TSTP Solution File: GRP239-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP239-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:19:50 EDT 2024
% Result : Unsatisfiable 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP239-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:53:59 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.19/0.53 % Refutation found
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.53 fof(f1,axiom,(
% 0.19/0.53 (![X]: (multiply(identity,X) = X ))),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f2,axiom,(
% 0.19/0.53 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f3,axiom,(
% 0.19/0.53 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f4,negated_conjecture,(
% 0.19/0.53 ( inverse(sk_c9) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f5,negated_conjecture,(
% 0.19/0.53 ( inverse(sk_c9) = sk_c8| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f6,negated_conjecture,(
% 0.19/0.53 ( inverse(sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f7,negated_conjecture,(
% 0.19/0.53 ( inverse(sk_c9) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f8,negated_conjecture,(
% 0.19/0.53 ( inverse(sk_c9) = sk_c8| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f9,negated_conjecture,(
% 0.19/0.53 ( inverse(sk_c9) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f11,negated_conjecture,(
% 0.19/0.53 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f12,negated_conjecture,(
% 0.19/0.53 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f13,negated_conjecture,(
% 0.19/0.53 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f14,negated_conjecture,(
% 0.19/0.53 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f15,negated_conjecture,(
% 0.19/0.53 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f16,negated_conjecture,(
% 0.19/0.53 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f17,negated_conjecture,(
% 0.19/0.53 ( inverse(sk_c1) = sk_c9| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f18,negated_conjecture,(
% 0.19/0.53 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f19,negated_conjecture,(
% 0.19/0.53 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f20,negated_conjecture,(
% 0.19/0.53 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f21,negated_conjecture,(
% 0.19/0.53 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f22,negated_conjecture,(
% 0.19/0.53 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f23,negated_conjecture,(
% 0.19/0.53 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f24,negated_conjecture,(
% 0.19/0.53 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f25,negated_conjecture,(
% 0.19/0.53 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f26,negated_conjecture,(
% 0.19/0.53 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f27,negated_conjecture,(
% 0.19/0.53 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.19/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f28,negated_conjecture,(
% 0.19/0.54 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f29,negated_conjecture,(
% 0.19/0.54 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f30,negated_conjecture,(
% 0.19/0.54 ( multiply(sk_c9,sk_c3) = sk_c8| inverse(sk_c6) = sk_c7 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f31,negated_conjecture,(
% 0.19/0.54 ( multiply(sk_c9,sk_c3) = sk_c8| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f32,negated_conjecture,(
% 0.19/0.54 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c4) = sk_c9 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f33,negated_conjecture,(
% 0.19/0.54 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f34,negated_conjecture,(
% 0.19/0.54 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f35,negated_conjecture,(
% 0.19/0.54 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f36,negated_conjecture,(
% 0.19/0.54 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f37,negated_conjecture,(
% 0.19/0.54 ( multiply(sk_c2,sk_c9) = sk_c3| inverse(sk_c6) = sk_c7 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f38,negated_conjecture,(
% 0.19/0.54 ( multiply(sk_c2,sk_c9) = sk_c3| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f39,negated_conjecture,(
% 0.19/0.54 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f40,negated_conjecture,(
% 0.19/0.54 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f41,negated_conjecture,(
% 0.19/0.54 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f42,negated_conjecture,(
% 0.19/0.54 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f43,negated_conjecture,(
% 0.19/0.54 ( inverse(sk_c2) = sk_c9| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f44,negated_conjecture,(
% 0.19/0.54 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c7 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f45,negated_conjecture,(
% 0.19/0.54 ( inverse(sk_c2) = sk_c9| multiply(sk_c7,sk_c9) = sk_c8 ) ),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f46,negated_conjecture,(
% 0.19/0.54 (![X4,X5,X6,X1,X2,X7,X3]: (( inverse(sk_c9) != sk_c8| inverse(X4) != sk_c9| multiply(X4,sk_c8) != sk_c9| multiply(sk_c9,X5) != sk_c8| multiply(X6,sk_c9) != X5| inverse(X6) != sk_c9| inverse(X1) != sk_c9| multiply(X1,sk_c8) != sk_c9| multiply(X2,sk_c8) != sk_c9| inverse(X2) != sk_c8| multiply(X7,X3) != sk_c8| inverse(X7) != X3| multiply(X3,sk_c9) != sk_c8 ) ))),
% 0.19/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f47,plain,(
% 0.19/0.54 ![X0]: (multiply(identity,X0)=X0)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f1])).
% 0.19/0.54 fof(f48,plain,(
% 0.19/0.54 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f2])).
% 0.19/0.54 fof(f49,plain,(
% 0.19/0.54 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.54 fof(f50,plain,(
% 0.19/0.54 inverse(sk_c9)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f4])).
% 0.19/0.54 fof(f51,plain,(
% 0.19/0.54 inverse(sk_c9)=sk_c8|multiply(sk_c4,sk_c8)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f5])).
% 0.19/0.54 fof(f52,plain,(
% 0.19/0.54 inverse(sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f6])).
% 0.19/0.54 fof(f53,plain,(
% 0.19/0.54 inverse(sk_c9)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f7])).
% 0.19/0.54 fof(f54,plain,(
% 0.19/0.54 inverse(sk_c9)=sk_c8|multiply(sk_c6,sk_c7)=sk_c8),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f8])).
% 0.19/0.54 fof(f55,plain,(
% 0.19/0.54 inverse(sk_c9)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f9])).
% 0.19/0.54 fof(f57,plain,(
% 0.19/0.54 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f11])).
% 0.19/0.54 fof(f58,plain,(
% 0.19/0.54 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c8)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f12])).
% 0.19/0.54 fof(f59,plain,(
% 0.19/0.54 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f13])).
% 0.19/0.54 fof(f60,plain,(
% 0.19/0.54 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f14])).
% 0.19/0.54 fof(f61,plain,(
% 0.19/0.54 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c7)=sk_c8),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f15])).
% 0.19/0.54 fof(f62,plain,(
% 0.19/0.54 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f16])).
% 0.19/0.54 fof(f63,plain,(
% 0.19/0.54 inverse(sk_c1)=sk_c9|multiply(sk_c7,sk_c9)=sk_c8),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f17])).
% 0.19/0.54 fof(f64,plain,(
% 0.19/0.54 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f18])).
% 0.19/0.54 fof(f65,plain,(
% 0.19/0.54 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c4,sk_c8)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f19])).
% 0.19/0.54 fof(f66,plain,(
% 0.19/0.54 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f20])).
% 0.19/0.54 fof(f67,plain,(
% 0.19/0.54 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f21])).
% 0.19/0.54 fof(f68,plain,(
% 0.19/0.54 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c6,sk_c7)=sk_c8),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f22])).
% 0.19/0.54 fof(f69,plain,(
% 0.19/0.54 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f23])).
% 0.19/0.54 fof(f70,plain,(
% 0.19/0.54 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c7,sk_c9)=sk_c8),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f24])).
% 0.19/0.54 fof(f71,plain,(
% 0.19/0.54 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f25])).
% 0.19/0.54 fof(f72,plain,(
% 0.19/0.54 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c4,sk_c8)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f26])).
% 0.19/0.54 fof(f73,plain,(
% 0.19/0.54 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f27])).
% 0.19/0.54 fof(f74,plain,(
% 0.19/0.54 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f28])).
% 0.19/0.54 fof(f75,plain,(
% 0.19/0.54 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c6,sk_c7)=sk_c8),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f29])).
% 0.19/0.54 fof(f76,plain,(
% 0.19/0.54 multiply(sk_c9,sk_c3)=sk_c8|inverse(sk_c6)=sk_c7),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f30])).
% 0.19/0.54 fof(f77,plain,(
% 0.19/0.54 multiply(sk_c9,sk_c3)=sk_c8|multiply(sk_c7,sk_c9)=sk_c8),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f31])).
% 0.19/0.54 fof(f78,plain,(
% 0.19/0.54 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c4)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f32])).
% 0.19/0.54 fof(f79,plain,(
% 0.19/0.54 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c4,sk_c8)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f33])).
% 0.19/0.54 fof(f80,plain,(
% 0.19/0.54 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c5,sk_c8)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f34])).
% 0.19/0.54 fof(f81,plain,(
% 0.19/0.54 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f35])).
% 0.19/0.54 fof(f82,plain,(
% 0.19/0.54 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c6,sk_c7)=sk_c8),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f36])).
