TSTP Solution File: SET652+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET652+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:34:56 EDT 2023
% Result : Theorem 23.67s 3.37s
% Output : CNFRefutation 23.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET652+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 30 10:16:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 23.67/3.37 % Refutation found
% 23.67/3.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 23.67/3.37 % SZS output start CNFRefutation for theBenchmark
% 23.67/3.37 fof(f1,axiom,(
% 23.67/3.37 (! [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) ) ) )) )) )),
% 23.67/3.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.67/3.37 fof(f2,axiom,(
% 23.67/3.37 (! [B] :( ilf_type(B,binary_relation_type)=> subset(B,cross_product(domain_of(B),range_of(B))) ) )),
% 23.67/3.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.67/3.37 fof(f3,axiom,(
% 23.67/3.37 (! [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)) ) ) )) )) )) )),
% 23.67/3.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.67/3.37 fof(f4,axiom,(
% 23.67/3.37 (! [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))) ) )) ) )) )),
% 23.67/3.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.67/3.37 fof(f6,axiom,(
% 23.67/3.37 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> ( subset(domain_of(D),B)& subset(range_of(D),C) ) ) )) )) )),
% 23.67/3.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.67/3.37 fof(f9,axiom,(
% 23.67/3.37 (! [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) ) ) )) ) )) )),
% 23.67/3.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.67/3.37 fof(f13,axiom,(
% 23.67/3.37 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 23.67/3.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.67/3.37 fof(f15,axiom,(
% 23.67/3.37 (! [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))) ) ) )) )),
% 23.67/3.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.67/3.37 fof(f18,axiom,(
% 23.67/3.37 (! [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) ) ) )) ) )) )),
% 23.67/3.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.67/3.37 fof(f19,axiom,(
% 23.67/3.37 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 23.67/3.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.67/3.37 fof(f20,axiom,(
% 23.67/3.37 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 23.67/3.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.67/3.37 fof(f23,axiom,(
% 23.67/3.37 (! [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) ) )) )) )),
% 23.67/3.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.67/3.37 fof(f26,axiom,(
% 23.67/3.37 (! [B] : ilf_type(B,set_type) )),
% 23.67/3.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.67/3.37 fof(f27,conjecture,(
% 23.67/3.37 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(D,B))=> ( subset(range_of(E),C)=> ilf_type(E,relation_type(D,C)) ) ) )) )) )) )),
% 23.67/3.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.67/3.37 fof(f28,negated_conjecture,(
% 23.67/3.37 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(D,B))=> ( subset(range_of(E),C)=> ilf_type(E,relation_type(D,C)) ) ) )) )) )) ))),
% 23.67/3.37 inference(negated_conjecture,[status(cth)],[f27])).
% 23.67/3.37 fof(f29,plain,(
% 23.67/3.37 ![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)))))))),
% 23.67/3.37 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 23.67/3.37 fof(f30,plain,(
% 23.67/3.37 ![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))),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f29])).
% 23.67/3.37 fof(f31,plain,(
% 23.67/3.37 ![B]: (~ilf_type(B,binary_relation_type)|subset(B,cross_product(domain_of(B),range_of(B))))),
% 23.67/3.37 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 23.67/3.37 fof(f32,plain,(
% 23.67/3.37 ![X0]: (~ilf_type(X0,binary_relation_type)|subset(X0,cross_product(domain_of(X0),range_of(X0))))),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f31])).
% 23.67/3.37 fof(f33,plain,(
% 23.67/3.37 ![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))))))))))),
% 23.67/3.37 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 23.67/3.37 fof(f34,plain,(
% 23.67/3.37 ![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)))),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f33])).
% 23.67/3.37 fof(f35,plain,(
% 23.67/3.37 ![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)))))))))),
% 23.67/3.37 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 23.67/3.37 fof(f36,plain,(
% 23.67/3.37 ![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)))),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f35])).
% 23.67/3.37 fof(f37,plain,(
% 23.67/3.37 ![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))))),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f35])).
% 23.67/3.37 fof(f41,plain,(
% 23.67/3.37 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|(subset(domain_of(D),B)&subset(range_of(D),C)))))))),
% 23.67/3.37 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 23.67/3.37 fof(f42,plain,(
% 23.67/3.37 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|subset(domain_of(X2),X0))),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f41])).
