TSTP Solution File: GRP325-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP325-1 : 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 12:11:20 EDT 2023
% Result : Unsatisfiable 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP325-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:43:28 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.19/0.41 % Refutation found
% 0.19/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.41 fof(f1,axiom,(
% 0.19/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f2,axiom,(
% 0.19/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f3,axiom,(
% 0.19/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f4,negated_conjecture,(
% 0.19/0.41 multiply(sk_c9,sk_c10) = sk_c8 ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f5,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c1,sk_c9) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f6,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f7,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c9) = sk_c8 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f8,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c1,sk_c9) = sk_c10| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f9,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c5) = sk_c9 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f11,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f12,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c6) = sk_c10 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f14,negated_conjecture,(
% 0.19/0.41 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f15,negated_conjecture,(
% 0.19/0.41 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f16,negated_conjecture,(
% 0.19/0.41 ( inverse(sk_c1) = sk_c9| inverse(sk_c9) = sk_c8 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f17,negated_conjecture,(
% 0.19/0.41 ( inverse(sk_c1) = sk_c9| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f18,negated_conjecture,(
% 0.19/0.41 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c9 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f20,negated_conjecture,(
% 0.19/0.41 ( inverse(sk_c1) = sk_c9| inverse(sk_c7) = sk_c6 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f21,negated_conjecture,(
% 0.19/0.41 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c10 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f23,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c10,sk_c3) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f24,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c10,sk_c3) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f25,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c10,sk_c3) = sk_c9| inverse(sk_c9) = sk_c8 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f26,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c10,sk_c3) = sk_c9| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f29,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c10,sk_c3) = sk_c9| inverse(sk_c7) = sk_c6 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f30,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c10,sk_c3) = sk_c9| inverse(sk_c6) = sk_c10 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f32,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c2,sk_c10) = sk_c3| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f33,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c2,sk_c10) = sk_c3| inverse(sk_c4) = sk_c10 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f34,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c2,sk_c10) = sk_c3| inverse(sk_c9) = sk_c8 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f35,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c2,sk_c10) = sk_c3| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f38,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c2,sk_c10) = sk_c3| inverse(sk_c7) = sk_c6 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f39,negated_conjecture,(
% 0.19/0.41 ( multiply(sk_c2,sk_c10) = sk_c3| inverse(sk_c6) = sk_c10 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f41,negated_conjecture,(
% 0.19/0.41 ( inverse(sk_c2) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f42,negated_conjecture,(
% 0.19/0.41 ( inverse(sk_c2) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f43,negated_conjecture,(
% 0.19/0.41 ( inverse(sk_c2) = sk_c10| inverse(sk_c9) = sk_c8 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f44,negated_conjecture,(
% 0.19/0.41 ( inverse(sk_c2) = sk_c10| multiply(sk_c10,sk_c8) = sk_c9 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f47,negated_conjecture,(
% 0.19/0.41 ( inverse(sk_c2) = sk_c10| inverse(sk_c7) = sk_c6 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f48,negated_conjecture,(
% 0.19/0.41 ( inverse(sk_c2) = sk_c10| inverse(sk_c6) = sk_c10 ) ),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f50,negated_conjecture,(
% 0.19/0.41 (![X4,X5,X6,X1,X2,X3,X7]: (( multiply(sk_c9,sk_c10) != sk_c8| multiply(X4,sk_c9) != sk_c10| inverse(X4) != sk_c9| multiply(sk_c10,X5) != sk_c9| multiply(X6,sk_c10) != X5| inverse(X6) != sk_c10| multiply(X1,sk_c10) != sk_c9| inverse(X1) != sk_c10| inverse(sk_c9) != sk_c8| multiply(sk_c10,sk_c8) != sk_c9| inverse(X2) != sk_c9| multiply(X2,sk_c8) != sk_c9| inverse(X3) != X7| inverse(X7) != sk_c10| multiply(X3,sk_c10) != X7 ) ))),
% 0.19/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f51,plain,(
% 0.19/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f1])).
% 0.19/0.41 fof(f52,plain,(
% 0.19/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f2])).
% 0.19/0.41 fof(f53,plain,(
% 0.19/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.41 fof(f54,plain,(
% 0.19/0.41 multiply(sk_c9,sk_c10)=sk_c8),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f4])).
% 0.19/0.41 fof(f55,plain,(
% 0.19/0.41 multiply(sk_c1,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f5])).
% 0.19/0.41 fof(f56,plain,(
% 0.19/0.41 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f6])).
% 0.19/0.41 fof(f57,plain,(
% 0.19/0.41 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c9)=sk_c8),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f7])).
% 0.19/0.41 fof(f58,plain,(
% 0.19/0.41 multiply(sk_c1,sk_c9)=sk_c10|multiply(sk_c10,sk_c8)=sk_c9),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f8])).
% 0.19/0.41 fof(f59,plain,(
% 0.19/0.41 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c5)=sk_c9),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f9])).
% 0.19/0.41 fof(f61,plain,(
% 0.19/0.41 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f11])).
% 0.19/0.41 fof(f62,plain,(
% 0.19/0.41 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c6)=sk_c10),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f12])).
% 0.19/0.41 fof(f64,plain,(
% 0.19/0.41 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f14])).
% 0.19/0.41 fof(f65,plain,(
% 0.19/0.41 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f15])).
% 0.19/0.41 fof(f66,plain,(
% 0.19/0.41 inverse(sk_c1)=sk_c9|inverse(sk_c9)=sk_c8),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f16])).
% 0.19/0.41 fof(f67,plain,(
% 0.19/0.41 inverse(sk_c1)=sk_c9|multiply(sk_c10,sk_c8)=sk_c9),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f17])).
% 0.19/0.41 fof(f68,plain,(
% 0.19/0.41 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c9),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f18])).
% 0.19/0.41 fof(f70,plain,(
% 0.19/0.41 inverse(sk_c1)=sk_c9|inverse(sk_c7)=sk_c6),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f20])).
% 0.19/0.41 fof(f71,plain,(
% 0.19/0.41 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c10),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f21])).
% 0.19/0.41 fof(f73,plain,(
% 0.19/0.41 multiply(sk_c10,sk_c3)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f23])).
% 0.19/0.41 fof(f74,plain,(
% 0.19/0.41 multiply(sk_c10,sk_c3)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f24])).
% 0.19/0.41 fof(f75,plain,(
% 0.19/0.41 multiply(sk_c10,sk_c3)=sk_c9|inverse(sk_c9)=sk_c8),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f25])).
% 0.19/0.41 fof(f76,plain,(
% 0.19/0.41 multiply(sk_c10,sk_c3)=sk_c9|multiply(sk_c10,sk_c8)=sk_c9),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f26])).
% 0.19/0.41 fof(f79,plain,(
% 0.19/0.41 multiply(sk_c10,sk_c3)=sk_c9|inverse(sk_c7)=sk_c6),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f29])).
% 0.19/0.41 fof(f80,plain,(
% 0.19/0.41 multiply(sk_c10,sk_c3)=sk_c9|inverse(sk_c6)=sk_c10),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f30])).
