%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET650+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 : n003.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 02:12:24 PM UTC 2026
% Result : Theorem 0.08s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET650+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n003.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 05:33:00 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.46 % Refutation found
% 0.08/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.46 fof(f1,axiom,(
% 0.08/0.46 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,binary_relation_type)=> ( member(B,domain_of(C))<=> (? [D] :( ilf_type(D,set_type)& member(ordered_pair(B,D),C) ) )) ) )) )),
% 0.08/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.46 fof(f2,axiom,(
% 0.08/0.46 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,binary_relation_type)=> ( member(B,range_of(C))<=> (? [D] :( ilf_type(D,set_type)& member(ordered_pair(D,B),C) ) )) ) )) )),
% 0.08/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.46 fof(f3,axiom,(
% 0.08/0.46 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,set_type)=> (! [F] :( ilf_type(F,relation_type(B,C))=> ( member(ordered_pair(D,E),F)=> ( member(D,B)& member(E,C) ) ) ) )) )) )) )) )),
% 0.08/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.46 fof(f8,axiom,(
% 0.08/0.46 (! [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))) ) )) ) )) )),
% 0.08/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.46 fof(f10,axiom,(
% 0.08/0.46 (! [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) ) ) )) ) )) )),
% 0.08/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.46 fof(f13,axiom,(
% 0.08/0.46 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 0.08/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.46 fof(f18,axiom,(
% 0.08/0.46 (! [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) ) ) )) ) )) )),
% 0.08/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.46 fof(f23,axiom,(
% 0.08/0.46 (! [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) ) )) )) )),
% 0.08/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.46 fof(f26,axiom,(
% 0.08/0.46 (! [B] : ilf_type(B,set_type) )),
% 0.08/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.46 fof(f27,conjecture,(
% 0.08/0.46 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> ( subset(domain_of(D),B)& subset(range_of(D),C) ) ) )) )) )),
% 0.08/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.46 fof(f28,negated_conjecture,(
% 0.08/0.46 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> ( subset(domain_of(D),B)& subset(range_of(D),C) ) ) )) )) ))),
% 0.08/0.46 inference(negated_conjecture,[status(cth)],[f27])).
% 0.08/0.46 fof(f29,plain,(
% 0.08/0.46 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,binary_relation_type)|(member(B,domain_of(C))<=>(?[D]: (ilf_type(D,set_type)&member(ordered_pair(B,D),C)))))))),
% 0.08/0.46 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.08/0.46 fof(f30,plain,(
% 0.08/0.46 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,binary_relation_type)|((~member(B,domain_of(C))|(?[D]: (ilf_type(D,set_type)&member(ordered_pair(B,D),C))))&(member(B,domain_of(C))|(![D]: (~ilf_type(D,set_type)|~member(ordered_pair(B,D),C))))))))),
% 0.08/0.46 inference(NNF_transformation,[status(thm)],[f29])).
% 0.08/0.46 fof(f31,plain,(
% 0.08/0.46 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,binary_relation_type)|((~member(B,domain_of(C))|(ilf_type(sK0_skl(C,B),set_type)&member(ordered_pair(B,sK0_skl(C,B)),C)))&(member(B,domain_of(C))|(![D]: (~ilf_type(D,set_type)|~member(ordered_pair(B,D),C))))))))),
% 0.08/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f30])).
% 0.08/0.46 fof(f33,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~member(X0,domain_of(X1))|member(ordered_pair(X0,sK0_skl(X1,X0)),X1))),
% 0.08/0.46 inference(cnf_transformation,[status(thm)],[f31])).
% 0.08/0.46 fof(f35,plain,(
% 0.08/0.46 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,binary_relation_type)|(member(B,range_of(C))<=>(?[D]: (ilf_type(D,set_type)&member(ordered_pair(D,B),C)))))))),
% 0.08/0.46 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.46 fof(f36,plain,(
% 0.08/0.46 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,binary_relation_type)|((~member(B,range_of(C))|(?[D]: (ilf_type(D,set_type)&member(ordered_pair(D,B),C))))&(member(B,range_of(C))|(![D]: (~ilf_type(D,set_type)|~member(ordered_pair(D,B),C))))))))),
% 0.08/0.46 inference(NNF_transformation,[status(thm)],[f35])).
