TSTP Solution File: SET720+4 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET720+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:35:05 EDT 2023
% Result : Theorem 213.72s 27.33s
% Output : CNFRefutation 214.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET720+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 30 10:35:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 213.72/27.33 % Refutation found
% 213.72/27.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 213.72/27.33 % SZS output start CNFRefutation for theBenchmark
% 213.72/27.33 fof(f5,axiom,(
% 213.72/27.33 (! [X,A,B] :( member(X,union(A,B))<=> ( member(X,A)| member(X,B) ) ) )),
% 213.72/27.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 213.72/27.33 fof(f7,axiom,(
% 213.72/27.33 (! [B,A,E] :( member(B,difference(E,A))<=> ( member(B,E)& ~ member(B,A) ) ) )),
% 213.72/27.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 213.72/27.33 fof(f12,axiom,(
% 213.72/27.33 (! [F,A,B] :( maps(F,A,B)<=> ( (! [X] :( member(X,A)=> (? [Y] :( member(Y,B)& apply(F,X,Y) ) )))& (! [X,Y1,Y2] :( ( member(X,A)& member(Y1,B)& member(Y2,B) )=> ( ( apply(F,X,Y1)& apply(F,X,Y2) )=> Y1 = Y2 ) ) )) ) )),
% 213.72/27.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 213.72/27.33 fof(f15,axiom,(
% 213.72/27.33 (! [F,G,A,B] :( equal_maps(F,G,A,B)<=> (! [X,Y1,Y2] :( ( member(X,A)& member(Y1,B)& member(Y2,B) )=> ( ( apply(F,X,Y1)& apply(G,X,Y2) )=> Y1 = Y2 ) ) )) )),
% 213.72/27.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 213.72/27.33 fof(f21,axiom,(
% 213.72/27.33 (! [F,A,B,X,Y] :( ( member(X,A)& member(Y,B) )=> ( apply(F,X,Y)<=> apply(inverse_function(F,A,B),Y,X) ) ) )),
% 213.72/27.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 213.72/27.33 fof(f29,conjecture,(
% 213.72/27.33 (! [F,A,B] :( ( maps(F,A,B)& one_to_one(F,A,B) )=> equal_maps(inverse_function(inverse_function(F,A,B),B,A),F,A,B) ) )),
% 213.72/27.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 213.72/27.33 fof(f30,negated_conjecture,(
% 213.72/27.33 ~((! [F,A,B] :( ( maps(F,A,B)& one_to_one(F,A,B) )=> equal_maps(inverse_function(inverse_function(F,A,B),B,A),F,A,B) ) ))),
% 213.72/27.33 inference(negated_conjecture,[status(cth)],[f29])).
% 213.72/27.33 fof(f52,plain,(
% 213.72/27.33 ![X,A,B]: ((~member(X,union(A,B))|(member(X,A)|member(X,B)))&(member(X,union(A,B))|(~member(X,A)&~member(X,B))))),
% 213.72/27.33 inference(NNF_transformation,[status(esa)],[f5])).
% 213.72/27.33 fof(f53,plain,(
% 213.72/27.33 (![X,A,B]: (~member(X,union(A,B))|(member(X,A)|member(X,B))))&(![X,A,B]: (member(X,union(A,B))|(~member(X,A)&~member(X,B))))),
% 213.72/27.33 inference(miniscoping,[status(esa)],[f52])).
% 213.72/27.33 fof(f54,plain,(
% 213.72/27.33 ![X0,X1,X2]: (~member(X0,union(X1,X2))|member(X0,X1)|member(X0,X2))),
% 213.72/27.33 inference(cnf_transformation,[status(esa)],[f53])).
% 213.72/27.33 fof(f56,plain,(
% 213.72/27.33 ![X0,X1,X2]: (member(X0,union(X1,X2))|~member(X0,X2))),
% 213.72/27.33 inference(cnf_transformation,[status(esa)],[f53])).
