TSTP Solution File: SEU157+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU157+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:41:15 EDT 2024
% Result : Theorem 72.56s 9.52s
% Output : CNFRefutation 73.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU157+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.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 : Mon Apr 29 19:43:14 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 72.56/9.52 % Refutation found
% 72.56/9.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 72.56/9.52 % SZS output start CNFRefutation for theBenchmark
% 72.56/9.52 fof(f1,axiom,(
% 72.56/9.52 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f3,axiom,(
% 72.56/9.52 (! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f4,axiom,(
% 72.56/9.52 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f5,axiom,(
% 72.56/9.52 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f6,axiom,(
% 72.56/9.52 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f7,axiom,(
% 72.56/9.52 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f8,axiom,(
% 72.56/9.52 (! [A] :( A = empty_set<=> (! [B] : ~ in(B,A) )) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f9,axiom,(
% 72.56/9.52 (! [A,B] :( B = powerset(A)<=> (! [C] :( in(C,B)<=> subset(C,A) ) )) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f10,axiom,(
% 72.56/9.52 (! [A,B,C] :( C = unordered_pair(A,B)<=> (! [D] :( in(D,C)<=> ( D = A| D = B ) ) )) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f11,axiom,(
% 72.56/9.52 (! [A,B,C] :( C = set_union2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)| in(D,B) ) ) )) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f12,axiom,(
% 72.56/9.52 (! [A,B,C] :( C = cartesian_product2(A,B)<=> (! [D] :( in(D,C)<=> (? [E,F] :( in(E,A)& in(F,B)& D = ordered_pair(E,F) ) )) )) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f13,axiom,(
% 72.56/9.52 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f14,axiom,(
% 72.56/9.52 (! [A,B,C] :( C = set_intersection2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& in(D,B) ) ) )) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f16,axiom,(
% 72.56/9.52 (! [A,B,C] :( C = set_difference(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& ~ in(D,B) ) ) )) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f17,axiom,(
% 72.56/9.52 (! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f18,axiom,(
% 72.56/9.52 (! [A,B] :( disjoint(A,B)<=> set_intersection2(A,B) = empty_set ) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f30,axiom,(
% 72.56/9.52 empty(empty_set) ),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f31,axiom,(
% 72.56/9.52 (! [A,B] : ~ empty(ordered_pair(A,B)) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f33,axiom,(
% 72.56/9.52 (! [A,B] :( ~ empty(A)=> ~ empty(set_union2(B,A)) ) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f34,axiom,(
% 72.56/9.52 (! [A,B] : set_union2(A,A) = A )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f35,axiom,(
% 72.56/9.52 (! [A,B] : set_intersection2(A,A) = A )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f37,lemma,(
% 72.56/9.52 (! [A] : singleton(A) != empty_set )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f39,lemma,(
% 72.56/9.52 (! [A,B] :~ ( disjoint(singleton(A),B)& in(A,B) ) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f40,lemma,(
% 72.56/9.52 (! [A,B] :( ~ in(A,B)=> disjoint(singleton(A),B) ) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f46,conjecture,(
% 72.56/9.52 (! [A,B,C,D] :( in(ordered_pair(A,B),cartesian_product2(C,D))<=> ( in(A,C)& in(B,D) ) ) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f47,negated_conjecture,(
% 72.56/9.52 ~((! [A,B,C,D] :( in(ordered_pair(A,B),cartesian_product2(C,D))<=> ( in(A,C)& in(B,D) ) ) ))),
% 72.56/9.52 inference(negated_conjecture,[status(cth)],[f46])).
% 72.56/9.52 fof(f51,axiom,(
% 72.56/9.52 (! [A,B] :( disjoint(A,B)=> disjoint(B,A) ) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f54,lemma,(
% 72.56/9.52 (! [A,B] : subset(set_intersection2(A,B),A) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f58,lemma,(
% 72.56/9.52 powerset(empty_set) = singleton(empty_set) ),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f60,lemma,(
% 72.56/9.52 (! [A,B] :( subset(A,B)=> set_intersection2(A,B) = A ) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f61,axiom,(
% 72.56/9.52 (! [A] : set_intersection2(A,empty_set) = empty_set )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f63,lemma,(
% 72.56/9.52 (! [A] : subset(empty_set,A) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f65,lemma,(
% 72.56/9.52 (! [A,B,C,D] :( ordered_pair(A,B) = ordered_pair(C,D)=> ( A = C& B = D ) ) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f66,lemma,(
% 72.56/9.52 (! [A,B] : subset(set_difference(A,B),A) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f69,axiom,(
% 72.56/9.52 (! [A] : set_difference(A,empty_set) = A )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f74,lemma,(
% 72.56/9.52 (! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f75,axiom,(
% 72.56/9.52 (! [A] : set_difference(empty_set,A) = empty_set )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f79,lemma,(
% 72.56/9.52 (! [A] : unordered_pair(A,A) = singleton(A) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f83,lemma,(
% 72.56/9.52 (! [A,B] : subset(A,set_union2(A,B)) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f84,lemma,(
% 72.56/9.52 (! [A,B] :( disjoint(A,B)<=> set_difference(A,B) = A ) )),
% 72.56/9.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 72.56/9.52 fof(f89,plain,(
% 72.56/9.52 ![A,B]: (~in(A,B)|~in(B,A))),
% 72.56/9.52 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 72.56/9.52 fof(f90,plain,(
% 72.56/9.52 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f89])).
% 72.56/9.52 fof(f93,plain,(
% 72.56/9.52 ![X0,X1]: (unordered_pair(X0,X1)=unordered_pair(X1,X0))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f3])).
% 72.56/9.52 fof(f94,plain,(
% 72.56/9.52 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f4])).
% 72.56/9.52 fof(f95,plain,(
% 72.56/9.52 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f5])).
% 72.56/9.52 fof(f96,plain,(
% 72.56/9.52 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 72.56/9.52 inference(NNF_transformation,[status(esa)],[f6])).
% 72.56/9.52 fof(f97,plain,(
% 72.56/9.52 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 72.56/9.52 inference(miniscoping,[status(esa)],[f96])).
% 72.56/9.52 fof(f98,plain,(
% 72.56/9.52 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f97])).
% 72.56/9.52 fof(f100,plain,(
% 72.56/9.52 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f97])).
% 72.56/9.52 fof(f101,plain,(
% 72.56/9.52 ![A,B]: ((~B=singleton(A)|(![C]: ((~in(C,B)|C=A)&(in(C,B)|~C=A))))&(B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 72.56/9.52 inference(NNF_transformation,[status(esa)],[f7])).
% 72.56/9.52 fof(f102,plain,(
% 72.56/9.52 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 72.56/9.52 inference(miniscoping,[status(esa)],[f101])).
% 72.56/9.52 fof(f103,plain,(
% 72.56/9.52 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|((~in(sk0_0(B,A),B)|~sk0_0(B,A)=A)&(in(sk0_0(B,A),B)|sk0_0(B,A)=A))))),
% 72.56/9.52 inference(skolemization,[status(esa)],[f102])).
% 72.56/9.52 fof(f104,plain,(
% 72.56/9.52 ![X0,X1,X2]: (~X0=singleton(X1)|~in(X2,X0)|X2=X1)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f103])).
% 72.56/9.52 fof(f105,plain,(
% 72.56/9.52 ![X0,X1,X2]: (~X0=singleton(X1)|in(X2,X0)|~X2=X1)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f103])).
% 72.56/9.52 fof(f108,plain,(
% 72.56/9.52 ![A]: ((~A=empty_set|(![B]: ~in(B,A)))&(A=empty_set|(?[B]: in(B,A))))),
% 72.56/9.52 inference(NNF_transformation,[status(esa)],[f8])).
% 72.56/9.52 fof(f109,plain,(
% 72.56/9.52 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|(?[B]: in(B,A))))),
% 72.56/9.52 inference(miniscoping,[status(esa)],[f108])).
% 72.56/9.52 fof(f110,plain,(
% 72.56/9.52 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|in(sk0_1(A),A)))),
% 72.56/9.52 inference(skolemization,[status(esa)],[f109])).
% 72.56/9.52 fof(f111,plain,(
% 72.56/9.52 ![X0,X1]: (~X0=empty_set|~in(X1,X0))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f110])).
% 72.56/9.52 fof(f112,plain,(
% 72.56/9.52 ![X0]: (X0=empty_set|in(sk0_1(X0),X0))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f110])).
% 72.56/9.52 fof(f113,plain,(
% 72.56/9.52 ![A,B]: ((~B=powerset(A)|(![C]: ((~in(C,B)|subset(C,A))&(in(C,B)|~subset(C,A)))))&(B=powerset(A)|(?[C]: ((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))))),
% 72.56/9.52 inference(NNF_transformation,[status(esa)],[f9])).
% 72.56/9.52 fof(f114,plain,(
% 72.56/9.52 (![A,B]: (~B=powerset(A)|((![C]: (~in(C,B)|subset(C,A)))&(![C]: (in(C,B)|~subset(C,A))))))&(![A,B]: (B=powerset(A)|(?[C]: ((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))))),
% 72.56/9.52 inference(miniscoping,[status(esa)],[f113])).
% 72.56/9.52 fof(f115,plain,(
% 72.56/9.52 (![A,B]: (~B=powerset(A)|((![C]: (~in(C,B)|subset(C,A)))&(![C]: (in(C,B)|~subset(C,A))))))&(![A,B]: (B=powerset(A)|((~in(sk0_2(B,A),B)|~subset(sk0_2(B,A),A))&(in(sk0_2(B,A),B)|subset(sk0_2(B,A),A)))))),
% 72.56/9.52 inference(skolemization,[status(esa)],[f114])).
% 72.56/9.52 fof(f116,plain,(
% 72.56/9.52 ![X0,X1,X2]: (~X0=powerset(X1)|~in(X2,X0)|subset(X2,X1))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f115])).
% 72.56/9.52 fof(f120,plain,(
% 72.56/9.52 ![A,B,C]: ((~C=unordered_pair(A,B)|(![D]: ((~in(D,C)|(D=A|D=B))&(in(D,C)|(~D=A&~D=B)))))&(C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 72.56/9.52 inference(NNF_transformation,[status(esa)],[f10])).
% 72.56/9.52 fof(f121,plain,(
% 72.56/9.52 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 72.56/9.52 inference(miniscoping,[status(esa)],[f120])).
% 72.56/9.52 fof(f122,plain,(
% 72.56/9.52 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|((~in(sk0_3(C,B,A),C)|(~sk0_3(C,B,A)=A&~sk0_3(C,B,A)=B))&(in(sk0_3(C,B,A),C)|(sk0_3(C,B,A)=A|sk0_3(C,B,A)=B)))))),
% 72.56/9.52 inference(skolemization,[status(esa)],[f121])).
% 72.56/9.52 fof(f123,plain,(
% 72.56/9.52 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|~in(X3,X0)|X3=X1|X3=X2)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f122])).
% 72.56/9.52 fof(f124,plain,(
% 72.56/9.52 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X1)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f122])).
% 72.56/9.52 fof(f125,plain,(
% 72.56/9.52 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X2)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f122])).
% 72.56/9.52 fof(f129,plain,(
% 72.56/9.52 ![A,B,C]: ((~C=set_union2(A,B)|(![D]: ((~in(D,C)|(in(D,A)|in(D,B)))&(in(D,C)|(~in(D,A)&~in(D,B))))))&(C=set_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 72.56/9.52 inference(NNF_transformation,[status(esa)],[f11])).
% 72.56/9.52 fof(f130,plain,(
% 72.56/9.52 (![A,B,C]: (~C=set_union2(A,B)|((![D]: (~in(D,C)|(in(D,A)|in(D,B))))&(![D]: (in(D,C)|(~in(D,A)&~in(D,B)))))))&(![A,B,C]: (C=set_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 72.56/9.52 inference(miniscoping,[status(esa)],[f129])).
% 72.56/9.52 fof(f131,plain,(
% 72.56/9.52 (![A,B,C]: (~C=set_union2(A,B)|((![D]: (~in(D,C)|(in(D,A)|in(D,B))))&(![D]: (in(D,C)|(~in(D,A)&~in(D,B)))))))&(![A,B,C]: (C=set_union2(A,B)|((~in(sk0_4(C,B,A),C)|(~in(sk0_4(C,B,A),A)&~in(sk0_4(C,B,A),B)))&(in(sk0_4(C,B,A),C)|(in(sk0_4(C,B,A),A)|in(sk0_4(C,B,A),B))))))),
% 72.56/9.52 inference(skolemization,[status(esa)],[f130])).
% 72.56/9.52 fof(f133,plain,(
% 72.56/9.52 ![X0,X1,X2,X3]: (~X0=set_union2(X1,X2)|in(X3,X0)|~in(X3,X1))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f131])).
% 72.56/9.52 fof(f134,plain,(
% 72.56/9.52 ![X0,X1,X2,X3]: (~X0=set_union2(X1,X2)|in(X3,X0)|~in(X3,X2))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f131])).
% 72.56/9.52 fof(f137,plain,(
% 72.56/9.52 ![X0,X1,X2]: (X0=set_union2(X1,X2)|in(sk0_4(X0,X2,X1),X0)|in(sk0_4(X0,X2,X1),X1)|in(sk0_4(X0,X2,X1),X2))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f131])).
% 72.56/9.52 fof(f138,plain,(
% 72.56/9.52 ![A,B,D,E,F]: (pd0_0(F,E,D,B,A)<=>((in(E,A)&in(F,B))&D=ordered_pair(E,F)))),
% 72.56/9.52 introduced(predicate_definition,[f12])).
% 72.56/9.52 fof(f139,plain,(
% 72.56/9.52 ![A,B,C]: (C=cartesian_product2(A,B)<=>(![D]: (in(D,C)<=>(?[E,F]: pd0_0(F,E,D,B,A)))))),
% 72.56/9.52 inference(formula_renaming,[status(thm)],[f12,f138])).
% 72.56/9.52 fof(f140,plain,(
% 72.56/9.52 ![A,B,C]: ((~C=cartesian_product2(A,B)|(![D]: ((~in(D,C)|(?[E,F]: pd0_0(F,E,D,B,A)))&(in(D,C)|(![E,F]: ~pd0_0(F,E,D,B,A))))))&(C=cartesian_product2(A,B)|(?[D]: ((~in(D,C)|(![E,F]: ~pd0_0(F,E,D,B,A)))&(in(D,C)|(?[E,F]: pd0_0(F,E,D,B,A)))))))),
% 72.56/9.52 inference(NNF_transformation,[status(esa)],[f139])).
% 72.56/9.52 fof(f141,plain,(
% 72.56/9.52 (![A,B,C]: (~C=cartesian_product2(A,B)|((![D]: (~in(D,C)|(?[E,F]: pd0_0(F,E,D,B,A))))&(![D]: (in(D,C)|(![E,F]: ~pd0_0(F,E,D,B,A)))))))&(![A,B,C]: (C=cartesian_product2(A,B)|(?[D]: ((~in(D,C)|(![E,F]: ~pd0_0(F,E,D,B,A)))&(in(D,C)|(?[E,F]: pd0_0(F,E,D,B,A)))))))),
% 72.56/9.52 inference(miniscoping,[status(esa)],[f140])).
% 72.56/9.52 fof(f142,plain,(
% 72.56/9.52 (![A,B,C]: (~C=cartesian_product2(A,B)|((![D]: (~in(D,C)|pd0_0(sk0_6(D,C,B,A),sk0_5(D,C,B,A),D,B,A)))&(![D]: (in(D,C)|(![E,F]: ~pd0_0(F,E,D,B,A)))))))&(![A,B,C]: (C=cartesian_product2(A,B)|((~in(sk0_7(C,B,A),C)|(![E,F]: ~pd0_0(F,E,sk0_7(C,B,A),B,A)))&(in(sk0_7(C,B,A),C)|pd0_0(sk0_9(C,B,A),sk0_8(C,B,A),sk0_7(C,B,A),B,A)))))),
% 72.56/9.52 inference(skolemization,[status(esa)],[f141])).
% 72.56/9.52 fof(f143,plain,(
% 72.56/9.52 ![X0,X1,X2,X3]: (~X0=cartesian_product2(X1,X2)|~in(X3,X0)|pd0_0(sk0_6(X3,X0,X2,X1),sk0_5(X3,X0,X2,X1),X3,X2,X1))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f142])).
% 72.56/9.52 fof(f144,plain,(
% 72.56/9.52 ![X0,X1,X2,X3,X4,X5]: (~X0=cartesian_product2(X1,X2)|in(X3,X0)|~pd0_0(X4,X5,X3,X2,X1))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f142])).
% 72.56/9.52 fof(f147,plain,(
% 72.56/9.52 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 72.56/9.52 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 72.56/9.52 fof(f148,plain,(
% 72.56/9.52 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 72.56/9.52 inference(NNF_transformation,[status(esa)],[f147])).
% 72.56/9.52 fof(f149,plain,(
% 72.56/9.52 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 72.56/9.52 inference(miniscoping,[status(esa)],[f148])).
% 72.56/9.52 fof(f150,plain,(
% 72.56/9.52 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sk0_10(B,A),A)&~in(sk0_10(B,A),B))))),
% 72.56/9.52 inference(skolemization,[status(esa)],[f149])).
% 72.56/9.52 fof(f152,plain,(
% 72.56/9.52 ![X0,X1]: (subset(X0,X1)|in(sk0_10(X1,X0),X0))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f150])).
% 72.56/9.52 fof(f154,plain,(
% 72.56/9.52 ![A,B,C]: ((~C=set_intersection2(A,B)|(![D]: ((~in(D,C)|(in(D,A)&in(D,B)))&(in(D,C)|(~in(D,A)|~in(D,B))))))&(C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 72.56/9.52 inference(NNF_transformation,[status(esa)],[f14])).
% 72.56/9.52 fof(f155,plain,(
% 72.56/9.52 (![A,B,C]: (~C=set_intersection2(A,B)|((![D]: (~in(D,C)|(in(D,A)&in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|~in(D,B)))))))&(![A,B,C]: (C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 72.56/9.52 inference(miniscoping,[status(esa)],[f154])).
% 72.56/9.52 fof(f156,plain,(
% 72.56/9.52 (![A,B,C]: (~C=set_intersection2(A,B)|((![D]: (~in(D,C)|(in(D,A)&in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|~in(D,B)))))))&(![A,B,C]: (C=set_intersection2(A,B)|((~in(sk0_11(C,B,A),C)|(~in(sk0_11(C,B,A),A)|~in(sk0_11(C,B,A),B)))&(in(sk0_11(C,B,A),C)|(in(sk0_11(C,B,A),A)&in(sk0_11(C,B,A),B))))))),
% 72.56/9.52 inference(skolemization,[status(esa)],[f155])).
% 72.56/9.52 fof(f157,plain,(
% 72.56/9.52 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|~in(X3,X0)|in(X3,X1))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f156])).
% 72.56/9.52 fof(f159,plain,(
% 72.56/9.52 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|in(X3,X0)|~in(X3,X1)|~in(X3,X2))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f156])).
% 72.56/9.52 fof(f172,plain,(
% 72.56/9.52 ![A,B,C]: ((~C=set_difference(A,B)|(![D]: ((~in(D,C)|(in(D,A)&~in(D,B)))&(in(D,C)|(~in(D,A)|in(D,B))))))&(C=set_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 72.56/9.52 inference(NNF_transformation,[status(esa)],[f16])).
% 72.56/9.52 fof(f173,plain,(
% 72.56/9.52 (![A,B,C]: (~C=set_difference(A,B)|((![D]: (~in(D,C)|(in(D,A)&~in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|in(D,B)))))))&(![A,B,C]: (C=set_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 72.56/9.52 inference(miniscoping,[status(esa)],[f172])).
% 72.56/9.52 fof(f174,plain,(
% 72.56/9.52 (![A,B,C]: (~C=set_difference(A,B)|((![D]: (~in(D,C)|(in(D,A)&~in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|in(D,B)))))))&(![A,B,C]: (C=set_difference(A,B)|((~in(sk0_15(C,B,A),C)|(~in(sk0_15(C,B,A),A)|in(sk0_15(C,B,A),B)))&(in(sk0_15(C,B,A),C)|(in(sk0_15(C,B,A),A)&~in(sk0_15(C,B,A),B))))))),
% 72.56/9.52 inference(skolemization,[status(esa)],[f173])).
% 72.56/9.52 fof(f177,plain,(
% 72.56/9.52 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|in(X3,X0)|~in(X3,X1)|in(X3,X2))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f174])).
% 72.56/9.52 fof(f181,plain,(
% 72.56/9.52 ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(unordered_pair(X0,X1),singleton(X0)))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f17])).
% 72.56/9.52 fof(f182,plain,(
% 72.56/9.52 ![A,B]: ((~disjoint(A,B)|set_intersection2(A,B)=empty_set)&(disjoint(A,B)|~set_intersection2(A,B)=empty_set))),
% 72.56/9.52 inference(NNF_transformation,[status(esa)],[f18])).
% 72.56/9.52 fof(f183,plain,(
% 72.56/9.52 (![A,B]: (~disjoint(A,B)|set_intersection2(A,B)=empty_set))&(![A,B]: (disjoint(A,B)|~set_intersection2(A,B)=empty_set))),
% 72.56/9.52 inference(miniscoping,[status(esa)],[f182])).
% 72.56/9.52 fof(f184,plain,(
% 72.56/9.52 ![X0,X1]: (~disjoint(X0,X1)|set_intersection2(X0,X1)=empty_set)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f183])).
% 72.56/9.52 fof(f191,plain,(
% 72.56/9.52 empty(empty_set)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f30])).
% 72.56/9.52 fof(f192,plain,(
% 72.56/9.52 ![X0,X1]: (~empty(ordered_pair(X0,X1)))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f31])).
% 72.56/9.52 fof(f196,plain,(
% 72.56/9.52 ![A,B]: (empty(A)|~empty(set_union2(B,A)))),
% 72.56/9.52 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 72.56/9.52 fof(f197,plain,(
% 72.56/9.52 ![A]: (empty(A)|(![B]: ~empty(set_union2(B,A))))),
% 72.56/9.52 inference(miniscoping,[status(esa)],[f196])).
% 72.56/9.52 fof(f198,plain,(
% 72.56/9.52 ![X0,X1]: (empty(X0)|~empty(set_union2(X1,X0)))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f197])).
% 72.56/9.52 fof(f199,plain,(
% 72.56/9.52 ![A]: set_union2(A,A)=A),
% 72.56/9.52 inference(miniscoping,[status(esa)],[f34])).
