TSTP Solution File: GRP233-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP233-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:19:49 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
% 0.00/0.09 % Problem : GRP233-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n006.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue Apr 30 00:22:20 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.14/0.30 % 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 ( inverse(sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f5,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f7,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f8,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 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_c1,sk_c8) = sk_c7| 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 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f11,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = 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 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f13,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 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_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 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_c1) = sk_c8| multiply(sk_c4,sk_c7) = 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 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f17,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f18,negated_conjecture,(
% 0.14/0.40 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = 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_c8,sk_c3) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 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_c8,sk_c3) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 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_c8,sk_c3) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f22,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c5,sk_c8) = 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 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f24,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c4) = 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 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f26,negated_conjecture,(
% 0.14/0.40 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f27,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 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_c8) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f29,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f30,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = 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 ( inverse(sk_c2) = sk_c8| multiply(sk_c8,sk_c6) = 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 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f33,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = 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 (![X4,X5,X6,X1,X2,X3]: (( inverse(sk_c8) != sk_c7| multiply(X4,sk_c8) != sk_c7| inverse(X4) != sk_c8| multiply(sk_c8,X5) != sk_c7| multiply(X6,sk_c8) != X5| inverse(X6) != sk_c8| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X3,sk_c8) != X2| inverse(X3) != 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 inverse(sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.41 fof(f39,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.41 fof(f40,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.41 fof(f41,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f7])).
% 0.14/0.41 fof(f42,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.41 fof(f43,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c8)=sk_c7|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 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.41 fof(f45,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f11])).
% 0.14/0.41 fof(f46,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.41 fof(f47,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.41 fof(f48,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f14])).
% 0.14/0.41 fof(f49,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f15])).
% 0.14/0.41 fof(f50,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f16])).
% 0.14/0.41 fof(f51,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f17])).
% 0.14/0.41 fof(f52,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|inverse(sk_c5)=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_c8,sk_c3)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f19])).
% 0.14/0.41 fof(f54,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f20])).
% 0.14/0.41 fof(f55,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f21])).
% 0.14/0.41 fof(f56,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f22])).
% 0.14/0.41 fof(f57,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f23])).
% 0.14/0.41 fof(f58,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f24])).
% 0.14/0.41 fof(f59,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f25])).
% 0.14/0.41 fof(f60,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c8,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f26])).
% 0.14/0.41 fof(f61,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c5,sk_c8)=sk_c6),
% 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_c8)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f28])).
% 0.14/0.41 fof(f63,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f29])).
% 0.14/0.41 fof(f64,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f30])).
% 0.14/0.41 fof(f65,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f31])).
% 0.14/0.41 fof(f66,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f32])).
% 0.14/0.41 fof(f67,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f33])).
% 0.14/0.41 fof(f68,plain,(
% 0.14/0.41 ![X3]: ((![X2]: (((![X1]: (((![X6]: ((![X5]: (((![X4]: ((~inverse(sk_c8)=sk_c7|~multiply(X4,sk_c8)=sk_c7)|~inverse(X4)=sk_c8))|~multiply(sk_c8,X5)=sk_c7)|~multiply(X6,sk_c8)=X5))|~inverse(X6)=sk_c8))|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X3,sk_c8)=X2))|~inverse(X3)=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,X5]: (~inverse(sk_c8)=sk_c7|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=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 <=> inverse(sk_c8)=sk_c7),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f71,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c7|~spl0_0),
% 0.14/0.41 inference(component_clause,[status(thm)],[f70])).
% 0.14/0.41 fof(f72,plain,(
% 0.14/0.41 ~inverse(sk_c8)=sk_c7|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 <=> inverse(sk_c4)=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f74,plain,(
% 0.14/0.41 inverse(sk_c4)=sk_c8|~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_c4,sk_c7)=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f78,plain,(
% 0.14/0.41 multiply(sk_c4,sk_c7)=sk_c8|~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 <=> multiply(sk_c8,sk_c6)=sk_c7),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f82,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c6)=sk_c7|~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_c5,sk_c8)=sk_c6),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f86,plain,(
% 0.14/0.41 multiply(sk_c5,sk_c8)=sk_c6|~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 <=> inverse(sk_c5)=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f90,plain,(
% 0.14/0.41 inverse(sk_c5)=sk_c8|~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 <=> multiply(sk_c1,sk_c8)=sk_c7),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f94,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c8)=sk_c7|~spl0_6),
% 0.14/0.41 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.41 fof(f96,plain,(
% 0.14/0.41 spl0_6|spl0_1),
% 0.14/0.41 inference(split_clause,[status(thm)],[f43,f93,f73])).
