TSTP Solution File: GRP318-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP318-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:11:19 EDT 2023
% Result : Unsatisfiable 0.14s 0.46s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP318-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30 % Computer : n026.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Tue May 30 11:44:13 EDT 2023
% 0.08/0.30 % CPUTime :
% 0.08/0.31 % Drodi V3.5.1
% 0.14/0.46 % Refutation found
% 0.14/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.46 fof(f1,axiom,(
% 0.14/0.46 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f2,axiom,(
% 0.14/0.46 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f3,axiom,(
% 0.14/0.46 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f4,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c11,sk_c12) = sk_c10| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f5,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c11,sk_c12) = sk_c10| inverse(sk_c4) = sk_c12 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f6,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c11,sk_c12) = sk_c10| multiply(sk_c5,sk_c11) = sk_c10 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f7,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c11,sk_c12) = sk_c10| inverse(sk_c5) = sk_c11 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f8,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c11,sk_c12) = sk_c10| multiply(sk_c6,sk_c9) = sk_c12 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f9,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c11,sk_c12) = sk_c10| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f12,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c11,sk_c12) = sk_c10| inverse(sk_c7) = sk_c9 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f14,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c1,sk_c11) = sk_c12| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f15,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c1,sk_c11) = sk_c12| inverse(sk_c4) = sk_c12 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f16,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c1,sk_c11) = sk_c12| multiply(sk_c5,sk_c11) = sk_c10 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f17,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c1,sk_c11) = sk_c12| inverse(sk_c5) = sk_c11 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f18,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c1,sk_c11) = sk_c12| multiply(sk_c6,sk_c9) = sk_c12 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f19,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c1,sk_c11) = sk_c12| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f22,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c1,sk_c11) = sk_c12| inverse(sk_c7) = sk_c9 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f24,negated_conjecture,(
% 0.14/0.46 ( inverse(sk_c1) = sk_c11| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f25,negated_conjecture,(
% 0.14/0.46 ( inverse(sk_c1) = sk_c11| inverse(sk_c4) = sk_c12 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f26,negated_conjecture,(
% 0.14/0.46 ( inverse(sk_c1) = sk_c11| multiply(sk_c5,sk_c11) = sk_c10 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f27,negated_conjecture,(
% 0.14/0.46 ( inverse(sk_c1) = sk_c11| inverse(sk_c5) = sk_c11 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f28,negated_conjecture,(
% 0.14/0.46 ( inverse(sk_c1) = sk_c11| multiply(sk_c6,sk_c9) = sk_c12 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f29,negated_conjecture,(
% 0.14/0.46 ( inverse(sk_c1) = sk_c11| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f32,negated_conjecture,(
% 0.14/0.46 ( inverse(sk_c1) = sk_c11| inverse(sk_c7) = sk_c9 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f34,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c12,sk_c3) = sk_c11| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f35,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c12,sk_c3) = sk_c11| inverse(sk_c4) = sk_c12 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f36,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c12,sk_c3) = sk_c11| multiply(sk_c5,sk_c11) = sk_c10 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f37,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c12,sk_c3) = sk_c11| inverse(sk_c5) = sk_c11 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f38,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c12,sk_c3) = sk_c11| multiply(sk_c6,sk_c9) = sk_c12 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f39,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c12,sk_c3) = sk_c11| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f42,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c12,sk_c3) = sk_c11| inverse(sk_c7) = sk_c9 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f44,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c2,sk_c12) = sk_c3| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f45,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c2,sk_c12) = sk_c3| inverse(sk_c4) = sk_c12 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f46,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c2,sk_c12) = sk_c3| multiply(sk_c5,sk_c11) = sk_c10 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f47,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c2,sk_c12) = sk_c3| inverse(sk_c5) = sk_c11 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f48,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c2,sk_c12) = sk_c3| multiply(sk_c6,sk_c9) = sk_c12 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f49,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c2,sk_c12) = sk_c3| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f52,negated_conjecture,(
% 0.14/0.46 ( multiply(sk_c2,sk_c12) = sk_c3| inverse(sk_c7) = sk_c9 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f54,negated_conjecture,(
% 0.14/0.46 ( inverse(sk_c2) = sk_c12| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f55,negated_conjecture,(
% 0.14/0.46 ( inverse(sk_c2) = sk_c12| inverse(sk_c4) = sk_c12 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f56,negated_conjecture,(
% 0.14/0.46 ( inverse(sk_c2) = sk_c12| multiply(sk_c5,sk_c11) = sk_c10 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f57,negated_conjecture,(
% 0.14/0.46 ( inverse(sk_c2) = sk_c12| inverse(sk_c5) = sk_c11 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f58,negated_conjecture,(
% 0.14/0.46 ( inverse(sk_c2) = sk_c12| multiply(sk_c6,sk_c9) = sk_c12 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f59,negated_conjecture,(
% 0.14/0.46 ( inverse(sk_c2) = sk_c12| inverse(sk_c6) = sk_c9 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f62,negated_conjecture,(
% 0.14/0.46 ( inverse(sk_c2) = sk_c12| inverse(sk_c7) = sk_c9 ) ),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f64,negated_conjecture,(
% 0.14/0.46 (![X4,X5,X6,X1,X2,X7,X3,X8,X9]: (( multiply(sk_c11,sk_c12) != sk_c10| multiply(X4,sk_c11) != sk_c12| inverse(X4) != sk_c11| multiply(sk_c12,X5) != sk_c11| multiply(X6,sk_c12) != X5| inverse(X6) != sk_c12| multiply(X1,sk_c12) != sk_c11| inverse(X1) != sk_c12| multiply(X2,sk_c11) != sk_c10| inverse(X2) != sk_c11| multiply(X7,X3) != sk_c12| inverse(X7) != X3| multiply(X3,sk_c11) != sk_c12| inverse(X8) != X9| inverse(X9) != X3| multiply(X8,X3) != X9 ) ))),
% 0.14/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.46 fof(f65,plain,(
% 0.14/0.46 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.46 fof(f66,plain,(
% 0.14/0.46 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.46 fof(f67,plain,(
% 0.14/0.46 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.46 fof(f68,plain,(
% 0.14/0.46 multiply(sk_c11,sk_c12)=sk_c10|multiply(sk_c4,sk_c12)=sk_c11),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.46 fof(f69,plain,(
% 0.14/0.46 multiply(sk_c11,sk_c12)=sk_c10|inverse(sk_c4)=sk_c12),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.46 fof(f70,plain,(
% 0.14/0.46 multiply(sk_c11,sk_c12)=sk_c10|multiply(sk_c5,sk_c11)=sk_c10),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.46 fof(f71,plain,(
% 0.14/0.46 multiply(sk_c11,sk_c12)=sk_c10|inverse(sk_c5)=sk_c11),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f7])).
% 0.14/0.46 fof(f72,plain,(
% 0.14/0.46 multiply(sk_c11,sk_c12)=sk_c10|multiply(sk_c6,sk_c9)=sk_c12),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.46 fof(f73,plain,(
% 0.14/0.46 multiply(sk_c11,sk_c12)=sk_c10|inverse(sk_c6)=sk_c9),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.46 fof(f76,plain,(
% 0.14/0.46 multiply(sk_c11,sk_c12)=sk_c10|inverse(sk_c7)=sk_c9),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.46 fof(f78,plain,(
% 0.14/0.46 multiply(sk_c1,sk_c11)=sk_c12|multiply(sk_c4,sk_c12)=sk_c11),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f14])).
% 0.14/0.46 fof(f79,plain,(
% 0.14/0.46 multiply(sk_c1,sk_c11)=sk_c12|inverse(sk_c4)=sk_c12),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f15])).
% 0.14/0.46 fof(f80,plain,(
% 0.14/0.46 multiply(sk_c1,sk_c11)=sk_c12|multiply(sk_c5,sk_c11)=sk_c10),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f16])).
% 0.14/0.46 fof(f81,plain,(
% 0.14/0.46 multiply(sk_c1,sk_c11)=sk_c12|inverse(sk_c5)=sk_c11),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f17])).
% 0.14/0.46 fof(f82,plain,(
% 0.14/0.46 multiply(sk_c1,sk_c11)=sk_c12|multiply(sk_c6,sk_c9)=sk_c12),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f18])).
% 0.14/0.46 fof(f83,plain,(
% 0.14/0.46 multiply(sk_c1,sk_c11)=sk_c12|inverse(sk_c6)=sk_c9),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f19])).
