TSTP Solution File: GRP360-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP360-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 20:20:12 EDT 2024
% Result : Unsatisfiable 0.20s 0.45s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP360-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n013.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 00:26:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.37 % Drodi V3.6.0
% 0.20/0.45 % Refutation found
% 0.20/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.45 fof(f1,axiom,(
% 0.20/0.45 (![X]: (multiply(identity,X) = X ))),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f2,axiom,(
% 0.20/0.45 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f3,axiom,(
% 0.20/0.45 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f4,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f5,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c6,sk_c5) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f6,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f7,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c6,sk_c5) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f8,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c6,sk_c5) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f9,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c7) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f10,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c7) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f11,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c7) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f12,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c7) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f13,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c7) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f14,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f15,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c7,sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f16,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f17,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c7,sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f18,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c7,sk_c2) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f19,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c1,sk_c7) = sk_c2| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f20,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c1,sk_c7) = sk_c2| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f21,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c1,sk_c7) = sk_c2| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f22,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c1,sk_c7) = sk_c2| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f23,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c1,sk_c7) = sk_c2| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f24,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f25,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f26,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f27,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f28,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f29,negated_conjecture,(
% 0.20/0.45 (![X3,X4,X1,X2]: (( multiply(sk_c6,sk_c5) != sk_c7| inverse(sk_c7) != sk_c5| multiply(sk_c7,X3) != sk_c6| multiply(X4,sk_c7) != X3| inverse(X4) != sk_c7| multiply(sk_c6,sk_c7) != sk_c5| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.20/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f30,plain,(
% 0.20/0.45 ![X0]: (multiply(identity,X0)=X0)),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.45 fof(f31,plain,(
% 0.20/0.45 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.45 fof(f32,plain,(
% 0.20/0.45 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.45 fof(f33,plain,(
% 0.20/0.45 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.45 fof(f34,plain,(
% 0.20/0.45 multiply(sk_c6,sk_c5)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.45 fof(f35,plain,(
% 0.20/0.45 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.45 fof(f36,plain,(
% 0.20/0.45 multiply(sk_c6,sk_c5)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.45 fof(f37,plain,(
% 0.20/0.45 multiply(sk_c6,sk_c5)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.45 fof(f38,plain,(
% 0.20/0.45 inverse(sk_c7)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.45 fof(f39,plain,(
% 0.20/0.45 inverse(sk_c7)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.45 fof(f40,plain,(
% 0.20/0.45 inverse(sk_c7)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f11])).
% 0.20/0.45 fof(f41,plain,(
% 0.20/0.45 inverse(sk_c7)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.45 fof(f42,plain,(
% 0.20/0.45 inverse(sk_c7)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f13])).
% 0.20/0.45 fof(f43,plain,(
% 0.20/0.45 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.45 fof(f44,plain,(
% 0.20/0.45 multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f15])).
% 0.20/0.45 fof(f45,plain,(
% 0.20/0.45 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.45 fof(f46,plain,(
% 0.20/0.45 multiply(sk_c7,sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.45 fof(f47,plain,(
% 0.20/0.45 multiply(sk_c7,sk_c2)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f18])).
% 0.20/0.45 fof(f48,plain,(
% 0.20/0.45 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.45 fof(f49,plain,(
% 0.20/0.45 multiply(sk_c1,sk_c7)=sk_c2|inverse(sk_c3)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.45 fof(f50,plain,(
% 0.20/0.45 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f21])).
% 0.20/0.45 fof(f51,plain,(
% 0.20/0.45 multiply(sk_c1,sk_c7)=sk_c2|inverse(sk_c4)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.45 fof(f52,plain,(
% 0.20/0.45 multiply(sk_c1,sk_c7)=sk_c2|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.45 fof(f53,plain,(
% 0.20/0.45 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f24])).
% 0.20/0.45 fof(f54,plain,(
% 0.20/0.45 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f25])).
% 0.20/0.45 fof(f55,plain,(
% 0.20/0.45 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.45 fof(f56,plain,(
% 0.20/0.45 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f27])).
% 0.20/0.45 fof(f57,plain,(
% 0.20/0.45 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f28])).
% 0.20/0.45 fof(f58,plain,(
% 0.20/0.45 ![X2]: (((![X1]: ((((![X4]: ((![X3]: (((~multiply(sk_c6,sk_c5)=sk_c7|~inverse(sk_c7)=sk_c5)|~multiply(sk_c7,X3)=sk_c6)|~multiply(X4,sk_c7)=X3))|~inverse(X4)=sk_c7))|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.20/0.45 inference(miniscoping,[status(esa)],[f29])).
% 0.20/0.45 fof(f59,plain,(
% 0.20/0.45 ![X0,X1,X2,X3]: (~multiply(sk_c6,sk_c5)=sk_c7|~inverse(sk_c7)=sk_c5|~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f58])).
% 0.20/0.45 fof(f60,plain,(
% 0.20/0.45 spl0_0 <=> multiply(sk_c6,sk_c5)=sk_c7),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f61,plain,(
% 0.20/0.45 multiply(sk_c6,sk_c5)=sk_c7|~spl0_0),
% 0.20/0.45 inference(component_clause,[status(thm)],[f60])).
% 0.20/0.45 fof(f62,plain,(
% 0.20/0.45 ~multiply(sk_c6,sk_c5)=sk_c7|spl0_0),
% 0.20/0.45 inference(component_clause,[status(thm)],[f60])).
% 0.20/0.45 fof(f63,plain,(
% 0.20/0.45 spl0_1 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f64,plain,(
% 0.20/0.45 multiply(sk_c6,sk_c7)=sk_c5|~spl0_1),
% 0.20/0.45 inference(component_clause,[status(thm)],[f63])).
