TSTP Solution File: GRP211-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP211-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:19:45 EDT 2024
% Result : Unsatisfiable 0.15s 0.36s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP211-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n024.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Apr 30 00:28:36 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 0.15/0.36 % Refutation found
% 0.15/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.36 fof(f1,axiom,(
% 0.15/0.36 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f2,axiom,(
% 0.15/0.36 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f3,axiom,(
% 0.15/0.36 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f4,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f5,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f6,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f7,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f8,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f9,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c1) = sk_c2| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f10,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c1) = sk_c2| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f11,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f12,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c1) = sk_c2| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f13,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c1) = sk_c2| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f14,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f15,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f16,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f17,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f18,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f19,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c3) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f20,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c3) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f21,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c3) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f22,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f23,negated_conjecture,(
% 0.15/0.36 ( inverse(sk_c3) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f24,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f25,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f26,negated_conjecture,(
% 0.15/0.36 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.15/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f27,negated_conjecture,(
% 0.15/0.37 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f28,negated_conjecture,(
% 0.15/0.37 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f29,negated_conjecture,(
% 0.15/0.37 (![X4,X5,X6,X1,X2,X3]: (( multiply(X4,X5) != sk_c8| inverse(X4) != X5| multiply(X5,sk_c7) != sk_c8| inverse(X6) != sk_c8| multiply(X6,sk_c7) != 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 ) ))),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f30,plain,(
% 0.15/0.37 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.37 fof(f31,plain,(
% 0.15/0.37 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.37 fof(f32,plain,(
% 0.15/0.37 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.37 fof(f33,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f4])).
% 0.15/0.37 fof(f34,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.37 fof(f35,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f6])).
% 0.15/0.37 fof(f36,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.37 fof(f37,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.37 fof(f38,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c2|inverse(sk_c4)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f9])).
% 0.15/0.37 fof(f39,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c2|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.37 fof(f40,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c6)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f11])).
% 0.15/0.37 fof(f41,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c2|multiply(sk_c5,sk_c8)=sk_c6),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.37 fof(f42,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c2|inverse(sk_c5)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f13])).
% 0.15/0.37 fof(f43,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f14])).
% 0.15/0.37 fof(f44,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f15])).
% 0.15/0.37 fof(f45,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f16])).
% 0.15/0.37 fof(f46,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.37 fof(f47,plain,(
% 0.15/0.37 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.37 fof(f48,plain,(
% 0.15/0.37 inverse(sk_c3)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f19])).
% 0.15/0.37 fof(f49,plain,(
% 0.15/0.37 inverse(sk_c3)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f20])).
% 0.15/0.37 fof(f50,plain,(
% 0.15/0.37 inverse(sk_c3)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f21])).
% 0.15/0.37 fof(f51,plain,(
% 0.15/0.37 inverse(sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f22])).
% 0.15/0.37 fof(f52,plain,(
% 0.15/0.37 inverse(sk_c3)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f23])).
% 0.15/0.37 fof(f53,plain,(
% 0.15/0.37 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f24])).
% 0.15/0.37 fof(f54,plain,(
% 0.15/0.37 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f25])).
% 0.15/0.37 fof(f55,plain,(
% 0.15/0.37 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f26])).
% 0.15/0.37 fof(f56,plain,(
% 0.15/0.37 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f27])).
% 0.15/0.37 fof(f57,plain,(
% 0.15/0.37 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f28])).
% 0.15/0.37 fof(f58,plain,(
% 0.15/0.37 ![X3]: ((![X2]: (((![X1]: (((![X6]: (((![X5]: ((![X4]: (~multiply(X4,X5)=sk_c8|~inverse(X4)=X5))|~multiply(X5,sk_c7)=sk_c8))|~inverse(X6)=sk_c8)|~multiply(X6,sk_c7)=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)),
% 0.15/0.37 inference(miniscoping,[status(esa)],[f29])).
% 0.15/0.37 fof(f59,plain,(
% 0.15/0.37 ![X0,X1,X2,X3,X4,X5]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=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)),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f58])).
