TSTP Solution File: GRP236-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP236-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:11:04 EDT 2023
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP236-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:15:32 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f2,axiom,(
% 0.12/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f4,negated_conjecture,(
% 0.12/0.39 inverse(sk_c8) = sk_c7 ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f15,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c3) = sk_c7| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f16,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c3) = sk_c7| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f17,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c3) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f18,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c3) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f19,negated_conjecture,(
% 0.12/0.39 ( multiply(sk_c2,sk_c3) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f20,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c3| inverse(sk_c4) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f21,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c4,sk_c7) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f22,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f23,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f24,negated_conjecture,(
% 0.12/0.39 ( inverse(sk_c2) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f30,negated_conjecture,(
% 0.12/0.39 (![X4,X5,X6,X1,X2,X3]: (( inverse(sk_c8) != sk_c7| inverse(X4) != sk_c8| multiply(X4,sk_c7) != sk_c8| multiply(X5,X6) != sk_c7| inverse(X5) != X6| multiply(X6,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X3,sk_c8) != X2| inverse(X3) != sk_c8 ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f31,plain,(
% 0.12/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f1])).
% 0.12/0.39 fof(f32,plain,(
% 0.12/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f2])).
% 0.12/0.39 fof(f33,plain,(
% 0.12/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f3])).
% 0.12/0.39 fof(f34,plain,(
% 0.12/0.39 inverse(sk_c8)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f4])).
% 0.12/0.39 fof(f45,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c3)=sk_c7|inverse(sk_c4)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f15])).
% 0.12/0.39 fof(f46,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c3)=sk_c7|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f16])).
% 0.12/0.39 fof(f47,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c3)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f17])).
% 0.12/0.39 fof(f48,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c3)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f18])).
% 0.12/0.39 fof(f49,plain,(
% 0.12/0.39 multiply(sk_c2,sk_c3)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f19])).
% 0.12/0.39 fof(f50,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c3|inverse(sk_c4)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f20])).
% 0.12/0.39 fof(f51,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c4,sk_c7)=sk_c8),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f21])).
% 0.12/0.39 fof(f52,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c8,sk_c6)=sk_c7),
% 0.12/0.39 inference(cnf_transformation,[status(esa)],[f22])).
% 0.12/0.39 fof(f53,plain,(
% 0.12/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c5,sk_c8)=sk_c6),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.39 fof(f54,plain,(
% 0.20/0.39 inverse(sk_c2)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f24])).
% 0.20/0.39 fof(f60,plain,(
% 0.20/0.39 ![X3]: ((![X2]: (((![X1]: (((![X6]: ((![X5]: (((![X4]: ((~inverse(sk_c8)=sk_c7|~inverse(X4)=sk_c8)|~multiply(X4,sk_c7)=sk_c8))|~multiply(X5,X6)=sk_c7)|~inverse(X5)=X6))|~multiply(X6,sk_c8)=sk_c7))|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X3,sk_c8)=X2))|~inverse(X3)=sk_c8)),
% 0.20/0.39 inference(miniscoping,[status(esa)],[f30])).
% 0.20/0.39 fof(f61,plain,(
% 0.20/0.39 ![X0,X1,X2,X3,X4,X5]: (~inverse(sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~multiply(X1,X2)=sk_c7|~inverse(X1)=X2|~multiply(X2,sk_c8)=sk_c7|~inverse(X3)=sk_c8|~multiply(X3,sk_c7)=sk_c8|~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8)),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f60])).
% 0.20/0.39 fof(f65,plain,(
% 0.20/0.39 spl0_1 <=> inverse(sk_c4)=sk_c8),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f66,plain,(
% 0.20/0.39 inverse(sk_c4)=sk_c8|~spl0_1),
% 0.20/0.39 inference(component_clause,[status(thm)],[f65])).
% 0.20/0.39 fof(f69,plain,(
% 0.20/0.39 spl0_2 <=> multiply(sk_c4,sk_c7)=sk_c8),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f70,plain,(
% 0.20/0.39 multiply(sk_c4,sk_c7)=sk_c8|~spl0_2),
% 0.20/0.39 inference(component_clause,[status(thm)],[f69])).
