1. Background

2. Extreme Failed SuperHyperForcing

$\left(i\right)$

an 1-failed SuperHyperForcing  $\mathcal{Z}\left(NSHG\right)$ for a neutrosophic SuperHyperGraph $NSHG:(V,E)$ is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex;

$\left(ii\right)$

a neutrosophic 1-failed SuperHyperForcing  ${\mathcal{Z}}_n\left(NSHG\right)$ for a neutrosophic SuperHyperGraph $NSHG:(V,E)$ is the maximum neutrosophic cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ is turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex.

$\left(i\right)$

an $\delta -$1-failed SuperHyperForcing is a maximal 1-failed SuperHyperForcing of SuperHyperVertices with a maximum cardinality such that either of the following expressions hold for the (neutrosophic) cardinalities of SuperHyperNeighbors of $s\in S:$

$$\begin{array}{ccc}& & |S\cap N(s\left)\right|>|S\cap (V\setminus N\left(s\right)\left)\right|+\delta ;\hfill \end{array}$$

(2.1)

$$\begin{array}{ccc}& & |S\cap N(s\left)\right|<|S\cap (V\setminus N\left(s\right)\left)\right|+\delta .\hfill \end{array}$$

(2.2)

The Expression (2.1), holds if S is an $\delta -$ SuperHyperOffensive. And the Expression (2.2), holds if S is an $\delta -$ SuperHyperDefensive;

$\left(ii\right)$

a neutrosophic $\delta -$1-failed SuperHyperForcing is a maximal neutrosophic 1-failed SuperHyperForcing of SuperHyperVertices with maximum neutrosophic cardinality such that either of the following expressions hold for the neutrosophic cardinalities of SuperHyperNeighbors of $s\in S:$

$$\begin{array}{ccc}& & {|S\cap N\left(s\right)|}_{neutrosophic}>{|S\cap (V\setminus N\left(s\right))|}_{neutrosophic}+\delta ;\hfill \end{array}$$

(2.3)

$$\begin{array}{ccc}& & {|S\cap N\left(s\right)|}_{neutrosophic}<{|S\cap (V\setminus N\left(s\right))|}_{neutrosophic}+\delta .\hfill \end{array}$$

(2.4)

The Expression (2.3), holds if S is a neutrosophic $\delta -$ SuperHyperOffensive. And the Expression (2.4), holds if S is a neutrosophic $\delta -$ SuperHyperDefensive.

• On the Figure (1), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. $E_1$ and $E_3$ are some empty SuperHyperEdges but $E_2$ is a loop SuperHyperEdge and $E_4$ is an SuperHyperEdge. Thus in the terms of SuperHyperNeighbor, there’s only one SuperHyperEdge, namely, $E_4.$ The SuperHyperVertex, $V_3$ is isolated means that there’s no SuperHyperEdge has it as an endpoint. Thus SuperHyperVertex, $V_3,$ is contained in every given 1-failed SuperHyperForcing. All the following SuperHyperSets of SuperHyperVertices are the simple type-SuperHyperSet of the 1-failed SuperHyperForcing.

  $$\begin{array}{ccc}& & \{V_3,V_1\}\hfill \\ & & \{V_3,V_2\}\hfill \\ & & \{V_3,V_4\}\hfill \end{array}$$
  The SuperHyperSets of SuperHyperVertices, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\},$ are the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSets of the SuperHyperVertices, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\},$ are the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing aren’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSets of SuperHyperVertices, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\},$ don’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing aren’t up. To sum them up, the SuperHyperSets of SuperHyperVertices, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\},$aren’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSets of the SuperHyperVertices, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\},$ are the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSets, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\}.$ Thus the non-obvious 1-failed SuperHyperForcing, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\},$ aren’t up. The obvious simple type-SuperHyperSets of the 1-failed SuperHyperForcing, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\},$ are a SuperHyperSets, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\},$ doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ It’s interesting to mention that the only obvious simple type-SuperHyperSets of the neutrosophic 1-failed SuperHyperForcing amid those obvious simple type-SuperHyperSets of the 1-failed SuperHyperForcing, is only $\{V_3,V_2\}.$
• On the Figure (2), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. $E_1,E_2$ and $E_3$ are some empty SuperHyperEdges but $E_4$ is an SuperHyperEdge. Thus in the terms of SuperHyperNeighbor, there’s only one SuperHyperEdge, namely, $E_4.$ The SuperHyperVertex, $V_3$ is isolated means that there’s no SuperHyperEdge has it as an endpoint. Thus SuperHyperVertex, $V_3,$ is contained in every given 1-failed SuperHyperForcing. All the following SuperHyperSets of SuperHyperVertices are the simple type-SuperHyperSet of the 1-failed SuperHyperForcing.