% 213.72/27.33 fof(f58,plain,(
% 213.72/27.33 ![B,A,E]: ((~member(B,difference(E,A))|(member(B,E)&~member(B,A)))&(member(B,difference(E,A))|(~member(B,E)|member(B,A))))),
% 213.72/27.33 inference(NNF_transformation,[status(esa)],[f7])).
% 213.72/27.33 fof(f59,plain,(
% 213.72/27.33 (![B,A,E]: (~member(B,difference(E,A))|(member(B,E)&~member(B,A))))&(![B,A,E]: (member(B,difference(E,A))|(~member(B,E)|member(B,A))))),
% 213.72/27.33 inference(miniscoping,[status(esa)],[f58])).
% 213.72/27.33 fof(f61,plain,(
% 213.72/27.33 ![X0,X1,X2]: (~member(X0,difference(X1,X2))|~member(X0,X2))),
% 213.72/27.33 inference(cnf_transformation,[status(esa)],[f59])).
% 213.72/27.33 fof(f85,plain,(
% 213.72/27.33 ![F,A,B]: (maps(F,A,B)<=>((![X]: (~member(X,A)|(?[Y]: (member(Y,B)&apply(F,X,Y)))))&(![X,Y1,Y2]: (((~member(X,A)|~member(Y1,B))|~member(Y2,B))|((~apply(F,X,Y1)|~apply(F,X,Y2))|Y1=Y2)))))),
% 213.72/27.33 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 213.72/27.33 fof(f86,plain,(
% 213.72/27.33 ![F,A,B,X]: (pd0_0(X,B,A,F)<=>(~member(X,A)|(?[Y]: (member(Y,B)&apply(F,X,Y)))))),
% 213.72/27.33 introduced(predicate_definition,[f85])).
% 213.72/27.33 fof(f87,plain,(
% 213.72/27.33 ![F,A,B]: (maps(F,A,B)<=>((![X]: pd0_0(X,B,A,F))&(![X,Y1,Y2]: (((~member(X,A)|~member(Y1,B))|~member(Y2,B))|((~apply(F,X,Y1)|~apply(F,X,Y2))|Y1=Y2)))))),
% 213.72/27.33 inference(formula_renaming,[status(thm)],[f85,f86])).
% 213.72/27.33 fof(f88,plain,(
% 213.72/27.33 ![F,A,B]: ((~maps(F,A,B)|((![X]: pd0_0(X,B,A,F))&(![X,Y1,Y2]: (((~member(X,A)|~member(Y1,B))|~member(Y2,B))|((~apply(F,X,Y1)|~apply(F,X,Y2))|Y1=Y2)))))&(maps(F,A,B)|((?[X]: ~pd0_0(X,B,A,F))|(?[X,Y1,Y2]: (((member(X,A)&member(Y1,B))&member(Y2,B))&((apply(F,X,Y1)&apply(F,X,Y2))&~Y1=Y2))))))),
% 213.72/27.33 inference(NNF_transformation,[status(esa)],[f87])).
% 213.72/27.33 fof(f89,plain,(
% 213.72/27.33 (![F,A,B]: (~maps(F,A,B)|((![X]: pd0_0(X,B,A,F))&(![X,Y1,Y2]: (((~member(X,A)|~member(Y1,B))|~member(Y2,B))|((~apply(F,X,Y1)|~apply(F,X,Y2))|Y1=Y2))))))&(![F,A,B]: (maps(F,A,B)|((?[X]: ~pd0_0(X,B,A,F))|(?[X,Y1,Y2]: (((member(X,A)&member(Y1,B))&member(Y2,B))&((apply(F,X,Y1)&apply(F,X,Y2))&~Y1=Y2))))))),
% 213.72/27.33 inference(miniscoping,[status(esa)],[f88])).
