TSTP Solution File: GRP253-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP253-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:19:52 EDT 2024
% Result : Unsatisfiable 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GRP253-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n009.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 00:30:26 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.19/0.50 % Refutation found
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.50 fof(f1,axiom,(
% 0.19/0.50 (![X]: (multiply(identity,X) = X ))),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f2,axiom,(
% 0.19/0.50 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f3,axiom,(
% 0.19/0.50 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f4,negated_conjecture,(
% 0.19/0.50 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f5,negated_conjecture,(
% 0.19/0.50 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f6,negated_conjecture,(
% 0.19/0.50 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f7,negated_conjecture,(
% 0.19/0.50 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f8,negated_conjecture,(
% 0.19/0.50 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f9,negated_conjecture,(
% 0.19/0.50 ( inverse(sk_c1) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f10,negated_conjecture,(
% 0.19/0.50 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f12,negated_conjecture,(
% 0.19/0.50 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c5) = sk_c6 ) ),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f13,negated_conjecture,(
% 0.19/0.50 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c7) = sk_c6 ) ),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f15,negated_conjecture,(
% 0.19/0.50 ( inverse(sk_c2) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f17,negated_conjecture,(
% 0.19/0.50 ( inverse(sk_c3) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f20,negated_conjecture,(
% 0.19/0.50 ( multiply(sk_c3,sk_c5) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f22,negated_conjecture,(
% 0.19/0.50 (![X2,X3,X4,X1]: (( multiply(X2,sk_c7) != sk_c6| inverse(X2) != sk_c7| multiply(X3,sk_c6) != sk_c5| inverse(X3) != sk_c6| inverse(X4) != sk_c6| multiply(X4,sk_c5) != sk_c6| multiply(X1,sk_c7) != sk_c6| inverse(X1) != sk_c7| inverse(sk_c5) != sk_c6 ) ))),
% 0.19/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.50 fof(f23,plain,(
% 0.19/0.50 ![X0]: (multiply(identity,X0)=X0)),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f1])).
% 0.19/0.50 fof(f24,plain,(
% 0.19/0.50 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f2])).
% 0.19/0.50 fof(f25,plain,(
% 0.19/0.50 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.50 fof(f26,plain,(
% 0.19/0.50 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f4])).
% 0.19/0.50 fof(f27,plain,(
% 0.19/0.50 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f5])).
% 0.19/0.50 fof(f28,plain,(
% 0.19/0.50 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f6])).
% 0.19/0.50 fof(f29,plain,(
% 0.19/0.50 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c7)=sk_c6),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f7])).
% 0.19/0.50 fof(f30,plain,(
% 0.19/0.50 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f8])).
% 0.19/0.50 fof(f31,plain,(
% 0.19/0.50 inverse(sk_c1)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f9])).
% 0.19/0.50 fof(f32,plain,(
% 0.19/0.50 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c4,sk_c7)=sk_c6),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f10])).
% 0.19/0.50 fof(f34,plain,(
% 0.19/0.50 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c5)=sk_c6),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f12])).
% 0.19/0.50 fof(f35,plain,(
% 0.19/0.50 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c7)=sk_c6),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f13])).
% 0.19/0.50 fof(f37,plain,(
% 0.19/0.50 inverse(sk_c2)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f15])).
% 0.19/0.50 fof(f39,plain,(
% 0.19/0.50 inverse(sk_c3)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f17])).
% 0.19/0.50 fof(f42,plain,(
% 0.19/0.50 multiply(sk_c3,sk_c5)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f20])).
% 0.19/0.50 fof(f44,plain,(
% 0.19/0.50 (![X1]: (((![X4]: (((![X3]: (((![X2]: (~multiply(X2,sk_c7)=sk_c6|~inverse(X2)=sk_c7))|~multiply(X3,sk_c6)=sk_c5)|~inverse(X3)=sk_c6))|~inverse(X4)=sk_c6)|~multiply(X4,sk_c5)=sk_c6))|~multiply(X1,sk_c7)=sk_c6)|~inverse(X1)=sk_c7))|~inverse(sk_c5)=sk_c6),
% 0.19/0.50 inference(miniscoping,[status(esa)],[f22])).
% 0.19/0.50 fof(f45,plain,(
% 0.19/0.50 ![X0,X1,X2,X3]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6|~inverse(X2)=sk_c6|~multiply(X2,sk_c5)=sk_c6|~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7|~inverse(sk_c5)=sk_c6)),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f44])).
