TSTP Solution File: SET652+3 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n018.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 : Tue Apr 30 20:40:06 EDT 2024
% Result : Theorem 16.46s 2.44s
% Output : CNFRefutation 16.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SET652+3 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 21:52:28 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 16.46/2.44 % Refutation found
% 16.46/2.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.46/2.44 % SZS output start CNFRefutation for theBenchmark
% 16.46/2.44 fof(f1,axiom,(
% 16.46/2.44 (! [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) ) ) )) )) )),
% 16.46/2.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.46/2.44 fof(f2,axiom,(
% 16.46/2.44 (! [B] :( ilf_type(B,binary_relation_type)=> subset(B,cross_product(domain_of(B),range_of(B))) ) )),
% 16.46/2.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.46/2.44 fof(f3,axiom,(
% 16.46/2.44 (! [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)) ) ) )) )) )) )),
% 16.46/2.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.46/2.44 fof(f4,axiom,(
% 16.46/2.44 (! [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))) ) )) ) )) )),
% 16.46/2.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.46/2.44 fof(f6,axiom,(
% 16.46/2.44 (! [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) ) ) )) )) )),
% 16.46/2.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.46/2.44 fof(f9,axiom,(
% 16.46/2.44 (! [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) ) ) )) ) )) )),
% 16.46/2.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.46/2.44 fof(f13,axiom,(
% 16.46/2.44 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 16.46/2.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.46/2.44 fof(f15,axiom,(
% 16.46/2.44 (! [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))) ) ) )) )),
% 16.46/2.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.46/2.44 fof(f18,axiom,(
% 16.46/2.44 (! [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) ) ) )) ) )) )),
% 16.46/2.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.46/2.44 fof(f19,axiom,(
% 16.46/2.44 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 16.46/2.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.46/2.44 fof(f20,axiom,(
% 16.46/2.44 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 16.46/2.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.46/2.44 fof(f23,axiom,(
% 16.46/2.44 (! [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) ) )) )) )),
% 16.46/2.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.46/2.44 fof(f26,axiom,(
% 16.46/2.44 (! [B] : ilf_type(B,set_type) )),
% 16.46/2.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.46/2.44 fof(f27,conjecture,(
% 16.46/2.44 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(D,B))=> ( subset(range_of(E),C)=> ilf_type(E,relation_type(D,C)) ) ) )) )) )) )),
% 16.46/2.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.46/2.44 fof(f28,negated_conjecture,(
% 16.46/2.44 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(D,B))=> ( subset(range_of(E),C)=> ilf_type(E,relation_type(D,C)) ) ) )) )) )) ))),
% 16.46/2.44 inference(negated_conjecture,[status(cth)],[f27])).
% 16.46/2.44 fof(f29,plain,(
% 16.46/2.44 ![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)))))))),
% 16.46/2.44 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 16.46/2.44 fof(f30,plain,(
% 16.46/2.44 ![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))),
% 16.46/2.44 inference(cnf_transformation,[status(esa)],[f29])).
% 16.46/2.46 fof(f31,plain,(
% 16.46/2.46 ![B]: (~ilf_type(B,binary_relation_type)|subset(B,cross_product(domain_of(B),range_of(B))))),
% 16.46/2.46 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 16.46/2.46 fof(f32,plain,(
% 16.46/2.46 ![X0]: (~ilf_type(X0,binary_relation_type)|subset(X0,cross_product(domain_of(X0),range_of(X0))))),
% 16.46/2.46 inference(cnf_transformation,[status(esa)],[f31])).
% 16.46/2.46 fof(f33,plain,(
% 16.46/2.46 ![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))))))))))),
% 16.46/2.46 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 16.46/2.46 fof(f34,plain,(
% 16.46/2.46 ![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)))),
% 16.46/2.46 inference(cnf_transformation,[status(esa)],[f33])).
% 16.46/2.46 fof(f35,plain,(
% 16.46/2.46 ![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)))))))))),
% 16.46/2.46 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 16.46/2.46 fof(f36,plain,(
% 16.46/2.46 ![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)))),
% 16.46/2.46 inference(cnf_transformation,[status(esa)],[f35])).
% 16.46/2.46 fof(f37,plain,(
% 16.46/2.46 ![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))))),
% 16.46/2.46 inference(cnf_transformation,[status(esa)],[f35])).