% 213.72/27.35 fof(f90,plain,(
% 213.72/27.35 (![F,A,B]: (~maps(F,A,B)|((![X]: pd0_0(X,B,A,F))&(![X,Y1,Y2]: (((~member(X,A)|~member(Y1,B))|~member(Y2,B))|((~apply(F,X,Y1)|~apply(F,X,Y2))|Y1=Y2))))))&(![F,A,B]: (maps(F,A,B)|(~pd0_0(sk0_3(B,A,F),B,A,F)|(((member(sk0_4(B,A,F),A)&member(sk0_5(B,A,F),B))&member(sk0_6(B,A,F),B))&((apply(F,sk0_4(B,A,F),sk0_5(B,A,F))&apply(F,sk0_4(B,A,F),sk0_6(B,A,F)))&~sk0_5(B,A,F)=sk0_6(B,A,F))))))),
% 213.72/27.35 inference(skolemization,[status(esa)],[f89])).
% 213.72/27.35 fof(f92,plain,(
% 213.72/27.35 ![X0,X1,X2,X3,X4,X5]: (~maps(X0,X1,X2)|~member(X3,X1)|~member(X4,X2)|~member(X5,X2)|~apply(X0,X3,X4)|~apply(X0,X3,X5)|X4=X5)),
% 213.72/27.35 inference(cnf_transformation,[status(esa)],[f90])).
% 213.72/27.35 fof(f119,plain,(
% 213.72/27.35 ![F,G,A,B]: (equal_maps(F,G,A,B)<=>(![X,Y1,Y2]: (((~member(X,A)|~member(Y1,B))|~member(Y2,B))|((~apply(F,X,Y1)|~apply(G,X,Y2))|Y1=Y2))))),
% 213.72/27.35 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 213.72/27.35 fof(f120,plain,(
% 213.72/27.35 ![F,G,A,B]: ((~equal_maps(F,G,A,B)|(![X,Y1,Y2]: (((~member(X,A)|~member(Y1,B))|~member(Y2,B))|((~apply(F,X,Y1)|~apply(G,X,Y2))|Y1=Y2))))&(equal_maps(F,G,A,B)|(?[X,Y1,Y2]: (((member(X,A)&member(Y1,B))&member(Y2,B))&((apply(F,X,Y1)&apply(G,X,Y2))&~Y1=Y2)))))),
% 213.72/27.35 inference(NNF_transformation,[status(esa)],[f119])).
% 213.72/27.35 fof(f121,plain,(
% 213.72/27.35 (![F,G,A,B]: (~equal_maps(F,G,A,B)|(![X,Y1,Y2]: (((~member(X,A)|~member(Y1,B))|~member(Y2,B))|((~apply(F,X,Y1)|~apply(G,X,Y2))|Y1=Y2)))))&(![F,G,A,B]: (equal_maps(F,G,A,B)|(?[X,Y1,Y2]: (((member(X,A)&member(Y1,B))&member(Y2,B))&((apply(F,X,Y1)&apply(G,X,Y2))&~Y1=Y2)))))),
% 213.72/27.35 inference(miniscoping,[status(esa)],[f120])).
% 213.72/27.35 fof(f122,plain,(
% 213.72/27.35 (![F,G,A,B]: (~equal_maps(F,G,A,B)|(![X,Y1,Y2]: (((~member(X,A)|~member(Y1,B))|~member(Y2,B))|((~apply(F,X,Y1)|~apply(G,X,Y2))|Y1=Y2)))))&(![F,G,A,B]: (equal_maps(F,G,A,B)|(((member(sk0_12(B,A,G,F),A)&member(sk0_13(B,A,G,F),B))&member(sk0_14(B,A,G,F),B))&((apply(F,sk0_12(B,A,G,F),sk0_13(B,A,G,F))&apply(G,sk0_12(B,A,G,F),sk0_14(B,A,G,F)))&~sk0_13(B,A,G,F)=sk0_14(B,A,G,F)))))),
% 213.72/27.35 inference(skolemization,[status(esa)],[f121])).
