TSTP Solution File: GRP245-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP245-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:11:05 EDT 2023
% Result : Unsatisfiable 0.11s 0.51s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GRP245-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n019.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 11:32:10 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 0.11/0.51 % Refutation found
% 0.11/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.51 fof(f1,axiom,(
% 0.11/0.51 (![X]: (multiply(identity,X) = X ))),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f2,axiom,(
% 0.11/0.51 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f3,axiom,(
% 0.11/0.51 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f4,negated_conjecture,(
% 0.11/0.51 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f5,negated_conjecture,(
% 0.11/0.51 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f6,negated_conjecture,(
% 0.11/0.51 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c5) = sk_c9 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f7,negated_conjecture,(
% 0.11/0.51 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f8,negated_conjecture,(
% 0.11/0.51 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f9,negated_conjecture,(
% 0.11/0.51 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f10,negated_conjecture,(
% 0.11/0.51 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f15,negated_conjecture,(
% 0.11/0.51 ( inverse(sk_c1) = sk_c10| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f16,negated_conjecture,(
% 0.11/0.51 ( inverse(sk_c1) = sk_c10| inverse(sk_c6) = sk_c7 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f18,negated_conjecture,(
% 0.11/0.51 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c4) = sk_c10 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f19,negated_conjecture,(
% 0.11/0.51 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f20,negated_conjecture,(
% 0.11/0.51 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c5) = sk_c9 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f21,negated_conjecture,(
% 0.11/0.51 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f22,negated_conjecture,(
% 0.11/0.51 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f23,negated_conjecture,(
% 0.11/0.51 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f24,negated_conjecture,(
% 0.11/0.51 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f25,negated_conjecture,(
% 0.11/0.51 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f26,negated_conjecture,(
% 0.11/0.51 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f27,negated_conjecture,(
% 0.11/0.51 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c9 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f28,negated_conjecture,(
% 0.11/0.51 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f29,negated_conjecture,(
% 0.11/0.51 ( inverse(sk_c2) = sk_c9| multiply(sk_c6,sk_c7) = sk_c9 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f30,negated_conjecture,(
% 0.11/0.51 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f31,negated_conjecture,(
% 0.11/0.51 ( inverse(sk_c2) = sk_c9| multiply(sk_c7,sk_c8) = sk_c9 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f32,negated_conjecture,(
% 0.11/0.51 ( inverse(sk_c3) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f33,negated_conjecture,(
% 0.11/0.51 ( inverse(sk_c3) = sk_c10| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f39,negated_conjecture,(
% 0.11/0.51 ( multiply(sk_c3,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f40,negated_conjecture,(
% 0.11/0.51 ( multiply(sk_c3,sk_c9) = sk_c10| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f46,negated_conjecture,(
% 0.11/0.51 (![X4,X5,X6,X1,X2,X7,X3]: (( multiply(X4,sk_c10) != sk_c9| inverse(X4) != sk_c10| multiply(X5,sk_c9) != sk_c8| inverse(X5) != sk_c9| inverse(X6) != sk_c10| multiply(X6,sk_c9) != sk_c10| inverse(X1) != sk_c10| multiply(X1,sk_c9) != sk_c10| inverse(X2) != sk_c9| multiply(X2,sk_c8) != sk_c9| multiply(X7,X3) != sk_c9| inverse(X7) != X3| multiply(X3,sk_c8) != sk_c9 ) ))),
% 0.11/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.51 fof(f47,plain,(
% 0.11/0.51 ![X0]: (multiply(identity,X0)=X0)),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f1])).
% 0.11/0.51 fof(f48,plain,(
% 0.11/0.51 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f2])).
% 0.11/0.51 fof(f49,plain,(
% 0.11/0.51 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f3])).
% 0.11/0.51 fof(f50,plain,(
% 0.11/0.51 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f4])).
% 0.11/0.51 fof(f51,plain,(
% 0.11/0.51 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c4,sk_c9)=sk_c10),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f5])).
% 0.11/0.51 fof(f52,plain,(
% 0.11/0.51 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c5)=sk_c9),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f6])).
% 0.11/0.51 fof(f53,plain,(
% 0.11/0.51 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f7])).
% 0.11/0.51 fof(f54,plain,(
% 0.11/0.51 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c6,sk_c7)=sk_c9),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f8])).
% 0.11/0.51 fof(f55,plain,(
% 0.11/0.51 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f9])).
% 0.11/0.51 fof(f56,plain,(
% 0.11/0.51 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c7,sk_c8)=sk_c9),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f10])).
% 0.11/0.51 fof(f61,plain,(
% 0.11/0.51 inverse(sk_c1)=sk_c10|multiply(sk_c6,sk_c7)=sk_c9),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f15])).
% 0.11/0.51 fof(f62,plain,(
% 0.11/0.51 inverse(sk_c1)=sk_c10|inverse(sk_c6)=sk_c7),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f16])).
% 0.11/0.51 fof(f64,plain,(
% 0.11/0.51 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c4)=sk_c10),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f18])).
% 0.11/0.51 fof(f65,plain,(
% 0.11/0.51 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c4,sk_c9)=sk_c10),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f19])).
% 0.11/0.51 fof(f66,plain,(
% 0.11/0.51 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c5)=sk_c9),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f20])).
% 0.11/0.51 fof(f67,plain,(
% 0.11/0.51 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f21])).
% 0.11/0.51 fof(f68,plain,(
% 0.11/0.51 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c6,sk_c7)=sk_c9),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f22])).
% 0.11/0.51 fof(f69,plain,(
% 0.11/0.51 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f23])).
% 0.11/0.51 fof(f70,plain,(
% 0.11/0.51 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c7,sk_c8)=sk_c9),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f24])).
% 0.11/0.51 fof(f71,plain,(
% 0.11/0.51 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f25])).
% 0.11/0.51 fof(f72,plain,(
% 0.11/0.51 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c9)=sk_c10),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f26])).
% 0.11/0.51 fof(f73,plain,(
% 0.11/0.51 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c9),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f27])).
% 0.11/0.51 fof(f74,plain,(
% 0.11/0.51 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f28])).
% 0.11/0.51 fof(f75,plain,(
% 0.11/0.51 inverse(sk_c2)=sk_c9|multiply(sk_c6,sk_c7)=sk_c9),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f29])).
% 0.11/0.51 fof(f76,plain,(
% 0.11/0.51 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f30])).
% 0.11/0.51 fof(f77,plain,(
% 0.11/0.51 inverse(sk_c2)=sk_c9|multiply(sk_c7,sk_c8)=sk_c9),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f31])).
% 0.11/0.51 fof(f78,plain,(
% 0.11/0.51 inverse(sk_c3)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f32])).
% 0.11/0.51 fof(f79,plain,(
% 0.11/0.51 inverse(sk_c3)=sk_c10|multiply(sk_c4,sk_c9)=sk_c10),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f33])).
% 0.11/0.51 fof(f85,plain,(
% 0.11/0.51 multiply(sk_c3,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f39])).
% 0.11/0.51 fof(f86,plain,(
% 0.11/0.51 multiply(sk_c3,sk_c9)=sk_c10|multiply(sk_c4,sk_c9)=sk_c10),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f40])).
