TSTP Solution File: GRP228-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP228-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:11:02 EDT 2023
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP228-1 : 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 : n032.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 May 30 11:31:16 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.30 % Drodi V3.5.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,axiom,(
% 0.13/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c10| inverse(sk_c10) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c10| multiply(sk_c5,sk_c8) = sk_c10 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c10| multiply(sk_c8,sk_c9) = sk_c10 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f12,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c10| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f13,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c10) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f14,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f16,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c9) = sk_c10| multiply(sk_c5,sk_c8) = sk_c10 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f17,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f18,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c9) = sk_c10| multiply(sk_c8,sk_c9) = sk_c10 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f19,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f20,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f21,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c9) = sk_c10| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f22,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c10,sk_c3) = sk_c9| inverse(sk_c10) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f23,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c10,sk_c3) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f25,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c10,sk_c3) = sk_c9| multiply(sk_c5,sk_c8) = sk_c10 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f26,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c10,sk_c3) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f27,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c10,sk_c3) = sk_c9| multiply(sk_c8,sk_c9) = sk_c10 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f28,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c10,sk_c3) = sk_c9| inverse(sk_c7) = sk_c6 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f29,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c10,sk_c3) = sk_c9| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f30,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c10,sk_c3) = sk_c9| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f31,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c10) = sk_c3| inverse(sk_c10) = sk_c9 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f32,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c10) = sk_c3| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f34,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c10) = sk_c3| multiply(sk_c5,sk_c8) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f35,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c10) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f36,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c10) = sk_c3| multiply(sk_c8,sk_c9) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f37,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c10) = sk_c3| inverse(sk_c7) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f38,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c10) = sk_c3| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f39,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c10) = sk_c3| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f40,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c10| inverse(sk_c10) = sk_c9 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f41,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f43,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c10| multiply(sk_c5,sk_c8) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f44,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f45,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c10| multiply(sk_c8,sk_c9) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f46,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f47,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f48,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c10| multiply(sk_c7,sk_c8) = sk_c6 ) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f49,negated_conjecture,(
% 0.13/0.40 (![X4,X5,X6,X1,X3,X2,X7,X8]: (( inverse(X4) != sk_c10| multiply(X4,sk_c9) != sk_c10| multiply(sk_c10,X5) != sk_c9| multiply(X6,sk_c10) != X5| inverse(X6) != sk_c10| inverse(sk_c10) != sk_c9| inverse(X1) != sk_c10| multiply(X1,sk_c9) != sk_c10| multiply(X3,X2) != sk_c10| inverse(X3) != X2| multiply(X2,sk_c9) != sk_c10| inverse(X7) != X8| inverse(X8) != X2| multiply(X7,X2) != X8 ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f50,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.40 fof(f51,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.40 fof(f52,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.40 fof(f53,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c10|inverse(sk_c10)=sk_c9),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f4])).
% 0.13/0.40 fof(f54,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.40 fof(f56,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c10|multiply(sk_c5,sk_c8)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.40 fof(f57,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.40 fof(f58,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c10|multiply(sk_c8,sk_c9)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f9])).
% 0.13/0.40 fof(f59,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f10])).
% 0.13/0.40 fof(f60,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f11])).
% 0.13/0.40 fof(f61,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c10|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.40 fof(f62,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c10)=sk_c9),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.40 fof(f63,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.40 fof(f65,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c10|multiply(sk_c5,sk_c8)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.40 fof(f66,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.40 fof(f67,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c10|multiply(sk_c8,sk_c9)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f18])).
% 0.13/0.40 fof(f68,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.40 fof(f69,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f20])).
% 0.13/0.40 fof(f70,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c10|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f21])).
% 0.13/0.40 fof(f71,plain,(
% 0.13/0.40 multiply(sk_c10,sk_c3)=sk_c9|inverse(sk_c10)=sk_c9),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f22])).
% 0.13/0.40 fof(f72,plain,(
% 0.13/0.40 multiply(sk_c10,sk_c3)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f23])).
% 0.13/0.40 fof(f74,plain,(
% 0.13/0.40 multiply(sk_c10,sk_c3)=sk_c9|multiply(sk_c5,sk_c8)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f25])).
% 0.13/0.40 fof(f75,plain,(
% 0.13/0.40 multiply(sk_c10,sk_c3)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f26])).
% 0.13/0.40 fof(f76,plain,(
% 0.13/0.40 multiply(sk_c10,sk_c3)=sk_c9|multiply(sk_c8,sk_c9)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f27])).
% 0.13/0.40 fof(f77,plain,(
% 0.13/0.40 multiply(sk_c10,sk_c3)=sk_c9|inverse(sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.40 fof(f78,plain,(
% 0.13/0.40 multiply(sk_c10,sk_c3)=sk_c9|inverse(sk_c6)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f29])).
% 0.13/0.40 fof(f79,plain,(
% 0.13/0.40 multiply(sk_c10,sk_c3)=sk_c9|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f30])).
% 0.13/0.40 fof(f80,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c10)=sk_c3|inverse(sk_c10)=sk_c9),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f31])).
% 0.13/0.40 fof(f81,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c10)=sk_c3|inverse(sk_c4)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f32])).
% 0.13/0.40 fof(f83,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c10)=sk_c3|multiply(sk_c5,sk_c8)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f34])).
% 0.13/0.40 fof(f84,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c10)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f35])).
% 0.13/0.40 fof(f85,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c10)=sk_c3|multiply(sk_c8,sk_c9)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f36])).
% 0.13/0.40 fof(f86,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c10)=sk_c3|inverse(sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f37])).
% 0.13/0.40 fof(f87,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c10)=sk_c3|inverse(sk_c6)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f38])).
% 0.13/0.40 fof(f88,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c10)=sk_c3|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f39])).
% 0.13/0.40 fof(f89,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c10|inverse(sk_c10)=sk_c9),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f40])).
% 0.13/0.40 fof(f90,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f41])).
% 0.13/0.40 fof(f92,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c10|multiply(sk_c5,sk_c8)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f43])).
% 0.13/0.40 fof(f93,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f44])).
% 0.13/0.40 fof(f94,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c10|multiply(sk_c8,sk_c9)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f45])).
% 0.13/0.40 fof(f95,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.40 fof(f96,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f47])).
% 0.13/0.40 fof(f97,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c10|multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f48])).
