TSTP Solution File: GRP256-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP256-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:19:53 EDT 2024
% Result : Unsatisfiable 0.16s 0.48s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : GRP256-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n026.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Apr 30 00:50:34 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.6.0
% 0.16/0.48 % Refutation found
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.48 fof(f1,axiom,(
% 0.16/0.48 (![X]: (multiply(identity,X) = X ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f2,axiom,(
% 0.16/0.48 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f3,axiom,(
% 0.16/0.48 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f6,negated_conjecture,(
% 0.16/0.48 ( multiply(sk_c1,sk_c10) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f7,negated_conjecture,(
% 0.16/0.48 ( multiply(sk_c1,sk_c10) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f13,negated_conjecture,(
% 0.16/0.48 ( inverse(sk_c1) = sk_c10| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f14,negated_conjecture,(
% 0.16/0.48 ( inverse(sk_c1) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f20,negated_conjecture,(
% 0.16/0.48 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f21,negated_conjecture,(
% 0.16/0.48 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f22,negated_conjecture,(
% 0.16/0.48 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f23,negated_conjecture,(
% 0.16/0.48 ( multiply(sk_c2,sk_c9) = sk_c8| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f24,negated_conjecture,(
% 0.16/0.48 ( multiply(sk_c2,sk_c9) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f27,negated_conjecture,(
% 0.16/0.48 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c9 ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f28,negated_conjecture,(
% 0.16/0.48 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f29,negated_conjecture,(
% 0.16/0.48 ( inverse(sk_c2) = sk_c9| multiply(sk_c9,sk_c7) = sk_c8 ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f30,negated_conjecture,(
% 0.16/0.48 ( inverse(sk_c2) = sk_c9| multiply(sk_c6,sk_c9) = sk_c7 ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f31,negated_conjecture,(
% 0.16/0.48 ( inverse(sk_c2) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f46,negated_conjecture,(
% 0.16/0.48 (![X4,X5,X6,X1,X2,X3,X7]: (( multiply(X4,sk_c10) != sk_c9| inverse(X4) != sk_c10| multiply(X5,sk_c9) != sk_c8| inverse(X5) != sk_c9| inverse(X6) != sk_c8| multiply(X6,sk_c9) != sk_c8| multiply(X1,sk_c10) != sk_c9| inverse(X1) != sk_c10| multiply(X2,sk_c8) != sk_c9| inverse(X2) != sk_c8| multiply(sk_c9,X3) != sk_c8| multiply(X7,sk_c9) != X3| inverse(X7) != sk_c9 ) ))),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f47,plain,(
% 0.16/0.48 ![X0]: (multiply(identity,X0)=X0)),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f1])).
% 0.16/0.48 fof(f48,plain,(
% 0.16/0.48 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f2])).
% 0.16/0.48 fof(f49,plain,(
% 0.16/0.48 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f3])).
% 0.16/0.48 fof(f52,plain,(
% 0.16/0.48 multiply(sk_c1,sk_c10)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f6])).
% 0.16/0.48 fof(f53,plain,(
% 0.16/0.48 multiply(sk_c1,sk_c10)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f7])).
% 0.16/0.48 fof(f59,plain,(
% 0.16/0.48 inverse(sk_c1)=sk_c10|multiply(sk_c5,sk_c8)=sk_c9),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f13])).
% 0.16/0.48 fof(f60,plain,(
% 0.16/0.48 inverse(sk_c1)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.16/0.48 inference(cnf_transformation,[status(esa)],[f14])).
% 0.16/0.48 fof(f66,plain,(
% 0.16/0.48 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c9),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f20])).
% 0.16/0.49 fof(f67,plain,(
% 0.16/0.49 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f21])).
% 0.16/0.49 fof(f68,plain,(
% 0.16/0.49 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c9,sk_c7)=sk_c8),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f22])).
