TSTP Solution File: GRP302-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP302-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:11:16 EDT 2023
% Result : Unsatisfiable 0.20s 0.41s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP302-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:23:05 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.20/0.41 % Refutation found
% 0.20/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.41 fof(f1,axiom,(
% 0.20/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f2,axiom,(
% 0.20/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f3,axiom,(
% 0.20/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f4,negated_conjecture,(
% 0.20/0.41 multiply(sk_c8,sk_c7) = sk_c6 ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f5,negated_conjecture,(
% 0.20/0.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f6,negated_conjecture,(
% 0.20/0.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f7,negated_conjecture,(
% 0.20/0.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f8,negated_conjecture,(
% 0.20/0.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c4 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f9,negated_conjecture,(
% 0.20/0.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f10,negated_conjecture,(
% 0.20/0.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c4 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f11,negated_conjecture,(
% 0.20/0.41 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f12,negated_conjecture,(
% 0.20/0.41 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f13,negated_conjecture,(
% 0.20/0.41 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f14,negated_conjecture,(
% 0.20/0.41 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c4 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f15,negated_conjecture,(
% 0.20/0.41 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f16,negated_conjecture,(
% 0.20/0.41 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c4 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f17,negated_conjecture,(
% 0.20/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| inverse(sk_c8) = sk_c7 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f18,negated_conjecture,(
% 0.20/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f19,negated_conjecture,(
% 0.20/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f20,negated_conjecture,(
% 0.20/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| inverse(sk_c5) = sk_c4 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f21,negated_conjecture,(
% 0.20/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f22,negated_conjecture,(
% 0.20/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c5,sk_c8) = sk_c4 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f23,negated_conjecture,(
% 0.20/0.41 ( inverse(sk_c2) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f24,negated_conjecture,(
% 0.20/0.41 ( inverse(sk_c2) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f25,negated_conjecture,(
% 0.20/0.41 ( inverse(sk_c2) = sk_c8| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f26,negated_conjecture,(
% 0.20/0.41 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c4 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f27,negated_conjecture,(
% 0.20/0.41 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f28,negated_conjecture,(
% 0.20/0.41 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c4 ) ),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f29,negated_conjecture,(
% 0.20/0.41 (![X3,X4,X1,X2,X5]: (( multiply(sk_c8,sk_c7) != sk_c6| inverse(X3) != sk_c8| multiply(X3,sk_c7) != sk_c8| multiply(X4,sk_c8) != sk_c6| inverse(X4) != sk_c8| inverse(sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| inverse(X2) != X5| inverse(X5) != sk_c8| multiply(X2,sk_c8) != X5 ) ))),
% 0.20/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.41 fof(f30,plain,(
% 0.20/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.41 fof(f31,plain,(
% 0.20/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.41 fof(f32,plain,(
% 0.20/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.41 fof(f33,plain,(
% 0.20/0.41 multiply(sk_c8,sk_c7)=sk_c6),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.41 fof(f34,plain,(
% 0.20/0.41 inverse(sk_c1)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.41 fof(f35,plain,(
% 0.20/0.41 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.41 fof(f36,plain,(
% 0.20/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c7)=sk_c8),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.41 fof(f37,plain,(
% 0.20/0.41 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c4),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.41 fof(f38,plain,(
% 0.20/0.41 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.41 fof(f39,plain,(
% 0.20/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c4),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.41 fof(f40,plain,(
% 0.20/0.41 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f11])).
% 0.20/0.41 fof(f41,plain,(
% 0.20/0.41 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.41 fof(f42,plain,(
% 0.20/0.41 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c3,sk_c7)=sk_c8),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f13])).
% 0.20/0.41 fof(f43,plain,(
% 0.20/0.41 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c4),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.41 fof(f44,plain,(
% 0.20/0.41 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f15])).
% 0.20/0.41 fof(f45,plain,(
% 0.20/0.41 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c4),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.41 fof(f46,plain,(
% 0.20/0.41 multiply(sk_c2,sk_c8)=sk_c6|inverse(sk_c8)=sk_c7),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.41 fof(f47,plain,(
% 0.20/0.41 multiply(sk_c2,sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f18])).
% 0.20/0.41 fof(f48,plain,(
% 0.20/0.41 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c3,sk_c7)=sk_c8),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.41 fof(f49,plain,(
% 0.20/0.41 multiply(sk_c2,sk_c8)=sk_c6|inverse(sk_c5)=sk_c4),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.41 fof(f50,plain,(
% 0.20/0.41 multiply(sk_c2,sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f21])).
% 0.20/0.41 fof(f51,plain,(
% 0.20/0.41 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c5,sk_c8)=sk_c4),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.41 fof(f52,plain,(
% 0.20/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.41 fof(f53,plain,(
% 0.20/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f24])).