% 23.67/3.37 fof(f52,plain,(
% 23.67/3.37 ![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))))))))),
% 23.67/3.37 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 23.67/3.37 fof(f53,plain,(
% 23.67/3.37 ![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)))))))))),
% 23.67/3.37 inference(NNF_transformation,[status(esa)],[f52])).
% 23.67/3.37 fof(f54,plain,(
% 23.67/3.37 ![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(sk0_2(C,B),set_type)&(member(sk0_2(C,B),B)&~member(sk0_2(C,B),C))))))))),
% 23.67/3.37 inference(skolemization,[status(esa)],[f53])).
% 23.67/3.37 fof(f55,plain,(
% 23.67/3.37 ![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))),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f54])).
% 23.67/3.37 fof(f65,plain,(
% 23.67/3.37 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 23.67/3.37 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 23.67/3.37 fof(f66,plain,(
% 23.67/3.37 ![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)))))),
% 23.67/3.37 inference(NNF_transformation,[status(esa)],[f65])).
% 23.67/3.37 fof(f69,plain,(
% 23.67/3.37 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f66])).
% 23.67/3.37 fof(f72,plain,(
% 23.67/3.37 ![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)))))))),
% 23.67/3.37 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 23.67/3.37 fof(f73,plain,(
% 23.67/3.37 ![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))))))))),
% 23.67/3.37 inference(NNF_transformation,[status(esa)],[f72])).
% 23.67/3.37 fof(f75,plain,(
% 23.67/3.37 ![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))))),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f73])).
% 23.67/3.37 fof(f81,plain,(
% 23.67/3.37 ![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))))))))),
% 23.67/3.37 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 23.67/3.37 fof(f82,plain,(
% 23.67/3.37 ![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)))))))))),
% 23.67/3.37 inference(NNF_transformation,[status(esa)],[f81])).
% 23.67/3.37 fof(f83,plain,(
% 23.67/3.37 ![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(sk0_5(C,B),set_type)&(member(sk0_5(C,B),B)&~member(sk0_5(C,B),C))))))))),
% 23.67/3.37 inference(skolemization,[status(esa)],[f82])).
% 23.67/3.37 fof(f86,plain,(
% 23.67/3.37 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|member(sk0_5(X1,X0),X0))),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f83])).
% 23.67/3.37 fof(f87,plain,(
% 23.67/3.37 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|~member(sk0_5(X1,X0),X1))),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f83])).
% 23.67/3.37 fof(f88,plain,(
% 23.67/3.37 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 23.67/3.37 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 23.67/3.37 fof(f89,plain,(
% 23.67/3.37 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f88])).
% 23.67/3.37 fof(f91,plain,(
% 23.67/3.37 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 23.67/3.37 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 23.67/3.37 fof(f92,plain,(
% 23.67/3.37 ![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))))))),
% 23.67/3.37 inference(NNF_transformation,[status(esa)],[f91])).
% 23.67/3.37 fof(f94,plain,(
% 23.67/3.37 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f92])).
% 23.67/3.37 fof(f107,plain,(
% 23.67/3.37 ![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))))))),
% 23.67/3.37 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 23.67/3.37 fof(f108,plain,(
% 23.67/3.37 ![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))),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f107])).
% 23.67/3.37 fof(f117,plain,(
% 23.67/3.37 ![X0]: (ilf_type(X0,set_type))),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f26])).
% 23.67/3.37 fof(f118,plain,(
% 23.67/3.37 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,set_type)&(?[E]: (ilf_type(E,relation_type(D,B))&(subset(range_of(E),C)&~ilf_type(E,relation_type(D,C)))))))))))),
% 23.67/3.37 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 23.67/3.37 fof(f119,plain,(
% 23.67/3.37 (ilf_type(sk0_11,set_type)&(ilf_type(sk0_12,set_type)&(ilf_type(sk0_13,set_type)&(ilf_type(sk0_14,relation_type(sk0_13,sk0_11))&(subset(range_of(sk0_14),sk0_12)&~ilf_type(sk0_14,relation_type(sk0_13,sk0_12)))))))),
% 23.67/3.37 inference(skolemization,[status(esa)],[f118])).
% 23.67/3.37 fof(f123,plain,(
% 23.67/3.37 ilf_type(sk0_14,relation_type(sk0_13,sk0_11))),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f119])).
% 23.67/3.37 fof(f124,plain,(
% 23.67/3.37 subset(range_of(sk0_14),sk0_12)),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f119])).
