%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET644+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 02:12:23 PM UTC 2026
% Result : Theorem 0.12s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET644+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 05:31:05 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.42 % Refutation found
% 0.12/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.42 fof(f2,axiom,(
% 0.12/0.42 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,set_type)=> ( member(ordered_pair(B,C),cross_product(D,E))<=> ( member(B,D)& member(C,E) ) ) ) )) )) )) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f5,axiom,(
% 0.12/0.42 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( (! [D] :( ilf_type(D,subset_type(cross_product(B,C)))=> ilf_type(D,relation_type(B,C)) ))& (! [E] :( ilf_type(E,relation_type(B,C))=> ilf_type(E,subset_type(cross_product(B,C))) ) )) ) )) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f14,axiom,(
% 0.12/0.42 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( ilf_type(C,subset_type(B))<=> ilf_type(C,member_type(power_set(B))) ) ) )) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f17,axiom,(
% 0.12/0.42 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( subset(B,C)<=> (! [D] :( ilf_type(D,set_type)=> ( member(D,B)=> member(D,C) ) ) )) ) )) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f19,axiom,(
% 0.12/0.42 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( member(B,power_set(C))<=> (! [D] :( ilf_type(D,set_type)=> ( member(D,B)=> member(D,C) ) ) )) ) )) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f20,axiom,(
% 0.12/0.42 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f21,axiom,(
% 0.12/0.42 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f23,axiom,(
% 0.12/0.42 (! [B] :( ilf_type(B,set_type)=> ( relation_like(B)<=> (! [C] :( ilf_type(C,set_type)=> ( member(C,B)=> (? [D] :( ilf_type(D,set_type)& (? [E] :( ilf_type(E,set_type)& C = ordered_pair(D,E) ) )) )) ) )) ) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f24,axiom,(
% 0.12/0.42 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,subset_type(cross_product(B,C)))=> relation_like(D) ) )) )) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f27,axiom,(
% 0.12/0.42 (! [B] : ilf_type(B,set_type) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f28,conjecture,(
% 0.12/0.42 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(B,C))=> ( member(D,E)=> (? [F] :( ilf_type(F,set_type)& (? [G] :( ilf_type(G,set_type)& D = ordered_pair(F,G)& member(F,B)& member(G,C) ) )) )) ) )) )) )) )),
% 0.12/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.42 fof(f29,negated_conjecture,(
% 0.12/0.42 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(B,C))=> ( member(D,E)=> (? [F] :( ilf_type(F,set_type)& (? [G] :( ilf_type(G,set_type)& D = ordered_pair(F,G)& member(F,B)& member(G,C) ) )) )) ) )) )) )) ))),
% 0.12/0.42 inference(negated_conjecture,[status(cth)],[f28])).
% 0.12/0.42 fof(f35,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|(member(ordered_pair(B,C),cross_product(D,E))<=>(member(B,D)&member(C,E))))))))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.12/0.42 fof(f36,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|((~member(ordered_pair(B,C),cross_product(D,E))|(member(B,D)&member(C,E)))&(member(ordered_pair(B,C),cross_product(D,E))|(~member(B,D)|~member(C,E)))))))))))),
% 0.12/0.42 inference(NNF_transformation,[status(thm)],[f35])).
% 0.12/0.42 fof(f37,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.42 fof(f38,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.42 fof(f47,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((![D]: (~ilf_type(D,subset_type(cross_product(B,C)))|ilf_type(D,relation_type(B,C))))&(![E]: (~ilf_type(E,relation_type(B,C))|ilf_type(E,subset_type(cross_product(B,C)))))))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.12/0.42 fof(f49,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|ilf_type(X2,subset_type(cross_product(X0,X1))))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f47])).
% 0.12/0.42 fof(f73,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(ilf_type(C,subset_type(B))<=>ilf_type(C,member_type(power_set(B)))))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.12/0.42 fof(f74,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~ilf_type(C,subset_type(B))|ilf_type(C,member_type(power_set(B))))&(ilf_type(C,subset_type(B))|~ilf_type(C,member_type(power_set(B))))))))),
% 0.12/0.42 inference(NNF_transformation,[status(thm)],[f73])).
% 0.12/0.42 fof(f75,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X1,subset_type(X0))|ilf_type(X1,member_type(power_set(X0))))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f74])).