  $$\begin{array}{ccc}& & \{V_3,V_1\}\hfill \\ & & \{V_3,V_2\}\hfill \\ & & \{V_3,V_4\}\hfill \end{array}$$
  The SuperHyperSets of SuperHyperVertices, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\},$ are the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSets of the SuperHyperVertices, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\},$ are the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing aren’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSets of SuperHyperVertices, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\},$ don’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing aren’t up. To sum them up, the SuperHyperSets of SuperHyperVertices, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\},$aren’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSets of the SuperHyperVertices, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\},$ are the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSets, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\}.$ Thus the non-obvious 1-failed SuperHyperForcing, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\},$ aren’t up. The obvious simple type-SuperHyperSets of the 1-failed SuperHyperForcing, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\},$ are a SuperHyperSets, $\{V_3,V_1\},\{V_3,V_2\},\{V_3,V_4\},$ doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ It’s interesting to mention that the only obvious simple type-SuperHyperSets of the neutrosophic 1-failed SuperHyperForcing amid those obvious simple type-SuperHyperSets of the 1-failed SuperHyperForcing, is only $\{V_3,V_2\}.$
• On the Figure (3), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. $E_1,E_2$ and $E_3$ are some empty SuperHyperEdges but $E_4$ is an SuperHyperEdge. Thus in the terms of SuperHyperNeighbor, there’s only one SuperHyperEdge, namely, $E_4.$ The SuperHyperSets of SuperHyperVertices, $\left\{V_1\right\},\left\{V_2\right\},\left\{V_3\right\},$ are the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSets of the SuperHyperVertices, $\left\{V_1\right\},\left\{V_2\right\},\left\{V_3\right\},$ are the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing aren’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSets of SuperHyperVertices, $\left\{V_1\right\},\left\{V_2\right\},\left\{V_3\right\},$ don’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing aren’t up. To sum them up, the SuperHyperSets of SuperHyperVertices, $\left\{V_1\right\},\left\{V_2\right\},\left\{V_3\right\},$aren’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSets of the SuperHyperVertices, $\left\{V_1\right\},\left\{V_2\right\},\left\{V_3\right\},$ are the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since they’vethe maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSets, $\left\{V_1\right\},\left\{V_2\right\},\left\{V_3\right\}.$ Thus the non-obvious 1-failed SuperHyperForcing, $\left\{V_1\right\},\left\{V_2\right\},\left\{V_3\right\},$ aren’t up. The obvious simple type-SuperHyperSets of the 1-failed SuperHyperForcing, $\left\{V_1\right\},\left\{V_2\right\},\left\{V_3\right\},$ are the SuperHyperSets, $\left\{V_1\right\},\left\{V_2\right\},\left\{V_3\right\},$ don’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ It’s interesting to mention that the only obvious simple type-SuperHyperSets of the neutrosophic 1-failed SuperHyperForcing amid those obvious simple type-SuperHyperSets of the 1-failed SuperHyperForcing, is only $\left\{V_1\right\}.$
• On the Figure (4), the SuperHyperNotion, namely, an 1-failed SuperHyperForcing, is up. There’s no empty SuperHyperEdge but $E_3$ are a loop SuperHyperEdge on $\left\{F\right\},$ and there are some SuperHyperEdges, namely, $E_1$ on $\{H,V_1,V_3\},$ alongside $E_2$ on $\{O,H,V_4,V_3\}$ and $E_4,E_5$ on $\{N,V_1,V_2,V_3,F\}.$ The SuperHyperSet of SuperHyperVertices, $\{V_1,V_2,V_3,V_4,O,H\},$ is the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSet of the SuperHyperVertices, $\{V_1,V_2,V_3,V_4,O,H\},$ is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSet of SuperHyperVertices, $\{V_1,V_2,V_3,V_4,O,H\},$ doesn’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing isn’t up. To sum them up, the SuperHyperSet of SuperHyperVertices, $\{V_1,V_2,V_3,V_4,O,H\},$isn’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSet of the SuperHyperVertices, $\{V_1,V_2,V_3,V_4,O,H\},$ is the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSet, $\{V_1,V_2,V_3,V_4,O,H\}.$ Thus the non-obvious 1-failed SuperHyperForcing, $\{V_1,V_2,V_3,V_4,O,H\},$ isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing, $\{V_1,V_2,V_3,V_4,O,H\},$ is a SuperHyperSet, $\{V_1,V_2,V_3,V_4,O,H\},$ doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$
• On the Figure (5), the SuperHyperNotion, namely, SuperHyperForcing, is up. There’s neither empty SuperHyperEdge nor loop SuperHyperEdge. The SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15}\},$$

