%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET680+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 : n018.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 02:12:27 PM UTC 2026
% Result : Theorem 0.20s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET680+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n018.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 05:34:28 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.47 % Drodi V4.1.1
% 0.20/0.54 % Refutation found
% 0.20/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.54 fof(f1,axiom,(
% 0.20/0.54 (! [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) ) )) ) )) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f2,axiom,(
% 0.20/0.54 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,binary_relation_type)=> ( member(ordered_pair(B,C),D)=> ( member(B,domain_of(D))& member(C,range_of(D)) ) ) ) )) )) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f6,axiom,(
% 0.20/0.54 (! [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))) ) )) ) )) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f8,axiom,(
% 0.20/0.54 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f10,axiom,(
% 0.20/0.54 (! [B] :( ilf_type(B,set_type)=> ( empty(B)<=> (! [C] :( ilf_type(C,set_type)=> ~ member(C,B) ) )) ) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f17,axiom,(
% 0.20/0.54 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f19,axiom,(
% 0.20/0.54 (! [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))) ) ) )) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f22,axiom,(
% 0.20/0.54 (! [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) ) ) )) ) )) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f23,axiom,(
% 0.20/0.54 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f26,axiom,(
% 0.20/0.54 (! [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) ) )) )) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f27,axiom,(
% 0.20/0.54 (! [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) ) )) )) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f29,axiom,(
% 0.20/0.54 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> range(B,C,D) = range_of(D) ) )) )) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f30,axiom,(
% 0.20/0.54 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> ilf_type(range(B,C,D),subset_type(C)) ) )) )) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f31,axiom,(
% 0.20/0.54 (! [B] : ilf_type(B,set_type) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f32,conjecture,(
% 0.20/0.54 (! [B] :( ( ~ empty(B)& ilf_type(B,set_type) )=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> (! [D] :( ilf_type(D,relation_type(B,C))=> (! [E] :( ilf_type(E,member_type(B))=> ( member(E,domain(B,C,D))<=> (? [F] :( ilf_type(F,member_type(C))& member(ordered_pair(E,F),D) ) )) ) )) )) )) )),
% 0.20/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.54 fof(f33,negated_conjecture,(
% 0.20/0.54 ~((! [B] :( ( ~ empty(B)& ilf_type(B,set_type) )=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> (! [D] :( ilf_type(D,relation_type(B,C))=> (! [E] :( ilf_type(E,member_type(B))=> ( member(E,domain(B,C,D))<=> (? [F] :( ilf_type(F,member_type(C))& member(ordered_pair(E,F),D) ) )) ) )) )) )) ))),
% 0.20/0.54 inference(negated_conjecture,[status(cth)],[f32])).
% 0.20/0.54 fof(f34,plain,(
% 0.20/0.54 ![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)))))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.20/0.54 fof(f35,plain,(
% 0.20/0.54 ![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))))))))),
% 0.20/0.54 inference(NNF_transformation,[status(thm)],[f34])).
% 0.20/0.54 fof(f36,plain,(
% 0.20/0.54 ![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))))))))),
% 0.20/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f35])).
% 0.20/0.54 fof(f38,plain,(
% 0.20/0.54 ![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))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f36])).
% 0.20/0.54 fof(f39,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|member(X0,domain_of(X1))|~ilf_type(X2,set_type)|~member(ordered_pair(X0,X2),X1))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f36])).
% 0.20/0.54 fof(f40,plain,(
% 0.20/0.54 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,binary_relation_type)|(~member(ordered_pair(B,C),D)|(member(B,domain_of(D))&member(C,range_of(D)))))))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.20/0.54 fof(f42,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,binary_relation_type)|~member(ordered_pair(X0,X1),X2)|member(X1,range_of(X2)))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f40])).
% 0.20/0.54 fof(f53,plain,(
% 0.20/0.54 ![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)))))))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.20/0.54 fof(f55,plain,(
% 0.20/0.54 ![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))))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f53])).
% 0.20/0.54 fof(f59,plain,(
% 0.20/0.54 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.20/0.54 fof(f60,plain,(
% 0.20/0.54 ![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))))))),
% 0.20/0.54 inference(NNF_transformation,[status(thm)],[f59])).
