TSTP Solution File: GRP357-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP357-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:20:11 EDT 2024
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : GRP357-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n024.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Apr 30 00:19:51 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.14/0.32 % Drodi V3.6.0
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,axiom,(
% 0.14/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f2,axiom,(
% 0.14/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f3,axiom,(
% 0.14/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f4,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f5,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f7,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f8,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f9,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f10,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c8) = sk_c6| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f11,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c8) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f12,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f13,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c8) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f14,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f15,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f16,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f17,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f18,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f19,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f20,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f21,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f22,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f23,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c2| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f24,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c2| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f25,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f26,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c2| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f27,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c2| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f28,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f29,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f30,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f31,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f32,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f33,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f34,negated_conjecture,(
% 0.14/0.41 (![X3,X4,X1,X2,X5]: (( multiply(sk_c7,sk_c6) != sk_c8| inverse(sk_c8) != sk_c6| multiply(X3,X4) != sk_c8| inverse(X3) != X4| multiply(X4,sk_c7) != sk_c8| multiply(sk_c8,sk_c7) != sk_c6| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X5,sk_c8) != X2| inverse(X5) != sk_c8 ) ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f35,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.41 fof(f36,plain,(
% 0.14/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.41 fof(f37,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.41 fof(f38,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.41 fof(f39,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.41 fof(f40,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.41 fof(f41,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f7])).
% 0.14/0.41 fof(f42,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.41 fof(f43,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.41 fof(f44,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c6|multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.41 fof(f45,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f11])).
% 0.14/0.41 fof(f46,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.41 fof(f47,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.41 fof(f48,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f14])).
% 0.14/0.41 fof(f49,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f15])).
% 0.14/0.41 fof(f50,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f16])).
% 0.14/0.41 fof(f51,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f17])).
% 0.14/0.41 fof(f52,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f18])).
% 0.14/0.41 fof(f53,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f19])).
% 0.14/0.41 fof(f54,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f20])).
% 0.14/0.41 fof(f55,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f21])).
% 0.14/0.41 fof(f56,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f22])).
% 0.14/0.41 fof(f57,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c2|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f23])).
% 0.14/0.41 fof(f58,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c2|inverse(sk_c3)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f24])).
% 0.14/0.41 fof(f59,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f25])).
% 0.14/0.41 fof(f60,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c2|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f26])).
% 0.14/0.41 fof(f61,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c2|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f27])).
% 0.14/0.41 fof(f62,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f28])).
% 0.14/0.41 fof(f63,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f29])).
% 0.14/0.41 fof(f64,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f30])).
% 0.14/0.41 fof(f65,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f31])).
% 0.14/0.41 fof(f66,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f32])).
% 0.14/0.41 fof(f67,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f33])).
% 0.14/0.41 fof(f68,plain,(
% 0.14/0.41 ![X5]: ((![X2]: (((![X1]: ((((![X4]: ((![X3]: (((~multiply(sk_c7,sk_c6)=sk_c8|~inverse(sk_c8)=sk_c6)|~multiply(X3,X4)=sk_c8)|~inverse(X3)=X4))|~multiply(X4,sk_c7)=sk_c8))|~multiply(sk_c8,sk_c7)=sk_c6)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X5,sk_c8)=X2))|~inverse(X5)=sk_c8)),
% 0.14/0.41 inference(miniscoping,[status(esa)],[f34])).
% 0.14/0.41 fof(f69,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c6)=sk_c8|~inverse(sk_c8)=sk_c6|~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8|~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8)),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f68])).
% 0.14/0.41 fof(f70,plain,(
% 0.14/0.41 spl0_0 <=> multiply(sk_c7,sk_c6)=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f71,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c6)=sk_c8|~spl0_0),
% 0.14/0.41 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.41 fof(f72,plain,(
% 0.14/0.41 ~multiply(sk_c7,sk_c6)=sk_c8|spl0_0),
% 0.14/0.41 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.41 fof(f73,plain,(
% 0.14/0.41 spl0_1 <=> multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f74,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c7)=sk_c6|~spl0_1),
% 0.14/0.41 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.41 fof(f75,plain,(
% 0.14/0.41 ~multiply(sk_c8,sk_c7)=sk_c6|spl0_1),
% 0.14/0.41 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.41 fof(f76,plain,(
% 0.14/0.41 spl0_0|spl0_1),
% 0.14/0.41 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.14/0.41 fof(f77,plain,(
% 0.14/0.41 spl0_2 <=> multiply(sk_c3,sk_c8)=sk_c7),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f78,plain,(
% 0.14/0.41 multiply(sk_c3,sk_c8)=sk_c7|~spl0_2),
% 0.14/0.41 inference(component_clause,[status(thm)],[f77])).
% 0.14/0.41 fof(f80,plain,(
% 0.14/0.41 spl0_0|spl0_2),
% 0.14/0.41 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.14/0.41 fof(f81,plain,(
% 0.14/0.41 spl0_3 <=> inverse(sk_c3)=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f82,plain,(
% 0.14/0.41 inverse(sk_c3)=sk_c8|~spl0_3),
% 0.14/0.41 inference(component_clause,[status(thm)],[f81])).
% 0.14/0.41 fof(f83,plain,(
% 0.14/0.41 ~inverse(sk_c3)=sk_c8|spl0_3),
% 0.14/0.41 inference(component_clause,[status(thm)],[f81])).