% 0.11/0.51 fof(f92,plain,(
% 0.11/0.51 ![X3]: ((![X7]: (((![X2]: (((![X1]: (((![X6]: (((![X5]: (((![X4]: (~multiply(X4,sk_c10)=sk_c9|~inverse(X4)=sk_c10))|~multiply(X5,sk_c9)=sk_c8)|~inverse(X5)=sk_c9))|~inverse(X6)=sk_c10)|~multiply(X6,sk_c9)=sk_c10))|~inverse(X1)=sk_c10)|~multiply(X1,sk_c9)=sk_c10))|~inverse(X2)=sk_c9)|~multiply(X2,sk_c8)=sk_c9))|~multiply(X7,X3)=sk_c9)|~inverse(X7)=X3))|~multiply(X3,sk_c8)=sk_c9)),
% 0.11/0.51 inference(miniscoping,[status(esa)],[f46])).
% 0.11/0.51 fof(f93,plain,(
% 0.11/0.51 ![X0,X1,X2,X3,X4,X5,X6]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~multiply(X1,sk_c9)=sk_c8|~inverse(X1)=sk_c9|~inverse(X2)=sk_c10|~multiply(X2,sk_c9)=sk_c10|~inverse(X3)=sk_c10|~multiply(X3,sk_c9)=sk_c10|~inverse(X4)=sk_c9|~multiply(X4,sk_c8)=sk_c9|~multiply(X5,X6)=sk_c9|~inverse(X5)=X6|~multiply(X6,sk_c8)=sk_c9)),
% 0.11/0.51 inference(cnf_transformation,[status(esa)],[f92])).
% 0.11/0.51 fof(f94,plain,(
% 0.11/0.51 spl0_0 <=> multiply(sk_c1,sk_c10)=sk_c9),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f95,plain,(
% 0.11/0.51 multiply(sk_c1,sk_c10)=sk_c9|~spl0_0),
% 0.11/0.51 inference(component_clause,[status(thm)],[f94])).
% 0.11/0.51 fof(f97,plain,(
% 0.11/0.51 spl0_1 <=> inverse(sk_c4)=sk_c10),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f98,plain,(
% 0.11/0.51 inverse(sk_c4)=sk_c10|~spl0_1),
% 0.11/0.51 inference(component_clause,[status(thm)],[f97])).
% 0.11/0.51 fof(f100,plain,(
% 0.11/0.51 spl0_0|spl0_1),
% 0.11/0.51 inference(split_clause,[status(thm)],[f50,f94,f97])).
% 0.11/0.51 fof(f101,plain,(
% 0.11/0.51 spl0_2 <=> multiply(sk_c4,sk_c9)=sk_c10),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f102,plain,(
% 0.11/0.51 multiply(sk_c4,sk_c9)=sk_c10|~spl0_2),
% 0.11/0.51 inference(component_clause,[status(thm)],[f101])).
% 0.11/0.51 fof(f104,plain,(
% 0.11/0.51 spl0_0|spl0_2),
% 0.11/0.51 inference(split_clause,[status(thm)],[f51,f94,f101])).
% 0.11/0.51 fof(f105,plain,(
% 0.11/0.51 spl0_3 <=> inverse(sk_c5)=sk_c9),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f106,plain,(
% 0.11/0.51 inverse(sk_c5)=sk_c9|~spl0_3),
% 0.11/0.51 inference(component_clause,[status(thm)],[f105])).
% 0.11/0.51 fof(f108,plain,(
% 0.11/0.51 spl0_0|spl0_3),
% 0.11/0.51 inference(split_clause,[status(thm)],[f52,f94,f105])).
% 0.11/0.51 fof(f109,plain,(
% 0.11/0.51 spl0_4 <=> multiply(sk_c5,sk_c8)=sk_c9),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f110,plain,(
% 0.11/0.51 multiply(sk_c5,sk_c8)=sk_c9|~spl0_4),
% 0.11/0.51 inference(component_clause,[status(thm)],[f109])).
% 0.11/0.51 fof(f112,plain,(
% 0.11/0.51 spl0_0|spl0_4),
% 0.11/0.51 inference(split_clause,[status(thm)],[f53,f94,f109])).
% 0.11/0.51 fof(f113,plain,(
% 0.11/0.51 spl0_5 <=> multiply(sk_c6,sk_c7)=sk_c9),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f114,plain,(
% 0.11/0.51 multiply(sk_c6,sk_c7)=sk_c9|~spl0_5),
% 0.11/0.51 inference(component_clause,[status(thm)],[f113])).
% 0.11/0.51 fof(f116,plain,(
% 0.11/0.51 spl0_0|spl0_5),
% 0.11/0.51 inference(split_clause,[status(thm)],[f54,f94,f113])).
% 0.11/0.51 fof(f117,plain,(
% 0.11/0.51 spl0_6 <=> inverse(sk_c6)=sk_c7),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f118,plain,(
% 0.11/0.51 inverse(sk_c6)=sk_c7|~spl0_6),
% 0.11/0.51 inference(component_clause,[status(thm)],[f117])).
% 0.11/0.51 fof(f120,plain,(
% 0.11/0.51 spl0_0|spl0_6),
% 0.11/0.51 inference(split_clause,[status(thm)],[f55,f94,f117])).
% 0.11/0.51 fof(f121,plain,(
% 0.11/0.51 spl0_7 <=> multiply(sk_c7,sk_c8)=sk_c9),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f122,plain,(
% 0.11/0.51 multiply(sk_c7,sk_c8)=sk_c9|~spl0_7),
% 0.11/0.51 inference(component_clause,[status(thm)],[f121])).
% 0.11/0.51 fof(f124,plain,(
% 0.11/0.51 spl0_0|spl0_7),
% 0.11/0.51 inference(split_clause,[status(thm)],[f56,f94,f121])).
% 0.11/0.51 fof(f125,plain,(
% 0.11/0.51 spl0_8 <=> inverse(sk_c1)=sk_c10),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f126,plain,(
% 0.11/0.51 inverse(sk_c1)=sk_c10|~spl0_8),
% 0.11/0.51 inference(component_clause,[status(thm)],[f125])).
% 0.11/0.51 fof(f127,plain,(
% 0.11/0.51 ~inverse(sk_c1)=sk_c10|spl0_8),
% 0.11/0.51 inference(component_clause,[status(thm)],[f125])).
% 0.11/0.51 fof(f132,plain,(
% 0.11/0.51 spl0_8|spl0_5),
% 0.11/0.51 inference(split_clause,[status(thm)],[f61,f125,f113])).
% 0.11/0.51 fof(f133,plain,(
% 0.11/0.51 spl0_8|spl0_6),
% 0.11/0.51 inference(split_clause,[status(thm)],[f62,f125,f117])).
% 0.11/0.51 fof(f135,plain,(
% 0.11/0.51 spl0_9 <=> multiply(sk_c2,sk_c9)=sk_c8),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f136,plain,(
% 0.11/0.51 multiply(sk_c2,sk_c9)=sk_c8|~spl0_9),
% 0.11/0.51 inference(component_clause,[status(thm)],[f135])).
% 0.11/0.51 fof(f138,plain,(
% 0.11/0.51 spl0_9|spl0_1),
% 0.11/0.51 inference(split_clause,[status(thm)],[f64,f135,f97])).