% 0.19/0.41 fof(f82,plain,(
% 0.19/0.41 multiply(sk_c2,sk_c10)=sk_c3|multiply(sk_c4,sk_c10)=sk_c9),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f32])).
% 0.19/0.41 fof(f83,plain,(
% 0.19/0.41 multiply(sk_c2,sk_c10)=sk_c3|inverse(sk_c4)=sk_c10),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f33])).
% 0.19/0.41 fof(f84,plain,(
% 0.19/0.41 multiply(sk_c2,sk_c10)=sk_c3|inverse(sk_c9)=sk_c8),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f34])).
% 0.19/0.41 fof(f85,plain,(
% 0.19/0.41 multiply(sk_c2,sk_c10)=sk_c3|multiply(sk_c10,sk_c8)=sk_c9),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f35])).
% 0.19/0.41 fof(f88,plain,(
% 0.19/0.41 multiply(sk_c2,sk_c10)=sk_c3|inverse(sk_c7)=sk_c6),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f38])).
% 0.19/0.41 fof(f89,plain,(
% 0.19/0.41 multiply(sk_c2,sk_c10)=sk_c3|inverse(sk_c6)=sk_c10),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f39])).
% 0.19/0.41 fof(f91,plain,(
% 0.19/0.41 inverse(sk_c2)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f41])).
% 0.19/0.41 fof(f92,plain,(
% 0.19/0.41 inverse(sk_c2)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f42])).
% 0.19/0.41 fof(f93,plain,(
% 0.19/0.41 inverse(sk_c2)=sk_c10|inverse(sk_c9)=sk_c8),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f43])).
% 0.19/0.41 fof(f94,plain,(
% 0.19/0.41 inverse(sk_c2)=sk_c10|multiply(sk_c10,sk_c8)=sk_c9),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f44])).
% 0.19/0.41 fof(f97,plain,(
% 0.19/0.41 inverse(sk_c2)=sk_c10|inverse(sk_c7)=sk_c6),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f47])).
% 0.19/0.41 fof(f98,plain,(
% 0.19/0.41 inverse(sk_c2)=sk_c10|inverse(sk_c6)=sk_c10),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f48])).
% 0.19/0.41 fof(f100,plain,(
% 0.19/0.41 ![X3,X7]: ((((![X2]: (((((![X1]: (((![X6]: ((![X5]: (((![X4]: ((~multiply(sk_c9,sk_c10)=sk_c8|~multiply(X4,sk_c9)=sk_c10)|~inverse(X4)=sk_c9))|~multiply(sk_c10,X5)=sk_c9)|~multiply(X6,sk_c10)=X5))|~inverse(X6)=sk_c10))|~multiply(X1,sk_c10)=sk_c9)|~inverse(X1)=sk_c10))|~inverse(sk_c9)=sk_c8)|~multiply(sk_c10,sk_c8)=sk_c9)|~inverse(X2)=sk_c9)|~multiply(X2,sk_c8)=sk_c9))|~inverse(X3)=X7)|~inverse(X7)=sk_c10)|~multiply(X3,sk_c10)=X7)),
% 0.19/0.41 inference(miniscoping,[status(esa)],[f50])).
% 0.19/0.41 fof(f101,plain,(
% 0.19/0.41 ![X0,X1,X2,X3,X4,X5,X6]: (~multiply(sk_c9,sk_c10)=sk_c8|~multiply(X0,sk_c9)=sk_c10|~inverse(X0)=sk_c9|~multiply(sk_c10,X1)=sk_c9|~multiply(X2,sk_c10)=X1|~inverse(X2)=sk_c10|~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10|~inverse(sk_c9)=sk_c8|~multiply(sk_c10,sk_c8)=sk_c9|~inverse(X4)=sk_c9|~multiply(X4,sk_c8)=sk_c9|~inverse(X5)=X6|~inverse(X6)=sk_c10|~multiply(X5,sk_c10)=X6)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f100])).
% 0.19/0.41 fof(f102,plain,(
% 0.19/0.41 spl0_0 <=> multiply(sk_c1,sk_c9)=sk_c10),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f103,plain,(
% 0.19/0.41 multiply(sk_c1,sk_c9)=sk_c10|~spl0_0),
% 0.19/0.41 inference(component_clause,[status(thm)],[f102])).
% 0.19/0.41 fof(f105,plain,(
% 0.19/0.41 spl0_1 <=> multiply(sk_c4,sk_c10)=sk_c9),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f106,plain,(
% 0.19/0.41 multiply(sk_c4,sk_c10)=sk_c9|~spl0_1),
% 0.19/0.41 inference(component_clause,[status(thm)],[f105])).
% 0.19/0.41 fof(f108,plain,(
% 0.19/0.41 spl0_0|spl0_1),
% 0.19/0.41 inference(split_clause,[status(thm)],[f55,f102,f105])).
% 0.19/0.41 fof(f109,plain,(
% 0.19/0.41 spl0_2 <=> inverse(sk_c4)=sk_c10),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f110,plain,(
% 0.19/0.41 inverse(sk_c4)=sk_c10|~spl0_2),
% 0.19/0.41 inference(component_clause,[status(thm)],[f109])).
% 0.19/0.41 fof(f112,plain,(
% 0.19/0.41 spl0_0|spl0_2),
% 0.19/0.41 inference(split_clause,[status(thm)],[f56,f102,f109])).
% 0.19/0.41 fof(f113,plain,(
% 0.19/0.41 spl0_3 <=> inverse(sk_c9)=sk_c8),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f114,plain,(
% 0.19/0.41 inverse(sk_c9)=sk_c8|~spl0_3),
% 0.19/0.41 inference(component_clause,[status(thm)],[f113])).
% 0.19/0.41 fof(f115,plain,(
% 0.19/0.41 ~inverse(sk_c9)=sk_c8|spl0_3),
% 0.19/0.41 inference(component_clause,[status(thm)],[f113])).
% 0.19/0.41 fof(f116,plain,(
% 0.19/0.41 spl0_0|spl0_3),
% 0.19/0.41 inference(split_clause,[status(thm)],[f57,f102,f113])).
% 0.19/0.41 fof(f117,plain,(
% 0.19/0.41 spl0_4 <=> multiply(sk_c10,sk_c8)=sk_c9),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f119,plain,(
% 0.19/0.41 ~multiply(sk_c10,sk_c8)=sk_c9|spl0_4),
% 0.19/0.41 inference(component_clause,[status(thm)],[f117])).
% 0.19/0.41 fof(f120,plain,(
% 0.19/0.41 spl0_0|spl0_4),
% 0.19/0.41 inference(split_clause,[status(thm)],[f58,f102,f117])).
% 0.19/0.41 fof(f121,plain,(
% 0.19/0.41 spl0_5 <=> inverse(sk_c5)=sk_c9),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f122,plain,(
% 0.19/0.41 inverse(sk_c5)=sk_c9|~spl0_5),
% 0.19/0.41 inference(component_clause,[status(thm)],[f121])).
