TSTP Solution File: GRP385-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP385-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:20:16 EDT 2024
% Result : Unsatisfiable 0.16s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP385-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n022.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Apr 30 00:25:28 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.6.0
% 0.16/0.45 % Refutation found
% 0.16/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.45 fof(f1,axiom,(
% 0.16/0.45 (![X]: (multiply(identity,X) = X ))),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f2,axiom,(
% 0.16/0.45 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f3,axiom,(
% 0.16/0.45 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f4,negated_conjecture,(
% 0.16/0.45 inverse(sk_c10) = sk_c9 ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f11,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c9,sk_c8) = sk_c10| inverse(sk_c7) = sk_c10 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f12,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c9,sk_c8) = sk_c10| multiply(sk_c7,sk_c8) = sk_c10 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f13,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c10,sk_c8) = sk_c9| multiply(sk_c10,sk_c4) = sk_c9 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f14,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c10,sk_c8) = sk_c9| multiply(sk_c3,sk_c10) = sk_c4 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f15,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c10,sk_c8) = sk_c9| inverse(sk_c3) = sk_c10 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f16,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c10,sk_c8) = sk_c9| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f18,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c10,sk_c8) = sk_c9| multiply(sk_c6,sk_c9) = sk_c8 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f19,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c10,sk_c8) = sk_c9| inverse(sk_c7) = sk_c10 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f20,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c10,sk_c8) = sk_c9| multiply(sk_c7,sk_c8) = sk_c10 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f21,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c10,sk_c2) = sk_c9| multiply(sk_c10,sk_c4) = sk_c9 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f22,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c10,sk_c2) = sk_c9| multiply(sk_c3,sk_c10) = sk_c4 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f23,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c10,sk_c2) = sk_c9| inverse(sk_c3) = sk_c10 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f24,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c10,sk_c2) = sk_c9| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f25,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c10,sk_c2) = sk_c9| inverse(sk_c5) = sk_c6 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f26,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c10,sk_c2) = sk_c9| multiply(sk_c6,sk_c9) = sk_c8 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f27,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c10,sk_c2) = sk_c9| inverse(sk_c7) = sk_c10 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f28,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c10,sk_c2) = sk_c9| multiply(sk_c7,sk_c8) = sk_c10 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f29,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c1,sk_c10) = sk_c2| multiply(sk_c10,sk_c4) = sk_c9 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f30,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c1,sk_c10) = sk_c2| multiply(sk_c3,sk_c10) = sk_c4 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f31,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c1,sk_c10) = sk_c2| inverse(sk_c3) = sk_c10 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f32,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c1,sk_c10) = sk_c2| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.16/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.45 fof(f33,negated_conjecture,(
% 0.16/0.45 ( multiply(sk_c1,sk_c10) = sk_c2| inverse(sk_c5) = sk_c6 ) ),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f34,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c1,sk_c10) = sk_c2| multiply(sk_c6,sk_c9) = sk_c8 ) ),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f35,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c1,sk_c10) = sk_c2| inverse(sk_c7) = sk_c10 ) ),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f36,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c1,sk_c10) = sk_c2| multiply(sk_c7,sk_c8) = sk_c10 ) ),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f37,negated_conjecture,(
% 0.16/0.46 ( inverse(sk_c1) = sk_c10| multiply(sk_c10,sk_c4) = sk_c9 ) ),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f38,negated_conjecture,(
% 0.16/0.46 ( inverse(sk_c1) = sk_c10| multiply(sk_c3,sk_c10) = sk_c4 ) ),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f39,negated_conjecture,(
% 0.16/0.46 ( inverse(sk_c1) = sk_c10| inverse(sk_c3) = sk_c10 ) ),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f40,negated_conjecture,(
% 0.16/0.46 ( inverse(sk_c1) = sk_c10| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f41,negated_conjecture,(
% 0.16/0.46 ( inverse(sk_c1) = sk_c10| inverse(sk_c5) = sk_c6 ) ),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f42,negated_conjecture,(
% 0.16/0.46 ( inverse(sk_c1) = sk_c10| multiply(sk_c6,sk_c9) = sk_c8 ) ),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f43,negated_conjecture,(
% 0.16/0.46 ( inverse(sk_c1) = sk_c10| inverse(sk_c7) = sk_c10 ) ),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f44,negated_conjecture,(
% 0.16/0.46 ( inverse(sk_c1) = sk_c10| multiply(sk_c7,sk_c8) = sk_c10 ) ),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f45,negated_conjecture,(
% 0.16/0.46 (![X3,X4,X1,X2,X5,X6,X7]: (( inverse(sk_c10) != sk_c9| multiply(sk_c9,sk_c8) != sk_c10| multiply(sk_c10,sk_c8) != sk_c9| multiply(sk_c10,X3) != sk_c9| multiply(X4,sk_c10) != X3| inverse(X4) != sk_c10| multiply(sk_c10,X1) != sk_c9| multiply(X2,sk_c10) != X1| inverse(X2) != sk_c10| multiply(X5,X6) != sk_c8| inverse(X5) != X6| multiply(X6,sk_c9) != sk_c8| inverse(X7) != sk_c10| multiply(X7,sk_c8) != sk_c10 ) ))),
% 0.16/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f46,plain,(
% 0.16/0.46 ![X0]: (multiply(identity,X0)=X0)),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f1])).
% 0.16/0.46 fof(f47,plain,(
% 0.16/0.46 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f2])).
% 0.16/0.46 fof(f48,plain,(
% 0.16/0.46 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f3])).
% 0.16/0.46 fof(f49,plain,(
% 0.16/0.46 inverse(sk_c10)=sk_c9),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f4])).
% 0.16/0.46 fof(f56,plain,(
% 0.16/0.46 multiply(sk_c9,sk_c8)=sk_c10|inverse(sk_c7)=sk_c10),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f11])).
% 0.16/0.46 fof(f57,plain,(
% 0.16/0.46 multiply(sk_c9,sk_c8)=sk_c10|multiply(sk_c7,sk_c8)=sk_c10),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f12])).
% 0.16/0.46 fof(f58,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c8)=sk_c9|multiply(sk_c10,sk_c4)=sk_c9),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f13])).
% 0.16/0.46 fof(f59,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c8)=sk_c9|multiply(sk_c3,sk_c10)=sk_c4),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f14])).
