TSTP Solution File: GRP359-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP359-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:20:12 EDT 2024
% Result : Unsatisfiable 0.16s 0.42s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP359-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 00:18:17 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 0.16/0.42 % Refutation found
% 0.16/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.42 fof(f1,axiom,(
% 0.16/0.42 (![X]: (multiply(identity,X) = X ))),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f2,axiom,(
% 0.16/0.42 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f3,axiom,(
% 0.16/0.42 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f4,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f5,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f6,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f7,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f8,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c7,sk_c6) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f9,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c7,sk_c6) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f10,negated_conjecture,(
% 0.16/0.42 ( inverse(sk_c8) = sk_c6| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f11,negated_conjecture,(
% 0.16/0.42 ( inverse(sk_c8) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f12,negated_conjecture,(
% 0.16/0.42 ( inverse(sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f13,negated_conjecture,(
% 0.16/0.42 ( inverse(sk_c8) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f14,negated_conjecture,(
% 0.16/0.42 ( inverse(sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f15,negated_conjecture,(
% 0.16/0.42 ( inverse(sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f16,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f17,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f18,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c8,sk_c2) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f19,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f20,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c8,sk_c2) = sk_c7| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f21,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c8,sk_c2) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f22,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f23,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f24,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c1,sk_c8) = sk_c2| inverse(sk_c3) = sk_c8 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f25,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f26,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c1,sk_c8) = sk_c2| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f27,negated_conjecture,(
% 0.16/0.42 ( multiply(sk_c1,sk_c8) = sk_c2| inverse(sk_c4) = sk_c8 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f28,negated_conjecture,(
% 0.16/0.42 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c7) = sk_c6 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f29,negated_conjecture,(
% 0.16/0.42 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f30,negated_conjecture,(
% 0.16/0.42 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f31,negated_conjecture,(
% 0.16/0.42 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f32,negated_conjecture,(
% 0.16/0.42 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f33,negated_conjecture,(
% 0.16/0.42 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f34,negated_conjecture,(
% 0.16/0.42 (![X3,X4,X1,X2,X5]: (( multiply(sk_c7,sk_c6) != sk_c8| inverse(sk_c8) != sk_c6| multiply(sk_c8,X3) != sk_c7| multiply(X4,sk_c8) != X3| inverse(X4) != 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 ) ))),
% 0.16/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.42 fof(f35,plain,(
% 0.16/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f1])).
% 0.16/0.42 fof(f36,plain,(
% 0.16/0.42 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f2])).
% 0.16/0.42 fof(f37,plain,(
% 0.16/0.42 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f3])).
% 0.16/0.42 fof(f38,plain,(
% 0.16/0.42 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f4])).
% 0.16/0.42 fof(f39,plain,(
% 0.16/0.42 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f5])).
% 0.16/0.42 fof(f40,plain,(
% 0.16/0.42 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f6])).
% 0.16/0.42 fof(f41,plain,(
% 0.16/0.42 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f7])).
% 0.16/0.42 fof(f42,plain,(
% 0.16/0.42 multiply(sk_c7,sk_c6)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f8])).
% 0.16/0.42 fof(f43,plain,(
% 0.16/0.42 multiply(sk_c7,sk_c6)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f9])).
% 0.16/0.42 fof(f44,plain,(
% 0.16/0.42 inverse(sk_c8)=sk_c6|multiply(sk_c8,sk_c7)=sk_c6),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f10])).
% 0.16/0.42 fof(f45,plain,(
% 0.16/0.42 inverse(sk_c8)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f11])).
% 0.16/0.42 fof(f46,plain,(
% 0.16/0.42 inverse(sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f12])).
% 0.16/0.42 fof(f47,plain,(
% 0.16/0.42 inverse(sk_c8)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f13])).
% 0.16/0.42 fof(f48,plain,(
% 0.16/0.42 inverse(sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f14])).
% 0.16/0.42 fof(f49,plain,(
% 0.16/0.42 inverse(sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f15])).
% 0.16/0.42 fof(f50,plain,(
% 0.16/0.42 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c8,sk_c7)=sk_c6),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f16])).
% 0.16/0.42 fof(f51,plain,(
% 0.16/0.42 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c3,sk_c8)=sk_c7),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f17])).
% 0.16/0.42 fof(f52,plain,(
% 0.16/0.42 multiply(sk_c8,sk_c2)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f18])).
% 0.16/0.42 fof(f53,plain,(
% 0.16/0.42 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c8,sk_c5)=sk_c7),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f19])).
% 0.16/0.42 fof(f54,plain,(
% 0.16/0.42 multiply(sk_c8,sk_c2)=sk_c7|multiply(sk_c4,sk_c8)=sk_c5),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f20])).
