TSTP Solution File: SET685+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET685+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 17.14s 2.57s
% Output : CNFRefutation 17.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET685+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:10:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 17.14/2.57 % Refutation found
% 17.14/2.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 17.14/2.57 % SZS output start CNFRefutation for theBenchmark
% 17.14/2.57 fof(f1,axiom,(
% 17.14/2.57 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,binary_relation_type)=> ( member(C,image(D,B))<=> (? [E] :( ilf_type(E,set_type)& member(ordered_pair(E,C),D)& member(E,B) ) )) ) )) )) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f2,axiom,(
% 17.14/2.57 (! [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) ) ) ) )) )) )) )) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f3,axiom,(
% 17.14/2.57 (! [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)) ) ) )) )) )) )) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f5,axiom,(
% 17.14/2.57 (! [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))) ) )) ) )) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f7,axiom,(
% 17.14/2.57 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ( ~ empty(C)& ilf_type(C,set_type) )=> ( ilf_type(B,member_type(C))<=> member(B,C) ) ) )) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f8,axiom,(
% 17.14/2.57 (! [B] :( ( ~ empty(B)& ilf_type(B,set_type) )=> (? [C] : ilf_type(C,member_type(B)) )) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f9,axiom,(
% 17.14/2.57 (! [B] :( ilf_type(B,set_type)=> ( empty(B)<=> (! [C] :( ilf_type(C,set_type)=> ~ member(C,B) ) )) ) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f13,axiom,(
% 17.14/2.57 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> unordered_pair(B,C) = unordered_pair(C,B) ) )) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f15,axiom,(
% 17.14/2.57 (! [B] :( ilf_type(B,set_type)=> ( ilf_type(B,binary_relation_type)<=> ( relation_like(B)& ilf_type(B,set_type) ) ) ) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f17,axiom,(
% 17.14/2.57 (! [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))) ) ) )) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f19,axiom,(
% 17.14/2.57 (! [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) ) ) )) ) )) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f20,axiom,(
% 17.14/2.57 (! [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) ) ) )) ) )) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f21,axiom,(
% 17.14/2.57 (! [B] :( ilf_type(B,set_type)=> ( ~ empty(power_set(B))& ilf_type(power_set(B),set_type) ) ) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f22,axiom,(
% 17.14/2.57 (! [B] :( ilf_type(B,set_type)=> ( relation_like(B)<=> (! [C] :( ilf_type(C,set_type)=> ( member(C,B)=> (? [D] :( ilf_type(D,set_type)& (? [E] :( ilf_type(E,set_type)& C = ordered_pair(D,E) ) )) )) ) )) ) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f24,axiom,(
% 17.14/2.57 (! [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) ) )) )) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f25,axiom,(
% 17.14/2.57 (! [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)=> image4(B,C,D,E) = image(D,E) ) )) )) )) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f26,axiom,(
% 17.14/2.57 (! [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(image4(B,C,D,E),subset_type(C)) ) )) )) )) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f27,axiom,(
% 17.14/2.57 (! [B] : ilf_type(B,set_type) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f28,conjecture,(
% 17.14/2.57 (! [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(D,B))=> (! [F] :( ilf_type(F,member_type(B))=> ( member(F,image4(D,B,E,C))<=> (? [G] :( ilf_type(G,member_type(D))& member(ordered_pair(G,F),E)& member(G,C) ) )) ) )) )) )) )) )),
% 17.14/2.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 17.14/2.57 fof(f29,negated_conjecture,(
% 17.14/2.57 ~((! [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(D,B))=> (! [F] :( ilf_type(F,member_type(B))=> ( member(F,image4(D,B,E,C))<=> (? [G] :( ilf_type(G,member_type(D))& member(ordered_pair(G,F),E)& member(G,C) ) )) ) )) )) )) )) ))),
% 17.14/2.57 inference(negated_conjecture,[status(cth)],[f28])).
% 17.14/2.57 fof(f30,plain,(
% 17.14/2.57 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,binary_relation_type)|(member(C,image(D,B))<=>(?[E]: ((ilf_type(E,set_type)&member(ordered_pair(E,C),D))&member(E,B)))))))))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 17.14/2.57 fof(f31,plain,(
% 17.14/2.57 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,binary_relation_type)|((~member(C,image(D,B))|(?[E]: ((ilf_type(E,set_type)&member(ordered_pair(E,C),D))&member(E,B))))&(member(C,image(D,B))|(![E]: ((~ilf_type(E,set_type)|~member(ordered_pair(E,C),D))|~member(E,B))))))))))),
% 17.14/2.57 inference(NNF_transformation,[status(esa)],[f30])).
% 17.14/2.57 fof(f32,plain,(
% 17.14/2.57 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,binary_relation_type)|((~member(C,image(D,B))|((ilf_type(sk0_0(D,C,B),set_type)&member(ordered_pair(sk0_0(D,C,B),C),D))&member(sk0_0(D,C,B),B)))&(member(C,image(D,B))|(![E]: ((~ilf_type(E,set_type)|~member(ordered_pair(E,C),D))|~member(E,B))))))))))),
% 17.14/2.57 inference(skolemization,[status(esa)],[f31])).
% 17.14/2.57 fof(f34,plain,(
% 17.14/2.57 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,binary_relation_type)|~member(X1,image(X2,X0))|member(ordered_pair(sk0_0(X2,X1,X0),X1),X2))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f32])).
% 17.14/2.57 fof(f35,plain,(
% 17.14/2.57 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,binary_relation_type)|~member(X1,image(X2,X0))|member(sk0_0(X2,X1,X0),X0))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f32])).
% 17.14/2.57 fof(f36,plain,(
% 17.14/2.57 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,binary_relation_type)|member(X1,image(X2,X0))|~ilf_type(X3,set_type)|~member(ordered_pair(X3,X1),X2)|~member(X3,X0))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f32])).
% 17.14/2.57 fof(f37,plain,(
% 17.14/2.57 ![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))))))))))))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 17.14/2.57 fof(f38,plain,(
% 17.14/2.57 ![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))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f37])).
% 17.14/2.57 fof(f39,plain,(
% 17.14/2.57 ![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))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f37])).
% 17.14/2.57 fof(f40,plain,(
% 17.14/2.57 ![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))))))))))))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 17.14/2.57 fof(f41,plain,(
% 17.14/2.57 ![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)))))))))))))),
% 17.14/2.57 inference(NNF_transformation,[status(esa)],[f40])).
% 17.14/2.57 fof(f42,plain,(
% 17.14/2.57 (![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)))))))))))),
% 17.14/2.57 inference(miniscoping,[status(esa)],[f41])).
% 17.14/2.57 fof(f43,plain,(
% 17.14/2.57 ![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)))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f42])).
% 17.14/2.57 fof(f44,plain,(
% 17.14/2.57 ![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)))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f42])).
% 17.14/2.57 fof(f47,plain,(
% 17.14/2.57 ![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)))))))))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 17.14/2.57 fof(f48,plain,(
% 17.14/2.57 ![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)))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f47])).
% 17.14/2.57 fof(f49,plain,(
% 17.14/2.57 ![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))))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f47])).
% 17.14/2.57 fof(f53,plain,(
% 17.14/2.57 ![B]: (~ilf_type(B,set_type)|(![C]: ((empty(C)|~ilf_type(C,set_type))|(ilf_type(B,member_type(C))<=>member(B,C)))))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 17.14/2.57 fof(f54,plain,(
% 17.14/2.57 ![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))))))),
% 17.14/2.57 inference(NNF_transformation,[status(esa)],[f53])).
% 17.14/2.57 fof(f55,plain,(
% 17.14/2.57 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|~ilf_type(X0,member_type(X1))|member(X0,X1))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f54])).
% 17.14/2.57 fof(f56,plain,(
% 17.14/2.57 ![X0,X1]: (~ilf_type(X0,set_type)|empty(X1)|~ilf_type(X1,set_type)|ilf_type(X0,member_type(X1))|~member(X0,X1))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f54])).
% 17.14/2.57 fof(f57,plain,(
% 17.14/2.57 ![B]: ((empty(B)|~ilf_type(B,set_type))|(?[C]: ilf_type(C,member_type(B))))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 17.14/2.57 fof(f58,plain,(
% 17.14/2.57 ![B]: ((empty(B)|~ilf_type(B,set_type))|ilf_type(sk0_2(B),member_type(B)))),
% 17.14/2.57 inference(skolemization,[status(esa)],[f57])).
% 17.14/2.57 fof(f59,plain,(
% 17.14/2.57 ![X0]: (empty(X0)|~ilf_type(X0,set_type)|ilf_type(sk0_2(X0),member_type(X0)))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f58])).
% 17.14/2.57 fof(f60,plain,(
% 17.14/2.57 ![B]: (~ilf_type(B,set_type)|(empty(B)<=>(![C]: (~ilf_type(C,set_type)|~member(C,B)))))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 17.14/2.57 fof(f61,plain,(
% 17.14/2.57 ![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))))))),
% 17.14/2.57 inference(NNF_transformation,[status(esa)],[f60])).
% 17.14/2.57 fof(f62,plain,(
% 17.14/2.57 ![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)))))),
% 17.14/2.57 inference(skolemization,[status(esa)],[f61])).
% 17.14/2.57 fof(f63,plain,(
% 17.14/2.57 ![X0,X1]: (~ilf_type(X0,set_type)|~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f62])).
% 17.14/2.57 fof(f65,plain,(
% 17.14/2.57 ![X0]: (~ilf_type(X0,set_type)|empty(X0)|member(sk0_3(X0),X0))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f62])).
% 17.14/2.57 fof(f72,plain,(
% 17.14/2.57 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|unordered_pair(B,C)=unordered_pair(C,B))))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 17.14/2.57 fof(f73,plain,(
% 17.14/2.57 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|unordered_pair(X0,X1)=unordered_pair(X1,X0))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f72])).
% 17.14/2.57 fof(f76,plain,(
% 17.14/2.57 ![B]: (~ilf_type(B,set_type)|(ilf_type(B,binary_relation_type)<=>(relation_like(B)&ilf_type(B,set_type))))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 17.14/2.57 fof(f77,plain,(
% 17.14/2.57 ![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)))))),
% 17.14/2.57 inference(NNF_transformation,[status(esa)],[f76])).
% 17.14/2.57 fof(f80,plain,(
% 17.14/2.57 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0)|~ilf_type(X0,set_type))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f77])).
% 17.14/2.57 fof(f83,plain,(
% 17.14/2.57 ![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)))))))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 17.14/2.57 fof(f84,plain,(
% 17.14/2.57 ![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))))))))),
% 17.14/2.57 inference(NNF_transformation,[status(esa)],[f83])).
% 17.14/2.57 fof(f85,plain,(
% 17.14/2.57 ![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))))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f84])).
% 17.14/2.57 fof(f90,plain,(
% 17.14/2.57 ![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))))))))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 17.14/2.57 fof(f91,plain,(
% 17.14/2.57 ![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))))))))))),
% 17.14/2.57 inference(NNF_transformation,[status(esa)],[f90])).
% 17.14/2.57 fof(f92,plain,(
% 17.14/2.57 ![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)))))))))),
% 17.14/2.57 inference(skolemization,[status(esa)],[f91])).
% 17.14/2.57 fof(f93,plain,(
% 17.14/2.57 ![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))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f92])).
% 17.14/2.57 fof(f97,plain,(
% 17.14/2.57 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|X0=X1|member(sk0_6(X1,X0),X0)|member(sk0_6(X1,X0),X1))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f92])).
% 17.14/2.57 fof(f98,plain,(
% 17.14/2.57 ![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))))))))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 17.14/2.57 fof(f99,plain,(
% 17.14/2.57 ![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)))))))))),
% 17.14/2.57 inference(NNF_transformation,[status(esa)],[f98])).
% 17.14/2.57 fof(f100,plain,(
% 17.14/2.57 ![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))))))))),
% 17.14/2.57 inference(skolemization,[status(esa)],[f99])).
% 17.14/2.57 fof(f101,plain,(
% 17.14/2.57 ![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))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f100])).
% 17.14/2.57 fof(f105,plain,(
% 17.14/2.57 ![B]: (~ilf_type(B,set_type)|(~empty(power_set(B))&ilf_type(power_set(B),set_type)))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 17.14/2.57 fof(f106,plain,(
% 17.14/2.57 ![X0]: (~ilf_type(X0,set_type)|~empty(power_set(X0)))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f105])).
% 17.14/2.57 fof(f108,plain,(
% 17.14/2.57 ![B]: (~ilf_type(B,set_type)|(relation_like(B)<=>(![C]: (~ilf_type(C,set_type)|(~member(C,B)|(?[D]: (ilf_type(D,set_type)&(?[E]: (ilf_type(E,set_type)&C=ordered_pair(D,E))))))))))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 17.14/2.57 fof(f109,plain,(
% 17.14/2.57 ![B]: (~ilf_type(B,set_type)|((~relation_like(B)|(![C]: (~ilf_type(C,set_type)|(~member(C,B)|(?[D]: (ilf_type(D,set_type)&(?[E]: (ilf_type(E,set_type)&C=ordered_pair(D,E)))))))))&(relation_like(B)|(?[C]: (ilf_type(C,set_type)&(member(C,B)&(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|~C=ordered_pair(D,E)))))))))))),
% 17.14/2.57 inference(NNF_transformation,[status(esa)],[f108])).
% 17.14/2.57 fof(f110,plain,(
% 17.14/2.57 ![B]: (~ilf_type(B,set_type)|((~relation_like(B)|(![C]: (~ilf_type(C,set_type)|(~member(C,B)|(ilf_type(sk0_8(C,B),set_type)&(ilf_type(sk0_9(C,B),set_type)&C=ordered_pair(sk0_8(C,B),sk0_9(C,B))))))))&(relation_like(B)|(ilf_type(sk0_10(B),set_type)&(member(sk0_10(B),B)&(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,set_type)|~sk0_10(B)=ordered_pair(D,E))))))))))),
% 17.14/2.57 inference(skolemization,[status(esa)],[f109])).
% 17.14/2.57 fof(f113,plain,(
% 17.14/2.57 ![X0,X1]: (~ilf_type(X0,set_type)|~relation_like(X0)|~ilf_type(X1,set_type)|~member(X1,X0)|X1=ordered_pair(sk0_8(X1,X0),sk0_9(X1,X0)))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f110])).
% 17.14/2.57 fof(f115,plain,(
% 17.14/2.57 ![X0]: (~ilf_type(X0,set_type)|relation_like(X0)|member(sk0_10(X0),X0))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f110])).
% 17.14/2.57 fof(f119,plain,(
% 17.14/2.57 ![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))))))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 17.14/2.57 fof(f120,plain,(
% 17.14/2.57 ![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))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f119])).
% 17.14/2.57 fof(f121,plain,(
% 17.14/2.57 ![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)|image4(B,C,D,E)=image(D,E))))))))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 17.14/2.57 fof(f122,plain,(
% 17.14/2.57 ![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)|image4(X0,X1,X2,X3)=image(X2,X3))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f121])).
% 17.14/2.57 fof(f123,plain,(
% 17.14/2.57 ![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(image4(B,C,D,E),subset_type(C)))))))))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 17.14/2.57 fof(f124,plain,(
% 17.14/2.57 ![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(image4(X0,X1,X2,X3),subset_type(X1)))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f123])).
% 17.14/2.57 fof(f125,plain,(
% 17.14/2.57 ![X0]: (ilf_type(X0,set_type))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f27])).