  is the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSet of the SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15}\},$$

  is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15}\},$$

  doesn’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing isn’t up. To sum them up, the SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15}\},$$
  isn’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSet of the SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15}\},$$

  is the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSet,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15}\}.$$
  Thus the non-obvious 1-failed SuperHyperForcing,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15}\},$$

  isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15}\},$$

  is a SuperHyperSet,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15}\},$$

  doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E)$ is mentioned as the SuperHyperModel $NSHG:(V,E)$ in the Figure (5).
• On the Figure (6), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. There’s neither empty SuperHyperEdge nor loop SuperHyperEdge. The SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\},$$

  is the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSet of the SuperHyperVertices,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\},$$

  is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\},$$

  doesn’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing isn’t up. To sum them up, the SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\},$$
  isn’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSet of the SuperHyperVertices,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\},$$

  is the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSet,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\}.$$
  Thus the non-obvious 1-failed SuperHyperForcing,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\},$$

  isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\},$$

  is a SuperHyperSet,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\},$$

  doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E)$ with a illustrated SuperHyperModeling of the Figure (6).
• On the Figure (7), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. There’s neither empty SuperHyperEdge nor loop SuperHyperEdge. The SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  is the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSet of the SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  doesn’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing isn’t up. To sum them up, the SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$
  isn’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSet of the SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  is the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSet,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\}.$$
  Thus the non-obvious 1-failed SuperHyperForcing,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  is a SuperHyperSet,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E)$ of depicted SuperHyperModel as the Figure (7).
• On the Figure (8), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. There’s neither empty SuperHyperEdge nor loop SuperHyperEdge. The SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  is the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSet of the SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  doesn’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing isn’t up. To sum them up, the SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$
  isn’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSet of the SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  is the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSet,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\}.$$
  Thus the non-obvious 1-failed SuperHyperForcing,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  is a SuperHyperSet,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E)$ of dense SuperHyperModel as the Figure (8).
• On the Figure (9), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. There’s neither empty SuperHyperEdge nor loop SuperHyperEdge. The SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\},$$

  is the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSet of the SuperHyperVertices,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\},$$

  is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\},$$

  doesn’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing isn’t up. To sum them up, the SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\},$$
  isn’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSet of the SuperHyperVertices,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\},$$

  is the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSet,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\}.$$
  Thus the non-obvious 1-failed SuperHyperForcing,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\},$$

  isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\},$$

  is a SuperHyperSet,

  $$\{V_2,V_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},V_{19},V_{20},V_{22}\},$$

  doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E)$ with a messy SuperHyperModeling of the Figure (9).
• On the Figure (10), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. There’s neither empty SuperHyperEdge nor loop SuperHyperEdge. The SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  is the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSet of the SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  doesn’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing isn’t up. To sum them up, the SuperHyperSet of SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$
  isn’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSet of the SuperHyperVertices,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  is the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSet,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\}.$$
  Thus the non-obvious 1-failed SuperHyperForcing,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  is a SuperHyperSet,

