TSTP Solution File: GRP373-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP373-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:20:14 EDT 2024
% Result : Unsatisfiable 0.20s 0.62s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP373-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:32:57 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.62 % Refutation found
% 0.20/0.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.62 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.62 fof(f1,axiom,(
% 0.20/0.62 (![X]: (multiply(identity,X) = X ))),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f2,axiom,(
% 0.20/0.62 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f3,axiom,(
% 0.20/0.62 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f4,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c11) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f5,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c11) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f8,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c11) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f9,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c11) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f11,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c11) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f12,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c11) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f16,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f17,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f18,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f19,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f21,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f22,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f26,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c1) = sk_c11| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f27,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c1) = sk_c11| inverse(sk_c4) = sk_c10 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f28,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c1) = sk_c11| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f29,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c1) = sk_c11| inverse(sk_c5) = sk_c8 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f31,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c1) = sk_c11| inverse(sk_c7) = sk_c6 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f32,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c1) = sk_c11| inverse(sk_c6) = sk_c8 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f34,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f36,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f37,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f38,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f39,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f41,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f42,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f44,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f45,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f46,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f47,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f48,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f49,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f50,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f51,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f52,negated_conjecture,(
% 0.20/0.62 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c6) = sk_c8 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f54,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c2) = sk_c9| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f55,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c2) = sk_c9| inverse(sk_c3) = sk_c11 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f56,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f57,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f58,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f59,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f60,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c2) = sk_c9| multiply(sk_c8,sk_c10) = sk_c11 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f61,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c2) = sk_c9| inverse(sk_c7) = sk_c6 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f62,negated_conjecture,(
% 0.20/0.62 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c8 ) ),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f64,negated_conjecture,(
% 0.20/0.62 (![X3,X4,X1,X2,X5,X6,X7,X8]: (( inverse(sk_c11) != sk_c10| multiply(X3,sk_c11) != sk_c10| inverse(X3) != sk_c11| multiply(sk_c11,sk_c9) != sk_c10| multiply(X4,sk_c9) != sk_c10| inverse(X4) != sk_c9| multiply(X1,sk_c11) != sk_c10| inverse(X1) != sk_c11| multiply(X2,sk_c10) != sk_c9| inverse(X2) != sk_c10| multiply(X5,X6) != sk_c11| inverse(X5) != X6| multiply(X6,sk_c10) != sk_c11| inverse(X7) != X8| inverse(X8) != X6| multiply(X7,X6) != X8 ) ))),
% 0.20/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.62 fof(f65,plain,(
% 0.20/0.62 ![X0]: (multiply(identity,X0)=X0)),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.62 fof(f66,plain,(
% 0.20/0.62 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.62 fof(f67,plain,(
% 0.20/0.62 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.62 fof(f68,plain,(
% 0.20/0.62 inverse(sk_c11)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.62 fof(f69,plain,(
% 0.20/0.62 inverse(sk_c11)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.62 fof(f72,plain,(
% 0.20/0.62 inverse(sk_c11)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.62 fof(f73,plain,(
% 0.20/0.62 inverse(sk_c11)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.62 fof(f75,plain,(
% 0.20/0.62 inverse(sk_c11)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f11])).
% 0.20/0.62 fof(f76,plain,(
% 0.20/0.62 inverse(sk_c11)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.62 fof(f80,plain,(
% 0.20/0.62 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.62 fof(f81,plain,(
% 0.20/0.62 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.62 fof(f82,plain,(
% 0.20/0.62 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f18])).
% 0.20/0.62 fof(f83,plain,(
% 0.20/0.62 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.62 fof(f85,plain,(
% 0.20/0.62 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f21])).
% 0.20/0.62 fof(f86,plain,(
% 0.20/0.62 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.62 fof(f90,plain,(
% 0.20/0.62 inverse(sk_c1)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.62 fof(f91,plain,(
% 0.20/0.62 inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c10),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f27])).
% 0.20/0.62 fof(f92,plain,(
% 0.20/0.62 inverse(sk_c1)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f28])).
% 0.20/0.62 fof(f93,plain,(
% 0.20/0.62 inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c8),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f29])).
% 0.20/0.62 fof(f95,plain,(
% 0.20/0.62 inverse(sk_c1)=sk_c11|inverse(sk_c7)=sk_c6),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f31])).
% 0.20/0.62 fof(f96,plain,(
% 0.20/0.62 inverse(sk_c1)=sk_c11|inverse(sk_c6)=sk_c8),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f32])).
% 0.20/0.62 fof(f98,plain,(
% 0.20/0.62 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f34])).
% 0.20/0.62 fof(f100,plain,(
% 0.20/0.62 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f36])).
% 0.20/0.62 fof(f101,plain,(
% 0.20/0.62 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f37])).
% 0.20/0.62 fof(f102,plain,(
% 0.20/0.62 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f38])).
% 0.20/0.62 fof(f103,plain,(
% 0.20/0.62 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f39])).
% 0.20/0.62 fof(f105,plain,(
% 0.20/0.62 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f41])).
% 0.20/0.62 fof(f106,plain,(
% 0.20/0.62 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f42])).
% 0.20/0.62 fof(f108,plain,(
% 0.20/0.62 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f44])).
% 0.20/0.62 fof(f109,plain,(
% 0.20/0.62 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f45])).
% 0.20/0.62 fof(f110,plain,(
% 0.20/0.62 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f46])).
% 0.20/0.62 fof(f111,plain,(
% 0.20/0.62 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f47])).
% 0.20/0.62 fof(f112,plain,(
% 0.20/0.62 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f48])).
% 0.20/0.62 fof(f113,plain,(
% 0.20/0.62 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f49])).
% 0.20/0.62 fof(f114,plain,(
% 0.20/0.62 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c8,sk_c10)=sk_c11),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f50])).
% 0.20/0.62 fof(f115,plain,(
% 0.20/0.62 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f51])).
% 0.20/0.62 fof(f116,plain,(
% 0.20/0.62 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c6)=sk_c8),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f52])).
% 0.20/0.62 fof(f118,plain,(
% 0.20/0.62 inverse(sk_c2)=sk_c9|multiply(sk_c3,sk_c11)=sk_c10),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f54])).
% 0.20/0.62 fof(f119,plain,(
% 0.20/0.62 inverse(sk_c2)=sk_c9|inverse(sk_c3)=sk_c11),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f55])).
% 0.20/0.62 fof(f120,plain,(
% 0.20/0.62 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f56])).
% 0.20/0.62 fof(f121,plain,(
% 0.20/0.62 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f57])).
% 0.20/0.62 fof(f122,plain,(
% 0.20/0.62 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c11),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f58])).
% 0.20/0.62 fof(f123,plain,(
% 0.20/0.62 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f59])).
% 0.20/0.62 fof(f124,plain,(
% 0.20/0.62 inverse(sk_c2)=sk_c9|multiply(sk_c8,sk_c10)=sk_c11),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f60])).
% 0.20/0.62 fof(f125,plain,(
% 0.20/0.62 inverse(sk_c2)=sk_c9|inverse(sk_c7)=sk_c6),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f61])).
% 0.20/0.62 fof(f126,plain,(
% 0.20/0.62 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c8),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f62])).