% 17.14/2.57 fof(f126,plain,(
% 17.14/2.57 (?[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(D,B))&(?[F]: (ilf_type(F,member_type(B))&(member(F,image4(D,B,E,C))<~>(?[G]: ((ilf_type(G,member_type(D))&member(ordered_pair(G,F),E))&member(G,C))))))))))))))),
% 17.14/2.57 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 17.14/2.57 fof(f127,plain,(
% 17.14/2.57 ?[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(D,B))&(?[F]: (ilf_type(F,member_type(B))&((member(F,image4(D,B,E,C))|(?[G]: ((ilf_type(G,member_type(D))&member(ordered_pair(G,F),E))&member(G,C))))&(~member(F,image4(D,B,E,C))|(![G]: ((~ilf_type(G,member_type(D))|~member(ordered_pair(G,F),E))|~member(G,C))))))))))))))),
% 17.14/2.57 inference(NNF_transformation,[status(esa)],[f126])).
% 17.14/2.57 fof(f128,plain,(
% 17.14/2.57 ((~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_13,sk0_11))&(ilf_type(sk0_15,member_type(sk0_11))&((member(sk0_15,image4(sk0_13,sk0_11,sk0_14,sk0_12))|((ilf_type(sk0_16,member_type(sk0_13))&member(ordered_pair(sk0_16,sk0_15),sk0_14))&member(sk0_16,sk0_12)))&(~member(sk0_15,image4(sk0_13,sk0_11,sk0_14,sk0_12))|(![G]: ((~ilf_type(G,member_type(sk0_13))|~member(ordered_pair(G,sk0_15),sk0_14))|~member(G,sk0_12))))))))))),
% 17.14/2.57 inference(skolemization,[status(esa)],[f127])).
% 17.14/2.57 fof(f129,plain,(
% 17.14/2.57 ~empty(sk0_11)),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f128])).
% 17.14/2.57 fof(f131,plain,(
% 17.14/2.57 ~empty(sk0_12)),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f128])).
% 17.14/2.57 fof(f133,plain,(
% 17.14/2.57 ~empty(sk0_13)),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f128])).
% 17.14/2.57 fof(f135,plain,(
% 17.14/2.57 ilf_type(sk0_14,relation_type(sk0_13,sk0_11))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f128])).
% 17.14/2.57 fof(f136,plain,(
% 17.14/2.57 ilf_type(sk0_15,member_type(sk0_11))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f128])).
% 17.14/2.57 fof(f138,plain,(
% 17.14/2.57 member(sk0_15,image4(sk0_13,sk0_11,sk0_14,sk0_12))|member(ordered_pair(sk0_16,sk0_15),sk0_14)),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f128])).
% 17.14/2.57 fof(f139,plain,(
% 17.14/2.57 member(sk0_15,image4(sk0_13,sk0_11,sk0_14,sk0_12))|member(sk0_16,sk0_12)),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f128])).
% 17.14/2.57 fof(f140,plain,(
% 17.14/2.57 ![X0]: (~member(sk0_15,image4(sk0_13,sk0_11,sk0_14,sk0_12))|~ilf_type(X0,member_type(sk0_13))|~member(ordered_pair(X0,sk0_15),sk0_14)|~member(X0,sk0_12))),
% 17.14/2.57 inference(cnf_transformation,[status(esa)],[f128])).
% 17.14/2.57 fof(f141,plain,(
% 17.14/2.57 spl0_0 <=> ~ilf_type(X0,set_type)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f142,plain,(
% 17.14/2.57 ![X0]: (~ilf_type(X0,set_type)|~spl0_0)),
% 17.14/2.57 inference(component_clause,[status(thm)],[f141])).
% 17.14/2.57 fof(f144,plain,(
% 17.14/2.57 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))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f145,plain,(
% 17.14/2.57 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~X2=ordered_pair(X0,X1)|X2=unordered_pair(unordered_pair(X0,X1),singleton(X0))|~spl0_1)),
% 17.14/2.57 inference(component_clause,[status(thm)],[f144])).
% 17.14/2.57 fof(f147,plain,(
% 17.14/2.57 spl0_0|spl0_1),
% 17.14/2.57 inference(split_clause,[status(thm)],[f43,f141,f144])).
% 17.14/2.57 fof(f148,plain,(
% 17.14/2.57 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))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f149,plain,(
% 17.14/2.57 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|X2=ordered_pair(X0,X1)|~X2=unordered_pair(unordered_pair(X0,X1),singleton(X0))|~spl0_2)),
% 17.14/2.57 inference(component_clause,[status(thm)],[f148])).
% 17.14/2.57 fof(f151,plain,(
% 17.14/2.57 spl0_0|spl0_2),
% 17.14/2.57 inference(split_clause,[status(thm)],[f44,f141,f148])).
% 17.14/2.57 fof(f152,plain,(
% 17.14/2.57 spl0_3 <=> member(sk0_15,image4(sk0_13,sk0_11,sk0_14,sk0_12))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f153,plain,(
% 17.14/2.57 member(sk0_15,image4(sk0_13,sk0_11,sk0_14,sk0_12))|~spl0_3),
% 17.14/2.57 inference(component_clause,[status(thm)],[f152])).
% 17.14/2.57 fof(f154,plain,(
% 17.14/2.57 ~member(sk0_15,image4(sk0_13,sk0_11,sk0_14,sk0_12))|spl0_3),
% 17.14/2.57 inference(component_clause,[status(thm)],[f152])).
% 17.14/2.57 fof(f159,plain,(
% 17.14/2.57 spl0_5 <=> member(ordered_pair(sk0_16,sk0_15),sk0_14)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f160,plain,(
% 17.14/2.57 member(ordered_pair(sk0_16,sk0_15),sk0_14)|~spl0_5),
% 17.14/2.57 inference(component_clause,[status(thm)],[f159])).
% 17.14/2.57 fof(f162,plain,(
% 17.14/2.57 spl0_3|spl0_5),
% 17.14/2.57 inference(split_clause,[status(thm)],[f138,f152,f159])).
% 17.14/2.57 fof(f163,plain,(
% 17.14/2.57 spl0_6 <=> member(sk0_16,sk0_12)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f164,plain,(
% 17.14/2.57 member(sk0_16,sk0_12)|~spl0_6),
% 17.14/2.57 inference(component_clause,[status(thm)],[f163])).
% 17.14/2.57 fof(f166,plain,(
% 17.14/2.57 spl0_3|spl0_6),
% 17.14/2.57 inference(split_clause,[status(thm)],[f139,f152,f163])).
% 17.14/2.57 fof(f167,plain,(
% 17.14/2.57 spl0_7 <=> ~ilf_type(X0,member_type(sk0_13))|~member(ordered_pair(X0,sk0_15),sk0_14)|~member(X0,sk0_12)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f168,plain,(
% 17.14/2.57 ![X0]: (~ilf_type(X0,member_type(sk0_13))|~member(ordered_pair(X0,sk0_15),sk0_14)|~member(X0,sk0_12)|~spl0_7)),
% 17.14/2.57 inference(component_clause,[status(thm)],[f167])).
% 17.14/2.57 fof(f170,plain,(
% 17.14/2.57 ~spl0_3|spl0_7),
% 17.14/2.57 inference(split_clause,[status(thm)],[f140,f152,f167])).
% 17.14/2.57 fof(f171,plain,(
% 17.14/2.57 ![X0]: (~ilf_type(X0,set_type)|ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 17.14/2.57 inference(duplicate_literals_removal,[status(esa)],[f80])).
% 17.14/2.57 fof(f172,plain,(
% 17.14/2.57 ![X0,X1]: (~empty(X0)|~ilf_type(X1,set_type)|~member(X1,X0))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f63,f125])).
% 17.14/2.57 fof(f173,plain,(
% 17.14/2.57 spl0_8 <=> empty(sk0_14)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f176,plain,(
% 17.14/2.57 spl0_9 <=> ilf_type(ordered_pair(sk0_16,sk0_15),set_type)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f178,plain,(
% 17.14/2.57 ~ilf_type(ordered_pair(sk0_16,sk0_15),set_type)|spl0_9),
% 17.14/2.57 inference(component_clause,[status(thm)],[f176])).
% 17.14/2.57 fof(f179,plain,(
% 17.14/2.57 ~empty(sk0_14)|~ilf_type(ordered_pair(sk0_16,sk0_15),set_type)|~spl0_5),
% 17.14/2.57 inference(resolution,[status(thm)],[f172,f160])).
% 17.14/2.57 fof(f180,plain,(
% 17.14/2.57 ~spl0_8|~spl0_9|~spl0_5),
% 17.14/2.57 inference(split_clause,[status(thm)],[f179,f173,f176,f159])).
% 17.14/2.57 fof(f181,plain,(
% 17.14/2.57 spl0_10 <=> empty(sk0_12)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f182,plain,(
% 17.14/2.57 empty(sk0_12)|~spl0_10),
% 17.14/2.57 inference(component_clause,[status(thm)],[f181])).
% 17.14/2.57 fof(f184,plain,(
% 17.14/2.57 spl0_11 <=> ilf_type(sk0_16,set_type)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f186,plain,(
% 17.14/2.57 ~ilf_type(sk0_16,set_type)|spl0_11),
% 17.14/2.57 inference(component_clause,[status(thm)],[f184])).
% 17.14/2.57 fof(f189,plain,(
% 17.14/2.57 $false|spl0_11),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f186,f125])).
% 17.14/2.57 fof(f190,plain,(
% 17.14/2.57 spl0_11),
% 17.14/2.57 inference(contradiction_clause,[status(thm)],[f189])).
% 17.14/2.57 fof(f191,plain,(
% 17.14/2.57 $false|spl0_9),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f178,f125])).
% 17.14/2.57 fof(f192,plain,(
% 17.14/2.57 spl0_9),
% 17.14/2.57 inference(contradiction_clause,[status(thm)],[f191])).
% 17.14/2.57 fof(f196,plain,(
% 17.14/2.57 spl0_13 <=> ilf_type(sk0_15,set_type)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f198,plain,(
% 17.14/2.57 ~ilf_type(sk0_15,set_type)|spl0_13),
% 17.14/2.57 inference(component_clause,[status(thm)],[f196])).
% 17.14/2.57 fof(f201,plain,(
% 17.14/2.57 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|~ilf_type(X1,member_type(X0))|member(X1,X0))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f55,f125])).
% 17.14/2.57 fof(f202,plain,(
% 17.14/2.57 spl0_14 <=> empty(sk0_11)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f203,plain,(
% 17.14/2.57 empty(sk0_11)|~spl0_14),
% 17.14/2.57 inference(component_clause,[status(thm)],[f202])).
% 17.14/2.57 fof(f205,plain,(
% 17.14/2.57 spl0_15 <=> ilf_type(sk0_11,set_type)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f207,plain,(
% 17.14/2.57 ~ilf_type(sk0_11,set_type)|spl0_15),
% 17.14/2.57 inference(component_clause,[status(thm)],[f205])).
% 17.14/2.57 fof(f208,plain,(
% 17.14/2.57 spl0_16 <=> member(sk0_15,sk0_11)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f209,plain,(
% 17.14/2.57 member(sk0_15,sk0_11)|~spl0_16),
% 17.14/2.57 inference(component_clause,[status(thm)],[f208])).
% 17.14/2.57 fof(f211,plain,(
% 17.14/2.57 empty(sk0_11)|~ilf_type(sk0_11,set_type)|member(sk0_15,sk0_11)),
% 17.14/2.57 inference(resolution,[status(thm)],[f201,f136])).
% 17.14/2.57 fof(f212,plain,(
% 17.14/2.57 spl0_14|~spl0_15|spl0_16),
% 17.14/2.57 inference(split_clause,[status(thm)],[f211,f202,f205,f208])).
% 17.14/2.57 fof(f213,plain,(
% 17.14/2.57 $false|spl0_15),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f207,f125])).
% 17.14/2.57 fof(f214,plain,(
% 17.14/2.57 spl0_15),
% 17.14/2.57 inference(contradiction_clause,[status(thm)],[f213])).
% 17.14/2.57 fof(f215,plain,(
% 17.14/2.57 $false|~spl0_14),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f203,f129])).
% 17.14/2.57 fof(f216,plain,(
% 17.14/2.57 ~spl0_14),
% 17.14/2.57 inference(contradiction_clause,[status(thm)],[f215])).
% 17.14/2.57 fof(f219,plain,(
% 17.14/2.57 ![X0,X1]: (empty(X0)|~ilf_type(X0,set_type)|ilf_type(X1,member_type(X0))|~member(X1,X0))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f56,f125])).
% 17.14/2.57 fof(f220,plain,(
% 17.14/2.57 spl0_17 <=> ilf_type(sk0_15,member_type(sk0_11))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f223,plain,(
% 17.14/2.57 empty(sk0_11)|~ilf_type(sk0_11,set_type)|ilf_type(sk0_15,member_type(sk0_11))|~spl0_16),
% 17.14/2.57 inference(resolution,[status(thm)],[f219,f209])).
% 17.14/2.57 fof(f224,plain,(
% 17.14/2.57 spl0_14|~spl0_15|spl0_17|~spl0_16),
% 17.14/2.57 inference(split_clause,[status(thm)],[f223,f202,f205,f220,f208])).
% 17.14/2.57 fof(f225,plain,(
% 17.14/2.57 spl0_18 <=> ilf_type(image4(sk0_13,sk0_11,sk0_14,sk0_12),set_type)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f227,plain,(
% 17.14/2.57 ~ilf_type(image4(sk0_13,sk0_11,sk0_14,sk0_12),set_type)|spl0_18),
% 17.14/2.57 inference(component_clause,[status(thm)],[f225])).
% 17.14/2.57 fof(f233,plain,(
% 17.14/2.57 $false|spl0_13),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f198,f125])).
% 17.14/2.57 fof(f234,plain,(
% 17.14/2.57 spl0_13),
% 17.14/2.57 inference(contradiction_clause,[status(thm)],[f233])).
% 17.14/2.57 fof(f235,plain,(
% 17.14/2.57 $false|spl0_18),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f227,f125])).
% 17.14/2.57 fof(f236,plain,(
% 17.14/2.57 spl0_18),
% 17.14/2.57 inference(contradiction_clause,[status(thm)],[f235])).
% 17.14/2.57 fof(f237,plain,(
% 17.14/2.57 spl0_20 <=> empty(sk0_13)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f238,plain,(
% 17.14/2.57 empty(sk0_13)|~spl0_20),
% 17.14/2.57 inference(component_clause,[status(thm)],[f237])).
% 17.14/2.57 fof(f240,plain,(
% 17.14/2.57 spl0_21 <=> ilf_type(sk0_13,set_type)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f242,plain,(
% 17.14/2.57 ~ilf_type(sk0_13,set_type)|spl0_21),
% 17.14/2.57 inference(component_clause,[status(thm)],[f240])).
% 17.14/2.57 fof(f248,plain,(
% 17.14/2.57 $false|spl0_21),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f242,f125])).
% 17.14/2.57 fof(f249,plain,(
% 17.14/2.57 spl0_21),
% 17.14/2.57 inference(contradiction_clause,[status(thm)],[f248])).
% 17.14/2.57 fof(f254,plain,(
% 17.14/2.57 $false|~spl0_20),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f238,f133])).
% 17.14/2.57 fof(f255,plain,(
% 17.14/2.57 ~spl0_20),
% 17.14/2.57 inference(contradiction_clause,[status(thm)],[f254])).
% 17.14/2.57 fof(f264,plain,(
% 17.14/2.57 spl0_23 <=> ilf_type(sk0_12,set_type)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f266,plain,(
% 17.14/2.57 ~ilf_type(sk0_12,set_type)|spl0_23),
% 17.14/2.57 inference(component_clause,[status(thm)],[f264])).
% 17.14/2.57 fof(f280,plain,(
% 17.14/2.57 ![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))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f38,f125])).
