TSTP Solution File: SEU170+2 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU170+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:36:07 EDT 2023
% Result : Theorem 37.44s 5.10s
% Output : CNFRefutation 37.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU170+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 : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:07:12 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.36 % Drodi V3.5.1
% 37.44/5.10 % Refutation found
% 37.44/5.10 % SZS status Theorem for theBenchmark: Theorem is valid
% 37.44/5.10 % SZS output start CNFRefutation for theBenchmark
% 37.44/5.10 fof(f1,axiom,(
% 37.44/5.10 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f3,axiom,(
% 37.44/5.10 (! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f4,axiom,(
% 37.44/5.10 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f5,axiom,(
% 37.44/5.10 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f6,axiom,(
% 37.44/5.10 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f8,axiom,(
% 37.44/5.10 (! [A] :( A = empty_set<=> (! [B] : ~ in(B,A) )) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f9,axiom,(
% 37.44/5.10 (! [A,B] :( B = powerset(A)<=> (! [C] :( in(C,B)<=> subset(C,A) ) )) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f10,axiom,(
% 37.44/5.10 (! [A,B] :( ( ~ empty(A)=> ( element(B,A)<=> in(B,A) ) )& ( empty(A)=> ( element(B,A)<=> empty(B) ) ) ) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f11,axiom,(
% 37.44/5.10 (! [A,B,C] :( C = unordered_pair(A,B)<=> (! [D] :( in(D,C)<=> ( D = A| D = B ) ) )) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f18,axiom,(
% 37.44/5.10 (! [A,B] :( element(B,powerset(A))=> subset_complement(A,B) = set_difference(A,B) ) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f19,axiom,(
% 37.44/5.10 (! [A,B] : ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A)) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f20,axiom,(
% 37.44/5.10 (! [A,B] :( disjoint(A,B)<=> set_intersection2(A,B) = empty_set ) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f28,axiom,(
% 37.44/5.10 (! [A,B] :( element(B,powerset(A))=> element(subset_complement(A,B),powerset(A)) ) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f34,axiom,(
% 37.44/5.10 (! [A] :(? [B] : element(B,A) ))),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f35,axiom,(
% 37.44/5.10 (! [A] : ~ empty(powerset(A)) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f36,axiom,(
% 37.44/5.10 empty(empty_set) ),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f40,axiom,(
% 37.44/5.10 (! [A,B] : set_union2(A,A) = A )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f41,axiom,(
% 37.44/5.10 (! [A,B] : set_intersection2(A,A) = A )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f42,axiom,(
% 37.44/5.10 (! [A,B] :( element(B,powerset(A))=> subset_complement(A,subset_complement(A,B)) = B ) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f44,lemma,(
% 37.44/5.10 (! [A] : singleton(A) != empty_set )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f46,lemma,(
% 37.44/5.10 (! [A,B] :~ ( disjoint(singleton(A),B)& in(A,B) ) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f47,lemma,(
% 37.44/5.10 (! [A,B] :( ~ in(A,B)=> disjoint(singleton(A),B) ) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f48,lemma,(
% 37.44/5.10 (! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f49,lemma,(
% 37.44/5.10 (! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f50,lemma,(
% 37.44/5.10 (! [A,B] :( element(B,powerset(A))=> (! [C] :( in(C,B)=> in(C,A) ) )) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f54,lemma,(
% 37.44/5.10 (! [A,B,C,D] :( in(ordered_pair(A,B),cartesian_product2(C,D))<=> ( in(A,C)& in(B,D) ) ) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f60,axiom,(
% 37.44/5.10 (! [A,B] :( disjoint(A,B)=> disjoint(B,A) ) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f67,lemma,(
% 37.44/5.10 (! [A,B] : subset(set_intersection2(A,B),A) )),
% 37.44/5.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.44/5.10 fof(f70,lemma,(
% 37.71/5.12 (! [A,B,C] :( ( subset(A,B)& subset(B,C) )=> subset(A,C) ) )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f71,lemma,(
% 37.71/5.12 powerset(empty_set) = singleton(empty_set) ),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f74,axiom,(
% 37.71/5.12 (! [A] : set_intersection2(A,empty_set) = empty_set )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f76,lemma,(
% 37.71/5.12 (! [A] : subset(empty_set,A) )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f77,lemma,(
% 37.71/5.12 (! [A,B,C] :( subset(A,B)=> subset(set_difference(A,C),set_difference(B,C)) ) )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f79,lemma,(
% 37.71/5.12 (! [A,B] : subset(set_difference(A,B),A) )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f83,lemma,(
% 37.71/5.12 (! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B) )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f85,axiom,(
% 37.71/5.12 (! [A] : set_difference(A,empty_set) = A )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f86,lemma,(
% 37.71/5.12 (! [A,B] :( ~ ( ~ disjoint(A,B)& (! [C] :~ ( in(C,A)& in(C,B) ) ))& ~ ( (? [C] :( in(C,A)& in(C,B) ))& disjoint(A,B) ) ) )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f87,lemma,(
% 37.71/5.12 (! [A] :( subset(A,empty_set)=> A = empty_set ) )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f88,lemma,(
% 37.71/5.12 (! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B) )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f89,conjecture,(
% 37.71/5.12 (! [A,B] :( element(B,powerset(A))=> (! [C] :( element(C,powerset(A))=> ( disjoint(B,C)<=> subset(B,subset_complement(A,C)) ) ) )) )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f90,negated_conjecture,(
% 37.71/5.12 ~((! [A,B] :( element(B,powerset(A))=> (! [C] :( element(C,powerset(A))=> ( disjoint(B,C)<=> subset(B,subset_complement(A,C)) ) ) )) ))),
% 37.71/5.12 inference(negated_conjecture,[status(cth)],[f89])).
% 37.71/5.12 fof(f93,lemma,(
% 37.71/5.12 (! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B) )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f94,axiom,(
% 37.71/5.12 (! [A] : set_difference(empty_set,A) = empty_set )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f95,lemma,(
% 37.71/5.12 (! [A,B] :( ~ ( ~ disjoint(A,B)& (! [C] : ~ in(C,set_intersection2(A,B)) ))& ~ ( (? [C] : in(C,set_intersection2(A,B)))& disjoint(A,B) ) ) )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f97,lemma,(
% 37.71/5.12 (! [A,B,C] :( ( subset(A,B)& disjoint(B,C) )=> disjoint(A,C) ) )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f98,lemma,(
% 37.71/5.12 (! [A,B] :( set_difference(A,singleton(B)) = A<=> ~ in(B,A) ) )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f102,axiom,(
% 37.71/5.12 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f103,lemma,(
% 37.71/5.12 (! [A,B] : subset(A,set_union2(A,B)) )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f104,lemma,(
% 37.71/5.12 (! [A,B] :( disjoint(A,B)<=> set_difference(A,B) = A ) )),
% 37.71/5.12 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 37.71/5.12 fof(f112,plain,(
% 37.71/5.12 ![A,B]: (~in(A,B)|~in(B,A))),
% 37.71/5.12 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 37.71/5.12 fof(f113,plain,(
% 37.71/5.12 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f112])).
% 37.71/5.12 fof(f116,plain,(
% 37.71/5.12 ![X0,X1]: (unordered_pair(X0,X1)=unordered_pair(X1,X0))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f3])).
% 37.71/5.12 fof(f117,plain,(
% 37.71/5.12 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f4])).
% 37.71/5.12 fof(f118,plain,(
% 37.71/5.12 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f5])).
% 37.71/5.12 fof(f119,plain,(
% 37.71/5.12 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 37.71/5.12 inference(NNF_transformation,[status(esa)],[f6])).
% 37.71/5.12 fof(f120,plain,(
% 37.71/5.12 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f119])).
% 37.71/5.12 fof(f121,plain,(
% 37.71/5.12 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f120])).
% 37.71/5.12 fof(f123,plain,(
% 37.71/5.12 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f120])).
% 37.71/5.12 fof(f131,plain,(
% 37.71/5.12 ![A]: ((~A=empty_set|(![B]: ~in(B,A)))&(A=empty_set|(?[B]: in(B,A))))),
% 37.71/5.12 inference(NNF_transformation,[status(esa)],[f8])).
% 37.71/5.12 fof(f132,plain,(
% 37.71/5.12 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|(?[B]: in(B,A))))),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f131])).
% 37.71/5.12 fof(f133,plain,(
% 37.71/5.12 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|in(sk0_1(A),A)))),
% 37.71/5.12 inference(skolemization,[status(esa)],[f132])).
% 37.71/5.12 fof(f134,plain,(
% 37.71/5.12 ![X0,X1]: (~X0=empty_set|~in(X1,X0))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f133])).
% 37.71/5.12 fof(f135,plain,(
% 37.71/5.12 ![X0]: (X0=empty_set|in(sk0_1(X0),X0))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f133])).
% 37.71/5.12 fof(f136,plain,(
% 37.71/5.12 ![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))))))),
% 37.71/5.12 inference(NNF_transformation,[status(esa)],[f9])).
% 37.71/5.12 fof(f137,plain,(
% 37.71/5.12 (![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))))))),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f136])).
% 37.71/5.12 fof(f138,plain,(
% 37.71/5.12 (![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)))))),
% 37.71/5.12 inference(skolemization,[status(esa)],[f137])).
% 37.71/5.12 fof(f139,plain,(
% 37.71/5.12 ![X0,X1,X2]: (~X0=powerset(X1)|~in(X2,X0)|subset(X2,X1))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f138])).
% 37.71/5.12 fof(f140,plain,(
% 37.71/5.12 ![X0,X1,X2]: (~X0=powerset(X1)|in(X2,X0)|~subset(X2,X1))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f138])).
% 37.71/5.12 fof(f143,plain,(
% 37.71/5.12 ![A,B]: ((empty(A)|(element(B,A)<=>in(B,A)))&(~empty(A)|(element(B,A)<=>empty(B))))),
% 37.71/5.12 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 37.71/5.12 fof(f144,plain,(
% 37.71/5.12 ![A,B]: ((empty(A)|((~element(B,A)|in(B,A))&(element(B,A)|~in(B,A))))&(~empty(A)|((~element(B,A)|empty(B))&(element(B,A)|~empty(B)))))),
% 37.71/5.12 inference(NNF_transformation,[status(esa)],[f143])).
% 37.71/5.12 fof(f145,plain,(
% 37.71/5.12 (![A]: (empty(A)|((![B]: (~element(B,A)|in(B,A)))&(![B]: (element(B,A)|~in(B,A))))))&(![A]: (~empty(A)|((![B]: (~element(B,A)|empty(B)))&(![B]: (element(B,A)|~empty(B))))))),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f144])).
% 37.71/5.12 fof(f146,plain,(
% 37.71/5.12 ![X0,X1]: (empty(X0)|~element(X1,X0)|in(X1,X0))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f145])).
% 37.71/5.12 fof(f147,plain,(
% 37.71/5.12 ![X0,X1]: (empty(X0)|element(X1,X0)|~in(X1,X0))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f145])).
% 37.71/5.12 fof(f148,plain,(
% 37.71/5.12 ![X0,X1]: (~empty(X0)|~element(X1,X0)|empty(X1))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f145])).
% 37.71/5.12 fof(f149,plain,(
% 37.71/5.12 ![X0,X1]: (~empty(X0)|element(X1,X0)|~empty(X1))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f145])).
% 37.71/5.12 fof(f150,plain,(
% 37.71/5.12 ![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))))))),
% 37.71/5.12 inference(NNF_transformation,[status(esa)],[f11])).
% 37.71/5.12 fof(f151,plain,(
% 37.71/5.12 (![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))))))),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f150])).
% 37.71/5.12 fof(f152,plain,(
% 37.71/5.12 (![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)))))),
% 37.71/5.12 inference(skolemization,[status(esa)],[f151])).
% 37.71/5.12 fof(f154,plain,(
% 37.71/5.12 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X1)),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f152])).
% 37.71/5.12 fof(f155,plain,(
% 37.71/5.12 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X2)),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f152])).
% 37.71/5.12 fof(f211,plain,(
% 37.71/5.12 ![A,B]: (~element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B))),
% 37.71/5.12 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 37.71/5.12 fof(f212,plain,(
% 37.71/5.12 ![X0,X1]: (~element(X0,powerset(X1))|subset_complement(X1,X0)=set_difference(X1,X0))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f211])).
% 37.71/5.12 fof(f213,plain,(
% 37.71/5.12 ![X0,X1]: (ordered_pair(X0,X1)=unordered_pair(unordered_pair(X0,X1),singleton(X0)))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f19])).
% 37.71/5.12 fof(f214,plain,(
% 37.71/5.12 ![A,B]: ((~disjoint(A,B)|set_intersection2(A,B)=empty_set)&(disjoint(A,B)|~set_intersection2(A,B)=empty_set))),
% 37.71/5.12 inference(NNF_transformation,[status(esa)],[f20])).
% 37.71/5.12 fof(f215,plain,(
% 37.71/5.12 (![A,B]: (~disjoint(A,B)|set_intersection2(A,B)=empty_set))&(![A,B]: (disjoint(A,B)|~set_intersection2(A,B)=empty_set))),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f214])).
% 37.71/5.12 fof(f216,plain,(
% 37.71/5.12 ![X0,X1]: (~disjoint(X0,X1)|set_intersection2(X0,X1)=empty_set)),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f215])).
% 37.71/5.12 fof(f217,plain,(
% 37.71/5.12 ![X0,X1]: (disjoint(X0,X1)|~set_intersection2(X0,X1)=empty_set)),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f215])).
% 37.71/5.12 fof(f223,plain,(
% 37.71/5.12 ![A,B]: (~element(B,powerset(A))|element(subset_complement(A,B),powerset(A)))),
% 37.71/5.12 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 37.71/5.12 fof(f224,plain,(
% 37.71/5.12 ![X0,X1]: (~element(X0,powerset(X1))|element(subset_complement(X1,X0),powerset(X1)))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f223])).
% 37.71/5.12 fof(f225,plain,(
% 37.71/5.12 ![A]: element(sk0_16(A),A)),
% 37.71/5.12 inference(skolemization,[status(esa)],[f34])).
% 37.71/5.12 fof(f226,plain,(
% 37.71/5.12 ![X0]: (element(sk0_16(X0),X0))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f225])).
% 37.71/5.12 fof(f227,plain,(
% 37.71/5.12 ![X0]: (~empty(powerset(X0)))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f35])).
% 37.71/5.12 fof(f228,plain,(
% 37.71/5.12 empty(empty_set)),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f36])).
% 37.71/5.12 fof(f236,plain,(
% 37.71/5.12 ![A]: set_union2(A,A)=A),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f40])).
% 37.71/5.12 fof(f237,plain,(
% 37.71/5.12 ![X0]: (set_union2(X0,X0)=X0)),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f236])).
% 37.71/5.12 fof(f238,plain,(
% 37.71/5.12 ![A]: set_intersection2(A,A)=A),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f41])).
% 37.71/5.12 fof(f239,plain,(
% 37.71/5.12 ![X0]: (set_intersection2(X0,X0)=X0)),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f238])).
% 37.71/5.12 fof(f240,plain,(
% 37.71/5.12 ![A,B]: (~element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B)),
% 37.71/5.12 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 37.71/5.12 fof(f241,plain,(
% 37.71/5.12 ![X0,X1]: (~element(X0,powerset(X1))|subset_complement(X1,subset_complement(X1,X0))=X0)),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f240])).
% 37.71/5.12 fof(f244,plain,(
% 37.71/5.12 ![X0]: (~singleton(X0)=empty_set)),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f44])).