% 0.20/0.45 fof(f65,plain,(
% 0.20/0.45 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_1),
% 0.20/0.45 inference(component_clause,[status(thm)],[f63])).
% 0.20/0.45 fof(f66,plain,(
% 0.20/0.45 spl0_0|spl0_1),
% 0.20/0.45 inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.20/0.45 fof(f67,plain,(
% 0.20/0.45 spl0_2 <=> inverse(sk_c3)=sk_c7),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f68,plain,(
% 0.20/0.45 inverse(sk_c3)=sk_c7|~spl0_2),
% 0.20/0.45 inference(component_clause,[status(thm)],[f67])).
% 0.20/0.45 fof(f70,plain,(
% 0.20/0.45 spl0_0|spl0_2),
% 0.20/0.45 inference(split_clause,[status(thm)],[f34,f60,f67])).
% 0.20/0.45 fof(f71,plain,(
% 0.20/0.45 spl0_3 <=> multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f72,plain,(
% 0.20/0.45 multiply(sk_c3,sk_c6)=sk_c7|~spl0_3),
% 0.20/0.45 inference(component_clause,[status(thm)],[f71])).
% 0.20/0.45 fof(f74,plain,(
% 0.20/0.45 spl0_0|spl0_3),
% 0.20/0.45 inference(split_clause,[status(thm)],[f35,f60,f71])).
% 0.20/0.45 fof(f75,plain,(
% 0.20/0.45 spl0_4 <=> inverse(sk_c4)=sk_c6),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f76,plain,(
% 0.20/0.45 inverse(sk_c4)=sk_c6|~spl0_4),
% 0.20/0.45 inference(component_clause,[status(thm)],[f75])).
% 0.20/0.45 fof(f78,plain,(
% 0.20/0.45 spl0_0|spl0_4),
% 0.20/0.45 inference(split_clause,[status(thm)],[f36,f60,f75])).
% 0.20/0.45 fof(f79,plain,(
% 0.20/0.45 spl0_5 <=> multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f80,plain,(
% 0.20/0.45 multiply(sk_c4,sk_c5)=sk_c6|~spl0_5),
% 0.20/0.45 inference(component_clause,[status(thm)],[f79])).
% 0.20/0.45 fof(f82,plain,(
% 0.20/0.45 spl0_0|spl0_5),
% 0.20/0.45 inference(split_clause,[status(thm)],[f37,f60,f79])).
% 0.20/0.45 fof(f83,plain,(
% 0.20/0.45 spl0_6 <=> inverse(sk_c7)=sk_c5),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f84,plain,(
% 0.20/0.45 inverse(sk_c7)=sk_c5|~spl0_6),
% 0.20/0.45 inference(component_clause,[status(thm)],[f83])).
% 0.20/0.45 fof(f85,plain,(
% 0.20/0.45 ~inverse(sk_c7)=sk_c5|spl0_6),
% 0.20/0.45 inference(component_clause,[status(thm)],[f83])).
% 0.20/0.45 fof(f86,plain,(
% 0.20/0.45 spl0_6|spl0_1),
% 0.20/0.45 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.20/0.45 fof(f87,plain,(
% 0.20/0.45 spl0_6|spl0_2),
% 0.20/0.45 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.20/0.45 fof(f88,plain,(
% 0.20/0.45 spl0_6|spl0_3),
% 0.20/0.45 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.20/0.45 fof(f89,plain,(
% 0.20/0.45 spl0_6|spl0_4),
% 0.20/0.45 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.20/0.45 fof(f90,plain,(
% 0.20/0.45 spl0_6|spl0_5),
% 0.20/0.45 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.20/0.45 fof(f91,plain,(
% 0.20/0.45 spl0_7 <=> multiply(sk_c7,sk_c2)=sk_c6),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f92,plain,(
% 0.20/0.45 multiply(sk_c7,sk_c2)=sk_c6|~spl0_7),
% 0.20/0.45 inference(component_clause,[status(thm)],[f91])).
% 0.20/0.45 fof(f94,plain,(
% 0.20/0.45 spl0_7|spl0_1),
% 0.20/0.45 inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.20/0.45 fof(f95,plain,(
% 0.20/0.45 spl0_7|spl0_2),
% 0.20/0.45 inference(split_clause,[status(thm)],[f44,f91,f67])).
% 0.20/0.45 fof(f96,plain,(
% 0.20/0.45 spl0_7|spl0_3),
% 0.20/0.45 inference(split_clause,[status(thm)],[f45,f91,f71])).
% 0.20/0.45 fof(f97,plain,(
% 0.20/0.45 spl0_7|spl0_4),
% 0.20/0.45 inference(split_clause,[status(thm)],[f46,f91,f75])).
% 0.20/0.45 fof(f98,plain,(
% 0.20/0.45 spl0_7|spl0_5),
% 0.20/0.45 inference(split_clause,[status(thm)],[f47,f91,f79])).
% 0.20/0.45 fof(f99,plain,(
% 0.20/0.45 spl0_8 <=> multiply(sk_c1,sk_c7)=sk_c2),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f100,plain,(
% 0.20/0.45 multiply(sk_c1,sk_c7)=sk_c2|~spl0_8),
% 0.20/0.45 inference(component_clause,[status(thm)],[f99])).
% 0.20/0.45 fof(f102,plain,(
% 0.20/0.45 spl0_8|spl0_1),
% 0.20/0.45 inference(split_clause,[status(thm)],[f48,f99,f63])).