% 0.12/0.42 fof(f88,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(subset(B,C)<=>(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C))))))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.12/0.42 fof(f89,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~subset(B,C)|(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C)))))&(subset(B,C)|(?[D]: (ilf_type(D,set_type)&(member(D,B)&~member(D,C)))))))))),
% 0.12/0.42 inference(NNF_transformation,[status(thm)],[f88])).
% 0.12/0.42 fof(f90,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~subset(B,C)|(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C)))))&(subset(B,C)|(ilf_type(sK6_skl(C,B),set_type)&(member(sK6_skl(C,B),B)&~member(sK6_skl(C,B),C))))))))),
% 0.12/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(D,sK6_skl(C,B))],[f89])).
% 0.12/0.42 fof(f91,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X0,X1)|~ilf_type(X2,set_type)|~member(X2,X0)|member(X2,X1))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f90])).
% 0.12/0.42 fof(f93,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|member(sK6_skl(X1,X0),X0))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f90])).
% 0.12/0.42 fof(f94,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|~member(sK6_skl(X1,X0),X1))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f90])).
% 0.12/0.42 fof(f97,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(member(B,power_set(C))<=>(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C))))))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.12/0.42 fof(f98,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~member(B,power_set(C))|(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C)))))&(member(B,power_set(C))|(?[D]: (ilf_type(D,set_type)&(member(D,B)&~member(D,C)))))))))),
% 0.12/0.42 inference(NNF_transformation,[status(thm)],[f97])).
% 0.12/0.42 fof(f99,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~member(B,power_set(C))|(![D]: (~ilf_type(D,set_type)|(~member(D,B)|member(D,C)))))&(member(B,power_set(C))|(ilf_type(sK7_skl(C,B),set_type)&(member(sK7_skl(C,B),B)&~member(sK7_skl(C,B),C))))))))),
% 0.12/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(D,sK7_skl(C,B))],[f98])).
% 0.12/0.42 fof(f100,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(X0,power_set(X1))|~ilf_type(X2,set_type)|~member(X2,X0)|member(X2,X1))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f99])).
% 0.12/0.42 fof(f104,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.12/0.42 fof(f105,plain,(
% 0.12/0.42 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f104])).
% 0.12/0.42 fof(f107,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.12/0.42 fof(f108,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|((~ilf_type(B,member_type(C))|member(B,C))&(ilf_type(B,member_type(C))|~member(B,C))))))),
% 0.12/0.42 inference(NNF_transformation,[status(thm)],[f107])).
% 0.12/0.42 fof(f109,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f108])).
% 0.12/0.42 fof(f114,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(relation_like(B)<=>(![C]: (~ilf_type(C,set_type)|(~member(C,B)|(?[D]: (ilf_type(D,set_type)&(?[E]: (ilf_type(E,set_type)&C=ordered_pair(D,E))))))))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.12/0.42 fof(f115,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|((~relation_like(B)|(![C]: (~ilf_type(C,set_type)|(~member(C,B)|(?[D]: (ilf_type(D,set_type)&(?[E]: (ilf_type(E,set_type)&C=ordered_pair(D,E)))))))))&(relation_like(B)|(?[C]: (ilf_type(C,set_type)&(member(C,B)&(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|~C=ordered_pair(D,E)))))))))))),
% 0.12/0.42 inference(NNF_transformation,[status(thm)],[f114])).
% 0.12/0.42 fof(f116,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|((~relation_like(B)|(![C]: (~ilf_type(C,set_type)|(~member(C,B)|(ilf_type(sK9_skl(C,B),set_type)&(ilf_type(sK10_skl(C,B),set_type)&C=ordered_pair(sK9_skl(C,B),sK10_skl(C,B))))))))&(relation_like(B)|(ilf_type(sK11_skl(B),set_type)&(member(sK11_skl(B),B)&(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|~sK11_skl(B)=ordered_pair(D,E))))))))))),
% 0.12/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl,sK10_skl,sK11_skl]),skolemize(D,sK9_skl(C,B)),skolemize(E,sK10_skl(C,B)),skolemize(C,sK11_skl(B))],[f115])).
% 0.12/0.42 fof(f119,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,set_type)|~relation_like(X0)|~ilf_type(X1,set_type)|~member(X1,X0)|X1=ordered_pair(sK9_skl(X1,X0),sK10_skl(X1,X0)))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f116])).
