%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET659+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 02:12:25 PM UTC 2026
% Result : Theorem 0.12s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET659+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n006.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 05:31:28 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.51 % Refutation found
% 0.12/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.51 fof(f1,axiom,(
% 0.12/0.51 (! [B] :( ilf_type(B,binary_relation_type)=> (! [C] :( ilf_type(C,set_type)=> ( member(C,domain_of(B))<=> (? [D] :( ilf_type(D,set_type)& member(ordered_pair(C,D),B) ) )) ) )) )),
% 0.12/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f7,axiom,(
% 0.12/0.51 (! [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))) ) )) ) )) )),
% 0.12/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f9,axiom,(
% 0.12/0.51 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( B = C<=> ( subset(B,C)& subset(C,B) ) ) ) )) )),
% 0.12/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f15,axiom,(
% 0.12/0.51 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 0.12/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f17,axiom,(
% 0.12/0.51 (! [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))) ) ) )) )),
% 0.12/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f20,axiom,(
% 0.12/0.51 (! [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) ) ) )) ) )) )),
% 0.12/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f22,axiom,(
% 0.12/0.51 (! [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) ) ) )) ) )) )),
% 0.12/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f23,axiom,(
% 0.12/0.51 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 0.12/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f24,axiom,(
% 0.12/0.51 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 0.12/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f27,axiom,(
% 0.12/0.51 (! [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) ) )) )) )),
% 0.12/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f30,axiom,(
% 0.12/0.51 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> domain(B,C,D) = domain_of(D) ) )) )) )),
% 0.12/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f31,axiom,(
% 0.12/0.51 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> ilf_type(domain(B,C,D),subset_type(B)) ) )) )) )),
% 0.12/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f34,axiom,(
% 0.12/0.51 (! [B] : ilf_type(B,set_type) )),
% 0.12/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f35,conjecture,(
% 0.12/0.51 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(C,B))=> ( (! [E] :( ilf_type(E,set_type)=> ( member(E,C)=> (? [F] :( ilf_type(F,set_type)& member(ordered_pair(E,F),D) ) )) ))<=> domain(C,B,D) = C ) ) )) )) )),
% 0.12/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f36,negated_conjecture,(
% 0.12/0.51 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(C,B))=> ( (! [E] :( ilf_type(E,set_type)=> ( member(E,C)=> (? [F] :( ilf_type(F,set_type)& member(ordered_pair(E,F),D) ) )) ))<=> domain(C,B,D) = C ) ) )) )) ))),
% 0.12/0.51 inference(negated_conjecture,[status(cth)],[f35])).
% 0.12/0.51 fof(f37,plain,(
% 0.12/0.51 ![B]: (~ilf_type(B,binary_relation_type)|(![C]: (~ilf_type(C,set_type)|(member(C,domain_of(B))<=>(?[D]: (ilf_type(D,set_type)&member(ordered_pair(C,D),B)))))))),
% 0.12/0.51 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.12/0.51 fof(f38,plain,(
% 0.12/0.51 ![B]: (~ilf_type(B,binary_relation_type)|(![C]: (~ilf_type(C,set_type)|((~member(C,domain_of(B))|(?[D]: (ilf_type(D,set_type)&member(ordered_pair(C,D),B))))&(member(C,domain_of(B))|(![D]: (~ilf_type(D,set_type)|~member(ordered_pair(C,D),B))))))))),
% 0.12/0.52 inference(NNF_transformation,[status(thm)],[f37])).
% 0.12/0.52 fof(f39,plain,(
% 0.12/0.52 ![B]: (~ilf_type(B,binary_relation_type)|(![C]: (~ilf_type(C,set_type)|((~member(C,domain_of(B))|(ilf_type(sK0_skl(C,B),set_type)&member(ordered_pair(C,sK0_skl(C,B)),B)))&(member(C,domain_of(B))|(![D]: (~ilf_type(D,set_type)|~member(ordered_pair(C,D),B))))))))),
% 0.12/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f38])).
% 0.12/0.52 fof(f41,plain,(
% 0.12/0.52 ![X0,X1]: (~ilf_type(X0,binary_relation_type)|~ilf_type(X1,set_type)|~member(X1,domain_of(X0))|member(ordered_pair(X1,sK0_skl(X1,X0)),X0))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f39])).
