%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET668+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 02:12:25 PM UTC 2026
% Result : Theorem 0.08s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET668+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n008.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 05:32:25 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.44 % Refutation found
% 0.08/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.44 fof(f1,axiom,(
% 0.08/0.44 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( ( subset(B,C)& subset(C,B) )=> B = C ) ) )) )),
% 0.08/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.44 fof(f2,axiom,(
% 0.08/0.44 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(B,C))=> ( subset(identity_relation_of(D),E)=> ( subset(D,domain(B,C,E))& subset(D,range(B,C,E)) ) ) ) )) )) )) )),
% 0.08/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.44 fof(f7,axiom,(
% 0.08/0.44 (! [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) ) ) )) ) )) )),
% 0.08/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.44 fof(f16,axiom,(
% 0.08/0.44 (! [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))) ) ) )) )),
% 0.08/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.44 fof(f20,axiom,(
% 0.08/0.44 (! [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) ) ) )) ) )) )),
% 0.08/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.44 fof(f21,axiom,(
% 0.08/0.44 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 0.08/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.44 fof(f22,axiom,(
% 0.08/0.44 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 0.08/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.44 fof(f28,axiom,(
% 0.08/0.44 (! [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) ) )) )) )),
% 0.08/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.44 fof(f29,axiom,(
% 0.08/0.44 (! [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)) ) )) )) )),
% 0.08/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.44 fof(f30,axiom,(
% 0.08/0.44 (! [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) ) )) )) )),
% 0.08/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.44 fof(f32,axiom,(
% 0.08/0.44 (! [B] : ilf_type(B,set_type) )),
% 0.08/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.44 fof(f33,conjecture,(
% 0.08/0.44 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(C,B))=> ( subset(identity_relation_of(C),D)=> ( C = domain(C,B,D)& subset(C,range(C,B,D)) ) ) ) )) )) )),
% 0.08/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.44 fof(f34,negated_conjecture,(
% 0.08/0.44 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(C,B))=> ( subset(identity_relation_of(C),D)=> ( C = domain(C,B,D)& subset(C,range(C,B,D)) ) ) ) )) )) ))),
% 0.08/0.44 inference(negated_conjecture,[status(cth)],[f33])).
% 0.08/0.44 fof(f35,plain,(
% 0.08/0.44 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~subset(B,C)|~subset(C,B))|B=C))))),
% 0.08/0.44 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.08/0.44 fof(f36,plain,(
% 0.08/0.44 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X0,X1)|~subset(X1,X0)|X0=X1)),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f35])).
% 0.08/0.44 fof(f37,plain,(
% 0.08/0.44 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,relation_type(B,C))|(~subset(identity_relation_of(D),E)|(subset(D,domain(B,C,E))&subset(D,range(B,C,E)))))))))))),
% 0.08/0.44 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.44 fof(f38,plain,(
% 0.08/0.44 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X0,X1))|~subset(identity_relation_of(X2),X3)|subset(X2,domain(X0,X1,X3)))),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f37])).
% 0.08/0.44 fof(f39,plain,(
% 0.08/0.44 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X0,X1))|~subset(identity_relation_of(X2),X3)|subset(X2,range(X0,X1,X3)))),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f37])).
% 0.08/0.44 fof(f53,plain,(
% 0.08/0.44 ![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))))))))),
% 0.08/0.44 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.08/0.44 fof(f54,plain,(
% 0.08/0.44 ![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)))))))))),
% 0.08/0.44 inference(NNF_transformation,[status(thm)],[f53])).
% 0.08/0.44 fof(f55,plain,(
% 0.08/0.44 ![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(sK1_skl(C,B),set_type)&(member(sK1_skl(C,B),B)&~member(sK1_skl(C,B),C))))))))),
% 0.08/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B))],[f54])).
% 0.08/0.44 fof(f58,plain,(
% 0.08/0.44 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|member(sK1_skl(X1,X0),X0))),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f55])).
% 0.08/0.44 fof(f59,plain,(
% 0.08/0.44 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|subset(X0,X1)|~member(sK1_skl(X1,X0),X1))),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f55])).