% 0.20/0.62 fof(f128,plain,(
% 0.20/0.62 ![X6,X7,X8]: (((((![X5]: (((![X2]: (((![X1]: (((![X4]: ((((![X3]: ((~inverse(sk_c11)=sk_c10|~multiply(X3,sk_c11)=sk_c10)|~inverse(X3)=sk_c11))|~multiply(sk_c11,sk_c9)=sk_c10)|~multiply(X4,sk_c9)=sk_c10)|~inverse(X4)=sk_c9))|~multiply(X1,sk_c11)=sk_c10)|~inverse(X1)=sk_c11))|~multiply(X2,sk_c10)=sk_c9)|~inverse(X2)=sk_c10))|~multiply(X5,X6)=sk_c11)|~inverse(X5)=X6))|~multiply(X6,sk_c10)=sk_c11)|~inverse(X7)=X8)|~inverse(X8)=X6)|~multiply(X7,X6)=X8)),
% 0.20/0.62 inference(miniscoping,[status(esa)],[f64])).
% 0.20/0.62 fof(f129,plain,(
% 0.20/0.62 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~inverse(sk_c11)=sk_c10|~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~multiply(sk_c11,sk_c9)=sk_c10|~multiply(X1,sk_c9)=sk_c10|~inverse(X1)=sk_c9|~multiply(X2,sk_c11)=sk_c10|~inverse(X2)=sk_c11|~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10|~multiply(X4,X5)=sk_c11|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c11|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7)),
% 0.20/0.62 inference(cnf_transformation,[status(esa)],[f128])).
% 0.20/0.62 fof(f130,plain,(
% 0.20/0.62 spl0_0 <=> inverse(sk_c11)=sk_c10),
% 0.20/0.62 introduced(split_symbol_definition)).
% 0.20/0.62 fof(f131,plain,(
% 0.20/0.62 inverse(sk_c11)=sk_c10|~spl0_0),
% 0.20/0.62 inference(component_clause,[status(thm)],[f130])).
% 0.20/0.62 fof(f132,plain,(
% 0.20/0.62 ~inverse(sk_c11)=sk_c10|spl0_0),
% 0.20/0.62 inference(component_clause,[status(thm)],[f130])).
% 0.20/0.62 fof(f133,plain,(
% 0.20/0.62 spl0_1 <=> multiply(sk_c3,sk_c11)=sk_c10),
% 0.20/0.62 introduced(split_symbol_definition)).
% 0.20/0.62 fof(f134,plain,(
% 0.20/0.62 multiply(sk_c3,sk_c11)=sk_c10|~spl0_1),
% 0.20/0.62 inference(component_clause,[status(thm)],[f133])).
% 0.20/0.62 fof(f136,plain,(
% 0.20/0.62 spl0_0|spl0_1),
% 0.20/0.62 inference(split_clause,[status(thm)],[f68,f130,f133])).
% 0.20/0.62 fof(f137,plain,(
% 0.20/0.62 spl0_2 <=> inverse(sk_c3)=sk_c11),
% 0.20/0.62 introduced(split_symbol_definition)).
% 0.20/0.62 fof(f138,plain,(
% 0.20/0.62 inverse(sk_c3)=sk_c11|~spl0_2),
% 0.20/0.62 inference(component_clause,[status(thm)],[f137])).
% 0.20/0.62 fof(f140,plain,(
% 0.20/0.62 spl0_0|spl0_2),
% 0.20/0.62 inference(split_clause,[status(thm)],[f69,f130,f137])).
% 0.20/0.62 fof(f141,plain,(
% 0.20/0.62 spl0_3 <=> multiply(sk_c4,sk_c10)=sk_c9),
% 0.20/0.62 introduced(split_symbol_definition)).
% 0.20/0.62 fof(f142,plain,(
% 0.20/0.62 multiply(sk_c4,sk_c10)=sk_c9|~spl0_3),
% 0.20/0.62 inference(component_clause,[status(thm)],[f141])).
% 0.20/0.62 fof(f145,plain,(
% 0.20/0.62 spl0_4 <=> inverse(sk_c4)=sk_c10),
% 0.20/0.62 introduced(split_symbol_definition)).
% 0.20/0.62 fof(f146,plain,(
% 0.20/0.62 inverse(sk_c4)=sk_c10|~spl0_4),
% 0.20/0.62 inference(component_clause,[status(thm)],[f145])).
% 0.20/0.62 fof(f149,plain,(
% 0.20/0.62 spl0_5 <=> multiply(sk_c5,sk_c8)=sk_c11),
% 0.20/0.62 introduced(split_symbol_definition)).
% 0.20/0.62 fof(f150,plain,(
% 0.20/0.62 multiply(sk_c5,sk_c8)=sk_c11|~spl0_5),
% 0.20/0.62 inference(component_clause,[status(thm)],[f149])).
% 0.20/0.62 fof(f152,plain,(
% 0.20/0.62 spl0_0|spl0_5),
% 0.20/0.62 inference(split_clause,[status(thm)],[f72,f130,f149])).
% 0.20/0.62 fof(f153,plain,(
% 0.20/0.62 spl0_6 <=> inverse(sk_c5)=sk_c8),
% 0.20/0.62 introduced(split_symbol_definition)).
% 0.20/0.62 fof(f154,plain,(
% 0.20/0.62 inverse(sk_c5)=sk_c8|~spl0_6),
% 0.20/0.62 inference(component_clause,[status(thm)],[f153])).
% 0.20/0.62 fof(f156,plain,(
% 0.20/0.62 spl0_0|spl0_6),
% 0.20/0.62 inference(split_clause,[status(thm)],[f73,f130,f153])).
% 0.20/0.62 fof(f157,plain,(
% 0.20/0.62 spl0_7 <=> multiply(sk_c8,sk_c10)=sk_c11),
% 0.20/0.62 introduced(split_symbol_definition)).
% 0.20/0.62 fof(f161,plain,(
% 0.20/0.62 spl0_8 <=> inverse(sk_c7)=sk_c6),
% 0.20/0.62 introduced(split_symbol_definition)).
% 0.20/0.62 fof(f162,plain,(
% 0.20/0.62 inverse(sk_c7)=sk_c6|~spl0_8),
% 0.20/0.62 inference(component_clause,[status(thm)],[f161])).
% 0.20/0.62 fof(f164,plain,(
% 0.20/0.62 spl0_0|spl0_8),
% 0.20/0.62 inference(split_clause,[status(thm)],[f75,f130,f161])).
% 0.20/0.62 fof(f165,plain,(
% 0.20/0.62 spl0_9 <=> inverse(sk_c6)=sk_c8),
% 0.20/0.62 introduced(split_symbol_definition)).
% 0.20/0.62 fof(f166,plain,(
% 0.20/0.62 inverse(sk_c6)=sk_c8|~spl0_9),
% 0.20/0.62 inference(component_clause,[status(thm)],[f165])).
% 0.20/0.62 fof(f168,plain,(
% 0.20/0.62 spl0_0|spl0_9),
% 0.20/0.62 inference(split_clause,[status(thm)],[f76,f130,f165])).
% 0.20/0.62 fof(f173,plain,(
% 0.20/0.62 spl0_11 <=> multiply(sk_c1,sk_c11)=sk_c10),
% 0.20/0.62 introduced(split_symbol_definition)).
