TSTP Solution File: GRP283-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP283-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:11:12 EDT 2023
% Result : Unsatisfiable 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP283-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n014.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue May 30 11:23:48 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.5.1
% 0.16/0.46 % Refutation found
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.46 fof(f1,axiom,(
% 0.16/0.46 (![X]: (multiply(identity,X) = X ))),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f2,axiom,(
% 0.16/0.46 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f3,axiom,(
% 0.16/0.46 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f4,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f5,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c7) = sk_c6 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f6,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f8,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f9,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c5) = sk_c8 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f10,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f11,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c7) = sk_c6 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f12,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f13,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f14,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f15,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f16,negated_conjecture,(
% 0.16/0.46 ( inverse(sk_c1) = sk_c8| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f17,negated_conjecture,(
% 0.16/0.46 ( inverse(sk_c1) = sk_c8| inverse(sk_c7) = sk_c6 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f18,negated_conjecture,(
% 0.16/0.46 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f19,negated_conjecture,(
% 0.16/0.46 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f20,negated_conjecture,(
% 0.16/0.46 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f21,negated_conjecture,(
% 0.16/0.46 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f22,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f23,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c7) = sk_c6 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f24,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f25,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f26,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.46 fof(f27,negated_conjecture,(
% 0.16/0.46 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f28,negated_conjecture,(
% 0.16/0.47 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f29,negated_conjecture,(
% 0.16/0.47 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c7) = sk_c6 ) ),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f30,negated_conjecture,(
% 0.16/0.47 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f31,negated_conjecture,(
% 0.16/0.47 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c4) = sk_c7 ) ),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f32,negated_conjecture,(
% 0.16/0.47 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f33,negated_conjecture,(
% 0.16/0.47 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f34,negated_conjecture,(
% 0.16/0.47 ( inverse(sk_c2) = sk_c8| multiply(sk_c7,sk_c6) = sk_c8 ) ),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f35,negated_conjecture,(
% 0.16/0.47 ( inverse(sk_c2) = sk_c8| inverse(sk_c7) = sk_c6 ) ),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f36,negated_conjecture,(
% 0.16/0.47 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f37,negated_conjecture,(
% 0.16/0.47 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f38,negated_conjecture,(
% 0.16/0.47 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f39,negated_conjecture,(
% 0.16/0.47 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f40,negated_conjecture,(
% 0.16/0.47 (![X3,X4,X5,X1,X2]: (( multiply(sk_c8,sk_c7) != sk_c6| multiply(X3,sk_c8) != sk_c7| inverse(X3) != sk_c8| multiply(sk_c8,X4) != sk_c7| multiply(X5,sk_c8) != X4| inverse(X5) != sk_c8| multiply(sk_c7,sk_c6) != sk_c8| inverse(sk_c7) != sk_c6| multiply(X1,sk_c7) != sk_c8| inverse(X1) != sk_c7| multiply(X2,sk_c8) != sk_c6| inverse(X2) != sk_c8 ) ))),
% 0.16/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f41,plain,(
% 0.16/0.47 ![X0]: (multiply(identity,X0)=X0)),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f1])).
% 0.16/0.47 fof(f42,plain,(
% 0.16/0.47 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f2])).
% 0.16/0.47 fof(f43,plain,(
% 0.16/0.47 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f3])).
% 0.16/0.47 fof(f44,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c7,sk_c6)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f4])).
% 0.16/0.47 fof(f45,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c7)=sk_c6),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f5])).
% 0.16/0.47 fof(f46,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f6])).
% 0.16/0.47 fof(f48,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c5,sk_c8)=sk_c6),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f8])).
% 0.16/0.47 fof(f49,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c5)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f9])).
% 0.16/0.47 fof(f50,plain,(
% 0.16/0.47 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c7,sk_c6)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f10])).
% 0.16/0.47 fof(f51,plain,(
% 0.16/0.47 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c7)=sk_c6),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f11])).
% 0.16/0.47 fof(f52,plain,(
% 0.16/0.47 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f12])).
% 0.16/0.47 fof(f53,plain,(
% 0.16/0.47 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f13])).
% 0.16/0.47 fof(f54,plain,(
% 0.16/0.47 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f14])).
% 0.16/0.47 fof(f55,plain,(
% 0.16/0.47 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f15])).
% 0.16/0.47 fof(f56,plain,(
% 0.16/0.47 inverse(sk_c1)=sk_c8|multiply(sk_c7,sk_c6)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f16])).
% 0.16/0.47 fof(f57,plain,(
% 0.16/0.47 inverse(sk_c1)=sk_c8|inverse(sk_c7)=sk_c6),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f17])).
% 0.16/0.47 fof(f58,plain,(
% 0.16/0.47 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f18])).
% 0.16/0.47 fof(f59,plain,(
% 0.16/0.47 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f19])).
% 0.16/0.47 fof(f60,plain,(
% 0.16/0.47 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f20])).
% 0.16/0.47 fof(f61,plain,(
% 0.16/0.47 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f21])).
% 0.16/0.47 fof(f62,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c7,sk_c6)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f22])).
% 0.16/0.47 fof(f63,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c7)=sk_c6),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f23])).
% 0.16/0.47 fof(f64,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f24])).
% 0.16/0.47 fof(f65,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f25])).
% 0.16/0.47 fof(f66,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f26])).
% 0.16/0.47 fof(f67,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f27])).
% 0.16/0.47 fof(f68,plain,(
% 0.16/0.47 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c7,sk_c6)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f28])).
% 0.16/0.47 fof(f69,plain,(
% 0.16/0.47 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c7)=sk_c6),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f29])).
% 0.16/0.47 fof(f70,plain,(
% 0.16/0.47 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c4,sk_c7)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f30])).
% 0.16/0.47 fof(f71,plain,(
% 0.16/0.47 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c4)=sk_c7),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f31])).
% 0.16/0.47 fof(f72,plain,(
% 0.16/0.47 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c5,sk_c8)=sk_c6),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f32])).
% 0.16/0.47 fof(f73,plain,(
% 0.16/0.47 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f33])).
% 0.16/0.47 fof(f74,plain,(
% 0.16/0.47 inverse(sk_c2)=sk_c8|multiply(sk_c7,sk_c6)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f34])).
% 0.16/0.47 fof(f75,plain,(
% 0.16/0.47 inverse(sk_c2)=sk_c8|inverse(sk_c7)=sk_c6),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f35])).
% 0.16/0.47 fof(f76,plain,(
% 0.16/0.47 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f36])).
% 0.16/0.47 fof(f77,plain,(
% 0.16/0.47 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f37])).
% 0.16/0.47 fof(f78,plain,(
% 0.16/0.47 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f38])).
% 0.16/0.47 fof(f79,plain,(
% 0.16/0.47 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f39])).
% 0.16/0.47 fof(f80,plain,(
% 0.16/0.47 ![X2]: (((![X1]: (((((![X5]: ((![X4]: (((![X3]: ((~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X3,sk_c8)=sk_c7)|~inverse(X3)=sk_c8))|~multiply(sk_c8,X4)=sk_c7)|~multiply(X5,sk_c8)=X4))|~inverse(X5)=sk_c8))|~multiply(sk_c7,sk_c6)=sk_c8)|~inverse(sk_c7)=sk_c6)|~multiply(X1,sk_c7)=sk_c8)|~inverse(X1)=sk_c7))|~multiply(X2,sk_c8)=sk_c6)|~inverse(X2)=sk_c8)),
% 0.16/0.47 inference(miniscoping,[status(esa)],[f40])).
% 0.16/0.47 fof(f81,plain,(
% 0.16/0.47 ![X0,X1,X2,X3,X4]: (~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8|~multiply(sk_c7,sk_c6)=sk_c8|~inverse(sk_c7)=sk_c6|~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7|~multiply(X4,sk_c8)=sk_c6|~inverse(X4)=sk_c8)),
% 0.16/0.47 inference(cnf_transformation,[status(esa)],[f80])).