% 0.14/0.41 fof(f84,plain,(
% 0.14/0.41 spl0_0|spl0_3),
% 0.14/0.41 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.14/0.41 fof(f85,plain,(
% 0.14/0.41 spl0_4 <=> multiply(sk_c8,sk_c5)=sk_c7),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f86,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c5)=sk_c7|~spl0_4),
% 0.14/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.41 fof(f88,plain,(
% 0.14/0.41 spl0_0|spl0_4),
% 0.14/0.41 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.14/0.41 fof(f89,plain,(
% 0.14/0.41 spl0_5 <=> multiply(sk_c4,sk_c8)=sk_c5),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f90,plain,(
% 0.14/0.41 multiply(sk_c4,sk_c8)=sk_c5|~spl0_5),
% 0.14/0.41 inference(component_clause,[status(thm)],[f89])).
% 0.14/0.41 fof(f92,plain,(
% 0.14/0.41 spl0_0|spl0_5),
% 0.14/0.41 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.14/0.41 fof(f93,plain,(
% 0.14/0.41 spl0_6 <=> inverse(sk_c4)=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f94,plain,(
% 0.14/0.41 inverse(sk_c4)=sk_c8|~spl0_6),
% 0.14/0.41 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.41 fof(f96,plain,(
% 0.14/0.41 spl0_0|spl0_6),
% 0.14/0.41 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.14/0.41 fof(f97,plain,(
% 0.14/0.41 spl0_7 <=> inverse(sk_c8)=sk_c6),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f98,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c6|~spl0_7),
% 0.14/0.41 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.41 fof(f99,plain,(
% 0.14/0.41 ~inverse(sk_c8)=sk_c6|spl0_7),
% 0.14/0.41 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.41 fof(f100,plain,(
% 0.14/0.41 spl0_7|spl0_1),
% 0.14/0.41 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.14/0.41 fof(f101,plain,(
% 0.14/0.41 spl0_7|spl0_2),
% 0.14/0.41 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.14/0.41 fof(f102,plain,(
% 0.14/0.41 spl0_7|spl0_3),
% 0.14/0.41 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.14/0.41 fof(f103,plain,(
% 0.14/0.41 spl0_7|spl0_4),
% 0.14/0.41 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.14/0.41 fof(f104,plain,(
% 0.14/0.41 spl0_7|spl0_5),
% 0.14/0.41 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.14/0.41 fof(f105,plain,(
% 0.14/0.41 spl0_7|spl0_6),
% 0.14/0.41 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.14/0.41 fof(f106,plain,(
% 0.14/0.41 spl0_8 <=> multiply(sk_c1,sk_c2)=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f107,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c2)=sk_c8|~spl0_8),
% 0.14/0.41 inference(component_clause,[status(thm)],[f106])).
% 0.14/0.41 fof(f109,plain,(
% 0.14/0.41 spl0_8|spl0_1),
% 0.14/0.41 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.14/0.41 fof(f110,plain,(
% 0.14/0.41 spl0_8|spl0_2),
% 0.14/0.41 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.14/0.41 fof(f111,plain,(
% 0.14/0.41 spl0_8|spl0_3),
% 0.14/0.41 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.14/0.41 fof(f112,plain,(
% 0.14/0.41 spl0_8|spl0_4),
% 0.14/0.41 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.14/0.41 fof(f113,plain,(
% 0.14/0.41 spl0_8|spl0_5),
% 0.14/0.41 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.14/0.41 fof(f114,plain,(
% 0.14/0.41 spl0_8|spl0_6),
% 0.14/0.41 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.14/0.41 fof(f115,plain,(
% 0.14/0.41 spl0_9 <=> inverse(sk_c1)=sk_c2),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f116,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c2|~spl0_9),
% 0.14/0.41 inference(component_clause,[status(thm)],[f115])).
% 0.14/0.41 fof(f118,plain,(
% 0.14/0.41 spl0_9|spl0_1),
% 0.14/0.41 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.14/0.41 fof(f119,plain,(
% 0.14/0.41 spl0_9|spl0_2),
% 0.14/0.41 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.14/0.41 fof(f120,plain,(
% 0.14/0.41 spl0_9|spl0_3),
% 0.14/0.41 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.14/0.41 fof(f121,plain,(
% 0.14/0.41 spl0_9|spl0_4),
% 0.14/0.41 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.14/0.41 fof(f122,plain,(
% 0.14/0.41 spl0_9|spl0_5),
% 0.14/0.41 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.14/0.41 fof(f123,plain,(
% 0.14/0.41 spl0_9|spl0_6),
% 0.14/0.41 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.14/0.41 fof(f124,plain,(
% 0.14/0.41 spl0_10 <=> multiply(sk_c2,sk_c7)=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f125,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c7)=sk_c8|~spl0_10),
% 0.14/0.41 inference(component_clause,[status(thm)],[f124])).