% 0.19/0.41 fof(f124,plain,(
% 0.19/0.41 spl0_0|spl0_5),
% 0.19/0.41 inference(split_clause,[status(thm)],[f59,f102,f121])).
% 0.19/0.41 fof(f129,plain,(
% 0.19/0.41 spl0_7 <=> inverse(sk_c7)=sk_c6),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f130,plain,(
% 0.19/0.41 inverse(sk_c7)=sk_c6|~spl0_7),
% 0.19/0.41 inference(component_clause,[status(thm)],[f129])).
% 0.19/0.41 fof(f132,plain,(
% 0.19/0.41 spl0_0|spl0_7),
% 0.19/0.41 inference(split_clause,[status(thm)],[f61,f102,f129])).
% 0.19/0.41 fof(f133,plain,(
% 0.19/0.41 spl0_8 <=> inverse(sk_c6)=sk_c10),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f134,plain,(
% 0.19/0.41 inverse(sk_c6)=sk_c10|~spl0_8),
% 0.19/0.41 inference(component_clause,[status(thm)],[f133])).
% 0.19/0.41 fof(f136,plain,(
% 0.19/0.41 spl0_0|spl0_8),
% 0.19/0.41 inference(split_clause,[status(thm)],[f62,f102,f133])).
% 0.19/0.41 fof(f141,plain,(
% 0.19/0.41 spl0_10 <=> inverse(sk_c1)=sk_c9),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f142,plain,(
% 0.19/0.41 inverse(sk_c1)=sk_c9|~spl0_10),
% 0.19/0.41 inference(component_clause,[status(thm)],[f141])).
% 0.19/0.41 fof(f144,plain,(
% 0.19/0.41 spl0_10|spl0_1),
% 0.19/0.41 inference(split_clause,[status(thm)],[f64,f141,f105])).
% 0.19/0.41 fof(f145,plain,(
% 0.19/0.41 spl0_10|spl0_2),
% 0.19/0.41 inference(split_clause,[status(thm)],[f65,f141,f109])).
% 0.19/0.41 fof(f146,plain,(
% 0.19/0.41 spl0_10|spl0_3),
% 0.19/0.41 inference(split_clause,[status(thm)],[f66,f141,f113])).
% 0.19/0.41 fof(f147,plain,(
% 0.19/0.41 spl0_10|spl0_4),
% 0.19/0.41 inference(split_clause,[status(thm)],[f67,f141,f117])).
% 0.19/0.41 fof(f148,plain,(
% 0.19/0.41 spl0_10|spl0_5),
% 0.19/0.41 inference(split_clause,[status(thm)],[f68,f141,f121])).
% 0.19/0.41 fof(f150,plain,(
% 0.19/0.41 spl0_10|spl0_7),
% 0.19/0.41 inference(split_clause,[status(thm)],[f70,f141,f129])).
% 0.19/0.41 fof(f151,plain,(
% 0.19/0.41 spl0_10|spl0_8),
% 0.19/0.41 inference(split_clause,[status(thm)],[f71,f141,f133])).
% 0.19/0.41 fof(f153,plain,(
% 0.19/0.41 spl0_11 <=> multiply(sk_c10,sk_c3)=sk_c9),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f154,plain,(
% 0.19/0.41 multiply(sk_c10,sk_c3)=sk_c9|~spl0_11),
% 0.19/0.41 inference(component_clause,[status(thm)],[f153])).
% 0.19/0.41 fof(f156,plain,(
% 0.19/0.41 spl0_11|spl0_1),
% 0.19/0.41 inference(split_clause,[status(thm)],[f73,f153,f105])).
% 0.19/0.41 fof(f157,plain,(
% 0.19/0.41 spl0_11|spl0_2),
% 0.19/0.41 inference(split_clause,[status(thm)],[f74,f153,f109])).
% 0.19/0.41 fof(f158,plain,(
% 0.19/0.41 spl0_11|spl0_3),
% 0.19/0.41 inference(split_clause,[status(thm)],[f75,f153,f113])).
% 0.19/0.41 fof(f159,plain,(
% 0.19/0.41 spl0_11|spl0_4),
% 0.19/0.41 inference(split_clause,[status(thm)],[f76,f153,f117])).
% 0.19/0.41 fof(f162,plain,(
% 0.19/0.41 spl0_11|spl0_7),
% 0.19/0.41 inference(split_clause,[status(thm)],[f79,f153,f129])).
% 0.19/0.41 fof(f163,plain,(
% 0.19/0.41 spl0_11|spl0_8),
% 0.19/0.41 inference(split_clause,[status(thm)],[f80,f153,f133])).
% 0.19/0.41 fof(f165,plain,(
% 0.19/0.41 spl0_12 <=> multiply(sk_c2,sk_c10)=sk_c3),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f166,plain,(
% 0.19/0.41 multiply(sk_c2,sk_c10)=sk_c3|~spl0_12),
% 0.19/0.41 inference(component_clause,[status(thm)],[f165])).
% 0.19/0.41 fof(f168,plain,(
% 0.19/0.41 spl0_12|spl0_1),
% 0.19/0.41 inference(split_clause,[status(thm)],[f82,f165,f105])).
% 0.19/0.41 fof(f169,plain,(
% 0.19/0.41 spl0_12|spl0_2),
% 0.19/0.41 inference(split_clause,[status(thm)],[f83,f165,f109])).
% 0.19/0.41 fof(f170,plain,(
% 0.19/0.41 spl0_12|spl0_3),
% 0.19/0.41 inference(split_clause,[status(thm)],[f84,f165,f113])).
% 0.19/0.41 fof(f171,plain,(
% 0.19/0.41 spl0_12|spl0_4),
% 0.19/0.41 inference(split_clause,[status(thm)],[f85,f165,f117])).
% 0.19/0.41 fof(f174,plain,(
% 0.19/0.41 spl0_12|spl0_7),
% 0.19/0.41 inference(split_clause,[status(thm)],[f88,f165,f129])).
% 0.19/0.41 fof(f175,plain,(
% 0.19/0.41 spl0_12|spl0_8),
% 0.19/0.41 inference(split_clause,[status(thm)],[f89,f165,f133])).
% 0.19/0.41 fof(f177,plain,(
% 0.19/0.41 spl0_13 <=> inverse(sk_c2)=sk_c10),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f178,plain,(
% 0.19/0.41 inverse(sk_c2)=sk_c10|~spl0_13),
% 0.19/0.41 inference(component_clause,[status(thm)],[f177])).
% 0.19/0.41 fof(f180,plain,(
% 0.19/0.41 spl0_13|spl0_1),
% 0.19/0.41 inference(split_clause,[status(thm)],[f91,f177,f105])).
% 0.19/0.41 fof(f181,plain,(
% 0.19/0.41 spl0_13|spl0_2),
% 0.19/0.41 inference(split_clause,[status(thm)],[f92,f177,f109])).
% 0.19/0.41 fof(f182,plain,(
% 0.19/0.41 spl0_13|spl0_3),
% 0.19/0.41 inference(split_clause,[status(thm)],[f93,f177,f113])).