% 17.14/2.57 fof(f281,plain,(
% 17.14/2.57 spl0_25 <=> ~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X0,X1),sk0_14)|member(X0,sk0_13)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f282,plain,(
% 17.14/2.57 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X0,X1),sk0_14)|member(X0,sk0_13)|~spl0_25)),
% 17.14/2.57 inference(component_clause,[status(thm)],[f281])).
% 17.14/2.57 fof(f284,plain,(
% 17.14/2.57 ![X0,X1]: (~ilf_type(sk0_11,set_type)|~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X0,X1),sk0_14)|member(X0,sk0_13))),
% 17.14/2.57 inference(resolution,[status(thm)],[f280,f135])).
% 17.14/2.57 fof(f285,plain,(
% 17.14/2.57 ~spl0_15|spl0_25),
% 17.14/2.57 inference(split_clause,[status(thm)],[f284,f205,f281])).
% 17.14/2.57 fof(f286,plain,(
% 17.14/2.57 ![X0,X1]: (~ilf_type(X0,set_type)|~member(ordered_pair(X1,X0),sk0_14)|member(X1,sk0_13)|~spl0_25)),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f282,f125])).
% 17.14/2.57 fof(f287,plain,(
% 17.14/2.57 ![X0,X1]: (~member(ordered_pair(X0,X1),sk0_14)|member(X0,sk0_13)|~spl0_25)),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f286,f125])).
% 17.14/2.57 fof(f288,plain,(
% 17.14/2.57 ![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))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f39,f125])).
% 17.14/2.57 fof(f289,plain,(
% 17.14/2.57 spl0_26 <=> ~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X0,X1),sk0_14)|member(X1,sk0_11)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f290,plain,(
% 17.14/2.57 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X0,X1),sk0_14)|member(X1,sk0_11)|~spl0_26)),
% 17.14/2.57 inference(component_clause,[status(thm)],[f289])).
% 17.14/2.57 fof(f292,plain,(
% 17.14/2.57 ![X0,X1]: (~ilf_type(sk0_11,set_type)|~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~member(ordered_pair(X0,X1),sk0_14)|member(X1,sk0_11))),
% 17.14/2.57 inference(resolution,[status(thm)],[f288,f135])).
% 17.14/2.57 fof(f293,plain,(
% 17.14/2.57 ~spl0_15|spl0_26),
% 17.14/2.57 inference(split_clause,[status(thm)],[f292,f205,f289])).
% 17.14/2.57 fof(f294,plain,(
% 17.14/2.57 ![X0,X1]: (~ilf_type(X0,set_type)|~member(ordered_pair(X1,X0),sk0_14)|member(X0,sk0_11)|~spl0_26)),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f290,f125])).
% 17.14/2.57 fof(f295,plain,(
% 17.14/2.57 ![X0,X1]: (~member(ordered_pair(X0,X1),sk0_14)|member(X1,sk0_11)|~spl0_26)),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f294,f125])).
% 17.14/2.57 fof(f296,plain,(
% 17.14/2.57 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~X1=X0|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f93,f125])).
% 17.14/2.57 fof(f297,plain,(
% 17.14/2.57 ![X0,X1,X2]: (~X0=X1|~ilf_type(X2,set_type)|~member(X2,X0)|member(X2,X1))),
% 17.14/2.57 inference(resolution,[status(thm)],[f296,f125])).
% 17.14/2.57 fof(f298,plain,(
% 17.14/2.57 ![X0,X1,X2]: (~X0=X1|~member(X2,X0)|member(X2,X1))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f297,f125])).
% 17.14/2.57 fof(f300,plain,(
% 17.14/2.57 ![X0]: (~image4(sk0_13,sk0_11,sk0_14,sk0_12)=X0|member(sk0_15,X0)|~spl0_3)),
% 17.14/2.57 inference(resolution,[status(thm)],[f298,f153])).
% 17.14/2.57 fof(f305,plain,(
% 17.14/2.57 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|~ilf_type(X3,set_type)|image4(X2,X0,X1,X3)=image(X1,X3))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f122,f125])).
% 17.14/2.57 fof(f306,plain,(
% 17.14/2.57 spl0_27 <=> ~ilf_type(X0,set_type)|image4(sk0_13,sk0_11,sk0_14,X0)=image(sk0_14,X0)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f307,plain,(
% 17.14/2.57 ![X0]: (~ilf_type(X0,set_type)|image4(sk0_13,sk0_11,sk0_14,X0)=image(sk0_14,X0)|~spl0_27)),
% 17.14/2.57 inference(component_clause,[status(thm)],[f306])).
% 17.14/2.57 fof(f309,plain,(
% 17.14/2.57 ![X0]: (~ilf_type(sk0_11,set_type)|~ilf_type(X0,set_type)|image4(sk0_13,sk0_11,sk0_14,X0)=image(sk0_14,X0))),
% 17.14/2.57 inference(resolution,[status(thm)],[f305,f135])).
% 17.14/2.57 fof(f310,plain,(
% 17.14/2.57 ~spl0_15|spl0_27),
% 17.14/2.57 inference(split_clause,[status(thm)],[f309,f205,f306])).
% 17.14/2.57 fof(f311,plain,(
% 17.14/2.57 ![X0]: (image4(sk0_13,sk0_11,sk0_14,X0)=image(sk0_14,X0)|~spl0_27)),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f307,f125])).
% 17.14/2.57 fof(f312,plain,(
% 17.14/2.57 member(sk0_15,image(sk0_14,sk0_12))|~spl0_27|~spl0_3),
% 17.14/2.57 inference(resolution,[status(thm)],[f311,f300])).
% 17.14/2.57 fof(f318,plain,(
% 17.14/2.57 spl0_28 <=> empty(image(sk0_14,sk0_12))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f321,plain,(
% 17.14/2.57 spl0_29 <=> ilf_type(image(sk0_14,sk0_12),set_type)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f323,plain,(
% 17.14/2.57 ~ilf_type(image(sk0_14,sk0_12),set_type)|spl0_29),
% 17.14/2.57 inference(component_clause,[status(thm)],[f321])).
% 17.14/2.57 fof(f324,plain,(
% 17.14/2.57 spl0_30 <=> ilf_type(sk0_15,member_type(image(sk0_14,sk0_12)))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f325,plain,(
% 17.14/2.57 ilf_type(sk0_15,member_type(image(sk0_14,sk0_12)))|~spl0_30),
% 17.14/2.57 inference(component_clause,[status(thm)],[f324])).
% 17.14/2.57 fof(f327,plain,(
% 17.14/2.57 empty(image(sk0_14,sk0_12))|~ilf_type(image(sk0_14,sk0_12),set_type)|ilf_type(sk0_15,member_type(image(sk0_14,sk0_12)))|~spl0_27|~spl0_3),
% 17.14/2.57 inference(resolution,[status(thm)],[f312,f219])).
% 17.14/2.57 fof(f328,plain,(
% 17.14/2.57 spl0_28|~spl0_29|spl0_30|~spl0_27|~spl0_3),
% 17.14/2.57 inference(split_clause,[status(thm)],[f327,f318,f321,f324,f306,f152])).
% 17.14/2.57 fof(f329,plain,(
% 17.14/2.57 ~empty(image(sk0_14,sk0_12))|~ilf_type(sk0_15,set_type)|~spl0_27|~spl0_3),
% 17.14/2.57 inference(resolution,[status(thm)],[f312,f172])).
% 17.14/2.57 fof(f330,plain,(
% 17.14/2.57 ~spl0_28|~spl0_13|~spl0_27|~spl0_3),
% 17.14/2.57 inference(split_clause,[status(thm)],[f329,f318,f196,f306,f152])).
% 17.14/2.57 fof(f331,plain,(
% 17.14/2.57 $false|spl0_23),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f266,f125])).
% 17.14/2.57 fof(f332,plain,(
% 17.14/2.57 spl0_23),
% 17.14/2.57 inference(contradiction_clause,[status(thm)],[f331])).
% 17.14/2.57 fof(f341,plain,(
% 17.14/2.57 spl0_31 <=> ilf_type(sk0_14,set_type)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f343,plain,(
% 17.14/2.57 ~ilf_type(sk0_14,set_type)|spl0_31),
% 17.14/2.57 inference(component_clause,[status(thm)],[f341])).
% 17.14/2.57 fof(f344,plain,(
% 17.14/2.57 spl0_32 <=> ilf_type(ordered_pair(sk0_16,sk0_15),member_type(sk0_14))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f347,plain,(
% 17.14/2.57 empty(sk0_14)|~ilf_type(sk0_14,set_type)|ilf_type(ordered_pair(sk0_16,sk0_15),member_type(sk0_14))|~spl0_5),
% 17.14/2.57 inference(resolution,[status(thm)],[f160,f219])).
% 17.14/2.57 fof(f348,plain,(
% 17.14/2.57 spl0_8|~spl0_31|spl0_32|~spl0_5),
% 17.14/2.57 inference(split_clause,[status(thm)],[f347,f173,f341,f344,f159])).
% 17.14/2.57 fof(f351,plain,(
% 17.14/2.57 $false|spl0_31),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f343,f125])).
% 17.14/2.57 fof(f352,plain,(
% 17.14/2.57 spl0_31),
% 17.14/2.57 inference(contradiction_clause,[status(thm)],[f351])).
% 17.14/2.57 fof(f358,plain,(
% 17.14/2.57 ~member(sk0_15,image(sk0_14,sk0_12))|spl0_3|~spl0_27),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f311,f154])).
% 17.14/2.57 fof(f359,plain,(
% 17.14/2.57 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|~ilf_type(X3,set_type)|ilf_type(image4(X2,X0,X1,X3),subset_type(X0)))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f124,f125])).
% 17.14/2.57 fof(f360,plain,(
% 17.14/2.57 spl0_33 <=> ~ilf_type(X0,set_type)|ilf_type(image4(sk0_13,sk0_11,sk0_14,X0),subset_type(sk0_11))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f361,plain,(
% 17.14/2.57 ![X0]: (~ilf_type(X0,set_type)|ilf_type(image4(sk0_13,sk0_11,sk0_14,X0),subset_type(sk0_11))|~spl0_33)),
% 17.14/2.57 inference(component_clause,[status(thm)],[f360])).
% 17.14/2.57 fof(f363,plain,(
% 17.14/2.57 ![X0]: (~ilf_type(sk0_11,set_type)|~ilf_type(X0,set_type)|ilf_type(image4(sk0_13,sk0_11,sk0_14,X0),subset_type(sk0_11)))),
% 17.14/2.57 inference(resolution,[status(thm)],[f359,f135])).
% 17.14/2.57 fof(f364,plain,(
% 17.14/2.57 ~spl0_15|spl0_33),
% 17.14/2.57 inference(split_clause,[status(thm)],[f363,f205,f360])).
% 17.14/2.57 fof(f365,plain,(
% 17.14/2.57 ![X0]: (ilf_type(image4(sk0_13,sk0_11,sk0_14,X0),subset_type(sk0_11))|~spl0_33)),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f361,f125])).
% 17.14/2.57 fof(f366,plain,(
% 17.14/2.57 ![X0]: (ilf_type(image(sk0_14,X0),subset_type(sk0_11))|~spl0_33|~spl0_27)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f311,f365])).
% 17.14/2.57 fof(f367,plain,(
% 17.14/2.57 $false|~spl0_0),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f142,f125])).
% 17.14/2.57 fof(f368,plain,(
% 17.14/2.57 ~spl0_0),
% 17.14/2.57 inference(contradiction_clause,[status(thm)],[f367])).
% 17.14/2.57 fof(f369,plain,(
% 17.14/2.57 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~X1=ordered_pair(X2,X0)|X1=unordered_pair(unordered_pair(X2,X0),singleton(X2))|~spl0_1)),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f145,f125])).
% 17.14/2.57 fof(f370,plain,(
% 17.14/2.57 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|X1=ordered_pair(X2,X0)|~X1=unordered_pair(unordered_pair(X2,X0),singleton(X2))|~spl0_2)),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f149,f125])).
% 17.14/2.57 fof(f371,plain,(
% 17.14/2.57 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~X0=ordered_pair(X1,X2)|X0=unordered_pair(unordered_pair(X1,X2),singleton(X1))|~spl0_1)),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f369,f125])).
% 17.14/2.57 fof(f372,plain,(
% 17.14/2.57 ![X0,X1,X2]: (~X0=ordered_pair(X1,X2)|X0=unordered_pair(unordered_pair(X1,X2),singleton(X1))|~spl0_1)),
% 17.14/2.57 inference(resolution,[status(thm)],[f371,f125])).
% 17.14/2.57 fof(f373,plain,(
% 17.14/2.57 ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(unordered_pair(X0,X1),singleton(X0))|~spl0_1)),
% 17.14/2.57 inference(equality_resolution,[status(esa)],[f372])).
% 17.14/2.57 fof(f374,plain,(
% 17.14/2.57 ![X0,X1]: (ordered_pair(unordered_pair(X0,X1),singleton(X0))=unordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1)))|~spl0_1)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f373,f373])).
% 17.14/2.57 fof(f377,plain,(
% 17.14/2.57 ![X0,X1]: (ordered_pair(unordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(unordered_pair(X0,X1)))=unordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(ordered_pair(X0,X1)))|~spl0_1)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f373,f374])).
% 17.14/2.57 fof(f379,plain,(
% 17.14/2.57 ![X0,X1,X2]: (~ilf_type(X0,set_type)|X0=ordered_pair(X1,X2)|~X0=unordered_pair(unordered_pair(X1,X2),singleton(X1))|~spl0_2)),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f370,f125])).
% 17.14/2.57 fof(f380,plain,(
% 17.14/2.57 ![X0,X1,X2]: (X0=ordered_pair(X1,X2)|~X0=unordered_pair(unordered_pair(X1,X2),singleton(X1))|~spl0_2)),
% 17.14/2.57 inference(resolution,[status(thm)],[f379,f125])).
% 17.14/2.57 fof(f381,plain,(
% 17.14/2.57 ![X0,X1,X2]: (X0=ordered_pair(ordered_pair(X1,X2),singleton(unordered_pair(X1,X2)))|~X0=unordered_pair(ordered_pair(unordered_pair(X1,X2),singleton(X1)),singleton(ordered_pair(X1,X2)))|~spl0_2|~spl0_1)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f374,f380])).
% 17.14/2.57 fof(f418,plain,(
% 17.14/2.57 ![X0,X1]: (ordered_pair(unordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(unordered_pair(X0,X1)))=ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1)))|~spl0_2|~spl0_1)),
% 17.14/2.57 inference(resolution,[status(thm)],[f377,f381])).
% 17.14/2.57 fof(f459,plain,(
% 17.14/2.57 ![X0,X1]: (~member(ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))),sk0_14)|member(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk0_13)|~spl0_25|~spl0_2|~spl0_1)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f418,f287])).
% 17.14/2.57 fof(f460,plain,(
% 17.14/2.57 ![X0,X1]: (~member(ordered_pair(ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X0,X1))),singleton(unordered_pair(unordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(unordered_pair(X0,X1))))),sk0_14)|member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(unordered_pair(X0,X1))),singleton(unordered_pair(unordered_pair(X0,X1),singleton(X0)))),sk0_13)|~spl0_25|~spl0_2|~spl0_1)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f418,f459])).
% 17.14/2.57 fof(f461,plain,(
% 17.14/2.57 ![X0,X1]: (~member(ordered_pair(ordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(ordered_pair(X0,X1))),singleton(ordered_pair(unordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(unordered_pair(X0,X1))))),sk0_14)|member(unordered_pair(unordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(ordered_pair(X0,X1))),singleton(ordered_pair(unordered_pair(X0,X1),singleton(X0)))),sk0_13)|~spl0_25|~spl0_2|~spl0_1)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f377,f459])).
