TSTP Solution File: SET888+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET888+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:40:38 EDT 2024
% Result : Theorem 4.57s 0.95s
% Output : CNFRefutation 4.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET888+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 22:20:10 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 4.57/0.95 % Refutation found
% 4.57/0.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.57/0.95 % SZS output start CNFRefutation for theBenchmark
% 4.57/0.95 fof(f1,axiom,(
% 4.57/0.95 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 4.57/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.57/0.95 fof(f4,axiom,(
% 4.57/0.95 (! [A,B] : symmetric_difference(A,B) = symmetric_difference(B,A) )),
% 4.57/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.57/0.95 fof(f5,axiom,(
% 4.57/0.95 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 4.57/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.57/0.95 fof(f6,axiom,(
% 4.57/0.95 (! [A,B,C] :( C = unordered_pair(A,B)<=> (! [D] :( in(D,C)<=> ( D = A| D = B ) ) )) )),
% 4.57/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.57/0.95 fof(f13,axiom,(
% 4.57/0.95 (! [A,B,C] :( in(A,symmetric_difference(B,C))<=> ~ ( in(A,B)<=> in(A,C) ) ) )),
% 4.57/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.57/0.95 fof(f14,conjecture,(
% 4.57/0.95 (! [A,B] :( A != B=> symmetric_difference(singleton(A),singleton(B)) = unordered_pair(A,B) ) )),
% 4.57/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.57/0.95 fof(f15,negated_conjecture,(
% 4.57/0.95 ~((! [A,B] :( A != B=> symmetric_difference(singleton(A),singleton(B)) = unordered_pair(A,B) ) ))),
% 4.57/0.95 inference(negated_conjecture,[status(cth)],[f14])).
% 4.57/0.95 fof(f16,plain,(
% 4.57/0.95 ![A,B]: (~in(A,B)|~in(B,A))),
% 4.57/0.95 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 4.57/0.95 fof(f17,plain,(
% 4.57/0.95 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 4.57/0.95 inference(cnf_transformation,[status(esa)],[f16])).
% 4.57/0.95 fof(f20,plain,(
% 4.57/0.95 ![X0,X1]: (symmetric_difference(X0,X1)=symmetric_difference(X1,X0))),
% 4.57/0.95 inference(cnf_transformation,[status(esa)],[f4])).
% 4.57/0.95 fof(f21,plain,(
% 4.57/0.95 ![A,B]: ((~B=singleton(A)|(![C]: ((~in(C,B)|C=A)&(in(C,B)|~C=A))))&(B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 4.57/0.95 inference(NNF_transformation,[status(esa)],[f5])).
% 4.57/0.95 fof(f22,plain,(
% 4.57/0.95 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 4.57/0.95 inference(miniscoping,[status(esa)],[f21])).
% 4.57/0.95 fof(f23,plain,(
% 4.57/0.95 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|((~in(sk0_0(B,A),B)|~sk0_0(B,A)=A)&(in(sk0_0(B,A),B)|sk0_0(B,A)=A))))),
% 4.57/0.95 inference(skolemization,[status(esa)],[f22])).
% 4.57/0.95 fof(f24,plain,(
% 4.57/0.95 ![X0,X1,X2]: (~X0=singleton(X1)|~in(X2,X0)|X2=X1)),
% 4.57/0.95 inference(cnf_transformation,[status(esa)],[f23])).
% 4.57/0.95 fof(f25,plain,(
% 4.57/0.95 ![X0,X1,X2]: (~X0=singleton(X1)|in(X2,X0)|~X2=X1)),
% 4.57/0.95 inference(cnf_transformation,[status(esa)],[f23])).
% 4.57/0.95 fof(f26,plain,(
% 4.57/0.95 ![X0,X1]: (X0=singleton(X1)|~in(sk0_0(X0,X1),X0)|~sk0_0(X0,X1)=X1)),
% 4.57/0.95 inference(cnf_transformation,[status(esa)],[f23])).
% 4.57/0.95 fof(f27,plain,(
% 4.57/0.95 ![X0,X1]: (X0=singleton(X1)|in(sk0_0(X0,X1),X0)|sk0_0(X0,X1)=X1)),
% 4.57/0.95 inference(cnf_transformation,[status(esa)],[f23])).
% 4.57/0.95 fof(f28,plain,(
% 4.57/0.95 ![A,B,C]: ((~C=unordered_pair(A,B)|(![D]: ((~in(D,C)|(D=A|D=B))&(in(D,C)|(~D=A&~D=B)))))&(C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 4.57/0.95 inference(NNF_transformation,[status(esa)],[f6])).
% 4.57/0.95 fof(f29,plain,(
% 4.57/0.95 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 4.57/0.95 inference(miniscoping,[status(esa)],[f28])).
% 4.57/0.95 fof(f30,plain,(
% 4.57/0.95 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|((~in(sk0_1(C,B,A),C)|(~sk0_1(C,B,A)=A&~sk0_1(C,B,A)=B))&(in(sk0_1(C,B,A),C)|(sk0_1(C,B,A)=A|sk0_1(C,B,A)=B)))))),
% 4.57/0.95 inference(skolemization,[status(esa)],[f29])).
% 4.57/0.95 fof(f31,plain,(
% 4.57/0.95 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|~in(X3,X0)|X3=X1|X3=X2)),
% 4.57/0.95 inference(cnf_transformation,[status(esa)],[f30])).
% 4.57/0.95 fof(f33,plain,(
% 4.57/0.95 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X2)),
% 4.57/0.95 inference(cnf_transformation,[status(esa)],[f30])).
% 4.57/0.95 fof(f34,plain,(
% 4.57/0.95 ![X0,X1,X2]: (X0=unordered_pair(X1,X2)|~in(sk0_1(X0,X2,X1),X0)|~sk0_1(X0,X2,X1)=X1)),
% 4.57/0.95 inference(cnf_transformation,[status(esa)],[f30])).
% 4.57/0.95 fof(f35,plain,(
% 4.57/0.95 ![X0,X1,X2]: (X0=unordered_pair(X1,X2)|~in(sk0_1(X0,X2,X1),X0)|~sk0_1(X0,X2,X1)=X2)),
% 4.75/0.96 inference(cnf_transformation,[status(esa)],[f30])).