% 37.71/5.12 fof(f247,plain,(
% 37.71/5.12 ![A,B]: (~disjoint(singleton(A),B)|~in(A,B))),
% 37.71/5.12 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 37.71/5.12 fof(f248,plain,(
% 37.71/5.12 ![X0,X1]: (~disjoint(singleton(X0),X1)|~in(X0,X1))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f247])).
% 37.71/5.12 fof(f249,plain,(
% 37.71/5.12 ![A,B]: (in(A,B)|disjoint(singleton(A),B))),
% 37.71/5.12 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 37.71/5.12 fof(f250,plain,(
% 37.71/5.12 ![X0,X1]: (in(X0,X1)|disjoint(singleton(X0),X1))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f249])).
% 37.71/5.12 fof(f251,plain,(
% 37.71/5.12 ![A,B]: ((~subset(singleton(A),B)|in(A,B))&(subset(singleton(A),B)|~in(A,B)))),
% 37.71/5.12 inference(NNF_transformation,[status(esa)],[f48])).
% 37.71/5.12 fof(f252,plain,(
% 37.71/5.12 (![A,B]: (~subset(singleton(A),B)|in(A,B)))&(![A,B]: (subset(singleton(A),B)|~in(A,B)))),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f251])).
% 37.71/5.12 fof(f254,plain,(
% 37.71/5.12 ![X0,X1]: (subset(singleton(X0),X1)|~in(X0,X1))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f252])).
% 37.71/5.12 fof(f255,plain,(
% 37.71/5.12 ![A,B]: ((~set_difference(A,B)=empty_set|subset(A,B))&(set_difference(A,B)=empty_set|~subset(A,B)))),
% 37.71/5.12 inference(NNF_transformation,[status(esa)],[f49])).
% 37.71/5.12 fof(f256,plain,(
% 37.71/5.12 (![A,B]: (~set_difference(A,B)=empty_set|subset(A,B)))&(![A,B]: (set_difference(A,B)=empty_set|~subset(A,B)))),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f255])).
% 37.71/5.12 fof(f257,plain,(
% 37.71/5.12 ![X0,X1]: (~set_difference(X0,X1)=empty_set|subset(X0,X1))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f256])).
% 37.71/5.12 fof(f258,plain,(
% 37.71/5.12 ![X0,X1]: (set_difference(X0,X1)=empty_set|~subset(X0,X1))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f256])).
% 37.71/5.12 fof(f259,plain,(
% 37.71/5.12 ![A,B]: (~element(B,powerset(A))|(![C]: (~in(C,B)|in(C,A))))),
% 37.71/5.12 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 37.71/5.12 fof(f260,plain,(
% 37.71/5.12 ![X0,X1,X2]: (~element(X0,powerset(X1))|~in(X2,X0)|in(X2,X1))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f259])).
% 37.71/5.12 fof(f271,plain,(
% 37.71/5.12 ![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))))),
% 37.71/5.12 inference(NNF_transformation,[status(esa)],[f54])).
% 37.71/5.12 fof(f272,plain,(
% 37.71/5.12 (![A,B,C,D]: (~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D))))&(![A,B,C,D]: (in(ordered_pair(A,B),cartesian_product2(C,D))|(~in(A,C)|~in(B,D))))),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f271])).
% 37.71/5.12 fof(f274,plain,(
% 37.71/5.12 ![X0,X1,X2,X3]: (~in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|in(X1,X3))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f272])).
% 37.71/5.12 fof(f275,plain,(
% 37.71/5.12 ![X0,X1,X2,X3]: (in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|~in(X0,X2)|~in(X1,X3))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f272])).
% 37.71/5.12 fof(f289,plain,(
% 37.71/5.12 ![A,B]: (~disjoint(A,B)|disjoint(B,A))),
% 37.71/5.12 inference(pre_NNF_transformation,[status(esa)],[f60])).
% 37.71/5.12 fof(f290,plain,(
% 37.71/5.12 ![X0,X1]: (~disjoint(X0,X1)|disjoint(X1,X0))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f289])).
% 37.71/5.12 fof(f314,plain,(
% 37.71/5.12 ![X0,X1]: (subset(set_intersection2(X0,X1),X0))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f67])).
% 37.71/5.12 fof(f318,plain,(
% 37.71/5.12 ![A,B,C]: ((~subset(A,B)|~subset(B,C))|subset(A,C))),
% 37.71/5.12 inference(pre_NNF_transformation,[status(esa)],[f70])).
% 37.71/5.12 fof(f319,plain,(
% 37.71/5.12 ![A,C]: ((![B]: (~subset(A,B)|~subset(B,C)))|subset(A,C))),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f318])).
% 37.71/5.12 fof(f320,plain,(
% 37.71/5.12 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X1,X2)|subset(X0,X2))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f319])).
% 37.71/5.12 fof(f321,plain,(
% 37.71/5.12 powerset(empty_set)=singleton(empty_set)),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f71])).
% 37.71/5.12 fof(f327,plain,(
% 37.71/5.12 ![X0]: (set_intersection2(X0,empty_set)=empty_set)),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f74])).
% 37.71/5.12 fof(f333,plain,(
% 37.71/5.12 ![X0]: (subset(empty_set,X0))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f76])).
% 37.71/5.12 fof(f334,plain,(
% 37.71/5.12 ![A,B,C]: (~subset(A,B)|subset(set_difference(A,C),set_difference(B,C)))),
% 37.71/5.12 inference(pre_NNF_transformation,[status(esa)],[f77])).
% 37.71/5.12 fof(f335,plain,(
% 37.71/5.12 ![A,B]: (~subset(A,B)|(![C]: subset(set_difference(A,C),set_difference(B,C))))),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f334])).
% 37.71/5.12 fof(f336,plain,(
% 37.71/5.12 ![X0,X1,X2]: (~subset(X0,X1)|subset(set_difference(X0,X2),set_difference(X1,X2)))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f335])).
% 37.71/5.12 fof(f340,plain,(
% 37.71/5.12 ![X0,X1]: (subset(set_difference(X0,X1),X0))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f79])).
% 37.71/5.12 fof(f354,plain,(
% 37.71/5.12 ![X0,X1]: (set_union2(X0,set_difference(X1,X0))=set_union2(X0,X1))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f83])).
% 37.71/5.12 fof(f360,plain,(
% 37.71/5.12 ![X0]: (set_difference(X0,empty_set)=X0)),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f85])).
% 37.71/5.12 fof(f361,plain,(
% 37.71/5.12 ![A,B]: ((disjoint(A,B)|(?[C]: (in(C,A)&in(C,B))))&((![C]: (~in(C,A)|~in(C,B)))|~disjoint(A,B)))),
% 37.71/5.12 inference(pre_NNF_transformation,[status(esa)],[f86])).
% 37.71/5.12 fof(f362,plain,(
% 37.71/5.12 (![A,B]: (disjoint(A,B)|(?[C]: (in(C,A)&in(C,B)))))&(![A,B]: ((![C]: (~in(C,A)|~in(C,B)))|~disjoint(A,B)))),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f361])).
% 37.71/5.12 fof(f363,plain,(
% 37.71/5.12 (![A,B]: (disjoint(A,B)|(in(sk0_23(B,A),A)&in(sk0_23(B,A),B))))&(![A,B]: ((![C]: (~in(C,A)|~in(C,B)))|~disjoint(A,B)))),
% 37.71/5.12 inference(skolemization,[status(esa)],[f362])).
% 37.71/5.12 fof(f364,plain,(
% 37.71/5.12 ![X0,X1]: (disjoint(X0,X1)|in(sk0_23(X1,X0),X0))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f363])).
% 37.71/5.12 fof(f367,plain,(
% 37.71/5.12 ![A]: (~subset(A,empty_set)|A=empty_set)),
% 37.71/5.12 inference(pre_NNF_transformation,[status(esa)],[f87])).
% 37.71/5.12 fof(f368,plain,(
% 37.71/5.12 ![X0]: (~subset(X0,empty_set)|X0=empty_set)),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f367])).
% 37.71/5.12 fof(f369,plain,(
% 37.71/5.12 ![X0,X1]: (set_difference(set_union2(X0,X1),X1)=set_difference(X0,X1))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f88])).
% 37.71/5.12 fof(f370,plain,(
% 37.71/5.12 (?[A,B]: (element(B,powerset(A))&(?[C]: (element(C,powerset(A))&(disjoint(B,C)<~>subset(B,subset_complement(A,C)))))))),
% 37.71/5.12 inference(pre_NNF_transformation,[status(esa)],[f90])).
% 37.71/5.12 fof(f371,plain,(
% 37.71/5.12 ?[A,B]: (element(B,powerset(A))&(?[C]: (element(C,powerset(A))&((disjoint(B,C)|subset(B,subset_complement(A,C)))&(~disjoint(B,C)|~subset(B,subset_complement(A,C)))))))),
% 37.71/5.12 inference(NNF_transformation,[status(esa)],[f370])).
% 37.71/5.12 fof(f372,plain,(
% 37.71/5.12 (element(sk0_25,powerset(sk0_24))&(element(sk0_26,powerset(sk0_24))&((disjoint(sk0_25,sk0_26)|subset(sk0_25,subset_complement(sk0_24,sk0_26)))&(~disjoint(sk0_25,sk0_26)|~subset(sk0_25,subset_complement(sk0_24,sk0_26))))))),
% 37.71/5.12 inference(skolemization,[status(esa)],[f371])).
% 37.71/5.12 fof(f373,plain,(
% 37.71/5.12 element(sk0_25,powerset(sk0_24))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f372])).
% 37.71/5.12 fof(f374,plain,(
% 37.71/5.12 element(sk0_26,powerset(sk0_24))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f372])).
% 37.71/5.12 fof(f375,plain,(
% 37.71/5.12 disjoint(sk0_25,sk0_26)|subset(sk0_25,subset_complement(sk0_24,sk0_26))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f372])).
% 37.71/5.12 fof(f376,plain,(
% 37.71/5.12 ~disjoint(sk0_25,sk0_26)|~subset(sk0_25,subset_complement(sk0_24,sk0_26))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f372])).
% 37.71/5.12 fof(f381,plain,(
% 37.71/5.12 ![X0,X1]: (set_difference(X0,set_difference(X0,X1))=set_intersection2(X0,X1))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f93])).
% 37.71/5.12 fof(f382,plain,(
% 37.71/5.12 ![X0]: (set_difference(empty_set,X0)=empty_set)),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f94])).
% 37.71/5.12 fof(f383,plain,(
% 37.71/5.12 ![A,B]: ((disjoint(A,B)|(?[C]: in(C,set_intersection2(A,B))))&((![C]: ~in(C,set_intersection2(A,B)))|~disjoint(A,B)))),
% 37.71/5.12 inference(pre_NNF_transformation,[status(esa)],[f95])).
% 37.71/5.12 fof(f384,plain,(
% 37.71/5.12 (![A,B]: (disjoint(A,B)|(?[C]: in(C,set_intersection2(A,B)))))&(![A,B]: ((![C]: ~in(C,set_intersection2(A,B)))|~disjoint(A,B)))),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f383])).
% 37.71/5.12 fof(f385,plain,(
% 37.71/5.12 (![A,B]: (disjoint(A,B)|in(sk0_27(B,A),set_intersection2(A,B))))&(![A,B]: ((![C]: ~in(C,set_intersection2(A,B)))|~disjoint(A,B)))),
% 37.71/5.12 inference(skolemization,[status(esa)],[f384])).
% 37.71/5.12 fof(f387,plain,(
% 37.71/5.12 ![X0,X1,X2]: (~in(X0,set_intersection2(X1,X2))|~disjoint(X1,X2))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f385])).
% 37.71/5.12 fof(f390,plain,(
% 37.71/5.12 ![A,B,C]: ((~subset(A,B)|~disjoint(B,C))|disjoint(A,C))),
% 37.71/5.12 inference(pre_NNF_transformation,[status(esa)],[f97])).
% 37.71/5.12 fof(f391,plain,(
% 37.71/5.12 ![A,C]: ((![B]: (~subset(A,B)|~disjoint(B,C)))|disjoint(A,C))),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f390])).
% 37.71/5.12 fof(f392,plain,(
% 37.71/5.12 ![X0,X1,X2]: (~subset(X0,X1)|~disjoint(X1,X2)|disjoint(X0,X2))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f391])).
% 37.71/5.12 fof(f393,plain,(
% 37.71/5.12 ![A,B]: ((~set_difference(A,singleton(B))=A|~in(B,A))&(set_difference(A,singleton(B))=A|in(B,A)))),
% 37.71/5.12 inference(NNF_transformation,[status(esa)],[f98])).
% 37.71/5.12 fof(f394,plain,(
% 37.71/5.12 (![A,B]: (~set_difference(A,singleton(B))=A|~in(B,A)))&(![A,B]: (set_difference(A,singleton(B))=A|in(B,A)))),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f393])).
% 37.71/5.12 fof(f396,plain,(
% 37.71/5.12 ![X0,X1]: (set_difference(X0,singleton(X1))=X0|in(X1,X0))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f394])).
% 37.71/5.12 fof(f402,plain,(
% 37.71/5.12 ![A,B]: (~in(A,B)|~empty(B))),
% 37.71/5.12 inference(pre_NNF_transformation,[status(esa)],[f102])).
% 37.71/5.12 fof(f403,plain,(
% 37.71/5.12 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f402])).
% 37.71/5.12 fof(f404,plain,(
% 37.71/5.12 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f403])).
% 37.71/5.12 fof(f405,plain,(
% 37.71/5.12 ![X0,X1]: (subset(X0,set_union2(X0,X1)))),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f103])).
% 37.71/5.12 fof(f406,plain,(
% 37.71/5.12 ![A,B]: ((~disjoint(A,B)|set_difference(A,B)=A)&(disjoint(A,B)|~set_difference(A,B)=A))),
% 37.71/5.12 inference(NNF_transformation,[status(esa)],[f104])).
% 37.71/5.12 fof(f407,plain,(
% 37.71/5.12 (![A,B]: (~disjoint(A,B)|set_difference(A,B)=A))&(![A,B]: (disjoint(A,B)|~set_difference(A,B)=A))),
% 37.71/5.12 inference(miniscoping,[status(esa)],[f406])).
% 37.71/5.12 fof(f408,plain,(
% 37.71/5.12 ![X0,X1]: (~disjoint(X0,X1)|set_difference(X0,X1)=X0)),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f407])).
% 37.71/5.12 fof(f409,plain,(
% 37.71/5.12 ![X0,X1]: (disjoint(X0,X1)|~set_difference(X0,X1)=X0)),
% 37.71/5.12 inference(cnf_transformation,[status(esa)],[f407])).
% 37.71/5.12 fof(f438,plain,(
% 37.71/5.12 spl0_0 <=> disjoint(sk0_25,sk0_26)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f439,plain,(
% 37.71/5.12 disjoint(sk0_25,sk0_26)|~spl0_0),
% 37.71/5.12 inference(component_clause,[status(thm)],[f438])).
% 37.71/5.12 fof(f440,plain,(
% 37.71/5.12 ~disjoint(sk0_25,sk0_26)|spl0_0),
% 37.71/5.12 inference(component_clause,[status(thm)],[f438])).
% 37.71/5.12 fof(f441,plain,(
% 37.71/5.12 spl0_1 <=> subset(sk0_25,subset_complement(sk0_24,sk0_26))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f442,plain,(
% 37.71/5.12 subset(sk0_25,subset_complement(sk0_24,sk0_26))|~spl0_1),
% 37.71/5.12 inference(component_clause,[status(thm)],[f441])).
