%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU168+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:21:52 PM UTC 2026
% Result : Theorem 73.55s 9.80s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU168+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:54:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 73.55/9.80 % Refutation found
% 73.55/9.80 % SZS status Theorem for theBenchmark: Theorem is valid
% 73.55/9.80 % SZS output start CNFRefutation for theBenchmark
% 73.55/9.80 fof(f2,axiom,(
% 73.55/9.80 (! [A,B] :( B = powerset(A)<=> (! [C] :( in(C,B)<=> subset(C,A) ) )) )),
% 73.55/9.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 73.55/9.80 fof(f3,axiom,(
% 73.55/9.80 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 73.55/9.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 73.55/9.80 fof(f6,conjecture,(
% 73.55/9.80 (! [A] :(? [B] :( in(A,B)& (! [C,D] :( ( in(C,B)& subset(D,C) )=> in(D,B) ))& (! [C] :( in(C,B)=> in(powerset(C),B) ))& (! [C] :~ ( subset(C,B)& ~ are_equipotent(C,B)& ~ in(C,B) ) )) ))),
% 73.55/9.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 73.55/9.80 fof(f7,negated_conjecture,(
% 73.55/9.80 ~((! [A] :(? [B] :( in(A,B)& (! [C,D] :( ( in(C,B)& subset(D,C) )=> in(D,B) ))& (! [C] :( in(C,B)=> in(powerset(C),B) ))& (! [C] :~ ( subset(C,B)& ~ are_equipotent(C,B)& ~ in(C,B) ) )) )))),
% 73.55/9.80 inference(negated_conjecture,[status(cth)],[f6])).
% 73.55/9.80 fof(f8,axiom,(
% 73.55/9.80 (! [A] :(? [B] :( in(A,B)& (! [C,D] :( ( in(C,B)& subset(D,C) )=> in(D,B) ))& (! [C] :~ ( in(C,B)& (! [D] :~ ( in(D,B)& (! [E] :( subset(E,C)=> in(E,D) ) )) )))& (! [C] :~ ( subset(C,B)& ~ are_equipotent(C,B)& ~ in(C,B) ) )) ))),
% 73.55/9.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 73.55/9.80 fof(f11,plain,(
% 73.55/9.80 ![A,B]: ((~B=powerset(A)|(![C]: ((~in(C,B)|subset(C,A))&(in(C,B)|~subset(C,A)))))&(B=powerset(A)|(?[C]: ((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))))),
% 73.55/9.80 inference(NNF_transformation,[status(thm)],[f2])).
% 73.55/9.80 fof(f12,plain,(
% 73.55/9.80 (![A,B]: (~B=powerset(A)|((![C]: (~in(C,B)|subset(C,A)))&(![C]: (in(C,B)|~subset(C,A))))))&(![A,B]: (B=powerset(A)|(?[C]: ((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))))),
% 73.55/9.80 inference(miniscoping,[status(thm)],[f11])).
% 73.55/9.80 fof(f13,plain,(
% 73.55/9.80 (![A,B]: (~B=powerset(A)|((![C]: (~in(C,B)|subset(C,A)))&(![C]: (in(C,B)|~subset(C,A))))))&(![A,B]: (B=powerset(A)|((~in(sK0_skl(B,A),B)|~subset(sK0_skl(B,A),A))&(in(sK0_skl(B,A),B)|subset(sK0_skl(B,A),A)))))),
% 73.55/9.80 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f12])).
% 73.55/9.80 fof(f14,plain,(
% 73.55/9.80 ![X0,X1,X2]: (~X0=powerset(X1)|~in(X2,X0)|subset(X2,X1))),
% 73.55/9.80 inference(cnf_transformation,[status(thm)],[f13])).
% 73.55/9.80 fof(f18,plain,(
% 73.55/9.80 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 73.55/9.80 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 73.55/9.80 fof(f19,plain,(
% 73.55/9.80 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 73.55/9.80 inference(NNF_transformation,[status(thm)],[f18])).
% 73.55/9.80 fof(f20,plain,(
% 73.55/9.80 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 73.55/9.80 inference(miniscoping,[status(thm)],[f19])).
% 73.55/9.80 fof(f21,plain,(
% 73.55/9.80 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK1_skl(B,A),A)&~in(sK1_skl(B,A),B))))),
% 73.55/9.80 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f20])).
% 73.55/9.80 fof(f22,plain,(
% 73.55/9.80 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 73.55/9.80 inference(cnf_transformation,[status(thm)],[f21])).