% 0.14/0.41 fof(f97,plain,(
% 0.14/0.41 spl0_6|spl0_2),
% 0.14/0.41 inference(split_clause,[status(thm)],[f44,f93,f77])).
% 0.14/0.41 fof(f98,plain,(
% 0.14/0.41 spl0_6|spl0_3),
% 0.14/0.41 inference(split_clause,[status(thm)],[f45,f93,f81])).
% 0.14/0.41 fof(f99,plain,(
% 0.14/0.41 spl0_6|spl0_4),
% 0.14/0.41 inference(split_clause,[status(thm)],[f46,f93,f85])).
% 0.14/0.41 fof(f100,plain,(
% 0.14/0.41 spl0_6|spl0_5),
% 0.14/0.41 inference(split_clause,[status(thm)],[f47,f93,f89])).
% 0.14/0.41 fof(f101,plain,(
% 0.14/0.41 spl0_7 <=> inverse(sk_c1)=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f102,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|~spl0_7),
% 0.14/0.41 inference(component_clause,[status(thm)],[f101])).
% 0.14/0.41 fof(f104,plain,(
% 0.14/0.41 spl0_7|spl0_1),
% 0.14/0.41 inference(split_clause,[status(thm)],[f48,f101,f73])).
% 0.14/0.41 fof(f105,plain,(
% 0.14/0.41 spl0_7|spl0_2),
% 0.14/0.41 inference(split_clause,[status(thm)],[f49,f101,f77])).
% 0.14/0.41 fof(f106,plain,(
% 0.14/0.41 spl0_7|spl0_3),
% 0.14/0.41 inference(split_clause,[status(thm)],[f50,f101,f81])).
% 0.14/0.41 fof(f107,plain,(
% 0.14/0.41 spl0_7|spl0_4),
% 0.14/0.41 inference(split_clause,[status(thm)],[f51,f101,f85])).
% 0.14/0.41 fof(f108,plain,(
% 0.14/0.41 spl0_7|spl0_5),
% 0.14/0.41 inference(split_clause,[status(thm)],[f52,f101,f89])).
% 0.14/0.41 fof(f109,plain,(
% 0.14/0.41 spl0_8 <=> multiply(sk_c8,sk_c3)=sk_c7),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f110,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c3)=sk_c7|~spl0_8),
% 0.14/0.41 inference(component_clause,[status(thm)],[f109])).
% 0.14/0.41 fof(f112,plain,(
% 0.14/0.41 spl0_8|spl0_1),
% 0.14/0.41 inference(split_clause,[status(thm)],[f53,f109,f73])).
% 0.14/0.41 fof(f113,plain,(
% 0.14/0.41 spl0_8|spl0_2),
% 0.14/0.41 inference(split_clause,[status(thm)],[f54,f109,f77])).
% 0.14/0.41 fof(f114,plain,(
% 0.14/0.41 spl0_8|spl0_3),
% 0.14/0.41 inference(split_clause,[status(thm)],[f55,f109,f81])).
% 0.14/0.41 fof(f115,plain,(
% 0.14/0.41 spl0_8|spl0_4),
% 0.14/0.41 inference(split_clause,[status(thm)],[f56,f109,f85])).
% 0.14/0.41 fof(f116,plain,(
% 0.14/0.41 spl0_8|spl0_5),
% 0.14/0.41 inference(split_clause,[status(thm)],[f57,f109,f89])).
% 0.14/0.41 fof(f117,plain,(
% 0.14/0.41 spl0_9 <=> multiply(sk_c2,sk_c8)=sk_c3),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f118,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c3|~spl0_9),
% 0.14/0.41 inference(component_clause,[status(thm)],[f117])).