% 0.16/0.49 fof(f69,plain,(
% 0.16/0.49 multiply(sk_c2,sk_c9)=sk_c8|multiply(sk_c6,sk_c9)=sk_c7),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f23])).
% 0.16/0.49 fof(f70,plain,(
% 0.16/0.49 multiply(sk_c2,sk_c9)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f24])).
% 0.16/0.49 fof(f73,plain,(
% 0.16/0.49 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c9),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f27])).
% 0.16/0.49 fof(f74,plain,(
% 0.16/0.49 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f28])).
% 0.16/0.49 fof(f75,plain,(
% 0.16/0.49 inverse(sk_c2)=sk_c9|multiply(sk_c9,sk_c7)=sk_c8),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f29])).
% 0.16/0.49 fof(f76,plain,(
% 0.16/0.49 inverse(sk_c2)=sk_c9|multiply(sk_c6,sk_c9)=sk_c7),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f30])).
% 0.16/0.49 fof(f77,plain,(
% 0.16/0.49 inverse(sk_c2)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f31])).
% 0.16/0.49 fof(f92,plain,(
% 0.16/0.49 ![X7]: ((![X3]: (((![X2]: (((![X1]: (((![X6]: (((![X5]: (((![X4]: (~multiply(X4,sk_c10)=sk_c9|~inverse(X4)=sk_c10))|~multiply(X5,sk_c9)=sk_c8)|~inverse(X5)=sk_c9))|~inverse(X6)=sk_c8)|~multiply(X6,sk_c9)=sk_c8))|~multiply(X1,sk_c10)=sk_c9)|~inverse(X1)=sk_c10))|~multiply(X2,sk_c8)=sk_c9)|~inverse(X2)=sk_c8))|~multiply(sk_c9,X3)=sk_c8)|~multiply(X7,sk_c9)=X3))|~inverse(X7)=sk_c9)),
% 0.16/0.49 inference(miniscoping,[status(esa)],[f46])).
% 0.16/0.49 fof(f93,plain,(
% 0.16/0.49 ![X0,X1,X2,X3,X4,X5,X6]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~multiply(X1,sk_c9)=sk_c8|~inverse(X1)=sk_c9|~inverse(X2)=sk_c8|~multiply(X2,sk_c9)=sk_c8|~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10|~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8|~multiply(sk_c9,X5)=sk_c8|~multiply(X6,sk_c9)=X5|~inverse(X6)=sk_c9)),
% 0.16/0.49 inference(cnf_transformation,[status(esa)],[f92])).
% 0.16/0.49 fof(f94,plain,(
% 0.16/0.49 spl0_0 <=> multiply(sk_c1,sk_c10)=sk_c9),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f95,plain,(
% 0.16/0.49 multiply(sk_c1,sk_c10)=sk_c9|~spl0_0),
% 0.16/0.49 inference(component_clause,[status(thm)],[f94])).
% 0.16/0.49 fof(f105,plain,(
% 0.16/0.49 spl0_3 <=> multiply(sk_c5,sk_c8)=sk_c9),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f106,plain,(
% 0.16/0.49 multiply(sk_c5,sk_c8)=sk_c9|~spl0_3),
% 0.16/0.49 inference(component_clause,[status(thm)],[f105])).
% 0.16/0.49 fof(f108,plain,(
% 0.16/0.49 spl0_0|spl0_3),
% 0.16/0.49 inference(split_clause,[status(thm)],[f52,f94,f105])).
% 0.16/0.49 fof(f109,plain,(
% 0.16/0.49 spl0_4 <=> inverse(sk_c5)=sk_c8),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f110,plain,(
% 0.16/0.49 inverse(sk_c5)=sk_c8|~spl0_4),
% 0.16/0.49 inference(component_clause,[status(thm)],[f109])).
% 0.16/0.49 fof(f112,plain,(
% 0.16/0.49 spl0_0|spl0_4),
% 0.16/0.49 inference(split_clause,[status(thm)],[f53,f94,f109])).