% 0.20/0.45 fof(f103,plain,(
% 0.20/0.45 spl0_8|spl0_2),
% 0.20/0.45 inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.20/0.45 fof(f104,plain,(
% 0.20/0.45 spl0_8|spl0_3),
% 0.20/0.45 inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.20/0.45 fof(f105,plain,(
% 0.20/0.45 spl0_8|spl0_4),
% 0.20/0.45 inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.20/0.45 fof(f106,plain,(
% 0.20/0.45 spl0_8|spl0_5),
% 0.20/0.45 inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.20/0.45 fof(f107,plain,(
% 0.20/0.45 spl0_9 <=> inverse(sk_c1)=sk_c7),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f108,plain,(
% 0.20/0.45 inverse(sk_c1)=sk_c7|~spl0_9),
% 0.20/0.45 inference(component_clause,[status(thm)],[f107])).
% 0.20/0.45 fof(f110,plain,(
% 0.20/0.45 spl0_9|spl0_1),
% 0.20/0.45 inference(split_clause,[status(thm)],[f53,f107,f63])).
% 0.20/0.45 fof(f111,plain,(
% 0.20/0.45 spl0_9|spl0_2),
% 0.20/0.45 inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.20/0.45 fof(f112,plain,(
% 0.20/0.46 spl0_9|spl0_3),
% 0.20/0.46 inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.20/0.46 fof(f113,plain,(
% 0.20/0.46 spl0_9|spl0_4),
% 0.20/0.46 inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.20/0.46 fof(f114,plain,(
% 0.20/0.46 spl0_9|spl0_5),
% 0.20/0.46 inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.20/0.46 fof(f115,plain,(
% 0.20/0.46 spl0_10 <=> ~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f116,plain,(
% 0.20/0.46 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~spl0_10)),
% 0.20/0.46 inference(component_clause,[status(thm)],[f115])).
% 0.20/0.46 fof(f118,plain,(
% 0.20/0.46 spl0_11 <=> ~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f119,plain,(
% 0.20/0.46 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_11)),
% 0.20/0.46 inference(component_clause,[status(thm)],[f118])).
% 0.20/0.46 fof(f121,plain,(
% 0.20/0.46 spl0_12 <=> ~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f122,plain,(
% 0.20/0.46 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~spl0_12)),
% 0.20/0.46 inference(component_clause,[status(thm)],[f121])).
% 0.20/0.46 fof(f124,plain,(
% 0.20/0.46 ~spl0_0|~spl0_6|spl0_10|~spl0_1|spl0_11|spl0_12),
% 0.20/0.46 inference(split_clause,[status(thm)],[f59,f60,f83,f115,f63,f118,f121])).
% 0.20/0.46 fof(f129,plain,(
% 0.20/0.46 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.20/0.46 fof(f130,plain,(
% 0.20/0.46 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f30,f129])).
% 0.20/0.46 fof(f131,plain,(
% 0.20/0.46 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f130,f130])).
% 0.20/0.46 fof(f132,plain,(
% 0.20/0.46 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f31,f130])).
% 0.20/0.46 fof(f142,plain,(
% 0.20/0.46 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f31,f131])).
% 0.20/0.46 fof(f151,plain,(
% 0.20/0.46 inverse(identity)=identity),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f30,f142])).
% 0.20/0.46 fof(f170,plain,(
% 0.20/0.46 ![X0]: (X0=multiply(X0,identity))),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f131,f132])).
% 0.20/0.46 fof(f171,plain,(
% 0.20/0.46 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f131,f170])).
% 0.20/0.46 fof(f172,plain,(
% 0.20/0.46 ![X0]: (inverse(inverse(X0))=X0)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f170,f171])).
% 0.20/0.46 fof(f597,plain,(
% 0.20/0.46 inverse(sk_c7)=sk_c1|~spl0_9),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f108,f172])).
% 0.20/0.46 fof(f602,plain,(
% 0.20/0.46 inverse(sk_c6)=sk_c4|~spl0_4),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f76,f172])).
% 0.20/0.46 fof(f607,plain,(
% 0.20/0.46 inverse(sk_c7)=sk_c3|~spl0_2),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f68,f172])).
% 0.20/0.46 fof(f608,plain,(
% 0.20/0.46 multiply(sk_c3,sk_c7)=identity|~spl0_2),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f68,f142])).
% 0.20/0.46 fof(f612,plain,(
% 0.20/0.46 inverse(sk_c5)=sk_c7|~spl0_6),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f84,f172])).
% 0.20/0.46 fof(f613,plain,(
% 0.20/0.46 multiply(sk_c7,sk_c5)=identity|~spl0_6),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f84,f142])).
% 0.20/0.46 fof(f616,plain,(
% 0.20/0.46 sk_c5=sk_c1|~spl0_6|~spl0_9),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f84,f597])).
% 0.20/0.46 fof(f618,plain,(
% 0.20/0.46 multiply(sk_c5,sk_c7)=sk_c2|~spl0_6|~spl0_9|~spl0_8),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f616,f100])).
% 0.20/0.46 fof(f633,plain,(
% 0.20/0.46 sk_c5=sk_c3|~spl0_6|~spl0_2),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f84,f607])).
% 0.20/0.46 fof(f637,plain,(
% 0.20/0.46 multiply(sk_c5,sk_c7)=identity|~spl0_6),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f612,f142])).
% 0.20/0.46 fof(f638,plain,(
% 0.20/0.46 sk_c2=identity|~spl0_9|~spl0_8|~spl0_6),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f618,f637])).
% 0.20/0.46 fof(f642,plain,(
% 0.20/0.46 multiply(sk_c7,identity)=sk_c6|~spl0_9|~spl0_8|~spl0_6|~spl0_7),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f638,f92])).
% 0.20/0.46 fof(f643,plain,(
% 0.20/0.46 sk_c7=sk_c6|~spl0_9|~spl0_8|~spl0_6|~spl0_7),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f170,f642])).
