TSTP Solution File: GRP247-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP247-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:11:06 EDT 2023
% Result : Unsatisfiable 0.20s 0.40s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP247-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 11:29:47 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.20/0.40 % Refutation found
% 0.20/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.40 fof(f1,axiom,(
% 0.20/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f2,axiom,(
% 0.20/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f3,axiom,(
% 0.20/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f4,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f5,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f6,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f7,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f8,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f9,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f10,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f11,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f12,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f13,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f14,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f15,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f16,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f17,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c4) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f18,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f19,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f20,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c6) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f21,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f22,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f23,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f24,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f25,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f26,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f27,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f28,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c3) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f29,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c3) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f30,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c3) = sk_c9| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f31,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c3) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f32,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c3) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f33,negated_conjecture,(
% 0.20/0.40 ( inverse(sk_c3) = sk_c9| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f34,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f35,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f36,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f37,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f38,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f39,negated_conjecture,(
% 0.20/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f40,negated_conjecture,(
% 0.20/0.40 (![X4,X5,X6,X1,X2,X3]: (( multiply(X4,sk_c9) != sk_c8| inverse(X4) != sk_c9| multiply(X5,sk_c8) != sk_c7| inverse(X5) != sk_c8| inverse(X6) != sk_c9| multiply(X6,sk_c7) != sk_c9| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(X2,sk_c8) != sk_c7| inverse(X2) != sk_c8| inverse(X3) != sk_c9| multiply(X3,sk_c8) != sk_c9 ) ))),
% 0.20/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.40 fof(f41,plain,(
% 0.20/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.40 fof(f42,plain,(
% 0.20/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.40 fof(f43,plain,(
% 0.20/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.40 fof(f44,plain,(
% 0.20/0.40 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.40 fof(f45,plain,(
% 0.20/0.40 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.40 fof(f46,plain,(
% 0.20/0.40 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.40 fof(f47,plain,(
% 0.20/0.40 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.40 fof(f48,plain,(
% 0.20/0.40 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.40 fof(f49,plain,(
% 0.20/0.40 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c6,sk_c8)=sk_c9),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.40 fof(f50,plain,(
% 0.20/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.40 fof(f51,plain,(
% 0.20/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f11])).
% 0.20/0.40 fof(f52,plain,(
% 0.20/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c8)=sk_c7),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.40 fof(f53,plain,(
% 0.20/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f13])).
% 0.20/0.40 fof(f54,plain,(
% 0.20/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.40 fof(f55,plain,(
% 0.20/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c8)=sk_c9),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f15])).
% 0.20/0.40 fof(f56,plain,(
% 0.20/0.40 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c4,sk_c9)=sk_c8),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.40 fof(f57,plain,(
% 0.20/0.40 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c4)=sk_c9),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.40 fof(f58,plain,(
% 0.20/0.40 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c7),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f18])).
% 0.20/0.40 fof(f59,plain,(
% 0.20/0.40 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.40 fof(f60,plain,(
% 0.20/0.40 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c6)=sk_c9),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.40 fof(f61,plain,(
% 0.20/0.40 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c6,sk_c8)=sk_c9),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f21])).
% 0.20/0.40 fof(f62,plain,(
% 0.20/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.20/0.40 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.41 fof(f63,plain,(
% 0.20/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.41 fof(f64,plain,(
% 0.20/0.41 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f24])).
% 0.20/0.41 fof(f65,plain,(
% 0.20/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f25])).
% 0.20/0.41 fof(f66,plain,(
% 0.20/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.41 fof(f67,plain,(
% 0.20/0.41 inverse(sk_c2)=sk_c8|multiply(sk_c6,sk_c8)=sk_c9),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f27])).
% 0.20/0.41 fof(f68,plain,(
% 0.20/0.41 inverse(sk_c3)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f28])).
% 0.20/0.41 fof(f69,plain,(
% 0.20/0.41 inverse(sk_c3)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f29])).
% 0.20/0.41 fof(f70,plain,(
% 0.20/0.41 inverse(sk_c3)=sk_c9|multiply(sk_c5,sk_c8)=sk_c7),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f30])).
% 0.20/0.41 fof(f71,plain,(
% 0.20/0.41 inverse(sk_c3)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f31])).
% 0.20/0.41 fof(f72,plain,(
% 0.20/0.41 inverse(sk_c3)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f32])).
% 0.20/0.41 fof(f73,plain,(
% 0.20/0.41 inverse(sk_c3)=sk_c9|multiply(sk_c6,sk_c8)=sk_c9),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f33])).
% 0.20/0.41 fof(f74,plain,(
% 0.20/0.41 multiply(sk_c3,sk_c7)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f34])).
% 0.20/0.41 fof(f75,plain,(
% 0.20/0.41 multiply(sk_c3,sk_c7)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f35])).
% 0.20/0.41 fof(f76,plain,(
% 0.20/0.41 multiply(sk_c3,sk_c7)=sk_c9|multiply(sk_c5,sk_c8)=sk_c7),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f36])).
% 0.20/0.41 fof(f77,plain,(
% 0.20/0.41 multiply(sk_c3,sk_c7)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f37])).
% 0.20/0.41 fof(f78,plain,(
% 0.20/0.41 multiply(sk_c3,sk_c7)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f38])).
% 0.20/0.41 fof(f79,plain,(
% 0.20/0.41 multiply(sk_c3,sk_c7)=sk_c9|multiply(sk_c6,sk_c8)=sk_c9),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f39])).
