TSTP Solution File: SET686+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET686+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:35:01 EDT 2023
% Result : Theorem 7.99s 1.44s
% Output : CNFRefutation 8.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET686+3 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31 % Computer : n019.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue May 30 10:15:25 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Drodi V3.5.1
% 7.99/1.44 % Refutation found
% 7.99/1.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.99/1.44 % SZS output start CNFRefutation for theBenchmark
% 7.99/1.44 fof(f1,axiom,(
% 7.99/1.44 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,binary_relation_type)=> ( member(C,inverse2(D,B))<=> (? [E] :( ilf_type(E,set_type)& member(ordered_pair(C,E),D)& member(E,B) ) )) ) )) )) )),
% 7.99/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.44 fof(f2,axiom,(
% 7.99/1.44 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,set_type)=> (! [F] :( ilf_type(F,relation_type(B,C))=> ( member(ordered_pair(D,E),F)=> ( member(D,B)& member(E,C) ) ) ) )) )) )) )) )),
% 7.99/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.44 fof(f3,axiom,(
% 7.99/1.44 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,set_type)=> (! [F] :( ilf_type(F,set_type)=> ( F = ordered_pair(D,E)<=> F = unordered_pair(unordered_pair(D,E),singleton(D)) ) ) )) )) )) )) )),
% 7.99/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.44 fof(f5,axiom,(
% 7.99/1.44 (! [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))) ) )) ) )) )),
% 7.99/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.44 fof(f7,axiom,(
% 7.99/1.44 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 7.99/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.44 fof(f9,axiom,(
% 7.99/1.44 (! [B] :( ilf_type(B,set_type)=> ( empty(B)<=> (! [C] :( ilf_type(C,set_type)=> ~ member(C,B) ) )) ) )),
% 7.99/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.44 fof(f14,axiom,(
% 7.99/1.44 (! [B] :( ilf_type(B,set_type)=> (! [C] : ilf_type(C,set_type) )) )),
% 7.99/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.44 fof(f15,axiom,(
% 7.99/1.44 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 7.99/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.44 fof(f17,axiom,(
% 7.99/1.44 (! [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))) ) ) )) )),
% 7.99/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.44 fof(f19,axiom,(
% 7.99/1.44 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> ( B = C<=> (! [D] :( ilf_type(D,set_type)=> ( member(D,B)<=> member(D,C) ) ) )) ) )) )),
% 7.99/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.44 fof(f20,axiom,(
% 7.99/1.44 (! [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) ) ) )) ) )) )),
% 7.99/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.44 fof(f21,axiom,(
% 7.99/1.44 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 7.99/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.44 fof(f24,axiom,(
% 7.99/1.44 (! [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) ) )) )) )),
% 7.99/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.44 fof(f25,axiom,(
% 7.99/1.44 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> (! [E] :( ilf_type(E,set_type)=> inverse4(B,C,D,E) = inverse2(D,E) ) )) )) )) )),
% 7.99/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.44 fof(f26,axiom,(
% 7.99/1.44 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> (! [E] :( ilf_type(E,set_type)=> ilf_type(inverse4(B,C,D,E),subset_type(B)) ) )) )) )) )),
% 7.99/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.44 fof(f27,axiom,(
% 7.99/1.44 (! [B] : ilf_type(B,set_type) )),
% 7.99/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.99/1.44 fof(f28,conjecture,(
% 7.99/1.44 (! [B] :( ( ~ empty(B)& ilf_type(B,set_type) )=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> (! [D] :( ( ~ empty(D)& ilf_type(D,set_type) )=> (! [E] :( ilf_type(E,relation_type(B,D))=> (! [F] :( ilf_type(F,member_type(B))=> ( member(F,inverse4(B,D,E,C))<=> (? [G] :( ilf_type(G,member_type(D))& member(ordered_pair(F,G),E)& member(G,C) ) )) ) )) )) )) )) )),
% 8.49/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.45 fof(f29,negated_conjecture,(
% 8.49/1.45 ~((! [B] :( ( ~ empty(B)& ilf_type(B,set_type) )=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> (! [D] :( ( ~ empty(D)& ilf_type(D,set_type) )=> (! [E] :( ilf_type(E,relation_type(B,D))=> (! [F] :( ilf_type(F,member_type(B))=> ( member(F,inverse4(B,D,E,C))<=> (? [G] :( ilf_type(G,member_type(D))& member(ordered_pair(F,G),E)& member(G,C) ) )) ) )) )) )) )) ))),
% 8.49/1.45 inference(negated_conjecture,[status(cth)],[f28])).
% 8.49/1.45 fof(f30,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,binary_relation_type)|(member(C,inverse2(D,B))<=>(?[E]: ((ilf_type(E,set_type)&member(ordered_pair(C,E),D))&member(E,B)))))))))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 8.49/1.45 fof(f31,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,binary_relation_type)|((~member(C,inverse2(D,B))|(?[E]: ((ilf_type(E,set_type)&member(ordered_pair(C,E),D))&member(E,B))))&(member(C,inverse2(D,B))|(![E]: ((~ilf_type(E,set_type)|~member(ordered_pair(C,E),D))|~member(E,B))))))))))),
% 8.49/1.45 inference(NNF_transformation,[status(esa)],[f30])).
% 8.49/1.45 fof(f32,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,binary_relation_type)|((~member(C,inverse2(D,B))|((ilf_type(sk0_0(D,C,B),set_type)&member(ordered_pair(C,sk0_0(D,C,B)),D))&member(sk0_0(D,C,B),B)))&(member(C,inverse2(D,B))|(![E]: ((~ilf_type(E,set_type)|~member(ordered_pair(C,E),D))|~member(E,B))))))))))),
% 8.49/1.45 inference(skolemization,[status(esa)],[f31])).
% 8.49/1.45 fof(f34,plain,(
% 8.49/1.45 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,binary_relation_type)|~member(X1,inverse2(X2,X0))|member(ordered_pair(X1,sk0_0(X2,X1,X0)),X2))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f32])).
% 8.49/1.45 fof(f35,plain,(
% 8.49/1.45 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,binary_relation_type)|~member(X1,inverse2(X2,X0))|member(sk0_0(X2,X1,X0),X0))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f32])).
% 8.49/1.45 fof(f36,plain,(
% 8.49/1.45 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,binary_relation_type)|member(X1,inverse2(X2,X0))|~ilf_type(X3,set_type)|~member(ordered_pair(X1,X3),X2)|~member(X3,X0))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f32])).
% 8.49/1.45 fof(f37,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|(![F]: (~ilf_type(F,relation_type(B,C))|(~member(ordered_pair(D,E),F)|(member(D,B)&member(E,C))))))))))))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 8.49/1.45 fof(f38,plain,(
% 8.49/1.45 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,relation_type(X0,X1))|~member(ordered_pair(X2,X3),X4)|member(X2,X0))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f37])).
% 8.49/1.45 fof(f39,plain,(
% 8.49/1.45 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,relation_type(X0,X1))|~member(ordered_pair(X2,X3),X4)|member(X3,X1))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f37])).
% 8.49/1.45 fof(f40,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|(![F]: (~ilf_type(F,set_type)|(F=ordered_pair(D,E)<=>F=unordered_pair(unordered_pair(D,E),singleton(D))))))))))))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 8.49/1.45 fof(f41,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|(![F]: (~ilf_type(F,set_type)|((~F=ordered_pair(D,E)|F=unordered_pair(unordered_pair(D,E),singleton(D)))&(F=ordered_pair(D,E)|~F=unordered_pair(unordered_pair(D,E),singleton(D)))))))))))))),
% 8.49/1.45 inference(NNF_transformation,[status(esa)],[f40])).
% 8.49/1.45 fof(f42,plain,(
% 8.49/1.45 (![B]: ~ilf_type(B,set_type))|((![C]: ~ilf_type(C,set_type))|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|(![F]: (~ilf_type(F,set_type)|((~F=ordered_pair(D,E)|F=unordered_pair(unordered_pair(D,E),singleton(D)))&(F=ordered_pair(D,E)|~F=unordered_pair(unordered_pair(D,E),singleton(D)))))))))))),
% 8.49/1.45 inference(miniscoping,[status(esa)],[f41])).
% 8.49/1.45 fof(f43,plain,(
% 8.49/1.45 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,set_type)|~X4=ordered_pair(X2,X3)|X4=unordered_pair(unordered_pair(X2,X3),singleton(X2)))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f42])).
