TSTP Solution File: GRP285-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP285-1 : 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 20:19:58 EDT 2024
% Result : Unsatisfiable 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP285-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:14:36 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.6.0
% 0.19/0.45 % Refutation found
% 0.19/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.45 fof(f1,axiom,(
% 0.19/0.45 (![X]: (multiply(identity,X) = X ))),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f2,axiom,(
% 0.19/0.45 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f3,axiom,(
% 0.19/0.45 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f6,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c9,sk_c8) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f7,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c9,sk_c8) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f8,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c9,sk_c8) = sk_c7| multiply(sk_c9,sk_c6) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f9,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c9,sk_c8) = sk_c7| multiply(sk_c5,sk_c9) = sk_c6 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f10,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c9,sk_c8) = sk_c7| inverse(sk_c5) = sk_c9 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f11,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f12,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f13,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f14,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c4) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f18,negated_conjecture,(
% 0.19/0.45 ( inverse(sk_c1) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f19,negated_conjecture,(
% 0.19/0.45 ( inverse(sk_c1) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f20,negated_conjecture,(
% 0.19/0.45 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f21,negated_conjecture,(
% 0.19/0.45 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f25,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c2,sk_c9) = sk_c7| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f26,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c2,sk_c9) = sk_c7| inverse(sk_c3) = sk_c9 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f27,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c2,sk_c9) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f28,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c2,sk_c9) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f29,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c2,sk_c9) = sk_c7| multiply(sk_c9,sk_c6) = sk_c7 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f30,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c2,sk_c9) = sk_c7| multiply(sk_c5,sk_c9) = sk_c6 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f31,negated_conjecture,(
% 0.19/0.45 ( multiply(sk_c2,sk_c9) = sk_c7| inverse(sk_c5) = sk_c9 ) ),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.45 fof(f32,negated_conjecture,(
% 0.19/0.45 (![X3,X4,X1,X2,X5,X6]: (( multiply(sk_c9,sk_c8) != sk_c7| multiply(X3,sk_c9) != sk_c8| inverse(X3) != sk_c9| multiply(X4,sk_c9) != sk_c7| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(X2,sk_c7) != sk_c8| inverse(X2) != sk_c7| multiply(sk_c9,X5) != sk_c7| multiply(X6,sk_c9) != X5| inverse(X6) != sk_c9 ) ))),
% 0.19/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.46 fof(f33,plain,(
% 0.19/0.46 ![X0]: (multiply(identity,X0)=X0)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f1])).
% 0.19/0.46 fof(f34,plain,(
% 0.19/0.46 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f2])).
% 0.19/0.46 fof(f35,plain,(
% 0.19/0.46 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.46 fof(f38,plain,(
% 0.19/0.46 multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f6])).
% 0.19/0.46 fof(f39,plain,(
% 0.19/0.46 multiply(sk_c9,sk_c8)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f7])).
% 0.19/0.46 fof(f40,plain,(
% 0.19/0.46 multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c9,sk_c6)=sk_c7),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f8])).
% 0.19/0.46 fof(f41,plain,(
% 0.19/0.46 multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c5,sk_c9)=sk_c6),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f9])).
% 0.19/0.46 fof(f42,plain,(
% 0.19/0.46 multiply(sk_c9,sk_c8)=sk_c7|inverse(sk_c5)=sk_c9),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f10])).
% 0.19/0.46 fof(f43,plain,(
% 0.19/0.46 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f11])).
% 0.19/0.46 fof(f44,plain,(
% 0.19/0.46 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f12])).
% 0.19/0.46 fof(f45,plain,(
% 0.19/0.46 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c4,sk_c7)=sk_c8),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f13])).
% 0.19/0.46 fof(f46,plain,(
% 0.19/0.46 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c4)=sk_c7),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f14])).
% 0.19/0.46 fof(f50,plain,(
% 0.19/0.46 inverse(sk_c1)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f18])).
% 0.19/0.46 fof(f51,plain,(
% 0.19/0.46 inverse(sk_c1)=sk_c9|inverse(sk_c3)=sk_c9),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f19])).
% 0.19/0.46 fof(f52,plain,(
% 0.19/0.46 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c7)=sk_c8),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f20])).