% 0.13/0.40 fof(f98,plain,(
% 0.13/0.40 ![X2,X7,X8]: (((((![X3]: (((![X1]: ((((![X6]: ((![X5]: (((![X4]: (~inverse(X4)=sk_c10|~multiply(X4,sk_c9)=sk_c10))|~multiply(sk_c10,X5)=sk_c9)|~multiply(X6,sk_c10)=X5))|~inverse(X6)=sk_c10))|~inverse(sk_c10)=sk_c9)|~inverse(X1)=sk_c10)|~multiply(X1,sk_c9)=sk_c10))|~multiply(X3,X2)=sk_c10)|~inverse(X3)=X2))|~multiply(X2,sk_c9)=sk_c10)|~inverse(X7)=X8)|~inverse(X8)=X2)|~multiply(X7,X2)=X8)),
% 0.13/0.40 inference(miniscoping,[status(esa)],[f49])).
% 0.13/0.40 fof(f99,plain,(
% 0.13/0.40 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10|~multiply(sk_c10,X1)=sk_c9|~multiply(X2,sk_c10)=X1|~inverse(X2)=sk_c10|~inverse(sk_c10)=sk_c9|~inverse(X3)=sk_c10|~multiply(X3,sk_c9)=sk_c10|~multiply(X4,X5)=sk_c10|~inverse(X4)=X5|~multiply(X5,sk_c9)=sk_c10|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7)),
% 0.13/0.40 inference(cnf_transformation,[status(esa)],[f98])).
% 0.13/0.40 fof(f100,plain,(
% 0.13/0.40 spl0_0 <=> inverse(sk_c1)=sk_c10),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f101,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c10|~spl0_0),
% 0.13/0.40 inference(component_clause,[status(thm)],[f100])).
% 0.13/0.40 fof(f103,plain,(
% 0.13/0.40 spl0_1 <=> inverse(sk_c10)=sk_c9),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f104,plain,(
% 0.13/0.40 inverse(sk_c10)=sk_c9|~spl0_1),
% 0.13/0.40 inference(component_clause,[status(thm)],[f103])).
% 0.13/0.40 fof(f105,plain,(
% 0.13/0.40 ~inverse(sk_c10)=sk_c9|spl0_1),
% 0.13/0.40 inference(component_clause,[status(thm)],[f103])).
% 0.13/0.40 fof(f106,plain,(
% 0.13/0.40 spl0_0|spl0_1),
% 0.13/0.40 inference(split_clause,[status(thm)],[f53,f100,f103])).
% 0.13/0.40 fof(f107,plain,(
% 0.13/0.40 spl0_2 <=> inverse(sk_c4)=sk_c10),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f108,plain,(
% 0.13/0.40 inverse(sk_c4)=sk_c10|~spl0_2),
% 0.13/0.40 inference(component_clause,[status(thm)],[f107])).
% 0.13/0.40 fof(f110,plain,(
% 0.13/0.40 spl0_0|spl0_2),
% 0.13/0.40 inference(split_clause,[status(thm)],[f54,f100,f107])).
% 0.13/0.40 fof(f115,plain,(
% 0.13/0.40 spl0_4 <=> multiply(sk_c5,sk_c8)=sk_c10),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f116,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c8)=sk_c10|~spl0_4),
% 0.13/0.40 inference(component_clause,[status(thm)],[f115])).
% 0.13/0.40 fof(f118,plain,(
% 0.13/0.40 spl0_0|spl0_4),
% 0.13/0.40 inference(split_clause,[status(thm)],[f56,f100,f115])).
% 0.13/0.40 fof(f119,plain,(
% 0.13/0.40 spl0_5 <=> inverse(sk_c5)=sk_c8),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f120,plain,(
% 0.13/0.40 inverse(sk_c5)=sk_c8|~spl0_5),
% 0.13/0.40 inference(component_clause,[status(thm)],[f119])).
% 0.13/0.40 fof(f122,plain,(
% 0.13/0.40 spl0_0|spl0_5),
% 0.13/0.40 inference(split_clause,[status(thm)],[f57,f100,f119])).
% 0.13/0.40 fof(f123,plain,(
% 0.13/0.40 spl0_6 <=> multiply(sk_c8,sk_c9)=sk_c10),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f124,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c9)=sk_c10|~spl0_6),
% 0.13/0.40 inference(component_clause,[status(thm)],[f123])).
% 0.13/0.40 fof(f126,plain,(
% 0.13/0.40 spl0_0|spl0_6),
% 0.13/0.40 inference(split_clause,[status(thm)],[f58,f100,f123])).
% 0.13/0.40 fof(f127,plain,(
% 0.13/0.40 spl0_7 <=> inverse(sk_c7)=sk_c6),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f128,plain,(
% 0.13/0.40 inverse(sk_c7)=sk_c6|~spl0_7),
% 0.13/0.40 inference(component_clause,[status(thm)],[f127])).
% 0.13/0.40 fof(f130,plain,(
% 0.13/0.40 spl0_0|spl0_7),
% 0.13/0.40 inference(split_clause,[status(thm)],[f59,f100,f127])).
% 0.13/0.40 fof(f131,plain,(
% 0.13/0.40 spl0_8 <=> inverse(sk_c6)=sk_c8),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f132,plain,(
% 0.13/0.40 inverse(sk_c6)=sk_c8|~spl0_8),
% 0.13/0.40 inference(component_clause,[status(thm)],[f131])).
% 0.13/0.40 fof(f134,plain,(
% 0.13/0.40 spl0_0|spl0_8),
% 0.13/0.40 inference(split_clause,[status(thm)],[f60,f100,f131])).
% 0.13/0.40 fof(f135,plain,(
% 0.13/0.40 spl0_9 <=> multiply(sk_c7,sk_c8)=sk_c6),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f136,plain,(
% 0.13/0.40 multiply(sk_c7,sk_c8)=sk_c6|~spl0_9),
% 0.13/0.40 inference(component_clause,[status(thm)],[f135])).
% 0.13/0.40 fof(f138,plain,(
% 0.13/0.40 spl0_0|spl0_9),
% 0.13/0.40 inference(split_clause,[status(thm)],[f61,f100,f135])).
% 0.13/0.40 fof(f139,plain,(
% 0.13/0.40 spl0_10 <=> multiply(sk_c1,sk_c9)=sk_c10),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f140,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c10|~spl0_10),
% 0.13/0.40 inference(component_clause,[status(thm)],[f139])).
% 0.13/0.40 fof(f142,plain,(
% 0.13/0.40 spl0_10|spl0_1),
% 0.13/0.40 inference(split_clause,[status(thm)],[f62,f139,f103])).
