TSTP Solution File: GRP334-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP334-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:20:07 EDT 2024
% Result : Unsatisfiable 0.22s 0.51s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP334-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 Apr 30 00:43:35 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.22/0.37 % Drodi V3.6.0
% 0.22/0.51 % Refutation found
% 0.22/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.51 fof(f1,axiom,(
% 0.22/0.51 (![X]: (multiply(identity,X) = X ))),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f2,axiom,(
% 0.22/0.51 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f3,axiom,(
% 0.22/0.51 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f4,negated_conjecture,(
% 0.22/0.51 multiply(sk_c6,sk_c7) = sk_c5 ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f5,negated_conjecture,(
% 0.22/0.51 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c6) = sk_c5 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f6,negated_conjecture,(
% 0.22/0.51 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c7) = sk_c5 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f7,negated_conjecture,(
% 0.22/0.51 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c6,sk_c4) = sk_c5 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f8,negated_conjecture,(
% 0.22/0.51 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c3,sk_c6) = sk_c4 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f9,negated_conjecture,(
% 0.22/0.51 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f10,negated_conjecture,(
% 0.22/0.51 ( inverse(sk_c1) = sk_c6| inverse(sk_c6) = sk_c5 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f11,negated_conjecture,(
% 0.22/0.51 ( inverse(sk_c1) = sk_c6| inverse(sk_c7) = sk_c5 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f12,negated_conjecture,(
% 0.22/0.51 ( inverse(sk_c1) = sk_c6| multiply(sk_c6,sk_c4) = sk_c5 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f13,negated_conjecture,(
% 0.22/0.51 ( inverse(sk_c1) = sk_c6| multiply(sk_c3,sk_c6) = sk_c4 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f14,negated_conjecture,(
% 0.22/0.51 ( inverse(sk_c1) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f15,negated_conjecture,(
% 0.22/0.51 ( inverse(sk_c2) = sk_c6| inverse(sk_c6) = sk_c5 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f16,negated_conjecture,(
% 0.22/0.51 ( inverse(sk_c2) = sk_c6| inverse(sk_c7) = sk_c5 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f17,negated_conjecture,(
% 0.22/0.51 ( inverse(sk_c2) = sk_c6| multiply(sk_c6,sk_c4) = sk_c5 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f18,negated_conjecture,(
% 0.22/0.51 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c4 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f19,negated_conjecture,(
% 0.22/0.51 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f20,negated_conjecture,(
% 0.22/0.51 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c6) = sk_c5 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f21,negated_conjecture,(
% 0.22/0.51 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c7) = sk_c5 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f22,negated_conjecture,(
% 0.22/0.51 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c6,sk_c4) = sk_c5 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f23,negated_conjecture,(
% 0.22/0.51 ( multiply(sk_c2,sk_c5) = sk_c6| multiply(sk_c3,sk_c6) = sk_c4 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f24,negated_conjecture,(
% 0.22/0.51 ( multiply(sk_c2,sk_c5) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.51 fof(f25,negated_conjecture,(
% 0.22/0.51 (![X3,X4,X1,X2]: (( multiply(sk_c6,sk_c7) != sk_c5| multiply(X3,sk_c6) != sk_c7| inverse(X3) != sk_c6| inverse(X4) != sk_c6| multiply(X4,sk_c5) != sk_c6| inverse(sk_c6) != sk_c5| inverse(sk_c7) != sk_c5| multiply(sk_c6,X1) != sk_c5| multiply(X2,sk_c6) != X1| inverse(X2) != sk_c6 ) ))),
% 0.22/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.52 fof(f26,plain,(
% 0.22/0.52 ![X0]: (multiply(identity,X0)=X0)),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f1])).
% 0.22/0.52 fof(f27,plain,(
% 0.22/0.52 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f2])).
% 0.22/0.52 fof(f28,plain,(
% 0.22/0.52 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f3])).
% 0.22/0.52 fof(f29,plain,(
% 0.22/0.52 multiply(sk_c6,sk_c7)=sk_c5),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f4])).
% 0.22/0.52 fof(f30,plain,(
% 0.22/0.52 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c6)=sk_c5),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f5])).
% 0.22/0.52 fof(f31,plain,(
% 0.22/0.52 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c7)=sk_c5),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f6])).
% 0.22/0.52 fof(f32,plain,(
% 0.22/0.52 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c6,sk_c4)=sk_c5),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f7])).
% 0.22/0.52 fof(f33,plain,(
% 0.22/0.52 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c3,sk_c6)=sk_c4),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f8])).
% 0.22/0.52 fof(f34,plain,(
% 0.22/0.52 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f9])).
% 0.22/0.52 fof(f35,plain,(
% 0.22/0.52 inverse(sk_c1)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f10])).
% 0.22/0.52 fof(f36,plain,(
% 0.22/0.52 inverse(sk_c1)=sk_c6|inverse(sk_c7)=sk_c5),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f11])).
% 0.22/0.52 fof(f37,plain,(
% 0.22/0.52 inverse(sk_c1)=sk_c6|multiply(sk_c6,sk_c4)=sk_c5),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f12])).
% 0.22/0.52 fof(f38,plain,(
% 0.22/0.52 inverse(sk_c1)=sk_c6|multiply(sk_c3,sk_c6)=sk_c4),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f13])).
% 0.22/0.52 fof(f39,plain,(
% 0.22/0.52 inverse(sk_c1)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f14])).
% 0.22/0.52 fof(f40,plain,(
% 0.22/0.52 inverse(sk_c2)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f15])).
% 0.22/0.52 fof(f41,plain,(
% 0.22/0.52 inverse(sk_c2)=sk_c6|inverse(sk_c7)=sk_c5),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f16])).
% 0.22/0.52 fof(f42,plain,(
% 0.22/0.52 inverse(sk_c2)=sk_c6|multiply(sk_c6,sk_c4)=sk_c5),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f17])).
% 0.22/0.52 fof(f43,plain,(
% 0.22/0.52 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c4),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f18])).
% 0.22/0.52 fof(f44,plain,(
% 0.22/0.52 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f19])).
% 0.22/0.52 fof(f45,plain,(
% 0.22/0.52 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c6)=sk_c5),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f20])).
% 0.22/0.52 fof(f46,plain,(
% 0.22/0.52 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c7)=sk_c5),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f21])).
% 0.22/0.52 fof(f47,plain,(
% 0.22/0.52 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c6,sk_c4)=sk_c5),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f22])).
% 0.22/0.52 fof(f48,plain,(
% 0.22/0.52 multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c3,sk_c6)=sk_c4),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f23])).
