TSTP Solution File: GRP241-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP241-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:11:05 EDT 2023
% Result : Unsatisfiable 0.14s 0.34s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : GRP241-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n022.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 11:26:12 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.14/0.34 % Refutation found
% 0.14/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.34 fof(f1,axiom,(
% 0.14/0.34 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f2,axiom,(
% 0.14/0.34 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f3,axiom,(
% 0.14/0.34 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f4,negated_conjecture,(
% 0.14/0.34 ( inverse(sk_c8) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f5,negated_conjecture,(
% 0.14/0.34 ( inverse(sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f6,negated_conjecture,(
% 0.14/0.34 ( inverse(sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f7,negated_conjecture,(
% 0.14/0.34 ( inverse(sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f8,negated_conjecture,(
% 0.14/0.34 ( inverse(sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f9,negated_conjecture,(
% 0.14/0.34 ( inverse(sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f10,negated_conjecture,(
% 0.14/0.34 ( inverse(sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f14,negated_conjecture,(
% 0.14/0.34 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f15,negated_conjecture,(
% 0.14/0.34 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f16,negated_conjecture,(
% 0.14/0.34 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f17,negated_conjecture,(
% 0.14/0.34 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f18,negated_conjecture,(
% 0.14/0.34 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f19,negated_conjecture,(
% 0.14/0.34 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f20,negated_conjecture,(
% 0.14/0.34 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f21,negated_conjecture,(
% 0.14/0.34 ( inverse(sk_c1) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f22,negated_conjecture,(
% 0.14/0.34 ( inverse(sk_c1) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f23,negated_conjecture,(
% 0.14/0.34 ( inverse(sk_c1) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f24,negated_conjecture,(
% 0.14/0.34 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f25,negated_conjecture,(
% 0.14/0.34 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f26,negated_conjecture,(
% 0.14/0.34 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f27,negated_conjecture,(
% 0.14/0.34 ( multiply(sk_c8,sk_c3) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f28,negated_conjecture,(
% 0.14/0.34 ( multiply(sk_c8,sk_c3) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f29,negated_conjecture,(
% 0.14/0.34 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f30,negated_conjecture,(
% 0.14/0.34 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f31,negated_conjecture,(
% 0.14/0.34 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f32,negated_conjecture,(
% 0.14/0.34 ( multiply(sk_c2,sk_c8) = sk_c3| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f33,negated_conjecture,(
% 0.14/0.34 ( multiply(sk_c2,sk_c8) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f34,negated_conjecture,(
% 0.14/0.34 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f35,negated_conjecture,(
% 0.14/0.34 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f36,negated_conjecture,(
% 0.14/0.34 ( inverse(sk_c2) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f37,negated_conjecture,(
% 0.14/0.34 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f38,negated_conjecture,(
% 0.14/0.34 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f39,negated_conjecture,(
% 0.14/0.34 (![X4,X5,X6,X1,X2,X3]: (( inverse(sk_c8) != sk_c7| inverse(sk_c7) != sk_c8| multiply(X4,sk_c7) != sk_c8| inverse(X4) != sk_c7| multiply(sk_c8,X5) != sk_c7| multiply(X6,sk_c8) != X5| inverse(X6) != sk_c8| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X3,sk_c8) != X2| inverse(X3) != sk_c8 ) ))),
% 0.14/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.34 fof(f40,plain,(
% 0.14/0.34 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.34 fof(f41,plain,(
% 0.14/0.34 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.34 fof(f42,plain,(
% 0.14/0.34 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.34 fof(f43,plain,(
% 0.14/0.34 inverse(sk_c8)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.34 fof(f44,plain,(
% 0.14/0.34 inverse(sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.34 fof(f45,plain,(
% 0.14/0.34 inverse(sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.34 fof(f46,plain,(
% 0.14/0.34 inverse(sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f7])).
% 0.14/0.34 fof(f47,plain,(
% 0.14/0.34 inverse(sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.34 fof(f48,plain,(
% 0.14/0.34 inverse(sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.34 fof(f49,plain,(
% 0.14/0.34 inverse(sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.34 fof(f53,plain,(
% 0.14/0.34 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f14])).
% 0.14/0.34 fof(f54,plain,(
% 0.14/0.34 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f15])).
% 0.14/0.34 fof(f55,plain,(
% 0.14/0.34 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f16])).
% 0.14/0.34 fof(f56,plain,(
% 0.14/0.34 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f17])).
% 0.14/0.34 fof(f57,plain,(
% 0.14/0.34 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f18])).
% 0.14/0.34 fof(f58,plain,(
% 0.14/0.34 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f19])).
% 0.14/0.34 fof(f59,plain,(
% 0.14/0.34 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f20])).
% 0.14/0.34 fof(f60,plain,(
% 0.14/0.34 inverse(sk_c1)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f21])).
% 0.14/0.34 fof(f61,plain,(
% 0.14/0.34 inverse(sk_c1)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f22])).
% 0.14/0.34 fof(f62,plain,(
% 0.14/0.34 inverse(sk_c1)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f23])).
% 0.14/0.34 fof(f63,plain,(
% 0.14/0.34 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f24])).
% 0.14/0.34 fof(f64,plain,(
% 0.14/0.34 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f25])).
% 0.14/0.34 fof(f65,plain,(
% 0.14/0.34 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f26])).
% 0.14/0.34 fof(f66,plain,(
% 0.14/0.34 multiply(sk_c8,sk_c3)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f27])).