% 0.20/0.62 fof(f174,plain,(
% 0.20/0.62 multiply(sk_c1,sk_c11)=sk_c10|~spl0_11),
% 0.20/0.62 inference(component_clause,[status(thm)],[f173])).
% 0.20/0.62 fof(f178,plain,(
% 0.20/0.62 spl0_11|spl0_3),
% 0.20/0.62 inference(split_clause,[status(thm)],[f80,f173,f141])).
% 0.20/0.62 fof(f179,plain,(
% 0.20/0.62 spl0_11|spl0_4),
% 0.20/0.62 inference(split_clause,[status(thm)],[f81,f173,f145])).
% 0.20/0.62 fof(f180,plain,(
% 0.20/0.62 spl0_11|spl0_5),
% 0.20/0.62 inference(split_clause,[status(thm)],[f82,f173,f149])).
% 0.20/0.62 fof(f181,plain,(
% 0.20/0.62 spl0_11|spl0_6),
% 0.20/0.62 inference(split_clause,[status(thm)],[f83,f173,f153])).
% 0.20/0.62 fof(f183,plain,(
% 0.20/0.62 spl0_11|spl0_8),
% 0.20/0.62 inference(split_clause,[status(thm)],[f85,f173,f161])).
% 0.20/0.62 fof(f184,plain,(
% 0.20/0.62 spl0_11|spl0_9),
% 0.20/0.62 inference(split_clause,[status(thm)],[f86,f173,f165])).
% 0.20/0.62 fof(f186,plain,(
% 0.20/0.62 spl0_12 <=> inverse(sk_c1)=sk_c11),
% 0.20/0.62 introduced(split_symbol_definition)).
% 0.20/0.62 fof(f191,plain,(
% 0.20/0.62 spl0_12|spl0_3),
% 0.20/0.62 inference(split_clause,[status(thm)],[f90,f186,f141])).
% 0.20/0.62 fof(f192,plain,(
% 0.20/0.62 spl0_12|spl0_4),
% 0.20/0.62 inference(split_clause,[status(thm)],[f91,f186,f145])).
% 0.20/0.62 fof(f193,plain,(
% 0.20/0.62 spl0_12|spl0_5),
% 0.20/0.62 inference(split_clause,[status(thm)],[f92,f186,f149])).
% 0.20/0.62 fof(f194,plain,(
% 0.20/0.62 spl0_12|spl0_6),
% 0.20/0.62 inference(split_clause,[status(thm)],[f93,f186,f153])).
% 0.20/0.62 fof(f196,plain,(
% 0.20/0.62 spl0_12|spl0_8),
% 0.20/0.62 inference(split_clause,[status(thm)],[f95,f186,f161])).
% 0.20/0.62 fof(f197,plain,(
% 0.20/0.62 spl0_12|spl0_9),
% 0.20/0.62 inference(split_clause,[status(thm)],[f96,f186,f165])).
% 0.20/0.62 fof(f199,plain,(
% 0.20/0.62 spl0_13 <=> multiply(sk_c11,sk_c9)=sk_c10),
% 0.20/0.62 introduced(split_symbol_definition)).
% 0.20/0.62 fof(f200,plain,(
% 0.20/0.62 multiply(sk_c11,sk_c9)=sk_c10|~spl0_13),
% 0.20/0.62 inference(component_clause,[status(thm)],[f199])).
% 0.20/0.62 fof(f201,plain,(
% 0.20/0.62 ~multiply(sk_c11,sk_c9)=sk_c10|spl0_13),
% 0.20/0.62 inference(component_clause,[status(thm)],[f199])).
% 0.20/0.62 fof(f202,plain,(
% 0.20/0.62 spl0_13|spl0_1),
% 0.20/0.62 inference(split_clause,[status(thm)],[f98,f199,f133])).
% 0.20/0.62 fof(f204,plain,(
% 0.20/0.62 spl0_13|spl0_3),
% 0.20/0.62 inference(split_clause,[status(thm)],[f100,f199,f141])).
% 0.20/0.62 fof(f205,plain,(
% 0.20/0.62 spl0_13|spl0_4),
% 0.20/0.62 inference(split_clause,[status(thm)],[f101,f199,f145])).
% 0.20/0.62 fof(f206,plain,(
% 0.20/0.62 spl0_13|spl0_5),
% 0.20/0.62 inference(split_clause,[status(thm)],[f102,f199,f149])).
% 0.20/0.62 fof(f207,plain,(
% 0.20/0.62 spl0_13|spl0_6),
% 0.20/0.62 inference(split_clause,[status(thm)],[f103,f199,f153])).
% 0.20/0.62 fof(f209,plain,(
% 0.20/0.62 spl0_13|spl0_8),
% 0.20/0.62 inference(split_clause,[status(thm)],[f105,f199,f161])).
% 0.20/0.62 fof(f210,plain,(
% 0.20/0.62 spl0_13|spl0_9),
% 0.20/0.62 inference(split_clause,[status(thm)],[f106,f199,f165])).
% 0.20/0.62 fof(f212,plain,(
% 0.20/0.62 spl0_14 <=> multiply(sk_c2,sk_c9)=sk_c10),
% 0.20/0.62 introduced(split_symbol_definition)).
% 0.20/0.62 fof(f213,plain,(
% 0.20/0.62 multiply(sk_c2,sk_c9)=sk_c10|~spl0_14),
% 0.20/0.62 inference(component_clause,[status(thm)],[f212])).
% 0.20/0.62 fof(f215,plain,(
% 0.20/0.62 spl0_14|spl0_1),
% 0.20/0.62 inference(split_clause,[status(thm)],[f108,f212,f133])).
% 0.20/0.62 fof(f216,plain,(
% 0.20/0.62 spl0_14|spl0_2),
% 0.20/0.62 inference(split_clause,[status(thm)],[f109,f212,f137])).
% 0.20/0.62 fof(f217,plain,(
% 0.20/0.62 spl0_14|spl0_3),
% 0.20/0.62 inference(split_clause,[status(thm)],[f110,f212,f141])).
% 0.20/0.62 fof(f218,plain,(
% 0.20/0.62 spl0_14|spl0_4),
% 0.20/0.62 inference(split_clause,[status(thm)],[f111,f212,f145])).
% 0.20/0.62 fof(f219,plain,(
% 0.20/0.62 spl0_14|spl0_5),
% 0.20/0.62 inference(split_clause,[status(thm)],[f112,f212,f149])).
% 0.20/0.62 fof(f220,plain,(
% 0.20/0.62 spl0_14|spl0_6),
% 0.20/0.62 inference(split_clause,[status(thm)],[f113,f212,f153])).
% 0.20/0.62 fof(f221,plain,(
% 0.20/0.62 spl0_14|spl0_7),
% 0.20/0.62 inference(split_clause,[status(thm)],[f114,f212,f157])).
% 0.20/0.62 fof(f222,plain,(
% 0.20/0.62 spl0_14|spl0_8),
% 0.20/0.62 inference(split_clause,[status(thm)],[f115,f212,f161])).
% 0.20/0.62 fof(f223,plain,(
% 1.94/0.63 spl0_14|spl0_9),
% 1.94/0.63 inference(split_clause,[status(thm)],[f116,f212,f165])).
% 1.94/0.63 fof(f225,plain,(
% 1.94/0.63 spl0_15 <=> inverse(sk_c2)=sk_c9),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f226,plain,(
% 1.94/0.63 inverse(sk_c2)=sk_c9|~spl0_15),
% 1.94/0.63 inference(component_clause,[status(thm)],[f225])).