% 16.46/2.46 fof(f41,plain,(
% 16.46/2.46 ![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)))))))),
% 16.46/2.46 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 16.46/2.46 fof(f42,plain,(
% 16.46/2.46 ![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))),
% 16.46/2.46 inference(cnf_transformation,[status(esa)],[f41])).
% 16.46/2.46 fof(f52,plain,(
% 16.46/2.46 ![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))))))))),
% 16.46/2.46 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 16.46/2.46 fof(f53,plain,(
% 16.46/2.46 ![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)))))))))),
% 16.46/2.46 inference(NNF_transformation,[status(esa)],[f52])).
% 16.46/2.46 fof(f54,plain,(
% 16.46/2.46 ![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))))))))),
% 16.46/2.46 inference(skolemization,[status(esa)],[f53])).
% 16.46/2.46 fof(f55,plain,(
% 16.46/2.46 ![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))),
% 16.46/2.46 inference(cnf_transformation,[status(esa)],[f54])).
% 16.46/2.46 fof(f65,plain,(
% 16.46/2.46 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 16.46/2.46 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 16.46/2.46 fof(f66,plain,(
% 16.46/2.46 ![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)))))),
% 16.46/2.46 inference(NNF_transformation,[status(esa)],[f65])).
% 16.46/2.46 fof(f69,plain,(
% 16.46/2.46 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 16.46/2.46 inference(cnf_transformation,[status(esa)],[f66])).
% 16.46/2.46 fof(f72,plain,(
% 16.46/2.46 ![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)))))))),
% 16.46/2.46 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 16.46/2.46 fof(f73,plain,(
% 16.46/2.46 ![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))))))))),
% 16.46/2.46 inference(NNF_transformation,[status(esa)],[f72])).
% 16.46/2.46 fof(f75,plain,(
% 16.46/2.46 ![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))))),
% 16.46/2.46 inference(cnf_transformation,[status(esa)],[f73])).
% 16.46/2.46 fof(f81,plain,(
% 16.46/2.46 ![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))))))))),
% 16.46/2.46 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 16.46/2.46 fof(f82,plain,(
% 16.46/2.46 ![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)))))))))),
% 16.46/2.46 inference(NNF_transformation,[status(esa)],[f81])).
% 16.46/2.46 fof(f83,plain,(
% 16.46/2.46 ![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))))))))),
% 16.46/2.46 inference(skolemization,[status(esa)],[f82])).
% 16.46/2.46 fof(f86,plain,(
% 16.46/2.46 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|member(sk0_5(X1,X0),X0))),
% 16.46/2.46 inference(cnf_transformation,[status(esa)],[f83])).
% 16.46/2.46 fof(f87,plain,(
% 16.46/2.46 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|member(X0,power_set(X1))|~member(sk0_5(X1,X0),X1))),
% 16.46/2.46 inference(cnf_transformation,[status(esa)],[f83])).
% 16.46/2.46 fof(f88,plain,(
% 16.46/2.46 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 16.46/2.46 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 16.46/2.46 fof(f89,plain,(
% 16.46/2.46 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 16.46/2.46 inference(cnf_transformation,[status(esa)],[f88])).
% 16.46/2.46 fof(f91,plain,(
% 16.46/2.46 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 16.46/2.46 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 16.46/2.46 fof(f92,plain,(
% 16.46/2.46 ![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))))))),
% 16.46/2.46 inference(NNF_transformation,[status(esa)],[f91])).
% 16.46/2.46 fof(f94,plain,(
% 16.46/2.46 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 16.46/2.46 inference(cnf_transformation,[status(esa)],[f92])).
% 16.46/2.46 fof(f107,plain,(
% 16.46/2.46 ![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))))))),
% 16.46/2.46 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 16.46/2.46 fof(f108,plain,(
% 16.46/2.46 ![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))),
% 16.46/2.46 inference(cnf_transformation,[status(esa)],[f107])).
% 16.46/2.46 fof(f117,plain,(
% 16.46/2.46 ![X0]: (ilf_type(X0,set_type))),
% 16.46/2.46 inference(cnf_transformation,[status(esa)],[f26])).