% 0.20/0.41 fof(f54,plain,(
% 0.20/0.41 inverse(sk_c2)=sk_c8|multiply(sk_c3,sk_c7)=sk_c8),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f25])).
% 0.20/0.41 fof(f55,plain,(
% 0.20/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c4),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.41 fof(f56,plain,(
% 0.20/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f27])).
% 0.20/0.41 fof(f57,plain,(
% 0.20/0.41 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c4),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f28])).
% 0.20/0.41 fof(f58,plain,(
% 0.20/0.41 ![X2,X5]: ((((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c8,sk_c7)=sk_c6|~inverse(X3)=sk_c8)|~multiply(X3,sk_c7)=sk_c8))|~multiply(X4,sk_c8)=sk_c6)|~inverse(X4)=sk_c8))|~inverse(sk_c8)=sk_c7)|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~inverse(X2)=X5)|~inverse(X5)=sk_c8)|~multiply(X2,sk_c8)=X5)),
% 0.20/0.41 inference(miniscoping,[status(esa)],[f29])).
% 0.20/0.41 fof(f59,plain,(
% 0.20/0.41 ![X0,X1,X2,X3,X4]: (~multiply(sk_c8,sk_c7)=sk_c6|~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~multiply(X1,sk_c8)=sk_c6|~inverse(X1)=sk_c8|~inverse(sk_c8)=sk_c7|~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8|~inverse(X3)=X4|~inverse(X4)=sk_c8|~multiply(X3,sk_c8)=X4)),
% 0.20/0.41 inference(cnf_transformation,[status(esa)],[f58])).
% 0.20/0.41 fof(f60,plain,(
% 0.20/0.41 spl0_0 <=> inverse(sk_c1)=sk_c8),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f61,plain,(
% 0.20/0.41 inverse(sk_c1)=sk_c8|~spl0_0),
% 0.20/0.41 inference(component_clause,[status(thm)],[f60])).
% 0.20/0.41 fof(f63,plain,(
% 0.20/0.41 spl0_1 <=> inverse(sk_c8)=sk_c7),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f64,plain,(
% 0.20/0.41 inverse(sk_c8)=sk_c7|~spl0_1),
% 0.20/0.41 inference(component_clause,[status(thm)],[f63])).
% 0.20/0.41 fof(f66,plain,(
% 0.20/0.41 spl0_0|spl0_1),
% 0.20/0.41 inference(split_clause,[status(thm)],[f34,f60,f63])).
% 0.20/0.41 fof(f67,plain,(
% 0.20/0.41 spl0_2 <=> inverse(sk_c3)=sk_c8),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f68,plain,(
% 0.20/0.41 inverse(sk_c3)=sk_c8|~spl0_2),
% 0.20/0.41 inference(component_clause,[status(thm)],[f67])).
% 0.20/0.41 fof(f70,plain,(
% 0.20/0.41 spl0_0|spl0_2),
% 0.20/0.41 inference(split_clause,[status(thm)],[f35,f60,f67])).
% 0.20/0.41 fof(f71,plain,(
% 0.20/0.41 spl0_3 <=> multiply(sk_c3,sk_c7)=sk_c8),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f72,plain,(
% 0.20/0.41 multiply(sk_c3,sk_c7)=sk_c8|~spl0_3),
% 0.20/0.41 inference(component_clause,[status(thm)],[f71])).
% 0.20/0.41 fof(f74,plain,(
% 0.20/0.41 spl0_0|spl0_3),
% 0.20/0.41 inference(split_clause,[status(thm)],[f36,f60,f71])).
% 0.20/0.41 fof(f75,plain,(
% 0.20/0.41 spl0_4 <=> inverse(sk_c5)=sk_c4),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f76,plain,(
% 0.20/0.41 inverse(sk_c5)=sk_c4|~spl0_4),
% 0.20/0.41 inference(component_clause,[status(thm)],[f75])).
% 0.20/0.41 fof(f78,plain,(
% 0.20/0.41 spl0_0|spl0_4),
% 0.20/0.41 inference(split_clause,[status(thm)],[f37,f60,f75])).
% 0.20/0.41 fof(f79,plain,(
% 0.20/0.41 spl0_5 <=> inverse(sk_c4)=sk_c8),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f82,plain,(
% 0.20/0.41 spl0_0|spl0_5),
% 0.20/0.41 inference(split_clause,[status(thm)],[f38,f60,f79])).
% 0.20/0.41 fof(f83,plain,(
% 0.20/0.41 spl0_6 <=> multiply(sk_c5,sk_c8)=sk_c4),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f84,plain,(
% 0.20/0.41 multiply(sk_c5,sk_c8)=sk_c4|~spl0_6),
% 0.20/0.41 inference(component_clause,[status(thm)],[f83])).