% 0.12/0.52 fof(f42,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~ilf_type(X0,binary_relation_type)|~ilf_type(X1,set_type)|member(X1,domain_of(X0))|~ilf_type(X2,set_type)|~member(ordered_pair(X1,X2),X0))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f39])).
% 0.12/0.52 fof(f61,plain,(
% 0.12/0.52 ![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)))))))))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.12/0.52 fof(f63,plain,(
% 0.12/0.52 ![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))))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f61])).
% 0.12/0.52 fof(f67,plain,(
% 0.12/0.52 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(B=C<=>(subset(B,C)&subset(C,B))))))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.12/0.52 fof(f68,plain,(
% 0.12/0.52 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B)))))))),
% 0.12/0.52 inference(NNF_transformation,[status(thm)],[f67])).
% 0.12/0.52 fof(f71,plain,(
% 0.12/0.52 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f68])).
% 0.12/0.52 fof(f82,plain,(
% 0.12/0.52 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.12/0.52 fof(f83,plain,(
% 0.12/0.52 ![B]: (~ilf_type(B,set_type)|((~ilf_type(B,binary_relation_type)|(relation_like(B)&ilf_type(B,set_type)))&(ilf_type(B,binary_relation_type)|(~relation_like(B)|~ilf_type(B,set_type)))))),
% 0.12/0.52 inference(NNF_transformation,[status(thm)],[f82])).
% 0.12/0.52 fof(f86,plain,(
% 0.12/0.52 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f83])).
% 0.12/0.52 fof(f89,plain,(
% 0.12/0.52 ![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)))))))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.12/0.52 fof(f90,plain,(
% 0.12/0.52 ![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))))))))),
% 0.12/0.52 inference(NNF_transformation,[status(thm)],[f89])).
% 0.12/0.52 fof(f91,plain,(
% 0.12/0.52 ![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))))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f90])).
% 0.12/0.52 fof(f104,plain,(
% 0.12/0.52 ![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))))))))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.12/0.52 fof(f105,plain,(
% 0.12/0.52 ![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)))))))))),
% 0.12/0.52 inference(NNF_transformation,[status(thm)],[f104])).
% 0.12/0.52 fof(f106,plain,(
% 0.12/0.52 ![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))))))))),
% 0.12/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(D,sK6_skl(C,B))],[f105])).
% 0.12/0.52 fof(f109,plain,(
% 0.12/0.52 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|member(sK6_skl(X1,X0),X0))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f106])).
% 0.12/0.52 fof(f110,plain,(
% 0.12/0.52 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|~member(sK6_skl(X1,X0),X1))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f106])).
% 0.12/0.52 fof(f113,plain,(
% 0.12/0.52 ![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))))))))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.12/0.52 fof(f114,plain,(
% 0.12/0.52 ![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)))))))))),
% 0.12/0.52 inference(NNF_transformation,[status(thm)],[f113])).
% 0.12/0.52 fof(f115,plain,(
% 0.12/0.52 ![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))))))))),
% 0.12/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(D,sK7_skl(C,B))],[f114])).
% 0.12/0.52 fof(f116,plain,(
% 0.12/0.52 ![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))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f115])).
% 0.12/0.52 fof(f120,plain,(
% 0.12/0.52 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.12/0.52 fof(f121,plain,(
% 0.12/0.52 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f120])).
% 0.12/0.52 fof(f123,plain,(
% 0.12/0.52 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.12/0.52 fof(f124,plain,(
% 0.12/0.52 ![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))))))),
% 0.12/0.52 inference(NNF_transformation,[status(thm)],[f123])).
% 0.12/0.52 fof(f125,plain,(
% 0.12/0.52 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f124])).
% 0.12/0.52 fof(f139,plain,(
% 0.12/0.52 ![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))))))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.12/0.52 fof(f140,plain,(
% 0.12/0.52 ![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))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f139])).
% 0.12/0.52 fof(f149,plain,(
% 0.12/0.52 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|domain(B,C,D)=domain_of(D))))))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.12/0.52 fof(f150,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|domain(X0,X1,X2)=domain_of(X2))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f149])).
% 0.12/0.52 fof(f151,plain,(
% 0.12/0.52 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|ilf_type(domain(B,C,D),subset_type(B)))))))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.12/0.52 fof(f152,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|ilf_type(domain(X0,X1,X2),subset_type(X0)))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f151])).