% 0.22/0.52 fof(f49,plain,(
% 0.22/0.52 multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f24])).
% 0.22/0.52 fof(f50,plain,(
% 0.22/0.52 ![X2]: ((![X1]: (((((![X4]: (((![X3]: ((~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X3,sk_c6)=sk_c7)|~inverse(X3)=sk_c6))|~inverse(X4)=sk_c6)|~multiply(X4,sk_c5)=sk_c6))|~inverse(sk_c6)=sk_c5)|~inverse(sk_c7)=sk_c5)|~multiply(sk_c6,X1)=sk_c5)|~multiply(X2,sk_c6)=X1))|~inverse(X2)=sk_c6)),
% 0.22/0.52 inference(miniscoping,[status(esa)],[f25])).
% 0.22/0.52 fof(f51,plain,(
% 0.22/0.52 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6|~inverse(sk_c6)=sk_c5|~inverse(sk_c7)=sk_c5|~multiply(sk_c6,X2)=sk_c5|~multiply(X3,sk_c6)=X2|~inverse(X3)=sk_c6)),
% 0.22/0.52 inference(cnf_transformation,[status(esa)],[f50])).
% 0.22/0.52 fof(f52,plain,(
% 0.22/0.52 spl0_0 <=> multiply(sk_c1,sk_c6)=sk_c7),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f53,plain,(
% 0.22/0.52 multiply(sk_c1,sk_c6)=sk_c7|~spl0_0),
% 0.22/0.52 inference(component_clause,[status(thm)],[f52])).
% 0.22/0.52 fof(f55,plain,(
% 0.22/0.52 spl0_1 <=> inverse(sk_c6)=sk_c5),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f56,plain,(
% 0.22/0.52 inverse(sk_c6)=sk_c5|~spl0_1),
% 0.22/0.52 inference(component_clause,[status(thm)],[f55])).
% 0.22/0.52 fof(f57,plain,(
% 0.22/0.52 ~inverse(sk_c6)=sk_c5|spl0_1),
% 0.22/0.52 inference(component_clause,[status(thm)],[f55])).
% 0.22/0.52 fof(f58,plain,(
% 0.22/0.52 spl0_0|spl0_1),
% 0.22/0.52 inference(split_clause,[status(thm)],[f30,f52,f55])).
% 0.22/0.52 fof(f59,plain,(
% 0.22/0.52 spl0_2 <=> inverse(sk_c7)=sk_c5),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f60,plain,(
% 0.22/0.52 inverse(sk_c7)=sk_c5|~spl0_2),
% 0.22/0.52 inference(component_clause,[status(thm)],[f59])).
% 0.22/0.52 fof(f61,plain,(
% 0.22/0.52 ~inverse(sk_c7)=sk_c5|spl0_2),
% 0.22/0.52 inference(component_clause,[status(thm)],[f59])).
% 0.22/0.52 fof(f62,plain,(
% 0.22/0.52 spl0_0|spl0_2),
% 0.22/0.52 inference(split_clause,[status(thm)],[f31,f52,f59])).
% 0.22/0.52 fof(f63,plain,(
% 0.22/0.52 spl0_3 <=> multiply(sk_c6,sk_c4)=sk_c5),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f64,plain,(
% 0.22/0.52 multiply(sk_c6,sk_c4)=sk_c5|~spl0_3),
% 0.22/0.52 inference(component_clause,[status(thm)],[f63])).
% 0.22/0.52 fof(f66,plain,(
% 0.22/0.52 spl0_0|spl0_3),
% 0.22/0.52 inference(split_clause,[status(thm)],[f32,f52,f63])).
% 0.22/0.52 fof(f67,plain,(
% 0.22/0.52 spl0_4 <=> multiply(sk_c3,sk_c6)=sk_c4),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f68,plain,(
% 0.22/0.52 multiply(sk_c3,sk_c6)=sk_c4|~spl0_4),
% 0.22/0.52 inference(component_clause,[status(thm)],[f67])).
% 0.22/0.52 fof(f70,plain,(
% 0.22/0.52 spl0_0|spl0_4),
% 0.22/0.52 inference(split_clause,[status(thm)],[f33,f52,f67])).
% 0.22/0.52 fof(f71,plain,(
% 0.22/0.52 spl0_5 <=> inverse(sk_c3)=sk_c6),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f72,plain,(
% 0.22/0.52 inverse(sk_c3)=sk_c6|~spl0_5),
% 0.22/0.52 inference(component_clause,[status(thm)],[f71])).
% 0.22/0.52 fof(f74,plain,(
% 0.22/0.52 spl0_0|spl0_5),
% 0.22/0.52 inference(split_clause,[status(thm)],[f34,f52,f71])).
% 0.22/0.52 fof(f75,plain,(
% 0.22/0.52 spl0_6 <=> inverse(sk_c1)=sk_c6),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f76,plain,(
% 0.22/0.52 inverse(sk_c1)=sk_c6|~spl0_6),
% 0.22/0.52 inference(component_clause,[status(thm)],[f75])).
% 0.22/0.52 fof(f77,plain,(
% 0.22/0.52 ~inverse(sk_c1)=sk_c6|spl0_6),
% 0.22/0.52 inference(component_clause,[status(thm)],[f75])).
% 0.22/0.52 fof(f78,plain,(
% 0.22/0.52 spl0_6|spl0_1),
% 0.22/0.52 inference(split_clause,[status(thm)],[f35,f75,f55])).
% 0.22/0.52 fof(f79,plain,(
% 0.22/0.52 spl0_6|spl0_2),
% 0.22/0.52 inference(split_clause,[status(thm)],[f36,f75,f59])).
% 0.22/0.52 fof(f80,plain,(
% 0.22/0.52 spl0_6|spl0_3),
% 0.22/0.52 inference(split_clause,[status(thm)],[f37,f75,f63])).
% 0.22/0.52 fof(f81,plain,(
% 0.22/0.52 spl0_6|spl0_4),
% 0.22/0.52 inference(split_clause,[status(thm)],[f38,f75,f67])).
% 0.22/0.52 fof(f82,plain,(
% 0.22/0.52 spl0_6|spl0_5),
% 0.22/0.52 inference(split_clause,[status(thm)],[f39,f75,f71])).
% 0.22/0.52 fof(f83,plain,(
% 0.22/0.52 spl0_7 <=> inverse(sk_c2)=sk_c6),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f84,plain,(
% 0.22/0.52 inverse(sk_c2)=sk_c6|~spl0_7),
% 0.22/0.52 inference(component_clause,[status(thm)],[f83])).