% 0.20/0.41 fof(f86,plain,(
% 0.20/0.41 spl0_0|spl0_6),
% 0.20/0.41 inference(split_clause,[status(thm)],[f39,f60,f83])).
% 0.20/0.41 fof(f87,plain,(
% 0.20/0.41 spl0_7 <=> multiply(sk_c1,sk_c7)=sk_c8),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f88,plain,(
% 0.20/0.41 multiply(sk_c1,sk_c7)=sk_c8|~spl0_7),
% 0.20/0.41 inference(component_clause,[status(thm)],[f87])).
% 0.20/0.41 fof(f90,plain,(
% 0.20/0.41 spl0_7|spl0_1),
% 0.20/0.41 inference(split_clause,[status(thm)],[f40,f87,f63])).
% 0.20/0.41 fof(f91,plain,(
% 0.20/0.41 spl0_7|spl0_2),
% 0.20/0.41 inference(split_clause,[status(thm)],[f41,f87,f67])).
% 0.20/0.41 fof(f92,plain,(
% 0.20/0.41 spl0_7|spl0_3),
% 0.20/0.41 inference(split_clause,[status(thm)],[f42,f87,f71])).
% 0.20/0.41 fof(f93,plain,(
% 0.20/0.41 spl0_7|spl0_4),
% 0.20/0.41 inference(split_clause,[status(thm)],[f43,f87,f75])).
% 0.20/0.41 fof(f94,plain,(
% 0.20/0.41 spl0_7|spl0_5),
% 0.20/0.41 inference(split_clause,[status(thm)],[f44,f87,f79])).
% 0.20/0.41 fof(f95,plain,(
% 0.20/0.41 spl0_7|spl0_6),
% 0.20/0.41 inference(split_clause,[status(thm)],[f45,f87,f83])).
% 0.20/0.41 fof(f96,plain,(
% 0.20/0.41 spl0_8 <=> multiply(sk_c2,sk_c8)=sk_c6),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f97,plain,(
% 0.20/0.41 multiply(sk_c2,sk_c8)=sk_c6|~spl0_8),
% 0.20/0.41 inference(component_clause,[status(thm)],[f96])).
% 0.20/0.41 fof(f99,plain,(
% 0.20/0.41 spl0_8|spl0_1),
% 0.20/0.41 inference(split_clause,[status(thm)],[f46,f96,f63])).
% 0.20/0.41 fof(f100,plain,(
% 0.20/0.41 spl0_8|spl0_2),
% 0.20/0.41 inference(split_clause,[status(thm)],[f47,f96,f67])).
% 0.20/0.41 fof(f101,plain,(
% 0.20/0.41 spl0_8|spl0_3),
% 0.20/0.41 inference(split_clause,[status(thm)],[f48,f96,f71])).
% 0.20/0.41 fof(f102,plain,(
% 0.20/0.41 spl0_8|spl0_4),
% 0.20/0.41 inference(split_clause,[status(thm)],[f49,f96,f75])).
% 0.20/0.41 fof(f103,plain,(
% 0.20/0.41 spl0_8|spl0_5),
% 0.20/0.41 inference(split_clause,[status(thm)],[f50,f96,f79])).
% 0.20/0.41 fof(f104,plain,(
% 0.20/0.41 spl0_8|spl0_6),
% 0.20/0.41 inference(split_clause,[status(thm)],[f51,f96,f83])).
% 0.20/0.41 fof(f105,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(f106,plain,(
% 0.20/0.41 inverse(sk_c2)=sk_c8|~spl0_9),
% 0.20/0.41 inference(component_clause,[status(thm)],[f105])).
% 0.20/0.41 fof(f108,plain,(
% 0.20/0.41 spl0_9|spl0_1),
% 0.20/0.41 inference(split_clause,[status(thm)],[f52,f105,f63])).
% 0.20/0.41 fof(f109,plain,(
% 0.20/0.41 spl0_9|spl0_2),
% 0.20/0.41 inference(split_clause,[status(thm)],[f53,f105,f67])).
% 0.20/0.41 fof(f110,plain,(
% 0.20/0.41 spl0_9|spl0_3),
% 0.20/0.41 inference(split_clause,[status(thm)],[f54,f105,f71])).
% 0.20/0.41 fof(f111,plain,(
% 0.20/0.41 spl0_9|spl0_4),
% 0.20/0.41 inference(split_clause,[status(thm)],[f55,f105,f75])).
% 0.20/0.41 fof(f112,plain,(
% 0.20/0.41 spl0_9|spl0_5),
% 0.20/0.41 inference(split_clause,[status(thm)],[f56,f105,f79])).