% 4.75/0.96 fof(f36,plain,(
% 4.75/0.96 ![X0,X1,X2]: (X0=unordered_pair(X1,X2)|in(sk0_1(X0,X2,X1),X0)|sk0_1(X0,X2,X1)=X1|sk0_1(X0,X2,X1)=X2)),
% 4.75/0.96 inference(cnf_transformation,[status(esa)],[f30])).
% 4.75/0.96 fof(f50,plain,(
% 4.75/0.96 ![A,B,C]: (in(A,symmetric_difference(B,C))<=>(in(A,B)<~>in(A,C)))),
% 4.75/0.96 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 4.75/0.96 fof(f51,plain,(
% 4.75/0.96 ![A,B,C]: ((~in(A,symmetric_difference(B,C))|((in(A,B)|in(A,C))&(~in(A,B)|~in(A,C))))&(in(A,symmetric_difference(B,C))|((~in(A,B)|in(A,C))&(in(A,B)|~in(A,C)))))),
% 4.75/0.96 inference(NNF_transformation,[status(esa)],[f50])).
% 4.75/0.96 fof(f52,plain,(
% 4.75/0.96 (![A,B,C]: (~in(A,symmetric_difference(B,C))|((in(A,B)|in(A,C))&(~in(A,B)|~in(A,C)))))&(![A,B,C]: (in(A,symmetric_difference(B,C))|((~in(A,B)|in(A,C))&(in(A,B)|~in(A,C)))))),
% 4.75/0.96 inference(miniscoping,[status(esa)],[f51])).
% 4.75/0.96 fof(f53,plain,(
% 4.75/0.96 ![X0,X1,X2]: (~in(X0,symmetric_difference(X1,X2))|in(X0,X1)|in(X0,X2))),
% 4.75/0.96 inference(cnf_transformation,[status(esa)],[f52])).
% 4.75/0.96 fof(f54,plain,(
% 4.75/0.96 ![X0,X1,X2]: (~in(X0,symmetric_difference(X1,X2))|~in(X0,X1)|~in(X0,X2))),
% 4.75/0.96 inference(cnf_transformation,[status(esa)],[f52])).
% 4.75/0.96 fof(f55,plain,(
% 4.75/0.96 ![X0,X1,X2]: (in(X0,symmetric_difference(X1,X2))|~in(X0,X1)|in(X0,X2))),
% 4.75/0.96 inference(cnf_transformation,[status(esa)],[f52])).
% 4.75/0.96 fof(f56,plain,(
% 4.75/0.96 ![X0,X1,X2]: (in(X0,symmetric_difference(X1,X2))|in(X0,X1)|~in(X0,X2))),
% 4.75/0.96 inference(cnf_transformation,[status(esa)],[f52])).
% 4.75/0.96 fof(f57,plain,(
% 4.75/0.96 (?[A,B]: (~A=B&~symmetric_difference(singleton(A),singleton(B))=unordered_pair(A,B)))),
% 4.75/0.96 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 4.75/0.96 fof(f58,plain,(
% 4.75/0.96 (~sk0_4=sk0_5&~symmetric_difference(singleton(sk0_4),singleton(sk0_5))=unordered_pair(sk0_4,sk0_5))),
% 4.75/0.96 inference(skolemization,[status(esa)],[f57])).
% 4.75/0.96 fof(f59,plain,(
% 4.75/0.96 ~sk0_4=sk0_5),
% 4.75/0.96 inference(cnf_transformation,[status(esa)],[f58])).
% 4.75/0.96 fof(f60,plain,(
% 4.75/0.96 ~symmetric_difference(singleton(sk0_4),singleton(sk0_5))=unordered_pair(sk0_4,sk0_5)),
% 4.75/0.96 inference(cnf_transformation,[status(esa)],[f58])).
% 4.75/0.96 fof(f61,plain,(
% 4.75/0.96 ![X0,X1]: (~in(X0,singleton(X1))|X0=X1)),
% 4.75/0.96 inference(destructive_equality_resolution,[status(esa)],[f24])).
% 4.75/0.96 fof(f62,plain,(
% 4.75/0.96 ![X0]: (in(X0,singleton(X0)))),
% 4.75/0.96 inference(destructive_equality_resolution,[status(esa)],[f25])).
% 4.75/0.96 fof(f63,plain,(
% 4.75/0.96 ![X0,X1,X2]: (~in(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 4.75/0.96 inference(destructive_equality_resolution,[status(esa)],[f31])).
% 4.75/0.96 fof(f65,plain,(
% 4.75/0.96 ![X0,X1]: (in(X0,unordered_pair(X1,X0)))),
% 4.75/0.96 inference(destructive_equality_resolution,[status(esa)],[f33])).
% 4.75/0.96 fof(f67,plain,(
% 4.75/0.96 ~in(sk0_4,singleton(sk0_5))),
% 4.75/0.96 inference(resolution,[status(thm)],[f61,f59])).
% 4.75/0.96 fof(f69,plain,(
% 4.75/0.96 ~in(sk0_5,singleton(sk0_4))),
% 4.75/0.96 inference(resolution,[status(thm)],[f61,f59])).
% 4.75/0.96 fof(f80,plain,(
% 4.75/0.96 ~in(sk0_5,unordered_pair(sk0_4,sk0_4))),
% 4.75/0.96 inference(resolution,[status(thm)],[f63,f59])).
% 4.75/0.96 fof(f105,plain,(
% 4.75/0.96 ![X0]: (~in(sk0_5,symmetric_difference(singleton(sk0_4),X0))|in(sk0_5,X0))),
% 4.75/0.96 inference(resolution,[status(thm)],[f53,f69])).
% 4.75/0.96 fof(f107,plain,(
% 4.75/0.96 ![X0]: (~in(sk0_4,symmetric_difference(singleton(sk0_5),X0))|in(sk0_4,X0))),
% 4.75/0.96 inference(resolution,[status(thm)],[f53,f67])).
% 4.75/0.96 fof(f116,plain,(
% 4.75/0.96 ![X0]: (~in(sk0_5,symmetric_difference(X0,singleton(sk0_4)))|in(sk0_5,X0))),
% 4.75/0.96 inference(resolution,[status(thm)],[f53,f69])).
% 4.75/0.96 fof(f117,plain,(
% 4.75/0.96 ![X0]: (~in(sk0_4,symmetric_difference(X0,singleton(sk0_5)))|in(sk0_4,X0))),
% 4.75/0.96 inference(resolution,[status(thm)],[f53,f67])).
