%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP382-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:32 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP382-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:11:34 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.12/0.57 % Refutation found
% 0.12/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.57 fof(f1,axiom,(
% 0.12/0.57 (![X]: (multiply(identity,X) = X ))),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f2,axiom,(
% 0.12/0.57 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f3,axiom,(
% 0.12/0.57 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f4,negated_conjecture,(
% 0.12/0.57 ( inverse(sk_c12) = sk_c11| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f5,negated_conjecture,(
% 0.12/0.57 ( inverse(sk_c12) = sk_c11| inverse(sk_c4) = sk_c12 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f8,negated_conjecture,(
% 0.12/0.57 ( inverse(sk_c12) = sk_c11| multiply(sk_c6,sk_c9) = sk_c12 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f9,negated_conjecture,(
% 0.12/0.57 ( inverse(sk_c12) = sk_c11| inverse(sk_c6) = sk_c9 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f10,negated_conjecture,(
% 0.12/0.57 ( inverse(sk_c12) = sk_c11| multiply(sk_c9,sk_c11) = sk_c12 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f11,negated_conjecture,(
% 0.12/0.57 ( inverse(sk_c12) = sk_c11| inverse(sk_c8) = sk_c7 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f12,negated_conjecture,(
% 0.12/0.57 ( inverse(sk_c12) = sk_c11| inverse(sk_c7) = sk_c9 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f13,negated_conjecture,(
% 0.12/0.57 ( inverse(sk_c12) = sk_c11| multiply(sk_c8,sk_c9) = sk_c7 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f14,negated_conjecture,(
% 0.12/0.57 ( multiply(sk_c11,sk_c10) = sk_c12| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f15,negated_conjecture,(
% 0.12/0.57 ( multiply(sk_c11,sk_c10) = sk_c12| inverse(sk_c4) = sk_c12 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f16,negated_conjecture,(
% 0.12/0.57 ( multiply(sk_c11,sk_c10) = sk_c12| multiply(sk_c5,sk_c11) = sk_c10 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f17,negated_conjecture,(
% 0.12/0.57 ( multiply(sk_c11,sk_c10) = sk_c12| inverse(sk_c5) = sk_c11 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f24,negated_conjecture,(
% 0.12/0.57 ( inverse(sk_c1) = sk_c12| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f25,negated_conjecture,(
% 0.12/0.57 ( inverse(sk_c1) = sk_c12| inverse(sk_c4) = sk_c12 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f34,negated_conjecture,(
% 0.12/0.57 ( multiply(sk_c1,sk_c11) = sk_c12| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f35,negated_conjecture,(
% 0.12/0.57 ( multiply(sk_c1,sk_c11) = sk_c12| inverse(sk_c4) = sk_c12 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f44,negated_conjecture,(
% 0.12/0.57 ( multiply(sk_c2,sk_c3) = sk_c11| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f45,negated_conjecture,(
% 0.12/0.57 ( multiply(sk_c2,sk_c3) = sk_c11| inverse(sk_c4) = sk_c12 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f54,negated_conjecture,(
% 0.12/0.57 ( inverse(sk_c2) = sk_c3| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f55,negated_conjecture,(
% 0.12/0.57 ( inverse(sk_c2) = sk_c3| inverse(sk_c4) = sk_c12 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f64,negated_conjecture,(
% 0.12/0.57 ( multiply(sk_c3,sk_c12) = sk_c11| multiply(sk_c4,sk_c12) = sk_c11 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f65,negated_conjecture,(
% 0.12/0.57 ( multiply(sk_c3,sk_c12) = sk_c11| inverse(sk_c4) = sk_c12 ) ),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f74,negated_conjecture,(
% 0.12/0.57 (![X4,X5,X6,X1,X2,X7,X3,X8,X9]: (( inverse(sk_c12) != sk_c11| multiply(sk_c11,sk_c10) != sk_c12| inverse(X4) != sk_c12| multiply(X4,sk_c11) != sk_c12| multiply(X5,X6) != sk_c11| inverse(X5) != X6| multiply(X6,sk_c12) != sk_c11| multiply(X1,sk_c12) != sk_c11| inverse(X1) != sk_c12| multiply(X2,sk_c11) != sk_c10| inverse(X2) != sk_c11| multiply(X7,X3) != sk_c12| inverse(X7) != X3| multiply(X3,sk_c11) != sk_c12| inverse(X8) != X9| inverse(X9) != X3| multiply(X8,X3) != X9 ) ))),
% 0.12/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.57 fof(f75,plain,(
% 0.12/0.57 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.57 fof(f76,plain,(
% 0.12/0.57 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.57 fof(f77,plain,(
% 0.12/0.57 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.57 fof(f78,plain,(
% 0.12/0.57 inverse(sk_c12)=sk_c11|multiply(sk_c4,sk_c12)=sk_c11),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.57 fof(f79,plain,(
% 0.12/0.57 inverse(sk_c12)=sk_c11|inverse(sk_c4)=sk_c12),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.57 fof(f82,plain,(
% 0.12/0.57 inverse(sk_c12)=sk_c11|multiply(sk_c6,sk_c9)=sk_c12),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.57 fof(f83,plain,(
% 0.12/0.57 inverse(sk_c12)=sk_c11|inverse(sk_c6)=sk_c9),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.57 fof(f84,plain,(
% 0.12/0.57 inverse(sk_c12)=sk_c11|multiply(sk_c9,sk_c11)=sk_c12),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.57 fof(f85,plain,(
% 0.12/0.57 inverse(sk_c12)=sk_c11|inverse(sk_c8)=sk_c7),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.57 fof(f86,plain,(
% 0.12/0.57 inverse(sk_c12)=sk_c11|inverse(sk_c7)=sk_c9),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.57 fof(f87,plain,(
% 0.12/0.57 inverse(sk_c12)=sk_c11|multiply(sk_c8,sk_c9)=sk_c7),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.57 fof(f88,plain,(
% 0.12/0.57 multiply(sk_c11,sk_c10)=sk_c12|multiply(sk_c4,sk_c12)=sk_c11),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.57 fof(f89,plain,(
% 0.12/0.57 multiply(sk_c11,sk_c10)=sk_c12|inverse(sk_c4)=sk_c12),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.57 fof(f90,plain,(
% 0.12/0.57 multiply(sk_c11,sk_c10)=sk_c12|multiply(sk_c5,sk_c11)=sk_c10),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.57 fof(f91,plain,(
% 0.12/0.57 multiply(sk_c11,sk_c10)=sk_c12|inverse(sk_c5)=sk_c11),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f17])).
% 0.12/0.57 fof(f98,plain,(
% 0.12/0.57 inverse(sk_c1)=sk_c12|multiply(sk_c4,sk_c12)=sk_c11),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f24])).
% 0.12/0.57 fof(f99,plain,(
% 0.12/0.57 inverse(sk_c1)=sk_c12|inverse(sk_c4)=sk_c12),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.57 fof(f108,plain,(
% 0.12/0.57 multiply(sk_c1,sk_c11)=sk_c12|multiply(sk_c4,sk_c12)=sk_c11),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f34])).
% 0.12/0.57 fof(f109,plain,(
% 0.12/0.57 multiply(sk_c1,sk_c11)=sk_c12|inverse(sk_c4)=sk_c12),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f35])).
% 0.12/0.57 fof(f118,plain,(
% 0.12/0.57 multiply(sk_c2,sk_c3)=sk_c11|multiply(sk_c4,sk_c12)=sk_c11),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f44])).
% 0.12/0.57 fof(f119,plain,(
% 0.12/0.57 multiply(sk_c2,sk_c3)=sk_c11|inverse(sk_c4)=sk_c12),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f45])).
% 0.12/0.57 fof(f128,plain,(
% 0.12/0.57 inverse(sk_c2)=sk_c3|multiply(sk_c4,sk_c12)=sk_c11),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f54])).
% 0.12/0.57 fof(f129,plain,(
% 0.12/0.57 inverse(sk_c2)=sk_c3|inverse(sk_c4)=sk_c12),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f55])).
% 0.12/0.57 fof(f138,plain,(
% 0.12/0.57 multiply(sk_c3,sk_c12)=sk_c11|multiply(sk_c4,sk_c12)=sk_c11),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f64])).
% 0.12/0.57 fof(f139,plain,(
% 0.12/0.57 multiply(sk_c3,sk_c12)=sk_c11|inverse(sk_c4)=sk_c12),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f65])).
