%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET678+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 : n009.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 0.13s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET678+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 : n009.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 05:32:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.49 % Refutation found
% 0.13/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.49 fof(f1,axiom,(
% 0.13/0.49 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,binary_relation_type)=> ( subset(domain_of(C),B)=> compose(identity_relation_of(B),C) = C ) ) )) )),
% 0.13/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f2,axiom,(
% 0.13/0.49 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,binary_relation_type)=> ( subset(range_of(C),B)=> compose(C,identity_relation_of(B)) = C ) ) )) )),
% 0.13/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f7,axiom,(
% 0.13/0.49 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( ilf_type(C,identity_relation_of_type(B))<=> ilf_type(C,relation_type(B,B)) ) ) )) )),
% 0.13/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f13,axiom,(
% 0.13/0.49 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 0.13/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f15,axiom,(
% 0.13/0.49 (! [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))) ) )) ) )) )),
% 0.13/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f19,axiom,(
% 0.13/0.49 (! [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) ) ) )) ) )) )),
% 0.13/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f22,axiom,(
% 0.13/0.49 (! [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))) ) ) )) )),
% 0.13/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f25,axiom,(
% 0.13/0.49 (! [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) ) )) )) )),
% 0.13/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f26,axiom,(
% 0.13/0.49 (! [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) ) ) )) ) )) )),
% 0.13/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f27,axiom,(
% 0.13/0.49 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 0.13/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f28,axiom,(
% 0.13/0.49 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 0.13/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f32,axiom,(
% 0.13/0.49 (! [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) ) )) )) )),
% 0.13/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.49 fof(f33,axiom,(
% 0.13/0.49 (! [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)) ) )) )) )),
% 0.13/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f34,axiom,(
% 0.13/0.50 (! [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) ) )) )) )),
% 0.13/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f35,axiom,(
% 0.13/0.50 (! [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)) ) )) )) )),
% 0.13/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f38,axiom,(
% 0.13/0.50 (! [B] : ilf_type(B,set_type) )),
% 0.13/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f39,conjecture,(
% 0.13/0.50 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,identity_relation_of_type(B))=> ( compose(C,identity_relation_of(B)) = C& compose(identity_relation_of(B),C) = C ) ) )) )),
% 0.13/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.50 fof(f40,negated_conjecture,(
% 0.13/0.50 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,identity_relation_of_type(B))=> ( compose(C,identity_relation_of(B)) = C& compose(identity_relation_of(B),C) = C ) ) )) ))),
% 0.13/0.50 inference(negated_conjecture,[status(cth)],[f39])).
% 0.13/0.50 fof(f41,plain,(
% 0.13/0.50 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,binary_relation_type)|(~subset(domain_of(C),B)|compose(identity_relation_of(B),C)=C))))),
% 0.13/0.50 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.13/0.50 fof(f42,plain,(
% 0.13/0.50 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~subset(domain_of(X1),X0)|compose(identity_relation_of(X0),X1)=X1)),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.50 fof(f43,plain,(
% 0.13/0.50 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,binary_relation_type)|(~subset(range_of(C),B)|compose(C,identity_relation_of(B))=C))))),
% 0.13/0.50 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.50 fof(f44,plain,(
% 0.13/0.50 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~subset(range_of(X1),X0)|compose(X1,identity_relation_of(X0))=X1)),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f43])).
% 0.13/0.50 fof(f61,plain,(
% 0.13/0.50 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(ilf_type(C,identity_relation_of_type(B))<=>ilf_type(C,relation_type(B,B))))))),
% 0.13/0.50 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.13/0.50 fof(f62,plain,(
% 0.13/0.50 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~ilf_type(C,identity_relation_of_type(B))|ilf_type(C,relation_type(B,B)))&(ilf_type(C,identity_relation_of_type(B))|~ilf_type(C,relation_type(B,B)))))))),
% 0.13/0.50 inference(NNF_transformation,[status(thm)],[f61])).
% 0.13/0.50 fof(f63,plain,(
% 0.13/0.50 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X1,identity_relation_of_type(X0))|ilf_type(X1,relation_type(X0,X0)))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f62])).
% 0.13/0.50 fof(f83,plain,(
% 0.13/0.50 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 0.13/0.50 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.13/0.50 fof(f84,plain,(
% 0.13/0.50 ![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)))))),
% 0.13/0.50 inference(NNF_transformation,[status(thm)],[f83])).