% 37.71/5.12 fof(f443,plain,(
% 37.71/5.12 ~subset(sk0_25,subset_complement(sk0_24,sk0_26))|spl0_1),
% 37.71/5.12 inference(component_clause,[status(thm)],[f441])).
% 37.71/5.12 fof(f444,plain,(
% 37.71/5.12 spl0_0|spl0_1),
% 37.71/5.12 inference(split_clause,[status(thm)],[f375,f438,f441])).
% 37.71/5.12 fof(f445,plain,(
% 37.71/5.12 ~spl0_0|~spl0_1),
% 37.71/5.12 inference(split_clause,[status(thm)],[f376,f438,f441])).
% 37.71/5.12 fof(f446,plain,(
% 37.71/5.12 ![X0]: (subset(X0,X0))),
% 37.71/5.12 inference(destructive_equality_resolution,[status(esa)],[f121])).
% 37.71/5.12 fof(f450,plain,(
% 37.71/5.12 ![X0]: (~in(X0,empty_set))),
% 37.71/5.12 inference(destructive_equality_resolution,[status(esa)],[f134])).
% 37.71/5.12 fof(f451,plain,(
% 37.71/5.12 ![X0,X1]: (~in(X0,powerset(X1))|subset(X0,X1))),
% 37.71/5.12 inference(destructive_equality_resolution,[status(esa)],[f139])).
% 37.71/5.12 fof(f452,plain,(
% 37.71/5.12 ![X0,X1]: (in(X0,powerset(X1))|~subset(X0,X1))),
% 37.71/5.12 inference(destructive_equality_resolution,[status(esa)],[f140])).
% 37.71/5.12 fof(f454,plain,(
% 37.71/5.12 ![X0,X1]: (in(X0,unordered_pair(X0,X1)))),
% 37.71/5.12 inference(destructive_equality_resolution,[status(esa)],[f154])).
% 37.71/5.12 fof(f455,plain,(
% 37.71/5.12 ![X0,X1]: (in(X0,unordered_pair(X1,X0)))),
% 37.71/5.12 inference(destructive_equality_resolution,[status(esa)],[f155])).
% 37.71/5.12 fof(f477,plain,(
% 37.71/5.12 ![X0,X1]: (element(X0,X1)|~in(X0,X1))),
% 37.71/5.12 inference(backward_subsumption_resolution,[status(thm)],[f147,f404])).
% 37.71/5.12 fof(f481,plain,(
% 37.71/5.12 spl0_3 <=> subset(subset_complement(sk0_24,sk0_26),sk0_25)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f483,plain,(
% 37.71/5.12 ~subset(subset_complement(sk0_24,sk0_26),sk0_25)|spl0_3),
% 37.71/5.12 inference(component_clause,[status(thm)],[f481])).
% 37.71/5.12 fof(f488,plain,(
% 37.71/5.12 ![X0,X1]: (~set_difference(X0,X1)=X0|disjoint(X1,X0))),
% 37.71/5.12 inference(resolution,[status(thm)],[f409,f290])).
% 37.71/5.12 fof(f490,plain,(
% 37.71/5.12 ![X0,X1]: (~set_difference(X0,X1)=X0|set_difference(X1,X0)=X1)),
% 37.71/5.12 inference(resolution,[status(thm)],[f488,f408])).
% 37.71/5.12 fof(f492,plain,(
% 37.71/5.12 ![X0]: (~in(X0,singleton(empty_set))|subset(X0,empty_set))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f321,f451])).
% 37.71/5.12 fof(f495,plain,(
% 37.71/5.12 ![X0,X1]: (~set_intersection2(X0,X1)=empty_set|set_difference(X0,X1)=X0)),
% 37.71/5.12 inference(resolution,[status(thm)],[f217,f408])).
% 37.71/5.12 fof(f498,plain,(
% 37.71/5.12 ![X0,X1]: (~disjoint(singleton(X0),powerset(X1))|~subset(X0,X1))),
% 37.71/5.12 inference(resolution,[status(thm)],[f248,f452])).
% 37.71/5.12 fof(f507,plain,(
% 37.71/5.12 ![X0,X1]: (empty(powerset(X0))|~element(X1,powerset(X0))|subset(X1,X0))),
% 37.71/5.12 inference(resolution,[status(thm)],[f146,f451])).
% 37.71/5.12 fof(f508,plain,(
% 37.71/5.12 ![X0,X1]: (~element(X0,powerset(X1))|subset(X0,X1))),
% 37.71/5.12 inference(forward_subsumption_resolution,[status(thm)],[f507,f227])).
% 37.71/5.12 fof(f510,plain,(
% 37.71/5.12 ~element(subset_complement(sk0_24,sk0_26),powerset(sk0_25))|spl0_3),
% 37.71/5.12 inference(resolution,[status(thm)],[f508,f483])).
% 37.71/5.12 fof(f512,plain,(
% 37.71/5.12 ~in(subset_complement(sk0_24,sk0_26),powerset(sk0_25))|spl0_3),
% 37.71/5.12 inference(resolution,[status(thm)],[f510,f477])).
% 37.71/5.12 fof(f514,plain,(
% 37.71/5.12 spl0_4 <=> empty(powerset(sk0_25))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f515,plain,(
% 37.71/5.12 empty(powerset(sk0_25))|~spl0_4),
% 37.71/5.12 inference(component_clause,[status(thm)],[f514])).
% 37.71/5.12 fof(f517,plain,(
% 37.71/5.12 spl0_5 <=> element(subset_complement(sk0_24,sk0_26),powerset(sk0_25))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f519,plain,(
% 37.71/5.12 ~element(subset_complement(sk0_24,sk0_26),powerset(sk0_25))|spl0_5),
% 37.71/5.12 inference(component_clause,[status(thm)],[f517])).
% 37.71/5.12 fof(f520,plain,(
% 37.71/5.12 empty(powerset(sk0_25))|~element(subset_complement(sk0_24,sk0_26),powerset(sk0_25))|spl0_3),
% 37.71/5.12 inference(resolution,[status(thm)],[f512,f146])).
% 37.71/5.12 fof(f521,plain,(
% 37.71/5.12 spl0_4|~spl0_5|spl0_3),
% 37.71/5.12 inference(split_clause,[status(thm)],[f520,f514,f517,f481])).
% 37.71/5.12 fof(f528,plain,(
% 37.71/5.12 $false|~spl0_4),
% 37.71/5.12 inference(forward_subsumption_resolution,[status(thm)],[f515,f227])).
% 37.71/5.12 fof(f529,plain,(
% 37.71/5.12 ~spl0_4),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f528])).
% 37.71/5.12 fof(f531,plain,(
% 37.71/5.12 set_difference(sk0_25,sk0_26)=sk0_25|~spl0_0),
% 37.71/5.12 inference(resolution,[status(thm)],[f439,f408])).
% 37.71/5.12 fof(f536,plain,(
% 37.71/5.12 spl0_6 <=> sk0_25=sk0_25),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f538,plain,(
% 37.71/5.12 ~sk0_25=sk0_25|spl0_6),
% 37.71/5.12 inference(component_clause,[status(thm)],[f536])).
% 37.71/5.12 fof(f544,plain,(
% 37.71/5.12 $false|spl0_6),
% 37.71/5.12 inference(trivial_equality_resolution,[status(esa)],[f538])).
% 37.71/5.12 fof(f545,plain,(
% 37.71/5.12 spl0_6),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f544])).
% 37.71/5.12 fof(f547,plain,(
% 37.71/5.12 spl0_8 <=> sk0_26=sk0_26),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f549,plain,(
% 37.71/5.12 ~sk0_26=sk0_26|spl0_8),
% 37.71/5.12 inference(component_clause,[status(thm)],[f547])).
% 37.71/5.12 fof(f555,plain,(
% 37.71/5.12 $false|spl0_8),
% 37.71/5.12 inference(trivial_equality_resolution,[status(esa)],[f549])).
% 37.71/5.12 fof(f556,plain,(
% 37.71/5.12 spl0_8),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f555])).
% 37.71/5.12 fof(f558,plain,(
% 37.71/5.12 ~in(subset_complement(sk0_24,sk0_26),powerset(sk0_25))|spl0_5),
% 37.71/5.12 inference(resolution,[status(thm)],[f519,f477])).
% 37.71/5.12 fof(f560,plain,(
% 37.71/5.12 spl0_10 <=> empty(powerset(subset_complement(sk0_24,sk0_26)))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f561,plain,(
% 37.71/5.12 empty(powerset(subset_complement(sk0_24,sk0_26)))|~spl0_10),
% 37.71/5.12 inference(component_clause,[status(thm)],[f560])).
% 37.71/5.12 fof(f578,plain,(
% 37.71/5.12 ![X0,X1,X2]: (~disjoint(X0,X1)|empty(set_intersection2(X0,X1))|~element(X2,set_intersection2(X0,X1)))),
% 37.71/5.12 inference(resolution,[status(thm)],[f387,f146])).
% 37.71/5.12 fof(f582,plain,(
% 37.71/5.12 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X1,X2)|X2=X0|~subset(X2,X0))),
% 37.71/5.12 inference(resolution,[status(thm)],[f320,f123])).
% 37.71/5.12 fof(f587,plain,(
% 37.71/5.12 spl0_12 <=> subset(empty_set,sk0_25)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f589,plain,(
% 37.71/5.12 ~subset(empty_set,sk0_25)|spl0_12),
% 37.71/5.12 inference(component_clause,[status(thm)],[f587])).
% 37.71/5.12 fof(f598,plain,(
% 37.71/5.12 subset_complement(sk0_24,sk0_26)=set_difference(sk0_24,sk0_26)),
% 37.71/5.12 inference(resolution,[status(thm)],[f212,f374])).
% 37.71/5.12 fof(f601,plain,(
% 37.71/5.12 subset_complement(sk0_24,sk0_25)=set_difference(sk0_24,sk0_25)),
% 37.71/5.12 inference(resolution,[status(thm)],[f212,f373])).
% 37.71/5.12 fof(f602,plain,(
% 37.71/5.12 ![X0,X1]: (subset_complement(X0,X1)=set_difference(X0,X1)|~in(X1,powerset(X0)))),
% 37.71/5.12 inference(resolution,[status(thm)],[f212,f477])).
% 37.71/5.12 fof(f605,plain,(
% 37.71/5.12 spl0_14 <=> sk0_25=sk0_24),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f606,plain,(
% 37.71/5.12 sk0_25=sk0_24|~spl0_14),
% 37.71/5.12 inference(component_clause,[status(thm)],[f605])).
% 37.71/5.12 fof(f615,plain,(
% 37.71/5.12 ![X0]: (~subset(sk0_25,X0)|~disjoint(X0,sk0_26)|spl0_0)),
% 37.71/5.12 inference(resolution,[status(thm)],[f392,f440])).
% 37.71/5.12 fof(f616,plain,(
% 37.71/5.12 ![X0,X1,X2]: (~subset(X0,X1)|~disjoint(X1,X2)|set_difference(X0,X2)=X0)),
% 37.71/5.12 inference(resolution,[status(thm)],[f392,f408])).
% 37.71/5.12 fof(f644,plain,(
% 37.71/5.12 ![X0,X1,X2]: (~disjoint(X0,X1)|set_difference(X2,X1)=X2|~element(X2,powerset(X0)))),
% 37.71/5.12 inference(resolution,[status(thm)],[f616,f508])).
% 37.71/5.12 fof(f657,plain,(
% 37.71/5.12 ![X0,X1,X2]: (~element(X0,powerset(X1))|in(X2,X1)|empty(X0)|~element(X2,X0))),
% 37.71/5.12 inference(resolution,[status(thm)],[f260,f146])).
% 37.71/5.12 fof(f676,plain,(
% 37.71/5.12 ![X0]: (~disjoint(sk0_24,X0)|set_difference(sk0_26,X0)=sk0_26)),
% 37.71/5.12 inference(resolution,[status(thm)],[f644,f374])).
% 37.71/5.12 fof(f678,plain,(
% 37.71/5.12 ![X0]: (~disjoint(sk0_24,X0)|set_difference(sk0_25,X0)=sk0_25)),
% 37.71/5.12 inference(resolution,[status(thm)],[f644,f373])).
% 37.71/5.12 fof(f685,plain,(
% 37.71/5.12 ![X0]: (set_difference(sk0_26,X0)=sk0_26|~set_intersection2(sk0_24,X0)=empty_set)),
% 37.71/5.12 inference(resolution,[status(thm)],[f676,f217])).
% 37.71/5.12 fof(f686,plain,(
% 37.71/5.12 ![X0]: (set_difference(sk0_26,X0)=sk0_26|~set_difference(X0,sk0_24)=X0)),
% 37.71/5.12 inference(resolution,[status(thm)],[f676,f488])).
% 37.71/5.12 fof(f692,plain,(
% 37.71/5.12 ![X0]: (set_difference(sk0_25,X0)=sk0_25|~set_intersection2(sk0_24,X0)=empty_set)),
% 37.71/5.12 inference(resolution,[status(thm)],[f678,f217])).
% 37.71/5.12 fof(f693,plain,(
% 37.71/5.12 ![X0]: (set_difference(sk0_25,X0)=sk0_25|~set_difference(X0,sk0_24)=X0)),
% 37.71/5.12 inference(resolution,[status(thm)],[f678,f488])).
% 37.71/5.12 fof(f696,plain,(
% 37.71/5.12 ![X0]: (~set_difference(X0,sk0_24)=X0|set_difference(X0,sk0_26)=X0)),
% 37.71/5.12 inference(resolution,[status(thm)],[f686,f490])).
% 37.71/5.12 fof(f743,plain,(
% 37.71/5.12 element(subset_complement(sk0_24,sk0_26),powerset(sk0_24))),
% 37.71/5.12 inference(resolution,[status(thm)],[f224,f374])).
% 37.71/5.12 fof(f747,plain,(
% 37.71/5.12 element(subset_complement(sk0_24,sk0_25),powerset(sk0_24))),
% 37.71/5.12 inference(resolution,[status(thm)],[f224,f373])).
% 37.71/5.12 fof(f748,plain,(
% 37.71/5.12 element(set_difference(sk0_24,sk0_25),powerset(sk0_24))),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f601,f747])).
% 37.71/5.12 fof(f749,plain,(
% 37.71/5.12 ![X0,X1]: (element(subset_complement(X0,X1),powerset(X0))|~in(X1,powerset(X0)))),
% 37.71/5.12 inference(resolution,[status(thm)],[f224,f477])).
% 37.71/5.12 fof(f752,plain,(
% 37.71/5.12 subset_complement(sk0_24,subset_complement(sk0_24,sk0_26))=sk0_26),
% 37.71/5.12 inference(resolution,[status(thm)],[f241,f374])).
% 37.71/5.12 fof(f757,plain,(
% 37.71/5.12 subset_complement(sk0_24,subset_complement(sk0_24,sk0_25))=sk0_25),
% 37.71/5.12 inference(resolution,[status(thm)],[f241,f373])).
% 37.71/5.12 fof(f758,plain,(
% 37.71/5.12 subset_complement(sk0_24,set_difference(sk0_24,sk0_25))=sk0_25),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f601,f757])).
% 37.71/5.12 fof(f760,plain,(
% 37.71/5.12 ![X0,X1]: (subset_complement(X0,subset_complement(X0,X1))=X1|~in(X1,powerset(X0)))),
% 37.71/5.12 inference(resolution,[status(thm)],[f241,f477])).