% 0.22/0.52 fof(f86,plain,(
% 0.22/0.52 spl0_7|spl0_1),
% 0.22/0.52 inference(split_clause,[status(thm)],[f40,f83,f55])).
% 0.22/0.52 fof(f87,plain,(
% 0.22/0.52 spl0_7|spl0_2),
% 0.22/0.52 inference(split_clause,[status(thm)],[f41,f83,f59])).
% 0.22/0.52 fof(f88,plain,(
% 0.22/0.52 spl0_7|spl0_3),
% 0.22/0.52 inference(split_clause,[status(thm)],[f42,f83,f63])).
% 0.22/0.52 fof(f89,plain,(
% 0.22/0.52 spl0_7|spl0_4),
% 0.22/0.52 inference(split_clause,[status(thm)],[f43,f83,f67])).
% 0.22/0.52 fof(f90,plain,(
% 0.22/0.52 spl0_7|spl0_5),
% 0.22/0.52 inference(split_clause,[status(thm)],[f44,f83,f71])).
% 0.22/0.52 fof(f91,plain,(
% 0.22/0.52 spl0_8 <=> multiply(sk_c2,sk_c5)=sk_c6),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f92,plain,(
% 0.22/0.52 multiply(sk_c2,sk_c5)=sk_c6|~spl0_8),
% 0.22/0.52 inference(component_clause,[status(thm)],[f91])).
% 0.22/0.52 fof(f94,plain,(
% 0.22/0.52 spl0_8|spl0_1),
% 0.22/0.52 inference(split_clause,[status(thm)],[f45,f91,f55])).
% 0.22/0.52 fof(f95,plain,(
% 0.22/0.52 spl0_8|spl0_2),
% 0.22/0.52 inference(split_clause,[status(thm)],[f46,f91,f59])).
% 0.22/0.52 fof(f96,plain,(
% 0.22/0.52 spl0_8|spl0_3),
% 0.22/0.52 inference(split_clause,[status(thm)],[f47,f91,f63])).
% 0.22/0.52 fof(f97,plain,(
% 0.22/0.52 spl0_8|spl0_4),
% 0.22/0.52 inference(split_clause,[status(thm)],[f48,f91,f67])).
% 0.22/0.52 fof(f98,plain,(
% 0.22/0.52 spl0_8|spl0_5),
% 0.22/0.52 inference(split_clause,[status(thm)],[f49,f91,f71])).
% 0.22/0.52 fof(f99,plain,(
% 0.22/0.52 spl0_9 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f101,plain,(
% 0.22/0.52 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_9),
% 0.22/0.52 inference(component_clause,[status(thm)],[f99])).
% 0.22/0.52 fof(f102,plain,(
% 0.22/0.52 spl0_10 <=> ~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f103,plain,(
% 0.22/0.52 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~spl0_10)),
% 0.22/0.52 inference(component_clause,[status(thm)],[f102])).
% 0.22/0.52 fof(f105,plain,(
% 0.22/0.52 spl0_11 <=> ~inverse(X1)=sk_c6|~multiply(X1,sk_c5)=sk_c6),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f106,plain,(
% 0.22/0.52 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~spl0_11)),
% 0.22/0.52 inference(component_clause,[status(thm)],[f105])).
% 0.22/0.52 fof(f108,plain,(
% 0.22/0.52 spl0_12 <=> ~multiply(sk_c6,X2)=sk_c5|~multiply(X3,sk_c6)=X2|~inverse(X3)=sk_c6),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f109,plain,(
% 0.22/0.52 ![X0,X1]: (~multiply(sk_c6,X0)=sk_c5|~multiply(X1,sk_c6)=X0|~inverse(X1)=sk_c6|~spl0_12)),
% 0.22/0.52 inference(component_clause,[status(thm)],[f108])).
% 0.22/0.52 fof(f111,plain,(
% 0.22/0.52 ~spl0_9|spl0_10|spl0_11|~spl0_1|~spl0_2|spl0_12),
% 0.22/0.52 inference(split_clause,[status(thm)],[f51,f99,f102,f105,f55,f59,f108])).
% 0.22/0.52 fof(f112,plain,(
% 0.22/0.52 ~sk_c5=sk_c5|spl0_9),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f29,f101])).
% 0.22/0.52 fof(f113,plain,(
% 0.22/0.52 $false|spl0_9),
% 0.22/0.52 inference(trivial_equality_resolution,[status(esa)],[f112])).
% 0.22/0.52 fof(f114,plain,(
% 0.22/0.52 spl0_9),
% 0.22/0.52 inference(contradiction_clause,[status(thm)],[f113])).
% 0.22/0.52 fof(f115,plain,(
% 0.22/0.52 ![X0]: (~multiply(sk_c6,multiply(X0,sk_c6))=sk_c5|~inverse(X0)=sk_c6|~spl0_12)),
% 0.22/0.52 inference(destructive_equality_resolution,[status(esa)],[f109])).
% 0.22/0.52 fof(f119,plain,(
% 0.22/0.52 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0)))),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f29,f28])).
% 0.22/0.52 fof(f124,plain,(
% 0.22/0.52 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f27,f28])).
% 0.22/0.52 fof(f125,plain,(
% 0.22/0.52 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f26,f124])).
% 0.22/0.52 fof(f126,plain,(
% 0.22/0.52 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f125,f125])).
% 0.22/0.52 fof(f127,plain,(
% 0.22/0.52 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f27,f125])).
% 0.22/0.52 fof(f128,plain,(
% 0.22/0.52 ![X0]: (X0=multiply(X0,identity))),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f126,f127])).
% 0.22/0.52 fof(f132,plain,(
% 0.22/0.52 sk_c7=multiply(inverse(sk_c6),sk_c5)),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f29,f125])).
% 0.22/0.52 fof(f135,plain,(
% 0.22/0.52 inverse(identity)=identity),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f27,f128])).
% 0.22/0.52 fof(f151,plain,(
% 0.22/0.52 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f27,f126])).
% 0.22/0.52 fof(f152,plain,(
% 0.22/0.52 ![X0]: (multiply(X0,identity)=inverse(inverse(X0)))),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f128,f126])).
% 0.22/0.52 fof(f153,plain,(
% 0.22/0.52 ![X0]: (X0=inverse(inverse(X0)))),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f128,f152])).
% 0.22/0.52 fof(f169,plain,(
% 0.22/0.52 ![X0,X1]: (multiply(X0,multiply(X1,inverse(multiply(X0,X1))))=identity)),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f28,f151])).