% 23.67/3.37 fof(f125,plain,(
% 23.67/3.37 ~ilf_type(sk0_14,relation_type(sk0_13,sk0_12))),
% 23.67/3.37 inference(cnf_transformation,[status(esa)],[f119])).
% 23.67/3.37 fof(f126,plain,(
% 23.67/3.37 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 23.67/3.37 inference(duplicate_literals_removal,[status(esa)],[f69])).
% 23.67/3.37 fof(f129,plain,(
% 23.67/3.37 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X2,X0)|~subset(X0,X1)|subset(X2,X1))),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f30,f117])).
% 23.67/3.37 fof(f130,plain,(
% 23.67/3.37 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~subset(X1,X0)|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f55,f117])).
% 23.67/3.37 fof(f131,plain,(
% 23.67/3.37 ![X0]: (~empty(power_set(X0)))),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f89,f117])).
% 23.67/3.37 fof(f133,plain,(
% 23.67/3.37 ![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)))),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f34,f117])).
% 23.67/3.37 fof(f135,plain,(
% 23.67/3.37 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f126,f117])).
% 23.67/3.37 fof(f148,plain,(
% 23.67/3.37 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|ilf_type(X1,relation_type(X2,X0)))),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f36,f117])).
% 23.67/3.37 fof(f149,plain,(
% 23.67/3.37 ![X0,X1,X2]: (~ilf_type(X0,subset_type(cross_product(X1,X2)))|ilf_type(X0,relation_type(X1,X2)))),
% 23.67/3.37 inference(resolution,[status(thm)],[f148,f117])).
% 23.67/3.37 fof(f150,plain,(
% 23.67/3.37 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(X1,subset_type(cross_product(X2,X0))))),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f37,f117])).
% 23.67/3.37 fof(f151,plain,(
% 23.67/3.37 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|subset(domain_of(X1),X2))),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f42,f117])).
% 23.67/3.37 fof(f152,plain,(
% 23.67/3.37 ~ilf_type(sk0_14,subset_type(cross_product(sk0_13,sk0_12)))),
% 23.67/3.37 inference(resolution,[status(thm)],[f149,f125])).
% 23.67/3.37 fof(f153,plain,(
% 23.67/3.37 spl0_0 <=> ilf_type(sk0_12,set_type)),
% 23.67/3.37 introduced(split_symbol_definition)).
% 23.67/3.37 fof(f155,plain,(
% 23.67/3.37 ~ilf_type(sk0_12,set_type)|spl0_0),
% 23.67/3.37 inference(component_clause,[status(thm)],[f153])).
% 23.67/3.37 fof(f161,plain,(
% 23.67/3.37 $false|spl0_0),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f155,f117])).
% 23.67/3.37 fof(f162,plain,(
% 23.67/3.37 spl0_0),
% 23.67/3.37 inference(contradiction_clause,[status(thm)],[f161])).
% 23.67/3.37 fof(f320,plain,(
% 23.67/3.37 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|relation_like(X1))),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f108,f117])).
% 23.67/3.37 fof(f321,plain,(
% 23.67/3.37 ![X0,X1]: (~ilf_type(X0,set_type)|member(X1,power_set(X0))|member(sk0_5(X0,X1),X1))),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f86,f117])).
% 23.67/3.37 fof(f322,plain,(
% 23.67/3.37 ![X0,X1]: (member(X0,power_set(X1))|member(sk0_5(X1,X0),X0))),
% 23.67/3.37 inference(resolution,[status(thm)],[f321,f117])).
% 23.67/3.37 fof(f323,plain,(
% 23.67/3.37 ![X0,X1,X2]: (member(X0,power_set(X1))|~ilf_type(X2,set_type)|~subset(X0,X2)|~ilf_type(sk0_5(X1,X0),set_type)|member(sk0_5(X1,X0),X2))),
% 23.67/3.37 inference(resolution,[status(thm)],[f322,f130])).
% 23.67/3.37 fof(f324,plain,(
% 23.67/3.37 ![X0,X1,X2]: (member(X0,power_set(X1))|~subset(X0,X2)|~ilf_type(sk0_5(X1,X0),set_type)|member(sk0_5(X1,X0),X2))),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f323,f117])).
% 23.67/3.37 fof(f325,plain,(
% 23.67/3.37 ![X0,X1]: (~ilf_type(X0,set_type)|member(X1,power_set(X0))|~member(sk0_5(X0,X1),X0))),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f87,f117])).