% 0.19/0.54 fof(f83,plain,(
% 0.19/0.54 multiply(sk_c2,sk_c9)=sk_c3|inverse(sk_c6)=sk_c7),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f37])).
% 0.19/0.54 fof(f84,plain,(
% 0.19/0.54 multiply(sk_c2,sk_c9)=sk_c3|multiply(sk_c7,sk_c9)=sk_c8),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f38])).
% 0.19/0.54 fof(f85,plain,(
% 0.19/0.54 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f39])).
% 0.19/0.54 fof(f86,plain,(
% 0.19/0.54 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c8)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f40])).
% 0.19/0.54 fof(f87,plain,(
% 0.19/0.54 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f41])).
% 0.19/0.54 fof(f88,plain,(
% 0.19/0.54 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f42])).
% 0.19/0.54 fof(f89,plain,(
% 0.19/0.54 inverse(sk_c2)=sk_c9|multiply(sk_c6,sk_c7)=sk_c8),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f43])).
% 0.19/0.54 fof(f90,plain,(
% 0.19/0.54 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c7),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f44])).
% 0.19/0.54 fof(f91,plain,(
% 0.19/0.54 inverse(sk_c2)=sk_c9|multiply(sk_c7,sk_c9)=sk_c8),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f45])).
% 0.19/0.54 fof(f92,plain,(
% 0.19/0.54 ![X3]: ((![X7]: (((![X2]: (((![X1]: (((![X6]: ((![X5]: (((![X4]: ((~inverse(sk_c9)=sk_c8|~inverse(X4)=sk_c9)|~multiply(X4,sk_c8)=sk_c9))|~multiply(sk_c9,X5)=sk_c8)|~multiply(X6,sk_c9)=X5))|~inverse(X6)=sk_c9))|~inverse(X1)=sk_c9)|~multiply(X1,sk_c8)=sk_c9))|~multiply(X2,sk_c8)=sk_c9)|~inverse(X2)=sk_c8))|~multiply(X7,X3)=sk_c8)|~inverse(X7)=X3))|~multiply(X3,sk_c9)=sk_c8)),
% 0.19/0.54 inference(miniscoping,[status(esa)],[f46])).
% 0.19/0.54 fof(f93,plain,(
% 0.19/0.54 ![X0,X1,X2,X3,X4,X5,X6]: (~inverse(sk_c9)=sk_c8|~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9|~inverse(X3)=sk_c9|~multiply(X3,sk_c8)=sk_c9|~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8|~multiply(X5,X6)=sk_c8|~inverse(X5)=X6|~multiply(X6,sk_c9)=sk_c8)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f92])).
% 0.19/0.54 fof(f94,plain,(
% 0.19/0.54 spl0_0 <=> inverse(sk_c9)=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f95,plain,(
% 0.19/0.54 inverse(sk_c9)=sk_c8|~spl0_0),
% 0.19/0.54 inference(component_clause,[status(thm)],[f94])).
% 0.19/0.54 fof(f96,plain,(
% 0.19/0.54 ~inverse(sk_c9)=sk_c8|spl0_0),
% 0.19/0.54 inference(component_clause,[status(thm)],[f94])).
% 0.19/0.54 fof(f97,plain,(
% 0.19/0.54 spl0_1 <=> inverse(sk_c4)=sk_c9),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f98,plain,(
% 0.19/0.54 inverse(sk_c4)=sk_c9|~spl0_1),
% 0.19/0.54 inference(component_clause,[status(thm)],[f97])).
% 0.19/0.54 fof(f100,plain,(
% 0.19/0.54 spl0_0|spl0_1),
% 0.19/0.54 inference(split_clause,[status(thm)],[f50,f94,f97])).
% 0.19/0.54 fof(f101,plain,(
% 0.19/0.54 spl0_2 <=> multiply(sk_c4,sk_c8)=sk_c9),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f102,plain,(
% 0.19/0.54 multiply(sk_c4,sk_c8)=sk_c9|~spl0_2),
% 0.19/0.54 inference(component_clause,[status(thm)],[f101])).
% 0.19/0.54 fof(f104,plain,(
% 0.19/0.54 spl0_0|spl0_2),
% 0.19/0.54 inference(split_clause,[status(thm)],[f51,f94,f101])).
% 0.19/0.54 fof(f105,plain,(
% 0.19/0.54 spl0_3 <=> multiply(sk_c5,sk_c8)=sk_c9),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f106,plain,(
% 0.19/0.54 multiply(sk_c5,sk_c8)=sk_c9|~spl0_3),
% 0.19/0.54 inference(component_clause,[status(thm)],[f105])).
% 0.19/0.54 fof(f108,plain,(
% 0.19/0.54 spl0_0|spl0_3),
% 0.19/0.54 inference(split_clause,[status(thm)],[f52,f94,f105])).
% 0.19/0.54 fof(f109,plain,(
% 0.19/0.54 spl0_4 <=> inverse(sk_c5)=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f110,plain,(
% 0.19/0.54 inverse(sk_c5)=sk_c8|~spl0_4),
% 0.19/0.54 inference(component_clause,[status(thm)],[f109])).
% 0.19/0.54 fof(f112,plain,(
% 0.19/0.54 spl0_0|spl0_4),
% 0.19/0.54 inference(split_clause,[status(thm)],[f53,f94,f109])).
% 0.19/0.54 fof(f113,plain,(
% 0.19/0.54 spl0_5 <=> multiply(sk_c6,sk_c7)=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f114,plain,(
% 0.19/0.54 multiply(sk_c6,sk_c7)=sk_c8|~spl0_5),
% 0.19/0.54 inference(component_clause,[status(thm)],[f113])).
% 0.19/0.54 fof(f116,plain,(
% 0.19/0.54 spl0_0|spl0_5),
% 0.19/0.54 inference(split_clause,[status(thm)],[f54,f94,f113])).
% 0.19/0.54 fof(f117,plain,(
% 0.19/0.54 spl0_6 <=> inverse(sk_c6)=sk_c7),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f118,plain,(
% 0.19/0.54 inverse(sk_c6)=sk_c7|~spl0_6),
% 0.19/0.54 inference(component_clause,[status(thm)],[f117])).
% 0.19/0.54 fof(f120,plain,(
% 0.19/0.54 spl0_0|spl0_6),
% 0.19/0.54 inference(split_clause,[status(thm)],[f55,f94,f117])).
% 0.19/0.54 fof(f121,plain,(
% 0.19/0.54 spl0_7 <=> multiply(sk_c7,sk_c9)=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f122,plain,(
% 0.19/0.54 multiply(sk_c7,sk_c9)=sk_c8|~spl0_7),
% 0.19/0.54 inference(component_clause,[status(thm)],[f121])).
% 0.19/0.54 fof(f125,plain,(
% 0.19/0.54 spl0_8 <=> inverse(sk_c1)=sk_c9),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f126,plain,(
% 0.19/0.54 inverse(sk_c1)=sk_c9|~spl0_8),
% 0.19/0.54 inference(component_clause,[status(thm)],[f125])).
% 0.19/0.54 fof(f128,plain,(
% 0.19/0.54 spl0_8|spl0_1),
% 0.19/0.54 inference(split_clause,[status(thm)],[f57,f125,f97])).
% 0.19/0.54 fof(f129,plain,(
% 0.19/0.54 spl0_8|spl0_2),
% 0.19/0.54 inference(split_clause,[status(thm)],[f58,f125,f101])).
% 0.19/0.54 fof(f130,plain,(
% 0.19/0.54 spl0_8|spl0_3),
% 0.19/0.54 inference(split_clause,[status(thm)],[f59,f125,f105])).
% 0.19/0.54 fof(f131,plain,(
% 0.19/0.54 spl0_8|spl0_4),
% 0.19/0.54 inference(split_clause,[status(thm)],[f60,f125,f109])).
% 0.19/0.54 fof(f132,plain,(
% 0.19/0.54 spl0_8|spl0_5),
% 0.19/0.54 inference(split_clause,[status(thm)],[f61,f125,f113])).
% 0.19/0.54 fof(f133,plain,(
% 0.19/0.54 spl0_8|spl0_6),
% 0.19/0.54 inference(split_clause,[status(thm)],[f62,f125,f117])).
% 0.19/0.54 fof(f134,plain,(
% 0.19/0.54 spl0_8|spl0_7),
% 0.19/0.54 inference(split_clause,[status(thm)],[f63,f125,f121])).