% 0.14/0.41 fof(f127,plain,(
% 0.14/0.41 spl0_10|spl0_1),
% 0.14/0.41 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.14/0.41 fof(f128,plain,(
% 0.14/0.41 spl0_10|spl0_2),
% 0.14/0.41 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.14/0.41 fof(f129,plain,(
% 0.14/0.41 spl0_10|spl0_3),
% 0.14/0.41 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.14/0.41 fof(f130,plain,(
% 0.14/0.41 spl0_10|spl0_4),
% 0.14/0.41 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.14/0.41 fof(f131,plain,(
% 0.14/0.41 spl0_10|spl0_5),
% 0.14/0.41 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.14/0.41 fof(f132,plain,(
% 0.14/0.41 spl0_10|spl0_6),
% 0.14/0.41 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.14/0.41 fof(f133,plain,(
% 0.14/0.41 spl0_11 <=> ~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f134,plain,(
% 0.14/0.41 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~spl0_11)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.41 fof(f136,plain,(
% 0.14/0.41 spl0_12 <=> ~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f137,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_12)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f136])).
% 0.14/0.41 fof(f139,plain,(
% 0.14/0.41 spl0_13 <=> ~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f140,plain,(
% 0.14/0.41 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_13)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f139])).
% 0.14/0.41 fof(f142,plain,(
% 0.14/0.41 ~spl0_0|~spl0_7|spl0_11|~spl0_1|spl0_12|spl0_13),
% 0.14/0.41 inference(split_clause,[status(thm)],[f69,f70,f97,f133,f73,f136,f139])).
% 0.14/0.41 fof(f143,plain,(
% 0.14/0.41 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_13)),
% 0.14/0.41 inference(destructive_equality_resolution,[status(esa)],[f140])).
% 0.14/0.41 fof(f144,plain,(
% 0.14/0.41 spl0_14 <=> multiply(sk_c8,sk_c7)=sk_c7),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f146,plain,(
% 0.14/0.41 ~multiply(sk_c8,sk_c7)=sk_c7|spl0_14),
% 0.14/0.41 inference(component_clause,[status(thm)],[f144])).
% 0.14/0.41 fof(f147,plain,(
% 0.14/0.41 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c3)=sk_c8|~spl0_13|~spl0_2),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f78,f143])).
% 0.14/0.41 fof(f148,plain,(
% 0.14/0.41 ~spl0_14|~spl0_3|~spl0_13|~spl0_2),
% 0.14/0.41 inference(split_clause,[status(thm)],[f147,f144,f81,f139,f77])).
% 0.14/0.41 fof(f149,plain,(
% 0.14/0.41 ~multiply(sk_c8,sk_c5)=sk_c7|~inverse(sk_c4)=sk_c8|~spl0_13|~spl0_5),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f90,f143])).
% 0.14/0.41 fof(f150,plain,(
% 0.14/0.41 ~spl0_4|~spl0_6|~spl0_13|~spl0_5),
% 0.14/0.41 inference(split_clause,[status(thm)],[f149,f85,f93,f139,f89])).
% 0.14/0.41 fof(f151,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_11)),
% 0.14/0.41 inference(destructive_equality_resolution,[status(esa)],[f134])).
% 0.14/0.41 fof(f152,plain,(
% 0.14/0.41 spl0_15 <=> multiply(sk_c8,inverse(sk_c8))=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f153,plain,(
% 0.14/0.41 multiply(sk_c8,inverse(sk_c8))=sk_c8|~spl0_15),
% 0.14/0.41 inference(component_clause,[status(thm)],[f152])).
% 0.14/0.41 fof(f154,plain,(
% 0.14/0.41 ~multiply(sk_c8,inverse(sk_c8))=sk_c8|spl0_15),
% 0.14/0.41 inference(component_clause,[status(thm)],[f152])).
% 0.14/0.41 fof(f155,plain,(
% 0.14/0.41 spl0_16 <=> multiply(sk_c6,sk_c7)=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f157,plain,(
% 0.14/0.41 ~multiply(sk_c6,sk_c7)=sk_c8|spl0_16),
% 0.14/0.41 inference(component_clause,[status(thm)],[f155])).
% 0.14/0.41 fof(f158,plain,(
% 0.14/0.41 ~multiply(sk_c8,inverse(sk_c8))=sk_c8|~multiply(sk_c6,sk_c7)=sk_c8|~spl0_11|~spl0_7),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f98,f151])).
% 0.14/0.41 fof(f159,plain,(
% 0.14/0.41 ~spl0_15|~spl0_16|~spl0_11|~spl0_7),
% 0.14/0.41 inference(split_clause,[status(thm)],[f158,f152,f155,f133,f97])).
% 0.14/0.41 fof(f160,plain,(
% 0.14/0.41 spl0_17 <=> multiply(sk_c1,inverse(sk_c1))=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f162,plain,(
% 0.14/0.41 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|spl0_17),
% 0.14/0.41 inference(component_clause,[status(thm)],[f160])).
% 0.14/0.41 fof(f163,plain,(
% 0.14/0.41 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|~multiply(sk_c2,sk_c7)=sk_c8|~spl0_11|~spl0_9),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f116,f151])).
% 0.14/0.41 fof(f164,plain,(
% 0.14/0.41 ~spl0_17|~spl0_10|~spl0_11|~spl0_9),
% 0.14/0.41 inference(split_clause,[status(thm)],[f163,f160,f124,f133,f115])).
% 0.14/0.41 fof(f165,plain,(
% 0.14/0.41 ~multiply(sk_c1,sk_c2)=sk_c8|~spl0_9|spl0_17),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f116,f162])).
