%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET649+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 : n008.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 0.09s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET649+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
% 0.09/0.36 % Computer : n008.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 05:32:08 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.53 % Refutation found
% 0.09/0.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.53 fof(f1,axiom,(
% 0.09/0.53 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> ( ( subset(B,C)& subset(C,D) )=> subset(B,D) ) ) )) )) )),
% 0.09/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f2,axiom,(
% 0.09/0.53 (! [B] :( ilf_type(B,binary_relation_type)=> subset(B,cross_product(domain_of(B),range_of(B))) ) )),
% 0.09/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f3,axiom,(
% 0.09/0.53 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,set_type)=> ( ( subset(B,C)& subset(D,E) )=> subset(cross_product(B,D),cross_product(C,E)) ) ) )) )) )) )),
% 0.09/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f4,axiom,(
% 0.09/0.53 (! [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))) ) )) ) )) )),
% 0.09/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f12,axiom,(
% 0.09/0.53 (! [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) ) ) )) ) )) )),
% 0.09/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f15,axiom,(
% 0.09/0.53 (! [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))) ) ) )) )),
% 0.09/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f17,axiom,(
% 0.09/0.53 (! [B] :( ilf_type(B,set_type)=> subset(B,B) ) )),
% 0.09/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f20,axiom,(
% 0.09/0.53 (! [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) ) ) )) ) )) )),
% 0.09/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f22,axiom,(
% 0.09/0.53 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 0.09/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f24,axiom,(
% 0.09/0.53 (! [B] :( ilf_type(B,set_type)=> ( empty(B)<=> (! [C] :( ilf_type(C,set_type)=> ~ member(C,B) ) )) ) )),
% 0.09/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f26,axiom,(
% 0.09/0.53 (! [B] : ilf_type(B,set_type) )),
% 0.09/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f27,conjecture,(
% 0.09/0.53 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,binary_relation_type)=> ( ( subset(domain_of(D),B)& subset(range_of(D),C) )=> ilf_type(D,relation_type(B,C)) ) ) )) )) )),
% 0.09/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.53 fof(f28,negated_conjecture,(
% 0.09/0.53 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,binary_relation_type)=> ( ( subset(domain_of(D),B)& subset(range_of(D),C) )=> ilf_type(D,relation_type(B,C)) ) ) )) )) ))),
% 0.09/0.53 inference(negated_conjecture,[status(cth)],[f27])).
% 0.09/0.53 fof(f29,plain,(
% 0.09/0.53 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|((~subset(B,C)|~subset(C,D))|subset(B,D)))))))),
% 0.09/0.53 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.09/0.53 fof(f30,plain,(
% 0.09/0.53 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~subset(X0,X1)|~subset(X1,X2)|subset(X0,X2))),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.53 fof(f31,plain,(
% 0.09/0.53 ![B]: (~ilf_type(B,binary_relation_type)|subset(B,cross_product(domain_of(B),range_of(B))))),
% 0.09/0.53 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.53 fof(f32,plain,(
% 0.09/0.53 ![X0]: (~ilf_type(X0,binary_relation_type)|subset(X0,cross_product(domain_of(X0),range_of(X0))))),
% 0.09/0.53 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.53 fof(f33,plain,(
% 0.09/0.53 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|((~subset(B,C)|~subset(D,E))|subset(cross_product(B,D),cross_product(C,E))))))))))),
% 0.09/0.54 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.09/0.54 fof(f34,plain,(
% 0.09/0.54 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~subset(X0,X1)|~subset(X2,X3)|subset(cross_product(X0,X2),cross_product(X1,X3)))),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f33])).
% 0.09/0.54 fof(f35,plain,(
% 0.09/0.54 ![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)))))))))),
% 0.09/0.54 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/0.54 fof(f36,plain,(
% 0.09/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,subset_type(cross_product(X0,X1)))|ilf_type(X2,relation_type(X0,X1)))),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f35])).
% 0.09/0.54 fof(f64,plain,(
% 0.09/0.54 ![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))))))))),
% 0.09/0.54 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.09/0.54 fof(f65,plain,(
% 0.09/0.54 ![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)))))))))),
% 0.09/0.54 inference(NNF_transformation,[status(thm)],[f64])).