% 0.14/0.46 fof(f86,plain,(
% 0.14/0.46 multiply(sk_c1,sk_c11)=sk_c12|inverse(sk_c7)=sk_c9),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f22])).
% 0.14/0.46 fof(f88,plain,(
% 0.14/0.46 inverse(sk_c1)=sk_c11|multiply(sk_c4,sk_c12)=sk_c11),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f24])).
% 0.14/0.46 fof(f89,plain,(
% 0.14/0.46 inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c12),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f25])).
% 0.14/0.46 fof(f90,plain,(
% 0.14/0.46 inverse(sk_c1)=sk_c11|multiply(sk_c5,sk_c11)=sk_c10),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f26])).
% 0.14/0.46 fof(f91,plain,(
% 0.14/0.46 inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c11),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f27])).
% 0.14/0.46 fof(f92,plain,(
% 0.14/0.46 inverse(sk_c1)=sk_c11|multiply(sk_c6,sk_c9)=sk_c12),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f28])).
% 0.14/0.46 fof(f93,plain,(
% 0.14/0.46 inverse(sk_c1)=sk_c11|inverse(sk_c6)=sk_c9),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f29])).
% 0.14/0.46 fof(f96,plain,(
% 0.14/0.46 inverse(sk_c1)=sk_c11|inverse(sk_c7)=sk_c9),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f32])).
% 0.14/0.46 fof(f98,plain,(
% 0.14/0.46 multiply(sk_c12,sk_c3)=sk_c11|multiply(sk_c4,sk_c12)=sk_c11),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f34])).
% 0.14/0.46 fof(f99,plain,(
% 0.14/0.46 multiply(sk_c12,sk_c3)=sk_c11|inverse(sk_c4)=sk_c12),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f35])).
% 0.14/0.46 fof(f100,plain,(
% 0.14/0.46 multiply(sk_c12,sk_c3)=sk_c11|multiply(sk_c5,sk_c11)=sk_c10),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f36])).
% 0.14/0.46 fof(f101,plain,(
% 0.14/0.46 multiply(sk_c12,sk_c3)=sk_c11|inverse(sk_c5)=sk_c11),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f37])).
% 0.14/0.46 fof(f102,plain,(
% 0.14/0.46 multiply(sk_c12,sk_c3)=sk_c11|multiply(sk_c6,sk_c9)=sk_c12),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f38])).
% 0.14/0.46 fof(f103,plain,(
% 0.14/0.46 multiply(sk_c12,sk_c3)=sk_c11|inverse(sk_c6)=sk_c9),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f39])).
% 0.14/0.46 fof(f106,plain,(
% 0.14/0.46 multiply(sk_c12,sk_c3)=sk_c11|inverse(sk_c7)=sk_c9),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f42])).
% 0.14/0.46 fof(f108,plain,(
% 0.14/0.46 multiply(sk_c2,sk_c12)=sk_c3|multiply(sk_c4,sk_c12)=sk_c11),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f44])).
% 0.14/0.46 fof(f109,plain,(
% 0.14/0.46 multiply(sk_c2,sk_c12)=sk_c3|inverse(sk_c4)=sk_c12),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f45])).
% 0.14/0.46 fof(f110,plain,(
% 0.14/0.46 multiply(sk_c2,sk_c12)=sk_c3|multiply(sk_c5,sk_c11)=sk_c10),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f46])).
% 0.14/0.46 fof(f111,plain,(
% 0.14/0.46 multiply(sk_c2,sk_c12)=sk_c3|inverse(sk_c5)=sk_c11),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f47])).
% 0.14/0.46 fof(f112,plain,(
% 0.14/0.46 multiply(sk_c2,sk_c12)=sk_c3|multiply(sk_c6,sk_c9)=sk_c12),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f48])).
% 0.14/0.46 fof(f113,plain,(
% 0.14/0.46 multiply(sk_c2,sk_c12)=sk_c3|inverse(sk_c6)=sk_c9),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f49])).
% 0.14/0.46 fof(f116,plain,(
% 0.14/0.46 multiply(sk_c2,sk_c12)=sk_c3|inverse(sk_c7)=sk_c9),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f52])).
% 0.14/0.46 fof(f118,plain,(
% 0.14/0.46 inverse(sk_c2)=sk_c12|multiply(sk_c4,sk_c12)=sk_c11),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f54])).
% 0.14/0.46 fof(f119,plain,(
% 0.14/0.46 inverse(sk_c2)=sk_c12|inverse(sk_c4)=sk_c12),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f55])).
% 0.14/0.46 fof(f120,plain,(
% 0.14/0.46 inverse(sk_c2)=sk_c12|multiply(sk_c5,sk_c11)=sk_c10),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f56])).
% 0.14/0.46 fof(f121,plain,(
% 0.14/0.46 inverse(sk_c2)=sk_c12|inverse(sk_c5)=sk_c11),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f57])).
% 0.14/0.46 fof(f122,plain,(
% 0.14/0.46 inverse(sk_c2)=sk_c12|multiply(sk_c6,sk_c9)=sk_c12),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f58])).
% 0.14/0.46 fof(f123,plain,(
% 0.14/0.46 inverse(sk_c2)=sk_c12|inverse(sk_c6)=sk_c9),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f59])).
% 0.14/0.46 fof(f126,plain,(
% 0.14/0.46 inverse(sk_c2)=sk_c12|inverse(sk_c7)=sk_c9),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f62])).
% 0.14/0.46 fof(f128,plain,(
% 0.14/0.46 ![X3,X8,X9]: (((((![X7]: (((![X2]: (((![X1]: (((![X6]: ((![X5]: (((![X4]: ((~multiply(sk_c11,sk_c12)=sk_c10|~multiply(X4,sk_c11)=sk_c12)|~inverse(X4)=sk_c11))|~multiply(sk_c12,X5)=sk_c11)|~multiply(X6,sk_c12)=X5))|~inverse(X6)=sk_c12))|~multiply(X1,sk_c12)=sk_c11)|~inverse(X1)=sk_c12))|~multiply(X2,sk_c11)=sk_c10)|~inverse(X2)=sk_c11))|~multiply(X7,X3)=sk_c12)|~inverse(X7)=X3))|~multiply(X3,sk_c11)=sk_c12)|~inverse(X8)=X9)|~inverse(X9)=X3)|~multiply(X8,X3)=X9)),
% 0.14/0.46 inference(miniscoping,[status(esa)],[f64])).
% 0.14/0.46 fof(f129,plain,(
% 0.14/0.46 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~multiply(sk_c11,sk_c12)=sk_c10|~multiply(X0,sk_c11)=sk_c12|~inverse(X0)=sk_c11|~multiply(sk_c12,X1)=sk_c11|~multiply(X2,sk_c12)=X1|~inverse(X2)=sk_c12|~multiply(X3,sk_c12)=sk_c11|~inverse(X3)=sk_c12|~multiply(X4,sk_c11)=sk_c10|~inverse(X4)=sk_c11|~multiply(X5,X6)=sk_c12|~inverse(X5)=X6|~multiply(X6,sk_c11)=sk_c12|~inverse(X7)=X8|~inverse(X8)=X6|~multiply(X7,X6)=X8)),
% 0.14/0.46 inference(cnf_transformation,[status(esa)],[f128])).
% 0.14/0.46 fof(f130,plain,(
% 0.14/0.46 spl0_0 <=> multiply(sk_c11,sk_c12)=sk_c10),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f131,plain,(
% 0.14/0.46 multiply(sk_c11,sk_c12)=sk_c10|~spl0_0),
% 0.14/0.46 inference(component_clause,[status(thm)],[f130])).
% 0.14/0.46 fof(f132,plain,(
% 0.14/0.46 ~multiply(sk_c11,sk_c12)=sk_c10|spl0_0),
% 0.14/0.46 inference(component_clause,[status(thm)],[f130])).
% 0.14/0.46 fof(f133,plain,(
% 0.14/0.46 spl0_1 <=> multiply(sk_c4,sk_c12)=sk_c11),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f134,plain,(
% 0.14/0.46 multiply(sk_c4,sk_c12)=sk_c11|~spl0_1),
% 0.14/0.46 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.46 fof(f136,plain,(
% 0.14/0.46 spl0_0|spl0_1),
% 0.14/0.46 inference(split_clause,[status(thm)],[f68,f130,f133])).