% 0.13/0.50 fof(f87,plain,(
% 0.13/0.50 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f84])).
% 0.13/0.50 fof(f90,plain,(
% 0.13/0.50 ![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)))))))))),
% 0.13/0.50 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.13/0.50 fof(f92,plain,(
% 0.13/0.50 ![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))))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f90])).
% 0.13/0.50 fof(f100,plain,(
% 0.13/0.50 ![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))))))))),
% 0.13/0.50 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.13/0.50 fof(f101,plain,(
% 0.13/0.50 ![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)))))))))),
% 0.13/0.50 inference(NNF_transformation,[status(thm)],[f100])).
% 0.13/0.50 fof(f102,plain,(
% 0.13/0.50 ![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))))))))),
% 0.13/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(D,sK6_skl(C,B))],[f101])).
% 0.13/0.50 fof(f105,plain,(
% 0.13/0.50 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|member(sK6_skl(X1,X0),X0))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f102])).
% 0.13/0.50 fof(f106,plain,(
% 0.13/0.50 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|~member(sK6_skl(X1,X0),X1))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f102])).
% 0.13/0.50 fof(f111,plain,(
% 0.13/0.50 ![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)))))))),
% 0.13/0.50 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.13/0.50 fof(f112,plain,(
% 0.13/0.50 ![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))))))))),
% 0.13/0.50 inference(NNF_transformation,[status(thm)],[f111])).
% 0.13/0.50 fof(f113,plain,(
% 0.13/0.50 ![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))))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f112])).
% 0.13/0.50 fof(f127,plain,(
% 0.13/0.50 ![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))))))),
% 0.13/0.50 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.13/0.50 fof(f128,plain,(
% 0.13/0.50 ![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))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f127])).
% 0.13/0.50 fof(f129,plain,(
% 0.13/0.50 ![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))))))))),
% 0.13/0.50 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.13/0.50 fof(f130,plain,(
% 0.13/0.50 ![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)))))))))),
% 0.13/0.50 inference(NNF_transformation,[status(thm)],[f129])).
% 0.13/0.50 fof(f131,plain,(
% 0.13/0.50 ![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(sK11_skl(C,B),set_type)&(member(sK11_skl(C,B),B)&~member(sK11_skl(C,B),C))))))))),
% 0.13/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(D,sK11_skl(C,B))],[f130])).
% 0.13/0.50 fof(f132,plain,(
% 0.13/0.50 ![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))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f131])).
% 0.13/0.50 fof(f136,plain,(
% 0.13/0.50 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 0.13/0.50 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.13/0.50 fof(f137,plain,(
% 0.13/0.50 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f136])).
% 0.13/0.50 fof(f139,plain,(
% 0.13/0.50 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 0.13/0.50 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.13/0.50 fof(f140,plain,(
% 0.13/0.50 ![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))))))),
% 0.13/0.50 inference(NNF_transformation,[status(thm)],[f139])).
% 0.13/0.50 fof(f141,plain,(
% 0.13/0.50 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f140])).
% 0.13/0.50 fof(f154,plain,(
% 0.13/0.50 ![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))))))),
% 0.13/0.50 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 0.13/0.50 fof(f155,plain,(
% 0.13/0.50 ![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))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f154])).
% 0.13/0.50 fof(f156,plain,(
% 0.13/0.50 ![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)))))))),
% 0.13/0.50 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.13/0.50 fof(f157,plain,(
% 0.13/0.50 ![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)))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f156])).
% 0.13/0.50 fof(f158,plain,(
% 0.13/0.50 ![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))))))),
% 0.13/0.50 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 0.13/0.50 fof(f159,plain,(
% 0.13/0.50 ![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))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f158])).
% 0.13/0.50 fof(f160,plain,(
% 0.13/0.50 ![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)))))))),
% 0.13/0.50 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.13/0.50 fof(f161,plain,(
% 0.13/0.50 ![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)))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f160])).
% 0.13/0.50 fof(f166,plain,(
% 0.13/0.50 ![X0]: (ilf_type(X0,set_type))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f38])).