% 0.20/0.41 fof(f80,plain,(
% 0.20/0.41 ![X3]: (((![X2]: (((![X1]: (((![X6]: (((![X5]: (((![X4]: (~multiply(X4,sk_c9)=sk_c8|~inverse(X4)=sk_c9))|~multiply(X5,sk_c8)=sk_c7)|~inverse(X5)=sk_c8))|~inverse(X6)=sk_c9)|~multiply(X6,sk_c7)=sk_c9))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(X2,sk_c8)=sk_c7)|~inverse(X2)=sk_c8))|~inverse(X3)=sk_c9)|~multiply(X3,sk_c8)=sk_c9)),
% 0.20/0.41 inference(miniscoping,[status(esa)],[f40])).
% 0.20/0.41 fof(f81,plain,(
% 0.20/0.41 ![X0,X1,X2,X3,X4,X5]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8|~inverse(X2)=sk_c9|~multiply(X2,sk_c7)=sk_c9|~multiply(X3,sk_c9)=sk_c8|~inverse(X3)=sk_c9|~multiply(X4,sk_c8)=sk_c7|~inverse(X4)=sk_c8|~inverse(X5)=sk_c9|~multiply(X5,sk_c8)=sk_c9)),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f80])).
% 0.20/0.41 fof(f82,plain,(
% 0.20/0.41 spl0_0 <=> multiply(sk_c1,sk_c9)=sk_c8),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f83,plain,(
% 0.20/0.41 multiply(sk_c1,sk_c9)=sk_c8|~spl0_0),
% 0.20/0.41 inference(component_clause,[status(thm)],[f82])).
% 0.20/0.41 fof(f85,plain,(
% 0.20/0.41 spl0_1 <=> multiply(sk_c4,sk_c9)=sk_c8),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f86,plain,(
% 0.20/0.41 multiply(sk_c4,sk_c9)=sk_c8|~spl0_1),
% 0.20/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.20/0.41 fof(f88,plain,(
% 0.20/0.41 spl0_0|spl0_1),
% 0.20/0.41 inference(split_clause,[status(thm)],[f44,f82,f85])).
% 0.20/0.41 fof(f89,plain,(
% 0.20/0.41 spl0_2 <=> inverse(sk_c4)=sk_c9),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f90,plain,(
% 0.20/0.41 inverse(sk_c4)=sk_c9|~spl0_2),
% 0.20/0.41 inference(component_clause,[status(thm)],[f89])).
% 0.20/0.41 fof(f92,plain,(
% 0.20/0.41 spl0_0|spl0_2),
% 0.20/0.41 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.20/0.41 fof(f93,plain,(
% 0.20/0.41 spl0_3 <=> multiply(sk_c5,sk_c8)=sk_c7),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f94,plain,(
% 0.20/0.41 multiply(sk_c5,sk_c8)=sk_c7|~spl0_3),
% 0.20/0.41 inference(component_clause,[status(thm)],[f93])).
% 0.20/0.41 fof(f96,plain,(
% 0.20/0.41 spl0_0|spl0_3),
% 0.20/0.41 inference(split_clause,[status(thm)],[f46,f82,f93])).
% 0.20/0.41 fof(f97,plain,(
% 0.20/0.41 spl0_4 <=> inverse(sk_c5)=sk_c8),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f98,plain,(
% 0.20/0.41 inverse(sk_c5)=sk_c8|~spl0_4),
% 0.20/0.41 inference(component_clause,[status(thm)],[f97])).
% 0.20/0.41 fof(f100,plain,(
% 0.20/0.41 spl0_0|spl0_4),
% 0.20/0.41 inference(split_clause,[status(thm)],[f47,f82,f97])).
% 0.20/0.41 fof(f101,plain,(
% 0.20/0.41 spl0_5 <=> inverse(sk_c6)=sk_c9),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f102,plain,(
% 0.20/0.41 inverse(sk_c6)=sk_c9|~spl0_5),
% 0.20/0.41 inference(component_clause,[status(thm)],[f101])).
% 0.20/0.41 fof(f104,plain,(
% 0.20/0.41 spl0_0|spl0_5),
% 0.20/0.41 inference(split_clause,[status(thm)],[f48,f82,f101])).
% 0.20/0.41 fof(f105,plain,(
% 0.20/0.41 spl0_6 <=> multiply(sk_c6,sk_c8)=sk_c9),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f106,plain,(
% 0.20/0.41 multiply(sk_c6,sk_c8)=sk_c9|~spl0_6),
% 0.20/0.41 inference(component_clause,[status(thm)],[f105])).
% 0.20/0.41 fof(f108,plain,(
% 0.20/0.41 spl0_0|spl0_6),
% 0.20/0.41 inference(split_clause,[status(thm)],[f49,f82,f105])).
% 0.20/0.41 fof(f109,plain,(
% 0.20/0.41 spl0_7 <=> inverse(sk_c1)=sk_c9),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f110,plain,(
% 0.20/0.41 inverse(sk_c1)=sk_c9|~spl0_7),
% 0.20/0.41 inference(component_clause,[status(thm)],[f109])).