% 37.71/5.12 fof(f783,plain,(
% 37.71/5.12 ![X0]: (~empty(X0)|element(empty_set,X0))),
% 37.71/5.12 inference(resolution,[status(thm)],[f228,f149])).
% 37.71/5.12 fof(f784,plain,(
% 37.71/5.12 ![X0]: (~element(X0,empty_set)|empty(X0))),
% 37.71/5.12 inference(resolution,[status(thm)],[f228,f148])).
% 37.71/5.12 fof(f787,plain,(
% 37.71/5.12 spl0_21 <=> empty(empty_set)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f810,plain,(
% 37.71/5.12 ![X0,X1]: (~disjoint(X0,X0)|empty(set_intersection2(X0,X0))|~element(X1,X0))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f239,f578])).
% 37.71/5.12 fof(f811,plain,(
% 37.71/5.12 ![X0,X1]: (~disjoint(X0,X0)|empty(X0)|~element(X1,X0))),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f239,f810])).
% 37.71/5.12 fof(f815,plain,(
% 37.71/5.12 ![X0]: (~disjoint(X0,X0)|X0=empty_set)),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f239,f216])).
% 37.71/5.12 fof(f818,plain,(
% 37.71/5.12 spl0_25 <=> subset(empty_set,empty_set)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f820,plain,(
% 37.71/5.12 ~subset(empty_set,empty_set)|spl0_25),
% 37.71/5.12 inference(component_clause,[status(thm)],[f818])).
% 37.71/5.12 fof(f821,plain,(
% 37.71/5.12 spl0_26 <=> empty_set=empty_set),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f824,plain,(
% 37.71/5.12 ~subset(empty_set,empty_set)|empty_set=empty_set),
% 37.71/5.12 inference(resolution,[status(thm)],[f333,f582])).
% 37.71/5.12 fof(f825,plain,(
% 37.71/5.12 ~spl0_25|spl0_26),
% 37.71/5.12 inference(split_clause,[status(thm)],[f824,f818,f821])).
% 37.71/5.12 fof(f829,plain,(
% 37.71/5.12 ![X0,X1]: (~subset(X0,empty_set)|X1=X0|~subset(X1,X0))),
% 37.71/5.12 inference(resolution,[status(thm)],[f333,f582])).
% 37.71/5.12 fof(f835,plain,(
% 37.71/5.12 $false|spl0_25),
% 37.71/5.12 inference(forward_subsumption_resolution,[status(thm)],[f820,f333])).
% 37.71/5.12 fof(f836,plain,(
% 37.71/5.12 spl0_25),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f835])).
% 37.71/5.12 fof(f860,plain,(
% 37.71/5.12 spl0_27 <=> set_difference(sk0_25,empty_set)=sk0_25),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f863,plain,(
% 37.71/5.12 spl0_28 <=> sk0_24=sk0_24),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f865,plain,(
% 37.71/5.12 ~sk0_24=sk0_24|spl0_28),
% 37.71/5.12 inference(component_clause,[status(thm)],[f863])).
% 37.71/5.12 fof(f868,plain,(
% 37.71/5.12 spl0_29 <=> set_difference(sk0_26,empty_set)=sk0_26),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f873,plain,(
% 37.71/5.12 spl0_30 <=> set_difference(empty_set,sk0_24)=empty_set),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f875,plain,(
% 37.71/5.12 ~set_difference(empty_set,sk0_24)=empty_set|spl0_30),
% 37.71/5.12 inference(component_clause,[status(thm)],[f873])).
% 37.71/5.12 fof(f881,plain,(
% 37.71/5.12 $false|spl0_28),
% 37.71/5.12 inference(trivial_equality_resolution,[status(esa)],[f865])).
% 37.71/5.12 fof(f882,plain,(
% 37.71/5.12 spl0_28),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f881])).
% 37.71/5.12 fof(f919,plain,(
% 37.71/5.12 set_difference(sk0_25,empty_set)=sk0_25|~empty_set=empty_set),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f327,f692])).
% 37.71/5.12 fof(f920,plain,(
% 37.71/5.12 spl0_27|~spl0_26),
% 37.71/5.12 inference(split_clause,[status(thm)],[f919,f860,f821])).
% 37.71/5.12 fof(f921,plain,(
% 37.71/5.12 set_difference(sk0_26,empty_set)=sk0_26|~empty_set=empty_set),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f327,f685])).
% 37.71/5.12 fof(f922,plain,(
% 37.71/5.12 spl0_29|~spl0_26),
% 37.71/5.12 inference(split_clause,[status(thm)],[f921,f868,f821])).
% 37.71/5.12 fof(f924,plain,(
% 37.71/5.12 spl0_31 <=> set_difference(X0,empty_set)=X0),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f927,plain,(
% 37.71/5.12 ![X0]: (~empty_set=empty_set|set_difference(X0,empty_set)=X0)),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f327,f495])).
% 37.71/5.12 fof(f928,plain,(
% 37.71/5.12 ~spl0_26|spl0_31),
% 37.71/5.12 inference(split_clause,[status(thm)],[f927,f821,f924])).
% 37.71/5.12 fof(f929,plain,(
% 37.71/5.12 spl0_32 <=> ~in(X0,empty_set)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f932,plain,(
% 37.71/5.12 spl0_33 <=> ~disjoint(X1,empty_set)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f933,plain,(
% 37.71/5.12 ![X0]: (~disjoint(X0,empty_set)|~spl0_33)),
% 37.71/5.12 inference(component_clause,[status(thm)],[f932])).
% 37.71/5.12 fof(f935,plain,(
% 37.71/5.12 ![X0,X1]: (~in(X0,empty_set)|~disjoint(X1,empty_set))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f327,f387])).
% 37.71/5.12 fof(f936,plain,(
% 37.71/5.12 spl0_32|spl0_33),
% 37.71/5.12 inference(split_clause,[status(thm)],[f935,f929,f932])).
% 37.71/5.12 fof(f939,plain,(
% 37.71/5.12 ![X0]: (in(X0,empty_set)|~spl0_33)),
% 37.71/5.12 inference(resolution,[status(thm)],[f933,f250])).
% 37.71/5.12 fof(f940,plain,(
% 37.71/5.12 $false|~spl0_33),
% 37.71/5.12 inference(forward_subsumption_resolution,[status(thm)],[f939,f450])).
% 37.71/5.12 fof(f941,plain,(
% 37.71/5.12 ~spl0_33),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f940])).
% 37.71/5.12 fof(f957,plain,(
% 37.71/5.12 spl0_34 <=> ~subset(sk0_24,X0)|~subset(X0,sk0_25)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f958,plain,(
% 37.71/5.12 ![X0]: (~subset(sk0_24,X0)|~subset(X0,sk0_25)|~spl0_34)),
% 37.71/5.12 inference(component_clause,[status(thm)],[f957])).
% 37.71/5.12 fof(f980,plain,(
% 37.71/5.12 $false|spl0_12),
% 37.71/5.12 inference(forward_subsumption_resolution,[status(thm)],[f589,f333])).
% 37.71/5.12 fof(f981,plain,(
% 37.71/5.12 spl0_12),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f980])).
% 37.71/5.12 fof(f982,plain,(
% 37.71/5.12 ~subset(subset_complement(sk0_24,sk0_26),sk0_25)|spl0_5),
% 37.71/5.12 inference(resolution,[status(thm)],[f558,f452])).
% 37.71/5.12 fof(f983,plain,(
% 37.71/5.12 subset(sk0_25,set_difference(sk0_24,sk0_26))|~spl0_1),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f598,f442])).
% 37.71/5.12 fof(f995,plain,(
% 37.71/5.12 element(set_difference(sk0_24,sk0_26),powerset(sk0_24))),
% 37.71/5.12 inference(backward_demodulation,[status(thm)],[f598,f743])).
% 37.71/5.12 fof(f996,plain,(
% 37.71/5.12 subset_complement(sk0_24,set_difference(sk0_24,sk0_26))=sk0_26),
% 37.71/5.12 inference(backward_demodulation,[status(thm)],[f598,f752])).
% 37.71/5.12 fof(f1016,plain,(
% 37.71/5.12 ![X0,X1]: (~disjoint(singleton(X0),powerset(set_union2(X0,X1))))),
% 37.71/5.12 inference(resolution,[status(thm)],[f405,f498])).
% 37.71/5.12 fof(f1022,plain,(
% 37.71/5.12 ![X0,X1]: (set_union2(X0,X1)=X0|~subset(set_union2(X0,X1),X0))),
% 37.71/5.12 inference(resolution,[status(thm)],[f405,f123])).
% 37.71/5.12 fof(f1029,plain,(
% 37.71/5.12 ![X0]: (X0=empty_set|~set_difference(X0,X0)=X0)),
% 37.71/5.12 inference(resolution,[status(thm)],[f815,f488])).
% 37.71/5.12 fof(f1031,plain,(
% 37.71/5.12 ![X0,X1]: (~in(unordered_pair(X0,X1),X1))),
% 37.71/5.12 inference(resolution,[status(thm)],[f113,f455])).
% 37.71/5.12 fof(f1037,plain,(
% 37.71/5.12 ![X0,X1]: (~in(X0,X1)|empty(X0)|~element(X1,X0))),
% 37.71/5.12 inference(resolution,[status(thm)],[f113,f146])).
% 37.71/5.12 fof(f1054,plain,(
% 37.71/5.12 ![X0,X1]: (subset(X0,set_union2(X1,X0)))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f117,f405])).
% 37.71/5.12 fof(f1075,plain,(
% 37.71/5.12 ![X0,X1]: (~disjoint(X0,X1)|set_intersection2(X1,X0)=empty_set)),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f118,f216])).
% 37.71/5.12 fof(f1141,plain,(
% 37.71/5.12 spl0_37 <=> set_difference(set_difference(empty_set,sk0_24),set_difference(empty_set,sk0_24))=set_difference(empty_set,sk0_24)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f1143,plain,(
% 37.71/5.12 ~set_difference(set_difference(empty_set,sk0_24),set_difference(empty_set,sk0_24))=set_difference(empty_set,sk0_24)|spl0_37),
% 37.71/5.12 inference(component_clause,[status(thm)],[f1141])).
% 37.71/5.12 fof(f1144,plain,(
% 37.71/5.12 spl0_38 <=> set_difference(empty_set,sk0_26)=empty_set),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f1147,plain,(
% 37.71/5.12 ~set_difference(set_difference(empty_set,sk0_24),set_difference(empty_set,sk0_24))=set_difference(empty_set,sk0_24)|set_difference(empty_set,sk0_26)=empty_set),
% 37.71/5.12 inference(resolution,[status(thm)],[f1029,f696])).
% 37.71/5.12 fof(f1148,plain,(
% 37.71/5.12 ~spl0_37|spl0_38),
% 37.71/5.12 inference(split_clause,[status(thm)],[f1147,f1141,f1144])).
% 37.71/5.12 fof(f1153,plain,(
% 37.71/5.12 ~set_difference(empty_set,set_difference(empty_set,sk0_24))=set_difference(empty_set,sk0_24)|spl0_37),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f382,f1143])).
% 37.71/5.12 fof(f1154,plain,(
% 37.71/5.12 ~empty_set=set_difference(empty_set,sk0_24)|spl0_37),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f382,f1153])).
% 37.71/5.12 fof(f1155,plain,(
% 37.71/5.12 ~empty_set=empty_set|spl0_37),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f382,f1154])).
% 37.71/5.12 fof(f1156,plain,(
% 37.71/5.12 $false|spl0_37),
% 37.71/5.12 inference(trivial_equality_resolution,[status(esa)],[f1155])).
% 37.71/5.12 fof(f1157,plain,(
% 37.71/5.12 spl0_37),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f1156])).
% 37.71/5.12 fof(f1207,plain,(
% 37.71/5.12 spl0_39 <=> singleton(empty_set)=empty_set),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f1208,plain,(
% 37.71/5.12 singleton(empty_set)=empty_set|~spl0_39),
% 37.71/5.12 inference(component_clause,[status(thm)],[f1207])).
% 37.71/5.12 fof(f1210,plain,(
% 37.71/5.12 spl0_40 <=> subset(sk0_1(singleton(empty_set)),empty_set)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f1213,plain,(
% 37.71/5.12 singleton(empty_set)=empty_set|subset(sk0_1(singleton(empty_set)),empty_set)),
% 37.71/5.12 inference(resolution,[status(thm)],[f135,f492])).
% 37.71/5.12 fof(f1214,plain,(
% 37.71/5.12 spl0_39|spl0_40),
% 37.71/5.12 inference(split_clause,[status(thm)],[f1213,f1207,f1210])).
% 37.71/5.12 fof(f1218,plain,(
% 37.71/5.12 ![X0]: (powerset(X0)=empty_set|subset(sk0_1(powerset(X0)),X0))),
% 37.71/5.12 inference(resolution,[status(thm)],[f135,f451])).
% 37.71/5.12 fof(f1227,plain,(
% 37.71/5.12 $false|~spl0_39),
% 37.71/5.12 inference(forward_subsumption_resolution,[status(thm)],[f1208,f244])).
% 37.71/5.12 fof(f1228,plain,(
% 37.71/5.12 ~spl0_39),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f1227])).
% 37.71/5.12 fof(f1305,plain,(
% 37.71/5.12 ~disjoint(set_difference(sk0_24,sk0_26),sk0_26)|~spl0_1|spl0_0),
% 37.71/5.12 inference(resolution,[status(thm)],[f983,f615])).
% 37.71/5.12 fof(f1329,plain,(
% 37.71/5.12 empty(powerset(set_difference(sk0_24,sk0_26)))|~spl0_10),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f598,f561])).
% 37.71/5.12 fof(f1330,plain,(
% 37.71/5.12 $false|~spl0_10),
% 37.71/5.12 inference(forward_subsumption_resolution,[status(thm)],[f1329,f227])).
% 37.71/5.12 fof(f1331,plain,(
% 37.71/5.12 ~spl0_10),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f1330])).
% 37.71/5.12 fof(f1332,plain,(
% 37.71/5.12 ~subset(sk0_25,set_difference(sk0_24,sk0_26))|spl0_1),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f598,f443])).
% 37.71/5.12 fof(f1337,plain,(
% 37.71/5.12 ~subset(set_difference(sk0_24,sk0_26),sk0_25)|spl0_5),
% 37.71/5.12 inference(backward_demodulation,[status(thm)],[f598,f982])).
% 37.71/5.12 fof(f1345,plain,(
% 37.71/5.12 ![X0]: (~subset(sk0_25,X0)|~subset(X0,set_difference(sk0_24,sk0_26))|spl0_1)),
% 37.71/5.12 inference(resolution,[status(thm)],[f1332,f320])).
% 37.71/5.12 fof(f1368,plain,(
% 37.71/5.12 subset_complement(sk0_24,set_difference(sk0_24,sk0_25))=set_difference(sk0_24,set_difference(sk0_24,sk0_25))),
% 37.71/5.12 inference(resolution,[status(thm)],[f748,f212])).
% 37.71/5.12 fof(f1369,plain,(
% 37.71/5.12 sk0_25=set_difference(sk0_24,set_difference(sk0_24,sk0_25))),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f758,f1368])).
% 37.71/5.12 fof(f1370,plain,(
% 37.71/5.12 sk0_25=set_intersection2(sk0_24,sk0_25)),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f381,f1369])).
% 37.71/5.12 fof(f1379,plain,(
% 37.71/5.12 subset(sk0_25,sk0_24)),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f1370,f314])).
