TSTP Solution File: SEU136+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU136+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:41:08 EDT 2024
% Result : Theorem 39.10s 5.33s
% Output : CNFRefutation 39.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU136+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 19:49:29 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.35 % Drodi V3.6.0
% 39.10/5.33 % Refutation found
% 39.10/5.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 39.10/5.33 % SZS output start CNFRefutation for theBenchmark
% 39.10/5.33 fof(f1,axiom,(
% 39.10/5.33 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 39.10/5.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.10/5.33 fof(f2,axiom,(
% 39.10/5.33 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 39.10/5.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.10/5.33 fof(f3,axiom,(
% 39.10/5.33 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 39.10/5.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.10/5.33 fof(f4,axiom,(
% 39.10/5.33 (! [A,B,C] :( C = set_union2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)| in(D,B) ) ) )) )),
% 39.10/5.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.10/5.33 fof(f5,axiom,(
% 39.10/5.33 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 39.10/5.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.10/5.33 fof(f6,axiom,(
% 39.10/5.33 (! [A,B,C] :( C = set_difference(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& ~ in(D,B) ) ) )) )),
% 39.10/5.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.10/5.33 fof(f10,axiom,(
% 39.10/5.33 empty(empty_set) ),
% 39.10/5.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.10/5.33 fof(f11,axiom,(
% 39.10/5.33 (! [A,B] :( ~ empty(A)=> ~ empty(set_union2(A,B)) ) )),
% 39.10/5.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.10/5.33 fof(f13,axiom,(
% 39.10/5.33 (! [A,B] : set_union2(A,A) = A )),
% 39.10/5.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.10/5.33 fof(f17,axiom,(
% 39.10/5.33 (! [A] : set_union2(A,empty_set) = A )),
% 39.10/5.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.10/5.33 fof(f18,axiom,(
% 39.10/5.33 (! [A] : set_difference(A,empty_set) = A )),
% 39.10/5.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.10/5.33 fof(f19,conjecture,(
% 39.10/5.33 (! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B) )),
% 39.10/5.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.10/5.33 fof(f20,negated_conjecture,(
% 39.10/5.33 ~((! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B) ))),
% 39.10/5.33 inference(negated_conjecture,[status(cth)],[f19])).
% 39.10/5.33 fof(f23,axiom,(
% 39.10/5.33 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 39.10/5.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.10/5.33 fof(f24,axiom,(
% 39.10/5.33 (! [A,B] :~ ( empty(A)& A != B& empty(B) ) )),
% 39.10/5.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 39.10/5.33 fof(f25,plain,(
% 39.10/5.33 ![A,B]: (~in(A,B)|~in(B,A))),
% 39.10/5.33 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 39.10/5.33 fof(f26,plain,(
% 39.10/5.33 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f25])).
% 39.10/5.33 fof(f27,plain,(
% 39.10/5.33 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f2])).
% 39.10/5.33 fof(f28,plain,(
% 39.10/5.33 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 39.10/5.33 inference(NNF_transformation,[status(esa)],[f3])).
% 39.10/5.33 fof(f29,plain,(
% 39.10/5.33 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 39.10/5.33 inference(miniscoping,[status(esa)],[f28])).
% 39.10/5.33 fof(f30,plain,(
% 39.10/5.33 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f29])).
% 39.10/5.33 fof(f32,plain,(
% 39.10/5.33 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f29])).
% 39.10/5.33 fof(f33,plain,(
% 39.10/5.33 ![A,B,C]: ((~C=set_union2(A,B)|(![D]: ((~in(D,C)|(in(D,A)|in(D,B)))&(in(D,C)|(~in(D,A)&~in(D,B))))))&(C=set_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 39.10/5.33 inference(NNF_transformation,[status(esa)],[f4])).
% 39.10/5.33 fof(f34,plain,(
% 39.10/5.33 (![A,B,C]: (~C=set_union2(A,B)|((![D]: (~in(D,C)|(in(D,A)|in(D,B))))&(![D]: (in(D,C)|(~in(D,A)&~in(D,B)))))))&(![A,B,C]: (C=set_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 39.10/5.33 inference(miniscoping,[status(esa)],[f33])).
% 39.10/5.33 fof(f35,plain,(
% 39.10/5.33 (![A,B,C]: (~C=set_union2(A,B)|((![D]: (~in(D,C)|(in(D,A)|in(D,B))))&(![D]: (in(D,C)|(~in(D,A)&~in(D,B)))))))&(![A,B,C]: (C=set_union2(A,B)|((~in(sk0_0(C,B,A),C)|(~in(sk0_0(C,B,A),A)&~in(sk0_0(C,B,A),B)))&(in(sk0_0(C,B,A),C)|(in(sk0_0(C,B,A),A)|in(sk0_0(C,B,A),B))))))),
% 39.10/5.33 inference(skolemization,[status(esa)],[f34])).
% 39.10/5.33 fof(f36,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (~X0=set_union2(X1,X2)|~in(X3,X0)|in(X3,X1)|in(X3,X2))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f35])).
% 39.10/5.33 fof(f37,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (~X0=set_union2(X1,X2)|in(X3,X0)|~in(X3,X1))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f35])).
% 39.10/5.33 fof(f38,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (~X0=set_union2(X1,X2)|in(X3,X0)|~in(X3,X2))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f35])).
% 39.10/5.33 fof(f39,plain,(
% 39.10/5.33 ![X0,X1,X2]: (X0=set_union2(X1,X2)|~in(sk0_0(X0,X2,X1),X0)|~in(sk0_0(X0,X2,X1),X1))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f35])).
% 39.10/5.33 fof(f40,plain,(
% 39.10/5.33 ![X0,X1,X2]: (X0=set_union2(X1,X2)|~in(sk0_0(X0,X2,X1),X0)|~in(sk0_0(X0,X2,X1),X2))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f35])).
% 39.10/5.33 fof(f41,plain,(
% 39.10/5.33 ![X0,X1,X2]: (X0=set_union2(X1,X2)|in(sk0_0(X0,X2,X1),X0)|in(sk0_0(X0,X2,X1),X1)|in(sk0_0(X0,X2,X1),X2))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f35])).
% 39.10/5.33 fof(f42,plain,(
% 39.10/5.33 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 39.10/5.33 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 39.10/5.33 fof(f43,plain,(
% 39.10/5.33 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 39.10/5.33 inference(NNF_transformation,[status(esa)],[f42])).
% 39.10/5.33 fof(f44,plain,(
% 39.10/5.33 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 39.10/5.33 inference(miniscoping,[status(esa)],[f43])).
% 39.10/5.33 fof(f45,plain,(
% 39.10/5.33 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sk0_1(B,A),A)&~in(sk0_1(B,A),B))))),
% 39.10/5.33 inference(skolemization,[status(esa)],[f44])).
% 39.10/5.33 fof(f46,plain,(
% 39.10/5.33 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f45])).
% 39.10/5.33 fof(f47,plain,(
% 39.10/5.33 ![X0,X1]: (subset(X0,X1)|in(sk0_1(X1,X0),X0))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f45])).
% 39.10/5.33 fof(f49,plain,(
% 39.10/5.33 ![A,B,C]: ((~C=set_difference(A,B)|(![D]: ((~in(D,C)|(in(D,A)&~in(D,B)))&(in(D,C)|(~in(D,A)|in(D,B))))))&(C=set_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 39.10/5.33 inference(NNF_transformation,[status(esa)],[f6])).
% 39.10/5.33 fof(f50,plain,(
% 39.10/5.33 (![A,B,C]: (~C=set_difference(A,B)|((![D]: (~in(D,C)|(in(D,A)&~in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|in(D,B)))))))&(![A,B,C]: (C=set_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 39.10/5.33 inference(miniscoping,[status(esa)],[f49])).
% 39.10/5.33 fof(f51,plain,(
% 39.10/5.33 (![A,B,C]: (~C=set_difference(A,B)|((![D]: (~in(D,C)|(in(D,A)&~in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|in(D,B)))))))&(![A,B,C]: (C=set_difference(A,B)|((~in(sk0_2(C,B,A),C)|(~in(sk0_2(C,B,A),A)|in(sk0_2(C,B,A),B)))&(in(sk0_2(C,B,A),C)|(in(sk0_2(C,B,A),A)&~in(sk0_2(C,B,A),B))))))),
% 39.10/5.33 inference(skolemization,[status(esa)],[f50])).
% 39.10/5.33 fof(f52,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|~in(X3,X0)|in(X3,X1))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f51])).
% 39.10/5.33 fof(f53,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|~in(X3,X0)|~in(X3,X2))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f51])).
% 39.10/5.33 fof(f54,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|in(X3,X0)|~in(X3,X1)|in(X3,X2))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f51])).
% 39.10/5.33 fof(f55,plain,(
% 39.10/5.33 ![X0,X1,X2]: (X0=set_difference(X1,X2)|~in(sk0_2(X0,X2,X1),X0)|~in(sk0_2(X0,X2,X1),X1)|in(sk0_2(X0,X2,X1),X2))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f51])).
% 39.10/5.33 fof(f56,plain,(
% 39.10/5.33 ![X0,X1,X2]: (X0=set_difference(X1,X2)|in(sk0_2(X0,X2,X1),X0)|in(sk0_2(X0,X2,X1),X1))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f51])).
% 39.10/5.33 fof(f57,plain,(
% 39.10/5.33 ![X0,X1,X2]: (X0=set_difference(X1,X2)|in(sk0_2(X0,X2,X1),X0)|~in(sk0_2(X0,X2,X1),X2))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f51])).
% 39.10/5.33 fof(f58,plain,(
% 39.10/5.33 empty(empty_set)),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f10])).
% 39.10/5.33 fof(f59,plain,(
% 39.10/5.33 ![A,B]: (empty(A)|~empty(set_union2(A,B)))),
% 39.10/5.33 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 39.10/5.33 fof(f60,plain,(
% 39.10/5.33 ![A]: (empty(A)|(![B]: ~empty(set_union2(A,B))))),
% 39.10/5.33 inference(miniscoping,[status(esa)],[f59])).
% 39.10/5.33 fof(f61,plain,(
% 39.10/5.33 ![X0,X1]: (empty(X0)|~empty(set_union2(X0,X1)))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f60])).
% 39.10/5.33 fof(f65,plain,(
% 39.10/5.33 ![A]: set_union2(A,A)=A),
% 39.10/5.33 inference(miniscoping,[status(esa)],[f13])).
% 39.10/5.33 fof(f66,plain,(
% 39.10/5.33 ![X0]: (set_union2(X0,X0)=X0)),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f65])).
% 39.10/5.33 fof(f73,plain,(
% 39.10/5.33 ![X0]: (set_union2(X0,empty_set)=X0)),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f17])).
% 39.10/5.33 fof(f74,plain,(
% 39.10/5.33 ![X0]: (set_difference(X0,empty_set)=X0)),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f18])).
% 39.10/5.33 fof(f75,plain,(
% 39.10/5.33 (?[A,B]: ~set_difference(set_union2(A,B),B)=set_difference(A,B))),
% 39.10/5.33 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 39.10/5.33 fof(f76,plain,(
% 39.10/5.33 ~set_difference(set_union2(sk0_5,sk0_6),sk0_6)=set_difference(sk0_5,sk0_6)),
% 39.10/5.33 inference(skolemization,[status(esa)],[f75])).
% 39.10/5.33 fof(f77,plain,(
% 39.10/5.33 ~set_difference(set_union2(sk0_5,sk0_6),sk0_6)=set_difference(sk0_5,sk0_6)),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f76])).
% 39.10/5.33 fof(f81,plain,(
% 39.10/5.33 ![A,B]: (~in(A,B)|~empty(B))),
% 39.10/5.33 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 39.10/5.33 fof(f82,plain,(
% 39.10/5.33 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 39.10/5.33 inference(miniscoping,[status(esa)],[f81])).
% 39.10/5.33 fof(f83,plain,(
% 39.10/5.33 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f82])).
% 39.10/5.33 fof(f84,plain,(
% 39.10/5.33 ![A,B]: ((~empty(A)|A=B)|~empty(B))),
% 39.10/5.33 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 39.10/5.33 fof(f85,plain,(
% 39.10/5.33 ![B]: ((![A]: (~empty(A)|A=B))|~empty(B))),
% 39.10/5.33 inference(miniscoping,[status(esa)],[f84])).
% 39.10/5.33 fof(f86,plain,(
% 39.10/5.33 ![X0,X1]: (~empty(X0)|X0=X1|~empty(X1))),
% 39.10/5.33 inference(cnf_transformation,[status(esa)],[f85])).
% 39.10/5.33 fof(f87,plain,(
% 39.10/5.33 ![X0]: (subset(X0,X0))),
% 39.10/5.33 inference(destructive_equality_resolution,[status(esa)],[f30])).
% 39.10/5.33 fof(f89,plain,(
% 39.10/5.33 ![X0,X1,X2]: (~in(X0,set_union2(X1,X2))|in(X0,X1)|in(X0,X2))),
% 39.10/5.33 inference(destructive_equality_resolution,[status(esa)],[f36])).
% 39.10/5.33 fof(f90,plain,(
% 39.10/5.33 ![X0,X1,X2]: (in(X0,set_union2(X1,X2))|~in(X0,X1))),
% 39.10/5.33 inference(destructive_equality_resolution,[status(esa)],[f37])).
% 39.10/5.33 fof(f91,plain,(
% 39.10/5.33 ![X0,X1,X2]: (in(X0,set_union2(X1,X2))|~in(X0,X2))),
% 39.10/5.33 inference(destructive_equality_resolution,[status(esa)],[f38])).
% 39.10/5.33 fof(f92,plain,(
% 39.10/5.33 ![X0,X1,X2]: (~in(X0,set_difference(X1,X2))|in(X0,X1))),
% 39.10/5.33 inference(destructive_equality_resolution,[status(esa)],[f52])).
% 39.10/5.33 fof(f93,plain,(
% 39.10/5.33 ![X0,X1,X2]: (~in(X0,set_difference(X1,X2))|~in(X0,X2))),
% 39.10/5.33 inference(destructive_equality_resolution,[status(esa)],[f53])).
% 39.10/5.33 fof(f94,plain,(
% 39.10/5.33 ![X0,X1,X2]: (in(X0,set_difference(X1,X2))|~in(X0,X1)|in(X0,X2))),
% 39.10/5.33 inference(destructive_equality_resolution,[status(esa)],[f54])).