% 0.16/0.46 fof(f60,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c8)=sk_c9|inverse(sk_c3)=sk_c10),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f15])).
% 0.16/0.46 fof(f61,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c8)=sk_c9|multiply(sk_c5,sk_c6)=sk_c8),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f16])).
% 0.16/0.46 fof(f63,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c8)=sk_c9|multiply(sk_c6,sk_c9)=sk_c8),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f18])).
% 0.16/0.46 fof(f64,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c8)=sk_c9|inverse(sk_c7)=sk_c10),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f19])).
% 0.16/0.46 fof(f65,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c8)=sk_c9|multiply(sk_c7,sk_c8)=sk_c10),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f20])).
% 0.16/0.46 fof(f66,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c2)=sk_c9|multiply(sk_c10,sk_c4)=sk_c9),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f21])).
% 0.16/0.46 fof(f67,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c2)=sk_c9|multiply(sk_c3,sk_c10)=sk_c4),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f22])).
% 0.16/0.46 fof(f68,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c2)=sk_c9|inverse(sk_c3)=sk_c10),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f23])).
% 0.16/0.46 fof(f69,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c2)=sk_c9|multiply(sk_c5,sk_c6)=sk_c8),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f24])).
% 0.16/0.46 fof(f70,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c2)=sk_c9|inverse(sk_c5)=sk_c6),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f25])).
% 0.16/0.46 fof(f71,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c2)=sk_c9|multiply(sk_c6,sk_c9)=sk_c8),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f26])).
% 0.16/0.46 fof(f72,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c2)=sk_c9|inverse(sk_c7)=sk_c10),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f27])).
% 0.16/0.46 fof(f73,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c2)=sk_c9|multiply(sk_c7,sk_c8)=sk_c10),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f28])).
% 0.16/0.46 fof(f74,plain,(
% 0.16/0.46 multiply(sk_c1,sk_c10)=sk_c2|multiply(sk_c10,sk_c4)=sk_c9),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f29])).
% 0.16/0.46 fof(f75,plain,(
% 0.16/0.46 multiply(sk_c1,sk_c10)=sk_c2|multiply(sk_c3,sk_c10)=sk_c4),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f30])).
% 0.16/0.46 fof(f76,plain,(
% 0.16/0.46 multiply(sk_c1,sk_c10)=sk_c2|inverse(sk_c3)=sk_c10),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f31])).
% 0.16/0.46 fof(f77,plain,(
% 0.16/0.46 multiply(sk_c1,sk_c10)=sk_c2|multiply(sk_c5,sk_c6)=sk_c8),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f32])).
% 0.16/0.46 fof(f78,plain,(
% 0.16/0.46 multiply(sk_c1,sk_c10)=sk_c2|inverse(sk_c5)=sk_c6),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f33])).
% 0.16/0.46 fof(f79,plain,(
% 0.16/0.46 multiply(sk_c1,sk_c10)=sk_c2|multiply(sk_c6,sk_c9)=sk_c8),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f34])).
% 0.16/0.46 fof(f80,plain,(
% 0.16/0.46 multiply(sk_c1,sk_c10)=sk_c2|inverse(sk_c7)=sk_c10),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f35])).
% 0.16/0.46 fof(f81,plain,(
% 0.16/0.46 multiply(sk_c1,sk_c10)=sk_c2|multiply(sk_c7,sk_c8)=sk_c10),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f36])).
% 0.16/0.46 fof(f82,plain,(
% 0.16/0.46 inverse(sk_c1)=sk_c10|multiply(sk_c10,sk_c4)=sk_c9),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f37])).
% 0.16/0.46 fof(f83,plain,(
% 0.16/0.46 inverse(sk_c1)=sk_c10|multiply(sk_c3,sk_c10)=sk_c4),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f38])).
% 0.16/0.46 fof(f84,plain,(
% 0.16/0.46 inverse(sk_c1)=sk_c10|inverse(sk_c3)=sk_c10),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f39])).
% 0.16/0.46 fof(f85,plain,(
% 0.16/0.46 inverse(sk_c1)=sk_c10|multiply(sk_c5,sk_c6)=sk_c8),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f40])).
% 0.16/0.46 fof(f86,plain,(
% 0.16/0.46 inverse(sk_c1)=sk_c10|inverse(sk_c5)=sk_c6),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f41])).
% 0.16/0.46 fof(f87,plain,(
% 0.16/0.46 inverse(sk_c1)=sk_c10|multiply(sk_c6,sk_c9)=sk_c8),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f42])).
% 0.16/0.46 fof(f88,plain,(
% 0.16/0.46 inverse(sk_c1)=sk_c10|inverse(sk_c7)=sk_c10),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f43])).
% 0.16/0.46 fof(f89,plain,(
% 0.16/0.46 inverse(sk_c1)=sk_c10|multiply(sk_c7,sk_c8)=sk_c10),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f44])).
% 0.16/0.46 fof(f90,plain,(
% 0.16/0.46 ![X7]: (((![X6]: ((![X5]: (((![X2]: ((![X1]: (((![X4]: ((![X3]: ((((~inverse(sk_c10)=sk_c9|~multiply(sk_c9,sk_c8)=sk_c10)|~multiply(sk_c10,sk_c8)=sk_c9)|~multiply(sk_c10,X3)=sk_c9)|~multiply(X4,sk_c10)=X3))|~inverse(X4)=sk_c10))|~multiply(sk_c10,X1)=sk_c9)|~multiply(X2,sk_c10)=X1))|~inverse(X2)=sk_c10))|~multiply(X5,X6)=sk_c8)|~inverse(X5)=X6))|~multiply(X6,sk_c9)=sk_c8))|~inverse(X7)=sk_c10)|~multiply(X7,sk_c8)=sk_c10)),
% 0.16/0.46 inference(miniscoping,[status(esa)],[f45])).