% 0.08/0.44 fof(f88,plain,(
% 0.08/0.44 ![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)))))))),
% 0.08/0.44 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.08/0.44 fof(f89,plain,(
% 0.08/0.44 ![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))))))))),
% 0.08/0.44 inference(NNF_transformation,[status(thm)],[f88])).
% 0.08/0.44 fof(f90,plain,(
% 0.08/0.44 ![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))))),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f89])).
% 0.08/0.44 fof(f99,plain,(
% 0.08/0.44 ![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))))))))),
% 0.08/0.44 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.08/0.44 fof(f100,plain,(
% 0.08/0.44 ![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)))))))))),
% 0.08/0.44 inference(NNF_transformation,[status(thm)],[f99])).
% 0.08/0.44 fof(f101,plain,(
% 0.08/0.44 ![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(sK6_skl(C,B),set_type)&(member(sK6_skl(C,B),B)&~member(sK6_skl(C,B),C))))))))),
% 0.08/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(D,sK6_skl(C,B))],[f100])).
% 0.08/0.44 fof(f102,plain,(
% 0.08/0.44 ![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))),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f101])).
% 0.08/0.44 fof(f106,plain,(
% 0.08/0.44 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 0.08/0.44 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.08/0.44 fof(f107,plain,(
% 0.08/0.44 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f106])).
% 0.08/0.44 fof(f109,plain,(
% 0.08/0.44 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 0.08/0.44 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.08/0.44 fof(f110,plain,(
% 0.08/0.44 ![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))))))),
% 0.08/0.44 inference(NNF_transformation,[status(thm)],[f109])).
% 0.08/0.44 fof(f111,plain,(
% 0.08/0.44 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f110])).
% 0.08/0.44 fof(f135,plain,(
% 0.08/0.44 ![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))))))),
% 0.08/0.44 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.08/0.44 fof(f136,plain,(
% 0.08/0.44 ![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))),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f135])).
% 0.08/0.44 fof(f137,plain,(
% 0.08/0.44 ![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)))))))),
% 0.08/0.44 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.08/0.44 fof(f138,plain,(
% 0.08/0.44 ![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)))),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f137])).
% 0.08/0.44 fof(f139,plain,(
% 0.08/0.44 ![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))))))),
% 0.08/0.44 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.08/0.44 fof(f140,plain,(
% 0.08/0.44 ![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))),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f139])).
% 0.08/0.44 fof(f143,plain,(
% 0.08/0.44 ![X0]: (ilf_type(X0,set_type))),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f32])).
% 0.08/0.44 fof(f144,plain,(
% 0.08/0.44 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,relation_type(C,B))&(subset(identity_relation_of(C),D)&(~C=domain(C,B,D)|~subset(C,range(C,B,D))))))))))),
% 0.08/0.44 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 0.08/0.44 fof(f145,plain,(
% 0.08/0.44 (ilf_type(sK12_skl,set_type)&(ilf_type(sK13_skl,set_type)&(ilf_type(sK14_skl,relation_type(sK13_skl,sK12_skl))&(subset(identity_relation_of(sK13_skl),sK14_skl)&(~sK13_skl=domain(sK13_skl,sK12_skl,sK14_skl)|~subset(sK13_skl,range(sK13_skl,sK12_skl,sK14_skl)))))))),
% 0.08/0.44 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)],[f144])).
% 0.08/0.44 fof(f148,plain,(
% 0.08/0.44 ilf_type(sK14_skl,relation_type(sK13_skl,sK12_skl))),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f145])).
% 0.08/0.44 fof(f149,plain,(
% 0.08/0.44 subset(identity_relation_of(sK13_skl),sK14_skl)),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f145])).
% 0.08/0.44 fof(f150,plain,(
% 0.08/0.44 ~sK13_skl=domain(sK13_skl,sK12_skl,sK14_skl)|~subset(sK13_skl,range(sK13_skl,sK12_skl,sK14_skl))),
% 0.08/0.44 inference(cnf_transformation,[status(thm)],[f145])).