% 4.75/0.96 fof(f134,plain,(
% 4.75/0.96 ![X0,X1]: (~in(X0,symmetric_difference(X1,X1))|~in(X0,symmetric_difference(X1,X1)))),
% 4.75/0.96 inference(resolution,[status(thm)],[f54,f53])).
% 4.75/0.96 fof(f135,plain,(
% 4.75/0.96 ![X0,X1]: (~in(X0,symmetric_difference(X1,X1)))),
% 4.75/0.96 inference(duplicate_literals_removal,[status(esa)],[f134])).
% 4.75/0.96 fof(f265,plain,(
% 4.75/0.96 spl0_1 <=> sk0_5=sk0_5),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f267,plain,(
% 4.75/0.96 ~sk0_5=sk0_5|spl0_1),
% 4.75/0.96 inference(component_clause,[status(thm)],[f265])).
% 4.75/0.96 fof(f411,plain,(
% 4.75/0.96 $false|spl0_1),
% 4.75/0.96 inference(trivial_equality_resolution,[status(esa)],[f267])).
% 4.75/0.96 fof(f412,plain,(
% 4.75/0.96 spl0_1),
% 4.75/0.96 inference(contradiction_clause,[status(thm)],[f411])).
% 4.75/0.96 fof(f503,plain,(
% 4.75/0.96 ~in(sk0_5,symmetric_difference(singleton(sk0_4),unordered_pair(sk0_4,sk0_4)))),
% 4.75/0.96 inference(resolution,[status(thm)],[f105,f80])).
% 4.75/0.96 fof(f507,plain,(
% 4.75/0.96 ![X0]: (~in(sk0_5,symmetric_difference(singleton(sk0_4),symmetric_difference(X0,X0))))),
% 4.75/0.96 inference(resolution,[status(thm)],[f105,f135])).
% 4.75/0.96 fof(f512,plain,(
% 4.75/0.96 ![X0]: (~in(sk0_5,symmetric_difference(singleton(sk0_4),singleton(X0)))|sk0_5=X0)),
% 4.75/0.96 inference(resolution,[status(thm)],[f105,f61])).
% 4.75/0.96 fof(f513,plain,(
% 4.75/0.96 ~in(sk0_5,symmetric_difference(singleton(sk0_4),sk0_5))),
% 4.75/0.96 inference(resolution,[status(thm)],[f105,f17])).
% 4.75/0.96 fof(f514,plain,(
% 4.75/0.96 ~in(sk0_5,symmetric_difference(sk0_5,singleton(sk0_4)))),
% 4.75/0.96 inference(forward_demodulation,[status(thm)],[f20,f513])).
% 4.75/0.96 fof(f515,plain,(
% 4.75/0.96 ![X0]: (~in(sk0_5,symmetric_difference(singleton(sk0_4),X0))|~in(X0,sk0_5))),
% 4.75/0.96 inference(resolution,[status(thm)],[f105,f17])).
% 4.75/0.96 fof(f556,plain,(
% 4.75/0.96 ![X0]: (~in(sk0_4,symmetric_difference(singleton(sk0_5),symmetric_difference(X0,X0))))),
% 4.75/0.96 inference(resolution,[status(thm)],[f107,f135])).
% 4.75/0.96 fof(f562,plain,(
% 4.75/0.96 ~in(sk0_4,symmetric_difference(singleton(sk0_5),sk0_4))),
% 4.75/0.96 inference(resolution,[status(thm)],[f107,f17])).
% 4.75/0.96 fof(f563,plain,(
% 4.75/0.96 ~in(sk0_4,symmetric_difference(sk0_4,singleton(sk0_5)))),
% 4.75/0.96 inference(forward_demodulation,[status(thm)],[f20,f562])).
% 4.75/0.96 fof(f785,plain,(
% 4.75/0.96 spl0_7 <=> in(sk0_5,symmetric_difference(singleton(sk0_4),sk0_4))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f788,plain,(
% 4.75/0.96 spl0_8 <=> in(sk0_4,symmetric_difference(sk0_5,singleton(sk0_5)))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f790,plain,(
% 4.75/0.96 ~in(sk0_4,symmetric_difference(sk0_5,singleton(sk0_5)))|spl0_8),
% 4.75/0.96 inference(component_clause,[status(thm)],[f788])).
% 4.75/0.96 fof(f791,plain,(
% 4.75/0.96 ~in(sk0_5,symmetric_difference(singleton(sk0_4),sk0_4))|~in(sk0_4,symmetric_difference(sk0_5,singleton(sk0_5)))),
% 4.75/0.96 inference(resolution,[status(thm)],[f515,f117])).
% 4.75/0.96 fof(f792,plain,(
% 4.75/0.96 ~spl0_7|~spl0_8),
% 4.75/0.96 inference(split_clause,[status(thm)],[f791,f785,f788])).
% 4.75/0.96 fof(f793,plain,(
% 4.75/0.96 spl0_9 <=> in(sk0_4,symmetric_difference(singleton(sk0_5),sk0_5))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f795,plain,(
% 4.75/0.96 ~in(sk0_4,symmetric_difference(singleton(sk0_5),sk0_5))|spl0_9),
% 4.75/0.96 inference(component_clause,[status(thm)],[f793])).
% 4.75/0.96 fof(f796,plain,(
% 4.75/0.96 ~in(sk0_5,symmetric_difference(singleton(sk0_4),sk0_4))|~in(sk0_4,symmetric_difference(singleton(sk0_5),sk0_5))),
% 4.75/0.96 inference(resolution,[status(thm)],[f515,f107])).
% 4.75/0.96 fof(f797,plain,(
% 4.75/0.96 ~spl0_7|~spl0_9),
% 4.75/0.96 inference(split_clause,[status(thm)],[f796,f785,f793])).
% 4.75/0.96 fof(f798,plain,(
% 4.75/0.96 spl0_10 <=> in(sk0_5,symmetric_difference(singleton(sk0_4),sk0_5))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f806,plain,(
% 4.75/0.96 ~in(sk0_5,symmetric_difference(singleton(sk0_4),sk0_5))|~in(sk0_5,symmetric_difference(singleton(sk0_4),sk0_5))),
% 4.75/0.96 inference(resolution,[status(thm)],[f515,f105])).
% 4.75/0.96 fof(f807,plain,(
% 4.75/0.96 ~spl0_10),
% 4.75/0.96 inference(split_clause,[status(thm)],[f806,f798])).