% 0.13/0.40 fof(f143,plain,(
% 0.13/0.40 spl0_10|spl0_2),
% 0.13/0.40 inference(split_clause,[status(thm)],[f63,f139,f107])).
% 0.13/0.40 fof(f145,plain,(
% 0.13/0.40 spl0_10|spl0_4),
% 0.13/0.40 inference(split_clause,[status(thm)],[f65,f139,f115])).
% 0.13/0.40 fof(f146,plain,(
% 0.13/0.40 spl0_10|spl0_5),
% 0.13/0.40 inference(split_clause,[status(thm)],[f66,f139,f119])).
% 0.13/0.40 fof(f147,plain,(
% 0.13/0.40 spl0_10|spl0_6),
% 0.13/0.40 inference(split_clause,[status(thm)],[f67,f139,f123])).
% 0.13/0.40 fof(f148,plain,(
% 0.13/0.40 spl0_10|spl0_7),
% 0.13/0.40 inference(split_clause,[status(thm)],[f68,f139,f127])).
% 0.13/0.40 fof(f149,plain,(
% 0.13/0.40 spl0_10|spl0_8),
% 0.13/0.40 inference(split_clause,[status(thm)],[f69,f139,f131])).
% 0.13/0.40 fof(f150,plain,(
% 0.13/0.40 spl0_10|spl0_9),
% 0.13/0.40 inference(split_clause,[status(thm)],[f70,f139,f135])).
% 0.13/0.40 fof(f151,plain,(
% 0.13/0.40 spl0_11 <=> multiply(sk_c10,sk_c3)=sk_c9),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f152,plain,(
% 0.13/0.40 multiply(sk_c10,sk_c3)=sk_c9|~spl0_11),
% 0.13/0.40 inference(component_clause,[status(thm)],[f151])).
% 0.13/0.40 fof(f154,plain,(
% 0.13/0.40 spl0_11|spl0_1),
% 0.13/0.40 inference(split_clause,[status(thm)],[f71,f151,f103])).
% 0.13/0.40 fof(f155,plain,(
% 0.13/0.40 spl0_11|spl0_2),
% 0.13/0.40 inference(split_clause,[status(thm)],[f72,f151,f107])).
% 0.13/0.40 fof(f157,plain,(
% 0.13/0.40 spl0_11|spl0_4),
% 0.13/0.40 inference(split_clause,[status(thm)],[f74,f151,f115])).
% 0.13/0.40 fof(f158,plain,(
% 0.13/0.40 spl0_11|spl0_5),
% 0.13/0.40 inference(split_clause,[status(thm)],[f75,f151,f119])).
% 0.13/0.40 fof(f159,plain,(
% 0.13/0.40 spl0_11|spl0_6),
% 0.13/0.40 inference(split_clause,[status(thm)],[f76,f151,f123])).
% 0.13/0.40 fof(f160,plain,(
% 0.13/0.40 spl0_11|spl0_7),
% 0.13/0.40 inference(split_clause,[status(thm)],[f77,f151,f127])).
% 0.13/0.40 fof(f161,plain,(
% 0.13/0.40 spl0_11|spl0_8),
% 0.13/0.40 inference(split_clause,[status(thm)],[f78,f151,f131])).
% 0.13/0.40 fof(f162,plain,(
% 0.13/0.40 spl0_11|spl0_9),
% 0.13/0.40 inference(split_clause,[status(thm)],[f79,f151,f135])).
% 0.13/0.40 fof(f163,plain,(
% 0.13/0.40 spl0_12 <=> multiply(sk_c2,sk_c10)=sk_c3),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f164,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c10)=sk_c3|~spl0_12),
% 0.13/0.40 inference(component_clause,[status(thm)],[f163])).
% 0.13/0.40 fof(f166,plain,(
% 0.13/0.40 spl0_12|spl0_1),
% 0.13/0.40 inference(split_clause,[status(thm)],[f80,f163,f103])).
% 0.13/0.40 fof(f167,plain,(
% 0.13/0.40 spl0_12|spl0_2),
% 0.13/0.40 inference(split_clause,[status(thm)],[f81,f163,f107])).
% 0.13/0.40 fof(f169,plain,(
% 0.13/0.40 spl0_12|spl0_4),
% 0.13/0.40 inference(split_clause,[status(thm)],[f83,f163,f115])).
% 0.13/0.40 fof(f170,plain,(
% 0.13/0.40 spl0_12|spl0_5),
% 0.13/0.40 inference(split_clause,[status(thm)],[f84,f163,f119])).
% 0.13/0.40 fof(f171,plain,(
% 0.13/0.40 spl0_12|spl0_6),
% 0.13/0.40 inference(split_clause,[status(thm)],[f85,f163,f123])).
% 0.13/0.40 fof(f172,plain,(
% 0.13/0.40 spl0_12|spl0_7),
% 0.13/0.40 inference(split_clause,[status(thm)],[f86,f163,f127])).
% 0.13/0.40 fof(f173,plain,(
% 0.13/0.40 spl0_12|spl0_8),
% 0.13/0.40 inference(split_clause,[status(thm)],[f87,f163,f131])).
% 0.13/0.40 fof(f174,plain,(
% 0.13/0.40 spl0_12|spl0_9),
% 0.13/0.40 inference(split_clause,[status(thm)],[f88,f163,f135])).
% 0.13/0.40 fof(f175,plain,(
% 0.13/0.40 spl0_13 <=> inverse(sk_c2)=sk_c10),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f176,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c10|~spl0_13),
% 0.13/0.40 inference(component_clause,[status(thm)],[f175])).
% 0.13/0.40 fof(f177,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c10|spl0_13),
% 0.13/0.40 inference(component_clause,[status(thm)],[f175])).
% 0.13/0.40 fof(f178,plain,(
% 0.13/0.40 spl0_13|spl0_1),
% 0.13/0.40 inference(split_clause,[status(thm)],[f89,f175,f103])).
% 0.13/0.40 fof(f179,plain,(
% 0.13/0.40 spl0_13|spl0_2),
% 0.13/0.40 inference(split_clause,[status(thm)],[f90,f175,f107])).
% 0.13/0.40 fof(f181,plain,(
% 0.13/0.40 spl0_13|spl0_4),
% 0.13/0.40 inference(split_clause,[status(thm)],[f92,f175,f115])).
% 0.13/0.40 fof(f182,plain,(
% 0.13/0.40 spl0_13|spl0_5),
% 0.13/0.40 inference(split_clause,[status(thm)],[f93,f175,f119])).