% 0.14/0.41 fof(f166,plain,(
% 0.14/0.41 ~sk_c8=sk_c8|~spl0_8|~spl0_9|spl0_17),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f107,f165])).
% 0.14/0.41 fof(f167,plain,(
% 0.14/0.41 $false|~spl0_8|~spl0_9|spl0_17),
% 0.14/0.41 inference(trivial_equality_resolution,[status(esa)],[f166])).
% 0.14/0.41 fof(f168,plain,(
% 0.14/0.41 ~spl0_8|~spl0_9|spl0_17),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f167])).
% 0.14/0.41 fof(f171,plain,(
% 0.14/0.41 spl0_18 <=> sk_c7=sk_c7),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f173,plain,(
% 0.14/0.41 ~sk_c7=sk_c7|spl0_18),
% 0.14/0.41 inference(component_clause,[status(thm)],[f171])).
% 0.14/0.41 fof(f174,plain,(
% 0.14/0.41 ~sk_c7=sk_c7|~inverse(sk_c3)=sk_c8|~spl0_12|~spl0_2),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f78,f137])).
% 0.14/0.41 fof(f175,plain,(
% 0.14/0.41 ~spl0_18|~spl0_3|~spl0_12|~spl0_2),
% 0.14/0.41 inference(split_clause,[status(thm)],[f174,f171,f81,f136,f77])).
% 0.14/0.41 fof(f176,plain,(
% 0.14/0.41 $false|spl0_18),
% 0.14/0.41 inference(trivial_equality_resolution,[status(esa)],[f173])).
% 0.14/0.41 fof(f177,plain,(
% 0.14/0.41 spl0_18),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f176])).
% 0.14/0.41 fof(f181,plain,(
% 0.14/0.41 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c4,multiply(sk_c8,X0))|~spl0_5)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f90,f37])).
% 0.14/0.41 fof(f182,plain,(
% 0.14/0.41 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c8,X0))|~spl0_2)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f78,f37])).
% 0.14/0.41 fof(f183,plain,(
% 0.14/0.41 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,multiply(sk_c5,X0))|~spl0_4)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f86,f37])).
% 0.14/0.41 fof(f185,plain,(
% 0.14/0.41 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c2,multiply(sk_c7,X0))|~spl0_10)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f125,f37])).
% 0.14/0.41 fof(f186,plain,(
% 0.14/0.41 multiply(sk_c5,sk_c5)=multiply(sk_c4,sk_c7)|~spl0_5|~spl0_4),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f86,f181])).
% 0.14/0.41 fof(f187,plain,(
% 0.14/0.41 multiply(sk_c5,sk_c7)=multiply(sk_c4,sk_c6)|~spl0_5|~spl0_1),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f74,f181])).
% 0.14/0.41 fof(f191,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c5)=multiply(sk_c3,sk_c7)|~spl0_2|~spl0_4),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f86,f182])).
% 0.14/0.41 fof(f192,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c7)=multiply(sk_c3,sk_c6)|~spl0_2|~spl0_1),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f74,f182])).
% 0.14/0.41 fof(f234,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c4)=identity|~spl0_6),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f94,f36])).
% 0.14/0.41 fof(f235,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c3)=identity|~spl0_3),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f82,f36])).
% 0.14/0.41 fof(f236,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c1)=identity|~spl0_9),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f116,f36])).
% 0.14/0.41 fof(f237,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.14/0.41 fof(f238,plain,(
% 0.14/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f237])).
% 0.14/0.41 fof(f241,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c4,X0))|~spl0_6)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f234,f37])).
% 0.14/0.41 fof(f242,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c8,multiply(sk_c4,X0))|~spl0_6)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f241])).
% 0.14/0.41 fof(f247,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c2,multiply(sk_c1,X0))|~spl0_9)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f236,f37])).
% 0.14/0.41 fof(f248,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c2,multiply(sk_c1,X0))|~spl0_9)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f247])).
% 0.14/0.41 fof(f249,plain,(
% 0.14/0.41 sk_c6=multiply(sk_c8,multiply(sk_c5,sk_c7))|~spl0_6|~spl0_5|~spl0_1),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f187,f242])).
% 0.14/0.41 fof(f250,plain,(
% 0.14/0.41 sk_c6=multiply(sk_c7,sk_c7)|~spl0_4|~spl0_6|~spl0_5|~spl0_1),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f183,f249])).
% 0.14/0.41 fof(f251,plain,(
% 0.14/0.41 sk_c7=multiply(sk_c8,multiply(sk_c5,sk_c5))|~spl0_6|~spl0_5|~spl0_4),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f186,f242])).
% 0.14/0.41 fof(f252,plain,(
% 0.14/0.41 sk_c7=multiply(sk_c7,sk_c5)|~spl0_6|~spl0_5|~spl0_4),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f183,f251])).
% 0.14/0.41 fof(f259,plain,(
% 0.14/0.41 sk_c8=multiply(sk_c8,sk_c5)|~spl0_6|~spl0_5),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f90,f242])).
% 0.14/0.41 fof(f260,plain,(
% 0.14/0.41 sk_c8=sk_c7|~spl0_4|~spl0_6|~spl0_5),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f86,f259])).
% 0.14/0.41 fof(f266,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c3)=identity|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f260,f235])).
% 0.14/0.41 fof(f276,plain,(
% 0.14/0.41 inverse(sk_c3)=sk_c7|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f260,f82])).