% 0.12/0.52 fof(f157,plain,(
% 0.12/0.52 ![X0]: (ilf_type(X0,set_type))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.52 fof(f158,plain,(
% 0.12/0.52 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,relation_type(C,B))&((![E]: (~ilf_type(E,set_type)|(~member(E,C)|(?[F]: (ilf_type(F,set_type)&member(ordered_pair(E,F),D))))))<~>domain(C,B,D)=C)))))))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f36])).
% 0.12/0.52 fof(f159,plain,(
% 0.12/0.52 ?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,relation_type(C,B))&(((![E]: (~ilf_type(E,set_type)|(~member(E,C)|(?[F]: (ilf_type(F,set_type)&member(ordered_pair(E,F),D))))))|domain(C,B,D)=C)&((?[E]: (ilf_type(E,set_type)&(member(E,C)&(![F]: (~ilf_type(F,set_type)|~member(ordered_pair(E,F),D))))))|~domain(C,B,D)=C)))))))),
% 0.12/0.52 inference(NNF_transformation,[status(thm)],[f158])).
% 0.12/0.52 fof(f160,plain,(
% 0.12/0.52 (ilf_type(sK13_skl,set_type)&(ilf_type(sK14_skl,set_type)&(ilf_type(sK15_skl,relation_type(sK14_skl,sK13_skl))&(((![E]: (~ilf_type(E,set_type)|(~member(E,sK14_skl)|(ilf_type(sK16_skl(E),set_type)&member(ordered_pair(E,sK16_skl(E)),sK15_skl)))))|domain(sK14_skl,sK13_skl,sK15_skl)=sK14_skl)&((ilf_type(sK17_skl,set_type)&(member(sK17_skl,sK14_skl)&(![F]: (~ilf_type(F,set_type)|~member(ordered_pair(sK17_skl,F),sK15_skl)))))|~domain(sK14_skl,sK13_skl,sK15_skl)=sK14_skl)))))),
% 0.12/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl,sK15_skl,sK16_skl,sK17_skl]),skolemize(B,sK13_skl),skolemize(C,sK14_skl),skolemize(D,sK15_skl),skolemize(F,sK16_skl(E)),skolemize(E,sK17_skl)],[f159])).
% 0.12/0.52 fof(f163,plain,(
% 0.12/0.52 ilf_type(sK15_skl,relation_type(sK14_skl,sK13_skl))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f160])).
% 0.12/0.52 fof(f165,plain,(
% 0.12/0.52 ![X0]: (~ilf_type(X0,set_type)|~member(X0,sK14_skl)|member(ordered_pair(X0,sK16_skl(X0)),sK15_skl)|domain(sK14_skl,sK13_skl,sK15_skl)=sK14_skl)),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f160])).
% 0.12/0.52 fof(f167,plain,(
% 0.12/0.52 member(sK17_skl,sK14_skl)|~domain(sK14_skl,sK13_skl,sK15_skl)=sK14_skl),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f160])).
% 0.12/0.52 fof(f168,plain,(
% 0.12/0.52 ![X0]: (~ilf_type(X0,set_type)|~member(ordered_pair(sK17_skl,X0),sK15_skl)|~domain(sK14_skl,sK13_skl,sK15_skl)=sK14_skl)),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f160])).
% 0.12/0.52 fof(f173,plain,(
% 0.12/0.52 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.12/0.52 inference(duplicate_literals_removal,[status(thm)],[f86])).
% 0.12/0.52 fof(f177,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|ilf_type(domain(X0,X2,X1),subset_type(X0)))),
% 0.12/0.52 inference(backward_subsumption_resolution,[status(thm)],[f152,f157])).
% 0.12/0.52 fof(f178,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|domain(X0,X2,X1)=domain_of(X1))),
% 0.12/0.52 inference(backward_subsumption_resolution,[status(thm)],[f150,f157])).
% 0.12/0.52 fof(f182,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X0,X2)))|relation_like(X1))),
% 0.12/0.52 inference(backward_subsumption_resolution,[status(thm)],[f140,f157])).
% 0.12/0.52 fof(f187,plain,(
% 0.12/0.52 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 0.12/0.52 inference(backward_subsumption_resolution,[status(thm)],[f125,f157])).
% 0.12/0.52 fof(f188,plain,(
% 0.12/0.52 ![X0]: (~empty(power_set(X0)))),
% 0.12/0.52 inference(backward_subsumption_resolution,[status(thm)],[f121,f157])).