% 0.08/0.44 fof(f160,plain,(
% 0.08/0.44 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|range(X0,X2,X1)=range_of(X1))),
% 0.08/0.44 inference(backward_subsumption_resolution,[status(thm)],[f140,f143])).
% 0.08/0.44 fof(f161,plain,(
% 0.08/0.44 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|ilf_type(domain(X0,X2,X1),subset_type(X0)))),
% 0.08/0.44 inference(backward_subsumption_resolution,[status(thm)],[f138,f143])).
% 0.08/0.44 fof(f162,plain,(
% 0.08/0.44 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X0,X2))|domain(X0,X2,X1)=domain_of(X1))),
% 0.08/0.44 inference(backward_subsumption_resolution,[status(thm)],[f136,f143])).
% 0.08/0.44 fof(f171,plain,(
% 0.08/0.44 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 0.08/0.44 inference(backward_subsumption_resolution,[status(thm)],[f111,f143])).
% 0.08/0.44 fof(f172,plain,(
% 0.08/0.44 ![X0]: (~empty(power_set(X0)))),
% 0.08/0.44 inference(backward_subsumption_resolution,[status(thm)],[f107,f143])).
% 0.08/0.44 fof(f175,plain,(
% 0.08/0.44 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 0.08/0.44 inference(backward_subsumption_resolution,[status(thm)],[f102,f143])).
% 0.08/0.44 fof(f178,plain,(
% 0.08/0.44 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(X0))|ilf_type(X1,member_type(power_set(X0))))),
% 0.08/0.44 inference(backward_subsumption_resolution,[status(thm)],[f90,f143])).
% 0.08/0.44 fof(f183,plain,(
% 0.08/0.44 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X0,X1)|~member(sK1_skl(X1,X0),X1))),
% 0.08/0.44 inference(backward_subsumption_resolution,[status(thm)],[f59,f143])).
% 0.08/0.44 fof(f184,plain,(
% 0.08/0.44 ![X0,X1]: (~ilf_type(X0,set_type)|subset(X0,X1)|member(sK1_skl(X1,X0),X0))),
% 0.08/0.44 inference(backward_subsumption_resolution,[status(thm)],[f58,f143])).
% 0.08/0.44 fof(f193,plain,(
% 0.08/0.44 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|~subset(identity_relation_of(X3),X2)|subset(X3,range(X0,X1,X2)))),
% 0.08/0.44 inference(backward_subsumption_resolution,[status(thm)],[f39,f143])).
% 0.08/0.44 fof(f194,plain,(
% 0.08/0.44 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|~subset(identity_relation_of(X3),X2)|subset(X3,domain(X0,X1,X2)))),
% 0.08/0.44 inference(backward_subsumption_resolution,[status(thm)],[f38,f143])).
% 0.08/0.44 fof(f195,plain,(
% 0.08/0.44 ![X0,X1]: (~ilf_type(X0,set_type)|~subset(X0,X1)|~subset(X1,X0)|X0=X1)),
% 0.08/0.44 inference(backward_subsumption_resolution,[status(thm)],[f36,f143])).
% 0.08/0.44 fof(f198,plain,(
% 0.08/0.44 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|range(X1,X2,X0)=range_of(X0))),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f160,f143])).
% 0.08/0.44 fof(f199,plain,(
% 0.08/0.44 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|ilf_type(domain(X1,X2,X0),subset_type(X1)))),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f161,f143])).
% 0.08/0.44 fof(f200,plain,(
% 0.08/0.44 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|domain(X1,X2,X0)=domain_of(X0))),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f162,f143])).
% 0.08/0.44 fof(f205,plain,(
% 0.08/0.44 ![X0,X1]: (empty(X0)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f171,f143])).
% 0.08/0.44 fof(f208,plain,(
% 0.08/0.44 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~member(X2,X1)|member(X2,X0))),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f175,f143])).
% 0.08/0.44 fof(f210,plain,(
% 0.08/0.44 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f178,f143])).