  $$\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14}\},$$

  doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E)$ of highly-embedding-connected SuperHyperModel as the Figure (10).
• On the Figure (11), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. There’s neither empty SuperHyperEdge nor loop SuperHyperEdge. The SuperHyperSet of SuperHyperVertices, $\{V_2,V_4,V_5,V_6\},$ is the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSet of the SuperHyperVertices, $\{V_2,V_4,V_5,V_6\},$ is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSet of SuperHyperVertices, $\{V_2,V_4,V_5,V_6\},$ doesn’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing isn’t up. To sum them up, the SuperHyperSet of SuperHyperVertices, $\{V_2,V_4,V_5,V_6\},$isn’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSet of the SuperHyperVertices, $\{V_2,V_4,V_5,V_6\},$ is the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSet, $\{V_2,V_4,V_5,V_6\}.$ Thus the non-obvious 1-failed SuperHyperForcing, $\{V_2,V_4,V_5,V_6\},$ isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing, $\{V_2,V_4,V_5,V_6\},$ is a SuperHyperSet, $\{V_2,V_4,V_5,V_6\},$ doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$
• On the Figure (12), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. There’s neither empty SuperHyperEdge nor loop SuperHyperEdge. The SuperHyperSet of SuperHyperVertices, $\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10}\},$ is the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSet of the SuperHyperVertices, $\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10}\},$ is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSet of SuperHyperVertices, $\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10}\},$ doesn’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing isn’t up. To sum them up, the SuperHyperSet of SuperHyperVertices, $\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10}\},$isn’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSet of the SuperHyperVertices, $\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10}\},$ is the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSet, $\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10}\}.$ Thus the non-obvious 1-failed SuperHyperForcing, $\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10}\},$ isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing, $\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10}\},$ is a SuperHyperSet, $\{V_2,V_4,V_5,V_6,V_7,V_8,V_9,V_{10}\},$ doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E)$ in highly-multiple-connected-style SuperHyperModel On the Figure (12).
• On the Figure (13), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. There’s neither empty SuperHyperEdge nor loop SuperHyperEdge. The SuperHyperSet of SuperHyperVertices, $\{V_2,V_4,V_5,V_6\},$ is the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSet of the SuperHyperVertices, $\{V_2,V_4,V_5,V_6\},$ is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSet of SuperHyperVertices, $\{V_2,V_4,V_5,V_6\},$ doesn’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing isn’t up. To sum them up, the SuperHyperSet of SuperHyperVertices, $\{V_2,V_4,V_5,V_6\},$isn’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSet of the SuperHyperVertices, $\{V_2,V_4,V_5,V_6\},$ is the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSet, $\{V_2,V_4,V_5,V_6\}.$ Thus the non-obvious 1-failed SuperHyperForcing, $\{V_2,V_4,V_5,V_6\},$ isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing, $\{V_2,V_4,V_5,V_6\},$ is a SuperHyperSet, $\{V_2,V_4,V_5,V_6\},$ doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$
• On the Figure (14), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. There’s neither empty SuperHyperEdge nor loop SuperHyperEdge. The SuperHyperSet of SuperHyperVertices, $\left\{V_2\right\},$ is the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSet of the SuperHyperVertices, $\left\{V_2\right\},$ is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSet of SuperHyperVertices, $\left\{V_2\right\},$ doesn’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing isn’t up. To sum them up, the SuperHyperSet of SuperHyperVertices, $\left\{V_2\right\},$isn’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSet of the SuperHyperVertices, $\left\{V_2\right\},$ is the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSet, $\left\{V_2\right\}.$ Thus the non-obvious 1-failed SuperHyperForcing, $\left\{V_2\right\},$ isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing, $\left\{V_2\right\},$ is a SuperHyperSet, $\left\{V_2\right\},$ doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$
• On the Figure (15), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. There’s neither empty SuperHyperEdge nor loop SuperHyperEdge. The SuperHyperSet of SuperHyperVertices, $\{V_1,V_4,V_5,V_6\},$ is the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSet of the SuperHyperVertices, $\{V_1,V_4,V_5,V_6\},$ is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSet of SuperHyperVertices, $\{V_1,V_4,V_5,V_6\},$ doesn’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing isn’t up. To sum them up, the SuperHyperSet of SuperHyperVertices, $\{V_1,V_4,V_5,V_6\},$isn’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSet of the SuperHyperVertices, $\{V_1,V_4,V_5,V_6\},$ is the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSet, $\{V_1,V_4,V_5,V_6\}.$ Thus the non-obvious 1-failed SuperHyperForcing, $\{V_1,V_4,V_5,V_6\},$ isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing, $\{V_1,V_4,V_5,V_6\},$ is a SuperHyperSet, $\{V_1,V_4,V_5,V_6\},$ doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ as Linearly-Connected SuperHyperModel On the Figure (15).
• On the Figure (16), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. There’s neither empty SuperHyperEdge nor loop SuperHyperEdge. The SuperHyperSet of SuperHyperVertices,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22}\},\hfill \end{array}$$