% 37.71/5.12 fof(f1399,plain,(
% 37.71/5.12 ![X0]: (~subset(sk0_24,X0)|~subset(X0,sk0_25)|sk0_25=sk0_24)),
% 37.71/5.12 inference(resolution,[status(thm)],[f1379,f582])).
% 37.71/5.12 fof(f1400,plain,(
% 37.71/5.12 spl0_34|spl0_14),
% 37.71/5.12 inference(split_clause,[status(thm)],[f1399,f957,f605])).
% 37.71/5.12 fof(f1414,plain,(
% 37.71/5.12 ~subset(set_difference(sk0_24,sk0_26),sk0_24)|~spl0_14|spl0_5),
% 37.71/5.12 inference(backward_demodulation,[status(thm)],[f606,f1337])).
% 37.71/5.12 fof(f1415,plain,(
% 37.71/5.12 $false|~spl0_14|spl0_5),
% 37.71/5.12 inference(forward_subsumption_resolution,[status(thm)],[f1414,f340])).
% 37.71/5.12 fof(f1416,plain,(
% 37.71/5.12 ~spl0_14|spl0_5),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f1415])).
% 37.71/5.12 fof(f1502,plain,(
% 37.71/5.12 subset_complement(sk0_24,set_difference(sk0_24,sk0_26))=set_difference(sk0_24,set_difference(sk0_24,sk0_26))),
% 37.71/5.12 inference(resolution,[status(thm)],[f995,f212])).
% 37.71/5.12 fof(f1503,plain,(
% 37.71/5.12 sk0_26=set_difference(sk0_24,set_difference(sk0_24,sk0_26))),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f996,f1502])).
% 37.71/5.12 fof(f1504,plain,(
% 37.71/5.12 sk0_26=set_intersection2(sk0_24,sk0_26)),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f381,f1503])).
% 37.71/5.12 fof(f1511,plain,(
% 37.71/5.12 subset(sk0_26,sk0_24)),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f1504,f314])).
% 37.71/5.12 fof(f1609,plain,(
% 37.71/5.12 spl0_56 <=> ~subset(sk0_24,X0)|~subset(X0,sk0_26)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f1610,plain,(
% 37.71/5.12 ![X0]: (~subset(sk0_24,X0)|~subset(X0,sk0_26)|~spl0_56)),
% 37.71/5.12 inference(component_clause,[status(thm)],[f1609])).
% 37.71/5.12 fof(f1612,plain,(
% 37.71/5.12 spl0_57 <=> sk0_26=sk0_24),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f1613,plain,(
% 37.71/5.12 sk0_26=sk0_24|~spl0_57),
% 37.71/5.12 inference(component_clause,[status(thm)],[f1612])).
% 37.71/5.12 fof(f1615,plain,(
% 37.71/5.12 ![X0]: (~subset(sk0_24,X0)|~subset(X0,sk0_26)|sk0_26=sk0_24)),
% 37.71/5.12 inference(resolution,[status(thm)],[f1511,f582])).
% 37.71/5.12 fof(f1616,plain,(
% 37.71/5.12 spl0_56|spl0_57),
% 37.71/5.12 inference(split_clause,[status(thm)],[f1615,f1609,f1612])).
% 37.71/5.12 fof(f1620,plain,(
% 37.71/5.12 spl0_58 <=> element(sk0_24,powerset(sk0_26))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f1622,plain,(
% 37.71/5.12 ~element(sk0_24,powerset(sk0_26))|spl0_58),
% 37.71/5.12 inference(component_clause,[status(thm)],[f1620])).
% 37.71/5.12 fof(f1625,plain,(
% 37.71/5.12 spl0_59 <=> subset(sk0_24,sk0_26)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f1627,plain,(
% 37.71/5.12 ~subset(sk0_24,sk0_26)|spl0_59),
% 37.71/5.12 inference(component_clause,[status(thm)],[f1625])).
% 37.71/5.12 fof(f1631,plain,(
% 37.71/5.12 ~element(sk0_24,powerset(sk0_24))|~spl0_57|spl0_58),
% 37.71/5.12 inference(backward_demodulation,[status(thm)],[f1613,f1622])).
% 37.71/5.12 fof(f1632,plain,(
% 37.71/5.12 ~subset(sk0_24,sk0_24)|~spl0_57|spl0_59),
% 37.71/5.12 inference(backward_demodulation,[status(thm)],[f1613,f1627])).
% 37.71/5.12 fof(f1633,plain,(
% 37.71/5.12 $false|~spl0_57|spl0_59),
% 37.71/5.12 inference(forward_subsumption_resolution,[status(thm)],[f1632,f446])).
% 37.71/5.12 fof(f1634,plain,(
% 37.71/5.12 ~spl0_57|spl0_59),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f1633])).
% 37.71/5.12 fof(f1695,plain,(
% 37.71/5.12 element(sk0_24,powerset(sk0_24))|~spl0_57),
% 37.71/5.12 inference(backward_demodulation,[status(thm)],[f1613,f374])).
% 37.71/5.12 fof(f1892,plain,(
% 37.71/5.12 ![X0,X1]: (set_intersection2(X0,singleton(X1))=empty_set|in(X1,X0))),
% 37.71/5.12 inference(resolution,[status(thm)],[f1075,f250])).
% 37.71/5.12 fof(f1924,plain,(
% 37.71/5.12 ~subset(set_difference(sk0_24,sk0_24),sk0_25)|~spl0_57|spl0_5),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f1613,f1337])).
% 37.71/5.12 fof(f1928,plain,(
% 37.71/5.12 $false|spl0_58|~spl0_57),
% 37.71/5.12 inference(forward_subsumption_resolution,[status(thm)],[f1695,f1631])).
% 37.71/5.12 fof(f1929,plain,(
% 37.71/5.12 spl0_58|~spl0_57),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f1928])).
% 37.71/5.12 fof(f2230,plain,(
% 37.71/5.12 spl0_60 <=> ~element(powerset(sk0_24),powerset(X0))|in(sk0_26,X0)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f2233,plain,(
% 37.71/5.12 spl0_61 <=> empty(powerset(sk0_24))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f2234,plain,(
% 37.71/5.12 empty(powerset(sk0_24))|~spl0_61),
% 37.71/5.12 inference(component_clause,[status(thm)],[f2233])).
% 37.71/5.12 fof(f2236,plain,(
% 37.71/5.12 ![X0]: (~element(powerset(sk0_24),powerset(X0))|in(sk0_26,X0)|empty(powerset(sk0_24)))),
% 37.71/5.12 inference(resolution,[status(thm)],[f657,f374])).
% 37.71/5.12 fof(f2237,plain,(
% 37.71/5.12 spl0_60|spl0_61),
% 37.71/5.12 inference(split_clause,[status(thm)],[f2236,f2230,f2233])).
% 37.71/5.12 fof(f2238,plain,(
% 37.71/5.12 spl0_62 <=> ~element(powerset(sk0_24),powerset(X0))|in(set_difference(sk0_24,sk0_25),X0)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f2241,plain,(
% 37.71/5.12 ![X0]: (~element(powerset(sk0_24),powerset(X0))|in(set_difference(sk0_24,sk0_25),X0)|empty(powerset(sk0_24)))),
% 37.71/5.12 inference(resolution,[status(thm)],[f657,f748])).
% 37.71/5.12 fof(f2242,plain,(
% 37.71/5.12 spl0_62|spl0_61),
% 37.71/5.12 inference(split_clause,[status(thm)],[f2241,f2238,f2233])).
% 37.71/5.12 fof(f2243,plain,(
% 37.71/5.12 spl0_63 <=> ~element(powerset(sk0_24),powerset(X0))|in(sk0_25,X0)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f2246,plain,(
% 37.71/5.12 ![X0]: (~element(powerset(sk0_24),powerset(X0))|in(sk0_25,X0)|empty(powerset(sk0_24)))),
% 37.71/5.12 inference(resolution,[status(thm)],[f657,f373])).
% 37.71/5.12 fof(f2247,plain,(
% 37.71/5.12 spl0_63|spl0_61),
% 37.71/5.12 inference(split_clause,[status(thm)],[f2246,f2243,f2233])).
% 37.71/5.12 fof(f2250,plain,(
% 37.71/5.12 $false|~spl0_61),
% 37.71/5.12 inference(forward_subsumption_resolution,[status(thm)],[f2234,f227])).
% 37.71/5.12 fof(f2251,plain,(
% 37.71/5.12 ~spl0_61),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f2250])).
% 37.71/5.12 fof(f2280,plain,(
% 37.71/5.12 ![X0]: (subset(singleton(sk0_1(X0)),X0)|X0=empty_set)),
% 37.71/5.12 inference(resolution,[status(thm)],[f254,f135])).
% 37.71/5.12 fof(f2362,plain,(
% 37.71/5.12 set_difference(sk0_26,sk0_24)=empty_set),
% 37.71/5.12 inference(resolution,[status(thm)],[f258,f1511])).
% 37.71/5.12 fof(f2364,plain,(
% 37.71/5.12 set_difference(sk0_25,sk0_24)=empty_set),
% 37.71/5.12 inference(resolution,[status(thm)],[f258,f1379])).
% 37.71/5.12 fof(f2370,plain,(
% 37.71/5.12 ![X0,X1]: (set_difference(X0,set_union2(X1,X0))=empty_set)),
% 37.71/5.12 inference(resolution,[status(thm)],[f258,f1054])).
% 37.71/5.12 fof(f2374,plain,(
% 37.71/5.12 ![X0]: (set_difference(X0,X0)=empty_set)),
% 37.71/5.12 inference(resolution,[status(thm)],[f258,f446])).
% 37.71/5.12 fof(f2499,plain,(
% 37.71/5.12 ![X0]: (~subset(sk0_24,set_difference(sk0_26,X0))|~spl0_56)),
% 37.71/5.12 inference(resolution,[status(thm)],[f1610,f340])).
% 37.71/5.12 fof(f2501,plain,(
% 37.71/5.12 ![X0]: (~subset(sk0_24,set_intersection2(sk0_26,X0))|~spl0_56)),
% 37.71/5.12 inference(resolution,[status(thm)],[f1610,f314])).
% 37.71/5.12 fof(f2506,plain,(
% 37.71/5.12 ![X0]: (~set_difference(sk0_24,set_difference(sk0_26,X0))=empty_set|~spl0_56)),
% 37.71/5.12 inference(resolution,[status(thm)],[f2499,f257])).
% 37.71/5.12 fof(f2511,plain,(
% 37.71/5.12 ![X0]: (~set_difference(sk0_24,set_intersection2(sk0_26,X0))=empty_set|~spl0_56)),
% 37.71/5.12 inference(resolution,[status(thm)],[f2501,f257])).
% 37.71/5.12 fof(f2512,plain,(
% 37.71/5.12 ![X0,X1]: (~subset(sk0_24,X0)|~subset(X0,set_intersection2(sk0_26,X1))|~spl0_56)),
% 37.71/5.12 inference(resolution,[status(thm)],[f2501,f320])).
% 37.71/5.12 fof(f2513,plain,(
% 37.71/5.12 ![X0]: (~element(sk0_24,powerset(set_intersection2(sk0_26,X0)))|~spl0_56)),
% 37.71/5.12 inference(resolution,[status(thm)],[f2501,f508])).
% 37.71/5.12 fof(f2538,plain,(
% 37.71/5.12 ~set_difference(set_difference(sk0_24,sk0_26),sk0_26)=set_difference(sk0_24,sk0_26)|~spl0_1|spl0_0),
% 37.71/5.12 inference(resolution,[status(thm)],[f1305,f409])).
% 37.71/5.12 fof(f2639,plain,(
% 37.71/5.12 set_union2(sk0_24,empty_set)=set_union2(sk0_24,sk0_25)),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f2364,f354])).
% 37.71/5.12 fof(f2640,plain,(
% 37.71/5.12 set_union2(empty_set,sk0_24)=set_union2(sk0_24,sk0_25)),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f117,f2639])).
% 37.71/5.12 fof(f2641,plain,(
% 37.71/5.12 set_union2(sk0_24,empty_set)=set_union2(sk0_24,sk0_26)),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f2362,f354])).
% 37.71/5.12 fof(f2642,plain,(
% 37.71/5.12 set_union2(empty_set,sk0_24)=set_union2(sk0_24,sk0_26)),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f117,f2641])).
% 37.71/5.12 fof(f2697,plain,(
% 37.71/5.12 ![X0]: (disjoint(empty_set,X0))),
% 37.71/5.12 inference(resolution,[status(thm)],[f364,f450])).
% 37.71/5.12 fof(f2798,plain,(
% 37.71/5.12 ![X0,X1]: (set_difference(set_union2(X0,X1),X0)=set_difference(X1,X0))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f117,f369])).
% 37.71/5.12 fof(f2831,plain,(
% 37.71/5.12 ![X0,X1]: (set_difference(X0,singleton(unordered_pair(X1,X0)))=X0)),
% 37.71/5.12 inference(resolution,[status(thm)],[f396,f1031])).
% 37.71/5.12 fof(f3071,plain,(
% 37.71/5.12 ![X0]: (~in(sk0_24,powerset(set_intersection2(sk0_26,X0)))|~spl0_56)),
% 37.71/5.12 inference(resolution,[status(thm)],[f2513,f477])).
% 37.71/5.12 fof(f3088,plain,(
% 37.71/5.12 spl0_64 <=> element(set_difference(sk0_24,sk0_25),powerset(sk0_24))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f3091,plain,(
% 37.71/5.12 spl0_65 <=> in(sk0_25,powerset(sk0_24))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f3093,plain,(
% 37.71/5.12 ~in(sk0_25,powerset(sk0_24))|spl0_65),
% 37.71/5.12 inference(component_clause,[status(thm)],[f3091])).
% 37.71/5.12 fof(f3094,plain,(
% 37.71/5.12 element(set_difference(sk0_24,sk0_25),powerset(sk0_24))|~in(sk0_25,powerset(sk0_24))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f601,f749])).
% 37.71/5.12 fof(f3095,plain,(
% 37.71/5.12 spl0_64|~spl0_65),
% 37.71/5.12 inference(split_clause,[status(thm)],[f3094,f3088,f3091])).
% 37.71/5.12 fof(f3191,plain,(
% 37.71/5.12 spl0_66 <=> element(sk0_25,powerset(sk0_24))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f3194,plain,(
% 37.71/5.12 spl0_67 <=> in(set_difference(sk0_24,sk0_25),powerset(sk0_24))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f3196,plain,(
% 37.71/5.12 ~in(set_difference(sk0_24,sk0_25),powerset(sk0_24))|spl0_67),
% 37.71/5.12 inference(component_clause,[status(thm)],[f3194])).
% 37.71/5.12 fof(f3197,plain,(
% 37.71/5.12 element(sk0_25,powerset(sk0_24))|~in(set_difference(sk0_24,sk0_25),powerset(sk0_24))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f758,f749])).
% 37.71/5.12 fof(f3198,plain,(
% 37.71/5.12 spl0_66|~spl0_67),
% 37.71/5.12 inference(split_clause,[status(thm)],[f3197,f3191,f3194])).
% 37.71/5.12 fof(f3199,plain,(
% 37.71/5.12 spl0_68 <=> element(sk0_26,powerset(sk0_24))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f3202,plain,(
% 37.71/5.12 spl0_69 <=> in(set_difference(sk0_24,sk0_26),powerset(sk0_24))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f3204,plain,(
% 37.71/5.12 ~in(set_difference(sk0_24,sk0_26),powerset(sk0_24))|spl0_69),
% 37.71/5.12 inference(component_clause,[status(thm)],[f3202])).