% 16.46/2.46 fof(f118,plain,(
% 16.46/2.46 (?[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)))))))))))),
% 16.46/2.46 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 16.46/2.46 fof(f119,plain,(
% 16.46/2.46 (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)))))))),
% 16.46/2.46 inference(skolemization,[status(esa)],[f118])).
% 16.46/2.46 fof(f123,plain,(
% 16.46/2.46 ilf_type(sk0_14,relation_type(sk0_13,sk0_11))),
% 16.46/2.46 inference(cnf_transformation,[status(esa)],[f119])).
% 16.46/2.46 fof(f124,plain,(
% 16.46/2.46 subset(range_of(sk0_14),sk0_12)),
% 16.46/2.46 inference(cnf_transformation,[status(esa)],[f119])).
% 16.46/2.46 fof(f125,plain,(
% 16.46/2.46 ~ilf_type(sk0_14,relation_type(sk0_13,sk0_12))),
% 16.46/2.46 inference(cnf_transformation,[status(esa)],[f119])).
% 16.46/2.46 fof(f126,plain,(
% 16.46/2.46 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 16.46/2.46 inference(duplicate_literals_removal,[status(esa)],[f69])).
% 16.46/2.46 fof(f129,plain,(
% 16.46/2.46 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X2,X0)|~subset(X0,X1)|subset(X2,X1))),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f30,f117])).
% 16.46/2.46 fof(f130,plain,(
% 16.46/2.46 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~subset(X1,X0)|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f55,f117])).
% 16.46/2.46 fof(f131,plain,(
% 16.46/2.46 ![X0]: (~empty(power_set(X0)))),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f89,f117])).
% 16.46/2.46 fof(f133,plain,(
% 16.46/2.46 ![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)))),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f34,f117])).
% 16.46/2.46 fof(f135,plain,(
% 16.46/2.46 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f126,f117])).
% 16.46/2.46 fof(f148,plain,(
% 16.46/2.46 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|ilf_type(X1,relation_type(X2,X0)))),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f36,f117])).
% 16.46/2.46 fof(f149,plain,(
% 16.46/2.46 ![X0,X1,X2]: (~ilf_type(X0,subset_type(cross_product(X1,X2)))|ilf_type(X0,relation_type(X1,X2)))),
% 16.46/2.46 inference(resolution,[status(thm)],[f148,f117])).
% 16.46/2.46 fof(f150,plain,(
% 16.46/2.46 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(X1,subset_type(cross_product(X2,X0))))),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f37,f117])).
% 16.46/2.46 fof(f151,plain,(
% 16.46/2.46 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|subset(domain_of(X1),X2))),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f42,f117])).
% 16.46/2.46 fof(f152,plain,(
% 16.46/2.46 ~ilf_type(sk0_14,subset_type(cross_product(sk0_13,sk0_12)))),
% 16.46/2.46 inference(resolution,[status(thm)],[f149,f125])).
% 16.46/2.46 fof(f153,plain,(
% 16.46/2.46 spl0_0 <=> ilf_type(sk0_12,set_type)),
% 16.46/2.46 introduced(split_symbol_definition)).
% 16.46/2.46 fof(f155,plain,(
% 16.46/2.46 ~ilf_type(sk0_12,set_type)|spl0_0),
% 16.46/2.46 inference(component_clause,[status(thm)],[f153])).
% 16.46/2.46 fof(f161,plain,(
% 16.46/2.46 $false|spl0_0),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f155,f117])).
% 16.46/2.46 fof(f162,plain,(
% 16.46/2.46 spl0_0),
% 16.46/2.46 inference(contradiction_clause,[status(thm)],[f161])).
% 16.46/2.46 fof(f320,plain,(
% 16.46/2.46 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|relation_like(X1))),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f108,f117])).
% 16.46/2.46 fof(f321,plain,(
% 16.46/2.46 ![X0,X1]: (~ilf_type(X0,set_type)|member(X1,power_set(X0))|member(sk0_5(X0,X1),X1))),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f86,f117])).
% 16.46/2.46 fof(f322,plain,(
% 16.46/2.46 ![X0,X1]: (member(X0,power_set(X1))|member(sk0_5(X1,X0),X0))),
% 16.46/2.46 inference(resolution,[status(thm)],[f321,f117])).
% 16.46/2.46 fof(f323,plain,(
% 16.46/2.46 ![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))),
% 16.46/2.46 inference(resolution,[status(thm)],[f322,f130])).