% 0.16/0.49 fof(f113,plain,(
% 0.16/0.49 spl0_5 <=> multiply(sk_c9,sk_c7)=sk_c8),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f114,plain,(
% 0.16/0.49 multiply(sk_c9,sk_c7)=sk_c8|~spl0_5),
% 0.16/0.49 inference(component_clause,[status(thm)],[f113])).
% 0.16/0.49 fof(f117,plain,(
% 0.16/0.49 spl0_6 <=> multiply(sk_c6,sk_c9)=sk_c7),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f118,plain,(
% 0.16/0.49 multiply(sk_c6,sk_c9)=sk_c7|~spl0_6),
% 0.16/0.49 inference(component_clause,[status(thm)],[f117])).
% 0.16/0.49 fof(f121,plain,(
% 0.16/0.49 spl0_7 <=> inverse(sk_c6)=sk_c9),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f122,plain,(
% 0.16/0.49 inverse(sk_c6)=sk_c9|~spl0_7),
% 0.16/0.49 inference(component_clause,[status(thm)],[f121])).
% 0.16/0.49 fof(f125,plain,(
% 0.16/0.49 spl0_8 <=> inverse(sk_c1)=sk_c10),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f126,plain,(
% 0.16/0.49 inverse(sk_c1)=sk_c10|~spl0_8),
% 0.16/0.49 inference(component_clause,[status(thm)],[f125])).
% 0.16/0.49 fof(f130,plain,(
% 0.16/0.49 spl0_8|spl0_3),
% 0.16/0.49 inference(split_clause,[status(thm)],[f59,f125,f105])).
% 0.16/0.49 fof(f131,plain,(
% 0.16/0.49 spl0_8|spl0_4),
% 0.16/0.49 inference(split_clause,[status(thm)],[f60,f125,f109])).
% 0.16/0.49 fof(f135,plain,(
% 0.16/0.49 spl0_9 <=> multiply(sk_c2,sk_c9)=sk_c8),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f136,plain,(
% 0.16/0.49 multiply(sk_c2,sk_c9)=sk_c8|~spl0_9),
% 0.16/0.49 inference(component_clause,[status(thm)],[f135])).
% 0.16/0.49 fof(f140,plain,(
% 0.16/0.49 spl0_9|spl0_3),
% 0.16/0.49 inference(split_clause,[status(thm)],[f66,f135,f105])).
% 0.16/0.49 fof(f141,plain,(
% 0.16/0.49 spl0_9|spl0_4),
% 0.16/0.49 inference(split_clause,[status(thm)],[f67,f135,f109])).
% 0.16/0.49 fof(f142,plain,(
% 0.16/0.49 spl0_9|spl0_5),
% 0.16/0.49 inference(split_clause,[status(thm)],[f68,f135,f113])).
% 0.16/0.49 fof(f143,plain,(
% 0.16/0.49 spl0_9|spl0_6),
% 0.16/0.49 inference(split_clause,[status(thm)],[f69,f135,f117])).
% 0.16/0.49 fof(f144,plain,(
% 0.16/0.49 spl0_9|spl0_7),
% 0.16/0.49 inference(split_clause,[status(thm)],[f70,f135,f121])).
% 0.16/0.49 fof(f145,plain,(
% 0.16/0.49 spl0_10 <=> inverse(sk_c2)=sk_c9),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f146,plain,(
% 0.16/0.49 inverse(sk_c2)=sk_c9|~spl0_10),
% 0.16/0.49 inference(component_clause,[status(thm)],[f145])).
% 0.16/0.49 fof(f150,plain,(
% 0.16/0.49 spl0_10|spl0_3),
% 0.16/0.49 inference(split_clause,[status(thm)],[f73,f145,f105])).
% 0.16/0.49 fof(f151,plain,(
% 0.16/0.49 spl0_10|spl0_4),
% 0.16/0.49 inference(split_clause,[status(thm)],[f74,f145,f109])).
