TSTP Solution File: GRP285-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n029.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 12:11:13 EDT 2023
% Result : Unsatisfiable 0.14s 0.37s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP285-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n029.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 11:42:37 EDT 2023
% 0.09/0.33 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.37 fof(f1,axiom,(
% 0.14/0.37 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f2,axiom,(
% 0.14/0.37 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f3,axiom,(
% 0.14/0.37 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f4,negated_conjecture,(
% 0.14/0.37 ( multiply(sk_c9,sk_c8) = sk_c7| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f5,negated_conjecture,(
% 0.14/0.37 ( multiply(sk_c9,sk_c8) = sk_c7| inverse(sk_c3) = sk_c9 ) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f8,negated_conjecture,(
% 0.14/0.37 ( multiply(sk_c9,sk_c8) = sk_c7| multiply(sk_c9,sk_c6) = sk_c7 ) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f9,negated_conjecture,(
% 0.14/0.37 ( multiply(sk_c9,sk_c8) = sk_c7| multiply(sk_c5,sk_c9) = sk_c6 ) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f10,negated_conjecture,(
% 0.14/0.37 ( multiply(sk_c9,sk_c8) = sk_c7| inverse(sk_c5) = sk_c9 ) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f11,negated_conjecture,(
% 0.14/0.37 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f12,negated_conjecture,(
% 0.14/0.37 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c3) = sk_c9 ) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f18,negated_conjecture,(
% 0.14/0.37 ( inverse(sk_c1) = sk_c9| multiply(sk_c3,sk_c9) = sk_c8 ) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f19,negated_conjecture,(
% 0.14/0.37 ( inverse(sk_c1) = sk_c9| inverse(sk_c3) = sk_c9 ) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f29,negated_conjecture,(
% 0.14/0.37 ( multiply(sk_c2,sk_c9) = sk_c7| multiply(sk_c9,sk_c6) = sk_c7 ) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f30,negated_conjecture,(
% 0.14/0.37 ( multiply(sk_c2,sk_c9) = sk_c7| multiply(sk_c5,sk_c9) = sk_c6 ) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f31,negated_conjecture,(
% 0.14/0.37 ( multiply(sk_c2,sk_c9) = sk_c7| inverse(sk_c5) = sk_c9 ) ),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f32,negated_conjecture,(
% 0.14/0.37 (![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 ) ))),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f33,plain,(
% 0.14/0.37 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.37 fof(f34,plain,(
% 0.14/0.37 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.37 fof(f35,plain,(
% 0.14/0.37 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.37 fof(f36,plain,(
% 0.14/0.37 multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c3,sk_c9)=sk_c8),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.37 fof(f37,plain,(
% 0.14/0.37 multiply(sk_c9,sk_c8)=sk_c7|inverse(sk_c3)=sk_c9),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.37 fof(f40,plain,(
% 0.14/0.37 multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c9,sk_c6)=sk_c7),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.37 fof(f41,plain,(
% 0.14/0.37 multiply(sk_c9,sk_c8)=sk_c7|multiply(sk_c5,sk_c9)=sk_c6),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.37 fof(f42,plain,(
% 0.14/0.37 multiply(sk_c9,sk_c8)=sk_c7|inverse(sk_c5)=sk_c9),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.37 fof(f43,plain,(
% 0.14/0.37 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c3,sk_c9)=sk_c8),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f11])).
% 0.14/0.37 fof(f44,plain,(
% 0.14/0.37 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c3)=sk_c9),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.37 fof(f50,plain,(
% 0.14/0.37 inverse(sk_c1)=sk_c9|multiply(sk_c3,sk_c9)=sk_c8),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f18])).
% 0.14/0.37 fof(f51,plain,(
% 0.14/0.37 inverse(sk_c1)=sk_c9|inverse(sk_c3)=sk_c9),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f19])).
% 0.14/0.37 fof(f61,plain,(
% 0.14/0.37 multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c9,sk_c6)=sk_c7),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f29])).
% 0.14/0.37 fof(f62,plain,(
% 0.14/0.37 multiply(sk_c2,sk_c9)=sk_c7|multiply(sk_c5,sk_c9)=sk_c6),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f30])).