% 0.13/0.40 fof(f183,plain,(
% 0.13/0.40 spl0_13|spl0_6),
% 0.13/0.40 inference(split_clause,[status(thm)],[f94,f175,f123])).
% 0.13/0.40 fof(f184,plain,(
% 0.13/0.40 spl0_13|spl0_7),
% 0.13/0.40 inference(split_clause,[status(thm)],[f95,f175,f127])).
% 0.13/0.40 fof(f185,plain,(
% 0.13/0.40 spl0_13|spl0_8),
% 0.13/0.40 inference(split_clause,[status(thm)],[f96,f175,f131])).
% 0.13/0.40 fof(f186,plain,(
% 0.13/0.40 spl0_13|spl0_9),
% 0.13/0.40 inference(split_clause,[status(thm)],[f97,f175,f135])).
% 0.13/0.40 fof(f187,plain,(
% 0.13/0.40 spl0_14 <=> ~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f188,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10|~spl0_14)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f187])).
% 0.13/0.40 fof(f190,plain,(
% 0.13/0.40 spl0_15 <=> ~multiply(sk_c10,X1)=sk_c9|~multiply(X2,sk_c10)=X1|~inverse(X2)=sk_c10),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f191,plain,(
% 0.13/0.40 ![X0,X1]: (~multiply(sk_c10,X0)=sk_c9|~multiply(X1,sk_c10)=X0|~inverse(X1)=sk_c10|~spl0_15)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f190])).
% 0.13/0.40 fof(f193,plain,(
% 0.13/0.40 spl0_16 <=> ~multiply(X4,X5)=sk_c10|~inverse(X4)=X5|~multiply(X5,sk_c9)=sk_c10|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f194,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10|~inverse(X2)=X3|~inverse(X3)=X1|~multiply(X2,X1)=X3|~spl0_16)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f193])).
% 0.13/0.40 fof(f196,plain,(
% 0.13/0.40 spl0_14|spl0_15|~spl0_1|spl0_16),
% 0.13/0.40 inference(split_clause,[status(thm)],[f99,f187,f190,f103,f193])).
% 0.13/0.40 fof(f197,plain,(
% 0.13/0.40 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c10|~multiply(inverse(X0),sk_c9)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_16)),
% 0.13/0.40 inference(destructive_equality_resolution,[status(esa)],[f194])).
% 0.13/0.40 fof(f202,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f51,f52])).
% 0.13/0.40 fof(f203,plain,(
% 0.13/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f50,f202])).
% 0.13/0.40 fof(f204,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f203,f203])).
% 0.13/0.40 fof(f205,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f51,f203])).
% 0.13/0.40 fof(f207,plain,(
% 0.13/0.40 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f52,f203])).
% 0.13/0.40 fof(f215,plain,(
% 0.13/0.40 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f51,f204])).
% 0.13/0.40 fof(f224,plain,(
% 0.13/0.40 inverse(identity)=identity),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f50,f215])).
% 0.13/0.40 fof(f243,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(X0,identity))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f204,f205])).
% 0.13/0.40 fof(f244,plain,(
% 0.13/0.40 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f204,f243])).
% 0.13/0.40 fof(f245,plain,(
% 0.13/0.40 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f243,f244])).
% 0.13/0.40 fof(f296,plain,(
% 0.13/0.40 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f215,f207])).
% 0.13/0.40 fof(f297,plain,(
% 0.13/0.40 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f243,f296])).
% 0.13/0.40 fof(f392,plain,(
% 0.13/0.40 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f297,f297])).
% 0.13/0.40 fof(f393,plain,(
% 0.13/0.40 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f245,f392])).
% 0.13/0.40 fof(f394,plain,(
% 0.13/0.40 ![X0,X1]: (inverse(multiply(X0,X1))=multiply(inverse(X1),inverse(X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f203,f297])).
% 0.13/0.40 fof(f670,plain,(
% 0.13/0.40 inverse(sk_c10)=sk_c2|~spl0_13),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f176,f245])).
% 0.13/0.40 fof(f676,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c10)=identity|~spl0_0),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f101,f215])).
% 0.13/0.40 fof(f678,plain,(
% 0.13/0.40 multiply(sk_c10,sk_c1)=identity|~spl0_0),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f101,f51])).
% 0.13/0.40 fof(f680,plain,(
% 0.13/0.40 inverse(sk_c8)=sk_c6|~spl0_8),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f132,f245])).
% 0.13/0.40 fof(f685,plain,(
% 0.13/0.40 inverse(sk_c6)=sk_c7|~spl0_7),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f128,f245])).
% 0.13/0.40 fof(f686,plain,(
% 0.13/0.40 sk_c8=sk_c7|~spl0_8|~spl0_7),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f132,f685])).
% 0.13/0.40 fof(f702,plain,(
% 0.13/0.40 inverse(sk_c8)=sk_c5|~spl0_5),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f120,f245])).
% 0.13/0.40 fof(f707,plain,(
% 0.13/0.40 inverse(sk_c10)=sk_c4|~spl0_2),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f108,f245])).
% 0.13/0.40 fof(f715,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c10)=identity|~spl0_13),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f670,f51])).
% 0.13/0.40 fof(f716,plain,(
% 0.13/0.40 sk_c3=identity|~spl0_12|~spl0_13),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f164,f715])).
% 0.13/0.40 fof(f726,plain,(
% 0.13/0.40 sk_c6=sk_c5|~spl0_8|~spl0_5),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f680,f702])).
% 0.13/0.40 fof(f727,plain,(
% 0.13/0.40 inverse(sk_c8)=sk_c5|~spl0_5|~spl0_8),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f726,f680])).
% 0.13/0.40 fof(f737,plain,(
% 0.13/0.40 multiply(sk_c10,identity)=sk_c9|~spl0_12|~spl0_13|~spl0_11),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f716,f152])).
% 0.13/0.40 fof(f738,plain,(
% 0.13/0.40 sk_c10=sk_c9|~spl0_12|~spl0_13|~spl0_11),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f243,f737])).
% 0.13/0.40 fof(f739,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c10)=sk_c10|~spl0_12|~spl0_13|~spl0_11|~spl0_10),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f738,f140])).
% 0.13/0.40 fof(f742,plain,(
% 0.13/0.40 inverse(sk_c1)=multiply(sk_c10,inverse(sk_c10))|~spl0_12|~spl0_13|~spl0_11|~spl0_10),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f739,f393])).