% 0.20/0.39 fof(f73,plain,(
% 0.20/0.39 spl0_3 <=> multiply(sk_c8,sk_c6)=sk_c7),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f74,plain,(
% 0.20/0.39 multiply(sk_c8,sk_c6)=sk_c7|~spl0_3),
% 0.20/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.20/0.39 fof(f77,plain,(
% 0.20/0.39 spl0_4 <=> multiply(sk_c5,sk_c8)=sk_c6),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f78,plain,(
% 0.20/0.39 multiply(sk_c5,sk_c8)=sk_c6|~spl0_4),
% 0.20/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.20/0.39 fof(f81,plain,(
% 0.20/0.39 spl0_5 <=> inverse(sk_c5)=sk_c8),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f82,plain,(
% 0.20/0.39 inverse(sk_c5)=sk_c8|~spl0_5),
% 0.20/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.20/0.39 fof(f93,plain,(
% 0.20/0.39 spl0_7 <=> multiply(sk_c2,sk_c3)=sk_c7),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f94,plain,(
% 0.20/0.39 multiply(sk_c2,sk_c3)=sk_c7|~spl0_7),
% 0.20/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.20/0.39 fof(f96,plain,(
% 0.20/0.39 spl0_7|spl0_1),
% 0.20/0.39 inference(split_clause,[status(thm)],[f45,f93,f65])).
% 0.20/0.39 fof(f97,plain,(
% 0.20/0.39 spl0_7|spl0_2),
% 0.20/0.39 inference(split_clause,[status(thm)],[f46,f93,f69])).
% 0.20/0.39 fof(f98,plain,(
% 0.20/0.39 spl0_7|spl0_3),
% 0.20/0.39 inference(split_clause,[status(thm)],[f47,f93,f73])).
% 0.20/0.39 fof(f99,plain,(
% 0.20/0.39 spl0_7|spl0_4),
% 0.20/0.39 inference(split_clause,[status(thm)],[f48,f93,f77])).
% 0.20/0.39 fof(f100,plain,(
% 0.20/0.39 spl0_7|spl0_5),
% 0.20/0.39 inference(split_clause,[status(thm)],[f49,f93,f81])).
% 0.20/0.39 fof(f101,plain,(
% 0.20/0.39 spl0_8 <=> inverse(sk_c2)=sk_c3),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f102,plain,(
% 0.20/0.39 inverse(sk_c2)=sk_c3|~spl0_8),
% 0.20/0.39 inference(component_clause,[status(thm)],[f101])).
% 0.20/0.39 fof(f104,plain,(
% 0.20/0.39 spl0_8|spl0_1),
% 0.20/0.39 inference(split_clause,[status(thm)],[f50,f101,f65])).
% 0.20/0.39 fof(f105,plain,(
% 0.20/0.39 spl0_8|spl0_2),
% 0.20/0.39 inference(split_clause,[status(thm)],[f51,f101,f69])).
% 0.20/0.39 fof(f106,plain,(
% 0.20/0.39 spl0_8|spl0_3),
% 0.20/0.39 inference(split_clause,[status(thm)],[f52,f101,f73])).
% 0.20/0.39 fof(f107,plain,(
% 0.20/0.40 spl0_8|spl0_4),
% 0.20/0.40 inference(split_clause,[status(thm)],[f53,f101,f77])).
% 0.20/0.40 fof(f108,plain,(
% 0.20/0.40 spl0_8|spl0_5),
% 0.20/0.40 inference(split_clause,[status(thm)],[f54,f101,f81])).
% 0.20/0.40 fof(f117,plain,(
% 0.20/0.40 spl0_10 <=> inverse(sk_c8)=sk_c7),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f119,plain,(
% 0.20/0.40 ~inverse(sk_c8)=sk_c7|spl0_10),
% 0.20/0.40 inference(component_clause,[status(thm)],[f117])).
% 0.20/0.40 fof(f120,plain,(
% 0.20/0.40 spl0_11 <=> ~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f121,plain,(
% 0.20/0.40 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~spl0_11)),
% 0.20/0.40 inference(component_clause,[status(thm)],[f120])).