% 0.13/0.50 fof(f167,plain,(
% 0.13/0.50 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,identity_relation_of_type(B))&(~compose(C,identity_relation_of(B))=C|~compose(identity_relation_of(B),C)=C)))))),
% 0.13/0.50 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.13/0.50 fof(f168,plain,(
% 0.13/0.50 (ilf_type(sK14_skl,set_type)&(ilf_type(sK15_skl,identity_relation_of_type(sK14_skl))&(~compose(sK15_skl,identity_relation_of(sK14_skl))=sK15_skl|~compose(identity_relation_of(sK14_skl),sK15_skl)=sK15_skl)))),
% 0.13/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl]),skolemize(B,sK14_skl),skolemize(C,sK15_skl)],[f167])).
% 0.13/0.50 fof(f170,plain,(
% 0.13/0.50 ilf_type(sK15_skl,identity_relation_of_type(sK14_skl))),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f168])).
% 0.13/0.50 fof(f171,plain,(
% 0.13/0.50 ~compose(sK15_skl,identity_relation_of(sK14_skl))=sK15_skl|~compose(identity_relation_of(sK14_skl),sK15_skl)=sK15_skl),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f168])).
% 0.13/0.50 fof(f174,plain,(
% 0.13/0.50 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.13/0.50 inference(duplicate_literals_removal,[status(thm)],[f87])).
% 0.13/0.50 fof(f178,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|ilf_type(range(X0,X2,X1),subset_type(X2)))),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f161,f166])).
% 0.13/0.50 fof(f179,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|range(X0,X2,X1)=range_of(X1))),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f159,f166])).
% 0.13/0.50 fof(f180,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|ilf_type(domain(X0,X2,X1),subset_type(X0)))),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f157,f166])).
% 0.13/0.50 fof(f181,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|domain(X0,X2,X1)=domain_of(X1))),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f155,f166])).
% 0.13/0.50 fof(f186,plain,(
% 0.13/0.50 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f141,f166])).
% 0.13/0.50 fof(f187,plain,(
% 0.13/0.50 ![X0]: (~empty(power_set(X0)))),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f137,f166])).
% 0.13/0.50 fof(f190,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f132,f166])).
% 0.13/0.50 fof(f191,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X0,X2)))|relation_like(X1))),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f128,f166])).
% 0.13/0.50 fof(f197,plain,(
% 0.13/0.50 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(X0))|ilf_type(X1,member_type(power_set(X0))))),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f113,f166])).
% 0.13/0.50 fof(f199,plain,(
% 0.13/0.50 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X0,X1)|~member(sK6_skl(X1,X0),X1))),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f106,f166])).
% 0.13/0.50 fof(f200,plain,(
% 0.13/0.50 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X0,X1)|member(sK6_skl(X1,X0),X0))),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f105,f166])).
% 0.13/0.50 fof(f203,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|ilf_type(X1,subset_type(cross_product(X0,X2))))),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f92,f166])).
% 0.13/0.50 fof(f205,plain,(
% 0.13/0.50 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f174,f166])).
% 0.13/0.50 fof(f209,plain,(
% 0.13/0.50 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,identity_relation_of_type(X0))|ilf_type(X1,relation_type(X0,X0)))),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f63,f166])).
% 0.13/0.50 fof(f217,plain,(
% 0.13/0.50 ![X0,X1]: (~ilf_type(X0,binary_relation_type)|~subset(range_of(X0),X1)|compose(X0,identity_relation_of(X1))=X0)),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f44,f166])).
% 0.13/0.50 fof(f218,plain,(
% 0.13/0.50 ![X0,X1]: (~ilf_type(X0,binary_relation_type)|~subset(domain_of(X0),X1)|compose(identity_relation_of(X1),X0)=X0)),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f42,f166])).
% 0.13/0.50 fof(f222,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(range(X1,X2,X0),subset_type(X2)))),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f178,f166])).
% 0.13/0.50 fof(f223,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|range(X1,X2,X0)=range_of(X0))),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f179,f166])).
% 0.13/0.50 fof(f224,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(domain(X1,X2,X0),subset_type(X1)))),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f180,f166])).
% 0.13/0.50 fof(f225,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|domain(X1,X2,X0)=domain_of(X0))),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f181,f166])).
% 0.13/0.50 fof(f227,plain,(
% 0.13/0.50 ![X0,X1]: (empty(X0)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f186,f166])).
% 0.13/0.50 fof(f230,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~member(X2,X1)|member(X2,X0))),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f190,f166])).
% 0.13/0.50 fof(f231,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~ilf_type(X0,subset_type(cross_product(X1,X2)))|relation_like(X0))),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f191,f166])).