% 0.16/0.49 fof(f152,plain,(
% 0.16/0.49 spl0_10|spl0_5),
% 0.16/0.49 inference(split_clause,[status(thm)],[f75,f145,f113])).
% 0.16/0.49 fof(f153,plain,(
% 0.16/0.49 spl0_10|spl0_6),
% 0.16/0.49 inference(split_clause,[status(thm)],[f76,f145,f117])).
% 0.16/0.49 fof(f154,plain,(
% 0.16/0.49 spl0_10|spl0_7),
% 0.16/0.49 inference(split_clause,[status(thm)],[f77,f145,f121])).
% 0.16/0.49 fof(f175,plain,(
% 0.16/0.49 spl0_13 <=> ~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f176,plain,(
% 0.16/0.49 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~spl0_13)),
% 0.16/0.49 inference(component_clause,[status(thm)],[f175])).
% 0.16/0.49 fof(f178,plain,(
% 0.16/0.49 spl0_14 <=> ~multiply(X1,sk_c9)=sk_c8|~inverse(X1)=sk_c9),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f179,plain,(
% 0.16/0.49 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~spl0_14)),
% 0.16/0.49 inference(component_clause,[status(thm)],[f178])).
% 0.16/0.49 fof(f181,plain,(
% 0.16/0.49 spl0_15 <=> ~inverse(X2)=sk_c8|~multiply(X2,sk_c9)=sk_c8),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f182,plain,(
% 0.16/0.49 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c9)=sk_c8|~spl0_15)),
% 0.16/0.49 inference(component_clause,[status(thm)],[f181])).
% 0.16/0.49 fof(f184,plain,(
% 0.16/0.49 spl0_16 <=> ~multiply(X4,sk_c8)=sk_c9|~inverse(X4)=sk_c8),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f185,plain,(
% 0.16/0.49 ![X0]: (~multiply(X0,sk_c8)=sk_c9|~inverse(X0)=sk_c8|~spl0_16)),
% 0.16/0.49 inference(component_clause,[status(thm)],[f184])).
% 0.16/0.49 fof(f187,plain,(
% 0.16/0.49 spl0_17 <=> ~multiply(sk_c9,X5)=sk_c8|~multiply(X6,sk_c9)=X5|~inverse(X6)=sk_c9),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f188,plain,(
% 0.16/0.49 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c8|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~spl0_17)),
% 0.16/0.49 inference(component_clause,[status(thm)],[f187])).
% 0.16/0.49 fof(f190,plain,(
% 0.16/0.49 spl0_13|spl0_14|spl0_15|spl0_16|spl0_17),
% 0.16/0.49 inference(split_clause,[status(thm)],[f93,f175,f178,f181,f184,f187])).
% 0.16/0.49 fof(f191,plain,(
% 0.16/0.49 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c8|~inverse(X0)=sk_c9|~spl0_17)),
% 0.16/0.49 inference(destructive_equality_resolution,[status(esa)],[f188])).
% 0.16/0.49 fof(f196,plain,(
% 0.16/0.49 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f48,f49])).
% 0.16/0.49 fof(f197,plain,(
% 0.16/0.49 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f47,f196])).
% 0.16/0.49 fof(f198,plain,(
% 0.16/0.49 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f197,f197])).
% 0.16/0.49 fof(f199,plain,(
% 0.16/0.49 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f48,f197])).
% 0.16/0.49 fof(f209,plain,(
% 0.16/0.49 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f48,f198])).
% 0.16/0.49 fof(f218,plain,(
% 0.16/0.49 inverse(identity)=identity),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f47,f209])).
% 0.16/0.49 fof(f237,plain,(
% 0.16/0.49 ![X0]: (X0=multiply(X0,identity))),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f198,f199])).
% 0.16/0.49 fof(f238,plain,(
% 0.16/0.49 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f198,f237])).