% 17.14/2.57 fof(f465,plain,(
% 17.14/2.57 ![X0,X1]: (~member(ordered_pair(ordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(ordered_pair(X0,X1))),sk0_14)|member(unordered_pair(unordered_pair(unordered_pair(X0,X1),singleton(X0)),singleton(unordered_pair(X0,X1))),sk0_13)|~spl0_25|~spl0_2|~spl0_1)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f373,f459])).
% 17.14/2.57 fof(f2175,plain,(
% 17.14/2.57 ![X0]: (~empty(power_set(X0)))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f106,f125])).
% 17.14/2.57 fof(f2182,plain,(
% 17.14/2.57 ![X0]: (ilf_type(X0,binary_relation_type)|~relation_like(X0))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f171,f125])).
% 17.14/2.57 fof(f2188,plain,(
% 17.14/2.57 ![X0]: (empty(X0)|member(sk0_3(X0),X0))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f65,f125])).
% 17.14/2.57 fof(f2189,plain,(
% 17.14/2.57 ![X0,X1]: (empty(X0)|~X0=X1|member(sk0_3(X0),X1))),
% 17.14/2.57 inference(resolution,[status(thm)],[f2188,f298])).
% 17.14/2.57 fof(f2216,plain,(
% 17.14/2.57 ![X0]: (empty(image4(sk0_13,sk0_11,sk0_14,X0))|member(sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),image(sk0_14,X0))|~spl0_27)),
% 17.14/2.57 inference(resolution,[status(thm)],[f2189,f311])).
% 17.14/2.57 fof(f2240,plain,(
% 17.14/2.57 ![X0]: (empty(image(sk0_14,X0))|member(sk0_3(image(sk0_14,X0)),image4(sk0_13,sk0_11,sk0_14,X0))|~spl0_27)),
% 17.14/2.57 inference(resolution,[status(thm)],[f2189,f311])).
% 17.14/2.57 fof(f2244,plain,(
% 17.14/2.57 ![X0]: (relation_like(X0)|member(sk0_10(X0),X0))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f115,f125])).
% 17.14/2.57 fof(f2245,plain,(
% 17.14/2.57 ![X0,X1]: (relation_like(X0)|~X0=X1|member(sk0_10(X0),X1))),
% 17.14/2.57 inference(resolution,[status(thm)],[f2244,f298])).
% 17.14/2.57 fof(f2272,plain,(
% 17.14/2.57 ![X0]: (relation_like(image4(sk0_13,sk0_11,sk0_14,X0))|member(sk0_10(image4(sk0_13,sk0_11,sk0_14,X0)),image(sk0_14,X0))|~spl0_27)),
% 17.14/2.57 inference(resolution,[status(thm)],[f2245,f311])).
% 17.14/2.57 fof(f2300,plain,(
% 17.14/2.57 ![X0]: (empty(X0)|ilf_type(sk0_2(X0),member_type(X0)))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f59,f125])).
% 17.14/2.57 fof(f2301,plain,(
% 17.14/2.57 ![X0]: (empty(X0)|empty(X0)|~ilf_type(X0,set_type)|member(sk0_2(X0),X0))),
% 17.14/2.57 inference(resolution,[status(thm)],[f2300,f201])).
% 17.14/2.57 fof(f2302,plain,(
% 17.14/2.57 ![X0]: (empty(X0)|~ilf_type(X0,set_type)|member(sk0_2(X0),X0))),
% 17.14/2.57 inference(duplicate_literals_removal,[status(esa)],[f2301])).
% 17.14/2.57 fof(f2303,plain,(
% 17.14/2.57 ![X0]: (empty(X0)|member(sk0_2(X0),X0))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f2302,f125])).
% 17.14/2.57 fof(f2304,plain,(
% 17.14/2.57 ![X0,X1]: (empty(X0)|~X0=X1|member(sk0_2(X0),X1))),
% 17.14/2.57 inference(resolution,[status(thm)],[f2303,f298])).
% 17.14/2.57 fof(f2330,plain,(
% 17.14/2.57 ![X0]: (empty(image4(sk0_13,sk0_11,sk0_14,X0))|member(sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),image(sk0_14,X0))|~spl0_27)),
% 17.14/2.57 inference(resolution,[status(thm)],[f2304,f311])).
% 17.14/2.57 fof(f2358,plain,(
% 17.14/2.57 ![X0,X1]: (~ilf_type(X0,set_type)|unordered_pair(X1,X0)=unordered_pair(X0,X1))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f73,f125])).
% 17.14/2.57 fof(f2359,plain,(
% 17.14/2.57 ![X0,X1]: (unordered_pair(X0,X1)=unordered_pair(X1,X0))),
% 17.14/2.57 inference(resolution,[status(thm)],[f2358,f125])).
% 17.14/2.57 fof(f2368,plain,(
% 17.14/2.57 ![X0,X1]: (unordered_pair(singleton(X0),unordered_pair(X0,X1))=ordered_pair(X0,X1)|~spl0_2)),
% 17.14/2.57 inference(resolution,[status(thm)],[f2359,f380])).
% 17.14/2.57 fof(f2369,plain,(
% 17.14/2.57 ![X0,X1]: (empty(unordered_pair(X0,X1))|member(sk0_2(unordered_pair(X0,X1)),unordered_pair(X1,X0)))),
% 17.14/2.57 inference(resolution,[status(thm)],[f2359,f2304])).
% 17.14/2.57 fof(f2370,plain,(
% 17.14/2.57 ![X0,X1]: (relation_like(unordered_pair(X0,X1))|member(sk0_10(unordered_pair(X0,X1)),unordered_pair(X1,X0)))),
% 17.14/2.57 inference(resolution,[status(thm)],[f2359,f2245])).
% 17.14/2.57 fof(f2528,plain,(
% 17.14/2.57 ![X0,X1]: (~member(ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))),sk0_14)|member(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sk0_13)|~spl0_25|~spl0_2|~spl0_1)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f2359,f459])).
% 17.14/2.57 fof(f2539,plain,(
% 17.14/2.57 ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(unordered_pair(X1,X0),singleton(X0))|~spl0_1)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f2359,f373])).
% 17.14/2.57 fof(f2691,plain,(
% 17.14/2.57 ![X0,X1]: (unordered_pair(singleton(X0),unordered_pair(X1,X0))=ordered_pair(X0,X1)|~spl0_2)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f2359,f2368])).
% 17.14/2.57 fof(f3061,plain,(
% 17.14/2.57 ![X0,X1]: (empty(unordered_pair(X0,X1))|~empty(unordered_pair(X1,X0))|~ilf_type(sk0_2(unordered_pair(X0,X1)),set_type))),
% 17.14/2.57 inference(resolution,[status(thm)],[f2369,f172])).
% 17.14/2.57 fof(f3062,plain,(
% 17.14/2.57 ![X0,X1]: (empty(unordered_pair(X0,X1))|~empty(unordered_pair(X1,X0)))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f3061,f125])).
% 17.14/2.57 fof(f3119,plain,(
% 17.14/2.57 ![X0,X1]: (empty(unordered_pair(unordered_pair(X0,X1),singleton(X1)))|~empty(ordered_pair(X1,X0))|~spl0_2)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f2691,f3062])).
% 17.14/2.57 fof(f3120,plain,(
% 17.14/2.57 ![X0,X1]: (empty(unordered_pair(unordered_pair(X0,X1),singleton(X0)))|~empty(ordered_pair(X0,X1))|~spl0_2)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f2368,f3062])).
% 17.14/2.57 fof(f3143,plain,(
% 17.14/2.57 ![X0,X1]: (empty(unordered_pair(singleton(X0),unordered_pair(X1,X0)))|~empty(ordered_pair(X0,X1))|~spl0_1)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f2539,f3062])).
% 17.14/2.57 fof(f3144,plain,(
% 17.14/2.57 ![X0,X1]: (empty(unordered_pair(singleton(X0),unordered_pair(X0,X1)))|~empty(ordered_pair(X0,X1))|~spl0_1)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f373,f3062])).
% 17.14/2.57 fof(f3152,plain,(
% 17.14/2.57 ![X0,X1]: (relation_like(unordered_pair(X0,X1))|~empty(unordered_pair(X1,X0))|~ilf_type(sk0_10(unordered_pair(X0,X1)),set_type))),
% 17.14/2.57 inference(resolution,[status(thm)],[f2370,f172])).
% 17.14/2.57 fof(f3153,plain,(
% 17.14/2.57 ![X0,X1]: (relation_like(unordered_pair(X0,X1))|~empty(unordered_pair(X1,X0)))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f3152,f125])).
% 17.14/2.57 fof(f3210,plain,(
% 17.14/2.57 ![X0,X1]: (relation_like(unordered_pair(unordered_pair(X0,X1),singleton(X1)))|~empty(ordered_pair(X1,X0))|~spl0_2)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f2691,f3153])).
% 17.14/2.57 fof(f3211,plain,(
% 17.14/2.57 ![X0,X1]: (relation_like(unordered_pair(unordered_pair(X0,X1),singleton(X0)))|~empty(ordered_pair(X0,X1))|~spl0_2)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f2368,f3153])).
% 17.14/2.57 fof(f3234,plain,(
% 17.14/2.57 ![X0,X1]: (relation_like(unordered_pair(singleton(X0),unordered_pair(X1,X0)))|~empty(ordered_pair(X0,X1))|~spl0_1)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f2539,f3153])).
% 17.14/2.57 fof(f3235,plain,(
% 17.14/2.57 ![X0,X1]: (relation_like(unordered_pair(singleton(X0),unordered_pair(X0,X1)))|~empty(ordered_pair(X0,X1))|~spl0_1)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f373,f3153])).
% 17.14/2.57 fof(f3302,plain,(
% 17.14/2.57 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~member(X0,image(X1,X2))|member(ordered_pair(sk0_0(X1,X0,X2),X0),X1))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f34,f125])).
% 17.14/2.57 fof(f3309,plain,(
% 17.14/2.57 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|~member(X0,image(X1,X2))|member(sk0_0(X1,X0,X2),X2))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f35,f125])).
% 17.14/2.57 fof(f3316,plain,(
% 17.14/2.57 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,binary_relation_type)|member(X0,image(X1,X2))|~ilf_type(X3,set_type)|~member(ordered_pair(X3,X0),X1)|~member(X3,X2))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f36,f125])).
% 17.14/2.57 fof(f3317,plain,(
% 17.14/2.57 spl0_34 <=> ilf_type(sk0_14,binary_relation_type)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f3319,plain,(
% 17.14/2.57 ~ilf_type(sk0_14,binary_relation_type)|spl0_34),
% 17.14/2.57 inference(component_clause,[status(thm)],[f3317])).
% 17.14/2.57 fof(f3320,plain,(
% 17.14/2.57 spl0_35 <=> member(sk0_15,image(sk0_14,X0))|~member(sk0_16,X0)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f3321,plain,(
% 17.14/2.57 ![X0]: (member(sk0_15,image(sk0_14,X0))|~member(sk0_16,X0)|~spl0_35)),
% 17.14/2.57 inference(component_clause,[status(thm)],[f3320])).
% 17.14/2.57 fof(f3323,plain,(
% 17.14/2.57 ![X0]: (~ilf_type(sk0_15,set_type)|~ilf_type(sk0_14,binary_relation_type)|member(sk0_15,image(sk0_14,X0))|~ilf_type(sk0_16,set_type)|~member(sk0_16,X0)|~spl0_5)),
% 17.14/2.57 inference(resolution,[status(thm)],[f3316,f160])).
% 17.14/2.57 fof(f3324,plain,(
% 17.14/2.57 ~spl0_13|~spl0_34|spl0_35|~spl0_11|~spl0_5),
% 17.14/2.57 inference(split_clause,[status(thm)],[f3323,f196,f3317,f3320,f184,f159])).
% 17.14/2.57 fof(f3327,plain,(
% 17.14/2.57 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|ilf_type(X1,relation_type(X2,X0)))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f48,f125])).
% 17.14/2.57 fof(f3330,plain,(
% 17.14/2.57 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|ilf_type(X1,subset_type(cross_product(X2,X0))))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f49,f125])).
% 17.14/2.57 fof(f3331,plain,(
% 17.14/2.57 spl0_36 <=> ilf_type(sk0_14,subset_type(cross_product(sk0_13,sk0_11)))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f3332,plain,(
% 17.14/2.57 ilf_type(sk0_14,subset_type(cross_product(sk0_13,sk0_11)))|~spl0_36),
% 17.14/2.57 inference(component_clause,[status(thm)],[f3331])).
% 17.14/2.57 fof(f3334,plain,(
% 17.14/2.57 ~ilf_type(sk0_11,set_type)|ilf_type(sk0_14,subset_type(cross_product(sk0_13,sk0_11)))),
% 17.14/2.57 inference(resolution,[status(thm)],[f3330,f135])).
% 17.14/2.57 fof(f3335,plain,(
% 17.14/2.57 ~spl0_15|spl0_36),
% 17.14/2.57 inference(split_clause,[status(thm)],[f3334,f205,f3331])).
% 17.14/2.57 fof(f3338,plain,(
% 17.14/2.57 ![X0,X1]: (~ilf_type(X0,set_type)|~ilf_type(X0,subset_type(X1))|ilf_type(X0,member_type(power_set(X1))))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f85,f125])).
% 17.14/2.57 fof(f3341,plain,(
% 17.14/2.57 ![X0]: (~ilf_type(image(sk0_14,X0),set_type)|ilf_type(image(sk0_14,X0),member_type(power_set(sk0_11)))|~spl0_33|~spl0_27)),
% 17.14/2.57 inference(resolution,[status(thm)],[f3338,f366])).
% 17.14/2.57 fof(f3342,plain,(
% 17.14/2.57 ![X0]: (ilf_type(image(sk0_14,X0),member_type(power_set(sk0_11)))|~spl0_33|~spl0_27)),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f3341,f125])).
% 17.14/2.57 fof(f3343,plain,(
% 17.14/2.57 ![X0]: (~ilf_type(image4(sk0_13,sk0_11,sk0_14,X0),set_type)|ilf_type(image4(sk0_13,sk0_11,sk0_14,X0),member_type(power_set(sk0_11)))|~spl0_33)),
% 17.14/2.57 inference(resolution,[status(thm)],[f3338,f365])).
% 17.14/2.57 fof(f3344,plain,(
% 17.14/2.57 ![X0]: (ilf_type(image4(sk0_13,sk0_11,sk0_14,X0),member_type(power_set(sk0_11)))|~spl0_33)),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f3343,f125])).
% 17.14/2.57 fof(f3353,plain,(
% 17.14/2.57 ![X0,X1]: (~ilf_type(X0,set_type)|X1=X0|member(sk0_6(X0,X1),X1)|member(sk0_6(X0,X1),X0))),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f97,f125])).
% 17.14/2.57 fof(f3354,plain,(
% 17.14/2.57 ![X0,X1]: (X0=X1|member(sk0_6(X1,X0),X0)|member(sk0_6(X1,X0),X1))),
% 17.14/2.57 inference(resolution,[status(thm)],[f3353,f125])).
% 17.14/2.57 fof(f3355,plain,(
% 17.14/2.57 spl0_37 <=> ilf_type(sk0_14,relation_type(sk0_13,sk0_11))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f3358,plain,(
% 17.14/2.57 ~ilf_type(sk0_11,set_type)|ilf_type(sk0_14,relation_type(sk0_13,sk0_11))|~spl0_36),
% 17.14/2.57 inference(resolution,[status(thm)],[f3332,f3327])).