% 0.20/0.40 fof(f123,plain,(
% 0.20/0.40 spl0_12 <=> ~multiply(X1,X2)=sk_c7|~inverse(X1)=X2|~multiply(X2,sk_c8)=sk_c7),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f124,plain,(
% 0.20/0.40 ![X0,X1]: (~multiply(X0,X1)=sk_c7|~inverse(X0)=X1|~multiply(X1,sk_c8)=sk_c7|~spl0_12)),
% 0.20/0.40 inference(component_clause,[status(thm)],[f123])).
% 0.20/0.40 fof(f126,plain,(
% 0.20/0.40 spl0_13 <=> ~multiply(sk_c8,X4)=sk_c7|~multiply(X5,sk_c8)=X4|~inverse(X5)=sk_c8),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f127,plain,(
% 0.20/0.40 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~spl0_13)),
% 0.20/0.40 inference(component_clause,[status(thm)],[f126])).
% 0.20/0.40 fof(f129,plain,(
% 0.20/0.40 ~spl0_10|spl0_11|spl0_12|spl0_13),
% 0.20/0.40 inference(split_clause,[status(thm)],[f61,f117,f120,f123,f126])).
% 0.20/0.40 fof(f134,plain,(
% 0.20/0.40 multiply(sk_c7,sk_c8)=identity),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f34,f32])).
% 0.20/0.40 fof(f135,plain,(
% 0.20/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f32,f33])).
% 0.20/0.40 fof(f136,plain,(
% 0.20/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f31,f135])).
% 0.20/0.40 fof(f137,plain,(
% 0.20/0.40 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c8,X0)))),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f134,f33])).
% 0.20/0.40 fof(f138,plain,(
% 0.20/0.40 ![X0]: (X0=multiply(sk_c7,multiply(sk_c8,X0)))),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f31,f137])).
% 0.20/0.40 fof(f142,plain,(
% 0.20/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(inverse(sk_c7),X0))),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f138,f136])).
% 0.20/0.40 fof(f144,plain,(
% 0.20/0.40 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f136,f136])).
% 0.20/0.40 fof(f145,plain,(
% 0.20/0.40 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f32,f136])).
% 0.20/0.40 fof(f146,plain,(
% 0.20/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f31,f136])).
% 0.20/0.40 fof(f147,plain,(
% 0.20/0.40 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f33,f136])).
% 0.20/0.40 fof(f152,plain,(
% 0.20/0.40 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f146,f136])).
% 0.20/0.40 fof(f162,plain,(
% 0.20/0.40 inverse(identity)=identity),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f32,f152])).
% 0.20/0.40 fof(f176,plain,(
% 0.20/0.40 multiply(sk_c8,sk_c7)=identity),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f32,f142])).
% 0.20/0.40 fof(f190,plain,(
% 0.20/0.40 ![X0]: (X0=multiply(X0,identity))),
% 0.20/0.40 inference(backward_demodulation,[status(thm)],[f144,f145])).
% 0.20/0.40 fof(f191,plain,(
% 0.20/0.40 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f136,f144])).
% 0.20/0.40 fof(f192,plain,(
% 0.20/0.40 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f32,f144])).
% 0.20/0.40 fof(f230,plain,(
% 0.20/0.40 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(multiply(X1,X2),multiply(X3,X0))))),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f33,f147])).
% 0.20/0.40 fof(f231,plain,(
% 0.20/0.40 ![X0,X1,X2,X3]: (X0=multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,multiply(X2,multiply(X3,X0)))))),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f33,f230])).
% 0.20/0.40 fof(f264,plain,(
% 0.20/0.40 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f144,f190])).
% 0.20/0.40 fof(f265,plain,(
% 0.20/0.40 ![X0]: (inverse(inverse(X0))=X0)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f190,f264])).
% 0.20/0.40 fof(f266,plain,(
% 0.20/0.40 inverse(sk_c7)=multiply(sk_c8,identity)),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f142,f190])).
% 0.20/0.40 fof(f267,plain,(
% 0.20/0.40 inverse(sk_c7)=sk_c8),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f190,f266])).