% 0.16/0.47 fof(f82,plain,(
% 0.16/0.47 spl0_0 <=> multiply(sk_c8,sk_c7)=sk_c6),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f83,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c7)=sk_c6|~spl0_0),
% 0.16/0.47 inference(component_clause,[status(thm)],[f82])).
% 0.16/0.47 fof(f84,plain,(
% 0.16/0.47 ~multiply(sk_c8,sk_c7)=sk_c6|spl0_0),
% 0.16/0.47 inference(component_clause,[status(thm)],[f82])).
% 0.16/0.47 fof(f85,plain,(
% 0.16/0.47 spl0_1 <=> multiply(sk_c7,sk_c6)=sk_c8),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f86,plain,(
% 0.16/0.47 multiply(sk_c7,sk_c6)=sk_c8|~spl0_1),
% 0.16/0.47 inference(component_clause,[status(thm)],[f85])).
% 0.16/0.47 fof(f87,plain,(
% 0.16/0.47 ~multiply(sk_c7,sk_c6)=sk_c8|spl0_1),
% 0.16/0.47 inference(component_clause,[status(thm)],[f85])).
% 0.16/0.47 fof(f88,plain,(
% 0.16/0.47 spl0_0|spl0_1),
% 0.16/0.47 inference(split_clause,[status(thm)],[f44,f82,f85])).
% 0.16/0.47 fof(f89,plain,(
% 0.16/0.47 spl0_2 <=> inverse(sk_c7)=sk_c6),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f90,plain,(
% 0.16/0.47 inverse(sk_c7)=sk_c6|~spl0_2),
% 0.16/0.47 inference(component_clause,[status(thm)],[f89])).
% 0.16/0.47 fof(f91,plain,(
% 0.16/0.47 ~inverse(sk_c7)=sk_c6|spl0_2),
% 0.16/0.47 inference(component_clause,[status(thm)],[f89])).
% 0.16/0.47 fof(f92,plain,(
% 0.16/0.47 spl0_0|spl0_2),
% 0.16/0.47 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.16/0.47 fof(f93,plain,(
% 0.16/0.47 spl0_3 <=> multiply(sk_c4,sk_c7)=sk_c8),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f94,plain,(
% 0.16/0.47 multiply(sk_c4,sk_c7)=sk_c8|~spl0_3),
% 0.16/0.47 inference(component_clause,[status(thm)],[f93])).
% 0.16/0.47 fof(f96,plain,(
% 0.16/0.47 spl0_0|spl0_3),
% 0.16/0.47 inference(split_clause,[status(thm)],[f46,f82,f93])).
% 0.16/0.47 fof(f97,plain,(
% 0.16/0.47 spl0_4 <=> inverse(sk_c4)=sk_c7),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f98,plain,(
% 0.16/0.47 inverse(sk_c4)=sk_c7|~spl0_4),
% 0.16/0.47 inference(component_clause,[status(thm)],[f97])).
% 0.16/0.47 fof(f101,plain,(
% 0.16/0.47 spl0_5 <=> multiply(sk_c5,sk_c8)=sk_c6),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f102,plain,(
% 0.16/0.47 multiply(sk_c5,sk_c8)=sk_c6|~spl0_5),
% 0.16/0.47 inference(component_clause,[status(thm)],[f101])).
% 0.16/0.47 fof(f104,plain,(
% 0.16/0.47 spl0_0|spl0_5),
% 0.16/0.47 inference(split_clause,[status(thm)],[f48,f82,f101])).
% 0.16/0.47 fof(f105,plain,(
% 0.16/0.47 spl0_6 <=> inverse(sk_c5)=sk_c8),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f106,plain,(
% 0.16/0.47 inverse(sk_c5)=sk_c8|~spl0_6),
% 0.16/0.47 inference(component_clause,[status(thm)],[f105])).
% 0.16/0.47 fof(f108,plain,(
% 0.16/0.47 spl0_0|spl0_6),
% 0.16/0.47 inference(split_clause,[status(thm)],[f49,f82,f105])).
% 0.16/0.47 fof(f109,plain,(
% 0.16/0.47 spl0_7 <=> multiply(sk_c1,sk_c8)=sk_c7),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f110,plain,(
% 0.16/0.47 multiply(sk_c1,sk_c8)=sk_c7|~spl0_7),
% 0.16/0.47 inference(component_clause,[status(thm)],[f109])).
% 0.16/0.47 fof(f112,plain,(
% 0.16/0.47 spl0_7|spl0_1),
% 0.16/0.47 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.16/0.47 fof(f113,plain,(
% 0.16/0.47 spl0_7|spl0_2),
% 0.16/0.47 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.16/0.47 fof(f114,plain,(
% 0.16/0.47 spl0_7|spl0_3),
% 0.16/0.47 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.16/0.47 fof(f115,plain,(
% 0.16/0.47 spl0_7|spl0_4),
% 0.16/0.47 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.16/0.47 fof(f116,plain,(
% 0.16/0.47 spl0_7|spl0_5),
% 0.16/0.47 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.16/0.47 fof(f117,plain,(
% 0.16/0.47 spl0_7|spl0_6),
% 0.16/0.47 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.16/0.47 fof(f118,plain,(
% 0.16/0.47 spl0_8 <=> inverse(sk_c1)=sk_c8),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f119,plain,(
% 0.16/0.47 inverse(sk_c1)=sk_c8|~spl0_8),
% 0.16/0.47 inference(component_clause,[status(thm)],[f118])).
% 0.16/0.47 fof(f121,plain,(
% 0.16/0.47 spl0_8|spl0_1),
% 0.16/0.47 inference(split_clause,[status(thm)],[f56,f118,f85])).
% 0.16/0.47 fof(f122,plain,(
% 0.16/0.47 spl0_8|spl0_2),
% 0.16/0.47 inference(split_clause,[status(thm)],[f57,f118,f89])).
% 0.16/0.47 fof(f123,plain,(
% 0.16/0.47 spl0_8|spl0_3),
% 0.16/0.47 inference(split_clause,[status(thm)],[f58,f118,f93])).
% 0.16/0.47 fof(f124,plain,(
% 0.16/0.47 spl0_8|spl0_4),
% 0.16/0.47 inference(split_clause,[status(thm)],[f59,f118,f97])).
% 0.16/0.47 fof(f125,plain,(
% 0.16/0.47 spl0_8|spl0_5),
% 0.16/0.47 inference(split_clause,[status(thm)],[f60,f118,f101])).
% 0.16/0.47 fof(f126,plain,(
% 0.16/0.47 spl0_8|spl0_6),
% 0.16/0.47 inference(split_clause,[status(thm)],[f61,f118,f105])).
% 0.16/0.47 fof(f127,plain,(
% 0.16/0.47 spl0_9 <=> multiply(sk_c8,sk_c3)=sk_c7),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f128,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c3)=sk_c7|~spl0_9),
% 0.16/0.47 inference(component_clause,[status(thm)],[f127])).
% 0.16/0.47 fof(f130,plain,(
% 0.16/0.47 spl0_9|spl0_1),
% 0.16/0.47 inference(split_clause,[status(thm)],[f62,f127,f85])).
% 0.16/0.47 fof(f131,plain,(
% 0.16/0.47 spl0_9|spl0_2),
% 0.16/0.47 inference(split_clause,[status(thm)],[f63,f127,f89])).
% 0.16/0.47 fof(f132,plain,(
% 0.16/0.47 spl0_9|spl0_3),
% 0.16/0.47 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.16/0.47 fof(f133,plain,(
% 0.16/0.47 spl0_9|spl0_4),
% 0.16/0.47 inference(split_clause,[status(thm)],[f65,f127,f97])).
% 0.16/0.47 fof(f134,plain,(
% 0.16/0.47 spl0_9|spl0_5),
% 0.16/0.47 inference(split_clause,[status(thm)],[f66,f127,f101])).