% 1.94/0.63 fof(f228,plain,(
% 1.94/0.63 spl0_15|spl0_1),
% 1.94/0.63 inference(split_clause,[status(thm)],[f118,f225,f133])).
% 1.94/0.63 fof(f229,plain,(
% 1.94/0.63 spl0_15|spl0_2),
% 1.94/0.63 inference(split_clause,[status(thm)],[f119,f225,f137])).
% 1.94/0.63 fof(f230,plain,(
% 1.94/0.63 spl0_15|spl0_3),
% 1.94/0.63 inference(split_clause,[status(thm)],[f120,f225,f141])).
% 1.94/0.63 fof(f231,plain,(
% 1.94/0.63 spl0_15|spl0_4),
% 1.94/0.63 inference(split_clause,[status(thm)],[f121,f225,f145])).
% 1.94/0.63 fof(f232,plain,(
% 1.94/0.63 spl0_15|spl0_5),
% 1.94/0.63 inference(split_clause,[status(thm)],[f122,f225,f149])).
% 1.94/0.63 fof(f233,plain,(
% 1.94/0.63 spl0_15|spl0_6),
% 1.94/0.63 inference(split_clause,[status(thm)],[f123,f225,f153])).
% 1.94/0.63 fof(f234,plain,(
% 1.94/0.63 spl0_15|spl0_7),
% 1.94/0.63 inference(split_clause,[status(thm)],[f124,f225,f157])).
% 1.94/0.63 fof(f235,plain,(
% 1.94/0.63 spl0_15|spl0_8),
% 1.94/0.63 inference(split_clause,[status(thm)],[f125,f225,f161])).
% 1.94/0.63 fof(f236,plain,(
% 1.94/0.63 spl0_15|spl0_9),
% 1.94/0.63 inference(split_clause,[status(thm)],[f126,f225,f165])).
% 1.94/0.63 fof(f238,plain,(
% 1.94/0.63 spl0_16 <=> ~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f239,plain,(
% 1.94/0.63 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~spl0_16)),
% 1.94/0.63 inference(component_clause,[status(thm)],[f238])).
% 1.94/0.63 fof(f241,plain,(
% 1.94/0.63 spl0_17 <=> ~multiply(X1,sk_c9)=sk_c10|~inverse(X1)=sk_c9),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f242,plain,(
% 1.94/0.63 ![X0]: (~multiply(X0,sk_c9)=sk_c10|~inverse(X0)=sk_c9|~spl0_17)),
% 1.94/0.63 inference(component_clause,[status(thm)],[f241])).
% 1.94/0.63 fof(f244,plain,(
% 1.94/0.63 spl0_18 <=> ~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f245,plain,(
% 1.94/0.63 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~spl0_18)),
% 1.94/0.63 inference(component_clause,[status(thm)],[f244])).
% 1.94/0.63 fof(f247,plain,(
% 1.94/0.63 spl0_19 <=> ~multiply(X4,X5)=sk_c11|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c11|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f248,plain,(
% 1.94/0.63 ![X0,X1,X2,X3]: (~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c11|~inverse(X2)=X3|~inverse(X3)=X1|~multiply(X2,X1)=X3|~spl0_19)),
% 1.94/0.63 inference(component_clause,[status(thm)],[f247])).
% 1.94/0.63 fof(f250,plain,(
% 1.94/0.63 ~spl0_0|spl0_16|~spl0_13|spl0_17|spl0_18|spl0_19),
% 1.94/0.63 inference(split_clause,[status(thm)],[f129,f130,f238,f199,f241,f244,f247])).
% 1.94/0.63 fof(f251,plain,(
% 1.94/0.63 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_19)),
% 1.94/0.63 inference(destructive_equality_resolution,[status(esa)],[f248])).
% 1.94/0.63 fof(f256,plain,(
% 1.94/0.63 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f66,f67])).
% 1.94/0.63 fof(f257,plain,(
% 1.94/0.63 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f65,f256])).
% 1.94/0.63 fof(f258,plain,(
% 1.94/0.63 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f257,f257])).
% 1.94/0.63 fof(f259,plain,(
% 1.94/0.63 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f66,f257])).
% 1.94/0.63 fof(f261,plain,(
% 1.94/0.63 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f67,f257])).
% 1.94/0.63 fof(f269,plain,(
% 1.94/0.63 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f66,f258])).
% 1.94/0.63 fof(f278,plain,(
% 1.94/0.63 inverse(identity)=identity),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f65,f269])).
% 1.94/0.63 fof(f297,plain,(
% 1.94/0.63 ![X0]: (X0=multiply(X0,identity))),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f258,f259])).
% 1.94/0.63 fof(f298,plain,(
% 1.94/0.63 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f258,f297])).
% 1.94/0.63 fof(f299,plain,(
% 1.94/0.63 ![X0]: (inverse(inverse(X0))=X0)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f297,f298])).
% 1.94/0.63 fof(f350,plain,(
% 1.94/0.63 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f269,f261])).
% 1.94/0.63 fof(f351,plain,(
% 1.94/0.63 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f297,f350])).
% 1.94/0.63 fof(f448,plain,(
% 1.94/0.63 ![X0,X1]: (inverse(multiply(X0,X1))=multiply(inverse(X1),inverse(X0)))),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f257,f351])).
% 1.94/0.63 fof(f724,plain,(
% 1.94/0.63 inverse(sk_c9)=sk_c2|~spl0_15),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f226,f299])).
% 1.94/0.63 fof(f734,plain,(
% 1.94/0.63 inverse(sk_c8)=sk_c6|~spl0_9),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f166,f299])).
% 1.94/0.63 fof(f739,plain,(
% 1.94/0.63 inverse(sk_c6)=sk_c7|~spl0_8),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f162,f299])).
% 1.94/0.63 fof(f740,plain,(
% 1.94/0.63 sk_c8=sk_c7|~spl0_9|~spl0_8),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f166,f739])).
% 1.94/0.63 fof(f743,plain,(
% 1.94/0.63 multiply(sk_c6,sk_c7)=identity|~spl0_8),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f162,f66])).
% 1.94/0.63 fof(f756,plain,(
% 1.94/0.63 inverse(sk_c8)=sk_c5|~spl0_6),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f154,f299])).
% 1.94/0.63 fof(f761,plain,(
% 1.94/0.63 inverse(sk_c10)=sk_c4|~spl0_4),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f146,f299])).
% 1.94/0.63 fof(f766,plain,(
% 1.94/0.63 inverse(sk_c11)=sk_c3|~spl0_2),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f138,f299])).
% 1.94/0.63 fof(f771,plain,(
% 1.94/0.63 inverse(sk_c10)=sk_c11|~spl0_0),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f131,f299])).
% 1.94/0.63 fof(f772,plain,(
% 1.94/0.63 multiply(sk_c11,sk_c10)=identity|~spl0_0),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f131,f269])).
% 1.94/0.63 fof(f779,plain,(
% 1.94/0.63 multiply(sk_c2,sk_c9)=identity|~spl0_15),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f724,f66])).
% 1.94/0.63 fof(f780,plain,(
% 1.94/0.63 sk_c10=identity|~spl0_14|~spl0_15),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f213,f779])).