% 39.10/5.33 fof(f95,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (~in(X0,X1)|in(X0,set_union2(set_union2(X1,X2),X3)))),
% 39.10/5.33 inference(resolution,[status(thm)],[f90,f90])).
% 39.10/5.33 fof(f99,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (~in(X0,X1)|in(X0,set_union2(X2,set_union2(X3,X1))))),
% 39.10/5.33 inference(resolution,[status(thm)],[f91,f91])).
% 39.10/5.33 fof(f100,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (~in(X0,X1)|in(X0,set_union2(set_union2(X2,X1),X3)))),
% 39.10/5.33 inference(resolution,[status(thm)],[f91,f90])).
% 39.10/5.33 fof(f102,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (in(X0,set_union2(X1,set_union2(X2,X3)))|~in(X0,X2))),
% 39.10/5.33 inference(resolution,[status(thm)],[f91,f90])).
% 39.10/5.33 fof(f107,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (in(X0,X1)|in(X0,X2)|~in(X0,set_union2(X3,set_union2(X1,X2)))|in(X0,X3))),
% 39.10/5.33 inference(resolution,[status(thm)],[f89,f89])).
% 39.10/5.33 fof(f133,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (~in(X0,set_difference(set_union2(X1,X2),X3))|in(X0,X1)|in(X0,X2))),
% 39.10/5.33 inference(resolution,[status(thm)],[f92,f89])).
% 39.10/5.33 fof(f134,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (~in(X0,set_difference(X1,X2))|in(X0,set_union2(X3,X1)))),
% 39.10/5.33 inference(resolution,[status(thm)],[f92,f91])).
% 39.10/5.33 fof(f135,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (~in(X0,set_difference(X1,X2))|in(X0,set_union2(X1,X3)))),
% 39.10/5.33 inference(resolution,[status(thm)],[f92,f90])).
% 39.10/5.33 fof(f136,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (~in(X0,X1)|~in(X0,set_difference(set_difference(X2,X1),X3)))),
% 39.10/5.33 inference(resolution,[status(thm)],[f93,f92])).
% 39.10/5.33 fof(f139,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (~in(X0,X1)|~in(X0,set_union2(X2,set_difference(X3,X1)))|in(X0,X2))),
% 39.10/5.33 inference(resolution,[status(thm)],[f93,f89])).
% 39.10/5.33 fof(f142,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (~in(X0,X1)|~in(X0,set_union2(set_difference(X2,X1),X3))|in(X0,X3))),
% 39.10/5.33 inference(resolution,[status(thm)],[f93,f89])).
% 39.10/5.33 fof(f143,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (~in(X0,set_difference(X1,set_union2(X2,X3)))|~in(X0,X3))),
% 39.10/5.33 inference(resolution,[status(thm)],[f93,f91])).
% 39.10/5.33 fof(f144,plain,(
% 39.10/5.33 ![X0,X1,X2,X3]: (~in(X0,set_difference(X1,set_union2(X2,X3)))|~in(X0,X2))),
% 39.10/5.33 inference(resolution,[status(thm)],[f93,f90])).
% 39.10/5.33 fof(f395,plain,(
% 39.10/5.33 ![X0]: (set_union2(empty_set,X0)=X0)),
% 39.10/5.33 inference(paramodulation,[status(thm)],[f27,f73])).
% 39.10/5.33 fof(f431,plain,(
% 39.10/5.33 ![X0,X1]: (~in(set_union2(X0,X1),X1))),
% 39.10/5.33 inference(resolution,[status(thm)],[f26,f91])).
% 39.10/5.33 fof(f435,plain,(
% 39.10/5.33 ![X0]: (~in(X0,set_union2(X0,set_union2(X0,X0))))),
% 39.10/5.33 inference(resolution,[status(thm)],[f26,f107])).
% 39.10/5.33 fof(f436,plain,(
% 39.10/5.33 ![X0]: (~in(X0,set_union2(X0,X0)))),
% 39.10/5.33 inference(forward_demodulation,[status(thm)],[f66,f435])).
% 39.10/5.33 fof(f437,plain,(
% 39.10/5.33 ![X0]: (~in(X0,X0))),
% 39.10/5.33 inference(forward_demodulation,[status(thm)],[f66,f436])).
% 39.10/5.33 fof(f511,plain,(
% 39.10/5.33 spl0_0 <=> subset(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f513,plain,(
% 39.10/5.33 ~subset(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6))|spl0_0),
% 39.10/5.33 inference(component_clause,[status(thm)],[f511])).
% 39.10/5.33 fof(f514,plain,(
% 39.10/5.33 spl0_1 <=> subset(set_difference(sk0_5,sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f516,plain,(
% 39.10/5.33 ~subset(set_difference(sk0_5,sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))|spl0_1),
% 39.10/5.33 inference(component_clause,[status(thm)],[f514])).
% 39.10/5.33 fof(f517,plain,(
% 39.10/5.33 ~subset(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6))|~subset(set_difference(sk0_5,sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))),
% 39.10/5.33 inference(resolution,[status(thm)],[f32,f77])).
% 39.10/5.33 fof(f518,plain,(
% 39.10/5.33 ~spl0_0|~spl0_1),
% 39.10/5.33 inference(split_clause,[status(thm)],[f517,f511,f514])).
% 39.10/5.33 fof(f685,plain,(
% 39.10/5.33 ![X0]: (~in(X0,empty_set))),
% 39.10/5.33 inference(paramodulation,[status(thm)],[f73,f431])).
% 39.10/5.33 fof(f705,plain,(
% 39.10/5.33 ![X0,X1]: (~in(X0,set_difference(empty_set,X1)))),
% 39.10/5.33 inference(resolution,[status(thm)],[f685,f92])).
% 39.10/5.33 fof(f3685,plain,(
% 39.10/5.33 ![X0]: (~subset(set_difference(X0,sk0_6),set_difference(sk0_5,sk0_6))|in(sk0_0(X0,sk0_6,sk0_5),X0)|in(sk0_0(X0,sk0_6,sk0_5),sk0_5)|in(sk0_0(X0,sk0_6,sk0_5),sk0_6)|spl0_0)),
% 39.10/5.33 inference(paramodulation,[status(thm)],[f41,f513])).
% 39.10/5.33 fof(f3686,plain,(
% 39.10/5.33 ![X0]: (~set_difference(X0,sk0_6)=set_difference(sk0_5,sk0_6)|in(sk0_0(X0,sk0_6,sk0_5),X0)|in(sk0_0(X0,sk0_6,sk0_5),sk0_5)|in(sk0_0(X0,sk0_6,sk0_5),sk0_6))),
% 39.10/5.33 inference(paramodulation,[status(thm)],[f41,f77])).
% 39.10/5.33 fof(f3863,plain,(
% 39.10/5.33 ![X0,X1]: (~subset(X0,X1)|~in(X1,X0))),
% 39.10/5.33 inference(resolution,[status(thm)],[f46,f437])).
% 39.10/5.33 fof(f3876,plain,(
% 39.10/5.33 in(sk0_1(set_difference(sk0_5,sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(set_union2(sk0_5,sk0_6),sk0_6))|spl0_0),
% 39.10/5.33 inference(resolution,[status(thm)],[f47,f513])).
% 39.10/5.33 fof(f3905,plain,(
% 39.10/5.33 ~in(sk0_1(set_difference(sk0_5,sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),sk0_6)|spl0_0),
% 39.10/5.33 inference(resolution,[status(thm)],[f3876,f93])).
% 39.10/5.33 fof(f3965,plain,(
% 39.10/5.33 ![X0]: (~in(sk0_1(set_difference(sk0_5,sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(sk0_6,X0))|spl0_0)),
% 39.10/5.33 inference(resolution,[status(thm)],[f3905,f92])).
% 39.10/5.33 fof(f3977,plain,(
% 39.10/5.33 spl0_2 <=> in(sk0_1(set_difference(sk0_5,sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),sk0_6)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f3979,plain,(
% 39.10/5.33 ~in(sk0_1(set_difference(sk0_5,sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),sk0_6)|spl0_2),
% 39.10/5.33 inference(component_clause,[status(thm)],[f3977])).
% 39.10/5.33 fof(f3980,plain,(
% 39.10/5.33 spl0_3 <=> in(sk0_1(set_difference(sk0_5,sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X0)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f3983,plain,(
% 39.10/5.33 ![X0]: (~in(sk0_1(set_difference(sk0_5,sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),sk0_6)|in(sk0_1(set_difference(sk0_5,sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X0)|spl0_0)),
% 39.10/5.33 inference(resolution,[status(thm)],[f3965,f94])).
% 39.10/5.33 fof(f3984,plain,(
% 39.10/5.33 ~spl0_2|spl0_3|spl0_0),
% 39.10/5.33 inference(split_clause,[status(thm)],[f3983,f3977,f3980,f511])).
% 39.10/5.33 fof(f4037,plain,(
% 39.10/5.33 in(sk0_1(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6)),set_difference(sk0_5,sk0_6))|spl0_1),
% 39.10/5.33 inference(resolution,[status(thm)],[f516,f47])).
% 39.10/5.33 fof(f4042,plain,(
% 39.10/5.33 ![X0]: (~subset(X0,sk0_6)|~in(sk0_1(set_difference(sk0_5,sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X0)|spl0_2)),
% 39.10/5.33 inference(resolution,[status(thm)],[f3979,f46])).
% 39.10/5.33 fof(f4093,plain,(
% 39.10/5.33 ~in(sk0_1(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6)),sk0_6)|spl0_1),
% 39.10/5.33 inference(resolution,[status(thm)],[f4037,f93])).
% 39.10/5.33 fof(f4151,plain,(
% 39.10/5.33 ![X0]: (~in(sk0_1(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6)),set_difference(sk0_6,X0))|spl0_1)),
% 39.10/5.33 inference(resolution,[status(thm)],[f4093,f92])).
% 39.10/5.33 fof(f4283,plain,(
% 39.10/5.33 spl0_4 <=> in(sk0_1(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6)),sk0_6)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f4286,plain,(
% 39.10/5.33 spl0_5 <=> in(sk0_1(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6)),X0)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f4289,plain,(
% 39.10/5.33 ![X0]: (~in(sk0_1(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6)),sk0_6)|in(sk0_1(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6)),X0)|spl0_1)),
% 39.10/5.33 inference(resolution,[status(thm)],[f4151,f94])).
% 39.10/5.33 fof(f4290,plain,(
% 39.10/5.33 ~spl0_4|spl0_5|spl0_1),
% 39.10/5.33 inference(split_clause,[status(thm)],[f4289,f4283,f4286,f514])).
% 39.10/5.33 fof(f4344,plain,(
% 39.10/5.33 ![X0,X1]: (~subset(set_union2(X0,X1),set_difference(sk0_5,sk0_6))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X1,X0),set_difference(set_union2(sk0_5,sk0_6),sk0_6))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X1,X0),X0)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X1,X0),X1)|spl0_0)),
% 39.10/5.33 inference(paramodulation,[status(thm)],[f41,f513])).
% 39.10/5.33 fof(f4455,plain,(
% 39.10/5.33 spl0_6 <=> subset(set_difference(set_union2(sk0_5,sk0_6),sk0_6),sk0_6)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f4458,plain,(
% 39.10/5.33 ~subset(set_difference(set_union2(sk0_5,sk0_6),sk0_6),sk0_6)|subset(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6))|spl0_2),
% 39.10/5.33 inference(resolution,[status(thm)],[f4042,f47])).
% 39.10/5.33 fof(f4459,plain,(
% 39.10/5.33 ~spl0_6|spl0_0|spl0_2),
% 39.10/5.33 inference(split_clause,[status(thm)],[f4458,f4455,f511,f3977])).
% 39.10/5.33 fof(f4534,plain,(
% 39.10/5.33 spl0_7 <=> in(sk0_0(sk0_5,sk0_6,sk0_5),sk0_5)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f4537,plain,(
% 39.10/5.33 spl0_8 <=> in(sk0_0(sk0_5,sk0_6,sk0_5),sk0_6)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f4542,plain,(
% 39.10/5.33 spl0_9 <=> subset(set_difference(sk0_6,sk0_6),set_difference(sk0_5,sk0_6))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f4545,plain,(
% 39.10/5.33 spl0_10 <=> in(sk0_0(sk0_6,sk0_6,sk0_5),sk0_5)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f4548,plain,(
% 39.10/5.33 spl0_11 <=> sk0_6=set_union2(sk0_5,sk0_6)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f4549,plain,(
% 39.10/5.33 sk0_6=set_union2(sk0_5,sk0_6)|~spl0_11),
% 39.10/5.33 inference(component_clause,[status(thm)],[f4548])).
% 39.10/5.33 fof(f4550,plain,(
% 39.10/5.33 ~sk0_6=set_union2(sk0_5,sk0_6)|spl0_11),
% 39.10/5.33 inference(component_clause,[status(thm)],[f4548])).
% 39.10/5.33 fof(f4553,plain,(
% 39.10/5.33 spl0_12 <=> in(sk0_0(sk0_6,sk0_6,sk0_5),sk0_6)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f4558,plain,(
% 39.10/5.33 spl0_13 <=> subset(set_difference(sk0_5,sk0_6),set_difference(sk0_5,sk0_6))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f4560,plain,(
% 39.10/5.33 ~subset(set_difference(sk0_5,sk0_6),set_difference(sk0_5,sk0_6))|spl0_13),
% 39.10/5.33 inference(component_clause,[status(thm)],[f4558])).
% 39.10/5.33 fof(f4561,plain,(
% 39.10/5.33 spl0_14 <=> sk0_5=set_union2(sk0_5,sk0_6)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f4562,plain,(
% 39.10/5.33 sk0_5=set_union2(sk0_5,sk0_6)|~spl0_14),
% 39.10/5.33 inference(component_clause,[status(thm)],[f4561])).
% 39.10/5.33 fof(f4563,plain,(
% 39.10/5.33 ~sk0_5=set_union2(sk0_5,sk0_6)|spl0_14),
% 39.10/5.33 inference(component_clause,[status(thm)],[f4561])).
% 39.10/5.33 fof(f4572,plain,(
% 39.10/5.33 spl0_15 <=> subset(set_difference(empty_set,sk0_6),set_difference(sk0_5,sk0_6))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f4574,plain,(
% 39.10/5.33 ~subset(set_difference(empty_set,sk0_6),set_difference(sk0_5,sk0_6))|spl0_15),
% 39.10/5.33 inference(component_clause,[status(thm)],[f4572])).