% 0.13/0.40 fof(f743,plain,(
% 0.13/0.40 sk_c10=multiply(sk_c10,inverse(sk_c10))|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f101,f742])).
% 0.13/0.40 fof(f744,plain,(
% 0.13/0.40 sk_c10=identity|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f215,f743])).
% 0.13/0.40 fof(f754,plain,(
% 0.13/0.40 identity=sk_c9|~spl0_0|~spl0_10|~spl0_12|~spl0_13|~spl0_11),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f744,f738])).
% 0.13/0.40 fof(f766,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c8)=sk_c6|~spl0_8|~spl0_7|~spl0_9),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f686,f136])).
% 0.13/0.40 fof(f800,plain,(
% 0.13/0.40 ![X0,X1]: (~identity=sk_c10|~multiply(inverse(X0),sk_c9)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_16)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f215,f197])).
% 0.13/0.40 fof(f800,plain,(
% 0.13/0.40 ![X0,X1]: (~identity=sk_c10|~multiply(inverse(X0),sk_c9)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_16)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f215,f197])).
% 0.13/0.40 fof(f801,plain,(
% 0.13/0.40 ![X0,X1]: (~identity=identity|~multiply(inverse(X0),sk_c9)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_16)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f744,f800])).
% 0.13/0.40 fof(f802,plain,(
% 0.13/0.40 ![X0,X1]: (~identity=identity|~multiply(inverse(X0),identity)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_16)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f754,f801])).
% 0.13/0.40 fof(f803,plain,(
% 0.13/0.40 ![X0,X1]: (~identity=identity|~inverse(X0)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_16)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f243,f802])).
% 0.13/0.40 fof(f804,plain,(
% 0.13/0.40 ![X0,X1]: (~identity=identity|~inverse(X0)=identity|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_16)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f744,f803])).
% 0.13/0.40 fof(f805,plain,(
% 0.13/0.40 ![X0,X1]: (~identity=identity|~inverse(X0)=identity|~X1=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_16)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f245,f804])).
% 0.13/0.40 fof(f806,plain,(
% 0.13/0.40 ![X0,X1]: (~inverse(X0)=identity|~X1=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_16)),
% 0.13/0.40 inference(trivial_equality_resolution,[status(esa)],[f805])).
% 0.13/0.40 fof(f807,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=identity|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_16)),
% 0.13/0.40 inference(destructive_equality_resolution,[status(esa)],[f806])).
% 0.13/0.40 fof(f813,plain,(
% 0.13/0.40 spl0_17 <=> inverse(identity)=identity),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f815,plain,(
% 0.13/0.40 ~inverse(identity)=identity|spl0_17),
% 0.13/0.40 inference(component_clause,[status(thm)],[f813])).
% 0.13/0.40 fof(f816,plain,(
% 0.13/0.40 spl0_18 <=> multiply(identity,inverse(identity))=inverse(inverse(identity))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f818,plain,(
% 0.13/0.40 ~multiply(identity,inverse(identity))=inverse(inverse(identity))|spl0_18),
% 0.13/0.40 inference(component_clause,[status(thm)],[f816])).
% 0.13/0.40 fof(f819,plain,(
% 0.13/0.40 ~inverse(identity)=identity|~multiply(identity,inverse(identity))=inverse(inverse(identity))|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_16),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f224,f807])).
% 0.13/0.40 fof(f820,plain,(
% 0.13/0.40 ~spl0_17|~spl0_18|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_16),
% 0.13/0.40 inference(split_clause,[status(thm)],[f819,f813,f816,f100,f163,f175,f151,f139,f193])).
% 0.13/0.40 fof(f826,plain,(
% 0.13/0.40 spl0_19 <=> multiply(inverse(identity),identity)=inverse(inverse(identity))),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f828,plain,(
% 0.13/0.40 ~multiply(inverse(identity),identity)=inverse(inverse(identity))|spl0_19),
% 0.13/0.40 inference(component_clause,[status(thm)],[f826])).
% 0.13/0.40 fof(f831,plain,(
% 0.13/0.40 ~identity=inverse(inverse(identity))|spl0_19),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f51,f828])).
% 0.13/0.40 fof(f832,plain,(
% 0.13/0.40 ~identity=identity|spl0_19),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f245,f831])).
% 0.13/0.40 fof(f833,plain,(
% 0.13/0.40 $false|spl0_19),
% 0.13/0.40 inference(trivial_equality_resolution,[status(esa)],[f832])).
% 0.13/0.40 fof(f834,plain,(
% 0.13/0.40 spl0_19),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f833])).
% 0.13/0.40 fof(f835,plain,(
% 0.13/0.40 ~inverse(identity)=inverse(inverse(identity))|spl0_18),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f50,f818])).
% 0.13/0.40 fof(f836,plain,(
% 0.13/0.40 ~identity=inverse(inverse(identity))|spl0_18),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f224,f835])).
% 0.13/0.40 fof(f837,plain,(
% 0.13/0.40 ~identity=identity|spl0_18),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f245,f836])).
% 0.13/0.40 fof(f838,plain,(
% 0.13/0.40 $false|spl0_18),
% 0.13/0.40 inference(trivial_equality_resolution,[status(esa)],[f837])).
% 0.13/0.40 fof(f839,plain,(
% 0.13/0.40 spl0_18),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f838])).
% 0.13/0.40 fof(f840,plain,(
% 0.13/0.40 ~identity=identity|spl0_17),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f224,f815])).
% 0.13/0.40 fof(f841,plain,(
% 0.13/0.40 $false|spl0_17),
% 0.13/0.40 inference(trivial_equality_resolution,[status(esa)],[f840])).
% 0.13/0.40 fof(f842,plain,(
% 0.13/0.40 spl0_17),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f841])).
% 0.13/0.40 fof(f843,plain,(
% 0.13/0.40 ![X0,X1]: (~multiply(identity,X0)=sk_c9|~multiply(X1,sk_c10)=X0|~inverse(X1)=sk_c10|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_15)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f744,f191])).
% 0.13/0.40 fof(f844,plain,(
% 0.13/0.40 ![X0,X1]: (~X0=sk_c9|~multiply(X1,sk_c10)=X0|~inverse(X1)=sk_c10|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_15)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f50,f843])).
% 0.13/0.40 fof(f845,plain,(
% 0.13/0.40 ![X0,X1]: (~X0=identity|~multiply(X1,sk_c10)=X0|~inverse(X1)=sk_c10|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_15)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f754,f844])).