% 0.16/0.49 fof(f239,plain,(
% 0.16/0.49 ![X0]: (inverse(inverse(X0))=X0)),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f237,f238])).
% 0.16/0.49 fof(f669,plain,(
% 0.16/0.49 inverse(sk_c9)=sk_c2|~spl0_10),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f146,f239])).
% 0.16/0.49 fof(f680,plain,(
% 0.16/0.49 multiply(sk_c6,sk_c9)=identity|~spl0_7),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f122,f209])).
% 0.16/0.49 fof(f712,plain,(
% 0.16/0.49 multiply(sk_c2,sk_c9)=identity|~spl0_10),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f669,f48])).
% 0.16/0.49 fof(f867,plain,(
% 0.16/0.49 ![X0]: (~multiply(inverse(X0),sk_c8)=sk_c9|~X0=sk_c8|~spl0_16)),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f239,f185])).
% 0.16/0.49 fof(f868,plain,(
% 0.16/0.49 ~multiply(inverse(sk_c8),sk_c8)=sk_c9|~spl0_16),
% 0.16/0.49 inference(destructive_equality_resolution,[status(esa)],[f867])).
% 0.16/0.49 fof(f869,plain,(
% 0.16/0.49 spl0_22 <=> multiply(identity,sk_c8)=sk_c9),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f871,plain,(
% 0.16/0.49 ~multiply(identity,sk_c8)=sk_c9|spl0_22),
% 0.16/0.49 inference(component_clause,[status(thm)],[f869])).
% 0.16/0.49 fof(f872,plain,(
% 0.16/0.49 spl0_23 <=> identity=sk_c8),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f873,plain,(
% 0.16/0.49 identity=sk_c8|~spl0_23),
% 0.16/0.49 inference(component_clause,[status(thm)],[f872])).
% 0.16/0.49 fof(f874,plain,(
% 0.16/0.49 ~identity=sk_c8|spl0_23),
% 0.16/0.49 inference(component_clause,[status(thm)],[f872])).
% 0.16/0.49 fof(f875,plain,(
% 0.16/0.49 ~multiply(identity,sk_c8)=sk_c9|~identity=sk_c8|~spl0_16),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f218,f185])).
% 0.16/0.49 fof(f876,plain,(
% 0.16/0.49 ~spl0_22|~spl0_23|~spl0_16),
% 0.16/0.49 inference(split_clause,[status(thm)],[f875,f869,f872,f184])).
% 0.16/0.49 fof(f877,plain,(
% 0.16/0.49 ~sk_c8=sk_c9|spl0_22),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f47,f871])).
% 0.16/0.49 fof(f1653,plain,(
% 0.16/0.49 spl0_24 <=> sk_c8=sk_c8),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f1655,plain,(
% 0.16/0.49 ~sk_c8=sk_c8|spl0_24),
% 0.16/0.49 inference(component_clause,[status(thm)],[f1653])).
% 0.16/0.49 fof(f1665,plain,(
% 0.16/0.49 spl0_26 <=> inverse(identity)=sk_c8),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f1667,plain,(
% 0.16/0.49 ~inverse(identity)=sk_c8|spl0_26),
% 0.16/0.49 inference(component_clause,[status(thm)],[f1665])).
% 0.16/0.49 fof(f1668,plain,(
% 0.16/0.49 spl0_27 <=> sk_c9=sk_c8),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f1670,plain,(
% 0.16/0.49 ~sk_c9=sk_c8|spl0_27),
% 0.16/0.49 inference(component_clause,[status(thm)],[f1668])).
% 0.16/0.49 fof(f1671,plain,(
% 0.16/0.49 ~inverse(identity)=sk_c8|~sk_c9=sk_c8|~spl0_15),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f47,f182])).