% 0.12/0.42 fof(f123,plain,(
% 0.12/0.42 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,subset_type(cross_product(B,C)))|relation_like(D))))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.12/0.42 fof(f124,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,subset_type(cross_product(X0,X1)))|relation_like(X2))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f123])).
% 0.12/0.42 fof(f133,plain,(
% 0.12/0.42 ![X0]: (ilf_type(X0,set_type))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.42 fof(f134,plain,(
% 0.12/0.42 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,set_type)&(?[E]: (ilf_type(E,relation_type(B,C))&(member(D,E)&(![F]: (~ilf_type(F,set_type)|(![G]: (((~ilf_type(G,set_type)|~D=ordered_pair(F,G))|~member(F,B))|~member(G,C))))))))))))))),
% 0.12/0.42 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.12/0.42 fof(f135,plain,(
% 0.12/0.42 (ilf_type(sK13_skl,set_type)&(ilf_type(sK14_skl,set_type)&(ilf_type(sK15_skl,set_type)&(ilf_type(sK16_skl,relation_type(sK13_skl,sK14_skl))&(member(sK15_skl,sK16_skl)&(![F]: (~ilf_type(F,set_type)|(![G]: (((~ilf_type(G,set_type)|~sK15_skl=ordered_pair(F,G))|~member(F,sK13_skl))|~member(G,sK14_skl))))))))))),
% 0.12/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl,sK15_skl,sK16_skl]),skolemize(B,sK13_skl),skolemize(C,sK14_skl),skolemize(D,sK15_skl),skolemize(E,sK16_skl)],[f134])).
% 0.12/0.42 fof(f139,plain,(
% 0.12/0.42 ilf_type(sK16_skl,relation_type(sK13_skl,sK14_skl))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f135])).
% 0.12/0.42 fof(f140,plain,(
% 0.12/0.42 member(sK15_skl,sK16_skl)),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f135])).
% 0.12/0.42 fof(f141,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~sK15_skl=ordered_pair(X0,X1)|~member(X0,sK13_skl)|~member(X1,sK14_skl))),
% 0.12/0.42 inference(cnf_transformation,[status(thm)],[f135])).
% 0.12/0.42 fof(f155,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X0,X2)))|relation_like(X1))),
% 0.12/0.42 inference(backward_subsumption_resolution,[status(thm)],[f124,f133])).
% 0.12/0.42 fof(f158,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,set_type)|~relation_like(X0)|~member(X1,X0)|X1=ordered_pair(sK9_skl(X1,X0),sK10_skl(X1,X0)))),
% 0.12/0.42 inference(backward_subsumption_resolution,[status(thm)],[f119,f133])).
% 0.12/0.42 fof(f160,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 0.12/0.42 inference(backward_subsumption_resolution,[status(thm)],[f109,f133])).
% 0.12/0.42 fof(f161,plain,(
% 0.12/0.42 ![X0]: (~empty(power_set(X0)))),
% 0.12/0.42 inference(backward_subsumption_resolution,[status(thm)],[f105,f133])).
% 0.12/0.42 fof(f164,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 0.12/0.42 inference(backward_subsumption_resolution,[status(thm)],[f100,f133])).
% 0.12/0.42 fof(f165,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X0,X1)|~member(sK6_skl(X1,X0),X1))),
% 0.12/0.42 inference(backward_subsumption_resolution,[status(thm)],[f94,f133])).
% 0.12/0.42 fof(f166,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X0,X1)|member(sK6_skl(X1,X0),X0))),
% 0.12/0.42 inference(backward_subsumption_resolution,[status(thm)],[f93,f133])).
% 0.12/0.42 fof(f167,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.12/0.42 inference(backward_subsumption_resolution,[status(thm)],[f91,f133])).
% 0.12/0.42 fof(f172,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(X0))|ilf_type(X1,member_type(power_set(X0))))),
% 0.12/0.42 inference(backward_subsumption_resolution,[status(thm)],[f75,f133])).
% 0.12/0.42 fof(f179,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|ilf_type(X1,subset_type(cross_product(X0,X2))))),
% 0.12/0.42 inference(backward_subsumption_resolution,[status(thm)],[f49,f133])).
% 0.12/0.42 fof(f182,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 0.12/0.42 inference(backward_subsumption_resolution,[status(thm)],[f38,f133])).