% 0.22/0.52 fof(f173,plain,(
% 0.22/0.52 multiply(sk_c5,inverse(sk_c7))=multiply(sk_c6,identity)),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f151,f119])).
% 0.22/0.52 fof(f174,plain,(
% 0.22/0.52 multiply(sk_c5,inverse(sk_c7))=sk_c6),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f128,f173])).
% 0.22/0.52 fof(f197,plain,(
% 0.22/0.52 inverse(sk_c7)=multiply(inverse(sk_c5),sk_c6)),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f174,f125])).
% 0.22/0.52 fof(f260,plain,(
% 0.22/0.52 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=multiply(inverse(X1),identity))),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f169,f125])).
% 0.22/0.52 fof(f261,plain,(
% 0.22/0.52 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=inverse(X1))),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f128,f260])).
% 0.22/0.52 fof(f391,plain,(
% 0.22/0.52 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),inverse(inverse(X0)))=inverse(X1))),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f261,f261])).
% 0.22/0.52 fof(f392,plain,(
% 0.22/0.52 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),X0)=inverse(X1))),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f153,f391])).
% 0.22/0.52 fof(f1877,plain,(
% 0.22/0.52 sk_c2=inverse(sk_c6)|~spl0_7),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f84,f153])).
% 0.22/0.52 fof(f1896,plain,(
% 0.22/0.52 sk_c7=multiply(sk_c2,sk_c5)|~spl0_7),
% 0.22/0.52 inference(backward_demodulation,[status(thm)],[f1877,f132])).
% 0.22/0.52 fof(f1897,plain,(
% 0.22/0.52 sk_c7=sk_c6|~spl0_8|~spl0_7),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f92,f1896])).
% 0.22/0.52 fof(f1921,plain,(
% 0.22/0.52 multiply(sk_c6,sk_c6)=sk_c5|~spl0_8|~spl0_7),
% 0.22/0.52 inference(backward_demodulation,[status(thm)],[f1897,f29])).
% 0.22/0.52 fof(f1940,plain,(
% 0.22/0.52 multiply(sk_c1,sk_c6)=identity|~spl0_6),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f76,f151])).
% 0.22/0.52 fof(f1941,plain,(
% 0.22/0.52 sk_c1=inverse(sk_c6)|~spl0_6),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f76,f153])).
% 0.22/0.52 fof(f1942,plain,(
% 0.22/0.52 sk_c1=sk_c2|~spl0_7|~spl0_6),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f1877,f1941])).
% 0.22/0.52 fof(f1962,plain,(
% 0.22/0.52 multiply(sk_c1,sk_c5)=sk_c6|~spl0_7|~spl0_6|~spl0_8),
% 0.22/0.52 inference(backward_demodulation,[status(thm)],[f1942,f92])).
% 0.22/0.52 fof(f1969,plain,(
% 0.22/0.52 multiply(sk_c3,sk_c6)=identity|~spl0_5),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f72,f151])).
% 0.22/0.52 fof(f1970,plain,(
% 0.22/0.52 sk_c4=identity|~spl0_4|~spl0_5),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f68,f1969])).
% 0.22/0.52 fof(f1971,plain,(
% 0.22/0.52 sk_c3=inverse(sk_c6)|~spl0_5),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f72,f153])).
% 0.22/0.52 fof(f1974,plain,(
% 0.22/0.52 multiply(sk_c6,identity)=sk_c5|~spl0_4|~spl0_5|~spl0_3),
% 0.22/0.52 inference(backward_demodulation,[status(thm)],[f1970,f64])).
% 0.22/0.52 fof(f1975,plain,(
% 0.22/0.52 sk_c6=sk_c5|~spl0_4|~spl0_5|~spl0_3),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f128,f1974])).
% 0.22/0.52 fof(f1993,plain,(
% 0.22/0.52 ![X0]: (~multiply(sk_c6,multiply(X0,sk_c6))=sk_c6|~inverse(X0)=sk_c6|~spl0_4|~spl0_5|~spl0_3|~spl0_12)),
% 0.22/0.52 inference(backward_demodulation,[status(thm)],[f1975,f115])).
% 0.22/0.52 fof(f2007,plain,(
% 0.22/0.52 spl0_13 <=> inverse(inverse(sk_c5))=sk_c6),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f2008,plain,(
% 0.22/0.52 inverse(inverse(sk_c5))=sk_c6|~spl0_13),
% 0.22/0.52 inference(component_clause,[status(thm)],[f2007])).
% 0.22/0.52 fof(f2009,plain,(
% 0.22/0.52 ~inverse(inverse(sk_c5))=sk_c6|spl0_13),
% 0.22/0.52 inference(component_clause,[status(thm)],[f2007])).
% 0.22/0.52 fof(f2015,plain,(
% 0.22/0.52 spl0_15 <=> inverse(identity)=sk_c6),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f2016,plain,(
% 0.22/0.52 inverse(identity)=sk_c6|~spl0_15),
% 0.22/0.52 inference(component_clause,[status(thm)],[f2015])).
% 0.22/0.52 fof(f2017,plain,(
% 0.22/0.52 ~inverse(identity)=sk_c6|spl0_15),
% 0.22/0.52 inference(component_clause,[status(thm)],[f2015])).
% 0.22/0.52 fof(f2018,plain,(
% 0.22/0.52 spl0_16 <=> sk_c5=sk_c6),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f2020,plain,(
% 0.22/0.52 ~sk_c5=sk_c6|spl0_16),
% 0.22/0.52 inference(component_clause,[status(thm)],[f2018])).
% 0.22/0.52 fof(f2021,plain,(
% 0.22/0.52 ~inverse(identity)=sk_c6|~sk_c5=sk_c6|~spl0_11),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f26,f106])).
% 0.22/0.52 fof(f2022,plain,(
% 0.22/0.52 ~spl0_15|~spl0_16|~spl0_11),
% 0.22/0.52 inference(split_clause,[status(thm)],[f2021,f2015,f2018,f105])).
% 0.22/0.52 fof(f2024,plain,(
% 0.22/0.52 ~identity=sk_c6|spl0_15),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f135,f2017])).
% 0.22/0.52 fof(f2068,plain,(
% 0.22/0.52 multiply(inverse(sk_c5),sk_c6)=inverse(sk_c4)|~spl0_3),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f64,f392])).
% 0.22/0.52 fof(f2069,plain,(
% 0.22/0.52 multiply(sk_c4,inverse(sk_c5))=inverse(sk_c6)|~spl0_3),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f64,f261])).