% 39.10/5.33 fof(f4575,plain,(
% 39.10/5.33 spl0_16 <=> in(sk0_0(empty_set,sk0_6,sk0_5),sk0_5)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f4578,plain,(
% 39.10/5.33 spl0_17 <=> in(sk0_0(empty_set,sk0_6,sk0_5),sk0_6)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f4581,plain,(
% 39.10/5.33 ~subset(set_difference(empty_set,sk0_6),set_difference(sk0_5,sk0_6))|in(sk0_0(empty_set,sk0_6,sk0_5),sk0_5)|in(sk0_0(empty_set,sk0_6,sk0_5),sk0_6)|spl0_0),
% 39.10/5.33 inference(resolution,[status(thm)],[f3685,f685])).
% 39.10/5.33 fof(f4582,plain,(
% 39.10/5.33 ~spl0_15|spl0_16|spl0_17|spl0_0),
% 39.10/5.33 inference(split_clause,[status(thm)],[f4581,f4572,f4575,f4578,f511])).
% 39.10/5.33 fof(f4789,plain,(
% 39.10/5.33 ~set_difference(sk0_5,sk0_6)=set_difference(sk0_5,sk0_6)|~spl0_14),
% 39.10/5.33 inference(backward_demodulation,[status(thm)],[f4562,f77])).
% 39.10/5.33 fof(f4790,plain,(
% 39.10/5.33 $false|~spl0_14),
% 39.10/5.33 inference(trivial_equality_resolution,[status(esa)],[f4789])).
% 39.10/5.33 fof(f4791,plain,(
% 39.10/5.33 ~spl0_14),
% 39.10/5.33 inference(contradiction_clause,[status(thm)],[f4790])).
% 39.10/5.33 fof(f4796,plain,(
% 39.10/5.33 ~in(sk0_0(sk0_5,sk0_6,sk0_5),sk0_5)|~in(sk0_0(sk0_5,sk0_6,sk0_5),sk0_5)|spl0_14),
% 39.10/5.33 inference(resolution,[status(thm)],[f4563,f39])).
% 39.10/5.33 fof(f4797,plain,(
% 39.10/5.33 ~spl0_7|spl0_14),
% 39.10/5.33 inference(split_clause,[status(thm)],[f4796,f4534,f4561])).
% 39.10/5.33 fof(f4798,plain,(
% 39.10/5.33 spl0_28 <=> subset(sk0_5,set_union2(sk0_5,sk0_6))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f4801,plain,(
% 39.10/5.33 spl0_29 <=> subset(set_union2(sk0_5,sk0_6),sk0_5)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f4804,plain,(
% 39.10/5.33 ~subset(sk0_5,set_union2(sk0_5,sk0_6))|~subset(set_union2(sk0_5,sk0_6),sk0_5)|spl0_14),
% 39.10/5.33 inference(resolution,[status(thm)],[f4563,f32])).
% 39.10/5.33 fof(f4805,plain,(
% 39.10/5.33 ~spl0_28|~spl0_29|spl0_14),
% 39.10/5.33 inference(split_clause,[status(thm)],[f4804,f4798,f4801,f4561])).
% 39.10/5.33 fof(f4985,plain,(
% 39.10/5.33 in(sk0_1(set_difference(sk0_5,sk0_6),set_difference(empty_set,sk0_6)),set_difference(empty_set,sk0_6))|spl0_15),
% 39.10/5.33 inference(resolution,[status(thm)],[f4574,f47])).
% 39.10/5.33 fof(f4986,plain,(
% 39.10/5.33 $false|spl0_15),
% 39.10/5.33 inference(forward_subsumption_resolution,[status(thm)],[f4985,f705])).
% 39.10/5.33 fof(f4987,plain,(
% 39.10/5.33 spl0_15),
% 39.10/5.33 inference(contradiction_clause,[status(thm)],[f4986])).
% 39.10/5.33 fof(f5015,plain,(
% 39.10/5.33 spl0_30 <=> subset(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(sk0_5,sk0_6))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5017,plain,(
% 39.10/5.33 ~subset(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(sk0_5,sk0_6))|spl0_30),
% 39.10/5.33 inference(component_clause,[status(thm)],[f5015])).
% 39.10/5.33 fof(f5018,plain,(
% 39.10/5.33 spl0_31 <=> set_difference(set_union2(sk0_5,sk0_6),sk0_6)=set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5021,plain,(
% 39.10/5.33 ~subset(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(sk0_5,sk0_6))|set_difference(set_union2(sk0_5,sk0_6),sk0_6)=set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))|spl0_0),
% 39.10/5.33 inference(resolution,[status(thm)],[f4344,f40])).
% 39.10/5.33 fof(f5022,plain,(
% 39.10/5.33 ~spl0_30|spl0_31|spl0_0),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5021,f5015,f5018,f511])).
% 39.10/5.33 fof(f5029,plain,(
% 39.10/5.33 spl0_32 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),sk0_6)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5032,plain,(
% 39.10/5.33 ~subset(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(sk0_5,sk0_6))|~in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),sk0_6)|spl0_0),
% 39.10/5.33 inference(resolution,[status(thm)],[f4344,f93])).
% 39.10/5.33 fof(f5033,plain,(
% 39.10/5.33 ~spl0_30|~spl0_32|spl0_0),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5032,f5015,f5029,f511])).
% 39.10/5.33 fof(f5035,plain,(
% 39.10/5.33 spl0_33 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(sk0_5,sk0_6))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5038,plain,(
% 39.10/5.33 ~subset(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(sk0_5,sk0_6))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(sk0_5,sk0_6))|spl0_0),
% 39.10/5.33 inference(resolution,[status(thm)],[f4344,f92])).
% 39.10/5.33 fof(f5039,plain,(
% 39.10/5.33 ~spl0_30|spl0_33|spl0_0),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5038,f5015,f5035,f511])).
% 39.10/5.33 fof(f5041,plain,(
% 39.10/5.33 spl0_34 <=> ~subset(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X0)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X0)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5044,plain,(
% 39.10/5.33 ![X0]: (~subset(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(sk0_5,sk0_6))|~subset(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X0)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X0)|spl0_0)),
% 39.10/5.33 inference(resolution,[status(thm)],[f4344,f46])).
% 39.10/5.33 fof(f5045,plain,(
% 39.10/5.33 ~spl0_30|spl0_34|spl0_0),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5044,f5015,f5041,f511])).
% 39.10/5.33 fof(f5047,plain,(
% 39.10/5.33 spl0_35 <=> in(set_difference(set_union2(sk0_5,sk0_6),sk0_6),sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5050,plain,(
% 39.10/5.33 ~subset(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(sk0_5,sk0_6))|~in(set_difference(set_union2(sk0_5,sk0_6),sk0_6),sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)))|spl0_0),
% 39.10/5.33 inference(resolution,[status(thm)],[f4344,f26])).
% 39.10/5.33 fof(f5051,plain,(
% 39.10/5.33 ~spl0_30|~spl0_35|spl0_0),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5050,f5015,f5047,f511])).
% 39.10/5.33 fof(f5056,plain,(
% 39.10/5.33 spl0_36 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X0))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X0)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5059,plain,(
% 39.10/5.33 ![X0]: (~subset(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(sk0_5,sk0_6))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X0))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X0)|spl0_0)),
% 39.10/5.33 inference(resolution,[status(thm)],[f4344,f94])).
% 39.10/5.33 fof(f5060,plain,(
% 39.10/5.33 ~spl0_30|spl0_36|spl0_0),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5059,f5015,f5056,f511])).
% 39.10/5.33 fof(f5062,plain,(
% 39.10/5.33 spl0_37 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(X0,set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X1)))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5065,plain,(
% 39.10/5.33 ![X0,X1]: (~subset(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(sk0_5,sk0_6))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(X0,set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X1)))|spl0_0)),
% 39.10/5.33 inference(resolution,[status(thm)],[f4344,f102])).
% 39.10/5.33 fof(f5066,plain,(
% 39.10/5.33 ~spl0_30|spl0_37|spl0_0),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5065,f5015,f5062,f511])).
% 39.10/5.33 fof(f5068,plain,(
% 39.10/5.33 spl0_38 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(set_union2(X0,set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X1))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5071,plain,(
% 39.10/5.33 ![X0,X1]: (~subset(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(sk0_5,sk0_6))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(set_union2(X0,set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X1))|spl0_0)),
% 39.10/5.33 inference(resolution,[status(thm)],[f4344,f100])).
% 39.10/5.33 fof(f5072,plain,(
% 39.10/5.33 ~spl0_30|spl0_38|spl0_0),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5071,f5015,f5068,f511])).
% 39.10/5.33 fof(f5074,plain,(
% 39.10/5.33 spl0_39 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(X0,set_union2(X1,set_difference(set_union2(sk0_5,sk0_6),sk0_6))))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5077,plain,(
% 39.10/5.33 ![X0,X1]: (~subset(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(sk0_5,sk0_6))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(X0,set_union2(X1,set_difference(set_union2(sk0_5,sk0_6),sk0_6))))|spl0_0)),
% 39.10/5.33 inference(resolution,[status(thm)],[f4344,f99])).
% 39.10/5.33 fof(f5078,plain,(
% 39.10/5.33 ~spl0_30|spl0_39|spl0_0),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5077,f5015,f5074,f511])).
% 39.10/5.33 fof(f5080,plain,(
% 39.10/5.33 spl0_40 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X0),X1))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5083,plain,(
% 39.10/5.33 ![X0,X1]: (~subset(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(sk0_5,sk0_6))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X0),X1))|spl0_0)),
% 39.10/5.33 inference(resolution,[status(thm)],[f4344,f95])).
% 39.10/5.33 fof(f5084,plain,(
% 39.10/5.33 ~spl0_30|spl0_40|spl0_0),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5083,f5015,f5080,f511])).
% 39.10/5.33 fof(f5086,plain,(
% 39.10/5.33 spl0_41 <=> ~in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(X0,set_difference(set_union2(sk0_5,sk0_6),sk0_6)))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5089,plain,(
% 39.10/5.33 ![X0]: (~subset(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(sk0_5,sk0_6))|~in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(X0,set_difference(set_union2(sk0_5,sk0_6),sk0_6)))|spl0_0)),
% 39.10/5.33 inference(resolution,[status(thm)],[f4344,f93])).
% 39.10/5.33 fof(f5090,plain,(
% 39.10/5.33 ~spl0_30|spl0_41|spl0_0),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5089,f5015,f5086,f511])).
% 39.10/5.33 fof(f5092,plain,(
% 39.10/5.33 spl0_42 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(X0,set_difference(set_union2(sk0_5,sk0_6),sk0_6)))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5095,plain,(
% 39.10/5.33 ![X0]: (~subset(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(sk0_5,sk0_6))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(X0,set_difference(set_union2(sk0_5,sk0_6),sk0_6)))|spl0_0)),
% 39.10/5.33 inference(resolution,[status(thm)],[f4344,f91])).
% 39.10/5.33 fof(f5096,plain,(
% 39.10/5.33 ~spl0_30|spl0_42|spl0_0),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5095,f5015,f5092,f511])).
% 39.10/5.33 fof(f5098,plain,(
% 39.10/5.33 spl0_43 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X0))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5101,plain,(
% 39.10/5.33 ![X0]: (~subset(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(sk0_5,sk0_6))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X0))|spl0_0)),
% 39.10/5.33 inference(resolution,[status(thm)],[f4344,f90])).
% 39.10/5.33 fof(f5102,plain,(
% 39.10/5.33 ~spl0_30|spl0_43|spl0_0),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5101,f5015,f5098,f511])).
% 39.10/5.33 fof(f5115,plain,(
% 39.10/5.33 spl0_45 <=> subset(set_union2(empty_set,empty_set),set_difference(sk0_5,sk0_6))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5116,plain,(
% 39.10/5.33 subset(set_union2(empty_set,empty_set),set_difference(sk0_5,sk0_6))|~spl0_45),
% 39.10/5.33 inference(component_clause,[status(thm)],[f5115])).
% 39.10/5.33 fof(f5117,plain,(
% 39.10/5.33 ~subset(set_union2(empty_set,empty_set),set_difference(sk0_5,sk0_6))|spl0_45),
% 39.10/5.33 inference(component_clause,[status(thm)],[f5115])).
% 39.10/5.33 fof(f5118,plain,(
% 39.10/5.33 spl0_46 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),empty_set,empty_set),set_difference(set_union2(sk0_5,sk0_6),sk0_6))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5121,plain,(
% 39.10/5.33 ~subset(set_union2(empty_set,empty_set),set_difference(sk0_5,sk0_6))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),empty_set,empty_set),set_difference(set_union2(sk0_5,sk0_6),sk0_6))|spl0_0),
% 39.10/5.33 inference(resolution,[status(thm)],[f4344,f685])).
% 39.10/5.33 fof(f5122,plain,(
% 39.10/5.33 ~spl0_45|spl0_46|spl0_0),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5121,f5115,f5118,f511])).
% 39.10/5.33 fof(f5251,plain,(
% 39.10/5.33 ~subset(empty_set,set_difference(sk0_5,sk0_6))|spl0_45),
% 39.10/5.33 inference(forward_demodulation,[status(thm)],[f395,f5117])).
% 39.10/5.33 fof(f5256,plain,(
% 39.10/5.33 ![X0,X1]: (~set_union2(X0,X1)=set_difference(sk0_5,sk0_6)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X1,X0),set_difference(set_union2(sk0_5,sk0_6),sk0_6))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X1,X0),X0)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X1,X0),X1))),
% 39.10/5.33 inference(paramodulation,[status(thm)],[f41,f77])).
% 39.10/5.33 fof(f5257,plain,(
% 39.10/5.33 ![X0,X1]: (~set_difference(set_union2(X0,X1),sk0_6)=set_difference(sk0_5,sk0_6)|in(sk0_0(set_union2(sk0_5,sk0_6),X1,X0),set_union2(sk0_5,sk0_6))|in(sk0_0(set_union2(sk0_5,sk0_6),X1,X0),X0)|in(sk0_0(set_union2(sk0_5,sk0_6),X1,X0),X1))),
% 39.10/5.33 inference(paramodulation,[status(thm)],[f41,f77])).