% 0.20/0.46 fof(f645,plain,(
% 0.20/0.46 inverse(sk_c6)=sk_c5|~spl0_9|~spl0_8|~spl0_7|~spl0_6),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f643,f84])).
% 0.20/0.46 fof(f646,plain,(
% 0.20/0.46 sk_c4=sk_c5|~spl0_4|~spl0_9|~spl0_8|~spl0_7|~spl0_6),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f602,f645])).
% 0.20/0.46 fof(f1517,plain,(
% 0.20/0.46 multiply(sk_c4,sk_c6)=identity|~spl0_4),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f602,f31])).
% 0.20/0.46 fof(f1533,plain,(
% 0.20/0.46 multiply(sk_c3,sk_c7)=identity|~spl0_2),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f68,f142])).
% 0.20/0.46 fof(f1550,plain,(
% 0.20/0.46 inverse(sk_c7)=sk_c1|~spl0_9),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f108,f172])).
% 0.20/0.46 fof(f1551,plain,(
% 0.20/0.46 sk_c3=sk_c1|~spl0_2|~spl0_9),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f607,f1550])).
% 0.20/0.46 fof(f1567,plain,(
% 0.20/0.46 sk_c6=multiply(inverse(sk_c3),sk_c7)|~spl0_3),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f72,f130])).
% 0.20/0.46 fof(f1568,plain,(
% 0.20/0.46 sk_c6=multiply(sk_c7,sk_c7)|~spl0_2|~spl0_3),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f68,f1567])).
% 0.20/0.46 fof(f1655,plain,(
% 0.20/0.46 sk_c5=multiply(inverse(sk_c4),sk_c6)|~spl0_5),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f80,f130])).
% 0.20/0.46 fof(f1656,plain,(
% 0.20/0.46 sk_c5=multiply(sk_c6,sk_c6)|~spl0_4|~spl0_5),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f76,f1655])).
% 0.20/0.46 fof(f1668,plain,(
% 0.20/0.46 sk_c2=multiply(inverse(sk_c7),sk_c6)|~spl0_7),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f92,f130])).
% 0.20/0.46 fof(f1669,plain,(
% 0.20/0.46 sk_c2=multiply(sk_c3,sk_c6)|~spl0_2|~spl0_7),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f607,f1668])).
% 0.20/0.46 fof(f1670,plain,(
% 0.20/0.46 sk_c2=sk_c7|~spl0_3|~spl0_2|~spl0_7),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f72,f1669])).
% 0.20/0.46 fof(f1675,plain,(
% 0.20/0.46 multiply(sk_c3,sk_c7)=sk_c2|~spl0_2|~spl0_9|~spl0_8),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f1551,f100])).
% 0.20/0.46 fof(f1676,plain,(
% 0.20/0.46 identity=sk_c2|~spl0_2|~spl0_9|~spl0_8),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f608,f1675])).
% 0.20/0.46 fof(f1677,plain,(
% 0.20/0.46 identity=sk_c7|~spl0_3|~spl0_7|~spl0_2|~spl0_9|~spl0_8),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f1670,f1676])).
% 0.20/0.46 fof(f1688,plain,(
% 0.20/0.46 multiply(sk_c6,identity)=sk_c5|~spl0_3|~spl0_7|~spl0_2|~spl0_9|~spl0_8|~spl0_1),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f1677,f64])).
% 0.20/0.46 fof(f1689,plain,(
% 0.20/0.46 sk_c6=sk_c5|~spl0_3|~spl0_7|~spl0_2|~spl0_9|~spl0_8|~spl0_1),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f170,f1688])).
% 0.20/0.46 fof(f1699,plain,(
% 0.20/0.46 ![X0,X1]: (~multiply(identity,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~spl0_3|~spl0_7|~spl0_2|~spl0_9|~spl0_8|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f1677,f116])).
% 0.20/0.46 fof(f1700,plain,(
% 0.20/0.46 ![X0,X1]: (~X0=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~spl0_3|~spl0_7|~spl0_2|~spl0_9|~spl0_8|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f30,f1699])).
% 0.20/0.46 fof(f1701,plain,(
% 0.20/0.46 ![X0,X1]: (~X0=sk_c6|~multiply(X1,identity)=X0|~inverse(X1)=sk_c7|~spl0_3|~spl0_7|~spl0_2|~spl0_9|~spl0_8|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f1677,f1700])).
% 0.20/0.46 fof(f1702,plain,(
% 0.20/0.46 ![X0,X1]: (~X0=sk_c6|~X1=X0|~inverse(X1)=sk_c7|~spl0_3|~spl0_7|~spl0_2|~spl0_9|~spl0_8|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f170,f1701])).
% 0.20/0.46 fof(f1703,plain,(
% 0.20/0.46 ![X0,X1]: (~X0=sk_c6|~X1=X0|~inverse(X1)=identity|~spl0_3|~spl0_7|~spl0_2|~spl0_9|~spl0_8|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f1677,f1702])).
% 0.20/0.46 fof(f1704,plain,(
% 0.20/0.46 ~inverse(sk_c6)=identity|~spl0_3|~spl0_7|~spl0_2|~spl0_9|~spl0_8|~spl0_10),
% 0.20/0.46 inference(destructive_equality_resolution,[status(esa)],[f1703])).
% 0.20/0.46 fof(f1708,plain,(
% 0.20/0.46 multiply(identity,sk_c5)=identity|~spl0_3|~spl0_7|~spl0_2|~spl0_9|~spl0_8|~spl0_6),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f1677,f613])).