% 0.20/0.54 fof(f61,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f60])).
% 0.20/0.54 fof(f62,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f60])).
% 0.20/0.54 fof(f66,plain,(
% 0.20/0.54 ![B]: (~ilf_type(B,set_type)|(empty(B)<=>(![C]: (~ilf_type(C,set_type)|~member(C,B)))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.20/0.54 fof(f67,plain,(
% 0.20/0.54 ![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))))))),
% 0.20/0.54 inference(NNF_transformation,[status(thm)],[f66])).
% 0.20/0.54 fof(f68,plain,(
% 0.20/0.54 ![B]: (~ilf_type(B,set_type)|((~empty(B)|(![C]: (~ilf_type(C,set_type)|~member(C,B))))&(empty(B)|(ilf_type(sK3_skl(B),set_type)&member(sK3_skl(B),B)))))),
% 0.20/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(C,sK3_skl(B))],[f67])).
% 0.20/0.54 fof(f69,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f68])).
% 0.20/0.54 fof(f84,plain,(
% 0.20/0.54 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.20/0.54 fof(f85,plain,(
% 0.20/0.54 ![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)))))),
% 0.20/0.54 inference(NNF_transformation,[status(thm)],[f84])).
% 0.20/0.54 fof(f88,plain,(
% 0.20/0.54 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f85])).
% 0.20/0.54 fof(f91,plain,(
% 0.20/0.54 ![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)))))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.20/0.54 fof(f92,plain,(
% 0.20/0.54 ![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))))))))),
% 0.20/0.54 inference(NNF_transformation,[status(thm)],[f91])).
% 0.20/0.54 fof(f93,plain,(
% 0.20/0.54 ![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))))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f92])).
% 0.20/0.54 fof(f106,plain,(
% 0.20/0.54 ![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))))))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.20/0.54 fof(f107,plain,(
% 0.20/0.54 ![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)))))))))),
% 0.20/0.54 inference(NNF_transformation,[status(thm)],[f106])).
% 0.20/0.54 fof(f108,plain,(
% 0.20/0.54 ![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(sK7_skl(C,B),set_type)&(member(sK7_skl(C,B),B)&~member(sK7_skl(C,B),C))))))))),
% 0.20/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(D,sK7_skl(C,B))],[f107])).
% 0.20/0.54 fof(f109,plain,(
% 0.20/0.54 ![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))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f108])).
% 0.20/0.54 fof(f111,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|member(sK7_skl(X1,X0),X0))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f108])).
% 0.20/0.54 fof(f112,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|~member(sK7_skl(X1,X0),X1))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f108])).
% 0.20/0.54 fof(f113,plain,(
% 0.20/0.54 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.20/0.54 fof(f114,plain,(
% 0.20/0.54 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f113])).
% 0.20/0.54 fof(f127,plain,(
% 0.20/0.54 ![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))))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.20/0.54 fof(f128,plain,(
% 0.20/0.54 ![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))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f127])).
% 0.20/0.54 fof(f129,plain,(
% 0.20/0.54 ![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))))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.20/0.54 fof(f130,plain,(
% 0.20/0.54 ![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))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f129])).
% 0.20/0.54 fof(f133,plain,(
% 0.20/0.54 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|range(B,C,D)=range_of(D))))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.20/0.54 fof(f134,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|range(X0,X1,X2)=range_of(X2))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f133])).
% 0.20/0.54 fof(f135,plain,(
% 0.20/0.54 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|ilf_type(range(B,C,D),subset_type(C)))))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.20/0.54 fof(f136,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|ilf_type(range(X0,X1,X2),subset_type(X1)))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f135])).
% 0.20/0.54 fof(f137,plain,(
% 0.20/0.54 ![X0]: (ilf_type(X0,set_type))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f31])).