% 0.19/0.54 fof(f135,plain,(
% 0.19/0.54 spl0_9 <=> multiply(sk_c1,sk_c8)=sk_c9),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f136,plain,(
% 0.19/0.54 multiply(sk_c1,sk_c8)=sk_c9|~spl0_9),
% 0.19/0.54 inference(component_clause,[status(thm)],[f135])).
% 0.19/0.54 fof(f138,plain,(
% 0.19/0.54 spl0_9|spl0_1),
% 0.19/0.54 inference(split_clause,[status(thm)],[f64,f135,f97])).
% 0.19/0.54 fof(f139,plain,(
% 0.19/0.54 spl0_9|spl0_2),
% 0.19/0.54 inference(split_clause,[status(thm)],[f65,f135,f101])).
% 0.19/0.54 fof(f140,plain,(
% 0.19/0.54 spl0_9|spl0_3),
% 0.19/0.54 inference(split_clause,[status(thm)],[f66,f135,f105])).
% 0.19/0.54 fof(f141,plain,(
% 0.19/0.54 spl0_9|spl0_4),
% 0.19/0.54 inference(split_clause,[status(thm)],[f67,f135,f109])).
% 0.19/0.54 fof(f142,plain,(
% 0.19/0.54 spl0_9|spl0_5),
% 0.19/0.54 inference(split_clause,[status(thm)],[f68,f135,f113])).
% 0.19/0.54 fof(f143,plain,(
% 0.19/0.54 spl0_9|spl0_6),
% 0.19/0.54 inference(split_clause,[status(thm)],[f69,f135,f117])).
% 0.19/0.54 fof(f144,plain,(
% 0.19/0.54 spl0_9|spl0_7),
% 0.19/0.54 inference(split_clause,[status(thm)],[f70,f135,f121])).
% 0.19/0.54 fof(f145,plain,(
% 0.19/0.54 spl0_10 <=> multiply(sk_c9,sk_c3)=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f146,plain,(
% 0.19/0.54 multiply(sk_c9,sk_c3)=sk_c8|~spl0_10),
% 0.19/0.54 inference(component_clause,[status(thm)],[f145])).
% 0.19/0.54 fof(f148,plain,(
% 0.19/0.54 spl0_10|spl0_1),
% 0.19/0.54 inference(split_clause,[status(thm)],[f71,f145,f97])).
% 0.19/0.54 fof(f149,plain,(
% 0.19/0.54 spl0_10|spl0_2),
% 0.19/0.54 inference(split_clause,[status(thm)],[f72,f145,f101])).
% 0.19/0.54 fof(f150,plain,(
% 0.19/0.54 spl0_10|spl0_3),
% 0.19/0.54 inference(split_clause,[status(thm)],[f73,f145,f105])).
% 0.19/0.54 fof(f151,plain,(
% 0.19/0.54 spl0_10|spl0_4),
% 0.19/0.54 inference(split_clause,[status(thm)],[f74,f145,f109])).
% 0.19/0.54 fof(f152,plain,(
% 0.19/0.54 spl0_10|spl0_5),
% 0.19/0.54 inference(split_clause,[status(thm)],[f75,f145,f113])).
% 0.19/0.54 fof(f153,plain,(
% 0.19/0.54 spl0_10|spl0_6),
% 0.19/0.54 inference(split_clause,[status(thm)],[f76,f145,f117])).
% 0.19/0.54 fof(f154,plain,(
% 0.19/0.54 spl0_10|spl0_7),
% 0.19/0.54 inference(split_clause,[status(thm)],[f77,f145,f121])).
% 0.19/0.54 fof(f155,plain,(
% 0.19/0.54 spl0_11 <=> multiply(sk_c2,sk_c9)=sk_c3),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f156,plain,(
% 0.19/0.54 multiply(sk_c2,sk_c9)=sk_c3|~spl0_11),
% 0.19/0.54 inference(component_clause,[status(thm)],[f155])).
% 0.19/0.54 fof(f158,plain,(
% 0.19/0.54 spl0_11|spl0_1),
% 0.19/0.54 inference(split_clause,[status(thm)],[f78,f155,f97])).
% 0.19/0.54 fof(f159,plain,(
% 0.19/0.54 spl0_11|spl0_2),
% 0.19/0.54 inference(split_clause,[status(thm)],[f79,f155,f101])).
% 0.19/0.54 fof(f160,plain,(
% 0.19/0.54 spl0_11|spl0_3),
% 0.19/0.54 inference(split_clause,[status(thm)],[f80,f155,f105])).
% 0.19/0.54 fof(f161,plain,(
% 0.19/0.54 spl0_11|spl0_4),
% 0.19/0.54 inference(split_clause,[status(thm)],[f81,f155,f109])).
% 0.19/0.54 fof(f162,plain,(
% 0.19/0.54 spl0_11|spl0_5),
% 0.19/0.54 inference(split_clause,[status(thm)],[f82,f155,f113])).
% 0.19/0.54 fof(f163,plain,(
% 0.19/0.54 spl0_11|spl0_6),
% 0.19/0.54 inference(split_clause,[status(thm)],[f83,f155,f117])).
% 0.19/0.54 fof(f164,plain,(
% 0.19/0.54 spl0_11|spl0_7),
% 0.19/0.54 inference(split_clause,[status(thm)],[f84,f155,f121])).
% 0.19/0.54 fof(f165,plain,(
% 0.19/0.54 spl0_12 <=> inverse(sk_c2)=sk_c9),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f166,plain,(
% 0.19/0.54 inverse(sk_c2)=sk_c9|~spl0_12),
% 0.19/0.54 inference(component_clause,[status(thm)],[f165])).
% 0.19/0.54 fof(f168,plain,(
% 0.19/0.54 spl0_12|spl0_1),
% 0.19/0.54 inference(split_clause,[status(thm)],[f85,f165,f97])).
% 0.19/0.54 fof(f169,plain,(
% 0.19/0.54 spl0_12|spl0_2),
% 0.19/0.54 inference(split_clause,[status(thm)],[f86,f165,f101])).
% 0.19/0.54 fof(f170,plain,(
% 0.19/0.54 spl0_12|spl0_3),
% 0.19/0.54 inference(split_clause,[status(thm)],[f87,f165,f105])).
% 0.19/0.54 fof(f171,plain,(
% 0.19/0.54 spl0_12|spl0_4),
% 0.19/0.54 inference(split_clause,[status(thm)],[f88,f165,f109])).
% 0.19/0.54 fof(f172,plain,(
% 0.19/0.54 spl0_12|spl0_5),
% 0.19/0.54 inference(split_clause,[status(thm)],[f89,f165,f113])).
% 0.19/0.54 fof(f173,plain,(
% 0.19/0.54 spl0_12|spl0_6),
% 0.19/0.54 inference(split_clause,[status(thm)],[f90,f165,f117])).
% 0.19/0.54 fof(f174,plain,(
% 0.19/0.54 spl0_12|spl0_7),
% 0.19/0.54 inference(split_clause,[status(thm)],[f91,f165,f121])).
% 0.19/0.54 fof(f175,plain,(
% 0.19/0.54 spl0_13 <=> ~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f176,plain,(
% 0.19/0.54 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~spl0_13)),
% 0.19/0.54 inference(component_clause,[status(thm)],[f175])).
% 0.19/0.54 fof(f178,plain,(
% 0.19/0.54 spl0_14 <=> ~multiply(sk_c9,X1)=sk_c8|~multiply(X2,sk_c9)=X1|~inverse(X2)=sk_c9),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f179,plain,(
% 0.19/0.54 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c8|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~spl0_14)),
% 0.19/0.54 inference(component_clause,[status(thm)],[f178])).
% 0.19/0.54 fof(f181,plain,(
% 0.19/0.54 spl0_15 <=> ~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f182,plain,(
% 0.19/0.54 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~spl0_15)),
% 0.19/0.54 inference(component_clause,[status(thm)],[f181])).
% 0.19/0.54 fof(f184,plain,(
% 0.19/0.54 spl0_16 <=> ~multiply(X5,X6)=sk_c8|~inverse(X5)=X6|~multiply(X6,sk_c9)=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f185,plain,(
% 0.19/0.54 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c8|~spl0_16)),
% 0.19/0.54 inference(component_clause,[status(thm)],[f184])).