% 0.19/0.50 fof(f46,plain,(
% 0.19/0.50 spl0_0 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f47,plain,(
% 0.19/0.50 multiply(sk_c1,sk_c7)=sk_c6|~spl0_0),
% 0.19/0.50 inference(component_clause,[status(thm)],[f46])).
% 0.19/0.50 fof(f49,plain,(
% 0.19/0.50 spl0_1 <=> multiply(sk_c4,sk_c7)=sk_c6),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f50,plain,(
% 0.19/0.50 multiply(sk_c4,sk_c7)=sk_c6|~spl0_1),
% 0.19/0.50 inference(component_clause,[status(thm)],[f49])).
% 0.19/0.50 fof(f51,plain,(
% 0.19/0.50 ~multiply(sk_c4,sk_c7)=sk_c6|spl0_1),
% 0.19/0.50 inference(component_clause,[status(thm)],[f49])).
% 0.19/0.50 fof(f52,plain,(
% 0.19/0.50 spl0_0|spl0_1),
% 0.19/0.50 inference(split_clause,[status(thm)],[f26,f46,f49])).
% 0.19/0.50 fof(f53,plain,(
% 0.19/0.50 spl0_2 <=> inverse(sk_c4)=sk_c7),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f54,plain,(
% 0.19/0.50 inverse(sk_c4)=sk_c7|~spl0_2),
% 0.19/0.50 inference(component_clause,[status(thm)],[f53])).
% 0.19/0.50 fof(f55,plain,(
% 0.19/0.50 ~inverse(sk_c4)=sk_c7|spl0_2),
% 0.19/0.50 inference(component_clause,[status(thm)],[f53])).
% 0.19/0.50 fof(f56,plain,(
% 0.19/0.50 spl0_0|spl0_2),
% 0.19/0.50 inference(split_clause,[status(thm)],[f27,f46,f53])).
% 0.19/0.50 fof(f57,plain,(
% 0.19/0.50 spl0_3 <=> inverse(sk_c5)=sk_c6),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f58,plain,(
% 0.19/0.50 inverse(sk_c5)=sk_c6|~spl0_3),
% 0.19/0.50 inference(component_clause,[status(thm)],[f57])).
% 0.19/0.50 fof(f59,plain,(
% 0.19/0.50 ~inverse(sk_c5)=sk_c6|spl0_3),
% 0.19/0.50 inference(component_clause,[status(thm)],[f57])).
% 0.19/0.50 fof(f60,plain,(
% 0.19/0.50 spl0_0|spl0_3),
% 0.19/0.50 inference(split_clause,[status(thm)],[f28,f46,f57])).
% 0.19/0.50 fof(f61,plain,(
% 0.19/0.50 spl0_4 <=> inverse(sk_c1)=sk_c7),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f62,plain,(
% 0.19/0.50 inverse(sk_c1)=sk_c7|~spl0_4),
% 0.19/0.50 inference(component_clause,[status(thm)],[f61])).
% 0.19/0.50 fof(f64,plain,(
% 0.19/0.50 spl0_4|spl0_1),
% 0.19/0.50 inference(split_clause,[status(thm)],[f29,f61,f49])).
% 0.19/0.50 fof(f65,plain,(
% 0.19/0.50 spl0_4|spl0_2),
% 0.19/0.50 inference(split_clause,[status(thm)],[f30,f61,f53])).
% 0.19/0.50 fof(f66,plain,(
% 0.19/0.50 spl0_4|spl0_3),
% 0.19/0.50 inference(split_clause,[status(thm)],[f31,f61,f57])).
% 0.19/0.50 fof(f67,plain,(
% 0.19/0.50 spl0_5 <=> multiply(sk_c2,sk_c6)=sk_c5),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f68,plain,(
% 0.19/0.50 multiply(sk_c2,sk_c6)=sk_c5|~spl0_5),
% 0.19/0.50 inference(component_clause,[status(thm)],[f67])).
% 0.19/0.50 fof(f70,plain,(
% 0.19/0.50 spl0_5|spl0_1),
% 0.19/0.50 inference(split_clause,[status(thm)],[f32,f67,f49])).
% 0.19/0.50 fof(f72,plain,(
% 0.19/0.50 spl0_5|spl0_3),
% 0.19/0.50 inference(split_clause,[status(thm)],[f34,f67,f57])).
% 0.19/0.50 fof(f73,plain,(
% 0.19/0.50 spl0_6 <=> inverse(sk_c2)=sk_c6),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f74,plain,(
% 0.19/0.50 inverse(sk_c2)=sk_c6|~spl0_6),
% 0.19/0.50 inference(component_clause,[status(thm)],[f73])).