% 0.14/0.41 fof(f277,plain,(
% 0.14/0.41 ~multiply(sk_c7,sk_c6)=sk_c7|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f260,f72])).
% 0.14/0.41 fof(f286,plain,(
% 0.14/0.41 sk_c6=multiply(sk_c3,sk_c6)|~spl0_4|~spl0_6|~spl0_5|~spl0_2|~spl0_1),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f250,f192])).
% 0.14/0.41 fof(f291,plain,(
% 0.14/0.41 sk_c7=multiply(sk_c3,sk_c7)|~spl0_6|~spl0_5|~spl0_2|~spl0_4),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f252,f191])).
% 0.14/0.41 fof(f370,plain,(
% 0.14/0.41 sk_c7=multiply(inverse(sk_c3),sk_c7)|~spl0_6|~spl0_5|~spl0_2|~spl0_4),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f291,f238])).
% 0.14/0.41 fof(f371,plain,(
% 0.14/0.41 sk_c7=multiply(sk_c7,sk_c7)|~spl0_3|~spl0_6|~spl0_5|~spl0_2|~spl0_4),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f276,f370])).
% 0.14/0.41 fof(f372,plain,(
% 0.14/0.41 sk_c7=sk_c6|~spl0_1|~spl0_3|~spl0_6|~spl0_5|~spl0_2|~spl0_4),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f250,f371])).
% 0.14/0.41 fof(f373,plain,(
% 0.14/0.41 sk_c6=multiply(inverse(sk_c3),sk_c6)|~spl0_4|~spl0_6|~spl0_5|~spl0_2|~spl0_1),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f286,f238])).
% 0.14/0.41 fof(f374,plain,(
% 0.14/0.41 sk_c6=multiply(sk_c7,sk_c6)|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_2|~spl0_1),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f276,f373])).
% 0.14/0.41 fof(f405,plain,(
% 0.14/0.41 ~multiply(sk_c7,sk_c7)=sk_c7|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f372,f277])).
% 0.14/0.41 fof(f411,plain,(
% 0.14/0.41 sk_c7=multiply(sk_c7,sk_c6)|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_2|~spl0_1),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f372,f374])).
% 0.14/0.41 fof(f412,plain,(
% 0.14/0.41 sk_c7=multiply(sk_c7,sk_c7)|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_2|~spl0_1),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f372,f411])).
% 0.14/0.41 fof(f415,plain,(
% 0.14/0.41 sk_c7=multiply(inverse(sk_c7),sk_c7)|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_2|~spl0_1),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f412,f238])).
% 0.14/0.41 fof(f416,plain,(
% 0.14/0.41 sk_c7=identity|~spl0_3|~spl0_4|~spl0_6|~spl0_5|~spl0_2|~spl0_1),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f36,f415])).
% 0.14/0.41 fof(f421,plain,(
% 0.14/0.41 identity=sk_c6|~spl0_1|~spl0_3|~spl0_6|~spl0_5|~spl0_2|~spl0_4),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f416,f372])).
% 0.14/0.41 fof(f428,plain,(
% 0.14/0.41 inverse(sk_c3)=identity|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f416,f276])).
% 0.14/0.41 fof(f435,plain,(
% 0.14/0.41 multiply(identity,sk_c3)=identity|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f416,f266])).
% 0.14/0.41 fof(f436,plain,(
% 0.14/0.41 sk_c3=identity|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f435])).
% 0.14/0.41 fof(f437,plain,(
% 0.14/0.41 sk_c8=identity|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f416,f260])).
% 0.14/0.41 fof(f442,plain,(
% 0.14/0.41 inverse(identity)=identity|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f436,f428])).
% 0.14/0.41 fof(f453,plain,(
% 0.14/0.41 ~multiply(identity,sk_c7)=sk_c7|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f416,f405])).
% 0.14/0.41 fof(f454,plain,(
% 0.14/0.41 ~sk_c7=sk_c7|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f453])).
% 0.14/0.41 fof(f455,plain,(
% 0.14/0.41 ~identity=sk_c7|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f416,f454])).
% 0.14/0.41 fof(f456,plain,(
% 0.14/0.41 ~identity=identity|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f416,f455])).
% 0.14/0.41 fof(f457,plain,(
% 0.14/0.41 $false|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.14/0.41 inference(trivial_equality_resolution,[status(esa)],[f456])).
% 0.14/0.41 fof(f458,plain,(
% 0.14/0.41 ~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f457])).
% 0.14/0.41 fof(f462,plain,(
% 0.14/0.41 ~inverse(identity)=sk_c6|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_7),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f437,f99])).
% 0.14/0.41 fof(f463,plain,(
% 0.14/0.41 ~identity=sk_c6|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_7),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f442,f462])).
% 0.14/0.41 fof(f464,plain,(
% 0.14/0.41 ~identity=identity|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_7),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f421,f463])).
% 0.14/0.41 fof(f465,plain,(
% 0.14/0.41 $false|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_7),
% 0.14/0.41 inference(trivial_equality_resolution,[status(esa)],[f464])).
% 0.14/0.41 fof(f466,plain,(
% 0.14/0.41 ~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_7),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f465])).