% 72.56/9.52 fof(f200,plain,(
% 72.56/9.52 ![X0]: (set_union2(X0,X0)=X0)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f199])).
% 72.56/9.52 fof(f201,plain,(
% 72.56/9.52 ![A]: set_intersection2(A,A)=A),
% 72.56/9.52 inference(miniscoping,[status(esa)],[f35])).
% 72.56/9.52 fof(f202,plain,(
% 72.56/9.52 ![X0]: (set_intersection2(X0,X0)=X0)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f201])).
% 72.56/9.52 fof(f205,plain,(
% 72.56/9.52 ![X0]: (~singleton(X0)=empty_set)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f37])).
% 72.56/9.52 fof(f208,plain,(
% 72.56/9.52 ![A,B]: (~disjoint(singleton(A),B)|~in(A,B))),
% 72.56/9.52 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 72.56/9.52 fof(f209,plain,(
% 72.56/9.52 ![X0,X1]: (~disjoint(singleton(X0),X1)|~in(X0,X1))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f208])).
% 72.56/9.52 fof(f210,plain,(
% 72.56/9.52 ![A,B]: (in(A,B)|disjoint(singleton(A),B))),
% 72.56/9.52 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 72.56/9.52 fof(f211,plain,(
% 72.56/9.52 ![X0,X1]: (in(X0,X1)|disjoint(singleton(X0),X1))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f210])).
% 72.56/9.52 fof(f230,plain,(
% 72.56/9.52 (?[A,B,C,D]: (in(ordered_pair(A,B),cartesian_product2(C,D))<~>(in(A,C)&in(B,D))))),
% 72.56/9.52 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 72.56/9.52 fof(f231,plain,(
% 72.56/9.52 ?[A,B,C,D]: ((in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D)))&(~in(ordered_pair(A,B),cartesian_product2(C,D))|(~in(A,C)|~in(B,D))))),
% 72.56/9.52 inference(NNF_transformation,[status(esa)],[f230])).
% 72.56/9.52 fof(f232,plain,(
% 72.56/9.52 ((in(ordered_pair(sk0_16,sk0_17),cartesian_product2(sk0_18,sk0_19))|(in(sk0_16,sk0_18)&in(sk0_17,sk0_19)))&(~in(ordered_pair(sk0_16,sk0_17),cartesian_product2(sk0_18,sk0_19))|(~in(sk0_16,sk0_18)|~in(sk0_17,sk0_19))))),
% 72.56/9.52 inference(skolemization,[status(esa)],[f231])).
% 72.56/9.52 fof(f233,plain,(
% 72.56/9.52 in(ordered_pair(sk0_16,sk0_17),cartesian_product2(sk0_18,sk0_19))|in(sk0_16,sk0_18)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f232])).
% 72.56/9.52 fof(f234,plain,(
% 72.56/9.52 in(ordered_pair(sk0_16,sk0_17),cartesian_product2(sk0_18,sk0_19))|in(sk0_17,sk0_19)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f232])).
% 72.56/9.52 fof(f235,plain,(
% 72.56/9.52 ~in(ordered_pair(sk0_16,sk0_17),cartesian_product2(sk0_18,sk0_19))|~in(sk0_16,sk0_18)|~in(sk0_17,sk0_19)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f232])).
% 72.56/9.52 fof(f242,plain,(
% 72.56/9.52 ![A,B]: (~disjoint(A,B)|disjoint(B,A))),
% 72.56/9.52 inference(pre_NNF_transformation,[status(esa)],[f51])).
% 72.56/9.52 fof(f243,plain,(
% 72.56/9.52 ![X0,X1]: (~disjoint(X0,X1)|disjoint(X1,X0))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f242])).
% 72.56/9.52 fof(f249,plain,(
% 72.56/9.52 ![X0,X1]: (subset(set_intersection2(X0,X1),X0))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f54])).
% 72.56/9.52 fof(f256,plain,(
% 72.56/9.52 powerset(empty_set)=singleton(empty_set)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f58])).
% 72.56/9.52 fof(f260,plain,(
% 72.56/9.52 ![A,B]: (~subset(A,B)|set_intersection2(A,B)=A)),
% 72.56/9.52 inference(pre_NNF_transformation,[status(esa)],[f60])).
% 72.56/9.52 fof(f261,plain,(
% 72.56/9.52 ![X0,X1]: (~subset(X0,X1)|set_intersection2(X0,X1)=X0)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f260])).
% 72.56/9.52 fof(f262,plain,(
% 72.56/9.52 ![X0]: (set_intersection2(X0,empty_set)=empty_set)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f61])).
% 72.56/9.52 fof(f268,plain,(
% 72.56/9.52 ![X0]: (subset(empty_set,X0))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f63])).
% 72.56/9.52 fof(f272,plain,(
% 72.56/9.52 ![A,B,C,D]: (~ordered_pair(A,B)=ordered_pair(C,D)|(A=C&B=D))),
% 72.56/9.52 inference(pre_NNF_transformation,[status(esa)],[f65])).
% 72.56/9.52 fof(f273,plain,(
% 72.56/9.52 ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|X0=X2)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f272])).
% 72.56/9.52 fof(f274,plain,(
% 72.56/9.52 ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|X1=X3)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f272])).
% 72.56/9.52 fof(f275,plain,(
% 72.56/9.52 ![X0,X1]: (subset(set_difference(X0,X1),X0))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f66])).
% 72.56/9.52 fof(f281,plain,(
% 72.56/9.52 ![X0]: (set_difference(X0,empty_set)=X0)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f69])).
% 72.56/9.52 fof(f293,plain,(
% 72.56/9.52 ![X0,X1]: (set_difference(X0,set_difference(X0,X1))=set_intersection2(X0,X1))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f74])).
% 72.56/9.52 fof(f294,plain,(
% 72.56/9.52 ![X0]: (set_difference(empty_set,X0)=empty_set)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f75])).
% 72.56/9.52 fof(f305,plain,(
% 72.56/9.52 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f79])).
% 72.56/9.52 fof(f313,plain,(
% 72.56/9.52 ![X0,X1]: (subset(X0,set_union2(X0,X1)))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f83])).
% 72.56/9.52 fof(f314,plain,(
% 72.56/9.52 ![A,B]: ((~disjoint(A,B)|set_difference(A,B)=A)&(disjoint(A,B)|~set_difference(A,B)=A))),
% 72.56/9.52 inference(NNF_transformation,[status(esa)],[f84])).
% 72.56/9.52 fof(f315,plain,(
% 72.56/9.52 (![A,B]: (~disjoint(A,B)|set_difference(A,B)=A))&(![A,B]: (disjoint(A,B)|~set_difference(A,B)=A))),
% 72.56/9.52 inference(miniscoping,[status(esa)],[f314])).
% 72.56/9.52 fof(f317,plain,(
% 72.56/9.52 ![X0,X1]: (disjoint(X0,X1)|~set_difference(X0,X1)=X0)),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f315])).
% 72.56/9.52 fof(f329,plain,(
% 72.56/9.52 ![A,B,D,E,F]: ((~pd0_0(F,E,D,B,A)|((in(E,A)&in(F,B))&D=ordered_pair(E,F)))&(pd0_0(F,E,D,B,A)|((~in(E,A)|~in(F,B))|~D=ordered_pair(E,F))))),
% 72.56/9.52 inference(NNF_transformation,[status(esa)],[f138])).
% 72.56/9.52 fof(f330,plain,(
% 72.56/9.52 (![A,B,D,E,F]: (~pd0_0(F,E,D,B,A)|((in(E,A)&in(F,B))&D=ordered_pair(E,F))))&(![A,B,D,E,F]: (pd0_0(F,E,D,B,A)|((~in(E,A)|~in(F,B))|~D=ordered_pair(E,F))))),
% 72.56/9.52 inference(miniscoping,[status(esa)],[f329])).
% 72.56/9.52 fof(f331,plain,(
% 72.56/9.52 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|in(X1,X4))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f330])).
% 72.56/9.52 fof(f332,plain,(
% 72.56/9.52 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|in(X0,X3))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f330])).
% 72.56/9.52 fof(f333,plain,(
% 72.56/9.52 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|X2=ordered_pair(X1,X0))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f330])).
% 72.56/9.52 fof(f334,plain,(
% 72.56/9.52 ![X0,X1,X2,X3,X4]: (pd0_0(X0,X1,X2,X3,X4)|~in(X1,X4)|~in(X0,X3)|~X2=ordered_pair(X1,X0))),
% 72.56/9.52 inference(cnf_transformation,[status(esa)],[f330])).
% 72.56/9.52 fof(f335,plain,(
% 72.56/9.52 spl0_0 <=> in(ordered_pair(sk0_16,sk0_17),cartesian_product2(sk0_18,sk0_19))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f336,plain,(
% 72.56/9.52 in(ordered_pair(sk0_16,sk0_17),cartesian_product2(sk0_18,sk0_19))|~spl0_0),
% 72.56/9.52 inference(component_clause,[status(thm)],[f335])).
% 72.56/9.52 fof(f337,plain,(
% 72.56/9.52 ~in(ordered_pair(sk0_16,sk0_17),cartesian_product2(sk0_18,sk0_19))|spl0_0),
% 72.56/9.52 inference(component_clause,[status(thm)],[f335])).
% 72.56/9.52 fof(f338,plain,(
% 72.56/9.52 spl0_1 <=> in(sk0_16,sk0_18)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f339,plain,(
% 72.56/9.52 in(sk0_16,sk0_18)|~spl0_1),
% 72.56/9.52 inference(component_clause,[status(thm)],[f338])).
% 72.56/9.52 fof(f340,plain,(
% 72.56/9.52 ~in(sk0_16,sk0_18)|spl0_1),
% 72.56/9.52 inference(component_clause,[status(thm)],[f338])).
% 72.56/9.52 fof(f341,plain,(
% 72.56/9.52 spl0_0|spl0_1),
% 72.56/9.52 inference(split_clause,[status(thm)],[f233,f335,f338])).
% 72.56/9.52 fof(f342,plain,(
% 72.56/9.52 spl0_2 <=> in(sk0_17,sk0_19)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f343,plain,(
% 72.56/9.52 in(sk0_17,sk0_19)|~spl0_2),
% 72.56/9.52 inference(component_clause,[status(thm)],[f342])).
% 72.56/9.52 fof(f344,plain,(
% 72.56/9.52 ~in(sk0_17,sk0_19)|spl0_2),
% 72.56/9.52 inference(component_clause,[status(thm)],[f342])).
% 72.56/9.52 fof(f345,plain,(
% 72.56/9.52 spl0_0|spl0_2),
% 72.56/9.52 inference(split_clause,[status(thm)],[f234,f335,f342])).
% 72.56/9.52 fof(f346,plain,(
% 72.56/9.52 ~spl0_0|~spl0_1|~spl0_2),
% 72.56/9.52 inference(split_clause,[status(thm)],[f235,f335,f338,f342])).
% 72.56/9.52 fof(f347,plain,(
% 72.56/9.52 ![X0]: (subset(X0,X0))),
% 72.56/9.52 inference(destructive_equality_resolution,[status(esa)],[f98])).
% 72.56/9.52 fof(f349,plain,(
% 72.56/9.52 ![X0,X1]: (~in(X0,singleton(X1))|X0=X1)),
% 72.56/9.52 inference(destructive_equality_resolution,[status(esa)],[f104])).
% 72.56/9.52 fof(f350,plain,(
% 72.56/9.52 ![X0]: (in(X0,singleton(X0)))),
% 72.56/9.52 inference(destructive_equality_resolution,[status(esa)],[f105])).
% 72.56/9.52 fof(f351,plain,(
% 72.56/9.52 ![X0]: (~in(X0,empty_set))),
% 72.56/9.52 inference(destructive_equality_resolution,[status(esa)],[f111])).
% 72.56/9.52 fof(f352,plain,(
% 72.56/9.52 ![X0,X1]: (~in(X0,powerset(X1))|subset(X0,X1))),
% 72.56/9.52 inference(destructive_equality_resolution,[status(esa)],[f116])).
% 72.56/9.52 fof(f354,plain,(
% 72.56/9.52 ![X0,X1,X2]: (~in(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 72.56/9.52 inference(destructive_equality_resolution,[status(esa)],[f123])).
% 72.56/9.52 fof(f355,plain,(
% 72.56/9.52 ![X0,X1]: (in(X0,unordered_pair(X0,X1)))),
% 72.56/9.52 inference(destructive_equality_resolution,[status(esa)],[f124])).
% 72.56/9.52 fof(f356,plain,(
% 72.56/9.52 ![X0,X1]: (in(X0,unordered_pair(X1,X0)))),
% 72.56/9.52 inference(destructive_equality_resolution,[status(esa)],[f125])).
% 72.56/9.52 fof(f358,plain,(
% 72.56/9.52 ![X0,X1,X2]: (in(X0,set_union2(X1,X2))|~in(X0,X1))),
% 72.56/9.52 inference(destructive_equality_resolution,[status(esa)],[f133])).
% 72.56/9.52 fof(f359,plain,(
% 72.56/9.52 ![X0,X1,X2]: (in(X0,set_union2(X1,X2))|~in(X0,X2))),
% 72.56/9.52 inference(destructive_equality_resolution,[status(esa)],[f134])).
% 72.56/9.52 fof(f360,plain,(
% 72.56/9.52 ![X0,X1,X2]: (~in(X0,cartesian_product2(X1,X2))|pd0_0(sk0_6(X0,cartesian_product2(X1,X2),X2,X1),sk0_5(X0,cartesian_product2(X1,X2),X2,X1),X0,X2,X1))),
% 72.56/9.52 inference(destructive_equality_resolution,[status(esa)],[f143])).
% 72.56/9.52 fof(f361,plain,(
% 72.56/9.52 ![X0,X1,X2,X3,X4]: (in(X0,cartesian_product2(X1,X2))|~pd0_0(X3,X4,X0,X2,X1))),
% 72.56/9.52 inference(destructive_equality_resolution,[status(esa)],[f144])).
% 72.56/9.52 fof(f362,plain,(
% 72.56/9.52 ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|in(X0,X1))),
% 72.56/9.52 inference(destructive_equality_resolution,[status(esa)],[f157])).
% 72.56/9.52 fof(f364,plain,(
% 72.56/9.52 ![X0,X1,X2]: (in(X0,set_intersection2(X1,X2))|~in(X0,X1)|~in(X0,X2))),
% 72.56/9.52 inference(destructive_equality_resolution,[status(esa)],[f159])).
% 72.56/9.52 fof(f370,plain,(
% 72.56/9.52 ![X0,X1,X2]: (in(X0,set_difference(X1,X2))|~in(X0,X1)|in(X0,X2))),
% 72.56/9.52 inference(destructive_equality_resolution,[status(esa)],[f177])).
% 72.56/9.52 fof(f371,plain,(
% 72.56/9.52 ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(singleton(X0),unordered_pair(X0,X1)))),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f93,f181])).
% 72.56/9.52 fof(f376,plain,(
% 72.56/9.52 ![X0,X1,X2,X3]: (pd0_0(X0,X1,ordered_pair(X1,X0),X2,X3)|~in(X1,X3)|~in(X0,X2))),
% 72.56/9.52 inference(destructive_equality_resolution,[status(esa)],[f334])).
% 72.56/9.52 fof(f382,plain,(
% 72.56/9.52 ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(singleton(X0),unordered_pair(X1,X0)))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f93,f371])).
% 72.56/9.52 fof(f385,plain,(
% 72.56/9.52 ![X0]: (~in(singleton(X0),X0))),
% 72.56/9.52 inference(resolution,[status(thm)],[f350,f90])).
% 72.56/9.52 fof(f387,plain,(
% 72.56/9.52 ![X0,X1]: (~in(unordered_pair(X0,X1),X0))),
% 72.56/9.52 inference(resolution,[status(thm)],[f355,f90])).
% 72.56/9.52 fof(f389,plain,(
% 72.56/9.52 ![X0,X1]: (in(singleton(X0),ordered_pair(X0,X1)))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f371,f355])).
% 72.56/9.52 fof(f393,plain,(
% 72.56/9.52 ![X0,X1]: (~in(unordered_pair(X0,X1),X1))),
% 72.56/9.52 inference(resolution,[status(thm)],[f356,f90])).
% 72.56/9.52 fof(f395,plain,(
% 72.56/9.52 ![X0,X1]: (in(unordered_pair(X0,X1),ordered_pair(X0,X1)))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f371,f356])).
% 72.56/9.52 fof(f403,plain,(
% 72.56/9.52 ![X0]: (empty_set=set_intersection2(empty_set,X0))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f262,f95])).
% 72.56/9.52 fof(f406,plain,(
% 72.56/9.52 ![X0,X1]: (subset(set_intersection2(X0,X1),X1))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f95,f249])).
% 72.56/9.52 fof(f419,plain,(
% 72.56/9.52 ![X0,X1]: (subset(X0,set_union2(X1,X0)))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f94,f313])).
% 72.56/9.52 fof(f422,plain,(
% 72.56/9.52 ![X0,X1]: (X0=set_intersection2(X1,X0)|~subset(X0,set_intersection2(X1,X0)))),
% 72.56/9.52 inference(resolution,[status(thm)],[f100,f406])).
% 72.56/9.52 fof(f423,plain,(
% 72.56/9.52 ![X0,X1]: (X0=set_intersection2(X0,X1)|~subset(X0,set_intersection2(X0,X1)))),
% 72.56/9.52 inference(resolution,[status(thm)],[f100,f249])).
% 72.56/9.52 fof(f432,plain,(
% 72.56/9.52 ![X0,X1]: (ordered_pair(unordered_pair(X0,X1),singleton(X1))=unordered_pair(singleton(unordered_pair(X0,X1)),ordered_pair(X1,X0)))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f382,f382])).
% 72.56/9.52 fof(f433,plain,(
% 72.56/9.52 ![X0,X1]: (ordered_pair(unordered_pair(X0,X1),singleton(X1))=unordered_pair(ordered_pair(X1,X0),singleton(unordered_pair(X0,X1))))),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f93,f432])).
% 72.56/9.52 fof(f438,plain,(
% 72.56/9.52 ![X0,X1]: (in(unordered_pair(X0,X1),ordered_pair(X1,X0)))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f382,f356])).
% 72.56/9.52 fof(f453,plain,(
% 72.56/9.52 ![X0,X1]: (~in(ordered_pair(X0,X1),unordered_pair(X1,X0)))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f382,f393])).
% 72.56/9.52 fof(f465,plain,(
% 72.56/9.52 ![X0,X1]: (in(ordered_pair(X0,X1),ordered_pair(unordered_pair(X1,X0),singleton(X0))))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f382,f438])).
% 72.56/9.52 fof(f470,plain,(
% 72.56/9.52 ![X0,X1]: (~in(ordered_pair(unordered_pair(X0,X1),singleton(X1)),ordered_pair(X1,X0)))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f382,f453])).
% 72.56/9.52 fof(f509,plain,(
% 72.56/9.52 ![X0,X1]: (~in(ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0))),ordered_pair(unordered_pair(X1,X0),singleton(X0))))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f382,f470])).
% 72.56/9.52 fof(f657,plain,(
% 72.56/9.52 ![X0,X1]: (ordered_pair(unordered_pair(singleton(X0),unordered_pair(X1,X0)),singleton(unordered_pair(X1,X0)))=unordered_pair(ordered_pair(unordered_pair(X1,X0),singleton(X0)),singleton(ordered_pair(X0,X1))))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f382,f433])).
% 72.56/9.52 fof(f658,plain,(
% 72.56/9.52 ![X0,X1]: (ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0)))=unordered_pair(ordered_pair(unordered_pair(X1,X0),singleton(X0)),singleton(ordered_pair(X0,X1))))),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f382,f657])).
% 72.56/9.52 fof(f659,plain,(
% 72.56/9.52 ![X0,X1]: (ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0)))=unordered_pair(singleton(ordered_pair(X0,X1)),ordered_pair(unordered_pair(X1,X0),singleton(X0))))),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f93,f658])).
% 72.56/9.52 fof(f1609,plain,(
% 72.56/9.52 ![X0]: (singleton(X0)=empty_set|sk0_1(singleton(X0))=X0)),
% 72.56/9.52 inference(resolution,[status(thm)],[f112,f349])).
% 72.56/9.52 fof(f1610,plain,(
% 72.56/9.52 ![X0]: (sk0_1(singleton(X0))=X0)),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f1609,f205])).
% 72.56/9.52 fof(f1611,plain,(
% 72.56/9.52 ![X0]: (X0=empty_set|~in(X0,sk0_1(X0)))),
% 72.56/9.52 inference(resolution,[status(thm)],[f112,f90])).
% 72.56/9.52 fof(f1613,plain,(
% 72.56/9.52 ![X0,X1]: (set_intersection2(set_difference(X0,X1),X0)=set_difference(X0,X1))),
% 72.56/9.52 inference(resolution,[status(thm)],[f261,f275])).
% 72.56/9.52 fof(f1614,plain,(
% 72.56/9.52 ![X0,X1]: (set_intersection2(X0,set_difference(X0,X1))=set_difference(X0,X1))),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f1613])).
% 72.56/9.52 fof(f1633,plain,(
% 72.56/9.52 ![X0,X1]: (set_intersection2(X0,X1)=empty_set|~disjoint(X1,X0))),
% 72.56/9.52 inference(resolution,[status(thm)],[f184,f243])).
% 72.56/9.52 fof(f1634,plain,(
% 72.56/9.52 ![X0,X1]: (in(X0,X1)|set_intersection2(singleton(X0),X1)=empty_set)),
% 72.56/9.52 inference(resolution,[status(thm)],[f211,f184])).
% 72.56/9.52 fof(f1635,plain,(
% 72.56/9.52 ![X0,X1]: (set_intersection2(X0,singleton(X1))=empty_set|in(X1,X0))),
% 72.56/9.52 inference(resolution,[status(thm)],[f1633,f211])).
% 72.56/9.52 fof(f1643,plain,(
% 72.56/9.52 ![X0,X1,X2]: (~in(X0,ordered_pair(X1,X2))|X0=singleton(X1)|X0=unordered_pair(X1,X2))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f371,f354])).
% 72.56/9.52 fof(f1648,plain,(
% 72.56/9.52 ![X0,X1]: (~in(singleton(set_union2(X0,X1)),X0))),
% 72.56/9.52 inference(resolution,[status(thm)],[f358,f385])).
% 72.56/9.52 fof(f1651,plain,(
% 72.56/9.52 ![X0,X1,X2]: (~in(X0,X1)|~in(set_union2(X1,X2),X0))),
% 72.56/9.52 inference(resolution,[status(thm)],[f358,f90])).