% 0.20/0.41 fof(f112,plain,(
% 0.20/0.41 spl0_7|spl0_1),
% 0.20/0.41 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.20/0.41 fof(f113,plain,(
% 0.20/0.41 spl0_7|spl0_2),
% 0.20/0.41 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.20/0.41 fof(f114,plain,(
% 0.20/0.41 spl0_7|spl0_3),
% 0.20/0.41 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.20/0.41 fof(f115,plain,(
% 0.20/0.41 spl0_7|spl0_4),
% 0.20/0.41 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.20/0.41 fof(f116,plain,(
% 0.20/0.41 spl0_7|spl0_5),
% 0.20/0.41 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.20/0.41 fof(f117,plain,(
% 0.20/0.41 spl0_7|spl0_6),
% 0.20/0.41 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.20/0.41 fof(f118,plain,(
% 0.20/0.41 spl0_8 <=> multiply(sk_c2,sk_c8)=sk_c7),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f119,plain,(
% 0.20/0.41 multiply(sk_c2,sk_c8)=sk_c7|~spl0_8),
% 0.20/0.41 inference(component_clause,[status(thm)],[f118])).
% 0.20/0.41 fof(f121,plain,(
% 0.20/0.41 spl0_8|spl0_1),
% 0.20/0.41 inference(split_clause,[status(thm)],[f56,f118,f85])).
% 0.20/0.41 fof(f122,plain,(
% 0.20/0.41 spl0_8|spl0_2),
% 0.20/0.41 inference(split_clause,[status(thm)],[f57,f118,f89])).
% 0.20/0.41 fof(f123,plain,(
% 0.20/0.41 spl0_8|spl0_3),
% 0.20/0.41 inference(split_clause,[status(thm)],[f58,f118,f93])).
% 0.20/0.41 fof(f124,plain,(
% 0.20/0.41 spl0_8|spl0_4),
% 0.20/0.41 inference(split_clause,[status(thm)],[f59,f118,f97])).
% 0.20/0.41 fof(f125,plain,(
% 0.20/0.41 spl0_8|spl0_5),
% 0.20/0.41 inference(split_clause,[status(thm)],[f60,f118,f101])).
% 0.20/0.41 fof(f126,plain,(
% 0.20/0.41 spl0_8|spl0_6),
% 0.20/0.41 inference(split_clause,[status(thm)],[f61,f118,f105])).
% 0.20/0.41 fof(f127,plain,(
% 0.20/0.41 spl0_9 <=> inverse(sk_c2)=sk_c8),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f128,plain,(
% 0.20/0.41 inverse(sk_c2)=sk_c8|~spl0_9),
% 0.20/0.41 inference(component_clause,[status(thm)],[f127])).
% 0.20/0.41 fof(f130,plain,(
% 0.20/0.41 spl0_9|spl0_1),
% 0.20/0.41 inference(split_clause,[status(thm)],[f62,f127,f85])).
% 0.20/0.41 fof(f131,plain,(
% 0.20/0.41 spl0_9|spl0_2),
% 0.20/0.41 inference(split_clause,[status(thm)],[f63,f127,f89])).
% 0.20/0.41 fof(f132,plain,(
% 0.20/0.41 spl0_9|spl0_3),
% 0.20/0.41 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.20/0.41 fof(f133,plain,(
% 0.20/0.41 spl0_9|spl0_4),
% 0.20/0.41 inference(split_clause,[status(thm)],[f65,f127,f97])).
% 0.20/0.41 fof(f134,plain,(
% 0.20/0.41 spl0_9|spl0_5),
% 0.20/0.41 inference(split_clause,[status(thm)],[f66,f127,f101])).
% 0.20/0.41 fof(f135,plain,(
% 0.20/0.41 spl0_9|spl0_6),
% 0.20/0.41 inference(split_clause,[status(thm)],[f67,f127,f105])).
% 0.20/0.41 fof(f136,plain,(
% 0.20/0.41 spl0_10 <=> inverse(sk_c3)=sk_c9),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f137,plain,(
% 0.20/0.41 inverse(sk_c3)=sk_c9|~spl0_10),
% 0.20/0.41 inference(component_clause,[status(thm)],[f136])).
% 0.20/0.41 fof(f139,plain,(
% 0.20/0.41 spl0_10|spl0_1),
% 0.20/0.41 inference(split_clause,[status(thm)],[f68,f136,f85])).
% 0.20/0.41 fof(f140,plain,(
% 0.20/0.41 spl0_10|spl0_2),
% 0.20/0.41 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.20/0.41 fof(f141,plain,(
% 0.20/0.41 spl0_10|spl0_3),
% 0.20/0.41 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.20/0.41 fof(f142,plain,(
% 0.20/0.41 spl0_10|spl0_4),
% 0.20/0.41 inference(split_clause,[status(thm)],[f71,f136,f97])).
% 0.20/0.41 fof(f143,plain,(
% 0.20/0.41 spl0_10|spl0_5),
% 0.20/0.41 inference(split_clause,[status(thm)],[f72,f136,f101])).
% 0.20/0.41 fof(f144,plain,(
% 0.20/0.41 spl0_10|spl0_6),
% 0.20/0.41 inference(split_clause,[status(thm)],[f73,f136,f105])).
% 0.20/0.41 fof(f145,plain,(
% 0.20/0.41 spl0_11 <=> multiply(sk_c3,sk_c7)=sk_c9),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f146,plain,(
% 0.20/0.41 multiply(sk_c3,sk_c7)=sk_c9|~spl0_11),
% 0.20/0.41 inference(component_clause,[status(thm)],[f145])).
% 0.20/0.41 fof(f148,plain,(
% 0.20/0.41 spl0_11|spl0_1),
% 0.20/0.41 inference(split_clause,[status(thm)],[f74,f145,f85])).