% 0.19/0.50 fof(f76,plain,(
% 0.19/0.50 spl0_6|spl0_1),
% 0.19/0.50 inference(split_clause,[status(thm)],[f35,f73,f49])).
% 0.19/0.50 fof(f78,plain,(
% 0.19/0.50 spl0_6|spl0_3),
% 0.19/0.50 inference(split_clause,[status(thm)],[f37,f73,f57])).
% 0.19/0.50 fof(f79,plain,(
% 0.19/0.50 spl0_7 <=> inverse(sk_c3)=sk_c6),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f80,plain,(
% 0.19/0.50 inverse(sk_c3)=sk_c6|~spl0_7),
% 0.19/0.50 inference(component_clause,[status(thm)],[f79])).
% 0.19/0.50 fof(f83,plain,(
% 0.19/0.50 spl0_7|spl0_2),
% 0.19/0.50 inference(split_clause,[status(thm)],[f39,f79,f53])).
% 0.19/0.50 fof(f85,plain,(
% 0.19/0.50 spl0_8 <=> multiply(sk_c3,sk_c5)=sk_c6),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f86,plain,(
% 0.19/0.50 multiply(sk_c3,sk_c5)=sk_c6|~spl0_8),
% 0.19/0.50 inference(component_clause,[status(thm)],[f85])).
% 0.19/0.50 fof(f89,plain,(
% 0.19/0.50 spl0_8|spl0_2),
% 0.19/0.50 inference(split_clause,[status(thm)],[f42,f85,f53])).
% 0.19/0.50 fof(f91,plain,(
% 0.19/0.50 spl0_9 <=> ~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f92,plain,(
% 0.19/0.50 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_9)),
% 0.19/0.50 inference(component_clause,[status(thm)],[f91])).
% 0.19/0.50 fof(f94,plain,(
% 0.19/0.50 spl0_10 <=> ~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f95,plain,(
% 0.19/0.50 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~spl0_10)),
% 0.19/0.50 inference(component_clause,[status(thm)],[f94])).
% 0.19/0.50 fof(f97,plain,(
% 0.19/0.50 spl0_11 <=> ~inverse(X2)=sk_c6|~multiply(X2,sk_c5)=sk_c6),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f98,plain,(
% 0.19/0.50 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~spl0_11)),
% 0.19/0.50 inference(component_clause,[status(thm)],[f97])).
% 0.19/0.50 fof(f100,plain,(
% 0.19/0.50 spl0_9|spl0_10|spl0_11|~spl0_3),
% 0.19/0.50 inference(split_clause,[status(thm)],[f45,f91,f94,f97,f57])).
% 0.19/0.50 fof(f105,plain,(
% 0.19/0.50 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.19/0.50 inference(paramodulation,[status(thm)],[f24,f25])).
% 0.19/0.50 fof(f106,plain,(
% 0.19/0.50 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.19/0.50 inference(forward_demodulation,[status(thm)],[f23,f105])).
% 0.19/0.50 fof(f107,plain,(
% 0.19/0.50 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.19/0.50 inference(paramodulation,[status(thm)],[f106,f106])).
% 0.19/0.50 fof(f108,plain,(
% 0.19/0.50 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.19/0.50 inference(paramodulation,[status(thm)],[f24,f106])).
% 0.19/0.50 fof(f110,plain,(
% 0.19/0.50 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.19/0.50 inference(paramodulation,[status(thm)],[f25,f106])).
% 0.19/0.50 fof(f118,plain,(
% 0.19/0.50 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.19/0.50 inference(paramodulation,[status(thm)],[f24,f107])).
% 0.19/0.50 fof(f127,plain,(
% 0.19/0.50 inverse(identity)=identity),
% 0.19/0.50 inference(paramodulation,[status(thm)],[f23,f118])).
% 0.19/0.50 fof(f146,plain,(
% 0.19/0.50 ![X0]: (X0=multiply(X0,identity))),
% 0.19/0.50 inference(forward_demodulation,[status(thm)],[f107,f108])).
% 0.19/0.51 fof(f147,plain,(
% 0.19/0.51 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f107,f146])).
% 0.19/0.51 fof(f148,plain,(
% 0.19/0.51 ![X0]: (inverse(inverse(X0))=X0)),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f146,f147])).
% 0.19/0.51 fof(f199,plain,(
% 0.19/0.51 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f118,f110])).
% 0.19/0.51 fof(f200,plain,(
% 0.19/0.51 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f146,f199])).