% 0.15/0.37 fof(f60,plain,(
% 0.15/0.37 spl0_0 <=> multiply(sk_c1,sk_c2)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f61,plain,(
% 0.15/0.37 multiply(sk_c1,sk_c2)=sk_c8|~spl0_0),
% 0.15/0.37 inference(component_clause,[status(thm)],[f60])).
% 0.15/0.37 fof(f63,plain,(
% 0.15/0.37 spl0_1 <=> inverse(sk_c4)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f64,plain,(
% 0.15/0.37 inverse(sk_c4)=sk_c8|~spl0_1),
% 0.15/0.37 inference(component_clause,[status(thm)],[f63])).
% 0.15/0.37 fof(f66,plain,(
% 0.15/0.37 spl0_0|spl0_1),
% 0.15/0.37 inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.15/0.37 fof(f67,plain,(
% 0.15/0.37 spl0_2 <=> multiply(sk_c4,sk_c7)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f68,plain,(
% 0.15/0.37 multiply(sk_c4,sk_c7)=sk_c8|~spl0_2),
% 0.15/0.37 inference(component_clause,[status(thm)],[f67])).
% 0.15/0.37 fof(f70,plain,(
% 0.15/0.37 spl0_0|spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f34,f60,f67])).
% 0.15/0.37 fof(f71,plain,(
% 0.15/0.37 spl0_3 <=> multiply(sk_c8,sk_c6)=sk_c7),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f72,plain,(
% 0.15/0.37 multiply(sk_c8,sk_c6)=sk_c7|~spl0_3),
% 0.15/0.37 inference(component_clause,[status(thm)],[f71])).
% 0.15/0.37 fof(f74,plain,(
% 0.15/0.37 spl0_0|spl0_3),
% 0.15/0.37 inference(split_clause,[status(thm)],[f35,f60,f71])).
% 0.15/0.37 fof(f75,plain,(
% 0.15/0.37 spl0_4 <=> multiply(sk_c5,sk_c8)=sk_c6),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f76,plain,(
% 0.15/0.37 multiply(sk_c5,sk_c8)=sk_c6|~spl0_4),
% 0.15/0.37 inference(component_clause,[status(thm)],[f75])).
% 0.15/0.37 fof(f78,plain,(
% 0.15/0.37 spl0_0|spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f36,f60,f75])).
% 0.15/0.37 fof(f79,plain,(
% 0.15/0.37 spl0_5 <=> inverse(sk_c5)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f80,plain,(
% 0.15/0.37 inverse(sk_c5)=sk_c8|~spl0_5),
% 0.15/0.37 inference(component_clause,[status(thm)],[f79])).
% 0.15/0.37 fof(f82,plain,(
% 0.15/0.37 spl0_0|spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f37,f60,f79])).
% 0.15/0.37 fof(f83,plain,(
% 0.15/0.37 spl0_6 <=> inverse(sk_c1)=sk_c2),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f84,plain,(
% 0.15/0.37 inverse(sk_c1)=sk_c2|~spl0_6),
% 0.15/0.37 inference(component_clause,[status(thm)],[f83])).
% 0.15/0.37 fof(f86,plain,(
% 0.15/0.37 spl0_6|spl0_1),
% 0.15/0.37 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.15/0.37 fof(f87,plain,(
% 0.15/0.37 spl0_6|spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.15/0.37 fof(f88,plain,(
% 0.15/0.37 spl0_6|spl0_3),
% 0.15/0.37 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.15/0.37 fof(f89,plain,(
% 0.15/0.37 spl0_6|spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.15/0.37 fof(f90,plain,(
% 0.15/0.37 spl0_6|spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.15/0.37 fof(f91,plain,(
% 0.15/0.37 spl0_7 <=> multiply(sk_c2,sk_c7)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f94,plain,(
% 0.15/0.37 spl0_7|spl0_1),
% 0.15/0.37 inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.15/0.37 fof(f95,plain,(
% 0.15/0.37 spl0_7|spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f44,f91,f67])).
% 0.15/0.37 fof(f96,plain,(
% 0.15/0.37 spl0_7|spl0_3),
% 0.15/0.37 inference(split_clause,[status(thm)],[f45,f91,f71])).
% 0.15/0.37 fof(f97,plain,(
% 0.15/0.37 spl0_7|spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f46,f91,f75])).