% 1.94/0.63 fof(f794,plain,(
% 1.94/0.63 sk_c6=sk_c5|~spl0_9|~spl0_6),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f734,f756])).
% 1.94/0.63 fof(f797,plain,(
% 1.94/0.63 multiply(sk_c1,sk_c11)=identity|~spl0_14|~spl0_15|~spl0_11),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f780,f174])).
% 1.94/0.63 fof(f806,plain,(
% 1.94/0.63 inverse(sk_c11)=multiply(inverse(identity),sk_c1)|~spl0_14|~spl0_15|~spl0_11),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f797,f351])).
% 1.94/0.63 fof(f834,plain,(
% 1.94/0.63 inverse(identity)=sk_c4|~spl0_14|~spl0_15|~spl0_4),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f780,f761])).
% 1.94/0.63 fof(f835,plain,(
% 1.94/0.63 identity=sk_c4|~spl0_14|~spl0_15|~spl0_4),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f278,f834])).
% 1.94/0.63 fof(f840,plain,(
% 1.94/0.63 inverse(identity)=sk_c11|~spl0_14|~spl0_15|~spl0_0),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f780,f771])).
% 1.94/0.63 fof(f841,plain,(
% 1.94/0.63 identity=sk_c11|~spl0_14|~spl0_15|~spl0_0),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f278,f840])).
% 1.94/0.63 fof(f868,plain,(
% 1.94/0.63 multiply(identity,sk_c10)=sk_c9|~spl0_14|~spl0_15|~spl0_4|~spl0_3),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f835,f142])).
% 1.94/0.63 fof(f869,plain,(
% 1.94/0.63 sk_c10=sk_c9|~spl0_14|~spl0_15|~spl0_4|~spl0_3),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f65,f868])).
% 1.94/0.63 fof(f870,plain,(
% 1.94/0.63 identity=sk_c9|~spl0_14|~spl0_15|~spl0_4|~spl0_3),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f780,f869])).
% 1.94/0.63 fof(f1634,plain,(
% 1.94/0.63 multiply(identity,sk_c9)=sk_c10|~spl0_14|~spl0_15|~spl0_0|~spl0_13),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f841,f200])).
% 1.94/0.63 fof(f1635,plain,(
% 1.94/0.63 sk_c9=sk_c10|~spl0_14|~spl0_15|~spl0_0|~spl0_13),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f65,f1634])).
% 1.94/0.63 fof(f1637,plain,(
% 1.94/0.63 ![X0,X1]: (~identity=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_19)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f269,f251])).
% 1.94/0.63 fof(f1637,plain,(
% 1.94/0.63 ![X0,X1]: (~identity=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_19)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f269,f251])).
% 1.94/0.63 fof(f1638,plain,(
% 1.94/0.63 ![X0,X1]: (~identity=identity|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_14|~spl0_15|~spl0_0|~spl0_19)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f841,f1637])).
% 1.94/0.63 fof(f1639,plain,(
% 1.94/0.63 ![X0,X1]: (~identity=identity|~multiply(inverse(X0),identity)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_14|~spl0_15|~spl0_0|~spl0_19)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f780,f1638])).
% 1.94/0.63 fof(f1640,plain,(
% 1.94/0.63 ![X0,X1]: (~identity=identity|~inverse(X0)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_14|~spl0_15|~spl0_0|~spl0_19)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f297,f1639])).
% 1.94/0.63 fof(f1641,plain,(
% 1.94/0.63 ![X0,X1]: (~identity=identity|~inverse(X0)=identity|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_14|~spl0_15|~spl0_0|~spl0_19)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f841,f1640])).
% 1.94/0.63 fof(f1642,plain,(
% 1.94/0.63 ![X0,X1]: (~identity=identity|~inverse(X0)=identity|~X1=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_14|~spl0_15|~spl0_0|~spl0_19)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f299,f1641])).
% 1.94/0.63 fof(f1643,plain,(
% 1.94/0.63 ![X0,X1]: (~inverse(X0)=identity|~X1=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_14|~spl0_15|~spl0_0|~spl0_19)),
% 1.94/0.63 inference(trivial_equality_resolution,[status(esa)],[f1642])).
% 1.94/0.63 fof(f1644,plain,(
% 1.94/0.63 ![X0]: (~inverse(X0)=identity|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_14|~spl0_15|~spl0_0|~spl0_19)),
% 1.94/0.63 inference(destructive_equality_resolution,[status(esa)],[f1643])).
% 1.94/0.63 fof(f1663,plain,(
% 1.94/0.63 spl0_20 <=> inverse(identity)=identity),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f1665,plain,(
% 1.94/0.63 ~inverse(identity)=identity|spl0_20),
% 1.94/0.63 inference(component_clause,[status(thm)],[f1663])).
% 1.94/0.63 fof(f1666,plain,(
% 1.94/0.63 spl0_21 <=> multiply(identity,inverse(identity))=inverse(inverse(identity))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f1668,plain,(
% 1.94/0.63 ~multiply(identity,inverse(identity))=inverse(inverse(identity))|spl0_21),
% 1.94/0.63 inference(component_clause,[status(thm)],[f1666])).
% 1.94/0.63 fof(f1669,plain,(
% 1.94/0.63 ~inverse(identity)=identity|~multiply(identity,inverse(identity))=inverse(inverse(identity))|~spl0_14|~spl0_15|~spl0_0|~spl0_19),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f278,f1644])).
% 1.94/0.63 fof(f1670,plain,(
% 1.94/0.63 ~spl0_20|~spl0_21|~spl0_14|~spl0_15|~spl0_0|~spl0_19),
% 1.94/0.63 inference(split_clause,[status(thm)],[f1669,f1663,f1666,f212,f225,f130,f247])).
% 1.94/0.63 fof(f1686,plain,(
% 1.94/0.63 spl0_22 <=> multiply(inverse(identity),identity)=inverse(inverse(identity))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f1688,plain,(
% 1.94/0.63 ~multiply(inverse(identity),identity)=inverse(inverse(identity))|spl0_22),
% 1.94/0.63 inference(component_clause,[status(thm)],[f1686])).
% 1.94/0.63 fof(f1691,plain,(
% 1.94/0.63 ~identity=inverse(inverse(identity))|spl0_22),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f66,f1688])).
% 1.94/0.63 fof(f1692,plain,(
% 1.94/0.63 ~identity=identity|spl0_22),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f299,f1691])).
% 1.94/0.63 fof(f1693,plain,(
% 1.94/0.63 $false|spl0_22),
% 1.94/0.63 inference(trivial_equality_resolution,[status(esa)],[f1692])).
% 1.94/0.63 fof(f1694,plain,(
% 1.94/0.63 spl0_22),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f1693])).
% 1.94/0.63 fof(f1695,plain,(
% 1.94/0.63 ~inverse(identity)=inverse(inverse(identity))|spl0_21),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f65,f1668])).
% 1.94/0.63 fof(f1696,plain,(
% 1.94/0.63 ~identity=inverse(inverse(identity))|spl0_21),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f278,f1695])).
% 1.94/0.63 fof(f1697,plain,(
% 1.94/0.63 ~identity=identity|spl0_21),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f299,f1696])).
% 1.94/0.63 fof(f1698,plain,(
% 1.94/0.63 $false|spl0_21),
% 1.94/0.63 inference(trivial_equality_resolution,[status(esa)],[f1697])).