% 73.55/9.80 fof(f23,plain,(
% 73.55/9.80 ![X0,X1]: (subset(X0,X1)|in(sK1_skl(X1,X0),X0))),
% 73.55/9.80 inference(cnf_transformation,[status(thm)],[f21])).
% 73.55/9.80 fof(f24,plain,(
% 73.55/9.80 ![X0,X1]: (subset(X0,X1)|~in(sK1_skl(X1,X0),X1))),
% 73.55/9.80 inference(cnf_transformation,[status(thm)],[f21])).
% 73.55/9.80 fof(f27,plain,(
% 73.55/9.80 (?[A]: ![B]: (((~in(A,B)|(?[C,D]: ((in(C,B)&subset(D,C))&~in(D,B))))|(?[C]: (in(C,B)&~in(powerset(C),B))))|(?[C]: ((subset(C,B)&~are_equipotent(C,B))&~in(C,B)))))),
% 73.55/9.80 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 73.55/9.80 fof(f28,definition,(
% 73.55/9.80 ![B,C,D]: (sP0_prd(D,C,B)<=>((in(C,B)&subset(D,C))&~in(D,B)))),
% 73.55/9.80 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 73.55/9.80 fof(f29,definition,(
% 73.55/9.80 ![B,C]: (sP1_prd(C,B)<=>(in(C,B)&~in(powerset(C),B)))),
% 73.55/9.80 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 73.55/9.80 fof(f30,plain,(
% 73.55/9.80 ?[A]: ![B]: (((~in(A,B)|(?[C,D]: sP0_prd(D,C,B)))|(?[C]: sP1_prd(C,B)))|(?[C]: ((subset(C,B)&~are_equipotent(C,B))&~in(C,B))))),
% 73.55/9.80 inference(formula_renaming,[status(thm)],[f27,f29,f28])).
% 73.55/9.80 fof(f31,plain,(
% 73.55/9.80 ![B]: (((~in(sK2_skl,B)|sP0_prd(sK4_skl(B),sK3_skl(B),B))|sP1_prd(sK5_skl(B),B))|((subset(sK6_skl(B),B)&~are_equipotent(sK6_skl(B),B))&~in(sK6_skl(B),B)))),
% 73.55/9.80 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(A,sK2_skl),skolemize(C,sK3_skl(B)),skolemize(D,sK4_skl(B)),skolemize(C,sK5_skl(B)),skolemize(C,sK6_skl(B))],[f30])).
% 73.55/9.80 fof(f32,plain,(
% 73.55/9.80 ![X0]: (~in(sK2_skl,X0)|sP0_prd(sK4_skl(X0),sK3_skl(X0),X0)|sP1_prd(sK5_skl(X0),X0)|subset(sK6_skl(X0),X0))),
% 73.55/9.80 inference(cnf_transformation,[status(thm)],[f31])).
% 73.55/9.80 fof(f33,plain,(
% 73.55/9.80 ![X0]: (~in(sK2_skl,X0)|sP0_prd(sK4_skl(X0),sK3_skl(X0),X0)|sP1_prd(sK5_skl(X0),X0)|~are_equipotent(sK6_skl(X0),X0))),
% 73.55/9.80 inference(cnf_transformation,[status(thm)],[f31])).
% 73.55/9.80 fof(f34,plain,(
% 73.55/9.80 ![X0]: (~in(sK2_skl,X0)|sP0_prd(sK4_skl(X0),sK3_skl(X0),X0)|sP1_prd(sK5_skl(X0),X0)|~in(sK6_skl(X0),X0))),
% 73.55/9.80 inference(cnf_transformation,[status(thm)],[f31])).
% 73.55/9.80 fof(f35,plain,(
% 73.55/9.80 ![A]: (?[B]: (((in(A,B)&(![C,D]: ((~in(C,B)|~subset(D,C))|in(D,B))))&(![C]: (~in(C,B)|(?[D]: (in(D,B)&(![E]: (~subset(E,C)|in(E,D))))))))&(![C]: ((~subset(C,B)|are_equipotent(C,B))|in(C,B)))))),
% 73.55/9.80 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 73.55/9.80 fof(f36,plain,(
% 73.55/9.80 ![A]: ?[B]: (((in(A,B)&(![D]: ((![C]: (~in(C,B)|~subset(D,C)))|in(D,B))))&(![C]: (~in(C,B)|(?[D]: (in(D,B)&(![E]: (~subset(E,C)|in(E,D))))))))&(![C]: ((~subset(C,B)|are_equipotent(C,B))|in(C,B))))),
% 73.55/9.80 inference(miniscoping,[status(thm)],[f35])).