% 0.20/0.41 fof(f149,plain,(
% 0.20/0.41 spl0_11|spl0_2),
% 0.20/0.41 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.20/0.41 fof(f150,plain,(
% 0.20/0.41 spl0_11|spl0_3),
% 0.20/0.41 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.20/0.41 fof(f151,plain,(
% 0.20/0.41 spl0_11|spl0_4),
% 0.20/0.41 inference(split_clause,[status(thm)],[f77,f145,f97])).
% 0.20/0.41 fof(f152,plain,(
% 0.20/0.41 spl0_11|spl0_5),
% 0.20/0.41 inference(split_clause,[status(thm)],[f78,f145,f101])).
% 0.20/0.41 fof(f153,plain,(
% 0.20/0.41 spl0_11|spl0_6),
% 0.20/0.41 inference(split_clause,[status(thm)],[f79,f145,f105])).
% 0.20/0.41 fof(f154,plain,(
% 0.20/0.41 spl0_12 <=> ~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f155,plain,(
% 0.20/0.41 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~spl0_12)),
% 0.20/0.41 inference(component_clause,[status(thm)],[f154])).
% 0.20/0.41 fof(f157,plain,(
% 0.20/0.41 spl0_13 <=> ~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f158,plain,(
% 0.20/0.41 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_13)),
% 0.20/0.41 inference(component_clause,[status(thm)],[f157])).
% 0.20/0.41 fof(f160,plain,(
% 0.20/0.41 spl0_14 <=> ~inverse(X2)=sk_c9|~multiply(X2,sk_c7)=sk_c9),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f161,plain,(
% 0.20/0.41 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c7)=sk_c9|~spl0_14)),
% 0.20/0.41 inference(component_clause,[status(thm)],[f160])).
% 0.20/0.41 fof(f163,plain,(
% 0.20/0.41 spl0_15 <=> ~inverse(X5)=sk_c9|~multiply(X5,sk_c8)=sk_c9),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f164,plain,(
% 0.20/0.41 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~spl0_15)),
% 0.20/0.41 inference(component_clause,[status(thm)],[f163])).
% 0.20/0.41 fof(f166,plain,(
% 0.20/0.41 spl0_12|spl0_13|spl0_14|spl0_15),
% 0.20/0.41 inference(split_clause,[status(thm)],[f81,f154,f157,f160,f163])).
% 0.20/0.41 fof(f171,plain,(
% 0.20/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.20/0.41 fof(f172,plain,(
% 0.20/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f41,f171])).
% 0.20/0.41 fof(f173,plain,(
% 0.20/0.41 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f172,f172])).
% 0.20/0.41 fof(f174,plain,(
% 0.20/0.41 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f42,f172])).
% 0.20/0.41 fof(f184,plain,(
% 0.20/0.41 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f42,f173])).
% 0.20/0.41 fof(f193,plain,(
% 0.20/0.41 inverse(identity)=identity),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f41,f184])).
% 0.20/0.41 fof(f212,plain,(
% 0.20/0.41 ![X0]: (X0=multiply(X0,identity))),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f173,f174])).
% 0.20/0.41 fof(f213,plain,(
% 0.20/0.41 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f173,f212])).
% 0.20/0.41 fof(f214,plain,(
% 0.20/0.41 ![X0]: (inverse(inverse(X0))=X0)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f212,f213])).
% 0.20/0.41 fof(f639,plain,(
% 0.20/0.41 inverse(sk_c9)=sk_c3|~spl0_10),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f137,f214])).
% 0.20/0.41 fof(f640,plain,(
% 0.20/0.41 multiply(sk_c3,sk_c9)=identity|~spl0_10),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f137,f184])).
% 0.20/0.41 fof(f644,plain,(
% 0.20/0.41 inverse(sk_c8)=sk_c2|~spl0_9),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f128,f214])).
% 0.20/0.41 fof(f649,plain,(
% 0.20/0.41 inverse(sk_c9)=sk_c1|~spl0_7),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f110,f214])).
% 0.20/0.41 fof(f654,plain,(
% 0.20/0.41 inverse(sk_c9)=sk_c6|~spl0_5),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f102,f214])).
% 0.20/0.41 fof(f659,plain,(
% 0.20/0.41 inverse(sk_c8)=sk_c5|~spl0_4),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f98,f214])).
% 0.20/0.41 fof(f674,plain,(
% 0.20/0.41 inverse(sk_c9)=sk_c4|~spl0_2),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f90,f214])).
% 0.20/0.41 fof(f688,plain,(
% 0.20/0.41 sk_c3=sk_c1|~spl0_10|~spl0_7),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f639,f649])).
% 0.20/0.41 fof(f689,plain,(
% 0.20/0.41 inverse(sk_c9)=sk_c1|~spl0_7|~spl0_10),
% 0.20/0.41 inference(backward_demodulation,[status(thm)],[f688,f639])).
% 0.20/0.41 fof(f690,plain,(
% 0.20/0.41 multiply(sk_c1,sk_c7)=sk_c9|~spl0_10|~spl0_7|~spl0_11),
% 0.20/0.41 inference(backward_demodulation,[status(thm)],[f688,f146])).
% 0.20/0.41 fof(f700,plain,(
% 0.20/0.41 sk_c6=sk_c4|~spl0_5|~spl0_2),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f654,f674])).