% 0.15/0.37 fof(f98,plain,(
% 0.15/0.37 spl0_7|spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f47,f91,f79])).
% 0.15/0.37 fof(f99,plain,(
% 0.15/0.37 spl0_8 <=> inverse(sk_c3)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f100,plain,(
% 0.15/0.37 inverse(sk_c3)=sk_c8|~spl0_8),
% 0.15/0.37 inference(component_clause,[status(thm)],[f99])).
% 0.15/0.37 fof(f102,plain,(
% 0.15/0.37 spl0_8|spl0_1),
% 0.15/0.37 inference(split_clause,[status(thm)],[f48,f99,f63])).
% 0.15/0.37 fof(f103,plain,(
% 0.15/0.37 spl0_8|spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.15/0.37 fof(f104,plain,(
% 0.15/0.37 spl0_8|spl0_3),
% 0.15/0.37 inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.15/0.37 fof(f105,plain,(
% 0.15/0.37 spl0_8|spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.15/0.37 fof(f106,plain,(
% 0.15/0.37 spl0_8|spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.15/0.37 fof(f107,plain,(
% 0.15/0.37 spl0_9 <=> multiply(sk_c3,sk_c7)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f108,plain,(
% 0.15/0.37 multiply(sk_c3,sk_c7)=sk_c8|~spl0_9),
% 0.15/0.37 inference(component_clause,[status(thm)],[f107])).
% 0.15/0.37 fof(f110,plain,(
% 0.15/0.37 spl0_9|spl0_1),
% 0.15/0.37 inference(split_clause,[status(thm)],[f53,f107,f63])).
% 0.15/0.37 fof(f111,plain,(
% 0.15/0.37 spl0_9|spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.15/0.37 fof(f112,plain,(
% 0.15/0.37 spl0_9|spl0_3),
% 0.15/0.37 inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.15/0.37 fof(f113,plain,(
% 0.15/0.37 spl0_9|spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.15/0.37 fof(f114,plain,(
% 0.15/0.37 spl0_9|spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.15/0.37 fof(f115,plain,(
% 0.15/0.37 spl0_10 <=> ~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f116,plain,(
% 0.15/0.37 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~spl0_10)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f115])).
% 0.15/0.37 fof(f118,plain,(
% 0.15/0.37 spl0_11 <=> ~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f119,plain,(
% 0.15/0.37 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~spl0_11)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f118])).
% 0.15/0.37 fof(f121,plain,(
% 0.15/0.37 spl0_12 <=> ~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f122,plain,(
% 0.15/0.37 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_12)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f121])).
% 0.15/0.37 fof(f124,plain,(
% 0.15/0.37 spl0_10|spl0_11|spl0_12),
% 0.15/0.37 inference(split_clause,[status(thm)],[f59,f115,f118,f121])).
% 0.15/0.37 fof(f125,plain,(
% 0.15/0.37 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_12)),
% 0.15/0.37 inference(destructive_equality_resolution,[status(esa)],[f122])).
% 0.15/0.37 fof(f126,plain,(
% 0.15/0.37 ~multiply(sk_c8,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c8|~spl0_12|~spl0_4),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f76,f125])).
% 0.15/0.37 fof(f127,plain,(
% 0.15/0.37 ~spl0_3|~spl0_5|~spl0_12|~spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f126,f71,f79,f121,f75])).
% 0.15/0.37 fof(f128,plain,(
% 0.15/0.37 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_10)),
% 0.15/0.37 inference(destructive_equality_resolution,[status(esa)],[f116])).
% 0.15/0.37 fof(f129,plain,(
% 0.15/0.37 ~multiply(sk_c4,sk_c7)=sk_c8|~spl0_11|~spl0_1),
% 0.15/0.37 inference(resolution,[status(thm)],[f119,f64])).
% 0.15/0.37 fof(f130,plain,(
% 0.15/0.37 ~sk_c8=sk_c8|~spl0_2|~spl0_11|~spl0_1),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f68,f129])).
% 0.15/0.37 fof(f131,plain,(
% 0.15/0.37 $false|~spl0_2|~spl0_11|~spl0_1),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f130])).