% 0.14/0.37 fof(f63,plain,(
% 0.14/0.37 multiply(sk_c2,sk_c9)=sk_c7|inverse(sk_c5)=sk_c9),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f31])).
% 0.14/0.37 fof(f64,plain,(
% 0.14/0.37 ![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)),
% 0.14/0.37 inference(miniscoping,[status(esa)],[f32])).
% 0.14/0.37 fof(f65,plain,(
% 0.14/0.37 ![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)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f64])).
% 0.14/0.37 fof(f66,plain,(
% 0.14/0.37 spl0_0 <=> multiply(sk_c9,sk_c8)=sk_c7),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f67,plain,(
% 0.14/0.37 multiply(sk_c9,sk_c8)=sk_c7|~spl0_0),
% 0.14/0.37 inference(component_clause,[status(thm)],[f66])).
% 0.14/0.37 fof(f68,plain,(
% 0.14/0.37 ~multiply(sk_c9,sk_c8)=sk_c7|spl0_0),
% 0.14/0.37 inference(component_clause,[status(thm)],[f66])).
% 0.14/0.37 fof(f69,plain,(
% 0.14/0.37 spl0_1 <=> multiply(sk_c3,sk_c9)=sk_c8),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f70,plain,(
% 0.14/0.37 multiply(sk_c3,sk_c9)=sk_c8|~spl0_1),
% 0.14/0.37 inference(component_clause,[status(thm)],[f69])).
% 0.14/0.37 fof(f72,plain,(
% 0.14/0.37 spl0_0|spl0_1),
% 0.14/0.37 inference(split_clause,[status(thm)],[f36,f66,f69])).
% 0.14/0.37 fof(f73,plain,(
% 0.14/0.37 spl0_2 <=> inverse(sk_c3)=sk_c9),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f74,plain,(
% 0.14/0.37 inverse(sk_c3)=sk_c9|~spl0_2),
% 0.14/0.37 inference(component_clause,[status(thm)],[f73])).
% 0.14/0.37 fof(f76,plain,(
% 0.14/0.37 spl0_0|spl0_2),
% 0.14/0.37 inference(split_clause,[status(thm)],[f37,f66,f73])).
% 0.14/0.37 fof(f85,plain,(
% 0.14/0.37 spl0_5 <=> multiply(sk_c9,sk_c6)=sk_c7),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f86,plain,(
% 0.14/0.37 multiply(sk_c9,sk_c6)=sk_c7|~spl0_5),
% 0.14/0.37 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.37 fof(f88,plain,(
% 0.14/0.37 spl0_0|spl0_5),
% 0.14/0.37 inference(split_clause,[status(thm)],[f40,f66,f85])).
% 0.14/0.37 fof(f89,plain,(
% 0.14/0.37 spl0_6 <=> multiply(sk_c5,sk_c9)=sk_c6),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f90,plain,(
% 0.14/0.37 multiply(sk_c5,sk_c9)=sk_c6|~spl0_6),
% 0.14/0.37 inference(component_clause,[status(thm)],[f89])).
% 0.14/0.37 fof(f92,plain,(
% 0.14/0.37 spl0_0|spl0_6),
% 0.14/0.37 inference(split_clause,[status(thm)],[f41,f66,f89])).
% 0.14/0.37 fof(f93,plain,(
% 0.14/0.37 spl0_7 <=> inverse(sk_c5)=sk_c9),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f94,plain,(
% 0.14/0.37 inverse(sk_c5)=sk_c9|~spl0_7),
% 0.14/0.37 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.37 fof(f96,plain,(
% 0.14/0.37 spl0_0|spl0_7),
% 0.14/0.37 inference(split_clause,[status(thm)],[f42,f66,f93])).
% 0.14/0.37 fof(f97,plain,(
% 0.14/0.37 spl0_8 <=> multiply(sk_c1,sk_c9)=sk_c8),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f98,plain,(
% 0.14/0.37 multiply(sk_c1,sk_c9)=sk_c8|~spl0_8),
% 0.14/0.37 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.37 fof(f100,plain,(
% 0.14/0.37 spl0_8|spl0_1),
% 0.14/0.37 inference(split_clause,[status(thm)],[f43,f97,f69])).