% 72.56/9.52 fof(f1659,plain,(
% 72.56/9.52 ![X0,X1,X2]: (~in(X0,X1)|~in(set_union2(X2,X1),X0))),
% 72.56/9.52 inference(resolution,[status(thm)],[f359,f90])).
% 72.56/9.52 fof(f1689,plain,(
% 72.56/9.52 ![X0,X1,X2]: (~in(singleton(set_union2(set_union2(X0,X1),X2)),X0))),
% 72.56/9.52 inference(resolution,[status(thm)],[f1648,f358])).
% 72.56/9.52 fof(f1704,plain,(
% 72.56/9.52 ![X0,X1,X2]: (sk0_10(X0,ordered_pair(X1,X2))=singleton(X1)|sk0_10(X0,ordered_pair(X1,X2))=unordered_pair(X1,X2)|subset(ordered_pair(X1,X2),X0))),
% 72.56/9.52 inference(resolution,[status(thm)],[f1643,f152])).
% 72.56/9.52 fof(f1705,plain,(
% 72.56/9.52 ![X0,X1]: (sk0_1(ordered_pair(X0,X1))=singleton(X0)|sk0_1(ordered_pair(X0,X1))=unordered_pair(X0,X1)|ordered_pair(X0,X1)=empty_set)),
% 72.56/9.52 inference(resolution,[status(thm)],[f1643,f112])).
% 72.56/9.52 fof(f2442,plain,(
% 72.56/9.52 ![X0,X1]: (set_difference(X0,set_intersection2(X0,X1))=set_intersection2(X0,set_difference(X0,X1)))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f293,f293])).
% 72.56/9.52 fof(f2443,plain,(
% 72.56/9.52 ![X0,X1]: (set_difference(X0,set_intersection2(X0,X1))=set_difference(X0,X1))),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f1614,f2442])).
% 72.56/9.52 fof(f2488,plain,(
% 72.56/9.52 ![X0,X1,X2]: (~pd0_0(X0,sk0_16,X1,X2,sk0_18)|spl0_1)),
% 72.56/9.52 inference(resolution,[status(thm)],[f331,f340])).
% 72.56/9.52 fof(f2505,plain,(
% 72.56/9.52 ![X0,X1,X2,X3]: (~pd0_0(X0,X1,X2,X3,empty_set))),
% 72.56/9.52 inference(resolution,[status(thm)],[f331,f351])).
% 72.56/9.52 fof(f2506,plain,(
% 72.56/9.52 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|~in(X4,X1))),
% 72.56/9.52 inference(resolution,[status(thm)],[f331,f90])).
% 72.56/9.52 fof(f2583,plain,(
% 72.56/9.52 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|~in(X3,X0))),
% 72.56/9.52 inference(resolution,[status(thm)],[f332,f90])).
% 72.56/9.52 fof(f2760,plain,(
% 72.56/9.52 ![X0,X1]: (~pd0_0(X0,X1,ordered_pair(sk0_16,sk0_17),sk0_19,sk0_18)|spl0_0)),
% 72.56/9.52 inference(resolution,[status(thm)],[f337,f361])).
% 72.56/9.52 fof(f2781,plain,(
% 72.56/9.52 spl0_9 <=> in(unordered_pair(sk0_16,sk0_17),ordered_pair(sk0_16,sk0_17))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f2783,plain,(
% 72.56/9.52 ~in(unordered_pair(sk0_16,sk0_17),ordered_pair(sk0_16,sk0_17))|spl0_9),
% 72.56/9.52 inference(component_clause,[status(thm)],[f2781])).
% 72.56/9.52 fof(f2791,plain,(
% 72.56/9.52 $false|spl0_9),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f2783,f395])).
% 72.56/9.52 fof(f2792,plain,(
% 72.56/9.52 spl0_9),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f2791])).
% 72.56/9.52 fof(f2861,plain,(
% 72.56/9.52 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~pd0_0(X0,X1,X2,X3,X4)|~pd0_0(X4,X5,X6,X1,X7))),
% 72.56/9.52 inference(resolution,[status(thm)],[f2506,f332])).
% 72.56/9.52 fof(f2894,plain,(
% 72.56/9.52 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~pd0_0(X0,X1,X2,X3,X4)|~pd0_0(X3,X5,X6,X0,X7))),
% 72.56/9.52 inference(resolution,[status(thm)],[f2583,f332])).
% 72.56/9.52 fof(f2989,plain,(
% 72.56/9.52 spl0_11 <=> sk0_1(ordered_pair(sk0_16,sk0_17))=singleton(sk0_16)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f2990,plain,(
% 72.56/9.52 sk0_1(ordered_pair(sk0_16,sk0_17))=singleton(sk0_16)|~spl0_11),
% 72.56/9.52 inference(component_clause,[status(thm)],[f2989])).
% 72.56/9.52 fof(f3219,plain,(
% 72.56/9.52 spl0_17 <=> empty(empty_set)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f3221,plain,(
% 72.56/9.52 ~empty(empty_set)|spl0_17),
% 72.56/9.52 inference(component_clause,[status(thm)],[f3219])).
% 72.56/9.52 fof(f3222,plain,(
% 72.56/9.52 spl0_18 <=> sk0_1(ordered_pair(X0,X1))=singleton(X0)|sk0_1(ordered_pair(X0,X1))=unordered_pair(X0,X1)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f3225,plain,(
% 72.56/9.52 ![X0,X1]: (~empty(empty_set)|sk0_1(ordered_pair(X0,X1))=singleton(X0)|sk0_1(ordered_pair(X0,X1))=unordered_pair(X0,X1))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f1705,f192])).
% 72.56/9.52 fof(f3226,plain,(
% 72.56/9.52 ~spl0_17|spl0_18),
% 72.56/9.52 inference(split_clause,[status(thm)],[f3225,f3219,f3222])).
% 72.56/9.52 fof(f3227,plain,(
% 72.56/9.52 $false|spl0_17),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f3221,f191])).
% 72.56/9.52 fof(f3228,plain,(
% 72.56/9.52 spl0_17),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f3227])).
% 72.56/9.52 fof(f3288,plain,(
% 72.56/9.52 ![X0,X1]: (set_difference(X0,set_intersection2(X1,X0))=set_difference(X0,X1))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f95,f2443])).
% 72.56/9.52 fof(f3339,plain,(
% 72.56/9.52 spl0_19 <=> empty_set=set_intersection2(X0,empty_set)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f3342,plain,(
% 72.56/9.52 spl0_20 <=> subset(empty_set,empty_set)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f3344,plain,(
% 72.56/9.52 ~subset(empty_set,empty_set)|spl0_20),
% 72.56/9.52 inference(component_clause,[status(thm)],[f3342])).
% 72.56/9.52 fof(f3345,plain,(
% 72.56/9.52 ![X0]: (empty_set=set_intersection2(X0,empty_set)|~subset(empty_set,empty_set))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f262,f422])).
% 72.56/9.52 fof(f3346,plain,(
% 72.56/9.52 spl0_19|~spl0_20),
% 72.56/9.52 inference(split_clause,[status(thm)],[f3345,f3339,f3342])).
% 72.56/9.52 fof(f3347,plain,(
% 72.56/9.52 ![X0,X1]: (X0=set_intersection2(X1,X0)|~subset(X0,set_intersection2(X0,X1)))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f95,f422])).
% 72.56/9.52 fof(f3350,plain,(
% 72.56/9.52 $false|spl0_20),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f3344,f268])).
% 72.56/9.52 fof(f3351,plain,(
% 72.56/9.52 spl0_20),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f3350])).
% 72.56/9.52 fof(f3354,plain,(
% 72.56/9.52 spl0_21 <=> empty_set=set_intersection2(empty_set,X0)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f3357,plain,(
% 72.56/9.52 ![X0]: (empty_set=set_intersection2(empty_set,X0)|~subset(empty_set,empty_set))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f403,f423])).
% 72.56/9.52 fof(f3358,plain,(
% 72.56/9.52 spl0_21|~spl0_20),
% 72.56/9.52 inference(split_clause,[status(thm)],[f3357,f3354,f3342])).
% 72.56/9.52 fof(f3369,plain,(
% 72.56/9.52 ![X0,X1]: (X0=set_intersection2(X0,X1)|~subset(X0,set_intersection2(X1,X0)))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f95,f423])).
% 72.56/9.52 fof(f3377,plain,(
% 72.56/9.52 ![X0,X1,X2]: (set_intersection2(singleton(set_union2(X0,X1)),X2)=empty_set|~in(X2,X1))),
% 72.56/9.52 inference(resolution,[status(thm)],[f1634,f1659])).
% 72.56/9.52 fof(f3378,plain,(
% 72.56/9.52 ![X0,X1,X2]: (set_intersection2(singleton(set_union2(X0,X1)),X2)=empty_set|~in(X2,X0))),
% 72.56/9.52 inference(resolution,[status(thm)],[f1634,f1651])).
% 72.56/9.52 fof(f3440,plain,(
% 72.56/9.52 ![X0,X1]: (set_intersection2(singleton(unordered_pair(X0,X1)),X0)=empty_set)),
% 72.56/9.52 inference(resolution,[status(thm)],[f1634,f387])).
% 72.56/9.52 fof(f3441,plain,(
% 72.56/9.52 ![X0,X1]: (set_intersection2(X0,singleton(unordered_pair(X0,X1)))=empty_set)),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f3440])).
% 72.56/9.52 fof(f3454,plain,(
% 72.56/9.52 ![X0]: (set_intersection2(singleton(singleton(X0)),X0)=empty_set)),
% 72.56/9.52 inference(resolution,[status(thm)],[f1634,f385])).
% 72.56/9.52 fof(f3455,plain,(
% 72.56/9.52 ![X0]: (set_intersection2(X0,singleton(singleton(X0)))=empty_set)),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f3454])).
% 72.56/9.52 fof(f3468,plain,(
% 72.56/9.52 ![X0]: (set_intersection2(singleton(X0),sk0_1(X0))=empty_set|X0=empty_set)),
% 72.56/9.52 inference(resolution,[status(thm)],[f1634,f1611])).
% 72.56/9.52 fof(f3473,plain,(
% 72.56/9.52 ![X0,X1]: (set_intersection2(singleton(X0),singleton(X1))=empty_set|X0=X1)),
% 72.56/9.52 inference(resolution,[status(thm)],[f1634,f349])).
% 72.56/9.52 fof(f3486,plain,(
% 72.56/9.52 ![X0]: (set_difference(X0,empty_set)=set_difference(X0,singleton(singleton(X0))))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f3455,f2443])).
% 72.56/9.52 fof(f3487,plain,(
% 72.56/9.52 ![X0]: (X0=set_difference(X0,singleton(singleton(X0))))),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f281,f3486])).
% 72.56/9.52 fof(f3500,plain,(
% 72.56/9.52 ![X0]: (set_difference(X0,X0)=set_intersection2(X0,singleton(singleton(X0))))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f3487,f293])).
% 72.56/9.52 fof(f3501,plain,(
% 72.56/9.52 ![X0]: (set_difference(X0,X0)=empty_set)),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f3455,f3500])).
% 72.56/9.52 fof(f3608,plain,(
% 72.56/9.52 spl0_25 <=> subset(singleton(sk0_16),empty_set)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f3610,plain,(
% 72.56/9.52 ~subset(singleton(sk0_16),empty_set)|spl0_25),
% 72.56/9.52 inference(component_clause,[status(thm)],[f3608])).
% 72.56/9.52 fof(f3639,plain,(
% 72.56/9.52 spl0_27 <=> subset(ordered_pair(sk0_16,sk0_17),empty_set)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f3640,plain,(
% 72.56/9.52 subset(ordered_pair(sk0_16,sk0_17),empty_set)|~spl0_27),
% 72.56/9.52 inference(component_clause,[status(thm)],[f3639])).
% 72.56/9.52 fof(f3641,plain,(
% 72.56/9.52 ~subset(ordered_pair(sk0_16,sk0_17),empty_set)|spl0_27),
% 72.56/9.52 inference(component_clause,[status(thm)],[f3639])).
% 72.56/9.52 fof(f3681,plain,(
% 72.56/9.52 spl0_30 <=> sk0_10(empty_set,ordered_pair(sk0_16,sk0_17))=singleton(sk0_16)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f3682,plain,(
% 72.56/9.52 sk0_10(empty_set,ordered_pair(sk0_16,sk0_17))=singleton(sk0_16)|~spl0_30),
% 72.56/9.52 inference(component_clause,[status(thm)],[f3681])).
% 72.56/9.52 fof(f3684,plain,(
% 72.56/9.52 spl0_31 <=> sk0_10(empty_set,ordered_pair(sk0_16,sk0_17))=unordered_pair(sk0_16,sk0_17)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f3685,plain,(
% 72.56/9.52 sk0_10(empty_set,ordered_pair(sk0_16,sk0_17))=unordered_pair(sk0_16,sk0_17)|~spl0_31),
% 72.56/9.52 inference(component_clause,[status(thm)],[f3684])).
% 72.56/9.52 fof(f3687,plain,(
% 72.56/9.52 sk0_10(empty_set,ordered_pair(sk0_16,sk0_17))=singleton(sk0_16)|sk0_10(empty_set,ordered_pair(sk0_16,sk0_17))=unordered_pair(sk0_16,sk0_17)|spl0_27),
% 72.56/9.52 inference(resolution,[status(thm)],[f3641,f1704])).
% 72.56/9.52 fof(f3688,plain,(
% 72.56/9.52 spl0_30|spl0_31|spl0_27),
% 72.56/9.52 inference(split_clause,[status(thm)],[f3687,f3681,f3684,f3639])).
% 72.56/9.52 fof(f3892,plain,(
% 72.56/9.52 spl0_32 <=> ordered_pair(sk0_16,sk0_17)=empty_set),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f3893,plain,(
% 72.56/9.52 ordered_pair(sk0_16,sk0_17)=empty_set|~spl0_32),
% 72.56/9.52 inference(component_clause,[status(thm)],[f3892])).
% 72.56/9.52 fof(f3894,plain,(
% 72.56/9.52 ~ordered_pair(sk0_16,sk0_17)=empty_set|spl0_32),
% 72.56/9.52 inference(component_clause,[status(thm)],[f3892])).
% 72.56/9.52 fof(f3901,plain,(
% 72.56/9.52 spl0_33 <=> in(ordered_pair(sk0_16,sk0_17),singleton(sk0_16))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f3904,plain,(
% 72.56/9.52 ordered_pair(sk0_16,sk0_17)=empty_set|~in(ordered_pair(sk0_16,sk0_17),singleton(sk0_16))|~spl0_11),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f2990,f1611])).
% 72.56/9.52 fof(f3905,plain,(
% 72.56/9.52 spl0_32|~spl0_33|~spl0_11),
% 72.56/9.52 inference(split_clause,[status(thm)],[f3904,f3892,f3901,f2989])).
% 72.56/9.52 fof(f3906,plain,(
% 72.56/9.52 spl0_34 <=> in(singleton(sk0_16),ordered_pair(sk0_16,sk0_17))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f3909,plain,(
% 72.56/9.52 ordered_pair(sk0_16,sk0_17)=empty_set|in(singleton(sk0_16),ordered_pair(sk0_16,sk0_17))|~spl0_11),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f2990,f112])).
% 72.56/9.52 fof(f3910,plain,(
% 72.56/9.52 spl0_32|spl0_34|~spl0_11),
% 72.56/9.52 inference(split_clause,[status(thm)],[f3909,f3892,f3906,f2989])).
% 72.56/9.52 fof(f3913,plain,(
% 72.56/9.52 singleton(sk0_16)=unordered_pair(sk0_16,sk0_17)|~spl0_30|~spl0_31),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f3682,f3685])).
% 72.56/9.52 fof(f4829,plain,(
% 72.56/9.52 ![X0,X1]: (set_intersection2(powerset(X0),singleton(X1))=empty_set|subset(X1,X0))),
% 72.56/9.52 inference(resolution,[status(thm)],[f1635,f352])).
% 72.56/9.52 fof(f4838,plain,(
% 72.56/9.52 ![X0,X1]: (set_intersection2(X0,singleton(X1))=empty_set|~in(X0,X1))),
% 72.56/9.52 inference(resolution,[status(thm)],[f1635,f90])).
% 72.56/9.52 fof(f4956,plain,(
% 72.56/9.52 spl0_35 <=> empty_set=empty_set),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f4964,plain,(
% 72.56/9.52 spl0_37 <=> X0=unordered_pair(set_union2(X1,singleton(X0)),X2)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f4965,plain,(
% 72.56/9.52 ![X0,X1,X2]: (X0=unordered_pair(set_union2(X1,singleton(X0)),X2)|~spl0_37)),
% 72.56/9.52 inference(component_clause,[status(thm)],[f4964])).
% 72.56/9.52 fof(f4969,plain,(
% 72.56/9.52 spl0_38 <=> X0=unordered_pair(singleton(X0),X1)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f4970,plain,(
% 72.56/9.52 ![X0,X1]: (X0=unordered_pair(singleton(X0),X1)|~spl0_38)),
% 72.56/9.52 inference(component_clause,[status(thm)],[f4969])).
% 72.56/9.52 fof(f4972,plain,(
% 72.56/9.52 ![X0,X1]: (empty_set=empty_set|X0=unordered_pair(singleton(X0),X1))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f3441,f3473])).
% 72.56/9.52 fof(f4973,plain,(
% 72.56/9.52 spl0_35|spl0_38),
% 72.56/9.52 inference(split_clause,[status(thm)],[f4972,f4956,f4969])).
% 72.56/9.52 fof(f4979,plain,(
% 72.56/9.52 spl0_40 <=> X0=singleton(set_union2(singleton(X0),X1))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f4980,plain,(
% 72.56/9.52 ![X0,X1]: (X0=singleton(set_union2(singleton(X0),X1))|~spl0_40)),
% 72.56/9.52 inference(component_clause,[status(thm)],[f4979])).
% 72.56/9.52 fof(f4984,plain,(
% 72.56/9.52 spl0_41 <=> X0=singleton(set_union2(X1,singleton(X0)))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f4985,plain,(
% 72.56/9.52 ![X0,X1]: (X0=singleton(set_union2(X1,singleton(X0)))|~spl0_41)),
% 72.56/9.52 inference(component_clause,[status(thm)],[f4984])).
% 72.56/9.52 fof(f5077,plain,(
% 72.56/9.52 ![X0,X1]: (ordered_pair(ordered_pair(X0,X1),singleton(unordered_pair(X1,X0)))=ordered_pair(X0,X1)|~spl0_38)),
% 72.56/9.52 inference(backward_demodulation,[status(thm)],[f4970,f659])).
% 72.56/9.52 fof(f5081,plain,(
% 72.56/9.52 ![X0,X1]: (~in(ordered_pair(X0,X1),ordered_pair(unordered_pair(X1,X0),singleton(X0)))|~spl0_38)),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f5077,f509])).
% 72.56/9.52 fof(f5135,plain,(
% 72.56/9.52 $false|~spl0_38),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f5081,f465])).
% 72.56/9.52 fof(f5136,plain,(
% 72.56/9.52 ~spl0_38),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f5135])).
% 72.56/9.52 fof(f5228,plain,(
% 72.56/9.52 ![X0]: (X0=set_union2(empty_set,empty_set)|in(sk0_4(X0,empty_set,empty_set),X0))),
% 72.56/9.52 inference(resolution,[status(thm)],[f137,f351])).
% 72.56/9.52 fof(f5229,plain,(
% 72.56/9.52 ![X0]: (X0=empty_set|in(sk0_4(X0,empty_set,empty_set),X0))),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f200,f5228])).
% 72.56/9.52 fof(f5262,plain,(
% 72.56/9.52 in(sk0_17,singleton(sk0_16))|~spl0_30|~spl0_31),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f3913,f356])).
% 72.56/9.52 fof(f5273,plain,(
% 72.56/9.52 ![X0,X1]: (~in(X0,X1)|~spl0_41)),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f4985,f1689])).
% 72.56/9.52 fof(f5280,plain,(
% 72.56/9.52 ![X0,X1,X2]: (in(X0,ordered_pair(set_union2(X1,singleton(X0)),X2))|~spl0_41)),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f4985,f389])).
% 72.56/9.52 fof(f5281,plain,(
% 72.56/9.52 $false|~spl0_41),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f5280,f5273])).
% 72.56/9.52 fof(f5282,plain,(
% 72.56/9.52 ~spl0_41),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f5281])).
% 72.56/9.52 fof(f5283,plain,(
% 72.56/9.52 ![X0,X1]: (X0=singleton(set_union2(X1,singleton(X0)))|~spl0_40)),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f94,f4980])).
% 72.56/9.52 fof(f5284,plain,(
% 72.56/9.52 spl0_41|~spl0_40),
% 72.56/9.52 inference(split_clause,[status(thm)],[f5283,f4984,f4979])).
% 72.56/9.52 fof(f5794,plain,(
% 72.56/9.52 ![X0,X1]: (X0=unordered_pair(singleton(X0),X1)|~spl0_37)),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f200,f4965])).
% 72.56/9.52 fof(f5795,plain,(
% 72.56/9.52 spl0_38|~spl0_37),
% 72.56/9.52 inference(split_clause,[status(thm)],[f5794,f4969,f4964])).
% 72.56/9.52 fof(f5813,plain,(
% 72.56/9.52 spl0_43 <=> ~in(X0,X1)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f5814,plain,(
% 72.56/9.52 ![X0,X1]: (~in(X0,X1)|~spl0_43)),
% 72.56/9.52 inference(component_clause,[status(thm)],[f5813])).
% 72.56/9.52 fof(f5890,plain,(
% 72.56/9.52 $false|~spl0_43|~spl0_30|~spl0_31),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f5262,f5814])).
% 72.56/9.52 fof(f5891,plain,(
% 72.56/9.52 ~spl0_43|~spl0_30|~spl0_31),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f5890])).
% 72.56/9.52 fof(f6084,plain,(
% 72.56/9.52 spl0_49 <=> singleton(sk0_16)=singleton(sk0_16)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f6086,plain,(
% 72.56/9.52 ~singleton(sk0_16)=singleton(sk0_16)|spl0_49),
% 72.56/9.52 inference(component_clause,[status(thm)],[f6084])).