% 17.14/2.57 fof(f3359,plain,(
% 17.14/2.57 ~spl0_15|spl0_37|~spl0_36),
% 17.14/2.57 inference(split_clause,[status(thm)],[f3358,f205,f3355,f3331])).
% 17.14/2.57 fof(f3360,plain,(
% 17.14/2.57 spl0_38 <=> ilf_type(sk0_14,member_type(power_set(cross_product(sk0_13,sk0_11))))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f3361,plain,(
% 17.14/2.57 ilf_type(sk0_14,member_type(power_set(cross_product(sk0_13,sk0_11))))|~spl0_38),
% 17.14/2.57 inference(component_clause,[status(thm)],[f3360])).
% 17.14/2.57 fof(f3363,plain,(
% 17.14/2.57 ~ilf_type(sk0_14,set_type)|ilf_type(sk0_14,member_type(power_set(cross_product(sk0_13,sk0_11))))|~spl0_36),
% 17.14/2.57 inference(resolution,[status(thm)],[f3332,f3338])).
% 17.14/2.57 fof(f3364,plain,(
% 17.14/2.57 ~spl0_31|spl0_38|~spl0_36),
% 17.14/2.57 inference(split_clause,[status(thm)],[f3363,f341,f3360,f3331])).
% 17.14/2.57 fof(f3366,plain,(
% 17.14/2.57 spl0_39 <=> empty(power_set(sk0_11))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f3367,plain,(
% 17.14/2.57 empty(power_set(sk0_11))|~spl0_39),
% 17.14/2.57 inference(component_clause,[status(thm)],[f3366])).
% 17.14/2.57 fof(f3369,plain,(
% 17.14/2.57 spl0_40 <=> ilf_type(power_set(sk0_11),set_type)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f3371,plain,(
% 17.14/2.57 ~ilf_type(power_set(sk0_11),set_type)|spl0_40),
% 17.14/2.57 inference(component_clause,[status(thm)],[f3369])).
% 17.14/2.57 fof(f3372,plain,(
% 17.14/2.57 spl0_41 <=> member(image(sk0_14,X0),power_set(sk0_11))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f3373,plain,(
% 17.14/2.57 ![X0]: (member(image(sk0_14,X0),power_set(sk0_11))|~spl0_41)),
% 17.14/2.57 inference(component_clause,[status(thm)],[f3372])).
% 17.14/2.57 fof(f3375,plain,(
% 17.14/2.57 ![X0]: (empty(power_set(sk0_11))|~ilf_type(power_set(sk0_11),set_type)|member(image(sk0_14,X0),power_set(sk0_11))|~spl0_33|~spl0_27)),
% 17.14/2.57 inference(resolution,[status(thm)],[f3342,f201])).
% 17.14/2.57 fof(f3376,plain,(
% 17.14/2.57 spl0_39|~spl0_40|spl0_41|~spl0_33|~spl0_27),
% 17.14/2.57 inference(split_clause,[status(thm)],[f3375,f3366,f3369,f3372,f360,f306])).
% 17.14/2.57 fof(f3377,plain,(
% 17.14/2.57 $false|spl0_40),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f3371,f125])).
% 17.14/2.57 fof(f3378,plain,(
% 17.14/2.57 spl0_40),
% 17.14/2.57 inference(contradiction_clause,[status(thm)],[f3377])).
% 17.14/2.57 fof(f3379,plain,(
% 17.14/2.57 $false|~spl0_39),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f3367,f2175])).
% 17.14/2.57 fof(f3380,plain,(
% 17.14/2.57 ~spl0_39),
% 17.14/2.57 inference(contradiction_clause,[status(thm)],[f3379])).
% 17.14/2.57 fof(f3382,plain,(
% 17.14/2.57 spl0_42 <=> ilf_type(image(sk0_14,X0),member_type(power_set(sk0_11)))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f3385,plain,(
% 17.14/2.57 ![X0]: (empty(power_set(sk0_11))|~ilf_type(power_set(sk0_11),set_type)|ilf_type(image(sk0_14,X0),member_type(power_set(sk0_11)))|~spl0_41)),
% 17.14/2.57 inference(resolution,[status(thm)],[f3373,f219])).
% 17.14/2.57 fof(f3386,plain,(
% 17.14/2.57 spl0_39|~spl0_40|spl0_42|~spl0_41),
% 17.14/2.57 inference(split_clause,[status(thm)],[f3385,f3366,f3369,f3382,f3372])).
% 17.14/2.57 fof(f3394,plain,(
% 17.14/2.57 spl0_44 <=> member(image4(sk0_13,sk0_11,sk0_14,X0),power_set(sk0_11))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f3395,plain,(
% 17.14/2.57 ![X0]: (member(image4(sk0_13,sk0_11,sk0_14,X0),power_set(sk0_11))|~spl0_44)),
% 17.14/2.57 inference(component_clause,[status(thm)],[f3394])).
% 17.14/2.57 fof(f3397,plain,(
% 17.14/2.57 ![X0]: (empty(power_set(sk0_11))|~ilf_type(power_set(sk0_11),set_type)|member(image4(sk0_13,sk0_11,sk0_14,X0),power_set(sk0_11))|~spl0_33)),
% 17.14/2.57 inference(resolution,[status(thm)],[f3344,f201])).
% 17.14/2.57 fof(f3398,plain,(
% 17.14/2.57 spl0_39|~spl0_40|spl0_44|~spl0_33),
% 17.14/2.57 inference(split_clause,[status(thm)],[f3397,f3366,f3369,f3394,f360])).
% 17.14/2.57 fof(f3402,plain,(
% 17.14/2.57 spl0_45 <=> empty(power_set(cross_product(sk0_13,sk0_11)))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f3403,plain,(
% 17.14/2.57 empty(power_set(cross_product(sk0_13,sk0_11)))|~spl0_45),
% 17.14/2.57 inference(component_clause,[status(thm)],[f3402])).
% 17.14/2.57 fof(f3405,plain,(
% 17.14/2.57 spl0_46 <=> ilf_type(power_set(cross_product(sk0_13,sk0_11)),set_type)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f3407,plain,(
% 17.14/2.57 ~ilf_type(power_set(cross_product(sk0_13,sk0_11)),set_type)|spl0_46),
% 17.14/2.57 inference(component_clause,[status(thm)],[f3405])).
% 17.14/2.57 fof(f3408,plain,(
% 17.14/2.57 spl0_47 <=> member(sk0_14,power_set(cross_product(sk0_13,sk0_11)))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f3409,plain,(
% 17.14/2.57 member(sk0_14,power_set(cross_product(sk0_13,sk0_11)))|~spl0_47),
% 17.14/2.57 inference(component_clause,[status(thm)],[f3408])).
% 17.14/2.57 fof(f3411,plain,(
% 17.14/2.57 empty(power_set(cross_product(sk0_13,sk0_11)))|~ilf_type(power_set(cross_product(sk0_13,sk0_11)),set_type)|member(sk0_14,power_set(cross_product(sk0_13,sk0_11)))|~spl0_38),
% 17.14/2.57 inference(resolution,[status(thm)],[f3361,f201])).
% 17.14/2.57 fof(f3412,plain,(
% 17.14/2.57 spl0_45|~spl0_46|spl0_47|~spl0_38),
% 17.14/2.57 inference(split_clause,[status(thm)],[f3411,f3402,f3405,f3408,f3360])).
% 17.14/2.57 fof(f3413,plain,(
% 17.14/2.57 $false|spl0_46),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f3407,f125])).
% 17.14/2.57 fof(f3414,plain,(
% 17.14/2.57 spl0_46),
% 17.14/2.57 inference(contradiction_clause,[status(thm)],[f3413])).
% 17.14/2.57 fof(f3415,plain,(
% 17.14/2.57 $false|~spl0_45),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f3403,f2175])).
% 17.14/2.57 fof(f3416,plain,(
% 17.14/2.57 ~spl0_45),
% 17.14/2.57 inference(contradiction_clause,[status(thm)],[f3415])).
% 17.14/2.57 fof(f3424,plain,(
% 17.14/2.57 spl0_48 <=> ilf_type(image4(sk0_13,sk0_11,sk0_14,X0),member_type(power_set(sk0_11)))),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f3427,plain,(
% 17.14/2.57 ![X0]: (empty(power_set(sk0_11))|~ilf_type(power_set(sk0_11),set_type)|ilf_type(image4(sk0_13,sk0_11,sk0_14,X0),member_type(power_set(sk0_11)))|~spl0_44)),
% 17.14/2.57 inference(resolution,[status(thm)],[f3395,f219])).
% 17.14/2.57 fof(f3428,plain,(
% 17.14/2.57 spl0_39|~spl0_40|spl0_48|~spl0_44),
% 17.14/2.57 inference(split_clause,[status(thm)],[f3427,f3366,f3369,f3424,f3394])).
% 17.14/2.57 fof(f3438,plain,(
% 17.14/2.57 ![X0]: (empty(image(sk0_14,X0))|~empty(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_3(image(sk0_14,X0)),set_type)|~spl0_27)),
% 17.14/2.57 inference(resolution,[status(thm)],[f2240,f172])).
% 17.14/2.57 fof(f3439,plain,(
% 17.14/2.57 ![X0]: (empty(image(sk0_14,X0))|~empty(image4(sk0_13,sk0_11,sk0_14,X0))|~spl0_27)),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f3438,f125])).
% 17.14/2.57 fof(f3455,plain,(
% 17.14/2.57 spl0_50 <=> empty(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|member(sk0_0(sk0_14,sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),X0),X0)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f3458,plain,(
% 17.14/2.57 ![X0]: (empty(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(sk0_0(sk0_14,sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),X0),X0)|~spl0_27)),
% 17.14/2.57 inference(resolution,[status(thm)],[f2216,f3309])).
% 17.14/2.57 fof(f3459,plain,(
% 17.14/2.57 spl0_50|~spl0_34|~spl0_27),
% 17.14/2.57 inference(split_clause,[status(thm)],[f3458,f3455,f3317,f306])).
% 17.14/2.57 fof(f3460,plain,(
% 17.14/2.57 spl0_51 <=> empty(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|member(ordered_pair(sk0_0(sk0_14,sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),X0),sk0_3(image4(sk0_13,sk0_11,sk0_14,X0))),sk0_14)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f3463,plain,(
% 17.14/2.57 ![X0]: (empty(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(ordered_pair(sk0_0(sk0_14,sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),X0),sk0_3(image4(sk0_13,sk0_11,sk0_14,X0))),sk0_14)|~spl0_27)),
% 17.14/2.57 inference(resolution,[status(thm)],[f2216,f3302])).
% 17.14/2.57 fof(f3464,plain,(
% 17.14/2.57 spl0_51|~spl0_34|~spl0_27),
% 17.14/2.57 inference(split_clause,[status(thm)],[f3463,f3460,f3317,f306])).
% 17.14/2.57 fof(f3466,plain,(
% 17.14/2.57 ![X0]: (empty(image4(sk0_13,sk0_11,sk0_14,X0))|empty(image(sk0_14,X0))|~ilf_type(image(sk0_14,X0),set_type)|ilf_type(sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),member_type(image(sk0_14,X0)))|~spl0_27)),
% 17.14/2.57 inference(resolution,[status(thm)],[f2216,f219])).
% 17.14/2.57 fof(f3467,plain,(
% 17.14/2.57 ![X0]: (empty(image(sk0_14,X0))|~ilf_type(image(sk0_14,X0),set_type)|ilf_type(sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),member_type(image(sk0_14,X0)))|~spl0_27)),
% 17.14/2.57 inference(forward_subsumption_resolution,[status(thm)],[f3466,f3439])).
% 17.14/2.57 fof(f3470,plain,(
% 17.14/2.57 ![X0]: (empty(image4(sk0_13,sk0_11,sk0_14,X0))|member(sk0_3(image(sk0_14,X0)),image(sk0_14,X0))|~spl0_27)),
% 17.14/2.57 inference(paramodulation,[status(thm)],[f311,f2216])).
% 17.14/2.57 fof(f3471,plain,(
% 17.14/2.57 spl0_52 <=> relation_like(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_10(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|member(sk0_0(sk0_14,sk0_10(image4(sk0_13,sk0_11,sk0_14,X0)),X0),X0)),
% 17.14/2.57 introduced(split_symbol_definition)).
% 17.14/2.57 fof(f3474,plain,(
% 17.14/2.57 ![X0]: (relation_like(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_10(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(sk0_0(sk0_14,sk0_10(image4(sk0_13,sk0_11,sk0_14,X0)),X0),X0)|~spl0_27)),
% 17.14/2.57 inference(resolution,[status(thm)],[f2272,f3309])).
% 17.58/2.58 fof(f3475,plain,(
% 17.58/2.58 spl0_52|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f3474,f3471,f3317,f306])).
% 17.58/2.58 fof(f3476,plain,(
% 17.58/2.58 spl0_53 <=> relation_like(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_10(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|member(ordered_pair(sk0_0(sk0_14,sk0_10(image4(sk0_13,sk0_11,sk0_14,X0)),X0),sk0_10(image4(sk0_13,sk0_11,sk0_14,X0))),sk0_14)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f3479,plain,(
% 17.58/2.58 ![X0]: (relation_like(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_10(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(ordered_pair(sk0_0(sk0_14,sk0_10(image4(sk0_13,sk0_11,sk0_14,X0)),X0),sk0_10(image4(sk0_13,sk0_11,sk0_14,X0))),sk0_14)|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f2272,f3302])).
% 17.58/2.58 fof(f3480,plain,(
% 17.58/2.58 spl0_53|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f3479,f3476,f3317,f306])).
% 17.58/2.58 fof(f3486,plain,(
% 17.58/2.58 ![X0]: (relation_like(image4(sk0_13,sk0_11,sk0_14,X0))|member(sk0_10(image(sk0_14,X0)),image(sk0_14,X0))|~spl0_27)),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f311,f2272])).
% 17.58/2.58 fof(f3489,plain,(
% 17.58/2.58 spl0_54 <=> empty(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_3(image(sk0_14,X0)),set_type)|member(sk0_0(sk0_14,sk0_3(image(sk0_14,X0)),X0),X0)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f3492,plain,(
% 17.58/2.58 ![X0]: (empty(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_3(image(sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(sk0_0(sk0_14,sk0_3(image(sk0_14,X0)),X0),X0)|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f3470,f3309])).
% 17.58/2.58 fof(f3493,plain,(
% 17.58/2.58 spl0_54|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f3492,f3489,f3317,f306])).
% 17.58/2.58 fof(f3494,plain,(
% 17.58/2.58 spl0_55 <=> empty(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_3(image(sk0_14,X0)),set_type)|member(ordered_pair(sk0_0(sk0_14,sk0_3(image(sk0_14,X0)),X0),sk0_3(image(sk0_14,X0))),sk0_14)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f3497,plain,(
% 17.58/2.58 ![X0]: (empty(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_3(image(sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(ordered_pair(sk0_0(sk0_14,sk0_3(image(sk0_14,X0)),X0),sk0_3(image(sk0_14,X0))),sk0_14)|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f3470,f3302])).
% 17.58/2.58 fof(f3498,plain,(
% 17.58/2.58 spl0_55|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f3497,f3494,f3317,f306])).
% 17.58/2.58 fof(f3502,plain,(
% 17.58/2.58 spl0_56 <=> relation_like(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_10(image(sk0_14,X0)),set_type)|member(sk0_0(sk0_14,sk0_10(image(sk0_14,X0)),X0),X0)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f3505,plain,(
% 17.58/2.58 ![X0]: (relation_like(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_10(image(sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(sk0_0(sk0_14,sk0_10(image(sk0_14,X0)),X0),X0)|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f3486,f3309])).