% 8.49/1.45 fof(f44,plain,(
% 8.49/1.45 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,set_type)|X4=ordered_pair(X2,X3)|~X4=unordered_pair(unordered_pair(X2,X3),singleton(X2)))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f42])).
% 8.49/1.45 fof(f47,plain,(
% 8.49/1.45 ![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)))))))))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 8.49/1.45 fof(f48,plain,(
% 8.49/1.45 ![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)))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f47])).
% 8.49/1.45 fof(f49,plain,(
% 8.49/1.45 ![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))))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f47])).
% 8.49/1.45 fof(f53,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 8.49/1.45 fof(f54,plain,(
% 8.49/1.45 ![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))))))),
% 8.49/1.45 inference(NNF_transformation,[status(esa)],[f53])).
% 8.49/1.45 fof(f55,plain,(
% 8.49/1.45 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f54])).
% 8.49/1.45 fof(f56,plain,(
% 8.49/1.45 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f54])).
% 8.49/1.45 fof(f60,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|(empty(B)<=>(![C]: (~ilf_type(C,set_type)|~member(C,B)))))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 8.49/1.45 fof(f61,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|((~empty(B)|(![C]: (~ilf_type(C,set_type)|~member(C,B))))&(empty(B)|(?[C]: (ilf_type(C,set_type)&member(C,B))))))),
% 8.49/1.45 inference(NNF_transformation,[status(esa)],[f60])).
% 8.49/1.45 fof(f62,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|((~empty(B)|(![C]: (~ilf_type(C,set_type)|~member(C,B))))&(empty(B)|(ilf_type(sk0_3(B),set_type)&member(sk0_3(B),B)))))),
% 8.49/1.45 inference(skolemization,[status(esa)],[f61])).
% 8.49/1.45 fof(f63,plain,(
% 8.49/1.45 ![X0,X1]: (~ilf_type(X0,set_type)|~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f62])).
% 8.49/1.45 fof(f74,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|(![C]: ilf_type(C,set_type)))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 8.49/1.45 fof(f75,plain,(
% 8.49/1.45 (![B]: ~ilf_type(B,set_type))|(![C]: ilf_type(C,set_type))),
% 8.49/1.45 inference(miniscoping,[status(esa)],[f74])).
% 8.49/1.45 fof(f76,plain,(
% 8.49/1.45 ![X0,X1]: (~ilf_type(X0,set_type)|ilf_type(X1,set_type))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f75])).
% 8.49/1.45 fof(f77,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 8.49/1.45 fof(f78,plain,(
% 8.49/1.45 ![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)))))),
% 8.49/1.45 inference(NNF_transformation,[status(esa)],[f77])).
% 8.49/1.45 fof(f81,plain,(
% 8.49/1.45 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f78])).
% 8.49/1.45 fof(f84,plain,(
% 8.49/1.45 ![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)))))))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 8.49/1.45 fof(f85,plain,(
% 8.49/1.45 ![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))))))))),
% 8.49/1.45 inference(NNF_transformation,[status(esa)],[f84])).
% 8.49/1.45 fof(f86,plain,(
% 8.49/1.45 ![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))))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f85])).
% 8.49/1.45 fof(f91,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(B=C<=>(![D]: (~ilf_type(D,set_type)|(member(D,B)<=>member(D,C))))))))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 8.49/1.45 fof(f92,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~B=C|(![D]: (~ilf_type(D,set_type)|((~member(D,B)|member(D,C))&(member(D,B)|~member(D,C))))))&(B=C|(?[D]: (ilf_type(D,set_type)&((~member(D,B)|~member(D,C))&(member(D,B)|member(D,C))))))))))),
% 8.49/1.45 inference(NNF_transformation,[status(esa)],[f91])).
% 8.49/1.45 fof(f93,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|((~B=C|(![D]: (~ilf_type(D,set_type)|((~member(D,B)|member(D,C))&(member(D,B)|~member(D,C))))))&(B=C|(ilf_type(sk0_6(C,B),set_type)&((~member(sk0_6(C,B),B)|~member(sk0_6(C,B),C))&(member(sk0_6(C,B),B)|member(sk0_6(C,B),C)))))))))),
% 8.49/1.45 inference(skolemization,[status(esa)],[f92])).
% 8.49/1.45 fof(f94,plain,(
% 8.49/1.45 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~X0=X1|~ilf_type(X2,set_type)|~member(X2,X0)|member(X2,X1))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f93])).
% 8.49/1.45 fof(f99,plain,(
% 8.49/1.45 ![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))))))))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 8.49/1.45 fof(f100,plain,(
% 8.49/1.45 ![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)))))))))),
% 8.49/1.45 inference(NNF_transformation,[status(esa)],[f99])).
% 8.49/1.45 fof(f101,plain,(
% 8.49/1.45 ![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_7(C,B),set_type)&(member(sk0_7(C,B),B)&~member(sk0_7(C,B),C))))))))),
% 8.49/1.45 inference(skolemization,[status(esa)],[f100])).
% 8.49/1.45 fof(f102,plain,(
% 8.49/1.45 ![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))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f101])).
% 8.49/1.45 fof(f106,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 8.49/1.45 fof(f107,plain,(
% 8.49/1.45 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f106])).
% 8.49/1.45 fof(f120,plain,(
% 8.49/1.45 ![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))))))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 8.49/1.45 fof(f121,plain,(
% 8.49/1.45 ![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))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f120])).
% 8.49/1.45 fof(f122,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|(![E]: (~ilf_type(E,set_type)|inverse4(B,C,D,E)=inverse2(D,E))))))))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 8.49/1.45 fof(f123,plain,(
% 8.49/1.45 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|~ilf_type(X3,set_type)|inverse4(X0,X1,X2,X3)=inverse2(X2,X3))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f122])).
% 8.49/1.45 fof(f124,plain,(
% 8.49/1.45 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|(![E]: (~ilf_type(E,set_type)|ilf_type(inverse4(B,C,D,E),subset_type(B)))))))))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 8.49/1.45 fof(f125,plain,(
% 8.49/1.45 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|~ilf_type(X3,set_type)|ilf_type(inverse4(X0,X1,X2,X3),subset_type(X0)))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f124])).
% 8.49/1.45 fof(f126,plain,(
% 8.49/1.45 ![X0]: (ilf_type(X0,set_type))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f27])).
% 8.49/1.45 fof(f127,plain,(
% 8.49/1.45 (?[B]: ((~empty(B)&ilf_type(B,set_type))&(?[C]: ((~empty(C)&ilf_type(C,set_type))&(?[D]: ((~empty(D)&ilf_type(D,set_type))&(?[E]: (ilf_type(E,relation_type(B,D))&(?[F]: (ilf_type(F,member_type(B))&(member(F,inverse4(B,D,E,C))<~>(?[G]: ((ilf_type(G,member_type(D))&member(ordered_pair(F,G),E))&member(G,C))))))))))))))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 8.49/1.45 fof(f128,plain,(
% 8.49/1.45 ?[B]: ((~empty(B)&ilf_type(B,set_type))&(?[C]: ((~empty(C)&ilf_type(C,set_type))&(?[D]: ((~empty(D)&ilf_type(D,set_type))&(?[E]: (ilf_type(E,relation_type(B,D))&(?[F]: (ilf_type(F,member_type(B))&((member(F,inverse4(B,D,E,C))|(?[G]: ((ilf_type(G,member_type(D))&member(ordered_pair(F,G),E))&member(G,C))))&(~member(F,inverse4(B,D,E,C))|(![G]: ((~ilf_type(G,member_type(D))|~member(ordered_pair(F,G),E))|~member(G,C))))))))))))))),
% 8.49/1.45 inference(NNF_transformation,[status(esa)],[f127])).
% 8.49/1.45 fof(f129,plain,(
% 8.49/1.45 ((~empty(sk0_11)&ilf_type(sk0_11,set_type))&((~empty(sk0_12)&ilf_type(sk0_12,set_type))&((~empty(sk0_13)&ilf_type(sk0_13,set_type))&(ilf_type(sk0_14,relation_type(sk0_11,sk0_13))&(ilf_type(sk0_15,member_type(sk0_11))&((member(sk0_15,inverse4(sk0_11,sk0_13,sk0_14,sk0_12))|((ilf_type(sk0_16,member_type(sk0_13))&member(ordered_pair(sk0_15,sk0_16),sk0_14))&member(sk0_16,sk0_12)))&(~member(sk0_15,inverse4(sk0_11,sk0_13,sk0_14,sk0_12))|(![G]: ((~ilf_type(G,member_type(sk0_13))|~member(ordered_pair(sk0_15,G),sk0_14))|~member(G,sk0_12))))))))))),
% 8.49/1.45 inference(skolemization,[status(esa)],[f128])).