% 0.19/0.41 fof(f183,plain,(
% 0.19/0.41 spl0_13|spl0_4),
% 0.19/0.41 inference(split_clause,[status(thm)],[f94,f177,f117])).
% 0.19/0.41 fof(f186,plain,(
% 0.19/0.41 spl0_13|spl0_7),
% 0.19/0.41 inference(split_clause,[status(thm)],[f97,f177,f129])).
% 0.19/0.41 fof(f187,plain,(
% 0.19/0.41 spl0_13|spl0_8),
% 0.19/0.41 inference(split_clause,[status(thm)],[f98,f177,f133])).
% 0.19/0.41 fof(f189,plain,(
% 0.19/0.41 spl0_14 <=> multiply(sk_c9,sk_c10)=sk_c8),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f191,plain,(
% 0.19/0.41 ~multiply(sk_c9,sk_c10)=sk_c8|spl0_14),
% 0.19/0.41 inference(component_clause,[status(thm)],[f189])).
% 0.19/0.41 fof(f192,plain,(
% 0.19/0.41 spl0_15 <=> ~multiply(X0,sk_c9)=sk_c10|~inverse(X0)=sk_c9),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f193,plain,(
% 0.19/0.41 ![X0]: (~multiply(X0,sk_c9)=sk_c10|~inverse(X0)=sk_c9|~spl0_15)),
% 0.19/0.41 inference(component_clause,[status(thm)],[f192])).
% 0.19/0.41 fof(f195,plain,(
% 0.19/0.41 spl0_16 <=> ~multiply(sk_c10,X1)=sk_c9|~multiply(X2,sk_c10)=X1|~inverse(X2)=sk_c10),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f196,plain,(
% 0.19/0.41 ![X0,X1]: (~multiply(sk_c10,X0)=sk_c9|~multiply(X1,sk_c10)=X0|~inverse(X1)=sk_c10|~spl0_16)),
% 0.19/0.41 inference(component_clause,[status(thm)],[f195])).
% 0.19/0.41 fof(f198,plain,(
% 0.19/0.41 spl0_17 <=> ~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f199,plain,(
% 0.19/0.41 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~spl0_17)),
% 0.19/0.41 inference(component_clause,[status(thm)],[f198])).
% 0.19/0.41 fof(f201,plain,(
% 0.19/0.41 spl0_18 <=> ~inverse(X4)=sk_c9|~multiply(X4,sk_c8)=sk_c9),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f202,plain,(
% 0.19/0.41 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~spl0_18)),
% 0.19/0.41 inference(component_clause,[status(thm)],[f201])).
% 0.19/0.41 fof(f204,plain,(
% 0.19/0.41 spl0_19 <=> ~inverse(X5)=X6|~inverse(X6)=sk_c10|~multiply(X5,sk_c10)=X6),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f205,plain,(
% 0.19/0.41 ![X0,X1]: (~inverse(X0)=X1|~inverse(X1)=sk_c10|~multiply(X0,sk_c10)=X1|~spl0_19)),
% 0.19/0.41 inference(component_clause,[status(thm)],[f204])).
% 0.19/0.41 fof(f207,plain,(
% 0.19/0.41 ~spl0_14|spl0_15|spl0_16|spl0_17|~spl0_3|~spl0_4|spl0_18|spl0_19),
% 0.19/0.41 inference(split_clause,[status(thm)],[f101,f189,f192,f195,f198,f113,f117,f201,f204])).
% 0.19/0.41 fof(f216,plain,(
% 0.19/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f52,f53])).
% 0.19/0.41 fof(f217,plain,(
% 0.19/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f51,f216])).
% 0.19/0.41 fof(f218,plain,(
% 0.19/0.41 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f217,f217])).
% 0.19/0.41 fof(f219,plain,(
% 0.19/0.41 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f52,f217])).
% 0.19/0.41 fof(f220,plain,(
% 0.19/0.41 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f51,f217])).
% 0.19/0.41 fof(f221,plain,(
% 0.19/0.41 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f53,f217])).
% 0.19/0.41 fof(f223,plain,(
% 0.19/0.41 sk_c10=multiply(inverse(sk_c9),sk_c8)),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f54,f217])).
% 0.19/0.41 fof(f228,plain,(
% 0.19/0.41 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f220,f217])).
% 0.19/0.41 fof(f236,plain,(
% 0.19/0.41 inverse(identity)=identity),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f52,f228])).
% 0.19/0.41 fof(f248,plain,(
% 0.19/0.41 ![X0]: (X0=multiply(X0,identity))),
% 0.19/0.41 inference(backward_demodulation,[status(thm)],[f218,f219])).
% 0.19/0.41 fof(f249,plain,(
% 0.19/0.41 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f217,f218])).
% 0.19/0.41 fof(f250,plain,(
% 0.19/0.41 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f52,f218])).
% 0.19/0.41 fof(f260,plain,(
% 0.19/0.41 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f218,f248])).
% 0.19/0.41 fof(f261,plain,(
% 0.19/0.41 ![X0]: (inverse(inverse(X0))=X0)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f248,f260])).
% 0.19/0.41 fof(f301,plain,(
% 0.19/0.41 ![X0,X1]: (X0=multiply(inverse(multiply(inverse(multiply(X1,X0)),X1)),identity))),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f52,f221])).
% 0.19/0.41 fof(f302,plain,(
% 0.19/0.41 ![X0,X1]: (X0=inverse(multiply(inverse(multiply(X1,X0)),X1)))),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f248,f301])).
% 0.19/0.41 fof(f318,plain,(
% 0.19/0.41 ![X0]: (sk_c10=multiply(inverse(multiply(X0,sk_c9)),multiply(X0,sk_c8)))),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f54,f221])).
% 0.19/0.41 fof(f378,plain,(
% 0.19/0.41 ![X0,X1,X2]: (multiply(inverse(X0),X1)=multiply(inverse(multiply(X2,X0)),multiply(X2,X1)))),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f249,f221])).
% 0.19/0.41 fof(f401,plain,(
% 0.19/0.41 sk_c8=inverse(multiply(inverse(sk_c10),inverse(sk_c9)))),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f223,f302])).
% 0.19/0.41 fof(f606,plain,(
% 0.19/0.41 inverse(sk_c10)=sk_c2|~spl0_13),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f178,f261])).
% 0.19/0.41 fof(f611,plain,(
% 0.19/0.41 multiply(sk_c1,sk_c9)=identity|~spl0_10),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f142,f250])).
% 0.19/0.41 fof(f621,plain,(
% 0.19/0.41 multiply(sk_c2,sk_c10)=identity|~spl0_13),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f606,f52])).
% 0.19/0.41 fof(f630,plain,(
% 0.19/0.41 ~sk_c8=sk_c8|spl0_14),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f54,f191])).
% 0.19/0.41 fof(f631,plain,(
% 0.19/0.41 $false|spl0_14),
% 0.19/0.41 inference(trivial_equality_resolution,[status(esa)],[f630])).
% 0.19/0.41 fof(f632,plain,(
% 0.19/0.41 spl0_14),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f631])).