% 0.14/0.46 fof(f137,plain,(
% 0.14/0.46 spl0_2 <=> inverse(sk_c4)=sk_c12),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f138,plain,(
% 0.14/0.46 inverse(sk_c4)=sk_c12|~spl0_2),
% 0.14/0.46 inference(component_clause,[status(thm)],[f137])).
% 0.14/0.46 fof(f140,plain,(
% 0.14/0.46 spl0_0|spl0_2),
% 0.14/0.46 inference(split_clause,[status(thm)],[f69,f130,f137])).
% 0.14/0.46 fof(f141,plain,(
% 0.14/0.46 spl0_3 <=> multiply(sk_c5,sk_c11)=sk_c10),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f142,plain,(
% 0.14/0.46 multiply(sk_c5,sk_c11)=sk_c10|~spl0_3),
% 0.14/0.46 inference(component_clause,[status(thm)],[f141])).
% 0.14/0.46 fof(f144,plain,(
% 0.14/0.46 spl0_0|spl0_3),
% 0.14/0.46 inference(split_clause,[status(thm)],[f70,f130,f141])).
% 0.14/0.46 fof(f145,plain,(
% 0.14/0.46 spl0_4 <=> inverse(sk_c5)=sk_c11),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f146,plain,(
% 0.14/0.46 inverse(sk_c5)=sk_c11|~spl0_4),
% 0.14/0.46 inference(component_clause,[status(thm)],[f145])).
% 0.14/0.46 fof(f148,plain,(
% 0.14/0.46 spl0_0|spl0_4),
% 0.14/0.46 inference(split_clause,[status(thm)],[f71,f130,f145])).
% 0.14/0.46 fof(f149,plain,(
% 0.14/0.46 spl0_5 <=> multiply(sk_c6,sk_c9)=sk_c12),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f150,plain,(
% 0.14/0.46 multiply(sk_c6,sk_c9)=sk_c12|~spl0_5),
% 0.14/0.46 inference(component_clause,[status(thm)],[f149])).
% 0.14/0.46 fof(f152,plain,(
% 0.14/0.46 spl0_0|spl0_5),
% 0.14/0.46 inference(split_clause,[status(thm)],[f72,f130,f149])).
% 0.14/0.46 fof(f153,plain,(
% 0.14/0.46 spl0_6 <=> inverse(sk_c6)=sk_c9),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f154,plain,(
% 0.14/0.46 inverse(sk_c6)=sk_c9|~spl0_6),
% 0.14/0.46 inference(component_clause,[status(thm)],[f153])).
% 0.14/0.46 fof(f156,plain,(
% 0.14/0.46 spl0_0|spl0_6),
% 0.14/0.46 inference(split_clause,[status(thm)],[f73,f130,f153])).
% 0.14/0.46 fof(f165,plain,(
% 0.14/0.46 spl0_9 <=> inverse(sk_c7)=sk_c9),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f166,plain,(
% 0.14/0.46 inverse(sk_c7)=sk_c9|~spl0_9),
% 0.14/0.46 inference(component_clause,[status(thm)],[f165])).
% 0.14/0.46 fof(f168,plain,(
% 0.14/0.46 spl0_0|spl0_9),
% 0.14/0.46 inference(split_clause,[status(thm)],[f76,f130,f165])).
% 0.14/0.46 fof(f173,plain,(
% 0.14/0.46 spl0_11 <=> multiply(sk_c1,sk_c11)=sk_c12),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f174,plain,(
% 0.14/0.46 multiply(sk_c1,sk_c11)=sk_c12|~spl0_11),
% 0.14/0.46 inference(component_clause,[status(thm)],[f173])).
% 0.14/0.46 fof(f176,plain,(
% 0.14/0.46 spl0_11|spl0_1),
% 0.14/0.46 inference(split_clause,[status(thm)],[f78,f173,f133])).
% 0.14/0.46 fof(f177,plain,(
% 0.14/0.46 spl0_11|spl0_2),
% 0.14/0.46 inference(split_clause,[status(thm)],[f79,f173,f137])).
% 0.14/0.46 fof(f178,plain,(
% 0.14/0.46 spl0_11|spl0_3),
% 0.14/0.46 inference(split_clause,[status(thm)],[f80,f173,f141])).
% 0.14/0.46 fof(f179,plain,(
% 0.14/0.46 spl0_11|spl0_4),
% 0.14/0.46 inference(split_clause,[status(thm)],[f81,f173,f145])).
% 0.14/0.46 fof(f180,plain,(
% 0.14/0.46 spl0_11|spl0_5),
% 0.14/0.46 inference(split_clause,[status(thm)],[f82,f173,f149])).
% 0.14/0.46 fof(f181,plain,(
% 0.14/0.46 spl0_11|spl0_6),
% 0.14/0.46 inference(split_clause,[status(thm)],[f83,f173,f153])).
% 0.14/0.46 fof(f184,plain,(
% 0.14/0.46 spl0_11|spl0_9),
% 0.14/0.46 inference(split_clause,[status(thm)],[f86,f173,f165])).
% 0.14/0.46 fof(f186,plain,(
% 0.14/0.46 spl0_12 <=> inverse(sk_c1)=sk_c11),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f187,plain,(
% 0.14/0.46 inverse(sk_c1)=sk_c11|~spl0_12),
% 0.14/0.46 inference(component_clause,[status(thm)],[f186])).
% 0.14/0.46 fof(f189,plain,(
% 0.14/0.46 spl0_12|spl0_1),
% 0.14/0.46 inference(split_clause,[status(thm)],[f88,f186,f133])).
% 0.14/0.46 fof(f190,plain,(
% 0.14/0.46 spl0_12|spl0_2),
% 0.14/0.46 inference(split_clause,[status(thm)],[f89,f186,f137])).
% 0.14/0.46 fof(f191,plain,(
% 0.14/0.46 spl0_12|spl0_3),
% 0.14/0.46 inference(split_clause,[status(thm)],[f90,f186,f141])).
% 0.14/0.46 fof(f192,plain,(
% 0.14/0.46 spl0_12|spl0_4),
% 0.14/0.46 inference(split_clause,[status(thm)],[f91,f186,f145])).
% 0.14/0.46 fof(f193,plain,(
% 0.14/0.46 spl0_12|spl0_5),
% 0.14/0.46 inference(split_clause,[status(thm)],[f92,f186,f149])).
% 0.14/0.46 fof(f194,plain,(
% 0.14/0.46 spl0_12|spl0_6),
% 0.14/0.46 inference(split_clause,[status(thm)],[f93,f186,f153])).
% 0.14/0.46 fof(f197,plain,(
% 0.14/0.46 spl0_12|spl0_9),
% 0.14/0.46 inference(split_clause,[status(thm)],[f96,f186,f165])).
% 0.14/0.46 fof(f199,plain,(
% 0.14/0.46 spl0_13 <=> multiply(sk_c12,sk_c3)=sk_c11),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f200,plain,(
% 0.14/0.46 multiply(sk_c12,sk_c3)=sk_c11|~spl0_13),
% 0.14/0.46 inference(component_clause,[status(thm)],[f199])).
% 0.14/0.46 fof(f202,plain,(
% 0.14/0.46 spl0_13|spl0_1),
% 0.14/0.46 inference(split_clause,[status(thm)],[f98,f199,f133])).
% 0.14/0.46 fof(f203,plain,(
% 0.14/0.46 spl0_13|spl0_2),
% 0.14/0.46 inference(split_clause,[status(thm)],[f99,f199,f137])).
% 0.14/0.46 fof(f204,plain,(
% 0.14/0.46 spl0_13|spl0_3),
% 0.14/0.46 inference(split_clause,[status(thm)],[f100,f199,f141])).
% 0.14/0.46 fof(f205,plain,(
% 0.14/0.46 spl0_13|spl0_4),
% 0.14/0.46 inference(split_clause,[status(thm)],[f101,f199,f145])).
% 0.14/0.46 fof(f206,plain,(
% 0.14/0.46 spl0_13|spl0_5),
% 0.14/0.46 inference(split_clause,[status(thm)],[f102,f199,f149])).
% 0.14/0.46 fof(f207,plain,(
% 0.14/0.46 spl0_13|spl0_6),
% 0.14/0.46 inference(split_clause,[status(thm)],[f103,f199,f153])).