% 0.22/0.52 fof(f2071,plain,(
% 0.22/0.52 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c4,X0))|~spl0_3)),
% 0.22/0.52 inference(paramodulation,[status(thm)],[f64,f28])).
% 0.22/0.52 fof(f2144,plain,(
% 0.22/0.52 spl0_18 <=> inverse(inverse(sk_c6))=sk_c6),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f2146,plain,(
% 0.22/0.52 ~inverse(inverse(sk_c6))=sk_c6|spl0_18),
% 0.22/0.52 inference(component_clause,[status(thm)],[f2144])).
% 0.22/0.52 fof(f2149,plain,(
% 0.22/0.52 spl0_19 <=> sk_c6=sk_c6),
% 0.22/0.52 introduced(split_symbol_definition)).
% 0.22/0.52 fof(f2151,plain,(
% 0.22/0.52 ~sk_c6=sk_c6|spl0_19),
% 0.22/0.52 inference(component_clause,[status(thm)],[f2149])).
% 0.22/0.52 fof(f2155,plain,(
% 0.22/0.52 $false|spl0_19),
% 0.22/0.52 inference(trivial_equality_resolution,[status(esa)],[f2151])).
% 0.22/0.52 fof(f2156,plain,(
% 0.22/0.52 spl0_19),
% 0.22/0.52 inference(contradiction_clause,[status(thm)],[f2155])).
% 0.22/0.52 fof(f2157,plain,(
% 0.22/0.52 ~sk_c6=sk_c6|spl0_18),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f153,f2146])).
% 0.22/0.52 fof(f2158,plain,(
% 0.22/0.52 $false|spl0_18),
% 0.22/0.52 inference(trivial_equality_resolution,[status(esa)],[f2157])).
% 0.22/0.52 fof(f2159,plain,(
% 0.22/0.52 spl0_18),
% 0.22/0.52 inference(contradiction_clause,[status(thm)],[f2158])).
% 0.22/0.52 fof(f2160,plain,(
% 0.22/0.52 multiply(sk_c6,identity)=sk_c5|~spl0_4|~spl0_5|~spl0_3),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f1970,f64])).
% 0.22/0.52 fof(f2161,plain,(
% 0.22/0.52 sk_c6=sk_c5|~spl0_4|~spl0_5|~spl0_3),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f128,f2160])).
% 0.22/0.52 fof(f2162,plain,(
% 0.22/0.52 $false|spl0_16|~spl0_4|~spl0_5|~spl0_3),
% 0.22/0.52 inference(forward_subsumption_resolution,[status(thm)],[f2161,f2020])).
% 0.22/0.52 fof(f2163,plain,(
% 0.22/0.52 spl0_16|~spl0_4|~spl0_5|~spl0_3),
% 0.22/0.52 inference(contradiction_clause,[status(thm)],[f2162])).
% 0.22/0.52 fof(f2164,plain,(
% 0.22/0.52 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(identity,X0))|~spl0_4|~spl0_5|~spl0_3)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f1970,f2071])).
% 0.22/0.52 fof(f2165,plain,(
% 0.22/0.52 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,X0)|~spl0_4|~spl0_5|~spl0_3)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f26,f2164])).
% 0.22/0.52 fof(f2169,plain,(
% 0.22/0.52 multiply(identity,inverse(sk_c5))=inverse(sk_c6)|~spl0_4|~spl0_5|~spl0_3),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f1970,f2069])).
% 0.22/0.52 fof(f2170,plain,(
% 0.22/0.52 inverse(sk_c5)=inverse(sk_c6)|~spl0_4|~spl0_5|~spl0_3),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f26,f2169])).
% 0.22/0.52 fof(f2171,plain,(
% 0.22/0.52 inverse(sk_c5)=sk_c5|~spl0_1|~spl0_4|~spl0_5|~spl0_3),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f56,f2170])).
% 0.22/0.52 fof(f2172,plain,(
% 0.22/0.52 multiply(sk_c5,sk_c6)=inverse(sk_c4)|~spl0_1|~spl0_4|~spl0_5|~spl0_3),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2171,f2068])).
% 0.22/0.52 fof(f2173,plain,(
% 0.22/0.52 multiply(sk_c6,sk_c6)=inverse(sk_c4)|~spl0_1|~spl0_4|~spl0_5|~spl0_3),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2165,f2172])).
% 0.22/0.52 fof(f2174,plain,(
% 0.22/0.52 multiply(sk_c6,sk_c6)=inverse(identity)|~spl0_1|~spl0_4|~spl0_5|~spl0_3),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f1970,f2173])).
% 0.22/0.52 fof(f2175,plain,(
% 0.22/0.52 multiply(sk_c6,sk_c6)=identity|~spl0_1|~spl0_4|~spl0_5|~spl0_3),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f135,f2174])).
% 0.22/0.52 fof(f2203,plain,(
% 0.22/0.52 sk_c5=multiply(inverse(sk_c5),sk_c6)|~spl0_2),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f60,f197])).
% 0.22/0.52 fof(f2204,plain,(
% 0.22/0.52 sk_c6=multiply(inverse(sk_c5),sk_c6)|~spl0_4|~spl0_5|~spl0_3|~spl0_2),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f1975,f2203])).
% 0.22/0.52 fof(f2205,plain,(
% 0.22/0.52 sk_c6=multiply(sk_c5,sk_c6)|~spl0_1|~spl0_4|~spl0_5|~spl0_3|~spl0_2),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2171,f2204])).
% 0.22/0.52 fof(f2206,plain,(
% 0.22/0.52 sk_c6=multiply(sk_c6,sk_c6)|~spl0_1|~spl0_4|~spl0_5|~spl0_3|~spl0_2),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2165,f2205])).
% 0.22/0.52 fof(f2207,plain,(
% 0.22/0.52 sk_c6=identity|~spl0_1|~spl0_4|~spl0_5|~spl0_3|~spl0_2),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2175,f2206])).
% 0.22/0.52 fof(f2208,plain,(
% 0.22/0.52 $false|spl0_15|~spl0_1|~spl0_4|~spl0_5|~spl0_3|~spl0_2),
% 0.22/0.52 inference(forward_subsumption_resolution,[status(thm)],[f2207,f2024])).
% 0.22/0.52 fof(f2209,plain,(
% 0.22/0.52 spl0_15|~spl0_1|~spl0_4|~spl0_5|~spl0_3|~spl0_2),
% 0.22/0.52 inference(contradiction_clause,[status(thm)],[f2208])).