% 0.20/0.46 fof(f1709,plain,(
% 0.20/0.46 sk_c5=identity|~spl0_3|~spl0_7|~spl0_2|~spl0_9|~spl0_8|~spl0_6),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f30,f1708])).
% 0.20/0.46 fof(f1710,plain,(
% 0.20/0.46 sk_c6=identity|~spl0_1|~spl0_3|~spl0_7|~spl0_2|~spl0_9|~spl0_8|~spl0_6),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f1689,f1709])).
% 0.20/0.46 fof(f2460,plain,(
% 0.20/0.46 ~inverse(identity)=identity|~spl0_1|~spl0_6|~spl0_3|~spl0_7|~spl0_2|~spl0_9|~spl0_8|~spl0_10),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f1710,f1704])).
% 0.20/0.46 fof(f2461,plain,(
% 0.20/0.46 ~identity=identity|~spl0_1|~spl0_6|~spl0_3|~spl0_7|~spl0_2|~spl0_9|~spl0_8|~spl0_10),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f151,f2460])).
% 0.20/0.46 fof(f2462,plain,(
% 0.20/0.46 $false|~spl0_1|~spl0_6|~spl0_3|~spl0_7|~spl0_2|~spl0_9|~spl0_8|~spl0_10),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f2461])).
% 0.20/0.46 fof(f2463,plain,(
% 0.20/0.46 ~spl0_1|~spl0_6|~spl0_3|~spl0_7|~spl0_2|~spl0_9|~spl0_8|~spl0_10),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f2462])).
% 0.20/0.46 fof(f2476,plain,(
% 0.20/0.46 inverse(sk_c6)=sk_c4|~spl0_4),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f76,f172])).
% 0.20/0.46 fof(f2485,plain,(
% 0.20/0.46 inverse(sk_c5)=sk_c6|~spl0_9|~spl0_8|~spl0_7|~spl0_6),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f645,f172])).
% 0.20/0.46 fof(f2490,plain,(
% 0.20/0.46 inverse(sk_c5)=sk_c6|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_4),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f646,f76])).
% 0.20/0.46 fof(f2494,plain,(
% 0.20/0.46 inverse(sk_c5)=sk_c7|~spl0_6|~spl0_2),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f633,f68])).
% 0.20/0.46 fof(f2495,plain,(
% 0.20/0.46 inverse(sk_c5)=sk_c6|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_2),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f643,f2494])).
% 0.20/0.46 fof(f2506,plain,(
% 0.20/0.46 multiply(sk_c5,sk_c7)=identity|~spl0_6|~spl0_2),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f633,f1533])).
% 0.20/0.46 fof(f2507,plain,(
% 0.20/0.46 multiply(sk_c5,sk_c6)=identity|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_2),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f643,f2506])).
% 0.20/0.46 fof(f2529,plain,(
% 0.20/0.46 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c6)=sk_c7|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_11)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f643,f119])).
% 0.20/0.46 fof(f2530,plain,(
% 0.20/0.46 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c6)=sk_c6|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_11)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f643,f2529])).
% 0.20/0.46 fof(f2533,plain,(
% 0.20/0.46 spl0_13 <=> inverse(sk_c5)=sk_c6),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f2535,plain,(
% 0.20/0.46 ~inverse(sk_c5)=sk_c6|spl0_13),
% 0.20/0.46 inference(component_clause,[status(thm)],[f2533])).
% 0.20/0.46 fof(f2536,plain,(
% 0.20/0.46 spl0_14 <=> identity=sk_c6),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f2538,plain,(
% 0.20/0.46 ~identity=sk_c6|spl0_14),
% 0.20/0.46 inference(component_clause,[status(thm)],[f2536])).
% 0.20/0.46 fof(f2539,plain,(
% 0.20/0.46 ~inverse(sk_c5)=sk_c6|~identity=sk_c6|~spl0_11|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_2),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f2507,f2530])).
% 0.20/0.46 fof(f2540,plain,(
% 0.20/0.46 ~spl0_13|~spl0_14|~spl0_11|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_2),
% 0.20/0.46 inference(split_clause,[status(thm)],[f2539,f2533,f2536,f118,f107,f99,f91,f83,f67])).
% 0.20/0.46 fof(f2543,plain,(
% 0.20/0.46 spl0_15 <=> inverse(inverse(sk_c6))=sk_c6),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f2545,plain,(
% 0.20/0.46 ~inverse(inverse(sk_c6))=sk_c6|spl0_15),
% 0.20/0.46 inference(component_clause,[status(thm)],[f2543])).
% 0.20/0.46 fof(f2546,plain,(
% 0.20/0.46 ~inverse(inverse(sk_c6))=sk_c6|~identity=sk_c6|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_11),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f31,f2530])).
% 0.20/0.46 fof(f2547,plain,(
% 0.20/0.46 ~spl0_15|~spl0_14|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_11),
% 0.20/0.46 inference(split_clause,[status(thm)],[f2546,f2543,f2536,f107,f99,f83,f91,f118])).
% 0.20/0.46 fof(f2548,plain,(
% 0.20/0.46 spl0_16 <=> inverse(identity)=sk_c6),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f2550,plain,(
% 0.20/0.46 ~inverse(identity)=sk_c6|spl0_16),
% 0.20/0.46 inference(component_clause,[status(thm)],[f2548])).
% 0.20/0.46 fof(f2551,plain,(
% 0.20/0.46 spl0_17 <=> sk_c6=sk_c6),
% 0.20/0.46 introduced(split_symbol_definition)).
% 0.20/0.46 fof(f2553,plain,(
% 0.20/0.46 ~sk_c6=sk_c6|spl0_17),
% 0.20/0.46 inference(component_clause,[status(thm)],[f2551])).