% 73.55/9.80 fof(f37,plain,(
% 73.55/9.80 ![A]: (((in(A,sK7_skl(A))&(![D]: ((![C]: (~in(C,sK7_skl(A))|~subset(D,C)))|in(D,sK7_skl(A)))))&(![C]: (~in(C,sK7_skl(A))|(in(sK8_skl(C,A),sK7_skl(A))&(![E]: (~subset(E,C)|in(E,sK8_skl(C,A))))))))&(![C]: ((~subset(C,sK7_skl(A))|are_equipotent(C,sK7_skl(A)))|in(C,sK7_skl(A)))))),
% 73.55/9.80 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(B,sK7_skl(A)),skolemize(D,sK8_skl(C,A))],[f36])).
% 73.55/9.80 fof(f38,plain,(
% 73.55/9.80 ![X0]: (in(X0,sK7_skl(X0)))),
% 73.55/9.80 inference(cnf_transformation,[status(thm)],[f37])).
% 73.55/9.80 fof(f39,plain,(
% 73.55/9.80 ![X0,X1,X2]: (~in(X0,sK7_skl(X1))|~subset(X2,X0)|in(X2,sK7_skl(X1)))),
% 73.55/9.80 inference(cnf_transformation,[status(thm)],[f37])).
% 73.55/9.80 fof(f40,plain,(
% 73.55/9.80 ![X0,X1]: (~in(X0,sK7_skl(X1))|in(sK8_skl(X0,X1),sK7_skl(X1)))),
% 73.55/9.80 inference(cnf_transformation,[status(thm)],[f37])).
% 73.55/9.80 fof(f41,plain,(
% 73.55/9.80 ![X0,X1,X2]: (~in(X0,sK7_skl(X1))|~subset(X2,X0)|in(X2,sK8_skl(X0,X1)))),
% 73.55/9.80 inference(cnf_transformation,[status(thm)],[f37])).
% 73.55/9.80 fof(f42,plain,(
% 73.55/9.80 ![X0,X1]: (~subset(X0,sK7_skl(X1))|are_equipotent(X0,sK7_skl(X1))|in(X0,sK7_skl(X1)))),
% 73.55/9.80 inference(cnf_transformation,[status(thm)],[f37])).
% 73.55/9.80 fof(f43,plain,(
% 73.55/9.80 ![B,C,D]: ((~sP0_prd(D,C,B)|((in(C,B)&subset(D,C))&~in(D,B)))&(sP0_prd(D,C,B)|((~in(C,B)|~subset(D,C))|in(D,B))))),
% 73.55/9.80 inference(NNF_transformation,[status(thm)],[f28])).
% 73.55/9.80 fof(f44,plain,(
% 73.55/9.80 (![B,C,D]: (~sP0_prd(D,C,B)|((in(C,B)&subset(D,C))&~in(D,B))))&(![B,C,D]: (sP0_prd(D,C,B)|((~in(C,B)|~subset(D,C))|in(D,B))))),
% 73.55/9.80 inference(miniscoping,[status(thm)],[f43])).
% 73.55/9.80 fof(f45,plain,(
% 73.55/9.80 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|in(X1,X2))),
% 73.55/9.80 inference(cnf_transformation,[status(thm)],[f44])).
% 73.55/9.80 fof(f46,plain,(
% 73.55/9.80 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|subset(X0,X1))),
% 73.55/9.80 inference(cnf_transformation,[status(thm)],[f44])).
% 73.55/9.80 fof(f47,plain,(
% 73.55/9.80 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|~in(X0,X2))),
% 73.55/9.80 inference(cnf_transformation,[status(thm)],[f44])).
% 73.55/9.80 fof(f49,plain,(
% 73.55/9.80 ![B,C]: ((~sP1_prd(C,B)|(in(C,B)&~in(powerset(C),B)))&(sP1_prd(C,B)|(~in(C,B)|in(powerset(C),B))))),
% 73.55/9.80 inference(NNF_transformation,[status(thm)],[f29])).
% 73.55/9.80 fof(f50,plain,(
% 73.55/9.80 (![B,C]: (~sP1_prd(C,B)|(in(C,B)&~in(powerset(C),B))))&(![B,C]: (sP1_prd(C,B)|(~in(C,B)|in(powerset(C),B))))),
% 73.55/9.80 inference(miniscoping,[status(thm)],[f49])).