  is the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSet of the SuperHyperVertices,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22}\},\hfill \end{array}$$

  is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSet of SuperHyperVertices,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22}\},\hfill \end{array}$$

  doesn’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing isn’t up. To sum them up, the SuperHyperSet of SuperHyperVertices,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22}\},\hfill \end{array}$$
  isn’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSet of the SuperHyperVertices,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22}\},\hfill \end{array}$$

  is the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSet,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22}\}.\hfill \end{array}$$
  Thus the non-obvious 1-failed SuperHyperForcing,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22}\},\hfill \end{array}$$

  isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22}\},\hfill \end{array}$$

  is a SuperHyperSet,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22}\},\hfill \end{array}$$

  doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$
• On the Figure (17), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. There’s neither empty SuperHyperEdge nor loop SuperHyperEdge. The SuperHyperSet of SuperHyperVertices,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22},V_{23},V_{24},V_{25},V_{26},V_{27},V_{28},V_{29}\},\hfill \end{array}$$

  is the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSet of the SuperHyperVertices,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22},V_{23},V_{24},V_{25},V_{26},V_{27},V_{28},V_{29}\},\hfill \end{array}$$

  is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSet of SuperHyperVertices,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22},V_{23},V_{24},V_{25},V_{26},V_{27},V_{28},V_{29}\},\hfill \end{array}$$

  doesn’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing isn’t up. To sum them up, the SuperHyperSet of SuperHyperVertices,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22},V_{23},V_{24},V_{25},V_{26},V_{27},V_{28},V_{29}\},\hfill \end{array}$$
  isn’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSet of the SuperHyperVertices,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22},V_{23},V_{24},V_{25},V_{26},V_{27},V_{28},V_{29}\},\hfill \end{array}$$

  is the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSet,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22},V_{23},V_{24},V_{25},V_{26},V_{27},V_{28},V_{29}\}.\hfill \end{array}$$
  Thus the non-obvious 1-failed SuperHyperForcing,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22},V_{23},V_{24},V_{25},V_{26},V_{27},V_{28},V_{29}\},\hfill \end{array}$$

  isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22},V_{23},V_{24},V_{25},V_{26},V_{27},V_{28},V_{29}\},\hfill \end{array}$$

  is a SuperHyperSet,

  $$\begin{array}{ccc}& & \{V_1,V_2,V_5,V_6,V_7,V_8,V_9,V_{10},V_{11},V_{12},V_{13},V_{14},V_{15},V_{16},V_{17},V_{18},\hfill \\ & & V_{19},V_{20},V_{21},V_{22},V_{23},V_{24},V_{25},V_{26},V_{27},V_{28},V_{29}\},\hfill \end{array}$$

  doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E)$ as Lnearly-over-packed SuperHyperModel is featured On the Figure (17).
• On the Figure (18), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. There’s neither empty SuperHyperEdge nor loop SuperHyperEdge. The SuperHyperSet of SuperHyperVertices, $\{V_2,R,M_6,L_6,F,P,J,M\},$ is the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSet of the SuperHyperVertices, $\{V_2,R,M_6,L_6,F,P,J,M\},$ is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSet of SuperHyperVertices, $\{V_2,R,M_6,L_6,F,P,J,M\},$ doesn’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing isn’t up. To sum them up, the SuperHyperSet of SuperHyperVertices, $\{V_2,R,M_6,L_6,F,P,J,M\},$isn’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSet of the SuperHyperVertices, $\{V_2,R,M_6,L_6,F,P,J,M\},$ is the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSet, $\{V_2,R,M_6,L_6,F,P,J,M\}.$ Thus the non-obvious 1-failed SuperHyperForcing, $\{V_2,R,M_6,L_6,F,P,J,M\},$ isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing, $\{V_2,R,M_6,L_6,F,P,J,M\},$ is a SuperHyperSet, $\{V_2,R,M_6,L_6,F,P,J,M\},$ doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$
• On the Figure (19), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. There’s neither empty SuperHyperEdge nor loop SuperHyperEdge. The SuperHyperSet of SuperHyperVertices,