% 0.20/0.46 fof(f2554,plain,(
% 0.20/0.46 ~inverse(identity)=sk_c6|~sk_c6=sk_c6|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_11),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f30,f2530])).
% 0.20/0.46 fof(f2555,plain,(
% 0.20/0.46 ~spl0_16|~spl0_17|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_11),
% 0.20/0.46 inference(split_clause,[status(thm)],[f2554,f2548,f2551,f107,f99,f83,f91,f118])).
% 0.20/0.46 fof(f2557,plain,(
% 0.20/0.46 ~sk_c6=sk_c6|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_2|spl0_13),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f2495,f2535])).
% 0.20/0.46 fof(f2558,plain,(
% 0.20/0.46 $false|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_2|spl0_13),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f2557])).
% 0.20/0.46 fof(f2559,plain,(
% 0.20/0.46 ~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_2|spl0_13),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f2558])).
% 0.20/0.46 fof(f2560,plain,(
% 0.20/0.46 ~sk_c6=sk_c6|spl0_15),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f172,f2545])).
% 0.20/0.46 fof(f2561,plain,(
% 0.20/0.46 $false|spl0_15),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f2560])).
% 0.20/0.46 fof(f2562,plain,(
% 0.20/0.46 spl0_15),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f2561])).
% 0.20/0.46 fof(f2563,plain,(
% 0.20/0.46 ~identity=sk_c6|spl0_16),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f151,f2550])).
% 0.20/0.46 fof(f2564,plain,(
% 0.20/0.46 $false|spl0_17),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f2553])).
% 0.20/0.46 fof(f2565,plain,(
% 0.20/0.46 spl0_17),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f2564])).
% 0.20/0.46 fof(f2640,plain,(
% 0.20/0.46 ![X0,X1]: (~multiply(sk_c6,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f643,f116])).
% 0.20/0.46 fof(f2641,plain,(
% 0.20/0.46 ![X0,X1]: (~multiply(sk_c6,X0)=sk_c6|~multiply(X1,sk_c6)=X0|~inverse(X1)=sk_c7|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f643,f2640])).
% 0.20/0.46 fof(f2642,plain,(
% 0.20/0.46 ![X0,X1]: (~multiply(sk_c6,X0)=sk_c6|~multiply(X1,sk_c6)=X0|~inverse(X1)=sk_c6|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f643,f2641])).
% 0.20/0.46 fof(f2643,plain,(
% 0.20/0.46 ![X0]: (~multiply(sk_c6,multiply(X0,sk_c6))=sk_c6|~inverse(X0)=sk_c6|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_10)),
% 0.20/0.46 inference(destructive_equality_resolution,[status(esa)],[f2642])).
% 0.20/0.46 fof(f2644,plain,(
% 0.20/0.46 multiply(sk_c6,sk_c5)=sk_c6|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_0),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f643,f61])).
% 0.20/0.46 fof(f2658,plain,(
% 0.20/0.46 sk_c5=multiply(inverse(sk_c6),sk_c6)|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_0),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f2644,f130])).
% 0.20/0.46 fof(f2659,plain,(
% 0.20/0.46 sk_c5=identity|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_0),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f31,f2658])).
% 0.20/0.46 fof(f2992,plain,(
% 0.20/0.46 inverse(identity)=sk_c6|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_4),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f2659,f2490])).
% 0.20/0.46 fof(f2993,plain,(
% 0.20/0.46 identity=sk_c6|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_4),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f151,f2992])).
% 0.20/0.46 fof(f2994,plain,(
% 0.20/0.46 $false|spl0_16|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_4),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f2993,f2563])).
% 0.20/0.46 fof(f2995,plain,(
% 0.20/0.46 spl0_16|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_4),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f2994])).
% 0.20/0.46 fof(f3024,plain,(
% 0.20/0.46 inverse(identity)=sk_c6|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f2659,f2485])).
% 0.20/0.46 fof(f3025,plain,(
% 0.20/0.46 identity=sk_c6|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f151,f3024])).
% 0.20/0.46 fof(f3026,plain,(
% 0.20/0.46 $false|spl0_14|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f3025,f2538])).
% 0.20/0.46 fof(f3027,plain,(
% 0.20/0.46 spl0_14|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f3026])).
% 0.20/0.46 fof(f3029,plain,(
% 0.20/0.46 sk_c7=identity|~spl0_0|~spl0_9|~spl0_8|~spl0_6|~spl0_7),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f3025,f643])).
% 0.20/0.46 fof(f3061,plain,(
% 0.20/0.46 ![X0]: (~multiply(identity,multiply(X0,sk_c6))=sk_c6|~inverse(X0)=sk_c6|~spl0_0|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f3025,f2643])).
% 0.20/0.46 fof(f3062,plain,(
% 0.20/0.46 ![X0]: (~multiply(X0,sk_c6)=sk_c6|~inverse(X0)=sk_c6|~spl0_0|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f30,f3061])).
% 0.20/0.46 fof(f3063,plain,(
% 0.20/0.46 ![X0]: (~multiply(X0,identity)=sk_c6|~inverse(X0)=sk_c6|~spl0_0|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f3025,f3062])).
% 0.20/0.46 fof(f3064,plain,(
% 0.20/0.46 ![X0]: (~X0=sk_c6|~inverse(X0)=sk_c6|~spl0_0|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f170,f3063])).
% 0.20/0.46 fof(f3065,plain,(
% 0.20/0.46 ![X0]: (~X0=identity|~inverse(X0)=sk_c6|~spl0_0|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f3025,f3064])).
% 0.20/0.46 fof(f3066,plain,(
% 0.20/0.46 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_0|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f3025,f3065])).