% 0.14/0.34 fof(f67,plain,(
% 0.14/0.34 multiply(sk_c8,sk_c3)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f28])).
% 0.14/0.34 fof(f68,plain,(
% 0.14/0.34 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f29])).
% 0.14/0.34 fof(f69,plain,(
% 0.14/0.34 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f30])).
% 0.14/0.34 fof(f70,plain,(
% 0.14/0.34 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c8,sk_c6)=sk_c7),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f31])).
% 0.14/0.34 fof(f71,plain,(
% 0.14/0.34 multiply(sk_c2,sk_c8)=sk_c3|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f32])).
% 0.14/0.34 fof(f72,plain,(
% 0.14/0.34 multiply(sk_c2,sk_c8)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f33])).
% 0.14/0.34 fof(f73,plain,(
% 0.14/0.34 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f34])).
% 0.14/0.34 fof(f74,plain,(
% 0.14/0.34 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f35])).
% 0.14/0.34 fof(f75,plain,(
% 0.14/0.34 inverse(sk_c2)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f36])).
% 0.14/0.34 fof(f76,plain,(
% 0.14/0.34 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f37])).
% 0.14/0.34 fof(f77,plain,(
% 0.14/0.34 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f38])).
% 0.14/0.34 fof(f78,plain,(
% 0.14/0.34 ![X3]: ((![X2]: (((![X1]: (((![X6]: ((![X5]: (((![X4]: (((~inverse(sk_c8)=sk_c7|~inverse(sk_c7)=sk_c8)|~multiply(X4,sk_c7)=sk_c8)|~inverse(X4)=sk_c7))|~multiply(sk_c8,X5)=sk_c7)|~multiply(X6,sk_c8)=X5))|~inverse(X6)=sk_c8))|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X3,sk_c8)=X2))|~inverse(X3)=sk_c8)),
% 0.14/0.34 inference(miniscoping,[status(esa)],[f39])).
% 0.14/0.34 fof(f79,plain,(
% 0.14/0.34 ![X0,X1,X2,X3,X4,X5]: (~inverse(sk_c8)=sk_c7|~inverse(sk_c7)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8)),
% 0.14/0.34 inference(cnf_transformation,[status(esa)],[f78])).
% 0.14/0.34 fof(f80,plain,(
% 0.14/0.34 spl0_0 <=> inverse(sk_c8)=sk_c7),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f81,plain,(
% 0.14/0.34 inverse(sk_c8)=sk_c7|~spl0_0),
% 0.14/0.34 inference(component_clause,[status(thm)],[f80])).
% 0.14/0.34 fof(f82,plain,(
% 0.14/0.34 ~inverse(sk_c8)=sk_c7|spl0_0),
% 0.14/0.34 inference(component_clause,[status(thm)],[f80])).
% 0.14/0.34 fof(f83,plain,(
% 0.14/0.34 spl0_1 <=> inverse(sk_c4)=sk_c8),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f84,plain,(
% 0.14/0.34 inverse(sk_c4)=sk_c8|~spl0_1),
% 0.14/0.34 inference(component_clause,[status(thm)],[f83])).
% 0.14/0.34 fof(f86,plain,(
% 0.14/0.34 spl0_0|spl0_1),
% 0.14/0.34 inference(split_clause,[status(thm)],[f43,f80,f83])).
% 0.14/0.34 fof(f87,plain,(
% 0.14/0.34 spl0_2 <=> multiply(sk_c4,sk_c7)=sk_c8),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f88,plain,(
% 0.14/0.34 multiply(sk_c4,sk_c7)=sk_c8|~spl0_2),
% 0.14/0.34 inference(component_clause,[status(thm)],[f87])).
% 0.14/0.34 fof(f90,plain,(
% 0.14/0.34 spl0_0|spl0_2),
% 0.14/0.34 inference(split_clause,[status(thm)],[f44,f80,f87])).
% 0.14/0.34 fof(f91,plain,(
% 0.14/0.34 spl0_3 <=> multiply(sk_c8,sk_c6)=sk_c7),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f92,plain,(
% 0.14/0.34 multiply(sk_c8,sk_c6)=sk_c7|~spl0_3),
% 0.14/0.34 inference(component_clause,[status(thm)],[f91])).
% 0.14/0.34 fof(f94,plain,(
% 0.14/0.34 spl0_0|spl0_3),
% 0.14/0.34 inference(split_clause,[status(thm)],[f45,f80,f91])).
% 0.14/0.34 fof(f95,plain,(
% 0.14/0.34 spl0_4 <=> multiply(sk_c5,sk_c8)=sk_c6),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f96,plain,(
% 0.14/0.34 multiply(sk_c5,sk_c8)=sk_c6|~spl0_4),
% 0.14/0.34 inference(component_clause,[status(thm)],[f95])).
% 0.14/0.34 fof(f98,plain,(
% 0.14/0.34 spl0_0|spl0_4),
% 0.14/0.34 inference(split_clause,[status(thm)],[f46,f80,f95])).
% 0.14/0.34 fof(f99,plain,(
% 0.14/0.34 spl0_5 <=> inverse(sk_c5)=sk_c8),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f100,plain,(
% 0.14/0.34 inverse(sk_c5)=sk_c8|~spl0_5),
% 0.14/0.34 inference(component_clause,[status(thm)],[f99])).