% 17.58/2.58 fof(f3506,plain,(
% 17.58/2.58 spl0_56|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f3505,f3502,f3317,f306])).
% 17.58/2.58 fof(f3507,plain,(
% 17.58/2.58 spl0_57 <=> relation_like(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_10(image(sk0_14,X0)),set_type)|member(ordered_pair(sk0_0(sk0_14,sk0_10(image(sk0_14,X0)),X0),sk0_10(image(sk0_14,X0))),sk0_14)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f3510,plain,(
% 17.58/2.58 ![X0]: (relation_like(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_10(image(sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(ordered_pair(sk0_0(sk0_14,sk0_10(image(sk0_14,X0)),X0),sk0_10(image(sk0_14,X0))),sk0_14)|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f3486,f3302])).
% 17.58/2.58 fof(f3511,plain,(
% 17.58/2.58 spl0_57|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f3510,f3507,f3317,f306])).
% 17.58/2.58 fof(f3529,plain,(
% 17.58/2.58 spl0_58 <=> empty(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|member(sk0_0(sk0_14,sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),X0),X0)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f3532,plain,(
% 17.58/2.58 ![X0]: (empty(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(sk0_0(sk0_14,sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),X0),X0)|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f2330,f3309])).
% 17.58/2.58 fof(f3533,plain,(
% 17.58/2.58 spl0_58|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f3532,f3529,f3317,f306])).
% 17.58/2.58 fof(f3534,plain,(
% 17.58/2.58 spl0_59 <=> empty(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|member(ordered_pair(sk0_0(sk0_14,sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),X0),sk0_2(image4(sk0_13,sk0_11,sk0_14,X0))),sk0_14)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f3537,plain,(
% 17.58/2.58 ![X0]: (empty(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(ordered_pair(sk0_0(sk0_14,sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),X0),sk0_2(image4(sk0_13,sk0_11,sk0_14,X0))),sk0_14)|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f2330,f3302])).
% 17.58/2.58 fof(f3538,plain,(
% 17.58/2.58 spl0_59|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f3537,f3534,f3317,f306])).
% 17.58/2.58 fof(f3540,plain,(
% 17.58/2.58 ![X0]: (empty(image4(sk0_13,sk0_11,sk0_14,X0))|empty(image(sk0_14,X0))|~ilf_type(image(sk0_14,X0),set_type)|ilf_type(sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),member_type(image(sk0_14,X0)))|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f2330,f219])).
% 17.58/2.58 fof(f3541,plain,(
% 17.58/2.58 ![X0]: (empty(image(sk0_14,X0))|~ilf_type(image(sk0_14,X0),set_type)|ilf_type(sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),member_type(image(sk0_14,X0)))|~spl0_27)),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f3540,f3439])).
% 17.58/2.58 fof(f3543,plain,(
% 17.58/2.58 ![X0]: (empty(image4(sk0_13,sk0_11,sk0_14,X0))|member(sk0_2(image(sk0_14,X0)),image(sk0_14,X0))|~spl0_27)),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f311,f2330])).
% 17.58/2.58 fof(f3544,plain,(
% 17.58/2.58 spl0_60 <=> empty(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_2(image(sk0_14,X0)),set_type)|member(sk0_0(sk0_14,sk0_2(image(sk0_14,X0)),X0),X0)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f3547,plain,(
% 17.58/2.58 ![X0]: (empty(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_2(image(sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(sk0_0(sk0_14,sk0_2(image(sk0_14,X0)),X0),X0)|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f3543,f3309])).
% 17.58/2.58 fof(f3548,plain,(
% 17.58/2.58 spl0_60|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f3547,f3544,f3317,f306])).
% 17.58/2.58 fof(f3549,plain,(
% 17.58/2.58 spl0_61 <=> empty(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_2(image(sk0_14,X0)),set_type)|member(ordered_pair(sk0_0(sk0_14,sk0_2(image(sk0_14,X0)),X0),sk0_2(image(sk0_14,X0))),sk0_14)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f3552,plain,(
% 17.58/2.58 ![X0]: (empty(image4(sk0_13,sk0_11,sk0_14,X0))|~ilf_type(sk0_2(image(sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(ordered_pair(sk0_0(sk0_14,sk0_2(image(sk0_14,X0)),X0),sk0_2(image(sk0_14,X0))),sk0_14)|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f3543,f3302])).
% 17.58/2.58 fof(f3553,plain,(
% 17.58/2.58 spl0_61|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f3552,f3549,f3317,f306])).
% 17.58/2.58 fof(f3633,plain,(
% 17.58/2.58 ![X0]: (empty(image(sk0_14,X0))|ilf_type(sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),member_type(image(sk0_14,X0)))|~spl0_27)),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f3467,f125])).
% 17.58/2.58 fof(f3634,plain,(
% 17.58/2.58 ![X0]: (empty(image(sk0_14,X0))|empty(image(sk0_14,X0))|~ilf_type(image(sk0_14,X0),set_type)|member(sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),image(sk0_14,X0))|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f3633,f201])).
% 17.58/2.58 fof(f3635,plain,(
% 17.58/2.58 ![X0]: (empty(image(sk0_14,X0))|~ilf_type(image(sk0_14,X0),set_type)|member(sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),image(sk0_14,X0))|~spl0_27)),
% 17.58/2.58 inference(duplicate_literals_removal,[status(esa)],[f3634])).
% 17.58/2.58 fof(f3636,plain,(
% 17.58/2.58 ![X0]: (empty(image(sk0_14,X0))|member(sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),image(sk0_14,X0))|~spl0_27)),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f3635,f125])).
% 17.58/2.58 fof(f3638,plain,(
% 17.58/2.58 spl0_62 <=> empty(image(sk0_14,X0))|~ilf_type(sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|member(sk0_0(sk0_14,sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),X0),X0)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f3641,plain,(
% 17.58/2.58 ![X0]: (empty(image(sk0_14,X0))|~ilf_type(sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(sk0_0(sk0_14,sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),X0),X0)|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f3636,f3309])).
% 17.58/2.58 fof(f3642,plain,(
% 17.58/2.58 spl0_62|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f3641,f3638,f3317,f306])).
% 17.58/2.58 fof(f3643,plain,(
% 17.58/2.58 spl0_63 <=> empty(image(sk0_14,X0))|~ilf_type(sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|member(ordered_pair(sk0_0(sk0_14,sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),X0),sk0_3(image4(sk0_13,sk0_11,sk0_14,X0))),sk0_14)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f3646,plain,(
% 17.58/2.58 ![X0]: (empty(image(sk0_14,X0))|~ilf_type(sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(ordered_pair(sk0_0(sk0_14,sk0_3(image4(sk0_13,sk0_11,sk0_14,X0)),X0),sk0_3(image4(sk0_13,sk0_11,sk0_14,X0))),sk0_14)|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f3636,f3302])).
% 17.58/2.58 fof(f3647,plain,(
% 17.58/2.58 spl0_63|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f3646,f3643,f3317,f306])).
% 17.58/2.58 fof(f3664,plain,(
% 17.58/2.58 ![X0]: (empty(image(sk0_14,X0))|ilf_type(sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),member_type(image(sk0_14,X0)))|~spl0_27)),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f3541,f125])).
% 17.58/2.58 fof(f3665,plain,(
% 17.58/2.58 ![X0]: (empty(image(sk0_14,X0))|empty(image(sk0_14,X0))|~ilf_type(image(sk0_14,X0),set_type)|member(sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),image(sk0_14,X0))|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f3664,f201])).
% 17.58/2.58 fof(f3666,plain,(
% 17.58/2.58 ![X0]: (empty(image(sk0_14,X0))|~ilf_type(image(sk0_14,X0),set_type)|member(sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),image(sk0_14,X0))|~spl0_27)),
% 17.58/2.58 inference(duplicate_literals_removal,[status(esa)],[f3665])).
% 17.58/2.58 fof(f3667,plain,(
% 17.58/2.58 ![X0]: (empty(image(sk0_14,X0))|member(sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),image(sk0_14,X0))|~spl0_27)),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f3666,f125])).
% 17.58/2.58 fof(f3669,plain,(
% 17.58/2.58 spl0_64 <=> empty(image(sk0_14,X0))|~ilf_type(sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|member(sk0_0(sk0_14,sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),X0),X0)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f3672,plain,(
% 17.58/2.58 ![X0]: (empty(image(sk0_14,X0))|~ilf_type(sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(sk0_0(sk0_14,sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),X0),X0)|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f3667,f3309])).
% 17.58/2.58 fof(f3673,plain,(
% 17.58/2.58 spl0_64|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f3672,f3669,f3317,f306])).
% 17.58/2.58 fof(f3674,plain,(
% 17.58/2.58 spl0_65 <=> empty(image(sk0_14,X0))|~ilf_type(sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|member(ordered_pair(sk0_0(sk0_14,sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),X0),sk0_2(image4(sk0_13,sk0_11,sk0_14,X0))),sk0_14)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f3677,plain,(
% 17.58/2.58 ![X0]: (empty(image(sk0_14,X0))|~ilf_type(sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(ordered_pair(sk0_0(sk0_14,sk0_2(image4(sk0_13,sk0_11,sk0_14,X0)),X0),sk0_2(image4(sk0_13,sk0_11,sk0_14,X0))),sk0_14)|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f3667,f3302])).
% 17.58/2.58 fof(f3678,plain,(
% 17.58/2.58 spl0_65|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f3677,f3674,f3317,f306])).
% 17.58/2.58 fof(f3955,plain,(
% 17.58/2.58 ![X0,X1,X2]: (X0=X1|member(sk0_6(X1,X0),X1)|~X0=X2|member(sk0_6(X1,X0),X2))),
% 17.58/2.58 inference(resolution,[status(thm)],[f3354,f298])).
% 17.58/2.58 fof(f4643,plain,(
% 17.58/2.58 ![X0,X1]: (image4(sk0_13,sk0_11,sk0_14,X0)=X1|member(sk0_6(X1,image4(sk0_13,sk0_11,sk0_14,X0)),X1)|member(sk0_6(X1,image4(sk0_13,sk0_11,sk0_14,X0)),image(sk0_14,X0))|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f3955,f311])).
% 17.58/2.58 fof(f6373,plain,(
% 17.58/2.58 $false|spl0_29),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f323,f125])).
% 17.58/2.58 fof(f6374,plain,(
% 17.58/2.58 spl0_29),
% 17.58/2.58 inference(contradiction_clause,[status(thm)],[f6373])).
% 17.58/2.58 fof(f7001,plain,(
% 17.58/2.58 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~member(X1,power_set(X0))|~ilf_type(X2,set_type)|~member(X2,X1)|member(X2,X0))),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f101,f125])).
% 17.58/2.58 fof(f7020,plain,(
% 17.58/2.58 spl0_69 <=> ~ilf_type(X0,set_type)|~member(X0,image4(sk0_13,sk0_11,sk0_14,X1))|member(X0,sk0_11)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7023,plain,(
% 17.58/2.58 ![X0,X1]: (~ilf_type(sk0_11,set_type)|~ilf_type(X0,set_type)|~member(X0,image4(sk0_13,sk0_11,sk0_14,X1))|member(X0,sk0_11)|~spl0_44)),
% 17.58/2.58 inference(resolution,[status(thm)],[f7001,f3395])).
% 17.58/2.58 fof(f7024,plain,(
% 17.58/2.58 ~spl0_15|spl0_69|~spl0_44),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7023,f205,f7020,f3394])).
% 17.58/2.58 fof(f7025,plain,(
% 17.58/2.58 spl0_70 <=> ilf_type(cross_product(sk0_13,sk0_11),set_type)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7027,plain,(
% 17.58/2.58 ~ilf_type(cross_product(sk0_13,sk0_11),set_type)|spl0_70),
% 17.58/2.58 inference(component_clause,[status(thm)],[f7025])).
% 17.58/2.58 fof(f7028,plain,(
% 17.58/2.58 spl0_71 <=> ~ilf_type(X0,set_type)|~member(X0,sk0_14)|member(X0,cross_product(sk0_13,sk0_11))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7029,plain,(
% 17.58/2.58 ![X0]: (~ilf_type(X0,set_type)|~member(X0,sk0_14)|member(X0,cross_product(sk0_13,sk0_11))|~spl0_71)),
% 17.58/2.58 inference(component_clause,[status(thm)],[f7028])).
% 17.58/2.58 fof(f7031,plain,(
% 17.58/2.58 ![X0]: (~ilf_type(cross_product(sk0_13,sk0_11),set_type)|~ilf_type(X0,set_type)|~member(X0,sk0_14)|member(X0,cross_product(sk0_13,sk0_11))|~spl0_47)),
% 17.58/2.58 inference(resolution,[status(thm)],[f7001,f3409])).
% 17.58/2.58 fof(f7032,plain,(
% 17.58/2.58 ~spl0_70|spl0_71|~spl0_47),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7031,f7025,f7028,f3408])).
% 17.58/2.58 fof(f7035,plain,(
% 17.58/2.58 spl0_72 <=> ~ilf_type(X0,set_type)|~member(X0,image(sk0_14,X1))|member(X0,sk0_11)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7038,plain,(
% 17.58/2.58 ![X0,X1]: (~ilf_type(sk0_11,set_type)|~ilf_type(X0,set_type)|~member(X0,image(sk0_14,X1))|member(X0,sk0_11)|~spl0_41)),
% 17.58/2.58 inference(resolution,[status(thm)],[f7001,f3373])).
% 17.58/2.58 fof(f7039,plain,(
% 17.58/2.58 ~spl0_15|spl0_72|~spl0_41),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7038,f205,f7035,f3372])).
% 17.58/2.58 fof(f7046,plain,(
% 17.58/2.58 $false|spl0_70),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f7027,f125])).
% 17.58/2.58 fof(f7047,plain,(
% 17.58/2.58 spl0_70),
% 17.58/2.58 inference(contradiction_clause,[status(thm)],[f7046])).
% 17.58/2.58 fof(f7050,plain,(
% 17.58/2.58 ![X0]: (~member(X0,sk0_14)|member(X0,cross_product(sk0_13,sk0_11))|~spl0_71)),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f7029,f125])).
% 17.58/2.58 fof(f7054,plain,(
% 17.58/2.58 ![X0,X1]: (~relation_like(X0)|~ilf_type(X1,set_type)|~member(X1,X0)|X1=ordered_pair(sk0_8(X1,X0),sk0_9(X1,X0)))),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f113,f125])).
% 17.58/2.58 fof(f7164,plain,(
% 17.58/2.58 spl0_78 <=> relation_like(sk0_14)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7165,plain,(
% 17.58/2.58 relation_like(sk0_14)|~spl0_78),
% 17.58/2.58 inference(component_clause,[status(thm)],[f7164])).
% 17.58/2.58 fof(f7167,plain,(
% 17.58/2.58 spl0_79 <=> ordered_pair(sk0_16,sk0_15)=ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7168,plain,(
% 17.58/2.58 ordered_pair(sk0_16,sk0_15)=ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14))|~spl0_79),
% 17.58/2.58 inference(component_clause,[status(thm)],[f7167])).
% 17.58/2.58 fof(f7170,plain,(
% 17.58/2.58 ~relation_like(sk0_14)|~ilf_type(ordered_pair(sk0_16,sk0_15),set_type)|ordered_pair(sk0_16,sk0_15)=ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14))|~spl0_5),
% 17.58/2.58 inference(resolution,[status(thm)],[f7054,f160])).
% 17.58/2.58 fof(f7171,plain,(
% 17.58/2.58 ~spl0_78|~spl0_9|spl0_79|~spl0_5),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7170,f7164,f176,f7167,f159])).