% 73.55/9.80 fof(f51,plain,(
% 73.55/9.80 ![X0,X1]: (~sP1_prd(X0,X1)|in(X0,X1))),
% 73.55/9.80 inference(cnf_transformation,[status(thm)],[f50])).
% 73.55/9.80 fof(f52,plain,(
% 73.55/9.80 ![X0,X1]: (~sP1_prd(X0,X1)|~in(powerset(X0),X1))),
% 73.55/9.80 inference(cnf_transformation,[status(thm)],[f50])).
% 73.55/9.80 fof(f54,plain,(
% 73.55/9.80 ![X0,X1]: (~in(X0,powerset(X1))|subset(X0,X1))),
% 73.55/9.80 inference(destructive_equality_resolution,[status(thm)],[f14])).
% 73.55/9.80 fof(f79,plain,(
% 73.55/9.80 ![X0,X1]: (subset(powerset(X0),X1)|subset(sK1_skl(X1,powerset(X0)),X0))),
% 73.55/9.80 inference(resolution,[status(thm)],[f23,f54])).
% 73.55/9.80 fof(f97,plain,(
% 73.55/9.80 ![X0,X1,X2]: (~in(X0,sK7_skl(X1))|in(sK1_skl(X2,powerset(X0)),sK8_skl(X0,X1))|subset(powerset(X0),X2))),
% 73.55/9.80 inference(resolution,[status(thm)],[f41,f79])).
% 73.55/9.80 fof(f111,plain,(
% 73.55/9.80 ![X0]: (~subset(sK6_skl(sK7_skl(X0)),sK7_skl(X0))|in(sK6_skl(sK7_skl(X0)),sK7_skl(X0))|~in(sK2_skl,sK7_skl(X0))|sP0_prd(sK4_skl(sK7_skl(X0)),sK3_skl(sK7_skl(X0)),sK7_skl(X0))|sP1_prd(sK5_skl(sK7_skl(X0)),sK7_skl(X0)))),
% 73.55/9.80 inference(resolution,[status(thm)],[f42,f33])).
% 73.55/9.80 fof(f112,plain,(
% 73.55/9.80 ![X0]: (in(sK6_skl(sK7_skl(X0)),sK7_skl(X0))|~in(sK2_skl,sK7_skl(X0))|sP0_prd(sK4_skl(sK7_skl(X0)),sK3_skl(sK7_skl(X0)),sK7_skl(X0))|sP1_prd(sK5_skl(sK7_skl(X0)),sK7_skl(X0)))),
% 73.55/9.80 inference(forward_subsumption_resolution,[status(thm)],[f111,f32])).
% 73.55/9.80 fof(f136,plain,(
% 73.55/9.80 in(sK6_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|sP0_prd(sK4_skl(sK7_skl(sK2_skl)),sK3_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(resolution,[status(thm)],[f112,f38])).
% 73.55/9.80 fof(f142,plain,(
% 73.55/9.80 in(sK6_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|~in(sK4_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(resolution,[status(thm)],[f136,f47])).
% 73.55/9.80 fof(f143,plain,(
% 73.55/9.80 in(sK6_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|subset(sK4_skl(sK7_skl(sK2_skl)),sK3_skl(sK7_skl(sK2_skl)))),
% 73.55/9.80 inference(resolution,[status(thm)],[f136,f46])).
% 73.55/9.80 fof(f144,plain,(
% 73.55/9.80 in(sK6_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|in(sK3_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(resolution,[status(thm)],[f136,f45])).
% 73.55/9.80 fof(f146,plain,(
% 73.55/9.80 sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|in(sK3_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|~in(sK2_skl,sK7_skl(sK2_skl))|sP0_prd(sK4_skl(sK7_skl(sK2_skl)),sK3_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(resolution,[status(thm)],[f144,f34])).
% 73.55/9.80 fof(f148,plain,(
% 73.55/9.80 sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|in(sK3_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|~in(sK2_skl,sK7_skl(sK2_skl))|sP0_prd(sK4_skl(sK7_skl(sK2_skl)),sK3_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(duplicate_literals_removal,[status(thm)],[f146])).
% 73.55/9.80 fof(f149,plain,(
% 73.55/9.80 sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|in(sK3_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|sP0_prd(sK4_skl(sK7_skl(sK2_skl)),sK3_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(forward_subsumption_resolution,[status(thm)],[f148,f38])).