% 0.14/0.41 fof(f467,plain,(
% 0.14/0.41 ~multiply(sk_c6,sk_c7)=sk_c7|~spl0_4|~spl0_6|~spl0_5|spl0_16),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f260,f157])).
% 0.14/0.41 fof(f471,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c6)=sk_c7|~spl0_4|~spl0_6|~spl0_5|~spl0_0),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f260,f71])).
% 0.14/0.41 fof(f472,plain,(
% 0.14/0.41 sk_c6=multiply(inverse(sk_c7),sk_c7)|~spl0_4|~spl0_6|~spl0_5|~spl0_0),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f471,f238])).
% 0.14/0.41 fof(f473,plain,(
% 0.14/0.41 sk_c6=identity|~spl0_4|~spl0_6|~spl0_5|~spl0_0),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f36,f472])).
% 0.14/0.41 fof(f476,plain,(
% 0.14/0.41 ~multiply(identity,sk_c7)=sk_c7|~spl0_0|~spl0_4|~spl0_6|~spl0_5|spl0_16),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f473,f467])).
% 0.14/0.41 fof(f477,plain,(
% 0.14/0.41 ~sk_c7=sk_c7|~spl0_0|~spl0_4|~spl0_6|~spl0_5|spl0_16),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f476])).
% 0.14/0.41 fof(f478,plain,(
% 0.14/0.41 $false|~spl0_0|~spl0_4|~spl0_6|~spl0_5|spl0_16),
% 0.14/0.41 inference(trivial_equality_resolution,[status(esa)],[f477])).
% 0.14/0.41 fof(f479,plain,(
% 0.14/0.41 ~spl0_0|~spl0_4|~spl0_6|~spl0_5|spl0_16),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f478])).
% 0.14/0.41 fof(f499,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c6,multiply(sk_c8,X0))|~spl0_7)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f98,f238])).
% 0.14/0.41 fof(f503,plain,(
% 0.14/0.41 ~multiply(sk_c8,sk_c6)=sk_c8|~spl0_7|spl0_15),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f98,f154])).
% 0.14/0.41 fof(f518,plain,(
% 0.14/0.41 sk_c2=multiply(sk_c2,sk_c8)|~spl0_9|~spl0_8),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f107,f248])).
% 0.14/0.41 fof(f522,plain,(
% 0.14/0.41 sk_c8=multiply(inverse(sk_c2),sk_c2)|~spl0_9|~spl0_8),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f518,f238])).
% 0.14/0.41 fof(f523,plain,(
% 0.14/0.41 sk_c8=identity|~spl0_9|~spl0_8),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f36,f522])).
% 0.14/0.41 fof(f529,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c2,multiply(sk_c7,X0))|~spl0_9|~spl0_8|~spl0_10)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f523,f185])).
% 0.14/0.41 fof(f530,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c2,multiply(sk_c7,X0))|~spl0_9|~spl0_8|~spl0_10)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f529])).
% 0.14/0.41 fof(f531,plain,(
% 0.14/0.41 ~multiply(sk_c8,sk_c6)=identity|~spl0_9|~spl0_8|~spl0_7|spl0_15),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f523,f503])).
% 0.14/0.41 fof(f532,plain,(
% 0.14/0.41 ~multiply(identity,sk_c6)=identity|~spl0_9|~spl0_8|~spl0_7|spl0_15),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f523,f531])).
% 0.14/0.41 fof(f533,plain,(
% 0.14/0.41 ~sk_c6=identity|~spl0_9|~spl0_8|~spl0_7|spl0_15),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f532])).
% 0.14/0.41 fof(f535,plain,(
% 0.14/0.41 ~inverse(sk_c3)=identity|~spl0_9|~spl0_8|spl0_3),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f523,f83])).
% 0.14/0.41 fof(f537,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c7)=identity|~spl0_9|~spl0_8|~spl0_10),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f523,f125])).
% 0.14/0.41 fof(f543,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c6)=identity|~spl0_9|~spl0_8|~spl0_0),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f523,f71])).
% 0.14/0.41 fof(f544,plain,(
% 0.14/0.41 ~multiply(identity,sk_c7)=sk_c6|~spl0_9|~spl0_8|spl0_1),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f523,f75])).
% 0.14/0.41 fof(f545,plain,(
% 0.14/0.41 ~sk_c7=sk_c6|~spl0_9|~spl0_8|spl0_1),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f544])).
% 0.14/0.41 fof(f546,plain,(
% 0.14/0.41 ~multiply(identity,sk_c7)=sk_c7|~spl0_9|~spl0_8|spl0_14),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f523,f146])).
% 0.14/0.41 fof(f547,plain,(
% 0.14/0.41 ~sk_c7=sk_c7|~spl0_9|~spl0_8|spl0_14),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f546])).
% 0.14/0.41 fof(f548,plain,(
% 0.14/0.41 $false|~spl0_9|~spl0_8|spl0_14),
% 0.14/0.41 inference(trivial_equality_resolution,[status(esa)],[f547])).
% 0.14/0.41 fof(f549,plain,(
% 0.14/0.41 ~spl0_9|~spl0_8|spl0_14),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f548])).
% 0.14/0.41 fof(f560,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c6,X0))|~spl0_9|~spl0_8|~spl0_0)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f543,f37])).
% 0.14/0.41 fof(f561,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c7,multiply(sk_c6,X0))|~spl0_9|~spl0_8|~spl0_0)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f560])).