% 0.14/0.34 fof(f102,plain,(
% 0.14/0.34 spl0_0|spl0_5),
% 0.14/0.34 inference(split_clause,[status(thm)],[f47,f80,f99])).
% 0.14/0.34 fof(f103,plain,(
% 0.14/0.34 spl0_6 <=> inverse(sk_c7)=sk_c8),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f104,plain,(
% 0.14/0.34 inverse(sk_c7)=sk_c8|~spl0_6),
% 0.14/0.34 inference(component_clause,[status(thm)],[f103])).
% 0.14/0.34 fof(f106,plain,(
% 0.14/0.34 spl0_6|spl0_1),
% 0.14/0.34 inference(split_clause,[status(thm)],[f48,f103,f83])).
% 0.14/0.34 fof(f107,plain,(
% 0.14/0.34 spl0_6|spl0_2),
% 0.14/0.34 inference(split_clause,[status(thm)],[f49,f103,f87])).
% 0.14/0.34 fof(f111,plain,(
% 0.14/0.34 spl0_7 <=> multiply(sk_c1,sk_c7)=sk_c8),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f112,plain,(
% 0.14/0.34 multiply(sk_c1,sk_c7)=sk_c8|~spl0_7),
% 0.14/0.34 inference(component_clause,[status(thm)],[f111])).
% 0.14/0.34 fof(f114,plain,(
% 0.14/0.34 spl0_7|spl0_1),
% 0.14/0.34 inference(split_clause,[status(thm)],[f53,f111,f83])).
% 0.14/0.34 fof(f115,plain,(
% 0.14/0.34 spl0_7|spl0_2),
% 0.14/0.34 inference(split_clause,[status(thm)],[f54,f111,f87])).
% 0.14/0.34 fof(f116,plain,(
% 0.14/0.34 spl0_7|spl0_3),
% 0.14/0.34 inference(split_clause,[status(thm)],[f55,f111,f91])).
% 0.14/0.34 fof(f117,plain,(
% 0.14/0.34 spl0_7|spl0_4),
% 0.14/0.34 inference(split_clause,[status(thm)],[f56,f111,f95])).
% 0.14/0.34 fof(f118,plain,(
% 0.14/0.34 spl0_7|spl0_5),
% 0.14/0.34 inference(split_clause,[status(thm)],[f57,f111,f99])).
% 0.14/0.34 fof(f119,plain,(
% 0.14/0.34 spl0_8 <=> inverse(sk_c1)=sk_c7),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f120,plain,(
% 0.14/0.34 inverse(sk_c1)=sk_c7|~spl0_8),
% 0.14/0.34 inference(component_clause,[status(thm)],[f119])).
% 0.14/0.34 fof(f122,plain,(
% 0.14/0.34 spl0_8|spl0_1),
% 0.14/0.34 inference(split_clause,[status(thm)],[f58,f119,f83])).
% 0.14/0.34 fof(f123,plain,(
% 0.14/0.34 spl0_8|spl0_2),
% 0.14/0.34 inference(split_clause,[status(thm)],[f59,f119,f87])).
% 0.14/0.34 fof(f124,plain,(
% 0.14/0.34 spl0_8|spl0_3),
% 0.14/0.34 inference(split_clause,[status(thm)],[f60,f119,f91])).
% 0.14/0.34 fof(f125,plain,(
% 0.14/0.34 spl0_8|spl0_4),
% 0.14/0.34 inference(split_clause,[status(thm)],[f61,f119,f95])).
% 0.14/0.34 fof(f126,plain,(
% 0.14/0.34 spl0_8|spl0_5),
% 0.14/0.34 inference(split_clause,[status(thm)],[f62,f119,f99])).
% 0.14/0.34 fof(f127,plain,(
% 0.14/0.34 spl0_9 <=> multiply(sk_c8,sk_c3)=sk_c7),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f128,plain,(
% 0.14/0.34 multiply(sk_c8,sk_c3)=sk_c7|~spl0_9),
% 0.14/0.34 inference(component_clause,[status(thm)],[f127])).
% 0.14/0.34 fof(f130,plain,(
% 0.14/0.34 spl0_9|spl0_1),
% 0.14/0.34 inference(split_clause,[status(thm)],[f63,f127,f83])).
% 0.14/0.34 fof(f131,plain,(
% 0.14/0.34 spl0_9|spl0_2),
% 0.14/0.34 inference(split_clause,[status(thm)],[f64,f127,f87])).
% 0.14/0.34 fof(f132,plain,(
% 0.14/0.34 spl0_9|spl0_3),
% 0.14/0.34 inference(split_clause,[status(thm)],[f65,f127,f91])).
% 0.14/0.34 fof(f133,plain,(
% 0.14/0.34 spl0_9|spl0_4),
% 0.14/0.34 inference(split_clause,[status(thm)],[f66,f127,f95])).
% 0.14/0.34 fof(f134,plain,(
% 0.14/0.34 spl0_9|spl0_5),
% 0.14/0.34 inference(split_clause,[status(thm)],[f67,f127,f99])).
% 0.14/0.34 fof(f135,plain,(
% 0.14/0.34 spl0_10 <=> multiply(sk_c2,sk_c8)=sk_c3),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f136,plain,(
% 0.14/0.34 multiply(sk_c2,sk_c8)=sk_c3|~spl0_10),
% 0.14/0.34 inference(component_clause,[status(thm)],[f135])).