% 0.19/0.54 fof(f187,plain,(
% 0.19/0.54 ~spl0_0|spl0_13|spl0_14|spl0_15|spl0_16),
% 0.19/0.54 inference(split_clause,[status(thm)],[f93,f94,f175,f178,f181,f184])).
% 0.19/0.54 fof(f188,plain,(
% 0.19/0.54 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c9)=sk_c8|~spl0_16)),
% 0.19/0.54 inference(destructive_equality_resolution,[status(esa)],[f185])).
% 0.19/0.54 fof(f189,plain,(
% 0.19/0.54 spl0_17 <=> multiply(sk_c9,inverse(sk_c9))=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f192,plain,(
% 0.19/0.54 spl0_18 <=> multiply(sk_c8,sk_c9)=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f195,plain,(
% 0.19/0.54 ~multiply(sk_c9,inverse(sk_c9))=sk_c8|~multiply(sk_c8,sk_c9)=sk_c8|~spl0_16|~spl0_0),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f95,f188])).
% 0.19/0.54 fof(f196,plain,(
% 0.19/0.54 ~spl0_17|~spl0_18|~spl0_16|~spl0_0),
% 0.19/0.54 inference(split_clause,[status(thm)],[f195,f189,f192,f184,f94])).
% 0.19/0.54 fof(f197,plain,(
% 0.19/0.54 spl0_19 <=> multiply(sk_c4,inverse(sk_c4))=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f200,plain,(
% 0.19/0.54 spl0_20 <=> multiply(sk_c9,sk_c9)=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f201,plain,(
% 0.19/0.54 multiply(sk_c9,sk_c9)=sk_c8|~spl0_20),
% 0.19/0.54 inference(component_clause,[status(thm)],[f200])).
% 0.19/0.54 fof(f202,plain,(
% 0.19/0.54 ~multiply(sk_c9,sk_c9)=sk_c8|spl0_20),
% 0.19/0.54 inference(component_clause,[status(thm)],[f200])).
% 0.19/0.54 fof(f203,plain,(
% 0.19/0.54 ~multiply(sk_c4,inverse(sk_c4))=sk_c8|~multiply(sk_c9,sk_c9)=sk_c8|~spl0_16|~spl0_1),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f98,f188])).
% 0.19/0.54 fof(f204,plain,(
% 0.19/0.54 ~spl0_19|~spl0_20|~spl0_16|~spl0_1),
% 0.19/0.54 inference(split_clause,[status(thm)],[f203,f197,f200,f184,f97])).
% 0.19/0.54 fof(f205,plain,(
% 0.19/0.54 spl0_21 <=> multiply(sk_c5,inverse(sk_c5))=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f208,plain,(
% 0.19/0.54 ~multiply(sk_c5,inverse(sk_c5))=sk_c8|~multiply(sk_c8,sk_c9)=sk_c8|~spl0_16|~spl0_4),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f110,f188])).
% 0.19/0.54 fof(f209,plain,(
% 0.19/0.54 ~spl0_21|~spl0_18|~spl0_16|~spl0_4),
% 0.19/0.54 inference(split_clause,[status(thm)],[f208,f205,f192,f184,f109])).
% 0.19/0.54 fof(f210,plain,(
% 0.19/0.54 spl0_22 <=> multiply(sk_c6,inverse(sk_c6))=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f212,plain,(
% 0.19/0.54 ~multiply(sk_c6,inverse(sk_c6))=sk_c8|spl0_22),
% 0.19/0.54 inference(component_clause,[status(thm)],[f210])).
% 0.19/0.54 fof(f213,plain,(
% 0.19/0.54 ~multiply(sk_c6,inverse(sk_c6))=sk_c8|~multiply(sk_c7,sk_c9)=sk_c8|~spl0_16|~spl0_6),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f118,f188])).
% 0.19/0.54 fof(f214,plain,(
% 0.19/0.54 ~spl0_22|~spl0_7|~spl0_16|~spl0_6),
% 0.19/0.54 inference(split_clause,[status(thm)],[f213,f210,f121,f184,f117])).
% 0.19/0.54 fof(f215,plain,(
% 0.19/0.54 spl0_23 <=> multiply(sk_c1,inverse(sk_c1))=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f218,plain,(
% 0.19/0.54 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|~multiply(sk_c9,sk_c9)=sk_c8|~spl0_16|~spl0_8),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f126,f188])).
% 0.19/0.54 fof(f219,plain,(
% 0.19/0.54 ~spl0_23|~spl0_20|~spl0_16|~spl0_8),
% 0.19/0.54 inference(split_clause,[status(thm)],[f218,f215,f200,f184,f125])).
% 0.19/0.54 fof(f220,plain,(
% 0.19/0.54 spl0_24 <=> multiply(sk_c2,inverse(sk_c2))=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f223,plain,(
% 0.19/0.54 ~multiply(sk_c2,inverse(sk_c2))=sk_c8|~multiply(sk_c9,sk_c9)=sk_c8|~spl0_16|~spl0_12),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f166,f188])).
% 0.19/0.54 fof(f224,plain,(
% 0.19/0.54 ~spl0_24|~spl0_20|~spl0_16|~spl0_12),
% 0.19/0.54 inference(split_clause,[status(thm)],[f223,f220,f200,f184,f165])).
% 0.19/0.54 fof(f230,plain,(
% 0.19/0.54 spl0_25 <=> multiply(sk_c9,sk_c8)=sk_c9),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f233,plain,(
% 0.19/0.54 spl0_26 <=> sk_c8=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f235,plain,(
% 0.19/0.54 ~sk_c8=sk_c8|spl0_26),
% 0.19/0.54 inference(component_clause,[status(thm)],[f233])).
% 0.19/0.54 fof(f236,plain,(
% 0.19/0.54 ~multiply(sk_c9,sk_c8)=sk_c9|~sk_c8=sk_c8|~spl0_15|~spl0_0),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f95,f182])).
% 0.19/0.54 fof(f237,plain,(
% 0.19/0.54 ~spl0_25|~spl0_26|~spl0_15|~spl0_0),
% 0.19/0.54 inference(split_clause,[status(thm)],[f236,f230,f233,f181,f94])).
% 0.19/0.54 fof(f238,plain,(
% 0.19/0.54 spl0_27 <=> sk_c9=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f240,plain,(
% 0.19/0.54 ~sk_c9=sk_c8|spl0_27),
% 0.19/0.54 inference(component_clause,[status(thm)],[f238])).
% 0.19/0.54 fof(f241,plain,(
% 0.19/0.54 ~multiply(sk_c1,sk_c8)=sk_c9|~sk_c9=sk_c8|~spl0_15|~spl0_8),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f126,f182])).
% 0.19/0.54 fof(f242,plain,(
% 0.19/0.54 ~spl0_9|~spl0_27|~spl0_15|~spl0_8),
% 0.19/0.54 inference(split_clause,[status(thm)],[f241,f135,f238,f181,f125])).
% 0.19/0.54 fof(f248,plain,(
% 0.19/0.54 $false|spl0_26),
% 0.19/0.54 inference(trivial_equality_resolution,[status(esa)],[f235])).
% 0.19/0.54 fof(f249,plain,(
% 0.19/0.54 spl0_26),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f248])).
% 0.19/0.54 fof(f250,plain,(
% 0.19/0.54 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c8|~inverse(X0)=sk_c9|~spl0_14)),
% 0.19/0.54 inference(destructive_equality_resolution,[status(esa)],[f179])).
% 0.19/0.54 fof(f251,plain,(
% 0.19/0.54 ~multiply(sk_c9,sk_c3)=sk_c8|~inverse(sk_c2)=sk_c9|~spl0_14|~spl0_11),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f156,f250])).
% 0.19/0.54 fof(f252,plain,(
% 0.19/0.54 ~spl0_10|~spl0_12|~spl0_14|~spl0_11),
% 0.19/0.54 inference(split_clause,[status(thm)],[f251,f145,f165,f178,f155])).
% 0.19/0.54 fof(f255,plain,(
% 0.19/0.54 ~multiply(sk_c6,sk_c7)=sk_c8|~spl0_6|spl0_22),
% 0.19/0.54 inference(backward_demodulation,[status(thm)],[f118,f212])).
% 0.19/0.54 fof(f256,plain,(
% 0.19/0.54 ~sk_c8=sk_c8|~spl0_5|~spl0_6|spl0_22),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f114,f255])).