% 0.15/0.37 fof(f132,plain,(
% 0.15/0.37 ~spl0_2|~spl0_11|~spl0_1),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f131])).
% 0.15/0.37 fof(f133,plain,(
% 0.15/0.37 spl0_13 <=> multiply(sk_c4,inverse(sk_c4))=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f135,plain,(
% 0.15/0.37 ~multiply(sk_c4,inverse(sk_c4))=sk_c8|spl0_13),
% 0.15/0.37 inference(component_clause,[status(thm)],[f133])).
% 0.15/0.37 fof(f136,plain,(
% 0.15/0.37 spl0_14 <=> multiply(sk_c8,sk_c7)=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f138,plain,(
% 0.15/0.37 ~multiply(sk_c8,sk_c7)=sk_c8|spl0_14),
% 0.15/0.37 inference(component_clause,[status(thm)],[f136])).
% 0.15/0.37 fof(f139,plain,(
% 0.15/0.37 ~multiply(sk_c4,inverse(sk_c4))=sk_c8|~multiply(sk_c8,sk_c7)=sk_c8|~spl0_10|~spl0_1),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f64,f128])).
% 0.15/0.37 fof(f140,plain,(
% 0.15/0.37 ~spl0_13|~spl0_14|~spl0_10|~spl0_1),
% 0.15/0.37 inference(split_clause,[status(thm)],[f139,f133,f136,f115,f63])).
% 0.15/0.37 fof(f146,plain,(
% 0.15/0.37 spl0_16 <=> multiply(sk_c1,inverse(sk_c1))=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f148,plain,(
% 0.15/0.37 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|spl0_16),
% 0.15/0.37 inference(component_clause,[status(thm)],[f146])).
% 0.15/0.37 fof(f149,plain,(
% 0.15/0.37 ~multiply(sk_c1,inverse(sk_c1))=sk_c8|~multiply(sk_c2,sk_c7)=sk_c8|~spl0_10|~spl0_6),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f84,f128])).
% 0.15/0.37 fof(f150,plain,(
% 0.15/0.37 ~spl0_16|~spl0_7|~spl0_10|~spl0_6),
% 0.15/0.37 inference(split_clause,[status(thm)],[f149,f146,f91,f115,f83])).
% 0.15/0.37 fof(f156,plain,(
% 0.15/0.37 ~multiply(sk_c1,sk_c2)=sk_c8|~spl0_6|spl0_16),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f84,f148])).
% 0.15/0.37 fof(f157,plain,(
% 0.15/0.37 ~sk_c8=sk_c8|~spl0_0|~spl0_6|spl0_16),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f61,f156])).
% 0.15/0.37 fof(f158,plain,(
% 0.15/0.37 $false|~spl0_0|~spl0_6|spl0_16),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f157])).
% 0.15/0.37 fof(f159,plain,(
% 0.15/0.37 ~spl0_0|~spl0_6|spl0_16),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f158])).
% 0.15/0.37 fof(f161,plain,(
% 0.15/0.37 ~multiply(sk_c3,sk_c7)=sk_c8|~spl0_11|~spl0_8),
% 0.15/0.37 inference(resolution,[status(thm)],[f119,f100])).
% 0.15/0.37 fof(f162,plain,(
% 0.15/0.37 ~sk_c8=sk_c8|~spl0_9|~spl0_11|~spl0_8),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f108,f161])).
% 0.15/0.37 fof(f163,plain,(
% 0.15/0.37 $false|~spl0_9|~spl0_11|~spl0_8),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f162])).
% 0.15/0.37 fof(f164,plain,(
% 0.15/0.37 ~spl0_9|~spl0_11|~spl0_8),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f163])).
% 0.15/0.37 fof(f173,plain,(
% 0.15/0.37 ~multiply(sk_c4,sk_c8)=sk_c8|~spl0_1|spl0_13),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f64,f135])).
% 0.15/0.37 fof(f206,plain,(
% 0.15/0.37 multiply(sk_c8,sk_c5)=identity|~spl0_5),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f80,f31])).