% 0.12/0.57 fof(f148,plain,(
% 0.12/0.57 ![X3,X8,X9]: (((((![X7]: (((![X2]: (((![X1]: (((![X6]: ((![X5]: (((![X4]: (((~inverse(sk_c12)=sk_c11|~multiply(sk_c11,sk_c10)=sk_c12)|~inverse(X4)=sk_c12)|~multiply(X4,sk_c11)=sk_c12))|~multiply(X5,X6)=sk_c11)|~inverse(X5)=X6))|~multiply(X6,sk_c12)=sk_c11))|~multiply(X1,sk_c12)=sk_c11)|~inverse(X1)=sk_c12))|~multiply(X2,sk_c11)=sk_c10)|~inverse(X2)=sk_c11))|~multiply(X7,X3)=sk_c12)|~inverse(X7)=X3))|~multiply(X3,sk_c11)=sk_c12)|~inverse(X8)=X9)|~inverse(X9)=X3)|~multiply(X8,X3)=X9)),
% 0.12/0.57 inference(miniscoping,[status(thm)],[f74])).
% 0.12/0.57 fof(f149,plain,(
% 0.12/0.57 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~inverse(sk_c12)=sk_c11|~multiply(sk_c11,sk_c10)=sk_c12|~inverse(X0)=sk_c12|~multiply(X0,sk_c11)=sk_c12|~multiply(X1,X2)=sk_c11|~inverse(X1)=X2|~multiply(X2,sk_c12)=sk_c11|~multiply(X3,sk_c12)=sk_c11|~inverse(X3)=sk_c12|~multiply(X4,sk_c11)=sk_c10|~inverse(X4)=sk_c11|~multiply(X5,X6)=sk_c12|~inverse(X5)=X6|~multiply(X6,sk_c11)=sk_c12|~inverse(X7)=X8|~inverse(X8)=X6|~multiply(X7,X6)=X8)),
% 0.12/0.57 inference(cnf_transformation,[status(thm)],[f148])).
% 0.12/0.57 fof(f150,definition,(
% 0.12/0.57 sQ0_spl <=> (inverse(sk_c12)=sk_c11)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f151,plain,(
% 0.12/0.57 inverse(sk_c12)=sk_c11|~sQ0_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f150])).
% 0.12/0.57 fof(f152,plain,(
% 0.12/0.57 ~inverse(sk_c12)=sk_c11|sQ0_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f150])).
% 0.12/0.57 fof(f153,definition,(
% 0.12/0.57 sQ1_spl <=> (multiply(sk_c4,sk_c12)=sk_c11)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f154,plain,(
% 0.12/0.57 multiply(sk_c4,sk_c12)=sk_c11|~sQ1_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f153])).
% 0.12/0.57 fof(f156,plain,(
% 0.12/0.57 sQ0_spl|sQ1_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f78,f150,f153])).
% 0.12/0.57 fof(f157,definition,(
% 0.12/0.57 sQ2_spl <=> (inverse(sk_c4)=sk_c12)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f158,plain,(
% 0.12/0.57 inverse(sk_c4)=sk_c12|~sQ2_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f157])).
% 0.12/0.57 fof(f159,plain,(
% 0.12/0.57 ~inverse(sk_c4)=sk_c12|sQ2_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f157])).
% 0.12/0.57 fof(f160,plain,(
% 0.12/0.57 sQ0_spl|sQ2_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f79,f150,f157])).
% 0.12/0.57 fof(f161,definition,(
% 0.12/0.57 sQ3_spl <=> (multiply(sk_c5,sk_c11)=sk_c10)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f162,plain,(
% 0.12/0.57 multiply(sk_c5,sk_c11)=sk_c10|~sQ3_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f161])).
% 0.12/0.57 fof(f165,definition,(
% 0.12/0.57 sQ4_spl <=> (inverse(sk_c5)=sk_c11)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f166,plain,(
% 0.12/0.57 inverse(sk_c5)=sk_c11|~sQ4_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f165])).
% 0.12/0.57 fof(f169,definition,(
% 0.12/0.57 sQ5_spl <=> (multiply(sk_c6,sk_c9)=sk_c12)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f170,plain,(
% 0.12/0.57 multiply(sk_c6,sk_c9)=sk_c12|~sQ5_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f169])).
% 0.12/0.57 fof(f172,plain,(
% 0.12/0.57 sQ0_spl|sQ5_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f82,f150,f169])).
% 0.12/0.57 fof(f173,definition,(
% 0.12/0.57 sQ6_spl <=> (inverse(sk_c6)=sk_c9)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f174,plain,(
% 0.12/0.57 inverse(sk_c6)=sk_c9|~sQ6_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f173])).
% 0.12/0.57 fof(f176,plain,(
% 0.12/0.57 sQ0_spl|sQ6_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f83,f150,f173])).
% 0.12/0.57 fof(f177,definition,(
% 0.12/0.57 sQ7_spl <=> (multiply(sk_c9,sk_c11)=sk_c12)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f178,plain,(
% 0.12/0.57 multiply(sk_c9,sk_c11)=sk_c12|~sQ7_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f177])).
% 0.12/0.57 fof(f180,plain,(
% 0.12/0.57 sQ0_spl|sQ7_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f84,f150,f177])).
% 0.12/0.57 fof(f181,definition,(
% 0.12/0.57 sQ8_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f182,plain,(
% 0.12/0.57 inverse(sk_c8)=sk_c7|~sQ8_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f181])).
% 0.12/0.57 fof(f184,plain,(
% 0.12/0.57 sQ0_spl|sQ8_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f85,f150,f181])).
% 0.12/0.57 fof(f185,definition,(
% 0.12/0.57 sQ9_spl <=> (inverse(sk_c7)=sk_c9)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f186,plain,(
% 0.12/0.57 inverse(sk_c7)=sk_c9|~sQ9_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f185])).
% 0.12/0.57 fof(f188,plain,(
% 0.12/0.57 sQ0_spl|sQ9_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f86,f150,f185])).
% 0.12/0.57 fof(f189,definition,(
% 0.12/0.57 sQ10_spl <=> (multiply(sk_c8,sk_c9)=sk_c7)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f190,plain,(
% 0.12/0.57 multiply(sk_c8,sk_c9)=sk_c7|~sQ10_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f189])).
% 0.12/0.57 fof(f192,plain,(
% 0.12/0.57 sQ0_spl|sQ10_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f87,f150,f189])).
% 0.12/0.57 fof(f193,definition,(
% 0.12/0.57 sQ11_spl <=> (multiply(sk_c11,sk_c10)=sk_c12)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f194,plain,(
% 0.12/0.57 multiply(sk_c11,sk_c10)=sk_c12|~sQ11_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f193])).
% 0.12/0.57 fof(f195,plain,(
% 0.12/0.57 ~multiply(sk_c11,sk_c10)=sk_c12|sQ11_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f193])).
% 0.12/0.57 fof(f196,plain,(
% 0.12/0.57 sQ11_spl|sQ1_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f88,f193,f153])).
% 0.12/0.57 fof(f197,plain,(
% 0.12/0.57 sQ11_spl|sQ2_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f89,f193,f157])).
% 0.12/0.57 fof(f198,plain,(
% 0.12/0.57 sQ11_spl|sQ3_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f90,f193,f161])).
% 0.12/0.57 fof(f199,plain,(
% 0.12/0.57 sQ11_spl|sQ4_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f91,f193,f165])).
% 0.12/0.57 fof(f206,definition,(
% 0.12/0.57 sQ12_spl <=> (inverse(sk_c1)=sk_c12)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f207,plain,(
% 0.12/0.57 inverse(sk_c1)=sk_c12|~sQ12_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f206])).
% 0.12/0.57 fof(f209,plain,(
% 0.12/0.57 sQ12_spl|sQ1_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f98,f206,f153])).
% 0.12/0.57 fof(f210,plain,(
% 0.12/0.57 sQ12_spl|sQ2_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f99,f206,f157])).
% 0.12/0.57 fof(f219,definition,(
% 0.12/0.57 sQ13_spl <=> (multiply(sk_c1,sk_c11)=sk_c12)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f220,plain,(
% 0.12/0.57 multiply(sk_c1,sk_c11)=sk_c12|~sQ13_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f219])).
% 0.12/0.57 fof(f222,plain,(
% 0.12/0.57 sQ13_spl|sQ1_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f108,f219,f153])).
% 0.12/0.57 fof(f223,plain,(
% 0.12/0.57 sQ13_spl|sQ2_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f109,f219,f157])).
% 0.12/0.57 fof(f232,definition,(
% 0.12/0.57 sQ14_spl <=> (multiply(sk_c2,sk_c3)=sk_c11)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f233,plain,(
% 0.12/0.57 multiply(sk_c2,sk_c3)=sk_c11|~sQ14_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f232])).
% 0.12/0.57 fof(f235,plain,(
% 0.12/0.57 sQ14_spl|sQ1_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f118,f232,f153])).
% 0.12/0.57 fof(f236,plain,(
% 0.12/0.57 sQ14_spl|sQ2_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f119,f232,f157])).
% 0.12/0.57 fof(f245,definition,(
% 0.12/0.57 sQ15_spl <=> (inverse(sk_c2)=sk_c3)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f246,plain,(
% 0.12/0.57 inverse(sk_c2)=sk_c3|~sQ15_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f245])).