% 0.19/0.54 fof(f257,plain,(
% 0.19/0.54 $false|~spl0_5|~spl0_6|spl0_22),
% 0.19/0.54 inference(trivial_equality_resolution,[status(esa)],[f256])).
% 0.19/0.54 fof(f258,plain,(
% 0.19/0.54 ~spl0_5|~spl0_6|spl0_22),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f257])).
% 0.19/0.54 fof(f265,plain,(
% 0.19/0.54 ~multiply(sk_c1,sk_c8)=sk_c9|~spl0_13|~spl0_8),
% 0.19/0.54 inference(resolution,[status(thm)],[f176,f126])).
% 0.19/0.54 fof(f266,plain,(
% 0.19/0.54 ~sk_c9=sk_c9|~spl0_9|~spl0_13|~spl0_8),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f136,f265])).
% 0.19/0.54 fof(f267,plain,(
% 0.19/0.54 $false|~spl0_9|~spl0_13|~spl0_8),
% 0.19/0.54 inference(trivial_equality_resolution,[status(esa)],[f266])).
% 0.19/0.54 fof(f268,plain,(
% 0.19/0.54 ~spl0_9|~spl0_13|~spl0_8),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f267])).
% 0.19/0.54 fof(f270,plain,(
% 0.19/0.54 ~multiply(sk_c5,sk_c8)=sk_c9|~spl0_15|~spl0_4),
% 0.19/0.54 inference(resolution,[status(thm)],[f182,f110])).
% 0.19/0.54 fof(f271,plain,(
% 0.19/0.54 ~sk_c9=sk_c9|~spl0_3|~spl0_15|~spl0_4),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f106,f270])).
% 0.19/0.54 fof(f272,plain,(
% 0.19/0.54 $false|~spl0_3|~spl0_15|~spl0_4),
% 0.19/0.54 inference(trivial_equality_resolution,[status(esa)],[f271])).
% 0.19/0.54 fof(f273,plain,(
% 0.19/0.54 ~spl0_3|~spl0_15|~spl0_4),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f272])).
% 0.19/0.54 fof(f274,plain,(
% 0.19/0.54 ~multiply(sk_c4,sk_c8)=sk_c9|~spl0_13|~spl0_1),
% 0.19/0.54 inference(resolution,[status(thm)],[f176,f98])).
% 0.19/0.54 fof(f275,plain,(
% 0.19/0.54 ~sk_c9=sk_c9|~spl0_2|~spl0_13|~spl0_1),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f102,f274])).
% 0.19/0.54 fof(f276,plain,(
% 0.19/0.54 $false|~spl0_2|~spl0_13|~spl0_1),
% 0.19/0.54 inference(trivial_equality_resolution,[status(esa)],[f275])).
% 0.19/0.54 fof(f277,plain,(
% 0.19/0.54 ~spl0_2|~spl0_13|~spl0_1),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f276])).
% 0.19/0.54 fof(f279,plain,(
% 0.19/0.54 spl0_29 <=> multiply(sk_c9,sk_c8)=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f281,plain,(
% 0.19/0.54 ~multiply(sk_c9,sk_c8)=sk_c8|spl0_29),
% 0.19/0.54 inference(component_clause,[status(thm)],[f279])).
% 0.19/0.54 fof(f282,plain,(
% 0.19/0.54 spl0_30 <=> inverse(sk_c7)=sk_c9),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f285,plain,(
% 0.19/0.54 ~multiply(sk_c9,sk_c8)=sk_c8|~inverse(sk_c7)=sk_c9|~spl0_14|~spl0_7),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f122,f250])).
% 0.19/0.54 fof(f286,plain,(
% 0.19/0.54 ~spl0_29|~spl0_30|~spl0_14|~spl0_7),
% 0.19/0.54 inference(split_clause,[status(thm)],[f285,f279,f282,f178,f121])).
% 0.19/0.54 fof(f308,plain,(
% 0.19/0.54 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~spl0_5)),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f114,f49])).
% 0.19/0.54 fof(f337,plain,(
% 0.19/0.54 multiply(sk_c8,sk_c9)=identity|~spl0_0),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f95,f48])).
% 0.19/0.54 fof(f339,plain,(
% 0.19/0.54 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f48,f49])).
% 0.19/0.54 fof(f340,plain,(
% 0.19/0.54 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f47,f339])).
% 0.19/0.54 fof(f359,plain,(
% 0.19/0.54 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f47,f340])).
% 0.19/0.54 fof(f363,plain,(
% 0.19/0.54 sk_c8=multiply(inverse(sk_c1),sk_c9)|~spl0_9),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f136,f340])).
% 0.19/0.54 fof(f364,plain,(
% 0.19/0.54 sk_c8=multiply(sk_c9,sk_c9)|~spl0_8|~spl0_9),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f126,f363])).
% 0.19/0.54 fof(f365,plain,(
% 0.19/0.54 $false|spl0_20|~spl0_8|~spl0_9),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f364,f202])).
% 0.19/0.54 fof(f366,plain,(
% 0.19/0.54 spl0_20|~spl0_8|~spl0_9),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f365])).
% 0.19/0.54 fof(f368,plain,(
% 0.19/0.54 sk_c8=multiply(inverse(sk_c4),sk_c9)|~spl0_2),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f102,f340])).
% 0.19/0.54 fof(f369,plain,(
% 0.19/0.54 ![X0]: (multiply(sk_c7,X0)=multiply(inverse(sk_c6),multiply(sk_c8,X0))|~spl0_5)),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f308,f340])).
% 0.19/0.54 fof(f370,plain,(
% 0.19/0.54 sk_c7=multiply(inverse(sk_c6),sk_c8)|~spl0_5),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f114,f340])).
% 0.19/0.54 fof(f382,plain,(
% 0.19/0.54 multiply(sk_c8,sk_c5)=identity|~spl0_4),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f110,f48])).
% 0.19/0.54 fof(f392,plain,(
% 0.19/0.54 sk_c8=multiply(inverse(sk_c5),sk_c9)|~spl0_3),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f106,f340])).
% 0.19/0.54 fof(f395,plain,(
% 0.19/0.54 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c5,multiply(sk_c8,X0))|~spl0_3)),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f106,f49])).
% 0.19/0.54 fof(f416,plain,(
% 0.19/0.54 sk_c8=multiply(sk_c9,sk_c9)|~spl0_1|~spl0_2),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f98,f368])).
% 0.19/0.54 fof(f417,plain,(
% 0.19/0.54 $false|spl0_20|~spl0_1|~spl0_2),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f416,f202])).
% 0.19/0.54 fof(f418,plain,(
% 0.19/0.54 spl0_20|~spl0_1|~spl0_2),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f417])).
% 0.19/0.54 fof(f431,plain,(
% 0.19/0.54 sk_c9=multiply(inverse(sk_c9),sk_c8)|~spl0_8|~spl0_9),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f364,f340])).
% 0.19/0.54 fof(f432,plain,(
% 0.19/0.54 sk_c9=multiply(sk_c8,sk_c8)|~spl0_0|~spl0_8|~spl0_9),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f95,f431])).
% 0.19/0.54 fof(f435,plain,(
% 0.19/0.54 sk_c9=multiply(inverse(sk_c2),sk_c3)|~spl0_11),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f156,f340])).
% 0.19/0.54 fof(f436,plain,(
% 0.19/0.54 sk_c9=multiply(sk_c9,sk_c3)|~spl0_12|~spl0_11),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f166,f435])).
% 0.19/0.54 fof(f437,plain,(
% 0.19/0.54 sk_c9=sk_c8|~spl0_10|~spl0_12|~spl0_11),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f146,f436])).
% 0.19/0.54 fof(f438,plain,(
% 0.19/0.54 $false|spl0_27|~spl0_10|~spl0_12|~spl0_11),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f437,f240])).
% 0.19/0.54 fof(f439,plain,(
% 0.19/0.54 spl0_27|~spl0_10|~spl0_12|~spl0_11),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f438])).
% 0.19/0.54 fof(f463,plain,(
% 0.19/0.54 spl0_32 <=> multiply(sk_c9,identity)=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f466,plain,(
% 0.19/0.54 spl0_33 <=> inverse(sk_c8)=sk_c9),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f468,plain,(
% 0.19/0.54 ~inverse(sk_c8)=sk_c9|spl0_33),
% 0.19/0.54 inference(component_clause,[status(thm)],[f466])).