% 8.49/1.45 fof(f130,plain,(
% 8.49/1.45 ~empty(sk0_11)),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f129])).
% 8.49/1.45 fof(f134,plain,(
% 8.49/1.45 ~empty(sk0_13)),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f129])).
% 8.49/1.45 fof(f136,plain,(
% 8.49/1.45 ilf_type(sk0_14,relation_type(sk0_11,sk0_13))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f129])).
% 8.49/1.45 fof(f137,plain,(
% 8.49/1.45 ilf_type(sk0_15,member_type(sk0_11))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f129])).
% 8.49/1.45 fof(f139,plain,(
% 8.49/1.45 member(sk0_15,inverse4(sk0_11,sk0_13,sk0_14,sk0_12))|member(ordered_pair(sk0_15,sk0_16),sk0_14)),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f129])).
% 8.49/1.45 fof(f140,plain,(
% 8.49/1.45 member(sk0_15,inverse4(sk0_11,sk0_13,sk0_14,sk0_12))|member(sk0_16,sk0_12)),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f129])).
% 8.49/1.45 fof(f141,plain,(
% 8.49/1.45 ![X0]: (~member(sk0_15,inverse4(sk0_11,sk0_13,sk0_14,sk0_12))|~ilf_type(X0,member_type(sk0_13))|~member(ordered_pair(sk0_15,X0),sk0_14)|~member(X0,sk0_12))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f129])).
% 8.49/1.45 fof(f142,plain,(
% 8.49/1.45 spl0_0 <=> ~ilf_type(X0,set_type)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f143,plain,(
% 8.49/1.45 ![X0]: (~ilf_type(X0,set_type)|~spl0_0)),
% 8.49/1.45 inference(component_clause,[status(thm)],[f142])).
% 8.49/1.45 fof(f145,plain,(
% 8.49/1.45 spl0_1 <=> ~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,set_type)|~X4=ordered_pair(X2,X3)|X4=unordered_pair(unordered_pair(X2,X3),singleton(X2))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f148,plain,(
% 8.49/1.45 spl0_0|spl0_1),
% 8.49/1.45 inference(split_clause,[status(thm)],[f43,f142,f145])).
% 8.49/1.45 fof(f149,plain,(
% 8.49/1.45 spl0_2 <=> ~ilf_type(X2,set_type)|~ilf_type(X3,set_type)|~ilf_type(X4,set_type)|X4=ordered_pair(X2,X3)|~X4=unordered_pair(unordered_pair(X2,X3),singleton(X2))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f152,plain,(
% 8.49/1.45 spl0_0|spl0_2),
% 8.49/1.45 inference(split_clause,[status(thm)],[f44,f142,f149])).
% 8.49/1.45 fof(f153,plain,(
% 8.49/1.45 spl0_3 <=> ilf_type(X1,set_type)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f156,plain,(
% 8.49/1.45 spl0_0|spl0_3),
% 8.49/1.45 inference(split_clause,[status(thm)],[f76,f142,f153])).
% 8.49/1.45 fof(f157,plain,(
% 8.49/1.45 spl0_4 <=> member(sk0_15,inverse4(sk0_11,sk0_13,sk0_14,sk0_12))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f158,plain,(
% 8.49/1.45 member(sk0_15,inverse4(sk0_11,sk0_13,sk0_14,sk0_12))|~spl0_4),
% 8.49/1.45 inference(component_clause,[status(thm)],[f157])).
% 8.49/1.45 fof(f159,plain,(
% 8.49/1.45 ~member(sk0_15,inverse4(sk0_11,sk0_13,sk0_14,sk0_12))|spl0_4),
% 8.49/1.45 inference(component_clause,[status(thm)],[f157])).
% 8.49/1.45 fof(f164,plain,(
% 8.49/1.45 spl0_6 <=> member(ordered_pair(sk0_15,sk0_16),sk0_14)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f165,plain,(
% 8.49/1.45 member(ordered_pair(sk0_15,sk0_16),sk0_14)|~spl0_6),
% 8.49/1.45 inference(component_clause,[status(thm)],[f164])).
% 8.49/1.45 fof(f167,plain,(
% 8.49/1.45 spl0_4|spl0_6),
% 8.49/1.45 inference(split_clause,[status(thm)],[f139,f157,f164])).
% 8.49/1.45 fof(f168,plain,(
% 8.49/1.45 spl0_7 <=> member(sk0_16,sk0_12)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f169,plain,(
% 8.49/1.45 member(sk0_16,sk0_12)|~spl0_7),
% 8.49/1.45 inference(component_clause,[status(thm)],[f168])).
% 8.49/1.45 fof(f171,plain,(
% 8.49/1.45 spl0_4|spl0_7),
% 8.49/1.45 inference(split_clause,[status(thm)],[f140,f157,f168])).
% 8.49/1.45 fof(f172,plain,(
% 8.49/1.45 spl0_8 <=> ~ilf_type(X0,member_type(sk0_13))|~member(ordered_pair(sk0_15,X0),sk0_14)|~member(X0,sk0_12)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f173,plain,(
% 8.49/1.45 ![X0]: (~ilf_type(X0,member_type(sk0_13))|~member(ordered_pair(sk0_15,X0),sk0_14)|~member(X0,sk0_12)|~spl0_8)),
% 8.49/1.45 inference(component_clause,[status(thm)],[f172])).
% 8.49/1.45 fof(f175,plain,(
% 8.49/1.45 ~spl0_4|spl0_8),
% 8.49/1.45 inference(split_clause,[status(thm)],[f141,f157,f172])).
% 8.49/1.45 fof(f176,plain,(
% 8.49/1.45 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 8.49/1.45 inference(duplicate_literals_removal,[status(esa)],[f81])).
% 8.49/1.45 fof(f177,plain,(
% 8.49/1.45 ![X0,X1]: (~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f63,f126])).
% 8.49/1.45 fof(f178,plain,(
% 8.49/1.45 spl0_9 <=> empty(sk0_14)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f181,plain,(
% 8.49/1.45 spl0_10 <=> ilf_type(ordered_pair(sk0_15,sk0_16),set_type)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f183,plain,(
% 8.49/1.45 ~ilf_type(ordered_pair(sk0_15,sk0_16),set_type)|spl0_10),
% 8.49/1.45 inference(component_clause,[status(thm)],[f181])).
% 8.49/1.45 fof(f184,plain,(
% 8.49/1.45 ~empty(sk0_14)|~ilf_type(ordered_pair(sk0_15,sk0_16),set_type)|~spl0_6),
% 8.49/1.45 inference(resolution,[status(thm)],[f177,f165])).
% 8.49/1.45 fof(f185,plain,(
% 8.49/1.45 ~spl0_9|~spl0_10|~spl0_6),
% 8.49/1.45 inference(split_clause,[status(thm)],[f184,f178,f181,f164])).
% 8.49/1.45 fof(f189,plain,(
% 8.49/1.45 spl0_12 <=> ilf_type(sk0_16,set_type)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f191,plain,(
% 8.49/1.45 ~ilf_type(sk0_16,set_type)|spl0_12),
% 8.49/1.45 inference(component_clause,[status(thm)],[f189])).
% 8.49/1.45 fof(f194,plain,(
% 8.49/1.45 $false|spl0_12),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f191,f126])).
% 8.49/1.45 fof(f195,plain,(
% 8.49/1.45 spl0_12),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f194])).
% 8.49/1.45 fof(f196,plain,(
% 8.49/1.45 $false|spl0_10),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f183,f126])).
% 8.49/1.45 fof(f197,plain,(
% 8.49/1.45 spl0_10),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f196])).
% 8.49/1.45 fof(f201,plain,(
% 8.49/1.45 spl0_14 <=> ilf_type(sk0_15,set_type)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f203,plain,(
% 8.49/1.45 ~ilf_type(sk0_15,set_type)|spl0_14),
% 8.49/1.45 inference(component_clause,[status(thm)],[f201])).