% 1.94/0.63 fof(f1699,plain,(
% 1.94/0.63 spl0_21),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f1698])).
% 1.94/0.63 fof(f1700,plain,(
% 1.94/0.63 ~identity=identity|spl0_20),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f278,f1665])).
% 1.94/0.63 fof(f1701,plain,(
% 1.94/0.63 $false|spl0_20),
% 1.94/0.63 inference(trivial_equality_resolution,[status(esa)],[f1700])).
% 1.94/0.63 fof(f1702,plain,(
% 1.94/0.63 spl0_20),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f1701])).
% 1.94/0.63 fof(f1703,plain,(
% 1.94/0.63 ![X0]: (~multiply(X0,identity)=sk_c9|~inverse(X0)=sk_c10|~spl0_14|~spl0_15|~spl0_18)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f780,f245])).
% 1.94/0.63 fof(f1704,plain,(
% 1.94/0.63 ![X0]: (~X0=sk_c9|~inverse(X0)=sk_c10|~spl0_14|~spl0_15|~spl0_18)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f297,f1703])).
% 1.94/0.63 fof(f1705,plain,(
% 1.94/0.63 ![X0]: (~X0=identity|~inverse(X0)=sk_c10|~spl0_4|~spl0_3|~spl0_14|~spl0_15|~spl0_18)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f870,f1704])).
% 1.94/0.63 fof(f1706,plain,(
% 1.94/0.63 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_4|~spl0_3|~spl0_14|~spl0_15|~spl0_18)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f780,f1705])).
% 1.94/0.63 fof(f1707,plain,(
% 1.94/0.63 ~inverse(identity)=identity|~spl0_4|~spl0_3|~spl0_14|~spl0_15|~spl0_18),
% 1.94/0.63 inference(destructive_equality_resolution,[status(esa)],[f1706])).
% 1.94/0.63 fof(f1708,plain,(
% 1.94/0.63 $false|~spl0_4|~spl0_3|~spl0_14|~spl0_15|~spl0_18),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1707,f278])).
% 1.94/0.63 fof(f1709,plain,(
% 1.94/0.63 ~spl0_4|~spl0_3|~spl0_14|~spl0_15|~spl0_18),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f1708])).
% 1.94/0.63 fof(f1713,plain,(
% 1.94/0.63 ![X0]: (~multiply(X0,sk_c9)=identity|~inverse(X0)=sk_c9|~spl0_14|~spl0_15|~spl0_17)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f780,f242])).
% 1.94/0.63 fof(f1714,plain,(
% 1.94/0.63 ![X0]: (~multiply(X0,identity)=sk_c10|~inverse(X0)=sk_c11|~spl0_14|~spl0_15|~spl0_0|~spl0_16)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f841,f239])).
% 1.94/0.63 fof(f1715,plain,(
% 1.94/0.63 ![X0]: (~X0=sk_c10|~inverse(X0)=sk_c11|~spl0_14|~spl0_15|~spl0_0|~spl0_16)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f297,f1714])).
% 1.94/0.63 fof(f1716,plain,(
% 1.94/0.63 ![X0]: (~X0=identity|~inverse(X0)=sk_c11|~spl0_14|~spl0_15|~spl0_0|~spl0_16)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f780,f1715])).
% 1.94/0.63 fof(f1717,plain,(
% 1.94/0.63 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_14|~spl0_15|~spl0_0|~spl0_16)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f841,f1716])).
% 1.94/0.63 fof(f1718,plain,(
% 1.94/0.63 ~inverse(identity)=identity|~spl0_14|~spl0_15|~spl0_0|~spl0_16),
% 1.94/0.63 inference(destructive_equality_resolution,[status(esa)],[f1717])).
% 1.94/0.63 fof(f1719,plain,(
% 1.94/0.63 $false|~spl0_14|~spl0_15|~spl0_0|~spl0_16),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1718,f278])).
% 1.94/0.63 fof(f1720,plain,(
% 1.94/0.63 ~spl0_14|~spl0_15|~spl0_0|~spl0_16),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f1719])).
% 1.94/0.63 fof(f1749,plain,(
% 1.94/0.63 multiply(sk_c3,sk_c11)=identity|~spl0_2),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f766,f66])).
% 1.94/0.63 fof(f1820,plain,(
% 1.94/0.63 inverse(sk_c11)=multiply(identity,sk_c1)|~spl0_14|~spl0_15|~spl0_11),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f278,f806])).
% 1.94/0.63 fof(f1821,plain,(
% 1.94/0.63 inverse(sk_c11)=sk_c1|~spl0_14|~spl0_15|~spl0_11),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f65,f1820])).
% 1.94/0.63 fof(f1824,plain,(
% 1.94/0.63 sk_c9=identity|~spl0_14|~spl0_15|~spl0_0|~spl0_13),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f780,f1635])).
% 1.94/0.63 fof(f1828,plain,(
% 1.94/0.63 multiply(sk_c11,identity)=identity|~spl0_14|~spl0_15|~spl0_0),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f780,f772])).
% 1.94/0.63 fof(f1829,plain,(
% 1.94/0.63 sk_c11=identity|~spl0_14|~spl0_15|~spl0_0),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f297,f1828])).
% 1.94/0.63 fof(f2493,plain,(
% 1.94/0.63 inverse(identity)=sk_c1|~spl0_0|~spl0_14|~spl0_15|~spl0_11),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f1829,f1821])).
% 1.94/0.63 fof(f2494,plain,(
% 1.94/0.63 identity=sk_c1|~spl0_0|~spl0_14|~spl0_15|~spl0_11),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f278,f2493])).
% 1.94/0.63 fof(f2499,plain,(
% 1.94/0.63 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c9|~spl0_0|~spl0_13|~spl0_14|~spl0_15|~spl0_17)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f1824,f1713])).
% 1.94/0.63 fof(f2500,plain,(
% 1.94/0.63 ![X0]: (~X0=identity|~inverse(X0)=sk_c9|~spl0_0|~spl0_13|~spl0_14|~spl0_15|~spl0_17)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f297,f2499])).
% 1.94/0.63 fof(f2501,plain,(
% 1.94/0.63 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_0|~spl0_13|~spl0_14|~spl0_15|~spl0_17)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f1824,f2500])).
% 1.94/0.63 fof(f2502,plain,(
% 1.94/0.63 ~inverse(identity)=identity|~spl0_0|~spl0_13|~spl0_14|~spl0_15|~spl0_17),
% 1.94/0.63 inference(destructive_equality_resolution,[status(esa)],[f2501])).
% 1.94/0.63 fof(f2503,plain,(
% 1.94/0.63 $false|~spl0_0|~spl0_13|~spl0_14|~spl0_15|~spl0_17),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f2502,f278])).
% 1.94/0.63 fof(f2504,plain,(
% 1.94/0.63 ~spl0_0|~spl0_13|~spl0_14|~spl0_15|~spl0_17),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f2503])).
% 1.94/0.63 fof(f2961,plain,(
% 1.94/0.63 sk_c11=sk_c4|~spl0_0|~spl0_4),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f771,f761])).
% 1.94/0.63 fof(f2999,plain,(
% 1.94/0.63 multiply(sk_c5,sk_c7)=identity|~spl0_9|~spl0_6|~spl0_8),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f794,f743])).