% 0.19/0.41 fof(f633,plain,(
% 0.19/0.41 ![X0]: (~inverse(inverse(X0))=sk_c10|~multiply(X0,sk_c10)=inverse(X0)|~spl0_19)),
% 0.19/0.41 inference(destructive_equality_resolution,[status(esa)],[f205])).
% 0.19/0.41 fof(f639,plain,(
% 0.19/0.41 sk_c10=multiply(inverse(sk_c2),sk_c3)|~spl0_12),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f166,f217])).
% 0.19/0.41 fof(f640,plain,(
% 0.19/0.41 sk_c10=multiply(sk_c10,sk_c3)|~spl0_13|~spl0_12),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f178,f639])).
% 0.19/0.41 fof(f655,plain,(
% 0.19/0.41 inverse(sk_c6)=sk_c7|~spl0_7),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f130,f261])).
% 0.19/0.41 fof(f656,plain,(
% 0.19/0.41 sk_c10=sk_c7|~spl0_8|~spl0_7),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f134,f655])).
% 0.19/0.41 fof(f658,plain,(
% 0.19/0.41 multiply(sk_c6,sk_c7)=identity|~spl0_7),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f130,f52])).
% 0.19/0.41 fof(f663,plain,(
% 0.19/0.41 inverse(sk_c9)=sk_c5|~spl0_5),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f122,f261])).
% 0.19/0.41 fof(f747,plain,(
% 0.19/0.41 sk_c10=identity|~spl0_0|~spl0_10),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f103,f611])).
% 0.19/0.41 fof(f755,plain,(
% 0.19/0.41 multiply(identity,sk_c3)=sk_c9|~spl0_0|~spl0_10|~spl0_11),
% 0.19/0.41 inference(backward_demodulation,[status(thm)],[f747,f154])).
% 0.19/0.41 fof(f756,plain,(
% 0.19/0.41 sk_c3=sk_c9|~spl0_0|~spl0_10|~spl0_11),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f51,f755])).
% 0.19/0.41 fof(f832,plain,(
% 0.19/0.41 sk_c8=inverse(multiply(inverse(identity),inverse(sk_c9)))|~spl0_0|~spl0_10),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f747,f401])).
% 0.19/0.41 fof(f833,plain,(
% 0.19/0.41 sk_c8=inverse(multiply(identity,inverse(sk_c9)))|~spl0_0|~spl0_10),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f236,f832])).
% 0.19/0.41 fof(f834,plain,(
% 0.19/0.41 sk_c8=inverse(inverse(sk_c9))|~spl0_0|~spl0_10),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f51,f833])).
% 0.19/0.41 fof(f835,plain,(
% 0.19/0.41 sk_c8=sk_c9|~spl0_0|~spl0_10),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f261,f834])).
% 0.19/0.41 fof(f1255,plain,(
% 0.19/0.41 ![X0]: (~X0=sk_c10|~multiply(X0,sk_c10)=inverse(X0)|~spl0_19)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f261,f633])).
% 0.19/0.41 fof(f1256,plain,(
% 0.19/0.41 ![X0]: (~X0=identity|~multiply(X0,sk_c10)=inverse(X0)|~spl0_0|~spl0_10|~spl0_19)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f747,f1255])).
% 0.19/0.41 fof(f1257,plain,(
% 0.19/0.41 ![X0]: (~X0=identity|~multiply(X0,identity)=inverse(X0)|~spl0_0|~spl0_10|~spl0_19)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f747,f1256])).
% 0.19/0.41 fof(f1258,plain,(
% 0.19/0.41 ![X0]: (~X0=identity|~X0=inverse(X0)|~spl0_0|~spl0_10|~spl0_19)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f248,f1257])).
% 0.19/0.41 fof(f1259,plain,(
% 0.19/0.41 ~identity=inverse(identity)|~spl0_0|~spl0_10|~spl0_19),
% 0.19/0.41 inference(destructive_equality_resolution,[status(esa)],[f1258])).
% 0.19/0.41 fof(f1260,plain,(
% 0.19/0.41 $false|~spl0_0|~spl0_10|~spl0_19),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1259,f236])).
% 0.19/0.41 fof(f1261,plain,(
% 0.19/0.41 ~spl0_0|~spl0_10|~spl0_19),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f1260])).
% 0.19/0.41 fof(f1301,plain,(
% 0.19/0.41 inverse(sk_c10)=sk_c4|~spl0_2),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f110,f261])).
% 0.19/0.41 fof(f1322,plain,(
% 0.19/0.41 spl0_20 <=> inverse(inverse(sk_c8))=sk_c9),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f1323,plain,(
% 0.19/0.41 inverse(inverse(sk_c8))=sk_c9|~spl0_20),
% 0.19/0.41 inference(component_clause,[status(thm)],[f1322])).
% 0.19/0.41 fof(f1324,plain,(
% 0.19/0.41 ~inverse(inverse(sk_c8))=sk_c9|spl0_20),
% 0.19/0.41 inference(component_clause,[status(thm)],[f1322])).
% 0.19/0.41 fof(f1325,plain,(
% 0.19/0.41 spl0_21 <=> identity=sk_c9),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f1326,plain,(
% 0.19/0.41 identity=sk_c9|~spl0_21),
% 0.19/0.41 inference(component_clause,[status(thm)],[f1325])).
% 0.19/0.41 fof(f1327,plain,(
% 0.19/0.41 ~identity=sk_c9|spl0_21),
% 0.19/0.41 inference(component_clause,[status(thm)],[f1325])).
% 0.19/0.41 fof(f1328,plain,(
% 0.19/0.41 ~inverse(inverse(sk_c8))=sk_c9|~identity=sk_c9|~spl0_18),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f52,f202])).
% 0.19/0.41 fof(f1329,plain,(
% 0.19/0.41 ~spl0_20|~spl0_21|~spl0_18),
% 0.19/0.41 inference(split_clause,[status(thm)],[f1328,f1322,f1325,f201])).
% 0.19/0.41 fof(f1330,plain,(
% 0.19/0.41 spl0_22 <=> inverse(identity)=sk_c9),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f1333,plain,(
% 0.19/0.41 spl0_23 <=> sk_c8=sk_c9),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f1335,plain,(
% 0.19/0.41 ~sk_c8=sk_c9|spl0_23),
% 0.19/0.41 inference(component_clause,[status(thm)],[f1333])).
% 0.19/0.41 fof(f1336,plain,(
% 0.19/0.41 ~inverse(identity)=sk_c9|~sk_c8=sk_c9|~spl0_18),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f51,f202])).
% 0.19/0.41 fof(f1337,plain,(
% 0.19/0.41 ~spl0_22|~spl0_23|~spl0_18),
% 0.19/0.41 inference(split_clause,[status(thm)],[f1336,f1330,f1333,f201])).
% 0.19/0.41 fof(f1340,plain,(
% 0.19/0.41 ~sk_c8=sk_c9|spl0_20),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f261,f1324])).