% 39.10/5.33 fof(f5261,plain,(
% 39.10/5.33 spl0_47 <=> set_difference(sk0_5,sk0_6)=set_difference(sk0_5,sk0_6)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5263,plain,(
% 39.10/5.33 ~set_difference(sk0_5,sk0_6)=set_difference(sk0_5,sk0_6)|spl0_47),
% 39.10/5.33 inference(component_clause,[status(thm)],[f5261])).
% 39.10/5.33 fof(f5268,plain,(
% 39.10/5.33 spl0_48 <=> set_difference(sk0_6,sk0_6)=set_difference(sk0_5,sk0_6)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5269,plain,(
% 39.10/5.33 set_difference(sk0_6,sk0_6)=set_difference(sk0_5,sk0_6)|~spl0_48),
% 39.10/5.33 inference(component_clause,[status(thm)],[f5268])).
% 39.10/5.33 fof(f5270,plain,(
% 39.10/5.33 ~set_difference(sk0_6,sk0_6)=set_difference(sk0_5,sk0_6)|spl0_48),
% 39.10/5.33 inference(component_clause,[status(thm)],[f5268])).
% 39.10/5.33 fof(f5283,plain,(
% 39.10/5.33 spl0_49 <=> set_difference(empty_set,sk0_6)=set_difference(sk0_5,sk0_6)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5285,plain,(
% 39.10/5.33 ~set_difference(empty_set,sk0_6)=set_difference(sk0_5,sk0_6)|spl0_49),
% 39.10/5.33 inference(component_clause,[status(thm)],[f5283])).
% 39.10/5.33 fof(f5286,plain,(
% 39.10/5.33 ~set_difference(empty_set,sk0_6)=set_difference(sk0_5,sk0_6)|in(sk0_0(empty_set,sk0_6,sk0_5),sk0_5)|in(sk0_0(empty_set,sk0_6,sk0_5),sk0_6)),
% 39.10/5.33 inference(resolution,[status(thm)],[f3686,f685])).
% 39.10/5.33 fof(f5287,plain,(
% 39.10/5.33 ~spl0_49|spl0_16|spl0_17),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5286,f5283,f4575,f4578])).
% 39.10/5.33 fof(f5344,plain,(
% 39.10/5.33 ![X0]: (~set_difference(X0,sk0_6)=set_difference(sk0_5,sk0_6)|in(sk0_0(X0,sk0_6,sk0_5),X0)|in(sk0_0(X0,sk0_6,sk0_5),sk0_6)|~in(sk0_5,sk0_0(X0,sk0_6,sk0_5)))),
% 39.10/5.33 inference(resolution,[status(thm)],[f3686,f26])).
% 39.10/5.33 fof(f5363,plain,(
% 39.10/5.33 ![X0]: (~set_difference(X0,sk0_6)=set_difference(sk0_5,sk0_6)|in(sk0_0(X0,sk0_6,sk0_5),X0)|in(sk0_0(X0,sk0_6,sk0_5),sk0_5)|~in(sk0_6,sk0_0(X0,sk0_6,sk0_5)))),
% 39.10/5.33 inference(resolution,[status(thm)],[f3686,f26])).
% 39.10/5.33 fof(f5378,plain,(
% 39.10/5.33 in(sk0_0(sk0_5,sk0_6,sk0_5),sk0_5)|in(sk0_0(sk0_5,sk0_6,sk0_5),sk0_5)|in(sk0_0(sk0_5,sk0_6,sk0_5),sk0_6)),
% 39.10/5.33 inference(equality_resolution,[status(esa)],[f3686])).
% 39.10/5.33 fof(f5379,plain,(
% 39.10/5.33 spl0_7|spl0_8),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5378,f4534,f4537])).
% 39.10/5.33 fof(f5479,plain,(
% 39.10/5.33 spl0_51 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6),empty_set),set_difference(set_union2(sk0_5,sk0_6),sk0_6))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5482,plain,(
% 39.10/5.33 spl0_52 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6),empty_set),empty_set)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5483,plain,(
% 39.10/5.33 in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6),empty_set),empty_set)|~spl0_52),
% 39.10/5.33 inference(component_clause,[status(thm)],[f5482])).
% 39.10/5.33 fof(f5485,plain,(
% 39.10/5.33 spl0_53 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6),empty_set),set_difference(sk0_5,sk0_6))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5488,plain,(
% 39.10/5.33 in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6),empty_set),set_difference(set_union2(sk0_5,sk0_6),sk0_6))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6),empty_set),empty_set)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6),empty_set),set_difference(sk0_5,sk0_6))),
% 39.10/5.33 inference(resolution,[status(thm)],[f5256,f395])).
% 39.10/5.33 fof(f5489,plain,(
% 39.10/5.33 spl0_51|spl0_52|spl0_53),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5488,f5479,f5482,f5485])).
% 39.10/5.33 fof(f5490,plain,(
% 39.10/5.33 spl0_54 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),empty_set,set_difference(sk0_5,sk0_6)),set_difference(set_union2(sk0_5,sk0_6),sk0_6))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5493,plain,(
% 39.10/5.33 spl0_55 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),empty_set,set_difference(sk0_5,sk0_6)),set_difference(sk0_5,sk0_6))),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5496,plain,(
% 39.10/5.33 spl0_56 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),empty_set,set_difference(sk0_5,sk0_6)),empty_set)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5497,plain,(
% 39.10/5.33 in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),empty_set,set_difference(sk0_5,sk0_6)),empty_set)|~spl0_56),
% 39.10/5.33 inference(component_clause,[status(thm)],[f5496])).
% 39.10/5.33 fof(f5499,plain,(
% 39.10/5.33 in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),empty_set,set_difference(sk0_5,sk0_6)),set_difference(set_union2(sk0_5,sk0_6),sk0_6))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),empty_set,set_difference(sk0_5,sk0_6)),set_difference(sk0_5,sk0_6))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),empty_set,set_difference(sk0_5,sk0_6)),empty_set)),
% 39.10/5.33 inference(resolution,[status(thm)],[f5256,f73])).
% 39.10/5.33 fof(f5500,plain,(
% 39.10/5.33 spl0_54|spl0_55|spl0_56),
% 39.10/5.33 inference(split_clause,[status(thm)],[f5499,f5490,f5493,f5496])).
% 39.10/5.33 fof(f5512,plain,(
% 39.10/5.33 spl0_59 <=> set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)),
% 39.10/5.33 introduced(split_symbol_definition)).
% 39.10/5.33 fof(f5515,plain,(
% 39.10/5.33 ~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)|set_difference(set_union2(sk0_5,sk0_6),sk0_6)=set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))),
% 39.10/5.33 inference(resolution,[status(thm)],[f5256,f40])).
% 39.10/5.35 fof(f5516,plain,(
% 39.10/5.35 ~spl0_59|spl0_31),
% 39.10/5.35 inference(split_clause,[status(thm)],[f5515,f5512,f5018])).
% 39.10/5.35 fof(f5523,plain,(
% 39.10/5.35 ~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)|~in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),sk0_6)),
% 39.10/5.35 inference(resolution,[status(thm)],[f5256,f93])).
% 39.10/5.35 fof(f5524,plain,(
% 39.10/5.35 ~spl0_59|~spl0_32),
% 39.10/5.35 inference(split_clause,[status(thm)],[f5523,f5512,f5029])).
% 39.10/5.35 fof(f5526,plain,(
% 39.10/5.35 ~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(sk0_5,sk0_6))),
% 39.10/5.35 inference(resolution,[status(thm)],[f5256,f92])).
% 39.10/5.35 fof(f5527,plain,(
% 39.10/5.35 ~spl0_59|spl0_33),
% 39.10/5.35 inference(split_clause,[status(thm)],[f5526,f5512,f5035])).
% 39.10/5.35 fof(f5529,plain,(
% 39.10/5.35 ![X0]: (~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)|~subset(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X0)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X0))),
% 39.10/5.35 inference(resolution,[status(thm)],[f5256,f46])).
% 39.10/5.35 fof(f5530,plain,(
% 39.10/5.35 ~spl0_59|spl0_34),
% 39.10/5.35 inference(split_clause,[status(thm)],[f5529,f5512,f5041])).
% 39.10/5.35 fof(f5532,plain,(
% 39.10/5.35 ~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)|~in(set_difference(set_union2(sk0_5,sk0_6),sk0_6),sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)))),
% 39.10/5.35 inference(resolution,[status(thm)],[f5256,f26])).
% 39.10/5.35 fof(f5533,plain,(
% 39.10/5.35 ~spl0_59|~spl0_35),
% 39.10/5.35 inference(split_clause,[status(thm)],[f5532,f5512,f5047])).
% 39.10/5.35 fof(f5538,plain,(
% 39.10/5.35 ![X0]: (~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X0))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X0))),
% 39.10/5.35 inference(resolution,[status(thm)],[f5256,f94])).
% 39.10/5.35 fof(f5539,plain,(
% 39.10/5.35 ~spl0_59|spl0_36),
% 39.10/5.35 inference(split_clause,[status(thm)],[f5538,f5512,f5056])).
% 39.10/5.35 fof(f5541,plain,(
% 39.10/5.35 ![X0,X1]: (~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(X0,set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X1))))),
% 39.10/5.35 inference(resolution,[status(thm)],[f5256,f102])).
% 39.10/5.35 fof(f5542,plain,(
% 39.10/5.35 ~spl0_59|spl0_37),
% 39.10/5.35 inference(split_clause,[status(thm)],[f5541,f5512,f5062])).
% 39.10/5.35 fof(f5544,plain,(
% 39.10/5.35 ![X0,X1]: (~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(set_union2(X0,set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X1)))),
% 39.10/5.35 inference(resolution,[status(thm)],[f5256,f100])).
% 39.10/5.35 fof(f5545,plain,(
% 39.10/5.35 ~spl0_59|spl0_38),
% 39.10/5.35 inference(split_clause,[status(thm)],[f5544,f5512,f5068])).
% 39.10/5.35 fof(f5547,plain,(
% 39.10/5.35 ![X0,X1]: (~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(X0,set_union2(X1,set_difference(set_union2(sk0_5,sk0_6),sk0_6)))))),
% 39.10/5.35 inference(resolution,[status(thm)],[f5256,f99])).
% 39.10/5.35 fof(f5548,plain,(
% 39.10/5.35 ~spl0_59|spl0_39),
% 39.10/5.35 inference(split_clause,[status(thm)],[f5547,f5512,f5074])).
% 39.10/5.35 fof(f5550,plain,(
% 39.10/5.35 ![X0,X1]: (~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X0),X1)))),
% 39.10/5.35 inference(resolution,[status(thm)],[f5256,f95])).
% 39.10/5.35 fof(f5551,plain,(
% 39.10/5.35 ~spl0_59|spl0_40),
% 39.10/5.35 inference(split_clause,[status(thm)],[f5550,f5512,f5080])).
% 39.10/5.35 fof(f5553,plain,(
% 39.10/5.35 ![X0]: (~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)|~in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(X0,set_difference(set_union2(sk0_5,sk0_6),sk0_6))))),
% 39.10/5.35 inference(resolution,[status(thm)],[f5256,f93])).
% 39.10/5.35 fof(f5554,plain,(
% 39.10/5.35 ~spl0_59|spl0_41),
% 39.10/5.35 inference(split_clause,[status(thm)],[f5553,f5512,f5086])).
% 39.10/5.35 fof(f5556,plain,(
% 39.10/5.35 ![X0]: (~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(X0,set_difference(set_union2(sk0_5,sk0_6),sk0_6))))),
% 39.10/5.35 inference(resolution,[status(thm)],[f5256,f91])).
% 39.10/5.35 fof(f5557,plain,(
% 39.10/5.35 ~spl0_59|spl0_42),
% 39.10/5.35 inference(split_clause,[status(thm)],[f5556,f5512,f5092])).
% 39.10/5.35 fof(f5559,plain,(
% 39.10/5.35 ![X0]: (~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X0)))),
% 39.10/5.35 inference(resolution,[status(thm)],[f5256,f90])).
% 39.10/5.35 fof(f5560,plain,(
% 39.10/5.35 ~spl0_59|spl0_43),
% 39.10/5.35 inference(split_clause,[status(thm)],[f5559,f5512,f5098])).
% 39.10/5.35 fof(f5570,plain,(
% 39.10/5.35 spl0_60 <=> set_union2(empty_set,empty_set)=set_difference(sk0_5,sk0_6)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f5571,plain,(
% 39.10/5.35 set_union2(empty_set,empty_set)=set_difference(sk0_5,sk0_6)|~spl0_60),
% 39.10/5.35 inference(component_clause,[status(thm)],[f5570])).
% 39.10/5.35 fof(f5572,plain,(
% 39.10/5.35 ~set_union2(empty_set,empty_set)=set_difference(sk0_5,sk0_6)|spl0_60),
% 39.10/5.35 inference(component_clause,[status(thm)],[f5570])).
% 39.10/5.35 fof(f5720,plain,(
% 39.10/5.35 ~empty_set=set_difference(sk0_5,sk0_6)|spl0_60),
% 39.10/5.35 inference(forward_demodulation,[status(thm)],[f395,f5572])).
% 39.10/5.35 fof(f5721,plain,(
% 39.10/5.35 $false|spl0_13),
% 39.10/5.35 inference(forward_subsumption_resolution,[status(thm)],[f4560,f87])).
% 39.10/5.35 fof(f5722,plain,(
% 39.10/5.35 spl0_13),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f5721])).
% 39.10/5.35 fof(f5723,plain,(
% 39.10/5.35 $false|spl0_47),
% 39.10/5.35 inference(trivial_equality_resolution,[status(esa)],[f5263])).
% 39.10/5.35 fof(f5724,plain,(
% 39.10/5.35 spl0_47),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f5723])).
% 39.10/5.35 fof(f5726,plain,(
% 39.10/5.35 $false|~spl0_56),
% 39.10/5.35 inference(forward_subsumption_resolution,[status(thm)],[f5497,f685])).
% 39.10/5.35 fof(f5727,plain,(
% 39.10/5.35 ~spl0_56),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f5726])).
% 39.10/5.35 fof(f5732,plain,(
% 39.10/5.35 spl0_61 <=> subset(set_difference(set_union2(sk0_5,sk0_6),sk0_6),sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f5735,plain,(
% 39.10/5.35 ~subset(set_difference(set_union2(sk0_5,sk0_6),sk0_6),sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)))|~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)),
% 39.10/5.35 inference(resolution,[status(thm)],[f3863,f5256])).
% 39.10/5.35 fof(f5736,plain,(
% 39.10/5.35 ~spl0_61|~spl0_59),
% 39.10/5.35 inference(split_clause,[status(thm)],[f5735,f5732,f5512])).