% 0.08/0.46 fof(f37,plain,(
% 0.08/0.46 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,binary_relation_type)|((~member(B,range_of(C))|(ilf_type(sK1_skl(C,B),set_type)&member(ordered_pair(sK1_skl(C,B),B),C)))&(member(B,range_of(C))|(![D]: (~ilf_type(D,set_type)|~member(ordered_pair(D,B),C))))))))),
% 0.08/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B))],[f36])).
% 0.08/0.46 fof(f39,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~member(X0,range_of(X1))|member(ordered_pair(sK1_skl(X1,X0),X0),X1))),
% 0.08/0.46 inference(cnf_transformation,[status(thm)],[f37])).
% 0.08/0.46 fof(f41,plain,(
% 0.08/0.46 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|(![F]: (~ilf_type(F,relation_type(B,C))|(~member(ordered_pair(D,E),F)|(member(D,B)&member(E,C))))))))))))),
% 0.08/0.46 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.08/0.46 fof(f42,plain,(
% 0.08/0.46 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,relation_type(X0,X1))|~member(ordered_pair(X2,X3),X4)|member(X2,X0))),
% 0.08/0.46 inference(cnf_transformation,[status(thm)],[f41])).
% 0.08/0.46 fof(f43,plain,(
% 0.08/0.46 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,relation_type(X0,X1))|~member(ordered_pair(X2,X3),X4)|member(X3,X1))),
% 0.08/0.46 inference(cnf_transformation,[status(thm)],[f41])).
% 0.08/0.46 fof(f60,plain,(
% 0.08/0.46 ![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)))))))))),
% 0.08/0.46 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.08/0.46 fof(f62,plain,(
% 0.08/0.46 ![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))))),
% 0.08/0.46 inference(cnf_transformation,[status(thm)],[f60])).
% 0.08/0.46 fof(f66,plain,(
% 0.08/0.46 ![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))))))))),
% 0.08/0.46 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.08/0.46 fof(f67,plain,(
% 0.08/0.46 ![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)))))))))),
% 0.08/0.46 inference(NNF_transformation,[status(thm)],[f66])).
% 0.08/0.46 fof(f68,plain,(
% 0.08/0.46 ![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(sK5_skl(C,B),set_type)&(member(sK5_skl(C,B),B)&~member(sK5_skl(C,B),C))))))))),
% 0.08/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(D,sK5_skl(C,B))],[f67])).
% 0.08/0.46 fof(f71,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|member(sK5_skl(X1,X0),X0))),
% 0.08/0.46 inference(cnf_transformation,[status(thm)],[f68])).
% 0.08/0.46 fof(f72,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|~member(sK5_skl(X1,X0),X1))),
% 0.08/0.46 inference(cnf_transformation,[status(thm)],[f68])).
% 0.08/0.46 fof(f77,plain,(
% 0.08/0.46 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 0.08/0.46 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.08/0.46 fof(f78,plain,(
% 0.08/0.46 ![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)))))),
% 0.08/0.46 inference(NNF_transformation,[status(thm)],[f77])).
% 0.08/0.46 fof(f81,plain,(
% 0.08/0.46 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 0.08/0.46 inference(cnf_transformation,[status(thm)],[f78])).
% 0.08/0.46 fof(f93,plain,(
% 0.08/0.46 ![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))))))))),
% 0.08/0.46 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.08/0.46 fof(f94,plain,(
% 0.08/0.46 ![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)))))))))),
% 0.08/0.46 inference(NNF_transformation,[status(thm)],[f93])).
% 0.08/0.46 fof(f95,plain,(
% 0.08/0.46 ![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(sK8_skl(C,B),set_type)&(member(sK8_skl(C,B),B)&~member(sK8_skl(C,B),C))))))))),
% 0.08/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(D,sK8_skl(C,B))],[f94])).