% 37.71/5.12 fof(f3205,plain,(
% 37.71/5.12 element(sk0_26,powerset(sk0_24))|~in(set_difference(sk0_24,sk0_26),powerset(sk0_24))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f996,f749])).
% 37.71/5.12 fof(f3206,plain,(
% 37.71/5.12 spl0_68|~spl0_69),
% 37.71/5.12 inference(split_clause,[status(thm)],[f3205,f3199,f3202])).
% 37.71/5.12 fof(f3240,plain,(
% 37.71/5.12 spl0_70 <=> ~element(powerset(sk0_24),powerset(X0))|in(set_difference(sk0_24,sk0_26),X0)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f3243,plain,(
% 37.71/5.12 ![X0]: (~element(powerset(sk0_24),powerset(X0))|in(set_difference(sk0_24,sk0_26),X0)|empty(powerset(sk0_24)))),
% 37.71/5.12 inference(resolution,[status(thm)],[f995,f657])).
% 37.71/5.12 fof(f3244,plain,(
% 37.71/5.12 spl0_70|spl0_61),
% 37.71/5.12 inference(split_clause,[status(thm)],[f3243,f3240,f2233])).
% 37.71/5.12 fof(f3245,plain,(
% 37.71/5.12 spl0_71 <=> element(set_difference(sk0_24,sk0_26),powerset(sk0_24))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f3248,plain,(
% 37.71/5.12 spl0_72 <=> in(sk0_26,powerset(sk0_24))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f3250,plain,(
% 37.71/5.12 ~in(sk0_26,powerset(sk0_24))|spl0_72),
% 37.71/5.12 inference(component_clause,[status(thm)],[f3248])).
% 37.71/5.12 fof(f3251,plain,(
% 37.71/5.12 element(set_difference(sk0_24,sk0_26),powerset(sk0_24))|~in(sk0_26,powerset(sk0_24))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f598,f749])).
% 37.71/5.12 fof(f3252,plain,(
% 37.71/5.12 spl0_71|~spl0_72),
% 37.71/5.12 inference(split_clause,[status(thm)],[f3251,f3245,f3248])).
% 37.71/5.12 fof(f3583,plain,(
% 37.71/5.12 ![X0,X1]: (~subset(set_union2(sk0_24,X0),set_intersection2(sk0_26,X1))|~spl0_56)),
% 37.71/5.12 inference(resolution,[status(thm)],[f2512,f405])).
% 37.71/5.12 fof(f3617,plain,(
% 37.71/5.12 spl0_76 <=> disjoint(empty_set,sk0_26)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f3619,plain,(
% 37.71/5.12 ~disjoint(empty_set,sk0_26)|spl0_76),
% 37.71/5.12 inference(component_clause,[status(thm)],[f3617])).
% 37.71/5.12 fof(f3625,plain,(
% 37.71/5.12 $false|spl0_76),
% 37.71/5.12 inference(forward_subsumption_resolution,[status(thm)],[f3619,f2697])).
% 37.71/5.12 fof(f3626,plain,(
% 37.71/5.12 spl0_76),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f3625])).
% 37.71/5.12 fof(f3652,plain,(
% 37.71/5.12 spl0_78 <=> disjoint(powerset(sk0_24),powerset(sk0_24))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f3655,plain,(
% 37.71/5.12 ~disjoint(powerset(sk0_24),powerset(sk0_24))|empty(powerset(sk0_24))),
% 37.71/5.12 inference(resolution,[status(thm)],[f811,f374])).
% 37.71/5.12 fof(f3656,plain,(
% 37.71/5.12 ~spl0_78|spl0_61),
% 37.71/5.12 inference(split_clause,[status(thm)],[f3655,f3652,f2233])).
% 37.71/5.12 fof(f3663,plain,(
% 37.71/5.12 ![X0]: (~disjoint(X0,X0)|empty(X0))),
% 37.71/5.12 inference(resolution,[status(thm)],[f811,f226])).
% 37.71/5.12 fof(f3667,plain,(
% 37.71/5.12 ![X0]: (~disjoint(X0,X0)|element(empty_set,X0))),
% 37.71/5.12 inference(resolution,[status(thm)],[f3663,f783])).
% 37.71/5.12 fof(f3671,plain,(
% 37.71/5.12 ![X0,X1]: (~disjoint(X0,X0)|~empty(X1)|element(X0,X1))),
% 37.71/5.12 inference(resolution,[status(thm)],[f3663,f149])).
% 37.71/5.12 fof(f3672,plain,(
% 37.71/5.12 ![X0,X1]: (~disjoint(X0,X0)|~element(X1,X0)|empty(X1))),
% 37.71/5.12 inference(resolution,[status(thm)],[f3663,f148])).
% 37.71/5.12 fof(f3681,plain,(
% 37.71/5.12 spl0_81 <=> disjoint(empty_set,empty_set)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f3683,plain,(
% 37.71/5.12 ~disjoint(empty_set,empty_set)|spl0_81),
% 37.71/5.12 inference(component_clause,[status(thm)],[f3681])).
% 37.71/5.12 fof(f3684,plain,(
% 37.71/5.12 ~disjoint(empty_set,empty_set)|empty(empty_set)),
% 37.71/5.12 inference(resolution,[status(thm)],[f3667,f784])).
% 37.71/5.12 fof(f3685,plain,(
% 37.71/5.12 ~spl0_81|spl0_21),
% 37.71/5.12 inference(split_clause,[status(thm)],[f3684,f3681,f787])).
% 37.71/5.12 fof(f3689,plain,(
% 37.71/5.12 spl0_83 <=> subset(sk0_24,empty_set)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f3700,plain,(
% 37.71/5.12 $false|spl0_81),
% 37.71/5.12 inference(forward_subsumption_resolution,[status(thm)],[f3683,f2697])).
% 37.71/5.12 fof(f3701,plain,(
% 37.71/5.12 spl0_81),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f3700])).
% 37.71/5.12 fof(f3743,plain,(
% 37.71/5.12 ![X0,X1]: (in(X0,powerset(set_union2(X0,X1))))),
% 37.71/5.12 inference(resolution,[status(thm)],[f1016,f250])).
% 37.71/5.12 fof(f3757,plain,(
% 37.71/5.12 ![X0,X1]: (subset_complement(set_union2(X0,X1),X0)=set_difference(set_union2(X0,X1),X0))),
% 37.71/5.12 inference(resolution,[status(thm)],[f3743,f602])).
% 37.71/5.12 fof(f3758,plain,(
% 37.71/5.12 ![X0,X1]: (subset_complement(set_union2(X0,X1),X0)=set_difference(X1,X0))),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f2798,f3757])).
% 37.71/5.12 fof(f3768,plain,(
% 37.71/5.12 ![X0,X1]: (~in(powerset(set_union2(X0,X1)),X0))),
% 37.71/5.12 inference(resolution,[status(thm)],[f3743,f113])).
% 37.71/5.12 fof(f3778,plain,(
% 37.71/5.12 ![X0,X1]: (in(X0,powerset(set_union2(X1,X0))))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f117,f3743])).
% 37.71/5.12 fof(f3786,plain,(
% 37.71/5.12 ![X0,X1]: (~in(powerset(set_union2(X0,X1)),X1))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f117,f3768])).
% 37.71/5.12 fof(f3789,plain,(
% 37.71/5.12 ![X0,X1]: (subset_complement(set_union2(X0,X1),X1)=set_difference(set_union2(X0,X1),X1))),
% 37.71/5.12 inference(resolution,[status(thm)],[f3778,f602])).
% 37.71/5.12 fof(f3790,plain,(
% 37.71/5.12 ![X0,X1]: (subset_complement(set_union2(X0,X1),X1)=set_difference(X0,X1))),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f369,f3789])).
% 37.71/5.12 fof(f3807,plain,(
% 37.71/5.12 in(sk0_26,powerset(set_union2(empty_set,sk0_24)))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f2642,f3778])).
% 37.71/5.12 fof(f3808,plain,(
% 37.71/5.12 in(sk0_25,powerset(set_union2(empty_set,sk0_24)))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f2640,f3778])).
% 37.71/5.12 fof(f3809,plain,(
% 37.71/5.12 ![X0,X1]: (in(set_difference(X0,X1),powerset(set_union2(X1,X0))))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f354,f3778])).
% 37.71/5.12 fof(f3837,plain,(
% 37.71/5.12 spl0_85 <=> in(powerset(sk0_24),sk0_26)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f3839,plain,(
% 37.71/5.12 ~in(powerset(sk0_24),sk0_26)|spl0_85),
% 37.71/5.12 inference(component_clause,[status(thm)],[f3837])).
% 37.71/5.12 fof(f3840,plain,(
% 37.71/5.12 ~in(powerset(sk0_24),sk0_26)|empty(powerset(sk0_24))),
% 37.71/5.12 inference(resolution,[status(thm)],[f1037,f374])).
% 37.71/5.12 fof(f3841,plain,(
% 37.71/5.12 ~spl0_85|spl0_61),
% 37.71/5.12 inference(split_clause,[status(thm)],[f3840,f3837,f2233])).
% 37.71/5.12 fof(f3842,plain,(
% 37.71/5.12 spl0_86 <=> in(powerset(sk0_24),set_difference(sk0_24,sk0_26))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f3845,plain,(
% 37.71/5.12 ~in(powerset(sk0_24),set_difference(sk0_24,sk0_26))|empty(powerset(sk0_24))),
% 37.71/5.12 inference(resolution,[status(thm)],[f1037,f995])).
% 37.71/5.12 fof(f3846,plain,(
% 37.71/5.12 ~spl0_86|spl0_61),
% 37.71/5.12 inference(split_clause,[status(thm)],[f3845,f3842,f2233])).
% 37.71/5.12 fof(f3847,plain,(
% 37.71/5.12 spl0_87 <=> in(powerset(sk0_24),set_difference(sk0_24,sk0_25))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f3850,plain,(
% 37.71/5.12 ~in(powerset(sk0_24),set_difference(sk0_24,sk0_25))|empty(powerset(sk0_24))),
% 37.71/5.12 inference(resolution,[status(thm)],[f1037,f748])).
% 37.71/5.12 fof(f3851,plain,(
% 37.71/5.12 ~spl0_87|spl0_61),
% 37.71/5.12 inference(split_clause,[status(thm)],[f3850,f3847,f2233])).
% 37.71/5.12 fof(f3852,plain,(
% 37.71/5.12 spl0_88 <=> in(powerset(sk0_24),sk0_25)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f3855,plain,(
% 37.71/5.12 ~in(powerset(sk0_24),sk0_25)|empty(powerset(sk0_24))),
% 37.71/5.12 inference(resolution,[status(thm)],[f1037,f373])).
% 37.71/5.12 fof(f3856,plain,(
% 37.71/5.12 ~spl0_88|spl0_61),
% 37.71/5.12 inference(split_clause,[status(thm)],[f3855,f3852,f2233])).
% 37.71/5.12 fof(f4053,plain,(
% 37.71/5.12 ![X0]: (~disjoint(X0,X0)|element(X0,empty_set))),
% 37.71/5.12 inference(resolution,[status(thm)],[f3671,f228])).
% 37.71/5.12 fof(f4091,plain,(
% 37.71/5.12 spl0_99 <=> empty(X0)|~disjoint(X0,X0)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f4094,plain,(
% 37.71/5.12 ![X0]: (~disjoint(empty_set,empty_set)|empty(X0)|~disjoint(X0,X0))),
% 37.71/5.12 inference(resolution,[status(thm)],[f3672,f4053])).
% 37.71/5.12 fof(f4095,plain,(
% 37.71/5.12 ~spl0_81|spl0_99),
% 37.71/5.12 inference(split_clause,[status(thm)],[f4094,f3681,f4091])).
% 37.71/5.12 fof(f4314,plain,(
% 37.71/5.12 ![X0,X1]: (subset_complement(set_union2(X0,X1),subset_complement(set_union2(X0,X1),X1))=X1)),
% 37.71/5.12 inference(resolution,[status(thm)],[f760,f3778])).
% 37.71/5.12 fof(f4315,plain,(
% 37.71/5.12 ![X0,X1]: (subset_complement(set_union2(X0,X1),set_difference(X0,X1))=X1)),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f3790,f4314])).
% 37.71/5.12 fof(f4316,plain,(
% 37.71/5.12 ![X0,X1]: (subset_complement(set_union2(X0,X1),subset_complement(set_union2(X0,X1),X0))=X0)),
% 37.71/5.12 inference(resolution,[status(thm)],[f760,f3743])).
% 37.71/5.12 fof(f4317,plain,(
% 37.71/5.12 ![X0,X1]: (subset_complement(set_union2(X0,X1),set_difference(X1,X0))=X0)),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f3758,f4316])).
% 37.71/5.12 fof(f4496,plain,(
% 37.71/5.12 ![X0]: (set_union2(empty_set,X0)=set_difference(X0,empty_set))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f360,f2798])).
% 37.71/5.12 fof(f4497,plain,(
% 37.71/5.12 ![X0]: (set_union2(empty_set,X0)=X0)),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f360,f4496])).
% 37.71/5.12 fof(f4504,plain,(
% 37.71/5.12 ![X0,X1]: (set_difference(set_union2(X0,X1),X0)=set_difference(set_difference(X1,X0),X0))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f354,f2798])).
% 37.71/5.12 fof(f4505,plain,(
% 37.71/5.12 ![X0,X1]: (set_difference(X0,X1)=set_difference(set_difference(X0,X1),X1))),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f2798,f4504])).
% 37.71/5.12 fof(f4531,plain,(
% 37.71/5.12 in(sk0_25,powerset(sk0_24))),
% 37.71/5.12 inference(backward_demodulation,[status(thm)],[f4497,f3808])).
% 37.71/5.12 fof(f4532,plain,(
% 37.71/5.12 $false|spl0_65),
% 37.71/5.12 inference(forward_subsumption_resolution,[status(thm)],[f4531,f3093])).
% 37.71/5.12 fof(f4533,plain,(
% 37.71/5.12 spl0_65),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f4532])).
% 37.71/5.12 fof(f4534,plain,(
% 37.71/5.12 in(sk0_26,powerset(sk0_24))),
% 37.71/5.12 inference(backward_demodulation,[status(thm)],[f4497,f3807])).
% 37.71/5.12 fof(f4535,plain,(
% 37.71/5.12 $false|spl0_72),
% 37.71/5.12 inference(forward_subsumption_resolution,[status(thm)],[f4534,f3250])).
% 37.71/5.12 fof(f4536,plain,(
% 37.71/5.12 spl0_72),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f4535])).
% 37.71/5.12 fof(f4542,plain,(
% 37.71/5.12 ~set_difference(sk0_24,sk0_26)=set_difference(sk0_24,sk0_26)|~spl0_1|spl0_0),
% 37.71/5.12 inference(backward_demodulation,[status(thm)],[f4505,f2538])).
% 37.71/5.12 fof(f4543,plain,(
% 37.71/5.12 $false|~spl0_1|spl0_0),
% 37.71/5.12 inference(trivial_equality_resolution,[status(esa)],[f4542])).
% 37.71/5.12 fof(f4544,plain,(
% 37.71/5.12 ~spl0_1|spl0_0),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f4543])).
% 37.71/5.12 fof(f4548,plain,(
% 37.71/5.12 ~subset(empty_set,sk0_25)|~spl0_57|spl0_5),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f2374,f1924])).
% 37.71/5.12 fof(f4549,plain,(
% 37.71/5.12 $false|~spl0_57|spl0_5),
% 37.71/5.12 inference(forward_subsumption_resolution,[status(thm)],[f4548,f333])).