% 39.10/5.35 fof(f5738,plain,(
% 39.10/5.35 ~subset(set_difference(set_union2(sk0_5,sk0_6),sk0_6),sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)))|~subset(set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(sk0_5,sk0_6))|spl0_0),
% 39.10/5.35 inference(resolution,[status(thm)],[f3863,f4344])).
% 39.10/5.35 fof(f5739,plain,(
% 39.10/5.35 ~spl0_61|~spl0_30|spl0_0),
% 39.10/5.35 inference(split_clause,[status(thm)],[f5738,f5732,f5015,f511])).
% 39.10/5.35 fof(f7888,plain,(
% 39.10/5.35 spl0_67 <=> in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),set_difference(sk0_5,sk0_6))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f7889,plain,(
% 39.10/5.35 in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),set_difference(sk0_5,sk0_6))|~spl0_67),
% 39.10/5.35 inference(component_clause,[status(thm)],[f7888])).
% 39.10/5.35 fof(f7890,plain,(
% 39.10/5.35 ~in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),set_difference(sk0_5,sk0_6))|spl0_67),
% 39.10/5.35 inference(component_clause,[status(thm)],[f7888])).
% 39.10/5.35 fof(f7894,plain,(
% 39.10/5.35 spl0_69 <=> in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),sk0_6)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8210,plain,(
% 39.10/5.35 ![X0]: (~X0=set_difference(sk0_5,sk0_6)|in(sk0_2(X0,sk0_6,set_union2(sk0_5,sk0_6)),X0)|in(sk0_2(X0,sk0_6,set_union2(sk0_5,sk0_6)),set_union2(sk0_5,sk0_6)))),
% 39.10/5.35 inference(paramodulation,[status(thm)],[f56,f77])).
% 39.10/5.35 fof(f8211,plain,(
% 39.10/5.35 in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),set_difference(sk0_5,sk0_6))|in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),set_union2(sk0_5,sk0_6))),
% 39.10/5.35 inference(destructive_equality_resolution,[status(esa)],[f8210])).
% 39.10/5.35 fof(f8251,plain,(
% 39.10/5.35 ~sk0_5=sk0_6|~spl0_11|spl0_14),
% 39.10/5.35 inference(backward_demodulation,[status(thm)],[f4549,f4563])).
% 39.10/5.35 fof(f8308,plain,(
% 39.10/5.35 spl0_70 <=> subset(sk0_5,sk0_6)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8309,plain,(
% 39.10/5.35 subset(sk0_5,sk0_6)|~spl0_70),
% 39.10/5.35 inference(component_clause,[status(thm)],[f8308])).
% 39.10/5.35 fof(f8311,plain,(
% 39.10/5.35 spl0_71 <=> subset(sk0_6,sk0_5)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8318,plain,(
% 39.10/5.35 spl0_72 <=> in(sk0_2(set_difference(sk0_6,sk0_6),sk0_6,sk0_5),set_difference(sk0_6,sk0_6))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8321,plain,(
% 39.10/5.35 spl0_73 <=> in(sk0_2(set_difference(sk0_6,sk0_6),sk0_6,sk0_5),sk0_5)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8324,plain,(
% 39.10/5.35 in(sk0_2(set_difference(sk0_6,sk0_6),sk0_6,sk0_5),set_difference(sk0_6,sk0_6))|in(sk0_2(set_difference(sk0_6,sk0_6),sk0_6,sk0_5),sk0_5)|spl0_48),
% 39.10/5.35 inference(resolution,[status(thm)],[f5270,f56])).
% 39.10/5.35 fof(f8325,plain,(
% 39.10/5.35 spl0_72|spl0_73|spl0_48),
% 39.10/5.35 inference(split_clause,[status(thm)],[f8324,f8318,f8321,f5268])).
% 39.10/5.35 fof(f8326,plain,(
% 39.10/5.35 spl0_74 <=> in(sk0_2(set_difference(sk0_6,sk0_6),sk0_6,sk0_5),sk0_6)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8329,plain,(
% 39.10/5.35 ~in(sk0_2(set_difference(sk0_6,sk0_6),sk0_6,sk0_5),set_difference(sk0_6,sk0_6))|~in(sk0_2(set_difference(sk0_6,sk0_6),sk0_6,sk0_5),sk0_5)|in(sk0_2(set_difference(sk0_6,sk0_6),sk0_6,sk0_5),sk0_6)|spl0_48),
% 39.10/5.35 inference(resolution,[status(thm)],[f5270,f55])).
% 39.10/5.35 fof(f8330,plain,(
% 39.10/5.35 ~spl0_72|~spl0_73|spl0_74|spl0_48),
% 39.10/5.35 inference(split_clause,[status(thm)],[f8329,f8318,f8321,f8326,f5268])).
% 39.10/5.35 fof(f8331,plain,(
% 39.10/5.35 spl0_75 <=> subset(set_difference(sk0_5,sk0_6),set_difference(sk0_6,sk0_6))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8334,plain,(
% 39.10/5.35 ~subset(set_difference(sk0_6,sk0_6),set_difference(sk0_5,sk0_6))|~subset(set_difference(sk0_5,sk0_6),set_difference(sk0_6,sk0_6))|spl0_48),
% 39.10/5.35 inference(resolution,[status(thm)],[f5270,f32])).
% 39.10/5.35 fof(f8335,plain,(
% 39.10/5.35 ~spl0_9|~spl0_75|spl0_48),
% 39.10/5.35 inference(split_clause,[status(thm)],[f8334,f4542,f8331,f5268])).
% 39.10/5.35 fof(f8336,plain,(
% 39.10/5.35 spl0_76 <=> in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,sk0_6),set_difference(sk0_5,sk0_6))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8339,plain,(
% 39.10/5.35 spl0_77 <=> in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,sk0_6),sk0_6)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8342,plain,(
% 39.10/5.35 in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,sk0_6),set_difference(sk0_5,sk0_6))|in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,sk0_6),sk0_6)|spl0_48),
% 39.10/5.35 inference(resolution,[status(thm)],[f5270,f56])).
% 39.10/5.35 fof(f8343,plain,(
% 39.10/5.35 spl0_76|spl0_77|spl0_48),
% 39.10/5.35 inference(split_clause,[status(thm)],[f8342,f8336,f8339,f5268])).
% 39.10/5.35 fof(f8352,plain,(
% 39.10/5.35 $false|~spl0_52),
% 39.10/5.35 inference(forward_subsumption_resolution,[status(thm)],[f5483,f685])).
% 39.10/5.35 fof(f8353,plain,(
% 39.10/5.35 ~spl0_52),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f8352])).
% 39.10/5.35 fof(f8420,plain,(
% 39.10/5.35 spl0_78 <=> in(sk0_2(empty_set,sk0_6,sk0_5),empty_set)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8421,plain,(
% 39.10/5.35 in(sk0_2(empty_set,sk0_6,sk0_5),empty_set)|~spl0_78),
% 39.10/5.35 inference(component_clause,[status(thm)],[f8420])).
% 39.10/5.35 fof(f8423,plain,(
% 39.10/5.35 spl0_79 <=> in(sk0_2(empty_set,sk0_6,sk0_5),sk0_5)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8428,plain,(
% 39.10/5.35 spl0_80 <=> in(sk0_2(empty_set,sk0_6,sk0_5),sk0_6)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8433,plain,(
% 39.10/5.35 spl0_81 <=> subset(empty_set,set_difference(sk0_5,sk0_6))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8435,plain,(
% 39.10/5.35 ~subset(empty_set,set_difference(sk0_5,sk0_6))|spl0_81),
% 39.10/5.35 inference(component_clause,[status(thm)],[f8433])).
% 39.10/5.35 fof(f8436,plain,(
% 39.10/5.35 spl0_82 <=> subset(set_difference(sk0_5,sk0_6),empty_set)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8448,plain,(
% 39.10/5.35 $false|~spl0_78),
% 39.10/5.35 inference(forward_subsumption_resolution,[status(thm)],[f8421,f685])).
% 39.10/5.35 fof(f8449,plain,(
% 39.10/5.35 ~spl0_78),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f8448])).
% 39.10/5.35 fof(f8450,plain,(
% 39.10/5.35 empty_set=set_difference(sk0_5,sk0_6)|~spl0_60),
% 39.10/5.35 inference(forward_demodulation,[status(thm)],[f395,f5571])).
% 39.10/5.35 fof(f8465,plain,(
% 39.10/5.35 ~set_difference(sk0_6,sk0_6)=empty_set|~spl0_60|spl0_48),
% 39.10/5.35 inference(backward_demodulation,[status(thm)],[f8450,f5270])).
% 39.10/5.35 fof(f8488,plain,(
% 39.10/5.35 spl0_83 <=> subset(set_difference(sk0_6,sk0_6),empty_set)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8490,plain,(
% 39.10/5.35 ~subset(set_difference(sk0_6,sk0_6),empty_set)|spl0_83),
% 39.10/5.35 inference(component_clause,[status(thm)],[f8488])).
% 39.10/5.35 fof(f8491,plain,(
% 39.10/5.35 spl0_84 <=> subset(empty_set,set_difference(sk0_6,sk0_6))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8493,plain,(
% 39.10/5.35 ~subset(empty_set,set_difference(sk0_6,sk0_6))|spl0_84),
% 39.10/5.35 inference(component_clause,[status(thm)],[f8491])).
% 39.10/5.35 fof(f8494,plain,(
% 39.10/5.35 ~subset(set_difference(sk0_6,sk0_6),empty_set)|~subset(empty_set,set_difference(sk0_6,sk0_6))|~spl0_60|spl0_48),
% 39.10/5.35 inference(resolution,[status(thm)],[f8465,f32])).
% 39.10/5.35 fof(f8495,plain,(
% 39.10/5.35 ~spl0_83|~spl0_84|~spl0_60|spl0_48),
% 39.10/5.35 inference(split_clause,[status(thm)],[f8494,f8488,f8491,f5570,f5268])).
% 39.10/5.35 fof(f8496,plain,(
% 39.10/5.35 spl0_85 <=> in(sk0_2(empty_set,sk0_6,sk0_6),empty_set)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8497,plain,(
% 39.10/5.35 in(sk0_2(empty_set,sk0_6,sk0_6),empty_set)|~spl0_85),
% 39.10/5.35 inference(component_clause,[status(thm)],[f8496])).
% 39.10/5.35 fof(f8499,plain,(
% 39.10/5.35 spl0_86 <=> in(sk0_2(empty_set,sk0_6,sk0_6),sk0_6)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8513,plain,(
% 39.10/5.35 $false|~spl0_85),
% 39.10/5.35 inference(forward_subsumption_resolution,[status(thm)],[f8497,f685])).
% 39.10/5.35 fof(f8514,plain,(
% 39.10/5.35 ~spl0_85),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f8513])).
% 39.10/5.35 fof(f8534,plain,(
% 39.10/5.35 in(sk0_1(set_difference(sk0_5,sk0_6),empty_set),empty_set)|spl0_45),
% 39.10/5.35 inference(resolution,[status(thm)],[f5251,f47])).
% 39.10/5.35 fof(f8535,plain,(
% 39.10/5.35 $false|spl0_45),
% 39.10/5.35 inference(forward_subsumption_resolution,[status(thm)],[f8534,f685])).
% 39.10/5.35 fof(f8536,plain,(
% 39.10/5.35 spl0_45),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f8535])).
% 39.10/5.35 fof(f8539,plain,(
% 39.10/5.35 subset(empty_set,set_difference(sk0_5,sk0_6))|~spl0_45),
% 39.10/5.35 inference(forward_demodulation,[status(thm)],[f395,f5116])).
% 39.10/5.35 fof(f8619,plain,(
% 39.10/5.35 spl0_87 <=> set_difference(sk0_5,sk0_6)=set_difference(set_union2(sk0_5,sk0_6),sk0_6)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8620,plain,(
% 39.10/5.35 set_difference(sk0_5,sk0_6)=set_difference(set_union2(sk0_5,sk0_6),sk0_6)|~spl0_87),
% 39.10/5.35 inference(component_clause,[status(thm)],[f8619])).
% 39.10/5.35 fof(f8624,plain,(
% 39.10/5.35 ~in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),sk0_6)|~spl0_67),
% 39.10/5.35 inference(resolution,[status(thm)],[f7889,f93])).
% 39.10/5.35 fof(f8732,plain,(
% 39.10/5.35 in(sk0_1(set_difference(sk0_5,sk0_6),empty_set),empty_set)|spl0_81),
% 39.10/5.35 inference(resolution,[status(thm)],[f8435,f47])).
% 39.10/5.35 fof(f8733,plain,(
% 39.10/5.35 $false|spl0_81),
% 39.10/5.35 inference(forward_subsumption_resolution,[status(thm)],[f8732,f685])).
% 39.10/5.35 fof(f8734,plain,(
% 39.10/5.35 spl0_81),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f8733])).
% 39.10/5.35 fof(f8741,plain,(
% 39.10/5.35 in(sk0_1(set_difference(sk0_6,sk0_6),empty_set),empty_set)|spl0_84),
% 39.10/5.35 inference(resolution,[status(thm)],[f8493,f47])).
% 39.10/5.35 fof(f8742,plain,(
% 39.10/5.35 $false|spl0_84),
% 39.10/5.35 inference(forward_subsumption_resolution,[status(thm)],[f8741,f685])).
% 39.10/5.35 fof(f8743,plain,(
% 39.10/5.35 spl0_84),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f8742])).
% 39.10/5.35 fof(f8753,plain,(
% 39.10/5.35 spl0_88 <=> set_difference(sk0_5,sk0_6)=empty_set),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8754,plain,(
% 39.10/5.35 set_difference(sk0_5,sk0_6)=empty_set|~spl0_88),
% 39.10/5.35 inference(component_clause,[status(thm)],[f8753])).
% 39.10/5.35 fof(f8755,plain,(
% 39.10/5.35 ~set_difference(sk0_5,sk0_6)=empty_set|spl0_88),
% 39.10/5.35 inference(component_clause,[status(thm)],[f8753])).
% 39.10/5.35 fof(f8756,plain,(
% 39.10/5.35 set_difference(sk0_5,sk0_6)=empty_set|~subset(set_difference(sk0_5,sk0_6),empty_set)|~spl0_45),
% 39.10/5.35 inference(resolution,[status(thm)],[f8539,f32])).