% 0.20/0.41 fof(f701,plain,(
% 0.20/0.41 inverse(sk_c9)=sk_c4|~spl0_2|~spl0_5),
% 0.20/0.41 inference(backward_demodulation,[status(thm)],[f700,f654])).
% 0.20/0.41 fof(f713,plain,(
% 0.20/0.41 sk_c1=sk_c4|~spl0_7|~spl0_10|~spl0_2|~spl0_5),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f689,f701])).
% 0.20/0.41 fof(f714,plain,(
% 0.20/0.41 sk_c6=sk_c1|~spl0_7|~spl0_10|~spl0_5|~spl0_2),
% 0.20/0.41 inference(backward_demodulation,[status(thm)],[f713,f700])).
% 0.20/0.41 fof(f742,plain,(
% 0.20/0.41 multiply(sk_c1,sk_c8)=sk_c9|~spl0_7|~spl0_10|~spl0_5|~spl0_2|~spl0_6),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f714,f106])).
% 0.20/0.41 fof(f758,plain,(
% 0.20/0.41 multiply(sk_c1,sk_c9)=identity|~spl0_7|~spl0_10),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f688,f640])).
% 0.20/0.41 fof(f759,plain,(
% 0.20/0.41 sk_c8=identity|~spl0_0|~spl0_7|~spl0_10),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f83,f758])).
% 0.20/0.41 fof(f759,plain,(
% 0.20/0.41 sk_c8=identity|~spl0_0|~spl0_7|~spl0_10),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f83,f758])).
% 0.20/0.41 fof(f760,plain,(
% 0.20/0.41 multiply(sk_c1,identity)=sk_c9|~spl0_0|~spl0_7|~spl0_10|~spl0_5|~spl0_2|~spl0_6),
% 0.20/0.41 inference(backward_demodulation,[status(thm)],[f759,f742])).
% 0.20/0.41 fof(f761,plain,(
% 0.20/0.41 sk_c1=sk_c9|~spl0_0|~spl0_7|~spl0_10|~spl0_5|~spl0_2|~spl0_6),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f212,f760])).
% 0.20/0.41 fof(f768,plain,(
% 0.20/0.41 inverse(sk_c1)=sk_c1|~spl0_0|~spl0_5|~spl0_2|~spl0_6|~spl0_7|~spl0_10),
% 0.20/0.41 inference(backward_demodulation,[status(thm)],[f761,f689])).
% 0.20/0.41 fof(f803,plain,(
% 0.20/0.41 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,sk_c8)=sk_c9|~spl0_0|~spl0_7|~spl0_10|~spl0_5|~spl0_2|~spl0_6|~spl0_15)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f761,f164])).
% 0.20/0.41 fof(f804,plain,(
% 0.20/0.41 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,identity)=sk_c9|~spl0_0|~spl0_7|~spl0_10|~spl0_5|~spl0_2|~spl0_6|~spl0_15)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f759,f803])).
% 0.20/0.41 fof(f805,plain,(
% 0.20/0.41 ![X0]: (~inverse(X0)=sk_c1|~X0=sk_c9|~spl0_0|~spl0_7|~spl0_10|~spl0_5|~spl0_2|~spl0_6|~spl0_15)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f212,f804])).
% 0.20/0.41 fof(f806,plain,(
% 0.20/0.41 ![X0]: (~inverse(X0)=sk_c1|~X0=sk_c1|~spl0_0|~spl0_7|~spl0_10|~spl0_5|~spl0_2|~spl0_6|~spl0_15)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f761,f805])).
% 0.20/0.41 fof(f807,plain,(
% 0.20/0.41 ~inverse(sk_c1)=sk_c1|~spl0_0|~spl0_7|~spl0_10|~spl0_5|~spl0_2|~spl0_6|~spl0_15),
% 0.20/0.41 inference(destructive_equality_resolution,[status(esa)],[f806])).
% 0.20/0.41 fof(f808,plain,(
% 0.20/0.41 $false|~spl0_0|~spl0_7|~spl0_10|~spl0_5|~spl0_2|~spl0_6|~spl0_15),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f807,f768])).
% 0.20/0.41 fof(f809,plain,(
% 0.20/0.41 ~spl0_0|~spl0_7|~spl0_10|~spl0_5|~spl0_2|~spl0_6|~spl0_15),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f808])).
% 0.20/0.41 fof(f813,plain,(
% 0.20/0.41 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c8|~spl0_0|~spl0_7|~spl0_10|~spl0_13)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f759,f158])).
% 0.20/0.41 fof(f814,plain,(
% 0.20/0.41 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c8|~spl0_0|~spl0_7|~spl0_10|~spl0_13)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f212,f813])).
% 0.20/0.41 fof(f824,plain,(
% 0.20/0.41 spl0_16 <=> identity=sk_c8),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f826,plain,(
% 0.20/0.41 ~identity=sk_c8|spl0_16),
% 0.20/0.41 inference(component_clause,[status(thm)],[f824])).
% 0.20/0.41 fof(f827,plain,(
% 0.20/0.41 spl0_17 <=> inverse(inverse(sk_c9))=sk_c9),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f829,plain,(
% 0.20/0.41 ~inverse(inverse(sk_c9))=sk_c9|spl0_17),
% 0.20/0.41 inference(component_clause,[status(thm)],[f827])).
% 0.20/0.41 fof(f830,plain,(
% 0.20/0.41 ~identity=sk_c8|~inverse(inverse(sk_c9))=sk_c9|~spl0_12),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f42,f155])).