% 0.22/0.52 fof(f2211,plain,(
% 0.22/0.52 identity=sk_c7|~spl0_6|~spl0_0),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f1940,f53])).
% 0.22/0.52 fof(f2212,plain,(
% 0.22/0.52 identity=multiply(sk_c2,sk_c5)|~spl0_6|~spl0_0|~spl0_7),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2211,f1896])).
% 0.22/0.52 fof(f2213,plain,(
% 0.22/0.52 identity=multiply(sk_c1,sk_c5)|~spl0_6|~spl0_0|~spl0_7),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f1942,f2212])).
% 0.22/0.52 fof(f2219,plain,(
% 0.22/0.52 identity=sk_c6|~spl0_6|~spl0_0|~spl0_8|~spl0_7),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2211,f1897])).
% 0.22/0.52 fof(f2220,plain,(
% 0.22/0.52 $false|spl0_15|~spl0_6|~spl0_0|~spl0_8|~spl0_7),
% 0.22/0.52 inference(forward_subsumption_resolution,[status(thm)],[f2219,f2024])).
% 0.22/0.52 fof(f2221,plain,(
% 0.22/0.52 spl0_15|~spl0_6|~spl0_0|~spl0_8|~spl0_7),
% 0.22/0.52 inference(contradiction_clause,[status(thm)],[f2220])).
% 0.22/0.52 fof(f2222,plain,(
% 0.22/0.52 inverse(identity)=sk_c5|~spl0_6|~spl0_0|~spl0_2),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2211,f60])).
% 0.22/0.52 fof(f2223,plain,(
% 0.22/0.52 identity=sk_c5|~spl0_6|~spl0_0|~spl0_2),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f135,f2222])).
% 0.22/0.52 fof(f2225,plain,(
% 0.22/0.52 identity=multiply(inverse(sk_c5),sk_c6)|~spl0_6|~spl0_0|~spl0_2),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2223,f2203])).
% 0.22/0.52 fof(f2226,plain,(
% 0.22/0.52 identity=multiply(inverse(identity),sk_c6)|~spl0_6|~spl0_0|~spl0_2),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2223,f2225])).
% 0.22/0.52 fof(f2227,plain,(
% 0.22/0.52 identity=multiply(identity,sk_c6)|~spl0_6|~spl0_0|~spl0_2),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f135,f2226])).
% 0.22/0.52 fof(f2228,plain,(
% 0.22/0.52 identity=sk_c6|~spl0_6|~spl0_0|~spl0_2),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f26,f2227])).
% 0.22/0.52 fof(f2311,plain,(
% 0.22/0.52 multiply(sk_c6,identity)=sk_c5|~spl0_6|~spl0_0),
% 0.22/0.52 inference(backward_demodulation,[status(thm)],[f2211,f29])).
% 0.22/0.52 fof(f2312,plain,(
% 0.22/0.52 sk_c6=sk_c5|~spl0_6|~spl0_0),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f128,f2311])).
% 0.22/0.52 fof(f2323,plain,(
% 0.22/0.52 ![X0]: (~multiply(X0,sk_c6)=identity|~inverse(X0)=sk_c6|~spl0_6|~spl0_0|~spl0_10)),
% 0.22/0.52 inference(backward_demodulation,[status(thm)],[f2211,f103])).
% 0.22/0.52 fof(f2324,plain,(
% 0.22/0.52 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c6|~spl0_2|~spl0_6|~spl0_0|~spl0_10)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2228,f2323])).
% 0.22/0.52 fof(f2325,plain,(
% 0.22/0.52 ![X0]: (~X0=identity|~inverse(X0)=sk_c6|~spl0_2|~spl0_6|~spl0_0|~spl0_10)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f128,f2324])).
% 0.22/0.52 fof(f2326,plain,(
% 0.22/0.52 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_2|~spl0_6|~spl0_0|~spl0_10)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2228,f2325])).
% 0.22/0.52 fof(f2327,plain,(
% 0.22/0.52 ~inverse(identity)=identity|~spl0_2|~spl0_6|~spl0_0|~spl0_10),
% 0.22/0.52 inference(destructive_equality_resolution,[status(esa)],[f2326])).
% 0.22/0.52 fof(f2328,plain,(
% 0.22/0.52 $false|~spl0_2|~spl0_6|~spl0_0|~spl0_10),
% 0.22/0.52 inference(forward_subsumption_resolution,[status(thm)],[f2327,f135])).
% 0.22/0.52 fof(f2329,plain,(
% 0.22/0.52 ~spl0_2|~spl0_6|~spl0_0|~spl0_10),
% 0.22/0.52 inference(contradiction_clause,[status(thm)],[f2328])).
% 0.22/0.52 fof(f2330,plain,(
% 0.22/0.52 identity=sk_c6|~spl0_15),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f135,f2016])).
% 0.22/0.52 fof(f2412,plain,(
% 0.22/0.52 ~sk_c5=sk_c6|spl0_13),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f153,f2009])).
% 0.22/0.52 fof(f2413,plain,(
% 0.22/0.52 ~identity=sk_c6|~spl0_6|~spl0_0|~spl0_2|spl0_13),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2223,f2412])).
% 0.22/0.52 fof(f2414,plain,(
% 0.22/0.52 ~identity=identity|~spl0_6|~spl0_0|~spl0_2|spl0_13),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2228,f2413])).
% 0.22/0.52 fof(f2415,plain,(
% 0.22/0.52 $false|~spl0_6|~spl0_0|~spl0_2|spl0_13),
% 0.22/0.52 inference(trivial_equality_resolution,[status(esa)],[f2414])).
% 0.22/0.52 fof(f2416,plain,(
% 0.22/0.52 ~spl0_6|~spl0_0|~spl0_2|spl0_13),
% 0.22/0.52 inference(contradiction_clause,[status(thm)],[f2415])).
% 0.22/0.52 fof(f2419,plain,(
% 0.22/0.52 identity=sk_c6|~spl0_0|~spl0_7|~spl0_6|~spl0_8),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2213,f1962])).
% 0.22/0.52 fof(f2456,plain,(
% 0.22/0.52 multiply(identity,sk_c6)=sk_c5|~spl0_0|~spl0_6|~spl0_8|~spl0_7),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2419,f1921])).
% 0.22/0.52 fof(f2457,plain,(
% 0.22/0.52 sk_c6=sk_c5|~spl0_0|~spl0_6|~spl0_8|~spl0_7),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f26,f2456])).