% 39.10/5.35 fof(f8757,plain,(
% 39.10/5.35 spl0_88|~spl0_82|~spl0_45),
% 39.10/5.35 inference(split_clause,[status(thm)],[f8756,f8753,f8436,f5115])).
% 39.10/5.35 fof(f8951,plain,(
% 39.10/5.35 spl0_90 <=> in(sk0_5,sk0_0(empty_set,sk0_6,sk0_5))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f8954,plain,(
% 39.10/5.35 ~set_difference(empty_set,sk0_6)=set_difference(sk0_5,sk0_6)|in(sk0_0(empty_set,sk0_6,sk0_5),sk0_6)|~in(sk0_5,sk0_0(empty_set,sk0_6,sk0_5))),
% 39.10/5.35 inference(resolution,[status(thm)],[f5344,f685])).
% 39.10/5.35 fof(f8955,plain,(
% 39.10/5.35 ~spl0_49|spl0_17|~spl0_90),
% 39.10/5.35 inference(split_clause,[status(thm)],[f8954,f5283,f4578,f8951])).
% 39.10/5.35 fof(f9127,plain,(
% 39.10/5.35 spl0_100 <=> in(sk0_6,sk0_0(sk0_5,sk0_6,sk0_5))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f9147,plain,(
% 39.10/5.35 spl0_101 <=> in(sk0_6,sk0_0(empty_set,sk0_6,sk0_5))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f9150,plain,(
% 39.10/5.35 ~set_difference(empty_set,sk0_6)=set_difference(sk0_5,sk0_6)|in(sk0_0(empty_set,sk0_6,sk0_5),sk0_5)|~in(sk0_6,sk0_0(empty_set,sk0_6,sk0_5))),
% 39.10/5.35 inference(resolution,[status(thm)],[f5363,f685])).
% 39.10/5.35 fof(f9151,plain,(
% 39.10/5.35 ~spl0_49|spl0_16|~spl0_101),
% 39.10/5.35 inference(split_clause,[status(thm)],[f9150,f5283,f4575,f9147])).
% 39.10/5.35 fof(f9288,plain,(
% 39.10/5.35 in(sk0_0(sk0_5,sk0_6,sk0_5),sk0_5)|in(sk0_0(sk0_5,sk0_6,sk0_5),sk0_5)|~in(sk0_6,sk0_0(sk0_5,sk0_6,sk0_5))),
% 39.10/5.35 inference(equality_resolution,[status(esa)],[f5363])).
% 39.10/5.35 fof(f9289,plain,(
% 39.10/5.35 spl0_7|~spl0_100),
% 39.10/5.35 inference(split_clause,[status(thm)],[f9288,f4534,f9127])).
% 39.10/5.35 fof(f9438,plain,(
% 39.10/5.35 ![X0]: (~set_difference(set_union2(set_difference(empty_set,X0),set_difference(empty_set,X0)),sk0_6)=set_difference(sk0_5,sk0_6)|in(sk0_0(set_union2(sk0_5,sk0_6),set_difference(empty_set,X0),set_difference(empty_set,X0)),set_union2(sk0_5,sk0_6)))),
% 39.10/5.35 inference(resolution,[status(thm)],[f5257,f705])).
% 39.10/5.35 fof(f9439,plain,(
% 39.10/5.35 ![X0]: (~set_difference(set_difference(empty_set,X0),sk0_6)=set_difference(sk0_5,sk0_6)|in(sk0_0(set_union2(sk0_5,sk0_6),set_difference(empty_set,X0),set_difference(empty_set,X0)),set_union2(sk0_5,sk0_6)))),
% 39.10/5.35 inference(forward_demodulation,[status(thm)],[f66,f9438])).
% 39.10/5.35 fof(f12114,plain,(
% 39.10/5.35 in(sk0_2(set_difference(sk0_6,sk0_6),sk0_6,sk0_5),set_difference(sk0_6,sk0_6))|~in(sk0_2(set_difference(sk0_6,sk0_6),sk0_6,sk0_5),sk0_6)|spl0_48),
% 39.10/5.35 inference(resolution,[status(thm)],[f57,f5270])).
% 39.10/5.35 fof(f12115,plain,(
% 39.10/5.35 spl0_72|~spl0_74|spl0_48),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12114,f8318,f8326,f5268])).
% 39.10/5.35 fof(f12120,plain,(
% 39.10/5.35 in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),set_difference(sk0_5,sk0_6))|~in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),sk0_6)),
% 39.10/5.35 inference(resolution,[status(thm)],[f57,f77])).
% 39.10/5.35 fof(f12121,plain,(
% 39.10/5.35 spl0_67|~spl0_69),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12120,f7888,f7894])).
% 39.10/5.35 fof(f12124,plain,(
% 39.10/5.35 in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,sk0_6),set_difference(sk0_5,sk0_6))|~in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,sk0_6),sk0_6)|spl0_48),
% 39.10/5.35 inference(resolution,[status(thm)],[f57,f5270])).
% 39.10/5.35 fof(f12125,plain,(
% 39.10/5.35 spl0_76|~spl0_77|spl0_48),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12124,f8336,f8339,f5268])).
% 39.10/5.35 fof(f12284,plain,(
% 39.10/5.35 spl0_124 <=> empty(empty_set)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f12287,plain,(
% 39.10/5.35 spl0_125 <=> ~empty(X0)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f12288,plain,(
% 39.10/5.35 ![X0]: (~empty(X0)|~spl0_125)),
% 39.10/5.35 inference(component_clause,[status(thm)],[f12287])).
% 39.10/5.35 fof(f12290,plain,(
% 39.10/5.35 ![X0]: (empty(empty_set)|~empty(X0))),
% 39.10/5.35 inference(paramodulation,[status(thm)],[f395,f61])).
% 39.10/5.35 fof(f12291,plain,(
% 39.10/5.35 spl0_124|spl0_125),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12290,f12284,f12287])).
% 39.10/5.35 fof(f12299,plain,(
% 39.10/5.35 spl0_126 <=> set_difference(sk0_6,sk0_6)=empty_set),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f12300,plain,(
% 39.10/5.35 set_difference(sk0_6,sk0_6)=empty_set|~spl0_126),
% 39.10/5.35 inference(component_clause,[status(thm)],[f12299])).
% 39.10/5.35 fof(f12301,plain,(
% 39.10/5.35 ~set_difference(sk0_6,sk0_6)=empty_set|spl0_126),
% 39.10/5.35 inference(component_clause,[status(thm)],[f12299])).
% 39.10/5.35 fof(f12314,plain,(
% 39.10/5.35 spl0_127 <=> in(sk0_2(set_difference(empty_set,sk0_6),sk0_6,sk0_5),set_difference(empty_set,sk0_6))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f12315,plain,(
% 39.10/5.35 in(sk0_2(set_difference(empty_set,sk0_6),sk0_6,sk0_5),set_difference(empty_set,sk0_6))|~spl0_127),
% 39.10/5.35 inference(component_clause,[status(thm)],[f12314])).
% 39.10/5.35 fof(f12317,plain,(
% 39.10/5.35 spl0_128 <=> in(sk0_2(set_difference(empty_set,sk0_6),sk0_6,sk0_5),sk0_6)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f12320,plain,(
% 39.10/5.35 in(sk0_2(set_difference(empty_set,sk0_6),sk0_6,sk0_5),set_difference(empty_set,sk0_6))|~in(sk0_2(set_difference(empty_set,sk0_6),sk0_6,sk0_5),sk0_6)|spl0_49),
% 39.10/5.35 inference(resolution,[status(thm)],[f5285,f57])).
% 39.10/5.35 fof(f12321,plain,(
% 39.10/5.35 spl0_127|~spl0_128|spl0_49),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12320,f12314,f12317,f5283])).
% 39.10/5.35 fof(f12322,plain,(
% 39.10/5.35 spl0_129 <=> in(sk0_2(set_difference(empty_set,sk0_6),sk0_6,sk0_5),sk0_5)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f12325,plain,(
% 39.10/5.35 in(sk0_2(set_difference(empty_set,sk0_6),sk0_6,sk0_5),set_difference(empty_set,sk0_6))|in(sk0_2(set_difference(empty_set,sk0_6),sk0_6,sk0_5),sk0_5)|spl0_49),
% 39.10/5.35 inference(resolution,[status(thm)],[f5285,f56])).
% 39.10/5.35 fof(f12326,plain,(
% 39.10/5.35 spl0_127|spl0_129|spl0_49),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12325,f12314,f12322,f5283])).
% 39.10/5.35 fof(f12329,plain,(
% 39.10/5.35 spl0_130 <=> subset(set_difference(sk0_5,sk0_6),set_difference(empty_set,sk0_6))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f12332,plain,(
% 39.10/5.35 ~subset(set_difference(empty_set,sk0_6),set_difference(sk0_5,sk0_6))|~subset(set_difference(sk0_5,sk0_6),set_difference(empty_set,sk0_6))|spl0_49),
% 39.10/5.35 inference(resolution,[status(thm)],[f5285,f32])).
% 39.10/5.35 fof(f12333,plain,(
% 39.10/5.35 ~spl0_15|~spl0_130|spl0_49),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12332,f4572,f12329,f5283])).
% 39.10/5.35 fof(f12334,plain,(
% 39.10/5.35 spl0_131 <=> in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,empty_set),set_difference(sk0_5,sk0_6))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f12337,plain,(
% 39.10/5.35 spl0_132 <=> in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,empty_set),sk0_6)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f12340,plain,(
% 39.10/5.35 in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,empty_set),set_difference(sk0_5,sk0_6))|~in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,empty_set),sk0_6)|spl0_49),
% 39.10/5.35 inference(resolution,[status(thm)],[f5285,f57])).
% 39.10/5.35 fof(f12341,plain,(
% 39.10/5.35 spl0_131|~spl0_132|spl0_49),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12340,f12334,f12337,f5283])).
% 39.10/5.35 fof(f12342,plain,(
% 39.10/5.35 spl0_133 <=> in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,empty_set),empty_set)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f12345,plain,(
% 39.10/5.35 in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,empty_set),set_difference(sk0_5,sk0_6))|in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,empty_set),empty_set)|spl0_49),
% 39.10/5.35 inference(resolution,[status(thm)],[f5285,f56])).
% 39.10/5.35 fof(f12346,plain,(
% 39.10/5.35 spl0_131|spl0_133|spl0_49),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12345,f12334,f12342,f5283])).
% 39.10/5.35 fof(f12347,plain,(
% 39.10/5.35 ~in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,empty_set),set_difference(sk0_5,sk0_6))|~in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,empty_set),empty_set)|in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,empty_set),sk0_6)|spl0_49),
% 39.10/5.35 inference(resolution,[status(thm)],[f5285,f55])).
% 39.10/5.35 fof(f12348,plain,(
% 39.10/5.35 ~spl0_131|~spl0_133|spl0_132|spl0_49),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12347,f12334,f12342,f12337,f5283])).
% 39.10/5.35 fof(f12356,plain,(
% 39.10/5.35 ~subset(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(sk0_5,sk0_6))|spl0_30),
% 39.10/5.35 inference(forward_demodulation,[status(thm)],[f66,f5017])).
% 39.10/5.35 fof(f12357,plain,(
% 39.10/5.35 ~spl0_0|spl0_30),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12356,f511,f5015])).
% 39.10/5.35 fof(f12358,plain,(
% 39.10/5.35 $false|~spl0_87),
% 39.10/5.35 inference(forward_subsumption_resolution,[status(thm)],[f8620,f77])).
% 39.10/5.35 fof(f12359,plain,(
% 39.10/5.35 ~spl0_87),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f12358])).
% 39.10/5.35 fof(f12361,plain,(
% 39.10/5.35 ~subset(empty_set,empty_set)|~spl0_126|spl0_83),
% 39.10/5.35 inference(backward_demodulation,[status(thm)],[f12300,f8490])).
% 39.10/5.35 fof(f12362,plain,(
% 39.10/5.35 $false|~spl0_126|spl0_83),
% 39.10/5.35 inference(forward_subsumption_resolution,[status(thm)],[f12361,f87])).
% 39.10/5.35 fof(f12363,plain,(
% 39.10/5.35 ~spl0_126|spl0_83),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f12362])).
% 39.10/5.35 fof(f12472,plain,(
% 39.10/5.35 $false|~spl0_125),
% 39.10/5.35 inference(backward_subsumption_resolution,[status(thm)],[f58,f12288])).
% 39.10/5.35 fof(f12473,plain,(
% 39.10/5.35 ~spl0_125),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f12472])).
% 39.10/5.35 fof(f12507,plain,(
% 39.10/5.35 in(sk0_2(empty_set,sk0_6,sk0_6),empty_set)|~in(sk0_2(empty_set,sk0_6,sk0_6),sk0_6)|spl0_126),
% 39.10/5.35 inference(resolution,[status(thm)],[f12301,f57])).
% 39.10/5.35 fof(f12508,plain,(
% 39.10/5.35 spl0_85|~spl0_86|spl0_126),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12507,f8496,f8499,f12299])).
% 39.10/5.35 fof(f12509,plain,(
% 39.10/5.35 in(sk0_2(empty_set,sk0_6,sk0_6),empty_set)|in(sk0_2(empty_set,sk0_6,sk0_6),sk0_6)|spl0_126),
% 39.10/5.35 inference(resolution,[status(thm)],[f12301,f56])).
% 39.10/5.35 fof(f12510,plain,(
% 39.10/5.35 spl0_85|spl0_86|spl0_126),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12509,f8496,f8499,f12299])).
% 39.10/5.35 fof(f12558,plain,(
% 39.10/5.35 in(sk0_2(empty_set,sk0_6,sk0_5),empty_set)|~in(sk0_2(empty_set,sk0_6,sk0_5),sk0_6)|spl0_88),
% 39.10/5.35 inference(resolution,[status(thm)],[f8755,f57])).
% 39.10/5.35 fof(f12559,plain,(
% 39.10/5.35 spl0_78|~spl0_80|spl0_88),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12558,f8420,f8428,f8753])).
% 39.10/5.35 fof(f12560,plain,(
% 39.10/5.35 in(sk0_2(empty_set,sk0_6,sk0_5),empty_set)|in(sk0_2(empty_set,sk0_6,sk0_5),sk0_5)|spl0_88),
% 39.10/5.35 inference(resolution,[status(thm)],[f8755,f56])).