% 4.75/0.96 fof(f811,plain,(
% 4.75/0.96 spl0_13 <=> symmetric_difference(singleton(sk0_4),sk0_5)=unordered_pair(sk0_4,sk0_5)),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f812,plain,(
% 4.75/0.96 symmetric_difference(singleton(sk0_4),sk0_5)=unordered_pair(sk0_4,sk0_5)|~spl0_13),
% 4.75/0.96 inference(component_clause,[status(thm)],[f811])).
% 4.75/0.96 fof(f813,plain,(
% 4.75/0.96 ~symmetric_difference(singleton(sk0_4),sk0_5)=unordered_pair(sk0_4,sk0_5)|spl0_13),
% 4.75/0.96 inference(component_clause,[status(thm)],[f811])).
% 4.75/0.96 fof(f814,plain,(
% 4.75/0.96 spl0_14 <=> sk0_0(sk0_5,sk0_5)=sk0_5),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f815,plain,(
% 4.75/0.96 sk0_0(sk0_5,sk0_5)=sk0_5|~spl0_14),
% 4.75/0.96 inference(component_clause,[status(thm)],[f814])).
% 4.75/0.96 fof(f829,plain,(
% 4.75/0.96 ~in(sk0_4,symmetric_difference(sk0_5,singleton(sk0_5)))|spl0_9),
% 4.75/0.96 inference(forward_demodulation,[status(thm)],[f20,f795])).
% 4.75/0.96 fof(f830,plain,(
% 4.75/0.96 ~symmetric_difference(sk0_5,singleton(sk0_4))=unordered_pair(sk0_4,sk0_5)|spl0_13),
% 4.75/0.96 inference(forward_demodulation,[status(thm)],[f20,f813])).
% 4.75/0.96 fof(f859,plain,(
% 4.75/0.96 spl0_15 <=> in(sk0_5,sk0_5)),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f862,plain,(
% 4.75/0.96 spl0_16 <=> in(sk0_5,singleton(sk0_4))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f865,plain,(
% 4.75/0.96 ~in(sk0_5,sk0_5)|in(sk0_5,singleton(sk0_4))),
% 4.75/0.96 inference(resolution,[status(thm)],[f55,f514])).
% 4.75/0.96 fof(f866,plain,(
% 4.75/0.96 ~spl0_15|spl0_16),
% 4.75/0.96 inference(split_clause,[status(thm)],[f865,f859,f862])).
% 4.75/0.96 fof(f867,plain,(
% 4.75/0.96 spl0_17 <=> in(sk0_5,singleton(X0))|sk0_5=X0),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f868,plain,(
% 4.75/0.96 ![X0]: (in(sk0_5,singleton(X0))|sk0_5=X0|~spl0_17)),
% 4.75/0.96 inference(component_clause,[status(thm)],[f867])).
% 4.75/0.96 fof(f872,plain,(
% 4.75/0.96 spl0_18 <=> in(sk0_5,unordered_pair(sk0_4,sk0_4))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f877,plain,(
% 4.75/0.96 spl0_19 <=> in(sk0_5,symmetric_difference(X0,X0))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f878,plain,(
% 4.75/0.96 ![X0]: (in(sk0_5,symmetric_difference(X0,X0))|~spl0_19)),
% 4.75/0.96 inference(component_clause,[status(thm)],[f877])).
% 4.75/0.96 fof(f880,plain,(
% 4.75/0.96 ![X0]: (~in(sk0_5,singleton(sk0_4))|in(sk0_5,symmetric_difference(X0,X0)))),
% 4.75/0.96 inference(resolution,[status(thm)],[f55,f507])).
% 4.75/0.96 fof(f881,plain,(
% 4.75/0.96 ~spl0_16|spl0_19),
% 4.75/0.96 inference(split_clause,[status(thm)],[f880,f862,f877])).
% 4.75/0.96 fof(f892,plain,(
% 4.75/0.96 spl0_22 <=> ~in(sk0_5,X0)|in(sk0_5,X0)),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f895,plain,(
% 4.75/0.96 ![X0]: (~in(sk0_5,X0)|in(sk0_5,singleton(sk0_4))|in(sk0_5,X0))),
% 4.75/0.96 inference(resolution,[status(thm)],[f55,f116])).
% 4.75/0.96 fof(f896,plain,(
% 4.75/0.96 spl0_22|spl0_16),
% 4.75/0.96 inference(split_clause,[status(thm)],[f895,f892,f862])).
% 4.75/0.96 fof(f897,plain,(
% 4.75/0.96 spl0_23 <=> in(sk0_4,sk0_4)),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f900,plain,(
% 4.75/0.96 spl0_24 <=> in(sk0_4,singleton(sk0_5))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f903,plain,(
% 4.75/0.96 ~in(sk0_4,sk0_4)|in(sk0_4,singleton(sk0_5))),
% 4.75/0.96 inference(resolution,[status(thm)],[f55,f563])).
% 4.75/0.96 fof(f904,plain,(
% 4.75/0.96 ~spl0_23|spl0_24),
% 4.75/0.96 inference(split_clause,[status(thm)],[f903,f897,f900])).
% 4.75/0.96 fof(f905,plain,(
% 4.75/0.96 spl0_25 <=> in(sk0_4,symmetric_difference(X0,X0))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f906,plain,(
% 4.75/0.96 ![X0]: (in(sk0_4,symmetric_difference(X0,X0))|~spl0_25)),
% 4.75/0.96 inference(component_clause,[status(thm)],[f905])).
% 4.75/0.96 fof(f908,plain,(
% 4.75/0.96 ![X0]: (~in(sk0_4,singleton(sk0_5))|in(sk0_4,symmetric_difference(X0,X0)))),
% 4.75/0.96 inference(resolution,[status(thm)],[f55,f556])).
% 4.75/0.96 fof(f909,plain,(
% 4.75/0.96 ~spl0_24|spl0_25),
% 4.75/0.96 inference(split_clause,[status(thm)],[f908,f900,f905])).
% 4.75/0.96 fof(f915,plain,(
% 4.75/0.96 spl0_27 <=> ~in(sk0_4,X0)|in(sk0_4,X0)),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f918,plain,(
% 4.75/0.96 ![X0]: (~in(sk0_4,X0)|in(sk0_4,singleton(sk0_5))|in(sk0_4,X0))),
% 4.75/0.96 inference(resolution,[status(thm)],[f55,f117])).
% 4.75/0.96 fof(f919,plain,(
% 4.75/0.96 spl0_27|spl0_24),
% 4.75/0.96 inference(split_clause,[status(thm)],[f918,f915,f900])).