% 17.58/2.58 fof(f7199,plain,(
% 17.58/2.58 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,subset_type(cross_product(X2,X0)))|relation_like(X1))),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f120,f125])).
% 17.58/2.58 fof(f7214,plain,(
% 17.58/2.58 ~ilf_type(sk0_11,set_type)|relation_like(sk0_14)|~spl0_36),
% 17.58/2.58 inference(resolution,[status(thm)],[f7199,f3332])).
% 17.58/2.58 fof(f7215,plain,(
% 17.58/2.58 ~spl0_15|spl0_78|~spl0_36),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7214,f205,f7164,f3331])).
% 17.58/2.58 fof(f7216,plain,(
% 17.58/2.58 $false|~spl0_10),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f182,f131])).
% 17.58/2.58 fof(f7217,plain,(
% 17.58/2.58 ~spl0_10),
% 17.58/2.58 inference(contradiction_clause,[status(thm)],[f7216])).
% 17.58/2.58 fof(f7235,plain,(
% 17.58/2.58 ilf_type(sk0_14,binary_relation_type)|~spl0_78),
% 17.58/2.58 inference(resolution,[status(thm)],[f7165,f2182])).
% 17.58/2.58 fof(f7236,plain,(
% 17.58/2.58 $false|spl0_34|~spl0_78),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f7235,f3319])).
% 17.58/2.58 fof(f7237,plain,(
% 17.58/2.58 spl0_34|~spl0_78),
% 17.58/2.58 inference(contradiction_clause,[status(thm)],[f7236])).
% 17.58/2.58 fof(f7261,plain,(
% 17.58/2.58 spl0_88 <=> member(sk0_0(sk0_14,sk0_15,sk0_12),sk0_12)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7266,plain,(
% 17.58/2.58 spl0_89 <=> member(ordered_pair(sk0_0(sk0_14,sk0_15,sk0_12),sk0_15),sk0_14)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7267,plain,(
% 17.58/2.58 member(ordered_pair(sk0_0(sk0_14,sk0_15,sk0_12),sk0_15),sk0_14)|~spl0_89),
% 17.58/2.58 inference(component_clause,[status(thm)],[f7266])).
% 17.58/2.58 fof(f7331,plain,(
% 17.58/2.58 spl0_95 <=> member(sk0_15,image(sk0_14,sk0_12))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7332,plain,(
% 17.58/2.58 member(sk0_15,image(sk0_14,sk0_12))|~spl0_95),
% 17.58/2.58 inference(component_clause,[status(thm)],[f7331])).
% 17.58/2.58 fof(f7334,plain,(
% 17.58/2.58 empty(image(sk0_14,sk0_12))|~ilf_type(image(sk0_14,sk0_12),set_type)|member(sk0_15,image(sk0_14,sk0_12))|~spl0_30),
% 17.58/2.58 inference(resolution,[status(thm)],[f325,f201])).
% 17.58/2.58 fof(f7335,plain,(
% 17.58/2.58 spl0_28|~spl0_29|spl0_95|~spl0_30),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7334,f318,f321,f7331,f324])).
% 17.58/2.58 fof(f7338,plain,(
% 17.58/2.58 spl0_96 <=> ilf_type(sk0_0(sk0_14,sk0_15,sk0_12),set_type)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7340,plain,(
% 17.58/2.58 ~ilf_type(sk0_0(sk0_14,sk0_15,sk0_12),set_type)|spl0_96),
% 17.58/2.58 inference(component_clause,[status(thm)],[f7338])).
% 17.58/2.58 fof(f7354,plain,(
% 17.58/2.58 $false|spl0_96),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f7340,f125])).
% 17.58/2.58 fof(f7355,plain,(
% 17.58/2.58 spl0_96),
% 17.58/2.58 inference(contradiction_clause,[status(thm)],[f7354])).
% 17.58/2.58 fof(f7374,plain,(
% 17.58/2.58 spl0_99 <=> image4(sk0_13,sk0_11,sk0_14,X0)=image(sk0_14,X0)|~ilf_type(sk0_6(image(sk0_14,X0),image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|member(sk0_0(sk0_14,sk0_6(image(sk0_14,X0),image4(sk0_13,sk0_11,sk0_14,X0)),X0),X0)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7377,plain,(
% 17.58/2.58 ![X0]: (image4(sk0_13,sk0_11,sk0_14,X0)=image(sk0_14,X0)|~ilf_type(sk0_6(image(sk0_14,X0),image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(sk0_0(sk0_14,sk0_6(image(sk0_14,X0),image4(sk0_13,sk0_11,sk0_14,X0)),X0),X0)|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f4643,f3309])).
% 17.58/2.58 fof(f7378,plain,(
% 17.58/2.58 spl0_99|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7377,f7374,f3317,f306])).
% 17.58/2.58 fof(f7381,plain,(
% 17.58/2.58 spl0_100 <=> image4(sk0_13,sk0_11,sk0_14,X0)=image(sk0_14,X0)|~ilf_type(sk0_6(image(sk0_14,X0),image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|member(ordered_pair(sk0_0(sk0_14,sk0_6(image(sk0_14,X0),image4(sk0_13,sk0_11,sk0_14,X0)),X0),sk0_6(image(sk0_14,X0),image4(sk0_13,sk0_11,sk0_14,X0))),sk0_14)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7384,plain,(
% 17.58/2.58 ![X0]: (image4(sk0_13,sk0_11,sk0_14,X0)=image(sk0_14,X0)|~ilf_type(sk0_6(image(sk0_14,X0),image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(ordered_pair(sk0_0(sk0_14,sk0_6(image(sk0_14,X0),image4(sk0_13,sk0_11,sk0_14,X0)),X0),sk0_6(image(sk0_14,X0),image4(sk0_13,sk0_11,sk0_14,X0))),sk0_14)|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f4643,f3302])).
% 17.58/2.58 fof(f7385,plain,(
% 17.58/2.58 spl0_100|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7384,f7381,f3317,f306])).
% 17.58/2.58 fof(f7399,plain,(
% 17.58/2.58 spl0_101 <=> image4(sk0_13,sk0_11,sk0_14,X0)=X1|member(sk0_6(X1,image4(sk0_13,sk0_11,sk0_14,X0)),X1)|~ilf_type(sk0_6(X1,image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|member(sk0_0(sk0_14,sk0_6(X1,image4(sk0_13,sk0_11,sk0_14,X0)),X0),X0)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7402,plain,(
% 17.58/2.58 ![X0,X1]: (image4(sk0_13,sk0_11,sk0_14,X0)=X1|member(sk0_6(X1,image4(sk0_13,sk0_11,sk0_14,X0)),X1)|~ilf_type(sk0_6(X1,image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(sk0_0(sk0_14,sk0_6(X1,image4(sk0_13,sk0_11,sk0_14,X0)),X0),X0)|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f4643,f3309])).
% 17.58/2.58 fof(f7403,plain,(
% 17.58/2.58 spl0_101|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7402,f7399,f3317,f306])).
% 17.58/2.58 fof(f7404,plain,(
% 17.58/2.58 spl0_102 <=> image4(sk0_13,sk0_11,sk0_14,X0)=X1|member(sk0_6(X1,image4(sk0_13,sk0_11,sk0_14,X0)),X1)|~ilf_type(sk0_6(X1,image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|member(ordered_pair(sk0_0(sk0_14,sk0_6(X1,image4(sk0_13,sk0_11,sk0_14,X0)),X0),sk0_6(X1,image4(sk0_13,sk0_11,sk0_14,X0))),sk0_14)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7407,plain,(
% 17.58/2.58 ![X0,X1]: (image4(sk0_13,sk0_11,sk0_14,X0)=X1|member(sk0_6(X1,image4(sk0_13,sk0_11,sk0_14,X0)),X1)|~ilf_type(sk0_6(X1,image4(sk0_13,sk0_11,sk0_14,X0)),set_type)|~ilf_type(sk0_14,binary_relation_type)|member(ordered_pair(sk0_0(sk0_14,sk0_6(X1,image4(sk0_13,sk0_11,sk0_14,X0)),X0),sk0_6(X1,image4(sk0_13,sk0_11,sk0_14,X0))),sk0_14)|~spl0_27)),
% 17.58/2.58 inference(resolution,[status(thm)],[f4643,f3302])).
% 17.58/2.58 fof(f7408,plain,(
% 17.58/2.58 spl0_102|~spl0_34|~spl0_27),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7407,f7404,f3317,f306])).
% 17.58/2.58 fof(f7610,plain,(
% 17.58/2.58 spl0_104 <=> member(sk0_2(sk0_14),cross_product(sk0_13,sk0_11))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7613,plain,(
% 17.58/2.58 member(sk0_2(sk0_14),cross_product(sk0_13,sk0_11))|empty(sk0_14)|~spl0_71),
% 17.58/2.58 inference(resolution,[status(thm)],[f7050,f2303])).
% 17.58/2.58 fof(f7614,plain,(
% 17.58/2.58 spl0_104|spl0_8|~spl0_71),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7613,f7610,f173,f7028])).
% 17.58/2.58 fof(f7620,plain,(
% 17.58/2.58 spl0_106 <=> member(sk0_3(sk0_14),cross_product(sk0_13,sk0_11))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7623,plain,(
% 17.58/2.58 member(sk0_3(sk0_14),cross_product(sk0_13,sk0_11))|empty(sk0_14)|~spl0_71),
% 17.58/2.58 inference(resolution,[status(thm)],[f7050,f2188])).
% 17.58/2.58 fof(f7624,plain,(
% 17.58/2.58 spl0_106|spl0_8|~spl0_71),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7623,f7620,f173,f7028])).
% 17.58/2.58 fof(f7628,plain,(
% 17.58/2.58 spl0_107 <=> ilf_type(sk0_0(sk0_14,sk0_15,sk0_12),member_type(sk0_13))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7631,plain,(
% 17.58/2.58 ~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_89|~spl0_7),
% 17.58/2.58 inference(resolution,[status(thm)],[f7267,f168])).
% 17.58/2.58 fof(f7632,plain,(
% 17.58/2.58 ~spl0_107|~spl0_88|~spl0_89|~spl0_7),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7631,f7628,f7261,f7266,f167])).
% 17.58/2.58 fof(f7633,plain,(
% 17.58/2.58 member(sk0_0(sk0_14,sk0_15,sk0_12),sk0_13)|~spl0_89|~spl0_25),
% 17.58/2.58 inference(resolution,[status(thm)],[f7267,f287])).
% 17.58/2.58 fof(f7640,plain,(
% 17.58/2.58 spl0_109 <=> ilf_type(ordered_pair(sk0_0(sk0_14,sk0_15,sk0_12),sk0_15),set_type)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7642,plain,(
% 17.58/2.58 ~ilf_type(ordered_pair(sk0_0(sk0_14,sk0_15,sk0_12),sk0_15),set_type)|spl0_109),
% 17.58/2.58 inference(component_clause,[status(thm)],[f7640])).
% 17.58/2.58 fof(f7656,plain,(
% 17.58/2.58 $false|spl0_109),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f7642,f125])).
% 17.58/2.58 fof(f7657,plain,(
% 17.58/2.58 spl0_109),
% 17.58/2.58 inference(contradiction_clause,[status(thm)],[f7656])).
% 17.58/2.58 fof(f7666,plain,(
% 17.58/2.58 empty(sk0_13)|~ilf_type(sk0_13,set_type)|ilf_type(sk0_0(sk0_14,sk0_15,sk0_12),member_type(sk0_13))|~spl0_89|~spl0_25),
% 17.58/2.58 inference(resolution,[status(thm)],[f7633,f219])).
% 17.58/2.58 fof(f7667,plain,(
% 17.58/2.58 spl0_20|~spl0_21|spl0_107|~spl0_89|~spl0_25),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7666,f237,f240,f7628,f7266,f281])).
% 17.58/2.58 fof(f7713,plain,(
% 17.58/2.58 member(sk0_15,image(sk0_14,sk0_12))|~spl0_35|~spl0_6),
% 17.58/2.58 inference(resolution,[status(thm)],[f3321,f164])).
% 17.58/2.58 fof(f7722,plain,(
% 17.58/2.58 spl0_113 <=> empty(ordered_pair(sk0_16,sk0_15))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7725,plain,(
% 17.58/2.58 spl0_114 <=> member(sk0_2(ordered_pair(sk0_16,sk0_15)),ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7728,plain,(
% 17.58/2.58 empty(ordered_pair(sk0_16,sk0_15))|member(sk0_2(ordered_pair(sk0_16,sk0_15)),ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))|~spl0_79),
% 17.58/2.58 inference(resolution,[status(thm)],[f7168,f2304])).
% 17.58/2.58 fof(f7729,plain,(
% 17.58/2.58 spl0_113|spl0_114|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7728,f7722,f7725,f7167])).
% 17.58/2.58 fof(f7730,plain,(
% 17.58/2.58 spl0_115 <=> relation_like(ordered_pair(sk0_16,sk0_15))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7733,plain,(
% 17.58/2.58 spl0_116 <=> member(sk0_10(ordered_pair(sk0_16,sk0_15)),ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7736,plain,(
% 17.58/2.58 relation_like(ordered_pair(sk0_16,sk0_15))|member(sk0_10(ordered_pair(sk0_16,sk0_15)),ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))|~spl0_79),
% 17.58/2.58 inference(resolution,[status(thm)],[f7168,f2245])).
% 17.58/2.58 fof(f7737,plain,(
% 17.58/2.58 spl0_115|spl0_116|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7736,f7730,f7733,f7167])).
% 17.58/2.58 fof(f7738,plain,(
% 17.58/2.58 spl0_117 <=> member(sk0_3(ordered_pair(sk0_16,sk0_15)),ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7741,plain,(
% 17.58/2.58 empty(ordered_pair(sk0_16,sk0_15))|member(sk0_3(ordered_pair(sk0_16,sk0_15)),ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))|~spl0_79),
% 17.58/2.58 inference(resolution,[status(thm)],[f7168,f2189])).
% 17.58/2.58 fof(f7742,plain,(
% 17.58/2.58 spl0_113|spl0_117|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7741,f7722,f7738,f7167])).
% 17.58/2.58 fof(f7750,plain,(
% 17.58/2.58 spl0_118 <=> empty(ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7753,plain,(
% 17.58/2.58 spl0_119 <=> member(sk0_2(ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14))),ordered_pair(sk0_16,sk0_15))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7756,plain,(
% 17.58/2.58 empty(ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))|member(sk0_2(ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14))),ordered_pair(sk0_16,sk0_15))|~spl0_79),
% 17.58/2.58 inference(resolution,[status(thm)],[f7168,f2304])).
% 17.58/2.58 fof(f7757,plain,(
% 17.58/2.58 spl0_118|spl0_119|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7756,f7750,f7753,f7167])).
% 17.58/2.58 fof(f7758,plain,(
% 17.58/2.58 spl0_120 <=> relation_like(ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7761,plain,(
% 17.58/2.58 spl0_121 <=> member(sk0_10(ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14))),ordered_pair(sk0_16,sk0_15))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7764,plain,(
% 17.58/2.58 relation_like(ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))|member(sk0_10(ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14))),ordered_pair(sk0_16,sk0_15))|~spl0_79),
% 17.58/2.58 inference(resolution,[status(thm)],[f7168,f2245])).
% 17.58/2.58 fof(f7765,plain,(
% 17.58/2.58 spl0_120|spl0_121|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7764,f7758,f7761,f7167])).
% 17.58/2.58 fof(f7766,plain,(
% 17.58/2.58 spl0_122 <=> member(sk0_3(ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14))),ordered_pair(sk0_16,sk0_15))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7769,plain,(
% 17.58/2.58 empty(ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))|member(sk0_3(ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14))),ordered_pair(sk0_16,sk0_15))|~spl0_79),
% 17.58/2.58 inference(resolution,[status(thm)],[f7168,f2189])).