% 0.12/0.57 fof(f248,plain,(
% 0.12/0.57 sQ15_spl|sQ1_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f128,f245,f153])).
% 0.12/0.57 fof(f249,plain,(
% 0.12/0.57 sQ15_spl|sQ2_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f129,f245,f157])).
% 0.12/0.57 fof(f258,definition,(
% 0.12/0.57 sQ16_spl <=> (multiply(sk_c3,sk_c12)=sk_c11)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f259,plain,(
% 0.12/0.57 multiply(sk_c3,sk_c12)=sk_c11|~sQ16_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f258])).
% 0.12/0.57 fof(f261,plain,(
% 0.12/0.57 sQ16_spl|sQ1_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f138,f258,f153])).
% 0.12/0.57 fof(f262,plain,(
% 0.12/0.57 sQ16_spl|sQ2_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f139,f258,f157])).
% 0.12/0.57 fof(f271,definition,(
% 0.12/0.57 ![X0]: (sQ17_spl <=> (~inverse(X0)=sk_c12|~multiply(X0,sk_c11)=sk_c12))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f272,plain,(
% 0.12/0.57 ![X0]: (~inverse(X0)=sk_c12|~multiply(X0,sk_c11)=sk_c12|~sQ17_spl)),
% 0.12/0.57 inference(component_clause,[status(thm)],[f271])).
% 0.12/0.57 fof(f274,definition,(
% 0.12/0.57 ![X1,X2]: (sQ18_spl <=> (~multiply(X1,X2)=sk_c11|~inverse(X1)=X2|~multiply(X2,sk_c12)=sk_c11))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f275,plain,(
% 0.12/0.57 ![X0,X1]: (~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c12)=sk_c11|~sQ18_spl)),
% 0.12/0.57 inference(component_clause,[status(thm)],[f274])).
% 0.12/0.57 fof(f277,definition,(
% 0.12/0.57 ![X3]: (sQ19_spl <=> (~multiply(X3,sk_c12)=sk_c11|~inverse(X3)=sk_c12))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f278,plain,(
% 0.12/0.57 ![X0]: (~multiply(X0,sk_c12)=sk_c11|~inverse(X0)=sk_c12|~sQ19_spl)),
% 0.12/0.57 inference(component_clause,[status(thm)],[f277])).
% 0.12/0.57 fof(f280,definition,(
% 0.12/0.57 ![X4]: (sQ20_spl <=> (~multiply(X4,sk_c11)=sk_c10|~inverse(X4)=sk_c11))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f281,plain,(
% 0.12/0.57 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~sQ20_spl)),
% 0.12/0.57 inference(component_clause,[status(thm)],[f280])).
% 0.12/0.57 fof(f283,definition,(
% 0.12/0.57 ![X5,X6,X7,X8]: (sQ21_spl <=> (~multiply(X5,X6)=sk_c12|~inverse(X5)=X6|~multiply(X6,sk_c11)=sk_c12|~inverse(X7)=X8|~inverse(X8)=X6|~multiply(X7,X6)=X8))),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f284,plain,(
% 0.12/0.57 ![X0,X1,X2,X3]: (~multiply(X0,X1)=sk_c12|~inverse(X0)=X1|~multiply(X1,sk_c11)=sk_c12|~inverse(X2)=X3|~inverse(X3)=X1|~multiply(X2,X1)=X3|~sQ21_spl)),
% 0.12/0.57 inference(component_clause,[status(thm)],[f283])).
% 0.12/0.57 fof(f286,plain,(
% 0.12/0.57 ~sQ0_spl|~sQ11_spl|sQ17_spl|sQ18_spl|sQ19_spl|sQ20_spl|sQ21_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f149,f150,f193,f271,f274,f277,f280,f283])).
% 0.12/0.57 fof(f287,plain,(
% 0.12/0.57 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c12|~multiply(inverse(X0),sk_c11)=sk_c12|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ21_spl)),
% 0.12/0.57 inference(destructive_equality_resolution,[status(thm)],[f284])).
% 0.12/0.57 fof(f289,plain,(
% 0.12/0.57 ![X0]: (multiply(sk_c12,X0)=multiply(sk_c9,multiply(sk_c11,X0))|~sQ7_spl)),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f178,f77])).
% 0.12/0.57 fof(f290,plain,(
% 0.12/0.57 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,multiply(sk_c9,X0))|~sQ10_spl)),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f190,f77])).
% 0.12/0.57 fof(f291,plain,(
% 0.12/0.57 ![X0]: (multiply(sk_c12,X0)=multiply(sk_c1,multiply(sk_c11,X0))|~sQ13_spl)),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f220,f77])).
% 0.12/0.57 fof(f293,plain,(
% 0.12/0.57 ![X0]: (multiply(sk_c11,X0)=multiply(sk_c3,multiply(sk_c12,X0))|~sQ16_spl)),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f259,f77])).
% 0.12/0.57 fof(f298,plain,(
% 0.12/0.57 multiply(sk_c11,sk_c12)=identity|~sQ0_spl),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f151,f76])).
% 0.12/0.57 fof(f299,plain,(
% 0.12/0.57 multiply(sk_c12,sk_c4)=identity|~sQ2_spl),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f158,f76])).
% 0.12/0.57 fof(f300,plain,(
% 0.12/0.57 multiply(sk_c11,sk_c5)=identity|~sQ4_spl),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f166,f76])).
% 0.12/0.57 fof(f302,plain,(
% 0.12/0.57 multiply(sk_c7,sk_c8)=identity|~sQ8_spl),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f182,f76])).
% 0.12/0.57 fof(f303,plain,(
% 0.12/0.57 multiply(sk_c9,sk_c7)=identity|~sQ9_spl),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f186,f76])).
% 0.12/0.57 fof(f304,plain,(
% 0.12/0.57 multiply(sk_c12,sk_c1)=identity|~sQ12_spl),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f207,f76])).
% 0.12/0.57 fof(f305,plain,(
% 0.12/0.57 multiply(sk_c3,sk_c2)=identity|~sQ15_spl),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f246,f76])).
% 0.12/0.57 fof(f306,plain,(
% 0.12/0.57 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f76,f77])).
% 0.12/0.57 fof(f307,plain,(
% 0.12/0.57 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.57 inference(forward_demodulation,[status(thm)],[f75,f306])).
% 0.12/0.57 fof(f309,plain,(
% 0.12/0.57 ![X0]: (multiply(sk_c11,X0)=multiply(sk_c4,multiply(sk_c12,X0))|~sQ1_spl)),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f154,f77])).
% 0.12/0.57 fof(f311,plain,(
% 0.12/0.57 ![X0]: (multiply(identity,X0)=multiply(sk_c11,multiply(sk_c12,X0))|~sQ0_spl)),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f298,f77])).
% 0.12/0.57 fof(f312,plain,(
% 0.12/0.57 ![X0]: (X0=multiply(sk_c11,multiply(sk_c12,X0))|~sQ0_spl)),
% 0.12/0.57 inference(forward_demodulation,[status(thm)],[f75,f311])).
% 0.12/0.57 fof(f337,definition,(
% 0.12/0.57 sQ23_spl <=> (identity=sk_c12)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f338,plain,(
% 0.12/0.57 identity=sk_c12|~sQ23_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f337])).
% 0.12/0.57 fof(f339,plain,(
% 0.12/0.57 ~identity=sk_c12|sQ23_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f337])).
% 0.12/0.57 fof(f423,plain,(
% 0.12/0.57 ~multiply(sk_c12,sk_c11)=sk_c10|~sk_c11=sk_c11|~sQ20_spl|~sQ0_spl),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f151,f281])).
% 0.12/0.57 fof(f426,definition,(
% 0.12/0.57 sQ45_spl <=> (multiply(sk_c12,sk_c11)=sk_c10)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f429,definition,(
% 0.12/0.57 sQ46_spl <=> (sk_c11=sk_c11)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f431,plain,(
% 0.12/0.57 ~sk_c11=sk_c11|sQ46_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f429])).
% 0.12/0.57 fof(f432,plain,(
% 0.12/0.57 ~sQ45_spl|~sQ46_spl|~sQ20_spl|~sQ0_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f423,f426,f429,f280,f150])).
% 0.12/0.57 fof(f436,definition,(
% 0.12/0.57 sQ48_spl <=> (sk_c12=sk_c11)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f437,plain,(
% 0.12/0.57 sk_c12=sk_c11|~sQ48_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f436])).
% 0.12/0.57 fof(f438,plain,(
% 0.12/0.57 ~sk_c12=sk_c11|sQ48_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f436])).
% 0.12/0.57 fof(f448,plain,(
% 0.12/0.57 $false|sQ46_spl),
% 0.12/0.57 inference(trivial_equality_resolution,[status(thm)],[f431])).