% 0.20/0.40 fof(f299,plain,(
% 0.20/0.40 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f192,f147])).
% 0.20/0.40 fof(f300,plain,(
% 0.20/0.40 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f190,f299])).
% 0.20/0.40 fof(f323,plain,(
% 0.20/0.40 ~sk_c7=sk_c7|spl0_10),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f34,f119])).
% 0.20/0.40 fof(f324,plain,(
% 0.20/0.40 $false|spl0_10),
% 0.20/0.40 inference(trivial_equality_resolution,[status(esa)],[f323])).
% 0.20/0.40 fof(f325,plain,(
% 0.20/0.40 spl0_10),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f324])).
% 0.20/0.40 fof(f326,plain,(
% 0.20/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~spl0_13)),
% 0.20/0.40 inference(destructive_equality_resolution,[status(esa)],[f127])).
% 0.20/0.40 fof(f338,plain,(
% 0.20/0.40 inverse(sk_c8)=sk_c5|~spl0_5),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f82,f265])).
% 0.20/0.40 fof(f339,plain,(
% 0.20/0.40 sk_c7=sk_c5|~spl0_5),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f34,f338])).
% 0.20/0.40 fof(f349,plain,(
% 0.20/0.40 inverse(sk_c8)=sk_c4|~spl0_1),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f66,f265])).
% 0.20/0.40 fof(f350,plain,(
% 0.20/0.40 sk_c7=sk_c4|~spl0_1),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f34,f349])).
% 0.20/0.40 fof(f361,plain,(
% 0.20/0.40 sk_c3=multiply(inverse(sk_c2),sk_c7)|~spl0_7),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f94,f136])).
% 0.20/0.40 fof(f362,plain,(
% 0.20/0.40 sk_c3=multiply(sk_c3,sk_c7)|~spl0_8|~spl0_7),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f102,f361])).
% 0.20/0.40 fof(f372,plain,(
% 0.20/0.40 multiply(sk_c7,sk_c8)=sk_c6|~spl0_5|~spl0_4),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f339,f78])).
% 0.20/0.40 fof(f373,plain,(
% 0.20/0.40 identity=sk_c6|~spl0_5|~spl0_4),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f134,f372])).
% 0.20/0.40 fof(f374,plain,(
% 0.20/0.40 multiply(sk_c8,identity)=sk_c7|~spl0_5|~spl0_4|~spl0_3),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f373,f74])).
% 0.20/0.40 fof(f375,plain,(
% 0.20/0.40 sk_c8=sk_c7|~spl0_5|~spl0_4|~spl0_3),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f190,f374])).
% 0.20/0.40 fof(f379,plain,(
% 0.20/0.40 sk_c8=sk_c4|~spl0_5|~spl0_4|~spl0_3|~spl0_1),
% 0.20/0.40 inference(backward_demodulation,[status(thm)],[f375,f350])).
% 0.20/0.40 fof(f380,plain,(
% 0.20/0.40 sk_c8=sk_c5|~spl0_4|~spl0_3|~spl0_5),
% 0.20/0.40 inference(backward_demodulation,[status(thm)],[f375,f339])).
% 0.20/0.40 fof(f389,plain,(
% 0.20/0.40 multiply(sk_c8,sk_c7)=sk_c8|~spl0_5|~spl0_4|~spl0_3|~spl0_1|~spl0_2),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f379,f70])).
% 0.20/0.40 fof(f390,plain,(
% 0.20/0.40 multiply(sk_c8,sk_c8)=sk_c8|~spl0_5|~spl0_4|~spl0_3|~spl0_1|~spl0_2),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f375,f389])).
% 0.20/0.40 fof(f391,plain,(
% 0.20/0.40 ![X0]: (sk_c8=multiply(inverse(multiply(X0,sk_c8)),multiply(X0,sk_c8))|~spl0_5|~spl0_4|~spl0_3|~spl0_1|~spl0_2)),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f390,f147])).
% 0.20/0.40 fof(f392,plain,(
% 0.20/0.40 sk_c8=identity|~spl0_5|~spl0_4|~spl0_3|~spl0_1|~spl0_2),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f32,f391])).