% 0.16/0.42 fof(f55,plain,(
% 0.16/0.42 multiply(sk_c8,sk_c2)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f21])).
% 0.16/0.42 fof(f56,plain,(
% 0.16/0.42 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c8,sk_c7)=sk_c6),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f22])).
% 0.16/0.42 fof(f57,plain,(
% 0.16/0.42 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c3,sk_c8)=sk_c7),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f23])).
% 0.16/0.42 fof(f58,plain,(
% 0.16/0.42 multiply(sk_c1,sk_c8)=sk_c2|inverse(sk_c3)=sk_c8),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f24])).
% 0.16/0.42 fof(f59,plain,(
% 0.16/0.42 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c8,sk_c5)=sk_c7),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f25])).
% 0.16/0.42 fof(f60,plain,(
% 0.16/0.42 multiply(sk_c1,sk_c8)=sk_c2|multiply(sk_c4,sk_c8)=sk_c5),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f26])).
% 0.16/0.42 fof(f61,plain,(
% 0.16/0.42 multiply(sk_c1,sk_c8)=sk_c2|inverse(sk_c4)=sk_c8),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f27])).
% 0.16/0.42 fof(f62,plain,(
% 0.16/0.42 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c7)=sk_c6),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f28])).
% 0.16/0.42 fof(f63,plain,(
% 0.16/0.42 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f29])).
% 0.16/0.42 fof(f64,plain,(
% 0.16/0.42 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f30])).
% 0.16/0.42 fof(f65,plain,(
% 0.16/0.42 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f31])).
% 0.16/0.42 fof(f66,plain,(
% 0.16/0.42 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f32])).
% 0.16/0.42 fof(f67,plain,(
% 0.16/0.42 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f33])).
% 0.16/0.42 fof(f68,plain,(
% 0.16/0.42 ![X5]: ((![X2]: (((![X1]: ((((![X4]: ((![X3]: (((~multiply(sk_c7,sk_c6)=sk_c8|~inverse(sk_c8)=sk_c6)|~multiply(sk_c8,X3)=sk_c7)|~multiply(X4,sk_c8)=X3))|~inverse(X4)=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)),
% 0.16/0.42 inference(miniscoping,[status(esa)],[f34])).
% 0.16/0.42 fof(f69,plain,(
% 0.16/0.42 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c6)=sk_c8|~inverse(sk_c8)=sk_c6|~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=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)),
% 0.16/0.42 inference(cnf_transformation,[status(esa)],[f68])).
% 0.16/0.42 fof(f70,plain,(
% 0.16/0.42 spl0_0 <=> multiply(sk_c7,sk_c6)=sk_c8),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f71,plain,(
% 0.16/0.42 multiply(sk_c7,sk_c6)=sk_c8|~spl0_0),
% 0.16/0.42 inference(component_clause,[status(thm)],[f70])).
% 0.16/0.42 fof(f72,plain,(
% 0.16/0.42 ~multiply(sk_c7,sk_c6)=sk_c8|spl0_0),
% 0.16/0.42 inference(component_clause,[status(thm)],[f70])).
% 0.16/0.42 fof(f73,plain,(
% 0.16/0.42 spl0_1 <=> multiply(sk_c8,sk_c7)=sk_c6),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f74,plain,(
% 0.16/0.42 multiply(sk_c8,sk_c7)=sk_c6|~spl0_1),
% 0.16/0.42 inference(component_clause,[status(thm)],[f73])).
% 0.16/0.42 fof(f75,plain,(
% 0.16/0.42 ~multiply(sk_c8,sk_c7)=sk_c6|spl0_1),
% 0.16/0.42 inference(component_clause,[status(thm)],[f73])).
% 0.16/0.42 fof(f76,plain,(
% 0.16/0.42 spl0_0|spl0_1),
% 0.16/0.42 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.16/0.42 fof(f77,plain,(
% 0.16/0.42 spl0_2 <=> multiply(sk_c3,sk_c8)=sk_c7),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f78,plain,(
% 0.16/0.42 multiply(sk_c3,sk_c8)=sk_c7|~spl0_2),
% 0.16/0.42 inference(component_clause,[status(thm)],[f77])).
% 0.16/0.42 fof(f80,plain,(
% 0.16/0.42 spl0_0|spl0_2),
% 0.16/0.42 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.16/0.42 fof(f81,plain,(
% 0.16/0.42 spl0_3 <=> inverse(sk_c3)=sk_c8),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f82,plain,(
% 0.16/0.42 inverse(sk_c3)=sk_c8|~spl0_3),
% 0.16/0.42 inference(component_clause,[status(thm)],[f81])).