% 72.56/9.52 fof(f6109,plain,(
% 72.56/9.52 spl0_52 <=> set_intersection2(ordered_pair(sk0_16,sk0_17),ordered_pair(sk0_16,sk0_17))=empty_set),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f6110,plain,(
% 72.56/9.52 set_intersection2(ordered_pair(sk0_16,sk0_17),ordered_pair(sk0_16,sk0_17))=empty_set|~spl0_52),
% 72.56/9.52 inference(component_clause,[status(thm)],[f6109])).
% 72.56/9.52 fof(f6121,plain,(
% 72.56/9.52 spl0_54 <=> set_intersection2(singleton(cartesian_product2(empty_set,sk0_19)),singleton(cartesian_product2(empty_set,sk0_19)))=empty_set),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f6122,plain,(
% 72.56/9.52 set_intersection2(singleton(cartesian_product2(empty_set,sk0_19)),singleton(cartesian_product2(empty_set,sk0_19)))=empty_set|~spl0_54),
% 72.56/9.52 inference(component_clause,[status(thm)],[f6121])).
% 72.56/9.52 fof(f6185,plain,(
% 72.56/9.52 spl0_60 <=> singleton(cartesian_product2(empty_set,sk0_19))=empty_set),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f6186,plain,(
% 72.56/9.52 singleton(cartesian_product2(empty_set,sk0_19))=empty_set|~spl0_60),
% 72.56/9.52 inference(component_clause,[status(thm)],[f6185])).
% 72.56/9.52 fof(f6244,plain,(
% 72.56/9.52 ordered_pair(sk0_16,sk0_17)=empty_set|~spl0_52),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f202,f6110])).
% 72.56/9.52 fof(f6249,plain,(
% 72.56/9.52 singleton(cartesian_product2(empty_set,sk0_19))=empty_set|~spl0_54),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f202,f6122])).
% 72.56/9.52 fof(f6250,plain,(
% 72.56/9.52 $false|~spl0_54),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f6249,f205])).
% 72.56/9.52 fof(f6251,plain,(
% 72.56/9.52 ~spl0_54),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f6250])).
% 72.56/9.52 fof(f6336,plain,(
% 72.56/9.52 spl0_72 <=> ordered_pair(sk0_16,sk0_17)=set_difference(ordered_pair(sk0_16,sk0_17),ordered_pair(sk0_16,sk0_17))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f6337,plain,(
% 72.56/9.52 ordered_pair(sk0_16,sk0_17)=set_difference(ordered_pair(sk0_16,sk0_17),ordered_pair(sk0_16,sk0_17))|~spl0_72),
% 72.56/9.52 inference(component_clause,[status(thm)],[f6336])).
% 72.56/9.52 fof(f6363,plain,(
% 72.56/9.52 ordered_pair(sk0_16,sk0_17)=empty_set|~spl0_72),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f3501,f6337])).
% 72.56/9.52 fof(f6772,plain,(
% 72.56/9.52 spl0_82 <=> ~empty(X0)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f6773,plain,(
% 72.56/9.52 ![X0]: (~empty(X0)|~spl0_82)),
% 72.56/9.52 inference(component_clause,[status(thm)],[f6772])).
% 72.56/9.52 fof(f6796,plain,(
% 72.56/9.52 spl0_85 <=> singleton(cartesian_product2(empty_set,sk0_19))=set_difference(singleton(cartesian_product2(empty_set,sk0_19)),singleton(cartesian_product2(empty_set,sk0_19)))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f6797,plain,(
% 72.56/9.52 singleton(cartesian_product2(empty_set,sk0_19))=set_difference(singleton(cartesian_product2(empty_set,sk0_19)),singleton(cartesian_product2(empty_set,sk0_19)))|~spl0_85),
% 72.56/9.52 inference(component_clause,[status(thm)],[f6796])).
% 72.56/9.52 fof(f6831,plain,(
% 72.56/9.52 singleton(cartesian_product2(empty_set,sk0_19))=empty_set|~spl0_85),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f3501,f6797])).
% 72.56/9.52 fof(f6832,plain,(
% 72.56/9.52 $false|~spl0_85),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f6831,f205])).
% 72.56/9.52 fof(f6833,plain,(
% 72.56/9.52 ~spl0_85),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f6832])).
% 72.56/9.52 fof(f6834,plain,(
% 72.56/9.52 $false|~spl0_60),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f6186,f205])).
% 72.56/9.52 fof(f6835,plain,(
% 72.56/9.52 ~spl0_60),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f6834])).
% 72.56/9.52 fof(f6920,plain,(
% 72.56/9.52 spl0_90 <=> subset(ordered_pair(sk0_16,sk0_17),singleton(sk0_16))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f6921,plain,(
% 72.56/9.52 subset(ordered_pair(sk0_16,sk0_17),singleton(sk0_16))|~spl0_90),
% 72.56/9.52 inference(component_clause,[status(thm)],[f6920])).
% 72.56/9.52 fof(f6922,plain,(
% 72.56/9.52 ~subset(ordered_pair(sk0_16,sk0_17),singleton(sk0_16))|spl0_90),
% 72.56/9.52 inference(component_clause,[status(thm)],[f6920])).
% 72.56/9.52 fof(f7085,plain,(
% 72.56/9.52 set_intersection2(ordered_pair(sk0_16,sk0_17),singleton(sk0_16))=ordered_pair(sk0_16,sk0_17)|~spl0_90),
% 72.56/9.52 inference(resolution,[status(thm)],[f6921,f261])).
% 72.56/9.52 fof(f7086,plain,(
% 72.56/9.52 set_intersection2(singleton(sk0_16),ordered_pair(sk0_16,sk0_17))=ordered_pair(sk0_16,sk0_17)|~spl0_90),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f7085])).
% 72.56/9.52 fof(f7619,plain,(
% 72.56/9.52 subset(ordered_pair(sk0_16,sk0_17),empty_set)|in(singleton(sk0_16),ordered_pair(sk0_16,sk0_17))|~spl0_30),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f3682,f152])).
% 72.56/9.52 fof(f7620,plain,(
% 72.56/9.52 spl0_27|spl0_34|~spl0_30),
% 72.56/9.52 inference(split_clause,[status(thm)],[f7619,f3639,f3906,f3681])).
% 72.56/9.52 fof(f7676,plain,(
% 72.56/9.52 spl0_111 <=> ordered_pair(sk0_16,sk0_17)=set_intersection2(ordered_pair(sk0_16,sk0_17),singleton(sk0_16))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f7677,plain,(
% 72.56/9.52 ordered_pair(sk0_16,sk0_17)=set_intersection2(ordered_pair(sk0_16,sk0_17),singleton(sk0_16))|~spl0_111),
% 72.56/9.52 inference(component_clause,[status(thm)],[f7676])).
% 72.56/9.52 fof(f7678,plain,(
% 72.56/9.52 ~ordered_pair(sk0_16,sk0_17)=set_intersection2(ordered_pair(sk0_16,sk0_17),singleton(sk0_16))|spl0_111),
% 72.56/9.52 inference(component_clause,[status(thm)],[f7676])).
% 72.56/9.52 fof(f7679,plain,(
% 72.56/9.52 spl0_112 <=> subset(ordered_pair(sk0_16,sk0_17),ordered_pair(sk0_16,sk0_17))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f7681,plain,(
% 72.56/9.52 ~subset(ordered_pair(sk0_16,sk0_17),ordered_pair(sk0_16,sk0_17))|spl0_112),
% 72.56/9.52 inference(component_clause,[status(thm)],[f7679])).
% 72.56/9.52 fof(f7682,plain,(
% 72.56/9.52 ordered_pair(sk0_16,sk0_17)=set_intersection2(ordered_pair(sk0_16,sk0_17),singleton(sk0_16))|~subset(ordered_pair(sk0_16,sk0_17),ordered_pair(sk0_16,sk0_17))|~spl0_90),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f7086,f3369])).
% 72.56/9.52 fof(f7683,plain,(
% 72.56/9.52 spl0_111|~spl0_112|~spl0_90),
% 72.56/9.52 inference(split_clause,[status(thm)],[f7682,f7676,f7679,f6920])).
% 72.56/9.52 fof(f7735,plain,(
% 72.56/9.52 $false|spl0_112),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f7681,f347])).
% 72.56/9.52 fof(f7736,plain,(
% 72.56/9.52 spl0_112),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f7735])).
% 72.56/9.52 fof(f7737,plain,(
% 72.56/9.52 ordered_pair(sk0_16,sk0_17)=set_intersection2(singleton(sk0_16),ordered_pair(sk0_16,sk0_17))|~spl0_111),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f7677])).
% 72.56/9.52 fof(f7892,plain,(
% 72.56/9.52 spl0_115 <=> X0=unordered_pair(X1,set_union2(X2,singleton(X0)))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f7893,plain,(
% 72.56/9.52 ![X0,X1,X2]: (X0=unordered_pair(X1,set_union2(X2,singleton(X0)))|~spl0_115)),
% 72.56/9.52 inference(component_clause,[status(thm)],[f7892])).
% 72.56/9.52 fof(f7982,plain,(
% 72.56/9.52 ![X0]: (ordered_pair(X0,X0)=unordered_pair(singleton(X0),singleton(X0)))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f305,f382])).
% 72.56/9.52 fof(f7983,plain,(
% 72.56/9.52 ![X0]: (ordered_pair(X0,X0)=singleton(singleton(X0)))),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f305,f7982])).
% 72.56/9.52 fof(f8016,plain,(
% 72.56/9.52 spl0_116 <=> ordered_pair(sk0_16,sk0_17)=set_intersection2(singleton(sk0_16),ordered_pair(sk0_16,sk0_17))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f8017,plain,(
% 72.56/9.52 ordered_pair(sk0_16,sk0_17)=set_intersection2(singleton(sk0_16),ordered_pair(sk0_16,sk0_17))|~spl0_116),
% 72.56/9.52 inference(component_clause,[status(thm)],[f8016])).
% 72.56/9.52 fof(f8036,plain,(
% 72.56/9.52 ![X0]: (~in(X0,ordered_pair(sk0_16,sk0_17))|in(X0,singleton(sk0_16))|~spl0_111)),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f7737,f362])).
% 72.56/9.52 fof(f8087,plain,(
% 72.56/9.52 spl0_120 <=> ordered_pair(sk0_16,sk0_17)=set_intersection2(singleton(singleton(sk0_16)),ordered_pair(sk0_16,sk0_17))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f8088,plain,(
% 72.56/9.52 ordered_pair(sk0_16,sk0_17)=set_intersection2(singleton(singleton(sk0_16)),ordered_pair(sk0_16,sk0_17))|~spl0_120),
% 72.56/9.52 inference(component_clause,[status(thm)],[f8087])).
% 72.56/9.52 fof(f8092,plain,(
% 72.56/9.52 spl0_121 <=> singleton(singleton(sk0_16))=set_intersection2(singleton(singleton(sk0_16)),ordered_pair(sk0_16,sk0_17))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f8093,plain,(
% 72.56/9.52 singleton(singleton(sk0_16))=set_intersection2(singleton(singleton(sk0_16)),ordered_pair(sk0_16,sk0_17))|~spl0_121),
% 72.56/9.52 inference(component_clause,[status(thm)],[f8092])).
% 72.56/9.52 fof(f8095,plain,(
% 72.56/9.52 spl0_122 <=> subset(singleton(singleton(sk0_16)),ordered_pair(sk0_16,sk0_17))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f8097,plain,(
% 72.56/9.52 ~subset(singleton(singleton(sk0_16)),ordered_pair(sk0_16,sk0_17))|spl0_122),
% 72.56/9.52 inference(component_clause,[status(thm)],[f8095])).
% 72.56/9.52 fof(f8100,plain,(
% 72.56/9.52 spl0_123 <=> singleton(singleton(sk0_16))=set_intersection2(ordered_pair(sk0_16,sk0_17),singleton(singleton(sk0_16)))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f8102,plain,(
% 72.56/9.52 ~singleton(singleton(sk0_16))=set_intersection2(ordered_pair(sk0_16,sk0_17),singleton(singleton(sk0_16)))|spl0_123),
% 72.56/9.52 inference(component_clause,[status(thm)],[f8100])).
% 72.56/9.52 fof(f8105,plain,(
% 72.56/9.52 spl0_124 <=> ordered_pair(sk0_16,sk0_17)=set_intersection2(ordered_pair(sk0_16,sk0_17),singleton(singleton(sk0_16)))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f8106,plain,(
% 72.56/9.52 ordered_pair(sk0_16,sk0_17)=set_intersection2(ordered_pair(sk0_16,sk0_17),singleton(singleton(sk0_16)))|~spl0_124),
% 72.56/9.52 inference(component_clause,[status(thm)],[f8105])).
% 72.56/9.52 fof(f8107,plain,(
% 72.56/9.52 ~ordered_pair(sk0_16,sk0_17)=set_intersection2(ordered_pair(sk0_16,sk0_17),singleton(singleton(sk0_16)))|spl0_124),
% 72.56/9.52 inference(component_clause,[status(thm)],[f8105])).
% 72.56/9.52 fof(f8119,plain,(
% 72.56/9.52 ordered_pair(sk0_16,sk0_17)=set_intersection2(singleton(singleton(sk0_16)),ordered_pair(sk0_16,sk0_17))|~spl0_124),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f8106])).
% 72.56/9.52 fof(f8122,plain,(
% 72.56/9.52 singleton(singleton(sk0_16))=ordered_pair(sk0_16,sk0_17)|~spl0_124|~spl0_121),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f8119,f8093])).
% 72.56/9.52 fof(f8131,plain,(
% 72.56/9.52 ~singleton(singleton(sk0_16))=set_intersection2(singleton(singleton(sk0_16)),ordered_pair(sk0_16,sk0_17))|spl0_123),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f8102])).
% 72.56/9.52 fof(f8132,plain,(
% 72.56/9.52 ~singleton(singleton(sk0_16))=ordered_pair(sk0_16,sk0_17)|~spl0_124|spl0_123),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f8119,f8131])).
% 72.56/9.52 fof(f8133,plain,(
% 72.56/9.52 ~singleton(singleton(sk0_16))=singleton(singleton(sk0_16))|~spl0_121|~spl0_124|spl0_123),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f8122,f8132])).
% 72.56/9.52 fof(f8134,plain,(
% 72.56/9.52 $false|~spl0_121|~spl0_124|spl0_123),
% 72.56/9.52 inference(trivial_equality_resolution,[status(esa)],[f8133])).
% 72.56/9.52 fof(f8135,plain,(
% 72.56/9.52 ~spl0_121|~spl0_124|spl0_123),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f8134])).
% 72.56/9.52 fof(f8153,plain,(
% 72.56/9.52 ordered_pair(sk0_16,sk0_17)=set_intersection2(singleton(singleton(sk0_16)),ordered_pair(sk0_16,sk0_17))|~subset(ordered_pair(sk0_16,sk0_17),ordered_pair(sk0_16,sk0_17))|~spl0_124),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f8119,f422])).
% 72.56/9.52 fof(f8154,plain,(
% 72.56/9.52 spl0_120|~spl0_112|~spl0_124),
% 72.56/9.52 inference(split_clause,[status(thm)],[f8153,f8087,f7679,f8105])).
% 72.56/9.52 fof(f8155,plain,(
% 72.56/9.52 singleton(singleton(sk0_16))=set_intersection2(singleton(singleton(sk0_16)),ordered_pair(sk0_16,sk0_17))|~subset(singleton(singleton(sk0_16)),ordered_pair(sk0_16,sk0_17))|~spl0_124),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f8119,f423])).
% 72.56/9.52 fof(f8156,plain,(
% 72.56/9.52 spl0_121|~spl0_122|~spl0_124),
% 72.56/9.52 inference(split_clause,[status(thm)],[f8155,f8092,f8095,f8105])).
% 72.56/9.52 fof(f8170,plain,(
% 72.56/9.52 ~ordered_pair(sk0_16,sk0_17)=set_intersection2(singleton(singleton(sk0_16)),ordered_pair(sk0_16,sk0_17))|spl0_124),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f8107])).
% 72.56/9.52 fof(f8171,plain,(
% 72.56/9.52 ~ordered_pair(sk0_16,sk0_17)=ordered_pair(sk0_16,sk0_17)|~spl0_120|spl0_124),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f8088,f8170])).
% 72.56/9.52 fof(f8172,plain,(
% 72.56/9.52 $false|~spl0_120|spl0_124),
% 72.56/9.52 inference(trivial_equality_resolution,[status(esa)],[f8171])).
% 72.56/9.52 fof(f8173,plain,(
% 72.56/9.52 ~spl0_120|spl0_124),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f8172])).
% 72.56/9.52 fof(f8191,plain,(
% 72.56/9.52 ![X0,X1,X2]: (X0=unordered_pair(set_union2(X1,singleton(X0)),X2)|~spl0_115)),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f93,f7893])).
% 72.56/9.52 fof(f8192,plain,(
% 72.56/9.52 spl0_37|~spl0_115),
% 72.56/9.52 inference(split_clause,[status(thm)],[f8191,f4964,f7892])).
% 72.56/9.52 fof(f8507,plain,(
% 72.56/9.52 pd0_0(sk0_6(ordered_pair(sk0_16,sk0_17),cartesian_product2(sk0_18,sk0_19),sk0_19,sk0_18),sk0_5(ordered_pair(sk0_16,sk0_17),cartesian_product2(sk0_18,sk0_19),sk0_19,sk0_18),ordered_pair(sk0_16,sk0_17),sk0_19,sk0_18)|~spl0_0),
% 72.56/9.52 inference(resolution,[status(thm)],[f336,f360])).
% 72.56/9.52 fof(f8705,plain,(
% 72.56/9.52 ![X0,X1,X2,X3,X4,X5,X6]: (pd0_0(X0,X1,ordered_pair(X1,X0),X2,cartesian_product2(X3,X4))|~in(X0,X2)|~pd0_0(X5,X6,X1,X4,X3))),
% 72.56/9.52 inference(resolution,[status(thm)],[f376,f361])).
% 72.56/9.52 fof(f8732,plain,(
% 72.56/9.52 in(singleton(sk0_16),singleton(sk0_16))|~spl0_111),
% 72.56/9.52 inference(resolution,[status(thm)],[f8036,f389])).
% 72.56/9.52 fof(f8745,plain,(
% 72.56/9.52 singleton(sk0_16)=sk0_16|~spl0_111),
% 72.56/9.52 inference(resolution,[status(thm)],[f8732,f349])).
% 72.56/9.52 fof(f8765,plain,(
% 72.56/9.52 ~in(singleton(sk0_16),singleton(sk0_16))|~spl0_111),
% 72.56/9.52 inference(resolution,[status(thm)],[f8732,f90])).
% 72.56/9.52 fof(f8766,plain,(
% 72.56/9.52 ~in(sk0_16,singleton(sk0_16))|~spl0_111),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f8745,f8765])).
% 72.56/9.52 fof(f8767,plain,(
% 72.56/9.52 ~in(sk0_16,sk0_16)|~spl0_111),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f8745,f8766])).
% 72.56/9.52 fof(f8768,plain,(
% 72.56/9.52 in(singleton(sk0_16),sk0_16)|~spl0_111),
% 72.56/9.52 inference(backward_demodulation,[status(thm)],[f8745,f8732])).
% 72.56/9.52 fof(f8769,plain,(
% 72.56/9.52 in(sk0_16,sk0_16)|~spl0_111),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f8745,f8768])).
% 72.56/9.52 fof(f8770,plain,(
% 72.56/9.52 $false|~spl0_111),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f8769,f8767])).
% 72.56/9.52 fof(f8771,plain,(
% 72.56/9.52 ~spl0_111),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f8770])).
% 72.56/9.52 fof(f8772,plain,(
% 72.56/9.52 ~ordered_pair(sk0_16,sk0_17)=set_intersection2(singleton(sk0_16),ordered_pair(sk0_16,sk0_17))|spl0_111),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f7678])).
% 72.56/9.52 fof(f8773,plain,(
% 72.56/9.52 ~ordered_pair(sk0_16,sk0_17)=ordered_pair(sk0_16,sk0_17)|~spl0_116|spl0_111),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f8017,f8772])).
% 72.56/9.52 fof(f8774,plain,(
% 72.56/9.52 $false|~spl0_116|spl0_111),
% 72.56/9.52 inference(trivial_equality_resolution,[status(esa)],[f8773])).
% 72.56/9.52 fof(f8775,plain,(
% 72.56/9.52 ~spl0_116|spl0_111),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f8774])).
% 72.56/9.52 fof(f8826,plain,(
% 72.56/9.52 spl0_129 <=> set_intersection2(singleton(ordered_pair(sk0_16,sk0_17)),singleton(sk0_16))=empty_set),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f8829,plain,(
% 72.56/9.52 set_intersection2(singleton(ordered_pair(sk0_16,sk0_17)),singleton(sk0_16))=empty_set|ordered_pair(sk0_16,sk0_17)=empty_set|~spl0_11),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f2990,f3468])).
% 72.56/9.52 fof(f8830,plain,(
% 72.56/9.52 spl0_129|spl0_32|~spl0_11),
% 72.56/9.52 inference(split_clause,[status(thm)],[f8829,f8826,f3892,f2989])).
% 72.56/9.52 fof(f9317,plain,(
% 72.56/9.52 spl0_130 <=> in(sk0_1(singleton(sk0_16)),sk0_18)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f9319,plain,(
% 72.56/9.52 ~in(sk0_1(singleton(sk0_16)),sk0_18)|spl0_130),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9317])).
% 72.56/9.52 fof(f9320,plain,(
% 72.56/9.52 spl0_131 <=> singleton(sk0_16)=empty_set),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f9321,plain,(
% 72.56/9.52 singleton(sk0_16)=empty_set|~spl0_131),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9320])).
% 72.56/9.52 fof(f9328,plain,(
% 72.56/9.52 $false|~spl0_131),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f9321,f205])).
% 72.56/9.52 fof(f9329,plain,(
% 72.56/9.52 ~spl0_131),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f9328])).
% 72.56/9.52 fof(f9333,plain,(
% 72.56/9.52 spl0_133 <=> sk0_18=empty_set),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f9334,plain,(
% 72.56/9.52 sk0_18=empty_set|~spl0_133),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9333])).
% 72.56/9.52 fof(f9335,plain,(
% 72.56/9.52 ~sk0_18=empty_set|spl0_133),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9333])).
% 72.56/9.52 fof(f9361,plain,(
% 72.56/9.52 spl0_135 <=> ~pd0_0(X0,X1,X2,X3,X4)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f9362,plain,(
% 72.56/9.52 ![X0,X1,X2,X3,X4]: (~pd0_0(X0,X1,X2,X3,X4)|~spl0_135)),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9361])).