% 0.20/0.40 fof(f398,plain,(
% 0.20/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c8|~inverse(X0)=sk_c8|~spl0_5|~spl0_4|~spl0_3|~spl0_13)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f375,f326])).
% 0.20/0.40 fof(f407,plain,(
% 0.20/0.40 spl0_16 <=> multiply(sk_c8,identity)=sk_c8),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f409,plain,(
% 0.20/0.40 ~multiply(sk_c8,identity)=sk_c8|spl0_16),
% 0.20/0.40 inference(component_clause,[status(thm)],[f407])).
% 0.20/0.40 fof(f410,plain,(
% 0.20/0.40 spl0_17 <=> inverse(inverse(sk_c8))=sk_c8),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f412,plain,(
% 0.20/0.40 ~inverse(inverse(sk_c8))=sk_c8|spl0_17),
% 0.20/0.40 inference(component_clause,[status(thm)],[f410])).
% 0.20/0.40 fof(f413,plain,(
% 0.20/0.40 ~multiply(sk_c8,identity)=sk_c8|~inverse(inverse(sk_c8))=sk_c8|~spl0_5|~spl0_4|~spl0_3|~spl0_13),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f32,f398])).
% 0.20/0.40 fof(f414,plain,(
% 0.20/0.40 ~spl0_16|~spl0_17|~spl0_5|~spl0_4|~spl0_3|~spl0_13),
% 0.20/0.40 inference(split_clause,[status(thm)],[f413,f407,f410,f81,f77,f73,f126])).
% 0.20/0.40 fof(f422,plain,(
% 0.20/0.40 ~sk_c8=sk_c8|spl0_17),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f265,f412])).
% 0.20/0.40 fof(f423,plain,(
% 0.20/0.40 $false|spl0_17),
% 0.20/0.40 inference(trivial_equality_resolution,[status(esa)],[f422])).
% 0.20/0.40 fof(f424,plain,(
% 0.20/0.40 spl0_17),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f423])).
% 0.20/0.40 fof(f425,plain,(
% 0.20/0.40 ~sk_c8=sk_c8|spl0_16),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f190,f409])).
% 0.20/0.40 fof(f426,plain,(
% 0.20/0.40 $false|spl0_16),
% 0.20/0.40 inference(trivial_equality_resolution,[status(esa)],[f425])).
% 0.20/0.40 fof(f427,plain,(
% 0.20/0.40 spl0_16),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f426])).
% 0.20/0.40 fof(f428,plain,(
% 0.20/0.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c8)=sk_c7|~spl0_12)),
% 0.20/0.40 inference(destructive_equality_resolution,[status(esa)],[f124])).
% 0.20/0.40 fof(f476,plain,(
% 0.20/0.40 ![X0]: (sk_c7=multiply(inverse(multiply(X0,sk_c3)),multiply(X0,sk_c3))|~spl0_8|~spl0_7)),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f362,f147])).
% 0.20/0.40 fof(f477,plain,(
% 0.20/0.40 sk_c7=identity|~spl0_8|~spl0_7),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f32,f476])).
% 0.20/0.40 fof(f507,plain,(
% 0.20/0.40 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,identity)=sk_c8|~spl0_8|~spl0_7|~spl0_11)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f477,f121])).
% 0.20/0.40 fof(f508,plain,(
% 0.20/0.40 ![X0]: (~inverse(X0)=sk_c8|~X0=sk_c8|~spl0_8|~spl0_7|~spl0_11)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f190,f507])).
% 0.20/0.40 fof(f509,plain,(
% 0.20/0.40 ~inverse(sk_c8)=sk_c8|~spl0_8|~spl0_7|~spl0_11),
% 0.20/0.40 inference(destructive_equality_resolution,[status(esa)],[f508])).
% 0.20/0.40 fof(f510,plain,(
% 0.20/0.40 inverse(identity)=sk_c8|~spl0_8|~spl0_7),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f477,f267])).
% 0.20/0.40 fof(f511,plain,(
% 0.20/0.40 identity=sk_c8|~spl0_8|~spl0_7),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f162,f510])).