% 0.14/0.37 fof(f101,plain,(
% 0.14/0.37 spl0_8|spl0_2),
% 0.14/0.37 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.14/0.37 fof(f107,plain,(
% 0.14/0.37 spl0_9 <=> inverse(sk_c1)=sk_c9),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f108,plain,(
% 0.14/0.37 inverse(sk_c1)=sk_c9|~spl0_9),
% 0.14/0.37 inference(component_clause,[status(thm)],[f107])).
% 0.14/0.37 fof(f110,plain,(
% 0.14/0.37 spl0_9|spl0_1),
% 0.14/0.37 inference(split_clause,[status(thm)],[f50,f107,f69])).
% 0.14/0.37 fof(f111,plain,(
% 0.14/0.37 spl0_9|spl0_2),
% 0.14/0.37 inference(split_clause,[status(thm)],[f51,f107,f73])).
% 0.14/0.37 fof(f117,plain,(
% 0.14/0.37 spl0_10 <=> multiply(sk_c2,sk_c9)=sk_c7),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f118,plain,(
% 0.14/0.37 multiply(sk_c2,sk_c9)=sk_c7|~spl0_10),
% 0.14/0.37 inference(component_clause,[status(thm)],[f117])).
% 0.14/0.37 fof(f124,plain,(
% 0.14/0.37 spl0_10|spl0_5),
% 0.14/0.37 inference(split_clause,[status(thm)],[f61,f117,f85])).
% 0.14/0.37 fof(f125,plain,(
% 0.14/0.37 spl0_10|spl0_6),
% 0.14/0.37 inference(split_clause,[status(thm)],[f62,f117,f89])).
% 0.14/0.37 fof(f126,plain,(
% 0.14/0.37 spl0_10|spl0_7),
% 0.14/0.37 inference(split_clause,[status(thm)],[f63,f117,f93])).
% 0.14/0.37 fof(f127,plain,(
% 0.14/0.37 spl0_11 <=> ~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f128,plain,(
% 0.14/0.37 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~spl0_11)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f127])).
% 0.14/0.37 fof(f130,plain,(
% 0.14/0.37 spl0_12 <=> ~multiply(X1,sk_c9)=sk_c7),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f131,plain,(
% 0.14/0.37 ![X0]: (~multiply(X0,sk_c9)=sk_c7|~spl0_12)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f130])).
% 0.14/0.37 fof(f133,plain,(
% 0.14/0.37 spl0_13 <=> ~multiply(X3,sk_c7)=sk_c8|~inverse(X3)=sk_c7),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f134,plain,(
% 0.14/0.37 ![X0]: (~multiply(X0,sk_c7)=sk_c8|~inverse(X0)=sk_c7|~spl0_13)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.37 fof(f136,plain,(
% 0.14/0.37 spl0_14 <=> ~multiply(sk_c9,X4)=sk_c7|~multiply(X5,sk_c9)=X4|~inverse(X5)=sk_c9),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f137,plain,(
% 0.14/0.37 ![X0,X1]: (~multiply(sk_c9,X0)=sk_c7|~multiply(X1,sk_c9)=X0|~inverse(X1)=sk_c9|~spl0_14)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f136])).
% 0.14/0.37 fof(f139,plain,(
% 0.14/0.37 ~spl0_0|spl0_11|spl0_12|spl0_13|spl0_14),
% 0.14/0.37 inference(split_clause,[status(thm)],[f65,f66,f127,f130,f133,f136])).
% 0.14/0.37 fof(f140,plain,(
% 0.14/0.37 ![X0]: (~multiply(sk_c9,multiply(X0,sk_c9))=sk_c7|~inverse(X0)=sk_c9|~spl0_14)),
% 0.14/0.37 inference(destructive_equality_resolution,[status(esa)],[f137])).
% 0.14/0.37 fof(f145,plain,(
% 0.14/0.37 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f34,f35])).
% 0.14/0.37 fof(f146,plain,(
% 0.14/0.37 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f33,f145])).
% 0.14/0.37 fof(f147,plain,(
% 0.14/0.37 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f146,f146])).
% 0.14/0.37 fof(f148,plain,(
% 0.14/0.37 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f34,f146])).
% 0.14/0.37 fof(f157,plain,(
% 0.14/0.37 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f146,f147])).