% 0.14/0.46 fof(f210,plain,(
% 0.14/0.46 spl0_13|spl0_9),
% 0.14/0.46 inference(split_clause,[status(thm)],[f106,f199,f165])).
% 0.14/0.46 fof(f212,plain,(
% 0.14/0.46 spl0_14 <=> multiply(sk_c2,sk_c12)=sk_c3),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f213,plain,(
% 0.14/0.46 multiply(sk_c2,sk_c12)=sk_c3|~spl0_14),
% 0.14/0.46 inference(component_clause,[status(thm)],[f212])).
% 0.14/0.46 fof(f215,plain,(
% 0.14/0.46 spl0_14|spl0_1),
% 0.14/0.46 inference(split_clause,[status(thm)],[f108,f212,f133])).
% 0.14/0.46 fof(f216,plain,(
% 0.14/0.46 spl0_14|spl0_2),
% 0.14/0.46 inference(split_clause,[status(thm)],[f109,f212,f137])).
% 0.14/0.46 fof(f217,plain,(
% 0.14/0.46 spl0_14|spl0_3),
% 0.14/0.46 inference(split_clause,[status(thm)],[f110,f212,f141])).
% 0.14/0.46 fof(f218,plain,(
% 0.14/0.46 spl0_14|spl0_4),
% 0.14/0.46 inference(split_clause,[status(thm)],[f111,f212,f145])).
% 0.14/0.46 fof(f219,plain,(
% 0.14/0.46 spl0_14|spl0_5),
% 0.14/0.46 inference(split_clause,[status(thm)],[f112,f212,f149])).
% 0.14/0.46 fof(f220,plain,(
% 0.14/0.46 spl0_14|spl0_6),
% 0.14/0.46 inference(split_clause,[status(thm)],[f113,f212,f153])).
% 0.14/0.46 fof(f223,plain,(
% 0.14/0.46 spl0_14|spl0_9),
% 0.14/0.46 inference(split_clause,[status(thm)],[f116,f212,f165])).
% 0.14/0.46 fof(f225,plain,(
% 0.14/0.46 spl0_15 <=> inverse(sk_c2)=sk_c12),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f226,plain,(
% 0.14/0.46 inverse(sk_c2)=sk_c12|~spl0_15),
% 0.14/0.46 inference(component_clause,[status(thm)],[f225])).
% 0.14/0.46 fof(f228,plain,(
% 0.14/0.46 spl0_15|spl0_1),
% 0.14/0.46 inference(split_clause,[status(thm)],[f118,f225,f133])).
% 0.14/0.46 fof(f229,plain,(
% 0.14/0.46 spl0_15|spl0_2),
% 0.14/0.46 inference(split_clause,[status(thm)],[f119,f225,f137])).
% 0.14/0.46 fof(f230,plain,(
% 0.14/0.46 spl0_15|spl0_3),
% 0.14/0.46 inference(split_clause,[status(thm)],[f120,f225,f141])).
% 0.14/0.46 fof(f231,plain,(
% 0.14/0.46 spl0_15|spl0_4),
% 0.14/0.46 inference(split_clause,[status(thm)],[f121,f225,f145])).
% 0.14/0.46 fof(f232,plain,(
% 0.14/0.46 spl0_15|spl0_5),
% 0.14/0.46 inference(split_clause,[status(thm)],[f122,f225,f149])).
% 0.14/0.46 fof(f233,plain,(
% 0.14/0.46 spl0_15|spl0_6),
% 0.14/0.46 inference(split_clause,[status(thm)],[f123,f225,f153])).
% 0.14/0.46 fof(f236,plain,(
% 0.14/0.46 spl0_15|spl0_9),
% 0.14/0.46 inference(split_clause,[status(thm)],[f126,f225,f165])).
% 0.14/0.46 fof(f238,plain,(
% 0.14/0.46 spl0_16 <=> ~multiply(X0,sk_c11)=sk_c12|~inverse(X0)=sk_c11),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f239,plain,(
% 0.14/0.46 ![X0]: (~multiply(X0,sk_c11)=sk_c12|~inverse(X0)=sk_c11|~spl0_16)),
% 0.14/0.46 inference(component_clause,[status(thm)],[f238])).
% 0.14/0.46 fof(f241,plain,(
% 0.14/0.46 spl0_17 <=> ~multiply(sk_c12,X1)=sk_c11|~multiply(X2,sk_c12)=X1|~inverse(X2)=sk_c12),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f242,plain,(
% 0.14/0.46 ![X0,X1]: (~multiply(sk_c12,X0)=sk_c11|~multiply(X1,sk_c12)=X0|~inverse(X1)=sk_c12|~spl0_17)),
% 0.14/0.46 inference(component_clause,[status(thm)],[f241])).
% 0.14/0.46 fof(f244,plain,(
% 0.14/0.46 spl0_18 <=> ~multiply(X3,sk_c12)=sk_c11|~inverse(X3)=sk_c12),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f245,plain,(
% 0.14/0.46 ![X0]: (~multiply(X0,sk_c12)=sk_c11|~inverse(X0)=sk_c12|~spl0_18)),
% 0.14/0.46 inference(component_clause,[status(thm)],[f244])).
% 0.14/0.46 fof(f247,plain,(
% 0.14/0.46 spl0_19 <=> ~multiply(X4,sk_c11)=sk_c10|~inverse(X4)=sk_c11),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f248,plain,(
% 0.14/0.46 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~spl0_19)),
% 0.14/0.46 inference(component_clause,[status(thm)],[f247])).
% 0.14/0.46 fof(f250,plain,(
% 0.14/0.46 spl0_20 <=> ~multiply(X5,X6)=sk_c12|~inverse(X5)=X6|~multiply(X6,sk_c11)=sk_c12|~inverse(X7)=X8|~inverse(X8)=X6|~multiply(X7,X6)=X8),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f251,plain,(
% 0.14/0.46 ![X0,X1,X2,X3]: (~multiply(X0,X1)=sk_c12|~inverse(X0)=X1|~multiply(X1,sk_c11)=sk_c12|~inverse(X2)=X3|~inverse(X3)=X1|~multiply(X2,X1)=X3|~spl0_20)),
% 0.14/0.46 inference(component_clause,[status(thm)],[f250])).
% 0.14/0.46 fof(f253,plain,(
% 0.14/0.46 ~spl0_0|spl0_16|spl0_17|spl0_18|spl0_19|spl0_20),
% 0.14/0.46 inference(split_clause,[status(thm)],[f129,f130,f238,f241,f244,f247,f250])).
% 0.14/0.46 fof(f254,plain,(
% 0.14/0.46 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c12|~multiply(inverse(X0),sk_c11)=sk_c12|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_20)),
% 0.14/0.46 inference(destructive_equality_resolution,[status(esa)],[f251])).
% 0.14/0.46 fof(f259,plain,(
% 0.14/0.46 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f66,f67])).
% 0.14/0.46 fof(f260,plain,(
% 0.14/0.46 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f65,f259])).
% 0.14/0.46 fof(f261,plain,(
% 0.14/0.46 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f260,f260])).
% 0.14/0.46 fof(f262,plain,(
% 0.14/0.46 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f66,f260])).
% 0.14/0.46 fof(f264,plain,(
% 0.14/0.46 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f67,f260])).
% 0.14/0.46 fof(f272,plain,(
% 0.14/0.46 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f66,f261])).
% 0.14/0.46 fof(f281,plain,(
% 0.14/0.46 inverse(identity)=identity),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f65,f272])).
% 0.14/0.46 fof(f300,plain,(
% 0.14/0.46 ![X0]: (X0=multiply(X0,identity))),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f261,f262])).
% 0.14/0.46 fof(f301,plain,(
% 0.14/0.46 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f261,f300])).
% 0.14/0.46 fof(f302,plain,(
% 0.14/0.46 ![X0]: (inverse(inverse(X0))=X0)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f300,f301])).
% 0.14/0.46 fof(f353,plain,(
% 0.14/0.46 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f272,f264])).
% 0.14/0.46 fof(f354,plain,(
% 0.14/0.46 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f300,f353])).
% 0.14/0.46 fof(f451,plain,(
% 0.14/0.46 ![X0,X1]: (inverse(multiply(X0,X1))=multiply(inverse(X1),inverse(X0)))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f260,f354])).