% 1.94/0.63 fof(f3000,plain,(
% 1.94/0.63 multiply(sk_c5,sk_c8)=identity|~spl0_9|~spl0_6|~spl0_8),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f740,f2999])).
% 1.94/0.63 fof(f3001,plain,(
% 1.94/0.63 sk_c11=identity|~spl0_5|~spl0_9|~spl0_6|~spl0_8),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f150,f3000])).
% 1.94/0.63 fof(f3002,plain,(
% 1.94/0.63 inverse(identity)=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0),
% 1.94/0.63 inference(backward_demodulation,[status(thm)],[f3001,f131])).
% 1.94/0.63 fof(f3003,plain,(
% 1.94/0.63 identity=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f278,f3002])).
% 1.94/0.63 fof(f3004,plain,(
% 1.94/0.63 identity=sk_c4|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_4),
% 1.94/0.63 inference(backward_demodulation,[status(thm)],[f3001,f2961])).
% 1.94/0.63 fof(f3009,plain,(
% 1.94/0.63 multiply(identity,sk_c9)=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3001,f200])).
% 1.94/0.63 fof(f3010,plain,(
% 1.94/0.63 sk_c9=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f65,f3009])).
% 1.94/0.63 fof(f3011,plain,(
% 1.94/0.63 sk_c9=identity|~spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3003,f3010])).
% 1.94/0.63 fof(f3015,plain,(
% 1.94/0.63 multiply(sk_c3,identity)=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_1),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3001,f134])).
% 1.94/0.63 fof(f3016,plain,(
% 1.94/0.63 sk_c3=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_1),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f297,f3015])).
% 1.94/0.63 fof(f3042,plain,(
% 1.94/0.63 multiply(identity,sk_c10)=sk_c9|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_4|~spl0_3),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3004,f142])).
% 1.94/0.63 fof(f3043,plain,(
% 1.94/0.63 sk_c10=sk_c9|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_4|~spl0_3),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f65,f3042])).
% 1.94/0.63 fof(f3044,plain,(
% 1.94/0.63 identity=sk_c9|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_4|~spl0_3),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3003,f3043])).
% 1.94/0.63 fof(f3045,plain,(
% 1.94/0.63 ![X0]: (~multiply(X0,identity)=sk_c10|~inverse(X0)=sk_c9|~spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_17)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3011,f242])).
% 1.94/0.63 fof(f3046,plain,(
% 1.94/0.63 ![X0]: (~X0=sk_c10|~inverse(X0)=sk_c9|~spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_17)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f297,f3045])).
% 1.94/0.63 fof(f3047,plain,(
% 1.94/0.63 ![X0]: (~X0=identity|~inverse(X0)=sk_c9|~spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_17)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3003,f3046])).
% 1.94/0.63 fof(f3048,plain,(
% 1.94/0.63 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_17)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3011,f3047])).
% 1.94/0.63 fof(f3049,plain,(
% 1.94/0.63 ~inverse(identity)=identity|~spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_17),
% 1.94/0.63 inference(destructive_equality_resolution,[status(esa)],[f3048])).
% 1.94/0.63 fof(f3050,plain,(
% 1.94/0.63 $false|~spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_17),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f3049,f278])).
% 1.94/0.63 fof(f3051,plain,(
% 1.94/0.63 ~spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_13|~spl0_17),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f3050])).
% 1.94/0.63 fof(f3092,plain,(
% 1.94/0.63 ![X0]: (~multiply(X0,identity)=sk_c10|~inverse(X0)=sk_c11|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_16)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3001,f239])).
% 1.94/0.63 fof(f3093,plain,(
% 1.94/0.63 ![X0]: (~X0=sk_c10|~inverse(X0)=sk_c11|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_16)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f297,f3092])).
% 1.94/0.63 fof(f3094,plain,(
% 1.94/0.63 ![X0]: (~X0=identity|~inverse(X0)=sk_c11|~spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_16)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3003,f3093])).
% 1.94/0.63 fof(f3095,plain,(
% 1.94/0.63 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_16)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3001,f3094])).
% 1.94/0.63 fof(f3096,plain,(
% 1.94/0.63 ~inverse(identity)=identity|~spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_16),
% 1.94/0.63 inference(destructive_equality_resolution,[status(esa)],[f3095])).
% 1.94/0.63 fof(f3097,plain,(
% 1.94/0.63 $false|~spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_16),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f3096,f278])).
% 1.94/0.63 fof(f3098,plain,(
% 1.94/0.63 ~spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_16),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f3097])).
% 1.94/0.63 fof(f3099,plain,(
% 1.94/0.63 ![X0]: (~multiply(X0,identity)=sk_c9|~inverse(X0)=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_18)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3003,f245])).
% 1.94/0.63 fof(f3100,plain,(
% 1.94/0.63 ![X0]: (~X0=sk_c9|~inverse(X0)=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_18)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f297,f3099])).
% 1.94/0.63 fof(f3101,plain,(
% 1.94/0.63 ![X0]: (~X0=identity|~inverse(X0)=sk_c10|~spl0_13|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_18)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3011,f3100])).
% 1.94/0.63 fof(f3102,plain,(
% 1.94/0.63 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_13|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_18)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3003,f3101])).
% 1.94/0.63 fof(f3103,plain,(
% 1.94/0.63 ~inverse(identity)=identity|~spl0_13|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_18),
% 1.94/0.63 inference(destructive_equality_resolution,[status(esa)],[f3102])).
% 1.94/0.63 fof(f3104,plain,(
% 1.94/0.63 $false|~spl0_13|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_18),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f3103,f278])).
% 1.94/0.63 fof(f3105,plain,(
% 1.94/0.63 ~spl0_13|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_18),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f3104])).
% 1.94/0.63 fof(f3106,plain,(
% 1.94/0.63 spl0_23 <=> identity=sk_c11),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f3108,plain,(
% 1.94/0.63 ~identity=sk_c11|spl0_23),
% 1.94/0.63 inference(component_clause,[status(thm)],[f3106])).
% 1.94/0.63 fof(f3109,plain,(
% 1.94/0.63 spl0_24 <=> ~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f3110,plain,(
% 1.94/0.63 ![X0,X1]: (~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_24)),
% 1.94/0.63 inference(component_clause,[status(thm)],[f3109])).
% 1.94/0.63 fof(f3112,plain,(
% 1.94/0.63 ~spl0_23|spl0_24|~spl0_19),
% 1.94/0.63 inference(split_clause,[status(thm)],[f1637,f3106,f3109,f247])).
% 1.94/0.63 fof(f3113,plain,(
% 1.94/0.63 ~identity=identity|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_23),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3001,f3108])).
% 1.94/0.63 fof(f3114,plain,(
% 1.94/0.63 $false|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_23),
% 1.94/0.63 inference(trivial_equality_resolution,[status(esa)],[f3113])).
% 1.94/0.63 fof(f3115,plain,(
% 1.94/0.63 ~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_23),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f3114])).
% 1.94/0.63 fof(f3116,plain,(
% 1.94/0.63 ![X0,X1]: (~multiply(inverse(X0),identity)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_24)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3003,f3110])).
% 1.94/0.63 fof(f3117,plain,(
% 1.94/0.63 ![X0,X1]: (~inverse(X0)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_24)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f297,f3116])).