% 4.75/0.96 fof(f994,plain,(
% 4.75/0.96 $false|~spl0_25),
% 4.75/0.96 inference(forward_subsumption_resolution,[status(thm)],[f906,f135])).
% 4.75/0.96 fof(f995,plain,(
% 4.75/0.96 ~spl0_25),
% 4.75/0.96 inference(contradiction_clause,[status(thm)],[f994])).
% 4.75/0.96 fof(f1002,plain,(
% 4.75/0.96 spl0_28 <=> ~in(sk0_5,singleton(X0))|sk0_5=X0),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1005,plain,(
% 4.75/0.96 ![X0]: (in(sk0_5,singleton(sk0_4))|~in(sk0_5,singleton(X0))|sk0_5=X0)),
% 4.75/0.96 inference(resolution,[status(thm)],[f56,f512])).
% 4.75/0.96 fof(f1006,plain,(
% 4.75/0.96 spl0_16|spl0_28),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1005,f862,f1002])).
% 4.75/0.96 fof(f1007,plain,(
% 4.75/0.96 in(sk0_5,singleton(sk0_4))|~in(sk0_5,unordered_pair(sk0_4,sk0_4))),
% 4.75/0.96 inference(resolution,[status(thm)],[f56,f503])).
% 4.75/0.96 fof(f1008,plain,(
% 4.75/0.96 spl0_16|~spl0_18),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1007,f862,f872])).
% 4.75/0.96 fof(f1009,plain,(
% 4.75/0.96 spl0_29 <=> ~in(sk0_5,symmetric_difference(X0,X0))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1012,plain,(
% 4.75/0.96 ![X0]: (in(sk0_5,singleton(sk0_4))|~in(sk0_5,symmetric_difference(X0,X0)))),
% 4.75/0.96 inference(resolution,[status(thm)],[f56,f507])).
% 4.75/0.96 fof(f1013,plain,(
% 4.75/0.96 spl0_16|spl0_29),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1012,f862,f1009])).
% 4.75/0.96 fof(f1014,plain,(
% 4.75/0.96 spl0_30 <=> ~in(sk0_5,X0)|~in(X0,sk0_5)),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1017,plain,(
% 4.75/0.96 ![X0]: (in(sk0_5,singleton(sk0_4))|~in(sk0_5,X0)|~in(X0,sk0_5))),
% 4.75/0.96 inference(resolution,[status(thm)],[f56,f515])).
% 4.75/0.96 fof(f1018,plain,(
% 4.75/0.96 spl0_16|spl0_30),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1017,f862,f1014])).
% 4.75/0.96 fof(f1025,plain,(
% 4.75/0.96 spl0_31 <=> ~in(sk0_4,symmetric_difference(X0,X0))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1028,plain,(
% 4.75/0.96 ![X0]: (in(sk0_4,singleton(sk0_5))|~in(sk0_4,symmetric_difference(X0,X0)))),
% 4.75/0.96 inference(resolution,[status(thm)],[f56,f556])).
% 4.75/0.96 fof(f1029,plain,(
% 4.75/0.96 spl0_24|spl0_31),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1028,f900,f1025])).
% 4.75/0.96 fof(f1111,plain,(
% 4.75/0.96 ![X0]: (sk0_5=X0|~spl0_17)),
% 4.75/0.96 inference(forward_subsumption_resolution,[status(thm)],[f868,f61])).
% 4.75/0.96 fof(f1112,plain,(
% 4.75/0.96 $false|~spl0_19),
% 4.75/0.96 inference(forward_subsumption_resolution,[status(thm)],[f878,f135])).
% 4.75/0.96 fof(f1113,plain,(
% 4.75/0.96 ~spl0_19),
% 4.75/0.96 inference(contradiction_clause,[status(thm)],[f1112])).
% 4.75/0.96 fof(f1182,plain,(
% 4.75/0.96 spl0_32 <=> in(sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4),symmetric_difference(singleton(sk0_4),singleton(sk0_5)))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1183,plain,(
% 4.75/0.96 in(sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4),symmetric_difference(singleton(sk0_4),singleton(sk0_5)))|~spl0_32),
% 4.75/0.96 inference(component_clause,[status(thm)],[f1182])).
% 4.75/0.96 fof(f1184,plain,(
% 4.75/0.96 ~in(sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4),symmetric_difference(singleton(sk0_4),singleton(sk0_5)))|spl0_32),
% 4.75/0.96 inference(component_clause,[status(thm)],[f1182])).
% 4.75/0.96 fof(f1185,plain,(
% 4.75/0.96 spl0_33 <=> sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4)=sk0_4),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1186,plain,(
% 4.75/0.96 sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4)=sk0_4|~spl0_33),
% 4.75/0.96 inference(component_clause,[status(thm)],[f1185])).
% 4.75/0.96 fof(f1187,plain,(
% 4.75/0.96 ~sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4)=sk0_4|spl0_33),
% 4.75/0.96 inference(component_clause,[status(thm)],[f1185])).
% 4.75/0.96 fof(f1188,plain,(
% 4.75/0.96 ~in(sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4),symmetric_difference(singleton(sk0_4),singleton(sk0_5)))|~sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4)=sk0_4),
% 4.75/0.96 inference(resolution,[status(thm)],[f34,f60])).
% 4.75/0.96 fof(f1189,plain,(
% 4.75/0.96 ~spl0_32|~spl0_33),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1188,f1182,f1185])).
% 4.75/0.96 fof(f1234,plain,(
% 4.75/0.96 spl0_34 <=> sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4)=sk0_5),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1235,plain,(
% 4.75/0.96 sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4)=sk0_5|~spl0_34),
% 4.75/0.96 inference(component_clause,[status(thm)],[f1234])).
% 4.75/0.96 fof(f1236,plain,(
% 4.75/0.96 ~sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4)=sk0_5|spl0_34),
% 4.75/0.96 inference(component_clause,[status(thm)],[f1234])).
% 4.75/0.96 fof(f1284,plain,(
% 4.75/0.96 in(sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4),symmetric_difference(singleton(sk0_4),singleton(sk0_5)))|sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4)=sk0_4|sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4)=sk0_5),
% 4.75/0.96 inference(resolution,[status(thm)],[f36,f60])).
% 4.75/0.96 fof(f1285,plain,(
% 4.75/0.96 spl0_32|spl0_33|spl0_34),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1284,f1182,f1185,f1234])).