% 0.19/0.41 fof(f2390,plain,(
% 0.19/0.41 ~spl0_23|spl0_20),
% 0.19/0.41 inference(split_clause,[status(thm)],[f1340,f1333,f1322])).
% 0.19/0.41 fof(f2391,plain,(
% 0.19/0.41 ![X0]: (~multiply(sk_c10,multiply(X0,sk_c10))=sk_c9|~inverse(X0)=sk_c10|~spl0_16)),
% 0.19/0.41 inference(destructive_equality_resolution,[status(esa)],[f196])).
% 0.19/0.41 fof(f2402,plain,(
% 0.19/0.41 spl0_23|~spl0_0|~spl0_10),
% 0.19/0.41 inference(split_clause,[status(thm)],[f835,f1333,f102,f141])).
% 0.19/0.41 fof(f2407,plain,(
% 0.19/0.41 sk_c10=multiply(inverse(sk_c9),sk_c8)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f378,f318])).
% 0.19/0.41 fof(f2427,plain,(
% 0.19/0.41 inverse(sk_c10)=sk_c6|~spl0_8|~spl0_7),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f656,f130])).
% 0.19/0.41 fof(f2428,plain,(
% 0.19/0.41 sk_c4=sk_c6|~spl0_2|~spl0_8|~spl0_7),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f1301,f2427])).
% 0.19/0.41 fof(f2467,plain,(
% 0.19/0.41 spl0_24 <=> inverse(inverse(sk_c10))=sk_c10),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f2469,plain,(
% 0.19/0.41 ~inverse(inverse(sk_c10))=sk_c10|spl0_24),
% 0.19/0.41 inference(component_clause,[status(thm)],[f2467])).
% 0.19/0.41 fof(f2470,plain,(
% 0.19/0.41 ~identity=sk_c9|~inverse(inverse(sk_c10))=sk_c10|~spl0_17),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f52,f199])).
% 0.19/0.41 fof(f2471,plain,(
% 0.19/0.41 ~spl0_21|~spl0_24|~spl0_17),
% 0.19/0.41 inference(split_clause,[status(thm)],[f2470,f1325,f2467,f198])).
% 0.19/0.41 fof(f2472,plain,(
% 0.19/0.41 spl0_25 <=> sk_c10=sk_c9),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f2474,plain,(
% 0.19/0.41 ~sk_c10=sk_c9|spl0_25),
% 0.19/0.41 inference(component_clause,[status(thm)],[f2472])).
% 0.19/0.41 fof(f2475,plain,(
% 0.19/0.41 spl0_26 <=> inverse(identity)=sk_c10),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f2476,plain,(
% 0.19/0.41 inverse(identity)=sk_c10|~spl0_26),
% 0.19/0.41 inference(component_clause,[status(thm)],[f2475])).
% 0.19/0.41 fof(f2477,plain,(
% 0.19/0.41 ~inverse(identity)=sk_c10|spl0_26),
% 0.19/0.41 inference(component_clause,[status(thm)],[f2475])).
% 0.19/0.41 fof(f2478,plain,(
% 0.19/0.41 ~sk_c10=sk_c9|~inverse(identity)=sk_c10|~spl0_17),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f51,f199])).
% 0.19/0.41 fof(f2479,plain,(
% 0.19/0.41 ~spl0_25|~spl0_26|~spl0_17),
% 0.19/0.41 inference(split_clause,[status(thm)],[f2478,f2472,f2475,f198])).
% 0.19/0.41 fof(f2481,plain,(
% 0.19/0.41 ~identity=sk_c10|spl0_26),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f236,f2477])).
% 0.19/0.41 fof(f2482,plain,(
% 0.19/0.41 ~sk_c10=sk_c10|spl0_24),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f261,f2469])).
% 0.19/0.41 fof(f2483,plain,(
% 0.19/0.41 $false|spl0_24),
% 0.19/0.41 inference(trivial_equality_resolution,[status(esa)],[f2482])).
% 0.19/0.41 fof(f2484,plain,(
% 0.19/0.41 spl0_24),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f2483])).
% 0.19/0.41 fof(f2491,plain,(
% 0.19/0.41 inverse(sk_c9)=sk_c5|~spl0_5),
% 0.19/0.41 inference(paramodulation,[status(thm)],[f122,f261])).
% 0.19/0.41 fof(f2492,plain,(
% 0.19/0.41 sk_c8=sk_c5|~spl0_3|~spl0_5),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f114,f2491])).
% 0.19/0.41 fof(f2527,plain,(
% 0.19/0.41 multiply(sk_c4,sk_c7)=identity|~spl0_2|~spl0_8|~spl0_7),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f2428,f658])).
% 0.19/0.41 fof(f2528,plain,(
% 0.19/0.41 multiply(sk_c4,sk_c10)=identity|~spl0_2|~spl0_8|~spl0_7),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f656,f2527])).
% 0.19/0.41 fof(f2611,plain,(
% 0.19/0.41 identity=sk_c9|~spl0_2|~spl0_8|~spl0_7|~spl0_1),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f2528,f106])).
% 0.19/0.41 fof(f2612,plain,(
% 0.19/0.41 $false|spl0_21|~spl0_2|~spl0_8|~spl0_7|~spl0_1),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f2611,f1327])).
% 0.19/0.41 fof(f2613,plain,(
% 0.19/0.41 spl0_21|~spl0_2|~spl0_8|~spl0_7|~spl0_1),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f2612])).
% 0.19/0.41 fof(f2614,plain,(
% 0.19/0.41 $false|spl0_26|~spl0_0|~spl0_10),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f747,f2481])).
% 0.19/0.41 fof(f2615,plain,(
% 0.19/0.41 spl0_26|~spl0_0|~spl0_10),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f2614])).
% 0.19/0.41 fof(f2618,plain,(
% 0.19/0.41 sk_c10=sk_c9|~spl0_11|~spl0_13|~spl0_12),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f154,f640])).
% 0.19/0.41 fof(f2619,plain,(
% 0.19/0.41 $false|spl0_25|~spl0_11|~spl0_13|~spl0_12),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f2618,f2474])).
% 0.19/0.41 fof(f2620,plain,(
% 0.19/0.41 spl0_25|~spl0_11|~spl0_13|~spl0_12),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f2619])).
% 0.19/0.41 fof(f2621,plain,(
% 0.19/0.41 sk_c3=identity|~spl0_12|~spl0_13),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f166,f621])).
% 0.19/0.41 fof(f2628,plain,(
% 0.19/0.41 sk_c8=sk_c9|~spl0_20),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f261,f1323])).
% 0.19/0.41 fof(f2629,plain,(
% 0.19/0.41 identity=sk_c10|~spl0_26),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f236,f2476])).
% 0.19/0.41 fof(f2818,plain,(
% 0.19/0.41 sk_c9=identity|~spl0_0|~spl0_10|~spl0_11|~spl0_12|~spl0_13),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f756,f2621])).
% 0.19/0.41 fof(f2819,plain,(
% 0.19/0.41 $false|spl0_21|~spl0_0|~spl0_10|~spl0_11|~spl0_12|~spl0_13),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f2818,f1327])).