% 0.16/0.46 fof(f91,plain,(
% 0.16/0.46 ![X0,X1,X2,X3,X4,X5,X6]: (~inverse(sk_c10)=sk_c9|~multiply(sk_c9,sk_c8)=sk_c10|~multiply(sk_c10,sk_c8)=sk_c9|~multiply(sk_c10,X0)=sk_c9|~multiply(X1,sk_c10)=X0|~inverse(X1)=sk_c10|~multiply(sk_c10,X2)=sk_c9|~multiply(X3,sk_c10)=X2|~inverse(X3)=sk_c10|~multiply(X4,X5)=sk_c8|~inverse(X4)=X5|~multiply(X5,sk_c9)=sk_c8|~inverse(X6)=sk_c10|~multiply(X6,sk_c8)=sk_c10)),
% 0.16/0.46 inference(cnf_transformation,[status(esa)],[f90])).
% 0.16/0.46 fof(f92,plain,(
% 0.16/0.46 spl0_0 <=> multiply(sk_c9,sk_c8)=sk_c10),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f95,plain,(
% 0.16/0.46 spl0_1 <=> multiply(sk_c10,sk_c4)=sk_c9),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f96,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c4)=sk_c9|~spl0_1),
% 0.16/0.46 inference(component_clause,[status(thm)],[f95])).
% 0.16/0.46 fof(f99,plain,(
% 0.16/0.46 spl0_2 <=> multiply(sk_c3,sk_c10)=sk_c4),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f100,plain,(
% 0.16/0.46 multiply(sk_c3,sk_c10)=sk_c4|~spl0_2),
% 0.16/0.46 inference(component_clause,[status(thm)],[f99])).
% 0.16/0.46 fof(f103,plain,(
% 0.16/0.46 spl0_3 <=> inverse(sk_c3)=sk_c10),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f104,plain,(
% 0.16/0.46 inverse(sk_c3)=sk_c10|~spl0_3),
% 0.16/0.46 inference(component_clause,[status(thm)],[f103])).
% 0.16/0.46 fof(f107,plain,(
% 0.16/0.46 spl0_4 <=> multiply(sk_c5,sk_c6)=sk_c8),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f108,plain,(
% 0.16/0.46 multiply(sk_c5,sk_c6)=sk_c8|~spl0_4),
% 0.16/0.46 inference(component_clause,[status(thm)],[f107])).
% 0.16/0.46 fof(f111,plain,(
% 0.16/0.46 spl0_5 <=> inverse(sk_c5)=sk_c6),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f112,plain,(
% 0.16/0.46 inverse(sk_c5)=sk_c6|~spl0_5),
% 0.16/0.46 inference(component_clause,[status(thm)],[f111])).
% 0.16/0.46 fof(f115,plain,(
% 0.16/0.46 spl0_6 <=> multiply(sk_c6,sk_c9)=sk_c8),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f116,plain,(
% 0.16/0.46 multiply(sk_c6,sk_c9)=sk_c8|~spl0_6),
% 0.16/0.46 inference(component_clause,[status(thm)],[f115])).
% 0.16/0.46 fof(f119,plain,(
% 0.16/0.46 spl0_7 <=> inverse(sk_c7)=sk_c10),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f120,plain,(
% 0.16/0.46 inverse(sk_c7)=sk_c10|~spl0_7),
% 0.16/0.46 inference(component_clause,[status(thm)],[f119])).
% 0.16/0.46 fof(f122,plain,(
% 0.16/0.46 spl0_0|spl0_7),
% 0.16/0.46 inference(split_clause,[status(thm)],[f56,f92,f119])).
% 0.16/0.46 fof(f123,plain,(
% 0.16/0.46 spl0_8 <=> multiply(sk_c7,sk_c8)=sk_c10),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f124,plain,(
% 0.16/0.46 multiply(sk_c7,sk_c8)=sk_c10|~spl0_8),
% 0.16/0.46 inference(component_clause,[status(thm)],[f123])).
% 0.16/0.46 fof(f126,plain,(
% 0.16/0.46 spl0_0|spl0_8),
% 0.16/0.46 inference(split_clause,[status(thm)],[f57,f92,f123])).
% 0.16/0.46 fof(f127,plain,(
% 0.16/0.46 spl0_9 <=> multiply(sk_c10,sk_c8)=sk_c9),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f128,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c8)=sk_c9|~spl0_9),
% 0.16/0.46 inference(component_clause,[status(thm)],[f127])).
% 0.16/0.46 fof(f129,plain,(
% 0.16/0.46 ~multiply(sk_c10,sk_c8)=sk_c9|spl0_9),
% 0.16/0.46 inference(component_clause,[status(thm)],[f127])).
% 0.16/0.46 fof(f130,plain,(
% 0.16/0.46 spl0_9|spl0_1),
% 0.16/0.46 inference(split_clause,[status(thm)],[f58,f127,f95])).
% 0.16/0.46 fof(f131,plain,(
% 0.16/0.46 spl0_9|spl0_2),
% 0.16/0.46 inference(split_clause,[status(thm)],[f59,f127,f99])).
% 0.16/0.46 fof(f132,plain,(
% 0.16/0.46 spl0_9|spl0_3),
% 0.16/0.46 inference(split_clause,[status(thm)],[f60,f127,f103])).
% 0.16/0.46 fof(f133,plain,(
% 0.16/0.46 spl0_9|spl0_4),
% 0.16/0.46 inference(split_clause,[status(thm)],[f61,f127,f107])).
% 0.16/0.46 fof(f135,plain,(
% 0.16/0.46 spl0_9|spl0_6),
% 0.16/0.46 inference(split_clause,[status(thm)],[f63,f127,f115])).
% 0.16/0.46 fof(f136,plain,(
% 0.16/0.46 spl0_9|spl0_7),
% 0.16/0.46 inference(split_clause,[status(thm)],[f64,f127,f119])).
% 0.16/0.46 fof(f137,plain,(
% 0.16/0.46 spl0_9|spl0_8),
% 0.16/0.46 inference(split_clause,[status(thm)],[f65,f127,f123])).
% 0.16/0.46 fof(f138,plain,(
% 0.16/0.46 spl0_10 <=> multiply(sk_c10,sk_c2)=sk_c9),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f139,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c2)=sk_c9|~spl0_10),
% 0.16/0.46 inference(component_clause,[status(thm)],[f138])).
% 0.16/0.46 fof(f141,plain,(
% 0.16/0.46 spl0_10|spl0_1),
% 0.16/0.46 inference(split_clause,[status(thm)],[f66,f138,f95])).