% 72.56/9.52 fof(f9374,plain,(
% 72.56/9.52 ![X0,X1,X2,X3]: (~in(X0,X1)|~in(X2,X3)|~spl0_135)),
% 72.56/9.52 inference(backward_subsumption_resolution,[status(thm)],[f376,f9362])).
% 72.56/9.52 fof(f9375,plain,(
% 72.56/9.52 spl0_43|~spl0_135),
% 72.56/9.52 inference(split_clause,[status(thm)],[f9374,f5813,f9361])).
% 72.56/9.52 fof(f9378,plain,(
% 72.56/9.52 ~in(sk0_16,sk0_18)|spl0_130),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f1610,f9319])).
% 72.56/9.52 fof(f9379,plain,(
% 72.56/9.52 ~spl0_1|spl0_130),
% 72.56/9.52 inference(split_clause,[status(thm)],[f9378,f338,f9317])).
% 72.56/9.52 fof(f9395,plain,(
% 72.56/9.52 set_intersection2(sk0_16,singleton(sk0_18))=empty_set|~spl0_1),
% 72.56/9.52 inference(resolution,[status(thm)],[f339,f4838])).
% 72.56/9.52 fof(f9399,plain,(
% 72.56/9.52 ![X0]: (in(X0,empty_set)|~in(X0,sk0_16)|~in(X0,singleton(sk0_18))|~spl0_1)),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f9395,f364])).
% 72.56/9.52 fof(f9400,plain,(
% 72.56/9.52 ![X0]: (~in(X0,sk0_16)|~in(X0,singleton(sk0_18))|~spl0_1)),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f9399,f351])).
% 72.56/9.52 fof(f9415,plain,(
% 72.56/9.52 set_intersection2(sk0_17,singleton(sk0_19))=empty_set|~spl0_2),
% 72.56/9.52 inference(resolution,[status(thm)],[f343,f4838])).
% 72.56/9.52 fof(f9451,plain,(
% 72.56/9.52 set_intersection2(ordered_pair(sk0_16,sk0_17),empty_set)=ordered_pair(sk0_16,sk0_17)|~spl0_27),
% 72.56/9.52 inference(resolution,[status(thm)],[f3640,f261])).
% 72.56/9.52 fof(f9452,plain,(
% 72.56/9.52 empty_set=ordered_pair(sk0_16,sk0_17)|~spl0_27),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f262,f9451])).
% 72.56/9.52 fof(f9453,plain,(
% 72.56/9.52 $false|spl0_32|~spl0_27),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f9452,f3894])).
% 72.56/9.52 fof(f9454,plain,(
% 72.56/9.52 spl0_32|~spl0_27),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f9453])).
% 72.56/9.52 fof(f9461,plain,(
% 72.56/9.52 ~subset(empty_set,singleton(sk0_16))|~spl0_32|spl0_90),
% 72.56/9.52 inference(backward_demodulation,[status(thm)],[f3893,f6922])).
% 72.56/9.52 fof(f9462,plain,(
% 72.56/9.52 $false|~spl0_32|spl0_90),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f9461,f268])).
% 72.56/9.52 fof(f9463,plain,(
% 72.56/9.52 ~spl0_32|spl0_90),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f9462])).
% 72.56/9.52 fof(f9468,plain,(
% 72.56/9.52 spl0_138 <=> singleton(ordered_pair(sk0_16,sk0_17))=empty_set),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f9469,plain,(
% 72.56/9.52 singleton(ordered_pair(sk0_16,sk0_17))=empty_set|~spl0_138),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9468])).
% 72.56/9.52 fof(f9474,plain,(
% 72.56/9.52 $false|~spl0_138),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f9469,f205])).
% 72.56/9.52 fof(f9475,plain,(
% 72.56/9.52 ~spl0_138),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f9474])).
% 72.56/9.52 fof(f9793,plain,(
% 72.56/9.52 spl0_140 <=> subset(singleton(ordered_pair(sk0_16,sk0_17)),empty_set)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f9795,plain,(
% 72.56/9.52 ~subset(singleton(ordered_pair(sk0_16,sk0_17)),empty_set)|spl0_140),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9793])).
% 72.56/9.52 fof(f9801,plain,(
% 72.56/9.52 spl0_142 <=> subset(singleton(sk0_19),empty_set)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f9802,plain,(
% 72.56/9.52 subset(singleton(sk0_19),empty_set)|~spl0_142),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9801])).
% 72.56/9.52 fof(f9803,plain,(
% 72.56/9.52 ~subset(singleton(sk0_19),empty_set)|spl0_142),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9801])).
% 72.56/9.52 fof(f9806,plain,(
% 72.56/9.52 spl0_143 <=> singleton(sk0_18)=set_intersection2(singleton(sk0_18),sk0_16)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f9807,plain,(
% 72.56/9.52 singleton(sk0_18)=set_intersection2(singleton(sk0_18),sk0_16)|~spl0_143),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9806])).
% 72.56/9.52 fof(f9808,plain,(
% 72.56/9.52 ~singleton(sk0_18)=set_intersection2(singleton(sk0_18),sk0_16)|spl0_143),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9806])).
% 72.56/9.52 fof(f9809,plain,(
% 72.56/9.52 spl0_144 <=> subset(singleton(sk0_18),empty_set)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f9810,plain,(
% 72.56/9.52 subset(singleton(sk0_18),empty_set)|~spl0_144),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9809])).
% 72.56/9.52 fof(f9811,plain,(
% 72.56/9.52 ~subset(singleton(sk0_18),empty_set)|spl0_144),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9809])).
% 72.56/9.52 fof(f9866,plain,(
% 72.56/9.52 singleton(sk0_18)=set_intersection2(sk0_16,singleton(sk0_18))|~spl0_143),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f9807])).
% 72.56/9.52 fof(f9867,plain,(
% 72.56/9.52 singleton(sk0_18)=empty_set|~spl0_1|~spl0_143),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f9395,f9866])).
% 72.56/9.52 fof(f9868,plain,(
% 72.56/9.52 $false|~spl0_1|~spl0_143),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f9867,f205])).
% 72.56/9.52 fof(f9869,plain,(
% 72.56/9.52 ~spl0_1|~spl0_143),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f9868])).
% 72.56/9.52 fof(f9878,plain,(
% 72.56/9.52 ~singleton(sk0_18)=set_intersection2(sk0_16,singleton(sk0_18))|spl0_143),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f9808])).
% 72.56/9.52 fof(f9893,plain,(
% 72.56/9.52 spl0_147 <=> sk0_17=set_intersection2(singleton(sk0_19),sk0_17)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f9894,plain,(
% 72.56/9.52 sk0_17=set_intersection2(singleton(sk0_19),sk0_17)|~spl0_147),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9893])).
% 72.56/9.52 fof(f9895,plain,(
% 72.56/9.52 ~sk0_17=set_intersection2(singleton(sk0_19),sk0_17)|spl0_147),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9893])).
% 72.56/9.52 fof(f9896,plain,(
% 72.56/9.52 spl0_148 <=> subset(sk0_17,empty_set)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f9897,plain,(
% 72.56/9.52 subset(sk0_17,empty_set)|~spl0_148),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9896])).
% 72.56/9.52 fof(f9898,plain,(
% 72.56/9.52 ~subset(sk0_17,empty_set)|spl0_148),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9896])).
% 72.56/9.52 fof(f9901,plain,(
% 72.56/9.52 spl0_149 <=> sk0_16=set_intersection2(singleton(sk0_18),sk0_16)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f9902,plain,(
% 72.56/9.52 sk0_16=set_intersection2(singleton(sk0_18),sk0_16)|~spl0_149),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9901])).
% 72.56/9.52 fof(f9904,plain,(
% 72.56/9.52 spl0_150 <=> subset(sk0_16,empty_set)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f9906,plain,(
% 72.56/9.52 ~subset(sk0_16,empty_set)|spl0_150),
% 72.56/9.52 inference(component_clause,[status(thm)],[f9904])).
% 72.56/9.52 fof(f9907,plain,(
% 72.56/9.52 sk0_16=set_intersection2(singleton(sk0_18),sk0_16)|~subset(sk0_16,empty_set)|~spl0_1),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f9395,f3347])).
% 72.56/9.52 fof(f9908,plain,(
% 72.56/9.52 spl0_149|~spl0_150|~spl0_1),
% 72.56/9.52 inference(split_clause,[status(thm)],[f9907,f9901,f9904,f338])).
% 72.56/9.52 fof(f9962,plain,(
% 72.56/9.52 sk0_16=set_intersection2(sk0_16,singleton(sk0_18))|~spl0_149),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f9902])).
% 72.56/9.52 fof(f9964,plain,(
% 72.56/9.52 sk0_17=set_intersection2(sk0_17,singleton(sk0_19))|~spl0_147),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f9894])).
% 72.56/9.52 fof(f9965,plain,(
% 72.56/9.52 sk0_17=empty_set|~spl0_2|~spl0_147),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f9415,f9964])).
% 72.56/9.52 fof(f10007,plain,(
% 72.56/9.52 ~sk0_17=set_intersection2(sk0_17,singleton(sk0_19))|spl0_147),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f9895])).
% 72.56/9.52 fof(f10201,plain,(
% 72.56/9.52 spl0_32|~spl0_52),
% 72.56/9.52 inference(split_clause,[status(thm)],[f6244,f3892,f6109])).
% 72.56/9.52 fof(f10202,plain,(
% 72.56/9.52 spl0_32|~spl0_72),
% 72.56/9.52 inference(split_clause,[status(thm)],[f6363,f3892,f6336])).
% 72.56/9.52 fof(f10218,plain,(
% 72.56/9.52 ~subset(empty_set,empty_set)|~spl0_2|~spl0_147|spl0_148),
% 72.56/9.52 inference(backward_demodulation,[status(thm)],[f9965,f9898])).
% 72.56/9.52 fof(f10219,plain,(
% 72.56/9.52 ~spl0_20|~spl0_2|~spl0_147|spl0_148),
% 72.56/9.52 inference(split_clause,[status(thm)],[f10218,f3342,f342,f9893,f9896])).
% 72.56/9.52 fof(f10333,plain,(
% 72.56/9.52 spl0_153 <=> singleton(sk0_18)=set_intersection2(sk0_16,singleton(sk0_18))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f10338,plain,(
% 72.56/9.52 spl0_154 <=> sk0_16=set_intersection2(sk0_16,singleton(sk0_18))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f10339,plain,(
% 72.56/9.52 sk0_16=set_intersection2(sk0_16,singleton(sk0_18))|~spl0_154),
% 72.56/9.52 inference(component_clause,[status(thm)],[f10338])).
% 72.56/9.52 fof(f10340,plain,(
% 72.56/9.52 ~sk0_16=set_intersection2(sk0_16,singleton(sk0_18))|spl0_154),
% 72.56/9.52 inference(component_clause,[status(thm)],[f10338])).
% 72.56/9.52 fof(f10341,plain,(
% 72.56/9.52 sk0_16=set_intersection2(sk0_16,singleton(sk0_18))|~subset(sk0_16,empty_set)|~spl0_1),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f9395,f423])).
% 72.56/9.52 fof(f10342,plain,(
% 72.56/9.52 spl0_154|~spl0_150|~spl0_1),
% 72.56/9.52 inference(split_clause,[status(thm)],[f10341,f10338,f9904,f338])).
% 72.56/9.52 fof(f10362,plain,(
% 72.56/9.52 sk0_16=empty_set|~spl0_1|~spl0_154),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f9395,f10339])).
% 72.56/9.52 fof(f10429,plain,(
% 72.56/9.52 ~subset(empty_set,empty_set)|~spl0_1|~spl0_154|spl0_150),
% 72.56/9.52 inference(backward_demodulation,[status(thm)],[f10362,f9906])).
% 72.56/9.52 fof(f10430,plain,(
% 72.56/9.52 ~spl0_20|~spl0_1|~spl0_154|spl0_150),
% 72.56/9.52 inference(split_clause,[status(thm)],[f10429,f3342,f338,f10338,f9904])).
% 72.56/9.52 fof(f10434,plain,(
% 72.56/9.52 ~sk0_16=empty_set|~spl0_1|spl0_154),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f9395,f10340])).
% 72.56/9.52 fof(f10575,plain,(
% 72.56/9.52 ![X0]: (set_intersection2(singleton(set_union2(X0,sk0_18)),sk0_16)=empty_set|~spl0_1)),
% 72.56/9.52 inference(resolution,[status(thm)],[f3377,f339])).
% 72.56/9.52 fof(f10576,plain,(
% 72.56/9.52 ![X0]: (set_intersection2(sk0_16,singleton(set_union2(X0,sk0_18)))=empty_set|~spl0_1)),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f10575])).
% 72.56/9.52 fof(f10594,plain,(
% 72.56/9.52 ![X0,X1,X2]: (set_intersection2(singleton(set_union2(X0,unordered_pair(X1,X2))),X1)=empty_set)),
% 72.56/9.52 inference(resolution,[status(thm)],[f3377,f355])).
% 72.56/9.52 fof(f10595,plain,(
% 72.56/9.52 ![X0,X1,X2]: (set_intersection2(X0,singleton(set_union2(X1,unordered_pair(X0,X2))))=empty_set)),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f10594])).
% 72.56/9.52 fof(f10598,plain,(
% 72.56/9.52 ![X0,X1]: (set_intersection2(singleton(set_union2(X0,singleton(X1))),X1)=empty_set)),
% 72.56/9.52 inference(resolution,[status(thm)],[f3377,f350])).
% 72.56/9.52 fof(f10599,plain,(
% 72.56/9.52 ![X0,X1]: (set_intersection2(X0,singleton(set_union2(X1,singleton(X0))))=empty_set)),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f10598])).
% 72.56/9.52 fof(f10604,plain,(
% 72.56/9.52 spl0_155 <=> X0=set_union2(X1,singleton(singleton(X0)))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f10605,plain,(
% 72.56/9.52 ![X0,X1]: (X0=set_union2(X1,singleton(singleton(X0)))|~spl0_155)),
% 72.56/9.52 inference(component_clause,[status(thm)],[f10604])).
% 72.56/9.52 fof(f10628,plain,(
% 72.56/9.52 ![X0,X1]: (set_difference(X0,empty_set)=set_difference(X0,singleton(set_union2(X1,singleton(X0)))))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f10599,f2443])).
% 72.56/9.52 fof(f10629,plain,(
% 72.56/9.52 ![X0,X1]: (X0=set_difference(X0,singleton(set_union2(X1,singleton(X0)))))),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f281,f10628])).
% 72.56/9.52 fof(f10645,plain,(
% 72.56/9.52 spl0_156 <=> X0=set_union2(X1,unordered_pair(singleton(X0),X2))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f10646,plain,(
% 72.56/9.52 ![X0,X1,X2]: (X0=set_union2(X1,unordered_pair(singleton(X0),X2))|~spl0_156)),
% 72.56/9.52 inference(component_clause,[status(thm)],[f10645])).
% 72.56/9.52 fof(f10672,plain,(
% 72.56/9.52 ![X0,X1,X2]: (set_difference(X0,empty_set)=set_difference(X0,singleton(set_union2(X1,unordered_pair(X0,X2)))))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f10595,f2443])).
% 72.56/9.52 fof(f10673,plain,(
% 72.56/9.52 ![X0,X1,X2]: (X0=set_difference(X0,singleton(set_union2(X1,unordered_pair(X0,X2)))))),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f281,f10672])).
% 72.56/9.52 fof(f10683,plain,(
% 72.56/9.52 ![X0,X1,X2]: (singleton(X0)=set_difference(singleton(X0),singleton(set_union2(X1,ordered_pair(X0,X2)))))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f371,f10673])).
% 72.56/9.52 fof(f10702,plain,(
% 72.56/9.52 spl0_157 <=> X0=set_union2(X1,unordered_pair(X2,singleton(X0)))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f10703,plain,(
% 72.56/9.52 ![X0,X1,X2]: (X0=set_union2(X1,unordered_pair(X2,singleton(X0)))|~spl0_157)),
% 72.56/9.52 inference(component_clause,[status(thm)],[f10702])).
% 72.56/9.52 fof(f10739,plain,(
% 72.56/9.52 ![X0]: (set_intersection2(singleton(set_union2(sk0_18,X0)),sk0_16)=empty_set|~spl0_1)),
% 72.56/9.52 inference(resolution,[status(thm)],[f3378,f339])).
% 72.56/9.52 fof(f10740,plain,(
% 72.56/9.52 ![X0]: (set_intersection2(sk0_16,singleton(set_union2(sk0_18,X0)))=empty_set|~spl0_1)),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f10739])).
% 72.56/9.52 fof(f10758,plain,(
% 72.56/9.52 ![X0,X1,X2]: (set_intersection2(singleton(set_union2(unordered_pair(X0,X1),X2)),X0)=empty_set)),
% 72.56/9.52 inference(resolution,[status(thm)],[f3378,f355])).
% 72.56/9.52 fof(f10759,plain,(
% 72.56/9.52 ![X0,X1,X2]: (set_intersection2(X0,singleton(set_union2(unordered_pair(X0,X1),X2)))=empty_set)),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f10758])).
% 72.56/9.52 fof(f10768,plain,(
% 72.56/9.52 spl0_158 <=> X0=set_union2(singleton(singleton(X0)),X1)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f10769,plain,(
% 72.56/9.52 ![X0,X1]: (X0=set_union2(singleton(singleton(X0)),X1)|~spl0_158)),
% 72.56/9.52 inference(component_clause,[status(thm)],[f10768])).
% 72.56/9.52 fof(f10871,plain,(
% 72.56/9.52 set_intersection2(powerset(empty_set),singleton(ordered_pair(sk0_16,sk0_17)))=empty_set|spl0_27),
% 72.56/9.52 inference(resolution,[status(thm)],[f4829,f3641])).
% 72.56/9.52 fof(f10872,plain,(
% 72.56/9.52 set_intersection2(singleton(empty_set),singleton(ordered_pair(sk0_16,sk0_17)))=empty_set|spl0_27),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f256,f10871])).
% 72.56/9.52 fof(f10873,plain,(
% 72.56/9.52 set_intersection2(powerset(empty_set),singleton(singleton(ordered_pair(sk0_16,sk0_17))))=empty_set|spl0_140),
% 72.56/9.52 inference(resolution,[status(thm)],[f4829,f9795])).
% 72.56/9.52 fof(f10874,plain,(
% 72.56/9.52 set_intersection2(singleton(empty_set),singleton(singleton(ordered_pair(sk0_16,sk0_17))))=empty_set|spl0_140),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f256,f10873])).
% 72.56/9.52 fof(f10875,plain,(
% 72.56/9.52 set_intersection2(powerset(empty_set),singleton(singleton(sk0_16)))=empty_set|spl0_25),
% 72.56/9.52 inference(resolution,[status(thm)],[f4829,f3610])).
% 72.56/9.52 fof(f10876,plain,(
% 72.56/9.52 set_intersection2(singleton(empty_set),singleton(singleton(sk0_16)))=empty_set|spl0_25),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f256,f10875])).
% 72.56/9.52 fof(f10877,plain,(
% 72.56/9.52 set_intersection2(powerset(empty_set),singleton(singleton(sk0_18)))=empty_set|spl0_144),
% 72.56/9.52 inference(resolution,[status(thm)],[f4829,f9811])).
% 72.56/9.52 fof(f10878,plain,(
% 72.56/9.52 set_intersection2(singleton(empty_set),singleton(singleton(sk0_18)))=empty_set|spl0_144),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f256,f10877])).
% 72.56/9.52 fof(f10879,plain,(
% 72.56/9.52 set_intersection2(powerset(empty_set),singleton(singleton(sk0_19)))=empty_set|spl0_142),
% 72.56/9.52 inference(resolution,[status(thm)],[f4829,f9803])).
% 72.56/9.52 fof(f10880,plain,(
% 72.56/9.52 set_intersection2(singleton(empty_set),singleton(singleton(sk0_19)))=empty_set|spl0_142),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f256,f10879])).
% 72.56/9.52 fof(f10881,plain,(
% 72.56/9.52 set_intersection2(powerset(empty_set),singleton(sk0_16))=empty_set|spl0_150),
% 72.56/9.52 inference(resolution,[status(thm)],[f4829,f9906])).
% 72.56/9.52 fof(f10882,plain,(
% 72.56/9.52 set_intersection2(singleton(sk0_16),powerset(empty_set))=empty_set|spl0_150),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f10881])).
% 72.56/9.52 fof(f10883,plain,(
% 72.56/9.52 set_intersection2(singleton(sk0_16),singleton(empty_set))=empty_set|spl0_150),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f256,f10882])).
% 72.56/9.52 fof(f10884,plain,(
% 72.56/9.52 set_intersection2(singleton(empty_set),singleton(sk0_16))=empty_set|spl0_150),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f10883])).
% 72.56/9.52 fof(f10885,plain,(
% 72.56/9.52 set_intersection2(powerset(empty_set),singleton(sk0_17))=empty_set|spl0_148),
% 72.56/9.52 inference(resolution,[status(thm)],[f4829,f9898])).
% 72.56/9.52 fof(f10886,plain,(
% 72.56/9.52 set_intersection2(singleton(sk0_17),powerset(empty_set))=empty_set|spl0_148),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f10885])).
% 72.56/9.52 fof(f10887,plain,(
% 72.56/9.52 set_intersection2(singleton(sk0_17),singleton(empty_set))=empty_set|spl0_148),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f256,f10886])).
% 72.56/9.52 fof(f10888,plain,(
% 72.56/9.52 set_intersection2(singleton(empty_set),singleton(sk0_17))=empty_set|spl0_148),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f10887])).
% 72.56/9.52 fof(f11136,plain,(
% 72.56/9.52 spl0_159 <=> sk0_16=set_intersection2(sk0_16,singleton(set_union2(X0,sk0_18)))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f11137,plain,(
% 72.56/9.52 ![X0]: (sk0_16=set_intersection2(sk0_16,singleton(set_union2(X0,sk0_18)))|~spl0_159)),
% 72.56/9.52 inference(component_clause,[status(thm)],[f11136])).
% 72.56/9.52 fof(f11139,plain,(
% 72.56/9.52 ![X0]: (sk0_16=set_intersection2(sk0_16,singleton(set_union2(X0,sk0_18)))|~subset(sk0_16,empty_set)|~spl0_1)),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f10576,f423])).