% 0.14/0.41 fof(f562,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c6,multiply(identity,X0))|~spl0_9|~spl0_8|~spl0_7)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f523,f499])).
% 0.14/0.41 fof(f563,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c6,X0)|~spl0_9|~spl0_8|~spl0_7)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f562])).
% 0.14/0.41 fof(f578,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c7,X0)|~spl0_7|~spl0_9|~spl0_8|~spl0_0)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f563,f561])).
% 0.14/0.41 fof(f579,plain,(
% 0.14/0.41 sk_c6=identity|~spl0_7|~spl0_9|~spl0_8|~spl0_0),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f578,f543])).
% 0.14/0.41 fof(f580,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c2,X0)|~spl0_7|~spl0_0|~spl0_9|~spl0_8|~spl0_10)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f578,f530])).
% 0.14/0.41 fof(f584,plain,(
% 0.14/0.41 sk_c7=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_8|~spl0_10),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f580,f537])).
% 0.14/0.41 fof(f601,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c3,multiply(sk_c8,X0))|~spl0_7|~spl0_0|~spl0_9|~spl0_8|~spl0_10|~spl0_2)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f584,f182])).
% 0.14/0.41 fof(f602,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c3,multiply(sk_c8,X0))|~spl0_7|~spl0_0|~spl0_9|~spl0_8|~spl0_10|~spl0_2)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f601])).
% 0.14/0.41 fof(f603,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c3,multiply(identity,X0))|~spl0_7|~spl0_0|~spl0_9|~spl0_8|~spl0_10|~spl0_2)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f523,f602])).
% 0.14/0.41 fof(f604,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c3,X0)|~spl0_7|~spl0_0|~spl0_9|~spl0_8|~spl0_10|~spl0_2)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f603])).
% 0.14/0.41 fof(f605,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(inverse(sk_c3),X0)|~spl0_7|~spl0_0|~spl0_9|~spl0_8|~spl0_10|~spl0_2)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f604,f238])).
% 0.14/0.41 fof(f663,plain,(
% 0.14/0.41 ~identity=identity|~spl0_0|~spl0_9|~spl0_8|~spl0_7|spl0_15),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f579,f533])).
% 0.14/0.41 fof(f664,plain,(
% 0.14/0.41 $false|~spl0_0|~spl0_9|~spl0_8|~spl0_7|spl0_15),
% 0.14/0.41 inference(trivial_equality_resolution,[status(esa)],[f663])).
% 0.14/0.41 fof(f665,plain,(
% 0.14/0.41 ~spl0_0|~spl0_9|~spl0_8|~spl0_7|spl0_15),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f664])).
% 0.14/0.41 fof(f666,plain,(
% 0.14/0.41 multiply(identity,inverse(sk_c8))=sk_c8|~spl0_9|~spl0_8|~spl0_15),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f523,f153])).
% 0.14/0.41 fof(f667,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c8|~spl0_9|~spl0_8|~spl0_15),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f666])).
% 0.14/0.41 fof(f668,plain,(
% 0.14/0.41 inverse(identity)=sk_c8|~spl0_9|~spl0_8|~spl0_15),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f523,f667])).
% 0.14/0.41 fof(f669,plain,(
% 0.14/0.41 inverse(identity)=identity|~spl0_9|~spl0_8|~spl0_15),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f523,f668])).
% 0.14/0.41 fof(f674,plain,(
% 0.14/0.41 ~identity=sk_c6|~spl0_7|~spl0_0|~spl0_10|~spl0_9|~spl0_8|spl0_1),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f584,f545])).
% 0.14/0.41 fof(f675,plain,(
% 0.14/0.41 ~identity=identity|~spl0_7|~spl0_0|~spl0_10|~spl0_9|~spl0_8|spl0_1),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f579,f674])).
% 0.14/0.41 fof(f676,plain,(
% 0.14/0.41 $false|~spl0_7|~spl0_0|~spl0_10|~spl0_9|~spl0_8|spl0_1),
% 0.14/0.41 inference(trivial_equality_resolution,[status(esa)],[f675])).
% 0.14/0.41 fof(f677,plain,(
% 0.14/0.41 ~spl0_7|~spl0_0|~spl0_10|~spl0_9|~spl0_8|spl0_1),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f676])).
% 0.14/0.41 fof(f678,plain,(
% 0.14/0.41 ![X0]: (~multiply(identity,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_9|~spl0_8|~spl0_13)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f523,f143])).
% 0.14/0.41 fof(f679,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_9|~spl0_8|~spl0_13)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f678])).
% 0.14/0.41 fof(f680,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c8|~spl0_9|~spl0_8|~spl0_13)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f523,f679])).
% 0.14/0.41 fof(f681,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c8|~spl0_7|~spl0_0|~spl0_10|~spl0_9|~spl0_8|~spl0_13)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f584,f680])).
% 0.14/0.41 fof(f682,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~spl0_7|~spl0_0|~spl0_10|~spl0_9|~spl0_8|~spl0_13)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f523,f681])).
% 0.14/0.41 fof(f724,plain,(
% 0.14/0.41 sk_c3=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_8|~spl0_10|~spl0_2),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f36,f605])).