% 0.16/0.47 fof(f135,plain,(
% 0.16/0.47 spl0_9|spl0_6),
% 0.16/0.47 inference(split_clause,[status(thm)],[f67,f127,f105])).
% 0.16/0.47 fof(f136,plain,(
% 0.16/0.47 spl0_10 <=> multiply(sk_c2,sk_c8)=sk_c3),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f137,plain,(
% 0.16/0.47 multiply(sk_c2,sk_c8)=sk_c3|~spl0_10),
% 0.16/0.47 inference(component_clause,[status(thm)],[f136])).
% 0.16/0.47 fof(f139,plain,(
% 0.16/0.47 spl0_10|spl0_1),
% 0.16/0.47 inference(split_clause,[status(thm)],[f68,f136,f85])).
% 0.16/0.47 fof(f140,plain,(
% 0.16/0.47 spl0_10|spl0_2),
% 0.16/0.47 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.16/0.47 fof(f141,plain,(
% 0.16/0.47 spl0_10|spl0_3),
% 0.16/0.47 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.16/0.47 fof(f142,plain,(
% 0.16/0.47 spl0_10|spl0_4),
% 0.16/0.47 inference(split_clause,[status(thm)],[f71,f136,f97])).
% 0.16/0.47 fof(f143,plain,(
% 0.16/0.47 spl0_10|spl0_5),
% 0.16/0.47 inference(split_clause,[status(thm)],[f72,f136,f101])).
% 0.16/0.47 fof(f144,plain,(
% 0.16/0.47 spl0_10|spl0_6),
% 0.16/0.47 inference(split_clause,[status(thm)],[f73,f136,f105])).
% 0.16/0.47 fof(f145,plain,(
% 0.16/0.47 spl0_11 <=> inverse(sk_c2)=sk_c8),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f146,plain,(
% 0.16/0.47 inverse(sk_c2)=sk_c8|~spl0_11),
% 0.16/0.47 inference(component_clause,[status(thm)],[f145])).
% 0.16/0.47 fof(f148,plain,(
% 0.16/0.47 spl0_11|spl0_1),
% 0.16/0.47 inference(split_clause,[status(thm)],[f74,f145,f85])).
% 0.16/0.47 fof(f149,plain,(
% 0.16/0.47 spl0_11|spl0_2),
% 0.16/0.47 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.16/0.47 fof(f150,plain,(
% 0.16/0.47 spl0_11|spl0_3),
% 0.16/0.47 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.16/0.47 fof(f151,plain,(
% 0.16/0.47 spl0_11|spl0_4),
% 0.16/0.47 inference(split_clause,[status(thm)],[f77,f145,f97])).
% 0.16/0.47 fof(f152,plain,(
% 0.16/0.47 spl0_11|spl0_5),
% 0.16/0.47 inference(split_clause,[status(thm)],[f78,f145,f101])).
% 0.16/0.47 fof(f153,plain,(
% 0.16/0.47 spl0_11|spl0_6),
% 0.16/0.47 inference(split_clause,[status(thm)],[f79,f145,f105])).
% 0.16/0.47 fof(f154,plain,(
% 0.16/0.47 spl0_12 <=> ~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f155,plain,(
% 0.16/0.47 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_12)),
% 0.16/0.47 inference(component_clause,[status(thm)],[f154])).
% 0.16/0.47 fof(f157,plain,(
% 0.16/0.47 spl0_13 <=> ~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f158,plain,(
% 0.16/0.47 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_13)),
% 0.16/0.47 inference(component_clause,[status(thm)],[f157])).
% 0.16/0.47 fof(f160,plain,(
% 0.16/0.47 spl0_14 <=> ~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f161,plain,(
% 0.16/0.47 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~spl0_14)),
% 0.16/0.47 inference(component_clause,[status(thm)],[f160])).
% 0.16/0.47 fof(f163,plain,(
% 0.16/0.47 spl0_15 <=> ~multiply(X4,sk_c8)=sk_c6|~inverse(X4)=sk_c8),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f164,plain,(
% 0.16/0.47 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~spl0_15)),
% 0.16/0.47 inference(component_clause,[status(thm)],[f163])).
% 0.16/0.47 fof(f166,plain,(
% 0.16/0.47 ~spl0_0|spl0_12|spl0_13|~spl0_1|~spl0_2|spl0_14|spl0_15),
% 0.16/0.47 inference(split_clause,[status(thm)],[f81,f82,f154,f157,f85,f89,f160,f163])).
% 0.16/0.47 fof(f167,plain,(
% 0.16/0.47 ~inverse(sk_c5)=sk_c8|~spl0_15|~spl0_5),
% 0.16/0.47 inference(resolution,[status(thm)],[f164,f102])).
% 0.16/0.47 fof(f168,plain,(
% 0.16/0.47 ~sk_c8=sk_c8|~spl0_6|~spl0_15|~spl0_5),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f106,f167])).
% 0.16/0.47 fof(f169,plain,(
% 0.16/0.47 $false|~spl0_6|~spl0_15|~spl0_5),
% 0.16/0.47 inference(trivial_equality_resolution,[status(esa)],[f168])).
% 0.16/0.47 fof(f170,plain,(
% 0.16/0.47 ~spl0_6|~spl0_15|~spl0_5),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f169])).
% 0.16/0.47 fof(f171,plain,(
% 0.16/0.47 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_13)),
% 0.16/0.47 inference(destructive_equality_resolution,[status(esa)],[f158])).
% 0.16/0.47 fof(f172,plain,(
% 0.16/0.47 ~multiply(sk_c4,sk_c7)=sk_c8|~spl0_14|~spl0_4),
% 0.16/0.47 inference(resolution,[status(thm)],[f161,f98])).
% 0.16/0.47 fof(f173,plain,(
% 0.16/0.47 ~sk_c8=sk_c8|~spl0_3|~spl0_14|~spl0_4),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f94,f172])).
% 0.16/0.47 fof(f174,plain,(
% 0.16/0.47 $false|~spl0_3|~spl0_14|~spl0_4),
% 0.16/0.47 inference(trivial_equality_resolution,[status(esa)],[f173])).
% 0.16/0.47 fof(f175,plain,(
% 0.16/0.47 ~spl0_3|~spl0_14|~spl0_4),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f174])).
% 0.16/0.47 fof(f176,plain,(
% 0.16/0.47 ~inverse(sk_c1)=sk_c8|~spl0_12|~spl0_7),
% 0.16/0.47 inference(resolution,[status(thm)],[f155,f110])).
% 0.16/0.47 fof(f177,plain,(
% 0.16/0.47 ~sk_c8=sk_c8|~spl0_8|~spl0_12|~spl0_7),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f119,f176])).
% 0.16/0.47 fof(f178,plain,(
% 0.16/0.47 $false|~spl0_8|~spl0_12|~spl0_7),
% 0.16/0.47 inference(trivial_equality_resolution,[status(esa)],[f177])).
% 0.16/0.47 fof(f179,plain,(
% 0.16/0.47 ~spl0_8|~spl0_12|~spl0_7),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f178])).
% 0.16/0.47 fof(f185,plain,(
% 0.16/0.47 ~multiply(sk_c8,sk_c3)=sk_c7|~inverse(sk_c2)=sk_c8|~spl0_13|~spl0_10),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f137,f171])).
% 0.16/0.47 fof(f186,plain,(
% 0.16/0.47 ~spl0_9|~spl0_11|~spl0_13|~spl0_10),
% 0.16/0.47 inference(split_clause,[status(thm)],[f185,f127,f145,f157,f136])).
% 0.16/0.47 fof(f190,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c4,multiply(sk_c7,X0))|~spl0_3)),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f94,f43])).
% 0.16/0.47 fof(f191,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c7,multiply(sk_c6,X0))|~spl0_1)),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f86,f43])).
% 0.16/0.47 fof(f192,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c5,multiply(sk_c8,X0))|~spl0_5)),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f102,f43])).
% 0.16/0.47 fof(f193,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,multiply(sk_c3,X0))|~spl0_9)),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f128,f43])).