% 0.14/0.46 fof(f727,plain,(
% 0.14/0.46 inverse(sk_c12)=sk_c2|~spl0_15),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f226,f302])).
% 0.14/0.46 fof(f733,plain,(
% 0.14/0.46 multiply(sk_c1,sk_c11)=identity|~spl0_12),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f187,f272])).
% 0.14/0.46 fof(f737,plain,(
% 0.14/0.46 inverse(sk_c9)=sk_c7|~spl0_9),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f166,f302])).
% 0.14/0.46 fof(f738,plain,(
% 0.14/0.46 multiply(sk_c7,sk_c9)=identity|~spl0_9),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f166,f272])).
% 0.14/0.46 fof(f759,plain,(
% 0.14/0.46 inverse(sk_c9)=sk_c6|~spl0_6),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f154,f302])).
% 0.14/0.46 fof(f765,plain,(
% 0.14/0.46 multiply(sk_c5,sk_c11)=identity|~spl0_4),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f146,f272])).
% 0.14/0.46 fof(f772,plain,(
% 0.14/0.46 multiply(sk_c12,sk_c4)=identity|~spl0_2),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f138,f66])).
% 0.14/0.46 fof(f777,plain,(
% 0.14/0.46 multiply(sk_c2,sk_c12)=identity|~spl0_15),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f727,f66])).
% 0.14/0.46 fof(f778,plain,(
% 0.14/0.46 sk_c3=identity|~spl0_14|~spl0_15),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f213,f777])).
% 0.14/0.46 fof(f790,plain,(
% 0.14/0.46 sk_c7=sk_c6|~spl0_9|~spl0_6),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f737,f759])).
% 0.14/0.46 fof(f796,plain,(
% 0.14/0.46 multiply(sk_c12,identity)=sk_c11|~spl0_14|~spl0_15|~spl0_13),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f778,f200])).
% 0.14/0.46 fof(f797,plain,(
% 0.14/0.46 sk_c12=sk_c11|~spl0_14|~spl0_15|~spl0_13),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f300,f796])).
% 0.14/0.46 fof(f1633,plain,(
% 0.14/0.46 ![X0,X1]: (~identity=sk_c12|~multiply(inverse(X0),sk_c11)=sk_c12|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_20)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f272,f254])).
% 0.14/0.46 fof(f1659,plain,(
% 0.14/0.46 spl0_21 <=> inverse(identity)=identity),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f1661,plain,(
% 0.14/0.46 ~inverse(identity)=identity|spl0_21),
% 0.14/0.46 inference(component_clause,[status(thm)],[f1659])).
% 0.14/0.46 fof(f1662,plain,(
% 0.14/0.46 spl0_22 <=> multiply(identity,inverse(identity))=inverse(inverse(identity))),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f1664,plain,(
% 0.14/0.46 ~multiply(identity,inverse(identity))=inverse(inverse(identity))|spl0_22),
% 0.14/0.46 inference(component_clause,[status(thm)],[f1662])).
% 0.14/0.46 fof(f1682,plain,(
% 0.14/0.46 spl0_23 <=> multiply(inverse(identity),identity)=inverse(inverse(identity))),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f1684,plain,(
% 0.14/0.46 ~multiply(inverse(identity),identity)=inverse(inverse(identity))|spl0_23),
% 0.14/0.46 inference(component_clause,[status(thm)],[f1682])).
% 0.14/0.46 fof(f1687,plain,(
% 0.14/0.46 ~identity=inverse(inverse(identity))|spl0_23),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f66,f1684])).
% 0.14/0.46 fof(f1688,plain,(
% 0.14/0.46 ~identity=identity|spl0_23),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f302,f1687])).
% 0.14/0.46 fof(f1689,plain,(
% 0.14/0.46 $false|spl0_23),
% 0.14/0.46 inference(trivial_equality_resolution,[status(esa)],[f1688])).
% 0.14/0.46 fof(f1690,plain,(
% 0.14/0.46 spl0_23),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f1689])).
% 0.14/0.46 fof(f1691,plain,(
% 0.14/0.46 ~inverse(identity)=inverse(inverse(identity))|spl0_22),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f65,f1664])).
% 0.14/0.46 fof(f1692,plain,(
% 0.14/0.46 ~identity=inverse(inverse(identity))|spl0_22),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f281,f1691])).
% 0.14/0.46 fof(f1693,plain,(
% 0.14/0.46 ~identity=identity|spl0_22),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f302,f1692])).
% 0.14/0.46 fof(f1694,plain,(
% 0.14/0.46 $false|spl0_22),
% 0.14/0.46 inference(trivial_equality_resolution,[status(esa)],[f1693])).
% 0.14/0.46 fof(f1695,plain,(
% 0.14/0.46 spl0_22),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f1694])).
% 0.14/0.46 fof(f1696,plain,(
% 0.14/0.46 ~identity=identity|spl0_21),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f281,f1661])).
% 0.14/0.46 fof(f1697,plain,(
% 0.14/0.46 $false|spl0_21),
% 0.14/0.46 inference(trivial_equality_resolution,[status(esa)],[f1696])).
% 0.14/0.46 fof(f1698,plain,(
% 0.14/0.46 spl0_21),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f1697])).
% 0.14/0.46 fof(f1782,plain,(
% 0.14/0.46 spl0_24 <=> identity=sk_c10),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f1783,plain,(
% 0.14/0.46 identity=sk_c10|~spl0_24),
% 0.14/0.46 inference(component_clause,[status(thm)],[f1782])).
% 0.14/0.46 fof(f1784,plain,(
% 0.14/0.46 ~identity=sk_c10|spl0_24),
% 0.14/0.46 inference(component_clause,[status(thm)],[f1782])).
% 0.14/0.46 fof(f1792,plain,(
% 0.14/0.46 spl0_26 <=> inverse(inverse(sk_c11))=sk_c11),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f1794,plain,(
% 0.14/0.46 ~inverse(inverse(sk_c11))=sk_c11|spl0_26),
% 0.14/0.46 inference(component_clause,[status(thm)],[f1792])).
% 0.14/0.46 fof(f1795,plain,(
% 0.14/0.46 ~identity=sk_c10|~inverse(inverse(sk_c11))=sk_c11|~spl0_19),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f66,f248])).
% 0.14/0.46 fof(f1796,plain,(
% 0.14/0.46 ~spl0_24|~spl0_26|~spl0_19),
% 0.14/0.46 inference(split_clause,[status(thm)],[f1795,f1782,f1792,f247])).
% 0.14/0.46 fof(f1797,plain,(
% 0.14/0.46 spl0_27 <=> sk_c11=sk_c10),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f1798,plain,(
% 0.14/0.46 sk_c11=sk_c10|~spl0_27),
% 0.14/0.46 inference(component_clause,[status(thm)],[f1797])).
% 0.14/0.46 fof(f1799,plain,(
% 0.14/0.46 ~sk_c11=sk_c10|spl0_27),
% 0.14/0.46 inference(component_clause,[status(thm)],[f1797])).
% 0.14/0.46 fof(f1807,plain,(
% 0.14/0.46 ~sk_c11=sk_c11|spl0_26),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f302,f1794])).
% 0.14/0.46 fof(f1808,plain,(
% 0.14/0.46 $false|spl0_26),
% 0.14/0.46 inference(trivial_equality_resolution,[status(esa)],[f1807])).
% 0.14/0.46 fof(f1809,plain,(
% 0.14/0.46 spl0_26),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f1808])).
% 0.14/0.46 fof(f1810,plain,(
% 0.14/0.46 ![X0]: (~multiply(X0,sk_c11)=sk_c11|~inverse(X0)=sk_c12|~spl0_14|~spl0_15|~spl0_13|~spl0_18)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f797,f245])).
% 0.14/0.46 fof(f1811,plain,(
% 0.14/0.46 ![X0]: (~multiply(X0,sk_c11)=sk_c11|~inverse(X0)=sk_c11|~spl0_14|~spl0_15|~spl0_13|~spl0_18)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f797,f1810])).
% 0.14/0.46 fof(f1863,plain,(
% 0.14/0.46 multiply(sk_c6,sk_c9)=identity|~spl0_6|~spl0_9),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f790,f738])).
% 0.14/0.46 fof(f1901,plain,(
% 0.14/0.46 multiply(sk_c11,sk_c11)=sk_c10|~spl0_14|~spl0_15|~spl0_13|~spl0_0),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f797,f131])).