% 0.16/0.46 fof(f142,plain,(
% 0.16/0.46 spl0_10|spl0_2),
% 0.16/0.46 inference(split_clause,[status(thm)],[f67,f138,f99])).
% 0.16/0.46 fof(f143,plain,(
% 0.16/0.46 spl0_10|spl0_3),
% 0.16/0.46 inference(split_clause,[status(thm)],[f68,f138,f103])).
% 0.16/0.46 fof(f144,plain,(
% 0.16/0.46 spl0_10|spl0_4),
% 0.16/0.46 inference(split_clause,[status(thm)],[f69,f138,f107])).
% 0.16/0.46 fof(f145,plain,(
% 0.16/0.46 spl0_10|spl0_5),
% 0.16/0.46 inference(split_clause,[status(thm)],[f70,f138,f111])).
% 0.16/0.46 fof(f146,plain,(
% 0.16/0.46 spl0_10|spl0_6),
% 0.16/0.46 inference(split_clause,[status(thm)],[f71,f138,f115])).
% 0.16/0.46 fof(f147,plain,(
% 0.16/0.46 spl0_10|spl0_7),
% 0.16/0.46 inference(split_clause,[status(thm)],[f72,f138,f119])).
% 0.16/0.46 fof(f148,plain,(
% 0.16/0.46 spl0_10|spl0_8),
% 0.16/0.46 inference(split_clause,[status(thm)],[f73,f138,f123])).
% 0.16/0.46 fof(f149,plain,(
% 0.16/0.46 spl0_11 <=> multiply(sk_c1,sk_c10)=sk_c2),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f150,plain,(
% 0.16/0.46 multiply(sk_c1,sk_c10)=sk_c2|~spl0_11),
% 0.16/0.46 inference(component_clause,[status(thm)],[f149])).
% 0.16/0.46 fof(f152,plain,(
% 0.16/0.46 spl0_11|spl0_1),
% 0.16/0.46 inference(split_clause,[status(thm)],[f74,f149,f95])).
% 0.16/0.46 fof(f153,plain,(
% 0.16/0.46 spl0_11|spl0_2),
% 0.16/0.46 inference(split_clause,[status(thm)],[f75,f149,f99])).
% 0.16/0.46 fof(f154,plain,(
% 0.16/0.46 spl0_11|spl0_3),
% 0.16/0.46 inference(split_clause,[status(thm)],[f76,f149,f103])).
% 0.16/0.46 fof(f155,plain,(
% 0.16/0.46 spl0_11|spl0_4),
% 0.16/0.46 inference(split_clause,[status(thm)],[f77,f149,f107])).
% 0.16/0.46 fof(f156,plain,(
% 0.16/0.46 spl0_11|spl0_5),
% 0.16/0.46 inference(split_clause,[status(thm)],[f78,f149,f111])).
% 0.16/0.46 fof(f157,plain,(
% 0.16/0.46 spl0_11|spl0_6),
% 0.16/0.46 inference(split_clause,[status(thm)],[f79,f149,f115])).
% 0.16/0.46 fof(f158,plain,(
% 0.16/0.46 spl0_11|spl0_7),
% 0.16/0.46 inference(split_clause,[status(thm)],[f80,f149,f119])).
% 0.16/0.46 fof(f159,plain,(
% 0.16/0.46 spl0_11|spl0_8),
% 0.16/0.46 inference(split_clause,[status(thm)],[f81,f149,f123])).
% 0.16/0.46 fof(f160,plain,(
% 0.16/0.46 spl0_12 <=> inverse(sk_c1)=sk_c10),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f161,plain,(
% 0.16/0.46 inverse(sk_c1)=sk_c10|~spl0_12),
% 0.16/0.46 inference(component_clause,[status(thm)],[f160])).
% 0.16/0.46 fof(f163,plain,(
% 0.16/0.46 spl0_12|spl0_1),
% 0.16/0.46 inference(split_clause,[status(thm)],[f82,f160,f95])).
% 0.16/0.46 fof(f164,plain,(
% 0.16/0.46 spl0_12|spl0_2),
% 0.16/0.46 inference(split_clause,[status(thm)],[f83,f160,f99])).
% 0.16/0.46 fof(f165,plain,(
% 0.16/0.46 spl0_12|spl0_3),
% 0.16/0.46 inference(split_clause,[status(thm)],[f84,f160,f103])).
% 0.16/0.46 fof(f166,plain,(
% 0.16/0.46 spl0_12|spl0_4),
% 0.16/0.46 inference(split_clause,[status(thm)],[f85,f160,f107])).
% 0.16/0.46 fof(f167,plain,(
% 0.16/0.46 spl0_12|spl0_5),
% 0.16/0.46 inference(split_clause,[status(thm)],[f86,f160,f111])).
% 0.16/0.46 fof(f168,plain,(
% 0.16/0.46 spl0_12|spl0_6),
% 0.16/0.46 inference(split_clause,[status(thm)],[f87,f160,f115])).
% 0.16/0.46 fof(f169,plain,(
% 0.16/0.46 spl0_12|spl0_7),
% 0.16/0.46 inference(split_clause,[status(thm)],[f88,f160,f119])).
% 0.16/0.46 fof(f170,plain,(
% 0.16/0.46 spl0_12|spl0_8),
% 0.16/0.46 inference(split_clause,[status(thm)],[f89,f160,f123])).
% 0.16/0.46 fof(f171,plain,(
% 0.16/0.46 spl0_13 <=> inverse(sk_c10)=sk_c9),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f173,plain,(
% 0.16/0.46 ~inverse(sk_c10)=sk_c9|spl0_13),
% 0.16/0.46 inference(component_clause,[status(thm)],[f171])).
% 0.16/0.46 fof(f174,plain,(
% 0.16/0.46 spl0_14 <=> ~multiply(sk_c10,X0)=sk_c9|~multiply(X1,sk_c10)=X0|~inverse(X1)=sk_c10),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f175,plain,(
% 0.16/0.46 ![X0,X1]: (~multiply(sk_c10,X0)=sk_c9|~multiply(X1,sk_c10)=X0|~inverse(X1)=sk_c10|~spl0_14)),
% 0.16/0.46 inference(component_clause,[status(thm)],[f174])).