% 0.13/0.50 fof(f235,plain,(
% 0.13/0.50 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f197,f166])).
% 0.13/0.50 fof(f236,plain,(
% 0.13/0.50 ![X0,X1]: (subset(X0,X1)|~member(sK6_skl(X1,X0),X1))),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f199,f166])).
% 0.13/0.50 fof(f237,plain,(
% 0.13/0.50 ![X0,X1]: (subset(X0,X1)|member(sK6_skl(X1,X0),X0))),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f200,f166])).
% 0.13/0.50 fof(f240,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(X0,subset_type(cross_product(X1,X2))))),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f203,f166])).
% 0.13/0.50 fof(f243,plain,(
% 0.13/0.50 ![X0,X1]: (~ilf_type(X0,identity_relation_of_type(X1))|ilf_type(X0,relation_type(X1,X1)))),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f209,f166])).
% 0.13/0.50 fof(f280,plain,(
% 0.13/0.50 ![X0,X1]: (range(X0,X0,X1)=range_of(X1)|~ilf_type(X1,identity_relation_of_type(X0)))),
% 0.13/0.50 inference(resolution,[status(thm)],[f223,f243])).
% 0.13/0.50 fof(f291,plain,(
% 0.13/0.50 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|empty(power_set(X1))|member(X0,power_set(X1)))),
% 0.13/0.50 inference(resolution,[status(thm)],[f235,f227])).
% 0.13/0.50 fof(f292,plain,(
% 0.13/0.50 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|member(X0,power_set(X1)))),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f291,f187])).
% 0.13/0.50 fof(f307,plain,(
% 0.13/0.50 range(sK14_skl,sK14_skl,sK15_skl)=range_of(sK15_skl)),
% 0.13/0.50 inference(resolution,[status(thm)],[f280,f170])).
% 0.13/0.50 fof(f310,plain,(
% 0.13/0.50 ![X0,X1]: (domain(X0,X0,X1)=domain_of(X1)|~ilf_type(X1,identity_relation_of_type(X0)))),
% 0.13/0.50 inference(resolution,[status(thm)],[f225,f243])).
% 0.13/0.50 fof(f312,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 0.13/0.50 inference(resolution,[status(thm)],[f230,f166])).
% 0.13/0.50 fof(f313,plain,(
% 0.13/0.50 ~ilf_type(sK15_skl,relation_type(sK14_skl,sK14_skl))|ilf_type(range_of(sK15_skl),subset_type(sK14_skl))),
% 0.13/0.50 inference(paramodulation,[status(thm)],[f307,f222])).
% 0.13/0.50 fof(f314,plain,(
% 0.13/0.50 ~ilf_type(sK15_skl,relation_type(sK14_skl,sK14_skl))|member(range_of(sK15_skl),power_set(sK14_skl))),
% 0.13/0.50 inference(resolution,[status(thm)],[f313,f292])).
% 0.13/0.50 fof(f315,plain,(
% 0.13/0.50 member(range_of(sK15_skl),power_set(sK14_skl))|~ilf_type(sK15_skl,identity_relation_of_type(sK14_skl))),
% 0.13/0.50 inference(resolution,[status(thm)],[f314,f243])).
% 0.13/0.50 fof(f316,plain,(
% 0.13/0.50 member(range_of(sK15_skl),power_set(sK14_skl))),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f315,f170])).
% 0.13/0.50 fof(f336,plain,(
% 0.13/0.50 domain(sK14_skl,sK14_skl,sK15_skl)=domain_of(sK15_skl)),
% 0.13/0.50 inference(resolution,[status(thm)],[f310,f170])).
% 0.13/0.50 fof(f338,plain,(
% 0.13/0.50 ~ilf_type(sK15_skl,relation_type(sK14_skl,sK14_skl))|ilf_type(domain_of(sK15_skl),subset_type(sK14_skl))),
% 0.13/0.50 inference(paramodulation,[status(thm)],[f336,f224])).
% 0.13/0.50 fof(f340,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|relation_like(X0))),
% 0.13/0.50 inference(resolution,[status(thm)],[f240,f231])).
% 0.13/0.50 fof(f344,plain,(
% 0.13/0.50 ![X0,X1]: (relation_like(X0)|~ilf_type(X0,identity_relation_of_type(X1)))),
% 0.13/0.50 inference(resolution,[status(thm)],[f340,f243])).