% 0.08/0.46 fof(f96,plain,(
% 0.08/0.46 ![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))),
% 0.08/0.46 inference(cnf_transformation,[status(thm)],[f95])).
% 0.08/0.46 fof(f98,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|member(sK8_skl(X1,X0),X0))),
% 0.08/0.46 inference(cnf_transformation,[status(thm)],[f95])).
% 0.08/0.46 fof(f99,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|~member(sK8_skl(X1,X0),X1))),
% 0.08/0.46 inference(cnf_transformation,[status(thm)],[f95])).
% 0.08/0.46 fof(f119,plain,(
% 0.08/0.46 ![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))))))),
% 0.08/0.46 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.08/0.46 fof(f120,plain,(
% 0.08/0.46 ![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))),
% 0.08/0.46 inference(cnf_transformation,[status(thm)],[f119])).
% 0.08/0.46 fof(f129,plain,(
% 0.08/0.46 ![X0]: (ilf_type(X0,set_type))),
% 0.08/0.46 inference(cnf_transformation,[status(thm)],[f26])).
% 0.08/0.46 fof(f130,plain,(
% 0.08/0.46 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,relation_type(B,C))&(~subset(domain_of(D),B)|~subset(range_of(D),C))))))))),
% 0.08/0.46 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.08/0.46 fof(f131,plain,(
% 0.08/0.46 (ilf_type(sK14_skl,set_type)&(ilf_type(sK15_skl,set_type)&(ilf_type(sK16_skl,relation_type(sK14_skl,sK15_skl))&(~subset(domain_of(sK16_skl),sK14_skl)|~subset(range_of(sK16_skl),sK15_skl)))))),
% 0.08/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl,sK16_skl]),skolemize(B,sK14_skl),skolemize(C,sK15_skl),skolemize(D,sK16_skl)],[f130])).
% 0.08/0.46 fof(f134,plain,(
% 0.08/0.46 ilf_type(sK16_skl,relation_type(sK14_skl,sK15_skl))),
% 0.08/0.46 inference(cnf_transformation,[status(thm)],[f131])).
% 0.08/0.46 fof(f135,plain,(
% 0.08/0.46 ~subset(domain_of(sK16_skl),sK14_skl)|~subset(range_of(sK16_skl),sK15_skl)),
% 0.08/0.46 inference(cnf_transformation,[status(thm)],[f131])).
% 0.08/0.46 fof(f136,plain,(
% 0.08/0.46 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.08/0.46 inference(duplicate_literals_removal,[status(thm)],[f81])).
% 0.08/0.46 fof(f143,plain,(
% 0.08/0.46 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X4,X0))|~member(ordered_pair(X1,X2),X3)|member(X1,X4))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f42,f129])).
% 0.08/0.46 fof(f144,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(sK15_skl,set_type)|~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X0,X1),sK16_skl)|member(X0,sK14_skl))),
% 0.08/0.46 inference(resolution,[status(thm)],[f143,f134])).
% 0.08/0.46 fof(f145,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X0,X1),sK16_skl)|member(X0,sK14_skl))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f144,f129])).
% 0.08/0.46 fof(f146,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(X0,set_type)|~member(ordered_pair(X1,X0),sK16_skl)|member(X1,sK14_skl))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f145,f129])).
% 0.08/0.46 fof(f147,plain,(
% 0.08/0.46 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X4,X0))|~member(ordered_pair(X1,X2),X3)|member(X2,X0))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f43,f129])).
% 0.08/0.46 fof(f148,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(sK15_skl,set_type)|~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X0,X1),sK16_skl)|member(X1,sK15_skl))),
% 0.08/0.46 inference(resolution,[status(thm)],[f147,f134])).
% 0.08/0.46 fof(f149,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X0,X1),sK16_skl)|member(X1,sK15_skl))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f148,f129])).
% 0.08/0.46 fof(f150,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(X0,set_type)|~member(ordered_pair(X1,X0),sK16_skl)|member(X0,sK15_skl))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f149,f129])).
% 0.08/0.46 fof(f155,plain,(
% 0.08/0.46 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f136,f129])).