  $$\begin{array}{ccc}& & \{T_3,S_3,U_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},R_6,S_6,Z_5,W_5,T_6\hfill \\ & & H_6,O_6,E_6,C_6,V_2,R,M_6,L_6,F,P,J,M\},\hfill \end{array}$$

  is the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSet of the SuperHyperVertices,

  $$\begin{array}{ccc}& & \{T_3,S_3,U_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},R_6,S_6,Z_5,W_5,T_6\hfill \\ & & H_6,O_6,E_6,C_6,V_2,R,M_6,L_6,F,P,J,M\},\hfill \end{array}$$

  is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSet of SuperHyperVertices,

  $$\begin{array}{ccc}& & \{T_3,S_3,U_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},R_6,S_6,Z_5,W_5,T_6\hfill \\ & & H_6,O_6,E_6,C_6,V_2,R,M_6,L_6,F,P,J,M\},\hfill \end{array}$$

  doesn’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing isn’t up. To sum them up, the SuperHyperSet of SuperHyperVertices,

  $$\begin{array}{ccc}& & \{T_3,S_3,U_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},R_6,S_6,Z_5,W_5,T_6\hfill \\ & & H_6,O_6,E_6,C_6,V_2,R,M_6,L_6,F,P,J,M\},\hfill \end{array}$$
  isn’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSet of the SuperHyperVertices,

  $$\begin{array}{ccc}& & \{T_3,S_3,U_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},R_6,S_6,Z_5,W_5,T_6\hfill \\ & & H_6,O_6,E_6,C_6,V_2,R,M_6,L_6,F,P,J,M\},\hfill \end{array}$$

  is the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSet,

  $$\begin{array}{ccc}& & \{T_3,S_3,U_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},R_6,S_6,Z_5,W_5,T_6\hfill \\ & & H_6,O_6,E_6,C_6,V_2,R,M_6,L_6,F,P,J,M\}.\hfill \end{array}$$
  Thus the non-obvious 1-failed SuperHyperForcing,

  $$\begin{array}{ccc}& & \{T_3,S_3,U_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},R_6,S_6,Z_5,W_5,T_6\hfill \\ & & H_6,O_6,E_6,C_6,V_2,R,M_6,L_6,F,P,J,M\},\hfill \end{array}$$

  isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing,

  $$\begin{array}{ccc}& & \{T_3,S_3,U_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},R_6,S_6,Z_5,W_5,T_6\hfill \\ & & H_6,O_6,E_6,C_6,V_2,R,M_6,L_6,F,P,J,M\},\hfill \end{array}$$

  is a SuperHyperSet,

  $$\begin{array}{ccc}& & \{T_3,S_3,U_3,V_4,V_5,V_6,V_7,V_8,V_9,V_{10},R_6,S_6,Z_5,W_5,T_6\hfill \\ & & H_6,O_6,E_6,C_6,V_2,R,M_6,L_6,F,P,J,M\},\hfill \end{array}$$

  doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$
• On the Figure (20), the SuperHyperNotion, namely, 1-failed SuperHyperForcing, is up. There’s neither empty SuperHyperEdge nor loop SuperHyperEdge. The SuperHyperSet of SuperHyperVertices,

  $$\begin{array}{ccc}& & \{V_2,V_3,V_4,T_6,U_6,H_7,V_5,R_9,\hfill \\ & & V_6,V_7,V_8,V_9,v_8,W_8,U_8,S_8,T_8,C_9,Z_8,S_9\hfill \\ & & K_9,O_9,L_9,O_4,V_{10},P_4,R_4,T_4,S_4\},\hfill \end{array}$$

  is the simple type-SuperHyperSet of the 1-failed SuperHyperForcing. The SuperHyperSet of the SuperHyperVertices,

  $$\begin{array}{ccc}& & \{V_2,V_3,V_4,T_6,U_6,H_7,V_5,R_9,\hfill \\ & & V_6,V_7,V_8,V_9,v_8,W_8,U_8,S_8,T_8,C_9,Z_8,S_9\hfill \\ & & K_9,O_9,L_9,O_4,V_{10},P_4,R_4,T_4,S_4\},\hfill \end{array}$$

  is the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There’re only two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious 1-failed SuperHyperForcing isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing is a SuperHyperSet excludes only two SuperHyperVertices are titled to SuperHyperNeighbors in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$ But the SuperHyperSet of SuperHyperVertices,