% 37.71/5.12 fof(f4550,plain,(
% 37.71/5.12 ~spl0_57|spl0_5),
% 37.71/5.12 inference(contradiction_clause,[status(thm)],[f4549])).
% 37.71/5.12 fof(f4569,plain,(
% 37.71/5.12 ~set_difference(sk0_24,sk0_26)=empty_set|~spl0_56),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f2831,f2506])).
% 37.71/5.12 fof(f4613,plain,(
% 37.71/5.12 spl0_125 <=> subset(sk0_25,sk0_26)),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.12 fof(f4615,plain,(
% 37.71/5.12 ~subset(sk0_25,sk0_26)|spl0_125),
% 37.71/5.12 inference(component_clause,[status(thm)],[f4613])).
% 37.71/5.12 fof(f4652,plain,(
% 37.71/5.12 ![X0]: (~subset(sk0_25,X0)|~subset(X0,sk0_26)|spl0_125)),
% 37.71/5.12 inference(resolution,[status(thm)],[f4615,f320])).
% 37.71/5.12 fof(f5015,plain,(
% 37.71/5.12 ![X0]: (~subset(sk0_25,set_intersection2(sk0_26,X0))|spl0_125)),
% 37.71/5.12 inference(resolution,[status(thm)],[f4652,f314])).
% 37.71/5.12 fof(f5416,plain,(
% 37.71/5.12 ![X0,X1]: (in(unordered_pair(X0,X1),ordered_pair(X0,X1)))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f213,f454])).
% 37.71/5.12 fof(f5471,plain,(
% 37.71/5.12 set_union2(sk0_24,empty_set)=set_union2(sk0_24,sk0_25)),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f2364,f354])).
% 37.71/5.12 fof(f5472,plain,(
% 37.71/5.12 set_union2(empty_set,sk0_24)=set_union2(sk0_24,sk0_25)),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f117,f5471])).
% 37.71/5.12 fof(f5473,plain,(
% 37.71/5.12 sk0_24=set_union2(sk0_24,sk0_25)),
% 37.71/5.12 inference(forward_demodulation,[status(thm)],[f4497,f5472])).
% 37.71/5.12 fof(f5515,plain,(
% 37.71/5.12 in(sk0_24,powerset(sk0_24))),
% 37.71/5.12 inference(paramodulation,[status(thm)],[f5473,f3743])).
% 37.71/5.12 fof(f5591,plain,(
% 37.71/5.12 ![X0]: (~set_difference(sk0_25,set_intersection2(sk0_26,X0))=empty_set|spl0_125)),
% 37.71/5.12 inference(resolution,[status(thm)],[f5015,f257])).
% 37.71/5.12 fof(f5593,plain,(
% 37.71/5.12 ![X0]: (~element(sk0_25,powerset(set_intersection2(sk0_26,X0)))|spl0_125)),
% 37.71/5.12 inference(resolution,[status(thm)],[f5015,f508])).
% 37.71/5.12 fof(f5911,plain,(
% 37.71/5.12 spl0_150 <=> subset(sk0_25,singleton(sk0_1(set_difference(sk0_24,sk0_26))))),
% 37.71/5.12 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f5914,plain,(
% 37.71/5.13 spl0_151 <=> set_difference(sk0_24,sk0_26)=empty_set),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f5915,plain,(
% 37.71/5.13 set_difference(sk0_24,sk0_26)=empty_set|~spl0_151),
% 37.71/5.13 inference(component_clause,[status(thm)],[f5914])).
% 37.71/5.13 fof(f5917,plain,(
% 37.71/5.13 ~subset(sk0_25,singleton(sk0_1(set_difference(sk0_24,sk0_26))))|set_difference(sk0_24,sk0_26)=empty_set|spl0_1),
% 37.71/5.13 inference(resolution,[status(thm)],[f1345,f2280])).
% 37.71/5.13 fof(f5918,plain,(
% 37.71/5.13 ~spl0_150|spl0_151|spl0_1),
% 37.71/5.13 inference(split_clause,[status(thm)],[f5917,f5911,f5914,f441])).
% 37.71/5.13 fof(f5963,plain,(
% 37.71/5.13 ![X0]: (~subset(sk0_24,set_intersection2(sk0_25,X0))|~spl0_34)),
% 37.71/5.13 inference(resolution,[status(thm)],[f958,f314])).
% 37.71/5.13 fof(f6513,plain,(
% 37.71/5.13 subset_complement(set_union2(sk0_26,sk0_24),empty_set)=sk0_24),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f2362,f4315])).
% 37.71/5.13 fof(f6514,plain,(
% 37.71/5.13 subset_complement(set_union2(sk0_24,sk0_26),empty_set)=sk0_24),
% 37.71/5.13 inference(forward_demodulation,[status(thm)],[f117,f6513])).
% 37.71/5.13 fof(f6525,plain,(
% 37.71/5.13 ![X0]: (subset_complement(set_union2(X0,X0),empty_set)=X0)),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f2374,f4315])).
% 37.71/5.13 fof(f6526,plain,(
% 37.71/5.13 ![X0]: (subset_complement(X0,empty_set)=X0)),
% 37.71/5.13 inference(forward_demodulation,[status(thm)],[f237,f6525])).
% 37.71/5.13 fof(f6528,plain,(
% 37.71/5.13 set_union2(sk0_24,sk0_26)=sk0_24),
% 37.71/5.13 inference(backward_demodulation,[status(thm)],[f6526,f6514])).
% 37.71/5.13 fof(f6582,plain,(
% 37.71/5.13 ![X0,X1]: (element(X0,powerset(set_union2(X0,X1)))|~in(set_difference(X1,X0),powerset(set_union2(X0,X1))))),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f4317,f749])).
% 37.71/5.13 fof(f6583,plain,(
% 37.71/5.13 ![X0,X1]: (element(X0,powerset(set_union2(X0,X1))))),
% 37.71/5.13 inference(forward_subsumption_resolution,[status(thm)],[f6582,f3809])).
% 37.71/5.13 fof(f6598,plain,(
% 37.71/5.13 element(sk0_24,powerset(sk0_24))),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f6528,f6583])).
% 37.71/5.13 fof(f6607,plain,(
% 37.71/5.13 subset_complement(sk0_24,sk0_24)=set_difference(sk0_24,sk0_24)),
% 37.71/5.13 inference(resolution,[status(thm)],[f6598,f212])).
% 37.71/5.13 fof(f6608,plain,(
% 37.71/5.13 subset_complement(sk0_24,sk0_24)=empty_set),
% 37.71/5.13 inference(forward_demodulation,[status(thm)],[f2374,f6607])).
% 37.71/5.13 fof(f6614,plain,(
% 37.71/5.13 spl0_172 <=> in(powerset(sk0_24),sk0_24)),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f6617,plain,(
% 37.71/5.13 ~in(powerset(sk0_24),sk0_24)|empty(powerset(sk0_24))),
% 37.71/5.13 inference(resolution,[status(thm)],[f6598,f1037])).
% 37.71/5.13 fof(f6618,plain,(
% 37.71/5.13 ~spl0_172|spl0_61),
% 37.71/5.13 inference(split_clause,[status(thm)],[f6617,f6614,f2233])).
% 37.71/5.13 fof(f6619,plain,(
% 37.71/5.13 spl0_173 <=> ~element(powerset(sk0_24),powerset(X0))|in(sk0_24,X0)),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f6622,plain,(
% 37.71/5.13 ![X0]: (~element(powerset(sk0_24),powerset(X0))|in(sk0_24,X0)|empty(powerset(sk0_24)))),
% 37.71/5.13 inference(resolution,[status(thm)],[f6598,f657])).
% 37.71/5.13 fof(f6623,plain,(
% 37.71/5.13 spl0_173|spl0_61),
% 37.71/5.13 inference(split_clause,[status(thm)],[f6622,f6619,f2233])).
% 37.71/5.13 fof(f6626,plain,(
% 37.71/5.13 spl0_174 <=> element(empty_set,powerset(sk0_24))),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f6629,plain,(
% 37.71/5.13 spl0_175 <=> in(sk0_24,powerset(sk0_24))),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f6631,plain,(
% 37.71/5.13 ~in(sk0_24,powerset(sk0_24))|spl0_175),
% 37.71/5.13 inference(component_clause,[status(thm)],[f6629])).
% 37.71/5.13 fof(f6632,plain,(
% 37.71/5.13 element(empty_set,powerset(sk0_24))|~in(sk0_24,powerset(sk0_24))),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f6608,f749])).
% 37.71/5.13 fof(f6633,plain,(
% 37.71/5.13 spl0_174|~spl0_175),
% 37.71/5.13 inference(split_clause,[status(thm)],[f6632,f6626,f6629])).
% 37.71/5.13 fof(f6634,plain,(
% 37.71/5.13 $false|spl0_175),
% 37.71/5.13 inference(forward_subsumption_resolution,[status(thm)],[f6631,f5515])).
% 37.71/5.13 fof(f6635,plain,(
% 37.71/5.13 spl0_175),
% 37.71/5.13 inference(contradiction_clause,[status(thm)],[f6634])).
% 37.71/5.13 fof(f6760,plain,(
% 37.71/5.13 ![X0]: (~in(sk0_25,powerset(set_intersection2(sk0_26,X0)))|spl0_125)),
% 37.71/5.13 inference(resolution,[status(thm)],[f5593,f477])).
% 37.71/5.13 fof(f6939,plain,(
% 37.71/5.13 ![X0,X1]: (in(unordered_pair(X0,X1),ordered_pair(X1,X0)))),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f116,f5416])).
% 37.71/5.13 fof(f7196,plain,(
% 37.71/5.13 spl0_180 <=> in(sk0_24,powerset(empty_set))),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f7199,plain,(
% 37.71/5.13 spl0_181 <=> in(X0,sk0_25)),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f7200,plain,(
% 37.71/5.13 ![X0]: (in(X0,sk0_25)|~spl0_181)),
% 37.71/5.13 inference(component_clause,[status(thm)],[f7199])).
% 37.71/5.13 fof(f7209,plain,(
% 37.71/5.13 spl0_183 <=> element(sk0_24,powerset(empty_set))),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f7224,plain,(
% 37.71/5.13 spl0_186 <=> set_difference(sk0_24,empty_set)=empty_set),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f7229,plain,(
% 37.71/5.13 ![X0]: (~subset(sk0_24,empty_set)|in(X0,sk0_25)|~spl0_34)),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f1892,f5963])).
% 37.71/5.13 fof(f7230,plain,(
% 37.71/5.13 ~spl0_83|spl0_181|~spl0_34),
% 37.71/5.13 inference(split_clause,[status(thm)],[f7229,f3689,f7199,f957])).
% 37.71/5.13 fof(f7236,plain,(
% 37.71/5.13 spl0_188 <=> in(sk0_25,powerset(empty_set))),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f7239,plain,(
% 37.71/5.13 spl0_189 <=> in(X0,sk0_26)),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f7240,plain,(
% 37.71/5.13 ![X0]: (in(X0,sk0_26)|~spl0_189)),
% 37.71/5.13 inference(component_clause,[status(thm)],[f7239])).
% 37.71/5.13 fof(f7242,plain,(
% 37.71/5.13 ![X0]: (~in(sk0_25,powerset(empty_set))|in(X0,sk0_26)|spl0_125)),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f1892,f6760])).
% 37.71/5.13 fof(f7243,plain,(
% 37.71/5.13 ~spl0_188|spl0_189|spl0_125),
% 37.71/5.13 inference(split_clause,[status(thm)],[f7242,f7236,f7239,f4613])).
% 37.71/5.13 fof(f7244,plain,(
% 37.71/5.13 spl0_190 <=> element(sk0_25,powerset(empty_set))),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f7247,plain,(
% 37.71/5.13 ![X0]: (~element(sk0_25,powerset(empty_set))|in(X0,sk0_26)|spl0_125)),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f1892,f5593])).
% 37.71/5.13 fof(f7248,plain,(
% 37.71/5.13 ~spl0_190|spl0_189|spl0_125),
% 37.71/5.13 inference(split_clause,[status(thm)],[f7247,f7244,f7239,f4613])).
% 37.71/5.13 fof(f7249,plain,(
% 37.71/5.13 spl0_191 <=> set_difference(sk0_25,empty_set)=empty_set),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f7252,plain,(
% 37.71/5.13 ![X0]: (~set_difference(sk0_25,empty_set)=empty_set|in(X0,sk0_26)|spl0_125)),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f1892,f5591])).
% 37.71/5.13 fof(f7253,plain,(
% 37.71/5.13 ~spl0_191|spl0_189|spl0_125),
% 37.71/5.13 inference(split_clause,[status(thm)],[f7252,f7249,f7239,f4613])).
% 37.71/5.13 fof(f7254,plain,(
% 37.71/5.13 spl0_192 <=> subset(sk0_25,empty_set)),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f7257,plain,(
% 37.71/5.13 ![X0]: (~subset(sk0_25,empty_set)|in(X0,sk0_26)|spl0_125)),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f1892,f5015])).
% 37.71/5.13 fof(f7258,plain,(
% 37.71/5.13 ~spl0_192|spl0_189|spl0_125),
% 37.71/5.13 inference(split_clause,[status(thm)],[f7257,f7254,f7239,f4613])).
% 37.71/5.13 fof(f7259,plain,(
% 37.71/5.13 ![X0]: (~subset(sk0_24,empty_set)|in(X0,sk0_26)|~spl0_56)),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f1892,f2501])).
% 37.71/5.13 fof(f7260,plain,(
% 37.71/5.13 ~spl0_83|spl0_189|~spl0_56),
% 37.71/5.13 inference(split_clause,[status(thm)],[f7259,f3689,f7239,f1609])).
% 37.71/5.13 fof(f7261,plain,(
% 37.71/5.13 spl0_193 <=> ~subset(set_union2(sk0_24,X0),empty_set)),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f7264,plain,(
% 37.71/5.13 ![X0,X1]: (~subset(set_union2(sk0_24,X0),empty_set)|in(X1,sk0_26)|~spl0_56)),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f1892,f3583])).
% 37.71/5.13 fof(f7265,plain,(
% 37.71/5.13 spl0_193|spl0_189|~spl0_56),
% 37.71/5.13 inference(split_clause,[status(thm)],[f7264,f7261,f7239,f1609])).
% 37.71/5.13 fof(f7266,plain,(
% 37.71/5.13 ![X0]: (~in(sk0_24,powerset(empty_set))|in(X0,sk0_26)|~spl0_56)),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f1892,f3071])).
% 37.71/5.13 fof(f7267,plain,(
% 37.71/5.13 ~spl0_180|spl0_189|~spl0_56),
% 37.71/5.13 inference(split_clause,[status(thm)],[f7266,f7196,f7239,f1609])).
% 37.71/5.13 fof(f7268,plain,(
% 37.71/5.13 ![X0]: (~element(sk0_24,powerset(empty_set))|in(X0,sk0_26)|~spl0_56)),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f1892,f2513])).
% 37.71/5.13 fof(f7269,plain,(
% 37.71/5.13 ~spl0_183|spl0_189|~spl0_56),
% 37.71/5.13 inference(split_clause,[status(thm)],[f7268,f7209,f7239,f1609])).
% 37.71/5.13 fof(f7270,plain,(
% 37.71/5.13 ![X0]: (~set_difference(sk0_24,empty_set)=empty_set|in(X0,sk0_26)|~spl0_56)),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f1892,f2511])).