% 0.08/0.44 fof(f212,plain,(
% 0.08/0.44 ![X0,X1]: (subset(X0,X1)|~member(sK1_skl(X1,X0),X1))),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f183,f143])).
% 0.08/0.44 fof(f213,plain,(
% 0.08/0.44 ![X0,X1]: (subset(X0,X1)|member(sK1_skl(X1,X0),X0))),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f184,f143])).
% 0.08/0.44 fof(f221,plain,(
% 0.08/0.44 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|~subset(identity_relation_of(X3),X1)|subset(X3,range(X2,X0,X1)))),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f193,f143])).
% 0.08/0.44 fof(f222,plain,(
% 0.08/0.44 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|~subset(identity_relation_of(X3),X1)|subset(X3,domain(X2,X0,X1)))),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f194,f143])).
% 0.08/0.44 fof(f223,plain,(
% 0.08/0.44 ![X0,X1]: (~subset(X0,X1)|~subset(X1,X0)|X0=X1)),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f195,f143])).
% 0.08/0.44 fof(f239,plain,(
% 0.08/0.44 range(sK13_skl,sK12_skl,sK14_skl)=range_of(sK14_skl)),
% 0.08/0.44 inference(resolution,[status(thm)],[f198,f148])).
% 0.08/0.44 fof(f240,plain,(
% 0.08/0.44 ~sK13_skl=domain(sK13_skl,sK12_skl,sK14_skl)|~subset(sK13_skl,range_of(sK14_skl))),
% 0.08/0.44 inference(backward_demodulation,[status(thm)],[f239,f150])).
% 0.08/0.44 fof(f252,plain,(
% 0.08/0.44 domain(sK13_skl,sK12_skl,sK14_skl)=domain_of(sK14_skl)),
% 0.08/0.44 inference(resolution,[status(thm)],[f200,f148])).
% 0.08/0.44 fof(f253,plain,(
% 0.08/0.44 ~sK13_skl=domain_of(sK14_skl)|~subset(sK13_skl,range_of(sK14_skl))),
% 0.08/0.44 inference(backward_demodulation,[status(thm)],[f252,f240])).
% 0.08/0.44 fof(f255,plain,(
% 0.08/0.44 ~ilf_type(sK14_skl,relation_type(sK13_skl,sK12_skl))|ilf_type(domain_of(sK14_skl),subset_type(sK13_skl))),
% 0.08/0.44 inference(paramodulation,[status(thm)],[f252,f199])).
% 0.08/0.44 fof(f256,plain,(
% 0.08/0.44 ilf_type(domain_of(sK14_skl),subset_type(sK13_skl))),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f255,f148])).
% 0.08/0.44 fof(f266,plain,(
% 0.08/0.44 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|empty(power_set(X1))|member(X0,power_set(X1)))),
% 0.08/0.44 inference(resolution,[status(thm)],[f210,f205])).
% 0.08/0.44 fof(f267,plain,(
% 0.08/0.44 ![X0,X1]: (~ilf_type(X0,subset_type(X1))|member(X0,power_set(X1)))),
% 0.08/0.44 inference(forward_subsumption_resolution,[status(thm)],[f266,f172])).
% 0.08/0.44 fof(f268,plain,(
% 0.08/0.44 member(domain_of(sK14_skl),power_set(sK13_skl))),
% 0.08/0.44 inference(resolution,[status(thm)],[f267,f256])).
% 0.08/0.44 fof(f286,plain,(
% 0.08/0.44 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(X2,X0)|member(X2,X1))),
% 0.08/0.45 inference(resolution,[status(thm)],[f208,f143])).
% 0.08/0.45 fof(f337,plain,(
% 0.08/0.45 ![X0,X1,X2]: (~member(X0,power_set(X1))|~member(sK1_skl(X1,X2),X0)|subset(X2,X1))),
% 0.08/0.45 inference(resolution,[status(thm)],[f286,f212])).