% 8.49/1.45 fof(f206,plain,(
% 8.49/1.45 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f55,f126])).
% 8.49/1.45 fof(f207,plain,(
% 8.49/1.45 spl0_15 <=> empty(sk0_11)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f208,plain,(
% 8.49/1.45 empty(sk0_11)|~spl0_15),
% 8.49/1.45 inference(component_clause,[status(thm)],[f207])).
% 8.49/1.45 fof(f210,plain,(
% 8.49/1.45 spl0_16 <=> ilf_type(sk0_11,set_type)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f212,plain,(
% 8.49/1.45 ~ilf_type(sk0_11,set_type)|spl0_16),
% 8.49/1.45 inference(component_clause,[status(thm)],[f210])).
% 8.49/1.45 fof(f213,plain,(
% 8.49/1.45 spl0_17 <=> member(sk0_15,sk0_11)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f214,plain,(
% 8.49/1.45 member(sk0_15,sk0_11)|~spl0_17),
% 8.49/1.45 inference(component_clause,[status(thm)],[f213])).
% 8.49/1.45 fof(f216,plain,(
% 8.49/1.45 empty(sk0_11)|~ilf_type(sk0_11,set_type)|member(sk0_15,sk0_11)),
% 8.49/1.45 inference(resolution,[status(thm)],[f206,f137])).
% 8.49/1.45 fof(f217,plain,(
% 8.49/1.45 spl0_15|~spl0_16|spl0_17),
% 8.49/1.45 inference(split_clause,[status(thm)],[f216,f207,f210,f213])).
% 8.49/1.45 fof(f218,plain,(
% 8.49/1.45 $false|spl0_16),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f212,f126])).
% 8.49/1.45 fof(f219,plain,(
% 8.49/1.45 spl0_16),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f218])).
% 8.49/1.45 fof(f220,plain,(
% 8.49/1.45 $false|~spl0_15),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f208,f130])).
% 8.49/1.45 fof(f221,plain,(
% 8.49/1.45 ~spl0_15),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f220])).
% 8.49/1.45 fof(f224,plain,(
% 8.49/1.45 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f56,f126])).
% 8.49/1.45 fof(f225,plain,(
% 8.49/1.45 spl0_18 <=> ilf_type(sk0_15,member_type(sk0_11))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f228,plain,(
% 8.49/1.45 empty(sk0_11)|~ilf_type(sk0_11,set_type)|ilf_type(sk0_15,member_type(sk0_11))|~spl0_17),
% 8.49/1.45 inference(resolution,[status(thm)],[f224,f214])).
% 8.49/1.45 fof(f229,plain,(
% 8.49/1.45 spl0_15|~spl0_16|spl0_18|~spl0_17),
% 8.49/1.45 inference(split_clause,[status(thm)],[f228,f207,f210,f225,f213])).
% 8.49/1.45 fof(f230,plain,(
% 8.49/1.45 spl0_19 <=> ilf_type(inverse4(sk0_11,sk0_13,sk0_14,sk0_12),set_type)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f232,plain,(
% 8.49/1.45 ~ilf_type(inverse4(sk0_11,sk0_13,sk0_14,sk0_12),set_type)|spl0_19),
% 8.49/1.45 inference(component_clause,[status(thm)],[f230])).
% 8.49/1.45 fof(f238,plain,(
% 8.49/1.45 $false|spl0_14),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f203,f126])).
% 8.49/1.45 fof(f239,plain,(
% 8.49/1.45 spl0_14),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f238])).
% 8.49/1.45 fof(f240,plain,(
% 8.49/1.45 $false|spl0_19),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f232,f126])).
% 8.49/1.45 fof(f241,plain,(
% 8.49/1.45 spl0_19),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f240])).
% 8.49/1.45 fof(f242,plain,(
% 8.49/1.45 spl0_21 <=> empty(sk0_13)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f243,plain,(
% 8.49/1.45 empty(sk0_13)|~spl0_21),
% 8.49/1.45 inference(component_clause,[status(thm)],[f242])).
% 8.49/1.45 fof(f245,plain,(
% 8.49/1.45 spl0_22 <=> ilf_type(sk0_13,set_type)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f247,plain,(
% 8.49/1.45 ~ilf_type(sk0_13,set_type)|spl0_22),
% 8.49/1.45 inference(component_clause,[status(thm)],[f245])).
% 8.49/1.45 fof(f253,plain,(
% 8.49/1.45 $false|spl0_22),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f247,f126])).
% 8.49/1.45 fof(f254,plain,(
% 8.49/1.45 spl0_22),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f253])).
% 8.49/1.45 fof(f259,plain,(
% 8.49/1.45 $false|~spl0_21),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f243,f134])).
% 8.49/1.45 fof(f260,plain,(
% 8.49/1.45 ~spl0_21),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f259])).
% 8.49/1.45 fof(f269,plain,(
% 8.49/1.45 spl0_24 <=> ilf_type(sk0_12,set_type)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f271,plain,(
% 8.49/1.45 ~ilf_type(sk0_12,set_type)|spl0_24),
% 8.49/1.45 inference(component_clause,[status(thm)],[f269])).
% 8.49/1.45 fof(f285,plain,(
% 8.49/1.45 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X4,X0))|~member(ordered_pair(X1,X2),X3)|member(X1,X4))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f38,f126])).
% 8.49/1.45 fof(f286,plain,(
% 8.49/1.45 spl0_26 <=> ~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X0,X1),sk0_14)|member(X0,sk0_11)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f289,plain,(
% 8.49/1.45 ![X0,X1]: (~ilf_type(sk0_13,set_type)|~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X0,X1),sk0_14)|member(X0,sk0_11))),
% 8.49/1.45 inference(resolution,[status(thm)],[f285,f136])).
% 8.49/1.45 fof(f290,plain,(
% 8.49/1.45 ~spl0_22|spl0_26),
% 8.49/1.45 inference(split_clause,[status(thm)],[f289,f245,f286])).
% 8.49/1.45 fof(f293,plain,(
% 8.49/1.45 ![X0,X1,X2,X3,X4]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X4,X0))|~member(ordered_pair(X1,X2),X3)|member(X2,X0))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f39,f126])).
% 8.49/1.45 fof(f294,plain,(
% 8.49/1.45 spl0_27 <=> ~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X0,X1),sk0_14)|member(X1,sk0_13)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f295,plain,(
% 8.49/1.45 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X0,X1),sk0_14)|member(X1,sk0_13)|~spl0_27)),
% 8.49/1.45 inference(component_clause,[status(thm)],[f294])).
% 8.49/1.45 fof(f297,plain,(
% 8.49/1.45 ![X0,X1]: (~ilf_type(sk0_13,set_type)|~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X0,X1),sk0_14)|member(X1,sk0_13))),
% 8.49/1.45 inference(resolution,[status(thm)],[f293,f136])).
% 8.49/1.45 fof(f298,plain,(
% 8.49/1.45 ~spl0_22|spl0_27),
% 8.49/1.45 inference(split_clause,[status(thm)],[f297,f245,f294])).
% 8.49/1.45 fof(f299,plain,(
% 8.49/1.45 ![X0,X1]: (~ilf_type(X0,set_type)|~member(ordered_pair(X1,X0),sk0_14)|member(X0,sk0_13)|~spl0_27)),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f295,f126])).
% 8.49/1.45 fof(f300,plain,(
% 8.49/1.45 ![X0,X1]: (~member(ordered_pair(X0,X1),sk0_14)|member(X1,sk0_13)|~spl0_27)),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f299,f126])).
% 8.49/1.45 fof(f301,plain,(
% 8.49/1.45 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~X1=X0|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f94,f126])).
% 8.49/1.45 fof(f302,plain,(
% 8.49/1.45 ![X0,X1,X2]: (~X0=X1|~ilf_type(X2,set_type)|~member(X2,X0)|member(X2,X1))),
% 8.49/1.45 inference(resolution,[status(thm)],[f301,f126])).
% 8.49/1.45 fof(f303,plain,(
% 8.49/1.45 ![X0,X1,X2]: (~X0=X1|~member(X2,X0)|member(X2,X1))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f302,f126])).
% 8.49/1.45 fof(f305,plain,(
% 8.49/1.45 ![X0]: (~inverse4(sk0_11,sk0_13,sk0_14,sk0_12)=X0|member(sk0_15,X0)|~spl0_4)),
% 8.49/1.45 inference(resolution,[status(thm)],[f303,f158])).