% 0.19/0.46 fof(f53,plain,(
% 0.19/0.46 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c7),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f21])).
% 0.19/0.46 fof(f57,plain,(
% 0.19/0.46 multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c3,sk_c9)=sk_c8),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f25])).
% 0.19/0.46 fof(f58,plain,(
% 0.19/0.46 multiply(sk_c2,sk_c9)=sk_c7|inverse(sk_c3)=sk_c9),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f26])).
% 0.19/0.46 fof(f59,plain,(
% 0.19/0.46 multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f27])).
% 0.19/0.46 fof(f60,plain,(
% 0.19/0.46 multiply(sk_c2,sk_c9)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f28])).
% 0.19/0.46 fof(f61,plain,(
% 0.19/0.46 multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c9,sk_c6)=sk_c7),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f29])).
% 0.19/0.46 fof(f62,plain,(
% 0.19/0.46 multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c5,sk_c9)=sk_c6),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f30])).
% 0.19/0.46 fof(f63,plain,(
% 0.19/0.46 multiply(sk_c2,sk_c9)=sk_c7|inverse(sk_c5)=sk_c9),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f31])).
% 0.19/0.46 fof(f64,plain,(
% 0.19/0.46 ![X6]: ((![X5]: (((![X2]: (((![X1]: ((((![X3]: ((~multiply(sk_c9,sk_c8)=sk_c7|~multiply(X3,sk_c9)=sk_c8)|~inverse(X3)=sk_c9))|(![X4]: ~multiply(X4,sk_c9)=sk_c7))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(X2,sk_c7)=sk_c8)|~inverse(X2)=sk_c7))|~multiply(sk_c9,X5)=sk_c7)|~multiply(X6,sk_c9)=X5))|~inverse(X6)=sk_c9)),
% 0.19/0.46 inference(miniscoping,[status(esa)],[f32])).
% 0.19/0.46 fof(f65,plain,(
% 0.19/0.46 ![X0,X1,X2,X3,X4,X5]: (~multiply(sk_c9,sk_c8)=sk_c7|~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~multiply(X1,sk_c9)=sk_c7|~multiply(X2,sk_c9)=sk_c8|~inverse(X2)=sk_c9|~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7|~multiply(sk_c9,X4)=sk_c7|~multiply(X5,sk_c9)=X4|~inverse(X5)=sk_c9)),
% 0.19/0.46 inference(cnf_transformation,[status(esa)],[f64])).
% 0.19/0.46 fof(f66,plain,(
% 0.19/0.46 spl0_0 <=> multiply(sk_c9,sk_c8)=sk_c7),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f67,plain,(
% 0.19/0.46 multiply(sk_c9,sk_c8)=sk_c7|~spl0_0),
% 0.19/0.46 inference(component_clause,[status(thm)],[f66])).
% 0.19/0.46 fof(f69,plain,(
% 0.19/0.46 spl0_1 <=> multiply(sk_c3,sk_c9)=sk_c8),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f70,plain,(
% 0.19/0.46 multiply(sk_c3,sk_c9)=sk_c8|~spl0_1),
% 0.19/0.46 inference(component_clause,[status(thm)],[f69])).
% 0.19/0.46 fof(f73,plain,(
% 0.19/0.46 spl0_2 <=> inverse(sk_c3)=sk_c9),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f74,plain,(
% 0.19/0.46 inverse(sk_c3)=sk_c9|~spl0_2),
% 0.19/0.46 inference(component_clause,[status(thm)],[f73])).
% 0.19/0.46 fof(f77,plain,(
% 0.19/0.46 spl0_3 <=> multiply(sk_c4,sk_c7)=sk_c8),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f78,plain,(
% 0.19/0.46 multiply(sk_c4,sk_c7)=sk_c8|~spl0_3),
% 0.19/0.46 inference(component_clause,[status(thm)],[f77])).
% 0.19/0.46 fof(f80,plain,(
% 0.19/0.46 spl0_0|spl0_3),
% 0.19/0.46 inference(split_clause,[status(thm)],[f38,f66,f77])).