% 0.20/0.40 fof(f512,plain,(
% 0.20/0.40 ~inverse(sk_c8)=identity|~spl0_8|~spl0_7|~spl0_11),
% 0.20/0.40 inference(backward_demodulation,[status(thm)],[f511,f509])).
% 0.20/0.40 fof(f513,plain,(
% 0.20/0.40 ~inverse(identity)=identity|~spl0_8|~spl0_7|~spl0_11),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f511,f512])).
% 0.20/0.40 fof(f514,plain,(
% 0.20/0.40 ~identity=identity|~spl0_8|~spl0_7|~spl0_11),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f162,f513])).
% 0.20/0.40 fof(f515,plain,(
% 0.20/0.40 $false|~spl0_8|~spl0_7|~spl0_11),
% 0.20/0.40 inference(trivial_equality_resolution,[status(esa)],[f514])).
% 0.20/0.40 fof(f516,plain,(
% 0.20/0.40 ~spl0_8|~spl0_7|~spl0_11),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f515])).
% 0.20/0.40 fof(f517,plain,(
% 0.20/0.40 ![X0]: (~identity=sk_c7|~multiply(inverse(X0),sk_c8)=sk_c7|~spl0_12)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f192,f428])).
% 0.20/0.40 fof(f517,plain,(
% 0.20/0.40 ![X0]: (~identity=sk_c7|~multiply(inverse(X0),sk_c8)=sk_c7|~spl0_12)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f192,f428])).
% 0.20/0.40 fof(f567,plain,(
% 0.20/0.40 ![X0,X1,X2]: (multiply(inverse(X0),X1)=multiply(inverse(multiply(X2,X0)),multiply(X2,X1)))),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f191,f147])).
% 0.20/0.40 fof(f837,plain,(
% 0.20/0.40 ![X0,X1]: (sk_c7=multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(X0,multiply(X1,identity))))),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f176,f231])).
% 0.20/0.40 fof(f838,plain,(
% 0.20/0.40 ![X0,X1]: (sk_c7=multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(X0,X1)))),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f190,f837])).
% 0.20/0.40 fof(f897,plain,(
% 0.20/0.40 identity=sk_c5|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_5),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f392,f380])).
% 0.20/0.40 fof(f899,plain,(
% 0.20/0.40 sk_c7=identity|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_5),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f897,f339])).
% 0.20/0.40 fof(f1594,plain,(
% 0.20/0.40 multiply(sk_c8,identity)=identity|~spl0_8|~spl0_7),
% 0.20/0.40 inference(backward_demodulation,[status(thm)],[f477,f176])).
% 0.20/0.40 fof(f1595,plain,(
% 0.20/0.40 sk_c8=identity|~spl0_8|~spl0_7),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f190,f1594])).
% 0.20/0.40 fof(f1605,plain,(
% 0.20/0.40 spl0_19 <=> identity=sk_c7),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f1607,plain,(
% 0.20/0.40 ~identity=sk_c7|spl0_19),
% 0.20/0.40 inference(component_clause,[status(thm)],[f1605])).
% 0.20/0.40 fof(f1608,plain,(
% 0.20/0.40 spl0_20 <=> ~multiply(inverse(X0),sk_c8)=identity),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f1609,plain,(
% 0.20/0.40 ![X0]: (~multiply(inverse(X0),sk_c8)=identity|~spl0_20)),
% 0.20/0.40 inference(component_clause,[status(thm)],[f1608])).
% 0.20/0.40 fof(f1611,plain,(
% 0.20/0.40 ![X0]: (~identity=sk_c7|~multiply(inverse(X0),sk_c8)=identity|~spl0_8|~spl0_7|~spl0_12)),
% 0.20/0.40 inference(backward_demodulation,[status(thm)],[f477,f517])).
% 0.20/0.40 fof(f1612,plain,(
% 0.20/0.40 ~spl0_19|spl0_20|~spl0_8|~spl0_7|~spl0_12),
% 0.20/0.40 inference(split_clause,[status(thm)],[f1611,f1605,f1608,f101,f93,f123])).