% 4.75/0.96 fof(f1367,plain,(
% 4.75/0.96 spl0_35 <=> in(sk0_1(symmetric_difference(sk0_5,singleton(sk0_4)),sk0_5,sk0_4),symmetric_difference(sk0_5,singleton(sk0_4)))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1370,plain,(
% 4.75/0.96 spl0_36 <=> sk0_1(symmetric_difference(sk0_5,singleton(sk0_4)),sk0_5,sk0_4)=sk0_4),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1371,plain,(
% 4.75/0.96 sk0_1(symmetric_difference(sk0_5,singleton(sk0_4)),sk0_5,sk0_4)=sk0_4|~spl0_36),
% 4.75/0.96 inference(component_clause,[status(thm)],[f1370])).
% 4.75/0.96 fof(f1373,plain,(
% 4.75/0.96 spl0_37 <=> sk0_1(symmetric_difference(sk0_5,singleton(sk0_4)),sk0_5,sk0_4)=sk0_5),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1376,plain,(
% 4.75/0.96 in(sk0_1(symmetric_difference(sk0_5,singleton(sk0_4)),sk0_5,sk0_4),symmetric_difference(sk0_5,singleton(sk0_4)))|sk0_1(symmetric_difference(sk0_5,singleton(sk0_4)),sk0_5,sk0_4)=sk0_4|sk0_1(symmetric_difference(sk0_5,singleton(sk0_4)),sk0_5,sk0_4)=sk0_5|spl0_13),
% 4.75/0.96 inference(resolution,[status(thm)],[f830,f36])).
% 4.75/0.96 fof(f1377,plain,(
% 4.75/0.96 spl0_35|spl0_36|spl0_37|spl0_13),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1376,f1367,f1370,f1373,f811])).
% 4.75/0.96 fof(f1378,plain,(
% 4.75/0.96 ~in(sk0_1(symmetric_difference(sk0_5,singleton(sk0_4)),sk0_5,sk0_4),symmetric_difference(sk0_5,singleton(sk0_4)))|~sk0_1(symmetric_difference(sk0_5,singleton(sk0_4)),sk0_5,sk0_4)=sk0_5|spl0_13),
% 4.75/0.96 inference(resolution,[status(thm)],[f830,f35])).
% 4.75/0.96 fof(f1379,plain,(
% 4.75/0.96 ~spl0_35|~spl0_37|spl0_13),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1378,f1367,f1373,f811])).
% 4.75/0.96 fof(f1380,plain,(
% 4.75/0.96 ~in(sk0_1(symmetric_difference(sk0_5,singleton(sk0_4)),sk0_5,sk0_4),symmetric_difference(sk0_5,singleton(sk0_4)))|~sk0_1(symmetric_difference(sk0_5,singleton(sk0_4)),sk0_5,sk0_4)=sk0_4|spl0_13),
% 4.75/0.96 inference(resolution,[status(thm)],[f830,f34])).
% 4.75/0.96 fof(f1381,plain,(
% 4.75/0.96 ~spl0_35|~spl0_36|spl0_13),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1380,f1367,f1370,f811])).
% 4.75/0.96 fof(f1405,plain,(
% 4.75/0.96 symmetric_difference(sk0_5,singleton(sk0_4))=unordered_pair(sk0_4,sk0_5)|~spl0_13),
% 4.75/0.96 inference(forward_demodulation,[status(thm)],[f20,f812])).
% 4.75/0.96 fof(f1406,plain,(
% 4.75/0.96 $false|~spl0_17),
% 4.75/0.96 inference(backward_subsumption_resolution,[status(thm)],[f59,f1111])).
% 4.75/0.96 fof(f1407,plain,(
% 4.75/0.96 ~spl0_17),
% 4.75/0.96 inference(contradiction_clause,[status(thm)],[f1406])).
% 4.75/0.96 fof(f1408,plain,(
% 4.75/0.96 spl0_38 <=> sk0_5=singleton(sk0_5)),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1409,plain,(
% 4.75/0.96 sk0_5=singleton(sk0_5)|~spl0_38),
% 4.75/0.96 inference(component_clause,[status(thm)],[f1408])).
% 4.75/0.96 fof(f1410,plain,(
% 4.75/0.96 ~sk0_5=singleton(sk0_5)|spl0_38),
% 4.75/0.96 inference(component_clause,[status(thm)],[f1408])).
% 4.75/0.96 fof(f1411,plain,(
% 4.75/0.96 spl0_39 <=> in(sk0_0(sk0_5,sk0_5),sk0_5)),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1414,plain,(
% 4.75/0.96 sk0_5=singleton(sk0_5)|~in(sk0_0(sk0_5,sk0_5),sk0_5)|~spl0_14),
% 4.75/0.96 inference(resolution,[status(thm)],[f815,f26])).
% 4.75/0.96 fof(f1415,plain,(
% 4.75/0.96 spl0_38|~spl0_39|~spl0_14),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1414,f1408,f1411,f814])).
% 4.75/0.96 fof(f1435,plain,(
% 4.75/0.96 ~in(sk0_5,unordered_pair(sk0_4,sk0_5))|~spl0_13),
% 4.75/0.96 inference(backward_demodulation,[status(thm)],[f1405,f514])).
% 4.75/0.96 fof(f1436,plain,(
% 4.75/0.96 $false|~spl0_13),
% 4.75/0.96 inference(forward_subsumption_resolution,[status(thm)],[f1435,f65])).
% 4.75/0.96 fof(f1437,plain,(
% 4.75/0.96 ~spl0_13),
% 4.75/0.96 inference(contradiction_clause,[status(thm)],[f1436])).
% 4.75/0.96 fof(f1462,plain,(
% 4.75/0.96 spl0_40 <=> symmetric_difference(singleton(sk0_4),singleton(sk0_5))=unordered_pair(sk0_4,sk0_5)),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1463,plain,(
% 4.75/0.96 symmetric_difference(singleton(sk0_4),singleton(sk0_5))=unordered_pair(sk0_4,sk0_5)|~spl0_40),
% 4.75/0.96 inference(component_clause,[status(thm)],[f1462])).
% 4.75/0.96 fof(f1467,plain,(
% 4.75/0.96 spl0_41 <=> in(sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4),singleton(sk0_4))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1469,plain,(
% 4.75/0.96 ~in(sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4),singleton(sk0_4))|spl0_41),
% 4.75/0.96 inference(component_clause,[status(thm)],[f1467])).