% 0.11/0.51 fof(f139,plain,(
% 0.11/0.51 spl0_9|spl0_2),
% 0.11/0.51 inference(split_clause,[status(thm)],[f65,f135,f101])).
% 0.11/0.51 fof(f140,plain,(
% 0.11/0.51 spl0_9|spl0_3),
% 0.11/0.51 inference(split_clause,[status(thm)],[f66,f135,f105])).
% 0.11/0.51 fof(f141,plain,(
% 0.11/0.51 spl0_9|spl0_4),
% 0.11/0.51 inference(split_clause,[status(thm)],[f67,f135,f109])).
% 0.11/0.51 fof(f142,plain,(
% 0.11/0.51 spl0_9|spl0_5),
% 0.11/0.51 inference(split_clause,[status(thm)],[f68,f135,f113])).
% 0.11/0.51 fof(f143,plain,(
% 0.11/0.51 spl0_9|spl0_6),
% 0.11/0.51 inference(split_clause,[status(thm)],[f69,f135,f117])).
% 0.11/0.51 fof(f144,plain,(
% 0.11/0.51 spl0_9|spl0_7),
% 0.11/0.51 inference(split_clause,[status(thm)],[f70,f135,f121])).
% 0.11/0.51 fof(f145,plain,(
% 0.11/0.51 spl0_10 <=> inverse(sk_c2)=sk_c9),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f146,plain,(
% 0.11/0.51 inverse(sk_c2)=sk_c9|~spl0_10),
% 0.11/0.51 inference(component_clause,[status(thm)],[f145])).
% 0.11/0.51 fof(f148,plain,(
% 0.11/0.51 spl0_10|spl0_1),
% 0.11/0.51 inference(split_clause,[status(thm)],[f71,f145,f97])).
% 0.11/0.51 fof(f149,plain,(
% 0.11/0.51 spl0_10|spl0_2),
% 0.11/0.51 inference(split_clause,[status(thm)],[f72,f145,f101])).
% 0.11/0.51 fof(f150,plain,(
% 0.11/0.51 spl0_10|spl0_3),
% 0.11/0.51 inference(split_clause,[status(thm)],[f73,f145,f105])).
% 0.11/0.51 fof(f151,plain,(
% 0.11/0.51 spl0_10|spl0_4),
% 0.11/0.51 inference(split_clause,[status(thm)],[f74,f145,f109])).
% 0.11/0.51 fof(f152,plain,(
% 0.11/0.51 spl0_10|spl0_5),
% 0.11/0.51 inference(split_clause,[status(thm)],[f75,f145,f113])).
% 0.11/0.51 fof(f153,plain,(
% 0.11/0.51 spl0_10|spl0_6),
% 0.11/0.51 inference(split_clause,[status(thm)],[f76,f145,f117])).
% 0.11/0.51 fof(f154,plain,(
% 0.11/0.51 spl0_10|spl0_7),
% 0.11/0.51 inference(split_clause,[status(thm)],[f77,f145,f121])).
% 0.11/0.51 fof(f155,plain,(
% 0.11/0.51 spl0_11 <=> inverse(sk_c3)=sk_c10),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f156,plain,(
% 0.11/0.51 inverse(sk_c3)=sk_c10|~spl0_11),
% 0.11/0.51 inference(component_clause,[status(thm)],[f155])).
% 0.11/0.51 fof(f158,plain,(
% 0.11/0.51 spl0_11|spl0_1),
% 0.11/0.51 inference(split_clause,[status(thm)],[f78,f155,f97])).
% 0.11/0.51 fof(f159,plain,(
% 0.11/0.51 spl0_11|spl0_2),
% 0.11/0.51 inference(split_clause,[status(thm)],[f79,f155,f101])).
% 0.11/0.51 fof(f165,plain,(
% 0.11/0.51 spl0_12 <=> multiply(sk_c3,sk_c9)=sk_c10),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f166,plain,(
% 0.11/0.51 multiply(sk_c3,sk_c9)=sk_c10|~spl0_12),
% 0.11/0.51 inference(component_clause,[status(thm)],[f165])).
% 0.11/0.51 fof(f168,plain,(
% 0.11/0.51 spl0_12|spl0_1),
% 0.11/0.51 inference(split_clause,[status(thm)],[f85,f165,f97])).
% 0.11/0.51 fof(f169,plain,(
% 0.11/0.51 spl0_12|spl0_2),
% 0.11/0.51 inference(split_clause,[status(thm)],[f86,f165,f101])).
% 0.11/0.51 fof(f175,plain,(
% 0.11/0.51 spl0_13 <=> ~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f176,plain,(
% 0.11/0.51 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~spl0_13)),
% 0.11/0.51 inference(component_clause,[status(thm)],[f175])).
% 0.11/0.51 fof(f178,plain,(
% 0.11/0.51 spl0_14 <=> ~multiply(X1,sk_c9)=sk_c8|~inverse(X1)=sk_c9),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f179,plain,(
% 0.11/0.51 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~spl0_14)),
% 0.11/0.51 inference(component_clause,[status(thm)],[f178])).
% 0.11/0.51 fof(f181,plain,(
% 0.11/0.51 spl0_15 <=> ~inverse(X2)=sk_c10|~multiply(X2,sk_c9)=sk_c10),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f182,plain,(
% 0.11/0.51 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10|~spl0_15)),
% 0.11/0.51 inference(component_clause,[status(thm)],[f181])).
% 0.11/0.51 fof(f184,plain,(
% 0.11/0.51 spl0_16 <=> ~inverse(X4)=sk_c9|~multiply(X4,sk_c8)=sk_c9),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f185,plain,(
% 0.11/0.51 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~spl0_16)),
% 0.11/0.51 inference(component_clause,[status(thm)],[f184])).
% 0.11/0.51 fof(f187,plain,(
% 0.11/0.51 spl0_17 <=> ~multiply(X5,X6)=sk_c9|~inverse(X5)=X6|~multiply(X6,sk_c8)=sk_c9),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f188,plain,(
% 0.11/0.51 ![X0,X1]: (~multiply(X0,X1)=sk_c9|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c9|~spl0_17)),
% 0.11/0.51 inference(component_clause,[status(thm)],[f187])).
% 0.11/0.51 fof(f190,plain,(
% 0.11/0.51 spl0_13|spl0_14|spl0_15|spl0_16|spl0_17),
% 0.11/0.51 inference(split_clause,[status(thm)],[f93,f175,f178,f181,f184,f187])).
% 0.11/0.51 fof(f191,plain,(
% 0.11/0.51 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c8)=sk_c9|~spl0_17)),
% 0.11/0.51 inference(destructive_equality_resolution,[status(esa)],[f188])).
% 0.11/0.51 fof(f208,plain,(
% 0.11/0.51 spl0_22 <=> multiply(inverse(sk_c6),sk_c8)=sk_c9),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f210,plain,(
% 0.11/0.51 ~multiply(inverse(sk_c6),sk_c8)=sk_c9|spl0_22),
% 0.11/0.51 inference(component_clause,[status(thm)],[f208])).
% 0.11/0.51 fof(f211,plain,(
% 0.11/0.51 ~multiply(sk_c6,sk_c7)=sk_c9|~multiply(inverse(sk_c6),sk_c8)=sk_c9|~spl0_17|~spl0_6),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f118,f191])).