% 0.14/0.34 fof(f138,plain,(
% 0.14/0.34 spl0_10|spl0_1),
% 0.14/0.34 inference(split_clause,[status(thm)],[f68,f135,f83])).
% 0.14/0.34 fof(f139,plain,(
% 0.14/0.34 spl0_10|spl0_2),
% 0.14/0.34 inference(split_clause,[status(thm)],[f69,f135,f87])).
% 0.14/0.34 fof(f140,plain,(
% 0.14/0.34 spl0_10|spl0_3),
% 0.14/0.34 inference(split_clause,[status(thm)],[f70,f135,f91])).
% 0.14/0.34 fof(f141,plain,(
% 0.14/0.34 spl0_10|spl0_4),
% 0.14/0.34 inference(split_clause,[status(thm)],[f71,f135,f95])).
% 0.14/0.34 fof(f142,plain,(
% 0.14/0.34 spl0_10|spl0_5),
% 0.14/0.34 inference(split_clause,[status(thm)],[f72,f135,f99])).
% 0.14/0.34 fof(f143,plain,(
% 0.14/0.34 spl0_11 <=> inverse(sk_c2)=sk_c8),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f144,plain,(
% 0.14/0.34 inverse(sk_c2)=sk_c8|~spl0_11),
% 0.14/0.34 inference(component_clause,[status(thm)],[f143])).
% 0.14/0.34 fof(f146,plain,(
% 0.14/0.34 spl0_11|spl0_1),
% 0.14/0.34 inference(split_clause,[status(thm)],[f73,f143,f83])).
% 0.14/0.34 fof(f147,plain,(
% 0.14/0.34 spl0_11|spl0_2),
% 0.14/0.34 inference(split_clause,[status(thm)],[f74,f143,f87])).
% 0.14/0.34 fof(f148,plain,(
% 0.14/0.34 spl0_11|spl0_3),
% 0.14/0.34 inference(split_clause,[status(thm)],[f75,f143,f91])).
% 0.14/0.34 fof(f149,plain,(
% 0.14/0.34 spl0_11|spl0_4),
% 0.14/0.34 inference(split_clause,[status(thm)],[f76,f143,f95])).
% 0.14/0.34 fof(f150,plain,(
% 0.14/0.34 spl0_11|spl0_5),
% 0.14/0.34 inference(split_clause,[status(thm)],[f77,f143,f99])).
% 0.14/0.34 fof(f151,plain,(
% 0.14/0.34 spl0_12 <=> ~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f152,plain,(
% 0.14/0.34 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~spl0_12)),
% 0.14/0.34 inference(component_clause,[status(thm)],[f151])).
% 0.14/0.34 fof(f154,plain,(
% 0.14/0.34 spl0_13 <=> ~multiply(sk_c8,X1)=sk_c7|~multiply(X2,sk_c8)=X1|~inverse(X2)=sk_c8),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f155,plain,(
% 0.14/0.34 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_13)),
% 0.14/0.34 inference(component_clause,[status(thm)],[f154])).
% 0.14/0.34 fof(f157,plain,(
% 0.14/0.34 spl0_14 <=> ~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f158,plain,(
% 0.14/0.34 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~spl0_14)),
% 0.14/0.34 inference(component_clause,[status(thm)],[f157])).
% 0.14/0.34 fof(f160,plain,(
% 0.14/0.34 ~spl0_0|~spl0_6|spl0_12|spl0_13|spl0_14),
% 0.14/0.34 inference(split_clause,[status(thm)],[f79,f80,f103,f151,f154,f157])).
% 0.14/0.34 fof(f165,plain,(
% 0.14/0.34 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f41,f42])).
% 0.14/0.34 fof(f166,plain,(
% 0.14/0.34 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f40,f165])).
% 0.14/0.34 fof(f167,plain,(
% 0.14/0.34 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f166,f166])).
% 0.14/0.34 fof(f168,plain,(
% 0.14/0.34 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f41,f166])).
% 0.14/0.34 fof(f170,plain,(
% 0.14/0.34 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f42,f166])).
% 0.14/0.34 fof(f177,plain,(
% 0.14/0.34 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f166,f167])).
% 0.14/0.34 fof(f178,plain,(
% 0.14/0.34 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f41,f167])).
% 0.14/0.34 fof(f187,plain,(
% 0.14/0.34 inverse(identity)=identity),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f40,f178])).
% 0.14/0.34 fof(f206,plain,(
% 0.14/0.34 ![X0]: (X0=multiply(X0,identity))),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f167,f168])).
% 0.14/0.34 fof(f207,plain,(
% 0.14/0.34 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f167,f206])).
% 0.14/0.34 fof(f208,plain,(
% 0.14/0.34 ![X0]: (inverse(inverse(X0))=X0)),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f206,f207])).
% 0.14/0.34 fof(f259,plain,(
% 0.14/0.34 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f178,f170])).
% 0.14/0.34 fof(f260,plain,(
% 0.14/0.34 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f206,f259])).
% 0.14/0.34 fof(f355,plain,(
% 0.14/0.34 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f260,f260])).
% 0.14/0.34 fof(f356,plain,(
% 0.14/0.34 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f208,f355])).
% 0.14/0.34 fof(f633,plain,(
% 0.14/0.34 inverse(sk_c8)=sk_c5|~spl0_5),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f100,f208])).
% 0.14/0.34 fof(f638,plain,(
% 0.14/0.34 inverse(sk_c8)=sk_c4|~spl0_1),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f84,f208])).