% 0.20/0.41 fof(f113,plain,(
% 0.20/0.41 spl0_9|spl0_6),
% 0.20/0.41 inference(split_clause,[status(thm)],[f57,f105,f83])).
% 0.20/0.41 fof(f114,plain,(
% 0.20/0.41 spl0_10 <=> multiply(sk_c8,sk_c7)=sk_c6),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f116,plain,(
% 0.20/0.41 ~multiply(sk_c8,sk_c7)=sk_c6|spl0_10),
% 0.20/0.41 inference(component_clause,[status(thm)],[f114])).
% 0.20/0.41 fof(f117,plain,(
% 0.20/0.41 spl0_11 <=> ~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f118,plain,(
% 0.20/0.41 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~spl0_11)),
% 0.20/0.41 inference(component_clause,[status(thm)],[f117])).
% 0.20/0.41 fof(f120,plain,(
% 0.20/0.41 spl0_12 <=> ~multiply(X1,sk_c8)=sk_c6|~inverse(X1)=sk_c8),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f121,plain,(
% 0.20/0.41 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~spl0_12)),
% 0.20/0.41 inference(component_clause,[status(thm)],[f120])).
% 0.20/0.41 fof(f123,plain,(
% 0.20/0.41 spl0_13 <=> ~inverse(X3)=X4|~inverse(X4)=sk_c8|~multiply(X3,sk_c8)=X4),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f124,plain,(
% 0.20/0.41 ![X0,X1]: (~inverse(X0)=X1|~inverse(X1)=sk_c8|~multiply(X0,sk_c8)=X1|~spl0_13)),
% 0.20/0.41 inference(component_clause,[status(thm)],[f123])).
% 0.20/0.41 fof(f126,plain,(
% 0.20/0.41 ~spl0_10|spl0_11|spl0_12|~spl0_1|spl0_13),
% 0.20/0.41 inference(split_clause,[status(thm)],[f59,f114,f117,f120,f63,f123])).
% 0.20/0.41 fof(f127,plain,(
% 0.20/0.41 ~sk_c6=sk_c6|spl0_10),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f33,f116])).
% 0.20/0.41 fof(f128,plain,(
% 0.20/0.41 $false|spl0_10),
% 0.20/0.41 inference(trivial_equality_resolution,[status(esa)],[f127])).
% 0.20/0.41 fof(f129,plain,(
% 0.20/0.41 spl0_10),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f128])).
% 0.20/0.41 fof(f130,plain,(
% 0.20/0.41 ![X0]: (~inverse(inverse(X0))=sk_c8|~multiply(X0,sk_c8)=inverse(X0)|~spl0_13)),
% 0.20/0.41 inference(destructive_equality_resolution,[status(esa)],[f124])).
% 0.20/0.41 fof(f131,plain,(
% 0.20/0.41 spl0_14 <=> inverse(sk_c8)=sk_c8),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f139,plain,(
% 0.20/0.41 spl0_16 <=> multiply(sk_c5,sk_c8)=inverse(sk_c5)),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f141,plain,(
% 0.20/0.41 ~multiply(sk_c5,sk_c8)=inverse(sk_c5)|spl0_16),
% 0.20/0.41 inference(component_clause,[status(thm)],[f139])).
% 0.20/0.41 fof(f142,plain,(
% 0.20/0.41 ~inverse(sk_c4)=sk_c8|~multiply(sk_c5,sk_c8)=inverse(sk_c5)|~spl0_13|~spl0_4),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f76,f130])).
% 0.20/0.41 fof(f143,plain,(
% 0.20/0.41 ~spl0_5|~spl0_16|~spl0_13|~spl0_4),
% 0.20/0.41 inference(split_clause,[status(thm)],[f142,f79,f139,f123,f75])).
% 0.20/0.41 fof(f149,plain,(
% 0.20/0.41 spl0_18 <=> multiply(sk_c1,sk_c8)=inverse(sk_c1)),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f152,plain,(
% 0.20/0.41 ~inverse(sk_c8)=sk_c8|~multiply(sk_c1,sk_c8)=inverse(sk_c1)|~spl0_13|~spl0_0),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f61,f130])).
% 0.20/0.41 fof(f153,plain,(
% 0.20/0.41 ~spl0_14|~spl0_18|~spl0_13|~spl0_0),
% 0.20/0.41 inference(split_clause,[status(thm)],[f152,f131,f149,f123,f60])).
% 0.20/0.41 fof(f154,plain,(
% 0.20/0.41 spl0_19 <=> multiply(sk_c2,sk_c8)=inverse(sk_c2)),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f157,plain,(
% 0.20/0.41 ~inverse(sk_c8)=sk_c8|~multiply(sk_c2,sk_c8)=inverse(sk_c2)|~spl0_13|~spl0_9),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f106,f130])).