% 0.20/0.54 fof(f138,plain,(
% 0.20/0.54 (?[B]: ((~empty(B)&ilf_type(B,set_type))&(?[C]: ((~empty(C)&ilf_type(C,set_type))&(?[D]: (ilf_type(D,relation_type(B,C))&(?[E]: (ilf_type(E,member_type(B))&(member(E,domain(B,C,D))<~>(?[F]: (ilf_type(F,member_type(C))&member(ordered_pair(E,F),D))))))))))))),
% 0.20/0.54 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.20/0.54 fof(f139,plain,(
% 0.20/0.54 ?[B]: ((~empty(B)&ilf_type(B,set_type))&(?[C]: ((~empty(C)&ilf_type(C,set_type))&(?[D]: (ilf_type(D,relation_type(B,C))&(?[E]: (ilf_type(E,member_type(B))&((member(E,domain(B,C,D))|(?[F]: (ilf_type(F,member_type(C))&member(ordered_pair(E,F),D))))&(~member(E,domain(B,C,D))|(![F]: (~ilf_type(F,member_type(C))|~member(ordered_pair(E,F),D))))))))))))),
% 0.20/0.54 inference(NNF_transformation,[status(thm)],[f138])).
% 0.20/0.54 fof(f140,plain,(
% 0.20/0.54 ((~empty(sK11_skl)&ilf_type(sK11_skl,set_type))&((~empty(sK12_skl)&ilf_type(sK12_skl,set_type))&(ilf_type(sK13_skl,relation_type(sK11_skl,sK12_skl))&(ilf_type(sK14_skl,member_type(sK11_skl))&((member(sK14_skl,domain(sK11_skl,sK12_skl,sK13_skl))|(ilf_type(sK15_skl,member_type(sK12_skl))&member(ordered_pair(sK14_skl,sK15_skl),sK13_skl)))&(~member(sK14_skl,domain(sK11_skl,sK12_skl,sK13_skl))|(![F]: (~ilf_type(F,member_type(sK12_skl))|~member(ordered_pair(sK14_skl,F),sK13_skl)))))))))),
% 0.20/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl,sK14_skl,sK15_skl]),skolemize(B,sK11_skl),skolemize(C,sK12_skl),skolemize(D,sK13_skl),skolemize(E,sK14_skl),skolemize(F,sK15_skl)],[f139])).
% 0.20/0.54 fof(f145,plain,(
% 0.20/0.54 ilf_type(sK13_skl,relation_type(sK11_skl,sK12_skl))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f140])).
% 0.20/0.54 fof(f148,plain,(
% 0.20/0.54 member(sK14_skl,domain(sK11_skl,sK12_skl,sK13_skl))|member(ordered_pair(sK14_skl,sK15_skl),sK13_skl)),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f140])).
% 0.20/0.54 fof(f149,plain,(
% 0.20/0.54 ![X0]: (~member(sK14_skl,domain(sK11_skl,sK12_skl,sK13_skl))|~ilf_type(X0,member_type(sK12_skl))|~member(ordered_pair(sK14_skl,X0),sK13_skl))),
% 0.20/0.54 inference(cnf_transformation,[status(thm)],[f140])).
% 0.20/0.54 fof(f153,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 0.20/0.54 inference(backward_subsumption_resolution,[status(thm)],[f62,f69])).
% 0.20/0.54 fof(f154,plain,(
% 0.20/0.54 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.20/0.54 inference(duplicate_literals_removal,[status(thm)],[f88])).
% 0.20/0.54 fof(f156,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|ilf_type(range(X0,X2,X1),subset_type(X2)))),
% 0.20/0.54 inference(backward_subsumption_resolution,[status(thm)],[f136,f137])).
% 0.20/0.54 fof(f157,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|range(X0,X2,X1)=range_of(X1))),
% 0.20/0.54 inference(backward_subsumption_resolution,[status(thm)],[f134,f137])).
% 0.20/0.54 fof(f159,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|domain(X0,X2,X1)=domain_of(X1))),
% 0.20/0.54 inference(backward_subsumption_resolution,[status(thm)],[f130,f137])).
% 0.20/0.54 fof(f160,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X0,X2)))|relation_like(X1))),
% 0.20/0.54 inference(backward_subsumption_resolution,[status(thm)],[f128,f137])).
% 0.20/0.54 fof(f165,plain,(
% 0.20/0.54 ![X0]: (~empty(power_set(X0)))),
% 0.20/0.54 inference(backward_subsumption_resolution,[status(thm)],[f114,f137])).
% 0.20/0.54 fof(f166,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|member(X0,power_set(X1))|~member(sK7_skl(X1,X0),X1))),
% 0.20/0.54 inference(backward_subsumption_resolution,[status(thm)],[f112,f137])).