% 0.14/0.41 fof(f120,plain,(
% 0.14/0.41 spl0_9|spl0_1),
% 0.14/0.41 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.14/0.41 fof(f121,plain,(
% 0.14/0.41 spl0_9|spl0_2),
% 0.14/0.41 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.14/0.41 fof(f122,plain,(
% 0.14/0.41 spl0_9|spl0_3),
% 0.14/0.41 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.14/0.41 fof(f123,plain,(
% 0.14/0.41 spl0_9|spl0_4),
% 0.14/0.41 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.14/0.41 fof(f124,plain,(
% 0.14/0.41 spl0_9|spl0_5),
% 0.14/0.41 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.14/0.41 fof(f125,plain,(
% 0.14/0.41 spl0_10 <=> inverse(sk_c2)=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f126,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c8|~spl0_10),
% 0.14/0.41 inference(component_clause,[status(thm)],[f125])).
% 0.14/0.41 fof(f128,plain,(
% 0.14/0.41 spl0_10|spl0_1),
% 0.14/0.41 inference(split_clause,[status(thm)],[f63,f125,f73])).
% 0.14/0.41 fof(f129,plain,(
% 0.14/0.41 spl0_10|spl0_2),
% 0.14/0.41 inference(split_clause,[status(thm)],[f64,f125,f77])).
% 0.14/0.41 fof(f130,plain,(
% 0.14/0.41 spl0_10|spl0_3),
% 0.14/0.41 inference(split_clause,[status(thm)],[f65,f125,f81])).
% 0.14/0.41 fof(f131,plain,(
% 0.14/0.41 spl0_10|spl0_4),
% 0.14/0.41 inference(split_clause,[status(thm)],[f66,f125,f85])).
% 0.14/0.41 fof(f132,plain,(
% 0.14/0.41 spl0_10|spl0_5),
% 0.14/0.41 inference(split_clause,[status(thm)],[f67,f125,f89])).
% 0.14/0.41 fof(f133,plain,(
% 0.14/0.41 spl0_11 <=> ~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f134,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=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(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f137,plain,(
% 0.14/0.41 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=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 <=> ~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f140,plain,(
% 0.14/0.41 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=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_11|spl0_12|spl0_13),
% 0.14/0.41 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f139])).
% 0.14/0.41 fof(f145,plain,(
% 0.14/0.41 ~multiply(sk_c4,sk_c7)=sk_c8|~spl0_13|~spl0_1),
% 0.14/0.41 inference(resolution,[status(thm)],[f140,f74])).
% 0.14/0.41 fof(f146,plain,(
% 0.14/0.41 ~sk_c8=sk_c8|~spl0_2|~spl0_13|~spl0_1),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f78,f145])).
% 0.14/0.41 fof(f147,plain,(
% 0.14/0.41 $false|~spl0_2|~spl0_13|~spl0_1),
% 0.14/0.41 inference(trivial_equality_resolution,[status(esa)],[f146])).
% 0.14/0.41 fof(f148,plain,(
% 0.14/0.41 ~spl0_2|~spl0_13|~spl0_1),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f147])).
% 0.14/0.41 fof(f149,plain,(
% 0.14/0.41 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_12)),
% 0.14/0.41 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.14/0.41 fof(f155,plain,(
% 0.14/0.41 ~multiply(sk_c8,sk_c3)=sk_c7|~inverse(sk_c2)=sk_c8|~spl0_12|~spl0_9),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f118,f149])).
% 0.14/0.41 fof(f156,plain,(
% 0.14/0.41 ~spl0_8|~spl0_10|~spl0_12|~spl0_9),
% 0.14/0.41 inference(split_clause,[status(thm)],[f155,f109,f125,f136,f117])).
% 0.14/0.41 fof(f157,plain,(
% 0.14/0.41 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c8|~spl0_12|~spl0_4),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f86,f149])).
% 0.14/0.41 fof(f158,plain,(
% 0.14/0.41 ~spl0_3|~spl0_5|~spl0_12|~spl0_4),
% 0.14/0.41 inference(split_clause,[status(thm)],[f157,f81,f89,f136,f85])).
% 0.14/0.41 fof(f159,plain,(
% 0.14/0.41 ~inverse(sk_c1)=sk_c8|~spl0_11|~spl0_6),
% 0.14/0.41 inference(resolution,[status(thm)],[f134,f94])).