% 0.19/0.51 fof(f573,plain,(
% 0.19/0.51 inverse(sk_c7)=sk_c4|~spl0_2),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f54,f148])).
% 0.19/0.51 fof(f578,plain,(
% 0.19/0.51 inverse(sk_c6)=sk_c3|~spl0_7),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f80,f148])).
% 0.19/0.51 fof(f583,plain,(
% 0.19/0.51 inverse(sk_c6)=sk_c2|~spl0_6),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f74,f148])).
% 0.19/0.51 fof(f588,plain,(
% 0.19/0.51 inverse(sk_c7)=sk_c1|~spl0_4),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f62,f148])).
% 0.19/0.51 fof(f593,plain,(
% 0.19/0.51 inverse(sk_c6)=sk_c5|~spl0_3),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f58,f148])).
% 0.19/0.51 fof(f611,plain,(
% 0.19/0.51 multiply(sk_c4,sk_c7)=identity|~spl0_2),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f573,f24])).
% 0.19/0.51 fof(f612,plain,(
% 0.19/0.51 sk_c6=identity|~spl0_1|~spl0_2),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f50,f611])).
% 0.19/0.51 fof(f619,plain,(
% 0.19/0.51 inverse(identity)=sk_c2|~spl0_1|~spl0_2|~spl0_6),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f612,f583])).
% 0.19/0.51 fof(f620,plain,(
% 0.19/0.51 identity=sk_c2|~spl0_1|~spl0_2|~spl0_6),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f127,f619])).
% 0.19/0.51 fof(f621,plain,(
% 0.19/0.51 sk_c4=sk_c1|~spl0_2|~spl0_4),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f573,f588])).
% 0.19/0.51 fof(f622,plain,(
% 0.19/0.51 inverse(sk_c7)=sk_c1|~spl0_4|~spl0_2),
% 0.19/0.51 inference(backward_demodulation,[status(thm)],[f621,f573])).
% 0.19/0.51 fof(f624,plain,(
% 0.19/0.51 inverse(identity)=sk_c5|~spl0_1|~spl0_2|~spl0_3),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f612,f593])).
% 0.19/0.51 fof(f625,plain,(
% 0.19/0.51 identity=sk_c5|~spl0_1|~spl0_2|~spl0_3),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f127,f624])).
% 0.19/0.51 fof(f625,plain,(
% 0.19/0.51 identity=sk_c5|~spl0_1|~spl0_2|~spl0_3),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f127,f624])).
% 0.19/0.51 fof(f633,plain,(
% 0.19/0.51 multiply(sk_c1,sk_c7)=identity|~spl0_4|~spl0_2),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f622,f24])).
% 0.19/0.51 fof(f637,plain,(
% 0.19/0.51 multiply(identity,sk_c6)=sk_c5|~spl0_1|~spl0_2|~spl0_6|~spl0_5),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f620,f68])).
% 0.19/0.51 fof(f638,plain,(
% 0.19/0.51 sk_c6=sk_c5|~spl0_1|~spl0_2|~spl0_6|~spl0_5),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f23,f637])).
% 0.19/0.51 fof(f639,plain,(
% 0.19/0.51 identity=sk_c5|~spl0_1|~spl0_2|~spl0_6|~spl0_5),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f612,f638])).
% 0.19/0.51 fof(f700,plain,(
% 0.19/0.51 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c5)=sk_c6|~spl0_1|~spl0_2|~spl0_11)),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f612,f98])).
% 0.19/0.51 fof(f701,plain,(
% 0.19/0.51 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c6|~spl0_3|~spl0_1|~spl0_2|~spl0_11)),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f625,f700])).
% 0.19/0.51 fof(f702,plain,(
% 0.19/0.51 ![X0]: (~inverse(X0)=identity|~X0=sk_c6|~spl0_3|~spl0_1|~spl0_2|~spl0_11)),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f146,f701])).
% 0.19/0.51 fof(f703,plain,(
% 0.19/0.51 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_3|~spl0_1|~spl0_2|~spl0_11)),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f612,f702])).
% 0.19/0.51 fof(f704,plain,(
% 0.19/0.51 ~inverse(identity)=identity|~spl0_3|~spl0_1|~spl0_2|~spl0_11),
% 0.19/0.51 inference(destructive_equality_resolution,[status(esa)],[f703])).
% 0.19/0.51 fof(f705,plain,(
% 0.19/0.51 $false|~spl0_3|~spl0_1|~spl0_2|~spl0_11),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f704,f127])).