  $$\begin{array}{ccc}& & \{V_2,V_3,V_4,T_6,U_6,H_7,V_5,R_9,\hfill \\ & & V_6,V_7,V_8,V_9,v_8,W_8,U_8,S_8,T_8,C_9,Z_8,S_9\hfill \\ & & K_9,O_9,L_9,O_4,V_{10},P_4,R_4,T_4,S_4\},\hfill \end{array}$$

  doesn’t have more than two SuperHyperVertices outside the intended SuperHyperSet. Thus the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing isn’t up. To sum them up, the SuperHyperSet of SuperHyperVertices,

  $$\begin{array}{ccc}& & \{V_2,V_3,V_4,T_6,U_6,H_7,V_5,R_9,\hfill \\ & & V_6,V_7,V_8,V_9,v_8,W_8,U_8,S_8,T_8,C_9,Z_8,S_9\hfill \\ & & K_9,O_9,L_9,O_4,V_{10},P_4,R_4,T_4,S_4\},\hfill \end{array}$$
  isn’t the non-obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing. Since the SuperHyperSet of the SuperHyperVertices,

  $$\begin{array}{ccc}& & \{V_2,V_3,V_4,T_6,U_6,H_7,V_5,R_9,\hfill \\ & & V_6,V_7,V_8,V_9,v_8,W_8,U_8,S_8,T_8,C_9,Z_8,S_9\hfill \\ & & K_9,O_9,L_9,O_4,V_{10},P_4,R_4,T_4,S_4\},\hfill \end{array}$$

  is the SuperHyperSet Ss of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex and they are 1-failed SuperHyperForcing. Since it’s the maximum cardinality of a SuperHyperSet S of black SuperHyperVertices (whereas SuperHyperVertices in $V\left(G\right)\setminus S$ are colored white) such that $V\left(G\right)$ isn’t turned black after finitely many applications of “the color-change rule”: a white SuperHyperVertex is converted to a black SuperHyperVertex if it is the only white SuperHyperNeighbor of a black SuperHyperVertex with the additional condition is referred by “1-” about the usage of any black SuperHyperVertex only once to act on white SuperHyperVertex to be black SuperHyperVertex. There aren’t only more than two SuperHyperVertices outside the intended SuperHyperSet,

  $$\begin{array}{ccc}& & \{V_2,V_3,V_4,T_6,U_6,H_7,V_5,R_9,\hfill \\ & & V_6,V_7,V_8,V_9,v_8,W_8,U_8,S_8,T_8,C_9,Z_8,S_9\hfill \\ & & K_9,O_9,L_9,O_4,V_{10},P_4,R_4,T_4,S_4\},\hfill \end{array}$$
  Thus the non-obvious 1-failed SuperHyperForcing,

  $$\begin{array}{ccc}& & \{V_2,V_3,V_4,T_6,U_6,H_7,V_5,R_9,\hfill \\ & & V_6,V_7,V_8,V_9,v_8,W_8,U_8,S_8,T_8,C_9,Z_8,S_9\hfill \\ & & K_9,O_9,L_9,O_4,V_{10},P_4,R_4,T_4,S_4\},\hfill \end{array}$$

  isn’t up. The obvious simple type-SuperHyperSet of the 1-failed SuperHyperForcing,

  $$\begin{array}{ccc}& & \{V_2,V_3,V_4,T_6,U_6,H_7,V_5,R_9,\hfill \\ & & V_6,V_7,V_8,V_9,v_8,W_8,U_8,S_8,T_8,C_9,Z_8,S_9\hfill \\ & & K_9,O_9,L_9,O_4,V_{10},P_4,R_4,T_4,S_4\},\hfill \end{array}$$

  is a SuperHyperSet,

  $$\begin{array}{ccc}& & \{V_2,V_3,V_4,T_6,U_6,H_7,V_5,R_9,\hfill \\ & & V_6,V_7,V_8,V_9,v_8,W_8,U_8,S_8,T_8,C_9,Z_8,S_9\hfill \\ & & K_9,O_9,L_9,O_4,V_{10},P_4,R_4,T_4,S_4\},\hfill \end{array}$$

  doesn’t exclude only more than two SuperHyperVertices in a connected neutrosophic SuperHyperGraph $NSHG:(V,E).$