% 0.08/0.45 fof(f351,plain,(
% 0.08/0.45 ![X0,X1,X2,X3]: (~ilf_type(X0,relation_type(X1,X2))|~subset(identity_relation_of(X3),X0)|subset(X3,range(X1,X2,X0)))),
% 0.08/0.45 inference(resolution,[status(thm)],[f221,f143])).
% 0.08/0.45 fof(f352,plain,(
% 0.08/0.45 ![X0,X1,X2,X3]: (~ilf_type(X0,relation_type(X1,X2))|~subset(identity_relation_of(X3),X0)|subset(X3,domain(X1,X2,X0)))),
% 0.08/0.45 inference(resolution,[status(thm)],[f222,f143])).
% 0.08/0.45 fof(f525,plain,(
% 0.08/0.45 ![X0,X1]: (~ilf_type(sK14_skl,relation_type(X0,X1))|subset(sK13_skl,range(X0,X1,sK14_skl)))),
% 0.08/0.45 inference(resolution,[status(thm)],[f351,f149])).
% 0.08/0.45 fof(f565,plain,(
% 0.08/0.45 ![X0,X1]: (~ilf_type(sK14_skl,relation_type(X0,X1))|subset(sK13_skl,domain(X0,X1,sK14_skl)))),
% 0.08/0.45 inference(resolution,[status(thm)],[f352,f149])).
% 0.08/0.45 fof(f607,plain,(
% 0.08/0.45 subset(sK13_skl,range(sK13_skl,sK12_skl,sK14_skl))),
% 0.08/0.45 inference(resolution,[status(thm)],[f525,f148])).
% 0.08/0.45 fof(f608,plain,(
% 0.08/0.45 ~sK13_skl=domain_of(sK14_skl)),
% 0.08/0.45 inference(backward_subsumption_resolution,[status(thm)],[f253,f609])).
% 0.08/0.45 fof(f609,plain,(
% 0.08/0.45 subset(sK13_skl,range_of(sK14_skl))),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f239,f607])).
% 0.08/0.45 fof(f621,plain,(
% 0.08/0.45 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1)|subset(X0,X1))),
% 0.08/0.45 inference(resolution,[status(thm)],[f337,f213])).
% 0.08/0.45 fof(f627,plain,(
% 0.08/0.45 ![X0,X1]: (~member(X0,power_set(X1))|subset(X0,X1))),
% 0.08/0.45 inference(duplicate_literals_removal,[status(thm)],[f621])).
% 0.08/0.45 fof(f638,plain,(
% 0.08/0.45 subset(domain_of(sK14_skl),sK13_skl)),
% 0.08/0.45 inference(resolution,[status(thm)],[f627,f268])).
% 0.08/0.45 fof(f674,plain,(
% 0.08/0.45 ~subset(sK13_skl,domain_of(sK14_skl))|sK13_skl=domain_of(sK14_skl)),
% 0.08/0.45 inference(resolution,[status(thm)],[f638,f223])).
% 0.08/0.45 fof(f675,plain,(
% 0.08/0.45 ~subset(sK13_skl,domain_of(sK14_skl))),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f674,f608])).
% 0.08/0.45 fof(f744,plain,(
% 0.08/0.45 subset(sK13_skl,domain(sK13_skl,sK12_skl,sK14_skl))),
% 0.08/0.45 inference(resolution,[status(thm)],[f565,f148])).
% 0.08/0.45 fof(f745,plain,(
% 0.08/0.45 subset(sK13_skl,domain_of(sK14_skl))),
% 0.08/0.45 inference(forward_demodulation,[status(thm)],[f252,f744])).
% 0.08/0.45 fof(f746,plain,(
% 0.08/0.45 $false),
% 0.08/0.45 inference(forward_subsumption_resolution,[status(thm)],[f745,f675])).
% 0.08/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.47 % Elapsed time: 0.106765 seconds
% 0.08/0.47 % CPU time: 0.505970 seconds
% 0.08/0.47 % Total memory used: 91.787 MB
% 0.08/0.47 % Net memory used: 91.195 MB
%------------------------------------------------------------------------------