% 0.12/0.52 fof(f191,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 0.12/0.52 inference(backward_subsumption_resolution,[status(thm)],[f116,f157])).
% 0.12/0.52 fof(f192,plain,(
% 0.12/0.52 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X0,X1)|~member(sK6_skl(X1,X0),X1))),
% 0.12/0.52 inference(backward_subsumption_resolution,[status(thm)],[f110,f157])).
% 0.12/0.52 fof(f193,plain,(
% 0.12/0.52 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X0,X1)|member(sK6_skl(X1,X0),X0))),
% 0.12/0.52 inference(backward_subsumption_resolution,[status(thm)],[f109,f157])).
% 0.12/0.52 fof(f199,plain,(
% 0.12/0.52 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(X0))|ilf_type(X1,member_type(power_set(X0))))),
% 0.12/0.52 inference(backward_subsumption_resolution,[status(thm)],[f91,f157])).
% 0.12/0.52 fof(f200,plain,(
% 0.12/0.52 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.12/0.52 inference(backward_subsumption_resolution,[status(thm)],[f173,f157])).
% 0.12/0.52 fof(f203,plain,(
% 0.12/0.52 ![X0,X1]: (~ilf_type(X0,set_type)|X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.12/0.52 inference(backward_subsumption_resolution,[status(thm)],[f71,f157])).
% 0.12/0.52 fof(f206,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|ilf_type(X1,subset_type(cross_product(X0,X2))))),
% 0.12/0.52 inference(backward_subsumption_resolution,[status(thm)],[f63,f157])).
% 0.12/0.52 fof(f213,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~ilf_type(X0,binary_relation_type)|~ilf_type(X1,set_type)|member(X1,domain_of(X0))|~member(ordered_pair(X1,X2),X0))),
% 0.12/0.52 inference(backward_subsumption_resolution,[status(thm)],[f42,f157])).
% 0.12/0.52 fof(f214,plain,(
% 0.12/0.52 ![X0,X1]: (~ilf_type(X0,binary_relation_type)|~member(X1,domain_of(X0))|member(ordered_pair(X1,sK0_skl(X1,X0)),X0))),
% 0.12/0.52 inference(backward_subsumption_resolution,[status(thm)],[f41,f157])).
% 0.12/0.52 fof(f215,plain,(
% 0.12/0.52 ![X0]: (~member(X0,sK14_skl)|member(ordered_pair(X0,sK16_skl(X0)),sK15_skl)|domain(sK14_skl,sK13_skl,sK15_skl)=sK14_skl)),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f165,f157])).
% 0.12/0.52 fof(f216,plain,(
% 0.12/0.52 ![X0]: (~member(ordered_pair(sK17_skl,X0),sK15_skl)|~domain(sK14_skl,sK13_skl,sK15_skl)=sK14_skl)),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f168,f157])).
% 0.12/0.52 fof(f220,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(domain(X1,X2,X0),subset_type(X1)))),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f177,f157])).
% 0.12/0.52 fof(f221,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|domain(X1,X2,X0)=domain_of(X0))),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f178,f157])).
% 0.12/0.52 fof(f223,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~ilf_type(X0,subset_type(cross_product(X1,X2)))|relation_like(X0))),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f182,f157])).
% 0.12/0.52 fof(f226,plain,(
% 0.12/0.52 ![X0,X1]: (empty(X0)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f187,f157])).
% 0.12/0.52 fof(f229,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~member(X2,X1)|member(X2,X0))),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f191,f157])).
% 0.12/0.52 fof(f230,plain,(
% 0.12/0.52 ![X0,X1]: (subset(X0,X1)|~member(sK6_skl(X1,X0),X1))),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f192,f157])).
% 0.12/0.52 fof(f231,plain,(
% 0.12/0.52 ![X0,X1]: (subset(X0,X1)|member(sK6_skl(X1,X0),X0))),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f193,f157])).
% 0.12/0.52 fof(f236,plain,(
% 0.12/0.52 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f199,f157])).
% 0.12/0.52 fof(f238,plain,(
% 0.12/0.52 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f203,f157])).
% 0.12/0.52 fof(f240,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(X0,subset_type(cross_product(X1,X2))))),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f206,f157])).
% 0.12/0.52 fof(f249,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~ilf_type(X0,binary_relation_type)|member(X1,domain_of(X0))|~member(ordered_pair(X1,X2),X0))),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f213,f157])).