% 0.20/0.54 fof(f167,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|member(X0,power_set(X1))|member(sK7_skl(X1,X0),X0))),
% 0.20/0.54 inference(backward_subsumption_resolution,[status(thm)],[f111,f137])).
% 0.20/0.54 fof(f168,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 0.20/0.54 inference(backward_subsumption_resolution,[status(thm)],[f109,f137])).
% 0.20/0.54 fof(f173,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(X0))|ilf_type(X1,member_type(power_set(X0))))),
% 0.20/0.54 inference(backward_subsumption_resolution,[status(thm)],[f93,f137])).
% 0.20/0.54 fof(f174,plain,(
% 0.20/0.54 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.20/0.54 inference(backward_subsumption_resolution,[status(thm)],[f154,f137])).
% 0.20/0.54 fof(f180,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 0.20/0.54 inference(backward_subsumption_resolution,[status(thm)],[f61,f137])).
% 0.20/0.54 fof(f182,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|ilf_type(X1,subset_type(cross_product(X0,X2))))),
% 0.20/0.54 inference(backward_subsumption_resolution,[status(thm)],[f55,f137])).
% 0.20/0.54 fof(f186,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~member(ordered_pair(X0,X2),X1)|member(X2,range_of(X1)))),
% 0.20/0.54 inference(backward_subsumption_resolution,[status(thm)],[f42,f137])).
% 0.20/0.54 fof(f187,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|member(X0,domain_of(X1))|~member(ordered_pair(X0,X2),X1))),
% 0.20/0.54 inference(backward_subsumption_resolution,[status(thm)],[f39,f137])).
% 0.20/0.54 fof(f188,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,binary_relation_type)|~member(X1,domain_of(X0))|member(ordered_pair(X1,sK0_skl(X0,X1)),X0))),
% 0.20/0.54 inference(backward_subsumption_resolution,[status(thm)],[f38,f137])).
% 0.20/0.54 fof(f190,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,set_type)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f153,f137])).
% 0.20/0.54 fof(f191,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(range(X1,X2,X0),subset_type(X2)))),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f156,f137])).
% 0.20/0.54 fof(f192,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|range(X1,X2,X0)=range_of(X0))),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f157,f137])).
% 0.20/0.54 fof(f194,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|domain(X1,X2,X0)=domain_of(X0))),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f159,f137])).
% 0.20/0.54 fof(f195,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,subset_type(cross_product(X1,X2)))|relation_like(X0))),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f160,f137])).
% 0.20/0.54 fof(f198,plain,(
% 0.20/0.54 ![X0,X1]: (member(X0,power_set(X1))|~member(sK7_skl(X1,X0),X1))),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f166,f137])).
% 0.20/0.54 fof(f199,plain,(
% 0.20/0.54 ![X0,X1]: (member(X0,power_set(X1))|member(sK7_skl(X1,X0),X0))),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f167,f137])).
% 0.20/0.54 fof(f200,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~member(X2,X1)|member(X2,X0))),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f168,f137])).
% 0.20/0.54 fof(f204,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f173,f137])).
% 0.20/0.54 fof(f207,plain,(
% 0.20/0.54 ![X0,X1]: (empty(X0)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f180,f137])).
% 0.20/0.54 fof(f209,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(X0,subset_type(cross_product(X1,X2))))),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f182,f137])).
% 0.20/0.54 fof(f213,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,binary_relation_type)|~member(ordered_pair(X1,X2),X0)|member(X2,range_of(X0)))),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f186,f137])).
% 0.20/0.54 fof(f214,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~ilf_type(X0,binary_relation_type)|member(X1,domain_of(X0))|~member(ordered_pair(X1,X2),X0))),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f187,f137])).
% 0.20/0.54 fof(f222,plain,(
% 0.20/0.54 ![X0]: (member(X0,power_set(X0))|member(X0,power_set(X0)))),
% 0.20/0.54 inference(resolution,[status(thm)],[f199,f198])).
% 0.20/0.54 fof(f223,plain,(
% 0.20/0.54 ![X0]: (member(X0,power_set(X0)))),
% 0.20/0.54 inference(duplicate_literals_removal,[status(thm)],[f222])).