% 0.20/0.41 fof(f831,plain,(
% 0.20/0.41 ~spl0_16|~spl0_17|~spl0_12),
% 0.20/0.41 inference(split_clause,[status(thm)],[f830,f824,f827,f154])).
% 0.20/0.41 fof(f835,plain,(
% 0.20/0.41 spl0_19 <=> inverse(identity)=sk_c9),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f842,plain,(
% 0.20/0.41 ~sk_c9=sk_c9|spl0_17),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f214,f829])).
% 0.20/0.41 fof(f843,plain,(
% 0.20/0.41 $false|spl0_17),
% 0.20/0.41 inference(trivial_equality_resolution,[status(esa)],[f842])).
% 0.20/0.41 fof(f844,plain,(
% 0.20/0.41 spl0_17),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f843])).
% 0.20/0.41 fof(f1615,plain,(
% 0.20/0.41 multiply(sk_c4,sk_c8)=sk_c9|~spl0_5|~spl0_2|~spl0_6),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f700,f106])).
% 0.20/0.41 fof(f1628,plain,(
% 0.20/0.41 inverse(sk_c9)=sk_c4|~spl0_2),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f90,f214])).
% 0.20/0.41 fof(f1629,plain,(
% 0.20/0.41 multiply(sk_c4,sk_c9)=identity|~spl0_2),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f90,f184])).
% 0.20/0.41 fof(f1630,plain,(
% 0.20/0.41 sk_c8=identity|~spl0_1|~spl0_2),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f86,f1629])).
% 0.20/0.41 fof(f1631,plain,(
% 0.20/0.41 $false|spl0_16|~spl0_1|~spl0_2),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1630,f826])).
% 0.20/0.41 fof(f1632,plain,(
% 0.20/0.41 spl0_16|~spl0_1|~spl0_2),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f1631])).
% 0.20/0.41 fof(f1634,plain,(
% 0.20/0.41 inverse(sk_c9)=sk_c1|~spl0_7|~spl0_10),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f688,f639])).
% 0.20/0.41 fof(f1644,plain,(
% 0.20/0.41 inverse(sk_c1)=sk_c9|~spl0_7|~spl0_10),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f688,f137])).
% 0.20/0.41 fof(f1654,plain,(
% 0.20/0.41 inverse(identity)=sk_c2|~spl0_0|~spl0_7|~spl0_10|~spl0_9),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f759,f644])).
% 0.20/0.41 fof(f1655,plain,(
% 0.20/0.41 identity=sk_c2|~spl0_0|~spl0_7|~spl0_10|~spl0_9),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f193,f1654])).
% 0.20/0.41 fof(f1661,plain,(
% 0.20/0.41 spl0_20 <=> inverse(inverse(sk_c7))=sk_c9),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f1664,plain,(
% 0.20/0.41 spl0_21 <=> identity=sk_c9),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f1667,plain,(
% 0.20/0.41 ~inverse(inverse(sk_c7))=sk_c9|~identity=sk_c9|~spl0_14),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f42,f161])).
% 0.20/0.41 fof(f1668,plain,(
% 0.20/0.41 ~spl0_20|~spl0_21|~spl0_14),
% 0.20/0.41 inference(split_clause,[status(thm)],[f1667,f1661,f1664,f160])).
% 0.20/0.41 fof(f1669,plain,(
% 0.20/0.41 spl0_22 <=> sk_c7=sk_c9),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f1672,plain,(
% 0.20/0.41 ~inverse(identity)=sk_c9|~sk_c7=sk_c9|~spl0_14),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f41,f161])).
% 0.20/0.41 fof(f1673,plain,(
% 0.20/0.41 ~spl0_19|~spl0_22|~spl0_14),
% 0.20/0.41 inference(split_clause,[status(thm)],[f1672,f835,f1669,f160])).
% 0.20/0.41 fof(f1676,plain,(
% 0.20/0.41 ![X0]: (~X0=sk_c7|~inverse(X0)=identity|~spl0_0|~spl0_7|~spl0_10|~spl0_13)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f759,f814])).
% 0.20/0.41 fof(f1677,plain,(
% 0.20/0.41 ~inverse(sk_c7)=identity|~spl0_0|~spl0_7|~spl0_10|~spl0_13),
% 0.20/0.41 inference(destructive_equality_resolution,[status(esa)],[f1676])).
% 0.20/0.41 fof(f1761,plain,(
% 0.20/0.41 multiply(identity,sk_c8)=sk_c7|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_8),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f1655,f119])).
% 0.20/0.41 fof(f1762,plain,(
% 0.20/0.41 sk_c8=sk_c7|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_8),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f41,f1761])).
% 0.20/0.41 fof(f1763,plain,(
% 0.20/0.41 identity=sk_c7|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_8),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f759,f1762])).
% 0.20/0.41 fof(f2410,plain,(
% 0.20/0.41 ~inverse(identity)=identity|~spl0_9|~spl0_8|~spl0_0|~spl0_7|~spl0_10|~spl0_13),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f1763,f1677])).
% 0.20/0.41 fof(f2411,plain,(
% 0.20/0.41 ~identity=identity|~spl0_9|~spl0_8|~spl0_0|~spl0_7|~spl0_10|~spl0_13),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f193,f2410])).
% 0.20/0.41 fof(f2412,plain,(
% 0.20/0.41 $false|~spl0_9|~spl0_8|~spl0_0|~spl0_7|~spl0_10|~spl0_13),
% 0.20/0.41 inference(trivial_equality_resolution,[status(esa)],[f2411])).