% 0.16/0.46 fof(f177,plain,(
% 0.16/0.46 spl0_15 <=> ~multiply(X4,X5)=sk_c8|~inverse(X4)=X5|~multiply(X5,sk_c9)=sk_c8),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f178,plain,(
% 0.16/0.46 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c8|~spl0_15)),
% 0.16/0.46 inference(component_clause,[status(thm)],[f177])).
% 0.16/0.46 fof(f180,plain,(
% 0.16/0.46 spl0_16 <=> ~inverse(X6)=sk_c10|~multiply(X6,sk_c8)=sk_c10),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f181,plain,(
% 0.16/0.46 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c8)=sk_c10|~spl0_16)),
% 0.16/0.46 inference(component_clause,[status(thm)],[f180])).
% 0.16/0.46 fof(f183,plain,(
% 0.16/0.46 ~spl0_13|~spl0_0|~spl0_9|spl0_14|spl0_15|spl0_16),
% 0.16/0.46 inference(split_clause,[status(thm)],[f91,f171,f92,f127,f174,f177,f180])).
% 0.16/0.46 fof(f184,plain,(
% 0.16/0.46 ~sk_c9=sk_c9|spl0_13),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f49,f173])).
% 0.16/0.46 fof(f185,plain,(
% 0.16/0.46 $false|spl0_13),
% 0.16/0.46 inference(trivial_equality_resolution,[status(esa)],[f184])).
% 0.16/0.46 fof(f186,plain,(
% 0.16/0.46 spl0_13),
% 0.16/0.46 inference(contradiction_clause,[status(thm)],[f185])).
% 0.16/0.46 fof(f188,plain,(
% 0.16/0.46 ~multiply(sk_c7,sk_c8)=sk_c10|~spl0_16|~spl0_7),
% 0.16/0.46 inference(resolution,[status(thm)],[f181,f120])).
% 0.16/0.46 fof(f189,plain,(
% 0.16/0.46 ~sk_c10=sk_c10|~spl0_8|~spl0_16|~spl0_7),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f124,f188])).
% 0.16/0.46 fof(f190,plain,(
% 0.16/0.46 $false|~spl0_8|~spl0_16|~spl0_7),
% 0.16/0.46 inference(trivial_equality_resolution,[status(esa)],[f189])).
% 0.16/0.46 fof(f191,plain,(
% 0.16/0.46 ~spl0_8|~spl0_16|~spl0_7),
% 0.16/0.46 inference(contradiction_clause,[status(thm)],[f190])).
% 0.16/0.46 fof(f192,plain,(
% 0.16/0.46 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c9)=sk_c8|~spl0_15)),
% 0.16/0.46 inference(destructive_equality_resolution,[status(esa)],[f178])).
% 0.16/0.46 fof(f193,plain,(
% 0.16/0.46 ![X0]: (~multiply(sk_c10,multiply(X0,sk_c10))=sk_c9|~inverse(X0)=sk_c10|~spl0_14)),
% 0.16/0.46 inference(destructive_equality_resolution,[status(esa)],[f175])).
% 0.16/0.46 fof(f202,plain,(
% 0.16/0.46 spl0_19 <=> multiply(sk_c5,inverse(sk_c5))=sk_c8),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f204,plain,(
% 0.16/0.46 ~multiply(sk_c5,inverse(sk_c5))=sk_c8|spl0_19),
% 0.16/0.46 inference(component_clause,[status(thm)],[f202])).
% 0.16/0.46 fof(f205,plain,(
% 0.16/0.46 ~multiply(sk_c5,inverse(sk_c5))=sk_c8|~multiply(sk_c6,sk_c9)=sk_c8|~spl0_15|~spl0_5),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f112,f192])).
% 0.16/0.46 fof(f206,plain,(
% 0.16/0.46 ~spl0_19|~spl0_6|~spl0_15|~spl0_5),
% 0.16/0.46 inference(split_clause,[status(thm)],[f205,f202,f115,f177,f111])).
% 0.16/0.46 fof(f217,plain,(
% 0.16/0.46 spl0_22 <=> multiply(sk_c10,inverse(sk_c10))=sk_c8),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f220,plain,(
% 0.16/0.46 spl0_23 <=> multiply(sk_c9,sk_c9)=sk_c8),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f222,plain,(
% 0.16/0.46 ~multiply(sk_c9,sk_c9)=sk_c8|spl0_23),
% 0.16/0.46 inference(component_clause,[status(thm)],[f220])).
% 0.16/0.46 fof(f223,plain,(
% 0.16/0.46 ~multiply(sk_c10,inverse(sk_c10))=sk_c8|~multiply(sk_c9,sk_c9)=sk_c8|~spl0_15),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f49,f192])).
% 0.16/0.46 fof(f224,plain,(
% 0.16/0.46 ~spl0_22|~spl0_23|~spl0_15),
% 0.16/0.46 inference(split_clause,[status(thm)],[f223,f217,f220,f177])).
% 0.16/0.46 fof(f228,plain,(
% 0.16/0.46 ~multiply(sk_c5,sk_c6)=sk_c8|~spl0_5|spl0_19),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f112,f204])).
% 0.16/0.46 fof(f229,plain,(
% 0.16/0.46 ~sk_c8=sk_c8|~spl0_4|~spl0_5|spl0_19),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f108,f228])).
% 0.16/0.46 fof(f230,plain,(
% 0.16/0.46 $false|~spl0_4|~spl0_5|spl0_19),
% 0.16/0.46 inference(trivial_equality_resolution,[status(esa)],[f229])).
% 0.16/0.46 fof(f231,plain,(
% 0.16/0.46 ~spl0_4|~spl0_5|spl0_19),
% 0.16/0.46 inference(contradiction_clause,[status(thm)],[f230])).
% 0.16/0.46 fof(f234,plain,(
% 0.16/0.46 ~multiply(sk_c10,sk_c4)=sk_c9|~inverse(sk_c3)=sk_c10|~spl0_14|~spl0_2),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f100,f193])).
% 0.16/0.46 fof(f235,plain,(
% 0.16/0.46 ~spl0_1|~spl0_3|~spl0_14|~spl0_2),
% 0.16/0.46 inference(split_clause,[status(thm)],[f234,f95,f103,f174,f99])).