% 0.16/0.47 fof(f194,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c3,X0)=multiply(sk_c2,multiply(sk_c8,X0))|~spl0_10)),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f137,f43])).
% 0.16/0.47 fof(f195,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c6)=multiply(sk_c4,sk_c8)|~spl0_3|~spl0_1),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f86,f190])).
% 0.16/0.47 fof(f199,plain,(
% 0.16/0.47 ![X0]: (multiply(multiply(sk_c8,sk_c6),X0)=multiply(sk_c4,multiply(sk_c8,X0))|~spl0_3|~spl0_1)),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f195,f43])).
% 0.16/0.47 fof(f200,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c8,multiply(sk_c6,X0))=multiply(sk_c4,multiply(sk_c8,X0))|~spl0_3|~spl0_1)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f43,f199])).
% 0.16/0.47 fof(f216,plain,(
% 0.16/0.47 multiply(sk_c3,sk_c3)=multiply(sk_c2,sk_c7)|~spl0_10|~spl0_9),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f128,f194])).
% 0.16/0.47 fof(f349,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c5)=identity|~spl0_6),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f106,f42])).
% 0.16/0.47 fof(f350,plain,(
% 0.16/0.47 multiply(sk_c6,sk_c7)=identity|~spl0_2),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f90,f42])).
% 0.16/0.47 fof(f351,plain,(
% 0.16/0.47 multiply(sk_c7,sk_c4)=identity|~spl0_4),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f98,f42])).
% 0.16/0.47 fof(f352,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c1)=identity|~spl0_8),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f119,f42])).
% 0.16/0.47 fof(f353,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c2)=identity|~spl0_11),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f146,f42])).
% 0.16/0.47 fof(f354,plain,(
% 0.16/0.47 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.16/0.47 fof(f355,plain,(
% 0.16/0.47 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f41,f354])).
% 0.16/0.47 fof(f356,plain,(
% 0.16/0.47 multiply(sk_c8,multiply(sk_c6,sk_c5))=multiply(sk_c4,identity)|~spl0_3|~spl0_1|~spl0_6),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f349,f200])).
% 0.16/0.47 fof(f359,plain,(
% 0.16/0.47 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c5,X0))|~spl0_6)),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f349,f43])).
% 0.16/0.47 fof(f360,plain,(
% 0.16/0.47 ![X0]: (X0=multiply(sk_c8,multiply(sk_c5,X0))|~spl0_6)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f41,f359])).
% 0.16/0.47 fof(f365,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c7)=multiply(sk_c7,identity)|~spl0_1|~spl0_2),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f350,f191])).
% 0.16/0.47 fof(f379,plain,(
% 0.16/0.47 multiply(sk_c3,sk_c1)=multiply(sk_c2,identity)|~spl0_10|~spl0_8),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f352,f194])).
% 0.16/0.47 fof(f388,plain,(
% 0.16/0.47 multiply(sk_c3,sk_c2)=multiply(sk_c2,identity)|~spl0_10|~spl0_11),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f353,f194])).
% 0.16/0.47 fof(f418,plain,(
% 0.16/0.47 sk_c8=multiply(sk_c8,sk_c6)|~spl0_6|~spl0_5),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f102,f360])).
% 0.16/0.47 fof(f565,plain,(
% 0.16/0.47 sk_c6=multiply(sk_c7,identity)|~spl0_0|~spl0_1|~spl0_2),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f83,f365])).
% 0.16/0.47 fof(f567,plain,(
% 0.16/0.47 multiply(sk_c3,sk_c1)=multiply(sk_c3,sk_c2)|~spl0_11|~spl0_10|~spl0_8),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f388,f379])).
% 0.16/0.47 fof(f577,plain,(
% 0.16/0.47 spl0_18 <=> multiply(sk_c1,sk_c7)=sk_c8),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f580,plain,(
% 0.16/0.47 spl0_19 <=> sk_c8=sk_c7),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f581,plain,(
% 0.16/0.47 sk_c8=sk_c7|~spl0_19),
% 0.16/0.47 inference(component_clause,[status(thm)],[f580])).
% 0.16/0.47 fof(f582,plain,(
% 0.16/0.47 ~sk_c8=sk_c7|spl0_19),
% 0.16/0.47 inference(component_clause,[status(thm)],[f580])).
% 0.16/0.47 fof(f583,plain,(
% 0.16/0.47 ~multiply(sk_c1,sk_c7)=sk_c8|~sk_c8=sk_c7|~spl0_14|~spl0_8),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f119,f161])).
% 0.16/0.47 fof(f584,plain,(
% 0.16/0.47 ~spl0_18|~spl0_19|~spl0_14|~spl0_8),
% 0.16/0.47 inference(split_clause,[status(thm)],[f583,f577,f580,f160,f118])).
% 0.16/0.47 fof(f585,plain,(
% 0.16/0.47 spl0_20 <=> multiply(sk_c2,sk_c7)=sk_c8),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f587,plain,(
% 0.16/0.47 ~multiply(sk_c2,sk_c7)=sk_c8|spl0_20),
% 0.16/0.47 inference(component_clause,[status(thm)],[f585])).
% 0.16/0.47 fof(f588,plain,(
% 0.16/0.47 ~multiply(sk_c2,sk_c7)=sk_c8|~sk_c8=sk_c7|~spl0_14|~spl0_11),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f146,f161])).
% 0.16/0.47 fof(f589,plain,(
% 0.16/0.47 ~spl0_20|~spl0_19|~spl0_14|~spl0_11),
% 0.16/0.47 inference(split_clause,[status(thm)],[f588,f585,f580,f160,f145])).
% 0.16/0.47 fof(f594,plain,(
% 0.16/0.47 ~multiply(sk_c3,sk_c3)=sk_c8|~spl0_10|~spl0_9|spl0_20),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f216,f587])).
% 0.16/0.47 fof(f596,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c8,multiply(sk_c7,X0))|~spl0_0)),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f83,f43])).
% 0.16/0.47 fof(f637,plain,(
% 0.16/0.47 multiply(sk_c7,sk_c2)=multiply(sk_c8,multiply(sk_c3,sk_c1))|~spl0_9|~spl0_11|~spl0_10|~spl0_8),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f567,f193])).
% 0.16/0.47 fof(f638,plain,(
% 0.16/0.47 multiply(sk_c7,sk_c2)=multiply(sk_c7,sk_c1)|~spl0_9|~spl0_11|~spl0_10|~spl0_8),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f193,f637])).
% 0.16/0.47 fof(f704,plain,(
% 0.16/0.47 multiply(sk_c6,sk_c2)=multiply(sk_c8,multiply(sk_c7,sk_c1))|~spl0_0|~spl0_9|~spl0_11|~spl0_10|~spl0_8),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f638,f596])).
% 0.16/0.47 fof(f730,plain,(
% 0.16/0.47 sk_c2=multiply(inverse(sk_c3),multiply(sk_c3,sk_c1))|~spl0_11|~spl0_10|~spl0_8),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f567,f355])).
% 0.16/0.47 fof(f731,plain,(
% 0.16/0.47 sk_c2=sk_c1|~spl0_11|~spl0_10|~spl0_8),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f355,f730])).
% 0.16/0.47 fof(f750,plain,(
% 0.16/0.47 sk_c7=multiply(inverse(sk_c4),sk_c8)|~spl0_3),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f94,f355])).
% 0.16/0.47 fof(f758,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c8,X0)=multiply(inverse(sk_c2),multiply(sk_c3,X0))|~spl0_10)),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f194,f355])).
% 0.16/0.47 fof(f759,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c8,multiply(sk_c3,X0))|~spl0_11|~spl0_10)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f146,f758])).
% 0.16/0.47 fof(f760,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c7,X0)|~spl0_9|~spl0_11|~spl0_10)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f193,f759])).
% 0.16/0.47 fof(f765,plain,(
% 0.16/0.47 sk_c8=multiply(inverse(sk_c2),sk_c3)|~spl0_10),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f137,f355])).