% 213.72/27.35 fof(f124,plain,(
% 213.72/27.35 ![X0,X1,X2,X3]: (equal_maps(X0,X1,X2,X3)|member(sk0_12(X3,X2,X1,X0),X2))),
% 213.72/27.35 inference(cnf_transformation,[status(esa)],[f122])).
% 213.72/27.35 fof(f125,plain,(
% 213.72/27.35 ![X0,X1,X2,X3]: (equal_maps(X0,X1,X2,X3)|member(sk0_13(X3,X2,X1,X0),X3))),
% 213.72/27.35 inference(cnf_transformation,[status(esa)],[f122])).
% 213.72/27.35 fof(f126,plain,(
% 213.72/27.35 ![X0,X1,X2,X3]: (equal_maps(X0,X1,X2,X3)|member(sk0_14(X3,X2,X1,X0),X3))),
% 213.72/27.35 inference(cnf_transformation,[status(esa)],[f122])).
% 213.72/27.35 fof(f127,plain,(
% 213.72/27.35 ![X0,X1,X2,X3]: (equal_maps(X0,X1,X2,X3)|apply(X0,sk0_12(X3,X2,X1,X0),sk0_13(X3,X2,X1,X0)))),
% 213.72/27.35 inference(cnf_transformation,[status(esa)],[f122])).
% 213.72/27.35 fof(f128,plain,(
% 213.72/27.35 ![X0,X1,X2,X3]: (equal_maps(X0,X1,X2,X3)|apply(X1,sk0_12(X3,X2,X1,X0),sk0_14(X3,X2,X1,X0)))),
% 213.72/27.35 inference(cnf_transformation,[status(esa)],[f122])).
% 213.72/27.35 fof(f129,plain,(
% 213.72/27.35 ![X0,X1,X2,X3]: (equal_maps(X0,X1,X2,X3)|~sk0_13(X3,X2,X1,X0)=sk0_14(X3,X2,X1,X0))),
% 213.72/27.35 inference(cnf_transformation,[status(esa)],[f122])).
% 213.72/27.35 fof(f171,plain,(
% 213.72/27.35 ![F,A,B,X,Y]: ((~member(X,A)|~member(Y,B))|(apply(F,X,Y)<=>apply(inverse_function(F,A,B),Y,X)))),
% 213.72/27.35 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 213.72/27.35 fof(f172,plain,(
% 213.72/27.35 ![F,A,B,X,Y]: ((~member(X,A)|~member(Y,B))|((~apply(F,X,Y)|apply(inverse_function(F,A,B),Y,X))&(apply(F,X,Y)|~apply(inverse_function(F,A,B),Y,X))))),
% 213.72/27.35 inference(NNF_transformation,[status(esa)],[f171])).
% 213.72/27.35 fof(f173,plain,(
% 213.72/27.35 ![A,B,X,Y]: ((~member(X,A)|~member(Y,B))|((![F]: (~apply(F,X,Y)|apply(inverse_function(F,A,B),Y,X)))&(![F]: (apply(F,X,Y)|~apply(inverse_function(F,A,B),Y,X)))))),
% 213.72/27.35 inference(miniscoping,[status(esa)],[f172])).
% 213.72/27.35 fof(f175,plain,(
% 213.72/27.35 ![X0,X1,X2,X3,X4]: (~member(X0,X1)|~member(X2,X3)|apply(X4,X0,X2)|~apply(inverse_function(X4,X1,X3),X2,X0))),
% 213.72/27.35 inference(cnf_transformation,[status(esa)],[f173])).