% 0.09/0.54 fof(f66,plain,(
% 0.09/0.54 ![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(sK4_skl(C,B),set_type)&(member(sK4_skl(C,B),B)&~member(sK4_skl(C,B),C))))))))),
% 0.09/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(D,sK4_skl(C,B))],[f65])).
% 0.09/0.54 fof(f67,plain,(
% 0.09/0.54 ![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))),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f66])).
% 0.09/0.54 fof(f75,plain,(
% 0.09/0.54 ![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)))))))),
% 0.09/0.54 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.09/0.54 fof(f76,plain,(
% 0.09/0.54 ![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))))))))),
% 0.09/0.54 inference(NNF_transformation,[status(thm)],[f75])).
% 0.09/0.54 fof(f78,plain,(
% 0.09/0.54 ![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))))),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f76])).
% 0.09/0.54 fof(f82,plain,(
% 0.09/0.54 ![B]: (~ilf_type(B,set_type)|subset(B,B))),
% 0.09/0.54 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.09/0.54 fof(f83,plain,(
% 0.09/0.54 ![X0]: (~ilf_type(X0,set_type)|subset(X0,X0))),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f82])).
% 0.09/0.54 fof(f95,plain,(
% 0.09/0.54 ![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))))))))),
% 0.09/0.54 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.09/0.54 fof(f96,plain,(
% 0.09/0.54 ![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)))))))))),
% 0.09/0.54 inference(NNF_transformation,[status(thm)],[f95])).
% 0.09/0.54 fof(f97,plain,(
% 0.09/0.54 ![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(sK9_skl(C,B),set_type)&(member(sK9_skl(C,B),B)&~member(sK9_skl(C,B),C))))))))),
% 0.09/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(D,sK9_skl(C,B))],[f96])).
% 0.09/0.54 fof(f100,plain,(
% 0.09/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|member(sK9_skl(X1,X0),X0))),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f97])).
% 0.09/0.54 fof(f101,plain,(
% 0.09/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|~member(sK9_skl(X1,X0),X1))),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f97])).
% 0.09/0.54 fof(f105,plain,(
% 0.09/0.54 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 0.09/0.54 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.09/0.54 fof(f106,plain,(
% 0.09/0.54 ![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))))))),
% 0.09/0.54 inference(NNF_transformation,[status(thm)],[f105])).
% 0.09/0.54 fof(f108,plain,(
% 0.09/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f106])).
% 0.09/0.54 fof(f112,plain,(
% 0.09/0.54 ![B]: (~ilf_type(B,set_type)|(empty(B)<=>(![C]: (~ilf_type(C,set_type)|~member(C,B)))))),
% 0.09/0.54 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.09/0.54 fof(f113,plain,(
% 0.09/0.54 ![B]: (~ilf_type(B,set_type)|((~empty(B)|(![C]: (~ilf_type(C,set_type)|~member(C,B))))&(empty(B)|(?[C]: (ilf_type(C,set_type)&member(C,B))))))),
% 0.09/0.54 inference(NNF_transformation,[status(thm)],[f112])).
% 0.09/0.54 fof(f114,plain,(
% 0.09/0.54 ![B]: (~ilf_type(B,set_type)|((~empty(B)|(![C]: (~ilf_type(C,set_type)|~member(C,B))))&(empty(B)|(ilf_type(sK11_skl(B),set_type)&member(sK11_skl(B),B)))))),
% 0.09/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(C,sK11_skl(B))],[f113])).
% 0.09/0.54 fof(f115,plain,(
% 0.09/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f114])).
% 0.09/0.54 fof(f120,plain,(
% 0.09/0.54 ![X0]: (ilf_type(X0,set_type))),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.54 fof(f121,plain,(
% 0.09/0.54 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,binary_relation_type)&((subset(domain_of(D),B)&subset(range_of(D),C))&~ilf_type(D,relation_type(B,C)))))))))),
% 0.09/0.54 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.09/0.54 fof(f122,plain,(
% 0.09/0.54 (ilf_type(sK12_skl,set_type)&(ilf_type(sK13_skl,set_type)&(ilf_type(sK14_skl,binary_relation_type)&((subset(domain_of(sK14_skl),sK12_skl)&subset(range_of(sK14_skl),sK13_skl))&~ilf_type(sK14_skl,relation_type(sK12_skl,sK13_skl))))))),
% 0.09/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl,sK14_skl]),skolemize(B,sK12_skl),skolemize(C,sK13_skl),skolemize(D,sK14_skl)],[f121])).