% 0.16/0.47 fof(f766,plain,(
% 0.16/0.47 sk_c8=multiply(sk_c8,sk_c3)|~spl0_11|~spl0_10),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f146,f765])).
% 0.16/0.47 fof(f767,plain,(
% 0.16/0.47 sk_c8=sk_c7|~spl0_9|~spl0_11|~spl0_10),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f128,f766])).
% 0.16/0.47 fof(f768,plain,(
% 0.16/0.47 $false|spl0_19|~spl0_9|~spl0_11|~spl0_10),
% 0.16/0.47 inference(forward_subsumption_resolution,[status(thm)],[f767,f582])).
% 0.16/0.47 fof(f769,plain,(
% 0.16/0.47 spl0_19|~spl0_9|~spl0_11|~spl0_10),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f768])).
% 0.16/0.47 fof(f775,plain,(
% 0.16/0.47 sk_c4=multiply(inverse(sk_c7),identity)|~spl0_4),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f351,f355])).
% 0.16/0.47 fof(f776,plain,(
% 0.16/0.47 sk_c6=multiply(inverse(sk_c7),sk_c8)|~spl0_1),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f86,f355])).
% 0.16/0.47 fof(f777,plain,(
% 0.16/0.47 sk_c8=multiply(inverse(sk_c1),sk_c7)|~spl0_7),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f110,f355])).
% 0.16/0.47 fof(f778,plain,(
% 0.16/0.47 sk_c8=multiply(sk_c8,sk_c7)|~spl0_8|~spl0_7),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f119,f777])).
% 0.16/0.47 fof(f779,plain,(
% 0.16/0.47 sk_c8=sk_c6|~spl0_0|~spl0_8|~spl0_7),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f83,f778])).
% 0.16/0.47 fof(f780,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c7,X0)=multiply(inverse(sk_c8),multiply(sk_c6,X0))|~spl0_0)),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f596,f355])).
% 0.16/0.47 fof(f781,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c8,X0)=multiply(inverse(sk_c8),multiply(sk_c6,X0))|~spl0_9|~spl0_11|~spl0_10|~spl0_0)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f760,f780])).
% 0.16/0.47 fof(f782,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c8,X0)=multiply(inverse(sk_c8),multiply(sk_c8,X0))|~spl0_8|~spl0_7|~spl0_9|~spl0_11|~spl0_10|~spl0_0)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f779,f781])).
% 0.16/0.47 fof(f783,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c8,X0)=X0|~spl0_8|~spl0_7|~spl0_9|~spl0_11|~spl0_10|~spl0_0)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f355,f782])).
% 0.16/0.47 fof(f792,plain,(
% 0.16/0.47 sk_c3=multiply(inverse(sk_c8),sk_c7)|~spl0_9),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f128,f355])).
% 0.16/0.47 fof(f793,plain,(
% 0.16/0.47 sk_c7=multiply(inverse(sk_c8),sk_c6)|~spl0_0),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f83,f355])).
% 0.16/0.47 fof(f794,plain,(
% 0.16/0.47 sk_c7=multiply(inverse(sk_c8),sk_c8)|~spl0_8|~spl0_7|~spl0_0),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f779,f793])).
% 0.16/0.47 fof(f795,plain,(
% 0.16/0.47 sk_c7=identity|~spl0_8|~spl0_7|~spl0_0),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f42,f794])).
% 0.16/0.47 fof(f796,plain,(
% 0.16/0.47 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f355,f355])).
% 0.16/0.47 fof(f797,plain,(
% 0.16/0.47 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f42,f355])).
% 0.16/0.47 fof(f798,plain,(
% 0.16/0.47 ![X0]: (X0=multiply(X0,identity))),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f796,f797])).
% 0.16/0.47 fof(f799,plain,(
% 0.16/0.47 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f41,f355])).
% 0.16/0.47 fof(f927,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c2)=multiply(sk_c8,multiply(sk_c7,sk_c1))|~spl0_7|~spl0_0|~spl0_9|~spl0_11|~spl0_10|~spl0_8),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f779,f704])).
% 0.16/0.47 fof(f928,plain,(
% 0.16/0.47 sk_c2=multiply(sk_c8,multiply(sk_c7,sk_c1))|~spl0_7|~spl0_0|~spl0_9|~spl0_11|~spl0_10|~spl0_8),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f783,f927])).
% 0.16/0.47 fof(f929,plain,(
% 0.16/0.47 sk_c1=multiply(sk_c8,multiply(sk_c7,sk_c1))|~spl0_7|~spl0_0|~spl0_9|~spl0_11|~spl0_10|~spl0_8),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f731,f928])).
% 0.16/0.47 fof(f930,plain,(
% 0.16/0.47 sk_c1=multiply(sk_c7,sk_c1)|~spl0_7|~spl0_0|~spl0_9|~spl0_11|~spl0_10|~spl0_8),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f783,f929])).
% 0.16/0.47 fof(f931,plain,(
% 0.16/0.47 sk_c1=multiply(sk_c8,sk_c1)|~spl0_7|~spl0_0|~spl0_9|~spl0_11|~spl0_10|~spl0_8),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f760,f930])).
% 0.16/0.47 fof(f932,plain,(
% 0.16/0.47 sk_c1=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_11|~spl0_10|~spl0_8),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f352,f931])).
% 0.16/0.47 fof(f969,plain,(
% 0.16/0.47 sk_c4=inverse(sk_c7)|~spl0_4),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f798,f775])).
% 0.16/0.47 fof(f971,plain,(
% 0.16/0.47 sk_c4=sk_c6|~spl0_4|~spl0_2),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f969,f90])).
% 0.16/0.47 fof(f972,plain,(
% 0.16/0.47 sk_c6=sk_c7|~spl0_0|~spl0_1|~spl0_2),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f798,f565])).
% 0.16/0.47 fof(f998,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c8,X0)=multiply(inverse(sk_c5),multiply(sk_c6,X0))|~spl0_5)),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f192,f355])).
% 0.16/0.47 fof(f1004,plain,(
% 0.16/0.47 sk_c8=multiply(sk_c8,sk_c7)|~spl0_0|~spl0_1|~spl0_2|~spl0_6|~spl0_5),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f972,f418])).
% 0.16/0.47 fof(f1005,plain,(
% 0.16/0.47 sk_c8=sk_c6|~spl0_0|~spl0_1|~spl0_2|~spl0_6|~spl0_5),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f83,f1004])).
% 0.16/0.47 fof(f1006,plain,(
% 0.16/0.47 sk_c8=sk_c7|~spl0_0|~spl0_1|~spl0_2|~spl0_6|~spl0_5),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f972,f1005])).
% 0.16/0.47 fof(f1127,plain,(
% 0.16/0.47 inverse(sk_c6)=sk_c7|~spl0_2|~spl0_4),
% 0.16/0.47 inference(backward_demodulation,[status(thm)],[f971,f98])).
% 0.16/0.47 fof(f1258,plain,(
% 0.16/0.47 sk_c1=identity|~spl0_7|~spl0_9|~spl0_11|~spl0_10|~spl0_0|~spl0_8),
% 0.16/0.47 inference(backward_demodulation,[status(thm)],[f783,f352])).
% 0.16/0.47 fof(f1259,plain,(
% 0.16/0.47 sk_c3=sk_c7|~spl0_8|~spl0_7|~spl0_11|~spl0_10|~spl0_0|~spl0_9),
% 0.16/0.47 inference(backward_demodulation,[status(thm)],[f783,f128])).
% 0.16/0.47 fof(f1260,plain,(
% 0.16/0.47 sk_c3=sk_c8|~spl0_19|~spl0_8|~spl0_7|~spl0_11|~spl0_10|~spl0_0|~spl0_9),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f581,f1259])).
% 0.16/0.47 fof(f1263,plain,(
% 0.16/0.47 ![X0]: (X0=multiply(sk_c7,X0)|~spl0_8|~spl0_7|~spl0_0|~spl0_9|~spl0_11|~spl0_10)),
% 0.16/0.47 inference(backward_demodulation,[status(thm)],[f783,f760])).