% 0.20/0.40 fof(f1613,plain,(
% 0.20/0.40 ~identity=identity|~spl0_8|~spl0_7|spl0_19),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f477,f1607])).
% 0.20/0.40 fof(f1614,plain,(
% 0.20/0.40 $false|~spl0_8|~spl0_7|spl0_19),
% 0.20/0.40 inference(trivial_equality_resolution,[status(esa)],[f1613])).
% 0.20/0.40 fof(f1615,plain,(
% 0.20/0.40 ~spl0_8|~spl0_7|spl0_19),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f1614])).
% 0.20/0.40 fof(f1632,plain,(
% 0.20/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=identity|~inverse(X0)=sk_c8|~spl0_8|~spl0_7|~spl0_13)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f477,f326])).
% 0.20/0.40 fof(f2559,plain,(
% 0.20/0.40 ![X0]: (~multiply(inverse(X0),identity)=identity|~spl0_8|~spl0_7|~spl0_20)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f1595,f1609])).
% 0.20/0.40 fof(f2560,plain,(
% 0.20/0.40 ![X0]: (~inverse(X0)=identity|~spl0_8|~spl0_7|~spl0_20)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f190,f2559])).
% 0.20/0.40 fof(f2561,plain,(
% 0.20/0.40 $false|~spl0_8|~spl0_7|~spl0_20),
% 0.20/0.40 inference(backward_subsumption_resolution,[status(thm)],[f162,f2560])).
% 0.20/0.40 fof(f2562,plain,(
% 0.20/0.40 ~spl0_8|~spl0_7|~spl0_20),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f2561])).
% 0.20/0.40 fof(f2563,plain,(
% 0.20/0.40 ![X0]: (~multiply(identity,multiply(X0,sk_c8))=identity|~inverse(X0)=sk_c8|~spl0_8|~spl0_7|~spl0_13)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f1595,f1632])).
% 0.20/0.40 fof(f2564,plain,(
% 0.20/0.40 ![X0]: (~multiply(X0,sk_c8)=identity|~inverse(X0)=sk_c8|~spl0_8|~spl0_7|~spl0_13)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f31,f2563])).
% 0.20/0.40 fof(f2565,plain,(
% 0.20/0.40 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c8|~spl0_8|~spl0_7|~spl0_13)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f1595,f2564])).
% 0.20/0.40 fof(f2566,plain,(
% 0.20/0.40 ![X0]: (~X0=identity|~inverse(X0)=sk_c8|~spl0_8|~spl0_7|~spl0_13)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f190,f2565])).
% 0.20/0.40 fof(f2567,plain,(
% 0.20/0.40 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_8|~spl0_7|~spl0_13)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f1595,f2566])).
% 0.20/0.40 fof(f2568,plain,(
% 0.20/0.40 ~inverse(identity)=identity|~spl0_8|~spl0_7|~spl0_13),
% 0.20/0.40 inference(destructive_equality_resolution,[status(esa)],[f2567])).
% 0.20/0.40 fof(f2569,plain,(
% 0.20/0.40 ![X0,X1]: (identity=multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(X0,X1))|~spl0_8|~spl0_7)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f477,f838])).
% 0.20/0.40 fof(f2570,plain,(
% 0.20/0.40 ![X0]: (identity=multiply(inverse(multiply(X0,sk_c8)),X0)|~spl0_8|~spl0_7)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f567,f2569])).
% 0.20/0.40 fof(f2571,plain,(
% 0.20/0.40 identity=inverse(sk_c8)|~spl0_8|~spl0_7),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f300,f2570])).
% 0.20/0.40 fof(f2572,plain,(
% 0.20/0.40 identity=inverse(identity)|~spl0_8|~spl0_7),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f1595,f2571])).
% 0.20/0.40 fof(f2573,plain,(
% 0.20/0.40 $false|~spl0_13|~spl0_8|~spl0_7),
% 0.20/0.40 inference(forward_subsumption_resolution,[status(thm)],[f2572,f2568])).
% 0.20/0.40 fof(f2574,plain,(
% 0.20/0.40 ~spl0_13|~spl0_8|~spl0_7),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f2573])).