% 0.11/0.51 fof(f212,plain,(
% 0.11/0.51 ~spl0_5|~spl0_22|~spl0_17|~spl0_6),
% 0.11/0.51 inference(split_clause,[status(thm)],[f211,f113,f208,f187,f117])).
% 0.11/0.51 fof(f213,plain,(
% 0.11/0.51 spl0_23 <=> multiply(inverse(sk_c1),sk_c8)=sk_c9),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f216,plain,(
% 0.11/0.51 ~multiply(sk_c1,sk_c10)=sk_c9|~multiply(inverse(sk_c1),sk_c8)=sk_c9|~spl0_17|~spl0_8),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f126,f191])).
% 0.11/0.51 fof(f217,plain,(
% 0.11/0.51 ~spl0_0|~spl0_23|~spl0_17|~spl0_8),
% 0.11/0.51 inference(split_clause,[status(thm)],[f216,f94,f213,f187,f125])).
% 0.11/0.51 fof(f221,plain,(
% 0.11/0.51 spl0_25 <=> multiply(inverse(sk_c2),sk_c8)=sk_c9),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f223,plain,(
% 0.11/0.51 ~multiply(inverse(sk_c2),sk_c8)=sk_c9|spl0_25),
% 0.11/0.51 inference(component_clause,[status(thm)],[f221])).
% 0.11/0.51 fof(f236,plain,(
% 0.11/0.51 ~multiply(sk_c9,sk_c8)=sk_c9|~spl0_10|spl0_25),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f146,f223])).
% 0.11/0.51 fof(f240,plain,(
% 0.11/0.51 spl0_28 <=> sk_c9=sk_c9),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f242,plain,(
% 0.11/0.51 ~sk_c9=sk_c9|spl0_28),
% 0.11/0.51 inference(component_clause,[status(thm)],[f240])).
% 0.11/0.51 fof(f243,plain,(
% 0.11/0.51 ~inverse(sk_c5)=sk_c9|~sk_c9=sk_c9|~spl0_16|~spl0_4),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f110,f185])).
% 0.11/0.51 fof(f244,plain,(
% 0.11/0.51 ~spl0_3|~spl0_28|~spl0_16|~spl0_4),
% 0.11/0.51 inference(split_clause,[status(thm)],[f243,f105,f240,f184,f109])).
% 0.11/0.51 fof(f250,plain,(
% 0.11/0.51 $false|spl0_28),
% 0.11/0.51 inference(trivial_equality_resolution,[status(esa)],[f242])).
% 0.11/0.51 fof(f251,plain,(
% 0.11/0.51 spl0_28),
% 0.11/0.51 inference(contradiction_clause,[status(thm)],[f250])).
% 0.11/0.51 fof(f252,plain,(
% 0.11/0.51 ~inverse(sk_c4)=sk_c10|~spl0_15|~spl0_2),
% 0.11/0.51 inference(resolution,[status(thm)],[f182,f102])).
% 0.11/0.51 fof(f253,plain,(
% 0.11/0.51 ~inverse(sk_c3)=sk_c10|~spl0_15|~spl0_12),
% 0.11/0.51 inference(resolution,[status(thm)],[f182,f166])).
% 0.11/0.51 fof(f254,plain,(
% 0.11/0.51 ~sk_c10=sk_c10|~spl0_11|~spl0_15|~spl0_12),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f156,f253])).
% 0.11/0.51 fof(f255,plain,(
% 0.11/0.51 $false|~spl0_11|~spl0_15|~spl0_12),
% 0.11/0.51 inference(trivial_equality_resolution,[status(esa)],[f254])).
% 0.11/0.51 fof(f256,plain,(
% 0.11/0.51 ~spl0_11|~spl0_15|~spl0_12),
% 0.11/0.51 inference(contradiction_clause,[status(thm)],[f255])).
% 0.11/0.51 fof(f257,plain,(
% 0.11/0.51 ~multiply(sk_c7,sk_c8)=sk_c9|~spl0_6|spl0_22),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f118,f210])).
% 0.11/0.51 fof(f258,plain,(
% 0.11/0.51 ~sk_c9=sk_c9|~spl0_7|~spl0_6|spl0_22),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f122,f257])).
% 0.11/0.51 fof(f259,plain,(
% 0.11/0.51 $false|~spl0_7|~spl0_6|spl0_22),
% 0.11/0.51 inference(trivial_equality_resolution,[status(esa)],[f258])).
% 0.11/0.51 fof(f260,plain,(
% 0.11/0.51 ~spl0_7|~spl0_6|spl0_22),
% 0.11/0.51 inference(contradiction_clause,[status(thm)],[f259])).
% 0.11/0.51 fof(f273,plain,(
% 0.11/0.51 spl0_32 <=> sk_c8=sk_c8),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f275,plain,(
% 0.11/0.51 ~sk_c8=sk_c8|spl0_32),
% 0.11/0.51 inference(component_clause,[status(thm)],[f273])).
% 0.11/0.51 fof(f276,plain,(
% 0.11/0.51 ~sk_c8=sk_c8|~inverse(sk_c2)=sk_c9|~spl0_14|~spl0_9),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f136,f179])).
% 0.11/0.51 fof(f277,plain,(
% 0.11/0.51 ~spl0_32|~spl0_10|~spl0_14|~spl0_9),
% 0.11/0.51 inference(split_clause,[status(thm)],[f276,f273,f145,f178,f135])).
% 0.11/0.51 fof(f283,plain,(
% 0.11/0.51 $false|spl0_32),
% 0.11/0.51 inference(trivial_equality_resolution,[status(esa)],[f275])).
% 0.11/0.51 fof(f284,plain,(
% 0.11/0.51 spl0_32),
% 0.11/0.51 inference(contradiction_clause,[status(thm)],[f283])).
% 0.11/0.51 fof(f290,plain,(
% 0.11/0.51 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~spl0_5)),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f114,f49])).
% 0.11/0.51 fof(f299,plain,(
% 0.11/0.51 multiply(sk_c9,sk_c8)=multiply(sk_c6,sk_c9)|~spl0_5|~spl0_7),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f122,f290])).
% 0.11/0.51 fof(f441,plain,(
% 0.11/0.51 ~sk_c9=sk_c9|~inverse(sk_c1)=sk_c10|~spl0_13|~spl0_0),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f95,f176])).
% 0.11/0.51 fof(f442,plain,(
% 0.11/0.51 ~spl0_28|~spl0_8|~spl0_13|~spl0_0),
% 0.11/0.51 inference(split_clause,[status(thm)],[f441,f240,f125,f175,f94])).
% 0.11/0.51 fof(f444,plain,(
% 0.11/0.51 spl0_43 <=> sk_c10=sk_c10),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f446,plain,(
% 0.11/0.51 ~sk_c10=sk_c10|spl0_43),
% 0.11/0.51 inference(component_clause,[status(thm)],[f444])).
% 0.11/0.51 fof(f454,plain,(
% 0.11/0.51 ~sk_c10=sk_c10|~spl0_1|~spl0_15|~spl0_2),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f98,f252])).
% 0.11/0.51 fof(f455,plain,(
% 0.11/0.51 $false|~spl0_1|~spl0_15|~spl0_2),
% 0.11/0.51 inference(trivial_equality_resolution,[status(esa)],[f454])).