% 37.71/5.13 fof(f7271,plain,(
% 37.71/5.13 ~spl0_186|spl0_189|~spl0_56),
% 37.71/5.13 inference(split_clause,[status(thm)],[f7270,f7224,f7239,f1609])).
% 37.71/5.13 fof(f7308,plain,(
% 37.71/5.13 spl0_199 <=> set_difference(X0,singleton(X1))=X0|in(X1,X0)),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f7311,plain,(
% 37.71/5.13 ![X0,X1]: (~empty_set=empty_set|set_difference(X0,singleton(X1))=X0|in(X1,X0))),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f1892,f495])).
% 37.71/5.13 fof(f7312,plain,(
% 37.71/5.13 ~spl0_26|spl0_199),
% 37.71/5.13 inference(split_clause,[status(thm)],[f7311,f821,f7308])).
% 37.71/5.13 fof(f7354,plain,(
% 37.71/5.13 $false|~spl0_189|spl0_85),
% 37.71/5.13 inference(backward_subsumption_resolution,[status(thm)],[f3839,f7240])).
% 37.71/5.13 fof(f7355,plain,(
% 37.71/5.13 ~spl0_189|spl0_85),
% 37.71/5.13 inference(contradiction_clause,[status(thm)],[f7354])).
% 37.71/5.13 fof(f7560,plain,(
% 37.71/5.13 ~in(powerset(sk0_24),sk0_25)),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f5473,f3786])).
% 37.71/5.13 fof(f7919,plain,(
% 37.71/5.13 spl0_211 <=> ~in(X0,X1)),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f7920,plain,(
% 37.71/5.13 ![X0,X1]: (~in(X0,X1)|~spl0_211)),
% 37.71/5.13 inference(component_clause,[status(thm)],[f7919])).
% 37.71/5.13 fof(f7922,plain,(
% 37.71/5.13 spl0_212 <=> ~in(X2,X3)|in(X2,X3)),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f7925,plain,(
% 37.71/5.13 ![X0,X1,X2,X3]: (~in(X0,X1)|~in(X2,X3)|in(X2,X3))),
% 37.71/5.13 inference(resolution,[status(thm)],[f275,f274])).
% 37.71/5.13 fof(f7926,plain,(
% 37.71/5.13 spl0_211|spl0_212),
% 37.71/5.13 inference(split_clause,[status(thm)],[f7925,f7919,f7922])).
% 37.71/5.13 fof(f7981,plain,(
% 37.71/5.13 $false|~spl0_211),
% 37.71/5.13 inference(backward_subsumption_resolution,[status(thm)],[f6939,f7920])).
% 37.71/5.13 fof(f7982,plain,(
% 37.71/5.13 ~spl0_211),
% 37.71/5.13 inference(contradiction_clause,[status(thm)],[f7981])).
% 37.71/5.13 fof(f8688,plain,(
% 37.71/5.13 spl0_214 <=> set_union2(sk0_24,sk0_26)=sk0_24),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f8691,plain,(
% 37.71/5.13 spl0_215 <=> subset(sk0_24,sk0_24)),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f8693,plain,(
% 37.71/5.13 ~subset(sk0_24,sk0_24)|spl0_215),
% 37.71/5.13 inference(component_clause,[status(thm)],[f8691])).
% 37.71/5.13 fof(f8694,plain,(
% 37.71/5.13 set_union2(sk0_24,sk0_26)=sk0_24|~subset(sk0_24,sk0_24)),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f6528,f1022])).
% 37.71/5.13 fof(f8695,plain,(
% 37.71/5.13 spl0_214|~spl0_215),
% 37.71/5.13 inference(split_clause,[status(thm)],[f8694,f8688,f8691])).
% 37.71/5.13 fof(f8696,plain,(
% 37.71/5.13 spl0_216 <=> set_union2(sk0_24,sk0_25)=sk0_24),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f8699,plain,(
% 37.71/5.13 set_union2(sk0_24,sk0_25)=sk0_24|~subset(sk0_24,sk0_24)),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f5473,f1022])).
% 37.71/5.13 fof(f8700,plain,(
% 37.71/5.13 spl0_216|~spl0_215),
% 37.71/5.13 inference(split_clause,[status(thm)],[f8699,f8696,f8691])).
% 37.71/5.13 fof(f8706,plain,(
% 37.71/5.13 $false|spl0_215),
% 37.71/5.13 inference(forward_subsumption_resolution,[status(thm)],[f8693,f446])).
% 37.71/5.13 fof(f8707,plain,(
% 37.71/5.13 spl0_215),
% 37.71/5.13 inference(contradiction_clause,[status(thm)],[f8706])).
% 37.71/5.13 fof(f9636,plain,(
% 37.71/5.13 ![X0]: (~subset(X0,sk0_24)|~subset(sk0_25,set_difference(X0,sk0_26))|spl0_1)),
% 37.71/5.13 inference(resolution,[status(thm)],[f336,f1345])).
% 37.71/5.13 fof(f10317,plain,(
% 37.71/5.13 ~subset(set_difference(sk0_24,sk0_25),sk0_24)|spl0_67),
% 37.71/5.13 inference(resolution,[status(thm)],[f3196,f452])).
% 37.71/5.13 fof(f10318,plain,(
% 37.71/5.13 $false|spl0_67),
% 37.71/5.13 inference(forward_subsumption_resolution,[status(thm)],[f10317,f340])).
% 37.71/5.13 fof(f10319,plain,(
% 37.71/5.13 spl0_67),
% 37.71/5.13 inference(contradiction_clause,[status(thm)],[f10318])).
% 37.71/5.13 fof(f10320,plain,(
% 37.71/5.13 ~subset(set_difference(sk0_24,sk0_26),sk0_24)|spl0_69),
% 37.71/5.13 inference(resolution,[status(thm)],[f3204,f452])).
% 37.71/5.13 fof(f10321,plain,(
% 37.71/5.13 $false|spl0_69),
% 37.71/5.13 inference(forward_subsumption_resolution,[status(thm)],[f10320,f340])).
% 37.71/5.13 fof(f10322,plain,(
% 37.71/5.13 spl0_69),
% 37.71/5.13 inference(contradiction_clause,[status(thm)],[f10321])).
% 37.71/5.13 fof(f10939,plain,(
% 37.71/5.13 spl0_253 <=> powerset(empty_set)=empty_set),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f10940,plain,(
% 37.71/5.13 powerset(empty_set)=empty_set|~spl0_253),
% 37.71/5.13 inference(component_clause,[status(thm)],[f10939])).
% 37.71/5.13 fof(f10942,plain,(
% 37.71/5.13 spl0_254 <=> X0=sk0_1(powerset(empty_set))|~subset(X0,sk0_1(powerset(empty_set)))),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f10945,plain,(
% 37.71/5.13 ![X0]: (powerset(empty_set)=empty_set|X0=sk0_1(powerset(empty_set))|~subset(X0,sk0_1(powerset(empty_set))))),
% 37.71/5.13 inference(resolution,[status(thm)],[f1218,f829])).
% 37.71/5.13 fof(f10946,plain,(
% 37.71/5.13 spl0_253|spl0_254),
% 37.71/5.13 inference(split_clause,[status(thm)],[f10945,f10939,f10942])).
% 37.71/5.13 fof(f10952,plain,(
% 37.71/5.13 spl0_256 <=> sk0_1(powerset(empty_set))=empty_set),
% 37.71/5.13 introduced(split_symbol_definition)).
% 37.71/5.13 fof(f10955,plain,(
% 37.71/5.13 powerset(empty_set)=empty_set|sk0_1(powerset(empty_set))=empty_set),
% 37.71/5.13 inference(resolution,[status(thm)],[f1218,f368])).
% 37.71/5.13 fof(f10956,plain,(
% 37.71/5.13 spl0_253|spl0_256),
% 37.71/5.13 inference(split_clause,[status(thm)],[f10955,f10939,f10952])).
% 37.71/5.13 fof(f11001,plain,(
% 37.71/5.13 singleton(empty_set)=empty_set|~spl0_253),
% 37.71/5.13 inference(forward_demodulation,[status(thm)],[f321,f10940])).
% 37.71/5.13 fof(f11002,plain,(
% 37.71/5.13 $false|~spl0_253),
% 37.71/5.13 inference(forward_subsumption_resolution,[status(thm)],[f11001,f244])).
% 37.71/5.13 fof(f11003,plain,(
% 37.71/5.13 ~spl0_253),
% 37.71/5.13 inference(contradiction_clause,[status(thm)],[f11002])).
% 37.71/5.13 fof(f11456,plain,(
% 37.71/5.13 ![X0,X1]: (~set_difference(X0,set_union2(X1,X0))=X0|set_difference(X1,X0)=set_union2(X1,X0))),
% 37.71/5.13 inference(paramodulation,[status(thm)],[f369,f490])).
% 37.71/5.13 fof(f11457,plain,(
% 37.71/5.13 ![X0,X1]: (~empty_set=X0|set_difference(X1,X0)=set_union2(X1,X0))),
% 37.71/5.13 inference(forward_demodulation,[status(thm)],[f2370,f11456])).
% 37.71/5.13 fof(f11458,plain,(
% 37.71/5.13 ![X0]: (set_difference(X0,empty_set)=set_union2(X0,empty_set))),
% 37.71/5.13 inference(destructive_equality_resolution,[status(esa)],[f11457])).
% 37.71/5.13 fof(f11593,plain,(
% 37.71/5.13 $false|~spl0_56|~spl0_151),
% 37.71/5.13 inference(forward_subsumption_resolution,[status(thm)],[f5915,f4569])).
% 37.71/5.13 fof(f11594,plain,(
% 37.71/5.13 ~spl0_56|~spl0_151),
% 37.71/5.13 inference(contradiction_clause,[status(thm)],[f11593])).
% 37.71/5.13 fof(f11625,plain,(
% 37.71/5.13 $false|~spl0_181),
% 37.71/5.13 inference(backward_subsumption_resolution,[status(thm)],[f7560,f7200])).
% 37.84/5.15 fof(f11626,plain,(
% 37.84/5.15 ~spl0_181),
% 37.84/5.15 inference(contradiction_clause,[status(thm)],[f11625])).
% 37.84/5.15 fof(f12879,plain,(
% 37.84/5.15 spl0_288 <=> set_union2(sk0_26,empty_set)=sk0_26),
% 37.84/5.15 introduced(split_symbol_definition)).
% 37.84/5.15 fof(f12882,plain,(
% 37.84/5.15 set_union2(sk0_26,empty_set)=sk0_26|~set_difference(empty_set,sk0_24)=empty_set),
% 37.84/5.15 inference(paramodulation,[status(thm)],[f11458,f686])).
% 37.84/5.15 fof(f12883,plain,(
% 37.84/5.15 spl0_288|~spl0_30),
% 37.84/5.15 inference(split_clause,[status(thm)],[f12882,f12879,f873])).
% 37.84/5.15 fof(f12892,plain,(
% 37.84/5.15 ~empty_set=empty_set|spl0_30),
% 37.84/5.15 inference(forward_demodulation,[status(thm)],[f382,f875])).
% 37.84/5.15 fof(f12893,plain,(
% 37.84/5.15 $false|spl0_30),
% 37.84/5.15 inference(trivial_equality_resolution,[status(esa)],[f12892])).
% 37.84/5.15 fof(f12894,plain,(
% 37.84/5.15 spl0_30),
% 37.84/5.15 inference(contradiction_clause,[status(thm)],[f12893])).
% 37.84/5.15 fof(f12906,plain,(
% 37.84/5.15 spl0_289 <=> set_union2(sk0_25,empty_set)=sk0_25),
% 37.84/5.15 introduced(split_symbol_definition)).
% 37.84/5.15 fof(f12909,plain,(
% 37.84/5.15 set_union2(sk0_25,empty_set)=sk0_25|~set_difference(empty_set,sk0_24)=empty_set),
% 37.84/5.15 inference(paramodulation,[status(thm)],[f11458,f693])).
% 37.84/5.15 fof(f12910,plain,(
% 37.84/5.15 spl0_289|~spl0_30),
% 37.84/5.15 inference(split_clause,[status(thm)],[f12909,f12906,f873])).
% 37.84/5.15 fof(f13181,plain,(
% 37.84/5.15 spl0_304 <=> subset(sk0_25,sk0_24)),
% 37.84/5.15 introduced(split_symbol_definition)).
% 37.84/5.15 fof(f13183,plain,(
% 37.84/5.15 ~subset(sk0_25,sk0_24)|spl0_304),
% 37.84/5.15 inference(component_clause,[status(thm)],[f13181])).
% 37.84/5.15 fof(f13184,plain,(
% 37.84/5.15 spl0_305 <=> subset(sk0_25,sk0_25)),
% 37.84/5.15 introduced(split_symbol_definition)).
% 37.84/5.15 fof(f13186,plain,(
% 37.84/5.15 ~subset(sk0_25,sk0_25)|spl0_305),
% 37.84/5.15 inference(component_clause,[status(thm)],[f13184])).
% 37.84/5.15 fof(f13187,plain,(
% 37.84/5.15 ~subset(sk0_25,sk0_24)|~subset(sk0_25,sk0_25)|spl0_1|~spl0_0),
% 37.84/5.15 inference(paramodulation,[status(thm)],[f531,f9636])).
% 37.84/5.15 fof(f13188,plain,(
% 37.84/5.15 ~spl0_304|~spl0_305|spl0_1|~spl0_0),
% 37.84/5.15 inference(split_clause,[status(thm)],[f13187,f13181,f13184,f441,f438])).
% 37.84/5.15 fof(f13194,plain,(
% 37.84/5.15 $false|spl0_304),
% 37.84/5.15 inference(forward_subsumption_resolution,[status(thm)],[f13183,f1379])).
% 37.84/5.15 fof(f13195,plain,(
% 37.84/5.15 spl0_304),
% 37.84/5.15 inference(contradiction_clause,[status(thm)],[f13194])).
% 37.84/5.15 fof(f13196,plain,(
% 37.84/5.15 $false|spl0_305),
% 37.84/5.15 inference(forward_subsumption_resolution,[status(thm)],[f13186,f446])).
% 37.84/5.15 fof(f13197,plain,(
% 37.84/5.15 spl0_305),
% 37.84/5.15 inference(contradiction_clause,[status(thm)],[f13196])).
% 37.84/5.15 fof(f13198,plain,(
% 37.84/5.15 $false),
% 37.84/5.15 inference(sat_refutation,[status(thm)],[f444,f445,f521,f529,f545,f556,f825,f836,f882,f920,f922,f928,f936,f941,f981,f1148,f1157,f1214,f1228,f1331,f1400,f1416,f1616,f1634,f1929,f2237,f2242,f2247,f2251,f3095,f3198,f3206,f3244,f3252,f3626,f3656,f3685,f3701,f3841,f3846,f3851,f3856,f4095,f4533,f4536,f4544,f4550,f5918,f6618,f6623,f6633,f6635,f7230,f7243,f7248,f7253,f7258,f7260,f7265,f7267,f7269,f7271,f7312,f7355,f7926,f7982,f8695,f8700,f8707,f10319,f10322,f10946,f10956,f11003,f11594,f11626,f12883,f12894,f12910,f13188,f13195,f13197])).
% 37.84/5.15 % SZS output end CNFRefutation for theBenchmark.p
% 37.84/5.18 % Elapsed time: 4.817215 seconds
% 37.84/5.18 % CPU time: 38.037345 seconds
% 37.84/5.18 % Memory used: 341.851 MB
%------------------------------------------------------------------------------