% 0.20/0.54 fof(f234,plain,(
% 0.20/0.54 ![X0,X1]: (ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 0.20/0.54 inference(resolution,[status(thm)],[f190,f137])).
% 0.20/0.54 fof(f242,plain,(
% 0.20/0.54 range(sK11_skl,sK12_skl,sK13_skl)=range_of(sK13_skl)),
% 0.20/0.54 inference(resolution,[status(thm)],[f192,f145])).
% 0.20/0.54 fof(f243,plain,(
% 0.20/0.54 ~ilf_type(sK13_skl,relation_type(sK11_skl,sK12_skl))|ilf_type(range_of(sK13_skl),subset_type(sK12_skl))),
% 0.20/0.54 inference(paramodulation,[status(thm)],[f242,f191])).
% 0.20/0.54 fof(f244,plain,(
% 0.20/0.54 ilf_type(range_of(sK13_skl),subset_type(sK12_skl))),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f243,f145])).
% 0.20/0.54 fof(f258,plain,(
% 0.20/0.54 domain(sK11_skl,sK12_skl,sK13_skl)=domain_of(sK13_skl)),
% 0.20/0.54 inference(resolution,[status(thm)],[f194,f145])).
% 0.20/0.54 fof(f259,plain,(
% 0.20/0.54 ![X0]: (~member(sK14_skl,domain_of(sK13_skl))|~ilf_type(X0,member_type(sK12_skl))|~member(ordered_pair(sK14_skl,X0),sK13_skl))),
% 0.20/0.54 inference(backward_demodulation,[status(thm)],[f258,f149])).
% 0.20/0.54 fof(f260,plain,(
% 0.20/0.54 member(sK14_skl,domain_of(sK13_skl))|member(ordered_pair(sK14_skl,sK15_skl),sK13_skl)),
% 0.20/0.54 inference(backward_demodulation,[status(thm)],[f258,f148])).
% 0.20/0.54 fof(f265,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|empty(power_set(X1))|member(X0,power_set(X1)))),
% 0.20/0.54 inference(resolution,[status(thm)],[f204,f207])).
% 0.20/0.54 fof(f266,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|member(X0,power_set(X1)))),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f265,f165])).
% 0.20/0.54 fof(f269,plain,(
% 0.20/0.54 member(range_of(sK13_skl),power_set(sK12_skl))),
% 0.20/0.54 inference(resolution,[status(thm)],[f266,f244])).
% 0.20/0.54 fof(f287,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 0.20/0.54 inference(resolution,[status(thm)],[f200,f137])).
% 0.20/0.54 fof(f313,plain,(
% 0.20/0.54 ilf_type(sK13_skl,subset_type(cross_product(sK11_skl,sK12_skl)))),
% 0.20/0.54 inference(resolution,[status(thm)],[f209,f145])).
% 0.20/0.54 fof(f317,plain,(
% 0.20/0.54 relation_like(sK13_skl)),
% 0.20/0.54 inference(resolution,[status(thm)],[f313,f195])).
% 0.20/0.54 fof(f365,plain,(
% 0.20/0.54 ![X0,X1,X2]: (~member(ordered_pair(X0,X1),X2)|member(X1,range_of(X2))|~relation_like(X2))),
% 0.20/0.54 inference(resolution,[status(thm)],[f213,f174])).
% 0.20/0.54 fof(f432,plain,(
% 0.20/0.54 ![X0,X1,X2]: (member(X0,domain_of(X1))|~member(ordered_pair(X0,X2),X1)|~relation_like(X1))),
% 0.20/0.54 inference(resolution,[status(thm)],[f214,f174])).
% 0.20/0.54 fof(f434,plain,(
% 0.20/0.54 ![X0,X1]: (~member(X0,domain_of(X1))|member(ordered_pair(X0,sK0_skl(X1,X0)),X1)|~relation_like(X1))),
% 0.20/0.54 inference(resolution,[status(thm)],[f188,f174])).
% 0.20/0.54 fof(f457,plain,(
% 0.20/0.54 member(sK14_skl,domain_of(sK13_skl))|~relation_like(sK13_skl)|member(sK14_skl,domain_of(sK13_skl))),
% 0.20/0.54 inference(resolution,[status(thm)],[f432,f260])).