% 0.19/0.54 fof(f469,plain,(
% 0.19/0.54 ~multiply(sk_c9,identity)=sk_c8|~inverse(sk_c8)=sk_c9|~spl0_14|~spl0_0),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f337,f250])).
% 0.19/0.54 fof(f470,plain,(
% 0.19/0.54 ~spl0_32|~spl0_33|~spl0_14|~spl0_0),
% 0.19/0.54 inference(split_clause,[status(thm)],[f469,f463,f466,f178,f94])).
% 0.19/0.54 fof(f471,plain,(
% 0.19/0.54 spl0_34 <=> inverse(inverse(identity))=sk_c9),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f474,plain,(
% 0.19/0.54 ~multiply(sk_c9,sk_c9)=sk_c8|~inverse(inverse(identity))=sk_c9|~spl0_14),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f359,f250])).
% 0.19/0.54 fof(f475,plain,(
% 0.19/0.54 ~spl0_20|~spl0_34|~spl0_14),
% 0.19/0.54 inference(split_clause,[status(thm)],[f474,f200,f471,f178])).
% 0.19/0.54 fof(f476,plain,(
% 0.19/0.54 spl0_35 <=> inverse(inverse(sk_c9))=sk_c9),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f477,plain,(
% 0.19/0.54 inverse(inverse(sk_c9))=sk_c9|~spl0_35),
% 0.19/0.54 inference(component_clause,[status(thm)],[f476])).
% 0.19/0.54 fof(f478,plain,(
% 0.19/0.54 ~inverse(inverse(sk_c9))=sk_c9|spl0_35),
% 0.19/0.54 inference(component_clause,[status(thm)],[f476])).
% 0.19/0.54 fof(f479,plain,(
% 0.19/0.54 ~multiply(sk_c9,identity)=sk_c8|~inverse(inverse(sk_c9))=sk_c9|~spl0_14),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f48,f250])).
% 0.19/0.54 fof(f480,plain,(
% 0.19/0.54 ~spl0_32|~spl0_35|~spl0_14),
% 0.19/0.54 inference(split_clause,[status(thm)],[f479,f463,f476,f178])).
% 0.19/0.54 fof(f481,plain,(
% 0.19/0.54 spl0_36 <=> inverse(identity)=sk_c9),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f484,plain,(
% 0.19/0.54 ~multiply(sk_c9,sk_c9)=sk_c8|~inverse(identity)=sk_c9|~spl0_14),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f47,f250])).
% 0.19/0.54 fof(f485,plain,(
% 0.19/0.54 ~spl0_20|~spl0_36|~spl0_14),
% 0.19/0.54 inference(split_clause,[status(thm)],[f484,f200,f481,f178])).
% 0.19/0.54 fof(f487,plain,(
% 0.19/0.54 spl0_37 <=> inverse(sk_c9)=sk_c9),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f488,plain,(
% 0.19/0.54 inverse(sk_c9)=sk_c9|~spl0_37),
% 0.19/0.54 inference(component_clause,[status(thm)],[f487])).
% 0.19/0.54 fof(f489,plain,(
% 0.19/0.54 ~inverse(sk_c9)=sk_c9|spl0_37),
% 0.19/0.54 inference(component_clause,[status(thm)],[f487])).
% 0.19/0.54 fof(f490,plain,(
% 0.19/0.54 ~multiply(sk_c9,sk_c8)=sk_c8|~inverse(sk_c9)=sk_c9|~spl0_14|~spl0_8|~spl0_9),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f364,f250])).
% 0.19/0.54 fof(f491,plain,(
% 0.19/0.54 ~spl0_29|~spl0_37|~spl0_14|~spl0_8|~spl0_9),
% 0.19/0.54 inference(split_clause,[status(thm)],[f490,f279,f487,f178,f125,f135])).
% 0.19/0.54 fof(f501,plain,(
% 0.19/0.54 sk_c8=multiply(inverse(sk_c4),sk_c9)|~spl0_2),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f102,f340])).
% 0.19/0.54 fof(f502,plain,(
% 0.19/0.54 sk_c8=multiply(sk_c9,sk_c9)|~spl0_1|~spl0_2),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f98,f501])).
% 0.19/0.54 fof(f504,plain,(
% 0.19/0.54 spl0_38 <=> multiply(identity,inverse(identity))=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f507,plain,(
% 0.19/0.54 ~multiply(identity,inverse(identity))=sk_c8|~sk_c9=sk_c8|~spl0_16),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f359,f188])).
% 0.19/0.54 fof(f508,plain,(
% 0.19/0.54 ~spl0_38|~spl0_27|~spl0_16),
% 0.19/0.54 inference(split_clause,[status(thm)],[f507,f504,f238,f184])).
% 0.19/0.54 fof(f509,plain,(
% 0.19/0.54 spl0_39 <=> identity=sk_c8),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f511,plain,(
% 0.19/0.54 ~identity=sk_c8|spl0_39),
% 0.19/0.54 inference(component_clause,[status(thm)],[f509])).
% 0.19/0.54 fof(f512,plain,(
% 0.19/0.54 ~multiply(sk_c9,inverse(sk_c9))=sk_c8|~identity=sk_c8|~spl0_16),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f48,f188])).
% 0.19/0.54 fof(f513,plain,(
% 0.19/0.54 ~spl0_17|~spl0_39|~spl0_16),
% 0.19/0.54 inference(split_clause,[status(thm)],[f512,f189,f509,f184])).
% 0.19/0.54 fof(f522,plain,(
% 0.19/0.54 ~inverse(sk_c8)=sk_c9|~spl0_0|spl0_35),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f95,f478])).
% 0.19/0.54 fof(f524,plain,(
% 0.19/0.54 ~sk_c8=sk_c9|~spl0_0|spl0_37),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f95,f489])).
% 0.19/0.54 fof(f524,plain,(
% 0.19/0.54 ~sk_c8=sk_c9|~spl0_0|spl0_37),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f95,f489])).
% 0.19/0.54 fof(f561,plain,(
% 0.19/0.54 ~multiply(sk_c9,sk_c8)=sk_c8|~inverse(sk_c9)=sk_c9|~spl0_14|~spl0_1|~spl0_2),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f502,f250])).
% 0.19/0.54 fof(f562,plain,(
% 0.19/0.54 ~spl0_29|~spl0_37|~spl0_14|~spl0_1|~spl0_2),
% 0.19/0.54 inference(split_clause,[status(thm)],[f561,f279,f487,f178,f97,f101])).
% 0.19/0.54 fof(f586,plain,(
% 0.19/0.54 sk_c7=multiply(sk_c7,sk_c8)|~spl0_6|~spl0_5),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f118,f370])).
% 0.19/0.54 fof(f587,plain,(
% 0.19/0.54 multiply(sk_c8,sk_c8)=multiply(sk_c6,sk_c7)|~spl0_6|~spl0_5),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f586,f308])).
% 0.19/0.54 fof(f590,plain,(
% 0.19/0.54 sk_c8=multiply(inverse(sk_c7),sk_c7)|~spl0_6|~spl0_5),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f586,f340])).
% 0.19/0.54 fof(f591,plain,(
% 0.19/0.54 sk_c8=identity|~spl0_6|~spl0_5),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f48,f590])).
% 0.19/0.54 fof(f594,plain,(
% 0.19/0.54 sk_c8=multiply(sk_c8,sk_c9)|~spl0_4|~spl0_3),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f110,f392])).
% 0.19/0.54 fof(f595,plain,(
% 0.19/0.54 sk_c8=identity|~spl0_0|~spl0_4|~spl0_3),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f337,f594])).
% 0.19/0.54 fof(f602,plain,(
% 0.19/0.54 identity=multiply(sk_c9,sk_c9)|~spl0_0|~spl0_4|~spl0_3|~spl0_1|~spl0_2),
% 0.19/0.54 inference(backward_demodulation,[status(thm)],[f595,f502])).
% 0.19/0.54 fof(f617,plain,(
% 0.19/0.54 inverse(sk_c9)=identity|~spl0_4|~spl0_3|~spl0_0),
% 0.19/0.54 inference(backward_demodulation,[status(thm)],[f595,f95])).
% 0.19/0.54 fof(f623,plain,(
% 0.19/0.54 ![X0]: (X0=multiply(identity,multiply(sk_c9,X0))|~spl0_4|~spl0_3|~spl0_0)),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f617,f340])).