% 16.46/2.46 fof(f324,plain,(
% 16.46/2.46 ![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))),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f323,f117])).
% 16.46/2.46 fof(f325,plain,(
% 16.46/2.46 ![X0,X1]: (~ilf_type(X0,set_type)|member(X1,power_set(X0))|~member(sk0_5(X0,X1),X0))),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f87,f117])).
% 16.46/2.46 fof(f326,plain,(
% 16.46/2.46 ![X0,X1]: (member(X0,power_set(X1))|~member(sk0_5(X1,X0),X1))),
% 16.46/2.46 inference(resolution,[status(thm)],[f325,f117])).
% 16.46/2.46 fof(f432,plain,(
% 16.46/2.46 ![X0,X1,X2]: (member(X0,power_set(X1))|~subset(X0,X2)|member(sk0_5(X1,X0),X2))),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f324,f117])).
% 16.46/2.46 fof(f433,plain,(
% 16.46/2.46 ![X0,X1]: (member(X0,power_set(X1))|~subset(X0,X1)|member(X0,power_set(X1)))),
% 16.46/2.46 inference(resolution,[status(thm)],[f432,f326])).
% 16.46/2.46 fof(f434,plain,(
% 16.46/2.46 ![X0,X1]: (member(X0,power_set(X1))|~subset(X0,X1))),
% 16.46/2.46 inference(duplicate_literals_removal,[status(esa)],[f433])).
% 16.46/2.46 fof(f589,plain,(
% 16.46/2.46 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f94,f117])).
% 16.46/2.46 fof(f590,plain,(
% 16.46/2.46 ![X0,X1]: (empty(X0)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 16.46/2.46 inference(resolution,[status(thm)],[f589,f117])).
% 16.46/2.46 fof(f611,plain,(
% 16.46/2.46 ![X0,X1]: (~ilf_type(X0,set_type)|ilf_type(X0,subset_type(X1))|~ilf_type(X0,member_type(power_set(X1))))),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f75,f117])).
% 16.46/2.46 fof(f612,plain,(
% 16.46/2.46 ![X0,X1]: (ilf_type(X0,subset_type(X1))|~ilf_type(X0,member_type(power_set(X1))))),
% 16.46/2.46 inference(resolution,[status(thm)],[f611,f117])).
% 16.46/2.46 fof(f615,plain,(
% 16.46/2.46 ![X0,X1]: (ilf_type(X0,subset_type(X1))|empty(power_set(X1))|~member(X0,power_set(X1)))),
% 16.46/2.46 inference(resolution,[status(thm)],[f612,f590])).
% 16.46/2.46 fof(f616,plain,(
% 16.46/2.46 ![X0,X1]: (ilf_type(X0,subset_type(X1))|~member(X0,power_set(X1)))),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f615,f131])).
% 16.46/2.46 fof(f625,plain,(
% 16.46/2.46 ~member(sk0_14,power_set(cross_product(sk0_13,sk0_12)))),
% 16.46/2.46 inference(resolution,[status(thm)],[f616,f152])).
% 16.46/2.46 fof(f635,plain,(
% 16.46/2.46 ~subset(sk0_14,cross_product(sk0_13,sk0_12))),
% 16.46/2.46 inference(resolution,[status(thm)],[f625,f434])).
% 16.46/2.46 fof(f652,plain,(
% 16.46/2.46 spl0_13 <=> ilf_type(cross_product(sk0_13,sk0_12),set_type)),
% 16.46/2.46 introduced(split_symbol_definition)).
% 16.46/2.46 fof(f654,plain,(
% 16.46/2.46 ~ilf_type(cross_product(sk0_13,sk0_12),set_type)|spl0_13),
% 16.46/2.46 inference(component_clause,[status(thm)],[f652])).
% 16.46/2.46 fof(f660,plain,(
% 16.46/2.46 spl0_15 <=> ~ilf_type(X0,set_type)|~subset(sk0_14,X0)|~subset(X0,cross_product(sk0_13,sk0_12))),
% 16.46/2.46 introduced(split_symbol_definition)).