% 0.16/0.49 fof(f1672,plain,(
% 0.16/0.49 ~spl0_26|~spl0_27|~spl0_15),
% 0.16/0.49 inference(split_clause,[status(thm)],[f1671,f1665,f1668,f181])).
% 0.16/0.49 fof(f1674,plain,(
% 0.16/0.49 $false|spl0_24),
% 0.16/0.49 inference(trivial_equality_resolution,[status(esa)],[f1655])).
% 0.16/0.49 fof(f1675,plain,(
% 0.16/0.49 spl0_24),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f1674])).
% 0.16/0.49 fof(f1690,plain,(
% 0.16/0.49 inverse(sk_c8)=sk_c5|~spl0_4),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f110,f239])).
% 0.16/0.49 fof(f1778,plain,(
% 0.16/0.49 spl0_29 <=> inverse(inverse(sk_c9))=sk_c9),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f1780,plain,(
% 0.16/0.49 ~inverse(inverse(sk_c9))=sk_c9|spl0_29),
% 0.16/0.49 inference(component_clause,[status(thm)],[f1778])).
% 0.16/0.49 fof(f1781,plain,(
% 0.16/0.49 ~identity=sk_c8|~inverse(inverse(sk_c9))=sk_c9|~spl0_14),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f48,f179])).
% 0.16/0.49 fof(f1782,plain,(
% 0.16/0.49 ~spl0_23|~spl0_29|~spl0_14),
% 0.16/0.49 inference(split_clause,[status(thm)],[f1781,f872,f1778,f178])).
% 0.16/0.49 fof(f1790,plain,(
% 0.16/0.49 ~sk_c9=sk_c9|spl0_29),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f239,f1780])).
% 0.16/0.49 fof(f1791,plain,(
% 0.16/0.49 $false|spl0_29),
% 0.16/0.49 inference(trivial_equality_resolution,[status(esa)],[f1790])).
% 0.16/0.49 fof(f1792,plain,(
% 0.16/0.49 spl0_29),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f1791])).
% 0.16/0.49 fof(f1793,plain,(
% 0.16/0.49 spl0_31 <=> identity=sk_c9),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f1794,plain,(
% 0.16/0.49 identity=sk_c9|~spl0_31),
% 0.16/0.49 inference(component_clause,[status(thm)],[f1793])).
% 0.16/0.49 fof(f1795,plain,(
% 0.16/0.49 ~identity=sk_c9|spl0_31),
% 0.16/0.49 inference(component_clause,[status(thm)],[f1793])).
% 0.16/0.49 fof(f1800,plain,(
% 0.16/0.49 spl0_32 <=> inverse(inverse(sk_c10))=sk_c10),
% 0.16/0.49 introduced(split_symbol_definition)).
% 0.16/0.49 fof(f1802,plain,(
% 0.16/0.49 ~inverse(inverse(sk_c10))=sk_c10|spl0_32),
% 0.16/0.49 inference(component_clause,[status(thm)],[f1800])).
% 0.16/0.49 fof(f1803,plain,(
% 0.16/0.49 ~identity=sk_c9|~inverse(inverse(sk_c10))=sk_c10|~spl0_13),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f48,f176])).
% 0.16/0.49 fof(f1804,plain,(
% 0.16/0.49 ~spl0_31|~spl0_32|~spl0_13),
% 0.16/0.49 inference(split_clause,[status(thm)],[f1803,f1793,f1800,f175])).
% 0.16/0.49 fof(f1815,plain,(
% 0.16/0.49 ~sk_c10=sk_c10|spl0_32),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f239,f1802])).
% 0.16/0.49 fof(f1816,plain,(
% 0.16/0.49 $false|spl0_32),
% 0.16/0.49 inference(trivial_equality_resolution,[status(esa)],[f1815])).
% 0.16/0.49 fof(f1817,plain,(
% 0.16/0.49 spl0_32),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f1816])).
% 0.16/0.49 fof(f1818,plain,(
% 0.16/0.49 ~identity=sk_c9|~spl0_16),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f48,f868])).