% 0.14/0.37 fof(f158,plain,(
% 0.14/0.37 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f34,f147])).
% 0.14/0.37 fof(f186,plain,(
% 0.14/0.37 ![X0]: (X0=multiply(X0,identity))),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f147,f148])).
% 0.14/0.37 fof(f187,plain,(
% 0.14/0.37 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f147,f186])).
% 0.14/0.37 fof(f188,plain,(
% 0.14/0.37 ![X0]: (inverse(inverse(X0))=X0)),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f186,f187])).
% 0.14/0.37 fof(f614,plain,(
% 0.14/0.37 multiply(sk_c1,sk_c9)=identity|~spl0_9),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f108,f158])).
% 0.14/0.37 fof(f619,plain,(
% 0.14/0.37 multiply(sk_c5,sk_c9)=identity|~spl0_7),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f94,f158])).
% 0.14/0.37 fof(f629,plain,(
% 0.14/0.37 multiply(sk_c3,sk_c9)=identity|~spl0_2),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f74,f158])).
% 0.14/0.37 fof(f701,plain,(
% 0.14/0.37 spl0_15 <=> sk_c9=sk_c7),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f703,plain,(
% 0.14/0.37 ~sk_c9=sk_c7|spl0_15),
% 0.14/0.37 inference(component_clause,[status(thm)],[f701])).
% 0.14/0.37 fof(f704,plain,(
% 0.14/0.37 spl0_16 <=> inverse(inverse(sk_c9))=sk_c9),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f706,plain,(
% 0.14/0.37 ~inverse(inverse(sk_c9))=sk_c9|spl0_16),
% 0.14/0.37 inference(component_clause,[status(thm)],[f704])).
% 0.14/0.37 fof(f707,plain,(
% 0.14/0.37 ~sk_c9=sk_c7|~inverse(inverse(sk_c9))=sk_c9|~spl0_14),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f157,f140])).
% 0.14/0.37 fof(f708,plain,(
% 0.14/0.37 ~spl0_15|~spl0_16|~spl0_14),
% 0.14/0.37 inference(split_clause,[status(thm)],[f707,f701,f704,f136])).
% 0.14/0.37 fof(f721,plain,(
% 0.14/0.37 spl0_19 <=> multiply(sk_c9,identity)=sk_c7),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f724,plain,(
% 0.14/0.37 ~multiply(sk_c9,identity)=sk_c7|~inverse(inverse(sk_c9))=sk_c9|~spl0_14),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f34,f140])).
% 0.14/0.37 fof(f725,plain,(
% 0.14/0.37 ~spl0_19|~spl0_16|~spl0_14),
% 0.14/0.37 inference(split_clause,[status(thm)],[f724,f721,f704,f136])).
% 0.14/0.37 fof(f737,plain,(
% 0.14/0.37 ~sk_c9=sk_c9|spl0_16),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f188,f706])).
% 0.14/0.37 fof(f738,plain,(
% 0.14/0.37 $false|spl0_16),
% 0.14/0.37 inference(trivial_equality_resolution,[status(esa)],[f737])).
% 0.14/0.37 fof(f739,plain,(
% 0.14/0.37 spl0_16),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f738])).
% 0.14/0.37 fof(f761,plain,(
% 0.14/0.37 $false|~spl0_12|~spl0_10),
% 0.14/0.37 inference(backward_subsumption_resolution,[status(thm)],[f118,f131])).
% 0.14/0.37 fof(f762,plain,(
% 0.14/0.37 ~spl0_12|~spl0_10),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f761])).
% 0.14/0.37 fof(f788,plain,(
% 0.14/0.37 spl0_22 <=> identity=sk_c8),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f789,plain,(
% 0.14/0.37 identity=sk_c8|~spl0_22),
% 0.14/0.37 inference(component_clause,[status(thm)],[f788])).
% 0.14/0.37 fof(f790,plain,(
% 0.14/0.37 ~identity=sk_c8|spl0_22),
% 0.14/0.37 inference(component_clause,[status(thm)],[f788])).
% 0.14/0.37 fof(f791,plain,(
% 0.14/0.37 ~identity=sk_c8|~inverse(inverse(sk_c9))=sk_c9|~spl0_11),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f34,f128])).