% 0.19/0.51 fof(f706,plain,(
% 0.19/0.51 ~spl0_3|~spl0_1|~spl0_2|~spl0_11),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f705])).
% 0.19/0.51 fof(f708,plain,(
% 0.19/0.51 ~multiply(sk_c1,sk_c7)=sk_c6|~spl0_2|~spl0_4|spl0_1),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f621,f51])).
% 0.19/0.51 fof(f711,plain,(
% 0.19/0.51 spl0_12 <=> identity=sk_c5),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f713,plain,(
% 0.19/0.51 ~identity=sk_c5|spl0_12),
% 0.19/0.51 inference(component_clause,[status(thm)],[f711])).
% 0.19/0.51 fof(f714,plain,(
% 0.19/0.51 spl0_13 <=> inverse(inverse(sk_c6))=sk_c6),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f716,plain,(
% 0.19/0.51 ~inverse(inverse(sk_c6))=sk_c6|spl0_13),
% 0.19/0.51 inference(component_clause,[status(thm)],[f714])).
% 0.19/0.51 fof(f717,plain,(
% 0.19/0.51 ~identity=sk_c5|~inverse(inverse(sk_c6))=sk_c6|~spl0_10),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f24,f95])).
% 0.19/0.51 fof(f718,plain,(
% 0.19/0.51 ~spl0_12|~spl0_13|~spl0_10),
% 0.19/0.51 inference(split_clause,[status(thm)],[f717,f711,f714,f94])).
% 0.19/0.51 fof(f719,plain,(
% 0.19/0.51 spl0_14 <=> sk_c6=sk_c5),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f722,plain,(
% 0.19/0.51 spl0_15 <=> inverse(identity)=sk_c6),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f724,plain,(
% 0.19/0.51 ~inverse(identity)=sk_c6|spl0_15),
% 0.19/0.51 inference(component_clause,[status(thm)],[f722])).
% 0.19/0.51 fof(f725,plain,(
% 0.19/0.51 ~sk_c6=sk_c5|~inverse(identity)=sk_c6|~spl0_10),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f23,f95])).
% 0.19/0.51 fof(f726,plain,(
% 0.19/0.51 ~spl0_14|~spl0_15|~spl0_10),
% 0.19/0.51 inference(split_clause,[status(thm)],[f725,f719,f722,f94])).
% 0.19/0.51 fof(f728,plain,(
% 0.19/0.51 ~identity=sk_c6|spl0_15),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f127,f724])).
% 0.19/0.51 fof(f729,plain,(
% 0.19/0.51 ~sk_c6=sk_c6|spl0_13),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f148,f716])).
% 0.19/0.51 fof(f730,plain,(
% 0.19/0.51 $false|spl0_13),
% 0.19/0.51 inference(trivial_equality_resolution,[status(esa)],[f729])).
% 0.19/0.51 fof(f731,plain,(
% 0.19/0.51 spl0_13),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f730])).
% 0.19/0.51 fof(f1547,plain,(
% 0.19/0.51 sk_c5=sk_c2|~spl0_3|~spl0_6),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f593,f583])).
% 0.19/0.51 fof(f1548,plain,(
% 0.19/0.51 multiply(sk_c5,sk_c6)=sk_c5|~spl0_3|~spl0_6|~spl0_5),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f1547,f68])).
% 0.19/0.51 fof(f1556,plain,(
% 0.19/0.51 inverse(sk_c6)=multiply(inverse(sk_c5),sk_c5)|~spl0_3|~spl0_6|~spl0_5),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f1548,f200])).
% 0.19/0.51 fof(f1557,plain,(
% 0.19/0.51 sk_c5=multiply(inverse(sk_c5),sk_c5)|~spl0_3|~spl0_6|~spl0_5),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f593,f1556])).
% 0.19/0.51 fof(f1558,plain,(
% 0.19/0.51 sk_c5=identity|~spl0_3|~spl0_6|~spl0_5),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f24,f1557])).
% 0.19/0.51 fof(f1559,plain,(
% 0.19/0.51 $false|spl0_12|~spl0_3|~spl0_6|~spl0_5),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1558,f713])).
% 0.19/0.51 fof(f1560,plain,(
% 0.19/0.51 spl0_12|~spl0_3|~spl0_6|~spl0_5),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f1559])).
% 0.19/0.51 fof(f1561,plain,(
% 0.19/0.51 sk_c6=multiply(inverse(sk_c5),sk_c5)|~spl0_3|~spl0_6|~spl0_5),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f1548,f106])).