% 23.67/3.37 fof(f326,plain,(
% 23.67/3.37 ![X0,X1]: (member(X0,power_set(X1))|~member(sk0_5(X1,X0),X1))),
% 23.67/3.37 inference(resolution,[status(thm)],[f325,f117])).
% 23.67/3.37 fof(f439,plain,(
% 23.67/3.37 ![X0,X1,X2]: (member(X0,power_set(X1))|~subset(X0,X2)|member(sk0_5(X1,X0),X2))),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f324,f117])).
% 23.67/3.37 fof(f440,plain,(
% 23.67/3.37 ![X0,X1]: (member(X0,power_set(X1))|~subset(X0,X1)|member(X0,power_set(X1)))),
% 23.67/3.37 inference(resolution,[status(thm)],[f439,f326])).
% 23.67/3.37 fof(f441,plain,(
% 23.67/3.37 ![X0,X1]: (member(X0,power_set(X1))|~subset(X0,X1))),
% 23.67/3.37 inference(duplicate_literals_removal,[status(esa)],[f440])).
% 23.67/3.37 fof(f603,plain,(
% 23.67/3.37 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f94,f117])).
% 23.67/3.37 fof(f604,plain,(
% 23.67/3.37 ![X0,X1]: (empty(X0)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 23.67/3.37 inference(resolution,[status(thm)],[f603,f117])).
% 23.67/3.37 fof(f622,plain,(
% 23.67/3.37 ![X0,X1]: (~ilf_type(X0,set_type)|ilf_type(X0,subset_type(X1))|~ilf_type(X0,member_type(power_set(X1))))),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f75,f117])).
% 23.67/3.37 fof(f623,plain,(
% 23.67/3.37 ![X0,X1]: (ilf_type(X0,subset_type(X1))|~ilf_type(X0,member_type(power_set(X1))))),
% 23.67/3.37 inference(resolution,[status(thm)],[f622,f117])).
% 23.67/3.37 fof(f629,plain,(
% 23.67/3.37 ![X0,X1]: (ilf_type(X0,subset_type(X1))|empty(power_set(X1))|~member(X0,power_set(X1)))),
% 23.67/3.37 inference(resolution,[status(thm)],[f623,f604])).
% 23.67/3.37 fof(f630,plain,(
% 23.67/3.37 ![X0,X1]: (ilf_type(X0,subset_type(X1))|~member(X0,power_set(X1)))),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f629,f131])).
% 23.67/3.37 fof(f642,plain,(
% 23.67/3.37 ~member(sk0_14,power_set(cross_product(sk0_13,sk0_12)))),
% 23.67/3.37 inference(resolution,[status(thm)],[f630,f152])).
% 23.67/3.37 fof(f652,plain,(
% 23.67/3.37 ~subset(sk0_14,cross_product(sk0_13,sk0_12))),
% 23.67/3.37 inference(resolution,[status(thm)],[f642,f441])).
% 23.67/3.37 fof(f671,plain,(
% 23.67/3.37 spl0_14 <=> ilf_type(cross_product(sk0_13,sk0_12),set_type)),
% 23.67/3.37 introduced(split_symbol_definition)).
% 23.67/3.37 fof(f673,plain,(
% 23.67/3.37 ~ilf_type(cross_product(sk0_13,sk0_12),set_type)|spl0_14),
% 23.67/3.37 inference(component_clause,[status(thm)],[f671])).
% 23.67/3.37 fof(f679,plain,(
% 23.67/3.37 spl0_16 <=> ~ilf_type(X0,set_type)|~subset(sk0_14,X0)|~subset(X0,cross_product(sk0_13,sk0_12))),
% 23.67/3.37 introduced(split_symbol_definition)).
% 23.67/3.37 fof(f680,plain,(
% 23.67/3.37 ![X0]: (~ilf_type(X0,set_type)|~subset(sk0_14,X0)|~subset(X0,cross_product(sk0_13,sk0_12))|~spl0_16)),
% 23.67/3.37 inference(component_clause,[status(thm)],[f679])).
% 23.67/3.37 fof(f682,plain,(
% 23.67/3.37 ![X0]: (~ilf_type(X0,set_type)|~ilf_type(cross_product(sk0_13,sk0_12),set_type)|~subset(sk0_14,X0)|~subset(X0,cross_product(sk0_13,sk0_12)))),
% 23.67/3.37 inference(resolution,[status(thm)],[f652,f129])).