% 0.16/0.47 fof(f1264,plain,(
% 0.16/0.47 ![X0]: (X0=multiply(sk_c8,X0)|~spl0_19|~spl0_8|~spl0_7|~spl0_0|~spl0_9|~spl0_11|~spl0_10)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f581,f1263])).
% 0.16/0.47 fof(f1265,plain,(
% 0.16/0.47 multiply(sk_c1,sk_c8)=identity|~spl0_8|~spl0_0|~spl0_7),
% 0.16/0.47 inference(backward_demodulation,[status(thm)],[f795,f110])).
% 0.16/0.47 fof(f1266,plain,(
% 0.16/0.47 multiply(identity,sk_c8)=identity|~spl0_9|~spl0_11|~spl0_10|~spl0_8|~spl0_0|~spl0_7),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1258,f1265])).
% 0.16/0.47 fof(f1267,plain,(
% 0.16/0.47 sk_c8=identity|~spl0_9|~spl0_11|~spl0_10|~spl0_8|~spl0_0|~spl0_7),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f41,f1266])).
% 0.16/0.47 fof(f1268,plain,(
% 0.16/0.47 sk_c3=multiply(inverse(sk_c8),identity)|~spl0_8|~spl0_7|~spl0_0|~spl0_9),
% 0.16/0.47 inference(backward_demodulation,[status(thm)],[f795,f792])).
% 0.16/0.47 fof(f1269,plain,(
% 0.16/0.47 sk_c8=multiply(inverse(sk_c8),identity)|~spl0_19|~spl0_11|~spl0_10|~spl0_8|~spl0_7|~spl0_0|~spl0_9),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1260,f1268])).
% 0.16/0.47 fof(f1270,plain,(
% 0.16/0.47 identity=multiply(inverse(sk_c8),identity)|~spl0_19|~spl0_11|~spl0_10|~spl0_8|~spl0_7|~spl0_0|~spl0_9),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1267,f1269])).
% 0.16/0.47 fof(f1271,plain,(
% 0.16/0.47 identity=inverse(sk_c8)|~spl0_19|~spl0_11|~spl0_10|~spl0_8|~spl0_7|~spl0_0|~spl0_9),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f798,f1270])).
% 0.16/0.47 fof(f1272,plain,(
% 0.16/0.47 identity=inverse(identity)|~spl0_19|~spl0_11|~spl0_10|~spl0_8|~spl0_7|~spl0_0|~spl0_9),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1267,f1271])).
% 0.16/0.47 fof(f1280,plain,(
% 0.16/0.47 sk_c2=identity|~spl0_7|~spl0_0|~spl0_9|~spl0_11|~spl0_10|~spl0_8),
% 0.16/0.47 inference(backward_demodulation,[status(thm)],[f932,f731])).
% 0.16/0.47 fof(f1286,plain,(
% 0.16/0.47 identity=sk_c6|~spl0_9|~spl0_11|~spl0_10|~spl0_0|~spl0_8|~spl0_7),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1267,f779])).
% 0.16/0.47 fof(f1349,plain,(
% 0.16/0.47 ~multiply(sk_c8,sk_c3)=sk_c8|~spl0_19|~spl0_8|~spl0_7|~spl0_11|~spl0_0|~spl0_10|~spl0_9|spl0_20),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1260,f594])).
% 0.16/0.47 fof(f1350,plain,(
% 0.16/0.47 ~sk_c3=sk_c8|~spl0_19|~spl0_8|~spl0_7|~spl0_11|~spl0_0|~spl0_10|~spl0_9|spl0_20),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1264,f1349])).
% 0.16/0.47 fof(f1351,plain,(
% 0.16/0.47 ~sk_c8=sk_c8|~spl0_19|~spl0_8|~spl0_7|~spl0_11|~spl0_0|~spl0_10|~spl0_9|spl0_20),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1260,f1350])).
% 0.16/0.47 fof(f1352,plain,(
% 0.16/0.47 ~identity=sk_c8|~spl0_19|~spl0_8|~spl0_7|~spl0_11|~spl0_0|~spl0_10|~spl0_9|spl0_20),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1267,f1351])).
% 0.16/0.47 fof(f1353,plain,(
% 0.16/0.47 ~identity=identity|~spl0_19|~spl0_8|~spl0_7|~spl0_11|~spl0_0|~spl0_10|~spl0_9|spl0_20),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1267,f1352])).
% 0.16/0.47 fof(f1354,plain,(
% 0.16/0.47 $false|~spl0_19|~spl0_8|~spl0_7|~spl0_11|~spl0_0|~spl0_10|~spl0_9|spl0_20),
% 0.16/0.47 inference(trivial_equality_resolution,[status(esa)],[f1353])).
% 0.16/0.47 fof(f1355,plain,(
% 0.16/0.47 ~spl0_19|~spl0_8|~spl0_7|~spl0_11|~spl0_0|~spl0_10|~spl0_9|spl0_20),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f1354])).
% 0.16/0.47 fof(f1360,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c7,X0)=multiply(identity,multiply(sk_c3,X0))|~spl0_11|~spl0_10|~spl0_8|~spl0_0|~spl0_7|~spl0_9)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1267,f193])).
% 0.16/0.47 fof(f1361,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,X0)|~spl0_11|~spl0_10|~spl0_8|~spl0_0|~spl0_7|~spl0_9)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f41,f1360])).
% 0.16/0.47 fof(f1366,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c8,X0))|~spl0_11|~spl0_8|~spl0_0|~spl0_7|~spl0_9|~spl0_10)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1361,f194])).
% 0.16/0.47 fof(f1367,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c7,X0)=multiply(identity,multiply(sk_c8,X0))|~spl0_11|~spl0_8|~spl0_0|~spl0_7|~spl0_9|~spl0_10)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1280,f1366])).
% 0.16/0.47 fof(f1368,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,X0)|~spl0_11|~spl0_8|~spl0_0|~spl0_7|~spl0_9|~spl0_10)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f41,f1367])).
% 0.16/0.47 fof(f1369,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c7,X0)=multiply(identity,X0)|~spl0_11|~spl0_8|~spl0_0|~spl0_7|~spl0_9|~spl0_10)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1267,f1368])).
% 0.16/0.47 fof(f1370,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c7,X0)=X0|~spl0_11|~spl0_8|~spl0_0|~spl0_7|~spl0_9|~spl0_10)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f41,f1369])).
% 0.16/0.47 fof(f1409,plain,(
% 0.16/0.47 multiply(identity,sk_c7)=sk_c6|~spl0_9|~spl0_11|~spl0_10|~spl0_8|~spl0_7|~spl0_0),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1267,f83])).
% 0.16/0.47 fof(f1410,plain,(
% 0.16/0.47 sk_c7=sk_c6|~spl0_9|~spl0_11|~spl0_10|~spl0_8|~spl0_7|~spl0_0),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f41,f1409])).
% 0.16/0.47 fof(f1411,plain,(
% 0.16/0.47 sk_c7=identity|~spl0_9|~spl0_11|~spl0_10|~spl0_8|~spl0_7|~spl0_0),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1286,f1410])).
% 0.16/0.47 fof(f1440,plain,(
% 0.16/0.47 ~sk_c6=sk_c8|~spl0_11|~spl0_8|~spl0_0|~spl0_7|~spl0_9|~spl0_10|spl0_1),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1370,f87])).
% 0.16/0.47 fof(f1441,plain,(
% 0.16/0.47 ~identity=sk_c8|~spl0_11|~spl0_8|~spl0_0|~spl0_7|~spl0_9|~spl0_10|spl0_1),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1286,f1440])).
% 0.16/0.47 fof(f1442,plain,(
% 0.16/0.47 ~identity=identity|~spl0_11|~spl0_8|~spl0_0|~spl0_7|~spl0_9|~spl0_10|spl0_1),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1267,f1441])).