% 0.19/0.41 fof(f2820,plain,(
% 0.19/0.41 spl0_21|~spl0_0|~spl0_10|~spl0_11|~spl0_12|~spl0_13),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f2819])).
% 0.19/0.41 fof(f2836,plain,(
% 0.19/0.41 ~sk_c8=identity|~spl0_2|~spl0_8|~spl0_7|~spl0_1|spl0_23),
% 0.19/0.41 inference(backward_demodulation,[status(thm)],[f2611,f1335])).
% 0.19/0.41 fof(f2850,plain,(
% 0.19/0.41 sk_c10=multiply(inverse(identity),sk_c8)|~spl0_2|~spl0_8|~spl0_7|~spl0_1),
% 0.19/0.41 inference(backward_demodulation,[status(thm)],[f2611,f2407])).
% 0.19/0.41 fof(f2851,plain,(
% 0.19/0.41 sk_c10=multiply(identity,sk_c8)|~spl0_2|~spl0_8|~spl0_7|~spl0_1),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f236,f2850])).
% 0.19/0.41 fof(f2852,plain,(
% 0.19/0.41 sk_c10=sk_c8|~spl0_2|~spl0_8|~spl0_7|~spl0_1),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f51,f2851])).
% 0.19/0.41 fof(f2856,plain,(
% 0.19/0.41 ~sk_c10=identity|~spl0_2|~spl0_8|~spl0_7|~spl0_1|spl0_23),
% 0.19/0.41 inference(backward_demodulation,[status(thm)],[f2852,f2836])).
% 0.19/0.41 fof(f2857,plain,(
% 0.19/0.41 sk_c10=sk_c5|~spl0_2|~spl0_8|~spl0_7|~spl0_1|~spl0_3|~spl0_5),
% 0.19/0.41 inference(backward_demodulation,[status(thm)],[f2852,f2492])).
% 0.19/0.41 fof(f2882,plain,(
% 0.19/0.41 spl0_29 <=> multiply(sk_c10,sk_c10)=identity),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f2884,plain,(
% 0.19/0.41 ~multiply(sk_c10,sk_c10)=identity|spl0_29),
% 0.19/0.41 inference(component_clause,[status(thm)],[f2882])).
% 0.19/0.41 fof(f2911,plain,(
% 0.19/0.41 inverse(identity)=sk_c5|~spl0_2|~spl0_8|~spl0_7|~spl0_1|~spl0_5),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f2611,f663])).
% 0.19/0.41 fof(f2912,plain,(
% 0.19/0.41 identity=sk_c5|~spl0_2|~spl0_8|~spl0_7|~spl0_1|~spl0_5),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f236,f2911])).
% 0.19/0.41 fof(f2913,plain,(
% 0.19/0.41 identity=sk_c10|~spl0_3|~spl0_2|~spl0_8|~spl0_7|~spl0_1|~spl0_5),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f2857,f2912])).
% 0.19/0.41 fof(f2914,plain,(
% 0.19/0.41 $false|spl0_23|~spl0_3|~spl0_2|~spl0_8|~spl0_7|~spl0_1|~spl0_5),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f2913,f2856])).
% 0.19/0.41 fof(f2915,plain,(
% 0.19/0.41 spl0_23|~spl0_3|~spl0_2|~spl0_8|~spl0_7|~spl0_1|~spl0_5),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f2914])).
% 0.19/0.41 fof(f2984,plain,(
% 0.19/0.41 sk_c10=sk_c9|~spl0_2|~spl0_8|~spl0_7|~spl0_1|~spl0_20),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f2852,f2628])).
% 0.19/0.41 fof(f2985,plain,(
% 0.19/0.41 sk_c10=identity|~spl0_2|~spl0_8|~spl0_7|~spl0_1|~spl0_20),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f2611,f2984])).
% 0.19/0.41 fof(f2986,plain,(
% 0.19/0.41 $false|spl0_26|~spl0_3|~spl0_2|~spl0_8|~spl0_7|~spl0_1|~spl0_5),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f2913,f2481])).
% 0.19/0.41 fof(f2987,plain,(
% 0.19/0.41 spl0_26|~spl0_3|~spl0_2|~spl0_8|~spl0_7|~spl0_1|~spl0_5),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f2986])).
% 0.19/0.41 fof(f4318,plain,(
% 0.19/0.41 ![X0]: (~X0=identity|~multiply(X0,sk_c10)=inverse(X0)|~spl0_2|~spl0_8|~spl0_7|~spl0_1|~spl0_20|~spl0_19)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f2985,f1255])).
% 0.19/0.41 fof(f4319,plain,(
% 0.19/0.41 ![X0]: (~X0=identity|~multiply(X0,identity)=inverse(X0)|~spl0_2|~spl0_8|~spl0_7|~spl0_1|~spl0_20|~spl0_19)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f2985,f4318])).
% 0.19/0.41 fof(f4320,plain,(
% 0.19/0.41 ![X0]: (~X0=identity|~X0=inverse(X0)|~spl0_2|~spl0_8|~spl0_7|~spl0_1|~spl0_20|~spl0_19)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f248,f4319])).
% 0.19/0.41 fof(f4321,plain,(
% 0.19/0.41 ~identity=inverse(identity)|~spl0_2|~spl0_8|~spl0_7|~spl0_1|~spl0_20|~spl0_19),
% 0.19/0.41 inference(destructive_equality_resolution,[status(esa)],[f4320])).
% 0.19/0.41 fof(f4322,plain,(
% 0.19/0.41 $false|~spl0_2|~spl0_8|~spl0_7|~spl0_1|~spl0_20|~spl0_19),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f4321,f236])).
% 0.19/0.41 fof(f4323,plain,(
% 0.19/0.41 ~spl0_2|~spl0_8|~spl0_7|~spl0_1|~spl0_20|~spl0_19),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f4322])).
% 0.19/0.41 fof(f4333,plain,(
% 0.19/0.41 sk_c8=identity|~spl0_21|~spl0_20),
% 0.19/0.41 inference(backward_demodulation,[status(thm)],[f1326,f2628])).
% 0.19/0.41 fof(f4594,plain,(
% 0.19/0.41 ![X0]: (~multiply(X0,identity)=sk_c10|~inverse(X0)=sk_c9|~spl0_21|~spl0_15)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f1326,f193])).
% 0.19/0.41 fof(f4595,plain,(
% 0.19/0.41 ![X0]: (~X0=sk_c10|~inverse(X0)=sk_c9|~spl0_21|~spl0_15)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f248,f4594])).
% 0.19/0.41 fof(f4596,plain,(
% 0.19/0.41 ![X0]: (~X0=identity|~inverse(X0)=sk_c9|~spl0_26|~spl0_21|~spl0_15)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f2629,f4595])).
% 0.19/0.41 fof(f4597,plain,(
% 0.19/0.41 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_26|~spl0_21|~spl0_15)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f1326,f4596])).