% 0.16/0.42 fof(f84,plain,(
% 0.16/0.42 spl0_0|spl0_3),
% 0.16/0.42 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.16/0.42 fof(f85,plain,(
% 0.16/0.42 spl0_4 <=> multiply(sk_c8,sk_c5)=sk_c7),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f86,plain,(
% 0.16/0.42 multiply(sk_c8,sk_c5)=sk_c7|~spl0_4),
% 0.16/0.42 inference(component_clause,[status(thm)],[f85])).
% 0.16/0.42 fof(f88,plain,(
% 0.16/0.42 spl0_0|spl0_4),
% 0.16/0.42 inference(split_clause,[status(thm)],[f41,f70,f85])).
% 0.16/0.42 fof(f89,plain,(
% 0.16/0.42 spl0_5 <=> multiply(sk_c4,sk_c8)=sk_c5),
% 0.16/0.42 introduced(split_symbol_definition)).
% 0.16/0.42 fof(f90,plain,(
% 0.16/0.42 multiply(sk_c4,sk_c8)=sk_c5|~spl0_5),
% 0.16/0.42 inference(component_clause,[status(thm)],[f89])).
% 0.16/0.43 fof(f92,plain,(
% 0.16/0.43 spl0_0|spl0_5),
% 0.16/0.43 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.16/0.43 fof(f93,plain,(
% 0.16/0.43 spl0_6 <=> inverse(sk_c4)=sk_c8),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f94,plain,(
% 0.16/0.43 inverse(sk_c4)=sk_c8|~spl0_6),
% 0.16/0.43 inference(component_clause,[status(thm)],[f93])).
% 0.16/0.43 fof(f96,plain,(
% 0.16/0.43 spl0_0|spl0_6),
% 0.16/0.43 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.16/0.43 fof(f97,plain,(
% 0.16/0.43 spl0_7 <=> inverse(sk_c8)=sk_c6),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f98,plain,(
% 0.16/0.43 inverse(sk_c8)=sk_c6|~spl0_7),
% 0.16/0.43 inference(component_clause,[status(thm)],[f97])).
% 0.16/0.43 fof(f99,plain,(
% 0.16/0.43 ~inverse(sk_c8)=sk_c6|spl0_7),
% 0.16/0.43 inference(component_clause,[status(thm)],[f97])).
% 0.16/0.43 fof(f100,plain,(
% 0.16/0.43 spl0_7|spl0_1),
% 0.16/0.43 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.16/0.43 fof(f101,plain,(
% 0.16/0.43 spl0_7|spl0_2),
% 0.16/0.43 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.16/0.43 fof(f102,plain,(
% 0.16/0.43 spl0_7|spl0_3),
% 0.16/0.43 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.16/0.43 fof(f103,plain,(
% 0.16/0.43 spl0_7|spl0_4),
% 0.16/0.43 inference(split_clause,[status(thm)],[f47,f97,f85])).
% 0.16/0.43 fof(f104,plain,(
% 0.16/0.43 spl0_7|spl0_5),
% 0.16/0.43 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.16/0.43 fof(f105,plain,(
% 0.16/0.43 spl0_7|spl0_6),
% 0.16/0.43 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.16/0.43 fof(f106,plain,(
% 0.16/0.43 spl0_8 <=> multiply(sk_c8,sk_c2)=sk_c7),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f107,plain,(
% 0.16/0.43 multiply(sk_c8,sk_c2)=sk_c7|~spl0_8),
% 0.16/0.43 inference(component_clause,[status(thm)],[f106])).
% 0.16/0.43 fof(f109,plain,(
% 0.16/0.43 spl0_8|spl0_1),
% 0.16/0.43 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.16/0.43 fof(f110,plain,(
% 0.16/0.43 spl0_8|spl0_2),
% 0.16/0.43 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.16/0.43 fof(f111,plain,(
% 0.16/0.43 spl0_8|spl0_3),
% 0.16/0.43 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.16/0.43 fof(f112,plain,(
% 0.16/0.43 spl0_8|spl0_4),
% 0.16/0.43 inference(split_clause,[status(thm)],[f53,f106,f85])).
% 0.16/0.43 fof(f113,plain,(
% 0.16/0.43 spl0_8|spl0_5),
% 0.16/0.43 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.16/0.43 fof(f114,plain,(
% 0.16/0.43 spl0_8|spl0_6),
% 0.16/0.43 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.16/0.43 fof(f115,plain,(
% 0.16/0.43 spl0_9 <=> multiply(sk_c1,sk_c8)=sk_c2),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f116,plain,(
% 0.16/0.43 multiply(sk_c1,sk_c8)=sk_c2|~spl0_9),
% 0.16/0.43 inference(component_clause,[status(thm)],[f115])).