% 0.14/0.46 fof(f2640,plain,(
% 0.14/0.46 identity=sk_c12|~spl0_6|~spl0_9|~spl0_5),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f1863,f150])).
% 0.14/0.46 fof(f2735,plain,(
% 0.14/0.46 identity=sk_c12|~spl0_12|~spl0_11),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f733,f174])).
% 0.14/0.46 fof(f2736,plain,(
% 0.14/0.46 identity=sk_c11|~spl0_14|~spl0_15|~spl0_13|~spl0_12|~spl0_11),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f797,f2735])).
% 0.14/0.46 fof(f2752,plain,(
% 0.14/0.46 multiply(sk_c11,identity)=sk_c10|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_0),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f2736,f1901])).
% 0.14/0.46 fof(f2753,plain,(
% 0.14/0.46 sk_c11=sk_c10|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_0),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f300,f2752])).
% 0.14/0.46 fof(f2754,plain,(
% 0.14/0.46 identity=sk_c10|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_0),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f2736,f2753])).
% 0.14/0.46 fof(f2755,plain,(
% 0.14/0.46 $false|spl0_24|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_0),
% 0.14/0.46 inference(forward_subsumption_resolution,[status(thm)],[f2754,f1784])).
% 0.14/0.46 fof(f2756,plain,(
% 0.14/0.46 spl0_24|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_0),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f2755])).
% 0.14/0.46 fof(f2778,plain,(
% 0.14/0.46 ![X0]: (~multiply(sk_c12,multiply(X0,sk_c12))=sk_c11|~inverse(X0)=sk_c12|~spl0_17)),
% 0.14/0.46 inference(destructive_equality_resolution,[status(esa)],[f242])).
% 0.14/0.46 fof(f3132,plain,(
% 0.14/0.46 identity=sk_c11|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f2735,f797])).
% 0.14/0.46 fof(f3191,plain,(
% 0.14/0.46 sk_c10=identity|~spl0_3|~spl0_4),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f142,f765])).
% 0.14/0.46 fof(f3192,plain,(
% 0.14/0.46 $false|spl0_24|~spl0_3|~spl0_4),
% 0.14/0.46 inference(forward_subsumption_resolution,[status(thm)],[f3191,f1784])).
% 0.14/0.46 fof(f3193,plain,(
% 0.14/0.46 spl0_24|~spl0_3|~spl0_4),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f3192])).
% 0.14/0.46 fof(f3230,plain,(
% 0.14/0.46 ![X0]: (~multiply(X0,identity)=sk_c12|~inverse(X0)=sk_c11|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_16)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f3132,f239])).
% 0.14/0.46 fof(f3231,plain,(
% 0.14/0.46 ![X0]: (~X0=sk_c12|~inverse(X0)=sk_c11|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_16)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f300,f3230])).
% 0.14/0.46 fof(f3232,plain,(
% 0.14/0.46 ![X0]: (~X0=identity|~inverse(X0)=sk_c11|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_16)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f2735,f3231])).
% 0.14/0.46 fof(f3233,plain,(
% 0.14/0.46 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_16)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f3132,f3232])).
% 0.14/0.46 fof(f3234,plain,(
% 0.14/0.46 ~inverse(identity)=identity|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_16),
% 0.14/0.46 inference(destructive_equality_resolution,[status(esa)],[f3233])).
% 0.14/0.46 fof(f3235,plain,(
% 0.14/0.46 $false|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_16),
% 0.14/0.46 inference(forward_subsumption_resolution,[status(thm)],[f3234,f281])).
% 0.14/0.46 fof(f3236,plain,(
% 0.14/0.46 ~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_16),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f3235])).
% 0.14/0.46 fof(f3237,plain,(
% 0.14/0.46 ![X0]: (~multiply(identity,multiply(X0,sk_c12))=sk_c11|~inverse(X0)=sk_c12|~spl0_12|~spl0_11|~spl0_17)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f2735,f2778])).
% 0.14/0.46 fof(f3238,plain,(
% 0.14/0.46 ![X0]: (~multiply(X0,sk_c12)=sk_c11|~inverse(X0)=sk_c12|~spl0_12|~spl0_11|~spl0_17)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f65,f3237])).
% 0.14/0.46 fof(f3239,plain,(
% 0.14/0.46 ![X0]: (~multiply(X0,identity)=sk_c11|~inverse(X0)=sk_c12|~spl0_12|~spl0_11|~spl0_17)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f2735,f3238])).
% 0.14/0.46 fof(f3240,plain,(
% 0.14/0.46 ![X0]: (~X0=sk_c11|~inverse(X0)=sk_c12|~spl0_12|~spl0_11|~spl0_17)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f300,f3239])).
% 0.14/0.46 fof(f3241,plain,(
% 0.14/0.46 ![X0]: (~X0=identity|~inverse(X0)=sk_c12|~spl0_14|~spl0_15|~spl0_13|~spl0_12|~spl0_11|~spl0_17)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f3132,f3240])).
% 0.14/0.46 fof(f3242,plain,(
% 0.14/0.46 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_14|~spl0_15|~spl0_13|~spl0_12|~spl0_11|~spl0_17)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f2735,f3241])).
% 0.14/0.46 fof(f3243,plain,(
% 0.14/0.46 ~inverse(identity)=identity|~spl0_14|~spl0_15|~spl0_13|~spl0_12|~spl0_11|~spl0_17),
% 0.14/0.46 inference(destructive_equality_resolution,[status(esa)],[f3242])).
% 0.14/0.46 fof(f3244,plain,(
% 0.14/0.46 $false|~spl0_14|~spl0_15|~spl0_13|~spl0_12|~spl0_11|~spl0_17),
% 0.14/0.46 inference(forward_subsumption_resolution,[status(thm)],[f3243,f281])).
% 0.14/0.46 fof(f3245,plain,(
% 0.14/0.46 ~spl0_14|~spl0_15|~spl0_13|~spl0_12|~spl0_11|~spl0_17),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f3244])).
% 0.14/0.46 fof(f3246,plain,(
% 0.14/0.46 spl0_29 <=> identity=sk_c12),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f3248,plain,(
% 0.14/0.46 ~identity=sk_c12|spl0_29),
% 0.14/0.46 inference(component_clause,[status(thm)],[f3246])).
% 0.14/0.46 fof(f3249,plain,(
% 0.14/0.46 spl0_30 <=> ~multiply(inverse(X0),sk_c11)=sk_c12|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)),
% 0.14/0.46 introduced(split_symbol_definition)).
% 0.14/0.46 fof(f3250,plain,(
% 0.14/0.46 ![X0,X1]: (~multiply(inverse(X0),sk_c11)=sk_c12|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_30)),
% 0.14/0.46 inference(component_clause,[status(thm)],[f3249])).
% 0.14/0.46 fof(f3252,plain,(
% 0.14/0.46 ~spl0_29|spl0_30|~spl0_20),
% 0.14/0.46 inference(split_clause,[status(thm)],[f1633,f3246,f3249,f250])).
% 0.14/0.46 fof(f3253,plain,(
% 0.14/0.46 ~identity=identity|~spl0_12|~spl0_11|spl0_29),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f2735,f3248])).
% 0.14/0.46 fof(f3254,plain,(
% 0.14/0.46 $false|~spl0_12|~spl0_11|spl0_29),
% 0.14/0.46 inference(trivial_equality_resolution,[status(esa)],[f3253])).
% 0.14/0.46 fof(f3255,plain,(
% 0.14/0.46 ~spl0_12|~spl0_11|spl0_29),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f3254])).
% 0.14/0.46 fof(f3256,plain,(
% 0.14/0.46 ![X0,X1]: (~multiply(inverse(X0),identity)=sk_c12|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_30)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f3132,f3250])).
% 0.14/0.46 fof(f3257,plain,(
% 0.14/0.46 ![X0,X1]: (~inverse(X0)=sk_c12|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_30)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f300,f3256])).
% 0.14/0.46 fof(f3258,plain,(
% 0.14/0.46 ![X0,X1]: (~inverse(X0)=identity|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_30)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f2735,f3257])).
% 0.14/0.46 fof(f3259,plain,(
% 0.14/0.47 ![X0,X1]: (~inverse(X0)=identity|~X1=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_30)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f302,f3258])).