% 0.14/0.34 fof(f643,plain,(
% 0.14/0.34 inverse(sk_c8)=sk_c2|~spl0_11),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f144,f208])).
% 0.14/0.34 fof(f648,plain,(
% 0.14/0.34 inverse(sk_c7)=sk_c1|~spl0_8),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f120,f208])).
% 0.14/0.34 fof(f668,plain,(
% 0.14/0.34 sk_c5=sk_c4|~spl0_5|~spl0_1),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f633,f638])).
% 0.14/0.34 fof(f681,plain,(
% 0.14/0.34 multiply(sk_c1,sk_c7)=identity|~spl0_8),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f648,f41])).
% 0.14/0.34 fof(f714,plain,(
% 0.14/0.34 sk_c7=multiply(inverse(sk_c4),sk_c8)|~spl0_2),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f88,f166])).
% 0.14/0.34 fof(f715,plain,(
% 0.14/0.34 sk_c7=multiply(sk_c8,sk_c8)|~spl0_1|~spl0_2),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f84,f714])).
% 0.14/0.34 fof(f761,plain,(
% 0.14/0.34 ~inverse(sk_c4)=sk_c8|~spl0_14|~spl0_2),
% 0.14/0.34 inference(resolution,[status(thm)],[f158,f88])).
% 0.14/0.34 fof(f762,plain,(
% 0.14/0.34 ~sk_c8=sk_c8|~spl0_1|~spl0_14|~spl0_2),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f84,f761])).
% 0.14/0.34 fof(f763,plain,(
% 0.14/0.34 $false|~spl0_1|~spl0_14|~spl0_2),
% 0.14/0.34 inference(trivial_equality_resolution,[status(esa)],[f762])).
% 0.14/0.34 fof(f764,plain,(
% 0.14/0.34 ~spl0_1|~spl0_14|~spl0_2),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f763])).
% 0.14/0.34 fof(f765,plain,(
% 0.14/0.34 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_13)),
% 0.14/0.34 inference(destructive_equality_resolution,[status(esa)],[f155])).
% 0.14/0.34 fof(f768,plain,(
% 0.14/0.34 sk_c1=sk_c8|~spl0_8|~spl0_6),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f648,f104])).
% 0.14/0.34 fof(f773,plain,(
% 0.14/0.34 inverse(sk_c2)=sk_c8|~spl0_11),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f643,f208])).
% 0.14/0.34 fof(f791,plain,(
% 0.14/0.34 inverse(sk_c7)=sk_c8|~spl0_0),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f81,f208])).
% 0.14/0.34 fof(f805,plain,(
% 0.14/0.34 spl0_15 <=> sk_c8=sk_c7),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f806,plain,(
% 0.14/0.34 sk_c8=sk_c7|~spl0_15),
% 0.14/0.34 inference(component_clause,[status(thm)],[f805])).
% 0.14/0.34 fof(f807,plain,(
% 0.14/0.34 ~sk_c8=sk_c7|spl0_15),
% 0.14/0.34 inference(component_clause,[status(thm)],[f805])).
% 0.14/0.34 fof(f808,plain,(
% 0.14/0.34 spl0_16 <=> inverse(inverse(sk_c8))=sk_c8),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f810,plain,(
% 0.14/0.34 ~inverse(inverse(sk_c8))=sk_c8|spl0_16),
% 0.14/0.34 inference(component_clause,[status(thm)],[f808])).
% 0.14/0.34 fof(f811,plain,(
% 0.14/0.34 ~sk_c8=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_13),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f177,f765])).
% 0.14/0.34 fof(f812,plain,(
% 0.14/0.34 ~spl0_15|~spl0_16|~spl0_13),
% 0.14/0.34 inference(split_clause,[status(thm)],[f811,f805,f808,f154])).
% 0.14/0.34 fof(f815,plain,(
% 0.14/0.34 spl0_17 <=> multiply(sk_c8,identity)=sk_c7),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f818,plain,(
% 0.14/0.34 ~multiply(sk_c8,identity)=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~spl0_13),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f41,f765])).
% 0.14/0.34 fof(f819,plain,(
% 0.14/0.34 ~spl0_17|~spl0_16|~spl0_13),
% 0.14/0.34 inference(split_clause,[status(thm)],[f818,f815,f808,f154])).
% 0.14/0.34 fof(f820,plain,(
% 0.14/0.34 spl0_18 <=> multiply(sk_c8,sk_c8)=sk_c7),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f823,plain,(
% 0.14/0.34 spl0_19 <=> inverse(identity)=sk_c8),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f825,plain,(
% 0.14/0.34 ~inverse(identity)=sk_c8|spl0_19),
% 0.14/0.34 inference(component_clause,[status(thm)],[f823])).
% 0.14/0.34 fof(f826,plain,(
% 0.14/0.34 ~multiply(sk_c8,sk_c8)=sk_c7|~inverse(identity)=sk_c8|~spl0_13),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f40,f765])).
% 0.14/0.34 fof(f827,plain,(
% 0.14/0.34 ~spl0_18|~spl0_19|~spl0_13),
% 0.14/0.34 inference(split_clause,[status(thm)],[f826,f820,f823,f154])).
% 0.14/0.34 fof(f829,plain,(
% 0.14/0.34 ~identity=sk_c8|spl0_19),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f187,f825])).