% 0.16/0.43 fof(f118,plain,(
% 0.16/0.43 spl0_9|spl0_1),
% 0.16/0.43 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.16/0.43 fof(f119,plain,(
% 0.16/0.43 spl0_9|spl0_2),
% 0.16/0.43 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.16/0.43 fof(f120,plain,(
% 0.16/0.43 spl0_9|spl0_3),
% 0.16/0.43 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.16/0.43 fof(f121,plain,(
% 0.16/0.43 spl0_9|spl0_4),
% 0.16/0.43 inference(split_clause,[status(thm)],[f59,f115,f85])).
% 0.16/0.43 fof(f122,plain,(
% 0.16/0.43 spl0_9|spl0_5),
% 0.16/0.43 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.16/0.43 fof(f123,plain,(
% 0.16/0.43 spl0_9|spl0_6),
% 0.16/0.43 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.16/0.43 fof(f124,plain,(
% 0.16/0.43 spl0_10 <=> inverse(sk_c1)=sk_c8),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f125,plain,(
% 0.16/0.43 inverse(sk_c1)=sk_c8|~spl0_10),
% 0.16/0.43 inference(component_clause,[status(thm)],[f124])).
% 0.16/0.43 fof(f127,plain,(
% 0.16/0.43 spl0_10|spl0_1),
% 0.16/0.43 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.16/0.43 fof(f128,plain,(
% 0.16/0.43 spl0_10|spl0_2),
% 0.16/0.43 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.16/0.43 fof(f129,plain,(
% 0.16/0.43 spl0_10|spl0_3),
% 0.16/0.43 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.16/0.43 fof(f130,plain,(
% 0.16/0.43 spl0_10|spl0_4),
% 0.16/0.43 inference(split_clause,[status(thm)],[f65,f124,f85])).
% 0.16/0.43 fof(f131,plain,(
% 0.16/0.43 spl0_10|spl0_5),
% 0.16/0.43 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.16/0.43 fof(f132,plain,(
% 0.16/0.43 spl0_10|spl0_6),
% 0.16/0.43 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.16/0.43 fof(f133,plain,(
% 0.16/0.43 spl0_11 <=> ~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f134,plain,(
% 0.16/0.43 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_11)),
% 0.16/0.43 inference(component_clause,[status(thm)],[f133])).
% 0.16/0.43 fof(f136,plain,(
% 0.16/0.43 spl0_12 <=> ~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f137,plain,(
% 0.16/0.43 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_12)),
% 0.16/0.43 inference(component_clause,[status(thm)],[f136])).
% 0.16/0.43 fof(f139,plain,(
% 0.16/0.43 ~spl0_0|~spl0_7|spl0_11|~spl0_1|spl0_12),
% 0.16/0.43 inference(split_clause,[status(thm)],[f69,f70,f97,f133,f73,f136])).
% 0.16/0.43 fof(f140,plain,(
% 0.16/0.43 ~inverse(sk_c3)=sk_c8|~spl0_12|~spl0_2),
% 0.16/0.43 inference(resolution,[status(thm)],[f137,f78])).
% 0.16/0.43 fof(f141,plain,(
% 0.16/0.43 ~sk_c8=sk_c8|~spl0_3|~spl0_12|~spl0_2),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f82,f140])).
% 0.16/0.43 fof(f142,plain,(
% 0.16/0.43 $false|~spl0_3|~spl0_12|~spl0_2),
% 0.16/0.43 inference(trivial_equality_resolution,[status(esa)],[f141])).
% 0.16/0.43 fof(f143,plain,(
% 0.16/0.43 ~spl0_3|~spl0_12|~spl0_2),
% 0.16/0.43 inference(contradiction_clause,[status(thm)],[f142])).
% 0.16/0.43 fof(f144,plain,(
% 0.16/0.43 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_11)),
% 0.16/0.43 inference(destructive_equality_resolution,[status(esa)],[f134])).
% 0.16/0.43 fof(f150,plain,(
% 0.16/0.43 ~multiply(sk_c8,sk_c5)=sk_c7|~inverse(sk_c4)=sk_c8|~spl0_11|~spl0_5),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f90,f144])).
% 0.16/0.43 fof(f151,plain,(
% 0.16/0.43 ~spl0_4|~spl0_6|~spl0_11|~spl0_5),
% 0.16/0.43 inference(split_clause,[status(thm)],[f150,f85,f93,f133,f89])).