% 73.55/9.80 fof(f153,plain,(
% 73.55/9.80 ![X0]: (in(sK6_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|~in(sK3_skl(sK7_skl(sK2_skl)),sK7_skl(X0))|in(sK4_skl(sK7_skl(sK2_skl)),sK7_skl(X0)))),
% 73.55/9.80 inference(resolution,[status(thm)],[f143,f39])).
% 73.55/9.80 fof(f158,plain,(
% 73.55/9.80 sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|in(sK3_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|in(sK3_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(resolution,[status(thm)],[f149,f45])).
% 73.55/9.80 fof(f159,plain,(
% 73.55/9.80 sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|in(sK3_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(duplicate_literals_removal,[status(thm)],[f158])).
% 73.55/9.80 fof(f248,plain,(
% 73.55/9.80 in(sK6_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|in(sK4_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(resolution,[status(thm)],[f153,f159])).
% 73.55/9.80 fof(f251,plain,(
% 73.55/9.80 in(sK6_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|in(sK4_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(duplicate_literals_removal,[status(thm)],[f248])).
% 73.55/9.80 fof(f252,plain,(
% 73.55/9.80 in(sK6_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(forward_subsumption_resolution,[status(thm)],[f251,f142])).
% 73.55/9.80 fof(f253,plain,(
% 73.55/9.80 sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|~in(sK2_skl,sK7_skl(sK2_skl))|sP0_prd(sK4_skl(sK7_skl(sK2_skl)),sK3_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(resolution,[status(thm)],[f252,f34])).
% 73.55/9.80 fof(f257,plain,(
% 73.55/9.80 sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|~in(sK2_skl,sK7_skl(sK2_skl))|sP0_prd(sK4_skl(sK7_skl(sK2_skl)),sK3_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(duplicate_literals_removal,[status(thm)],[f253])).
% 73.55/9.80 fof(f258,plain,(
% 73.55/9.80 sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|sP0_prd(sK4_skl(sK7_skl(sK2_skl)),sK3_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(forward_subsumption_resolution,[status(thm)],[f257,f38])).
% 73.55/9.80 fof(f260,plain,(
% 73.55/9.80 sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|~in(sK4_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(resolution,[status(thm)],[f258,f47])).
% 73.55/9.80 fof(f261,plain,(
% 73.55/9.80 sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|subset(sK4_skl(sK7_skl(sK2_skl)),sK3_skl(sK7_skl(sK2_skl)))),
% 73.55/9.80 inference(resolution,[status(thm)],[f258,f46])).
% 73.55/9.80 fof(f268,plain,(
% 73.55/9.80 ![X0]: (sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|~in(X0,sK4_skl(sK7_skl(sK2_skl)))|in(X0,sK3_skl(sK7_skl(sK2_skl))))),
% 73.55/9.80 inference(resolution,[status(thm)],[f261,f22])).
% 73.55/9.80 fof(f414,plain,(
% 73.55/9.80 ![X0,X1]: (~in(X0,sK7_skl(X1))|subset(powerset(X0),sK8_skl(X0,X1))|subset(powerset(X0),sK8_skl(X0,X1)))),
% 73.55/9.80 inference(resolution,[status(thm)],[f97,f24])).
% 73.55/9.80 fof(f417,plain,(
% 73.55/9.80 ![X0,X1]: (~in(X0,sK7_skl(X1))|subset(powerset(X0),sK8_skl(X0,X1)))),
% 73.55/9.80 inference(duplicate_literals_removal,[status(thm)],[f414])).
% 73.55/9.80 fof(f436,plain,(
% 73.55/9.80 ![X0,X1,X2]: (~in(X0,sK7_skl(X1))|~in(sK8_skl(X0,X1),sK7_skl(X2))|in(powerset(X0),sK7_skl(X2)))),
% 73.55/9.80 inference(resolution,[status(thm)],[f417,f39])).
% 73.55/9.80 fof(f493,plain,(
% 73.55/9.80 ![X0,X1]: (~in(X0,sK7_skl(X1))|in(powerset(X0),sK7_skl(X1))|~in(X0,sK7_skl(X1)))),
% 73.55/9.80 inference(resolution,[status(thm)],[f436,f40])).
% 73.55/9.80 fof(f496,plain,(
% 73.55/9.80 ![X0,X1]: (~in(X0,sK7_skl(X1))|in(powerset(X0),sK7_skl(X1)))),
% 73.55/9.80 inference(duplicate_literals_removal,[status(thm)],[f493])).