% 0.16/0.47 fof(f1443,plain,(
% 0.16/0.47 $false|~spl0_11|~spl0_8|~spl0_0|~spl0_7|~spl0_9|~spl0_10|spl0_1),
% 0.16/0.47 inference(trivial_equality_resolution,[status(esa)],[f1442])).
% 0.16/0.47 fof(f1444,plain,(
% 0.16/0.47 ~spl0_11|~spl0_8|~spl0_0|~spl0_7|~spl0_9|~spl0_10|spl0_1),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f1443])).
% 0.16/0.47 fof(f1466,plain,(
% 0.16/0.47 spl0_21 <=> sk_c7=sk_c6),
% 0.16/0.47 introduced(split_symbol_definition)).
% 0.16/0.47 fof(f1468,plain,(
% 0.16/0.47 ~sk_c7=sk_c6|spl0_21),
% 0.16/0.47 inference(component_clause,[status(thm)],[f1466])).
% 0.16/0.47 fof(f1469,plain,(
% 0.16/0.47 ~sk_c7=sk_c6|~inverse(sk_c1)=sk_c8|~spl0_15|~spl0_7),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f110,f164])).
% 0.16/0.47 fof(f1470,plain,(
% 0.16/0.47 ~spl0_21|~spl0_8|~spl0_15|~spl0_7),
% 0.16/0.47 inference(split_clause,[status(thm)],[f1469,f1466,f118,f163,f109])).
% 0.16/0.47 fof(f1476,plain,(
% 0.16/0.47 ![X0]: (~multiply(X0,identity)=sk_c6|~inverse(X0)=sk_c8|~spl0_9|~spl0_11|~spl0_10|~spl0_8|~spl0_0|~spl0_7|~spl0_15)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1267,f164])).
% 0.16/0.47 fof(f1477,plain,(
% 0.16/0.47 ![X0]: (~X0=sk_c6|~inverse(X0)=sk_c8|~spl0_9|~spl0_11|~spl0_10|~spl0_8|~spl0_0|~spl0_7|~spl0_15)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f798,f1476])).
% 0.16/0.47 fof(f1478,plain,(
% 0.16/0.47 ![X0]: (~X0=identity|~inverse(X0)=sk_c8|~spl0_9|~spl0_11|~spl0_10|~spl0_8|~spl0_0|~spl0_7|~spl0_15)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1286,f1477])).
% 0.16/0.47 fof(f1479,plain,(
% 0.16/0.47 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_9|~spl0_11|~spl0_10|~spl0_8|~spl0_0|~spl0_7|~spl0_15)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1267,f1478])).
% 0.16/0.47 fof(f1480,plain,(
% 0.16/0.47 ~inverse(identity)=identity|~spl0_9|~spl0_11|~spl0_10|~spl0_8|~spl0_0|~spl0_7|~spl0_15),
% 0.16/0.47 inference(destructive_equality_resolution,[status(esa)],[f1479])).
% 0.16/0.47 fof(f1481,plain,(
% 0.16/0.47 $false|~spl0_19|~spl0_9|~spl0_11|~spl0_10|~spl0_8|~spl0_0|~spl0_7|~spl0_15),
% 0.16/0.47 inference(forward_subsumption_resolution,[status(thm)],[f1480,f1272])).
% 0.16/0.47 fof(f1482,plain,(
% 0.16/0.47 ~spl0_19|~spl0_9|~spl0_11|~spl0_10|~spl0_8|~spl0_0|~spl0_7|~spl0_15),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f1481])).
% 0.16/0.47 fof(f1599,plain,(
% 0.16/0.47 ~inverse(identity)=sk_c6|~spl0_9|~spl0_11|~spl0_10|~spl0_8|~spl0_7|~spl0_0|spl0_2),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1411,f91])).
% 0.16/0.47 fof(f1600,plain,(
% 0.16/0.47 ~identity=sk_c6|~spl0_19|~spl0_9|~spl0_11|~spl0_10|~spl0_8|~spl0_7|~spl0_0|spl0_2),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1272,f1599])).
% 0.16/0.47 fof(f1601,plain,(
% 0.16/0.47 ~identity=identity|~spl0_19|~spl0_9|~spl0_11|~spl0_10|~spl0_8|~spl0_7|~spl0_0|spl0_2),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f1286,f1600])).
% 0.16/0.47 fof(f1602,plain,(
% 0.16/0.47 $false|~spl0_19|~spl0_9|~spl0_11|~spl0_10|~spl0_8|~spl0_7|~spl0_0|spl0_2),
% 0.16/0.47 inference(trivial_equality_resolution,[status(esa)],[f1601])).
% 0.16/0.47 fof(f1603,plain,(
% 0.16/0.47 ~spl0_19|~spl0_9|~spl0_11|~spl0_10|~spl0_8|~spl0_7|~spl0_0|spl0_2),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f1602])).
% 0.16/0.47 fof(f1916,plain,(
% 0.16/0.47 ~sk_c6=sk_c7|~inverse(sk_c5)=sk_c8|~spl0_12|~spl0_5),
% 0.16/0.47 inference(paramodulation,[status(thm)],[f102,f155])).
% 0.16/0.47 fof(f1917,plain,(
% 0.16/0.47 ~spl0_21|~spl0_6|~spl0_12|~spl0_5),
% 0.16/0.47 inference(split_clause,[status(thm)],[f1916,f1466,f105,f154,f101])).
% 0.16/0.47 fof(f2083,plain,(
% 0.16/0.47 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c8,multiply(sk_c6,X0))|~spl0_6|~spl0_5)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f106,f998])).
% 0.16/0.47 fof(f2088,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c5)=multiply(sk_c4,identity)|~spl0_5|~spl0_3|~spl0_1|~spl0_6),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f2083,f356])).
% 0.16/0.47 fof(f2089,plain,(
% 0.16/0.47 identity=multiply(sk_c4,identity)|~spl0_5|~spl0_3|~spl0_1|~spl0_6),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f349,f2088])).
% 0.16/0.47 fof(f2090,plain,(
% 0.16/0.47 identity=sk_c4|~spl0_5|~spl0_3|~spl0_1|~spl0_6),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f798,f2089])).
% 0.16/0.47 fof(f2098,plain,(
% 0.16/0.47 sk_c7=multiply(inverse(identity),sk_c8)|~spl0_5|~spl0_1|~spl0_6|~spl0_3),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f2090,f750])).
% 0.16/0.47 fof(f2099,plain,(
% 0.16/0.47 sk_c7=sk_c8|~spl0_5|~spl0_1|~spl0_6|~spl0_3),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f799,f2098])).
% 0.16/0.47 fof(f2192,plain,(
% 0.16/0.47 ~sk_c8=sk_c6|~spl0_5|~spl0_1|~spl0_6|~spl0_3|spl0_21),
% 0.16/0.47 inference(backward_demodulation,[status(thm)],[f2099,f1468])).
% 0.16/0.47 fof(f2193,plain,(
% 0.16/0.47 sk_c6=multiply(inverse(sk_c8),sk_c8)|~spl0_5|~spl0_6|~spl0_3|~spl0_1),
% 0.16/0.47 inference(backward_demodulation,[status(thm)],[f2099,f776])).
% 0.16/0.47 fof(f2194,plain,(
% 0.16/0.47 sk_c6=identity|~spl0_5|~spl0_6|~spl0_3|~spl0_1),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f42,f2193])).
% 0.16/0.47 fof(f2206,plain,(
% 0.16/0.47 ~multiply(sk_c8,sk_c8)=sk_c6|~spl0_5|~spl0_1|~spl0_6|~spl0_3|spl0_0),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f2099,f84])).
% 0.16/0.47 fof(f2207,plain,(
% 0.16/0.47 ~multiply(sk_c8,sk_c8)=identity|~spl0_5|~spl0_1|~spl0_6|~spl0_3|spl0_0),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f2194,f2206])).