% 0.20/0.54 fof(f460,plain,(
% 0.20/0.54 member(sK14_skl,domain_of(sK13_skl))|~relation_like(sK13_skl)),
% 0.20/0.54 inference(duplicate_literals_removal,[status(thm)],[f457])).
% 0.20/0.54 fof(f461,plain,(
% 0.20/0.54 ![X0]: (~ilf_type(X0,member_type(sK12_skl))|~member(ordered_pair(sK14_skl,X0),sK13_skl))),
% 0.20/0.54 inference(backward_subsumption_resolution,[status(thm)],[f259,f462])).
% 0.20/0.54 fof(f462,plain,(
% 0.20/0.54 member(sK14_skl,domain_of(sK13_skl))),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f460,f317])).
% 0.20/0.54 fof(f465,plain,(
% 0.20/0.54 ![X0,X1]: (~ilf_type(X0,member_type(sK12_skl))|~member(X1,power_set(sK13_skl))|~member(ordered_pair(sK14_skl,X0),X1))),
% 0.20/0.54 inference(resolution,[status(thm)],[f461,f287])).
% 0.20/0.54 fof(f498,plain,(
% 0.20/0.54 ![X0,X1]: (~member(X0,power_set(sK13_skl))|~member(ordered_pair(sK14_skl,X1),X0)|~member(X1,sK12_skl))),
% 0.20/0.54 inference(resolution,[status(thm)],[f465,f234])).
% 0.20/0.54 fof(f790,plain,(
% 0.20/0.54 member(ordered_pair(sK14_skl,sK0_skl(sK13_skl,sK14_skl)),sK13_skl)|~relation_like(sK13_skl)),
% 0.20/0.54 inference(resolution,[status(thm)],[f434,f462])).
% 0.20/0.54 fof(f792,plain,(
% 0.20/0.54 member(ordered_pair(sK14_skl,sK0_skl(sK13_skl,sK14_skl)),sK13_skl)),
% 0.20/0.54 inference(forward_subsumption_resolution,[status(thm)],[f790,f317])).
% 0.20/0.54 fof(f807,plain,(
% 0.20/0.54 ~member(sK13_skl,power_set(sK13_skl))|~member(sK0_skl(sK13_skl,sK14_skl),sK12_skl)),
% 0.20/0.55 inference(resolution,[status(thm)],[f792,f498])).
% 0.20/0.55 fof(f811,plain,(
% 0.20/0.55 member(sK0_skl(sK13_skl,sK14_skl),range_of(sK13_skl))|~relation_like(sK13_skl)),
% 0.20/0.55 inference(resolution,[status(thm)],[f792,f365])).
% 0.20/0.55 fof(f813,plain,(
% 0.20/0.55 ~member(sK0_skl(sK13_skl,sK14_skl),sK12_skl)),
% 0.20/0.55 inference(forward_subsumption_resolution,[status(thm)],[f807,f223])).
% 0.20/0.55 fof(f814,plain,(
% 0.20/0.55 member(sK0_skl(sK13_skl,sK14_skl),range_of(sK13_skl))),
% 0.20/0.55 inference(forward_subsumption_resolution,[status(thm)],[f811,f317])).
% 0.20/0.55 fof(f815,plain,(
% 0.20/0.55 ![X0]: (~member(X0,power_set(sK12_skl))|~member(sK0_skl(sK13_skl,sK14_skl),X0))),
% 0.20/0.55 inference(resolution,[status(thm)],[f813,f287])).
% 0.20/0.55 fof(f843,plain,(
% 0.20/0.55 ~member(range_of(sK13_skl),power_set(sK12_skl))),
% 0.20/0.55 inference(resolution,[status(thm)],[f815,f814])).
% 0.20/0.55 fof(f846,plain,(
% 0.20/0.55 $false),
% 0.20/0.55 inference(forward_subsumption_resolution,[status(thm)],[f843,f269])).
% 0.20/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.60 % Elapsed time: 0.127261 seconds
% 0.26/0.60 % CPU time: 0.531240 seconds
% 0.26/0.60 % Total memory used: 79.075 MB
% 0.26/0.60 % Net memory used: 78.601 MB
%------------------------------------------------------------------------------