% 0.19/0.54 fof(f624,plain,(
% 0.19/0.54 ![X0]: (X0=multiply(sk_c9,X0)|~spl0_4|~spl0_3|~spl0_0)),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f47,f623])).
% 0.19/0.54 fof(f635,plain,(
% 0.19/0.54 identity=sk_c9|~spl0_0|~spl0_4|~spl0_3|~spl0_1|~spl0_2),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f624,f602])).
% 0.19/0.54 fof(f730,plain,(
% 0.19/0.54 ~identity=sk_c9|~spl0_4|~spl0_3|~spl0_0|spl0_37),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f595,f524])).
% 0.19/0.54 fof(f731,plain,(
% 0.19/0.54 ~identity=identity|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_0|spl0_37),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f635,f730])).
% 0.19/0.54 fof(f732,plain,(
% 0.19/0.54 $false|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_0|spl0_37),
% 0.19/0.54 inference(trivial_equality_resolution,[status(esa)],[f731])).
% 0.19/0.54 fof(f733,plain,(
% 0.19/0.54 ~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_0|spl0_37),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f732])).
% 0.19/0.54 fof(f734,plain,(
% 0.19/0.54 ~multiply(identity,sk_c8)=sk_c8|~spl0_0|~spl0_4|~spl0_3|~spl0_1|~spl0_2|spl0_29),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f635,f281])).
% 0.19/0.54 fof(f735,plain,(
% 0.19/0.54 ~sk_c8=sk_c8|~spl0_0|~spl0_4|~spl0_3|~spl0_1|~spl0_2|spl0_29),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f47,f734])).
% 0.19/0.54 fof(f736,plain,(
% 0.19/0.54 ~identity=sk_c8|~spl0_0|~spl0_4|~spl0_3|~spl0_1|~spl0_2|spl0_29),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f595,f735])).
% 0.19/0.54 fof(f737,plain,(
% 0.19/0.54 ~identity=identity|~spl0_0|~spl0_4|~spl0_3|~spl0_1|~spl0_2|spl0_29),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f595,f736])).
% 0.19/0.54 fof(f738,plain,(
% 0.19/0.54 $false|~spl0_0|~spl0_4|~spl0_3|~spl0_1|~spl0_2|spl0_29),
% 0.19/0.54 inference(trivial_equality_resolution,[status(esa)],[f737])).
% 0.19/0.54 fof(f739,plain,(
% 0.19/0.54 ~spl0_0|~spl0_4|~spl0_3|~spl0_1|~spl0_2|spl0_29),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f738])).
% 0.19/0.54 fof(f740,plain,(
% 0.19/0.54 ~spl0_27|~spl0_0|spl0_37),
% 0.19/0.54 inference(split_clause,[status(thm)],[f524,f238,f94,f487])).
% 0.19/0.54 fof(f771,plain,(
% 0.19/0.54 sk_c8=sk_c9|~spl0_0|~spl0_37),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f95,f488])).
% 0.19/0.54 fof(f772,plain,(
% 0.19/0.54 ~inverse(sk_c9)=sk_c9|~spl0_0|~spl0_37|spl0_33),
% 0.19/0.54 inference(backward_demodulation,[status(thm)],[f771,f468])).
% 0.19/0.54 fof(f773,plain,(
% 0.19/0.54 ~spl0_37|~spl0_0|spl0_33),
% 0.19/0.54 inference(split_clause,[status(thm)],[f772,f487,f94,f466])).
% 0.19/0.54 fof(f781,plain,(
% 0.19/0.54 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c9)=sk_c9|~spl0_0|~spl0_37|~spl0_16)),
% 0.19/0.54 inference(backward_demodulation,[status(thm)],[f771,f188])).
% 0.19/0.54 fof(f782,plain,(
% 0.19/0.54 ![X0]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c9)=sk_c9|~spl0_0|~spl0_37|~spl0_16)),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f771,f781])).
% 0.19/0.54 fof(f783,plain,(
% 0.19/0.54 ~spl0_33|~spl0_0|spl0_35),
% 0.19/0.54 inference(split_clause,[status(thm)],[f522,f466,f94,f476])).
% 0.19/0.54 fof(f802,plain,(
% 0.19/0.54 multiply(sk_c9,sk_c9)=identity|~spl0_37|~spl0_0),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f771,f337])).
% 0.19/0.54 fof(f807,plain,(
% 0.19/0.54 sk_c9=multiply(sk_c9,sk_c8)|~spl0_37|~spl0_0|~spl0_8|~spl0_9),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f771,f432])).
% 0.19/0.54 fof(f808,plain,(
% 0.19/0.54 sk_c9=multiply(sk_c9,sk_c9)|~spl0_37|~spl0_0|~spl0_8|~spl0_9),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f771,f807])).
% 0.19/0.54 fof(f809,plain,(
% 0.19/0.54 sk_c9=identity|~spl0_37|~spl0_0|~spl0_8|~spl0_9),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f802,f808])).
% 0.19/0.54 fof(f887,plain,(
% 0.19/0.54 ![X0]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),sk_c9)=sk_c9|~spl0_8|~spl0_9|~spl0_0|~spl0_37|~spl0_16)),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f809,f782])).
% 0.19/0.54 fof(f888,plain,(
% 0.19/0.54 ![X0]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),identity)=sk_c9|~spl0_8|~spl0_9|~spl0_0|~spl0_37|~spl0_16)),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f809,f887])).
% 0.19/0.54 fof(f889,plain,(
% 0.19/0.54 ![X0]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),identity)=identity|~spl0_8|~spl0_9|~spl0_0|~spl0_37|~spl0_16)),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f809,f888])).
% 0.19/0.54 fof(f894,plain,(
% 0.19/0.54 spl0_40 <=> multiply(identity,inverse(identity))=identity),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f897,plain,(
% 0.19/0.54 spl0_41 <=> identity=identity),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f899,plain,(
% 0.19/0.54 ~identity=identity|spl0_41),
% 0.19/0.54 inference(component_clause,[status(thm)],[f897])).
% 0.19/0.54 fof(f900,plain,(
% 0.19/0.54 ~multiply(identity,inverse(identity))=identity|~identity=identity|~spl0_8|~spl0_9|~spl0_0|~spl0_37|~spl0_16),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f359,f889])).
% 0.19/0.54 fof(f901,plain,(
% 0.19/0.54 ~spl0_40|~spl0_41|~spl0_8|~spl0_9|~spl0_0|~spl0_37|~spl0_16),
% 0.19/0.54 inference(split_clause,[status(thm)],[f900,f894,f897,f125,f135,f94,f487,f184])).
% 0.19/0.54 fof(f905,plain,(
% 0.19/0.54 $false|spl0_41),
% 0.19/0.54 inference(trivial_equality_resolution,[status(esa)],[f899])).
% 0.19/0.54 fof(f906,plain,(
% 0.19/0.54 spl0_41),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f905])).
% 0.19/0.54 fof(f917,plain,(
% 0.19/0.54 inverse(inverse(identity))=sk_c9|~spl0_37|~spl0_0|~spl0_8|~spl0_9|~spl0_35),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f809,f477])).
% 0.19/0.54 fof(f918,plain,(
% 0.19/0.54 inverse(inverse(identity))=identity|~spl0_37|~spl0_0|~spl0_8|~spl0_9|~spl0_35),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f809,f917])).
% 0.19/0.54 fof(f919,plain,(
% 0.19/0.54 spl0_42 <=> multiply(inverse(identity),inverse(inverse(identity)))=identity),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f921,plain,(
% 0.19/0.54 ~multiply(inverse(identity),inverse(inverse(identity)))=identity|spl0_42),
% 0.19/0.54 inference(component_clause,[status(thm)],[f919])).
% 0.19/0.54 fof(f922,plain,(
% 0.19/0.54 spl0_43 <=> multiply(identity,identity)=identity),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f924,plain,(
% 0.19/0.54 ~multiply(identity,identity)=identity|spl0_43),
% 0.19/0.54 inference(component_clause,[status(thm)],[f922])).
% 0.19/0.54 fof(f925,plain,(
% 0.19/0.54 ~multiply(inverse(identity),inverse(inverse(identity)))=identity|~multiply(identity,identity)=identity|~spl0_16|~spl0_37|~spl0_0|~spl0_8|~spl0_9|~spl0_35),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f918,f889])).