% 0.20/0.41 fof(f158,plain,(
% 0.20/0.41 ~spl0_14|~spl0_19|~spl0_13|~spl0_9),
% 0.20/0.41 inference(split_clause,[status(thm)],[f157,f131,f154,f123,f105])).
% 0.20/0.41 fof(f162,plain,(
% 0.20/0.41 ~sk_c4=inverse(sk_c5)|~spl0_6|spl0_16),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f84,f141])).
% 0.20/0.41 fof(f163,plain,(
% 0.20/0.41 ~inverse(sk_c2)=sk_c8|~spl0_12|~spl0_8),
% 0.20/0.41 inference(resolution,[status(thm)],[f121,f97])).
% 0.20/0.41 fof(f164,plain,(
% 0.20/0.41 ~sk_c8=sk_c8|~spl0_9|~spl0_12|~spl0_8),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f106,f163])).
% 0.20/0.41 fof(f165,plain,(
% 0.20/0.41 $false|~spl0_9|~spl0_12|~spl0_8),
% 0.20/0.41 inference(trivial_equality_resolution,[status(esa)],[f164])).
% 0.20/0.41 fof(f166,plain,(
% 0.20/0.41 ~spl0_9|~spl0_12|~spl0_8),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f165])).
% 0.20/0.41 fof(f168,plain,(
% 0.20/0.41 $false|~spl0_6|spl0_16|~spl0_4),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f76,f162])).
% 0.20/0.41 fof(f169,plain,(
% 0.20/0.41 ~spl0_6|spl0_16|~spl0_4),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f168])).
% 0.20/0.41 fof(f172,plain,(
% 0.20/0.41 spl0_20 <=> sk_c8=sk_c8),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f174,plain,(
% 0.20/0.41 ~sk_c8=sk_c8|spl0_20),
% 0.20/0.41 inference(component_clause,[status(thm)],[f172])).
% 0.20/0.41 fof(f175,plain,(
% 0.20/0.41 spl0_21 <=> multiply(sk_c2,sk_c7)=sk_c8),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f177,plain,(
% 0.20/0.41 ~multiply(sk_c2,sk_c7)=sk_c8|spl0_21),
% 0.20/0.41 inference(component_clause,[status(thm)],[f175])).
% 0.20/0.41 fof(f178,plain,(
% 0.20/0.41 ~sk_c8=sk_c8|~multiply(sk_c2,sk_c7)=sk_c8|~spl0_11|~spl0_9),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f106,f118])).
% 0.20/0.41 fof(f179,plain,(
% 0.20/0.41 ~spl0_20|~spl0_21|~spl0_11|~spl0_9),
% 0.20/0.41 inference(split_clause,[status(thm)],[f178,f172,f175,f117,f105])).
% 0.20/0.41 fof(f180,plain,(
% 0.20/0.41 $false|spl0_20),
% 0.20/0.41 inference(trivial_equality_resolution,[status(esa)],[f174])).
% 0.20/0.41 fof(f181,plain,(
% 0.20/0.41 spl0_20),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f180])).
% 0.20/0.41 fof(f190,plain,(
% 0.20/0.41 ~multiply(sk_c3,sk_c7)=sk_c8|~spl0_2|~spl0_11),
% 0.20/0.41 inference(resolution,[status(thm)],[f68,f118])).
% 0.20/0.41 fof(f191,plain,(
% 0.20/0.41 ~sk_c8=sk_c8|~spl0_3|~spl0_2|~spl0_11),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f72,f190])).
% 0.20/0.41 fof(f192,plain,(
% 0.20/0.41 $false|~spl0_3|~spl0_2|~spl0_11),
% 0.20/0.41 inference(trivial_equality_resolution,[status(esa)],[f191])).
% 0.20/0.41 fof(f193,plain,(
% 0.20/0.41 ~spl0_3|~spl0_2|~spl0_11),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f192])).
% 0.20/0.41 fof(f211,plain,(
% 0.20/0.41 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c2,multiply(sk_c8,X0))|~spl0_8)),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f97,f32])).
% 0.20/0.41 fof(f212,plain,(
% 0.20/0.41 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~spl0_7)),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f88,f32])).
% 0.20/0.41 fof(f215,plain,(
% 0.20/0.41 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c8,multiply(sk_c7,X0)))),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f33,f32])).
% 0.20/0.41 fof(f248,plain,(
% 0.20/0.41 multiply(sk_c8,sk_c1)=identity|~spl0_0),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f61,f31])).
% 0.20/0.41 fof(f249,plain,(
% 0.20/0.41 multiply(sk_c8,sk_c2)=identity|~spl0_9),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f106,f31])).