% 0.15/0.37 fof(f209,plain,(
% 0.15/0.37 spl0_18 <=> multiply(sk_c7,inverse(sk_c7))=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f212,plain,(
% 0.15/0.37 spl0_19 <=> identity=sk_c8),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f214,plain,(
% 0.15/0.37 ~identity=sk_c8|spl0_19),
% 0.15/0.37 inference(component_clause,[status(thm)],[f212])).
% 0.15/0.37 fof(f215,plain,(
% 0.15/0.37 ~multiply(sk_c7,inverse(sk_c7))=sk_c8|~identity=sk_c8|~spl0_10),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f31,f128])).
% 0.15/0.37 fof(f216,plain,(
% 0.15/0.37 ~spl0_18|~spl0_19|~spl0_10),
% 0.15/0.37 inference(split_clause,[status(thm)],[f215,f209,f212,f115])).
% 0.15/0.37 fof(f217,plain,(
% 0.15/0.37 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.15/0.37 fof(f218,plain,(
% 0.15/0.37 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f30,f217])).
% 0.15/0.37 fof(f220,plain,(
% 0.15/0.37 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c5,X0))|~spl0_5)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f206,f32])).
% 0.15/0.37 fof(f221,plain,(
% 0.15/0.37 ![X0]: (X0=multiply(sk_c8,multiply(sk_c5,X0))|~spl0_5)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f30,f220])).
% 0.15/0.37 fof(f234,plain,(
% 0.15/0.37 sk_c8=multiply(sk_c8,sk_c6)|~spl0_5|~spl0_4),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f76,f221])).
% 0.15/0.37 fof(f235,plain,(
% 0.15/0.37 sk_c8=sk_c7|~spl0_3|~spl0_5|~spl0_4),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f72,f234])).
% 0.15/0.37 fof(f264,plain,(
% 0.15/0.37 multiply(sk_c4,sk_c8)=sk_c8|~spl0_3|~spl0_5|~spl0_4|~spl0_2),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f235,f68])).
% 0.15/0.37 fof(f265,plain,(
% 0.15/0.37 $false|~spl0_1|spl0_13|~spl0_3|~spl0_5|~spl0_4|~spl0_2),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f264,f173])).
% 0.15/0.37 fof(f266,plain,(
% 0.15/0.37 ~spl0_1|spl0_13|~spl0_3|~spl0_5|~spl0_4|~spl0_2),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f265])).
% 0.15/0.37 fof(f273,plain,(
% 0.15/0.37 ~multiply(sk_c8,sk_c8)=sk_c8|~spl0_3|~spl0_5|~spl0_4|spl0_14),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f235,f138])).
% 0.15/0.37 fof(f340,plain,(
% 0.15/0.37 sk_c8=multiply(inverse(sk_c4),sk_c8)|~spl0_3|~spl0_5|~spl0_4|~spl0_2),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f264,f218])).
% 0.15/0.37 fof(f341,plain,(
% 0.15/0.37 sk_c8=multiply(sk_c8,sk_c8)|~spl0_1|~spl0_3|~spl0_5|~spl0_4|~spl0_2),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f64,f340])).
% 0.15/0.37 fof(f342,plain,(
% 0.15/0.37 $false|spl0_14|~spl0_1|~spl0_3|~spl0_5|~spl0_4|~spl0_2),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f341,f273])).
% 0.15/0.37 fof(f343,plain,(
% 0.15/0.37 spl0_14|~spl0_1|~spl0_3|~spl0_5|~spl0_4|~spl0_2),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f342])).
% 0.15/0.37 fof(f362,plain,(
% 0.15/0.37 sk_c2=multiply(inverse(sk_c1),sk_c8)|~spl0_0),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f61,f218])).
% 0.15/0.37 fof(f363,plain,(
% 0.15/0.37 sk_c2=multiply(sk_c2,sk_c8)|~spl0_6|~spl0_0),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f84,f362])).
% 0.15/0.37 fof(f370,plain,(
% 0.15/0.37 sk_c8=multiply(inverse(sk_c2),sk_c2)|~spl0_6|~spl0_0),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f363,f218])).
% 0.15/0.37 fof(f371,plain,(
% 0.15/0.37 sk_c8=identity|~spl0_6|~spl0_0),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f31,f370])).