% 0.14/0.41 fof(f160,plain,(
% 0.14/0.41 ~sk_c8=sk_c8|~spl0_7|~spl0_11|~spl0_6),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f102,f159])).
% 0.14/0.41 fof(f161,plain,(
% 0.14/0.41 $false|~spl0_7|~spl0_11|~spl0_6),
% 0.14/0.41 inference(trivial_equality_resolution,[status(esa)],[f160])).
% 0.14/0.41 fof(f162,plain,(
% 0.14/0.41 ~spl0_7|~spl0_11|~spl0_6),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f161])).
% 0.14/0.41 fof(f164,plain,(
% 0.14/0.41 spl0_15 <=> sk_c8=sk_c8),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f166,plain,(
% 0.14/0.41 ~sk_c8=sk_c8|spl0_15),
% 0.14/0.41 inference(component_clause,[status(thm)],[f164])).
% 0.14/0.41 fof(f199,plain,(
% 0.14/0.41 $false|spl0_15),
% 0.14/0.41 inference(trivial_equality_resolution,[status(esa)],[f166])).
% 0.14/0.41 fof(f200,plain,(
% 0.14/0.41 spl0_15),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f199])).
% 0.14/0.41 fof(f334,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c5)=identity|~spl0_5),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f90,f36])).
% 0.14/0.41 fof(f335,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(f336,plain,(
% 0.14/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f335])).
% 0.14/0.41 fof(f367,plain,(
% 0.14/0.41 sk_c7=multiply(inverse(sk_c4),sk_c8)|~spl0_2),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f78,f336])).
% 0.14/0.41 fof(f368,plain,(
% 0.14/0.41 sk_c7=multiply(sk_c8,sk_c8)|~spl0_1|~spl0_2),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f74,f367])).
% 0.14/0.41 fof(f376,plain,(
% 0.14/0.41 sk_c8=multiply(inverse(sk_c2),sk_c3)|~spl0_9),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f118,f336])).
% 0.14/0.41 fof(f392,plain,(
% 0.14/0.41 sk_c8=multiply(inverse(sk_c5),sk_c6)|~spl0_4),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f86,f336])).
% 0.14/0.41 fof(f393,plain,(
% 0.14/0.41 sk_c8=multiply(sk_c8,sk_c6)|~spl0_5|~spl0_4),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f90,f392])).
% 0.14/0.41 fof(f394,plain,(
% 0.14/0.41 sk_c8=sk_c7|~spl0_3|~spl0_5|~spl0_4),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f82,f393])).
% 0.14/0.41 fof(f409,plain,(
% 0.14/0.41 sk_c8=multiply(inverse(sk_c8),sk_c7)|~spl0_1|~spl0_2),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f368,f336])).
% 0.14/0.41 fof(f432,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c8)=identity|~spl0_0),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f71,f36])).
% 0.14/0.41 fof(f556,plain,(
% 0.14/0.41 multiply(sk_c4,sk_c8)=sk_c8|~spl0_3|~spl0_5|~spl0_4|~spl0_2),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f394,f78])).
% 0.14/0.41 fof(f639,plain,(
% 0.14/0.41 sk_c8=multiply(inverse(sk_c1),sk_c7)|~spl0_6),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f94,f336])).
% 0.14/0.41 fof(f640,plain,(
% 0.14/0.41 sk_c8=multiply(sk_c8,sk_c7)|~spl0_7|~spl0_6),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f102,f639])).
% 0.14/0.41 fof(f656,plain,(
% 0.14/0.41 sk_c8=multiply(sk_c8,sk_c3)|~spl0_10|~spl0_9),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f126,f376])).
% 0.14/0.41 fof(f657,plain,(
% 0.14/0.41 sk_c8=sk_c7|~spl0_8|~spl0_10|~spl0_9),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f110,f656])).
% 0.14/0.41 fof(f658,plain,(
% 0.14/0.41 sk_c8=multiply(sk_c8,sk_c8)|~spl0_8|~spl0_10|~spl0_9|~spl0_7|~spl0_6),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f657,f640])).
% 0.14/0.41 fof(f662,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c8)=identity|~spl0_8|~spl0_10|~spl0_9|~spl0_0),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f657,f432])).