% 0.14/0.41 fof(f732,plain,(
% 0.14/0.41 ~inverse(identity)=identity|~spl0_7|~spl0_0|~spl0_10|~spl0_2|~spl0_9|~spl0_8|spl0_3),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f724,f535])).
% 0.14/0.41 fof(f733,plain,(
% 0.14/0.41 ~identity=identity|~spl0_15|~spl0_7|~spl0_0|~spl0_10|~spl0_2|~spl0_9|~spl0_8|spl0_3),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f669,f732])).
% 0.14/0.42 fof(f734,plain,(
% 0.14/0.42 $false|~spl0_15|~spl0_7|~spl0_0|~spl0_10|~spl0_2|~spl0_9|~spl0_8|spl0_3),
% 0.14/0.42 inference(trivial_equality_resolution,[status(esa)],[f733])).
% 0.14/0.42 fof(f735,plain,(
% 0.14/0.42 ~spl0_15|~spl0_7|~spl0_0|~spl0_10|~spl0_2|~spl0_9|~spl0_8|spl0_3),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f734])).
% 0.14/0.42 fof(f738,plain,(
% 0.14/0.42 ~multiply(identity,identity)=identity|~spl0_7|~spl0_0|~spl0_10|~spl0_13|~spl0_9|~spl0_8|~spl0_15),
% 0.14/0.42 inference(resolution,[status(thm)],[f682,f669])).
% 0.14/0.42 fof(f739,plain,(
% 0.14/0.42 ~identity=identity|~spl0_7|~spl0_0|~spl0_10|~spl0_13|~spl0_9|~spl0_8|~spl0_15),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f35,f738])).
% 0.14/0.42 fof(f740,plain,(
% 0.14/0.42 $false|~spl0_7|~spl0_0|~spl0_10|~spl0_13|~spl0_9|~spl0_8|~spl0_15),
% 0.14/0.42 inference(trivial_equality_resolution,[status(esa)],[f739])).
% 0.14/0.42 fof(f741,plain,(
% 0.14/0.42 ~spl0_7|~spl0_0|~spl0_10|~spl0_13|~spl0_9|~spl0_8|~spl0_15),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f740])).
% 0.14/0.42 fof(f775,plain,(
% 0.14/0.42 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c8|~spl0_9|~spl0_8|~spl0_12)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f523,f137])).
% 0.14/0.42 fof(f776,plain,(
% 0.14/0.42 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c8|~spl0_7|~spl0_0|~spl0_10|~spl0_9|~spl0_8|~spl0_12)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f584,f775])).
% 0.14/0.42 fof(f777,plain,(
% 0.14/0.42 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~spl0_7|~spl0_0|~spl0_10|~spl0_9|~spl0_8|~spl0_12)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f523,f776])).
% 0.14/0.42 fof(f782,plain,(
% 0.14/0.42 ~multiply(identity,identity)=identity|~spl0_7|~spl0_0|~spl0_10|~spl0_12|~spl0_9|~spl0_8|~spl0_15),
% 0.14/0.42 inference(resolution,[status(thm)],[f777,f669])).
% 0.14/0.42 fof(f783,plain,(
% 0.14/0.42 ~identity=identity|~spl0_7|~spl0_0|~spl0_10|~spl0_12|~spl0_9|~spl0_8|~spl0_15),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f35,f782])).
% 0.14/0.42 fof(f784,plain,(
% 0.14/0.42 $false|~spl0_7|~spl0_0|~spl0_10|~spl0_12|~spl0_9|~spl0_8|~spl0_15),
% 0.14/0.42 inference(trivial_equality_resolution,[status(esa)],[f783])).
% 0.14/0.42 fof(f785,plain,(
% 0.14/0.42 ~spl0_7|~spl0_0|~spl0_10|~spl0_12|~spl0_9|~spl0_8|~spl0_15),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f784])).
% 0.14/0.42 fof(f841,plain,(
% 0.14/0.42 ~multiply(identity,sk_c6)=sk_c8|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_15),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f437,f503])).
% 0.14/0.42 fof(f842,plain,(
% 0.14/0.42 ~sk_c6=sk_c8|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_15),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f35,f841])).
% 0.14/0.42 fof(f843,plain,(
% 0.14/0.42 ~identity=sk_c8|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_15),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f421,f842])).
% 0.14/0.42 fof(f844,plain,(
% 0.14/0.42 ~identity=identity|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_15),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f437,f843])).
% 0.14/0.42 fof(f845,plain,(
% 0.14/0.42 $false|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_15),
% 0.14/0.42 inference(trivial_equality_resolution,[status(esa)],[f844])).
% 0.14/0.42 fof(f846,plain,(
% 0.14/0.42 ~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_7|spl0_15),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f845])).
% 0.14/0.42 fof(f847,plain,(
% 0.14/0.42 $false),
% 0.14/0.42 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f100,f101,f102,f103,f104,f105,f109,f110,f111,f112,f113,f114,f118,f119,f120,f121,f122,f123,f127,f128,f129,f130,f131,f132,f142,f148,f150,f159,f164,f168,f175,f177,f458,f466,f479,f549,f665,f677,f735,f741,f785,f846])).
% 0.14/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.106155 seconds
% 0.14/0.42 % CPU time: 0.715006 seconds
% 0.14/0.42 % Total memory used: 76.504 MB
% 0.14/0.42 % Net memory used: 75.678 MB
%------------------------------------------------------------------------------