% 0.12/0.57 fof(f449,plain,(
% 0.12/0.57 sQ46_spl),
% 0.12/0.57 inference(contradiction_clause,[status(thm)],[f448])).
% 0.12/0.57 fof(f451,plain,(
% 0.12/0.57 ~multiply(sk_c12,sk_c12)=sk_c11|~sk_c11=sk_c12|~sQ19_spl|~sQ0_spl),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f151,f278])).
% 0.12/0.57 fof(f453,plain,(
% 0.12/0.57 ~multiply(sk_c2,sk_c12)=sk_c11|~sk_c3=sk_c12|~sQ19_spl|~sQ15_spl),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f246,f278])).
% 0.12/0.57 fof(f454,definition,(
% 0.12/0.57 sQ51_spl <=> (multiply(sk_c12,sk_c12)=sk_c11)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f455,plain,(
% 0.12/0.57 multiply(sk_c12,sk_c12)=sk_c11|~sQ51_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f454])).
% 0.12/0.57 fof(f456,plain,(
% 0.12/0.57 ~multiply(sk_c12,sk_c12)=sk_c11|sQ51_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f454])).
% 0.12/0.57 fof(f457,plain,(
% 0.12/0.57 ~sQ51_spl|~sQ48_spl|~sQ19_spl|~sQ0_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f451,f454,f436,f277,f150])).
% 0.12/0.57 fof(f461,definition,(
% 0.12/0.57 sQ53_spl <=> (sk_c12=sk_c12)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f463,plain,(
% 0.12/0.57 ~sk_c12=sk_c12|sQ53_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f461])).
% 0.12/0.57 fof(f465,definition,(
% 0.12/0.57 sQ54_spl <=> (multiply(sk_c2,sk_c12)=sk_c11)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f466,plain,(
% 0.12/0.57 multiply(sk_c2,sk_c12)=sk_c11|~sQ54_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f465])).
% 0.12/0.57 fof(f467,plain,(
% 0.12/0.57 ~multiply(sk_c2,sk_c12)=sk_c11|sQ54_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f465])).
% 0.12/0.57 fof(f468,definition,(
% 0.12/0.57 sQ55_spl <=> (sk_c3=sk_c12)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f469,plain,(
% 0.12/0.57 sk_c3=sk_c12|~sQ55_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f468])).
% 0.12/0.57 fof(f470,plain,(
% 0.12/0.57 ~sk_c3=sk_c12|sQ55_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f468])).
% 0.12/0.57 fof(f471,plain,(
% 0.12/0.57 ~sQ54_spl|~sQ55_spl|~sQ19_spl|~sQ15_spl),
% 0.12/0.57 inference(split_clause,[status(thm)],[f453,f465,f468,f277,f245])).
% 0.12/0.57 fof(f472,plain,(
% 0.12/0.57 $false|sQ53_spl),
% 0.12/0.57 inference(trivial_equality_resolution,[status(thm)],[f463])).
% 0.12/0.57 fof(f473,plain,(
% 0.12/0.57 sQ53_spl),
% 0.12/0.57 inference(contradiction_clause,[status(thm)],[f472])).
% 0.12/0.57 fof(f474,plain,(
% 0.12/0.57 ![X0]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c12)=sk_c11|~sQ18_spl)),
% 0.12/0.57 inference(destructive_equality_resolution,[status(thm)],[f275])).
% 0.12/0.57 fof(f475,plain,(
% 0.12/0.57 ~multiply(sk_c12,inverse(sk_c12))=sk_c11|~identity=sk_c11|~sQ18_spl),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f76,f474])).
% 0.12/0.57 fof(f478,plain,(
% 0.12/0.57 ~multiply(sk_c2,inverse(sk_c2))=sk_c11|~multiply(sk_c3,sk_c12)=sk_c11|~sQ18_spl|~sQ15_spl),
% 0.12/0.57 inference(paramodulation,[status(thm)],[f246,f474])).
% 0.12/0.57 fof(f479,definition,(
% 0.12/0.57 sQ56_spl <=> (multiply(sk_c12,inverse(sk_c12))=sk_c11)),
% 0.12/0.57 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.12/0.57 fof(f481,plain,(
% 0.12/0.57 ~multiply(sk_c12,inverse(sk_c12))=sk_c11|sQ56_spl),
% 0.12/0.57 inference(component_clause,[status(thm)],[f479])).
% 0.12/0.57 fof(f482,definition,(
% 0.12/0.58 sQ57_spl <=> (identity=sk_c11)),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f484,plain,(
% 0.12/0.58 ~identity=sk_c11|sQ57_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f482])).
% 0.12/0.58 fof(f485,plain,(
% 0.12/0.58 ~sQ56_spl|~sQ57_spl|~sQ18_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f475,f479,f482,f274])).
% 0.12/0.58 fof(f486,definition,(
% 0.12/0.58 sQ58_spl <=> (multiply(sk_c11,sk_c12)=sk_c11)),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f488,plain,(
% 0.12/0.58 ~multiply(sk_c11,sk_c12)=sk_c11|sQ58_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f486])).
% 0.12/0.58 fof(f494,definition,(
% 0.12/0.58 sQ60_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c11)),
% 0.12/0.58 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.12/0.58 fof(f496,plain,(
% 0.12/0.58 ~multiply(sk_c2,inverse(sk_c2))=sk_c11|sQ60_spl),
% 0.12/0.58 inference(component_clause,[status(thm)],[f494])).
% 0.12/0.58 fof(f497,plain,(
% 0.12/0.58 ~sQ60_spl|~sQ16_spl|~sQ18_spl|~sQ15_spl),
% 0.12/0.58 inference(split_clause,[status(thm)],[f478,f494,f258,f274,f245])).
% 0.12/0.58 fof(f498,plain,(
% 0.12/0.58 ~multiply(sk_c12,sk_c11)=sk_c11|~sQ0_spl|sQ56_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f151,f481])).
% 0.12/0.58 fof(f499,plain,(
% 0.12/0.58 ~multiply(sk_c2,sk_c3)=sk_c11|~sQ15_spl|sQ60_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f246,f496])).
% 0.12/0.58 fof(f500,plain,(
% 0.12/0.58 ~sk_c11=sk_c11|~sQ14_spl|~sQ15_spl|sQ60_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f233,f499])).
% 0.12/0.58 fof(f501,plain,(
% 0.12/0.58 $false|~sQ14_spl|~sQ15_spl|sQ60_spl),
% 0.12/0.58 inference(trivial_equality_resolution,[status(thm)],[f500])).
% 0.12/0.58 fof(f502,plain,(
% 0.12/0.58 ~sQ14_spl|~sQ15_spl|sQ60_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f501])).
% 0.12/0.58 fof(f527,plain,(
% 0.12/0.58 ~identity=sk_c11|~sQ0_spl|sQ58_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f298,f488])).
% 0.12/0.58 fof(f543,plain,(
% 0.12/0.58 ![X0]: (~multiply(X0,inverse(X0))=sk_c12|~multiply(inverse(X0),sk_c11)=sk_c12|~inverse(sk_c11)=inverse(X0)|~multiply(sk_c12,inverse(X0))=inverse(sk_c12)|~sQ21_spl|~sQ0_spl)),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f151,f287])).
% 0.12/0.58 fof(f549,plain,(
% 0.12/0.58 ![X0]: (~multiply(X0,inverse(X0))=sk_c12|~multiply(inverse(X0),sk_c11)=sk_c12|~inverse(sk_c11)=inverse(X0)|~multiply(sk_c12,inverse(X0))=sk_c11|~sQ21_spl|~sQ0_spl)),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f151,f543])).
% 0.12/0.58 fof(f566,plain,(
% 0.12/0.58 multiply(sk_c12,sk_c12)=multiply(sk_c1,identity)|~sQ13_spl|~sQ0_spl),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f298,f291])).
% 0.12/0.58 fof(f568,plain,(
% 0.12/0.58 ~multiply(sk_c1,identity)=sk_c11|~sQ13_spl|~sQ0_spl|sQ51_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f566,f456])).
% 0.12/0.58 fof(f570,plain,(
% 0.12/0.58 multiply(sk_c11,sk_c1)=multiply(sk_c3,identity)|~sQ16_spl|~sQ12_spl),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f304,f293])).
% 0.12/0.58 fof(f580,plain,(
% 0.12/0.58 sk_c1=multiply(inverse(sk_c12),identity)|~sQ12_spl),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f304,f307])).
% 0.12/0.58 fof(f581,plain,(
% 0.12/0.58 sk_c4=multiply(inverse(sk_c12),identity)|~sQ2_spl),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f299,f307])).
% 0.12/0.58 fof(f582,plain,(
% 0.12/0.58 sk_c3=multiply(inverse(sk_c2),sk_c11)|~sQ14_spl),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f233,f307])).