% 0.20/0.46 fof(f3067,plain,(
% 0.20/0.46 ~inverse(identity)=identity|~spl0_0|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_10),
% 0.20/0.46 inference(destructive_equality_resolution,[status(esa)],[f3066])).
% 0.20/0.46 fof(f3068,plain,(
% 0.20/0.46 $false|~spl0_0|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_10),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f3067,f151])).
% 0.20/0.46 fof(f3069,plain,(
% 0.20/0.46 ~spl0_0|~spl0_9|~spl0_8|~spl0_6|~spl0_7|~spl0_10),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f3068])).
% 0.20/0.46 fof(f3070,plain,(
% 0.20/0.46 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c5)=sk_c6|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_12)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f3025,f122])).
% 0.20/0.46 fof(f3071,plain,(
% 0.20/0.46 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c6|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_12)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f2659,f3070])).
% 0.20/0.46 fof(f3072,plain,(
% 0.20/0.46 ![X0]: (~inverse(X0)=identity|~X0=sk_c6|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_12)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f170,f3071])).
% 0.20/0.46 fof(f3073,plain,(
% 0.20/0.46 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_12)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f3025,f3072])).
% 0.20/0.46 fof(f3074,plain,(
% 0.20/0.46 ~inverse(identity)=identity|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_12),
% 0.20/0.46 inference(destructive_equality_resolution,[status(esa)],[f3073])).
% 0.20/0.46 fof(f3075,plain,(
% 0.20/0.46 $false|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_12),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f3074,f151])).
% 0.20/0.46 fof(f3076,plain,(
% 0.20/0.46 ~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6|~spl0_12),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f3075])).
% 0.20/0.46 fof(f3077,plain,(
% 0.20/0.46 ~multiply(identity,sk_c7)=sk_c5|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6|spl0_1),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f3025,f65])).
% 0.20/0.46 fof(f3078,plain,(
% 0.20/0.46 ~sk_c7=sk_c5|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6|spl0_1),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f30,f3077])).
% 0.20/0.46 fof(f3079,plain,(
% 0.20/0.46 ~identity=sk_c5|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6|spl0_1),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f3029,f3078])).
% 0.20/0.46 fof(f3080,plain,(
% 0.20/0.46 ~identity=identity|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6|spl0_1),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f2659,f3079])).
% 0.20/0.46 fof(f3081,plain,(
% 0.20/0.46 $false|~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6|spl0_1),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f3080])).
% 0.20/0.46 fof(f3082,plain,(
% 0.20/0.46 ~spl0_0|~spl0_9|~spl0_8|~spl0_7|~spl0_6|spl0_1),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f3081])).
% 0.20/0.46 fof(f5939,plain,(
% 0.20/0.46 sk_c7=multiply(inverse(sk_c6),sk_c5)|~spl0_1),
% 0.20/0.46 inference(paramodulation,[status(thm)],[f64,f130])).
% 0.20/0.46 fof(f5940,plain,(
% 0.20/0.46 sk_c7=multiply(sk_c4,sk_c5)|~spl0_4|~spl0_1),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f2476,f5939])).
% 0.20/0.46 fof(f5941,plain,(
% 0.20/0.46 sk_c7=sk_c6|~spl0_5|~spl0_4|~spl0_1),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f80,f5940])).
% 0.20/0.46 fof(f6936,plain,(
% 0.20/0.46 sk_c6=multiply(sk_c7,sk_c6)|~spl0_5|~spl0_4|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f5941,f1568])).
% 0.20/0.46 fof(f6937,plain,(
% 0.20/0.46 sk_c6=multiply(sk_c6,sk_c6)|~spl0_5|~spl0_4|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f5941,f6936])).
% 0.20/0.46 fof(f6938,plain,(
% 0.20/0.46 sk_c6=sk_c5|~spl0_5|~spl0_4|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f1656,f6937])).
% 0.20/0.46 fof(f6939,plain,(
% 0.20/0.46 ~multiply(sk_c6,sk_c5)=sk_c6|~spl0_5|~spl0_4|~spl0_1|spl0_0),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f5941,f62])).
% 0.20/0.46 fof(f6948,plain,(
% 0.20/0.46 multiply(sk_c4,sk_c6)=sk_c6|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f6938,f80])).
% 0.20/0.46 fof(f6949,plain,(
% 0.20/0.46 identity=sk_c6|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f1517,f6948])).
% 0.20/0.46 fof(f6955,plain,(
% 0.20/0.46 ~multiply(sk_c6,sk_c6)=sk_c6|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|spl0_0),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f6938,f6939])).
% 0.20/0.46 fof(f6956,plain,(
% 0.20/0.46 ~multiply(sk_c6,sk_c6)=identity|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|spl0_0),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f6949,f6955])).
% 0.20/0.46 fof(f6957,plain,(
% 0.20/0.46 ~multiply(identity,sk_c6)=identity|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|spl0_0),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f6949,f6956])).
% 0.20/0.46 fof(f6958,plain,(
% 0.20/0.46 ~sk_c6=identity|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|spl0_0),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f30,f6957])).
% 0.20/0.46 fof(f6959,plain,(
% 0.20/0.46 ~identity=identity|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|spl0_0),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f6949,f6958])).
% 0.20/0.46 fof(f6960,plain,(
% 0.20/0.46 $false|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|spl0_0),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f6959])).
% 0.20/0.46 fof(f6961,plain,(
% 0.20/0.46 ~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|spl0_0),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f6960])).
% 0.20/0.46 fof(f6962,plain,(
% 0.20/0.46 identity=sk_c5|~spl0_5|~spl0_4|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f6949,f6938])).
% 0.20/0.46 fof(f6963,plain,(
% 0.20/0.46 sk_c7=identity|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1),
% 0.20/0.46 inference(backward_demodulation,[status(thm)],[f6949,f5941])).