% 0.12/0.52 fof(f254,plain,(
% 0.12/0.52 domain(sK14_skl,sK13_skl,sK15_skl)=domain_of(sK15_skl)),
% 0.12/0.52 inference(resolution,[status(thm)],[f221,f163])).
% 0.12/0.52 fof(f255,plain,(
% 0.12/0.52 ![X0]: (~member(ordered_pair(sK17_skl,X0),sK15_skl)|~domain_of(sK15_skl)=sK14_skl)),
% 0.12/0.52 inference(backward_demodulation,[status(thm)],[f254,f216])).
% 0.12/0.52 fof(f256,plain,(
% 0.12/0.52 member(sK17_skl,sK14_skl)|~domain_of(sK15_skl)=sK14_skl),
% 0.12/0.52 inference(backward_demodulation,[status(thm)],[f254,f167])).
% 0.12/0.52 fof(f257,plain,(
% 0.12/0.52 ![X0]: (~member(X0,sK14_skl)|member(ordered_pair(X0,sK16_skl(X0)),sK15_skl)|domain_of(sK15_skl)=sK14_skl)),
% 0.12/0.52 inference(backward_demodulation,[status(thm)],[f254,f215])).
% 0.12/0.52 fof(f263,plain,(
% 0.12/0.52 ~ilf_type(sK15_skl,relation_type(sK14_skl,sK13_skl))|ilf_type(domain_of(sK15_skl),subset_type(sK14_skl))),
% 0.12/0.52 inference(paramodulation,[status(thm)],[f254,f220])).
% 0.12/0.52 fof(f264,plain,(
% 0.12/0.52 ilf_type(domain_of(sK15_skl),subset_type(sK14_skl))),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f263,f163])).
% 0.12/0.52 fof(f282,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 0.12/0.52 inference(resolution,[status(thm)],[f229,f157])).
% 0.12/0.52 fof(f300,plain,(
% 0.12/0.53 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|empty(power_set(X1))|member(X0,power_set(X1)))),
% 0.12/0.53 inference(resolution,[status(thm)],[f236,f226])).
% 0.12/0.53 fof(f301,plain,(
% 0.12/0.53 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|member(X0,power_set(X1)))),
% 0.12/0.53 inference(forward_subsumption_resolution,[status(thm)],[f300,f188])).
% 0.12/0.53 fof(f302,plain,(
% 0.12/0.53 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|relation_like(X0))),
% 0.12/0.53 inference(resolution,[status(thm)],[f240,f223])).
% 0.12/0.53 fof(f304,plain,(
% 0.12/0.53 relation_like(sK15_skl)),
% 0.12/0.53 inference(resolution,[status(thm)],[f302,f163])).
% 0.12/0.53 fof(f306,plain,(
% 0.12/0.53 ilf_type(sK15_skl,binary_relation_type)),
% 0.12/0.53 inference(resolution,[status(thm)],[f304,f200])).
% 0.12/0.53 fof(f369,plain,(
% 0.12/0.53 ![X0]: (~ilf_type(sK15_skl,binary_relation_type)|member(X0,domain_of(sK15_skl))|~member(X0,sK14_skl)|domain_of(sK15_skl)=sK14_skl)),
% 0.12/0.53 inference(resolution,[status(thm)],[f249,f257])).
% 0.12/0.53 fof(f371,plain,(
% 0.12/0.53 ![X0]: (member(X0,domain_of(sK15_skl))|~member(X0,sK14_skl)|domain_of(sK15_skl)=sK14_skl)),
% 0.12/0.53 inference(forward_subsumption_resolution,[status(thm)],[f369,f306])).
% 0.12/0.53 fof(f376,plain,(
% 0.12/0.53 ![X0]: (~member(X0,domain_of(sK15_skl))|member(ordered_pair(X0,sK0_skl(X0,sK15_skl)),sK15_skl))),
% 0.12/0.53 inference(resolution,[status(thm)],[f214,f306])).
% 0.12/0.53 fof(f379,plain,(
% 0.12/0.53 ![X0]: (~member(sK6_skl(domain_of(sK15_skl),X0),sK14_skl)|domain_of(sK15_skl)=sK14_skl|subset(X0,domain_of(sK15_skl)))),
% 0.12/0.53 inference(resolution,[status(thm)],[f371,f230])).
% 0.12/0.53 fof(f413,plain,(
% 0.12/0.53 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(sK6_skl(X1,X2),X0)|subset(X2,X1))),
% 0.12/0.53 inference(resolution,[status(thm)],[f282,f230])).