% 0.13/0.50 fof(f349,plain,(
% 0.13/0.50 relation_like(sK15_skl)),
% 0.13/0.50 inference(resolution,[status(thm)],[f344,f170])).
% 0.13/0.50 fof(f355,plain,(
% 0.13/0.50 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(sK6_skl(X1,X2),X0)|subset(X2,X1))),
% 0.13/0.50 inference(resolution,[status(thm)],[f312,f236])).
% 0.13/0.50 fof(f389,plain,(
% 0.13/0.50 ~ilf_type(sK15_skl,relation_type(sK14_skl,sK14_skl))|member(domain_of(sK15_skl),power_set(sK14_skl))),
% 0.13/0.50 inference(resolution,[status(thm)],[f338,f292])).
% 0.13/0.50 fof(f390,plain,(
% 0.13/0.50 member(domain_of(sK15_skl),power_set(sK14_skl))|~ilf_type(sK15_skl,identity_relation_of_type(sK14_skl))),
% 0.13/0.50 inference(resolution,[status(thm)],[f389,f243])).
% 0.13/0.50 fof(f391,plain,(
% 0.13/0.50 member(domain_of(sK15_skl),power_set(sK14_skl))),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f390,f170])).
% 0.13/0.50 fof(f758,plain,(
% 0.13/0.50 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1)|subset(X0,X1))),
% 0.13/0.50 inference(resolution,[status(thm)],[f355,f237])).
% 0.13/0.50 fof(f762,plain,(
% 0.13/0.50 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1))),
% 0.13/0.50 inference(duplicate_literals_removal,[status(thm)],[f758])).
% 0.13/0.50 fof(f767,plain,(
% 0.13/0.50 subset(domain_of(sK15_skl),sK14_skl)),
% 0.13/0.50 inference(resolution,[status(thm)],[f762,f391])).
% 0.13/0.50 fof(f770,plain,(
% 0.13/0.50 subset(range_of(sK15_skl),sK14_skl)),
% 0.13/0.50 inference(resolution,[status(thm)],[f762,f316])).
% 0.13/0.50 fof(f784,plain,(
% 0.13/0.50 ~ilf_type(sK15_skl,binary_relation_type)|compose(identity_relation_of(sK14_skl),sK15_skl)=sK15_skl),
% 0.13/0.50 inference(resolution,[status(thm)],[f767,f218])).
% 0.13/0.50 fof(f786,plain,(
% 0.13/0.50 ~ilf_type(sK15_skl,binary_relation_type)|compose(sK15_skl,identity_relation_of(sK14_skl))=sK15_skl),
% 0.13/0.50 inference(resolution,[status(thm)],[f770,f217])).
% 0.13/0.50 fof(f841,plain,(
% 0.13/0.50 compose(identity_relation_of(sK14_skl),sK15_skl)=sK15_skl|~relation_like(sK15_skl)),
% 0.13/0.50 inference(resolution,[status(thm)],[f784,f205])).
% 0.13/0.50 fof(f843,plain,(
% 0.13/0.50 ~compose(sK15_skl,identity_relation_of(sK14_skl))=sK15_skl|~sK15_skl=sK15_skl),
% 0.13/0.50 inference(backward_demodulation,[status(thm)],[f844,f171])).
% 0.13/0.50 fof(f844,plain,(
% 0.13/0.50 compose(identity_relation_of(sK14_skl),sK15_skl)=sK15_skl),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f841,f349])).
% 0.13/0.50 fof(f845,plain,(
% 0.13/0.50 ~ilf_type(sK15_skl,binary_relation_type)),
% 0.13/0.50 inference(backward_subsumption_resolution,[status(thm)],[f786,f846])).
% 0.13/0.50 fof(f846,plain,(
% 0.13/0.50 ~compose(sK15_skl,identity_relation_of(sK14_skl))=sK15_skl),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f843])).
% 0.13/0.50 fof(f847,plain,(
% 0.13/0.50 ~relation_like(sK15_skl)),
% 0.13/0.50 inference(resolution,[status(thm)],[f845,f205])).
% 0.13/0.50 fof(f848,plain,(
% 0.13/0.50 $false),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f847,f349])).
% 0.13/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.51 % Elapsed time: 0.134832 seconds
% 0.13/0.51 % CPU time: 0.811799 seconds
% 0.13/0.51 % Total memory used: 99.712 MB
% 0.13/0.51 % Net memory used: 98.856 MB
%------------------------------------------------------------------------------