% 0.11/0.51 fof(f456,plain,(
% 0.11/0.51 ~spl0_1|~spl0_15|~spl0_2),
% 0.11/0.51 inference(contradiction_clause,[status(thm)],[f455])).
% 0.11/0.51 fof(f457,plain,(
% 0.11/0.51 $false|spl0_43),
% 0.11/0.51 inference(trivial_equality_resolution,[status(esa)],[f446])).
% 0.11/0.51 fof(f458,plain,(
% 0.11/0.51 spl0_43),
% 0.11/0.51 inference(contradiction_clause,[status(thm)],[f457])).
% 0.11/0.51 fof(f467,plain,(
% 0.11/0.51 ![X0,X1]: (~inverse(multiply(X0,X1))=sk_c9|~multiply(X0,multiply(X1,sk_c8))=sk_c9|~spl0_16)),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f49,f185])).
% 0.11/0.51 fof(f503,plain,(
% 0.11/0.51 ![X0,X1,X2]: (~inverse(multiply(multiply(X0,X1),X2))=sk_c9|~multiply(X0,multiply(X1,multiply(X2,sk_c8)))=sk_c9|~spl0_16)),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f49,f467])).
% 0.11/0.51 fof(f504,plain,(
% 0.11/0.51 ![X0,X1,X2]: (~inverse(multiply(X0,multiply(X1,X2)))=sk_c9|~multiply(X0,multiply(X1,multiply(X2,sk_c8)))=sk_c9|~spl0_16)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f49,f503])).
% 0.11/0.51 fof(f521,plain,(
% 0.11/0.51 ![X0,X1,X2,X3]: (~inverse(multiply(multiply(X0,X1),multiply(X2,X3)))=sk_c9|~multiply(X0,multiply(X1,multiply(X2,multiply(X3,sk_c8))))=sk_c9|~spl0_16)),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f49,f504])).
% 0.11/0.51 fof(f522,plain,(
% 0.11/0.51 ![X0,X1,X2,X3]: (~inverse(multiply(X0,multiply(X1,multiply(X2,X3))))=sk_c9|~multiply(X0,multiply(X1,multiply(X2,multiply(X3,sk_c8))))=sk_c9|~spl0_16)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f49,f521])).
% 0.11/0.51 fof(f595,plain,(
% 0.11/0.51 ![X0,X1,X2,X3,X4]: (~inverse(multiply(multiply(X0,X1),multiply(X2,multiply(X3,X4))))=sk_c9|~multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X4,sk_c8)))))=sk_c9|~spl0_16)),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f49,f522])).
% 0.11/0.51 fof(f596,plain,(
% 0.11/0.51 ![X0,X1,X2,X3,X4]: (~inverse(multiply(X0,multiply(X1,multiply(X2,multiply(X3,X4)))))=sk_c9|~multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X4,sk_c8)))))=sk_c9|~spl0_16)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f49,f595])).
% 0.11/0.51 fof(f671,plain,(
% 0.11/0.51 spl0_55 <=> ~inverse(multiply(inverse(multiply(X0,multiply(X1,multiply(X2,multiply(X3,sk_c8))))),multiply(X0,multiply(X1,multiply(X2,X3)))))=sk_c9),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f674,plain,(
% 0.11/0.51 spl0_56 <=> identity=sk_c9),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f675,plain,(
% 0.11/0.51 identity=sk_c9|~spl0_56),
% 0.11/0.51 inference(component_clause,[status(thm)],[f674])).
% 0.11/0.51 fof(f676,plain,(
% 0.11/0.51 ~identity=sk_c9|spl0_56),
% 0.11/0.51 inference(component_clause,[status(thm)],[f674])).
% 0.11/0.51 fof(f677,plain,(
% 0.11/0.51 ![X0,X1,X2,X3]: (~inverse(multiply(inverse(multiply(X0,multiply(X1,multiply(X2,multiply(X3,sk_c8))))),multiply(X0,multiply(X1,multiply(X2,X3)))))=sk_c9|~identity=sk_c9|~spl0_16)),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f48,f596])).
% 0.11/0.51 fof(f678,plain,(
% 0.11/0.51 spl0_55|~spl0_56|~spl0_16),
% 0.11/0.51 inference(split_clause,[status(thm)],[f677,f671,f674,f184])).
% 0.11/0.51 fof(f680,plain,(
% 0.11/0.51 spl0_57 <=> ~inverse(multiply(inverse(multiply(X0,multiply(X1,multiply(X2,sk_c8)))),multiply(X0,multiply(X1,X2))))=sk_c9),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f683,plain,(
% 0.11/0.51 ![X0,X1,X2]: (~inverse(multiply(inverse(multiply(X0,multiply(X1,multiply(X2,sk_c8)))),multiply(X0,multiply(X1,X2))))=sk_c9|~identity=sk_c9|~spl0_16)),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f48,f522])).
% 0.11/0.51 fof(f684,plain,(
% 0.11/0.51 spl0_57|~spl0_56|~spl0_16),
% 0.11/0.51 inference(split_clause,[status(thm)],[f683,f680,f674,f184])).
% 0.11/0.51 fof(f687,plain,(
% 0.11/0.51 spl0_58 <=> ~inverse(multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(X0,X1)))=sk_c9),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f688,plain,(
% 0.11/0.51 ![X0,X1]: (~inverse(multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(X0,X1)))=sk_c9|~spl0_58)),
% 0.11/0.51 inference(component_clause,[status(thm)],[f687])).
% 0.11/0.51 fof(f690,plain,(
% 0.11/0.51 ![X0,X1]: (~inverse(multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(X0,X1)))=sk_c9|~identity=sk_c9|~spl0_16)),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f48,f504])).
% 0.11/0.51 fof(f691,plain,(
% 0.11/0.51 spl0_58|~spl0_56|~spl0_16),
% 0.11/0.51 inference(split_clause,[status(thm)],[f690,f687,f674,f184])).
% 0.11/0.51 fof(f692,plain,(
% 0.11/0.51 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f48,f49])).
% 0.11/0.51 fof(f693,plain,(
% 0.11/0.51 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f47,f692])).
% 0.11/0.51 fof(f711,plain,(
% 0.11/0.51 sk_c9=multiply(inverse(sk_c2),sk_c8)|~spl0_9),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f136,f693])).
% 0.11/0.51 fof(f712,plain,(
% 0.11/0.51 sk_c9=multiply(sk_c9,sk_c8)|~spl0_10|~spl0_9),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f146,f711])).
% 0.11/0.51 fof(f713,plain,(
% 0.11/0.51 $false|spl0_25|~spl0_10|~spl0_9),
% 0.11/0.51 inference(forward_subsumption_resolution,[status(thm)],[f712,f236])).
% 0.11/0.51 fof(f714,plain,(
% 0.11/0.51 spl0_25|~spl0_10|~spl0_9),
% 0.11/0.51 inference(contradiction_clause,[status(thm)],[f713])).
% 0.11/0.51 fof(f717,plain,(
% 0.11/0.51 sk_c10=multiply(inverse(sk_c1),sk_c9)|~spl0_0),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f95,f693])).
% 0.11/0.51 fof(f718,plain,(
% 0.11/0.51 sk_c10=multiply(sk_c10,sk_c9)|~spl0_8|~spl0_0),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f126,f717])).
% 0.11/0.51 fof(f719,plain,(
% 0.11/0.51 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f49,f693])).