% 0.22/0.52 fof(f2458,plain,(
% 0.22/0.52 identity=sk_c5|~spl0_0|~spl0_6|~spl0_8|~spl0_7),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2419,f2457])).
% 0.22/0.52 fof(f2559,plain,(
% 0.22/0.52 spl0_16|~spl0_6|~spl0_0),
% 0.22/0.52 inference(split_clause,[status(thm)],[f2312,f2018,f75,f52])).
% 0.22/0.52 fof(f2657,plain,(
% 0.22/0.52 ~inverse(identity)=sk_c5|~spl0_6|~spl0_0|spl0_2),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2211,f61])).
% 0.22/0.52 fof(f2658,plain,(
% 0.22/0.52 ~identity=sk_c5|~spl0_6|~spl0_0|spl0_2),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f135,f2657])).
% 0.22/0.52 fof(f2659,plain,(
% 0.22/0.52 ~identity=identity|~spl0_8|~spl0_7|~spl0_6|~spl0_0|spl0_2),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2458,f2658])).
% 0.22/0.52 fof(f2660,plain,(
% 0.22/0.52 $false|~spl0_8|~spl0_7|~spl0_6|~spl0_0|spl0_2),
% 0.22/0.52 inference(trivial_equality_resolution,[status(esa)],[f2659])).
% 0.22/0.52 fof(f2661,plain,(
% 0.22/0.52 ~spl0_8|~spl0_7|~spl0_6|~spl0_0|spl0_2),
% 0.22/0.52 inference(contradiction_clause,[status(thm)],[f2660])).
% 0.22/0.52 fof(f2683,plain,(
% 0.22/0.52 sk_c5=inverse(sk_c7)|~spl0_2),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f197,f2203])).
% 0.22/0.52 fof(f2688,plain,(
% 0.22/0.52 multiply(identity,sk_c7)=sk_c5|~spl0_15),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2330,f29])).
% 0.22/0.52 fof(f2689,plain,(
% 0.22/0.52 sk_c7=sk_c5|~spl0_15),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f26,f2688])).
% 0.22/0.52 fof(f2694,plain,(
% 0.22/0.52 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c6|~spl0_15|~spl0_10)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2330,f103])).
% 0.22/0.52 fof(f2695,plain,(
% 0.22/0.52 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c6|~spl0_15|~spl0_10)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f128,f2694])).
% 0.22/0.52 fof(f2696,plain,(
% 0.22/0.52 ![X0]: (~X0=sk_c7|~inverse(X0)=identity|~spl0_15|~spl0_10)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2330,f2695])).
% 0.22/0.52 fof(f2697,plain,(
% 0.22/0.52 ~inverse(sk_c7)=identity|~spl0_15|~spl0_10),
% 0.22/0.52 inference(destructive_equality_resolution,[status(esa)],[f2696])).
% 0.22/0.52 fof(f2698,plain,(
% 0.22/0.52 multiply(sk_c1,identity)=sk_c7|~spl0_15|~spl0_0),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2330,f53])).
% 0.22/0.52 fof(f2699,plain,(
% 0.22/0.52 sk_c1=sk_c7|~spl0_15|~spl0_0),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f128,f2698])).
% 0.22/0.52 fof(f2707,plain,(
% 0.22/0.52 multiply(sk_c3,identity)=identity|~spl0_15|~spl0_5),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2330,f1969])).
% 0.22/0.52 fof(f2708,plain,(
% 0.22/0.52 sk_c3=identity|~spl0_15|~spl0_5),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f128,f2707])).
% 0.22/0.52 fof(f2718,plain,(
% 0.22/0.52 identity=inverse(sk_c6)|~spl0_15|~spl0_5),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2708,f1971])).
% 0.22/0.52 fof(f2719,plain,(
% 0.22/0.52 identity=sk_c5|~spl0_1|~spl0_15|~spl0_5),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f56,f2718])).
% 0.22/0.52 fof(f2720,plain,(
% 0.22/0.52 identity=sk_c7|~spl0_1|~spl0_15|~spl0_5),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2689,f2719])).
% 0.22/0.52 fof(f2726,plain,(
% 0.22/0.52 ~inverse(sk_c7)=sk_c6|~spl0_15|~spl0_0|spl0_6),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2699,f77])).
% 0.22/0.52 fof(f2727,plain,(
% 0.22/0.52 ~sk_c5=sk_c6|~spl0_2|~spl0_15|~spl0_0|spl0_6),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2683,f2726])).
% 0.22/0.52 fof(f2728,plain,(
% 0.22/0.52 ~sk_c7=sk_c6|~spl0_2|~spl0_15|~spl0_0|spl0_6),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2689,f2727])).
% 0.22/0.52 fof(f2729,plain,(
% 0.22/0.52 ~identity=sk_c6|~spl0_1|~spl0_5|~spl0_2|~spl0_15|~spl0_0|spl0_6),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2720,f2728])).
% 0.22/0.52 fof(f2730,plain,(
% 0.22/0.52 ~identity=identity|~spl0_1|~spl0_5|~spl0_2|~spl0_15|~spl0_0|spl0_6),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2330,f2729])).
% 0.22/0.52 fof(f2731,plain,(
% 0.22/0.52 $false|~spl0_1|~spl0_5|~spl0_2|~spl0_15|~spl0_0|spl0_6),
% 0.22/0.52 inference(trivial_equality_resolution,[status(esa)],[f2730])).
% 0.22/0.52 fof(f2732,plain,(
% 0.22/0.52 ~spl0_1|~spl0_5|~spl0_2|~spl0_15|~spl0_0|spl0_6),
% 0.22/0.52 inference(contradiction_clause,[status(thm)],[f2731])).
% 0.22/0.52 fof(f2975,plain,(
% 0.22/0.52 sk_c5=sk_c6|~spl0_13),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f153,f2008])).
% 0.22/0.52 fof(f2976,plain,(
% 0.22/0.52 sk_c5=identity|~spl0_15|~spl0_13),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2330,f2975])).
% 0.22/0.52 fof(f3210,plain,(
% 0.22/0.52 ~inverse(identity)=sk_c5|~spl0_15|spl0_1),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2330,f57])).
% 0.22/0.52 fof(f3211,plain,(
% 0.22/0.52 ~identity=sk_c5|~spl0_15|spl0_1),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f135,f3210])).
% 0.22/0.52 fof(f3212,plain,(
% 0.22/0.52 ~identity=identity|~spl0_13|~spl0_15|spl0_1),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2976,f3211])).