% 0.19/0.46 fof(f81,plain,(
% 0.19/0.46 spl0_4 <=> inverse(sk_c4)=sk_c7),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f82,plain,(
% 0.19/0.46 inverse(sk_c4)=sk_c7|~spl0_4),
% 0.19/0.46 inference(component_clause,[status(thm)],[f81])).
% 0.19/0.46 fof(f84,plain,(
% 0.19/0.46 spl0_0|spl0_4),
% 0.19/0.46 inference(split_clause,[status(thm)],[f39,f66,f81])).
% 0.19/0.46 fof(f85,plain,(
% 0.19/0.46 spl0_5 <=> multiply(sk_c9,sk_c6)=sk_c7),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f86,plain,(
% 0.19/0.46 multiply(sk_c9,sk_c6)=sk_c7|~spl0_5),
% 0.19/0.46 inference(component_clause,[status(thm)],[f85])).
% 0.19/0.46 fof(f88,plain,(
% 0.19/0.46 spl0_0|spl0_5),
% 0.19/0.46 inference(split_clause,[status(thm)],[f40,f66,f85])).
% 0.19/0.46 fof(f89,plain,(
% 0.19/0.46 spl0_6 <=> multiply(sk_c5,sk_c9)=sk_c6),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f90,plain,(
% 0.19/0.46 multiply(sk_c5,sk_c9)=sk_c6|~spl0_6),
% 0.19/0.46 inference(component_clause,[status(thm)],[f89])).
% 0.19/0.46 fof(f92,plain,(
% 0.19/0.46 spl0_0|spl0_6),
% 0.19/0.46 inference(split_clause,[status(thm)],[f41,f66,f89])).
% 0.19/0.46 fof(f93,plain,(
% 0.19/0.46 spl0_7 <=> inverse(sk_c5)=sk_c9),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f94,plain,(
% 0.19/0.46 inverse(sk_c5)=sk_c9|~spl0_7),
% 0.19/0.46 inference(component_clause,[status(thm)],[f93])).
% 0.19/0.46 fof(f96,plain,(
% 0.19/0.46 spl0_0|spl0_7),
% 0.19/0.46 inference(split_clause,[status(thm)],[f42,f66,f93])).
% 0.19/0.46 fof(f97,plain,(
% 0.19/0.46 spl0_8 <=> multiply(sk_c1,sk_c9)=sk_c8),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f98,plain,(
% 0.19/0.46 multiply(sk_c1,sk_c9)=sk_c8|~spl0_8),
% 0.19/0.46 inference(component_clause,[status(thm)],[f97])).
% 0.19/0.46 fof(f100,plain,(
% 0.19/0.46 spl0_8|spl0_1),
% 0.19/0.46 inference(split_clause,[status(thm)],[f43,f97,f69])).
% 0.19/0.46 fof(f101,plain,(
% 0.19/0.46 spl0_8|spl0_2),
% 0.19/0.46 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.19/0.46 fof(f102,plain,(
% 0.19/0.46 spl0_8|spl0_3),
% 0.19/0.46 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.19/0.46 fof(f103,plain,(
% 0.19/0.46 spl0_8|spl0_4),
% 0.19/0.46 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.19/0.46 fof(f107,plain,(
% 0.19/0.46 spl0_9 <=> inverse(sk_c1)=sk_c9),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f108,plain,(
% 0.19/0.46 inverse(sk_c1)=sk_c9|~spl0_9),
% 0.19/0.46 inference(component_clause,[status(thm)],[f107])).
% 0.19/0.46 fof(f110,plain,(
% 0.19/0.46 spl0_9|spl0_1),
% 0.19/0.46 inference(split_clause,[status(thm)],[f50,f107,f69])).
% 0.19/0.46 fof(f111,plain,(
% 0.19/0.46 spl0_9|spl0_2),
% 0.19/0.46 inference(split_clause,[status(thm)],[f51,f107,f73])).
% 0.19/0.46 fof(f112,plain,(
% 0.19/0.46 spl0_9|spl0_3),
% 0.19/0.46 inference(split_clause,[status(thm)],[f52,f107,f77])).
% 0.19/0.46 fof(f113,plain,(
% 0.19/0.46 spl0_9|spl0_4),
% 0.19/0.46 inference(split_clause,[status(thm)],[f53,f107,f81])).