% 17.58/2.58 fof(f7770,plain,(
% 17.58/2.58 spl0_118|spl0_122|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7769,f7750,f7766,f7167])).
% 17.58/2.58 fof(f7786,plain,(
% 17.58/2.58 spl0_123 <=> member(ordered_pair(ordered_pair(ordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))),singleton(ordered_pair(sk0_16,sk0_15))),singleton(ordered_pair(unordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))),singleton(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))))),sk0_14)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7789,plain,(
% 17.58/2.58 spl0_124 <=> member(unordered_pair(unordered_pair(ordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))),singleton(ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))),singleton(ordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))))),sk0_13)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7792,plain,(
% 17.58/2.58 ~member(ordered_pair(ordered_pair(ordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))),singleton(ordered_pair(sk0_16,sk0_15))),singleton(ordered_pair(unordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))),singleton(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))))),sk0_14)|member(unordered_pair(unordered_pair(ordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))),singleton(ordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))),singleton(ordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))))),sk0_13)|~spl0_25|~spl0_2|~spl0_1|~spl0_79),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f7168,f461])).
% 17.58/2.58 fof(f7793,plain,(
% 17.58/2.58 ~spl0_123|spl0_124|~spl0_25|~spl0_2|~spl0_1|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7792,f7786,f7789,f281,f148,f144,f7167])).
% 17.58/2.58 fof(f7794,plain,(
% 17.58/2.58 spl0_125 <=> member(ordered_pair(ordered_pair(ordered_pair(sk0_16,sk0_15),singleton(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))),singleton(unordered_pair(unordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))),singleton(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))))),sk0_14)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7797,plain,(
% 17.58/2.58 spl0_126 <=> member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))),singleton(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))),singleton(unordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))))),sk0_13)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7800,plain,(
% 17.58/2.58 ~member(ordered_pair(ordered_pair(ordered_pair(sk0_16,sk0_15),singleton(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))),singleton(unordered_pair(unordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))),singleton(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))))),sk0_14)|member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))),singleton(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))),singleton(unordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))))),sk0_13)|~spl0_25|~spl0_2|~spl0_1|~spl0_79),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f7168,f460])).
% 17.58/2.58 fof(f7801,plain,(
% 17.58/2.58 ~spl0_125|spl0_126|~spl0_25|~spl0_2|~spl0_1|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7800,f7794,f7797,f281,f148,f144,f7167])).
% 17.58/2.58 fof(f7802,plain,(
% 17.58/2.58 spl0_127 <=> member(ordered_pair(ordered_pair(sk0_16,sk0_15),singleton(unordered_pair(sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14)))),sk0_14)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7805,plain,(
% 17.58/2.58 spl0_128 <=> member(unordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))),sk0_13)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7808,plain,(
% 17.58/2.58 ~member(ordered_pair(ordered_pair(sk0_16,sk0_15),singleton(unordered_pair(sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14)))),sk0_14)|member(unordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))),sk0_13)|~spl0_25|~spl0_2|~spl0_1|~spl0_79),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f7168,f2528])).
% 17.58/2.58 fof(f7809,plain,(
% 17.58/2.58 ~spl0_127|spl0_128|~spl0_25|~spl0_2|~spl0_1|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7808,f7802,f7805,f281,f148,f144,f7167])).
% 17.58/2.58 fof(f7810,plain,(
% 17.58/2.58 spl0_129 <=> ilf_type(sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14),set_type)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7812,plain,(
% 17.58/2.58 ~ilf_type(sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14),set_type)|spl0_129),
% 17.58/2.58 inference(component_clause,[status(thm)],[f7810])).
% 17.58/2.58 fof(f7813,plain,(
% 17.58/2.58 spl0_130 <=> ~ilf_type(X0,binary_relation_type)|member(sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14),image(X0,X1))|~member(ordered_pair(sk0_16,sk0_15),X0)|~member(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),X1)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7816,plain,(
% 17.58/2.58 spl0_131 <=> ilf_type(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),set_type)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7818,plain,(
% 17.58/2.58 ~ilf_type(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),set_type)|spl0_131),
% 17.58/2.58 inference(component_clause,[status(thm)],[f7816])).
% 17.58/2.58 fof(f7819,plain,(
% 17.58/2.58 ![X0,X1]: (~ilf_type(sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14),set_type)|~ilf_type(X0,binary_relation_type)|member(sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14),image(X0,X1))|~ilf_type(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),set_type)|~member(ordered_pair(sk0_16,sk0_15),X0)|~member(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),X1)|~spl0_79)),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f7168,f3316])).
% 17.58/2.58 fof(f7820,plain,(
% 17.58/2.58 ~spl0_129|spl0_130|~spl0_131|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7819,f7810,f7813,f7816,f7167])).
% 17.58/2.58 fof(f7821,plain,(
% 17.58/2.58 spl0_132 <=> relation_like(unordered_pair(singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14)),unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14))))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7824,plain,(
% 17.58/2.58 relation_like(unordered_pair(singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14)),unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14))))|~empty(ordered_pair(sk0_16,sk0_15))|~spl0_1|~spl0_79),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f7168,f3235])).
% 17.58/2.58 fof(f7825,plain,(
% 17.58/2.58 spl0_132|~spl0_113|~spl0_1|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7824,f7821,f7722,f144,f7167])).
% 17.58/2.58 fof(f7826,plain,(
% 17.58/2.58 spl0_133 <=> relation_like(unordered_pair(singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14)),unordered_pair(sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7829,plain,(
% 17.58/2.58 relation_like(unordered_pair(singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14)),unordered_pair(sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))))|~empty(ordered_pair(sk0_16,sk0_15))|~spl0_1|~spl0_79),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f7168,f3234])).
% 17.58/2.58 fof(f7830,plain,(
% 17.58/2.58 spl0_133|~spl0_113|~spl0_1|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7829,f7826,f7722,f144,f7167])).
% 17.58/2.58 fof(f7831,plain,(
% 17.58/2.58 spl0_134 <=> relation_like(unordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7834,plain,(
% 17.58/2.58 relation_like(unordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))))|~empty(ordered_pair(sk0_16,sk0_15))|~spl0_2|~spl0_79),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f7168,f3211])).
% 17.58/2.58 fof(f7835,plain,(
% 17.58/2.58 spl0_134|~spl0_113|~spl0_2|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7834,f7831,f7722,f148,f7167])).
% 17.58/2.58 fof(f7836,plain,(
% 17.58/2.58 spl0_135 <=> relation_like(unordered_pair(unordered_pair(sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7839,plain,(
% 17.58/2.58 relation_like(unordered_pair(unordered_pair(sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))))|~empty(ordered_pair(sk0_16,sk0_15))|~spl0_2|~spl0_79),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f7168,f3210])).
% 17.58/2.58 fof(f7840,plain,(
% 17.58/2.58 spl0_135|~spl0_113|~spl0_2|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7839,f7836,f7722,f148,f7167])).
% 17.58/2.58 fof(f7841,plain,(
% 17.58/2.58 spl0_136 <=> empty(unordered_pair(singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14)),unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14))))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7844,plain,(
% 17.58/2.58 empty(unordered_pair(singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14)),unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14))))|~empty(ordered_pair(sk0_16,sk0_15))|~spl0_1|~spl0_79),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f7168,f3144])).
% 17.58/2.58 fof(f7845,plain,(
% 17.58/2.58 spl0_136|~spl0_113|~spl0_1|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7844,f7841,f7722,f144,f7167])).
% 17.58/2.58 fof(f7846,plain,(
% 17.58/2.58 spl0_137 <=> empty(unordered_pair(singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14)),unordered_pair(sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7849,plain,(
% 17.58/2.58 empty(unordered_pair(singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14)),unordered_pair(sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))))|~empty(ordered_pair(sk0_16,sk0_15))|~spl0_1|~spl0_79),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f7168,f3143])).
% 17.58/2.58 fof(f7850,plain,(
% 17.58/2.58 spl0_137|~spl0_113|~spl0_1|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7849,f7846,f7722,f144,f7167])).
% 17.58/2.58 fof(f7851,plain,(
% 17.58/2.58 spl0_138 <=> empty(unordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7854,plain,(
% 17.58/2.58 empty(unordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))))|~empty(ordered_pair(sk0_16,sk0_15))|~spl0_2|~spl0_79),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f7168,f3120])).
% 17.58/2.58 fof(f7855,plain,(
% 17.58/2.58 spl0_138|~spl0_113|~spl0_2|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7854,f7851,f7722,f148,f7167])).
% 17.58/2.58 fof(f7856,plain,(
% 17.58/2.58 spl0_139 <=> empty(unordered_pair(unordered_pair(sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))))),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7859,plain,(
% 17.58/2.58 empty(unordered_pair(unordered_pair(sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))))|~empty(ordered_pair(sk0_16,sk0_15))|~spl0_2|~spl0_79),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f7168,f3119])).
% 17.58/2.58 fof(f7860,plain,(
% 17.58/2.58 spl0_139|~spl0_113|~spl0_2|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7859,f7856,f7722,f148,f7167])).
% 17.58/2.58 fof(f7875,plain,(
% 17.58/2.58 spl0_140 <=> member(ordered_pair(ordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))),singleton(ordered_pair(sk0_16,sk0_15))),sk0_14)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7878,plain,(
% 17.58/2.58 spl0_141 <=> member(unordered_pair(unordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))),singleton(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))),sk0_13)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7881,plain,(
% 17.58/2.58 ~member(ordered_pair(ordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))),singleton(ordered_pair(sk0_16,sk0_15))),sk0_14)|member(unordered_pair(unordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))),singleton(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))),sk0_13)|~spl0_25|~spl0_2|~spl0_1|~spl0_79),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f7168,f465])).
% 17.58/2.58 fof(f7882,plain,(
% 17.58/2.58 ~spl0_140|spl0_141|~spl0_25|~spl0_2|~spl0_1|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7881,f7875,f7878,f281,f148,f144,f7167])).
% 17.58/2.58 fof(f7893,plain,(
% 17.58/2.58 spl0_142 <=> member(ordered_pair(ordered_pair(sk0_16,sk0_15),singleton(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))),sk0_14)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7896,plain,(
% 17.58/2.58 ~member(ordered_pair(ordered_pair(sk0_16,sk0_15),singleton(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)))),sk0_14)|member(unordered_pair(unordered_pair(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14)),singleton(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14))),sk0_13)|~spl0_25|~spl0_2|~spl0_1|~spl0_79),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f7168,f459])).
% 17.58/2.58 fof(f7897,plain,(
% 17.58/2.58 ~spl0_142|spl0_128|~spl0_25|~spl0_2|~spl0_1|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7896,f7893,f7805,f281,f148,f144,f7167])).
% 17.58/2.58 fof(f7904,plain,(
% 17.58/2.58 spl0_143 <=> member(sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_11)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7907,plain,(
% 17.58/2.58 ~member(ordered_pair(sk0_16,sk0_15),sk0_14)|member(sk0_9(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_11)|~spl0_26|~spl0_79),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f7168,f295])).
% 17.58/2.58 fof(f7908,plain,(
% 17.58/2.58 ~spl0_5|spl0_143|~spl0_26|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7907,f159,f7904,f289,f7167])).
% 17.58/2.58 fof(f7909,plain,(
% 17.58/2.58 spl0_144 <=> member(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_13)),
% 17.58/2.58 introduced(split_symbol_definition)).
% 17.58/2.58 fof(f7912,plain,(
% 17.58/2.58 ~member(ordered_pair(sk0_16,sk0_15),sk0_14)|member(sk0_8(ordered_pair(sk0_16,sk0_15),sk0_14),sk0_13)|~spl0_25|~spl0_79),
% 17.58/2.58 inference(paramodulation,[status(thm)],[f7168,f287])).
% 17.58/2.58 fof(f7913,plain,(
% 17.58/2.58 ~spl0_5|spl0_144|~spl0_25|~spl0_79),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7912,f159,f7909,f281,f7167])).
% 17.58/2.58 fof(f7914,plain,(
% 17.58/2.58 $false|spl0_131),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f7818,f125])).
% 17.58/2.58 fof(f7915,plain,(
% 17.58/2.58 spl0_131),
% 17.58/2.58 inference(contradiction_clause,[status(thm)],[f7914])).
% 17.58/2.58 fof(f7916,plain,(
% 17.58/2.58 $false|spl0_129),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f7812,f125])).
% 17.58/2.58 fof(f7917,plain,(
% 17.58/2.58 spl0_129),
% 17.58/2.58 inference(contradiction_clause,[status(thm)],[f7916])).
% 17.58/2.58 fof(f7952,plain,(
% 17.58/2.58 ~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_95),
% 17.58/2.58 inference(resolution,[status(thm)],[f7332,f3309])).
% 17.58/2.58 fof(f7953,plain,(
% 17.58/2.58 ~spl0_13|~spl0_34|spl0_88|~spl0_95),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7952,f196,f3317,f7261,f7331])).
% 17.58/2.58 fof(f7954,plain,(
% 17.58/2.58 ~ilf_type(sk0_15,set_type)|~ilf_type(sk0_14,binary_relation_type)|member(ordered_pair(sk0_0(sk0_14,sk0_15,sk0_12),sk0_15),sk0_14)|~spl0_95),
% 17.58/2.58 inference(resolution,[status(thm)],[f7332,f3302])).
% 17.58/2.58 fof(f7955,plain,(
% 17.58/2.58 ~spl0_13|~spl0_34|spl0_89|~spl0_95),
% 17.58/2.58 inference(split_clause,[status(thm)],[f7954,f196,f3317,f7266,f7331])).
% 17.58/2.58 fof(f7963,plain,(
% 17.58/2.58 $false|spl0_3|~spl0_27|~spl0_35|~spl0_6),
% 17.58/2.58 inference(forward_subsumption_resolution,[status(thm)],[f7713,f358])).
% 17.58/2.58 fof(f7964,plain,(
% 17.58/2.58 spl0_3|~spl0_27|~spl0_35|~spl0_6),
% 17.58/2.58 inference(contradiction_clause,[status(thm)],[f7963])).
% 17.58/2.58 fof(f7965,plain,(
% 17.58/2.58 $false),
% 17.58/2.58 inference(sat_refutation,[status(thm)],[f147,f151,f162,f166,f170,f180,f190,f192,f212,f214,f216,f224,f234,f236,f249,f255,f285,f293,f310,f328,f330,f332,f348,f352,f364,f368,f3324,f3335,f3359,f3364,f3376,f3378,f3380,f3386,f3398,f3412,f3414,f3416,f3428,f3459,f3464,f3475,f3480,f3493,f3498,f3506,f3511,f3533,f3538,f3548,f3553,f3642,f3647,f3673,f3678,f6374,f7024,f7032,f7039,f7047,f7171,f7215,f7217,f7237,f7335,f7355,f7378,f7385,f7403,f7408,f7614,f7624,f7632,f7657,f7667,f7729,f7737,f7742,f7757,f7765,f7770,f7793,f7801,f7809,f7820,f7825,f7830,f7835,f7840,f7845,f7850,f7855,f7860,f7882,f7897,f7908,f7913,f7915,f7917,f7953,f7955,f7964])).
% 17.58/2.58 % SZS output end CNFRefutation for theBenchmark.p
% 17.58/2.61 % Elapsed time: 2.261730 seconds
% 17.58/2.61 % CPU time: 17.770308 seconds
% 17.58/2.61 % Memory used: 305.884 MB
%------------------------------------------------------------------------------