% 72.56/9.52 fof(f11140,plain,(
% 72.56/9.52 spl0_159|~spl0_150|~spl0_1),
% 72.56/9.52 inference(split_clause,[status(thm)],[f11139,f11136,f9904,f338])).
% 72.56/9.52 fof(f11141,plain,(
% 72.56/9.52 spl0_160 <=> sk0_16=set_intersection2(singleton(set_union2(X0,sk0_18)),sk0_16)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f11142,plain,(
% 72.56/9.52 ![X0]: (sk0_16=set_intersection2(singleton(set_union2(X0,sk0_18)),sk0_16)|~spl0_160)),
% 72.56/9.52 inference(component_clause,[status(thm)],[f11141])).
% 72.56/9.52 fof(f11144,plain,(
% 72.56/9.52 ![X0]: (sk0_16=set_intersection2(singleton(set_union2(X0,sk0_18)),sk0_16)|~subset(sk0_16,empty_set)|~spl0_1)),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f10576,f3347])).
% 72.56/9.52 fof(f11145,plain,(
% 72.56/9.52 spl0_160|~spl0_150|~spl0_1),
% 72.56/9.52 inference(split_clause,[status(thm)],[f11144,f11141,f9904,f338])).
% 72.56/9.52 fof(f11149,plain,(
% 72.56/9.52 ![X0,X1]: (in(X0,empty_set)|~in(X0,sk0_16)|~in(X0,singleton(set_union2(X1,sk0_18)))|~spl0_1)),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f10576,f364])).
% 72.56/9.52 fof(f11150,plain,(
% 72.56/9.52 ![X0,X1]: (~in(X0,sk0_16)|~in(X0,singleton(set_union2(X1,sk0_18)))|~spl0_1)),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f11149,f351])).
% 72.56/9.52 fof(f11165,plain,(
% 72.56/9.52 ![X0]: (sk0_16=set_intersection2(sk0_16,singleton(set_union2(X0,sk0_18)))|~spl0_160)),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f95,f11142])).
% 72.56/9.52 fof(f11166,plain,(
% 72.56/9.52 sk0_16=empty_set|~spl0_1|~spl0_160),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f10576,f11165])).
% 72.56/9.52 fof(f11167,plain,(
% 72.56/9.52 $false|spl0_154|~spl0_1|~spl0_160),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f11166,f10434])).
% 72.56/9.52 fof(f11168,plain,(
% 72.56/9.52 spl0_154|~spl0_1|~spl0_160),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f11167])).
% 72.56/9.52 fof(f11169,plain,(
% 72.56/9.52 sk0_16=empty_set|~spl0_1|~spl0_159),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f10576,f11137])).
% 72.56/9.52 fof(f11170,plain,(
% 72.56/9.52 $false|spl0_154|~spl0_1|~spl0_159),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f11169,f10434])).
% 72.56/9.52 fof(f11171,plain,(
% 72.56/9.52 spl0_154|~spl0_1|~spl0_159),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f11170])).
% 72.56/9.52 fof(f11341,plain,(
% 72.56/9.52 ![X0]: (singleton(X0)=set_difference(singleton(X0),singleton(X0))|~spl0_155)),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f10605,f10629])).
% 72.56/9.52 fof(f11342,plain,(
% 72.56/9.52 ![X0]: (singleton(X0)=empty_set|~spl0_155)),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f3501,f11341])).
% 72.56/9.52 fof(f11343,plain,(
% 72.56/9.52 $false|~spl0_155),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f11342,f205])).
% 72.56/9.52 fof(f11344,plain,(
% 72.56/9.52 ~spl0_155),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f11343])).
% 72.56/9.52 fof(f11365,plain,(
% 72.56/9.52 spl0_163 <=> empty(X0)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f11366,plain,(
% 72.56/9.52 ![X0]: (empty(X0)|~spl0_163)),
% 72.56/9.52 inference(component_clause,[status(thm)],[f11365])).
% 72.56/9.52 fof(f11368,plain,(
% 72.56/9.52 ![X0,X1]: (empty(X0)|~empty(X1)|~spl0_158)),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f10769,f198])).
% 72.56/9.52 fof(f11369,plain,(
% 72.56/9.52 spl0_163|spl0_82|~spl0_158),
% 72.56/9.52 inference(split_clause,[status(thm)],[f11368,f11365,f6772,f10768])).
% 72.56/9.52 fof(f11534,plain,(
% 72.56/9.52 ![X0,X1,X2]: (X0=set_union2(X1,ordered_pair(X0,X2))|~spl0_156)),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f371,f10646])).
% 72.56/9.52 fof(f11541,plain,(
% 72.56/9.52 ![X0]: (singleton(X0)=set_difference(singleton(X0),singleton(X0))|~spl0_156)),
% 72.56/9.52 inference(backward_demodulation,[status(thm)],[f11534,f10683])).
% 72.56/9.52 fof(f11542,plain,(
% 72.56/9.52 ![X0]: (singleton(X0)=empty_set|~spl0_156)),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f3501,f11541])).
% 72.56/9.52 fof(f11543,plain,(
% 72.56/9.52 $false|~spl0_156),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f11542,f205])).
% 72.56/9.52 fof(f11544,plain,(
% 72.56/9.52 ~spl0_156),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f11543])).
% 72.56/9.52 fof(f11545,plain,(
% 72.56/9.52 ![X0,X1,X2]: (X0=set_union2(X1,unordered_pair(singleton(X0),X2))|~spl0_157)),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f93,f10703])).
% 72.56/9.52 fof(f11546,plain,(
% 72.56/9.52 spl0_156|~spl0_157),
% 72.56/9.52 inference(split_clause,[status(thm)],[f11545,f10645,f10702])).
% 72.56/9.52 fof(f11676,plain,(
% 72.56/9.52 spl0_164 <=> empty_set=unordered_pair(sk0_16,sk0_17)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f11677,plain,(
% 72.56/9.52 empty_set=unordered_pair(sk0_16,sk0_17)|~spl0_164),
% 72.56/9.52 inference(component_clause,[status(thm)],[f11676])).
% 72.56/9.52 fof(f12066,plain,(
% 72.56/9.52 in(sk0_16,empty_set)|~spl0_164),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f11677,f355])).
% 72.56/9.52 fof(f12067,plain,(
% 72.56/9.52 $false|~spl0_164),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f12066,f351])).
% 72.56/9.52 fof(f12068,plain,(
% 72.56/9.52 ~spl0_164),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f12067])).
% 72.56/9.52 fof(f12100,plain,(
% 72.56/9.52 ![X0,X1,X2,X3]: (~in(X0,sk0_16)|~pd0_0(X1,X0,X2,X3,singleton(sk0_18))|~spl0_1)),
% 72.56/9.52 inference(resolution,[status(thm)],[f9400,f331])).
% 72.56/9.52 fof(f12101,plain,(
% 72.56/9.52 ![X0,X1,X2,X3]: (~in(X0,sk0_16)|~pd0_0(X0,X1,X2,singleton(sk0_18),X3)|~spl0_1)),
% 72.56/9.52 inference(resolution,[status(thm)],[f9400,f332])).
% 72.56/9.52 fof(f12337,plain,(
% 72.56/9.52 spl0_165 <=> sk0_16=empty_set),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f12338,plain,(
% 72.56/9.52 sk0_16=empty_set|~spl0_165),
% 72.56/9.52 inference(component_clause,[status(thm)],[f12337])).
% 72.56/9.52 fof(f12340,plain,(
% 72.56/9.52 spl0_166 <=> ~in(sk0_1(sk0_16),singleton(set_union2(X0,sk0_18)))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f12343,plain,(
% 72.56/9.52 ![X0]: (sk0_16=empty_set|~in(sk0_1(sk0_16),singleton(set_union2(X0,sk0_18)))|~spl0_1)),
% 72.56/9.52 inference(resolution,[status(thm)],[f112,f11150])).
% 72.56/9.52 fof(f12344,plain,(
% 72.56/9.52 spl0_165|spl0_166|~spl0_1),
% 72.56/9.52 inference(split_clause,[status(thm)],[f12343,f12337,f12340,f338])).
% 72.56/9.52 fof(f12345,plain,(
% 72.56/9.52 spl0_167 <=> sk0_17=empty_set),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f12346,plain,(
% 72.56/9.52 sk0_17=empty_set|~spl0_167),
% 72.56/9.52 inference(component_clause,[status(thm)],[f12345])).
% 72.56/9.52 fof(f12347,plain,(
% 72.56/9.52 ~sk0_17=empty_set|spl0_167),
% 72.56/9.52 inference(component_clause,[status(thm)],[f12345])).
% 72.56/9.52 fof(f12356,plain,(
% 72.56/9.52 spl0_169 <=> singleton(sk0_18)=empty_set),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f12357,plain,(
% 72.56/9.52 singleton(sk0_18)=empty_set|~spl0_169),
% 72.56/9.52 inference(component_clause,[status(thm)],[f12356])).
% 72.56/9.52 fof(f12359,plain,(
% 72.56/9.52 spl0_170 <=> in(sk0_1(singleton(sk0_18)),sk0_16)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f12362,plain,(
% 72.56/9.52 singleton(sk0_18)=empty_set|~in(sk0_1(singleton(sk0_18)),sk0_16)|~spl0_1),
% 72.56/9.52 inference(resolution,[status(thm)],[f112,f9400])).
% 72.56/9.52 fof(f12363,plain,(
% 72.56/9.52 spl0_169|~spl0_170|~spl0_1),
% 72.56/9.52 inference(split_clause,[status(thm)],[f12362,f12356,f12359,f338])).
% 72.56/9.52 fof(f12364,plain,(
% 72.56/9.52 spl0_171 <=> singleton(sk0_19)=empty_set),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f12365,plain,(
% 72.56/9.52 singleton(sk0_19)=empty_set|~spl0_171),
% 72.56/9.52 inference(component_clause,[status(thm)],[f12364])).
% 72.56/9.52 fof(f12384,plain,(
% 72.56/9.52 $false|~spl0_171),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f12365,f205])).
% 72.56/9.52 fof(f12385,plain,(
% 72.56/9.52 ~spl0_171),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f12384])).
% 72.56/9.52 fof(f12386,plain,(
% 72.56/9.52 $false|~spl0_169),
% 72.56/9.52 inference(forward_subsumption_resolution,[status(thm)],[f12357,f205])).
% 72.56/9.52 fof(f12387,plain,(
% 72.56/9.52 ~spl0_169),
% 72.56/9.52 inference(contradiction_clause,[status(thm)],[f12386])).
% 72.56/9.52 fof(f12785,plain,(
% 72.56/9.52 spl0_177 <=> ~pd0_0(X0,sk0_1(sk0_16),X1,X2,singleton(sk0_18))),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f12788,plain,(
% 72.56/9.52 ![X0,X1,X2]: (~pd0_0(X0,sk0_1(sk0_16),X1,X2,singleton(sk0_18))|sk0_16=empty_set|~spl0_1)),
% 72.56/9.52 inference(resolution,[status(thm)],[f12100,f112])).
% 72.56/9.52 fof(f12789,plain,(
% 72.56/9.52 spl0_177|spl0_165|~spl0_1),
% 72.56/9.52 inference(split_clause,[status(thm)],[f12788,f12785,f12337,f338])).
% 72.56/9.52 fof(f12797,plain,(
% 72.56/9.52 spl0_178 <=> ~pd0_0(sk0_1(sk0_16),X0,X1,singleton(sk0_18),X2)),
% 72.56/9.52 introduced(split_symbol_definition)).
% 72.56/9.52 fof(f12800,plain,(
% 72.56/9.52 ![X0,X1,X2]: (~pd0_0(sk0_1(sk0_16),X0,X1,singleton(sk0_18),X2)|sk0_16=empty_set|~spl0_1)),
% 72.56/9.52 inference(resolution,[status(thm)],[f12101,f112])).
% 72.56/9.52 fof(f12801,plain,(
% 72.56/9.52 spl0_178|spl0_165|~spl0_1),
% 72.56/9.52 inference(split_clause,[status(thm)],[f12800,f12797,f12337,f338])).
% 72.56/9.52 fof(f13149,plain,(
% 72.56/9.52 ![X0,X1,X2,X3,X4]: (pd0_0(sk0_16,X0,ordered_pair(X0,sk0_16),sk0_18,cartesian_product2(X1,X2))|~pd0_0(X3,X4,X0,X2,X1)|~spl0_1)),
% 72.56/9.52 inference(resolution,[status(thm)],[f8705,f339])).
% 72.56/9.52 fof(f13389,plain,(
% 72.56/9.52 ![X0,X1,X2]: (set_difference(X0,empty_set)=set_difference(X0,singleton(set_union2(unordered_pair(X0,X1),X2))))),
% 72.56/9.52 inference(paramodulation,[status(thm)],[f10759,f2443])).
% 72.56/9.52 fof(f13390,plain,(
% 72.56/9.52 ![X0,X1,X2]: (X0=set_difference(X0,singleton(set_union2(unordered_pair(X0,X1),X2))))),
% 72.56/9.52 inference(forward_demodulation,[status(thm)],[f281,f13389])).
% 72.56/9.52 fof(f13449,plain,(
% 72.56/9.52 set_difference(singleton(sk0_16),empty_set)=set_difference(singleton(sk0_16),singleton(empty_set))|spl0_150),
% 72.56/9.53 inference(paramodulation,[status(thm)],[f10884,f3288])).
% 72.56/9.53 fof(f13450,plain,(
% 72.56/9.53 singleton(sk0_16)=set_difference(singleton(sk0_16),singleton(empty_set))|spl0_150),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f281,f13449])).
% 72.56/9.53 fof(f13624,plain,(
% 72.56/9.53 spl0_185 <=> X0=set_union2(unordered_pair(X1,singleton(X0)),X2)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f13625,plain,(
% 72.56/9.53 ![X0,X1,X2]: (X0=set_union2(unordered_pair(X1,singleton(X0)),X2)|~spl0_185)),
% 72.56/9.53 inference(component_clause,[status(thm)],[f13624])).
% 72.56/9.53 fof(f13629,plain,(
% 72.56/9.53 spl0_186 <=> X0=set_union2(unordered_pair(singleton(X0),X1),X2)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f13630,plain,(
% 72.56/9.53 ![X0,X1,X2]: (X0=set_union2(unordered_pair(singleton(X0),X1),X2)|~spl0_186)),
% 72.56/9.53 inference(component_clause,[status(thm)],[f13629])).
% 72.56/9.53 fof(f13800,plain,(
% 72.56/9.53 spl0_187 <=> singleton(ordered_pair(sk0_16,sk0_17))=set_intersection2(singleton(empty_set),singleton(ordered_pair(sk0_16,sk0_17)))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f13801,plain,(
% 72.56/9.53 singleton(ordered_pair(sk0_16,sk0_17))=set_intersection2(singleton(empty_set),singleton(ordered_pair(sk0_16,sk0_17)))|~spl0_187),
% 72.56/9.53 inference(component_clause,[status(thm)],[f13800])).
% 72.56/9.53 fof(f13803,plain,(
% 72.56/9.53 singleton(ordered_pair(sk0_16,sk0_17))=set_intersection2(singleton(empty_set),singleton(ordered_pair(sk0_16,sk0_17)))|~subset(singleton(ordered_pair(sk0_16,sk0_17)),empty_set)|spl0_27),
% 72.56/9.53 inference(paramodulation,[status(thm)],[f10872,f422])).
% 72.56/9.53 fof(f13804,plain,(
% 72.56/9.53 spl0_187|~spl0_140|spl0_27),
% 72.56/9.53 inference(split_clause,[status(thm)],[f13803,f13800,f9793,f3639])).
% 72.56/9.53 fof(f13805,plain,(
% 72.56/9.53 spl0_188 <=> singleton(singleton(ordered_pair(sk0_16,sk0_17)))=set_intersection2(singleton(empty_set),singleton(singleton(ordered_pair(sk0_16,sk0_17))))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f13806,plain,(
% 72.56/9.53 singleton(singleton(ordered_pair(sk0_16,sk0_17)))=set_intersection2(singleton(empty_set),singleton(singleton(ordered_pair(sk0_16,sk0_17))))|~spl0_188),
% 72.56/9.53 inference(component_clause,[status(thm)],[f13805])).
% 72.56/9.53 fof(f13808,plain,(
% 72.56/9.53 spl0_189 <=> subset(singleton(singleton(ordered_pair(sk0_16,sk0_17))),empty_set)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f13811,plain,(
% 72.56/9.53 singleton(singleton(ordered_pair(sk0_16,sk0_17)))=set_intersection2(singleton(empty_set),singleton(singleton(ordered_pair(sk0_16,sk0_17))))|~subset(singleton(singleton(ordered_pair(sk0_16,sk0_17))),empty_set)|spl0_140),
% 72.56/9.53 inference(paramodulation,[status(thm)],[f10874,f422])).
% 72.56/9.53 fof(f13812,plain,(
% 72.56/9.53 spl0_188|~spl0_189|spl0_140),
% 72.56/9.53 inference(split_clause,[status(thm)],[f13811,f13805,f13808,f9793])).
% 72.56/9.53 fof(f13813,plain,(
% 72.56/9.53 spl0_190 <=> singleton(singleton(sk0_19))=set_intersection2(singleton(empty_set),singleton(singleton(sk0_19)))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f13814,plain,(
% 72.56/9.53 singleton(singleton(sk0_19))=set_intersection2(singleton(empty_set),singleton(singleton(sk0_19)))|~spl0_190),
% 72.56/9.53 inference(component_clause,[status(thm)],[f13813])).
% 72.56/9.53 fof(f13816,plain,(
% 72.56/9.53 spl0_191 <=> subset(singleton(singleton(sk0_19)),empty_set)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f13819,plain,(
% 72.56/9.53 singleton(singleton(sk0_19))=set_intersection2(singleton(empty_set),singleton(singleton(sk0_19)))|~subset(singleton(singleton(sk0_19)),empty_set)|spl0_142),
% 72.56/9.53 inference(paramodulation,[status(thm)],[f10880,f422])).
% 72.56/9.53 fof(f13820,plain,(
% 72.56/9.53 spl0_190|~spl0_191|spl0_142),
% 72.56/9.53 inference(split_clause,[status(thm)],[f13819,f13813,f13816,f9801])).
% 72.56/9.53 fof(f13821,plain,(
% 72.56/9.53 spl0_192 <=> singleton(singleton(sk0_18))=set_intersection2(singleton(empty_set),singleton(singleton(sk0_18)))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f13822,plain,(
% 72.56/9.53 singleton(singleton(sk0_18))=set_intersection2(singleton(empty_set),singleton(singleton(sk0_18)))|~spl0_192),
% 72.56/9.53 inference(component_clause,[status(thm)],[f13821])).
% 72.56/9.53 fof(f13824,plain,(
% 72.56/9.53 spl0_193 <=> subset(singleton(singleton(sk0_18)),empty_set)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f13827,plain,(
% 72.56/9.53 singleton(singleton(sk0_18))=set_intersection2(singleton(empty_set),singleton(singleton(sk0_18)))|~subset(singleton(singleton(sk0_18)),empty_set)|spl0_144),
% 72.56/9.53 inference(paramodulation,[status(thm)],[f10878,f422])).
% 72.56/9.53 fof(f13828,plain,(
% 72.56/9.53 spl0_192|~spl0_193|spl0_144),
% 72.56/9.53 inference(split_clause,[status(thm)],[f13827,f13821,f13824,f9809])).
% 72.56/9.53 fof(f13829,plain,(
% 72.56/9.53 spl0_194 <=> singleton(singleton(sk0_16))=set_intersection2(singleton(empty_set),singleton(singleton(sk0_16)))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f13830,plain,(
% 72.56/9.53 singleton(singleton(sk0_16))=set_intersection2(singleton(empty_set),singleton(singleton(sk0_16)))|~spl0_194),
% 72.56/9.53 inference(component_clause,[status(thm)],[f13829])).
% 72.56/9.53 fof(f13832,plain,(
% 72.56/9.53 spl0_195 <=> subset(singleton(singleton(sk0_16)),empty_set)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f13835,plain,(
% 72.56/9.53 singleton(singleton(sk0_16))=set_intersection2(singleton(empty_set),singleton(singleton(sk0_16)))|~subset(singleton(singleton(sk0_16)),empty_set)|spl0_25),
% 72.56/9.53 inference(paramodulation,[status(thm)],[f10876,f422])).
% 72.56/9.53 fof(f13836,plain,(
% 72.56/9.53 spl0_194|~spl0_195|spl0_25),
% 72.56/9.53 inference(split_clause,[status(thm)],[f13835,f13829,f13832,f3608])).
% 72.56/9.53 fof(f13837,plain,(
% 72.56/9.53 spl0_196 <=> singleton(sk0_17)=set_intersection2(singleton(empty_set),singleton(sk0_17))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f13838,plain,(
% 72.56/9.53 singleton(sk0_17)=set_intersection2(singleton(empty_set),singleton(sk0_17))|~spl0_196),
% 72.56/9.53 inference(component_clause,[status(thm)],[f13837])).
% 72.56/9.53 fof(f13840,plain,(
% 72.56/9.53 spl0_197 <=> subset(singleton(sk0_17),empty_set)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f13843,plain,(
% 72.56/9.53 singleton(sk0_17)=set_intersection2(singleton(empty_set),singleton(sk0_17))|~subset(singleton(sk0_17),empty_set)|spl0_148),
% 72.56/9.53 inference(paramodulation,[status(thm)],[f10888,f422])).
% 72.56/9.53 fof(f13844,plain,(
% 72.56/9.53 spl0_196|~spl0_197|spl0_148),
% 72.56/9.53 inference(split_clause,[status(thm)],[f13843,f13837,f13840,f9896])).
% 72.56/9.53 fof(f13845,plain,(
% 72.56/9.53 spl0_198 <=> singleton(sk0_16)=set_intersection2(singleton(empty_set),singleton(sk0_16))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f13846,plain,(
% 72.56/9.53 singleton(sk0_16)=set_intersection2(singleton(empty_set),singleton(sk0_16))|~spl0_198),
% 72.56/9.53 inference(component_clause,[status(thm)],[f13845])).
% 72.56/9.53 fof(f13848,plain,(
% 72.56/9.53 singleton(sk0_16)=set_intersection2(singleton(empty_set),singleton(sk0_16))|~subset(singleton(sk0_16),empty_set)|spl0_150),
% 72.56/9.53 inference(paramodulation,[status(thm)],[f10884,f422])).
% 72.56/9.53 fof(f13849,plain,(
% 72.56/9.53 spl0_198|~spl0_25|spl0_150),
% 72.56/9.53 inference(split_clause,[status(thm)],[f13848,f13845,f3608,f9904])).