% 0.20/0.40 fof(f3029,plain,(
% 0.20/0.40 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c7)=sk_c8|~spl0_5|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_11)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f392,f121])).
% 0.20/0.40 fof(f3030,plain,(
% 0.20/0.40 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c8|~spl0_5|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_11)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f899,f3029])).
% 0.20/0.40 fof(f3031,plain,(
% 0.20/0.40 ![X0]: (~inverse(X0)=identity|~X0=sk_c8|~spl0_5|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_11)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f190,f3030])).
% 0.20/0.40 fof(f3032,plain,(
% 0.20/0.40 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_5|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_11)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f392,f3031])).
% 0.20/0.40 fof(f3033,plain,(
% 0.20/0.40 ~inverse(identity)=identity|~spl0_5|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_11),
% 0.20/0.40 inference(destructive_equality_resolution,[status(esa)],[f3032])).
% 0.20/0.40 fof(f3034,plain,(
% 0.20/0.40 $false|~spl0_5|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_11),
% 0.20/0.40 inference(forward_subsumption_resolution,[status(thm)],[f3033,f162])).
% 0.20/0.40 fof(f3035,plain,(
% 0.20/0.40 ~spl0_5|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_11),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f3034])).
% 0.20/0.40 fof(f3036,plain,(
% 0.20/0.40 spl0_21 <=> ~multiply(inverse(X0),sk_c8)=sk_c7),
% 0.20/0.40 introduced(split_symbol_definition)).
% 0.20/0.40 fof(f3037,plain,(
% 0.20/0.40 ![X0]: (~multiply(inverse(X0),sk_c8)=sk_c7|~spl0_21)),
% 0.20/0.40 inference(component_clause,[status(thm)],[f3036])).
% 0.20/0.40 fof(f3039,plain,(
% 0.20/0.40 ~spl0_19|spl0_21|~spl0_12),
% 0.20/0.40 inference(split_clause,[status(thm)],[f517,f1605,f3036,f123])).
% 0.20/0.40 fof(f3040,plain,(
% 0.20/0.40 ~identity=identity|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_5|spl0_19),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f899,f1607])).
% 0.20/0.40 fof(f3041,plain,(
% 0.20/0.40 $false|~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_5|spl0_19),
% 0.20/0.40 inference(trivial_equality_resolution,[status(esa)],[f3040])).
% 0.20/0.40 fof(f3042,plain,(
% 0.20/0.40 ~spl0_1|~spl0_2|~spl0_4|~spl0_3|~spl0_5|spl0_19),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f3041])).
% 0.20/0.40 fof(f3043,plain,(
% 0.20/0.40 ![X0]: (~multiply(inverse(X0),identity)=sk_c7|~spl0_5|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_21)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f392,f3037])).
% 0.20/0.40 fof(f3044,plain,(
% 0.20/0.40 ![X0]: (~inverse(X0)=sk_c7|~spl0_5|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_21)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f190,f3043])).
% 0.20/0.40 fof(f3045,plain,(
% 0.20/0.40 ![X0]: (~inverse(X0)=identity|~spl0_5|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_21)),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f899,f3044])).
% 0.20/0.40 fof(f3046,plain,(
% 0.20/0.40 $false|~spl0_5|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_21),
% 0.20/0.40 inference(backward_subsumption_resolution,[status(thm)],[f162,f3045])).
% 0.20/0.40 fof(f3047,plain,(
% 0.20/0.40 ~spl0_5|~spl0_4|~spl0_3|~spl0_1|~spl0_2|~spl0_21),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f3046])).
% 0.20/0.40 fof(f3048,plain,(
% 0.20/0.40 $false),
% 0.20/0.40 inference(sat_refutation,[status(thm)],[f96,f97,f98,f99,f100,f104,f105,f106,f107,f108,f129,f325,f414,f424,f427,f516,f1612,f1615,f2562,f2574,f3035,f3039,f3042,f3047])).
% 0.20/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.41 % Elapsed time: 0.061906 seconds
% 0.20/0.41 % CPU time: 0.348615 seconds
% 0.20/0.41 % Memory used: 38.981 MB
%------------------------------------------------------------------------------