% 0.12/0.58 fof(f583,plain,(
% 0.12/0.58 sk_c12=multiply(inverse(sk_c11),identity)|~sQ0_spl),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f298,f307])).
% 0.12/0.58 fof(f584,plain,(
% 0.12/0.58 sk_c5=multiply(inverse(sk_c11),identity)|~sQ4_spl),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f300,f307])).
% 0.12/0.58 fof(f585,plain,(
% 0.12/0.58 sk_c10=multiply(inverse(sk_c11),sk_c12)|~sQ11_spl),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f194,f307])).
% 0.12/0.58 fof(f586,plain,(
% 0.12/0.58 sk_c12=multiply(inverse(sk_c4),sk_c11)|~sQ1_spl),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f154,f307])).
% 0.12/0.58 fof(f587,plain,(
% 0.12/0.58 sk_c11=multiply(inverse(sk_c5),sk_c10)|~sQ3_spl),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f162,f307])).
% 0.12/0.58 fof(f588,plain,(
% 0.12/0.58 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f307,f307])).
% 0.12/0.58 fof(f589,plain,(
% 0.12/0.58 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f76,f307])).
% 0.12/0.58 fof(f591,plain,(
% 0.12/0.58 sk_c9=multiply(inverse(sk_c6),sk_c12)|~sQ5_spl),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f170,f307])).
% 0.12/0.58 fof(f598,plain,(
% 0.12/0.58 sk_c2=multiply(inverse(sk_c3),identity)|~sQ15_spl),
% 0.12/0.58 inference(paramodulation,[status(thm)],[f305,f307])).
% 0.12/0.58 fof(f601,plain,(
% 0.12/0.58 sk_c1=multiply(sk_c11,identity)|~sQ0_spl|~sQ12_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f151,f580])).
% 0.12/0.58 fof(f603,plain,(
% 0.12/0.58 sk_c4=multiply(sk_c11,identity)|~sQ0_spl|~sQ2_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f151,f581])).
% 0.12/0.58 fof(f605,plain,(
% 0.12/0.58 sk_c3=multiply(sk_c3,sk_c11)|~sQ15_spl|~sQ14_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f246,f582])).
% 0.12/0.58 fof(f606,plain,(
% 0.12/0.58 sk_c12=sk_c5|~sQ4_spl|~sQ0_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f584,f583])).
% 0.12/0.58 fof(f607,plain,(
% 0.12/0.58 sk_c12=multiply(sk_c12,sk_c11)|~sQ2_spl|~sQ1_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f158,f586])).
% 0.12/0.58 fof(f610,plain,(
% 0.12/0.58 sk_c11=multiply(sk_c11,sk_c10)|~sQ4_spl|~sQ3_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f166,f587])).
% 0.12/0.58 fof(f615,plain,(
% 0.12/0.58 ~sk_c1=sk_c11|~sQ13_spl|~sQ0_spl|sQ51_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f618,f568])).
% 0.12/0.58 fof(f616,plain,(
% 0.12/0.58 multiply(sk_c11,sk_c1)=sk_c3|~sQ16_spl|~sQ12_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f618,f570])).
% 0.12/0.58 fof(f617,plain,(
% 0.12/0.58 multiply(sk_c12,sk_c12)=sk_c1|~sQ13_spl|~sQ0_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f618,f566])).
% 0.12/0.58 fof(f618,plain,(
% 0.12/0.58 ![X0]: (X0=multiply(X0,identity))),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f588,f589])).
% 0.12/0.58 fof(f623,plain,(
% 0.12/0.58 sk_c2=inverse(sk_c3)|~sQ15_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f618,f598])).
% 0.12/0.58 fof(f629,plain,(
% 0.12/0.58 multiply(sk_c1,sk_c12)=identity|~sQ12_spl|~sQ0_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f661,f298])).
% 0.12/0.58 fof(f633,plain,(
% 0.12/0.58 ~multiply(sk_c2,sk_c12)=sk_c1|~sQ0_spl|~sQ12_spl|sQ54_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f661,f467])).
% 0.12/0.58 fof(f637,plain,(
% 0.12/0.58 multiply(sk_c2,sk_c3)=sk_c1|~sQ0_spl|~sQ12_spl|~sQ14_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f661,f233])).
% 0.12/0.58 fof(f638,plain,(
% 0.12/0.58 multiply(sk_c1,sk_c10)=sk_c12|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f661,f194])).
% 0.12/0.58 fof(f639,plain,(
% 0.12/0.58 inverse(sk_c12)=sk_c1|~sQ12_spl|~sQ0_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f661,f151])).
% 0.12/0.58 fof(f644,plain,(
% 0.12/0.58 multiply(sk_c1,sk_c1)=sk_c12|~sQ0_spl|~sQ12_spl|~sQ13_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f661,f220])).
% 0.12/0.58 fof(f646,plain,(
% 0.12/0.58 ![X0]: (~inverse(X0)=sk_c12|~multiply(X0,sk_c1)=sk_c12|~sQ0_spl|~sQ12_spl|~sQ17_spl)),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f661,f272])).
% 0.12/0.58 fof(f651,plain,(
% 0.12/0.58 sk_c10=multiply(inverse(sk_c1),sk_c12)|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f661,f585])).
% 0.12/0.58 fof(f652,plain,(
% 0.12/0.58 sk_c3=multiply(sk_c3,sk_c1)|~sQ0_spl|~sQ12_spl|~sQ15_spl|~sQ14_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f661,f605])).
% 0.12/0.58 fof(f661,plain,(
% 0.12/0.58 sk_c1=sk_c11|~sQ0_spl|~sQ12_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f618,f601])).
% 0.12/0.58 fof(f662,plain,(
% 0.12/0.58 sk_c12=multiply(inverse(sk_c4),sk_c1)|~sQ0_spl|~sQ12_spl|~sQ1_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f661,f586])).
% 0.12/0.58 fof(f678,plain,(
% 0.12/0.58 ~sk_c1=sk_c1|~sQ12_spl|~sQ13_spl|~sQ0_spl|sQ51_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f661,f615])).
% 0.12/0.58 fof(f679,plain,(
% 0.12/0.58 $false|~sQ12_spl|~sQ13_spl|~sQ0_spl|sQ51_spl),
% 0.12/0.58 inference(trivial_equality_resolution,[status(thm)],[f678])).
% 0.12/0.58 fof(f680,plain,(
% 0.12/0.58 ~sQ12_spl|~sQ13_spl|~sQ0_spl|sQ51_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f679])).
% 0.12/0.58 fof(f681,plain,(
% 0.12/0.58 multiply(sk_c1,sk_c1)=sk_c3|~sQ0_spl|~sQ16_spl|~sQ12_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f661,f616])).
% 0.12/0.58 fof(f692,plain,(
% 0.12/0.58 sk_c3=sk_c12|~sQ16_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f681,f644])).
% 0.12/0.58 fof(f693,plain,(
% 0.12/0.58 $false|sQ55_spl|~sQ16_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl),
% 0.12/0.58 inference(forward_subsumption_resolution,[status(thm)],[f692,f470])).
% 0.12/0.58 fof(f694,plain,(
% 0.12/0.58 sQ55_spl|~sQ16_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f693])).
% 0.12/0.58 fof(f698,plain,(
% 0.12/0.58 sk_c10=sk_c1|~sQ12_spl|~sQ11_spl|~sQ13_spl|~sQ0_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f699,f617])).
% 0.12/0.58 fof(f699,plain,(
% 0.12/0.58 sk_c10=multiply(sk_c12,sk_c12)|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f207,f651])).
% 0.12/0.58 fof(f708,plain,(
% 0.12/0.58 sk_c10=sk_c11|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ51_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f699,f455])).
% 0.12/0.58 fof(f709,plain,(
% 0.12/0.58 multiply(sk_c3,sk_c1)=identity|~sQ16_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f692,f304])).
% 0.12/0.58 fof(f725,plain,(
% 0.12/0.58 inverse(sk_c3)=sk_c1|~sQ16_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f692,f639])).
% 0.12/0.58 fof(f726,plain,(
% 0.12/0.58 multiply(sk_c1,sk_c10)=sk_c3|~sQ16_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f692,f638])).
% 0.12/0.58 fof(f728,plain,(
% 0.12/0.58 ~multiply(sk_c2,sk_c3)=sk_c1|~sQ16_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|sQ54_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f692,f633])).
% 0.12/0.58 fof(f731,plain,(
% 0.12/0.58 multiply(sk_c1,sk_c3)=identity|~sQ16_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f692,f629])).
% 0.12/0.58 fof(f738,plain,(
% 0.12/0.58 ~inverse(sk_c4)=sk_c3|~sQ16_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl|sQ2_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f692,f159])).