% 8.49/1.45 fof(f310,plain,(
% 8.49/1.45 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|~ilf_type(X3,set_type)|inverse4(X2,X0,X1,X3)=inverse2(X1,X3))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f123,f126])).
% 8.49/1.45 fof(f311,plain,(
% 8.49/1.45 spl0_28 <=> ~ilf_type(X0,set_type)|inverse4(sk0_11,sk0_13,sk0_14,X0)=inverse2(sk0_14,X0)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f312,plain,(
% 8.49/1.45 ![X0]: (~ilf_type(X0,set_type)|inverse4(sk0_11,sk0_13,sk0_14,X0)=inverse2(sk0_14,X0)|~spl0_28)),
% 8.49/1.45 inference(component_clause,[status(thm)],[f311])).
% 8.49/1.45 fof(f314,plain,(
% 8.49/1.45 ![X0]: (~ilf_type(sk0_13,set_type)|~ilf_type(X0,set_type)|inverse4(sk0_11,sk0_13,sk0_14,X0)=inverse2(sk0_14,X0))),
% 8.49/1.45 inference(resolution,[status(thm)],[f310,f136])).
% 8.49/1.45 fof(f315,plain,(
% 8.49/1.45 ~spl0_22|spl0_28),
% 8.49/1.45 inference(split_clause,[status(thm)],[f314,f245,f311])).
% 8.49/1.45 fof(f316,plain,(
% 8.49/1.45 ![X0]: (inverse4(sk0_11,sk0_13,sk0_14,X0)=inverse2(sk0_14,X0)|~spl0_28)),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f312,f126])).
% 8.49/1.45 fof(f317,plain,(
% 8.49/1.45 member(sk0_15,inverse2(sk0_14,sk0_12))|~spl0_28|~spl0_4),
% 8.49/1.45 inference(resolution,[status(thm)],[f316,f305])).
% 8.49/1.45 fof(f323,plain,(
% 8.49/1.45 spl0_29 <=> empty(inverse2(sk0_14,sk0_12))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f326,plain,(
% 8.49/1.45 spl0_30 <=> ilf_type(inverse2(sk0_14,sk0_12),set_type)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f328,plain,(
% 8.49/1.45 ~ilf_type(inverse2(sk0_14,sk0_12),set_type)|spl0_30),
% 8.49/1.45 inference(component_clause,[status(thm)],[f326])).
% 8.49/1.45 fof(f329,plain,(
% 8.49/1.45 spl0_31 <=> ilf_type(sk0_15,member_type(inverse2(sk0_14,sk0_12)))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f330,plain,(
% 8.49/1.45 ilf_type(sk0_15,member_type(inverse2(sk0_14,sk0_12)))|~spl0_31),
% 8.49/1.45 inference(component_clause,[status(thm)],[f329])).
% 8.49/1.45 fof(f332,plain,(
% 8.49/1.45 empty(inverse2(sk0_14,sk0_12))|~ilf_type(inverse2(sk0_14,sk0_12),set_type)|ilf_type(sk0_15,member_type(inverse2(sk0_14,sk0_12)))|~spl0_28|~spl0_4),
% 8.49/1.45 inference(resolution,[status(thm)],[f317,f224])).
% 8.49/1.45 fof(f333,plain,(
% 8.49/1.45 spl0_29|~spl0_30|spl0_31|~spl0_28|~spl0_4),
% 8.49/1.45 inference(split_clause,[status(thm)],[f332,f323,f326,f329,f311,f157])).
% 8.49/1.45 fof(f334,plain,(
% 8.49/1.45 ~empty(inverse2(sk0_14,sk0_12))|~ilf_type(sk0_15,set_type)|~spl0_28|~spl0_4),
% 8.49/1.45 inference(resolution,[status(thm)],[f317,f177])).
% 8.49/1.45 fof(f335,plain,(
% 8.49/1.45 ~spl0_29|~spl0_14|~spl0_28|~spl0_4),
% 8.49/1.45 inference(split_clause,[status(thm)],[f334,f323,f201,f311,f157])).
% 8.49/1.45 fof(f336,plain,(
% 8.49/1.45 $false|spl0_24),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f271,f126])).
% 8.49/1.45 fof(f337,plain,(
% 8.49/1.45 spl0_24),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f336])).
% 8.49/1.45 fof(f346,plain,(
% 8.49/1.45 spl0_32 <=> ilf_type(sk0_14,set_type)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f348,plain,(
% 8.49/1.45 ~ilf_type(sk0_14,set_type)|spl0_32),
% 8.49/1.45 inference(component_clause,[status(thm)],[f346])).
% 8.49/1.45 fof(f349,plain,(
% 8.49/1.45 spl0_33 <=> ilf_type(ordered_pair(sk0_15,sk0_16),member_type(sk0_14))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f352,plain,(
% 8.49/1.45 empty(sk0_14)|~ilf_type(sk0_14,set_type)|ilf_type(ordered_pair(sk0_15,sk0_16),member_type(sk0_14))|~spl0_6),
% 8.49/1.45 inference(resolution,[status(thm)],[f165,f224])).
% 8.49/1.45 fof(f353,plain,(
% 8.49/1.45 spl0_9|~spl0_32|spl0_33|~spl0_6),
% 8.49/1.45 inference(split_clause,[status(thm)],[f352,f178,f346,f349,f164])).
% 8.49/1.45 fof(f356,plain,(
% 8.49/1.45 $false|spl0_32),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f348,f126])).
% 8.49/1.45 fof(f357,plain,(
% 8.49/1.45 spl0_32),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f356])).
% 8.49/1.45 fof(f363,plain,(
% 8.49/1.45 ~member(sk0_15,inverse2(sk0_14,sk0_12))|spl0_4|~spl0_28),
% 8.49/1.45 inference(paramodulation,[status(thm)],[f316,f159])).
% 8.49/1.45 fof(f364,plain,(
% 8.49/1.45 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|~ilf_type(X3,set_type)|ilf_type(inverse4(X2,X0,X1,X3),subset_type(X2)))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f125,f126])).
% 8.49/1.45 fof(f365,plain,(
% 8.49/1.45 spl0_34 <=> ~ilf_type(X0,set_type)|ilf_type(inverse4(sk0_11,sk0_13,sk0_14,X0),subset_type(sk0_11))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f366,plain,(
% 8.49/1.45 ![X0]: (~ilf_type(X0,set_type)|ilf_type(inverse4(sk0_11,sk0_13,sk0_14,X0),subset_type(sk0_11))|~spl0_34)),
% 8.49/1.45 inference(component_clause,[status(thm)],[f365])).
% 8.49/1.45 fof(f368,plain,(
% 8.49/1.45 ![X0]: (~ilf_type(sk0_13,set_type)|~ilf_type(X0,set_type)|ilf_type(inverse4(sk0_11,sk0_13,sk0_14,X0),subset_type(sk0_11)))),
% 8.49/1.45 inference(resolution,[status(thm)],[f364,f136])).
% 8.49/1.45 fof(f369,plain,(
% 8.49/1.45 ~spl0_22|spl0_34),
% 8.49/1.45 inference(split_clause,[status(thm)],[f368,f245,f365])).
% 8.49/1.45 fof(f370,plain,(
% 8.49/1.45 ![X0]: (ilf_type(inverse4(sk0_11,sk0_13,sk0_14,X0),subset_type(sk0_11))|~spl0_34)),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f366,f126])).
% 8.49/1.45 fof(f371,plain,(
% 8.49/1.45 ![X0]: (ilf_type(inverse2(sk0_14,X0),subset_type(sk0_11))|~spl0_34|~spl0_28)),
% 8.49/1.45 inference(paramodulation,[status(thm)],[f316,f370])).
% 8.49/1.45 fof(f372,plain,(
% 8.49/1.45 $false|~spl0_0),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f143,f126])).
% 8.49/1.45 fof(f373,plain,(
% 8.49/1.45 ~spl0_0),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f372])).
% 8.49/1.45 fof(f2180,plain,(
% 8.49/1.45 ![X0]: (~empty(power_set(X0)))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f107,f126])).
% 8.49/1.45 fof(f2187,plain,(
% 8.49/1.45 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f176,f126])).
% 8.49/1.45 fof(f2382,plain,(
% 8.49/1.45 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|relation_like(X1))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f121,f126])).