% 16.46/2.46 fof(f661,plain,(
% 16.46/2.46 ![X0]: (~ilf_type(X0,set_type)|~subset(sk0_14,X0)|~subset(X0,cross_product(sk0_13,sk0_12))|~spl0_15)),
% 16.46/2.46 inference(component_clause,[status(thm)],[f660])).
% 16.46/2.46 fof(f663,plain,(
% 16.46/2.46 ![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)))),
% 16.46/2.46 inference(resolution,[status(thm)],[f635,f129])).
% 16.46/2.46 fof(f664,plain,(
% 16.46/2.46 spl0_15|~spl0_13),
% 16.46/2.46 inference(split_clause,[status(thm)],[f663,f660,f652])).
% 16.46/2.46 fof(f665,plain,(
% 16.46/2.46 $false|spl0_13),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f654,f117])).
% 16.46/2.46 fof(f666,plain,(
% 16.46/2.46 spl0_13),
% 16.46/2.46 inference(contradiction_clause,[status(thm)],[f665])).
% 16.46/2.46 fof(f667,plain,(
% 16.46/2.46 ![X0]: (~subset(sk0_14,X0)|~subset(X0,cross_product(sk0_13,sk0_12))|~spl0_15)),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f661,f117])).
% 16.46/2.46 fof(f681,plain,(
% 16.46/2.46 spl0_18 <=> ~subset(sk0_14,cross_product(X0,X1))|~ilf_type(X1,set_type)|~subset(X0,sk0_13)|~subset(X1,sk0_12)),
% 16.46/2.46 introduced(split_symbol_definition)).
% 16.46/2.46 fof(f682,plain,(
% 16.46/2.46 ![X0,X1]: (~subset(sk0_14,cross_product(X0,X1))|~ilf_type(X1,set_type)|~subset(X0,sk0_13)|~subset(X1,sk0_12)|~spl0_18)),
% 16.46/2.46 inference(component_clause,[status(thm)],[f681])).
% 16.46/2.46 fof(f684,plain,(
% 16.46/2.46 spl0_19 <=> ilf_type(sk0_13,set_type)),
% 16.46/2.46 introduced(split_symbol_definition)).
% 16.46/2.46 fof(f686,plain,(
% 16.46/2.46 ~ilf_type(sk0_13,set_type)|spl0_19),
% 16.46/2.46 inference(component_clause,[status(thm)],[f684])).
% 16.46/2.46 fof(f687,plain,(
% 16.46/2.46 ![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_15)),
% 16.46/2.46 inference(resolution,[status(thm)],[f667,f133])).
% 16.46/2.46 fof(f688,plain,(
% 16.46/2.46 spl0_18|~spl0_19|~spl0_0|~spl0_15),
% 16.46/2.46 inference(split_clause,[status(thm)],[f687,f681,f684,f153,f660])).
% 16.46/2.46 fof(f712,plain,(
% 16.46/2.46 $false|spl0_19),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f686,f117])).
% 16.46/2.46 fof(f713,plain,(
% 16.46/2.46 spl0_19),
% 16.46/2.46 inference(contradiction_clause,[status(thm)],[f712])).
% 16.46/2.46 fof(f715,plain,(
% 16.46/2.46 ![X0,X1]: (~subset(sk0_14,cross_product(X0,X1))|~subset(X0,sk0_13)|~subset(X1,sk0_12)|~spl0_18)),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f682,f117])).
% 16.46/2.46 fof(f765,plain,(
% 16.46/2.46 spl0_30 <=> subset(domain_of(sk0_14),sk0_13)),
% 16.46/2.46 introduced(split_symbol_definition)).
% 16.46/2.46 fof(f767,plain,(
% 16.46/2.46 ~subset(domain_of(sk0_14),sk0_13)|spl0_30),
% 16.46/2.46 inference(component_clause,[status(thm)],[f765])).
% 16.46/2.46 fof(f768,plain,(
% 16.46/2.46 spl0_31 <=> subset(range_of(sk0_14),sk0_12)),
% 16.46/2.46 introduced(split_symbol_definition)).
% 16.46/2.46 fof(f770,plain,(
% 16.46/2.46 ~subset(range_of(sk0_14),sk0_12)|spl0_31),
% 16.46/2.46 inference(component_clause,[status(thm)],[f768])).
% 16.46/2.46 fof(f771,plain,(
% 16.46/2.46 spl0_32 <=> ilf_type(sk0_14,binary_relation_type)),
% 16.46/2.46 introduced(split_symbol_definition)).