% 0.19/0.51 fof(f1562,plain,(
% 0.19/0.51 sk_c6=identity|~spl0_3|~spl0_6|~spl0_5),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f24,f1561])).
% 0.19/0.51 fof(f1569,plain,(
% 0.19/0.51 inverse(identity)=sk_c3|~spl0_3|~spl0_6|~spl0_5|~spl0_7),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f1562,f578])).
% 0.19/0.51 fof(f1570,plain,(
% 0.19/0.51 identity=sk_c3|~spl0_3|~spl0_6|~spl0_5|~spl0_7),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f127,f1569])).
% 0.19/0.51 fof(f1582,plain,(
% 0.19/0.51 ~multiply(sk_c1,sk_c7)=identity|~spl0_3|~spl0_6|~spl0_5|~spl0_2|~spl0_4|spl0_1),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f1562,f708])).
% 0.19/0.51 fof(f1584,plain,(
% 0.19/0.51 $false|~spl0_3|~spl0_6|~spl0_5|spl0_1|~spl0_4|~spl0_2),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f633,f1582])).
% 0.19/0.51 fof(f1585,plain,(
% 0.19/0.51 ~spl0_3|~spl0_6|~spl0_5|spl0_1|~spl0_4|~spl0_2),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f1584])).
% 0.19/0.51 fof(f1610,plain,(
% 0.19/0.51 ~inverse(identity)=sk_c6|~spl0_1|~spl0_2|~spl0_6|~spl0_5|spl0_3),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f639,f59])).
% 0.19/0.51 fof(f1611,plain,(
% 0.19/0.51 ~identity=sk_c6|~spl0_1|~spl0_2|~spl0_6|~spl0_5|spl0_3),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f127,f1610])).
% 0.19/0.51 fof(f1612,plain,(
% 0.19/0.51 ~identity=identity|~spl0_1|~spl0_2|~spl0_6|~spl0_5|spl0_3),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f612,f1611])).
% 0.19/0.51 fof(f1613,plain,(
% 0.19/0.51 $false|~spl0_1|~spl0_2|~spl0_6|~spl0_5|spl0_3),
% 0.19/0.51 inference(trivial_equality_resolution,[status(esa)],[f1612])).
% 0.19/0.51 fof(f1614,plain,(
% 0.19/0.51 ~spl0_1|~spl0_2|~spl0_6|~spl0_5|spl0_3),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f1613])).
% 0.19/0.51 fof(f1615,plain,(
% 0.19/0.51 ~identity=identity|~spl0_1|~spl0_2|spl0_15),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f612,f728])).
% 0.19/0.51 fof(f1616,plain,(
% 0.19/0.51 $false|~spl0_1|~spl0_2|spl0_15),
% 0.19/0.51 inference(trivial_equality_resolution,[status(esa)],[f1615])).
% 0.19/0.51 fof(f1617,plain,(
% 0.19/0.51 ~spl0_1|~spl0_2|spl0_15),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f1616])).
% 0.19/0.51 fof(f1627,plain,(
% 0.19/0.51 sk_c2=sk_c3|~spl0_6|~spl0_7),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f583,f578])).
% 0.19/0.51 fof(f1628,plain,(
% 0.19/0.51 multiply(sk_c2,sk_c5)=sk_c6|~spl0_6|~spl0_7|~spl0_8),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f1627,f86])).
% 0.19/0.51 fof(f2302,plain,(
% 0.19/0.51 multiply(sk_c2,sk_c6)=identity|~spl0_6),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f74,f118])).
% 0.19/0.51 fof(f2303,plain,(
% 0.19/0.51 sk_c5=identity|~spl0_5|~spl0_6),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f68,f2302])).
% 0.19/0.51 fof(f2307,plain,(
% 0.19/0.51 multiply(sk_c2,identity)=sk_c6|~spl0_5|~spl0_6|~spl0_7|~spl0_8),
% 0.19/0.51 inference(backward_demodulation,[status(thm)],[f2303,f1628])).
% 0.19/0.51 fof(f2308,plain,(
% 0.19/0.51 sk_c2=sk_c6|~spl0_5|~spl0_6|~spl0_7|~spl0_8),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f146,f2307])).
% 0.19/0.51 fof(f2309,plain,(
% 0.19/0.51 ~inverse(identity)=sk_c6|~spl0_5|~spl0_6|spl0_3),
% 0.19/0.51 inference(backward_demodulation,[status(thm)],[f2303,f59])).