% 8.49/1.45 fof(f2414,plain,(
% 8.49/1.45 $false|spl0_30),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f328,f126])).
% 8.49/1.45 fof(f2415,plain,(
% 8.49/1.45 spl0_30),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f2414])).
% 8.49/1.45 fof(f2651,plain,(
% 8.49/1.45 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f86,f126])).
% 8.49/1.45 fof(f2656,plain,(
% 8.49/1.45 ![X0]: (~ilf_type(inverse2(sk0_14,X0),set_type)|ilf_type(inverse2(sk0_14,X0),member_type(power_set(sk0_11)))|~spl0_34|~spl0_28)),
% 8.49/1.45 inference(resolution,[status(thm)],[f2651,f371])).
% 8.49/1.45 fof(f2657,plain,(
% 8.49/1.45 ![X0]: (ilf_type(inverse2(sk0_14,X0),member_type(power_set(sk0_11)))|~spl0_34|~spl0_28)),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f2656,f126])).
% 8.49/1.45 fof(f2658,plain,(
% 8.49/1.45 ![X0]: (~ilf_type(inverse4(sk0_11,sk0_13,sk0_14,X0),set_type)|ilf_type(inverse4(sk0_11,sk0_13,sk0_14,X0),member_type(power_set(sk0_11)))|~spl0_34)),
% 8.49/1.45 inference(resolution,[status(thm)],[f2651,f370])).
% 8.49/1.45 fof(f2659,plain,(
% 8.49/1.45 ![X0]: (ilf_type(inverse4(sk0_11,sk0_13,sk0_14,X0),member_type(power_set(sk0_11)))|~spl0_34)),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f2658,f126])).
% 8.49/1.45 fof(f2662,plain,(
% 8.49/1.45 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~member(X0,inverse2(X1,X2))|member(ordered_pair(X0,sk0_0(X1,X0,X2)),X1))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f34,f126])).
% 8.49/1.45 fof(f2671,plain,(
% 8.49/1.45 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~member(X0,inverse2(X1,X2))|member(sk0_0(X1,X0,X2),X2))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f35,f126])).
% 8.49/1.45 fof(f2680,plain,(
% 8.49/1.45 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|member(X0,inverse2(X1,X2))|~ilf_type(X3,set_type)|~member(ordered_pair(X0,X3),X1)|~member(X3,X2))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f36,f126])).
% 8.49/1.45 fof(f2681,plain,(
% 8.49/1.45 spl0_36 <=> ilf_type(sk0_14,binary_relation_type)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2683,plain,(
% 8.49/1.45 ~ilf_type(sk0_14,binary_relation_type)|spl0_36),
% 8.49/1.45 inference(component_clause,[status(thm)],[f2681])).
% 8.49/1.45 fof(f2684,plain,(
% 8.49/1.45 spl0_37 <=> member(sk0_15,inverse2(sk0_14,X0))|~member(sk0_16,X0)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2685,plain,(
% 8.49/1.45 ![X0]: (member(sk0_15,inverse2(sk0_14,X0))|~member(sk0_16,X0)|~spl0_37)),
% 8.49/1.45 inference(component_clause,[status(thm)],[f2684])).
% 8.49/1.45 fof(f2687,plain,(
% 8.49/1.45 ![X0]: (~ilf_type(sk0_15,set_type)|~ilf_type(sk0_14,binary_relation_type)|member(sk0_15,inverse2(sk0_14,X0))|~ilf_type(sk0_16,set_type)|~member(sk0_16,X0)|~spl0_6)),
% 8.49/1.45 inference(resolution,[status(thm)],[f2680,f165])).
% 8.49/1.45 fof(f2688,plain,(
% 8.49/1.45 ~spl0_14|~spl0_36|spl0_37|~spl0_12|~spl0_6),
% 8.49/1.45 inference(split_clause,[status(thm)],[f2687,f201,f2681,f2684,f189,f164])).
% 8.49/1.45 fof(f2693,plain,(
% 8.49/1.45 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|ilf_type(X1,relation_type(X2,X0)))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f48,f126])).
% 8.49/1.45 fof(f2700,plain,(
% 8.49/1.45 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(X1,subset_type(cross_product(X2,X0))))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f49,f126])).
% 8.49/1.45 fof(f2703,plain,(
% 8.49/1.45 spl0_38 <=> ilf_type(sk0_14,subset_type(cross_product(sk0_11,sk0_13)))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2704,plain,(
% 8.49/1.45 ilf_type(sk0_14,subset_type(cross_product(sk0_11,sk0_13)))|~spl0_38),
% 8.49/1.45 inference(component_clause,[status(thm)],[f2703])).
% 8.49/1.45 fof(f2706,plain,(
% 8.49/1.45 ~ilf_type(sk0_13,set_type)|ilf_type(sk0_14,subset_type(cross_product(sk0_11,sk0_13)))),
% 8.49/1.45 inference(resolution,[status(thm)],[f2700,f136])).
% 8.49/1.45 fof(f2707,plain,(
% 8.49/1.45 ~spl0_22|spl0_38),
% 8.49/1.45 inference(split_clause,[status(thm)],[f2706,f245,f2703])).
% 8.49/1.45 fof(f2727,plain,(
% 8.49/1.45 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f102,f126])).
% 8.49/1.45 fof(f2752,plain,(
% 8.49/1.45 spl0_42 <=> ilf_type(sk0_14,relation_type(sk0_11,sk0_13))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2755,plain,(
% 8.49/1.45 ~ilf_type(sk0_13,set_type)|ilf_type(sk0_14,relation_type(sk0_11,sk0_13))|~spl0_38),
% 8.49/1.45 inference(resolution,[status(thm)],[f2704,f2693])).
% 8.49/1.45 fof(f2756,plain,(
% 8.49/1.45 ~spl0_22|spl0_42|~spl0_38),
% 8.49/1.45 inference(split_clause,[status(thm)],[f2755,f245,f2752,f2703])).
% 8.49/1.45 fof(f2757,plain,(
% 8.49/1.45 spl0_43 <=> relation_like(sk0_14)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2758,plain,(
% 8.49/1.45 relation_like(sk0_14)|~spl0_43),
% 8.49/1.45 inference(component_clause,[status(thm)],[f2757])).
% 8.49/1.45 fof(f2760,plain,(
% 8.49/1.45 ~ilf_type(sk0_13,set_type)|relation_like(sk0_14)|~spl0_38),
% 8.49/1.45 inference(resolution,[status(thm)],[f2704,f2382])).
% 8.49/1.45 fof(f2761,plain,(
% 8.49/1.45 ~spl0_22|spl0_43|~spl0_38),
% 8.49/1.45 inference(split_clause,[status(thm)],[f2760,f245,f2757,f2703])).
% 8.49/1.45 fof(f2762,plain,(
% 8.49/1.45 spl0_44 <=> ilf_type(sk0_14,member_type(power_set(cross_product(sk0_11,sk0_13))))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2763,plain,(
% 8.49/1.45 ilf_type(sk0_14,member_type(power_set(cross_product(sk0_11,sk0_13))))|~spl0_44),
% 8.49/1.45 inference(component_clause,[status(thm)],[f2762])).
% 8.49/1.45 fof(f2765,plain,(
% 8.49/1.45 ~ilf_type(sk0_14,set_type)|ilf_type(sk0_14,member_type(power_set(cross_product(sk0_11,sk0_13))))|~spl0_38),
% 8.49/1.45 inference(resolution,[status(thm)],[f2704,f2651])).
% 8.49/1.45 fof(f2766,plain,(
% 8.49/1.45 ~spl0_32|spl0_44|~spl0_38),
% 8.49/1.45 inference(split_clause,[status(thm)],[f2765,f346,f2762,f2703])).
% 8.49/1.45 fof(f2767,plain,(
% 8.49/1.45 ilf_type(sk0_14,binary_relation_type)|~spl0_43),
% 8.49/1.45 inference(resolution,[status(thm)],[f2758,f2187])).
% 8.49/1.45 fof(f2768,plain,(
% 8.49/1.45 $false|spl0_36|~spl0_43),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f2767,f2683])).
% 8.49/1.45 fof(f2769,plain,(
% 8.49/1.45 spl0_36|~spl0_43),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f2768])).