% 4.75/0.96 fof(f1470,plain,(
% 4.75/0.96 spl0_42 <=> in(sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4),singleton(sk0_5))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1475,plain,(
% 4.75/0.96 ~in(sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4),singleton(sk0_4))|in(sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4),singleton(sk0_5))|spl0_32),
% 4.75/0.96 inference(resolution,[status(thm)],[f1184,f55])).
% 4.75/0.96 fof(f1476,plain,(
% 4.75/0.96 ~spl0_41|spl0_42|spl0_32),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1475,f1467,f1470,f1182])).
% 4.75/0.96 fof(f1507,plain,(
% 4.75/0.96 $false|~spl0_40),
% 4.75/0.96 inference(forward_subsumption_resolution,[status(thm)],[f1463,f60])).
% 4.75/0.96 fof(f1508,plain,(
% 4.75/0.96 ~spl0_40),
% 4.75/0.96 inference(contradiction_clause,[status(thm)],[f1507])).
% 4.75/0.96 fof(f1509,plain,(
% 4.75/0.96 spl0_45 <=> symmetric_difference(sk0_5,singleton(sk0_4))=unordered_pair(sk0_4,sk0_5)),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1510,plain,(
% 4.75/0.96 symmetric_difference(sk0_5,singleton(sk0_4))=unordered_pair(sk0_4,sk0_5)|~spl0_45),
% 4.75/0.96 inference(component_clause,[status(thm)],[f1509])).
% 4.75/0.96 fof(f1528,plain,(
% 4.75/0.96 spl0_47 <=> sk0_4=sk0_4),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1531,plain,(
% 4.75/0.96 sk0_4=sk0_4|symmetric_difference(sk0_5,singleton(sk0_4))=unordered_pair(sk0_4,sk0_5)|in(sk0_1(symmetric_difference(sk0_5,singleton(sk0_4)),sk0_5,sk0_4),symmetric_difference(sk0_5,singleton(sk0_4)))|sk0_1(symmetric_difference(sk0_5,singleton(sk0_4)),sk0_5,sk0_4)=sk0_5|~spl0_36),
% 4.75/0.96 inference(paramodulation,[status(thm)],[f36,f1371])).
% 4.75/0.96 fof(f1532,plain,(
% 4.75/0.96 spl0_47|spl0_45|spl0_35|spl0_37|~spl0_36),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1531,f1528,f1509,f1367,f1373,f1370])).
% 4.75/0.96 fof(f1541,plain,(
% 4.75/0.96 spl0_48 <=> in(sk0_4,symmetric_difference(sk0_5,singleton(sk0_4)))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1543,plain,(
% 4.75/0.96 ~in(sk0_4,symmetric_difference(sk0_5,singleton(sk0_4)))|spl0_48),
% 4.75/0.96 inference(component_clause,[status(thm)],[f1541])).
% 4.75/0.96 fof(f1552,plain,(
% 4.75/0.96 symmetric_difference(sk0_5,singleton(sk0_4))=unordered_pair(sk0_4,sk0_5)|~in(sk0_4,symmetric_difference(sk0_5,singleton(sk0_4)))|~sk0_1(symmetric_difference(sk0_5,singleton(sk0_4)),sk0_5,sk0_4)=sk0_4|~spl0_36),
% 4.75/0.96 inference(paramodulation,[status(thm)],[f1371,f34])).
% 4.75/0.96 fof(f1553,plain,(
% 4.75/0.96 spl0_45|~spl0_48|~spl0_36),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1552,f1509,f1541,f1370])).
% 4.75/0.96 fof(f1554,plain,(
% 4.75/0.96 $false|spl0_13|~spl0_45),
% 4.75/0.96 inference(forward_subsumption_resolution,[status(thm)],[f1510,f830])).
% 4.75/0.96 fof(f1555,plain,(
% 4.75/0.96 spl0_13|~spl0_45),
% 4.75/0.96 inference(contradiction_clause,[status(thm)],[f1554])).
% 4.75/0.96 fof(f1570,plain,(
% 4.75/0.96 sk0_4=sk0_4|symmetric_difference(singleton(sk0_4),singleton(sk0_5))=unordered_pair(sk0_4,sk0_5)|in(sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4),symmetric_difference(singleton(sk0_4),singleton(sk0_5)))|sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4)=sk0_5|~spl0_33),
% 4.75/0.96 inference(paramodulation,[status(thm)],[f36,f1186])).
% 4.75/0.96 fof(f1571,plain,(
% 4.75/0.96 spl0_47|spl0_40|spl0_32|spl0_34|~spl0_33),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1570,f1528,f1462,f1182,f1234,f1185])).
% 4.75/0.96 fof(f1645,plain,(
% 4.75/0.96 in(sk0_5,sk0_5)|~spl0_38),
% 4.75/0.96 inference(paramodulation,[status(thm)],[f1409,f62])).
% 4.75/0.96 fof(f1646,plain,(
% 4.75/0.96 spl0_15|~spl0_38),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1645,f859,f1408])).
% 4.75/0.96 fof(f1647,plain,(
% 4.75/0.96 in(sk0_0(sk0_5,sk0_5),sk0_5)|sk0_0(sk0_5,sk0_5)=sk0_5|spl0_38),
% 4.75/0.96 inference(resolution,[status(thm)],[f1410,f27])).
% 4.75/0.96 fof(f1648,plain,(
% 4.75/0.96 spl0_39|spl0_14|spl0_38),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1647,f1411,f814,f1408])).
% 4.75/0.96 fof(f1736,plain,(
% 4.75/0.96 ~in(sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4),singleton(sk0_4))|spl0_33),
% 4.75/0.96 inference(resolution,[status(thm)],[f1187,f61])).
% 4.75/0.96 fof(f1803,plain,(
% 4.75/0.96 symmetric_difference(singleton(sk0_4),singleton(sk0_5))=unordered_pair(sk0_4,sk0_5)|~in(sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4),symmetric_difference(singleton(sk0_4),singleton(sk0_5)))|~spl0_34),
% 4.75/0.96 inference(resolution,[status(thm)],[f1235,f35])).
% 4.75/0.96 fof(f1804,plain,(
% 4.75/0.96 spl0_40|~spl0_32|~spl0_34),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1803,f1462,f1182,f1234])).
% 4.75/0.96 fof(f1879,plain,(
% 4.75/0.96 ~in(sk0_4,singleton(sk0_4))|~spl0_33|spl0_41),
% 4.75/0.96 inference(forward_demodulation,[status(thm)],[f1186,f1469])).