% 0.09/0.54 fof(f125,plain,(
% 0.09/0.54 ilf_type(sK14_skl,binary_relation_type)),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f122])).
% 0.09/0.54 fof(f126,plain,(
% 0.09/0.54 subset(domain_of(sK14_skl),sK12_skl)),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f122])).
% 0.09/0.54 fof(f127,plain,(
% 0.09/0.54 subset(range_of(sK14_skl),sK13_skl)),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f122])).
% 0.09/0.54 fof(f128,plain,(
% 0.09/0.54 ~ilf_type(sK14_skl,relation_type(sK12_skl,sK13_skl))),
% 0.09/0.54 inference(cnf_transformation,[status(thm)],[f122])).
% 0.09/0.54 fof(f130,plain,(
% 0.09/0.54 ![X0]: (subset(X0,X0))),
% 0.09/0.54 inference(forward_subsumption_resolution,[status(thm)],[f83,f120])).
% 0.09/0.54 fof(f131,plain,(
% 0.09/0.54 subset(sK14_skl,cross_product(domain_of(sK14_skl),range_of(sK14_skl)))),
% 0.09/0.54 inference(resolution,[status(thm)],[f32,f125])).
% 0.09/0.54 fof(f132,plain,(
% 0.09/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|ilf_type(X1,relation_type(X2,X0)))),
% 0.09/0.54 inference(forward_subsumption_resolution,[status(thm)],[f36,f120])).
% 0.09/0.54 fof(f134,plain,(
% 0.09/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X2,X0)|~subset(X0,X1)|subset(X2,X1))),
% 0.09/0.54 inference(forward_subsumption_resolution,[status(thm)],[f30,f120])).
% 0.09/0.54 fof(f135,plain,(
% 0.09/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~subset(X1,X0)|~subset(X0,X2)|subset(X1,X2))),
% 0.09/0.54 inference(resolution,[status(thm)],[f134,f120])).
% 0.09/0.54 fof(f136,plain,(
% 0.09/0.54 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X1,X2)|subset(X0,X2))),
% 0.09/0.54 inference(forward_subsumption_resolution,[status(thm)],[f135,f120])).
% 0.09/0.54 fof(f161,plain,(
% 0.09/0.54 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~subset(X3,X0)|~subset(X1,X2)|subset(cross_product(X3,X1),cross_product(X0,X2)))),
% 0.09/0.54 inference(forward_subsumption_resolution,[status(thm)],[f34,f120])).
% 0.09/0.54 fof(f162,plain,(
% 0.09/0.54 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X2,X3)|~subset(X0,X1)|subset(cross_product(X2,X0),cross_product(X3,X1)))),
% 0.09/0.54 inference(resolution,[status(thm)],[f161,f120])).
% 0.09/0.54 fof(f163,plain,(
% 0.09/0.54 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~subset(X1,X2)|~subset(X3,X0)|subset(cross_product(X1,X3),cross_product(X2,X0)))),
% 0.09/0.54 inference(forward_subsumption_resolution,[status(thm)],[f162,f120])).
% 0.09/0.54 fof(f171,plain,(
% 0.09/0.54 ![X0,X1,X2,X3]: (~subset(X0,X1)|~subset(X2,X3)|subset(cross_product(X0,X2),cross_product(X1,X3)))),
% 0.09/0.54 inference(forward_subsumption_resolution,[status(thm)],[f163,f120])).
% 0.09/0.54 fof(f175,plain,(
% 0.09/0.54 ![X0,X1]: (~subset(X0,X1)|subset(cross_product(domain_of(sK14_skl),X0),cross_product(sK12_skl,X1)))),
% 0.09/0.54 inference(resolution,[status(thm)],[f171,f126])).