% 0.13/0.40 fof(f846,plain,(
% 0.13/0.40 ![X0,X1]: (~X0=identity|~multiply(X1,identity)=X0|~inverse(X1)=sk_c10|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_15)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f744,f845])).
% 0.13/0.40 fof(f847,plain,(
% 0.13/0.40 ![X0,X1]: (~X0=identity|~X1=X0|~inverse(X1)=sk_c10|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_15)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f243,f846])).
% 0.13/0.40 fof(f848,plain,(
% 0.13/0.40 ![X0,X1]: (~X0=identity|~X1=X0|~inverse(X1)=identity|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_15)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f744,f847])).
% 0.13/0.40 fof(f849,plain,(
% 0.13/0.40 ~inverse(identity)=identity|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_15),
% 0.13/0.40 inference(destructive_equality_resolution,[status(esa)],[f848])).
% 0.13/0.40 fof(f850,plain,(
% 0.13/0.40 $false|~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_15),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f849,f224])).
% 0.13/0.40 fof(f851,plain,(
% 0.13/0.40 ~spl0_0|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_15),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f850])).
% 0.13/0.40 fof(f855,plain,(
% 0.13/0.40 inverse(sk_c1)=identity|~spl0_12|~spl0_13|~spl0_11|~spl0_10),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f215,f742])).
% 0.13/0.40 fof(f1657,plain,(
% 0.13/0.40 inverse(identity)=sk_c1|~spl0_12|~spl0_13|~spl0_11|~spl0_10),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f855,f245])).
% 0.13/0.40 fof(f1658,plain,(
% 0.13/0.40 identity=sk_c1|~spl0_12|~spl0_13|~spl0_11|~spl0_10),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f224,f1657])).
% 0.13/0.40 fof(f1671,plain,(
% 0.13/0.40 inverse(sk_c4)=sk_c10|~spl0_2),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f707,f245])).
% 0.13/0.40 fof(f1689,plain,(
% 0.13/0.40 sk_c4=sk_c9|~spl0_2|~spl0_1),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f707,f104])).
% 0.13/0.40 fof(f1694,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c10)=sk_c10|~spl0_12|~spl0_13|~spl0_11|~spl0_14)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f738,f188])).
% 0.13/0.40 fof(f1698,plain,(
% 0.13/0.40 spl0_20 <=> inverse(inverse(sk_c10))=sk_c10),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f1700,plain,(
% 0.13/0.40 ~inverse(inverse(sk_c10))=sk_c10|spl0_20),
% 0.13/0.40 inference(component_clause,[status(thm)],[f1698])).
% 0.13/0.40 fof(f1701,plain,(
% 0.13/0.40 spl0_21 <=> identity=sk_c10),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f1703,plain,(
% 0.13/0.40 ~identity=sk_c10|spl0_21),
% 0.13/0.40 inference(component_clause,[status(thm)],[f1701])).
% 0.13/0.40 fof(f1704,plain,(
% 0.13/0.40 ~inverse(inverse(sk_c10))=sk_c10|~identity=sk_c10|~spl0_12|~spl0_13|~spl0_11|~spl0_14),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f51,f1694])).
% 0.13/0.40 fof(f1705,plain,(
% 0.13/0.40 ~spl0_20|~spl0_21|~spl0_12|~spl0_13|~spl0_11|~spl0_14),
% 0.13/0.40 inference(split_clause,[status(thm)],[f1704,f1698,f1701,f163,f175,f151,f187])).
% 0.13/0.40 fof(f1709,plain,(
% 0.13/0.40 spl0_23 <=> sk_c10=sk_c10),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f1711,plain,(
% 0.13/0.40 ~sk_c10=sk_c10|spl0_23),
% 0.13/0.40 inference(component_clause,[status(thm)],[f1709])).
% 0.13/0.40 fof(f1715,plain,(
% 0.13/0.40 ~sk_c10=sk_c10|spl0_20),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f245,f1700])).
% 0.13/0.40 fof(f1716,plain,(
% 0.13/0.40 $false|spl0_20),
% 0.13/0.40 inference(trivial_equality_resolution,[status(esa)],[f1715])).
% 0.13/0.40 fof(f1717,plain,(
% 0.13/0.40 spl0_20),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1716])).
% 0.13/0.40 fof(f1744,plain,(
% 0.13/0.40 multiply(identity,sk_c10)=identity|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_0),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1658,f676])).
% 0.13/0.40 fof(f1745,plain,(
% 0.13/0.40 sk_c10=identity|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_0),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f50,f1744])).
% 0.13/0.40 fof(f1748,plain,(
% 0.13/0.40 multiply(sk_c10,identity)=identity|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_0),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1658,f678])).
% 0.13/0.40 fof(f1749,plain,(
% 0.13/0.40 sk_c10=identity|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_0),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f243,f1748])).
% 0.13/0.40 fof(f1752,plain,(
% 0.13/0.40 $false|spl0_21|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_0),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1745,f1703])).
% 0.13/0.40 fof(f1753,plain,(
% 0.13/0.40 spl0_21|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_0),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1752])).
% 0.13/0.40 fof(f1754,plain,(
% 0.13/0.40 $false|spl0_23),
% 0.13/0.40 inference(trivial_equality_resolution,[status(esa)],[f1711])).
% 0.13/0.40 fof(f1755,plain,(
% 0.13/0.40 spl0_23),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1754])).
% 0.13/0.40 fof(f1794,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c8)=identity|~spl0_5),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f120,f215])).
% 0.13/0.40 fof(f1795,plain,(
% 0.13/0.40 sk_c10=identity|~spl0_4|~spl0_5),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f116,f1794])).
% 0.13/0.40 fof(f2447,plain,(
% 0.13/0.40 multiply(sk_c8,sk_c9)=identity|~spl0_4|~spl0_5|~spl0_6),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1795,f124])).
% 0.13/0.40 fof(f2459,plain,(
% 0.13/0.40 inverse(sk_c8)=multiply(sk_c9,inverse(identity))|~spl0_4|~spl0_5|~spl0_6),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f2447,f393])).
% 0.13/0.40 fof(f2460,plain,(
% 0.13/0.40 sk_c5=multiply(sk_c9,inverse(identity))|~spl0_8|~spl0_4|~spl0_5|~spl0_6),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f727,f2459])).
% 0.13/0.40 fof(f2461,plain,(
% 0.13/0.40 sk_c5=multiply(sk_c9,identity)|~spl0_8|~spl0_4|~spl0_5|~spl0_6),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f224,f2460])).