% 0.19/0.41 fof(f4598,plain,(
% 0.19/0.41 ~inverse(identity)=identity|~spl0_26|~spl0_21|~spl0_15),
% 0.19/0.41 inference(destructive_equality_resolution,[status(esa)],[f4597])).
% 0.19/0.41 fof(f4599,plain,(
% 0.19/0.41 $false|~spl0_26|~spl0_21|~spl0_15),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f4598,f236])).
% 0.19/0.41 fof(f4600,plain,(
% 0.19/0.41 ~spl0_26|~spl0_21|~spl0_15),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f4599])).
% 0.19/0.41 fof(f4601,plain,(
% 0.19/0.41 ~multiply(identity,sk_c8)=sk_c9|~spl0_26|spl0_4),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f2629,f119])).
% 0.19/0.41 fof(f4602,plain,(
% 0.19/0.41 ~sk_c8=sk_c9|~spl0_26|spl0_4),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f51,f4601])).
% 0.19/0.41 fof(f4603,plain,(
% 0.19/0.41 ~identity=sk_c9|~spl0_21|~spl0_20|~spl0_26|spl0_4),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f4333,f4602])).
% 0.19/0.41 fof(f4604,plain,(
% 0.19/0.41 ~identity=identity|~spl0_21|~spl0_20|~spl0_26|spl0_4),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f1326,f4603])).
% 0.19/0.41 fof(f4605,plain,(
% 0.19/0.41 $false|~spl0_21|~spl0_20|~spl0_26|spl0_4),
% 0.19/0.41 inference(trivial_equality_resolution,[status(esa)],[f4604])).
% 0.19/0.41 fof(f4606,plain,(
% 0.19/0.41 ~spl0_21|~spl0_20|~spl0_26|spl0_4),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f4605])).
% 0.19/0.41 fof(f4608,plain,(
% 0.19/0.41 ![X0]: (~multiply(identity,multiply(X0,sk_c10))=sk_c9|~inverse(X0)=sk_c10|~spl0_26|~spl0_16)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f2629,f2391])).
% 0.19/0.41 fof(f4609,plain,(
% 0.19/0.41 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~spl0_26|~spl0_16)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f51,f4608])).
% 0.19/0.41 fof(f4610,plain,(
% 0.19/0.41 ![X0]: (~multiply(X0,identity)=sk_c9|~inverse(X0)=sk_c10|~spl0_26|~spl0_16)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f2629,f4609])).
% 0.19/0.41 fof(f4611,plain,(
% 0.19/0.41 ![X0]: (~X0=sk_c9|~inverse(X0)=sk_c10|~spl0_26|~spl0_16)),
% 0.19/0.43 inference(forward_demodulation,[status(thm)],[f248,f4610])).
% 0.19/0.43 fof(f4612,plain,(
% 0.19/0.43 ![X0]: (~X0=identity|~inverse(X0)=sk_c10|~spl0_21|~spl0_26|~spl0_16)),
% 0.19/0.43 inference(forward_demodulation,[status(thm)],[f1326,f4611])).
% 0.19/0.43 fof(f4613,plain,(
% 0.19/0.43 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_21|~spl0_26|~spl0_16)),
% 0.19/0.43 inference(forward_demodulation,[status(thm)],[f2629,f4612])).
% 0.19/0.43 fof(f4614,plain,(
% 0.19/0.43 ~inverse(identity)=identity|~spl0_21|~spl0_26|~spl0_16),
% 0.19/0.43 inference(destructive_equality_resolution,[status(esa)],[f4613])).
% 0.19/0.43 fof(f4615,plain,(
% 0.19/0.43 $false|~spl0_21|~spl0_26|~spl0_16),
% 0.19/0.43 inference(forward_subsumption_resolution,[status(thm)],[f4614,f236])).
% 0.19/0.43 fof(f4616,plain,(
% 0.19/0.43 ~spl0_21|~spl0_26|~spl0_16),
% 0.19/0.43 inference(contradiction_clause,[status(thm)],[f4615])).
% 0.19/0.43 fof(f4669,plain,(
% 0.19/0.43 ~multiply(identity,sk_c10)=identity|~spl0_26|spl0_29),
% 0.19/0.43 inference(forward_demodulation,[status(thm)],[f2629,f2884])).
% 0.19/0.43 fof(f4670,plain,(
% 0.19/0.43 ~sk_c10=identity|~spl0_26|spl0_29),
% 0.19/0.43 inference(forward_demodulation,[status(thm)],[f51,f4669])).
% 0.19/0.43 fof(f4671,plain,(
% 0.19/0.43 ~identity=identity|~spl0_26|spl0_29),
% 0.19/0.43 inference(forward_demodulation,[status(thm)],[f2629,f4670])).
% 0.19/0.43 fof(f4672,plain,(
% 0.19/0.43 $false|~spl0_26|spl0_29),
% 0.19/0.43 inference(trivial_equality_resolution,[status(esa)],[f4671])).
% 0.19/0.43 fof(f4673,plain,(
% 0.19/0.43 ~spl0_26|spl0_29),
% 0.19/0.43 inference(contradiction_clause,[status(thm)],[f4672])).
% 0.19/0.43 fof(f4674,plain,(
% 0.19/0.43 ~inverse(identity)=sk_c8|~spl0_21|spl0_3),
% 0.19/0.43 inference(forward_demodulation,[status(thm)],[f1326,f115])).
% 0.19/0.43 fof(f4675,plain,(
% 0.19/0.43 ~identity=sk_c8|~spl0_21|spl0_3),
% 0.19/0.43 inference(forward_demodulation,[status(thm)],[f236,f4674])).
% 0.19/0.43 fof(f4676,plain,(
% 0.19/0.43 ~identity=identity|~spl0_20|~spl0_21|spl0_3),
% 0.19/0.43 inference(forward_demodulation,[status(thm)],[f4333,f4675])).
% 0.19/0.43 fof(f4677,plain,(
% 0.19/0.43 $false|~spl0_20|~spl0_21|spl0_3),
% 0.19/0.43 inference(trivial_equality_resolution,[status(esa)],[f4676])).
% 0.19/0.43 fof(f4678,plain,(
% 0.19/0.43 ~spl0_20|~spl0_21|spl0_3),
% 0.19/0.43 inference(contradiction_clause,[status(thm)],[f4677])).
% 0.19/0.43 fof(f4679,plain,(
% 0.19/0.43 $false),
% 0.19/0.43 inference(sat_refutation,[status(thm)],[f108,f112,f116,f120,f124,f132,f136,f144,f145,f146,f147,f148,f150,f151,f156,f157,f158,f159,f162,f163,f168,f169,f170,f171,f174,f175,f180,f181,f182,f183,f186,f187,f207,f632,f1261,f1329,f1337,f2390,f2402,f2471,f2479,f2484,f2613,f2615,f2620,f2820,f2915,f2987,f4323,f4600,f4606,f4616,f4673,f4678])).
% 0.19/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.43 % Elapsed time: 0.085886 seconds
% 0.19/0.43 % CPU time: 0.528903 seconds
% 0.19/0.43 % Memory used: 43.885 MB
%------------------------------------------------------------------------------