% 213.72/27.35 fof(f244,plain,(
% 213.72/27.35 (?[F,A,B]: ((maps(F,A,B)&one_to_one(F,A,B))&~equal_maps(inverse_function(inverse_function(F,A,B),B,A),F,A,B)))),
% 213.72/27.35 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 213.72/27.35 fof(f245,plain,(
% 213.72/27.35 ((maps(sk0_39,sk0_40,sk0_41)&one_to_one(sk0_39,sk0_40,sk0_41))&~equal_maps(inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40),sk0_39,sk0_40,sk0_41))),
% 213.72/27.35 inference(skolemization,[status(esa)],[f244])).
% 213.72/27.35 fof(f246,plain,(
% 213.72/27.35 maps(sk0_39,sk0_40,sk0_41)),
% 213.72/27.35 inference(cnf_transformation,[status(esa)],[f245])).
% 213.72/27.35 fof(f248,plain,(
% 213.72/27.35 ~equal_maps(inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40),sk0_39,sk0_40,sk0_41)),
% 213.72/27.35 inference(cnf_transformation,[status(esa)],[f245])).
% 213.72/27.35 fof(f550,plain,(
% 213.72/27.35 member(sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_40)),
% 213.72/27.35 inference(resolution,[status(thm)],[f124,f248])).
% 213.72/27.35 fof(f551,plain,(
% 213.72/27.35 member(sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_41)),
% 213.72/27.35 inference(resolution,[status(thm)],[f125,f248])).
% 213.72/27.35 fof(f552,plain,(
% 213.72/27.35 member(sk0_14(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_41)),
% 213.72/27.35 inference(resolution,[status(thm)],[f126,f248])).
% 213.72/27.35 fof(f556,plain,(
% 213.72/27.35 ![X0]: (member(sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),union(X0,sk0_40)))),
% 213.72/27.35 inference(resolution,[status(thm)],[f550,f56])).
% 213.72/27.35 fof(f580,plain,(
% 213.72/27.35 ![X0,X1,X2]: (~member(X0,X1)|apply(X2,X0,sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)))|~apply(inverse_function(X2,X1,sk0_40),sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0))),
% 213.72/27.35 inference(resolution,[status(thm)],[f550,f175])).
% 213.72/27.35 fof(f582,plain,(
% 213.72/27.35 ![X0]: (member(sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),union(X0,sk0_41)))),
% 213.72/27.35 inference(resolution,[status(thm)],[f551,f56])).
% 213.72/27.35 fof(f602,plain,(
% 213.72/27.35 ![X0,X1,X2,X3]: (~maps(X0,X1,sk0_41)|~member(X2,X1)|~member(X3,sk0_41)|~apply(X0,X2,X3)|~apply(X0,X2,sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)))|X3=sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)))),
% 213.72/27.35 inference(resolution,[status(thm)],[f551,f92])).
% 213.72/27.35 fof(f606,plain,(
% 213.72/27.35 ![X0,X1,X2]: (~member(X0,X1)|apply(X2,X0,sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)))|~apply(inverse_function(X2,X1,sk0_41),sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0))),
% 213.72/27.35 inference(resolution,[status(thm)],[f551,f175])).
% 213.72/27.35 fof(f608,plain,(
% 213.72/27.35 ![X0]: (member(sk0_14(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),union(X0,sk0_41)))),
% 213.72/27.35 inference(resolution,[status(thm)],[f552,f56])).
% 213.72/27.35 fof(f634,plain,(
% 213.72/27.35 spl0_9 <=> member(sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0)),
% 213.72/27.35 introduced(split_symbol_definition)).
% 213.72/27.35 fof(f635,plain,(
% 213.72/27.35 ![X0]: (member(sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0)|~spl0_9)),
% 213.72/27.35 inference(component_clause,[status(thm)],[f634])).
% 213.72/27.35 fof(f637,plain,(
% 213.72/27.35 spl0_10 <=> member(sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_40)),
% 213.72/27.35 introduced(split_symbol_definition)).
% 213.72/27.35 fof(f638,plain,(
% 213.72/27.35 member(sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_40)|~spl0_10),
% 213.72/27.35 inference(component_clause,[status(thm)],[f637])).