% 0.16/0.49 fof(f2545,plain,(
% 0.16/0.49 multiply(sk_c5,sk_c8)=identity|~spl0_4),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f1690,f48])).
% 0.16/0.49 fof(f2546,plain,(
% 0.16/0.49 sk_c9=identity|~spl0_3|~spl0_4),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f106,f2545])).
% 0.16/0.49 fof(f2547,plain,(
% 0.16/0.49 $false|~spl0_16|~spl0_3|~spl0_4),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f2546,f1818])).
% 0.16/0.49 fof(f2548,plain,(
% 0.16/0.49 ~spl0_16|~spl0_3|~spl0_4),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f2547])).
% 0.16/0.49 fof(f2550,plain,(
% 0.16/0.49 multiply(identity,sk_c7)=sk_c8|~spl0_3|~spl0_4|~spl0_5),
% 0.16/0.49 inference(backward_demodulation,[status(thm)],[f2546,f114])).
% 0.16/0.49 fof(f2551,plain,(
% 0.16/0.49 sk_c7=sk_c8|~spl0_3|~spl0_4|~spl0_5),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f47,f2550])).
% 0.16/0.49 fof(f2557,plain,(
% 0.16/0.49 ~identity=identity|~spl0_3|~spl0_4|spl0_31),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f2546,f1795])).
% 0.16/0.49 fof(f2558,plain,(
% 0.16/0.49 $false|~spl0_3|~spl0_4|spl0_31),
% 0.16/0.49 inference(trivial_equality_resolution,[status(esa)],[f2557])).
% 0.16/0.49 fof(f2559,plain,(
% 0.16/0.49 ~spl0_3|~spl0_4|spl0_31),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f2558])).
% 0.16/0.49 fof(f2679,plain,(
% 0.16/0.49 sk_c8=identity|~spl0_9|~spl0_10),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f136,f712])).
% 0.16/0.49 fof(f2680,plain,(
% 0.16/0.49 $false|spl0_23|~spl0_9|~spl0_10),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f2679,f874])).
% 0.16/0.49 fof(f2681,plain,(
% 0.16/0.49 spl0_23|~spl0_9|~spl0_10),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f2680])).
% 0.16/0.49 fof(f2683,plain,(
% 0.16/0.49 sk_c7=identity|~spl0_6|~spl0_7),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f118,f680])).
% 0.16/0.49 fof(f3051,plain,(
% 0.16/0.49 sk_c8=identity|~spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f2551,f2683])).
% 0.16/0.49 fof(f3052,plain,(
% 0.16/0.49 $false|spl0_23|~spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f3051,f874])).
% 0.16/0.49 fof(f3053,plain,(
% 0.16/0.49 spl0_23|~spl0_3|~spl0_4|~spl0_5|~spl0_6|~spl0_7),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f3052])).
% 0.16/0.49 fof(f3054,plain,(
% 0.16/0.49 ~sk_c8=identity|~spl0_31|spl0_22),
% 0.16/0.49 inference(backward_demodulation,[status(thm)],[f1794,f877])).
% 0.16/0.49 fof(f3055,plain,(
% 0.16/0.49 ~spl0_23|~spl0_31|spl0_22),
% 0.16/0.49 inference(split_clause,[status(thm)],[f3054,f872,f1793,f869])).
% 0.16/0.49 fof(f3058,plain,(
% 0.16/0.49 ~identity=sk_c8|spl0_26),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f218,f1667])).
% 0.16/0.49 fof(f3059,plain,(
% 0.16/0.49 ~spl0_23|spl0_26),
% 0.16/0.49 inference(split_clause,[status(thm)],[f3058,f872,f1665])).
% 0.16/0.49 fof(f3163,plain,(
% 0.16/0.49 multiply(sk_c1,sk_c10)=identity|~spl0_8),
% 0.16/0.49 inference(paramodulation,[status(thm)],[f126,f209])).