% 0.14/0.37 fof(f792,plain,(
% 0.14/0.37 ~spl0_22|~spl0_16|~spl0_11),
% 0.14/0.37 inference(split_clause,[status(thm)],[f791,f788,f704,f127])).
% 0.14/0.37 fof(f1623,plain,(
% 0.14/0.37 sk_c8=identity|~spl0_8|~spl0_9),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f98,f614])).
% 0.14/0.37 fof(f1624,plain,(
% 0.14/0.37 $false|spl0_22|~spl0_8|~spl0_9),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f1623,f790])).
% 0.14/0.37 fof(f1625,plain,(
% 0.14/0.37 spl0_22|~spl0_8|~spl0_9),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f1624])).
% 0.14/0.37 fof(f1626,plain,(
% 0.14/0.37 sk_c8=identity|~spl0_1|~spl0_2),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f70,f629])).
% 0.14/0.37 fof(f1626,plain,(
% 0.14/0.37 sk_c8=identity|~spl0_1|~spl0_2),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f70,f629])).
% 0.14/0.37 fof(f1632,plain,(
% 0.14/0.37 sk_c6=identity|~spl0_6|~spl0_7),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f90,f619])).
% 0.14/0.37 fof(f1649,plain,(
% 0.14/0.37 ~multiply(sk_c9,identity)=sk_c7|~spl0_1|~spl0_2|spl0_0),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f1626,f68])).
% 0.14/0.37 fof(f1650,plain,(
% 0.14/0.37 ~sk_c9=sk_c7|~spl0_1|~spl0_2|spl0_0),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f186,f1649])).
% 0.14/0.37 fof(f1652,plain,(
% 0.14/0.37 multiply(sk_c9,identity)=sk_c7|~spl0_6|~spl0_7|~spl0_5),
% 0.14/0.37 inference(backward_demodulation,[status(thm)],[f1632,f86])).
% 0.14/0.37 fof(f1653,plain,(
% 0.14/0.37 sk_c9=sk_c7|~spl0_6|~spl0_7|~spl0_5),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f186,f1652])).
% 0.14/0.37 fof(f1654,plain,(
% 0.14/0.37 $false|~spl0_1|~spl0_2|spl0_0|~spl0_6|~spl0_7|~spl0_5),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f1653,f1650])).
% 0.14/0.37 fof(f1655,plain,(
% 0.14/0.37 ~spl0_1|~spl0_2|spl0_0|~spl0_6|~spl0_7|~spl0_5),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f1654])).
% 0.14/0.37 fof(f1660,plain,(
% 0.14/0.37 spl0_24 <=> sk_c8=sk_c8),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f1662,plain,(
% 0.14/0.37 ~sk_c8=sk_c8|spl0_24),
% 0.14/0.37 inference(component_clause,[status(thm)],[f1660])).
% 0.14/0.37 fof(f1667,plain,(
% 0.14/0.37 spl0_25 <=> inverse(inverse(sk_c7))=sk_c7),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f1669,plain,(
% 0.14/0.37 ~inverse(inverse(sk_c7))=sk_c7|spl0_25),
% 0.14/0.37 inference(component_clause,[status(thm)],[f1667])).
% 0.14/0.37 fof(f1670,plain,(
% 0.14/0.37 ~identity=sk_c8|~inverse(inverse(sk_c7))=sk_c7|~spl0_13),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f34,f134])).
% 0.14/0.37 fof(f1671,plain,(
% 0.14/0.37 ~spl0_22|~spl0_25|~spl0_13),
% 0.14/0.37 inference(split_clause,[status(thm)],[f1670,f788,f1667,f133])).
% 0.14/0.37 fof(f1683,plain,(
% 0.14/0.37 spl0_22|~spl0_1|~spl0_2),
% 0.14/0.37 inference(split_clause,[status(thm)],[f1626,f788,f69,f73])).
% 0.14/0.37 fof(f1687,plain,(
% 0.14/0.37 ~sk_c9=sk_c7|~spl0_12),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f33,f131])).
% 0.14/0.37 fof(f1691,plain,(
% 0.14/0.37 multiply(sk_c9,identity)=sk_c7|~spl0_6|~spl0_7|~spl0_5),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f1632,f86])).