% 0.20/0.41 fof(f2413,plain,(
% 0.20/0.41 ~spl0_9|~spl0_8|~spl0_0|~spl0_7|~spl0_10|~spl0_13),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f2412])).
% 0.20/0.41 fof(f2415,plain,(
% 0.20/0.41 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,identity)=sk_c9|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_8|~spl0_14)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f1763,f161])).
% 0.20/0.41 fof(f2416,plain,(
% 0.20/0.41 ![X0]: (~inverse(X0)=sk_c9|~X0=sk_c9|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_8|~spl0_14)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f212,f2415])).
% 0.20/0.41 fof(f2417,plain,(
% 0.20/0.41 ~inverse(sk_c9)=sk_c9|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_8|~spl0_14),
% 0.20/0.41 inference(destructive_equality_resolution,[status(esa)],[f2416])).
% 0.20/0.41 fof(f2480,plain,(
% 0.20/0.41 multiply(sk_c1,identity)=sk_c9|~spl0_0|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_11),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f1763,f690])).
% 0.20/0.41 fof(f2481,plain,(
% 0.20/0.41 sk_c1=sk_c9|~spl0_0|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_11),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f212,f2480])).
% 0.20/0.41 fof(f2485,plain,(
% 0.20/0.41 inverse(sk_c1)=sk_c1|~spl0_0|~spl0_9|~spl0_8|~spl0_11|~spl0_7|~spl0_10),
% 0.20/0.41 inference(backward_demodulation,[status(thm)],[f2481,f1644])).
% 0.20/0.41 fof(f2486,plain,(
% 0.20/0.41 inverse(sk_c1)=sk_c1|~spl0_0|~spl0_9|~spl0_8|~spl0_11|~spl0_7|~spl0_10),
% 0.20/0.41 inference(backward_demodulation,[status(thm)],[f2481,f1634])).
% 0.20/0.41 fof(f2491,plain,(
% 0.20/0.41 ~inverse(sk_c1)=sk_c9|~spl0_11|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_8|~spl0_14),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f2481,f2417])).
% 0.20/0.41 fof(f2492,plain,(
% 0.20/0.41 ~inverse(sk_c1)=sk_c1|~spl0_11|~spl0_0|~spl0_7|~spl0_10|~spl0_9|~spl0_8|~spl0_14),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f2481,f2491])).
% 0.20/0.41 fof(f2495,plain,(
% 0.20/0.41 $false|~spl0_14|~spl0_0|~spl0_9|~spl0_8|~spl0_11|~spl0_7|~spl0_10),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f2485,f2492])).
% 0.20/0.41 fof(f2496,plain,(
% 0.20/0.41 ~spl0_14|~spl0_0|~spl0_9|~spl0_8|~spl0_11|~spl0_7|~spl0_10),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f2495])).
% 0.20/0.41 fof(f2497,plain,(
% 0.20/0.41 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,sk_c8)=sk_c9|~spl0_0|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_11|~spl0_15)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f2481,f164])).
% 0.20/0.41 fof(f2498,plain,(
% 0.20/0.41 ![X0]: (~inverse(X0)=sk_c1|~multiply(X0,identity)=sk_c9|~spl0_0|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_11|~spl0_15)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f759,f2497])).
% 0.20/0.41 fof(f2499,plain,(
% 0.20/0.41 ![X0]: (~inverse(X0)=sk_c1|~X0=sk_c9|~spl0_0|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_11|~spl0_15)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f212,f2498])).
% 0.20/0.41 fof(f2500,plain,(
% 0.20/0.41 ![X0]: (~inverse(X0)=sk_c1|~X0=sk_c1|~spl0_0|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_11|~spl0_15)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f2481,f2499])).
% 0.20/0.41 fof(f2501,plain,(
% 0.20/0.41 ~inverse(sk_c1)=sk_c1|~spl0_0|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_11|~spl0_15),
% 0.20/0.41 inference(destructive_equality_resolution,[status(esa)],[f2500])).
% 0.20/0.41 fof(f2511,plain,(
% 0.20/0.41 ~sk_c1=sk_c1|~spl0_0|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_11|~spl0_15),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f2486,f2501])).
% 0.20/0.41 fof(f2512,plain,(
% 0.20/0.41 $false|~spl0_0|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_11|~spl0_15),
% 0.20/0.41 inference(trivial_equality_resolution,[status(esa)],[f2511])).
% 0.20/0.41 fof(f2513,plain,(
% 0.20/0.41 ~spl0_0|~spl0_9|~spl0_8|~spl0_10|~spl0_7|~spl0_11|~spl0_15),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f2512])).
% 0.20/0.41 fof(f2557,plain,(
% 0.20/0.41 multiply(sk_c5,identity)=sk_c7|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f1630,f94])).
% 0.20/0.41 fof(f2558,plain,(
% 0.20/0.41 sk_c5=sk_c7|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f212,f2557])).
% 0.20/0.41 fof(f2581,plain,(
% 0.20/0.41 multiply(sk_c4,identity)=sk_c9|~spl0_1|~spl0_5|~spl0_2|~spl0_6),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f1630,f1615])).
% 0.20/0.41 fof(f2582,plain,(
% 0.20/0.41 sk_c4=sk_c9|~spl0_1|~spl0_5|~spl0_2|~spl0_6),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f212,f2581])).