% 0.19/0.46 fof(f117,plain,(
% 0.19/0.46 spl0_10 <=> multiply(sk_c2,sk_c9)=sk_c7),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f118,plain,(
% 0.19/0.46 multiply(sk_c2,sk_c9)=sk_c7|~spl0_10),
% 0.19/0.46 inference(component_clause,[status(thm)],[f117])).
% 0.19/0.46 fof(f120,plain,(
% 0.19/0.46 spl0_10|spl0_1),
% 0.19/0.46 inference(split_clause,[status(thm)],[f57,f117,f69])).
% 0.19/0.46 fof(f121,plain,(
% 0.19/0.46 spl0_10|spl0_2),
% 0.19/0.46 inference(split_clause,[status(thm)],[f58,f117,f73])).
% 0.19/0.46 fof(f122,plain,(
% 0.19/0.46 spl0_10|spl0_3),
% 0.19/0.46 inference(split_clause,[status(thm)],[f59,f117,f77])).
% 0.19/0.46 fof(f123,plain,(
% 0.19/0.46 spl0_10|spl0_4),
% 0.19/0.46 inference(split_clause,[status(thm)],[f60,f117,f81])).
% 0.19/0.46 fof(f124,plain,(
% 0.19/0.46 spl0_10|spl0_5),
% 0.19/0.46 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.19/0.46 fof(f125,plain,(
% 0.19/0.46 spl0_10|spl0_6),
% 0.19/0.46 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.19/0.46 fof(f126,plain,(
% 0.19/0.46 spl0_10|spl0_7),
% 0.19/0.46 inference(split_clause,[status(thm)],[f63,f117,f93])).
% 0.19/0.46 fof(f127,plain,(
% 0.19/0.46 spl0_11 <=> ~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f128,plain,(
% 0.19/0.46 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~spl0_11)),
% 0.19/0.46 inference(component_clause,[status(thm)],[f127])).
% 0.19/0.46 fof(f130,plain,(
% 0.19/0.46 spl0_12 <=> ~multiply(X1,sk_c9)=sk_c7),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f131,plain,(
% 0.19/0.46 ![X0]: (~multiply(X0,sk_c9)=sk_c7|~spl0_12)),
% 0.19/0.46 inference(component_clause,[status(thm)],[f130])).
% 0.19/0.46 fof(f133,plain,(
% 0.19/0.46 spl0_13 <=> ~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f134,plain,(
% 0.19/0.46 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~spl0_13)),
% 0.19/0.46 inference(component_clause,[status(thm)],[f133])).
% 0.19/0.46 fof(f136,plain,(
% 0.19/0.46 spl0_14 <=> ~multiply(sk_c9,X4)=sk_c7|~multiply(X5,sk_c9)=X4|~inverse(X5)=sk_c9),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f137,plain,(
% 0.19/0.46 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c7|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~spl0_14)),
% 0.19/0.46 inference(component_clause,[status(thm)],[f136])).
% 0.19/0.46 fof(f139,plain,(
% 0.19/0.46 ~spl0_0|spl0_11|spl0_12|spl0_13|spl0_14),
% 0.19/0.46 inference(split_clause,[status(thm)],[f65,f66,f127,f130,f133,f136])).
% 0.19/0.46 fof(f140,plain,(
% 0.19/0.46 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c7|~inverse(X0)=sk_c9|~spl0_14)),
% 0.19/0.46 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.19/0.46 fof(f141,plain,(
% 0.19/0.46 ~multiply(sk_c9,sk_c8)=sk_c7|~inverse(sk_c3)=sk_c9|~spl0_14|~spl0_1),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f70,f140])).
% 0.19/0.46 fof(f142,plain,(
% 0.19/0.46 ~spl0_0|~spl0_2|~spl0_14|~spl0_1),
% 0.19/0.46 inference(split_clause,[status(thm)],[f141,f66,f73,f136,f69])).
% 0.19/0.46 fof(f143,plain,(
% 0.19/0.46 ~multiply(sk_c9,sk_c6)=sk_c7|~inverse(sk_c5)=sk_c9|~spl0_14|~spl0_6),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f90,f140])).