% 0.16/0.49 fof(f3164,plain,(
% 0.16/0.49 sk_c9=identity|~spl0_0|~spl0_8),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f95,f3163])).
% 0.16/0.49 fof(f3165,plain,(
% 0.16/0.49 $false|spl0_31|~spl0_0|~spl0_8),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f3164,f1795])).
% 0.16/0.49 fof(f3166,plain,(
% 0.16/0.49 spl0_31|~spl0_0|~spl0_8),
% 0.16/0.49 inference(contradiction_clause,[status(thm)],[f3165])).
% 0.16/0.49 fof(f3167,plain,(
% 0.16/0.49 ~sk_c9=identity|~spl0_23|spl0_27),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f873,f1670])).
% 0.16/0.49 fof(f3168,plain,(
% 0.16/0.49 ~spl0_31|~spl0_23|spl0_27),
% 0.16/0.49 inference(split_clause,[status(thm)],[f3167,f1793,f872,f1668])).
% 0.16/0.49 fof(f3329,plain,(
% 0.16/0.49 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=identity|~inverse(X0)=sk_c9|~spl0_23|~spl0_17)),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f873,f191])).
% 0.16/0.49 fof(f5940,plain,(
% 0.16/0.49 ![X0]: (~multiply(identity,multiply(X0,sk_c9))=identity|~inverse(X0)=sk_c9|~spl0_31|~spl0_23|~spl0_17)),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f1794,f3329])).
% 0.16/0.49 fof(f5941,plain,(
% 0.16/0.49 ![X0]: (~multiply(X0,sk_c9)=identity|~inverse(X0)=sk_c9|~spl0_31|~spl0_23|~spl0_17)),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f47,f5940])).
% 0.16/0.49 fof(f5942,plain,(
% 0.16/0.49 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c9|~spl0_31|~spl0_23|~spl0_17)),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f1794,f5941])).
% 0.16/0.49 fof(f5943,plain,(
% 0.16/0.49 ![X0]: (~X0=identity|~inverse(X0)=sk_c9|~spl0_31|~spl0_23|~spl0_17)),
% 0.16/0.49 inference(forward_demodulation,[status(thm)],[f237,f5942])).
% 0.16/0.49 fof(f5944,plain,(
% 0.16/0.50 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_31|~spl0_23|~spl0_17)),
% 0.16/0.50 inference(forward_demodulation,[status(thm)],[f1794,f5943])).
% 0.16/0.50 fof(f5945,plain,(
% 0.16/0.50 ~inverse(identity)=identity|~spl0_31|~spl0_23|~spl0_17),
% 0.16/0.50 inference(destructive_equality_resolution,[status(esa)],[f5944])).
% 0.16/0.50 fof(f5946,plain,(
% 0.16/0.50 $false|~spl0_31|~spl0_23|~spl0_17),
% 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f5945,f218])).
% 0.16/0.50 fof(f5947,plain,(
% 0.16/0.50 ~spl0_31|~spl0_23|~spl0_17),
% 0.16/0.50 inference(contradiction_clause,[status(thm)],[f5946])).
% 0.16/0.50 fof(f5948,plain,(
% 0.16/0.50 $false),
% 0.16/0.50 inference(sat_refutation,[status(thm)],[f108,f112,f130,f131,f140,f141,f142,f143,f144,f150,f151,f152,f153,f154,f190,f876,f1672,f1675,f1782,f1792,f1804,f1817,f2548,f2559,f2681,f3053,f3055,f3059,f3166,f3168,f5947])).
% 0.16/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.51 % Elapsed time: 0.182172 seconds
% 0.16/0.51 % CPU time: 1.279685 seconds
% 0.16/0.51 % Total memory used: 84.371 MB
% 0.16/0.51 % Net memory used: 83.395 MB
%------------------------------------------------------------------------------