% 0.16/0.46 fof(f236,plain,(
% 0.16/0.46 ~multiply(sk_c10,sk_c2)=sk_c9|~inverse(sk_c1)=sk_c10|~spl0_14|~spl0_11),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f150,f193])).
% 0.16/0.46 fof(f237,plain,(
% 0.16/0.46 ~spl0_10|~spl0_12|~spl0_14|~spl0_11),
% 0.16/0.46 inference(split_clause,[status(thm)],[f236,f138,f160,f174,f149])).
% 0.16/0.46 fof(f247,plain,(
% 0.16/0.46 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~spl0_4)),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f108,f48])).
% 0.16/0.46 fof(f269,plain,(
% 0.16/0.46 multiply(sk_c8,sk_c9)=multiply(sk_c5,sk_c8)|~spl0_4|~spl0_6),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f116,f247])).
% 0.16/0.46 fof(f815,plain,(
% 0.16/0.46 multiply(sk_c9,sk_c10)=identity),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f49,f47])).
% 0.16/0.46 fof(f824,plain,(
% 0.16/0.46 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f47,f48])).
% 0.16/0.46 fof(f825,plain,(
% 0.16/0.46 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f46,f824])).
% 0.16/0.46 fof(f855,plain,(
% 0.16/0.46 sk_c8=multiply(inverse(sk_c7),sk_c10)|~spl0_8),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f124,f825])).
% 0.16/0.46 fof(f857,plain,(
% 0.16/0.46 sk_c10=multiply(inverse(sk_c3),sk_c4)|~spl0_2),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f100,f825])).
% 0.16/0.46 fof(f875,plain,(
% 0.16/0.46 sk_c8=multiply(inverse(sk_c10),sk_c9)|~spl0_9),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f128,f825])).
% 0.16/0.46 fof(f876,plain,(
% 0.16/0.46 sk_c8=multiply(sk_c9,sk_c9)|~spl0_9),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f49,f875])).
% 0.16/0.46 fof(f877,plain,(
% 0.16/0.46 $false|spl0_23|~spl0_9),
% 0.16/0.46 inference(forward_subsumption_resolution,[status(thm)],[f876,f222])).
% 0.16/0.46 fof(f878,plain,(
% 0.16/0.46 spl0_23|~spl0_9),
% 0.16/0.46 inference(contradiction_clause,[status(thm)],[f877])).
% 0.16/0.46 fof(f916,plain,(
% 0.16/0.46 sk_c8=multiply(sk_c10,sk_c10)|~spl0_7|~spl0_8),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f120,f855])).
% 0.16/0.46 fof(f918,plain,(
% 0.16/0.46 sk_c10=multiply(inverse(sk_c10),sk_c8)|~spl0_7|~spl0_8),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f916,f825])).
% 0.16/0.46 fof(f919,plain,(
% 0.16/0.46 sk_c10=multiply(sk_c9,sk_c8)|~spl0_7|~spl0_8),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f49,f918])).
% 0.16/0.46 fof(f919,plain,(
% 0.16/0.46 sk_c10=multiply(sk_c9,sk_c8)|~spl0_7|~spl0_8),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f49,f918])).
% 0.16/0.46 fof(f922,plain,(
% 0.16/0.46 sk_c8=multiply(inverse(sk_c9),sk_c10)|~spl0_7|~spl0_8),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f919,f825])).
% 0.16/0.46 fof(f924,plain,(
% 0.16/0.46 sk_c10=multiply(sk_c10,sk_c4)|~spl0_3|~spl0_2),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f104,f857])).
% 0.16/0.46 fof(f925,plain,(
% 0.16/0.46 sk_c10=sk_c9|~spl0_1|~spl0_3|~spl0_2),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f96,f924])).
% 0.16/0.46 fof(f934,plain,(
% 0.16/0.46 multiply(sk_c8,sk_c10)=multiply(sk_c5,sk_c8)|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6),
% 0.16/0.46 inference(backward_demodulation,[status(thm)],[f925,f269])).
% 0.16/0.46 fof(f936,plain,(
% 0.16/0.46 multiply(sk_c6,sk_c10)=sk_c8|~spl0_1|~spl0_3|~spl0_2|~spl0_6),
% 0.16/0.46 inference(backward_demodulation,[status(thm)],[f925,f116])).
% 0.16/0.46 fof(f951,plain,(
% 0.16/0.46 multiply(sk_c8,sk_c10)=multiply(sk_c5,sk_c8)|~spl0_4|~spl0_1|~spl0_3|~spl0_2|~spl0_6),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f936,f247])).
% 0.16/0.46 fof(f978,plain,(
% 0.16/0.46 sk_c8=multiply(inverse(sk_c10),sk_c10)|~spl0_1|~spl0_3|~spl0_2|~spl0_7|~spl0_8),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f925,f922])).
% 0.16/0.46 fof(f979,plain,(
% 0.16/0.46 sk_c8=identity|~spl0_1|~spl0_3|~spl0_2|~spl0_7|~spl0_8),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f47,f978])).
% 0.16/0.46 fof(f1035,plain,(
% 0.16/0.46 multiply(identity,sk_c10)=multiply(sk_c5,sk_c8)|~spl0_7|~spl0_8|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f979,f934])).
% 0.16/0.46 fof(f1036,plain,(
% 0.16/0.46 sk_c10=multiply(sk_c5,sk_c8)|~spl0_7|~spl0_8|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f46,f1035])).
% 0.16/0.46 fof(f1037,plain,(
% 0.16/0.46 sk_c10=multiply(sk_c5,identity)|~spl0_7|~spl0_8|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f979,f1036])).
% 0.16/0.46 fof(f1040,plain,(
% 0.16/0.46 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c5,multiply(identity,X0))|~spl0_7|~spl0_8|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6)),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f1037,f48])).
% 0.16/0.46 fof(f1041,plain,(
% 0.16/0.46 ![X0]: (multiply(sk_c10,X0)=multiply(sk_c5,X0)|~spl0_7|~spl0_8|~spl0_1|~spl0_3|~spl0_2|~spl0_4|~spl0_6)),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f46,f1040])).
% 0.16/0.46 fof(f1054,plain,(
% 0.16/0.46 multiply(identity,sk_c10)=multiply(sk_c5,sk_c8)|~spl0_7|~spl0_8|~spl0_4|~spl0_1|~spl0_3|~spl0_2|~spl0_6),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f979,f951])).