% 0.19/0.46 fof(f144,plain,(
% 0.19/0.46 ~spl0_5|~spl0_7|~spl0_14|~spl0_6),
% 0.19/0.46 inference(split_clause,[status(thm)],[f143,f85,f93,f136,f89])).
% 0.19/0.46 fof(f145,plain,(
% 0.19/0.46 ~multiply(sk_c9,sk_c8)=sk_c7|~inverse(sk_c1)=sk_c9|~spl0_14|~spl0_8),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f98,f140])).
% 0.19/0.46 fof(f146,plain,(
% 0.19/0.46 ~spl0_0|~spl0_9|~spl0_14|~spl0_8),
% 0.19/0.46 inference(split_clause,[status(thm)],[f145,f66,f107,f136,f97])).
% 0.19/0.46 fof(f155,plain,(
% 0.19/0.46 ~multiply(sk_c4,sk_c7)=sk_c8|~spl0_13|~spl0_4),
% 0.19/0.46 inference(resolution,[status(thm)],[f134,f82])).
% 0.19/0.46 fof(f156,plain,(
% 0.19/0.46 ~sk_c8=sk_c8|~spl0_3|~spl0_13|~spl0_4),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f78,f155])).
% 0.19/0.46 fof(f157,plain,(
% 0.19/0.46 $false|~spl0_3|~spl0_13|~spl0_4),
% 0.19/0.46 inference(trivial_equality_resolution,[status(esa)],[f156])).
% 0.19/0.46 fof(f158,plain,(
% 0.19/0.46 ~spl0_3|~spl0_13|~spl0_4),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f157])).
% 0.19/0.46 fof(f159,plain,(
% 0.19/0.46 $false|~spl0_12|~spl0_10),
% 0.19/0.46 inference(backward_subsumption_resolution,[status(thm)],[f118,f131])).
% 0.19/0.46 fof(f160,plain,(
% 0.19/0.46 ~spl0_12|~spl0_10),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f159])).
% 0.19/0.46 fof(f161,plain,(
% 0.19/0.46 ~inverse(sk_c3)=sk_c9|~spl0_1|~spl0_11),
% 0.19/0.46 inference(resolution,[status(thm)],[f70,f128])).
% 0.19/0.46 fof(f162,plain,(
% 0.19/0.46 ~sk_c9=sk_c9|~spl0_2|~spl0_1|~spl0_11),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f74,f161])).
% 0.19/0.46 fof(f163,plain,(
% 0.19/0.46 $false|~spl0_2|~spl0_1|~spl0_11),
% 0.19/0.46 inference(trivial_equality_resolution,[status(esa)],[f162])).
% 0.19/0.46 fof(f164,plain,(
% 0.19/0.46 ~spl0_2|~spl0_1|~spl0_11),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f163])).
% 0.19/0.46 fof(f165,plain,(
% 0.19/0.46 ~inverse(sk_c1)=sk_c9|~spl0_8|~spl0_11),
% 0.19/0.46 inference(resolution,[status(thm)],[f98,f128])).
% 0.19/0.46 fof(f166,plain,(
% 0.19/0.46 ~sk_c9=sk_c9|~spl0_9|~spl0_8|~spl0_11),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f108,f165])).
% 0.19/0.46 fof(f167,plain,(
% 0.19/0.46 $false|~spl0_9|~spl0_8|~spl0_11),
% 0.19/0.46 inference(trivial_equality_resolution,[status(esa)],[f166])).
% 0.19/0.46 fof(f168,plain,(
% 0.19/0.46 ~spl0_9|~spl0_8|~spl0_11),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f167])).
% 0.19/0.46 fof(f169,plain,(
% 0.19/0.46 spl0_17 <=> multiply(sk_c1,sk_c7)=sk_c8),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f171,plain,(
% 0.19/0.46 ~multiply(sk_c1,sk_c7)=sk_c8|spl0_17),
% 0.19/0.46 inference(component_clause,[status(thm)],[f169])).
% 0.19/0.46 fof(f172,plain,(
% 0.19/0.46 spl0_18 <=> sk_c9=sk_c7),
% 0.19/0.46 introduced(split_symbol_definition)).