% 0.14/0.34 fof(f831,plain,(
% 0.14/0.34 ~sk_c8=sk_c8|spl0_16),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f208,f810])).
% 0.14/0.34 fof(f832,plain,(
% 0.14/0.34 $false|spl0_16),
% 0.14/0.34 inference(trivial_equality_resolution,[status(esa)],[f831])).
% 0.14/0.34 fof(f833,plain,(
% 0.14/0.34 spl0_16),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f832])).
% 0.14/0.34 fof(f1740,plain,(
% 0.14/0.34 spl0_20 <=> inverse(sk_c1)=sk_c8),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f1743,plain,(
% 0.14/0.34 spl0_21 <=> sk_c8=sk_c8),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f1745,plain,(
% 0.14/0.34 ~sk_c8=sk_c8|spl0_21),
% 0.14/0.34 inference(component_clause,[status(thm)],[f1743])).
% 0.14/0.34 fof(f1746,plain,(
% 0.14/0.34 ~inverse(sk_c1)=sk_c8|~sk_c8=sk_c8|~spl0_14|~spl0_7),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f112,f158])).
% 0.14/0.34 fof(f1747,plain,(
% 0.14/0.34 ~spl0_20|~spl0_21|~spl0_14|~spl0_7),
% 0.14/0.34 inference(split_clause,[status(thm)],[f1746,f1740,f1743,f157,f111])).
% 0.14/0.34 fof(f1754,plain,(
% 0.14/0.34 spl0_22 <=> inverse(inverse(sk_c7))=sk_c8),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f1756,plain,(
% 0.14/0.34 ~inverse(inverse(sk_c7))=sk_c8|spl0_22),
% 0.14/0.34 inference(component_clause,[status(thm)],[f1754])).
% 0.14/0.34 fof(f1757,plain,(
% 0.14/0.34 spl0_23 <=> identity=sk_c8),
% 0.14/0.34 introduced(split_symbol_definition)).
% 0.14/0.34 fof(f1759,plain,(
% 0.14/0.34 ~identity=sk_c8|spl0_23),
% 0.14/0.34 inference(component_clause,[status(thm)],[f1757])).
% 0.14/0.34 fof(f1760,plain,(
% 0.14/0.34 ~inverse(inverse(sk_c7))=sk_c8|~identity=sk_c8|~spl0_14),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f41,f158])).
% 0.14/0.34 fof(f1761,plain,(
% 0.14/0.34 ~spl0_22|~spl0_23|~spl0_14),
% 0.14/0.34 inference(split_clause,[status(thm)],[f1760,f1754,f1757,f157])).
% 0.14/0.34 fof(f1762,plain,(
% 0.14/0.34 ~inverse(identity)=sk_c8|~sk_c7=sk_c8|~spl0_14),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f40,f158])).
% 0.14/0.34 fof(f1763,plain,(
% 0.14/0.34 ~spl0_19|~spl0_15|~spl0_14),
% 0.14/0.34 inference(split_clause,[status(thm)],[f1762,f823,f805,f157])).
% 0.14/0.34 fof(f1769,plain,(
% 0.14/0.34 ~sk_c7=sk_c8|spl0_22),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f208,f1756])).
% 0.14/0.34 fof(f1770,plain,(
% 0.14/0.34 $false|spl0_21),
% 0.14/0.34 inference(trivial_equality_resolution,[status(esa)],[f1745])).
% 0.14/0.34 fof(f1771,plain,(
% 0.14/0.34 spl0_21),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f1770])).
% 0.14/0.34 fof(f1788,plain,(
% 0.14/0.34 inverse(sk_c8)=sk_c4|~spl0_1),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f84,f208])).
% 0.14/0.34 fof(f2496,plain,(
% 0.14/0.34 multiply(sk_c4,sk_c8)=sk_c6|~spl0_5|~spl0_1|~spl0_4),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f668,f96])).
% 0.14/0.34 fof(f2539,plain,(
% 0.14/0.34 spl0_6|~spl0_0),
% 0.14/0.34 inference(split_clause,[status(thm)],[f791,f103,f80])).
% 0.14/0.34 fof(f2573,plain,(
% 0.14/0.34 inverse(sk_c8)=sk_c2|~spl0_11),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f773,f208])).
% 0.14/0.34 fof(f2574,plain,(
% 0.14/0.34 sk_c7=sk_c2|~spl0_0|~spl0_11),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f81,f2573])).
% 0.14/0.34 fof(f2579,plain,(
% 0.14/0.34 inverse(sk_c7)=sk_c8|~spl0_0|~spl0_11),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f2574,f144])).
% 0.14/0.34 fof(f2590,plain,(
% 0.14/0.34 multiply(sk_c8,sk_c7)=sk_c8|~spl0_8|~spl0_6|~spl0_7),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f768,f112])).
% 0.14/0.34 fof(f2603,plain,(
% 0.14/0.34 inverse(sk_c7)=multiply(inverse(sk_c8),sk_c8)|~spl0_8|~spl0_6|~spl0_7),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f2590,f260])).
% 0.14/0.34 fof(f2604,plain,(
% 0.14/0.34 sk_c8=multiply(inverse(sk_c8),sk_c8)|~spl0_0|~spl0_11|~spl0_8|~spl0_6|~spl0_7),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f2579,f2603])).
% 0.14/0.34 fof(f2605,plain,(
% 0.14/0.34 sk_c8=identity|~spl0_0|~spl0_11|~spl0_8|~spl0_6|~spl0_7),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f41,f2604])).