% 73.55/9.80 fof(f1579,plain,(
% 73.55/9.80 ![X0]: (~in(X0,sK4_skl(sK7_skl(sK2_skl)))|in(X0,sK3_skl(sK7_skl(sK2_skl)))|~in(powerset(sK5_skl(sK7_skl(sK2_skl))),sK7_skl(sK2_skl)))),
% 73.55/9.80 inference(resolution,[status(thm)],[f268,f52])).
% 73.55/9.80 fof(f2743,plain,(
% 73.55/9.80 ![X0]: (~in(X0,sK4_skl(sK7_skl(sK2_skl)))|in(X0,sK3_skl(sK7_skl(sK2_skl)))|~in(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl)))),
% 73.55/9.80 inference(resolution,[status(thm)],[f1579,f496])).
% 73.55/9.80 fof(f2746,plain,(
% 73.55/9.80 ![X0]: (~in(X0,sK4_skl(sK7_skl(sK2_skl)))|in(X0,sK3_skl(sK7_skl(sK2_skl)))|~sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl)))),
% 73.55/9.80 inference(resolution,[status(thm)],[f2743,f51])).
% 73.55/9.80 fof(f2747,plain,(
% 73.55/9.80 ![X0]: (~in(X0,sK4_skl(sK7_skl(sK2_skl)))|in(X0,sK3_skl(sK7_skl(sK2_skl))))),
% 73.55/9.80 inference(forward_subsumption_resolution,[status(thm)],[f2746,f268])).
% 73.55/9.80 fof(f2773,plain,(
% 73.55/9.80 ![X0]: (in(sK1_skl(X0,sK4_skl(sK7_skl(sK2_skl))),sK3_skl(sK7_skl(sK2_skl)))|subset(sK4_skl(sK7_skl(sK2_skl)),X0))),
% 73.55/9.80 inference(resolution,[status(thm)],[f2747,f23])).
% 73.55/9.80 fof(f2806,plain,(
% 73.55/9.80 subset(sK4_skl(sK7_skl(sK2_skl)),sK3_skl(sK7_skl(sK2_skl)))|subset(sK4_skl(sK7_skl(sK2_skl)),sK3_skl(sK7_skl(sK2_skl)))),
% 73.55/9.80 inference(resolution,[status(thm)],[f2773,f24])).
% 73.55/9.80 fof(f2812,plain,(
% 73.55/9.80 subset(sK4_skl(sK7_skl(sK2_skl)),sK3_skl(sK7_skl(sK2_skl)))),
% 73.55/9.80 inference(duplicate_literals_removal,[status(thm)],[f2806])).
% 73.55/9.80 fof(f2815,plain,(
% 73.55/9.80 ![X0]: (~in(sK3_skl(sK7_skl(sK2_skl)),sK7_skl(X0))|in(sK4_skl(sK7_skl(sK2_skl)),sK7_skl(X0)))),
% 73.55/9.80 inference(resolution,[status(thm)],[f2812,f39])).
% 73.55/9.80 fof(f2818,plain,(
% 73.55/9.80 in(sK4_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))|sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(resolution,[status(thm)],[f2815,f159])).
% 73.55/9.80 fof(f2821,plain,(
% 73.55/9.80 sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(forward_subsumption_resolution,[status(thm)],[f2818,f260])).
% 73.55/9.80 fof(f2828,plain,(
% 73.55/9.80 ~in(powerset(sK5_skl(sK7_skl(sK2_skl))),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(resolution,[status(thm)],[f2821,f52])).
% 73.55/9.80 fof(f2857,plain,(
% 73.55/9.80 ~in(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(resolution,[status(thm)],[f2828,f496])).
% 73.55/9.80 fof(f2860,plain,(
% 73.55/9.80 ~sP1_prd(sK5_skl(sK7_skl(sK2_skl)),sK7_skl(sK2_skl))),
% 73.55/9.80 inference(resolution,[status(thm)],[f2857,f51])).
% 58.19/9.84 fof(f2861,plain,(
% 58.19/9.84 $false),
% 58.19/9.84 inference(forward_subsumption_resolution,[status(thm)],[f2860,f2821])).
% 58.19/9.84 % SZS output end CNFRefutation for theBenchmark.p
% 58.19/9.86 % Elapsed time: 9.479769 seconds
% 58.19/9.86 % CPU time: 74.677932 seconds
% 58.19/9.86 % Total memory used: 426.718 MB
% 58.19/9.86 % Net memory used: 312.449 MB
%------------------------------------------------------------------------------