% 0.09/0.54 fof(f176,plain,(
% 0.09/0.54 ![X0,X1,X2]: (~subset(X0,X1)|subset(cross_product(X2,X0),cross_product(X2,X1)))),
% 0.09/0.54 inference(resolution,[status(thm)],[f171,f130])).
% 0.09/0.54 fof(f184,plain,(
% 0.09/0.54 ![X0]: (subset(cross_product(X0,range_of(sK14_skl)),cross_product(X0,sK13_skl)))),
% 0.09/0.54 inference(resolution,[status(thm)],[f176,f127])).
% 0.09/0.54 fof(f190,plain,(
% 0.09/0.54 ![X0,X1]: (~subset(X0,cross_product(X1,range_of(sK14_skl)))|subset(X0,cross_product(X1,sK13_skl)))),
% 0.09/0.54 inference(resolution,[status(thm)],[f184,f136])).
% 0.09/0.54 fof(f214,plain,(
% 0.09/0.54 ![X0]: (subset(cross_product(domain_of(sK14_skl),X0),cross_product(sK12_skl,X0)))),
% 0.09/0.54 inference(resolution,[status(thm)],[f175,f130])).
% 0.09/0.54 fof(f220,plain,(
% 0.09/0.54 ![X0,X1]: (~subset(X0,cross_product(domain_of(sK14_skl),X1))|subset(X0,cross_product(sK12_skl,X1)))),
% 0.09/0.54 inference(resolution,[status(thm)],[f214,f136])).
% 0.09/0.54 fof(f223,plain,(
% 0.09/0.54 subset(sK14_skl,cross_product(domain_of(sK14_skl),sK13_skl))),
% 0.09/0.54 inference(resolution,[status(thm)],[f190,f131])).
% 0.09/0.54 fof(f232,plain,(
% 0.09/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~subset(X1,X0)|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 0.09/0.54 inference(forward_subsumption_resolution,[status(thm)],[f67,f120])).
% 0.09/0.54 fof(f233,plain,(
% 0.09/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~subset(X1,X0)|~member(X2,X1)|member(X2,X0))),
% 0.09/0.54 inference(resolution,[status(thm)],[f232,f120])).
% 0.09/0.54 fof(f234,plain,(
% 0.09/0.54 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.09/0.54 inference(forward_subsumption_resolution,[status(thm)],[f233,f120])).
% 0.09/0.54 fof(f252,plain,(
% 0.09/0.54 ![X0,X1]: (~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 0.09/0.54 inference(forward_subsumption_resolution,[status(thm)],[f115,f120])).
% 0.09/0.54 fof(f253,plain,(
% 0.09/0.54 ![X0,X1]: (~empty(X0)|~member(X1,X0))),
% 0.09/0.54 inference(resolution,[status(thm)],[f252,f120])).
% 0.09/0.54 fof(f304,plain,(
% 0.09/0.54 subset(sK14_skl,cross_product(sK12_skl,sK13_skl))),
% 0.09/0.54 inference(resolution,[status(thm)],[f220,f223])).
% 0.09/0.54 fof(f307,plain,(
% 0.09/0.54 ![X0]: (~member(X0,sK14_skl)|member(X0,cross_product(sK12_skl,sK13_skl)))),
% 0.09/0.54 inference(resolution,[status(thm)],[f304,f234])).
% 0.09/0.54 fof(f545,plain,(
% 0.09/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|ilf_type(X0,subset_type(X1))|~ilf_type(X0,member_type(power_set(X1))))),
% 0.09/0.54 inference(forward_subsumption_resolution,[status(thm)],[f78,f120])).
% 0.09/0.54 fof(f948,plain,(
% 0.09/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|member(X1,power_set(X0))|member(sK9_skl(X0,X1),X1))),
% 0.09/0.54 inference(forward_subsumption_resolution,[status(thm)],[f100,f120])).
% 0.09/0.54 fof(f949,plain,(
% 0.09/0.54 ![X0,X1]: (member(X0,power_set(X1))|member(sK9_skl(X1,X0),X0))),
% 0.09/0.54 inference(resolution,[status(thm)],[f948,f120])).