% 16.46/2.46 fof(f773,plain,(
% 16.46/2.46 ~ilf_type(sk0_14,binary_relation_type)|spl0_32),
% 16.46/2.46 inference(component_clause,[status(thm)],[f771])).
% 16.46/2.46 fof(f774,plain,(
% 16.46/2.46 ~subset(domain_of(sk0_14),sk0_13)|~subset(range_of(sk0_14),sk0_12)|~ilf_type(sk0_14,binary_relation_type)|~spl0_18),
% 16.46/2.46 inference(resolution,[status(thm)],[f715,f32])).
% 16.46/2.46 fof(f775,plain,(
% 16.46/2.46 ~spl0_30|~spl0_31|~spl0_32|~spl0_18),
% 16.46/2.46 inference(split_clause,[status(thm)],[f774,f765,f768,f771,f681])).
% 16.46/2.46 fof(f787,plain,(
% 16.46/2.46 ~relation_like(sk0_14)|spl0_32),
% 16.46/2.46 inference(resolution,[status(thm)],[f773,f135])).
% 16.46/2.46 fof(f788,plain,(
% 16.46/2.46 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(sk0_14,subset_type(cross_product(X1,X0)))|spl0_32)),
% 16.46/2.46 inference(resolution,[status(thm)],[f787,f320])).
% 16.46/2.46 fof(f789,plain,(
% 16.46/2.46 ![X0,X1]: (~ilf_type(sk0_14,subset_type(cross_product(X0,X1)))|spl0_32)),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f788,f117])).
% 16.46/2.46 fof(f802,plain,(
% 16.46/2.46 $false|spl0_31),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f770,f124])).
% 16.46/2.46 fof(f803,plain,(
% 16.46/2.46 spl0_31),
% 16.46/2.46 inference(contradiction_clause,[status(thm)],[f802])).
% 16.46/2.46 fof(f805,plain,(
% 16.46/2.46 ![X0]: (~ilf_type(X0,set_type)|~ilf_type(sk0_14,relation_type(sk0_13,X0))|spl0_30)),
% 16.46/2.46 inference(resolution,[status(thm)],[f767,f151])).
% 16.46/2.46 fof(f806,plain,(
% 16.46/2.46 ![X0]: (~ilf_type(sk0_14,relation_type(sk0_13,X0))|spl0_30)),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f805,f117])).
% 16.46/2.46 fof(f849,plain,(
% 16.46/2.46 $false|spl0_30),
% 16.46/2.46 inference(backward_subsumption_resolution,[status(thm)],[f123,f806])).
% 16.46/2.46 fof(f850,plain,(
% 16.46/2.46 spl0_30),
% 16.46/2.46 inference(contradiction_clause,[status(thm)],[f849])).
% 16.46/2.46 fof(f858,plain,(
% 16.46/2.46 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(sk0_14,relation_type(X1,X0))|spl0_32)),
% 16.46/2.46 inference(resolution,[status(thm)],[f789,f150])).
% 16.46/2.46 fof(f859,plain,(
% 16.46/2.46 ![X0,X1]: (~ilf_type(sk0_14,relation_type(X0,X1))|spl0_32)),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f858,f117])).
% 16.46/2.46 fof(f969,plain,(
% 16.46/2.46 $false|spl0_32),
% 16.46/2.46 inference(forward_subsumption_resolution,[status(thm)],[f123,f859])).
% 16.46/2.46 fof(f970,plain,(
% 16.46/2.46 spl0_32),
% 16.46/2.46 inference(contradiction_clause,[status(thm)],[f969])).
% 16.46/2.46 fof(f971,plain,(
% 16.46/2.46 $false),
% 16.46/2.46 inference(sat_refutation,[status(thm)],[f162,f664,f666,f688,f713,f775,f803,f850,f970])).
% 16.46/2.46 % SZS output end CNFRefutation for theBenchmark.p
% 16.46/2.49 % Elapsed time: 2.124829 seconds
% 16.46/2.49 % CPU time: 16.700364 seconds
% 16.46/2.49 % Total memory used: 198.755 MB
% 16.46/2.49 % Net memory used: 194.288 MB
%------------------------------------------------------------------------------