% 0.11/0.51 fof(f728,plain,(
% 0.11/0.51 sk_c9=multiply(inverse(sk_c10),sk_c10)|~spl0_8|~spl0_0),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f718,f693])).
% 0.11/0.51 fof(f729,plain,(
% 0.11/0.51 sk_c9=identity|~spl0_8|~spl0_0),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f48,f728])).
% 0.11/0.51 fof(f732,plain,(
% 0.11/0.51 inverse(sk_c5)=identity|~spl0_8|~spl0_0|~spl0_3),
% 0.11/0.51 inference(backward_demodulation,[status(thm)],[f729,f106])).
% 0.11/0.51 fof(f764,plain,(
% 0.11/0.51 inverse(sk_c2)=identity|~spl0_8|~spl0_0|~spl0_10),
% 0.11/0.51 inference(backward_demodulation,[status(thm)],[f729,f146])).
% 0.11/0.51 fof(f772,plain,(
% 0.11/0.51 identity=multiply(sk_c9,sk_c8)|~spl0_8|~spl0_0|~spl0_10|~spl0_9),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f729,f712])).
% 0.11/0.51 fof(f773,plain,(
% 0.11/0.51 identity=multiply(identity,sk_c8)|~spl0_8|~spl0_0|~spl0_10|~spl0_9),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f729,f772])).
% 0.11/0.51 fof(f774,plain,(
% 0.11/0.51 identity=sk_c8|~spl0_8|~spl0_0|~spl0_10|~spl0_9),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f47,f773])).
% 0.11/0.51 fof(f812,plain,(
% 0.11/0.51 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),multiply(X3,X0))))),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f49,f719])).
% 0.11/0.51 fof(f813,plain,(
% 0.11/0.51 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,multiply(X3,X0)))))),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f49,f812])).
% 0.11/0.51 fof(f829,plain,(
% 0.11/0.51 ![X0,X1,X2]: (multiply(X0,X1)=multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,X1)))),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f693,f719])).
% 0.11/0.51 fof(f837,plain,(
% 0.11/0.51 ![X0]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),sk_c8)=sk_c9|~spl0_8|~spl0_0|~spl0_17)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f729,f191])).
% 0.11/0.51 fof(f838,plain,(
% 0.11/0.51 ![X0]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),identity)=sk_c9|~spl0_10|~spl0_9|~spl0_8|~spl0_0|~spl0_17)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f774,f837])).
% 0.11/0.51 fof(f839,plain,(
% 0.11/0.51 ![X0]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),identity)=identity|~spl0_10|~spl0_9|~spl0_8|~spl0_0|~spl0_17)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f729,f838])).
% 0.11/0.51 fof(f851,plain,(
% 0.11/0.51 spl0_62 <=> multiply(inverse(identity),identity)=identity),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f853,plain,(
% 0.11/0.51 ~multiply(inverse(identity),identity)=identity|spl0_62),
% 0.11/0.51 inference(component_clause,[status(thm)],[f851])).
% 0.11/0.51 fof(f891,plain,(
% 0.11/0.51 ~identity=identity|spl0_62),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f48,f853])).
% 0.11/0.51 fof(f892,plain,(
% 0.11/0.51 $false|spl0_62),
% 0.11/0.51 inference(trivial_equality_resolution,[status(esa)],[f891])).
% 0.11/0.51 fof(f893,plain,(
% 0.11/0.51 spl0_62),
% 0.11/0.51 inference(contradiction_clause,[status(thm)],[f892])).
% 0.11/0.51 fof(f904,plain,(
% 0.11/0.51 sk_c8=multiply(inverse(sk_c5),sk_c9)|~spl0_4),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f110,f693])).
% 0.11/0.51 fof(f905,plain,(
% 0.11/0.51 sk_c8=multiply(sk_c9,sk_c9)|~spl0_3|~spl0_4),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f106,f904])).
% 0.11/0.51 fof(f910,plain,(
% 0.11/0.51 sk_c7=multiply(inverse(sk_c6),sk_c9)|~spl0_5),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f114,f693])).
% 0.11/0.51 fof(f911,plain,(
% 0.11/0.51 sk_c7=multiply(sk_c7,sk_c9)|~spl0_6|~spl0_5),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f118,f910])).
% 0.11/0.51 fof(f926,plain,(
% 0.11/0.51 ![X0]: (sk_c9=multiply(inverse(multiply(X0,sk_c7)),multiply(X0,sk_c7))|~spl0_6|~spl0_5)),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f911,f719])).
% 0.11/0.51 fof(f927,plain,(
% 0.11/0.51 sk_c9=identity|~spl0_6|~spl0_5),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f48,f926])).
% 0.11/0.51 fof(f927,plain,(
% 0.11/0.51 sk_c9=identity|~spl0_6|~spl0_5),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f48,f926])).
% 0.11/0.51 fof(f933,plain,(
% 0.11/0.51 sk_c7=multiply(sk_c7,identity)|~spl0_6|~spl0_5),
% 0.11/0.51 inference(backward_demodulation,[status(thm)],[f927,f911])).
% 0.11/0.51 fof(f934,plain,(
% 0.11/0.51 sk_c8=multiply(sk_c9,identity)|~spl0_6|~spl0_5|~spl0_3|~spl0_4),
% 0.11/0.51 inference(backward_demodulation,[status(thm)],[f927,f905])).
% 0.11/0.51 fof(f935,plain,(
% 0.11/0.51 sk_c8=multiply(identity,identity)|~spl0_6|~spl0_5|~spl0_3|~spl0_4),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f927,f934])).
% 0.11/0.51 fof(f936,plain,(
% 0.11/0.51 sk_c8=identity|~spl0_6|~spl0_5|~spl0_3|~spl0_4),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f47,f935])).
% 0.11/0.51 fof(f941,plain,(
% 0.11/0.51 multiply(sk_c1,sk_c10)=identity|~spl0_6|~spl0_5|~spl0_0),
% 0.11/0.51 inference(backward_demodulation,[status(thm)],[f927,f95])).
% 0.11/0.51 fof(f963,plain,(
% 0.11/0.51 multiply(identity,sk_c8)=multiply(sk_c6,sk_c9)|~spl0_6|~spl0_5|~spl0_7),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f927,f299])).
% 0.11/0.51 fof(f964,plain,(
% 0.11/0.51 sk_c8=multiply(sk_c6,sk_c9)|~spl0_6|~spl0_5|~spl0_7),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f47,f963])).
% 0.11/0.51 fof(f965,plain,(
% 0.11/0.51 identity=multiply(sk_c6,sk_c9)|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_7),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f936,f964])).
% 0.11/0.51 fof(f966,plain,(
% 0.11/0.51 identity=multiply(sk_c6,identity)|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_7),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f927,f965])).
% 0.11/0.51 fof(f970,plain,(
% 0.11/0.51 identity=multiply(inverse(sk_c6),identity)|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_7),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f966,f693])).
% 0.11/0.51 fof(f971,plain,(
% 0.11/0.51 identity=multiply(sk_c7,identity)|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_7),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f118,f970])).
% 0.11/0.51 fof(f972,plain,(
% 0.11/0.51 identity=sk_c7|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_7),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f933,f971])).