% 72.56/9.53 fof(f13910,plain,(
% 72.56/9.53 singleton(sk0_16)=empty_set|spl0_150|~spl0_198),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f10884,f13846])).
% 72.56/9.53 fof(f13911,plain,(
% 72.56/9.53 $false|spl0_150|~spl0_198),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f13910,f205])).
% 72.56/9.53 fof(f13912,plain,(
% 72.56/9.53 spl0_150|~spl0_198),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f13911])).
% 72.56/9.53 fof(f13913,plain,(
% 72.56/9.53 singleton(singleton(sk0_16))=empty_set|spl0_25|~spl0_194),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f10876,f13830])).
% 72.56/9.53 fof(f13914,plain,(
% 72.56/9.53 $false|spl0_25|~spl0_194),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f13913,f205])).
% 72.56/9.53 fof(f13915,plain,(
% 72.56/9.53 spl0_25|~spl0_194),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f13914])).
% 72.56/9.53 fof(f13916,plain,(
% 72.56/9.53 singleton(singleton(sk0_18))=empty_set|spl0_144|~spl0_192),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f10878,f13822])).
% 72.56/9.53 fof(f13917,plain,(
% 72.56/9.53 $false|spl0_144|~spl0_192),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f13916,f205])).
% 72.56/9.53 fof(f13918,plain,(
% 72.56/9.53 spl0_144|~spl0_192),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f13917])).
% 72.56/9.53 fof(f13919,plain,(
% 72.56/9.53 singleton(singleton(sk0_19))=empty_set|spl0_142|~spl0_190),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f10880,f13814])).
% 72.56/9.53 fof(f13920,plain,(
% 72.56/9.53 $false|spl0_142|~spl0_190),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f13919,f205])).
% 72.56/9.53 fof(f13921,plain,(
% 72.56/9.53 spl0_142|~spl0_190),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f13920])).
% 72.56/9.53 fof(f13922,plain,(
% 72.56/9.53 singleton(singleton(ordered_pair(sk0_16,sk0_17)))=empty_set|spl0_140|~spl0_188),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f10874,f13806])).
% 72.56/9.53 fof(f13923,plain,(
% 72.56/9.53 $false|spl0_140|~spl0_188),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f13922,f205])).
% 72.56/9.53 fof(f13924,plain,(
% 72.56/9.53 spl0_140|~spl0_188),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f13923])).
% 72.56/9.53 fof(f13925,plain,(
% 72.56/9.53 singleton(ordered_pair(sk0_16,sk0_17))=empty_set|spl0_27|~spl0_187),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f10872,f13801])).
% 72.56/9.53 fof(f13926,plain,(
% 72.56/9.53 $false|spl0_27|~spl0_187),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f13925,f205])).
% 72.56/9.53 fof(f13927,plain,(
% 72.56/9.53 spl0_27|~spl0_187),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f13926])).
% 72.56/9.53 fof(f14566,plain,(
% 72.56/9.53 spl0_199 <=> singleton(empty_set)=set_intersection2(singleton(empty_set),singleton(singleton(sk0_19)))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f14567,plain,(
% 72.56/9.53 singleton(empty_set)=set_intersection2(singleton(empty_set),singleton(singleton(sk0_19)))|~spl0_199),
% 72.56/9.53 inference(component_clause,[status(thm)],[f14566])).
% 72.56/9.53 fof(f14569,plain,(
% 72.56/9.53 spl0_200 <=> subset(singleton(empty_set),empty_set)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f14572,plain,(
% 72.56/9.53 singleton(empty_set)=set_intersection2(singleton(empty_set),singleton(singleton(sk0_19)))|~subset(singleton(empty_set),empty_set)|spl0_142),
% 72.56/9.53 inference(paramodulation,[status(thm)],[f10880,f423])).
% 72.56/9.53 fof(f14573,plain,(
% 72.56/9.53 spl0_199|~spl0_200|spl0_142),
% 72.56/9.53 inference(split_clause,[status(thm)],[f14572,f14566,f14569,f9801])).
% 72.56/9.53 fof(f14574,plain,(
% 72.56/9.53 spl0_201 <=> singleton(empty_set)=set_intersection2(singleton(empty_set),singleton(singleton(sk0_18)))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f14575,plain,(
% 72.56/9.53 singleton(empty_set)=set_intersection2(singleton(empty_set),singleton(singleton(sk0_18)))|~spl0_201),
% 72.56/9.53 inference(component_clause,[status(thm)],[f14574])).
% 72.56/9.53 fof(f14585,plain,(
% 72.56/9.53 spl0_202 <=> sk0_16=set_intersection2(sk0_16,singleton(set_union2(sk0_18,X0)))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f14586,plain,(
% 72.56/9.53 ![X0]: (sk0_16=set_intersection2(sk0_16,singleton(set_union2(sk0_18,X0)))|~spl0_202)),
% 72.56/9.53 inference(component_clause,[status(thm)],[f14585])).
% 72.56/9.53 fof(f14588,plain,(
% 72.56/9.53 ![X0]: (sk0_16=set_intersection2(sk0_16,singleton(set_union2(sk0_18,X0)))|~subset(sk0_16,empty_set)|~spl0_1)),
% 72.56/9.53 inference(paramodulation,[status(thm)],[f10740,f423])).
% 72.56/9.53 fof(f14589,plain,(
% 72.56/9.53 spl0_202|~spl0_150|~spl0_1),
% 72.56/9.53 inference(split_clause,[status(thm)],[f14588,f14585,f9904,f338])).
% 72.56/9.53 fof(f14637,plain,(
% 72.56/9.53 sk0_16=empty_set|~spl0_1|~spl0_202),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f10740,f14586])).
% 72.56/9.53 fof(f14638,plain,(
% 72.56/9.53 $false|spl0_154|~spl0_1|~spl0_202),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f14637,f10434])).
% 72.56/9.53 fof(f14639,plain,(
% 72.56/9.53 spl0_154|~spl0_1|~spl0_202),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f14638])).
% 72.56/9.53 fof(f14640,plain,(
% 72.56/9.53 singleton(empty_set)=empty_set|spl0_144|~spl0_201),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f10878,f14575])).
% 72.56/9.53 fof(f14641,plain,(
% 72.56/9.53 $false|spl0_144|~spl0_201),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f14640,f205])).
% 72.56/9.53 fof(f14642,plain,(
% 72.56/9.53 spl0_144|~spl0_201),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f14641])).
% 72.56/9.53 fof(f14643,plain,(
% 72.56/9.53 singleton(empty_set)=empty_set|spl0_142|~spl0_199),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f10880,f14567])).
% 72.56/9.53 fof(f14644,plain,(
% 72.56/9.53 $false|spl0_142|~spl0_199),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f14643,f205])).
% 72.56/9.53 fof(f14645,plain,(
% 72.56/9.53 spl0_142|~spl0_199),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f14644])).
% 72.56/9.53 fof(f14655,plain,(
% 72.56/9.53 spl0_203 <=> singleton(empty_set)=set_intersection2(singleton(singleton(sk0_19)),singleton(empty_set))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f14656,plain,(
% 72.56/9.53 singleton(empty_set)=set_intersection2(singleton(singleton(sk0_19)),singleton(empty_set))|~spl0_203),
% 72.56/9.53 inference(component_clause,[status(thm)],[f14655])).
% 72.56/9.53 fof(f14660,plain,(
% 72.56/9.53 spl0_204 <=> singleton(empty_set)=set_intersection2(singleton(singleton(sk0_18)),singleton(empty_set))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f14661,plain,(
% 72.56/9.53 singleton(empty_set)=set_intersection2(singleton(singleton(sk0_18)),singleton(empty_set))|~spl0_204),
% 72.56/9.53 inference(component_clause,[status(thm)],[f14660])).
% 72.56/9.53 fof(f14673,plain,(
% 72.56/9.53 spl0_205 <=> sk0_16=set_intersection2(singleton(set_union2(sk0_18,X0)),sk0_16)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f14674,plain,(
% 72.56/9.53 ![X0]: (sk0_16=set_intersection2(singleton(set_union2(sk0_18,X0)),sk0_16)|~spl0_205)),
% 72.56/9.53 inference(component_clause,[status(thm)],[f14673])).
% 72.56/9.53 fof(f14676,plain,(
% 72.56/9.53 ![X0]: (sk0_16=set_intersection2(singleton(set_union2(sk0_18,X0)),sk0_16)|~subset(sk0_16,empty_set)|~spl0_1)),
% 72.56/9.53 inference(paramodulation,[status(thm)],[f10740,f3347])).
% 72.56/9.53 fof(f14677,plain,(
% 72.56/9.53 spl0_205|~spl0_150|~spl0_1),
% 72.56/9.53 inference(split_clause,[status(thm)],[f14676,f14673,f9904,f338])).
% 72.56/9.53 fof(f14745,plain,(
% 72.56/9.53 ![X0]: (sk0_16=set_intersection2(sk0_16,singleton(set_union2(sk0_18,X0)))|~spl0_205)),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f95,f14674])).
% 72.56/9.53 fof(f14746,plain,(
% 72.56/9.53 sk0_16=empty_set|~spl0_1|~spl0_205),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f10740,f14745])).
% 72.56/9.53 fof(f14747,plain,(
% 72.56/9.53 $false|spl0_154|~spl0_1|~spl0_205),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f14746,f10434])).
% 72.56/9.53 fof(f14748,plain,(
% 72.56/9.53 spl0_154|~spl0_1|~spl0_205),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f14747])).
% 72.56/9.53 fof(f14749,plain,(
% 72.56/9.53 singleton(empty_set)=set_intersection2(singleton(empty_set),singleton(singleton(sk0_18)))|~spl0_204),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f95,f14661])).
% 72.56/9.53 fof(f14750,plain,(
% 72.56/9.53 singleton(empty_set)=empty_set|spl0_144|~spl0_204),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f10878,f14749])).
% 72.56/9.53 fof(f14751,plain,(
% 72.56/9.53 $false|spl0_144|~spl0_204),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f14750,f205])).
% 72.56/9.53 fof(f14752,plain,(
% 72.56/9.53 spl0_144|~spl0_204),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f14751])).
% 72.56/9.53 fof(f14753,plain,(
% 72.56/9.53 singleton(empty_set)=set_intersection2(singleton(empty_set),singleton(singleton(sk0_19)))|~spl0_203),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f95,f14656])).
% 72.56/9.53 fof(f14754,plain,(
% 72.56/9.53 singleton(empty_set)=empty_set|spl0_142|~spl0_203),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f10880,f14753])).
% 72.56/9.53 fof(f14755,plain,(
% 72.56/9.53 $false|spl0_142|~spl0_203),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f14754,f205])).
% 72.56/9.53 fof(f14756,plain,(
% 72.56/9.53 spl0_142|~spl0_203),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f14755])).
% 72.56/9.53 fof(f14768,plain,(
% 72.56/9.53 spl0_206 <=> singleton(singleton(sk0_19))=set_intersection2(singleton(singleton(sk0_19)),singleton(empty_set))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f14769,plain,(
% 72.56/9.53 singleton(singleton(sk0_19))=set_intersection2(singleton(singleton(sk0_19)),singleton(empty_set))|~spl0_206),
% 72.56/9.53 inference(component_clause,[status(thm)],[f14768])).
% 72.56/9.53 fof(f14773,plain,(
% 72.56/9.53 spl0_207 <=> singleton(singleton(sk0_18))=set_intersection2(singleton(singleton(sk0_18)),singleton(empty_set))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f14774,plain,(
% 72.56/9.53 singleton(singleton(sk0_18))=set_intersection2(singleton(singleton(sk0_18)),singleton(empty_set))|~spl0_207),
% 72.56/9.53 inference(component_clause,[status(thm)],[f14773])).
% 72.56/9.53 fof(f14856,plain,(
% 72.56/9.53 singleton(singleton(sk0_18))=set_intersection2(singleton(empty_set),singleton(singleton(sk0_18)))|~spl0_207),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f95,f14774])).
% 72.56/9.53 fof(f14857,plain,(
% 72.56/9.53 singleton(singleton(sk0_18))=empty_set|spl0_144|~spl0_207),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f10878,f14856])).
% 72.56/9.53 fof(f14858,plain,(
% 72.56/9.53 $false|spl0_144|~spl0_207),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f14857,f205])).
% 72.56/9.53 fof(f14859,plain,(
% 72.56/9.53 spl0_144|~spl0_207),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f14858])).
% 72.56/9.53 fof(f14860,plain,(
% 72.56/9.53 singleton(singleton(sk0_19))=set_intersection2(singleton(empty_set),singleton(singleton(sk0_19)))|~spl0_206),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f95,f14769])).
% 72.56/9.53 fof(f14861,plain,(
% 72.56/9.53 singleton(singleton(sk0_19))=empty_set|spl0_142|~spl0_206),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f10880,f14860])).
% 72.56/9.53 fof(f14862,plain,(
% 72.56/9.53 $false|spl0_142|~spl0_206),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f14861,f205])).
% 72.56/9.53 fof(f14863,plain,(
% 72.56/9.53 spl0_142|~spl0_206),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f14862])).
% 72.56/9.53 fof(f14870,plain,(
% 72.56/9.53 spl0_208 <=> ~pd0_0(sk0_4(sk0_16,empty_set,empty_set),X0,X1,singleton(sk0_18),X2)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f14873,plain,(
% 72.56/9.53 ![X0,X1,X2]: (sk0_16=empty_set|~pd0_0(sk0_4(sk0_16,empty_set,empty_set),X0,X1,singleton(sk0_18),X2)|~spl0_1)),
% 72.56/9.53 inference(resolution,[status(thm)],[f5229,f12101])).
% 72.56/9.53 fof(f14874,plain,(
% 72.56/9.53 spl0_165|spl0_208|~spl0_1),
% 72.56/9.53 inference(split_clause,[status(thm)],[f14873,f12337,f14870,f338])).
% 72.56/9.53 fof(f14875,plain,(
% 72.56/9.53 spl0_209 <=> ~pd0_0(X0,sk0_4(sk0_16,empty_set,empty_set),X1,X2,singleton(sk0_18))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f14878,plain,(
% 72.56/9.53 ![X0,X1,X2]: (sk0_16=empty_set|~pd0_0(X0,sk0_4(sk0_16,empty_set,empty_set),X1,X2,singleton(sk0_18))|~spl0_1)),
% 72.56/9.53 inference(resolution,[status(thm)],[f5229,f12100])).
% 72.56/9.53 fof(f14879,plain,(
% 72.56/9.53 spl0_165|spl0_209|~spl0_1),
% 72.56/9.53 inference(split_clause,[status(thm)],[f14878,f12337,f14875,f338])).
% 72.56/9.53 fof(f14880,plain,(
% 72.56/9.53 spl0_210 <=> ~in(sk0_4(sk0_16,empty_set,empty_set),singleton(set_union2(X0,sk0_18)))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f14883,plain,(
% 72.56/9.53 ![X0]: (sk0_16=empty_set|~in(sk0_4(sk0_16,empty_set,empty_set),singleton(set_union2(X0,sk0_18)))|~spl0_1)),
% 72.56/9.53 inference(resolution,[status(thm)],[f5229,f11150])).
% 72.56/9.53 fof(f14884,plain,(
% 72.56/9.53 spl0_165|spl0_210|~spl0_1),
% 72.56/9.53 inference(split_clause,[status(thm)],[f14883,f12337,f14880,f338])).
% 72.56/9.53 fof(f14888,plain,(
% 72.56/9.53 spl0_211 <=> in(sk0_4(singleton(sk0_18),empty_set,empty_set),sk0_16)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f14891,plain,(
% 72.56/9.53 singleton(sk0_18)=empty_set|~in(sk0_4(singleton(sk0_18),empty_set,empty_set),sk0_16)|~spl0_1),
% 72.56/9.53 inference(resolution,[status(thm)],[f5229,f9400])).
% 72.56/9.53 fof(f14892,plain,(
% 72.56/9.53 spl0_169|~spl0_211|~spl0_1),
% 72.56/9.53 inference(split_clause,[status(thm)],[f14891,f12356,f14888,f338])).
% 72.56/9.53 fof(f14990,plain,(
% 72.56/9.53 spl0_212 <=> ~pd0_0(X5,sk0_18,X6,X7,sk0_16)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f14993,plain,(
% 72.56/9.53 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~pd0_0(X0,X1,X2,X3,X4)|~pd0_0(X5,sk0_18,X6,X7,sk0_16)|~spl0_1)),
% 72.56/9.53 inference(resolution,[status(thm)],[f13149,f2861])).
% 72.56/9.53 fof(f14994,plain,(
% 72.56/9.53 spl0_135|spl0_212|~spl0_1),
% 72.56/9.53 inference(split_clause,[status(thm)],[f14993,f9361,f14990,f338])).
% 72.56/9.53 fof(f14996,plain,(
% 72.56/9.53 spl0_213 <=> ~pd0_0(sk0_18,X5,X6,sk0_16,X7)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f14999,plain,(
% 72.56/9.53 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~pd0_0(X0,X1,X2,X3,X4)|~pd0_0(sk0_18,X5,X6,sk0_16,X7)|~spl0_1)),
% 72.56/9.53 inference(resolution,[status(thm)],[f13149,f2894])).
% 72.56/9.53 fof(f15000,plain,(
% 72.56/9.53 spl0_135|spl0_213|~spl0_1),
% 72.56/9.53 inference(split_clause,[status(thm)],[f14999,f9361,f14996,f338])).
% 72.56/9.53 fof(f15011,plain,(
% 72.56/9.53 ![X0]: (singleton(X0)=set_difference(singleton(X0),singleton(X0))|~spl0_186)),
% 72.56/9.53 inference(paramodulation,[status(thm)],[f13630,f13390])).
% 72.56/9.53 fof(f15012,plain,(
% 72.56/9.53 ![X0]: (singleton(X0)=empty_set|~spl0_186)),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f3501,f15011])).
% 72.56/9.53 fof(f15013,plain,(
% 72.56/9.53 $false|~spl0_186),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f15012,f205])).
% 72.56/9.53 fof(f15014,plain,(
% 72.56/9.53 ~spl0_186),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f15013])).
% 72.56/9.53 fof(f15018,plain,(
% 72.56/9.53 $false|~spl0_163),
% 72.56/9.53 inference(backward_subsumption_resolution,[status(thm)],[f192,f11366])).
% 72.56/9.53 fof(f15019,plain,(
% 72.56/9.53 ~spl0_163),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f15018])).
% 72.56/9.53 fof(f15020,plain,(
% 72.56/9.53 $false|~spl0_82),
% 72.56/9.53 inference(backward_subsumption_resolution,[status(thm)],[f191,f6773])).
% 72.56/9.53 fof(f15021,plain,(
% 72.56/9.53 ~spl0_82),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f15020])).
% 72.56/9.53 fof(f15043,plain,(
% 72.56/9.53 ![X0,X1]: (subset(X0,X1)|~spl0_185)),
% 72.56/9.53 inference(paramodulation,[status(thm)],[f13625,f419])).
% 72.56/9.53 fof(f15143,plain,(
% 72.56/9.53 $false|~spl0_185|spl0_142),
% 72.56/9.53 inference(backward_subsumption_resolution,[status(thm)],[f9803,f15043])).
% 72.56/9.53 fof(f15144,plain,(
% 72.56/9.53 ~spl0_185|spl0_142),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f15143])).
% 72.56/9.53 fof(f15171,plain,(
% 72.56/9.53 spl0_217 <=> pd0_0(sk0_16,sk0_16,singleton(singleton(sk0_16)),sk0_18,empty_set)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f15172,plain,(
% 72.56/9.53 pd0_0(sk0_16,sk0_16,singleton(singleton(sk0_16)),sk0_18,empty_set)|~spl0_217),
% 72.56/9.53 inference(component_clause,[status(thm)],[f15171])).
% 72.56/9.53 fof(f15179,plain,(
% 72.56/9.53 $false|~spl0_217),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f15172,f2505])).
% 72.56/9.53 fof(f15180,plain,(
% 72.56/9.53 ~spl0_217),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f15179])).
% 72.56/9.53 fof(f15356,plain,(
% 72.56/9.53 ![X0,X1]: (pd0_0(X0,sk0_16,ordered_pair(sk0_16,X0),X1,sk0_18)|~in(X0,X1)|~spl0_1)),
% 72.56/9.53 inference(resolution,[status(thm)],[f376,f339])).
% 72.56/9.53 fof(f15410,plain,(
% 72.56/9.53 singleton(sk0_17)=empty_set|~spl0_196|spl0_148),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f13838,f10888])).
% 72.56/9.53 fof(f15411,plain,(
% 72.56/9.53 $false|~spl0_196|spl0_148),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f15410,f205])).
% 72.56/9.53 fof(f15412,plain,(
% 72.56/9.53 ~spl0_196|spl0_148),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f15411])).
% 72.56/9.53 fof(f15444,plain,(
% 72.56/9.53 pd0_0(sk0_17,sk0_16,ordered_pair(sk0_16,sk0_17),sk0_19,sk0_18)|~spl0_2|~spl0_1),
% 72.56/9.53 inference(resolution,[status(thm)],[f343,f15356])).
% 72.56/9.53 fof(f15445,plain,(
% 72.56/9.53 $false|spl0_0|~spl0_2|~spl0_1),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f15444,f2760])).
% 72.56/9.53 fof(f15446,plain,(
% 72.56/9.53 spl0_0|~spl0_2|~spl0_1),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f15445])).
% 72.56/9.53 fof(f15476,plain,(
% 72.56/9.53 in(sk0_16,empty_set)|~spl0_133|~spl0_1),
% 72.56/9.53 inference(backward_demodulation,[status(thm)],[f9334,f339])).
% 72.56/9.53 fof(f15477,plain,(
% 72.56/9.53 $false|~spl0_133|~spl0_1),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f15476,f351])).
% 72.56/9.53 fof(f15478,plain,(
% 72.56/9.53 ~spl0_133|~spl0_1),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f15477])).
% 72.56/9.53 fof(f15559,plain,(
% 72.56/9.53 ~sk0_17=set_intersection2(empty_set,singleton(sk0_19))|~spl0_167|spl0_147),
% 72.56/9.53 inference(backward_demodulation,[status(thm)],[f12346,f10007])).
% 72.56/9.53 fof(f15560,plain,(
% 72.56/9.53 ~empty_set=set_intersection2(empty_set,singleton(sk0_19))|~spl0_167|spl0_147),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f12346,f15559])).