% 39.10/5.35 fof(f12561,plain,(
% 39.10/5.35 spl0_78|spl0_79|spl0_88),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12560,f8420,f8423,f8753])).
% 39.10/5.35 fof(f12571,plain,(
% 39.10/5.35 in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),empty_set)|~spl0_88|~spl0_67),
% 39.10/5.35 inference(backward_demodulation,[status(thm)],[f8754,f7889])).
% 39.10/5.35 fof(f12572,plain,(
% 39.10/5.35 $false|~spl0_88|~spl0_67),
% 39.10/5.35 inference(forward_subsumption_resolution,[status(thm)],[f12571,f685])).
% 39.10/5.35 fof(f12573,plain,(
% 39.10/5.35 ~spl0_88|~spl0_67),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f12572])).
% 39.10/5.35 fof(f12574,plain,(
% 39.10/5.35 set_difference(sk0_5,sk0_6)=empty_set|~spl0_48|~spl0_126),
% 39.10/5.35 inference(forward_demodulation,[status(thm)],[f5269,f12300])).
% 39.10/5.35 fof(f12598,plain,(
% 39.10/5.35 in(sk0_0(sk0_6,sk0_6,sk0_5),sk0_6)|in(sk0_0(sk0_6,sk0_6,sk0_5),sk0_5)|in(sk0_0(sk0_6,sk0_6,sk0_5),sk0_6)|spl0_11),
% 39.10/5.35 inference(resolution,[status(thm)],[f4550,f41])).
% 39.10/5.35 fof(f12599,plain,(
% 39.10/5.35 spl0_12|spl0_10|spl0_11),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12598,f4553,f4545,f4548])).
% 39.10/5.35 fof(f12600,plain,(
% 39.10/5.35 ~in(sk0_0(sk0_6,sk0_6,sk0_5),sk0_6)|~in(sk0_0(sk0_6,sk0_6,sk0_5),sk0_6)|spl0_11),
% 39.10/5.35 inference(resolution,[status(thm)],[f4550,f40])).
% 39.10/5.35 fof(f12601,plain,(
% 39.10/5.35 ~spl0_12|spl0_11),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12600,f4553,f4548])).
% 39.10/5.35 fof(f12604,plain,(
% 39.10/5.35 spl0_134 <=> subset(sk0_6,set_union2(sk0_5,sk0_6))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f12607,plain,(
% 39.10/5.35 spl0_135 <=> subset(set_union2(sk0_5,sk0_6),sk0_6)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f12610,plain,(
% 39.10/5.35 ~subset(sk0_6,set_union2(sk0_5,sk0_6))|~subset(set_union2(sk0_5,sk0_6),sk0_6)|spl0_11),
% 39.10/5.35 inference(resolution,[status(thm)],[f4550,f32])).
% 39.10/5.35 fof(f12611,plain,(
% 39.10/5.35 ~spl0_134|~spl0_135|spl0_11),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12610,f12604,f12607,f4548])).
% 39.10/5.35 fof(f12618,plain,(
% 39.10/5.35 ~empty_set=empty_set|~spl0_48|~spl0_126|spl0_88),
% 39.10/5.35 inference(forward_demodulation,[status(thm)],[f12574,f8755])).
% 39.10/5.35 fof(f12619,plain,(
% 39.10/5.35 $false|~spl0_48|~spl0_126|spl0_88),
% 39.10/5.35 inference(trivial_equality_resolution,[status(esa)],[f12618])).
% 39.10/5.35 fof(f12620,plain,(
% 39.10/5.35 ~spl0_48|~spl0_126|spl0_88),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f12619])).
% 39.10/5.35 fof(f12677,plain,(
% 39.10/5.35 spl0_138 <=> in(sk0_2(empty_set,sk0_6,set_union2(sk0_5,sk0_6)),empty_set)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f12678,plain,(
% 39.10/5.35 in(sk0_2(empty_set,sk0_6,set_union2(sk0_5,sk0_6)),empty_set)|~spl0_138),
% 39.10/5.35 inference(component_clause,[status(thm)],[f12677])).
% 39.10/5.35 fof(f12701,plain,(
% 39.10/5.35 $false|~spl0_138),
% 39.10/5.35 inference(forward_subsumption_resolution,[status(thm)],[f12678,f685])).
% 39.10/5.35 fof(f12702,plain,(
% 39.10/5.35 ~spl0_138),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f12701])).
% 39.10/5.35 fof(f12906,plain,(
% 39.10/5.35 spl0_143 <=> sk0_6=sk0_5),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f12907,plain,(
% 39.10/5.35 sk0_6=sk0_5|~spl0_143),
% 39.10/5.35 inference(component_clause,[status(thm)],[f12906])).
% 39.10/5.35 fof(f12908,plain,(
% 39.10/5.35 ~sk0_6=sk0_5|spl0_143),
% 39.10/5.35 inference(component_clause,[status(thm)],[f12906])).
% 39.10/5.35 fof(f12909,plain,(
% 39.10/5.35 sk0_6=sk0_5|~subset(sk0_6,sk0_5)|~spl0_70),
% 39.10/5.35 inference(resolution,[status(thm)],[f8309,f32])).
% 39.10/5.35 fof(f12910,plain,(
% 39.10/5.35 spl0_143|~spl0_71|~spl0_70),
% 39.10/5.35 inference(split_clause,[status(thm)],[f12909,f12906,f8311,f8308])).
% 39.10/5.35 fof(f12919,plain,(
% 39.10/5.35 ~sk0_6=set_union2(sk0_5,sk0_5)|~spl0_143|spl0_11),
% 39.10/5.35 inference(backward_demodulation,[status(thm)],[f12907,f4550])).
% 39.10/5.35 fof(f12920,plain,(
% 39.10/5.35 ~sk0_5=set_union2(sk0_5,sk0_5)|~spl0_143|spl0_11),
% 39.10/5.35 inference(forward_demodulation,[status(thm)],[f12907,f12919])).
% 39.10/5.35 fof(f12921,plain,(
% 39.10/5.35 ~sk0_5=sk0_5|~spl0_143|spl0_11),
% 39.10/5.35 inference(forward_demodulation,[status(thm)],[f66,f12920])).
% 39.10/5.35 fof(f12922,plain,(
% 39.10/5.35 $false|~spl0_143|spl0_11),
% 39.10/5.35 inference(trivial_equality_resolution,[status(esa)],[f12921])).
% 39.10/5.35 fof(f12923,plain,(
% 39.10/5.35 ~spl0_143|spl0_11),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f12922])).
% 39.10/5.35 fof(f13357,plain,(
% 39.10/5.35 ![X0]: (~set_difference(set_difference(empty_set,X0),sk0_6)=set_difference(sk0_5,sk0_6)|~subset(set_union2(sk0_5,sk0_6),sk0_0(set_union2(sk0_5,sk0_6),set_difference(empty_set,X0),set_difference(empty_set,X0))))),
% 39.10/5.35 inference(resolution,[status(thm)],[f9439,f3863])).
% 39.10/5.35 fof(f13359,plain,(
% 39.10/5.35 ![X0]: (~set_difference(set_difference(empty_set,X0),sk0_6)=set_difference(sk0_5,sk0_6)|~in(set_union2(sk0_5,sk0_6),sk0_0(set_union2(sk0_5,sk0_6),set_difference(empty_set,X0),set_difference(empty_set,X0))))),
% 39.10/5.35 inference(resolution,[status(thm)],[f9439,f26])).
% 39.10/5.35 fof(f13378,plain,(
% 39.10/5.35 spl0_149 <=> in(sk0_0(set_union2(sk0_5,sk0_6),set_difference(empty_set,empty_set),set_difference(empty_set,empty_set)),set_union2(sk0_5,sk0_6))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f13381,plain,(
% 39.10/5.35 ~set_difference(empty_set,sk0_6)=set_difference(sk0_5,sk0_6)|in(sk0_0(set_union2(sk0_5,sk0_6),set_difference(empty_set,empty_set),set_difference(empty_set,empty_set)),set_union2(sk0_5,sk0_6))),
% 39.10/5.35 inference(paramodulation,[status(thm)],[f74,f9439])).
% 39.10/5.35 fof(f13382,plain,(
% 39.10/5.35 ~spl0_49|spl0_149),
% 39.10/5.35 inference(split_clause,[status(thm)],[f13381,f5283,f13378])).
% 39.10/5.35 fof(f13417,plain,(
% 39.10/5.35 $false|~spl0_127),
% 39.10/5.35 inference(forward_subsumption_resolution,[status(thm)],[f12315,f705])).
% 39.10/5.35 fof(f13418,plain,(
% 39.10/5.35 ~spl0_127),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f13417])).
% 39.10/5.35 fof(f13444,plain,(
% 39.10/5.35 spl0_153 <=> subset(set_union2(sk0_5,sk0_6),sk0_0(set_union2(sk0_5,sk0_6),set_difference(empty_set,empty_set),set_difference(empty_set,empty_set)))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f13447,plain,(
% 39.10/5.35 ~set_difference(empty_set,sk0_6)=set_difference(sk0_5,sk0_6)|~subset(set_union2(sk0_5,sk0_6),sk0_0(set_union2(sk0_5,sk0_6),set_difference(empty_set,empty_set),set_difference(empty_set,empty_set)))),
% 39.10/5.35 inference(paramodulation,[status(thm)],[f74,f13357])).
% 39.10/5.35 fof(f13448,plain,(
% 39.10/5.35 ~spl0_49|~spl0_153),
% 39.10/5.35 inference(split_clause,[status(thm)],[f13447,f5283,f13444])).
% 39.10/5.35 fof(f13561,plain,(
% 39.10/5.35 spl0_156 <=> in(set_union2(sk0_5,sk0_6),sk0_0(set_union2(sk0_5,sk0_6),set_difference(empty_set,empty_set),set_difference(empty_set,empty_set)))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f13564,plain,(
% 39.10/5.35 ~set_difference(empty_set,sk0_6)=set_difference(sk0_5,sk0_6)|~in(set_union2(sk0_5,sk0_6),sk0_0(set_union2(sk0_5,sk0_6),set_difference(empty_set,empty_set),set_difference(empty_set,empty_set)))),
% 39.10/5.35 inference(paramodulation,[status(thm)],[f74,f13359])).
% 39.10/5.35 fof(f13565,plain,(
% 39.10/5.35 ~spl0_49|~spl0_156),
% 39.10/5.35 inference(split_clause,[status(thm)],[f13564,f5283,f13561])).
% 39.10/5.35 fof(f13609,plain,(
% 39.10/5.35 spl0_160 <=> in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),sk0_5)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f14116,plain,(
% 39.10/5.35 in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),set_union2(sk0_5,sk0_6))),
% 39.10/5.35 inference(backward_subsumption_resolution,[status(thm)],[f8211,f135])).
% 39.10/5.35 fof(f16643,plain,(
% 39.10/5.35 spl0_239 <=> subset(sk0_5,sk0_5)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f16645,plain,(
% 39.10/5.35 ~subset(sk0_5,sk0_5)|spl0_239),
% 39.10/5.35 inference(component_clause,[status(thm)],[f16643])).
% 39.10/5.35 fof(f16773,plain,(
% 39.10/5.35 $false|spl0_239),
% 39.10/5.35 inference(forward_subsumption_resolution,[status(thm)],[f16645,f87])).
% 39.10/5.35 fof(f16774,plain,(
% 39.10/5.35 spl0_239),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f16773])).
% 39.10/5.35 fof(f16834,plain,(
% 39.10/5.35 set_difference(sk0_5,sk0_6)=set_difference(set_union2(sk0_5,sk0_6),sk0_6)|~in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),set_difference(sk0_5,sk0_6))|in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),sk0_6)),
% 39.10/5.35 inference(resolution,[status(thm)],[f14116,f55])).
% 39.10/5.35 fof(f16835,plain,(
% 39.10/5.35 spl0_87|~spl0_67|spl0_69),
% 39.10/5.35 inference(split_clause,[status(thm)],[f16834,f8619,f7888,f7894])).
% 39.10/5.35 fof(f16844,plain,(
% 39.10/5.35 in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),sk0_5)|in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),sk0_6)),
% 39.10/5.35 inference(resolution,[status(thm)],[f14116,f89])).
% 39.10/5.35 fof(f16845,plain,(
% 39.10/5.35 spl0_160|spl0_69),
% 39.10/5.35 inference(split_clause,[status(thm)],[f16844,f13609,f7894])).
% 39.10/5.35 fof(f17049,plain,(
% 39.10/5.35 spl0_252 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),sk0_5)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f17052,plain,(
% 39.10/5.35 ~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),sk0_5)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),sk0_6)),
% 39.10/5.35 inference(resolution,[status(thm)],[f5256,f133])).
% 39.10/5.35 fof(f17053,plain,(
% 39.10/5.35 ~spl0_59|spl0_252|spl0_32),
% 39.10/5.35 inference(split_clause,[status(thm)],[f17052,f5512,f17049,f5029])).
% 39.10/5.35 fof(f17065,plain,(
% 39.10/5.35 spl0_255 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(set_union2(sk0_5,sk0_6),X0))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f17068,plain,(
% 39.10/5.35 ![X0]: (~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(set_union2(sk0_5,sk0_6),X0)))),
% 39.10/5.35 inference(resolution,[status(thm)],[f5256,f135])).
% 39.10/5.35 fof(f17069,plain,(
% 39.10/5.35 ~spl0_59|spl0_255),
% 39.10/5.35 inference(split_clause,[status(thm)],[f17068,f5512,f17065])).
% 39.10/5.35 fof(f17071,plain,(
% 39.10/5.35 spl0_256 <=> in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(X0,set_union2(sk0_5,sk0_6)))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f17074,plain,(
% 39.10/5.35 ![X0]: (~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(X0,set_union2(sk0_5,sk0_6))))),
% 39.10/5.35 inference(resolution,[status(thm)],[f5256,f134])).
% 39.10/5.35 fof(f17075,plain,(
% 39.10/5.35 ~spl0_59|spl0_256),
% 39.10/5.35 inference(split_clause,[status(thm)],[f17074,f5512,f17071])).
% 39.10/5.35 fof(f17104,plain,(
% 39.10/5.35 spl0_260 <=> ~in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(set_difference(X0,set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X1))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f17107,plain,(
% 39.10/5.35 ![X0,X1]: (~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)|~in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(set_difference(X0,set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X1)))),
% 39.10/5.35 inference(resolution,[status(thm)],[f5256,f136])).