% 23.67/3.37 fof(f683,plain,(
% 23.67/3.37 spl0_16|~spl0_14),
% 23.67/3.37 inference(split_clause,[status(thm)],[f682,f679,f671])).
% 23.67/3.37 fof(f684,plain,(
% 23.67/3.37 $false|spl0_14),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f673,f117])).
% 23.67/3.37 fof(f685,plain,(
% 23.67/3.37 spl0_14),
% 23.67/3.37 inference(contradiction_clause,[status(thm)],[f684])).
% 23.67/3.37 fof(f686,plain,(
% 23.67/3.37 ![X0]: (~subset(sk0_14,X0)|~subset(X0,cross_product(sk0_13,sk0_12))|~spl0_16)),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f680,f117])).
% 23.67/3.37 fof(f700,plain,(
% 23.67/3.37 spl0_19 <=> ~subset(sk0_14,cross_product(X0,X1))|~ilf_type(X1,set_type)|~subset(X0,sk0_13)|~subset(X1,sk0_12)),
% 23.67/3.37 introduced(split_symbol_definition)).
% 23.67/3.37 fof(f701,plain,(
% 23.67/3.37 ![X0,X1]: (~subset(sk0_14,cross_product(X0,X1))|~ilf_type(X1,set_type)|~subset(X0,sk0_13)|~subset(X1,sk0_12)|~spl0_19)),
% 23.67/3.37 inference(component_clause,[status(thm)],[f700])).
% 23.67/3.37 fof(f703,plain,(
% 23.67/3.37 spl0_20 <=> ilf_type(sk0_13,set_type)),
% 23.67/3.37 introduced(split_symbol_definition)).
% 23.67/3.37 fof(f705,plain,(
% 23.67/3.37 ~ilf_type(sk0_13,set_type)|spl0_20),
% 23.67/3.37 inference(component_clause,[status(thm)],[f703])).
% 23.67/3.37 fof(f706,plain,(
% 23.67/3.37 ![X0,X1]: (~subset(sk0_14,cross_product(X0,X1))|~ilf_type(sk0_13,set_type)|~ilf_type(X1,set_type)|~ilf_type(sk0_12,set_type)|~subset(X0,sk0_13)|~subset(X1,sk0_12)|~spl0_16)),
% 23.67/3.37 inference(resolution,[status(thm)],[f686,f133])).
% 23.67/3.37 fof(f707,plain,(
% 23.67/3.37 spl0_19|~spl0_20|~spl0_0|~spl0_16),
% 23.67/3.37 inference(split_clause,[status(thm)],[f706,f700,f703,f153,f679])).
% 23.67/3.37 fof(f731,plain,(
% 23.67/3.37 $false|spl0_20),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f705,f117])).
% 23.67/3.37 fof(f732,plain,(
% 23.67/3.37 spl0_20),
% 23.67/3.37 inference(contradiction_clause,[status(thm)],[f731])).
% 23.67/3.37 fof(f734,plain,(
% 23.67/3.37 ![X0,X1]: (~subset(sk0_14,cross_product(X0,X1))|~subset(X0,sk0_13)|~subset(X1,sk0_12)|~spl0_19)),
% 23.67/3.37 inference(forward_subsumption_resolution,[status(thm)],[f701,f117])).
% 23.67/3.37 fof(f784,plain,(
% 23.67/3.37 spl0_31 <=> subset(domain_of(sk0_14),sk0_13)),
% 23.67/3.37 introduced(split_symbol_definition)).
% 23.67/3.37 fof(f786,plain,(
% 23.67/3.37 ~subset(domain_of(sk0_14),sk0_13)|spl0_31),
% 23.67/3.37 inference(component_clause,[status(thm)],[f784])).
% 23.67/3.37 fof(f787,plain,(
% 23.67/3.37 spl0_32 <=> subset(range_of(sk0_14),sk0_12)),
% 23.67/3.37 introduced(split_symbol_definition)).
% 23.67/3.37 fof(f789,plain,(
% 23.67/3.37 ~subset(range_of(sk0_14),sk0_12)|spl0_32),
% 23.67/3.37 inference(component_clause,[status(thm)],[f787])).
% 23.67/3.37 fof(f790,plain,(
% 23.67/3.37 spl0_33 <=> ilf_type(sk0_14,binary_relation_type)),
% 23.67/3.37 introduced(split_symbol_definition)).