% 72.56/9.53 fof(f15561,plain,(
% 72.56/9.53 ~empty_set=empty_set|~spl0_167|spl0_147),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f403,f15560])).
% 72.56/9.53 fof(f15562,plain,(
% 72.56/9.53 $false|~spl0_167|spl0_147),
% 72.56/9.53 inference(trivial_equality_resolution,[status(esa)],[f15561])).
% 72.56/9.53 fof(f15563,plain,(
% 72.56/9.53 ~spl0_167|spl0_147),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f15562])).
% 72.56/9.53 fof(f15609,plain,(
% 72.56/9.53 ~subset(singleton(singleton(sk0_16)),ordered_pair(sk0_16,empty_set))|~spl0_167|spl0_122),
% 72.56/9.53 inference(backward_demodulation,[status(thm)],[f12346,f8097])).
% 72.56/9.53 fof(f15978,plain,(
% 72.56/9.53 set_intersection2(singleton(sk0_19),empty_set)=singleton(sk0_19)|~spl0_142),
% 72.56/9.53 inference(resolution,[status(thm)],[f9802,f261])).
% 72.56/9.53 fof(f15979,plain,(
% 72.56/9.53 empty_set=singleton(sk0_19)|~spl0_142),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f262,f15978])).
% 72.56/9.53 fof(f15980,plain,(
% 72.56/9.53 $false|~spl0_142),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f15979,f205])).
% 72.56/9.53 fof(f15981,plain,(
% 72.56/9.53 ~spl0_142),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f15980])).
% 72.56/9.53 fof(f16034,plain,(
% 72.56/9.53 ![X0,X1,X2]: (~pd0_0(sk0_17,X0,X1,sk0_19,X2)|spl0_2)),
% 72.56/9.53 inference(resolution,[status(thm)],[f344,f332])).
% 72.56/9.53 fof(f16054,plain,(
% 72.56/9.53 spl0_222 <=> disjoint(X0,X1)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f16055,plain,(
% 72.56/9.53 ![X0,X1]: (disjoint(X0,X1)|~spl0_222)),
% 72.56/9.53 inference(component_clause,[status(thm)],[f16054])).
% 72.56/9.53 fof(f16063,plain,(
% 72.56/9.53 ![X0,X1]: (~in(X0,X1)|~spl0_222)),
% 72.56/9.53 inference(backward_subsumption_resolution,[status(thm)],[f209,f16055])).
% 72.56/9.53 fof(f16064,plain,(
% 72.56/9.53 spl0_43|~spl0_222),
% 72.56/9.53 inference(split_clause,[status(thm)],[f16063,f5813,f16054])).
% 72.56/9.53 fof(f16358,plain,(
% 72.56/9.53 sk0_16=set_intersection2(empty_set,singleton(sk0_18))|~spl0_165|~spl0_154),
% 72.56/9.53 inference(backward_demodulation,[status(thm)],[f12338,f10339])).
% 72.56/9.53 fof(f16359,plain,(
% 72.56/9.53 sk0_16=empty_set|~spl0_165|~spl0_154),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f403,f16358])).
% 72.56/9.53 fof(f16872,plain,(
% 72.56/9.53 set_intersection2(singleton(sk0_18),empty_set)=singleton(sk0_18)|~spl0_144),
% 72.56/9.53 inference(resolution,[status(thm)],[f261,f9810])).
% 72.56/9.53 fof(f16873,plain,(
% 72.56/9.53 empty_set=singleton(sk0_18)|~spl0_144),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f262,f16872])).
% 72.56/9.53 fof(f16874,plain,(
% 72.56/9.53 $false|~spl0_144),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f16873,f205])).
% 72.56/9.53 fof(f16875,plain,(
% 72.56/9.53 ~spl0_144),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f16874])).
% 72.56/9.53 fof(f16876,plain,(
% 72.56/9.53 set_intersection2(sk0_17,empty_set)=sk0_17|~spl0_148),
% 72.56/9.53 inference(resolution,[status(thm)],[f261,f9897])).
% 72.56/9.53 fof(f16877,plain,(
% 72.56/9.53 empty_set=sk0_17|~spl0_148),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f262,f16876])).
% 72.56/9.53 fof(f16878,plain,(
% 72.56/9.53 $false|spl0_167|~spl0_148),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f16877,f12347])).
% 72.56/9.53 fof(f16879,plain,(
% 72.56/9.53 spl0_167|~spl0_148),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f16878])).
% 72.56/9.53 fof(f17078,plain,(
% 72.56/9.53 ~subset(singleton(singleton(empty_set)),ordered_pair(sk0_16,empty_set))|~spl0_165|~spl0_154|~spl0_167|spl0_122),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f16359,f15609])).
% 72.56/9.53 fof(f17079,plain,(
% 72.56/9.53 ~subset(singleton(singleton(empty_set)),ordered_pair(empty_set,empty_set))|~spl0_165|~spl0_154|~spl0_167|spl0_122),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f16359,f17078])).
% 72.56/9.53 fof(f17080,plain,(
% 72.56/9.53 ~subset(singleton(singleton(empty_set)),singleton(singleton(empty_set)))|~spl0_165|~spl0_154|~spl0_167|spl0_122),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f7983,f17079])).
% 72.56/9.53 fof(f17081,plain,(
% 72.56/9.53 $false|~spl0_165|~spl0_154|~spl0_167|spl0_122),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f17080,f347])).
% 72.56/9.53 fof(f17082,plain,(
% 72.56/9.53 ~spl0_165|~spl0_154|~spl0_167|spl0_122),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f17081])).
% 72.56/9.53 fof(f17120,plain,(
% 72.56/9.53 spl0_227 <=> singleton(empty_set)=empty_set),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f17121,plain,(
% 72.56/9.53 singleton(empty_set)=empty_set|~spl0_227),
% 72.56/9.53 inference(component_clause,[status(thm)],[f17120])).
% 72.56/9.53 fof(f17126,plain,(
% 72.56/9.53 $false|~spl0_227),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f17121,f205])).
% 72.56/9.53 fof(f17127,plain,(
% 72.56/9.53 ~spl0_227),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f17126])).
% 72.56/9.53 fof(f17730,plain,(
% 72.56/9.53 spl0_228 <=> in(sk0_1(singleton(sk0_17)),singleton(empty_set))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f17732,plain,(
% 72.56/9.53 ~in(sk0_1(singleton(sk0_17)),singleton(empty_set))|spl0_228),
% 72.56/9.53 inference(component_clause,[status(thm)],[f17730])).
% 72.56/9.53 fof(f17733,plain,(
% 72.56/9.53 spl0_229 <=> singleton(sk0_17)=empty_set),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f17734,plain,(
% 72.56/9.53 singleton(sk0_17)=empty_set|~spl0_229),
% 72.56/9.53 inference(component_clause,[status(thm)],[f17733])).
% 72.56/9.53 fof(f17741,plain,(
% 72.56/9.53 ~in(sk0_17,singleton(empty_set))|spl0_228),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f1610,f17732])).
% 72.56/9.53 fof(f17742,plain,(
% 72.56/9.53 $false|~spl0_229),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f17734,f205])).
% 72.56/9.53 fof(f17743,plain,(
% 72.56/9.53 ~spl0_229),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f17742])).
% 72.56/9.53 fof(f18682,plain,(
% 72.56/9.53 set_intersection2(singleton(empty_set),singleton(sk0_17))=empty_set|spl0_228),
% 72.56/9.53 inference(resolution,[status(thm)],[f1635,f17741])).
% 72.56/9.53 fof(f18720,plain,(
% 72.56/9.53 spl0_232 <=> singleton(sk0_17)=set_intersection2(singleton(sk0_17),singleton(empty_set))),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f18721,plain,(
% 72.56/9.53 singleton(sk0_17)=set_intersection2(singleton(sk0_17),singleton(empty_set))|~spl0_232),
% 72.56/9.53 inference(component_clause,[status(thm)],[f18720])).
% 72.56/9.53 fof(f18795,plain,(
% 72.56/9.53 singleton(sk0_17)=set_intersection2(singleton(empty_set),singleton(sk0_17))|~spl0_232),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f95,f18721])).
% 72.56/9.53 fof(f18796,plain,(
% 72.56/9.53 singleton(sk0_17)=empty_set|spl0_148|~spl0_232),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f10888,f18795])).
% 72.56/9.53 fof(f18797,plain,(
% 72.56/9.53 $false|spl0_148|~spl0_232),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f18796,f205])).
% 72.56/9.53 fof(f18798,plain,(
% 72.56/9.53 spl0_148|~spl0_232),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f18797])).
% 72.56/9.53 fof(f18804,plain,(
% 72.56/9.53 set_intersection2(singleton(empty_set),singleton(empty_set))=empty_set|~spl0_167|spl0_228),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f12346,f18682])).
% 72.56/9.53 fof(f18805,plain,(
% 72.56/9.53 singleton(empty_set)=empty_set|~spl0_167|spl0_228),
% 72.56/9.53 inference(forward_demodulation,[status(thm)],[f202,f18804])).
% 72.56/9.53 fof(f18806,plain,(
% 72.56/9.53 $false|~spl0_167|spl0_228),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f18805,f205])).
% 72.56/9.53 fof(f18807,plain,(
% 72.56/9.53 ~spl0_167|spl0_228),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f18806])).
% 72.56/9.53 fof(f19680,plain,(
% 72.56/9.53 spl0_244 <=> subset(singleton(sk0_18),sk0_16)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f19683,plain,(
% 72.56/9.53 singleton(sk0_18)=set_intersection2(sk0_16,singleton(sk0_18))|~subset(singleton(sk0_18),sk0_16)|~spl0_154),
% 72.56/9.53 inference(paramodulation,[status(thm)],[f10339,f422])).
% 72.56/9.53 fof(f19684,plain,(
% 72.56/9.53 spl0_153|~spl0_244|~spl0_154),
% 72.56/9.53 inference(split_clause,[status(thm)],[f19683,f10333,f19680,f10338])).
% 72.56/9.53 fof(f19685,plain,(
% 72.56/9.53 spl0_245 <=> subset(sk0_16,sk0_16)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f19687,plain,(
% 72.56/9.53 ~subset(sk0_16,sk0_16)|spl0_245),
% 72.56/9.53 inference(component_clause,[status(thm)],[f19685])).
% 72.56/9.53 fof(f19707,plain,(
% 72.56/9.53 $false|spl0_245),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f19687,f347])).
% 72.56/9.53 fof(f19708,plain,(
% 72.56/9.53 spl0_245),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f19707])).
% 72.56/9.53 fof(f19832,plain,(
% 72.56/9.53 spl0_154|~spl0_149),
% 72.56/9.53 inference(split_clause,[status(thm)],[f9962,f10338,f9901])).
% 72.56/9.53 fof(f19923,plain,(
% 72.56/9.53 ~subset(empty_set,empty_set)|~spl0_165|spl0_150),
% 72.56/9.53 inference(backward_demodulation,[status(thm)],[f12338,f9906])).
% 72.56/9.53 fof(f19924,plain,(
% 72.56/9.53 ~spl0_20|~spl0_165|spl0_150),
% 72.56/9.53 inference(split_clause,[status(thm)],[f19923,f3342,f12337,f9904])).
% 72.56/9.53 fof(f20012,plain,(
% 72.56/9.53 ~spl0_153|spl0_143),
% 72.56/9.53 inference(split_clause,[status(thm)],[f9878,f10333,f9806])).
% 72.56/9.53 fof(f20146,plain,(
% 72.56/9.53 spl0_251 <=> subset(sk0_18,sk0_18)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f20148,plain,(
% 72.56/9.53 ~subset(sk0_18,sk0_18)|spl0_251),
% 72.56/9.53 inference(component_clause,[status(thm)],[f20146])).
% 72.56/9.53 fof(f20168,plain,(
% 72.56/9.53 $false|spl0_251),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f20148,f347])).
% 72.56/9.53 fof(f20169,plain,(
% 72.56/9.53 spl0_251),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f20168])).
% 72.56/9.53 fof(f20207,plain,(
% 72.56/9.53 ordered_pair(sk0_16,sk0_17)=ordered_pair(sk0_5(ordered_pair(sk0_16,sk0_17),cartesian_product2(sk0_18,sk0_19),sk0_19,sk0_18),sk0_6(ordered_pair(sk0_16,sk0_17),cartesian_product2(sk0_18,sk0_19),sk0_19,sk0_18))|~spl0_0),
% 72.56/9.53 inference(resolution,[status(thm)],[f8507,f333])).
% 72.56/9.53 fof(f20388,plain,(
% 72.56/9.53 spl0_252 <=> X0=empty_set|X0=empty_set),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f20389,plain,(
% 72.56/9.53 ![X0]: (X0=empty_set|X0=empty_set|~spl0_252)),
% 72.56/9.53 inference(component_clause,[status(thm)],[f20388])).
% 72.56/9.53 fof(f20436,plain,(
% 72.56/9.53 ![X0]: (X0=empty_set|~spl0_252)),
% 72.56/9.53 inference(duplicate_literals_removal,[status(esa)],[f20389])).
% 72.56/9.53 fof(f20437,plain,(
% 72.56/9.53 $false|~spl0_252|spl0_133),
% 72.56/9.53 inference(backward_subsumption_resolution,[status(thm)],[f9335,f20436])).
% 72.56/9.53 fof(f20438,plain,(
% 72.56/9.53 ~spl0_252|spl0_133),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f20437])).
% 72.56/9.53 fof(f20779,plain,(
% 72.56/9.53 spl0_254 <=> ~in(X0,X1)|~in(X0,X2)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f20780,plain,(
% 72.56/9.53 ![X0,X1,X2]: (~in(X0,X1)|~in(X0,X2)|~spl0_254)),
% 72.56/9.53 inference(component_clause,[status(thm)],[f20779])).
% 72.56/9.53 fof(f20817,plain,(
% 72.56/9.53 ![X0,X1,X2]: (~in(X0,X1)|in(X0,X2)|~spl0_254)),
% 72.56/9.53 inference(backward_subsumption_resolution,[status(thm)],[f370,f20780])).
% 72.56/9.53 fof(f20818,plain,(
% 72.56/9.53 ![X0,X1]: (~in(X0,X1)|~spl0_254)),
% 72.56/9.53 inference(forward_subsumption_resolution,[status(thm)],[f20817,f20780])).
% 72.56/9.53 fof(f20847,plain,(
% 72.56/9.53 $false|~spl0_254),
% 72.56/9.53 inference(backward_subsumption_resolution,[status(thm)],[f389,f20818])).
% 72.56/9.53 fof(f20848,plain,(
% 72.56/9.53 ~spl0_254),
% 72.56/9.53 inference(contradiction_clause,[status(thm)],[f20847])).
% 72.56/9.53 fof(f21625,plain,(
% 72.56/9.53 spl0_258 <=> singleton(sk0_17)=singleton(sk0_17)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f21627,plain,(
% 72.56/9.53 ~singleton(sk0_17)=singleton(sk0_17)|spl0_258),
% 72.56/9.53 inference(component_clause,[status(thm)],[f21625])).
% 72.56/9.53 fof(f21638,plain,(
% 72.56/9.53 spl0_261 <=> sk0_19=sk0_19),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f21640,plain,(
% 72.56/9.53 ~sk0_19=sk0_19|spl0_261),
% 72.56/9.53 inference(component_clause,[status(thm)],[f21638])).
% 72.56/9.53 fof(f21646,plain,(
% 72.56/9.53 spl0_263 <=> sk0_18=sk0_18),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f21648,plain,(
% 72.56/9.53 ~sk0_18=sk0_18|spl0_263),
% 72.56/9.53 inference(component_clause,[status(thm)],[f21646])).
% 72.56/9.53 fof(f21659,plain,(
% 72.56/9.53 spl0_265 <=> disjoint(empty_set,X0)),
% 72.56/9.53 introduced(split_symbol_definition)).
% 72.56/9.53 fof(f21662,plain,(
% 73.12/9.59 ![X0]: (disjoint(empty_set,X0)|~empty_set=empty_set)),
% 73.12/9.59 inference(paramodulation,[status(thm)],[f294,f317])).
% 73.12/9.59 fof(f21663,plain,(
% 73.12/9.59 spl0_265|~spl0_35),
% 73.12/9.59 inference(split_clause,[status(thm)],[f21662,f21659,f4956])).
% 73.12/9.59 fof(f21698,plain,(
% 73.12/9.59 $false|spl0_263),
% 73.12/9.59 inference(trivial_equality_resolution,[status(esa)],[f21648])).
% 73.12/9.59 fof(f21699,plain,(
% 73.12/9.59 spl0_263),
% 73.12/9.59 inference(contradiction_clause,[status(thm)],[f21698])).
% 73.12/9.59 fof(f21700,plain,(
% 73.12/9.59 $false|spl0_258),
% 73.12/9.59 inference(trivial_equality_resolution,[status(esa)],[f21627])).
% 73.12/9.59 fof(f21701,plain,(
% 73.12/9.59 spl0_258),
% 73.12/9.59 inference(contradiction_clause,[status(thm)],[f21700])).
% 73.12/9.59 fof(f21702,plain,(
% 73.12/9.59 $false|spl0_261),
% 73.12/9.59 inference(trivial_equality_resolution,[status(esa)],[f21640])).
% 73.12/9.59 fof(f21703,plain,(
% 73.12/9.59 spl0_261),
% 73.12/9.59 inference(contradiction_clause,[status(thm)],[f21702])).
% 73.12/9.59 fof(f21704,plain,(
% 73.12/9.59 $false|spl0_49),
% 73.12/9.59 inference(trivial_equality_resolution,[status(esa)],[f6086])).
% 73.12/9.59 fof(f21705,plain,(
% 73.12/9.59 spl0_49),
% 73.12/9.59 inference(contradiction_clause,[status(thm)],[f21704])).
% 73.12/9.59 fof(f21848,plain,(
% 73.12/9.59 spl0_267 <=> disjoint(singleton(sk0_16),singleton(empty_set))),
% 73.12/9.59 introduced(split_symbol_definition)).
% 73.12/9.59 fof(f21851,plain,(
% 73.12/9.59 disjoint(singleton(sk0_16),singleton(empty_set))|~singleton(sk0_16)=singleton(sk0_16)|spl0_150),
% 73.12/9.59 inference(paramodulation,[status(thm)],[f13450,f317])).
% 73.12/9.59 fof(f21852,plain,(
% 73.12/9.59 spl0_267|~spl0_49|spl0_150),
% 73.12/9.59 inference(split_clause,[status(thm)],[f21851,f21848,f6084,f9904])).
% 73.12/9.59 fof(f21855,plain,(
% 73.12/9.59 sk0_17=sk0_6(ordered_pair(sk0_16,sk0_17),cartesian_product2(sk0_18,sk0_19),sk0_19,sk0_18)|~spl0_0),
% 73.12/9.59 inference(resolution,[status(thm)],[f20207,f274])).
% 73.12/9.59 fof(f21856,plain,(
% 73.12/9.59 sk0_16=sk0_5(ordered_pair(sk0_16,sk0_17),cartesian_product2(sk0_18,sk0_19),sk0_19,sk0_18)|~spl0_0),
% 73.12/9.59 inference(resolution,[status(thm)],[f20207,f273])).
% 73.12/9.59 fof(f21931,plain,(
% 73.12/9.59 pd0_0(sk0_17,sk0_5(ordered_pair(sk0_16,sk0_17),cartesian_product2(sk0_18,sk0_19),sk0_19,sk0_18),ordered_pair(sk0_16,sk0_17),sk0_19,sk0_18)|~spl0_0),
% 73.12/9.59 inference(backward_demodulation,[status(thm)],[f21855,f8507])).
% 73.12/9.59 fof(f21932,plain,(
% 73.12/9.59 pd0_0(sk0_17,sk0_16,ordered_pair(sk0_16,sk0_17),sk0_19,sk0_18)|~spl0_0),
% 73.12/9.59 inference(forward_demodulation,[status(thm)],[f21856,f21931])).
% 73.12/9.59 fof(f21933,plain,(
% 73.12/9.59 $false|spl0_2|~spl0_0),
% 73.12/9.59 inference(forward_subsumption_resolution,[status(thm)],[f21932,f16034])).
% 73.12/9.59 fof(f21934,plain,(
% 73.12/9.59 spl0_2|~spl0_0),
% 73.12/9.59 inference(contradiction_clause,[status(thm)],[f21933])).
% 73.12/9.59 fof(f21978,plain,(
% 73.12/9.59 $false|spl0_1|~spl0_0),
% 73.12/9.59 inference(forward_subsumption_resolution,[status(thm)],[f21932,f2488])).
% 73.12/9.59 fof(f21979,plain,(
% 73.12/9.59 spl0_1|~spl0_0),
% 73.12/9.59 inference(contradiction_clause,[status(thm)],[f21978])).
% 73.12/9.59 fof(f21980,plain,(
% 73.12/9.59 $false),
% 73.12/9.59 inference(sat_refutation,[status(thm)],[f341,f345,f346,f2792,f3226,f3228,f3346,f3351,f3358,f3688,f3905,f3910,f4973,f5136,f5282,f5284,f5795,f5891,f6251,f6833,f6835,f7620,f7683,f7736,f8135,f8154,f8156,f8173,f8192,f8771,f8775,f8830,f9329,f9375,f9379,f9454,f9463,f9475,f9869,f9908,f10201,f10202,f10219,f10342,f10430,f11140,f11145,f11168,f11171,f11344,f11369,f11544,f11546,f12068,f12344,f12363,f12385,f12387,f12789,f12801,f13804,f13812,f13820,f13828,f13836,f13844,f13849,f13912,f13915,f13918,f13921,f13924,f13927,f14573,f14589,f14639,f14642,f14645,f14677,f14748,f14752,f14756,f14859,f14863,f14874,f14879,f14884,f14892,f14994,f15000,f15014,f15019,f15021,f15144,f15180,f15412,f15446,f15478,f15563,f15981,f16064,f16875,f16879,f17082,f17127,f17743,f18798,f18807,f19684,f19708,f19832,f19924,f20012,f20169,f20438,f20848,f21663,f21699,f21701,f21703,f21705,f21852,f21934,f21979])).
% 73.12/9.59 % SZS output end CNFRefutation for theBenchmark.p
% 74.33/9.77 % Elapsed time: 9.408608 seconds
% 74.33/9.77 % CPU time: 73.799330 seconds
% 74.33/9.77 % Total memory used: 2.794 GB
% 74.33/9.77 % Net memory used: 2.769 GB
%------------------------------------------------------------------------------