% 4.75/0.96 fof(f1880,plain,(
% 4.75/0.96 $false|~spl0_33|spl0_41),
% 4.75/0.96 inference(forward_subsumption_resolution,[status(thm)],[f1879,f62])).
% 4.75/0.96 fof(f1881,plain,(
% 4.75/0.96 ~spl0_33|spl0_41),
% 4.75/0.96 inference(contradiction_clause,[status(thm)],[f1880])).
% 4.75/0.96 fof(f1882,plain,(
% 4.75/0.96 spl0_49 <=> in(sk0_4,sk0_5)),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1887,plain,(
% 4.75/0.96 ~in(sk0_4,sk0_5)|in(sk0_4,singleton(sk0_5))|spl0_9),
% 4.75/0.96 inference(resolution,[status(thm)],[f829,f55])).
% 4.75/0.96 fof(f1888,plain,(
% 4.75/0.96 ~spl0_49|spl0_24|spl0_9),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1887,f1882,f900,f793])).
% 4.75/0.96 fof(f1902,plain,(
% 4.75/0.96 ~in(sk0_4,sk0_5)|in(sk0_4,singleton(sk0_5))|spl0_8),
% 4.75/0.96 inference(resolution,[status(thm)],[f790,f55])).
% 4.75/0.96 fof(f1903,plain,(
% 4.75/0.96 ~spl0_49|spl0_24|spl0_8),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1902,f1882,f900,f788])).
% 4.75/0.96 fof(f1914,plain,(
% 4.75/0.96 spl0_50 <=> in(sk0_4,singleton(sk0_4))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f1917,plain,(
% 4.75/0.96 in(sk0_4,sk0_5)|~in(sk0_4,singleton(sk0_4))|spl0_48),
% 4.75/0.96 inference(resolution,[status(thm)],[f1543,f56])).
% 4.75/0.96 fof(f1918,plain,(
% 4.75/0.96 spl0_49|~spl0_50|spl0_48),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1917,f1882,f1914,f1541])).
% 4.75/0.96 fof(f1919,plain,(
% 4.75/0.96 ~in(sk0_4,sk0_5)|in(sk0_4,singleton(sk0_4))|spl0_48),
% 4.75/0.96 inference(resolution,[status(thm)],[f1543,f55])).
% 4.75/0.96 fof(f1920,plain,(
% 4.75/0.96 ~spl0_49|spl0_50|spl0_48),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1919,f1882,f1914,f1541])).
% 4.75/0.96 fof(f2014,plain,(
% 4.75/0.96 in(sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4),singleton(sk0_4))|in(sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4),singleton(sk0_5))|~spl0_32),
% 4.75/0.96 inference(resolution,[status(thm)],[f1183,f53])).
% 4.75/0.96 fof(f2015,plain,(
% 4.75/0.96 spl0_41|spl0_42|~spl0_32),
% 4.75/0.96 inference(split_clause,[status(thm)],[f2014,f1467,f1470,f1182])).
% 4.75/0.96 fof(f2049,plain,(
% 4.75/0.96 ~in(sk0_1(symmetric_difference(singleton(sk0_4),singleton(sk0_5)),sk0_5,sk0_4),singleton(sk0_5))|spl0_34),
% 4.75/0.96 inference(resolution,[status(thm)],[f1236,f61])).
% 4.75/0.96 fof(f2800,plain,(
% 4.75/0.96 ~in(sk0_5,symmetric_difference(singleton(sk0_4),singleton(sk0_5)))|~spl0_34|spl0_32),
% 4.75/0.96 inference(forward_demodulation,[status(thm)],[f1235,f1184])).
% 4.75/0.96 fof(f2804,plain,(
% 4.75/0.96 spl0_51 <=> in(sk0_5,singleton(sk0_5))),
% 4.75/0.96 introduced(split_symbol_definition)).
% 4.75/0.96 fof(f2806,plain,(
% 4.75/0.96 ~in(sk0_5,singleton(sk0_5))|spl0_51),
% 4.75/0.96 inference(component_clause,[status(thm)],[f2804])).
% 4.75/0.96 fof(f2807,plain,(
% 4.75/0.96 in(sk0_5,singleton(sk0_4))|~in(sk0_5,singleton(sk0_5))|~spl0_34|spl0_32),
% 4.75/0.96 inference(resolution,[status(thm)],[f2800,f56])).
% 4.75/0.96 fof(f2808,plain,(
% 4.75/0.96 spl0_16|~spl0_51|~spl0_34|spl0_32),
% 4.75/0.96 inference(split_clause,[status(thm)],[f2807,f862,f2804,f1234,f1182])).
% 4.75/0.96 fof(f2831,plain,(
% 4.75/0.96 ~spl0_41|spl0_33),
% 4.75/0.96 inference(split_clause,[status(thm)],[f1736,f1467,f1185])).
% 4.75/0.96 fof(f2833,plain,(
% 4.75/0.96 $false|spl0_51),
% 4.75/0.96 inference(forward_subsumption_resolution,[status(thm)],[f2806,f62])).
% 4.75/0.96 fof(f2834,plain,(
% 4.75/0.96 spl0_51),
% 4.75/0.96 inference(contradiction_clause,[status(thm)],[f2833])).
% 4.75/0.96 fof(f2835,plain,(
% 4.75/0.96 ~spl0_42|spl0_34),
% 4.75/0.96 inference(split_clause,[status(thm)],[f2049,f1470,f1234])).
% 4.75/0.96 fof(f2836,plain,(
% 4.75/0.96 $false),
% 4.75/0.96 inference(sat_refutation,[status(thm)],[f412,f792,f797,f807,f866,f881,f896,f904,f909,f919,f995,f1006,f1008,f1013,f1018,f1029,f1113,f1189,f1285,f1377,f1379,f1381,f1407,f1415,f1437,f1476,f1508,f1532,f1553,f1555,f1571,f1646,f1648,f1804,f1881,f1888,f1903,f1918,f1920,f2015,f2808,f2831,f2834,f2835])).
% 4.75/0.96 % SZS output end CNFRefutation for theBenchmark.p
% 4.75/0.97 % Elapsed time: 0.614719 seconds
% 4.75/0.97 % CPU time: 4.788497 seconds
% 4.75/0.97 % Total memory used: 100.686 MB
% 4.75/0.97 % Net memory used: 99.678 MB
%------------------------------------------------------------------------------