% 0.08/0.46 fof(f165,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(X0,binary_relation_type)|~member(X1,domain_of(X0))|member(ordered_pair(X1,sK0_skl(X0,X1)),X0))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f33,f129])).
% 0.08/0.46 fof(f194,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(X0,binary_relation_type)|~member(X1,range_of(X0))|member(ordered_pair(sK1_skl(X0,X1),X1),X0))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f39,f129])).
% 0.08/0.46 fof(f208,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X1,X0)|member(sK5_skl(X0,X1),X1))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f71,f129])).
% 0.08/0.46 fof(f209,plain,(
% 0.08/0.46 ![X0,X1]: (subset(X0,X1)|member(sK5_skl(X1,X0),X0))),
% 0.08/0.46 inference(resolution,[status(thm)],[f208,f129])).
% 0.08/0.46 fof(f215,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X1,X0)|~member(sK5_skl(X0,X1),X0))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f72,f129])).
% 0.08/0.46 fof(f218,plain,(
% 0.08/0.46 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|relation_like(X1))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f120,f129])).
% 0.08/0.46 fof(f226,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(X0,set_type)|member(X1,power_set(X0))|member(sK8_skl(X0,X1),X1))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f98,f129])).
% 0.08/0.46 fof(f227,plain,(
% 0.08/0.46 ![X0,X1]: (member(X0,power_set(X1))|member(sK8_skl(X1,X0),X0))),
% 0.08/0.46 inference(resolution,[status(thm)],[f226,f129])).
% 0.08/0.46 fof(f228,plain,(
% 0.08/0.46 ![X0,X1]: (member(range_of(X0),power_set(X1))|~ilf_type(X0,binary_relation_type)|member(ordered_pair(sK1_skl(X0,sK8_skl(X1,range_of(X0))),sK8_skl(X1,range_of(X0))),X0))),
% 0.08/0.46 inference(resolution,[status(thm)],[f227,f194])).
% 0.08/0.46 fof(f229,plain,(
% 0.08/0.46 ![X0,X1]: (member(domain_of(X0),power_set(X1))|~ilf_type(X0,binary_relation_type)|member(ordered_pair(sK8_skl(X1,domain_of(X0)),sK0_skl(X0,sK8_skl(X1,domain_of(X0)))),X0))),
% 0.08/0.46 inference(resolution,[status(thm)],[f227,f165])).
% 0.08/0.46 fof(f276,plain,(
% 0.08/0.46 ![X0,X1]: (~ilf_type(X0,set_type)|member(X1,power_set(X0))|~member(sK8_skl(X0,X1),X0))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f99,f129])).
% 0.08/0.46 fof(f333,plain,(
% 0.08/0.46 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(X1,subset_type(cross_product(X2,X0))))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f62,f129])).
% 0.08/0.46 fof(f335,plain,(
% 0.08/0.46 ~ilf_type(sK15_skl,set_type)|ilf_type(sK16_skl,subset_type(cross_product(sK14_skl,sK15_skl)))),
% 0.08/0.46 inference(resolution,[status(thm)],[f333,f134])).
% 0.08/0.46 fof(f337,plain,(
% 0.08/0.46 ilf_type(sK16_skl,subset_type(cross_product(sK14_skl,sK15_skl)))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f335,f129])).
% 0.08/0.46 fof(f339,plain,(
% 0.08/0.46 ~ilf_type(sK15_skl,set_type)|relation_like(sK16_skl)),
% 0.08/0.46 inference(resolution,[status(thm)],[f337,f218])).
% 0.08/0.46 fof(f340,plain,(
% 0.08/0.46 relation_like(sK16_skl)),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f339,f129])).
% 0.08/0.46 fof(f341,plain,(
% 0.08/0.46 ilf_type(sK16_skl,binary_relation_type)),
% 0.08/0.46 inference(resolution,[status(thm)],[f340,f155])).