% 0.19/0.51 fof(f2310,plain,(
% 0.19/0.51 ~identity=sk_c6|~spl0_5|~spl0_6|spl0_3),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f127,f2309])).
% 0.19/0.51 fof(f2312,plain,(
% 0.19/0.51 sk_c6=sk_c3|~spl0_5|~spl0_8|~spl0_6|~spl0_7),
% 0.19/0.51 inference(backward_demodulation,[status(thm)],[f2308,f1627])).
% 0.19/0.51 fof(f2332,plain,(
% 0.19/0.51 multiply(sk_c1,sk_c7)=identity|~spl0_4),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f588,f24])).
% 0.19/0.51 fof(f2333,plain,(
% 0.19/0.51 sk_c6=identity|~spl0_0|~spl0_4),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f47,f2332])).
% 0.19/0.51 fof(f2334,plain,(
% 0.19/0.51 $false|~spl0_5|~spl0_6|spl0_3|~spl0_0|~spl0_4),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f2333,f2310])).
% 0.19/0.51 fof(f2335,plain,(
% 0.19/0.51 ~spl0_5|~spl0_6|spl0_3|~spl0_0|~spl0_4),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f2334])).
% 0.19/0.51 fof(f2382,plain,(
% 0.19/0.51 identity=sk_c6|~spl0_8|~spl0_3|~spl0_6|~spl0_5|~spl0_7),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f2312,f1570])).
% 0.19/0.51 fof(f2387,plain,(
% 0.19/0.51 multiply(sk_c1,sk_c7)=identity|~spl0_4|~spl0_0),
% 0.19/0.51 inference(backward_demodulation,[status(thm)],[f2333,f47])).
% 0.19/0.51 fof(f2388,plain,(
% 0.19/0.51 multiply(sk_c4,sk_c7)=identity|~spl0_0|~spl0_4|~spl0_1),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f2333,f50])).
% 0.19/0.51 fof(f2403,plain,(
% 0.19/0.51 inverse(sk_c7)=multiply(inverse(identity),sk_c4)|~spl0_0|~spl0_4|~spl0_1),
% 0.19/0.51 inference(paramodulation,[status(thm)],[f2388,f200])).
% 0.19/0.51 fof(f2404,plain,(
% 0.19/0.51 sk_c1=multiply(inverse(identity),sk_c4)|~spl0_0|~spl0_4|~spl0_1),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f588,f2403])).
% 0.19/0.51 fof(f2405,plain,(
% 0.19/0.51 sk_c1=multiply(identity,sk_c4)|~spl0_0|~spl0_4|~spl0_1),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f127,f2404])).
% 0.19/0.51 fof(f2406,plain,(
% 0.19/0.51 sk_c1=sk_c4|~spl0_0|~spl0_4|~spl0_1),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f23,f2405])).
% 0.19/0.51 fof(f2411,plain,(
% 0.19/0.51 ~inverse(sk_c1)=sk_c7|~spl0_0|~spl0_4|~spl0_1|spl0_2),
% 0.19/0.51 inference(backward_demodulation,[status(thm)],[f2406,f55])).
% 0.19/0.51 fof(f2412,plain,(
% 0.19/0.51 ~sk_c7=sk_c7|~spl0_0|~spl0_4|~spl0_1|spl0_2),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f62,f2411])).
% 0.19/0.51 fof(f2413,plain,(
% 0.19/0.51 $false|~spl0_0|~spl0_4|~spl0_1|spl0_2),
% 0.19/0.51 inference(trivial_equality_resolution,[status(esa)],[f2412])).
% 0.19/0.51 fof(f2414,plain,(
% 0.19/0.51 ~spl0_0|~spl0_4|~spl0_1|spl0_2),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f2413])).
% 0.19/0.51 fof(f2423,plain,(
% 0.19/0.51 ![X0]: (~multiply(X0,sk_c7)=identity|~inverse(X0)=sk_c7|~spl0_1|~spl0_2|~spl0_9)),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f612,f92])).
% 0.19/0.51 fof(f2424,plain,(
% 0.19/0.51 ~inverse(inverse(sk_c7))=sk_c7|~spl0_1|~spl0_2|~spl0_9),
% 0.19/0.51 inference(resolution,[status(thm)],[f2423,f24])).
% 0.19/0.51 fof(f2425,plain,(
% 0.19/0.51 ~sk_c7=sk_c7|~spl0_1|~spl0_2|~spl0_9),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f148,f2424])).
% 0.19/0.51 fof(f2426,plain,(
% 0.19/0.51 $false|~spl0_1|~spl0_2|~spl0_9),
% 0.19/0.51 inference(trivial_equality_resolution,[status(esa)],[f2425])).