% 0.20/0.41 fof(f250,plain,(
% 0.20/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.20/0.41 fof(f251,plain,(
% 0.20/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f30,f250])).
% 0.20/0.41 fof(f253,plain,(
% 0.20/0.41 multiply(sk_c6,sk_c1)=multiply(sk_c2,identity)|~spl0_8|~spl0_0),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f248,f211])).
% 0.20/0.41 fof(f254,plain,(
% 0.20/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c1,X0))|~spl0_0)),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f248,f32])).
% 0.20/0.41 fof(f255,plain,(
% 0.20/0.41 ![X0]: (X0=multiply(sk_c8,multiply(sk_c1,X0))|~spl0_0)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f30,f254])).
% 0.20/0.41 fof(f259,plain,(
% 0.20/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c2,X0))|~spl0_9)),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f249,f32])).
% 0.20/0.41 fof(f260,plain,(
% 0.20/0.41 ![X0]: (X0=multiply(sk_c8,multiply(sk_c2,X0))|~spl0_9)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f30,f259])).
% 0.20/0.41 fof(f264,plain,(
% 0.20/0.41 ![X0]: (multiply(multiply(sk_c6,sk_c1),X0)=multiply(sk_c2,multiply(identity,X0))|~spl0_8|~spl0_0)),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f253,f32])).
% 0.20/0.41 fof(f265,plain,(
% 0.20/0.41 ![X0]: (multiply(sk_c6,multiply(sk_c1,X0))=multiply(sk_c2,multiply(identity,X0))|~spl0_8|~spl0_0)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f32,f264])).
% 0.20/0.41 fof(f266,plain,(
% 0.20/0.41 ![X0]: (multiply(sk_c6,multiply(sk_c1,X0))=multiply(sk_c2,X0)|~spl0_8|~spl0_0)),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f30,f265])).
% 0.20/0.41 fof(f284,plain,(
% 0.20/0.41 multiply(sk_c6,sk_c8)=multiply(sk_c2,sk_c7)|~spl0_8|~spl0_0|~spl0_7),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f88,f266])).
% 0.20/0.41 fof(f289,plain,(
% 0.20/0.41 ~multiply(sk_c6,sk_c8)=sk_c8|~spl0_8|~spl0_0|~spl0_7|spl0_21),
% 0.20/0.41 inference(backward_demodulation,[status(thm)],[f284,f177])).
% 0.20/0.41 fof(f290,plain,(
% 0.20/0.41 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,multiply(sk_c8,X0))|~spl0_0|~spl0_7)),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f212,f255])).
% 0.20/0.41 fof(f291,plain,(
% 0.20/0.41 sk_c7=multiply(sk_c8,sk_c8)|~spl0_0|~spl0_7),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f88,f255])).
% 0.20/0.41 fof(f300,plain,(
% 0.20/0.41 sk_c8=multiply(sk_c8,sk_c6)|~spl0_9|~spl0_8),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f97,f260])).
% 0.20/0.41 fof(f326,plain,(
% 0.20/0.41 multiply(sk_c6,sk_c6)=multiply(sk_c2,sk_c8)|~spl0_9|~spl0_8),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f300,f211])).
% 0.20/0.41 fof(f327,plain,(
% 0.20/0.41 multiply(sk_c6,sk_c6)=sk_c6|~spl0_9|~spl0_8),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f97,f326])).
% 0.20/0.41 fof(f357,plain,(
% 0.20/0.41 multiply(sk_c7,sk_c8)=multiply(sk_c8,sk_c7)|~spl0_0|~spl0_7),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f291,f290])).
% 0.20/0.41 fof(f358,plain,(
% 0.20/0.41 multiply(sk_c7,sk_c8)=sk_c6|~spl0_0|~spl0_7),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f33,f357])).
% 0.20/0.41 fof(f359,plain,(
% 0.20/0.41 multiply(sk_c7,sk_c2)=multiply(sk_c8,identity)|~spl0_0|~spl0_7|~spl0_9),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f249,f290])).
% 0.20/0.41 fof(f388,plain,(
% 0.20/0.41 multiply(sk_c6,sk_c8)=multiply(sk_c8,sk_c6)|~spl0_0|~spl0_7),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f358,f215])).
% 0.20/0.41 fof(f389,plain,(
% 0.20/0.41 multiply(sk_c6,sk_c8)=sk_c8|~spl0_9|~spl0_8|~spl0_0|~spl0_7),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f300,f388])).
% 0.20/0.41 fof(f390,plain,(
% 0.20/0.41 $false|spl0_21|~spl0_9|~spl0_8|~spl0_0|~spl0_7),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f389,f289])).
% 0.20/0.41 fof(f391,plain,(
% 0.20/0.41 spl0_21|~spl0_9|~spl0_8|~spl0_0|~spl0_7),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f390])).