% 0.08/0.46 fof(f342,plain,(
% 0.08/0.46 ![X0]: (member(domain_of(sK16_skl),power_set(X0))|member(ordered_pair(sK8_skl(X0,domain_of(sK16_skl)),sK0_skl(sK16_skl,sK8_skl(X0,domain_of(sK16_skl)))),sK16_skl))),
% 0.08/0.46 inference(resolution,[status(thm)],[f341,f229])).
% 0.08/0.46 fof(f343,plain,(
% 0.08/0.46 ![X0]: (member(range_of(sK16_skl),power_set(X0))|member(ordered_pair(sK1_skl(sK16_skl,sK8_skl(X0,range_of(sK16_skl))),sK8_skl(X0,range_of(sK16_skl))),sK16_skl))),
% 0.08/0.46 inference(resolution,[status(thm)],[f341,f228])).
% 0.08/0.46 fof(f365,plain,(
% 0.08/0.46 ![X0]: (member(domain_of(sK16_skl),power_set(X0))|~ilf_type(sK0_skl(sK16_skl,sK8_skl(X0,domain_of(sK16_skl))),set_type)|member(sK8_skl(X0,domain_of(sK16_skl)),sK14_skl))),
% 0.08/0.46 inference(resolution,[status(thm)],[f342,f146])).
% 0.08/0.46 fof(f372,plain,(
% 0.08/0.46 ![X0]: (member(domain_of(sK16_skl),power_set(X0))|member(sK8_skl(X0,domain_of(sK16_skl)),sK14_skl))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f365,f129])).
% 0.08/0.46 fof(f410,plain,(
% 0.08/0.46 member(domain_of(sK16_skl),power_set(sK14_skl))|~ilf_type(sK14_skl,set_type)|member(domain_of(sK16_skl),power_set(sK14_skl))),
% 0.08/0.46 inference(resolution,[status(thm)],[f372,f276])).
% 0.08/0.46 fof(f414,plain,(
% 0.08/0.46 member(domain_of(sK16_skl),power_set(sK14_skl))|~ilf_type(sK14_skl,set_type)),
% 0.08/0.46 inference(duplicate_literals_removal,[status(thm)],[f410])).
% 0.08/0.46 fof(f415,plain,(
% 0.08/0.46 member(domain_of(sK16_skl),power_set(sK14_skl))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f414,f129])).
% 0.08/0.46 fof(f464,plain,(
% 0.08/0.46 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f96,f129])).
% 0.08/0.46 fof(f467,plain,(
% 0.08/0.46 ![X0]: (~ilf_type(sK14_skl,set_type)|~ilf_type(X0,set_type)|~member(X0,domain_of(sK16_skl))|member(X0,sK14_skl))),
% 0.08/0.46 inference(resolution,[status(thm)],[f464,f415])).
% 0.08/0.46 fof(f476,plain,(
% 0.08/0.46 ![X0]: (~ilf_type(X0,set_type)|~member(X0,domain_of(sK16_skl))|member(X0,sK14_skl))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f467,f129])).
% 0.08/0.46 fof(f483,plain,(
% 0.08/0.46 ![X0]: (~member(X0,domain_of(sK16_skl))|member(X0,sK14_skl))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f476,f129])).
% 0.08/0.46 fof(f486,plain,(
% 0.08/0.46 ![X0]: (member(sK5_skl(X0,domain_of(sK16_skl)),sK14_skl)|subset(domain_of(sK16_skl),X0))),
% 0.08/0.46 inference(resolution,[status(thm)],[f483,f209])).
% 0.08/0.46 fof(f675,plain,(
% 0.08/0.46 subset(domain_of(sK16_skl),sK14_skl)|~ilf_type(sK14_skl,set_type)|subset(domain_of(sK16_skl),sK14_skl)),
% 0.08/0.46 inference(resolution,[status(thm)],[f486,f215])).
% 0.08/0.46 fof(f679,plain,(
% 0.08/0.46 subset(domain_of(sK16_skl),sK14_skl)|~ilf_type(sK14_skl,set_type)),
% 0.08/0.46 inference(duplicate_literals_removal,[status(thm)],[f675])).
% 0.08/0.46 fof(f680,plain,(
% 0.08/0.46 subset(domain_of(sK16_skl),sK14_skl)),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f679,f129])).