% 0.14/0.34 fof(f2606,plain,(
% 0.14/0.34 sk_c7=multiply(inverse(sk_c8),sk_c8)|~spl0_8|~spl0_6|~spl0_7),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f2590,f166])).
% 0.14/0.34 fof(f2607,plain,(
% 0.14/0.34 sk_c7=identity|~spl0_8|~spl0_6|~spl0_7),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f41,f2606])).
% 0.14/0.34 fof(f2609,plain,(
% 0.14/0.34 multiply(sk_c7,sk_c8)=sk_c3|~spl0_0|~spl0_11|~spl0_10),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f2574,f136])).
% 0.14/0.34 fof(f2620,plain,(
% 0.14/0.34 sk_c8=multiply(inverse(sk_c7),sk_c3)|~spl0_0|~spl0_11|~spl0_10),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f2609,f166])).
% 0.14/0.34 fof(f2621,plain,(
% 0.14/0.34 sk_c8=multiply(sk_c8,sk_c3)|~spl0_0|~spl0_11|~spl0_10),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f2579,f2620])).
% 0.14/0.34 fof(f2633,plain,(
% 0.14/0.34 ~sk_c7=identity|~spl0_0|~spl0_11|~spl0_8|~spl0_6|~spl0_7|spl0_22),
% 0.14/0.34 inference(backward_demodulation,[status(thm)],[f2605,f1769])).
% 0.14/0.34 fof(f2636,plain,(
% 0.14/0.34 ~identity=identity|~spl0_0|~spl0_11|~spl0_8|~spl0_6|~spl0_7|spl0_22),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f2607,f2633])).
% 0.14/0.34 fof(f2637,plain,(
% 0.14/0.34 $false|~spl0_0|~spl0_11|~spl0_8|~spl0_6|~spl0_7|spl0_22),
% 0.14/0.34 inference(trivial_equality_resolution,[status(esa)],[f2636])).
% 0.14/0.34 fof(f2638,plain,(
% 0.14/0.34 ~spl0_0|~spl0_11|~spl0_8|~spl0_6|~spl0_7|spl0_22),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f2637])).
% 0.14/0.34 fof(f2639,plain,(
% 0.14/0.34 ~spl0_23|spl0_19),
% 0.14/0.34 inference(split_clause,[status(thm)],[f829,f1757,f823])).
% 0.14/0.34 fof(f2665,plain,(
% 0.14/0.34 inverse(sk_c8)=sk_c7|~spl0_6),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f104,f208])).
% 0.14/0.34 fof(f2666,plain,(
% 0.14/0.34 spl0_0|~spl0_6),
% 0.14/0.34 inference(split_clause,[status(thm)],[f2665,f80,f103])).
% 0.14/0.34 fof(f3052,plain,(
% 0.14/0.34 ~sk_c4=sk_c7|~spl0_1|spl0_0),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f1788,f82])).
% 0.14/0.34 fof(f3064,plain,(
% 0.14/0.34 sk_c8=multiply(inverse(sk_c4),sk_c6)|~spl0_5|~spl0_1|~spl0_4),
% 0.14/0.34 inference(paramodulation,[status(thm)],[f2496,f166])).
% 0.14/0.34 fof(f3065,plain,(
% 0.14/0.34 sk_c8=multiply(sk_c8,sk_c6)|~spl0_5|~spl0_1|~spl0_4),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f84,f3064])).
% 0.14/0.34 fof(f3066,plain,(
% 0.14/0.34 sk_c8=sk_c7|~spl0_3|~spl0_5|~spl0_1|~spl0_4),
% 0.14/0.34 inference(forward_demodulation,[status(thm)],[f92,f3065])).
% 0.14/0.34 fof(f3067,plain,(
% 0.14/0.34 $false|spl0_15|~spl0_3|~spl0_5|~spl0_1|~spl0_4),
% 0.14/0.34 inference(forward_subsumption_resolution,[status(thm)],[f3066,f807])).
% 0.14/0.34 fof(f3068,plain,(
% 0.14/0.34 spl0_15|~spl0_3|~spl0_5|~spl0_1|~spl0_4),
% 0.14/0.34 inference(contradiction_clause,[status(thm)],[f3067])).
% 0.26/0.58 fof(f3072,plain,(
% 0.26/0.58 sk_c8=identity|~spl0_7|~spl0_8),
% 0.26/0.58 inference(forward_demodulation,[status(thm)],[f112,f681])).
% 0.26/0.58 fof(f3073,plain,(
% 0.26/0.58 $false|spl0_23|~spl0_7|~spl0_8),
% 0.26/0.58 inference(forward_subsumption_resolution,[status(thm)],[f3072,f1759])).
% 0.26/0.58 fof(f3074,plain,(
% 0.26/0.58 spl0_23|~spl0_7|~spl0_8),
% 0.26/0.58 inference(contradiction_clause,[status(thm)],[f3073])).
% 0.26/0.58 fof(f3078,plain,(
% 0.26/0.58 sk_c8=sk_c7|~spl0_9|~spl0_0|~spl0_11|~spl0_10),
% 0.26/0.58 inference(forward_demodulation,[status(thm)],[f128,f2621])).
% 0.26/0.58 fof(f3079,plain,(
% 0.26/0.58 $false|spl0_15|~spl0_9|~spl0_0|~spl0_11|~spl0_10),
% 0.26/0.58 inference(forward_subsumption_resolution,[status(thm)],[f3078,f807])).