% 0.19/0.46 fof(f174,plain,(
% 0.19/0.46 ~sk_c9=sk_c7|spl0_18),
% 0.19/0.46 inference(component_clause,[status(thm)],[f172])).
% 0.19/0.46 fof(f175,plain,(
% 0.19/0.46 ~multiply(sk_c1,sk_c7)=sk_c8|~sk_c9=sk_c7|~spl0_13|~spl0_9),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f108,f134])).
% 0.19/0.46 fof(f176,plain,(
% 0.19/0.46 ~spl0_17|~spl0_18|~spl0_13|~spl0_9),
% 0.19/0.46 inference(split_clause,[status(thm)],[f175,f169,f172,f133,f107])).
% 0.19/0.46 fof(f184,plain,(
% 0.19/0.46 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c1,multiply(sk_c9,X0))|~spl0_8)),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f98,f35])).
% 0.19/0.46 fof(f194,plain,(
% 0.19/0.46 multiply(sk_c8,sk_c8)=multiply(sk_c1,sk_c7)|~spl0_8|~spl0_0),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f67,f184])).
% 0.19/0.46 fof(f204,plain,(
% 0.19/0.46 ~multiply(sk_c8,sk_c8)=sk_c8|~spl0_8|~spl0_0|spl0_17),
% 0.19/0.46 inference(backward_demodulation,[status(thm)],[f194,f171])).
% 0.19/0.46 fof(f212,plain,(
% 0.19/0.46 multiply(sk_c9,sk_c1)=identity|~spl0_9),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f108,f34])).
% 0.19/0.46 fof(f213,plain,(
% 0.19/0.46 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f34,f35])).
% 0.19/0.46 fof(f214,plain,(
% 0.19/0.46 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f33,f213])).
% 0.19/0.46 fof(f217,plain,(
% 0.19/0.46 ![X0]: (multiply(identity,X0)=multiply(sk_c9,multiply(sk_c1,X0))|~spl0_9)),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f212,f35])).
% 0.19/0.46 fof(f218,plain,(
% 0.19/0.46 ![X0]: (X0=multiply(sk_c9,multiply(sk_c1,X0))|~spl0_9)),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f33,f217])).
% 0.19/0.46 fof(f225,plain,(
% 0.19/0.46 sk_c9=multiply(sk_c9,sk_c8)|~spl0_9|~spl0_8),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f98,f218])).
% 0.19/0.46 fof(f226,plain,(
% 0.19/0.46 sk_c9=sk_c7|~spl0_0|~spl0_9|~spl0_8),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f67,f225])).
% 0.19/0.46 fof(f249,plain,(
% 0.19/0.46 multiply(sk_c8,sk_c8)=multiply(sk_c1,sk_c9)|~spl0_9|~spl0_8|~spl0_0),
% 0.19/0.46 inference(backward_demodulation,[status(thm)],[f226,f194])).
% 0.19/0.46 fof(f250,plain,(
% 0.19/0.46 multiply(sk_c8,sk_c8)=sk_c8|~spl0_9|~spl0_8|~spl0_0),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f98,f249])).
% 0.19/0.46 fof(f251,plain,(
% 0.19/0.46 $false|spl0_17|~spl0_9|~spl0_8|~spl0_0),
% 0.19/0.46 inference(forward_subsumption_resolution,[status(thm)],[f250,f204])).
% 0.19/0.46 fof(f252,plain,(
% 0.19/0.46 spl0_17|~spl0_9|~spl0_8|~spl0_0),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f251])).
% 0.19/0.46 fof(f258,plain,(
% 0.19/0.46 ~sk_c9=sk_c9|~spl0_0|~spl0_9|~spl0_8|spl0_18),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f226,f174])).
% 0.19/0.46 fof(f259,plain,(
% 0.19/0.46 $false|~spl0_0|~spl0_9|~spl0_8|spl0_18),
% 0.19/0.46 inference(trivial_equality_resolution,[status(esa)],[f258])).
% 0.19/0.46 fof(f260,plain,(
% 0.19/0.46 ~spl0_0|~spl0_9|~spl0_8|spl0_18),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f259])).