% 8.49/1.45 fof(f2780,plain,(
% 8.49/1.45 spl0_45 <=> member(sk0_0(sk0_14,sk0_15,sk0_12),sk0_12)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2785,plain,(
% 8.49/1.45 spl0_46 <=> member(ordered_pair(sk0_15,sk0_0(sk0_14,sk0_15,sk0_12)),sk0_14)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2786,plain,(
% 8.49/1.45 member(ordered_pair(sk0_15,sk0_0(sk0_14,sk0_15,sk0_12)),sk0_14)|~spl0_46),
% 8.49/1.45 inference(component_clause,[status(thm)],[f2785])).
% 8.49/1.45 fof(f2795,plain,(
% 8.49/1.45 spl0_47 <=> member(sk0_15,inverse2(sk0_14,sk0_12))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2796,plain,(
% 8.49/1.45 member(sk0_15,inverse2(sk0_14,sk0_12))|~spl0_47),
% 8.49/1.45 inference(component_clause,[status(thm)],[f2795])).
% 8.49/1.45 fof(f2798,plain,(
% 8.49/1.45 empty(inverse2(sk0_14,sk0_12))|~ilf_type(inverse2(sk0_14,sk0_12),set_type)|member(sk0_15,inverse2(sk0_14,sk0_12))|~spl0_31),
% 8.49/1.45 inference(resolution,[status(thm)],[f330,f206])).
% 8.49/1.45 fof(f2799,plain,(
% 8.49/1.45 spl0_29|~spl0_30|spl0_47|~spl0_31),
% 8.49/1.45 inference(split_clause,[status(thm)],[f2798,f323,f326,f2795,f329])).
% 8.49/1.45 fof(f2815,plain,(
% 8.49/1.45 spl0_49 <=> ilf_type(sk0_0(sk0_14,sk0_15,sk0_12),set_type)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2817,plain,(
% 8.49/1.45 ~ilf_type(sk0_0(sk0_14,sk0_15,sk0_12),set_type)|spl0_49),
% 8.49/1.45 inference(component_clause,[status(thm)],[f2815])).
% 8.49/1.45 fof(f2820,plain,(
% 8.49/1.45 $false|spl0_49),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f2817,f126])).
% 8.49/1.45 fof(f2821,plain,(
% 8.49/1.45 spl0_49),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f2820])).
% 8.49/1.45 fof(f2831,plain,(
% 8.49/1.45 spl0_50 <=> empty(power_set(sk0_11))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2832,plain,(
% 8.49/1.45 empty(power_set(sk0_11))|~spl0_50),
% 8.49/1.45 inference(component_clause,[status(thm)],[f2831])).
% 8.49/1.45 fof(f2834,plain,(
% 8.49/1.45 spl0_51 <=> ilf_type(power_set(sk0_11),set_type)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2836,plain,(
% 8.49/1.45 ~ilf_type(power_set(sk0_11),set_type)|spl0_51),
% 8.49/1.45 inference(component_clause,[status(thm)],[f2834])).
% 8.49/1.45 fof(f2837,plain,(
% 8.49/1.45 spl0_52 <=> member(inverse2(sk0_14,X0),power_set(sk0_11))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2838,plain,(
% 8.49/1.45 ![X0]: (member(inverse2(sk0_14,X0),power_set(sk0_11))|~spl0_52)),
% 8.49/1.45 inference(component_clause,[status(thm)],[f2837])).
% 8.49/1.45 fof(f2840,plain,(
% 8.49/1.45 ![X0]: (empty(power_set(sk0_11))|~ilf_type(power_set(sk0_11),set_type)|member(inverse2(sk0_14,X0),power_set(sk0_11))|~spl0_34|~spl0_28)),
% 8.49/1.45 inference(resolution,[status(thm)],[f2657,f206])).
% 8.49/1.45 fof(f2841,plain,(
% 8.49/1.45 spl0_50|~spl0_51|spl0_52|~spl0_34|~spl0_28),
% 8.49/1.45 inference(split_clause,[status(thm)],[f2840,f2831,f2834,f2837,f365,f311])).
% 8.49/1.45 fof(f2842,plain,(
% 8.49/1.45 $false|spl0_51),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f2836,f126])).
% 8.49/1.45 fof(f2843,plain,(
% 8.49/1.45 spl0_51),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f2842])).
% 8.49/1.45 fof(f2844,plain,(
% 8.49/1.45 $false|~spl0_50),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f2832,f2180])).
% 8.49/1.45 fof(f2845,plain,(
% 8.49/1.45 ~spl0_50),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f2844])).
% 8.49/1.45 fof(f2846,plain,(
% 8.49/1.45 spl0_53 <=> ~ilf_type(X0,set_type)|~member(X0,inverse2(sk0_14,X1))|member(X0,sk0_11)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2849,plain,(
% 8.49/1.45 ![X0,X1]: (~ilf_type(sk0_11,set_type)|~ilf_type(X0,set_type)|~member(X0,inverse2(sk0_14,X1))|member(X0,sk0_11)|~spl0_52)),
% 8.49/1.45 inference(resolution,[status(thm)],[f2838,f2727])).
% 8.49/1.45 fof(f2850,plain,(
% 8.49/1.45 ~spl0_16|spl0_53|~spl0_52),
% 8.49/1.45 inference(split_clause,[status(thm)],[f2849,f210,f2846,f2837])).
% 8.49/1.45 fof(f2852,plain,(
% 8.49/1.45 spl0_54 <=> ilf_type(inverse2(sk0_14,X0),member_type(power_set(sk0_11)))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2855,plain,(
% 8.49/1.45 ![X0]: (empty(power_set(sk0_11))|~ilf_type(power_set(sk0_11),set_type)|ilf_type(inverse2(sk0_14,X0),member_type(power_set(sk0_11)))|~spl0_52)),
% 8.49/1.45 inference(resolution,[status(thm)],[f2838,f224])).
% 8.49/1.45 fof(f2856,plain,(
% 8.49/1.45 spl0_50|~spl0_51|spl0_54|~spl0_52),
% 8.49/1.45 inference(split_clause,[status(thm)],[f2855,f2831,f2834,f2852,f2837])).
% 8.49/1.45 fof(f2870,plain,(
% 8.49/1.45 spl0_56 <=> empty(power_set(cross_product(sk0_11,sk0_13)))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2871,plain,(
% 8.49/1.45 empty(power_set(cross_product(sk0_11,sk0_13)))|~spl0_56),
% 8.49/1.45 inference(component_clause,[status(thm)],[f2870])).
% 8.49/1.45 fof(f2873,plain,(
% 8.49/1.45 spl0_57 <=> ilf_type(power_set(cross_product(sk0_11,sk0_13)),set_type)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2875,plain,(
% 8.49/1.45 ~ilf_type(power_set(cross_product(sk0_11,sk0_13)),set_type)|spl0_57),
% 8.49/1.45 inference(component_clause,[status(thm)],[f2873])).
% 8.49/1.45 fof(f2876,plain,(
% 8.49/1.45 spl0_58 <=> member(sk0_14,power_set(cross_product(sk0_11,sk0_13)))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2879,plain,(
% 8.49/1.45 empty(power_set(cross_product(sk0_11,sk0_13)))|~ilf_type(power_set(cross_product(sk0_11,sk0_13)),set_type)|member(sk0_14,power_set(cross_product(sk0_11,sk0_13)))|~spl0_44),
% 8.49/1.45 inference(resolution,[status(thm)],[f2763,f206])).
% 8.49/1.45 fof(f2880,plain,(
% 8.49/1.45 spl0_56|~spl0_57|spl0_58|~spl0_44),
% 8.49/1.45 inference(split_clause,[status(thm)],[f2879,f2870,f2873,f2876,f2762])).
% 8.49/1.45 fof(f2881,plain,(
% 8.49/1.45 $false|spl0_57),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f2875,f126])).
% 8.49/1.45 fof(f2882,plain,(
% 8.49/1.45 spl0_57),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f2881])).
% 8.49/1.45 fof(f2883,plain,(
% 8.49/1.45 $false|~spl0_56),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f2871,f2180])).
% 8.49/1.45 fof(f2884,plain,(
% 8.49/1.45 ~spl0_56),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f2883])).
% 8.49/1.45 fof(f2905,plain,(
% 8.49/1.45 spl0_62 <=> member(inverse4(sk0_11,sk0_13,sk0_14,X0),power_set(sk0_11))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2906,plain,(
% 8.49/1.45 ![X0]: (member(inverse4(sk0_11,sk0_13,sk0_14,X0),power_set(sk0_11))|~spl0_62)),
% 8.49/1.45 inference(component_clause,[status(thm)],[f2905])).