% 0.13/0.40 fof(f2462,plain,(
% 0.13/0.40 sk_c5=sk_c9|~spl0_8|~spl0_4|~spl0_5|~spl0_6),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f243,f2461])).
% 0.13/0.40 fof(f2474,plain,(
% 0.13/0.40 sk_c6=sk_c9|~spl0_4|~spl0_6|~spl0_8|~spl0_5),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f2462,f726])).
% 0.13/0.40 fof(f2488,plain,(
% 0.13/0.40 inverse(sk_c9)=sk_c7|~spl0_4|~spl0_6|~spl0_8|~spl0_5|~spl0_7),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f2474,f685])).
% 0.13/0.40 fof(f2489,plain,(
% 0.13/0.40 inverse(sk_c9)=sk_c8|~spl0_4|~spl0_6|~spl0_8|~spl0_5|~spl0_7),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f686,f2488])).
% 0.13/0.40 fof(f2501,plain,(
% 0.13/0.40 inverse(sk_c9)=sk_c10|~spl0_1|~spl0_2),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1689,f1671])).
% 0.13/0.40 fof(f2502,plain,(
% 0.13/0.40 sk_c8=sk_c10|~spl0_4|~spl0_6|~spl0_8|~spl0_5|~spl0_7|~spl0_1|~spl0_2),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f2489,f2501])).
% 0.13/0.40 fof(f2503,plain,(
% 0.13/0.40 sk_c8=identity|~spl0_4|~spl0_6|~spl0_8|~spl0_5|~spl0_7|~spl0_1|~spl0_2),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1795,f2502])).
% 0.13/0.40 fof(f2510,plain,(
% 0.13/0.40 multiply(identity,sk_c8)=sk_c6|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f2503,f766])).
% 0.13/0.40 fof(f2511,plain,(
% 0.13/0.40 sk_c8=sk_c6|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f50,f2510])).
% 0.13/0.40 fof(f2512,plain,(
% 0.13/0.40 identity=sk_c6|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f2503,f2511])).
% 0.13/0.40 fof(f2513,plain,(
% 0.13/0.40 identity=sk_c9|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f2474,f2512])).
% 0.13/0.40 fof(f2551,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c9)=sk_c10|~spl0_4|~spl0_5|~spl0_14)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1795,f188])).
% 0.13/0.40 fof(f2552,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c10|~spl0_6|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_4|~spl0_5|~spl0_14)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f2513,f2551])).
% 0.13/0.40 fof(f2553,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=identity|~X0=sk_c10|~spl0_6|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_4|~spl0_5|~spl0_14)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f243,f2552])).
% 0.13/0.40 fof(f2554,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_6|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_4|~spl0_5|~spl0_14)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1795,f2553])).
% 0.13/0.40 fof(f2555,plain,(
% 0.13/0.40 ~inverse(identity)=identity|~spl0_6|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_4|~spl0_5|~spl0_14),
% 0.13/0.40 inference(destructive_equality_resolution,[status(esa)],[f2554])).
% 0.13/0.40 fof(f2556,plain,(
% 0.13/0.40 $false|~spl0_6|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_4|~spl0_5|~spl0_14),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f2555,f224])).
% 0.13/0.40 fof(f2557,plain,(
% 0.13/0.40 ~spl0_6|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_4|~spl0_5|~spl0_14),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f2556])).
% 0.13/0.40 fof(f2577,plain,(
% 0.13/0.40 ~inverse(sk_c2)=identity|~spl0_4|~spl0_5|spl0_13),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1795,f177])).
% 0.13/0.40 fof(f2578,plain,(
% 0.13/0.40 ![X0,X1]: (~multiply(identity,X0)=sk_c9|~multiply(X1,sk_c10)=X0|~inverse(X1)=sk_c10|~spl0_4|~spl0_5|~spl0_15)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1795,f191])).
% 0.13/0.40 fof(f2579,plain,(
% 0.13/0.40 ![X0,X1]: (~X0=sk_c9|~multiply(X1,sk_c10)=X0|~inverse(X1)=sk_c10|~spl0_4|~spl0_5|~spl0_15)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f50,f2578])).
% 0.13/0.40 fof(f2580,plain,(
% 0.13/0.40 ![X0,X1]: (~X0=identity|~multiply(X1,sk_c10)=X0|~inverse(X1)=sk_c10|~spl0_6|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_4|~spl0_5|~spl0_15)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f2513,f2579])).
% 0.13/0.40 fof(f2581,plain,(
% 0.13/0.40 ![X0,X1]: (~X0=identity|~multiply(X1,identity)=X0|~inverse(X1)=sk_c10|~spl0_6|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_4|~spl0_5|~spl0_15)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1795,f2580])).
% 0.13/0.40 fof(f2582,plain,(
% 0.13/0.40 ![X0,X1]: (~X0=identity|~X1=X0|~inverse(X1)=sk_c10|~spl0_6|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_4|~spl0_5|~spl0_15)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f243,f2581])).
% 0.13/0.40 fof(f2583,plain,(
% 0.13/0.40 ![X0,X1]: (~X0=identity|~X1=X0|~inverse(X1)=identity|~spl0_6|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_4|~spl0_5|~spl0_15)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1795,f2582])).
% 0.13/0.40 fof(f2584,plain,(
% 0.13/0.40 ~inverse(identity)=identity|~spl0_6|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_4|~spl0_5|~spl0_15),
% 0.13/0.40 inference(destructive_equality_resolution,[status(esa)],[f2583])).
% 0.13/0.40 fof(f2585,plain,(
% 0.13/0.40 $false|~spl0_6|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_4|~spl0_5|~spl0_15),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f2584,f224])).
% 0.13/0.40 fof(f2586,plain,(
% 0.13/0.40 ~spl0_6|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_4|~spl0_5|~spl0_15),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f2585])).
% 0.13/0.40 fof(f2927,plain,(
% 0.13/0.40 multiply(identity,sk_c3)=sk_c9|~spl0_12|~spl0_13|~spl0_10|~spl0_0|~spl0_11),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1749,f152])).
% 0.13/0.40 fof(f2928,plain,(
% 0.13/0.40 sk_c3=sk_c9|~spl0_12|~spl0_13|~spl0_10|~spl0_0|~spl0_11),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f50,f2927])).
% 0.13/0.40 fof(f2929,plain,(
% 0.13/0.40 identity=sk_c9|~spl0_12|~spl0_13|~spl0_10|~spl0_0|~spl0_11),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f716,f2928])).
% 0.13/0.40 fof(f3603,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c9|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_0|spl0_1),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1749,f105])).