% 0.20/0.41 fof(f2909,plain,(
% 0.20/0.41 inverse(sk_c9)=sk_c9|~spl0_1|~spl0_5|~spl0_6|~spl0_2),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f2582,f1628])).
% 0.20/0.41 fof(f2922,plain,(
% 0.20/0.41 inverse(identity)=sk_c5|~spl0_1|~spl0_2|~spl0_4),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f1630,f659])).
% 0.20/0.41 fof(f2923,plain,(
% 0.20/0.41 identity=sk_c5|~spl0_1|~spl0_2|~spl0_4),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f193,f2922])).
% 0.20/0.41 fof(f2924,plain,(
% 0.20/0.42 identity=sk_c7|~spl0_4|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.42 inference(backward_demodulation,[status(thm)],[f2923,f2558])).
% 0.20/0.42 fof(f2958,plain,(
% 0.20/0.42 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,identity)=sk_c9|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_14)),
% 0.20/0.42 inference(forward_demodulation,[status(thm)],[f2924,f161])).
% 0.20/0.42 fof(f2959,plain,(
% 0.20/0.42 ![X0]: (~inverse(X0)=sk_c9|~X0=sk_c9|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_14)),
% 0.20/0.42 inference(forward_demodulation,[status(thm)],[f212,f2958])).
% 0.20/0.42 fof(f2960,plain,(
% 0.20/0.42 ~inverse(sk_c9)=sk_c9|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_14),
% 0.20/0.42 inference(destructive_equality_resolution,[status(esa)],[f2959])).
% 0.20/0.42 fof(f2961,plain,(
% 0.20/0.42 $false|~spl0_5|~spl0_6|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_14),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f2960,f2909])).
% 0.20/0.42 fof(f2962,plain,(
% 0.20/0.42 ~spl0_5|~spl0_6|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_14),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f2961])).
% 0.20/0.42 fof(f2963,plain,(
% 0.20/0.42 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c8|~spl0_1|~spl0_2|~spl0_13)),
% 0.20/0.42 inference(forward_demodulation,[status(thm)],[f1630,f158])).
% 0.20/0.42 fof(f2964,plain,(
% 0.20/0.42 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c8|~spl0_1|~spl0_2|~spl0_13)),
% 0.20/0.42 inference(forward_demodulation,[status(thm)],[f212,f2963])).
% 0.20/0.42 fof(f2965,plain,(
% 0.20/0.42 ![X0]: (~X0=identity|~inverse(X0)=sk_c8|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_13)),
% 0.20/0.42 inference(forward_demodulation,[status(thm)],[f2924,f2964])).
% 0.20/0.42 fof(f2966,plain,(
% 0.20/0.42 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_13)),
% 0.20/0.42 inference(forward_demodulation,[status(thm)],[f1630,f2965])).
% 0.20/0.42 fof(f2967,plain,(
% 0.20/0.42 ~inverse(identity)=identity|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_13),
% 0.20/0.42 inference(destructive_equality_resolution,[status(esa)],[f2966])).
% 0.20/0.42 fof(f2968,plain,(
% 0.20/0.42 $false|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_13),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f2967,f193])).
% 0.20/0.42 fof(f2969,plain,(
% 0.20/0.42 ~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_13),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f2968])).
% 0.20/0.42 fof(f2970,plain,(
% 0.20/0.42 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,identity)=sk_c9|~spl0_1|~spl0_2|~spl0_15)),
% 0.20/0.42 inference(forward_demodulation,[status(thm)],[f1630,f164])).
% 0.20/0.42 fof(f2971,plain,(
% 0.20/0.42 ![X0]: (~inverse(X0)=sk_c9|~X0=sk_c9|~spl0_1|~spl0_2|~spl0_15)),
% 0.20/0.42 inference(forward_demodulation,[status(thm)],[f212,f2970])).
% 0.20/0.42 fof(f2972,plain,(
% 0.20/0.42 ~inverse(sk_c9)=sk_c9|~spl0_1|~spl0_2|~spl0_15),
% 0.20/0.42 inference(destructive_equality_resolution,[status(esa)],[f2971])).
% 0.20/0.42 fof(f2973,plain,(
% 0.20/0.42 $false|~spl0_5|~spl0_6|~spl0_1|~spl0_2|~spl0_15),
% 0.20/0.42 inference(forward_subsumption_resolution,[status(thm)],[f2972,f2909])).
% 0.20/0.42 fof(f2974,plain,(
% 0.20/0.42 ~spl0_5|~spl0_6|~spl0_1|~spl0_2|~spl0_15),
% 0.20/0.42 inference(contradiction_clause,[status(thm)],[f2973])).
% 0.20/0.42 fof(f2975,plain,(
% 0.20/0.42 spl0_16|~spl0_0|~spl0_7|~spl0_10),
% 0.20/0.42 inference(split_clause,[status(thm)],[f759,f824,f82,f109,f136])).
% 0.20/0.42 fof(f2987,plain,(
% 0.20/0.42 $false),
% 0.20/0.42 inference(sat_refutation,[status(thm)],[f88,f92,f96,f100,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,f809,f831,f844,f1632,f1668,f1673,f2413,f2496,f2513,f2962,f2969,f2974,f2975])).
% 0.20/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.42 % Elapsed time: 0.077203 seconds
% 0.20/0.42 % CPU time: 0.461343 seconds
% 0.20/0.42 % Memory used: 44.427 MB
%------------------------------------------------------------------------------