% 0.12/0.58 fof(f741,plain,(
% 0.12/0.58 sk_c3=multiply(inverse(sk_c4),sk_c1)|~sQ16_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ1_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f692,f662])).
% 0.12/0.58 fof(f742,plain,(
% 0.12/0.58 ~identity=sk_c3|~sQ16_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl|sQ23_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f692,f339])).
% 0.12/0.58 fof(f752,plain,(
% 0.12/0.58 sk_c3=multiply(sk_c3,sk_c10)|~sQ11_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ15_spl|~sQ14_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f698,f652])).
% 0.12/0.58 fof(f761,plain,(
% 0.12/0.58 multiply(sk_c3,sk_c10)=identity|~sQ11_spl|~sQ16_spl|~sQ0_spl|~sQ13_spl|~sQ12_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f698,f709])).
% 0.12/0.58 fof(f784,plain,(
% 0.12/0.58 sk_c2=sk_c10|~sQ11_spl|~sQ16_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|~sQ15_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f785,f623])).
% 0.12/0.58 fof(f785,plain,(
% 0.12/0.58 inverse(sk_c3)=sk_c10|~sQ11_spl|~sQ16_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f698,f725])).
% 0.12/0.58 fof(f786,plain,(
% 0.12/0.58 multiply(sk_c10,sk_c10)=sk_c3|~sQ16_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f698,f726])).
% 0.12/0.58 fof(f788,plain,(
% 0.12/0.58 ~sk_c1=sk_c1|~sQ14_spl|~sQ16_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|sQ54_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f637,f728])).
% 0.12/0.58 fof(f789,plain,(
% 0.12/0.58 ~sk_c10=sk_c1|~sQ11_spl|~sQ14_spl|~sQ16_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|sQ54_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f698,f788])).
% 0.12/0.58 fof(f790,plain,(
% 0.12/0.58 ~sk_c10=sk_c10|~sQ11_spl|~sQ14_spl|~sQ16_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|sQ54_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f698,f789])).
% 0.12/0.58 fof(f791,plain,(
% 0.12/0.58 $false|~sQ11_spl|~sQ14_spl|~sQ16_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|sQ54_spl),
% 0.12/0.58 inference(trivial_equality_resolution,[status(thm)],[f790])).
% 0.12/0.58 fof(f792,plain,(
% 0.12/0.58 ~sQ11_spl|~sQ14_spl|~sQ16_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|sQ54_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f791])).
% 0.12/0.58 fof(f797,plain,(
% 0.12/0.58 multiply(sk_c10,sk_c3)=identity|~sQ11_spl|~sQ16_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f698,f731])).
% 0.12/0.58 fof(f806,plain,(
% 0.12/0.58 sk_c3=multiply(inverse(sk_c4),sk_c10)|~sQ11_spl|~sQ16_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ1_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f698,f741])).
% 0.12/0.58 fof(f808,plain,(
% 0.12/0.58 sk_c3=identity|~sQ16_spl|~sQ11_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ15_spl|~sQ14_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f761,f752])).
% 0.12/0.58 fof(f809,plain,(
% 0.12/0.58 $false|sQ23_spl|~sQ16_spl|~sQ11_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ15_spl|~sQ14_spl),
% 0.12/0.58 inference(forward_subsumption_resolution,[status(thm)],[f808,f742])).
% 0.12/0.58 fof(f810,plain,(
% 0.12/0.58 sQ23_spl|~sQ16_spl|~sQ11_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ15_spl|~sQ14_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f809])).
% 0.12/0.58 fof(f824,plain,(
% 0.12/0.58 multiply(sk_c10,sk_c12)=sk_c11|~sQ11_spl|~sQ16_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|~sQ15_spl|~sQ54_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f784,f466])).
% 0.12/0.58 fof(f825,plain,(
% 0.12/0.58 multiply(sk_c10,sk_c3)=sk_c11|~sQ11_spl|~sQ16_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|~sQ15_spl|~sQ54_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f692,f824])).
% 0.12/0.58 fof(f826,plain,(
% 0.12/0.58 sk_c10=identity|~sQ16_spl|~sQ13_spl|~sQ15_spl|~sQ54_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ51_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f827,f708])).
% 0.12/0.58 fof(f827,plain,(
% 0.12/0.58 identity=sk_c11|~sQ11_spl|~sQ16_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|~sQ15_spl|~sQ54_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f797,f825])).
% 0.12/0.58 fof(f835,plain,(
% 0.12/0.58 identity=multiply(inverse(sk_c4),sk_c10)|~sQ15_spl|~sQ14_spl|~sQ11_spl|~sQ16_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ1_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f808,f806])).
% 0.12/0.58 fof(f837,plain,(
% 0.12/0.58 ~inverse(sk_c4)=identity|~sQ11_spl|~sQ15_spl|~sQ14_spl|~sQ16_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl|sQ2_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f808,f738])).
% 0.12/0.58 fof(f843,plain,(
% 0.12/0.58 multiply(sk_c10,sk_c10)=identity|~sQ15_spl|~sQ14_spl|~sQ16_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f808,f786])).
% 0.12/0.58 fof(f898,plain,(
% 0.12/0.58 identity=multiply(inverse(sk_c4),identity)|~sQ54_spl|~sQ51_spl|~sQ15_spl|~sQ14_spl|~sQ11_spl|~sQ16_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ1_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f826,f835])).
% 0.12/0.58 fof(f900,plain,(
% 0.12/0.58 identity=inverse(sk_c4)|~sQ54_spl|~sQ51_spl|~sQ15_spl|~sQ14_spl|~sQ11_spl|~sQ16_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ1_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f618,f898])).
% 0.12/0.58 fof(f903,plain,(
% 0.12/0.58 ~identity=identity|~sQ54_spl|~sQ51_spl|~sQ1_spl|~sQ11_spl|~sQ15_spl|~sQ14_spl|~sQ16_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl|sQ2_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f900,f837])).
% 0.12/0.58 fof(f904,plain,(
% 0.12/0.58 $false|~sQ54_spl|~sQ51_spl|~sQ1_spl|~sQ11_spl|~sQ15_spl|~sQ14_spl|~sQ16_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl|sQ2_spl),
% 0.12/0.58 inference(trivial_equality_resolution,[status(thm)],[f903])).
% 0.12/0.58 fof(f905,plain,(
% 0.12/0.58 ~sQ54_spl|~sQ51_spl|~sQ1_spl|~sQ11_spl|~sQ15_spl|~sQ14_spl|~sQ16_spl|~sQ0_spl|~sQ12_spl|~sQ13_spl|sQ2_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f904])).
% 0.12/0.58 fof(f908,plain,(
% 0.12/0.58 sk_c4=sk_c11|~sQ0_spl|~sQ2_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f618,f603])).
% 0.12/0.58 fof(f909,plain,(
% 0.12/0.58 sk_c12=multiply(sk_c12,sk_c4)|~sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f908,f607])).
% 0.12/0.58 fof(f910,plain,(
% 0.12/0.58 multiply(identity,sk_c4)=identity|~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.58 inference(backward_demodulation,[status(thm)],[f914,f299])).
% 0.12/0.58 fof(f914,plain,(
% 0.12/0.58 sk_c12=identity|~sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f299,f909])).
% 0.12/0.58 fof(f938,plain,(
% 0.12/0.58 identity=sk_c5|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ0_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f914,f606])).
% 0.12/0.58 fof(f939,plain,(
% 0.12/0.58 identity=multiply(inverse(sk_c11),identity)|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ4_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f938,f584])).
% 0.12/0.58 fof(f940,plain,(
% 0.12/0.58 identity=inverse(sk_c11)|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ4_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f618,f939])).
% 0.12/0.58 fof(f941,plain,(
% 0.12/0.58 identity=inverse(sk_c4)|~sQ2_spl|~sQ1_spl|~sQ0_spl|~sQ4_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f908,f940])).
% 0.12/0.58 fof(f962,plain,(
% 0.12/0.58 ~identity=identity|~sQ0_spl|~sQ2_spl|~sQ1_spl|sQ23_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f914,f339])).
% 0.12/0.58 fof(f963,plain,(
% 0.12/0.58 $false|~sQ0_spl|~sQ2_spl|~sQ1_spl|sQ23_spl),
% 0.12/0.58 inference(trivial_equality_resolution,[status(thm)],[f962])).
% 0.12/0.58 fof(f964,plain,(
% 0.12/0.58 ~sQ0_spl|~sQ2_spl|~sQ1_spl|sQ23_spl),
% 0.12/0.58 inference(contradiction_clause,[status(thm)],[f963])).
% 0.12/0.58 fof(f965,plain,(
% 0.12/0.58 sk_c9=multiply(sk_c9,sk_c12)|~sQ6_spl|~sQ5_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f174,f591])).
% 0.12/0.58 fof(f973,plain,(
% 0.12/0.58 ~multiply(identity,sk_c11)=sk_c11|~sQ2_spl|~sQ1_spl|~sQ0_spl|sQ56_spl),
% 0.12/0.58 inference(forward_demodulation,[status(thm)],[f914,f498])).