% 0.15/0.37 fof(f401,plain,(
% 0.15/0.37 $false|spl0_19|~spl0_6|~spl0_0),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f371,f214])).
% 0.15/0.37 fof(f402,plain,(
% 0.15/0.37 spl0_19|~spl0_6|~spl0_0),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f401])).
% 0.15/0.37 fof(f431,plain,(
% 0.15/0.37 multiply(sk_c3,sk_c7)=identity|~spl0_6|~spl0_0|~spl0_9),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f371,f108])).
% 0.15/0.37 fof(f435,plain,(
% 0.15/0.37 inverse(sk_c3)=identity|~spl0_6|~spl0_0|~spl0_8),
% 0.15/0.37 inference(backward_demodulation,[status(thm)],[f371,f100])).
% 0.15/0.37 fof(f438,plain,(
% 0.15/0.37 ![X0]: (X0=multiply(identity,multiply(sk_c3,X0))|~spl0_6|~spl0_0|~spl0_8)),
% 0.15/0.37 inference(paramodulation,[status(thm)],[f435,f218])).
% 0.15/0.37 fof(f439,plain,(
% 0.15/0.37 ![X0]: (X0=multiply(sk_c3,X0)|~spl0_6|~spl0_0|~spl0_8)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f30,f438])).
% 0.15/0.37 fof(f449,plain,(
% 0.15/0.37 sk_c7=identity|~spl0_8|~spl0_6|~spl0_0|~spl0_9),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f439,f431])).
% 0.15/0.37 fof(f473,plain,(
% 0.15/0.37 ![X0]: (~multiply(identity,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_6|~spl0_0|~spl0_12)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f371,f125])).
% 0.15/0.37 fof(f474,plain,(
% 0.15/0.37 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_6|~spl0_0|~spl0_12)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f30,f473])).
% 0.15/0.37 fof(f475,plain,(
% 0.15/0.37 ![X0]: (~multiply(X0,identity)=sk_c7|~inverse(X0)=sk_c8|~spl0_6|~spl0_0|~spl0_12)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f371,f474])).
% 0.15/0.37 fof(f476,plain,(
% 0.15/0.37 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c8|~spl0_8|~spl0_9|~spl0_6|~spl0_0|~spl0_12)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f449,f475])).
% 0.15/0.37 fof(f477,plain,(
% 0.15/0.37 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~spl0_8|~spl0_9|~spl0_6|~spl0_0|~spl0_12)),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f371,f476])).
% 0.15/0.37 fof(f478,plain,(
% 0.15/0.37 ~multiply(sk_c3,identity)=identity|~spl0_9|~spl0_12|~spl0_6|~spl0_0|~spl0_8),
% 0.15/0.37 inference(resolution,[status(thm)],[f477,f435])).
% 0.15/0.37 fof(f479,plain,(
% 0.15/0.37 ~identity=identity|~spl0_9|~spl0_12|~spl0_6|~spl0_0|~spl0_8),
% 0.15/0.37 inference(forward_demodulation,[status(thm)],[f439,f478])).
% 0.15/0.37 fof(f480,plain,(
% 0.15/0.37 $false|~spl0_9|~spl0_12|~spl0_6|~spl0_0|~spl0_8),
% 0.15/0.37 inference(trivial_equality_resolution,[status(esa)],[f479])).
% 0.15/0.37 fof(f481,plain,(
% 0.15/0.37 ~spl0_9|~spl0_12|~spl0_6|~spl0_0|~spl0_8),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f480])).
% 0.15/0.37 fof(f482,plain,(
% 0.15/0.37 $false),
% 0.15/0.37 inference(sat_refutation,[status(thm)],[f66,f70,f74,f78,f82,f86,f87,f88,f89,f90,f94,f95,f96,f97,f98,f102,f103,f104,f105,f106,f110,f111,f112,f113,f114,f124,f127,f132,f140,f150,f159,f164,f216,f266,f343,f402,f481])).
% 0.15/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.37 % Elapsed time: 0.059473 seconds
% 0.15/0.37 % CPU time: 0.356481 seconds
% 0.15/0.37 % Total memory used: 65.500 MB
% 0.15/0.37 % Net memory used: 64.911 MB
%------------------------------------------------------------------------------