% 0.26/0.58 fof(f3080,plain,(
% 0.26/0.58 spl0_15|~spl0_9|~spl0_0|~spl0_11|~spl0_10),
% 0.26/0.58 inference(contradiction_clause,[status(thm)],[f3079])).
% 0.26/0.58 fof(f3781,plain,(
% 0.26/0.58 ![X0]: (~multiply(X0,sk_c8)=sk_c8|~inverse(X0)=sk_c7|~spl0_15|~spl0_12)),
% 0.26/0.58 inference(forward_demodulation,[status(thm)],[f806,f152])).
% 0.26/0.58 fof(f3782,plain,(
% 0.26/0.58 ![X0]: (~multiply(X0,sk_c8)=sk_c8|~inverse(X0)=sk_c8|~spl0_15|~spl0_12)),
% 0.26/0.58 inference(forward_demodulation,[status(thm)],[f806,f3781])).
% 0.26/0.58 fof(f3788,plain,(
% 0.26/0.58 ~sk_c8=sk_c8|~inverse(identity)=sk_c8|~spl0_15|~spl0_12),
% 0.26/0.58 inference(paramodulation,[status(thm)],[f40,f3782])).
% 0.26/0.58 fof(f3789,plain,(
% 0.26/0.58 ~spl0_21|~spl0_19|~spl0_15|~spl0_12),
% 0.26/0.58 inference(split_clause,[status(thm)],[f3788,f1743,f823,f805,f151])).
% 0.26/0.58 fof(f3792,plain,(
% 0.26/0.58 ~sk_c4=sk_c8|~spl0_15|~spl0_1|spl0_0),
% 0.26/0.58 inference(forward_demodulation,[status(thm)],[f806,f3052])).
% 0.26/0.58 fof(f3840,plain,(
% 0.26/0.58 sk_c8=multiply(sk_c8,sk_c8)|~spl0_15|~spl0_1|~spl0_2),
% 0.26/0.58 inference(forward_demodulation,[status(thm)],[f806,f715])).
% 0.26/0.58 fof(f3853,plain,(
% 0.26/0.58 inverse(sk_c8)=multiply(sk_c8,inverse(sk_c8))|~spl0_15|~spl0_1|~spl0_2),
% 0.26/0.58 inference(paramodulation,[status(thm)],[f3840,f356])).
% 0.26/0.58 fof(f3854,plain,(
% 0.26/0.58 sk_c4=multiply(sk_c8,inverse(sk_c8))|~spl0_15|~spl0_1|~spl0_2),
% 0.26/0.58 inference(forward_demodulation,[status(thm)],[f1788,f3853])).
% 0.26/0.58 fof(f3855,plain,(
% 0.26/0.58 sk_c4=identity|~spl0_15|~spl0_1|~spl0_2),
% 0.26/0.58 inference(forward_demodulation,[status(thm)],[f178,f3854])).
% 0.26/0.58 fof(f3859,plain,(
% 0.26/0.58 sk_c8=multiply(inverse(sk_c8),sk_c8)|~spl0_15|~spl0_1|~spl0_2),
% 0.26/0.58 inference(paramodulation,[status(thm)],[f3840,f166])).
% 0.26/0.58 fof(f3860,plain,(
% 0.26/0.58 sk_c8=identity|~spl0_15|~spl0_1|~spl0_2),
% 0.26/0.58 inference(forward_demodulation,[status(thm)],[f41,f3859])).
% 0.26/0.58 fof(f3861,plain,(
% 0.26/0.58 $false|spl0_23|~spl0_15|~spl0_1|~spl0_2),
% 0.26/0.58 inference(forward_subsumption_resolution,[status(thm)],[f3860,f1759])).
% 0.26/0.58 fof(f3862,plain,(
% 0.26/0.58 spl0_23|~spl0_15|~spl0_1|~spl0_2),
% 0.26/0.58 inference(contradiction_clause,[status(thm)],[f3861])).
% 0.26/0.58 fof(f3870,plain,(
% 0.26/0.58 ~identity=sk_c8|~spl0_2|~spl0_15|~spl0_1|spl0_0),
% 0.26/0.58 inference(backward_demodulation,[status(thm)],[f3855,f3792])).
% 0.26/0.58 fof(f3871,plain,(
% 0.26/0.58 ~spl0_23|~spl0_2|~spl0_15|~spl0_1|spl0_0),
% 0.26/0.58 inference(split_clause,[status(thm)],[f3870,f1757,f87,f805,f83,f80])).
% 0.26/0.58 fof(f3875,plain,(
% 0.26/0.58 $false),
% 0.26/0.58 inference(sat_refutation,[status(thm)],[f86,f90,f94,f98,f102,f106,f107,f114,f115,f116,f117,f118,f122,f123,f124,f125,f126,f130,f131,f132,f133,f134,f138,f139,f140,f141,f142,f146,f147,f148,f149,f150,f160,f764,f812,f819,f827,f833,f1747,f1761,f1763,f1771,f2539,f2638,f2639,f2666,f3068,f3074,f3080,f3789,f3862,f3871])).
% 0.26/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.58 % Elapsed time: 0.072750 seconds
% 0.26/0.58 % CPU time: 0.079989 seconds
% 0.26/0.58 % Memory used: 12.587 MB
%------------------------------------------------------------------------------