% 0.19/0.46 fof(f289,plain,(
% 0.19/0.46 sk_c9=multiply(inverse(sk_c5),sk_c6)|~spl0_6),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f90,f214])).
% 0.19/0.46 fof(f290,plain,(
% 0.19/0.46 sk_c9=multiply(sk_c9,sk_c6)|~spl0_7|~spl0_6),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f94,f289])).
% 0.19/0.46 fof(f291,plain,(
% 0.19/0.46 sk_c9=sk_c7|~spl0_5|~spl0_7|~spl0_6),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f86,f290])).
% 0.19/0.46 fof(f294,plain,(
% 0.19/0.46 sk_c6=multiply(inverse(sk_c9),sk_c7)|~spl0_5),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f86,f214])).
% 0.19/0.46 fof(f295,plain,(
% 0.19/0.46 sk_c7=multiply(inverse(sk_c4),sk_c8)|~spl0_3),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f78,f214])).
% 0.19/0.46 fof(f296,plain,(
% 0.19/0.46 sk_c7=multiply(sk_c7,sk_c8)|~spl0_4|~spl0_3),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f82,f295])).
% 0.19/0.46 fof(f319,plain,(
% 0.19/0.46 ![X0]: (multiply(sk_c6,X0)=multiply(inverse(sk_c9),multiply(sk_c7,X0))|~spl0_5)),
% 0.19/0.46 inference(paramodulation,[status(thm)],[f294,f35])).
% 0.19/0.46 fof(f361,plain,(
% 0.19/0.46 ![X0]: (multiply(sk_c6,X0)=multiply(inverse(sk_c9),multiply(sk_c9,X0))|~spl0_7|~spl0_6|~spl0_5)),
% 0.19/0.46 inference(backward_demodulation,[status(thm)],[f291,f319])).
% 0.19/0.46 fof(f362,plain,(
% 0.19/0.46 ![X0]: (multiply(sk_c6,X0)=X0|~spl0_7|~spl0_6|~spl0_5)),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f214,f361])).
% 0.19/0.46 fof(f369,plain,(
% 0.19/0.46 sk_c7=multiply(sk_c9,sk_c8)|~spl0_5|~spl0_7|~spl0_6|~spl0_4|~spl0_3),
% 0.19/0.46 inference(backward_demodulation,[status(thm)],[f291,f296])).
% 0.19/0.46 fof(f370,plain,(
% 0.19/0.46 spl0_0|~spl0_5|~spl0_7|~spl0_6|~spl0_4|~spl0_3),
% 0.19/0.46 inference(split_clause,[status(thm)],[f369,f66,f85,f93,f89,f81,f77])).
% 0.19/0.46 fof(f386,plain,(
% 0.19/0.46 ![X0]: (~multiply(X0,sk_c9)=sk_c9|~spl0_5|~spl0_7|~spl0_6|~spl0_12)),
% 0.19/0.46 inference(forward_demodulation,[status(thm)],[f291,f131])).
% 0.19/0.46 fof(f470,plain,(
% 0.19/0.46 $false|~spl0_12|~spl0_7|~spl0_6|~spl0_5),
% 0.19/0.46 inference(resolution,[status(thm)],[f386,f362])).
% 0.19/0.46 fof(f471,plain,(
% 0.19/0.46 ~spl0_12|~spl0_7|~spl0_6|~spl0_5),
% 0.19/0.46 inference(contradiction_clause,[status(thm)],[f470])).
% 0.19/0.46 fof(f472,plain,(
% 0.19/0.46 $false),
% 0.19/0.46 inference(sat_refutation,[status(thm)],[f80,f84,f88,f92,f96,f100,f101,f102,f103,f110,f111,f112,f113,f120,f121,f122,f123,f124,f125,f126,f139,f142,f144,f146,f158,f160,f164,f168,f176,f252,f260,f370,f471])).
% 0.19/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.46 % Elapsed time: 0.118280 seconds
% 0.19/0.46 % CPU time: 0.823686 seconds
% 0.19/0.46 % Total memory used: 69.965 MB
% 0.19/0.46 % Net memory used: 69.469 MB
%------------------------------------------------------------------------------