% 0.14/0.37 fof(f1692,plain,(
% 0.14/0.37 sk_c9=sk_c7|~spl0_6|~spl0_7|~spl0_5),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f186,f1691])).
% 0.14/0.37 fof(f2359,plain,(
% 0.14/0.37 ~sk_c9=sk_c9|~spl0_6|~spl0_7|~spl0_5|~spl0_12),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f1692,f1687])).
% 0.14/0.37 fof(f2360,plain,(
% 0.14/0.37 $false|~spl0_6|~spl0_7|~spl0_5|~spl0_12),
% 0.14/0.37 inference(trivial_equality_resolution,[status(esa)],[f2359])).
% 0.14/0.37 fof(f2361,plain,(
% 0.14/0.37 ~spl0_6|~spl0_7|~spl0_5|~spl0_12),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f2360])).
% 0.14/0.37 fof(f2362,plain,(
% 0.14/0.37 ~sk_c7=sk_c7|spl0_25),
% 0.29/0.60 inference(forward_demodulation,[status(thm)],[f188,f1669])).
% 0.29/0.60 fof(f2363,plain,(
% 0.29/0.60 $false|spl0_25),
% 0.29/0.60 inference(trivial_equality_resolution,[status(esa)],[f2362])).
% 0.29/0.60 fof(f2364,plain,(
% 0.29/0.60 spl0_25),
% 0.29/0.60 inference(contradiction_clause,[status(thm)],[f2363])).
% 0.29/0.60 fof(f2368,plain,(
% 0.29/0.60 ~identity=sk_c8|~spl0_22|spl0_24),
% 0.29/0.60 inference(forward_demodulation,[status(thm)],[f789,f1662])).
% 0.29/0.60 fof(f2369,plain,(
% 0.29/0.60 ~identity=identity|~spl0_22|spl0_24),
% 0.29/0.60 inference(forward_demodulation,[status(thm)],[f789,f2368])).
% 0.29/0.60 fof(f2370,plain,(
% 0.29/0.60 $false|~spl0_22|spl0_24),
% 0.29/0.60 inference(trivial_equality_resolution,[status(esa)],[f2369])).
% 0.29/0.60 fof(f2371,plain,(
% 0.29/0.60 ~spl0_22|spl0_24),
% 0.29/0.60 inference(contradiction_clause,[status(thm)],[f2370])).
% 0.29/0.60 fof(f2383,plain,(
% 0.29/0.60 multiply(sk_c9,identity)=sk_c7|~spl0_22|~spl0_0),
% 0.29/0.60 inference(forward_demodulation,[status(thm)],[f789,f67])).
% 0.29/0.60 fof(f2384,plain,(
% 0.29/0.60 sk_c9=sk_c7|~spl0_22|~spl0_0),
% 0.29/0.60 inference(forward_demodulation,[status(thm)],[f186,f2383])).
% 0.29/0.60 fof(f2417,plain,(
% 0.29/0.60 ~sk_c9=sk_c9|~spl0_22|~spl0_0|spl0_15),
% 0.29/0.60 inference(forward_demodulation,[status(thm)],[f2384,f703])).
% 0.29/0.60 fof(f2418,plain,(
% 0.29/0.60 $false|~spl0_22|~spl0_0|spl0_15),
% 0.29/0.60 inference(trivial_equality_resolution,[status(esa)],[f2417])).
% 0.29/0.60 fof(f2419,plain,(
% 0.29/0.60 ~spl0_22|~spl0_0|spl0_15),
% 0.29/0.60 inference(contradiction_clause,[status(thm)],[f2418])).
% 0.29/0.60 fof(f2420,plain,(
% 0.29/0.60 $false),
% 0.29/0.60 inference(sat_refutation,[status(thm)],[f72,f76,f88,f92,f96,f100,f101,f110,f111,f124,f125,f126,f139,f708,f725,f739,f762,f792,f1625,f1655,f1671,f1683,f2361,f2364,f2371,f2419])).
% 0.29/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.29/0.60 % Elapsed time: 0.060167 seconds
% 0.29/0.60 % CPU time: 0.112319 seconds
% 0.29/0.60 % Memory used: 20.104 MB
%------------------------------------------------------------------------------