% 0.16/0.47 fof(f2208,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c8)=multiply(sk_c7,identity)|~spl0_5|~spl0_6|~spl0_3|~spl0_1|~spl0_2),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f2099,f365])).
% 0.16/0.47 fof(f2209,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c8)=sk_c7|~spl0_5|~spl0_6|~spl0_3|~spl0_1|~spl0_2),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f798,f2208])).
% 0.16/0.47 fof(f2210,plain,(
% 0.16/0.47 multiply(sk_c8,sk_c8)=sk_c8|~spl0_5|~spl0_6|~spl0_3|~spl0_1|~spl0_2),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f2099,f2209])).
% 0.16/0.47 fof(f2212,plain,(
% 0.16/0.47 multiply(identity,sk_c7)=identity|~spl0_5|~spl0_6|~spl0_3|~spl0_1|~spl0_2),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f2194,f350])).
% 0.16/0.47 fof(f2213,plain,(
% 0.16/0.47 sk_c7=identity|~spl0_5|~spl0_6|~spl0_3|~spl0_1|~spl0_2),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f41,f2212])).
% 0.16/0.47 fof(f2214,plain,(
% 0.16/0.47 sk_c8=identity|~spl0_5|~spl0_6|~spl0_3|~spl0_1|~spl0_2),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f2099,f2213])).
% 0.16/0.47 fof(f2228,plain,(
% 0.16/0.47 inverse(identity)=sk_c7|~spl0_5|~spl0_6|~spl0_3|~spl0_1|~spl0_2|~spl0_4),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f2194,f1127])).
% 0.16/0.47 fof(f2229,plain,(
% 0.16/0.47 inverse(identity)=sk_c8|~spl0_5|~spl0_6|~spl0_3|~spl0_1|~spl0_2|~spl0_4),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f2099,f2228])).
% 0.16/0.47 fof(f2230,plain,(
% 0.16/0.47 inverse(identity)=identity|~spl0_5|~spl0_6|~spl0_3|~spl0_1|~spl0_2|~spl0_4),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f2214,f2229])).
% 0.16/0.47 fof(f2259,plain,(
% 0.16/0.47 ~sk_c8=identity|~spl0_5|~spl0_1|~spl0_6|~spl0_3|spl0_21),
% 0.16/0.47 inference(backward_demodulation,[status(thm)],[f2194,f2192])).
% 0.16/0.47 fof(f2260,plain,(
% 0.16/0.47 ~identity=identity|~spl0_2|~spl0_5|~spl0_1|~spl0_6|~spl0_3|spl0_21),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f2214,f2259])).
% 0.16/0.47 fof(f2261,plain,(
% 0.16/0.47 $false|~spl0_2|~spl0_5|~spl0_1|~spl0_6|~spl0_3|spl0_21),
% 0.16/0.47 inference(trivial_equality_resolution,[status(esa)],[f2260])).
% 0.16/0.47 fof(f2262,plain,(
% 0.16/0.47 ~spl0_2|~spl0_5|~spl0_1|~spl0_6|~spl0_3|spl0_21),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f2261])).
% 0.16/0.47 fof(f2560,plain,(
% 0.16/0.47 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c8|~inverse(X0)=sk_c8|~spl0_0|~spl0_1|~spl0_2|~spl0_6|~spl0_5|~spl0_13)),
% 0.16/0.47 inference(backward_demodulation,[status(thm)],[f1006,f171])).
% 0.16/0.47 fof(f2561,plain,(
% 0.16/0.47 ![X0]: (~multiply(identity,multiply(X0,sk_c8))=sk_c8|~inverse(X0)=sk_c8|~spl0_3|~spl0_0|~spl0_1|~spl0_2|~spl0_6|~spl0_5|~spl0_13)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f2214,f2560])).
% 0.16/0.47 fof(f2562,plain,(
% 0.16/0.47 ![X0]: (~multiply(X0,sk_c8)=sk_c8|~inverse(X0)=sk_c8|~spl0_3|~spl0_0|~spl0_1|~spl0_2|~spl0_6|~spl0_5|~spl0_13)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f41,f2561])).
% 0.16/0.47 fof(f2563,plain,(
% 0.16/0.47 ![X0]: (~multiply(X0,identity)=sk_c8|~inverse(X0)=sk_c8|~spl0_3|~spl0_0|~spl0_1|~spl0_2|~spl0_6|~spl0_5|~spl0_13)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f2214,f2562])).
% 0.16/0.47 fof(f2564,plain,(
% 0.16/0.47 ![X0]: (~X0=sk_c8|~inverse(X0)=sk_c8|~spl0_3|~spl0_0|~spl0_1|~spl0_2|~spl0_6|~spl0_5|~spl0_13)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f798,f2563])).
% 0.16/0.47 fof(f2565,plain,(
% 0.16/0.47 ![X0]: (~X0=identity|~inverse(X0)=sk_c8|~spl0_3|~spl0_0|~spl0_1|~spl0_2|~spl0_6|~spl0_5|~spl0_13)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f2214,f2564])).
% 0.16/0.47 fof(f2566,plain,(
% 0.16/0.47 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_3|~spl0_0|~spl0_1|~spl0_2|~spl0_6|~spl0_5|~spl0_13)),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f2214,f2565])).
% 0.16/0.47 fof(f2567,plain,(
% 0.16/0.47 ~inverse(identity)=identity|~spl0_3|~spl0_0|~spl0_1|~spl0_2|~spl0_6|~spl0_5|~spl0_13),
% 0.16/0.47 inference(destructive_equality_resolution,[status(esa)],[f2566])).
% 0.16/0.47 fof(f2568,plain,(
% 0.16/0.47 $false|~spl0_4|~spl0_3|~spl0_0|~spl0_1|~spl0_2|~spl0_6|~spl0_5|~spl0_13),
% 0.16/0.47 inference(forward_subsumption_resolution,[status(thm)],[f2567,f2230])).
% 0.16/0.47 fof(f2569,plain,(
% 0.16/0.47 ~spl0_4|~spl0_3|~spl0_0|~spl0_1|~spl0_2|~spl0_6|~spl0_5|~spl0_13),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f2568])).
% 0.16/0.47 fof(f2571,plain,(
% 0.16/0.47 ~sk_c8=identity|~spl0_2|~spl0_5|~spl0_1|~spl0_6|~spl0_3|spl0_0),
% 0.16/0.47 inference(backward_demodulation,[status(thm)],[f2210,f2207])).
% 0.16/0.47 fof(f2572,plain,(
% 0.16/0.47 ~identity=identity|~spl0_2|~spl0_5|~spl0_1|~spl0_6|~spl0_3|spl0_0),
% 0.16/0.47 inference(forward_demodulation,[status(thm)],[f2214,f2571])).
% 0.16/0.47 fof(f2573,plain,(
% 0.16/0.47 $false|~spl0_2|~spl0_5|~spl0_1|~spl0_6|~spl0_3|spl0_0),
% 0.16/0.47 inference(trivial_equality_resolution,[status(esa)],[f2572])).
% 0.16/0.47 fof(f2574,plain,(
% 0.16/0.47 ~spl0_2|~spl0_5|~spl0_1|~spl0_6|~spl0_3|spl0_0),
% 0.16/0.47 inference(contradiction_clause,[status(thm)],[f2573])).
% 0.16/0.47 fof(f2575,plain,(
% 0.16/0.47 $false),
% 0.16/0.47 inference(sat_refutation,[status(thm)],[f88,f92,f96,f104,f108,f112,f113,f114,f115,f116,f117,f121,f122,f123,f124,f125,f126,f130,f131,f132,f133,f134,f135,f139,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f153,f166,f170,f175,f179,f186,f584,f589,f769,f1355,f1444,f1470,f1482,f1603,f1917,f2262,f2569,f2574])).
% 0.16/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.48 % Elapsed time: 0.137464 seconds
% 0.16/0.48 % CPU time: 0.676014 seconds
% 0.16/0.48 % Memory used: 66.935 MB
%------------------------------------------------------------------------------