% 39.10/5.35 fof(f17108,plain,(
% 39.10/5.35 ~spl0_59|spl0_260),
% 39.10/5.35 inference(split_clause,[status(thm)],[f17107,f5512,f17104])).
% 39.10/5.35 fof(f17428,plain,(
% 39.10/5.35 spl0_265 <=> ~in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(X0,set_difference(X1,set_difference(set_union2(sk0_5,sk0_6),sk0_6))))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X0)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f17431,plain,(
% 39.10/5.35 ![X0,X1]: (~in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(X0,set_difference(X1,set_difference(set_union2(sk0_5,sk0_6),sk0_6))))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X0)|~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6))),
% 39.10/5.35 inference(resolution,[status(thm)],[f139,f5256])).
% 39.10/5.35 fof(f17432,plain,(
% 39.10/5.35 spl0_265|~spl0_59),
% 39.10/5.35 inference(split_clause,[status(thm)],[f17431,f17428,f5512])).
% 39.10/5.35 fof(f17809,plain,(
% 39.10/5.35 spl0_269 <=> ~in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(set_difference(X0,set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X1))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X1)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f17812,plain,(
% 39.10/5.35 ![X0,X1]: (~in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_union2(set_difference(X0,set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X1))|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),X1)|~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6))),
% 39.10/5.35 inference(resolution,[status(thm)],[f142,f5256])).
% 39.10/5.35 fof(f17813,plain,(
% 39.10/5.35 spl0_269|~spl0_59),
% 39.10/5.35 inference(split_clause,[status(thm)],[f17812,f17809,f5512])).
% 39.10/5.35 fof(f18218,plain,(
% 39.10/5.35 spl0_274 <=> empty_set=empty_set),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f18220,plain,(
% 39.10/5.35 ~empty_set=empty_set|spl0_274),
% 39.10/5.35 inference(component_clause,[status(thm)],[f18218])).
% 39.10/5.35 fof(f18249,plain,(
% 39.10/5.35 $false|spl0_274),
% 39.10/5.35 inference(trivial_equality_resolution,[status(esa)],[f18220])).
% 39.10/5.35 fof(f18250,plain,(
% 39.10/5.35 spl0_274),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f18249])).
% 39.10/5.35 fof(f18265,plain,(
% 39.10/5.35 spl0_276 <=> empty(set_difference(set_union2(sk0_5,sk0_6),sk0_6))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f18268,plain,(
% 39.10/5.35 ~empty(set_difference(set_union2(sk0_5,sk0_6),sk0_6))|~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6)),
% 39.10/5.35 inference(resolution,[status(thm)],[f83,f5256])).
% 39.10/5.35 fof(f18269,plain,(
% 39.10/5.35 ~spl0_276|~spl0_59),
% 39.10/5.35 inference(split_clause,[status(thm)],[f18268,f18265,f5512])).
% 39.10/5.35 fof(f18270,plain,(
% 39.10/5.35 spl0_277 <=> ~set_union2(X0,X1)=set_difference(sk0_5,sk0_6)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X1,X0),X0)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X1,X0),X1)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f18273,plain,(
% 39.10/5.35 ![X0,X1]: (~empty(set_difference(set_union2(sk0_5,sk0_6),sk0_6))|~set_union2(X0,X1)=set_difference(sk0_5,sk0_6)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X1,X0),X0)|in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X1,X0),X1))),
% 39.10/5.35 inference(resolution,[status(thm)],[f83,f5256])).
% 39.10/5.35 fof(f18274,plain,(
% 39.10/5.35 ~spl0_276|spl0_277),
% 39.10/5.35 inference(split_clause,[status(thm)],[f18273,f18265,f18270])).
% 39.10/5.35 fof(f18281,plain,(
% 39.10/5.35 spl0_278 <=> empty(set_union2(sk0_5,sk0_6))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f18297,plain,(
% 39.10/5.35 spl0_280 <=> empty(sk0_6)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f18307,plain,(
% 39.10/5.35 spl0_282 <=> empty(sk0_5)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f19122,plain,(
% 39.10/5.35 spl0_304 <=> set_union2(empty_set,empty_set)=empty_set),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f19124,plain,(
% 39.10/5.35 ~set_union2(empty_set,empty_set)=empty_set|spl0_304),
% 39.10/5.35 inference(component_clause,[status(thm)],[f19122])).
% 39.10/5.35 fof(f19409,plain,(
% 39.10/5.35 ~empty_set=empty_set|spl0_304),
% 39.10/5.35 inference(forward_demodulation,[status(thm)],[f395,f19124])).
% 39.10/5.35 fof(f19410,plain,(
% 39.10/5.35 $false|spl0_304),
% 39.10/5.35 inference(trivial_equality_resolution,[status(esa)],[f19409])).
% 39.10/5.35 fof(f19411,plain,(
% 39.10/5.35 spl0_304),
% 39.10/5.35 inference(contradiction_clause,[status(thm)],[f19410])).
% 39.10/5.35 fof(f20955,plain,(
% 39.10/5.35 spl0_334 <=> ~set_difference(X0,sk0_6)=set_difference(sk0_5,sk0_6)|in(sk0_0(X0,sk0_6,sk0_5),X0)|in(sk0_0(X0,sk0_6,sk0_5),sk0_6)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f20958,plain,(
% 39.10/5.35 ![X0]: (~set_difference(X0,sk0_6)=set_difference(sk0_5,sk0_6)|in(sk0_0(X0,sk0_6,sk0_5),X0)|in(sk0_0(X0,sk0_6,sk0_5),sk0_6)|~empty(sk0_5))),
% 39.10/5.35 inference(resolution,[status(thm)],[f3686,f83])).
% 39.10/5.35 fof(f20959,plain,(
% 39.10/5.35 spl0_334|~spl0_282),
% 39.10/5.35 inference(split_clause,[status(thm)],[f20958,f20955,f18307])).
% 39.10/5.35 fof(f21002,plain,(
% 39.10/5.35 spl0_336 <=> ~set_difference(X0,sk0_6)=set_difference(sk0_5,sk0_6)|in(sk0_0(X0,sk0_6,sk0_5),X0)|in(sk0_0(X0,sk0_6,sk0_5),sk0_5)),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f21005,plain,(
% 39.10/5.35 ![X0]: (~set_difference(X0,sk0_6)=set_difference(sk0_5,sk0_6)|in(sk0_0(X0,sk0_6,sk0_5),X0)|in(sk0_0(X0,sk0_6,sk0_5),sk0_5)|~empty(sk0_6))),
% 39.10/5.35 inference(resolution,[status(thm)],[f3686,f83])).
% 39.10/5.35 fof(f21006,plain,(
% 39.10/5.35 spl0_336|~spl0_280),
% 39.10/5.35 inference(split_clause,[status(thm)],[f21005,f21002,f18297])).
% 39.10/5.35 fof(f21156,plain,(
% 39.10/5.35 spl0_337 <=> ~in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(X0,set_union2(X1,set_difference(set_union2(sk0_5,sk0_6),sk0_6))))),
% 39.10/5.35 introduced(split_symbol_definition)).
% 39.10/5.35 fof(f21162,plain,(
% 39.10/5.35 ![X0,X1]: (~in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(X0,set_union2(X1,set_difference(set_union2(sk0_5,sk0_6),sk0_6))))|~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6))),
% 39.10/5.35 inference(resolution,[status(thm)],[f143,f5256])).
% 39.10/5.35 fof(f21163,plain,(
% 39.10/5.35 spl0_337|~spl0_59),
% 39.10/5.35 inference(split_clause,[status(thm)],[f21162,f21156,f5512])).
% 39.10/5.35 fof(f21422,plain,(
% 39.10/5.35 spl0_341 <=> ~in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(X0,set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X1)))),
% 39.79/5.38 introduced(split_symbol_definition)).
% 39.79/5.38 fof(f21428,plain,(
% 39.79/5.38 ![X0,X1]: (~in(sk0_0(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6)),set_difference(X0,set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),X1)))|~set_union2(set_difference(set_union2(sk0_5,sk0_6),sk0_6),set_difference(set_union2(sk0_5,sk0_6),sk0_6))=set_difference(sk0_5,sk0_6))),
% 39.79/5.38 inference(resolution,[status(thm)],[f144,f5256])).
% 39.79/5.38 fof(f21429,plain,(
% 39.79/5.38 spl0_341|~spl0_59),
% 39.79/5.38 inference(split_clause,[status(thm)],[f21428,f21422,f5512])).
% 39.79/5.38 fof(f21722,plain,(
% 39.79/5.38 spl0_346 <=> empty(set_difference(sk0_5,sk0_6))),
% 39.79/5.38 introduced(split_symbol_definition)).
% 39.79/5.38 fof(f21748,plain,(
% 39.79/5.38 ~empty(sk0_6)|~empty(sk0_5)|spl0_143),
% 39.79/5.38 inference(resolution,[status(thm)],[f86,f12908])).
% 39.79/5.38 fof(f21749,plain,(
% 39.79/5.38 ~spl0_280|~spl0_282|spl0_143),
% 39.79/5.38 inference(split_clause,[status(thm)],[f21748,f18297,f18307,f12906])).
% 39.79/5.38 fof(f21775,plain,(
% 39.79/5.38 ~spl0_69|~spl0_67),
% 39.79/5.38 inference(split_clause,[status(thm)],[f8624,f7894,f7888])).
% 39.79/5.38 fof(f21800,plain,(
% 39.79/5.38 ~empty(sk0_5)|~empty(sk0_6)|~spl0_11|spl0_14),
% 39.79/5.38 inference(resolution,[status(thm)],[f8251,f86])).
% 39.79/5.38 fof(f21801,plain,(
% 39.79/5.38 ~spl0_282|~spl0_280|~spl0_11|spl0_14),
% 39.79/5.38 inference(split_clause,[status(thm)],[f21800,f18307,f18297,f4548,f4561])).
% 39.79/5.38 fof(f21822,plain,(
% 39.79/5.38 in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),sk0_6)|~spl0_11),
% 39.79/5.38 inference(backward_demodulation,[status(thm)],[f4549,f14116])).
% 39.79/5.38 fof(f21823,plain,(
% 39.79/5.38 spl0_69|~spl0_11),
% 39.79/5.38 inference(split_clause,[status(thm)],[f21822,f7894,f4548])).
% 39.79/5.38 fof(f21832,plain,(
% 39.79/5.38 empty(sk0_5)|~empty(sk0_6)|~spl0_11),
% 39.79/5.38 inference(paramodulation,[status(thm)],[f4549,f61])).
% 39.79/5.38 fof(f21833,plain,(
% 39.79/5.38 spl0_282|~spl0_280|~spl0_11),
% 39.79/5.38 inference(split_clause,[status(thm)],[f21832,f18307,f18297,f4548])).
% 39.79/5.38 fof(f22122,plain,(
% 39.79/5.38 ~empty(sk0_5)|~empty(set_union2(sk0_5,sk0_6))|spl0_14),
% 39.79/5.38 inference(resolution,[status(thm)],[f4563,f86])).
% 39.79/5.38 fof(f22123,plain,(
% 39.79/5.38 ~spl0_282|~spl0_278|spl0_14),
% 39.79/5.38 inference(split_clause,[status(thm)],[f22122,f18307,f18281,f4561])).
% 39.79/5.38 fof(f22146,plain,(
% 39.79/5.38 ~empty(empty_set)|~empty(set_difference(sk0_5,sk0_6))|spl0_60),
% 39.79/5.38 inference(resolution,[status(thm)],[f5720,f86])).
% 39.79/5.38 fof(f22147,plain,(
% 39.79/5.38 ~spl0_124|~spl0_346|spl0_60),
% 39.79/5.38 inference(split_clause,[status(thm)],[f22146,f12284,f21722,f5570])).
% 39.79/5.38 fof(f22192,plain,(
% 39.79/5.38 ~empty(sk0_6)|~empty(set_union2(sk0_5,sk0_6))|spl0_11),
% 39.79/5.38 inference(resolution,[status(thm)],[f4550,f86])).
% 39.79/5.38 fof(f22193,plain,(
% 39.79/5.38 ~spl0_280|~spl0_278|spl0_11),
% 39.79/5.38 inference(split_clause,[status(thm)],[f22192,f18297,f18281,f4548])).
% 39.79/5.38 fof(f22388,plain,(
% 39.79/5.38 ~in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),sk0_5)|in(sk0_2(set_difference(sk0_5,sk0_6),sk0_6,set_union2(sk0_5,sk0_6)),sk0_6)|spl0_67),
% 39.79/5.38 inference(resolution,[status(thm)],[f7890,f94])).
% 39.79/5.38 fof(f22389,plain,(
% 39.79/5.38 ~spl0_160|spl0_69|spl0_67),
% 39.79/5.38 inference(split_clause,[status(thm)],[f22388,f13609,f7894,f7888])).
% 39.79/5.38 fof(f22459,plain,(
% 39.79/5.38 $false),
% 39.79/5.38 inference(sat_refutation,[status(thm)],[f518,f3984,f4290,f4459,f4582,f4791,f4797,f4805,f4987,f5022,f5033,f5039,f5045,f5051,f5060,f5066,f5072,f5078,f5084,f5090,f5096,f5102,f5122,f5287,f5379,f5489,f5500,f5516,f5524,f5527,f5530,f5533,f5539,f5542,f5545,f5548,f5551,f5554,f5557,f5560,f5722,f5724,f5727,f5736,f5739,f8325,f8330,f8335,f8343,f8353,f8449,f8495,f8514,f8536,f8734,f8743,f8757,f8955,f9151,f9289,f12115,f12121,f12125,f12291,f12321,f12326,f12333,f12341,f12346,f12348,f12357,f12359,f12363,f12473,f12508,f12510,f12559,f12561,f12573,f12599,f12601,f12611,f12620,f12702,f12910,f12923,f13382,f13418,f13448,f13565,f16774,f16835,f16845,f17053,f17069,f17075,f17108,f17432,f17813,f18250,f18269,f18274,f19411,f20959,f21006,f21163,f21429,f21749,f21775,f21801,f21823,f21833,f22123,f22147,f22193,f22389])).
% 39.79/5.38 % SZS output end CNFRefutation for theBenchmark.p
% 39.95/5.41 % Elapsed time: 5.051136 seconds
% 39.95/5.41 % CPU time: 39.935824 seconds
% 39.95/5.41 % Total memory used: 440.467 MB
% 39.95/5.41 % Net memory used: 431.288 MB
%------------------------------------------------------------------------------