% 8.49/1.45 fof(f2908,plain,(
% 8.49/1.45 ![X0]: (empty(power_set(sk0_11))|~ilf_type(power_set(sk0_11),set_type)|member(inverse4(sk0_11,sk0_13,sk0_14,X0),power_set(sk0_11))|~spl0_34)),
% 8.49/1.45 inference(resolution,[status(thm)],[f2659,f206])).
% 8.49/1.45 fof(f2909,plain,(
% 8.49/1.45 spl0_50|~spl0_51|spl0_62|~spl0_34),
% 8.49/1.45 inference(split_clause,[status(thm)],[f2908,f2831,f2834,f2905,f365])).
% 8.49/1.45 fof(f2917,plain,(
% 8.49/1.45 spl0_63 <=> ~ilf_type(X0,set_type)|~member(X0,inverse4(sk0_11,sk0_13,sk0_14,X1))|member(X0,sk0_11)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2920,plain,(
% 8.49/1.45 ![X0,X1]: (~ilf_type(sk0_11,set_type)|~ilf_type(X0,set_type)|~member(X0,inverse4(sk0_11,sk0_13,sk0_14,X1))|member(X0,sk0_11)|~spl0_62)),
% 8.49/1.45 inference(resolution,[status(thm)],[f2906,f2727])).
% 8.49/1.45 fof(f2921,plain,(
% 8.49/1.45 ~spl0_16|spl0_63|~spl0_62),
% 8.49/1.45 inference(split_clause,[status(thm)],[f2920,f210,f2917,f2905])).
% 8.49/1.45 fof(f2923,plain,(
% 8.49/1.45 spl0_64 <=> ilf_type(inverse4(sk0_11,sk0_13,sk0_14,X0),member_type(power_set(sk0_11)))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2926,plain,(
% 8.49/1.45 ![X0]: (empty(power_set(sk0_11))|~ilf_type(power_set(sk0_11),set_type)|ilf_type(inverse4(sk0_11,sk0_13,sk0_14,X0),member_type(power_set(sk0_11)))|~spl0_62)),
% 8.49/1.45 inference(resolution,[status(thm)],[f2906,f224])).
% 8.49/1.45 fof(f2927,plain,(
% 8.49/1.45 spl0_50|~spl0_51|spl0_64|~spl0_62),
% 8.49/1.45 inference(split_clause,[status(thm)],[f2926,f2831,f2834,f2923,f2905])).
% 8.49/1.45 fof(f2963,plain,(
% 8.49/1.45 spl0_69 <=> ilf_type(sk0_0(sk0_14,sk0_15,sk0_12),member_type(sk0_13))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2966,plain,(
% 8.49/1.45 ~ilf_type(sk0_0(sk0_14,sk0_15,sk0_12),member_type(sk0_13))|~member(sk0_0(sk0_14,sk0_15,sk0_12),sk0_12)|~spl0_46|~spl0_8),
% 8.49/1.45 inference(resolution,[status(thm)],[f2786,f173])).
% 8.49/1.45 fof(f2967,plain,(
% 8.49/1.45 ~spl0_69|~spl0_45|~spl0_46|~spl0_8),
% 8.49/1.45 inference(split_clause,[status(thm)],[f2966,f2963,f2780,f2785,f172])).
% 8.49/1.45 fof(f2968,plain,(
% 8.49/1.45 member(sk0_0(sk0_14,sk0_15,sk0_12),sk0_13)|~spl0_46|~spl0_27),
% 8.49/1.45 inference(resolution,[status(thm)],[f2786,f300])).
% 8.49/1.45 fof(f2981,plain,(
% 8.49/1.45 spl0_72 <=> ilf_type(ordered_pair(sk0_15,sk0_0(sk0_14,sk0_15,sk0_12)),set_type)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2983,plain,(
% 8.49/1.45 ~ilf_type(ordered_pair(sk0_15,sk0_0(sk0_14,sk0_15,sk0_12)),set_type)|spl0_72),
% 8.49/1.45 inference(component_clause,[status(thm)],[f2981])).
% 8.49/1.45 fof(f2986,plain,(
% 8.49/1.45 $false|spl0_72),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f2983,f126])).
% 8.49/1.46 fof(f2987,plain,(
% 8.49/1.46 spl0_72),
% 8.49/1.46 inference(contradiction_clause,[status(thm)],[f2986])).
% 8.49/1.46 fof(f2999,plain,(
% 8.49/1.46 empty(sk0_13)|~ilf_type(sk0_13,set_type)|ilf_type(sk0_0(sk0_14,sk0_15,sk0_12),member_type(sk0_13))|~spl0_46|~spl0_27),
% 8.49/1.46 inference(resolution,[status(thm)],[f2968,f224])).
% 8.49/1.46 fof(f3000,plain,(
% 8.49/1.46 spl0_21|~spl0_22|spl0_69|~spl0_46|~spl0_27),
% 8.49/1.46 inference(split_clause,[status(thm)],[f2999,f242,f245,f2963,f2785,f294])).
% 8.49/1.46 fof(f3017,plain,(
% 8.49/1.46 ~ilf_type(sk0_15,set_type)|~ilf_type(sk0_14,binary_relation_type)|member(sk0_0(sk0_14,sk0_15,sk0_12),sk0_12)|~spl0_47),
% 8.49/1.46 inference(resolution,[status(thm)],[f2796,f2671])).
% 8.49/1.46 fof(f3018,plain,(
% 8.49/1.46 ~spl0_14|~spl0_36|spl0_45|~spl0_47),
% 8.49/1.46 inference(split_clause,[status(thm)],[f3017,f201,f2681,f2780,f2795])).
% 8.49/1.46 fof(f3019,plain,(
% 8.49/1.46 ~ilf_type(sk0_15,set_type)|~ilf_type(sk0_14,binary_relation_type)|member(ordered_pair(sk0_15,sk0_0(sk0_14,sk0_15,sk0_12)),sk0_14)|~spl0_47),
% 8.49/1.46 inference(resolution,[status(thm)],[f2796,f2662])).
% 8.49/1.46 fof(f3020,plain,(
% 8.49/1.46 ~spl0_14|~spl0_36|spl0_46|~spl0_47),
% 8.49/1.46 inference(split_clause,[status(thm)],[f3019,f201,f2681,f2785,f2795])).
% 8.49/1.46 fof(f3033,plain,(
% 8.49/1.46 member(sk0_15,inverse2(sk0_14,sk0_12))|~spl0_37|~spl0_7),
% 8.49/1.46 inference(resolution,[status(thm)],[f2685,f169])).
% 8.49/1.46 fof(f3034,plain,(
% 8.49/1.46 spl0_47|~spl0_37|~spl0_7),
% 8.49/1.46 inference(split_clause,[status(thm)],[f3033,f2795,f2684,f168])).
% 8.49/1.46 fof(f3037,plain,(
% 8.49/1.46 $false|spl0_4|~spl0_28|~spl0_47),
% 8.49/1.46 inference(forward_subsumption_resolution,[status(thm)],[f2796,f363])).
% 8.49/1.46 fof(f3038,plain,(
% 8.49/1.46 spl0_4|~spl0_28|~spl0_47),
% 8.49/1.46 inference(contradiction_clause,[status(thm)],[f3037])).
% 8.49/1.46 fof(f3039,plain,(
% 8.49/1.46 $false),
% 8.49/1.46 inference(sat_refutation,[status(thm)],[f148,f152,f156,f167,f171,f175,f185,f195,f197,f217,f219,f221,f229,f239,f241,f254,f260,f290,f298,f315,f333,f335,f337,f353,f357,f369,f373,f2415,f2688,f2707,f2756,f2761,f2766,f2769,f2799,f2821,f2841,f2843,f2845,f2850,f2856,f2880,f2882,f2884,f2909,f2921,f2927,f2967,f2987,f3000,f3018,f3020,f3034,f3038])).
% 8.49/1.46 % SZS output end CNFRefutation for theBenchmark.p
% 8.51/1.49 % Elapsed time: 1.163406 seconds
% 8.51/1.49 % CPU time: 8.643599 seconds
% 8.51/1.49 % Memory used: 242.155 MB
%------------------------------------------------------------------------------