% 213.72/27.35 fof(f640,plain,(
% 213.72/27.35 ![X0]: (member(sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0)|member(sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_40))),
% 213.72/27.35 inference(resolution,[status(thm)],[f556,f54])).
% 213.72/27.35 fof(f641,plain,(
% 213.72/27.35 spl0_9|spl0_10),
% 213.72/27.35 inference(split_clause,[status(thm)],[f640,f634,f637])).
% 213.72/27.35 fof(f676,plain,(
% 213.72/27.35 ![X0]: (~member(sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0)|~spl0_9)),
% 213.72/27.35 inference(resolution,[status(thm)],[f635,f61])).
% 213.72/27.35 fof(f677,plain,(
% 213.72/27.35 $false|~spl0_9),
% 213.72/27.35 inference(forward_subsumption_resolution,[status(thm)],[f676,f635])).
% 213.72/27.35 fof(f678,plain,(
% 213.72/27.35 ~spl0_9),
% 213.72/27.35 inference(contradiction_clause,[status(thm)],[f677])).
% 213.72/27.35 fof(f696,plain,(
% 213.72/27.35 spl0_14 <=> member(sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0)),
% 213.72/27.35 introduced(split_symbol_definition)).
% 213.72/27.35 fof(f697,plain,(
% 213.72/27.35 ![X0]: (member(sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0)|~spl0_14)),
% 213.72/27.35 inference(component_clause,[status(thm)],[f696])).
% 213.72/27.35 fof(f699,plain,(
% 213.72/27.35 spl0_15 <=> member(sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_41)),
% 213.72/27.35 introduced(split_symbol_definition)).
% 213.72/27.35 fof(f702,plain,(
% 213.72/27.35 ![X0]: (member(sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0)|member(sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_41))),
% 213.72/27.35 inference(resolution,[status(thm)],[f582,f54])).
% 213.72/27.35 fof(f703,plain,(
% 213.72/27.35 spl0_14|spl0_15),
% 213.72/27.35 inference(split_clause,[status(thm)],[f702,f696,f699])).
% 213.72/27.35 fof(f738,plain,(
% 213.72/27.35 ![X0]: (~member(sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0)|~spl0_14)),
% 213.72/27.35 inference(resolution,[status(thm)],[f697,f61])).
% 213.72/27.35 fof(f739,plain,(
% 213.72/27.35 $false|~spl0_14),
% 213.72/27.35 inference(forward_subsumption_resolution,[status(thm)],[f738,f697])).
% 213.72/27.35 fof(f740,plain,(
% 213.72/27.35 ~spl0_14),
% 213.72/27.35 inference(contradiction_clause,[status(thm)],[f739])).
% 213.72/27.35 fof(f758,plain,(
% 213.72/27.35 spl0_19 <=> member(sk0_14(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0)),
% 213.72/27.35 introduced(split_symbol_definition)).
% 213.72/27.35 fof(f759,plain,(
% 213.72/27.35 ![X0]: (member(sk0_14(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0)|~spl0_19)),
% 213.72/27.35 inference(component_clause,[status(thm)],[f758])).
% 213.72/27.35 fof(f761,plain,(
% 213.72/27.35 spl0_20 <=> member(sk0_14(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_41)),
% 213.72/27.35 introduced(split_symbol_definition)).
% 213.72/27.35 fof(f764,plain,(
% 213.72/27.35 ![X0]: (member(sk0_14(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0)|member(sk0_14(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_41))),
% 213.72/27.35 inference(resolution,[status(thm)],[f608,f54])).
% 213.72/27.35 fof(f765,plain,(
% 213.72/27.35 spl0_19|spl0_20),
% 213.72/27.35 inference(split_clause,[status(thm)],[f764,f758,f761])).