% 0.11/0.51 fof(f978,plain,(
% 0.11/0.51 inverse(sk_c6)=identity|~spl0_3|~spl0_4|~spl0_5|~spl0_7|~spl0_6),
% 0.11/0.51 inference(backward_demodulation,[status(thm)],[f972,f118])).
% 0.11/0.51 fof(f987,plain,(
% 0.11/0.51 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f48,f829])).
% 0.11/0.51 fof(f1032,plain,(
% 0.11/0.51 ![X0]: (inverse(X0)=multiply(inverse(X0),identity))),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f987,f693])).
% 0.11/0.51 fof(f1053,plain,(
% 0.11/0.51 ![X0]: (~multiply(X0,identity)=sk_c8|~inverse(X0)=sk_c9|~spl0_6|~spl0_5|~spl0_14)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f927,f179])).
% 0.11/0.51 fof(f1054,plain,(
% 0.11/0.51 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c9|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_14)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f936,f1053])).
% 0.11/0.51 fof(f1055,plain,(
% 0.11/0.51 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_14)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f927,f1054])).
% 0.11/0.51 fof(f1059,plain,(
% 0.11/0.51 spl0_71 <=> identity=identity),
% 0.11/0.51 introduced(split_symbol_definition)).
% 0.11/0.51 fof(f1061,plain,(
% 0.11/0.51 ~identity=identity|spl0_71),
% 0.11/0.51 inference(component_clause,[status(thm)],[f1059])).
% 0.11/0.51 fof(f1090,plain,(
% 0.11/0.51 $false|spl0_71),
% 0.11/0.51 inference(trivial_equality_resolution,[status(esa)],[f1061])).
% 0.11/0.51 fof(f1091,plain,(
% 0.11/0.51 spl0_71),
% 0.11/0.51 inference(contradiction_clause,[status(thm)],[f1090])).
% 0.11/0.51 fof(f1092,plain,(
% 0.11/0.51 ![X0]: (~multiply(X0,sk_c10)=identity|~inverse(X0)=sk_c10|~spl0_6|~spl0_5|~spl0_13)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f927,f176])).
% 0.11/0.51 fof(f1125,plain,(
% 0.11/0.51 sk_c10=multiply(inverse(sk_c1),identity)|~spl0_6|~spl0_5|~spl0_0),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f941,f693])).
% 0.11/0.51 fof(f1126,plain,(
% 0.11/0.51 sk_c10=inverse(sk_c1)|~spl0_6|~spl0_5|~spl0_0),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f1032,f1125])).
% 0.11/0.51 fof(f1127,plain,(
% 0.11/0.51 $false|spl0_8|~spl0_6|~spl0_5|~spl0_0),
% 0.11/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1126,f127])).
% 0.11/0.51 fof(f1128,plain,(
% 0.11/0.51 spl0_8|~spl0_6|~spl0_5|~spl0_0),
% 0.11/0.51 inference(contradiction_clause,[status(thm)],[f1127])).
% 0.11/0.51 fof(f1140,plain,(
% 0.11/0.51 multiply(identity,sk_c2)=identity|~spl0_8|~spl0_0|~spl0_10),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f764,f48])).
% 0.11/0.51 fof(f1141,plain,(
% 0.11/0.51 sk_c2=identity|~spl0_8|~spl0_0|~spl0_10),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f47,f1140])).
% 0.11/0.51 fof(f1155,plain,(
% 0.11/0.51 inverse(identity)=identity|~spl0_8|~spl0_0|~spl0_10),
% 0.11/0.51 inference(backward_demodulation,[status(thm)],[f1141,f764])).
% 0.11/0.51 fof(f1271,plain,(
% 0.11/0.51 inverse(sk_c5)=identity|~spl0_8|~spl0_0|~spl0_3),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f729,f106])).
% 0.11/0.51 fof(f1279,plain,(
% 0.11/0.51 multiply(identity,sk_c5)=identity|~spl0_8|~spl0_0|~spl0_3),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f1271,f48])).
% 0.11/0.51 fof(f1280,plain,(
% 0.11/0.51 sk_c5=identity|~spl0_8|~spl0_0|~spl0_3),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f47,f1279])).
% 0.11/0.51 fof(f1289,plain,(
% 0.11/0.51 inverse(identity)=identity|~spl0_8|~spl0_0|~spl0_3),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f1280,f732])).
% 0.11/0.51 fof(f1315,plain,(
% 0.11/0.51 multiply(identity,sk_c6)=identity|~spl0_3|~spl0_4|~spl0_5|~spl0_7|~spl0_6),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f978,f48])).
% 0.11/0.51 fof(f1316,plain,(
% 0.11/0.51 sk_c6=identity|~spl0_3|~spl0_4|~spl0_5|~spl0_7|~spl0_6),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f47,f1315])).
% 0.11/0.51 fof(f1403,plain,(
% 0.11/0.51 ~inverse(inverse(identity))=identity|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_14),
% 0.11/0.51 inference(resolution,[status(thm)],[f1055,f48])).
% 0.11/0.51 fof(f1404,plain,(
% 0.11/0.51 ~inverse(identity)=identity|~spl0_8|~spl0_0|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_14),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f1289,f1403])).
% 0.11/0.51 fof(f1405,plain,(
% 0.11/0.51 ~identity=identity|~spl0_8|~spl0_0|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_14),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f1289,f1404])).
% 0.11/0.51 fof(f1406,plain,(
% 0.11/0.51 $false|~spl0_8|~spl0_0|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_14),
% 0.11/0.51 inference(trivial_equality_resolution,[status(esa)],[f1405])).
% 0.11/0.51 fof(f1407,plain,(
% 0.11/0.51 ~spl0_8|~spl0_0|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_14),
% 0.11/0.51 inference(contradiction_clause,[status(thm)],[f1406])).
% 0.11/0.51 fof(f1416,plain,(
% 0.11/0.51 ~identity=identity|~spl0_8|~spl0_0|spl0_56),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f729,f676])).
% 0.11/0.51 fof(f1417,plain,(
% 0.11/0.51 $false|~spl0_8|~spl0_0|spl0_56),
% 0.11/0.51 inference(trivial_equality_resolution,[status(esa)],[f1416])).
% 0.11/0.51 fof(f1418,plain,(
% 0.11/0.51 ~spl0_8|~spl0_0|spl0_56),
% 0.11/0.51 inference(contradiction_clause,[status(thm)],[f1417])).
% 0.11/0.51 fof(f1422,plain,(
% 0.11/0.51 ![X0,X1]: (~inverse(multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(X0,X1)))=identity|~spl0_8|~spl0_0|~spl0_58)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f729,f688])).
% 0.11/0.51 fof(f1455,plain,(
% 0.11/0.51 ![X0]: (~identity=identity|~multiply(inverse(X0),identity)=identity|~spl0_10|~spl0_9|~spl0_8|~spl0_0|~spl0_17)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f987,f839])).
% 0.11/0.51 fof(f1456,plain,(
% 0.11/0.51 ![X0]: (~identity=identity|~inverse(X0)=identity|~spl0_10|~spl0_9|~spl0_8|~spl0_0|~spl0_17)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f1032,f1455])).
% 0.11/0.51 fof(f1457,plain,(
% 0.11/0.51 ![X0]: (~inverse(X0)=identity|~spl0_10|~spl0_9|~spl0_8|~spl0_0|~spl0_17)),
% 0.11/0.51 inference(trivial_equality_resolution,[status(esa)],[f1456])).