% 0.16/0.43 fof(f152,plain,(
% 0.16/0.43 ~multiply(sk_c8,sk_c2)=sk_c7|~inverse(sk_c1)=sk_c8|~spl0_11|~spl0_9),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f116,f144])).
% 0.16/0.43 fof(f153,plain,(
% 0.16/0.43 ~spl0_8|~spl0_10|~spl0_11|~spl0_9),
% 0.16/0.43 inference(split_clause,[status(thm)],[f152,f106,f124,f133,f115])).
% 0.16/0.43 fof(f158,plain,(
% 0.16/0.43 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c8,X0))|~spl0_2)),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f78,f37])).
% 0.16/0.43 fof(f159,plain,(
% 0.16/0.43 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c4,multiply(sk_c8,X0))|~spl0_5)),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f90,f37])).
% 0.16/0.43 fof(f160,plain,(
% 0.16/0.43 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,multiply(sk_c5,X0))|~spl0_4)),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f86,f37])).
% 0.16/0.43 fof(f166,plain,(
% 0.16/0.43 multiply(sk_c7,sk_c5)=multiply(sk_c3,sk_c7)|~spl0_2|~spl0_4),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f86,f158])).
% 0.16/0.43 fof(f171,plain,(
% 0.16/0.43 multiply(sk_c5,sk_c5)=multiply(sk_c4,sk_c7)|~spl0_5|~spl0_4),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f86,f159])).
% 0.16/0.43 fof(f176,plain,(
% 0.16/0.43 ![X0]: (multiply(sk_c5,multiply(sk_c5,X0))=multiply(sk_c4,multiply(sk_c7,X0))|~spl0_5|~spl0_4)),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f160,f159])).
% 0.16/0.43 fof(f360,plain,(
% 0.16/0.43 multiply(sk_c6,sk_c8)=identity|~spl0_7),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f98,f36])).
% 0.16/0.43 fof(f363,plain,(
% 0.16/0.43 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.16/0.43 fof(f364,plain,(
% 0.16/0.43 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f35,f363])).
% 0.16/0.43 fof(f419,plain,(
% 0.16/0.43 sk_c7=multiply(inverse(sk_c4),multiply(sk_c5,sk_c5))|~spl0_5|~spl0_4),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f171,f364])).
% 0.16/0.43 fof(f420,plain,(
% 0.16/0.43 sk_c7=multiply(sk_c8,multiply(sk_c5,sk_c5))|~spl0_6|~spl0_5|~spl0_4),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f94,f419])).
% 0.16/0.43 fof(f421,plain,(
% 0.16/0.43 sk_c7=multiply(sk_c7,sk_c5)|~spl0_6|~spl0_5|~spl0_4),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f160,f420])).
% 0.16/0.43 fof(f428,plain,(
% 0.16/0.43 sk_c8=multiply(inverse(sk_c4),sk_c5)|~spl0_5),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f90,f364])).
% 0.16/0.43 fof(f429,plain,(
% 0.16/0.43 sk_c8=multiply(sk_c8,sk_c5)|~spl0_6|~spl0_5),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f94,f428])).
% 0.16/0.43 fof(f430,plain,(
% 0.16/0.43 sk_c8=sk_c7|~spl0_4|~spl0_6|~spl0_5),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f86,f429])).
% 0.16/0.43 fof(f441,plain,(
% 0.16/0.43 sk_c2=multiply(inverse(sk_c8),sk_c7)|~spl0_8),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f107,f364])).
% 0.16/0.43 fof(f442,plain,(
% 0.16/0.43 sk_c2=multiply(sk_c6,sk_c7)|~spl0_7|~spl0_8),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f98,f441])).
% 0.16/0.43 fof(f452,plain,(
% 0.16/0.43 sk_c8=multiply(inverse(sk_c1),sk_c2)|~spl0_9),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f116,f364])).
% 0.16/0.43 fof(f453,plain,(
% 0.16/0.43 sk_c8=multiply(sk_c8,sk_c2)|~spl0_10|~spl0_9),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f125,f452])).
% 0.16/0.43 fof(f454,plain,(
% 0.16/0.43 sk_c8=sk_c7|~spl0_8|~spl0_10|~spl0_9),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f107,f453])).
% 0.16/0.43 fof(f499,plain,(
% 0.16/0.43 sk_c7=multiply(sk_c3,sk_c7)|~spl0_6|~spl0_5|~spl0_2|~spl0_4),
% 0.16/0.43 inference(backward_demodulation,[status(thm)],[f421,f166])).