% 0.14/0.41 fof(f664,plain,(
% 0.14/0.41 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c8)=sk_c8|~spl0_8|~spl0_10|~spl0_9|~spl0_13)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f657,f140])).
% 0.14/0.41 fof(f666,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c8|~spl0_8|~spl0_10|~spl0_9|~spl0_0),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f657,f71])).
% 0.14/0.41 fof(f678,plain,(
% 0.14/0.41 sk_c8=identity|~spl0_7|~spl0_6|~spl0_8|~spl0_10|~spl0_9|~spl0_0),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f658,f662])).
% 0.14/0.41 fof(f692,plain,(
% 0.14/0.41 inverse(sk_c1)=identity|~spl0_6|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f678,f102])).
% 0.14/0.41 fof(f770,plain,(
% 0.14/0.41 sk_c7=sk_c8|~spl0_8|~spl0_10|~spl0_9|~spl0_0),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f71,f666])).
% 0.14/0.41 fof(f771,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c8|~spl0_8|~spl0_10|~spl0_9|~spl0_0),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f770,f71])).
% 0.14/0.41 fof(f786,plain,(
% 0.14/0.41 spl0_27 <=> sk_c7=sk_c7),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f788,plain,(
% 0.14/0.41 ~sk_c7=sk_c7|spl0_27),
% 0.14/0.41 inference(component_clause,[status(thm)],[f786])).
% 0.14/0.41 fof(f791,plain,(
% 0.14/0.41 $false|spl0_27),
% 0.14/0.41 inference(trivial_equality_resolution,[status(esa)],[f788])).
% 0.14/0.41 fof(f792,plain,(
% 0.14/0.41 spl0_27),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f791])).
% 0.14/0.41 fof(f817,plain,(
% 0.14/0.41 identity=sk_c8|~spl0_6|~spl0_8|~spl0_10|~spl0_9|~spl0_0|~spl0_7),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f692,f102])).
% 0.14/0.41 fof(f820,plain,(
% 0.14/0.41 inverse(identity)=sk_c8|~spl0_6|~spl0_7|~spl0_8|~spl0_10|~spl0_9|~spl0_0),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f817,f771])).
% 0.14/0.41 fof(f821,plain,(
% 0.14/0.41 inverse(identity)=identity|~spl0_6|~spl0_7|~spl0_8|~spl0_10|~spl0_9|~spl0_0),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f817,f820])).
% 0.14/0.41 fof(f841,plain,(
% 0.14/0.41 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c8)=sk_c8|~spl0_6|~spl0_0|~spl0_7|~spl0_8|~spl0_10|~spl0_9|~spl0_13)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f817,f664])).
% 0.14/0.41 fof(f842,plain,(
% 0.14/0.41 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c8|~spl0_6|~spl0_0|~spl0_7|~spl0_8|~spl0_10|~spl0_9|~spl0_13)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f817,f841])).
% 0.14/0.41 fof(f843,plain,(
% 0.14/0.41 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~spl0_6|~spl0_0|~spl0_7|~spl0_8|~spl0_10|~spl0_9|~spl0_13)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f817,f842])).
% 0.14/0.41 fof(f844,plain,(
% 0.14/0.41 ~multiply(identity,identity)=identity|~spl0_13|~spl0_6|~spl0_7|~spl0_8|~spl0_10|~spl0_9|~spl0_0),
% 0.14/0.41 inference(resolution,[status(thm)],[f843,f821])).
% 0.14/0.41 fof(f845,plain,(
% 0.14/0.41 ~identity=identity|~spl0_13|~spl0_6|~spl0_7|~spl0_8|~spl0_10|~spl0_9|~spl0_0),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f844])).
% 0.14/0.41 fof(f846,plain,(
% 0.14/0.41 $false|~spl0_13|~spl0_6|~spl0_7|~spl0_8|~spl0_10|~spl0_9|~spl0_0),
% 0.14/0.41 inference(trivial_equality_resolution,[status(esa)],[f845])).
% 0.14/0.41 fof(f847,plain,(
% 0.14/0.41 ~spl0_13|~spl0_6|~spl0_7|~spl0_8|~spl0_10|~spl0_9|~spl0_0),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f846])).