% 0.11/0.51 fof(f1486,plain,(
% 0.11/0.51 $false|~spl0_9|~spl0_17|~spl0_8|~spl0_0|~spl0_10),
% 0.11/0.51 inference(backward_subsumption_resolution,[status(thm)],[f1155,f1457])).
% 0.11/0.51 fof(f1487,plain,(
% 0.11/0.51 ~spl0_9|~spl0_17|~spl0_8|~spl0_0|~spl0_10),
% 0.11/0.51 inference(contradiction_clause,[status(thm)],[f1486])).
% 0.11/0.51 fof(f1633,plain,(
% 0.11/0.51 ![X0,X1]: (~inverse(multiply(inverse(multiply(X0,multiply(X1,identity))),multiply(X0,X1)))=identity|~spl0_10|~spl0_9|~spl0_8|~spl0_0|~spl0_58)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f774,f1422])).
% 0.11/0.51 fof(f1767,plain,(
% 0.11/0.51 ![X0,X1,X2]: (X0=multiply(inverse(multiply(inverse(multiply(X1,multiply(X2,X0))),multiply(X1,X2))),identity))),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f48,f813])).
% 0.11/0.51 fof(f1768,plain,(
% 0.11/0.51 ![X0,X1,X2]: (X0=inverse(multiply(inverse(multiply(X1,multiply(X2,X0))),multiply(X1,X2))))),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f1032,f1767])).
% 0.11/0.51 fof(f1816,plain,(
% 0.11/0.51 ~identity=identity|~spl0_10|~spl0_9|~spl0_8|~spl0_0|~spl0_58),
% 0.11/0.51 inference(backward_demodulation,[status(thm)],[f1768,f1633])).
% 0.11/0.51 fof(f1817,plain,(
% 0.11/0.51 ~spl0_71|~spl0_10|~spl0_9|~spl0_8|~spl0_0|~spl0_58),
% 0.11/0.51 inference(split_clause,[status(thm)],[f1816,f1059,f145,f135,f125,f94,f687])).
% 0.11/0.51 fof(f1822,plain,(
% 0.11/0.51 ![X0,X1]: (X0=inverse(multiply(inverse(X0),multiply(inverse(X1),X1))))),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f693,f1768])).
% 0.11/0.51 fof(f1823,plain,(
% 0.11/0.51 ![X0]: (X0=inverse(multiply(inverse(X0),identity)))),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f48,f1822])).
% 0.11/0.51 fof(f1824,plain,(
% 0.11/0.51 ![X0]: (X0=inverse(inverse(X0)))),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f1032,f1823])).
% 0.11/0.51 fof(f1873,plain,(
% 0.11/0.51 ![X0,X1,X2]: (inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1)))=multiply(X2,identity))),
% 0.11/0.51 inference(paramodulation,[status(thm)],[f1768,f1032])).
% 0.11/0.51 fof(f1874,plain,(
% 0.11/0.51 ![X0]: (X0=multiply(X0,identity))),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f1768,f1873])).
% 0.11/0.51 fof(f1889,plain,(
% 0.11/0.51 spl0_56|~spl0_6|~spl0_5),
% 0.11/0.51 inference(split_clause,[status(thm)],[f927,f674,f117,f113])).
% 0.11/0.51 fof(f1920,plain,(
% 0.11/0.51 inverse(identity)=sk_c7|~spl0_3|~spl0_4|~spl0_5|~spl0_7|~spl0_6),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f1316,f118])).
% 0.11/0.51 fof(f1921,plain,(
% 0.11/0.51 inverse(identity)=identity|~spl0_3|~spl0_4|~spl0_5|~spl0_7|~spl0_6),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f972,f1920])).
% 0.11/0.51 fof(f1975,plain,(
% 0.11/0.51 ~inverse(inverse(sk_c10))=sk_c10|~spl0_6|~spl0_5|~spl0_13),
% 0.11/0.51 inference(resolution,[status(thm)],[f1092,f48])).
% 0.11/0.51 fof(f1976,plain,(
% 0.11/0.51 ~sk_c10=sk_c10|~spl0_6|~spl0_5|~spl0_13),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f1824,f1975])).
% 0.11/0.51 fof(f1977,plain,(
% 0.11/0.51 $false|~spl0_6|~spl0_5|~spl0_13),
% 0.11/0.51 inference(trivial_equality_resolution,[status(esa)],[f1976])).
% 0.11/0.51 fof(f1978,plain,(
% 0.11/0.51 ~spl0_6|~spl0_5|~spl0_13),
% 0.11/0.51 inference(contradiction_clause,[status(thm)],[f1977])).
% 0.11/0.51 fof(f1979,plain,(
% 0.11/0.51 ![X0]: (~multiply(X0,identity)=sk_c8|~inverse(X0)=sk_c9|~spl0_56|~spl0_14)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f675,f179])).
% 0.11/0.51 fof(f1980,plain,(
% 0.11/0.51 ![X0]: (~X0=sk_c8|~inverse(X0)=sk_c9|~spl0_56|~spl0_14)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f1874,f1979])).
% 0.11/0.51 fof(f1981,plain,(
% 0.11/0.51 ![X0]: (~X0=identity|~inverse(X0)=sk_c9|~spl0_6|~spl0_5|~spl0_3|~spl0_4|~spl0_56|~spl0_14)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f936,f1980])).
% 0.11/0.51 fof(f1982,plain,(
% 0.11/0.51 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_6|~spl0_5|~spl0_3|~spl0_4|~spl0_56|~spl0_14)),
% 0.11/0.51 inference(forward_demodulation,[status(thm)],[f675,f1981])).
% 0.11/0.51 fof(f1983,plain,(
% 0.11/0.51 ~inverse(identity)=identity|~spl0_6|~spl0_5|~spl0_3|~spl0_4|~spl0_56|~spl0_14),
% 0.11/0.51 inference(destructive_equality_resolution,[status(esa)],[f1982])).
% 0.11/0.51 fof(f1984,plain,(
% 0.11/0.51 $false|~spl0_7|~spl0_6|~spl0_5|~spl0_3|~spl0_4|~spl0_56|~spl0_14),
% 0.11/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1983,f1921])).
% 0.11/0.51 fof(f1985,plain,(
% 0.11/0.51 ~spl0_7|~spl0_6|~spl0_5|~spl0_3|~spl0_4|~spl0_56|~spl0_14),
% 0.11/0.51 inference(contradiction_clause,[status(thm)],[f1984])).
% 0.11/0.51 fof(f1986,plain,(
% 0.11/0.51 $false),
% 0.11/0.51 inference(sat_refutation,[status(thm)],[f100,f104,f108,f112,f116,f120,f124,f132,f133,f138,f139,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f153,f154,f158,f159,f168,f169,f190,f212,f217,f244,f251,f256,f260,f277,f284,f442,f456,f458,f678,f684,f691,f714,f893,f1091,f1128,f1407,f1418,f1487,f1817,f1889,f1978,f1985])).
% 0.11/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.53 % Elapsed time: 0.260013 seconds
% 0.11/0.53 % CPU time: 1.861884 seconds
% 0.11/0.53 % Memory used: 95.339 MB
%------------------------------------------------------------------------------