% 0.16/0.43 fof(f503,plain,(
% 0.16/0.43 sk_c5=multiply(inverse(sk_c7),sk_c7)|~spl0_6|~spl0_5|~spl0_4),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f421,f364])).
% 0.16/0.43 fof(f504,plain,(
% 0.16/0.43 sk_c5=identity|~spl0_6|~spl0_5|~spl0_4),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f36,f503])).
% 0.16/0.43 fof(f512,plain,(
% 0.16/0.43 multiply(sk_c5,identity)=multiply(sk_c4,sk_c7)|~spl0_6|~spl0_5|~spl0_4),
% 0.16/0.43 inference(backward_demodulation,[status(thm)],[f504,f171])).
% 0.16/0.43 fof(f513,plain,(
% 0.16/0.43 multiply(identity,identity)=multiply(sk_c4,sk_c7)|~spl0_6|~spl0_5|~spl0_4),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f504,f512])).
% 0.16/0.43 fof(f514,plain,(
% 0.16/0.43 identity=multiply(sk_c4,sk_c7)|~spl0_6|~spl0_5|~spl0_4),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f35,f513])).
% 0.16/0.43 fof(f523,plain,(
% 0.16/0.43 ![X0]: (multiply(sk_c5,multiply(identity,X0))=multiply(sk_c4,multiply(sk_c7,X0))|~spl0_6|~spl0_5|~spl0_4)),
% 0.16/0.43 inference(backward_demodulation,[status(thm)],[f504,f176])).
% 0.16/0.43 fof(f524,plain,(
% 0.16/0.43 ![X0]: (multiply(identity,multiply(identity,X0))=multiply(sk_c4,multiply(sk_c7,X0))|~spl0_6|~spl0_5|~spl0_4)),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f504,f523])).
% 0.16/0.43 fof(f525,plain,(
% 0.16/0.43 ![X0]: (multiply(identity,X0)=multiply(sk_c4,multiply(sk_c7,X0))|~spl0_6|~spl0_5|~spl0_4)),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f35,f524])).
% 0.16/0.43 fof(f526,plain,(
% 0.16/0.43 ![X0]: (X0=multiply(sk_c4,multiply(sk_c7,X0))|~spl0_6|~spl0_5|~spl0_4)),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f35,f525])).
% 0.16/0.43 fof(f571,plain,(
% 0.16/0.43 multiply(sk_c7,sk_c7)=sk_c6|~spl0_4|~spl0_6|~spl0_5|~spl0_1),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f430,f74])).
% 0.16/0.43 fof(f591,plain,(
% 0.16/0.43 ~multiply(sk_c7,sk_c6)=sk_c7|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f430,f72])).
% 0.16/0.43 fof(f592,plain,(
% 0.16/0.43 inverse(sk_c3)=sk_c7|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f430,f82])).
% 0.16/0.43 fof(f593,plain,(
% 0.16/0.43 ![X0]: (X0=multiply(sk_c7,multiply(sk_c3,X0))|~spl0_4|~spl0_6|~spl0_5|~spl0_3)),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f592,f364])).
% 0.16/0.43 fof(f594,plain,(
% 0.16/0.43 multiply(sk_c7,sk_c3)=identity|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f592,f36])).
% 0.16/0.43 fof(f661,plain,(
% 0.16/0.43 sk_c7=multiply(sk_c4,sk_c6)|~spl0_4|~spl0_6|~spl0_5|~spl0_1),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f571,f526])).
% 0.16/0.43 fof(f670,plain,(
% 0.16/0.43 sk_c7=multiply(sk_c7,sk_c7)|~spl0_3|~spl0_6|~spl0_5|~spl0_2|~spl0_4),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f499,f593])).
% 0.16/0.43 fof(f671,plain,(
% 0.16/0.43 sk_c7=sk_c6|~spl0_1|~spl0_3|~spl0_6|~spl0_5|~spl0_2|~spl0_4),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f571,f670])).
% 0.16/0.43 fof(f679,plain,(
% 0.16/0.43 sk_c7=multiply(sk_c4,sk_c7)|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5|~spl0_1),
% 0.16/0.43 inference(backward_demodulation,[status(thm)],[f671,f661])).
% 0.16/0.43 fof(f680,plain,(
% 0.16/0.43 sk_c7=identity|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5|~spl0_1),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f514,f679])).
% 0.16/0.43 fof(f686,plain,(
% 0.16/0.43 ~multiply(sk_c7,sk_c7)=sk_c7|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.16/0.43 inference(backward_demodulation,[status(thm)],[f671,f591])).