% 0.14/0.41 fof(f869,plain,(
% 0.14/0.41 sk_c8=sk_c7|~spl0_3|~spl0_5|~spl0_4),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f82,f393])).
% 0.14/0.41 fof(f873,plain,(
% 0.14/0.41 ~inverse(sk_c8)=sk_c8|~spl0_3|~spl0_5|~spl0_4|spl0_0),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f869,f72])).
% 0.14/0.41 fof(f881,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,sk_c8)=sk_c8|~inverse(X0)=sk_c8|~spl0_3|~spl0_5|~spl0_4|~spl0_11)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f869,f134])).
% 0.14/0.41 fof(f884,plain,(
% 0.14/0.41 ~multiply(sk_c4,sk_c8)=sk_c8|~spl0_3|~spl0_5|~spl0_4|~spl0_11|~spl0_1),
% 0.14/0.41 inference(resolution,[status(thm)],[f881,f74])).
% 0.14/0.41 fof(f885,plain,(
% 0.14/0.41 ~sk_c8=sk_c8|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_11|~spl0_1),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f556,f884])).
% 0.14/0.41 fof(f886,plain,(
% 0.14/0.41 $false|~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_11|~spl0_1),
% 0.14/0.41 inference(trivial_equality_resolution,[status(esa)],[f885])).
% 0.14/0.41 fof(f887,plain,(
% 0.14/0.41 ~spl0_2|~spl0_3|~spl0_5|~spl0_4|~spl0_11|~spl0_1),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f886])).
% 0.14/0.41 fof(f894,plain,(
% 0.14/0.41 sk_c8=multiply(inverse(sk_c8),sk_c8)|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_2),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f869,f409])).
% 0.14/0.41 fof(f895,plain,(
% 0.14/0.41 sk_c8=identity|~spl0_3|~spl0_5|~spl0_4|~spl0_1|~spl0_2),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f36,f894])).
% 0.14/0.41 fof(f904,plain,(
% 0.14/0.41 multiply(identity,sk_c5)=identity|~spl0_3|~spl0_4|~spl0_1|~spl0_2|~spl0_5),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f895,f334])).
% 0.14/0.41 fof(f905,plain,(
% 0.14/0.41 sk_c5=identity|~spl0_3|~spl0_4|~spl0_1|~spl0_2|~spl0_5),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f35,f904])).
% 0.14/0.41 fof(f906,plain,(
% 0.14/0.41 ~inverse(sk_c8)=identity|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_4|spl0_0),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f895,f873])).
% 0.14/0.41 fof(f907,plain,(
% 0.14/0.41 ~inverse(identity)=identity|~spl0_1|~spl0_2|~spl0_3|~spl0_5|~spl0_4|spl0_0),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f895,f906])).
% 0.14/0.41 fof(f914,plain,(
% 0.14/0.41 inverse(sk_c5)=identity|~spl0_3|~spl0_4|~spl0_1|~spl0_2|~spl0_5),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f895,f90])).
% 0.14/0.41 fof(f985,plain,(
% 0.14/0.41 inverse(identity)=identity|~spl0_3|~spl0_4|~spl0_1|~spl0_2|~spl0_5),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f905,f914])).
% 0.14/0.41 fof(f986,plain,(
% 0.14/0.41 $false|spl0_0|~spl0_3|~spl0_4|~spl0_1|~spl0_2|~spl0_5),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f985,f907])).
% 0.14/0.41 fof(f987,plain,(
% 0.14/0.41 spl0_0|~spl0_3|~spl0_4|~spl0_1|~spl0_2|~spl0_5),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f986])).
% 0.14/0.41 fof(f988,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(sat_refutation,[status(thm)],[f76,f80,f84,f88,f92,f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f112,f113,f114,f115,f116,f120,f121,f122,f123,f124,f128,f129,f130,f131,f132,f142,f148,f156,f158,f162,f200,f792,f847,f887,f987])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.117804 seconds
% 0.14/0.41 % CPU time: 0.834719 seconds
% 0.14/0.41 % Total memory used: 77.963 MB
% 0.14/0.41 % Net memory used: 77.044 MB
%------------------------------------------------------------------------------