% 0.12/0.42 fof(f183,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 0.12/0.42 inference(backward_subsumption_resolution,[status(thm)],[f37,f133])).
% 0.12/0.42 fof(f185,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,set_type)|~sK15_skl=ordered_pair(X1,X0)|~member(X1,sK13_skl)|~member(X0,sK14_skl))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f141,f133])).
% 0.12/0.42 fof(f189,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~ilf_type(X0,subset_type(cross_product(X1,X2)))|relation_like(X0))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f155,f133])).
% 0.12/0.42 fof(f191,plain,(
% 0.12/0.42 ![X0,X1]: (~relation_like(X0)|~member(X1,X0)|X1=ordered_pair(sK9_skl(X1,X0),sK10_skl(X1,X0)))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f158,f133])).
% 0.12/0.42 fof(f192,plain,(
% 0.12/0.42 ![X0,X1]: (empty(X0)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f160,f133])).
% 0.12/0.42 fof(f195,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~member(X2,X1)|member(X2,X0))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f164,f133])).
% 0.12/0.42 fof(f196,plain,(
% 0.12/0.42 ![X0,X1]: (subset(X0,X1)|~member(sK6_skl(X1,X0),X1))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f165,f133])).
% 0.12/0.42 fof(f197,plain,(
% 0.12/0.42 ![X0,X1]: (subset(X0,X1)|member(sK6_skl(X1,X0),X0))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f166,f133])).
% 0.12/0.42 fof(f198,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~subset(X1,X0)|~member(X2,X1)|member(X2,X0))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f167,f133])).
% 0.12/0.42 fof(f202,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f172,f133])).
% 0.12/0.42 fof(f206,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(X0,subset_type(cross_product(X1,X2))))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f179,f133])).
% 0.12/0.42 fof(f209,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X2,X0),cross_product(X1,X3))|member(X0,X3))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f182,f133])).
% 0.12/0.42 fof(f210,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X2,X0),cross_product(X1,X3))|member(X2,X1))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f183,f133])).
% 0.12/0.42 fof(f211,plain,(
% 0.12/0.42 ![X0,X1]: (~sK15_skl=ordered_pair(X0,X1)|~member(X0,sK13_skl)|~member(X1,sK14_skl))),
% 0.12/0.42 inference(resolution,[status(thm)],[f133,f185])).
% 0.12/0.42 fof(f242,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 0.12/0.42 inference(resolution,[status(thm)],[f195,f133])).
% 0.12/0.42 fof(f259,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.12/0.42 inference(resolution,[status(thm)],[f198,f133])).
% 0.12/0.42 fof(f265,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|empty(power_set(X1))|member(X0,power_set(X1)))),
% 0.12/0.42 inference(resolution,[status(thm)],[f202,f192])).
% 0.12/0.42 fof(f266,plain,(
% 0.12/0.42 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|member(X0,power_set(X1)))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f265,f161])).
% 0.12/0.42 fof(f273,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(sK6_skl(X1,X2),X0)|subset(X2,X1))),
% 0.12/0.42 inference(resolution,[status(thm)],[f242,f196])).
% 0.12/0.42 fof(f280,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|relation_like(X0))),
% 0.12/0.42 inference(resolution,[status(thm)],[f206,f189])).
% 0.12/0.42 fof(f281,plain,(
% 0.12/0.42 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|member(X0,power_set(cross_product(X1,X2))))),
% 0.12/0.42 inference(resolution,[status(thm)],[f206,f266])).
% 0.12/0.42 fof(f283,plain,(
% 0.12/0.42 relation_like(sK16_skl)),
% 0.12/0.42 inference(resolution,[status(thm)],[f280,f139])).
% 0.12/0.42 fof(f284,plain,(
% 0.12/0.42 ![X0]: (~member(X0,sK16_skl)|X0=ordered_pair(sK9_skl(X0,sK16_skl),sK10_skl(X0,sK16_skl)))),
% 0.12/0.42 inference(resolution,[status(thm)],[f283,f191])).
% 0.12/0.42 fof(f290,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~member(ordered_pair(X1,X0),cross_product(X2,X3))|member(X0,X3))),
% 0.12/0.42 inference(resolution,[status(thm)],[f209,f133])).
% 0.12/0.42 fof(f291,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f290,f133])).