% 0.16/0.43 fof(f690,plain,(
% 0.16/0.43 identity=sk_c6|~spl0_1|~spl0_3|~spl0_6|~spl0_5|~spl0_2|~spl0_4),
% 0.16/0.43 inference(backward_demodulation,[status(thm)],[f680,f671])).
% 0.16/0.43 fof(f699,plain,(
% 0.16/0.43 multiply(identity,sk_c3)=identity|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.16/0.43 inference(backward_demodulation,[status(thm)],[f680,f594])).
% 0.16/0.43 fof(f700,plain,(
% 0.16/0.43 sk_c3=identity|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f35,f699])).
% 0.16/0.43 fof(f705,plain,(
% 0.16/0.43 inverse(sk_c3)=identity|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.16/0.43 inference(backward_demodulation,[status(thm)],[f680,f592])).
% 0.16/0.43 fof(f716,plain,(
% 0.16/0.43 sk_c8=identity|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5),
% 0.16/0.43 inference(backward_demodulation,[status(thm)],[f680,f430])).
% 0.16/0.43 fof(f722,plain,(
% 0.16/0.43 inverse(identity)=identity|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|~spl0_3),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f700,f705])).
% 0.16/0.43 fof(f732,plain,(
% 0.16/0.43 ~multiply(identity,sk_c7)=sk_c7|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f680,f686])).
% 0.16/0.43 fof(f733,plain,(
% 0.16/0.43 ~sk_c7=sk_c7|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f35,f732])).
% 0.16/0.43 fof(f734,plain,(
% 0.16/0.43 ~identity=sk_c7|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f680,f733])).
% 0.16/0.43 fof(f735,plain,(
% 0.16/0.43 ~identity=identity|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f680,f734])).
% 0.16/0.43 fof(f736,plain,(
% 0.16/0.43 $false|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.16/0.43 inference(trivial_equality_resolution,[status(esa)],[f735])).
% 0.16/0.43 fof(f737,plain,(
% 0.16/0.43 ~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6|~spl0_5|spl0_0),
% 0.16/0.43 inference(contradiction_clause,[status(thm)],[f736])).
% 0.16/0.43 fof(f752,plain,(
% 0.16/0.43 multiply(sk_c6,sk_c7)=identity|~spl0_8|~spl0_10|~spl0_9|~spl0_7),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f454,f360])).
% 0.16/0.43 fof(f753,plain,(
% 0.16/0.43 sk_c2=identity|~spl0_8|~spl0_10|~spl0_9|~spl0_7),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f442,f752])).
% 0.16/0.43 fof(f755,plain,(
% 0.16/0.43 ~multiply(sk_c7,sk_c7)=sk_c6|~spl0_8|~spl0_10|~spl0_9|spl0_1),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f454,f75])).
% 0.16/0.43 fof(f757,plain,(
% 0.16/0.43 multiply(sk_c7,sk_c6)=sk_c7|~spl0_8|~spl0_10|~spl0_9|~spl0_0),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f454,f71])).
% 0.16/0.43 fof(f758,plain,(
% 0.16/0.43 sk_c6=multiply(inverse(sk_c7),sk_c7)|~spl0_8|~spl0_10|~spl0_9|~spl0_0),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f757,f364])).
% 0.16/0.43 fof(f759,plain,(
% 0.16/0.43 sk_c6=identity|~spl0_8|~spl0_10|~spl0_9|~spl0_0),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f36,f758])).
% 0.16/0.43 fof(f762,plain,(
% 0.16/0.43 ~multiply(sk_c7,sk_c7)=identity|~spl0_0|~spl0_8|~spl0_10|~spl0_9|spl0_1),
% 0.16/0.43 inference(backward_demodulation,[status(thm)],[f759,f755])).
% 0.16/0.43 fof(f779,plain,(
% 0.16/0.43 inverse(sk_c7)=sk_c6|~spl0_8|~spl0_10|~spl0_9|~spl0_7),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f454,f98])).
% 0.16/0.43 fof(f780,plain,(
% 0.16/0.43 inverse(sk_c7)=identity|~spl0_0|~spl0_8|~spl0_10|~spl0_9|~spl0_7),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f759,f779])).
% 0.16/0.43 fof(f783,plain,(
% 0.16/0.43 multiply(identity,sk_c7)=identity|~spl0_0|~spl0_8|~spl0_10|~spl0_9|~spl0_7),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f780,f36])).
% 0.16/0.43 fof(f784,plain,(
% 0.16/0.43 sk_c7=identity|~spl0_0|~spl0_8|~spl0_10|~spl0_9|~spl0_7),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f35,f783])).