% 0.12/0.53 fof(f420,plain,(
% 0.12/0.53 ~member(sK17_skl,domain_of(sK15_skl))|~domain_of(sK15_skl)=sK14_skl),
% 0.12/0.53 inference(resolution,[status(thm)],[f376,f255])).
% 0.12/0.53 fof(f524,plain,(
% 0.12/0.53 domain_of(sK15_skl)=sK14_skl|subset(sK14_skl,domain_of(sK15_skl))|subset(sK14_skl,domain_of(sK15_skl))),
% 0.12/0.53 inference(resolution,[status(thm)],[f379,f231])).
% 0.12/0.53 fof(f526,plain,(
% 0.12/0.53 domain_of(sK15_skl)=sK14_skl|subset(sK14_skl,domain_of(sK15_skl))),
% 0.12/0.53 inference(duplicate_literals_removal,[status(thm)],[f524])).
% 0.12/0.53 fof(f563,plain,(
% 0.12/0.53 domain_of(sK15_skl)=sK14_skl|domain_of(sK15_skl)=sK14_skl|~subset(domain_of(sK15_skl),sK14_skl)),
% 0.12/0.53 inference(resolution,[status(thm)],[f526,f238])).
% 0.12/0.53 fof(f564,plain,(
% 0.12/0.53 domain_of(sK15_skl)=sK14_skl|~subset(domain_of(sK15_skl),sK14_skl)),
% 0.12/0.53 inference(duplicate_literals_removal,[status(thm)],[f563])).
% 0.12/0.53 fof(f745,plain,(
% 0.12/0.53 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1)|subset(X0,X1))),
% 0.12/0.53 inference(resolution,[status(thm)],[f413,f231])).
% 0.12/0.53 fof(f750,plain,(
% 0.12/0.53 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1))),
% 0.12/0.53 inference(duplicate_literals_removal,[status(thm)],[f745])).
% 0.12/0.53 fof(f769,plain,(
% 0.12/0.53 ![X0,X1]: (subset(X0,X1)|~ilf_type(X0,subset_type(X1)))),
% 0.12/0.53 inference(resolution,[status(thm)],[f750,f301])).
% 0.12/0.53 fof(f811,plain,(
% 0.12/0.53 subset(domain_of(sK15_skl),sK14_skl)),
% 0.12/0.53 inference(resolution,[status(thm)],[f769,f264])).
% 0.12/0.53 fof(f820,plain,(
% 0.12/0.53 domain_of(sK15_skl)=sK14_skl),
% 0.12/0.53 inference(backward_subsumption_resolution,[status(thm)],[f564,f811])).
% 0.12/0.53 fof(f834,plain,(
% 0.12/0.53 ~member(sK17_skl,domain_of(sK15_skl))|~sK14_skl=sK14_skl),
% 0.12/0.53 inference(backward_demodulation,[status(thm)],[f820,f420])).
% 0.12/0.53 fof(f840,plain,(
% 0.12/0.53 member(sK17_skl,sK14_skl)|~sK14_skl=sK14_skl),
% 0.12/0.53 inference(backward_demodulation,[status(thm)],[f820,f256])).
% 0.12/0.53 fof(f868,plain,(
% 0.12/0.53 ~member(sK17_skl,sK14_skl)|~sK14_skl=sK14_skl),
% 0.12/0.53 inference(forward_demodulation,[status(thm)],[f820,f834])).
% 0.12/0.53 fof(f869,plain,(
% 0.12/0.53 ~member(sK17_skl,sK14_skl)),
% 0.12/0.53 inference(trivial_equality_resolution,[status(thm)],[f868])).
% 0.12/0.53 fof(f871,plain,(
% 0.12/0.53 member(sK17_skl,sK14_skl)),
% 0.12/0.53 inference(trivial_equality_resolution,[status(thm)],[f840])).
% 0.12/0.53 fof(f872,plain,(
% 0.12/0.53 $false),
% 0.12/0.53 inference(forward_subsumption_resolution,[status(thm)],[f871,f869])).
% 0.12/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.53 % Elapsed time: 0.179192 seconds
% 0.12/0.53 % CPU time: 1.159288 seconds
% 0.12/0.53 % Total memory used: 110.578 MB
% 0.12/0.53 % Net memory used: 108.704 MB
%------------------------------------------------------------------------------