% 213.72/27.35 fof(f800,plain,(
% 213.72/27.35 ![X0]: (~member(sk0_14(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0)|~spl0_19)),
% 213.72/27.35 inference(resolution,[status(thm)],[f759,f61])).
% 213.72/27.35 fof(f801,plain,(
% 213.72/27.35 $false|~spl0_19),
% 213.72/27.35 inference(forward_subsumption_resolution,[status(thm)],[f800,f759])).
% 213.72/27.35 fof(f802,plain,(
% 213.72/27.35 ~spl0_19),
% 213.72/27.35 inference(contradiction_clause,[status(thm)],[f801])).
% 213.72/27.35 fof(f6158,plain,(
% 213.72/27.35 apply(inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40),sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)))),
% 213.72/27.35 inference(resolution,[status(thm)],[f127,f248])).
% 213.72/27.35 fof(f6159,plain,(
% 213.72/27.35 apply(sk0_39,sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_14(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)))),
% 213.72/27.35 inference(resolution,[status(thm)],[f128,f248])).
% 213.72/27.35 fof(f6504,plain,(
% 213.72/27.35 spl0_472 <=> apply(inverse_function(sk0_39,sk0_40,sk0_41),sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)))),
% 213.72/27.35 introduced(split_symbol_definition)).
% 213.72/27.35 fof(f6505,plain,(
% 213.72/27.35 apply(inverse_function(sk0_39,sk0_40,sk0_41),sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)))|~spl0_472),
% 213.72/27.35 inference(component_clause,[status(thm)],[f6504])).
% 213.72/27.35 fof(f6507,plain,(
% 213.72/27.35 ~member(sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_41)|apply(inverse_function(sk0_39,sk0_40,sk0_41),sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)))),
% 213.72/27.35 inference(resolution,[status(thm)],[f6158,f580])).
% 213.72/27.35 fof(f6508,plain,(
% 213.72/27.35 ~spl0_15|spl0_472),
% 213.72/27.35 inference(split_clause,[status(thm)],[f6507,f699,f6504])).
% 213.72/27.35 fof(f6615,plain,(
% 213.72/27.35 spl0_475 <=> apply(sk0_39,sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)))),
% 213.72/27.35 introduced(split_symbol_definition)).
% 213.72/27.35 fof(f6616,plain,(
% 213.72/27.35 apply(sk0_39,sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)))|~spl0_475),
% 213.72/27.35 inference(component_clause,[status(thm)],[f6615])).
% 213.72/27.35 fof(f6618,plain,(
% 213.72/27.35 ~member(sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_40)|apply(sk0_39,sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)))|~spl0_472),
% 213.72/27.35 inference(resolution,[status(thm)],[f6505,f606])).
% 213.72/27.35 fof(f6619,plain,(
% 213.72/27.35 ~spl0_10|spl0_475|~spl0_472),
% 213.72/27.35 inference(split_clause,[status(thm)],[f6618,f637,f6615,f6504])).
% 213.72/27.35 fof(f6731,plain,(
% 213.72/27.35 spl0_478 <=> ~maps(sk0_39,X0,sk0_41)|~member(sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0)),
% 213.72/27.35 introduced(split_symbol_definition)).
% 213.72/27.35 fof(f6732,plain,(
% 213.72/27.35 ![X0]: (~maps(sk0_39,X0,sk0_41)|~member(sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0)|~spl0_478)),
% 213.72/27.35 inference(component_clause,[status(thm)],[f6731])).
% 213.72/27.35 fof(f6734,plain,(
% 213.72/27.35 spl0_479 <=> ~member(X1,sk0_41)|~apply(sk0_39,sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X1)|X1=sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40))),
% 213.72/27.35 introduced(split_symbol_definition)).
% 213.72/27.35 fof(f6735,plain,(
% 213.72/27.35 ![X0]: (~member(X0,sk0_41)|~apply(sk0_39,sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0)|X0=sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40))|~spl0_479)),
% 213.72/27.35 inference(component_clause,[status(thm)],[f6734])).