% 0.09/0.54 fof(f1011,plain,(
% 0.09/0.54 ![X0]: (member(sK14_skl,power_set(X0))|member(sK9_skl(X0,sK14_skl),cross_product(sK12_skl,sK13_skl)))),
% 0.09/0.54 inference(resolution,[status(thm)],[f949,f307])).
% 0.09/0.54 fof(f1277,plain,(
% 0.09/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|member(X1,power_set(X0))|~member(sK9_skl(X0,X1),X0))),
% 0.09/0.54 inference(forward_subsumption_resolution,[status(thm)],[f101,f120])).
% 0.09/0.54 fof(f1280,plain,(
% 0.09/0.54 ~ilf_type(cross_product(sK12_skl,sK13_skl),set_type)|member(sK14_skl,power_set(cross_product(sK12_skl,sK13_skl)))|member(sK14_skl,power_set(cross_product(sK12_skl,sK13_skl)))),
% 0.09/0.54 inference(resolution,[status(thm)],[f1277,f1011])).
% 0.09/0.54 fof(f1286,plain,(
% 0.09/0.54 ~ilf_type(cross_product(sK12_skl,sK13_skl),set_type)|member(sK14_skl,power_set(cross_product(sK12_skl,sK13_skl)))),
% 0.09/0.54 inference(duplicate_literals_removal,[status(thm)],[f1280])).
% 0.09/0.54 fof(f1287,plain,(
% 0.09/0.54 member(sK14_skl,power_set(cross_product(sK12_skl,sK13_skl)))),
% 0.09/0.54 inference(forward_subsumption_resolution,[status(thm)],[f1286,f120])).
% 0.97/0.56 fof(f1300,plain,(
% 0.97/0.56 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 0.97/0.56 inference(forward_subsumption_resolution,[status(thm)],[f108,f120])).
% 0.97/0.56 fof(f1301,plain,(
% 0.97/0.56 ![X0,X1]: (empty(X0)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 0.97/0.56 inference(resolution,[status(thm)],[f1300,f120])).
% 0.97/0.56 fof(f1302,plain,(
% 0.97/0.56 ![X0,X1]: (ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 0.97/0.56 inference(forward_subsumption_resolution,[status(thm)],[f1301,f253])).
% 0.97/0.56 fof(f1378,plain,(
% 0.97/0.56 ilf_type(sK14_skl,member_type(power_set(cross_product(sK12_skl,sK13_skl))))),
% 0.97/0.56 inference(resolution,[status(thm)],[f1302,f1287])).
% 0.97/0.56 fof(f1463,plain,(
% 0.97/0.56 ~ilf_type(sK14_skl,set_type)|ilf_type(sK14_skl,subset_type(cross_product(sK12_skl,sK13_skl)))),
% 0.97/0.56 inference(resolution,[status(thm)],[f1378,f545])).
% 0.97/0.56 fof(f1465,plain,(
% 0.97/0.56 ilf_type(sK14_skl,subset_type(cross_product(sK12_skl,sK13_skl)))),
% 0.97/0.56 inference(forward_subsumption_resolution,[status(thm)],[f1463,f120])).
% 0.97/0.56 fof(f1467,plain,(
% 0.97/0.56 ~ilf_type(sK13_skl,set_type)|ilf_type(sK14_skl,relation_type(sK12_skl,sK13_skl))),
% 0.97/0.56 inference(resolution,[status(thm)],[f1465,f132])).
% 0.97/0.56 fof(f1469,plain,(
% 0.97/0.56 ilf_type(sK14_skl,relation_type(sK12_skl,sK13_skl))),
% 0.97/0.56 inference(forward_subsumption_resolution,[status(thm)],[f1467,f120])).
% 0.97/0.56 fof(f1470,plain,(
% 0.97/0.56 $false),
% 0.97/0.56 inference(forward_subsumption_resolution,[status(thm)],[f1469,f128])).
% 0.97/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.97/0.58 % Elapsed time: 0.199706 seconds
% 0.97/0.58 % CPU time: 1.215667 seconds
% 0.97/0.58 % Total memory used: 101.587 MB
% 0.97/0.58 % Net memory used: 100.341 MB
%------------------------------------------------------------------------------