% 1.94/0.63 fof(f3118,plain,(
% 1.94/0.63 ![X0,X1]: (~inverse(X0)=identity|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_24)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3001,f3117])).
% 1.94/0.63 fof(f3119,plain,(
% 1.94/0.63 ![X0,X1]: (~inverse(X0)=identity|~X1=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_24)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f299,f3118])).
% 1.94/0.63 fof(f3120,plain,(
% 1.94/0.63 ![X0]: (~inverse(X0)=identity|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_24)),
% 1.94/0.63 inference(destructive_equality_resolution,[status(esa)],[f3119])).
% 1.94/0.63 fof(f3746,plain,(
% 1.94/0.63 ![X0]: (~inverse(X0)=identity|~inverse(multiply(X0,X0))=inverse(inverse(X0))|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_24)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f448,f3120])).
% 1.94/0.63 fof(f3747,plain,(
% 1.94/0.63 ![X0]: (~inverse(X0)=identity|~inverse(multiply(X0,X0))=X0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_24)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f299,f3746])).
% 1.94/0.63 fof(f3767,plain,(
% 1.94/0.63 ~inverse(identity)=identity|~inverse(identity)=identity|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_24),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f65,f3747])).
% 1.94/0.63 fof(f3768,plain,(
% 1.94/0.63 ~spl0_20|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_0|~spl0_24),
% 1.94/0.63 inference(split_clause,[status(thm)],[f3767,f1663,f149,f165,f153,f161,f130,f3109])).
% 1.94/0.63 fof(f3772,plain,(
% 1.94/0.63 ~multiply(identity,sk_c9)=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_13),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3001,f201])).
% 1.94/0.63 fof(f3773,plain,(
% 1.94/0.63 ~sk_c9=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_13),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f65,f3772])).
% 1.94/0.63 fof(f3774,plain,(
% 1.94/0.63 ~sk_c9=identity|~spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_13),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3003,f3773])).
% 1.94/0.63 fof(f3775,plain,(
% 1.94/0.63 ~identity=identity|~spl0_4|~spl0_3|~spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_13),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3044,f3774])).
% 1.94/0.63 fof(f3776,plain,(
% 1.94/0.63 $false|~spl0_4|~spl0_3|~spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_13),
% 1.94/0.63 inference(trivial_equality_resolution,[status(esa)],[f3775])).
% 1.94/0.63 fof(f3777,plain,(
% 1.94/0.63 ~spl0_4|~spl0_3|~spl0_0|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_13),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f3776])).
% 1.94/0.63 fof(f3779,plain,(
% 1.94/0.63 multiply(sk_c3,identity)=identity|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3001,f1749])).
% 1.94/0.63 fof(f3780,plain,(
% 1.94/0.63 sk_c3=identity|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_2),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f297,f3779])).
% 1.94/0.63 fof(f3787,plain,(
% 1.94/0.63 ~inverse(identity)=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_0),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3001,f132])).
% 1.94/0.63 fof(f3788,plain,(
% 1.94/0.63 ~identity=sk_c10|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_0),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f278,f3787])).
% 1.94/0.63 fof(f3789,plain,(
% 1.94/0.63 identity=sk_c10|~spl0_2|~spl0_5|~spl0_9|~spl0_6|~spl0_8|~spl0_1),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3780,f3016])).
% 1.94/0.63 fof(f3790,plain,(
% 1.94/0.63 ~identity=identity|~spl0_2|~spl0_1|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_0),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3789,f3788])).
% 1.94/0.63 fof(f3791,plain,(
% 1.94/0.63 $false|~spl0_2|~spl0_1|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_0),
% 1.94/0.63 inference(trivial_equality_resolution,[status(esa)],[f3790])).
% 1.94/0.63 fof(f3792,plain,(
% 1.94/0.63 ~spl0_2|~spl0_1|~spl0_5|~spl0_9|~spl0_6|~spl0_8|spl0_0),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f3791])).
% 1.94/0.63 fof(f3794,plain,(
% 1.94/0.63 ~inverse(sk_c9)=sk_c10|~spl0_14|~spl0_15|~spl0_18),
% 1.94/0.63 inference(destructive_equality_resolution,[status(esa)],[f1704])).
% 1.94/0.63 fof(f3808,plain,(
% 1.94/0.63 multiply(identity,sk_c11)=sk_c10|~spl0_0|~spl0_14|~spl0_15|~spl0_11),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f2494,f174])).
% 1.94/0.63 fof(f3809,plain,(
% 1.94/0.63 sk_c11=sk_c10|~spl0_0|~spl0_14|~spl0_15|~spl0_11),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f65,f3808])).
% 1.94/0.63 fof(f3811,plain,(
% 1.94/0.63 multiply(identity,sk_c11)=identity|~spl0_0|~spl0_14|~spl0_15|~spl0_11),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f2494,f797])).
% 1.94/0.63 fof(f3812,plain,(
% 1.94/0.63 sk_c11=identity|~spl0_0|~spl0_14|~spl0_15|~spl0_11),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f65,f3811])).
% 1.94/0.63 fof(f3813,plain,(
% 1.94/0.63 identity=sk_c10|~spl0_0|~spl0_14|~spl0_15|~spl0_11),
% 1.94/0.63 inference(backward_demodulation,[status(thm)],[f3812,f3809])).
% 1.94/0.63 fof(f5757,plain,(
% 1.94/0.63 ~inverse(identity)=sk_c10|~spl0_0|~spl0_13|~spl0_14|~spl0_15|~spl0_18),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f1824,f3794])).
% 1.94/0.63 fof(f5758,plain,(
% 1.94/0.63 ~identity=sk_c10|~spl0_0|~spl0_13|~spl0_14|~spl0_15|~spl0_18),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f278,f5757])).
% 1.94/0.63 fof(f5759,plain,(
% 1.94/0.63 $false|~spl0_13|~spl0_18|~spl0_0|~spl0_14|~spl0_15|~spl0_11),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f3813,f5758])).
% 1.94/0.63 fof(f5760,plain,(
% 1.94/0.63 ~spl0_13|~spl0_18|~spl0_0|~spl0_14|~spl0_15|~spl0_11),
% 1.94/0.64 inference(contradiction_clause,[status(thm)],[f5759])).
% 1.94/0.64 fof(f5761,plain,(
% 1.94/0.64 $false),
% 1.94/0.64 inference(sat_refutation,[status(thm)],[f136,f140,f152,f156,f164,f168,f178,f179,f180,f181,f183,f184,f191,f192,f193,f194,f196,f197,f202,f204,f205,f206,f207,f209,f210,f215,f216,f217,f218,f219,f220,f221,f222,f223,f228,f229,f230,f231,f232,f233,f234,f235,f236,f250,f1670,f1694,f1699,f1702,f1709,f1720,f2504,f3051,f3098,f3105,f3112,f3115,f3768,f3777,f3792,f5760])).
% 1.94/0.64 % SZS output end CNFRefutation for theBenchmark.p
% 2.20/0.66 % Elapsed time: 0.298508 seconds
% 2.20/0.66 % CPU time: 2.196402 seconds
% 2.20/0.66 % Total memory used: 93.446 MB
% 2.20/0.66 % Net memory used: 92.031 MB
%------------------------------------------------------------------------------