% 0.08/0.46 fof(f681,plain,(
% 0.08/0.46 ~subset(range_of(sK16_skl),sK15_skl)),
% 0.08/0.46 inference(backward_subsumption_resolution,[status(thm)],[f135,f680])).
% 0.08/0.46 fof(f687,plain,(
% 0.08/0.46 ![X0]: (member(range_of(sK16_skl),power_set(X0))|~ilf_type(sK8_skl(X0,range_of(sK16_skl)),set_type)|member(sK8_skl(X0,range_of(sK16_skl)),sK15_skl))),
% 0.08/0.46 inference(resolution,[status(thm)],[f343,f150])).
% 0.08/0.46 fof(f694,plain,(
% 0.08/0.46 ![X0]: (member(range_of(sK16_skl),power_set(X0))|member(sK8_skl(X0,range_of(sK16_skl)),sK15_skl))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f687,f129])).
% 0.08/0.46 fof(f1145,plain,(
% 0.08/0.46 member(range_of(sK16_skl),power_set(sK15_skl))|~ilf_type(sK15_skl,set_type)|member(range_of(sK16_skl),power_set(sK15_skl))),
% 0.08/0.46 inference(resolution,[status(thm)],[f694,f276])).
% 0.08/0.46 fof(f1150,plain,(
% 0.08/0.46 member(range_of(sK16_skl),power_set(sK15_skl))|~ilf_type(sK15_skl,set_type)),
% 0.08/0.46 inference(duplicate_literals_removal,[status(thm)],[f1145])).
% 0.08/0.46 fof(f1151,plain,(
% 0.08/0.46 member(range_of(sK16_skl),power_set(sK15_skl))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1150,f129])).
% 0.08/0.46 fof(f1152,plain,(
% 0.08/0.46 ![X0]: (~ilf_type(sK15_skl,set_type)|~ilf_type(X0,set_type)|~member(X0,range_of(sK16_skl))|member(X0,sK15_skl))),
% 0.08/0.46 inference(resolution,[status(thm)],[f1151,f464])).
% 0.08/0.46 fof(f1157,plain,(
% 0.08/0.46 ![X0]: (~ilf_type(X0,set_type)|~member(X0,range_of(sK16_skl))|member(X0,sK15_skl))),
% 0.08/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1152,f129])).
% 0.08/0.46 fof(f1165,plain,(
% 0.08/0.46 ![X0]: (~member(X0,range_of(sK16_skl))|member(X0,sK15_skl))),
% 0.08/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1157,f129])).
% 0.08/0.47 fof(f1175,plain,(
% 0.08/0.47 ![X0]: (member(sK5_skl(X0,range_of(sK16_skl)),sK15_skl)|subset(range_of(sK16_skl),X0))),
% 0.08/0.47 inference(resolution,[status(thm)],[f1165,f209])).
% 0.08/0.47 fof(f1196,plain,(
% 0.08/0.47 subset(range_of(sK16_skl),sK15_skl)|~ilf_type(sK15_skl,set_type)|subset(range_of(sK16_skl),sK15_skl)),
% 0.08/0.47 inference(resolution,[status(thm)],[f1175,f215])).
% 0.08/0.47 fof(f1201,plain,(
% 0.08/0.47 subset(range_of(sK16_skl),sK15_skl)|~ilf_type(sK15_skl,set_type)),
% 0.08/0.47 inference(duplicate_literals_removal,[status(thm)],[f1196])).
% 0.08/0.47 fof(f1202,plain,(
% 0.08/0.47 ~ilf_type(sK15_skl,set_type)),
% 0.08/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1201,f681])).
% 0.08/0.47 fof(f1203,plain,(
% 0.08/0.47 $false),
% 0.08/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1202,f129])).
% 0.08/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.48 % Elapsed time: 0.111092 seconds
% 0.08/0.48 % CPU time: 0.560125 seconds
% 0.08/0.48 % Total memory used: 94.452 MB
% 0.08/0.48 % Net memory used: 93.752 MB
%------------------------------------------------------------------------------