% 213.72/27.35 fof(f6737,plain,(
% 213.72/27.35 ![X0,X1]: (~maps(sk0_39,X0,sk0_41)|~member(sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X0)|~member(X1,sk0_41)|~apply(sk0_39,sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),X1)|X1=sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40))|~spl0_475)),
% 213.72/27.35 inference(resolution,[status(thm)],[f6616,f602])).
% 213.72/27.35 fof(f6738,plain,(
% 213.72/27.35 spl0_478|spl0_479|~spl0_475),
% 213.72/27.35 inference(split_clause,[status(thm)],[f6737,f6731,f6734,f6615])).
% 213.72/27.35 fof(f6832,plain,(
% 213.72/27.35 ~member(sk0_12(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_40)|~spl0_478),
% 213.72/27.35 inference(resolution,[status(thm)],[f6732,f246])).
% 213.72/27.35 fof(f6833,plain,(
% 213.72/27.35 $false|~spl0_10|~spl0_478),
% 213.72/27.35 inference(forward_subsumption_resolution,[status(thm)],[f6832,f638])).
% 213.72/27.35 fof(f6834,plain,(
% 213.72/27.35 ~spl0_10|~spl0_478),
% 213.72/27.35 inference(contradiction_clause,[status(thm)],[f6833])).
% 213.72/27.35 fof(f7349,plain,(
% 213.72/27.35 spl0_511 <=> sk0_14(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40))=sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40))),
% 213.72/27.35 introduced(split_symbol_definition)).
% 214.55/27.41 fof(f7350,plain,(
% 214.55/27.41 sk0_14(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40))=sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40))|~spl0_511),
% 214.55/27.41 inference(component_clause,[status(thm)],[f7349])).
% 214.55/27.41 fof(f7352,plain,(
% 214.55/27.41 ~member(sk0_14(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40)),sk0_41)|sk0_14(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40))=sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40))|~spl0_479),
% 214.55/27.41 inference(resolution,[status(thm)],[f6159,f6735])).
% 214.55/27.41 fof(f7353,plain,(
% 214.55/27.41 ~spl0_20|spl0_511|~spl0_479),
% 214.55/27.41 inference(split_clause,[status(thm)],[f7352,f761,f7349,f6734])).
% 214.55/27.41 fof(f8848,plain,(
% 214.55/27.41 ~sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40))=sk0_14(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40))),
% 214.55/27.41 inference(resolution,[status(thm)],[f129,f248])).
% 214.55/27.41 fof(f8849,plain,(
% 214.55/27.41 ~sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40))=sk0_13(sk0_41,sk0_40,sk0_39,inverse_function(inverse_function(sk0_39,sk0_40,sk0_41),sk0_41,sk0_40))|~spl0_511),
% 214.55/27.41 inference(forward_demodulation,[status(thm)],[f7350,f8848])).
% 214.55/27.41 fof(f8850,plain,(
% 214.55/27.41 $false|~spl0_511),
% 214.55/27.41 inference(trivial_equality_resolution,[status(esa)],[f8849])).
% 214.55/27.41 fof(f8851,plain,(
% 214.55/27.41 ~spl0_511),
% 214.55/27.41 inference(contradiction_clause,[status(thm)],[f8850])).
% 214.55/27.41 fof(f8852,plain,(
% 214.55/27.41 $false),
% 214.55/27.41 inference(sat_refutation,[status(thm)],[f641,f678,f703,f740,f765,f802,f6508,f6619,f6738,f6834,f7353,f8851])).
% 214.55/27.41 % SZS output end CNFRefutation for theBenchmark.p
% 216.14/28.58 % Elapsed time: 28.015264 seconds
% 216.14/28.58 % CPU time: 206.776157 seconds
% 216.14/28.58 % Memory used: 380.289 MB
%------------------------------------------------------------------------------