% 0.19/0.51 fof(f2427,plain,(
% 0.19/0.51 ~spl0_1|~spl0_2|~spl0_9),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f2426])).
% 0.19/0.51 fof(f3503,plain,(
% 0.19/0.51 ![X0]: (~multiply(X0,sk_c7)=identity|~inverse(X0)=sk_c7|~spl0_8|~spl0_3|~spl0_6|~spl0_5|~spl0_7|~spl0_9)),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f2382,f92])).
% 0.19/0.51 fof(f3504,plain,(
% 0.19/0.51 ~inverse(sk_c1)=sk_c7|~spl0_8|~spl0_3|~spl0_6|~spl0_5|~spl0_7|~spl0_9|~spl0_4|~spl0_0),
% 0.19/0.51 inference(resolution,[status(thm)],[f3503,f2387])).
% 0.19/0.51 fof(f3505,plain,(
% 0.19/0.51 ~sk_c7=sk_c7|~spl0_8|~spl0_3|~spl0_6|~spl0_5|~spl0_7|~spl0_9|~spl0_4|~spl0_0),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f62,f3504])).
% 0.19/0.51 fof(f3506,plain,(
% 0.19/0.51 $false|~spl0_8|~spl0_3|~spl0_6|~spl0_5|~spl0_7|~spl0_9|~spl0_4|~spl0_0),
% 0.19/0.51 inference(trivial_equality_resolution,[status(esa)],[f3505])).
% 0.19/0.51 fof(f3507,plain,(
% 0.19/0.51 ~spl0_8|~spl0_3|~spl0_6|~spl0_5|~spl0_7|~spl0_9|~spl0_4|~spl0_0),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f3506])).
% 0.19/0.51 fof(f3508,plain,(
% 0.19/0.51 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c5)=sk_c6|~spl0_8|~spl0_3|~spl0_6|~spl0_5|~spl0_7|~spl0_11)),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f2382,f98])).
% 0.19/0.51 fof(f3509,plain,(
% 0.19/0.51 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c6|~spl0_8|~spl0_3|~spl0_6|~spl0_5|~spl0_7|~spl0_11)),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f2303,f3508])).
% 0.19/0.51 fof(f3510,plain,(
% 0.19/0.51 ![X0]: (~inverse(X0)=identity|~X0=sk_c6|~spl0_8|~spl0_3|~spl0_6|~spl0_5|~spl0_7|~spl0_11)),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f146,f3509])).
% 0.19/0.51 fof(f3511,plain,(
% 0.19/0.51 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_8|~spl0_3|~spl0_6|~spl0_5|~spl0_7|~spl0_11)),
% 0.19/0.51 inference(forward_demodulation,[status(thm)],[f2382,f3510])).
% 0.19/0.51 fof(f3512,plain,(
% 0.19/0.51 ~inverse(identity)=identity|~spl0_8|~spl0_3|~spl0_6|~spl0_5|~spl0_7|~spl0_11),
% 0.19/0.51 inference(destructive_equality_resolution,[status(esa)],[f3511])).
% 0.19/0.51 fof(f3513,plain,(
% 0.19/0.51 $false|~spl0_8|~spl0_3|~spl0_6|~spl0_5|~spl0_7|~spl0_11),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f3512,f127])).
% 0.19/0.51 fof(f3514,plain,(
% 0.19/0.51 ~spl0_8|~spl0_3|~spl0_6|~spl0_5|~spl0_7|~spl0_11),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f3513])).
% 0.19/0.51 fof(f3515,plain,(
% 0.19/0.51 spl0_12|~spl0_1|~spl0_2|~spl0_3),
% 0.19/0.51 inference(split_clause,[status(thm)],[f625,f711,f49,f53,f57])).
% 0.19/0.51 fof(f3516,plain,(
% 0.19/0.51 $false),
% 0.19/0.51 inference(sat_refutation,[status(thm)],[f52,f56,f60,f64,f65,f66,f70,f72,f76,f78,f83,f89,f100,f706,f718,f726,f731,f1560,f1585,f1614,f1617,f2335,f2414,f2427,f3507,f3514,f3515])).
% 0.19/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.53 % Elapsed time: 0.173008 seconds
% 0.19/0.53 % CPU time: 1.283867 seconds
% 0.19/0.53 % Total memory used: 80.998 MB
% 0.19/0.53 % Net memory used: 80.124 MB
%------------------------------------------------------------------------------