% 0.14/0.47 fof(f3260,plain,(
% 0.14/0.47 ![X0]: (~inverse(X0)=identity|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_30)),
% 0.14/0.47 inference(destructive_equality_resolution,[status(esa)],[f3259])).
% 0.14/0.47 fof(f3923,plain,(
% 0.14/0.47 ![X0,X1]: (~multiply(inverse(X0),sk_c11)=sk_c12|~X1=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_30)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f302,f3250])).
% 0.14/0.47 fof(f3924,plain,(
% 0.14/0.47 ![X0]: (~multiply(inverse(X0),sk_c11)=sk_c12|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_30)),
% 0.14/0.47 inference(destructive_equality_resolution,[status(esa)],[f3923])).
% 0.14/0.47 fof(f3930,plain,(
% 0.14/0.47 identity=sk_c11|~spl0_27|~spl0_24),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f1798,f1783])).
% 0.14/0.47 fof(f3950,plain,(
% 0.14/0.47 multiply(identity,sk_c12)=sk_c10|~spl0_27|~spl0_24|~spl0_0),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f3930,f131])).
% 0.14/0.47 fof(f3951,plain,(
% 0.14/0.47 sk_c12=sk_c10|~spl0_27|~spl0_24|~spl0_0),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f65,f3950])).
% 0.14/0.47 fof(f5872,plain,(
% 0.14/0.47 inverse(sk_c4)=identity|~spl0_6|~spl0_9|~spl0_5|~spl0_2),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f2640,f138])).
% 0.14/0.47 fof(f5891,plain,(
% 0.14/0.47 inverse(identity)=sk_c4|~spl0_6|~spl0_9|~spl0_5|~spl0_2),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f5872,f302])).
% 0.14/0.47 fof(f5892,plain,(
% 0.14/0.47 identity=sk_c4|~spl0_6|~spl0_9|~spl0_5|~spl0_2),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f281,f5891])).
% 0.14/0.47 fof(f5930,plain,(
% 0.14/0.47 multiply(identity,sk_c12)=sk_c11|~spl0_6|~spl0_9|~spl0_5|~spl0_2|~spl0_1),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f5892,f134])).
% 0.14/0.47 fof(f5931,plain,(
% 0.14/0.47 sk_c12=sk_c11|~spl0_6|~spl0_9|~spl0_5|~spl0_2|~spl0_1),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f65,f5930])).
% 0.14/0.47 fof(f5932,plain,(
% 0.14/0.47 identity=sk_c11|~spl0_6|~spl0_9|~spl0_5|~spl0_2|~spl0_1),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f2640,f5931])).
% 0.14/0.47 fof(f5933,plain,(
% 0.14/0.47 ![X0]: (~multiply(inverse(X0),identity)=sk_c12|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_27|~spl0_24|~spl0_30)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f3930,f3924])).
% 0.14/0.47 fof(f5934,plain,(
% 0.14/0.47 ![X0]: (~inverse(X0)=sk_c12|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_27|~spl0_24|~spl0_30)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f300,f5933])).
% 0.14/0.47 fof(f5935,plain,(
% 0.14/0.47 ![X0]: (~inverse(X0)=identity|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_6|~spl0_9|~spl0_5|~spl0_27|~spl0_24|~spl0_30)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f2640,f5934])).
% 0.14/0.47 fof(f5936,plain,(
% 0.14/0.47 ![X0]: (~inverse(X0)=identity|~inverse(multiply(X0,X0))=inverse(inverse(X0))|~spl0_6|~spl0_9|~spl0_5|~spl0_27|~spl0_24|~spl0_30)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f451,f5935])).
% 0.14/0.47 fof(f5937,plain,(
% 0.14/0.47 ![X0]: (~inverse(X0)=identity|~inverse(multiply(X0,X0))=X0|~spl0_6|~spl0_9|~spl0_5|~spl0_27|~spl0_24|~spl0_30)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f302,f5936])).
% 0.14/0.47 fof(f5957,plain,(
% 0.14/0.47 ~inverse(identity)=identity|~inverse(identity)=identity|~spl0_6|~spl0_9|~spl0_5|~spl0_27|~spl0_24|~spl0_30),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f65,f5937])).
% 0.14/0.47 fof(f5958,plain,(
% 0.14/0.47 ~spl0_21|~spl0_6|~spl0_9|~spl0_5|~spl0_27|~spl0_24|~spl0_30),
% 0.14/0.47 inference(split_clause,[status(thm)],[f5957,f1659,f153,f165,f149,f1797,f1782,f3249])).
% 0.14/0.47 fof(f5969,plain,(
% 0.14/0.47 ~sk_c11=identity|~spl0_3|~spl0_4|spl0_27),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f3191,f1799])).
% 0.14/0.47 fof(f5970,plain,(
% 0.14/0.47 ~identity=identity|~spl0_6|~spl0_9|~spl0_5|~spl0_2|~spl0_1|~spl0_3|~spl0_4|spl0_27),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f5932,f5969])).
% 0.14/0.47 fof(f5971,plain,(
% 0.14/0.47 $false|~spl0_6|~spl0_9|~spl0_5|~spl0_2|~spl0_1|~spl0_3|~spl0_4|spl0_27),
% 0.14/0.47 inference(trivial_equality_resolution,[status(esa)],[f5970])).
% 0.14/0.47 fof(f5972,plain,(
% 0.14/0.47 ~spl0_6|~spl0_9|~spl0_5|~spl0_2|~spl0_1|~spl0_3|~spl0_4|spl0_27),
% 0.14/0.47 inference(contradiction_clause,[status(thm)],[f5971])).
% 0.14/0.47 fof(f6020,plain,(
% 0.14/0.47 sk_c12=identity|~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f3191,f3951])).
% 0.14/0.47 fof(f11149,plain,(
% 0.14/0.47 ![X0]: (~multiply(X0,identity)=sk_c11|~inverse(X0)=sk_c11|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_18)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f3132,f1811])).
% 0.14/0.47 fof(f11150,plain,(
% 0.14/0.47 ![X0]: (~X0=sk_c11|~inverse(X0)=sk_c11|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_18)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f300,f11149])).
% 0.14/0.47 fof(f11151,plain,(
% 0.14/0.47 ![X0]: (~X0=identity|~inverse(X0)=sk_c11|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_18)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f3132,f11150])).
% 0.14/0.47 fof(f11152,plain,(
% 0.14/0.47 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_18)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f3132,f11151])).
% 0.14/0.47 fof(f11153,plain,(
% 0.14/0.47 ~inverse(identity)=identity|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_18),
% 0.14/0.47 inference(destructive_equality_resolution,[status(esa)],[f11152])).
% 0.14/0.47 fof(f11154,plain,(
% 0.14/0.47 $false|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_18),
% 0.14/0.47 inference(forward_subsumption_resolution,[status(thm)],[f11153,f281])).
% 0.14/0.47 fof(f11155,plain,(
% 0.14/0.47 ~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_18),
% 0.14/0.47 inference(contradiction_clause,[status(thm)],[f11154])).
% 0.14/0.47 fof(f15820,plain,(
% 0.14/0.47 ![X0]: (~multiply(X0,identity)=sk_c12|~inverse(X0)=sk_c11|~spl0_27|~spl0_24|~spl0_16)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f3930,f239])).
% 0.14/0.47 fof(f15821,plain,(
% 0.14/0.47 ![X0]: (~X0=sk_c12|~inverse(X0)=sk_c11|~spl0_27|~spl0_24|~spl0_16)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f300,f15820])).
% 0.14/0.47 fof(f15822,plain,(
% 0.14/0.47 ![X0]: (~X0=identity|~inverse(X0)=sk_c11|~spl0_3|~spl0_4|~spl0_0|~spl0_27|~spl0_24|~spl0_16)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f6020,f15821])).
% 0.14/0.47 fof(f15823,plain,(
% 0.14/0.47 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_3|~spl0_4|~spl0_0|~spl0_27|~spl0_24|~spl0_16)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f3930,f15822])).
% 0.14/0.47 fof(f15824,plain,(
% 0.14/0.47 ~inverse(identity)=identity|~spl0_3|~spl0_4|~spl0_0|~spl0_27|~spl0_24|~spl0_16),
% 0.14/0.47 inference(destructive_equality_resolution,[status(esa)],[f15823])).
% 0.14/0.47 fof(f15825,plain,(
% 0.14/0.47 $false|~spl0_3|~spl0_4|~spl0_0|~spl0_27|~spl0_24|~spl0_16),
% 0.14/0.47 inference(forward_subsumption_resolution,[status(thm)],[f15824,f281])).