% 0.12/0.58 fof(f974,plain,(
% 0.12/0.58 ~sk_c11=sk_c11|~sQ2_spl|~sQ1_spl|~sQ0_spl|sQ56_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f75,f973])).
% 0.12/0.59 fof(f975,plain,(
% 0.12/0.59 ~sk_c4=sk_c11|~sQ2_spl|~sQ1_spl|~sQ0_spl|sQ56_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f908,f974])).
% 0.12/0.59 fof(f976,plain,(
% 0.12/0.59 ~sk_c4=sk_c4|~sQ2_spl|~sQ1_spl|~sQ0_spl|sQ56_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f908,f975])).
% 0.12/0.59 fof(f977,plain,(
% 0.12/0.59 $false|~sQ2_spl|~sQ1_spl|~sQ0_spl|sQ56_spl),
% 0.12/0.59 inference(trivial_equality_resolution,[status(thm)],[f976])).
% 0.12/0.59 fof(f978,plain,(
% 0.12/0.59 ~sQ2_spl|~sQ1_spl|~sQ0_spl|sQ56_spl),
% 0.12/0.59 inference(contradiction_clause,[status(thm)],[f977])).
% 0.12/0.59 fof(f993,plain,(
% 0.12/0.59 ~identity=sk_c4|~sQ0_spl|~sQ2_spl|sQ57_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f908,f484])).
% 0.12/0.59 fof(f1032,plain,(
% 0.12/0.59 identity=multiply(inverse(sk_c4),sk_c11)|~sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f914,f586])).
% 0.12/0.59 fof(f1033,plain,(
% 0.12/0.59 identity=multiply(identity,sk_c11)|~sQ4_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f941,f1032])).
% 0.12/0.59 fof(f1035,plain,(
% 0.12/0.59 identity=sk_c11|~sQ4_spl|~sQ0_spl|~sQ2_spl|~sQ1_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f75,f1033])).
% 0.12/0.59 fof(f1037,plain,(
% 0.12/0.59 identity=multiply(sk_c11,sk_c10)|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1035,f610])).
% 0.12/0.59 fof(f1038,plain,(
% 0.12/0.59 identity=multiply(identity,sk_c10)|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1035,f1037])).
% 0.12/0.59 fof(f1040,plain,(
% 0.12/0.59 identity=sk_c10|~sQ0_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f75,f1038])).
% 0.12/0.59 fof(f1060,plain,(
% 0.12/0.59 sk_c4=identity|~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f75,f910])).
% 0.12/0.59 fof(f1061,plain,(
% 0.12/0.59 $false|sQ57_spl|~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.59 inference(forward_subsumption_resolution,[status(thm)],[f1060,f993])).
% 0.12/0.59 fof(f1062,plain,(
% 0.12/0.59 sQ57_spl|~sQ0_spl|~sQ1_spl|~sQ2_spl),
% 0.12/0.59 inference(contradiction_clause,[status(thm)],[f1061])).
% 0.12/0.59 fof(f1208,plain,(
% 0.12/0.59 ~sQ57_spl|~sQ0_spl|sQ58_spl),
% 0.12/0.59 inference(split_clause,[status(thm)],[f527,f482,f150,f486])).
% 0.12/0.59 fof(f1265,plain,(
% 0.12/0.59 sk_c3=sk_c11|~sQ55_spl|~sQ48_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f469,f437])).
% 0.12/0.59 fof(f1276,plain,(
% 0.12/0.59 sk_c3=sk_c10|~sQ0_spl|~sQ12_spl|~sQ11_spl|~sQ51_spl|~sQ55_spl|~sQ48_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f708,f1265])).
% 0.12/0.59 fof(f1280,plain,(
% 0.12/0.59 sk_c10=multiply(inverse(sk_c10),sk_c12)|~sQ0_spl|~sQ12_spl|~sQ51_spl|~sQ11_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f708,f585])).
% 0.12/0.59 fof(f1281,plain,(
% 0.12/0.59 sk_c10=multiply(inverse(sk_c10),sk_c3)|~sQ55_spl|~sQ0_spl|~sQ12_spl|~sQ51_spl|~sQ11_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f469,f1280])).
% 0.12/0.59 fof(f1282,plain,(
% 0.12/0.59 sk_c10=multiply(inverse(sk_c10),sk_c10)|~sQ48_spl|~sQ55_spl|~sQ0_spl|~sQ12_spl|~sQ51_spl|~sQ11_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1276,f1281])).
% 0.12/0.59 fof(f1292,plain,(
% 0.12/0.59 sk_c10=identity|~sQ48_spl|~sQ55_spl|~sQ0_spl|~sQ12_spl|~sQ51_spl|~sQ11_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f76,f1282])).
% 0.12/0.59 fof(f1293,plain,(
% 0.12/0.59 multiply(sk_c10,sk_c10)=sk_c12|~sQ0_spl|~sQ12_spl|~sQ51_spl|~sQ11_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f708,f194])).
% 0.12/0.59 fof(f1294,plain,(
% 0.12/0.59 multiply(identity,sk_c10)=sk_c12|~sQ48_spl|~sQ55_spl|~sQ0_spl|~sQ12_spl|~sQ51_spl|~sQ11_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1292,f1293])).
% 0.12/0.59 fof(f1295,plain,(
% 0.12/0.59 sk_c10=sk_c12|~sQ48_spl|~sQ55_spl|~sQ0_spl|~sQ12_spl|~sQ51_spl|~sQ11_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f75,f1294])).
% 0.12/0.59 fof(f1296,plain,(
% 0.12/0.59 identity=sk_c12|~sQ48_spl|~sQ55_spl|~sQ0_spl|~sQ12_spl|~sQ51_spl|~sQ11_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1292,f1295])).
% 0.12/0.59 fof(f1340,plain,(
% 0.12/0.59 inverse(identity)=sk_c1|~sQ48_spl|~sQ55_spl|~sQ51_spl|~sQ11_spl|~sQ12_spl|~sQ0_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1296,f639])).
% 0.12/0.59 fof(f1341,plain,(
% 0.12/0.59 inverse(identity)=sk_c10|~sQ13_spl|~sQ48_spl|~sQ55_spl|~sQ51_spl|~sQ11_spl|~sQ12_spl|~sQ0_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f698,f1340])).
% 0.12/0.59 fof(f1343,plain,(
% 0.12/0.59 inverse(identity)=identity|~sQ13_spl|~sQ48_spl|~sQ55_spl|~sQ51_spl|~sQ11_spl|~sQ12_spl|~sQ0_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1292,f1341])).
% 0.12/0.59 fof(f1344,plain,(
% 0.12/0.59 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c1)=sk_c12|~sQ48_spl|~sQ55_spl|~sQ51_spl|~sQ11_spl|~sQ0_spl|~sQ12_spl|~sQ17_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1296,f646])).
% 0.12/0.59 fof(f1345,plain,(
% 0.12/0.59 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c10)=sk_c12|~sQ13_spl|~sQ48_spl|~sQ55_spl|~sQ51_spl|~sQ11_spl|~sQ0_spl|~sQ12_spl|~sQ17_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f698,f1344])).
% 0.12/0.59 fof(f1346,plain,(
% 0.12/0.59 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c12|~sQ13_spl|~sQ48_spl|~sQ55_spl|~sQ51_spl|~sQ11_spl|~sQ0_spl|~sQ12_spl|~sQ17_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1292,f1345])).
% 0.12/0.59 fof(f1347,plain,(
% 0.12/0.59 ![X0]: (~inverse(X0)=identity|~X0=sk_c12|~sQ13_spl|~sQ48_spl|~sQ55_spl|~sQ51_spl|~sQ11_spl|~sQ0_spl|~sQ12_spl|~sQ17_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f618,f1346])).
% 0.12/0.59 fof(f1348,plain,(
% 0.12/0.59 ![X0]: (~inverse(X0)=identity|~X0=identity|~sQ13_spl|~sQ48_spl|~sQ55_spl|~sQ51_spl|~sQ11_spl|~sQ0_spl|~sQ12_spl|~sQ17_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1296,f1347])).
% 0.12/0.59 fof(f1349,plain,(
% 0.12/0.59 ~inverse(identity)=identity|~sQ13_spl|~sQ48_spl|~sQ55_spl|~sQ51_spl|~sQ11_spl|~sQ0_spl|~sQ12_spl|~sQ17_spl),
% 0.12/0.59 inference(destructive_equality_resolution,[status(thm)],[f1348])).
% 0.12/0.59 fof(f1350,plain,(
% 0.12/0.59 $false|~sQ13_spl|~sQ48_spl|~sQ55_spl|~sQ51_spl|~sQ11_spl|~sQ0_spl|~sQ12_spl|~sQ17_spl),
% 0.12/0.59 inference(forward_subsumption_resolution,[status(thm)],[f1349,f1343])).