% 0.16/0.43 fof(f834,plain,(
% 0.16/0.43 ~multiply(sk_c7,identity)=identity|~spl0_7|~spl0_0|~spl0_8|~spl0_10|~spl0_9|spl0_1),
% 0.16/0.43 inference(backward_demodulation,[status(thm)],[f784,f762])).
% 0.16/0.43 fof(f835,plain,(
% 0.16/0.43 ~multiply(identity,identity)=identity|~spl0_7|~spl0_0|~spl0_8|~spl0_10|~spl0_9|spl0_1),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f784,f834])).
% 0.16/0.43 fof(f836,plain,(
% 0.16/0.43 ~identity=identity|~spl0_7|~spl0_0|~spl0_8|~spl0_10|~spl0_9|spl0_1),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f35,f835])).
% 0.16/0.43 fof(f837,plain,(
% 0.16/0.43 $false|~spl0_7|~spl0_0|~spl0_8|~spl0_10|~spl0_9|spl0_1),
% 0.16/0.43 inference(trivial_equality_resolution,[status(esa)],[f836])).
% 0.16/0.43 fof(f838,plain,(
% 0.16/0.43 ~spl0_7|~spl0_0|~spl0_8|~spl0_10|~spl0_9|spl0_1),
% 0.16/0.43 inference(contradiction_clause,[status(thm)],[f837])).
% 0.16/0.43 fof(f851,plain,(
% 0.16/0.43 spl0_14 <=> sk_c2=sk_c7),
% 0.16/0.43 introduced(split_symbol_definition)).
% 0.16/0.43 fof(f853,plain,(
% 0.16/0.43 ~sk_c2=sk_c7|spl0_14),
% 0.16/0.43 inference(component_clause,[status(thm)],[f851])).
% 0.16/0.43 fof(f854,plain,(
% 0.16/0.43 ~sk_c2=sk_c7|~inverse(sk_c1)=sk_c8|~spl0_12|~spl0_9),
% 0.16/0.43 inference(paramodulation,[status(thm)],[f116,f137])).
% 0.16/0.43 fof(f855,plain,(
% 0.16/0.43 ~spl0_14|~spl0_10|~spl0_12|~spl0_9),
% 0.16/0.43 inference(split_clause,[status(thm)],[f854,f851,f124,f136,f115])).
% 0.16/0.43 fof(f856,plain,(
% 0.16/0.43 ~identity=sk_c7|~spl0_8|~spl0_10|~spl0_9|~spl0_7|spl0_14),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f753,f853])).
% 0.16/0.43 fof(f857,plain,(
% 0.16/0.43 ~identity=identity|~spl0_0|~spl0_8|~spl0_10|~spl0_9|~spl0_7|spl0_14),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f784,f856])).
% 0.16/0.43 fof(f858,plain,(
% 0.16/0.43 $false|~spl0_0|~spl0_8|~spl0_10|~spl0_9|~spl0_7|spl0_14),
% 0.16/0.43 inference(trivial_equality_resolution,[status(esa)],[f857])).
% 0.16/0.43 fof(f859,plain,(
% 0.16/0.43 ~spl0_0|~spl0_8|~spl0_10|~spl0_9|~spl0_7|spl0_14),
% 0.16/0.43 inference(contradiction_clause,[status(thm)],[f858])).
% 0.16/0.43 fof(f881,plain,(
% 0.16/0.43 ~inverse(identity)=sk_c6|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_7),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f716,f99])).
% 0.16/0.43 fof(f882,plain,(
% 0.16/0.43 ~identity=sk_c6|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_7),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f722,f881])).
% 0.16/0.43 fof(f883,plain,(
% 0.16/0.43 ~identity=identity|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_7),
% 0.16/0.43 inference(forward_demodulation,[status(thm)],[f690,f882])).
% 0.16/0.43 fof(f884,plain,(
% 0.16/0.43 $false|~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_7),
% 0.16/0.43 inference(trivial_equality_resolution,[status(esa)],[f883])).
% 0.16/0.43 fof(f885,plain,(
% 0.16/0.43 ~spl0_3|~spl0_2|~spl0_1|~spl0_4|~spl0_6|~spl0_5|spl0_7),
% 0.16/0.43 inference(contradiction_clause,[status(thm)],[f884])).
% 0.16/0.43 fof(f886,plain,(
% 0.16/0.43 $false),
% 0.16/0.43 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,f139,f143,f151,f153,f737,f838,f855,f859,f885])).
% 0.16/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.43 % Elapsed time: 0.107563 seconds
% 0.16/0.43 % CPU time: 0.727716 seconds
% 0.16/0.43 % Total memory used: 76.656 MB
% 0.16/0.43 % Net memory used: 75.806 MB
%------------------------------------------------------------------------------