% 0.20/0.41 fof(f403,plain,(
% 0.20/0.41 multiply(sk_c7,sk_c8)=identity|~spl0_1),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f64,f31])).
% 0.20/0.41 fof(f405,plain,(
% 0.20/0.41 spl0_26 <=> inverse(sk_c7)=sk_c8),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f407,plain,(
% 0.20/0.41 ~inverse(sk_c7)=sk_c8|spl0_26),
% 0.20/0.41 inference(component_clause,[status(thm)],[f405])).
% 0.20/0.41 fof(f408,plain,(
% 0.20/0.41 spl0_27 <=> multiply(sk_c8,sk_c8)=inverse(sk_c8)),
% 0.20/0.41 introduced(split_symbol_definition)).
% 0.20/0.41 fof(f410,plain,(
% 0.20/0.41 ~multiply(sk_c8,sk_c8)=inverse(sk_c8)|spl0_27),
% 0.20/0.41 inference(component_clause,[status(thm)],[f408])).
% 0.20/0.41 fof(f411,plain,(
% 0.20/0.41 ~inverse(sk_c7)=sk_c8|~multiply(sk_c8,sk_c8)=inverse(sk_c8)|~spl0_13|~spl0_1),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f64,f130])).
% 0.20/0.41 fof(f412,plain,(
% 0.20/0.41 ~spl0_26|~spl0_27|~spl0_13|~spl0_1),
% 0.20/0.41 inference(split_clause,[status(thm)],[f411,f405,f408,f123,f63])).
% 0.20/0.41 fof(f494,plain,(
% 0.20/0.41 multiply(sk_c8,sk_c3)=identity|~spl0_2),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f68,f31])).
% 0.20/0.41 fof(f577,plain,(
% 0.20/0.41 sk_c6=multiply(inverse(sk_c6),sk_c6)|~spl0_9|~spl0_8),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f327,f251])).
% 0.20/0.41 fof(f578,plain,(
% 0.20/0.41 sk_c6=identity|~spl0_9|~spl0_8),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f31,f577])).
% 0.20/0.41 fof(f579,plain,(
% 0.20/0.41 sk_c2=multiply(inverse(sk_c7),multiply(sk_c8,identity))|~spl0_0|~spl0_7|~spl0_9),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f359,f251])).
% 0.20/0.41 fof(f584,plain,(
% 0.20/0.41 sk_c8=multiply(inverse(sk_c7),sk_c6)|~spl0_0|~spl0_7),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f358,f251])).
% 0.20/0.41 fof(f585,plain,(
% 0.20/0.41 sk_c8=multiply(inverse(sk_c7),identity)|~spl0_9|~spl0_8|~spl0_0|~spl0_7),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f578,f584])).
% 0.20/0.41 fof(f587,plain,(
% 0.20/0.41 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f251,f251])).
% 0.20/0.41 fof(f588,plain,(
% 0.20/0.41 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f31,f251])).
% 0.20/0.41 fof(f589,plain,(
% 0.20/0.41 ![X0]: (X0=multiply(X0,identity))),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f587,f588])).
% 0.20/0.41 fof(f602,plain,(
% 0.20/0.41 sk_c3=multiply(inverse(sk_c8),identity)|~spl0_2),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f494,f251])).
% 0.20/0.41 fof(f603,plain,(
% 0.20/0.41 sk_c3=inverse(sk_c8)|~spl0_2),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f589,f602])).
% 0.20/0.41 fof(f613,plain,(
% 0.20/0.41 sk_c2=multiply(inverse(sk_c8),identity)|~spl0_9),
% 0.20/0.41 inference(paramodulation,[status(thm)],[f249,f251])).
% 0.20/0.41 fof(f690,plain,(
% 0.20/0.41 sk_c8=inverse(sk_c7)|~spl0_9|~spl0_8|~spl0_0|~spl0_7),
% 0.20/0.41 inference(backward_demodulation,[status(thm)],[f589,f585])).
% 0.20/0.41 fof(f691,plain,(
% 0.20/0.41 $false|spl0_26|~spl0_9|~spl0_8|~spl0_0|~spl0_7),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f690,f407])).
% 0.20/0.41 fof(f692,plain,(
% 0.20/0.41 spl0_26|~spl0_9|~spl0_8|~spl0_0|~spl0_7),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f691])).
% 0.20/0.41 fof(f730,plain,(
% 0.20/0.41 sk_c3=sk_c7|~spl0_2|~spl0_1),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f603,f64])).
% 0.20/0.41 fof(f752,plain,(
% 0.20/0.41 inverse(sk_c7)=sk_c8|~spl0_1|~spl0_2),
% 0.20/0.41 inference(backward_demodulation,[status(thm)],[f730,f68])).