% 23.67/3.38 fof(f792,plain,(
% 23.67/3.38 ~ilf_type(sk0_14,binary_relation_type)|spl0_33),
% 23.67/3.38 inference(component_clause,[status(thm)],[f790])).
% 23.67/3.38 fof(f793,plain,(
% 23.67/3.38 ~subset(domain_of(sk0_14),sk0_13)|~subset(range_of(sk0_14),sk0_12)|~ilf_type(sk0_14,binary_relation_type)|~spl0_19),
% 23.67/3.38 inference(resolution,[status(thm)],[f734,f32])).
% 23.67/3.38 fof(f794,plain,(
% 23.67/3.38 ~spl0_31|~spl0_32|~spl0_33|~spl0_19),
% 23.67/3.38 inference(split_clause,[status(thm)],[f793,f784,f787,f790,f700])).
% 23.67/3.38 fof(f830,plain,(
% 23.67/3.38 ~relation_like(sk0_14)|spl0_33),
% 23.67/3.38 inference(resolution,[status(thm)],[f792,f135])).
% 23.67/3.38 fof(f831,plain,(
% 23.67/3.38 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(sk0_14,subset_type(cross_product(X1,X0)))|spl0_33)),
% 23.67/3.38 inference(resolution,[status(thm)],[f830,f320])).
% 23.67/3.38 fof(f832,plain,(
% 23.67/3.38 ![X0,X1]: (~ilf_type(sk0_14,subset_type(cross_product(X0,X1)))|spl0_33)),
% 23.67/3.38 inference(forward_subsumption_resolution,[status(thm)],[f831,f117])).
% 23.67/3.38 fof(f845,plain,(
% 23.67/3.38 $false|spl0_32),
% 23.67/3.38 inference(forward_subsumption_resolution,[status(thm)],[f789,f124])).
% 23.67/3.38 fof(f846,plain,(
% 23.67/3.38 spl0_32),
% 23.67/3.38 inference(contradiction_clause,[status(thm)],[f845])).
% 23.67/3.38 fof(f848,plain,(
% 23.67/3.38 ![X0]: (~ilf_type(X0,set_type)|~ilf_type(sk0_14,relation_type(sk0_13,X0))|spl0_31)),
% 23.67/3.38 inference(resolution,[status(thm)],[f786,f151])).
% 23.67/3.38 fof(f849,plain,(
% 23.67/3.38 ![X0]: (~ilf_type(sk0_14,relation_type(sk0_13,X0))|spl0_31)),
% 23.67/3.38 inference(forward_subsumption_resolution,[status(thm)],[f848,f117])).
% 23.67/3.38 fof(f868,plain,(
% 23.67/3.38 $false|spl0_31),
% 23.67/3.38 inference(backward_subsumption_resolution,[status(thm)],[f123,f849])).
% 23.67/3.38 fof(f869,plain,(
% 23.67/3.38 spl0_31),
% 23.67/3.38 inference(contradiction_clause,[status(thm)],[f868])).
% 23.67/3.38 fof(f877,plain,(
% 23.67/3.38 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(sk0_14,relation_type(X1,X0))|spl0_33)),
% 23.67/3.38 inference(resolution,[status(thm)],[f832,f150])).
% 23.67/3.38 fof(f878,plain,(
% 23.67/3.38 ![X0,X1]: (~ilf_type(sk0_14,relation_type(X0,X1))|spl0_33)),
% 23.67/3.38 inference(forward_subsumption_resolution,[status(thm)],[f877,f117])).
% 23.67/3.38 fof(f952,plain,(
% 23.67/3.38 $false|spl0_33),
% 23.67/3.38 inference(forward_subsumption_resolution,[status(thm)],[f123,f878])).
% 23.67/3.38 fof(f953,plain,(
% 23.67/3.38 spl0_33),
% 23.67/3.38 inference(contradiction_clause,[status(thm)],[f952])).
% 23.67/3.38 fof(f954,plain,(
% 23.67/3.38 $false),
% 23.67/3.38 inference(sat_refutation,[status(thm)],[f162,f683,f685,f707,f732,f794,f846,f869,f953])).
% 23.67/3.38 % SZS output end CNFRefutation for theBenchmark.p
% 23.88/3.43 % Elapsed time: 3.064316 seconds
% 23.88/3.43 % CPU time: 24.001180 seconds
% 23.88/3.43 % Memory used: 154.213 MB
%------------------------------------------------------------------------------