% 0.20/0.46 fof(f6964,plain,(
% 0.20/0.46 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,identity)=sk_c7|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_11)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f6949,f119])).
% 0.20/0.46 fof(f6965,plain,(
% 0.20/0.46 ![X0]: (~inverse(X0)=sk_c7|~X0=sk_c7|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_11)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f170,f6964])).
% 0.20/0.46 fof(f6966,plain,(
% 0.20/0.46 ~inverse(sk_c7)=sk_c7|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_11),
% 0.20/0.46 inference(destructive_equality_resolution,[status(esa)],[f6965])).
% 0.20/0.46 fof(f7056,plain,(
% 0.20/0.46 ~inverse(identity)=sk_c7|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_11),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f6963,f6966])).
% 0.20/0.46 fof(f7057,plain,(
% 0.20/0.46 ~identity=sk_c7|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_11),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f151,f7056])).
% 0.20/0.46 fof(f7058,plain,(
% 0.20/0.46 ~identity=identity|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_11),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f6963,f7057])).
% 0.20/0.46 fof(f7059,plain,(
% 0.20/0.46 $false|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_11),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f7058])).
% 0.20/0.46 fof(f7060,plain,(
% 0.20/0.46 ~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_11),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f7059])).
% 0.20/0.46 fof(f7061,plain,(
% 0.20/0.46 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c5)=sk_c6|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_12)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f6949,f122])).
% 0.20/0.46 fof(f7062,plain,(
% 0.20/0.46 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c6|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_12)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f6962,f7061])).
% 0.20/0.46 fof(f7063,plain,(
% 0.20/0.46 ![X0]: (~inverse(X0)=identity|~X0=sk_c6|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_12)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f170,f7062])).
% 0.20/0.46 fof(f7064,plain,(
% 0.20/0.46 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_12)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f6949,f7063])).
% 0.20/0.46 fof(f7065,plain,(
% 0.20/0.46 ~inverse(identity)=identity|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_12),
% 0.20/0.46 inference(destructive_equality_resolution,[status(esa)],[f7064])).
% 0.20/0.46 fof(f7066,plain,(
% 0.20/0.46 $false|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_12),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f7065,f151])).
% 0.20/0.46 fof(f7067,plain,(
% 0.20/0.46 ~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_12),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f7066])).
% 0.20/0.46 fof(f7069,plain,(
% 0.20/0.46 ~inverse(identity)=sk_c5|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|spl0_6),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f6963,f85])).
% 0.20/0.46 fof(f7070,plain,(
% 0.20/0.46 ~identity=sk_c5|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|spl0_6),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f151,f7069])).
% 0.20/0.46 fof(f7071,plain,(
% 0.20/0.46 ~identity=identity|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|spl0_6),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f6962,f7070])).
% 0.20/0.46 fof(f7072,plain,(
% 0.20/0.46 $false|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|spl0_6),
% 0.20/0.46 inference(trivial_equality_resolution,[status(esa)],[f7071])).
% 0.20/0.46 fof(f7073,plain,(
% 0.20/0.46 ~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|spl0_6),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f7072])).
% 0.20/0.46 fof(f7177,plain,(
% 0.20/0.46 ![X0,X1]: (~multiply(identity,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f6963,f116])).
% 0.20/0.46 fof(f7178,plain,(
% 0.20/0.46 ![X0,X1]: (~X0=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f30,f7177])).
% 0.20/0.46 fof(f7179,plain,(
% 0.20/0.46 ![X0,X1]: (~X0=identity|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f6949,f7178])).
% 0.20/0.46 fof(f7180,plain,(
% 0.20/0.46 ![X0,X1]: (~X0=identity|~multiply(X1,identity)=X0|~inverse(X1)=sk_c7|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f6963,f7179])).
% 0.20/0.46 fof(f7181,plain,(
% 0.20/0.46 ![X0,X1]: (~X0=identity|~X1=X0|~inverse(X1)=sk_c7|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f170,f7180])).
% 0.20/0.46 fof(f7182,plain,(
% 0.20/0.46 ![X0,X1]: (~X0=identity|~X1=X0|~inverse(X1)=identity|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_10)),
% 0.20/0.46 inference(forward_demodulation,[status(thm)],[f6963,f7181])).
% 0.20/0.46 fof(f7183,plain,(
% 0.20/0.46 ~inverse(identity)=identity|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_10),
% 0.20/0.46 inference(destructive_equality_resolution,[status(esa)],[f7182])).
% 0.20/0.46 fof(f7184,plain,(
% 0.20/0.46 $false|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_10),
% 0.20/0.46 inference(forward_subsumption_resolution,[status(thm)],[f7183,f151])).
% 0.20/0.46 fof(f7185,plain,(
% 0.20/0.46 ~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_10),
% 0.20/0.46 inference(contradiction_clause,[status(thm)],[f7184])).
% 0.20/0.46 fof(f7186,plain,(
% 0.20/0.46 $false),
% 0.20/0.46 inference(sat_refutation,[status(thm)],[f66,f70,f74,f78,f82,f86,f87,f88,f89,f90,f94,f95,f96,f97,f98,f102,f103,f104,f105,f106,f110,f111,f112,f113,f114,f124,f2463,f2540,f2547,f2555,f2559,f2562,f2565,f2995,f3027,f3069,f3076,f3082,f6961,f7060,f7067,f7073,f7185])).
% 0.20/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.47 % Elapsed time: 0.113746 seconds
% 0.20/0.47 % CPU time: 0.717411 seconds
% 0.20/0.47 % Total memory used: 75.924 MB
% 0.20/0.47 % Net memory used: 75.072 MB
%------------------------------------------------------------------------------