% 0.13/0.40 fof(f3604,plain,(
% 0.13/0.40 ~identity=sk_c9|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_0|spl0_1),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f224,f3603])).
% 0.13/0.40 fof(f3605,plain,(
% 0.13/0.40 ~identity=identity|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_0|spl0_1),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f2929,f3604])).
% 0.13/0.40 fof(f3606,plain,(
% 0.13/0.40 $false|~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_0|spl0_1),
% 0.13/0.40 inference(trivial_equality_resolution,[status(esa)],[f3605])).
% 0.13/0.40 fof(f3607,plain,(
% 0.13/0.40 ~spl0_12|~spl0_13|~spl0_11|~spl0_10|~spl0_0|spl0_1),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f3606])).
% 0.13/0.40 fof(f3608,plain,(
% 0.13/0.40 spl0_25 <=> ~multiply(inverse(X0),sk_c9)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)),
% 0.13/0.40 introduced(split_symbol_definition)).
% 0.13/0.40 fof(f3609,plain,(
% 0.13/0.40 ![X0,X1]: (~multiply(inverse(X0),sk_c9)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_25)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f3608])).
% 0.13/0.40 fof(f3611,plain,(
% 0.13/0.40 ~spl0_21|spl0_25|~spl0_16),
% 0.13/0.40 inference(split_clause,[status(thm)],[f800,f1701,f3608,f193])).
% 0.13/0.40 fof(f3614,plain,(
% 0.13/0.40 ![X0,X1]: (~multiply(inverse(X0),sk_c9)=sk_c10|~X1=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_25)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f245,f3609])).
% 0.13/0.40 fof(f3615,plain,(
% 0.13/0.40 ![X0]: (~multiply(inverse(X0),sk_c9)=sk_c10|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_25)),
% 0.13/0.40 inference(destructive_equality_resolution,[status(esa)],[f3614])).
% 0.13/0.40 fof(f3627,plain,(
% 0.13/0.40 ~identity=identity|~spl0_4|~spl0_5|spl0_21),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1795,f1703])).
% 0.13/0.40 fof(f3628,plain,(
% 0.13/0.40 $false|~spl0_4|~spl0_5|spl0_21),
% 0.13/0.40 inference(trivial_equality_resolution,[status(esa)],[f3627])).
% 0.13/0.40 fof(f3629,plain,(
% 0.13/0.40 ~spl0_4|~spl0_5|spl0_21),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f3628])).
% 0.13/0.40 fof(f3643,plain,(
% 0.13/0.40 multiply(sk_c2,identity)=sk_c3|~spl0_4|~spl0_5|~spl0_12),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1795,f164])).
% 0.13/0.40 fof(f3644,plain,(
% 0.13/0.40 sk_c2=sk_c3|~spl0_4|~spl0_5|~spl0_12),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f243,f3643])).
% 0.13/0.40 fof(f5610,plain,(
% 0.13/0.40 ~inverse(sk_c3)=identity|~spl0_12|~spl0_4|~spl0_5|spl0_13),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f3644,f2577])).
% 0.13/0.40 fof(f5625,plain,(
% 0.13/0.40 multiply(identity,sk_c3)=sk_c9|~spl0_4|~spl0_5|~spl0_11),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1795,f152])).
% 0.13/0.40 fof(f5626,plain,(
% 0.13/0.40 sk_c3=sk_c9|~spl0_4|~spl0_5|~spl0_11),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f50,f5625])).
% 0.13/0.40 fof(f5627,plain,(
% 0.13/0.40 sk_c3=identity|~spl0_6|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_4|~spl0_5|~spl0_11),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f2513,f5626])).
% 0.13/0.40 fof(f5628,plain,(
% 0.13/0.40 ~inverse(identity)=identity|~spl0_6|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_11|~spl0_12|~spl0_4|~spl0_5|spl0_13),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f5627,f5610])).
% 0.13/0.40 fof(f5629,plain,(
% 0.13/0.40 ~spl0_17|~spl0_6|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_11|~spl0_12|~spl0_4|~spl0_5|spl0_13),
% 0.13/0.40 inference(split_clause,[status(thm)],[f5628,f813,f123,f103,f107,f131,f127,f135,f151,f163,f115,f119,f175])).
% 0.13/0.40 fof(f6612,plain,(
% 0.13/0.40 ![X0]: (~multiply(inverse(X0),identity)=sk_c10|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_25)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f2513,f3615])).
% 0.13/0.42 fof(f6613,plain,(
% 0.13/0.42 ![X0]: (~inverse(X0)=sk_c10|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_25)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f243,f6612])).
% 0.13/0.42 fof(f6614,plain,(
% 0.13/0.42 ![X0]: (~inverse(X0)=identity|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_25)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f1795,f6613])).
% 0.13/0.42 fof(f6615,plain,(
% 0.13/0.42 ![X0]: (~inverse(X0)=identity|~inverse(multiply(X0,X0))=inverse(inverse(X0))|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_25)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f394,f6614])).
% 0.13/0.42 fof(f6616,plain,(
% 0.13/0.42 ![X0]: (~inverse(X0)=identity|~inverse(multiply(X0,X0))=X0|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_25)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f245,f6615])).
% 0.13/0.42 fof(f6640,plain,(
% 0.13/0.42 ~inverse(identity)=identity|~inverse(identity)=identity|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_25),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f50,f6616])).
% 0.13/0.42 fof(f6641,plain,(
% 0.13/0.42 ~spl0_17|~spl0_4|~spl0_6|~spl0_5|~spl0_1|~spl0_2|~spl0_8|~spl0_7|~spl0_9|~spl0_25),
% 0.13/0.42 inference(split_clause,[status(thm)],[f6640,f813,f115,f123,f119,f103,f107,f131,f127,f135,f3608])).
% 0.13/0.42 fof(f6645,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(sat_refutation,[status(thm)],[f106,f110,f118,f122,f126,f130,f134,f138,f142,f143,f145,f146,f147,f148,f149,f150,f154,f155,f157,f158,f159,f160,f161,f162,f166,f167,f169,f170,f171,f172,f173,f174,f178,f179,f181,f182,f183,f184,f185,f186,f196,f820,f834,f839,f842,f851,f1705,f1717,f1753,f1755,f2557,f2586,f3607,f3611,f3629,f5629,f6641])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.122738 seconds
% 0.13/0.42 % CPU time: 0.303693 seconds
% 0.13/0.42 % Memory used: 52.762 MB
%------------------------------------------------------------------------------