% 0.20/0.41 fof(f753,plain,(
% 0.20/0.41 multiply(sk_c8,sk_c7)=identity|~spl0_1|~spl0_2),
% 0.20/0.41 inference(backward_demodulation,[status(thm)],[f730,f494])).
% 0.20/0.41 fof(f754,plain,(
% 0.20/0.41 sk_c6=identity|~spl0_1|~spl0_2),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f33,f753])).
% 0.20/0.41 fof(f769,plain,(
% 0.20/0.41 ![X0]: (~multiply(X0,sk_c8)=identity|~inverse(X0)=sk_c8|~spl0_1|~spl0_2|~spl0_12)),
% 0.20/0.41 inference(backward_demodulation,[status(thm)],[f754,f121])).
% 0.20/0.41 fof(f772,plain,(
% 0.20/0.41 ~multiply(sk_c7,sk_c8)=identity|~spl0_12|~spl0_1|~spl0_2),
% 0.20/0.41 inference(resolution,[status(thm)],[f769,f752])).
% 0.20/0.41 fof(f773,plain,(
% 0.20/0.41 ~identity=identity|~spl0_12|~spl0_1|~spl0_2),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f403,f772])).
% 0.20/0.41 fof(f774,plain,(
% 0.20/0.41 $false|~spl0_12|~spl0_1|~spl0_2),
% 0.20/0.41 inference(trivial_equality_resolution,[status(esa)],[f773])).
% 0.20/0.41 fof(f775,plain,(
% 0.20/0.41 ~spl0_12|~spl0_1|~spl0_2),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f774])).
% 0.20/0.41 fof(f784,plain,(
% 0.20/0.41 sk_c2=multiply(sk_c8,multiply(sk_c8,identity))|~spl0_8|~spl0_0|~spl0_7|~spl0_9),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f690,f579])).
% 0.20/0.41 fof(f785,plain,(
% 0.20/0.41 sk_c2=multiply(sk_c7,identity)|~spl0_8|~spl0_0|~spl0_7|~spl0_9),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f290,f784])).
% 0.20/0.41 fof(f786,plain,(
% 0.20/0.41 sk_c2=sk_c7|~spl0_8|~spl0_0|~spl0_7|~spl0_9),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f589,f785])).
% 0.20/0.41 fof(f854,plain,(
% 0.20/0.41 ~sk_c7=inverse(sk_c8)|~spl0_0|~spl0_7|spl0_27),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f291,f410])).
% 0.20/0.41 fof(f858,plain,(
% 0.20/0.41 sk_c7=multiply(inverse(sk_c8),identity)|~spl0_8|~spl0_0|~spl0_7|~spl0_9),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f786,f613])).
% 0.20/0.41 fof(f859,plain,(
% 0.20/0.41 sk_c7=inverse(sk_c8)|~spl0_8|~spl0_0|~spl0_7|~spl0_9),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f589,f858])).
% 0.20/0.41 fof(f859,plain,(
% 0.20/0.41 sk_c7=inverse(sk_c8)|~spl0_8|~spl0_0|~spl0_7|~spl0_9),
% 0.20/0.41 inference(forward_demodulation,[status(thm)],[f589,f858])).
% 0.20/0.41 fof(f860,plain,(
% 0.20/0.41 $false|spl0_27|~spl0_8|~spl0_0|~spl0_7|~spl0_9),
% 0.20/0.41 inference(forward_subsumption_resolution,[status(thm)],[f859,f854])).
% 0.20/0.41 fof(f861,plain,(
% 0.20/0.41 spl0_27|~spl0_8|~spl0_0|~spl0_7|~spl0_9),
% 0.20/0.41 inference(contradiction_clause,[status(thm)],[f860])).
% 0.20/0.41 fof(f908,plain,(
% 0.20/0.41 spl0_1|~spl0_8|~spl0_0|~spl0_7|~spl0_9),
% 0.20/0.41 inference(split_clause,[status(thm)],[f859,f63,f96,f60,f87,f105])).
% 0.20/0.41 fof(f913,plain,(
% 0.20/0.41 $false),
% 0.20/0.41 inference(sat_refutation,[status(thm)],[f66,f70,f74,f78,f82,f86,f90,f91,f92,f93,f94,f95,f99,f100,f101,f102,f103,f104,f108,f109,f110,f111,f112,f113,f126,f129,f143,f153,f158,f166,f169,f179,f181,f193,f391,f412,f692,f775,f861,f908])).
% 0.20/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.43 % Elapsed time: 0.075269 seconds
% 0.20/0.43 % CPU time: 0.441889 seconds
% 0.20/0.43 % Memory used: 37.807 MB
%------------------------------------------------------------------------------