% 0.16/0.46 fof(f1055,plain,(
% 0.16/0.46 sk_c10=multiply(sk_c5,sk_c8)|~spl0_7|~spl0_8|~spl0_4|~spl0_1|~spl0_3|~spl0_2|~spl0_6),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f46,f1054])).
% 0.16/0.46 fof(f1056,plain,(
% 0.16/0.46 sk_c10=multiply(sk_c10,sk_c8)|~spl0_7|~spl0_8|~spl0_4|~spl0_1|~spl0_3|~spl0_2|~spl0_6),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f1041,f1055])).
% 0.16/0.46 fof(f1057,plain,(
% 0.16/0.46 sk_c10=multiply(sk_c10,identity)|~spl0_7|~spl0_8|~spl0_4|~spl0_1|~spl0_3|~spl0_2|~spl0_6),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f979,f1056])).
% 0.16/0.46 fof(f1135,plain,(
% 0.16/0.46 ~multiply(sk_c10,identity)=sk_c9|~spl0_1|~spl0_3|~spl0_2|~spl0_7|~spl0_8|spl0_9),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f979,f129])).
% 0.16/0.46 fof(f1136,plain,(
% 0.16/0.46 ~sk_c10=sk_c9|~spl0_4|~spl0_6|~spl0_1|~spl0_3|~spl0_2|~spl0_7|~spl0_8|spl0_9),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f1057,f1135])).
% 0.16/0.46 fof(f1137,plain,(
% 0.16/0.46 ~sk_c10=sk_c10|~spl0_4|~spl0_6|~spl0_1|~spl0_3|~spl0_2|~spl0_7|~spl0_8|spl0_9),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f925,f1136])).
% 0.16/0.46 fof(f1138,plain,(
% 0.16/0.46 $false|~spl0_4|~spl0_6|~spl0_1|~spl0_3|~spl0_2|~spl0_7|~spl0_8|spl0_9),
% 0.16/0.46 inference(trivial_equality_resolution,[status(esa)],[f1137])).
% 0.16/0.46 fof(f1139,plain,(
% 0.16/0.46 ~spl0_4|~spl0_6|~spl0_1|~spl0_3|~spl0_2|~spl0_7|~spl0_8|spl0_9),
% 0.16/0.46 inference(contradiction_clause,[status(thm)],[f1138])).
% 0.16/0.46 fof(f1141,plain,(
% 0.16/0.46 sk_c2=multiply(inverse(sk_c10),sk_c9)|~spl0_10),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f139,f825])).
% 0.16/0.46 fof(f1143,plain,(
% 0.16/0.46 sk_c10=multiply(inverse(sk_c1),sk_c2)|~spl0_11),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f150,f825])).
% 0.16/0.46 fof(f1191,plain,(
% 0.16/0.46 sk_c2=multiply(sk_c9,sk_c9)|~spl0_10),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f49,f1141])).
% 0.16/0.46 fof(f1192,plain,(
% 0.16/0.46 sk_c2=sk_c8|~spl0_9|~spl0_10),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f876,f1191])).
% 0.16/0.46 fof(f1199,plain,(
% 0.16/0.46 sk_c10=multiply(sk_c10,sk_c2)|~spl0_12|~spl0_11),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f161,f1143])).
% 0.16/0.46 fof(f1200,plain,(
% 0.16/0.46 sk_c10=multiply(sk_c10,sk_c8)|~spl0_9|~spl0_10|~spl0_12|~spl0_11),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f1192,f1199])).
% 0.16/0.46 fof(f1201,plain,(
% 0.16/0.46 sk_c10=sk_c9|~spl0_9|~spl0_10|~spl0_12|~spl0_11),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f128,f1200])).
% 0.16/0.46 fof(f1207,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c10)=identity|~spl0_9|~spl0_10|~spl0_12|~spl0_11),
% 0.16/0.46 inference(backward_demodulation,[status(thm)],[f1201,f815])).
% 0.16/0.46 fof(f1208,plain,(
% 0.16/0.46 sk_c8=multiply(sk_c9,sk_c10)|~spl0_10|~spl0_12|~spl0_11|~spl0_9),
% 0.16/0.46 inference(backward_demodulation,[status(thm)],[f1201,f876])).
% 0.16/0.46 fof(f1209,plain,(
% 0.16/0.46 sk_c8=multiply(sk_c10,sk_c10)|~spl0_10|~spl0_12|~spl0_11|~spl0_9),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f1201,f1208])).
% 0.16/0.46 fof(f1210,plain,(
% 0.16/0.46 inverse(sk_c10)=sk_c10|~spl0_9|~spl0_10|~spl0_12|~spl0_11),
% 0.16/0.46 inference(backward_demodulation,[status(thm)],[f1201,f49])).
% 0.16/0.46 fof(f1212,plain,(
% 0.16/0.46 multiply(sk_c10,sk_c8)=sk_c10|~spl0_10|~spl0_12|~spl0_11|~spl0_9),
% 0.16/0.46 inference(backward_demodulation,[status(thm)],[f1201,f128])).
% 0.16/0.46 fof(f1214,plain,(
% 0.16/0.46 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c10)=sk_c8|~spl0_9|~spl0_10|~spl0_12|~spl0_11|~spl0_15)),
% 0.16/0.46 inference(backward_demodulation,[status(thm)],[f1201,f192])).
% 0.16/0.46 fof(f1221,plain,(
% 0.16/0.46 sk_c8=identity|~spl0_10|~spl0_12|~spl0_11|~spl0_9),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f1207,f1209])).
% 0.16/0.46 fof(f1231,plain,(
% 0.16/0.46 multiply(sk_c10,identity)=sk_c10|~spl0_10|~spl0_12|~spl0_11|~spl0_9),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f1221,f1212])).
% 0.16/0.46 fof(f1260,plain,(
% 0.16/0.46 ![X0]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),sk_c10)=sk_c8|~spl0_9|~spl0_10|~spl0_12|~spl0_11|~spl0_15)),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f1221,f1214])).
% 0.16/0.46 fof(f1261,plain,(
% 0.16/0.46 ![X0]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),sk_c10)=identity|~spl0_9|~spl0_10|~spl0_12|~spl0_11|~spl0_15)),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f1221,f1260])).