% 0.19/0.54 fof(f926,plain,(
% 0.19/0.54 ~spl0_42|~spl0_43|~spl0_16|~spl0_37|~spl0_0|~spl0_8|~spl0_9|~spl0_35),
% 0.19/0.54 inference(split_clause,[status(thm)],[f925,f919,f922,f184,f487,f94,f125,f135,f476])).
% 0.19/0.54 fof(f931,plain,(
% 0.19/0.54 ~inverse(inverse(identity))=identity|spl0_42),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f359,f921])).
% 0.19/0.54 fof(f932,plain,(
% 0.19/0.54 ~identity=identity|~spl0_37|~spl0_0|~spl0_8|~spl0_9|~spl0_35|spl0_42),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f918,f931])).
% 0.19/0.54 fof(f933,plain,(
% 0.19/0.54 $false|~spl0_37|~spl0_0|~spl0_8|~spl0_9|~spl0_35|spl0_42),
% 0.19/0.54 inference(trivial_equality_resolution,[status(esa)],[f932])).
% 0.19/0.54 fof(f934,plain,(
% 0.19/0.54 ~spl0_37|~spl0_0|~spl0_8|~spl0_9|~spl0_35|spl0_42),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f933])).
% 0.19/0.54 fof(f935,plain,(
% 0.19/0.54 ~identity=identity|spl0_43),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f47,f924])).
% 0.19/0.54 fof(f936,plain,(
% 0.19/0.54 $false|spl0_43),
% 0.19/0.54 inference(trivial_equality_resolution,[status(esa)],[f935])).
% 0.19/0.54 fof(f937,plain,(
% 0.19/0.54 spl0_43),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f936])).
% 0.19/0.54 fof(f968,plain,(
% 0.19/0.54 multiply(sk_c9,sk_c9)=multiply(sk_c5,sk_c8)|~spl0_4|~spl0_3),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f594,f395])).
% 0.19/0.54 fof(f969,plain,(
% 0.19/0.54 sk_c8=multiply(sk_c5,sk_c8)|~spl0_20|~spl0_4|~spl0_3),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f201,f968])).
% 0.19/0.54 fof(f970,plain,(
% 0.19/0.54 sk_c8=sk_c9|~spl0_20|~spl0_4|~spl0_3),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f106,f969])).
% 0.19/0.54 fof(f1004,plain,(
% 0.19/0.54 multiply(sk_c8,sk_c8)=sk_c8|~spl0_6|~spl0_5),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f114,f587])).
% 0.19/0.54 fof(f1005,plain,(
% 0.19/0.54 multiply(sk_c9,sk_c8)=multiply(sk_c5,sk_c8)|~spl0_3|~spl0_6|~spl0_5),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f1004,f395])).
% 0.19/0.54 fof(f1006,plain,(
% 0.19/0.54 multiply(sk_c9,sk_c8)=sk_c9|~spl0_3|~spl0_6|~spl0_5),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f106,f1005])).
% 0.19/0.54 fof(f1028,plain,(
% 0.19/0.54 sk_c8=multiply(inverse(sk_c9),sk_c9)|~spl0_3|~spl0_6|~spl0_5),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f1006,f340])).
% 0.19/0.54 fof(f1029,plain,(
% 0.19/0.54 sk_c8=identity|~spl0_3|~spl0_6|~spl0_5),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f48,f1028])).
% 0.19/0.54 fof(f1030,plain,(
% 0.19/0.54 $false|spl0_39|~spl0_3|~spl0_6|~spl0_5),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f1029,f511])).
% 0.19/0.54 fof(f1031,plain,(
% 0.19/0.54 spl0_39|~spl0_3|~spl0_6|~spl0_5),
% 0.19/0.55 inference(contradiction_clause,[status(thm)],[f1030])).
% 0.19/0.55 fof(f1050,plain,(
% 0.19/0.55 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c7,multiply(sk_c8,X0))|~spl0_6|~spl0_5)),
% 0.19/0.55 inference(forward_demodulation,[status(thm)],[f118,f369])).
% 0.19/0.55 fof(f1055,plain,(
% 0.19/0.55 ![X0]: (multiply(sk_c8,X0)=multiply(inverse(sk_c7),multiply(sk_c7,X0))|~spl0_6|~spl0_5)),
% 0.19/0.55 inference(paramodulation,[status(thm)],[f1050,f340])).
% 0.19/0.55 fof(f1056,plain,(
% 0.19/0.55 ![X0]: (multiply(sk_c8,X0)=X0|~spl0_6|~spl0_5)),
% 0.19/0.55 inference(forward_demodulation,[status(thm)],[f340,f1055])).
% 0.19/0.55 fof(f1060,plain,(
% 0.19/0.55 sk_c8=sk_c9|~spl0_6|~spl0_5|~spl0_4|~spl0_3),
% 0.19/0.55 inference(backward_demodulation,[status(thm)],[f1056,f594])).
% 0.19/0.55 fof(f1061,plain,(
% 0.19/0.55 spl0_27|~spl0_6|~spl0_5|~spl0_4|~spl0_3),
% 0.19/0.55 inference(split_clause,[status(thm)],[f1060,f238,f117,f113,f109,f105])).
% 0.19/0.55 fof(f1062,plain,(
% 0.19/0.55 sk_c5=identity|~spl0_6|~spl0_5|~spl0_4),
% 0.19/0.55 inference(backward_demodulation,[status(thm)],[f1056,f382])).
% 0.19/0.55 fof(f1120,plain,(
% 0.19/0.55 ~inverse(sk_c9)=identity|~spl0_6|~spl0_5|spl0_0),
% 0.19/0.55 inference(backward_demodulation,[status(thm)],[f591,f96])).
% 0.19/0.55 fof(f1121,plain,(
% 0.19/0.55 inverse(sk_c5)=identity|~spl0_6|~spl0_5|~spl0_4),
% 0.19/0.55 inference(backward_demodulation,[status(thm)],[f591,f110])).
% 0.19/0.55 fof(f1136,plain,(
% 0.19/0.55 identity=sk_c9|~spl0_6|~spl0_5|~spl0_20|~spl0_4|~spl0_3),
% 0.19/0.55 inference(forward_demodulation,[status(thm)],[f591,f970])).
% 0.19/0.55 fof(f1138,plain,(
% 0.19/0.55 ~inverse(identity)=identity|~spl0_20|~spl0_4|~spl0_3|~spl0_6|~spl0_5|spl0_0),
% 0.19/0.55 inference(backward_demodulation,[status(thm)],[f1136,f1120])).
% 0.19/0.55 fof(f1169,plain,(
% 0.19/0.55 inverse(identity)=identity|~spl0_6|~spl0_5|~spl0_4),
% 0.19/0.55 inference(backward_demodulation,[status(thm)],[f1062,f1121])).
% 0.19/0.55 fof(f1186,plain,(
% 0.19/0.55 $false|~spl0_20|~spl0_3|spl0_0|~spl0_6|~spl0_5|~spl0_4),
% 0.19/0.55 inference(forward_subsumption_resolution,[status(thm)],[f1169,f1138])).
% 0.19/0.55 fof(f1187,plain,(
% 0.19/0.55 ~spl0_20|~spl0_3|spl0_0|~spl0_6|~spl0_5|~spl0_4),
% 0.19/0.55 inference(contradiction_clause,[status(thm)],[f1186])).
% 0.19/0.55 fof(f1188,plain,(
% 0.19/0.55 $false),
% 0.19/0.55 inference(sat_refutation,[status(thm)],[f100,f104,f108,f112,f116,f120,f128,f129,f130,f131,f132,f133,f134,f138,f139,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f153,f154,f158,f159,f160,f161,f162,f163,f164,f168,f169,f170,f171,f172,f173,f174,f187,f196,f204,f209,f214,f219,f224,f237,f242,f249,f252,f258,f268,f273,f277,f286,f366,f418,f439,f470,f475,f480,f485,f491,f508,f513,f562,f733,f739,f740,f773,f783,f901,f906,f926,f934,f937,f1031,f1061,f1187])).
% 0.19/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.55 % Elapsed time: 0.202812 seconds
% 0.19/0.55 % CPU time: 1.505290 seconds
% 0.19/0.55 % Total memory used: 89.722 MB
% 0.19/0.55 % Net memory used: 88.462 MB
%------------------------------------------------------------------------------