% 0.14/0.47 fof(f15826,plain,(
% 0.14/0.47 ~spl0_3|~spl0_4|~spl0_0|~spl0_27|~spl0_24|~spl0_16),
% 0.14/0.47 inference(contradiction_clause,[status(thm)],[f15825])).
% 0.14/0.47 fof(f15827,plain,(
% 0.14/0.47 ![X0]: (~multiply(X0,identity)=sk_c11|~inverse(X0)=sk_c12|~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|~spl0_18)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f6020,f245])).
% 0.14/0.47 fof(f15828,plain,(
% 0.14/0.47 ![X0]: (~X0=sk_c11|~inverse(X0)=sk_c12|~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|~spl0_18)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f300,f15827])).
% 0.14/0.47 fof(f15829,plain,(
% 0.14/0.47 ![X0]: (~X0=identity|~inverse(X0)=sk_c12|~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|~spl0_18)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f3930,f15828])).
% 0.14/0.47 fof(f15830,plain,(
% 0.14/0.47 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|~spl0_18)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f6020,f15829])).
% 0.14/0.47 fof(f15831,plain,(
% 0.14/0.47 ~inverse(identity)=identity|~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|~spl0_18),
% 0.14/0.47 inference(destructive_equality_resolution,[status(esa)],[f15830])).
% 0.14/0.47 fof(f15832,plain,(
% 0.14/0.47 $false|~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|~spl0_18),
% 0.14/0.47 inference(forward_subsumption_resolution,[status(thm)],[f15831,f281])).
% 0.14/0.47 fof(f15833,plain,(
% 0.14/0.47 ~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|~spl0_18),
% 0.14/0.47 inference(contradiction_clause,[status(thm)],[f15832])).
% 0.14/0.47 fof(f15840,plain,(
% 0.14/0.47 ~identity=identity|~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|spl0_29),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f6020,f3248])).
% 0.14/0.47 fof(f15841,plain,(
% 0.14/0.47 $false|~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|spl0_29),
% 0.14/0.47 inference(trivial_equality_resolution,[status(esa)],[f15840])).
% 0.14/0.47 fof(f15842,plain,(
% 0.14/0.47 ~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|spl0_29),
% 0.14/0.47 inference(contradiction_clause,[status(thm)],[f15841])).
% 0.14/0.47 fof(f15945,plain,(
% 0.14/0.47 ![X0]: (~multiply(identity,multiply(X0,sk_c12))=sk_c11|~inverse(X0)=sk_c12|~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|~spl0_17)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f6020,f2778])).
% 0.14/0.47 fof(f15946,plain,(
% 0.14/0.47 ![X0]: (~multiply(X0,sk_c12)=sk_c11|~inverse(X0)=sk_c12|~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|~spl0_17)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f65,f15945])).
% 0.14/0.47 fof(f15947,plain,(
% 0.14/0.47 ![X0]: (~multiply(X0,identity)=sk_c11|~inverse(X0)=sk_c12|~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|~spl0_17)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f6020,f15946])).
% 0.14/0.47 fof(f15948,plain,(
% 0.14/0.47 ![X0]: (~X0=sk_c11|~inverse(X0)=sk_c12|~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|~spl0_17)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f300,f15947])).
% 0.14/0.47 fof(f15949,plain,(
% 0.14/0.47 ![X0]: (~X0=identity|~inverse(X0)=sk_c12|~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|~spl0_17)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f3930,f15948])).
% 0.14/0.47 fof(f15950,plain,(
% 0.14/0.47 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|~spl0_17)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f6020,f15949])).
% 0.14/0.47 fof(f15951,plain,(
% 0.14/0.47 ~inverse(identity)=identity|~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|~spl0_17),
% 0.14/0.47 inference(destructive_equality_resolution,[status(esa)],[f15950])).
% 0.14/0.47 fof(f15952,plain,(
% 0.14/0.47 $false|~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|~spl0_17),
% 0.14/0.47 inference(forward_subsumption_resolution,[status(thm)],[f15951,f281])).
% 0.14/0.47 fof(f15953,plain,(
% 0.14/0.47 ~spl0_3|~spl0_4|~spl0_27|~spl0_24|~spl0_0|~spl0_17),
% 0.14/0.47 inference(contradiction_clause,[status(thm)],[f15952])).
% 0.14/0.47 fof(f15955,plain,(
% 0.14/0.47 multiply(sk_c12,identity)=identity|~spl0_6|~spl0_9|~spl0_5|~spl0_2),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f5892,f772])).
% 0.14/0.47 fof(f15956,plain,(
% 0.14/0.47 sk_c12=identity|~spl0_6|~spl0_9|~spl0_5|~spl0_2),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f300,f15955])).
% 0.14/0.47 fof(f15959,plain,(
% 0.14/0.47 ~multiply(identity,sk_c12)=sk_c10|~spl0_27|~spl0_24|spl0_0),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f3930,f132])).
% 0.14/0.47 fof(f15960,plain,(
% 0.14/0.47 ~sk_c12=sk_c10|~spl0_27|~spl0_24|spl0_0),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f65,f15959])).
% 0.14/0.47 fof(f15961,plain,(
% 0.14/0.47 ~sk_c12=identity|~spl0_3|~spl0_4|~spl0_27|~spl0_24|spl0_0),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f3191,f15960])).
% 0.14/0.47 fof(f15964,plain,(
% 0.14/0.47 ~identity=identity|~spl0_6|~spl0_9|~spl0_5|~spl0_2|~spl0_3|~spl0_4|~spl0_27|~spl0_24|spl0_0),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f15956,f15961])).
% 0.14/0.47 fof(f15965,plain,(
% 0.14/0.47 $false|~spl0_6|~spl0_9|~spl0_5|~spl0_2|~spl0_3|~spl0_4|~spl0_27|~spl0_24|spl0_0),
% 0.14/0.47 inference(trivial_equality_resolution,[status(esa)],[f15964])).
% 0.14/0.47 fof(f15966,plain,(
% 0.14/0.47 ~spl0_6|~spl0_9|~spl0_5|~spl0_2|~spl0_3|~spl0_4|~spl0_27|~spl0_24|spl0_0),
% 0.14/0.47 inference(contradiction_clause,[status(thm)],[f15965])).
% 0.14/0.47 fof(f15987,plain,(
% 0.14/0.47 ![X0]: (~inverse(X0)=identity|~inverse(multiply(X0,X0))=inverse(inverse(X0))|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_30)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f451,f3260])).
% 0.14/0.47 fof(f15988,plain,(
% 0.14/0.47 ![X0]: (~inverse(X0)=identity|~inverse(multiply(X0,X0))=X0|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_30)),
% 0.14/0.47 inference(forward_demodulation,[status(thm)],[f302,f15987])).
% 0.14/0.47 fof(f16238,plain,(
% 0.14/0.47 ~inverse(identity)=identity|~inverse(identity)=identity|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_30),
% 0.14/0.47 inference(paramodulation,[status(thm)],[f65,f15988])).
% 0.14/0.47 fof(f16239,plain,(
% 0.14/0.47 ~spl0_21|~spl0_12|~spl0_11|~spl0_14|~spl0_15|~spl0_13|~spl0_30),
% 0.14/0.47 inference(split_clause,[status(thm)],[f16238,f1659,f186,f173,f212,f225,f199,f3249])).
% 0.14/0.47 fof(f16243,plain,(
% 0.14/0.47 $false),
% 0.14/0.47 inference(sat_refutation,[status(thm)],[f136,f140,f144,f148,f152,f156,f168,f176,f177,f178,f179,f180,f181,f184,f189,f190,f191,f192,f193,f194,f197,f202,f203,f204,f205,f206,f207,f210,f215,f216,f217,f218,f219,f220,f223,f228,f229,f230,f231,f232,f233,f236,f253,f1690,f1695,f1698,f1796,f1809,f2756,f3193,f3236,f3245,f3252,f3255,f5958,f5972,f11155,f15826,f15833,f15842,f15953,f15966,f16239])).
% 0.14/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.48 % Elapsed time: 0.174317 seconds
% 0.14/0.48 % CPU time: 1.054627 seconds
% 0.14/0.48 % Memory used: 76.145 MB
%------------------------------------------------------------------------------