% 0.16/0.46 fof(f1262,plain,(
% 0.16/0.46 ~multiply(sk_c10,inverse(sk_c10))=identity|~spl0_9|~spl0_10|~spl0_12|~spl0_11|~spl0_15),
% 0.16/0.46 inference(resolution,[status(thm)],[f1261,f47])).
% 0.16/0.46 fof(f1263,plain,(
% 0.16/0.46 ~multiply(sk_c10,sk_c10)=identity|~spl0_9|~spl0_10|~spl0_12|~spl0_11|~spl0_15),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f1210,f1262])).
% 0.16/0.46 fof(f1264,plain,(
% 0.16/0.46 ~identity=identity|~spl0_9|~spl0_10|~spl0_12|~spl0_11|~spl0_15),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f1207,f1263])).
% 0.16/0.46 fof(f1265,plain,(
% 0.16/0.46 $false|~spl0_9|~spl0_10|~spl0_12|~spl0_11|~spl0_15),
% 0.16/0.46 inference(trivial_equality_resolution,[status(esa)],[f1264])).
% 0.16/0.46 fof(f1266,plain,(
% 0.16/0.46 ~spl0_9|~spl0_10|~spl0_12|~spl0_11|~spl0_15),
% 0.16/0.46 inference(contradiction_clause,[status(thm)],[f1265])).
% 0.16/0.46 fof(f1277,plain,(
% 0.16/0.46 spl0_28 <=> sk_c10=sk_c10),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f1279,plain,(
% 0.16/0.46 ~sk_c10=sk_c10|spl0_28),
% 0.16/0.46 inference(component_clause,[status(thm)],[f1277])).
% 0.16/0.46 fof(f1285,plain,(
% 0.16/0.46 spl0_30 <=> sk_c9=sk_c10),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f1287,plain,(
% 0.16/0.46 ~sk_c9=sk_c10|spl0_30),
% 0.16/0.46 inference(component_clause,[status(thm)],[f1285])).
% 0.16/0.46 fof(f1288,plain,(
% 0.16/0.46 spl0_31 <=> multiply(sk_c10,sk_c8)=sk_c10),
% 0.16/0.46 introduced(split_symbol_definition)).
% 0.16/0.46 fof(f1290,plain,(
% 0.16/0.46 ~multiply(sk_c10,sk_c8)=sk_c10|spl0_31),
% 0.16/0.46 inference(component_clause,[status(thm)],[f1288])).
% 0.16/0.46 fof(f1291,plain,(
% 0.16/0.46 ~sk_c9=sk_c10|~multiply(sk_c10,sk_c8)=sk_c10|~spl0_16),
% 0.16/0.46 inference(paramodulation,[status(thm)],[f49,f181])).
% 0.16/0.46 fof(f1292,plain,(
% 0.16/0.46 ~spl0_30|~spl0_31|~spl0_16),
% 0.16/0.46 inference(split_clause,[status(thm)],[f1291,f1285,f1288,f180])).
% 0.16/0.46 fof(f1293,plain,(
% 0.16/0.46 $false|spl0_28),
% 0.16/0.46 inference(trivial_equality_resolution,[status(esa)],[f1279])).
% 0.16/0.46 fof(f1294,plain,(
% 0.16/0.46 spl0_28),
% 0.16/0.46 inference(contradiction_clause,[status(thm)],[f1293])).
% 0.16/0.46 fof(f1295,plain,(
% 0.16/0.46 ~sk_c10=sk_c10|~spl0_9|~spl0_10|~spl0_12|~spl0_11|spl0_30),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f1201,f1287])).
% 0.16/0.46 fof(f1296,plain,(
% 0.16/0.46 $false|~spl0_9|~spl0_10|~spl0_12|~spl0_11|spl0_30),
% 0.16/0.46 inference(trivial_equality_resolution,[status(esa)],[f1295])).
% 0.16/0.46 fof(f1297,plain,(
% 0.16/0.46 ~spl0_9|~spl0_10|~spl0_12|~spl0_11|spl0_30),
% 0.16/0.46 inference(contradiction_clause,[status(thm)],[f1296])).
% 0.16/0.46 fof(f1298,plain,(
% 0.16/0.46 ~multiply(sk_c10,identity)=sk_c10|~spl0_10|~spl0_12|~spl0_11|~spl0_9|spl0_31),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f1221,f1290])).
% 0.16/0.46 fof(f1299,plain,(
% 0.16/0.46 ~sk_c10=sk_c10|~spl0_10|~spl0_12|~spl0_11|~spl0_9|spl0_31),
% 0.16/0.46 inference(forward_demodulation,[status(thm)],[f1231,f1298])).
% 0.16/0.46 fof(f1300,plain,(
% 0.16/0.46 $false|~spl0_10|~spl0_12|~spl0_11|~spl0_9|spl0_31),
% 0.16/0.46 inference(trivial_equality_resolution,[status(esa)],[f1299])).
% 0.16/0.46 fof(f1301,plain,(
% 0.16/0.46 ~spl0_10|~spl0_12|~spl0_11|~spl0_9|spl0_31),
% 0.16/0.46 inference(contradiction_clause,[status(thm)],[f1300])).
% 0.16/0.46 fof(f1303,plain,(
% 0.16/0.46 spl0_0|~spl0_7|~spl0_8),
% 0.16/0.46 inference(split_clause,[status(thm)],[f919,f92,f119,f123])).
% 0.16/0.46 fof(f1317,plain,(
% 0.16/0.46 $false),
% 0.16/0.46 inference(sat_refutation,[status(thm)],[f122,f126,f130,f131,f132,f133,f135,f136,f137,f141,f142,f143,f144,f145,f146,f147,f148,f152,f153,f154,f155,f156,f157,f158,f159,f163,f164,f165,f166,f167,f168,f169,f170,f183,f186,f191,f206,f224,f231,f235,f237,f878,f1139,f1266,f1292,f1294,f1297,f1301,f1303])).
% 0.16/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.47 % Elapsed time: 0.143490 seconds
% 0.16/0.47 % CPU time: 1.031212 seconds
% 0.16/0.47 % Total memory used: 82.310 MB
% 0.16/0.47 % Net memory used: 81.103 MB
%------------------------------------------------------------------------------