% 0.12/0.42 fof(f292,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~member(ordered_pair(X1,X0),cross_product(X2,X3))|member(X1,X2))),
% 0.12/0.42 inference(resolution,[status(thm)],[f210,f133])).
% 0.12/0.42 fof(f293,plain,(
% 0.12/0.42 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f292,f133])).
% 0.12/0.42 fof(f303,plain,(
% 0.12/0.42 sK15_skl=ordered_pair(sK9_skl(sK15_skl,sK16_skl),sK10_skl(sK15_skl,sK16_skl))),
% 0.12/0.42 inference(resolution,[status(thm)],[f284,f140])).
% 0.12/0.42 fof(f305,plain,(
% 0.12/0.42 ~member(sK9_skl(sK15_skl,sK16_skl),sK13_skl)|~member(sK10_skl(sK15_skl,sK16_skl),sK14_skl)),
% 0.12/0.42 inference(resolution,[status(thm)],[f303,f211])).
% 0.12/0.42 fof(f340,plain,(
% 0.12/0.42 member(sK16_skl,power_set(cross_product(sK13_skl,sK14_skl)))),
% 0.12/0.42 inference(resolution,[status(thm)],[f281,f139])).
% 0.12/0.42 fof(f411,plain,(
% 0.12/0.42 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1)|subset(X0,X1))),
% 0.12/0.42 inference(resolution,[status(thm)],[f273,f197])).
% 0.12/0.42 fof(f414,plain,(
% 0.12/0.42 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1))),
% 0.12/0.42 inference(duplicate_literals_removal,[status(thm)],[f411])).
% 0.12/0.42 fof(f415,plain,(
% 0.12/0.42 subset(sK16_skl,cross_product(sK13_skl,sK14_skl))),
% 0.12/0.42 inference(resolution,[status(thm)],[f414,f340])).
% 0.12/0.42 fof(f461,plain,(
% 0.12/0.42 ![X0]: (~member(X0,sK16_skl)|member(X0,cross_product(sK13_skl,sK14_skl)))),
% 0.12/0.42 inference(resolution,[status(thm)],[f415,f259])).
% 0.12/0.42 fof(f463,plain,(
% 0.12/0.42 ![X0,X1]: (~member(ordered_pair(X0,X1),sK16_skl)|member(X0,sK13_skl))),
% 0.12/0.42 inference(resolution,[status(thm)],[f461,f293])).
% 0.12/0.42 fof(f464,plain,(
% 0.12/0.42 ![X0,X1]: (~member(ordered_pair(X0,X1),sK16_skl)|member(X1,sK14_skl))),
% 0.12/0.42 inference(resolution,[status(thm)],[f461,f291])).
% 0.12/0.42 fof(f470,plain,(
% 0.12/0.42 ~member(sK15_skl,sK16_skl)|member(sK9_skl(sK15_skl,sK16_skl),sK13_skl)),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f303,f463])).
% 0.12/0.42 fof(f471,plain,(
% 0.12/0.42 ~member(sK10_skl(sK15_skl,sK16_skl),sK14_skl)),
% 0.12/0.42 inference(backward_subsumption_resolution,[status(thm)],[f305,f472])).
% 0.12/0.42 fof(f472,plain,(
% 0.12/0.42 member(sK9_skl(sK15_skl,sK16_skl),sK13_skl)),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f470,f140])).
% 0.12/0.42 fof(f524,plain,(
% 0.12/0.42 ~member(sK15_skl,sK16_skl)|member(sK10_skl(sK15_skl,sK16_skl),sK14_skl)),
% 0.12/0.42 inference(paramodulation,[status(thm)],[f303,f464])).
% 0.12/0.42 fof(f526,plain,(
% 0.12/0.42 member(sK10_skl(sK15_skl,sK16_skl),sK14_skl)),
% 0.12/0.42 inference(forward_subsumption_resolution,[status(thm)],[f524,f140])).
% 0.12/0.42 fof(f527,plain,(
% 0.12/0.42 $false),
% 0.12/0.42 inference(backward_subsumption_resolution,[status(thm)],[f471,f526])).
% 0.12/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.44 % Elapsed time: 0.081456 seconds
% 0.12/0.44 % CPU time: 0.279852 seconds
% 0.12/0.44 % Total memory used: 85.945 MB
% 0.12/0.44 % Net memory used: 85.723 MB
%------------------------------------------------------------------------------