% 0.22/0.52 fof(f3213,plain,(
% 0.22/0.52 $false|~spl0_13|~spl0_15|spl0_1),
% 0.22/0.52 inference(trivial_equality_resolution,[status(esa)],[f3212])).
% 0.22/0.52 fof(f3214,plain,(
% 0.22/0.52 ~spl0_13|~spl0_15|spl0_1),
% 0.22/0.52 inference(contradiction_clause,[status(thm)],[f3213])).
% 0.22/0.52 fof(f3222,plain,(
% 0.22/0.52 ![X0]: (~multiply(identity,multiply(X0,sk_c6))=sk_c6|~inverse(X0)=sk_c6|~spl0_15|~spl0_4|~spl0_5|~spl0_3|~spl0_12)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2330,f1993])).
% 0.22/0.52 fof(f3223,plain,(
% 0.22/0.52 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~spl0_15|~spl0_4|~spl0_5|~spl0_3|~spl0_12)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f26,f3222])).
% 0.22/0.52 fof(f3224,plain,(
% 0.22/0.52 ![X0]: (~multiply(X0,identity)=sk_c6|~inverse(X0)=sk_c6|~spl0_15|~spl0_4|~spl0_5|~spl0_3|~spl0_12)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2330,f3223])).
% 0.22/0.52 fof(f3225,plain,(
% 0.22/0.52 ![X0]: (~X0=sk_c6|~inverse(X0)=sk_c6|~spl0_15|~spl0_4|~spl0_5|~spl0_3|~spl0_12)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f128,f3224])).
% 0.22/0.52 fof(f3226,plain,(
% 0.22/0.52 ![X0]: (~X0=identity|~inverse(X0)=sk_c6|~spl0_15|~spl0_4|~spl0_5|~spl0_3|~spl0_12)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2330,f3225])).
% 0.22/0.52 fof(f3227,plain,(
% 0.22/0.52 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_15|~spl0_4|~spl0_5|~spl0_3|~spl0_12)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2330,f3226])).
% 0.22/0.52 fof(f3228,plain,(
% 0.22/0.52 ~inverse(identity)=identity|~spl0_15|~spl0_4|~spl0_5|~spl0_3|~spl0_12),
% 0.22/0.52 inference(destructive_equality_resolution,[status(esa)],[f3227])).
% 0.22/0.52 fof(f3229,plain,(
% 0.22/0.52 $false|~spl0_15|~spl0_4|~spl0_5|~spl0_3|~spl0_12),
% 0.22/0.52 inference(forward_subsumption_resolution,[status(thm)],[f3228,f135])).
% 0.22/0.52 fof(f3230,plain,(
% 0.22/0.52 ~spl0_15|~spl0_4|~spl0_5|~spl0_3|~spl0_12),
% 0.22/0.52 inference(contradiction_clause,[status(thm)],[f3229])).
% 0.22/0.52 fof(f3274,plain,(
% 0.22/0.52 ![X0]: (~multiply(identity,multiply(X0,sk_c6))=sk_c5|~inverse(X0)=sk_c6|~spl0_15|~spl0_12)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2330,f115])).
% 0.22/0.52 fof(f3275,plain,(
% 0.22/0.52 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~spl0_15|~spl0_12)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f26,f3274])).
% 0.22/0.52 fof(f3276,plain,(
% 0.22/0.52 ![X0]: (~multiply(X0,identity)=sk_c5|~inverse(X0)=sk_c6|~spl0_15|~spl0_12)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2330,f3275])).
% 0.22/0.52 fof(f3277,plain,(
% 0.22/0.52 ![X0]: (~X0=sk_c5|~inverse(X0)=sk_c6|~spl0_15|~spl0_12)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f128,f3276])).
% 0.22/0.52 fof(f3278,plain,(
% 0.22/0.52 ![X0]: (~X0=identity|~inverse(X0)=sk_c6|~spl0_13|~spl0_15|~spl0_12)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2976,f3277])).
% 0.22/0.52 fof(f3279,plain,(
% 0.22/0.52 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_13|~spl0_15|~spl0_12)),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f2330,f3278])).
% 0.22/0.52 fof(f3280,plain,(
% 0.22/0.52 ~inverse(identity)=identity|~spl0_13|~spl0_15|~spl0_12),
% 0.22/0.52 inference(destructive_equality_resolution,[status(esa)],[f3279])).
% 0.22/0.52 fof(f3281,plain,(
% 0.22/0.52 $false|~spl0_13|~spl0_15|~spl0_12),
% 0.22/0.52 inference(forward_subsumption_resolution,[status(thm)],[f3280,f135])).
% 0.22/0.52 fof(f3282,plain,(
% 0.22/0.52 ~spl0_13|~spl0_15|~spl0_12),
% 0.22/0.52 inference(contradiction_clause,[status(thm)],[f3281])).
% 0.22/0.52 fof(f3371,plain,(
% 0.22/0.52 ~inverse(identity)=identity|~spl0_1|~spl0_5|~spl0_15|~spl0_10),
% 0.22/0.52 inference(backward_demodulation,[status(thm)],[f2720,f2697])).
% 0.22/0.52 fof(f3372,plain,(
% 0.22/0.52 ~identity=identity|~spl0_1|~spl0_5|~spl0_15|~spl0_10),
% 0.22/0.52 inference(forward_demodulation,[status(thm)],[f135,f3371])).
% 0.22/0.52 fof(f3373,plain,(
% 0.22/0.52 $false|~spl0_1|~spl0_5|~spl0_15|~spl0_10),
% 0.22/0.52 inference(trivial_equality_resolution,[status(esa)],[f3372])).
% 0.22/0.52 fof(f3374,plain,(
% 0.22/0.52 ~spl0_1|~spl0_5|~spl0_15|~spl0_10),
% 0.22/0.52 inference(contradiction_clause,[status(thm)],[f3373])).
% 0.22/0.52 fof(f3375,plain,(
% 0.22/0.52 $false),
% 0.22/0.52 inference(sat_refutation,[status(thm)],[f58,f62,f66,f70,f74,f78,f79,f80,f81,f82,f86,f87,f88,f89,f90,f94,f95,f96,f97,f98,f111,f114,f2022,f2156,f2159,f2163,f2209,f2221,f2329,f2416,f2559,f2661,f2732,f3214,f3230,f3282,f3374])).
% 0.22/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.54 % Elapsed time: 0.163660 seconds
% 0.22/0.54 % CPU time: 1.184483 seconds
% 0.22/0.54 % Total memory used: 76.783 MB
% 0.22/0.54 % Net memory used: 75.873 MB
%------------------------------------------------------------------------------