% 0.12/0.59 fof(f1351,plain,(
% 0.12/0.59 ~sQ13_spl|~sQ48_spl|~sQ55_spl|~sQ51_spl|~sQ11_spl|~sQ0_spl|~sQ12_spl|~sQ17_spl),
% 0.12/0.59 inference(contradiction_clause,[status(thm)],[f1350])).
% 0.12/0.59 fof(f1360,plain,(
% 0.12/0.59 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c11)=sk_c12|~sQ23_spl|~sQ17_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f338,f272])).
% 0.12/0.59 fof(f1363,plain,(
% 0.12/0.59 inverse(identity)=sk_c11|~sQ23_spl|~sQ0_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f338,f151])).
% 0.12/0.59 fof(f1371,plain,(
% 0.12/0.59 sk_c10=sk_c1|~sQ12_spl|~sQ11_spl|~sQ13_spl|~sQ0_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f699,f617])).
% 0.12/0.59 fof(f1378,plain,(
% 0.12/0.59 ![X0]: (X0=multiply(sk_c1,multiply(sk_c12,X0))|~sQ12_spl|~sQ0_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f661,f312])).
% 0.12/0.59 fof(f1379,plain,(
% 0.12/0.59 ![X0]: (X0=multiply(sk_c10,multiply(sk_c12,X0))|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1371,f1378])).
% 0.12/0.59 fof(f1380,plain,(
% 0.12/0.59 ![X0]: (X0=multiply(sk_c10,multiply(identity,X0))|~sQ23_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f338,f1379])).
% 0.12/0.59 fof(f1382,plain,(
% 0.12/0.59 ![X0]: (X0=multiply(sk_c10,X0)|~sQ23_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f75,f1380])).
% 0.12/0.59 fof(f1383,plain,(
% 0.12/0.59 ~identity=sk_c1|~sQ0_spl|~sQ12_spl|sQ57_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f661,f484])).
% 0.12/0.59 fof(f1384,plain,(
% 0.12/0.59 ~identity=sk_c10|~sQ11_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|sQ57_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1371,f1383])).
% 0.12/0.59 fof(f1393,plain,(
% 0.12/0.59 sk_c10=identity|~sQ23_spl|~sQ15_spl|~sQ14_spl|~sQ16_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1382,f843])).
% 0.12/0.59 fof(f1394,plain,(
% 0.12/0.59 $false|sQ57_spl|~sQ23_spl|~sQ15_spl|~sQ14_spl|~sQ16_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.12/0.59 inference(forward_subsumption_resolution,[status(thm)],[f1393,f1384])).
% 0.12/0.59 fof(f1395,plain,(
% 0.12/0.59 sQ57_spl|~sQ23_spl|~sQ15_spl|~sQ14_spl|~sQ16_spl|~sQ13_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.12/0.59 inference(contradiction_clause,[status(thm)],[f1394])).
% 0.12/0.59 fof(f1434,plain,(
% 0.12/0.59 multiply(sk_c11,identity)=identity|~sQ23_spl|~sQ0_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f338,f298])).
% 0.12/0.59 fof(f1442,plain,(
% 0.12/0.59 sk_c11=identity|~sQ23_spl|~sQ0_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f618,f1434])).
% 0.12/0.59 fof(f1451,plain,(
% 0.12/0.59 inverse(identity)=identity|~sQ23_spl|~sQ0_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1442,f1363])).
% 0.12/0.59 fof(f1586,plain,(
% 0.12/0.59 ~multiply(identity,sk_c12)=sk_c11|~sQ23_spl|sQ51_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f338,f456])).
% 0.12/0.59 fof(f1587,plain,(
% 0.12/0.59 ~sk_c12=sk_c11|~sQ23_spl|sQ51_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f75,f1586])).
% 0.12/0.59 fof(f1588,plain,(
% 0.12/0.59 ~identity=sk_c11|~sQ23_spl|sQ51_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f338,f1587])).
% 0.12/0.59 fof(f1589,plain,(
% 0.12/0.59 ~identity=identity|~sQ0_spl|~sQ23_spl|sQ51_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1442,f1588])).
% 0.12/0.59 fof(f1590,plain,(
% 0.12/0.59 $false|~sQ0_spl|~sQ23_spl|sQ51_spl),
% 0.12/0.59 inference(trivial_equality_resolution,[status(thm)],[f1589])).
% 0.12/0.59 fof(f1591,plain,(
% 0.12/0.59 ~sQ0_spl|~sQ23_spl|sQ51_spl),
% 0.12/0.59 inference(contradiction_clause,[status(thm)],[f1590])).
% 0.12/0.59 fof(f1602,plain,(
% 0.12/0.59 ~multiply(identity,sk_c10)=sk_c12|~sQ23_spl|~sQ0_spl|sQ11_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1442,f195])).
% 0.12/0.59 fof(f1603,plain,(
% 0.12/0.59 ~sk_c10=sk_c12|~sQ23_spl|~sQ0_spl|sQ11_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f75,f1602])).
% 0.12/0.59 fof(f1604,plain,(
% 0.12/0.59 ~identity=sk_c12|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ23_spl|~sQ0_spl|sQ11_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1040,f1603])).
% 0.12/0.59 fof(f1605,plain,(
% 0.12/0.59 ~identity=identity|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ23_spl|~sQ0_spl|sQ11_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f338,f1604])).
% 0.12/0.59 fof(f1606,plain,(
% 0.12/0.59 $false|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ23_spl|~sQ0_spl|sQ11_spl),
% 0.12/0.59 inference(trivial_equality_resolution,[status(thm)],[f1605])).
% 0.12/0.59 fof(f1607,plain,(
% 0.12/0.59 ~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ23_spl|~sQ0_spl|sQ11_spl),
% 0.12/0.59 inference(contradiction_clause,[status(thm)],[f1606])).
% 0.12/0.59 fof(f1626,plain,(
% 0.12/0.59 ~identity=sk_c11|~sQ23_spl|sQ48_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f338,f438])).
% 0.12/0.59 fof(f1627,plain,(
% 0.12/0.59 ~identity=identity|~sQ0_spl|~sQ23_spl|sQ48_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1442,f1626])).
% 0.12/0.59 fof(f1628,plain,(
% 0.12/0.59 $false|~sQ0_spl|~sQ23_spl|sQ48_spl),
% 0.12/0.59 inference(trivial_equality_resolution,[status(thm)],[f1627])).
% 0.12/0.59 fof(f1629,plain,(
% 0.12/0.59 ~sQ0_spl|~sQ23_spl|sQ48_spl),
% 0.12/0.59 inference(contradiction_clause,[status(thm)],[f1628])).
% 0.12/0.59 fof(f1651,plain,(
% 0.12/0.59 multiply(identity,sk_c10)=sk_c12|~sQ23_spl|~sQ0_spl|~sQ11_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1442,f194])).
% 0.12/0.59 fof(f1652,plain,(
% 0.12/0.59 sk_c10=sk_c12|~sQ23_spl|~sQ0_spl|~sQ11_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f75,f1651])).
% 0.12/0.59 fof(f1653,plain,(
% 0.12/0.59 sk_c10=identity|~sQ23_spl|~sQ0_spl|~sQ11_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f338,f1652])).
% 0.12/0.59 fof(f1666,plain,(
% 0.12/0.59 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c12|~sQ0_spl|~sQ23_spl|~sQ17_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1442,f1360])).
% 0.12/0.59 fof(f1667,plain,(
% 0.12/0.59 ![X0]: (~inverse(X0)=identity|~X0=sk_c12|~sQ0_spl|~sQ23_spl|~sQ17_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f618,f1666])).
% 0.12/0.59 fof(f1668,plain,(
% 0.12/0.59 ![X0]: (~inverse(X0)=identity|~X0=identity|~sQ0_spl|~sQ23_spl|~sQ17_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f338,f1667])).
% 0.12/0.59 fof(f1669,plain,(
% 0.12/0.59 ~inverse(identity)=identity|~sQ0_spl|~sQ23_spl|~sQ17_spl),
% 0.12/0.59 inference(destructive_equality_resolution,[status(thm)],[f1668])).
% 0.12/0.59 fof(f1670,plain,(
% 0.12/0.59 $false|~sQ0_spl|~sQ23_spl|~sQ17_spl),
% 0.12/0.59 inference(forward_subsumption_resolution,[status(thm)],[f1669,f1451])).
% 0.12/0.59 fof(f1671,plain,(
% 0.12/0.59 ~sQ0_spl|~sQ23_spl|~sQ17_spl),
% 0.12/0.59 inference(contradiction_clause,[status(thm)],[f1670])).
% 0.12/0.59 fof(f2093,plain,(
% 0.12/0.59 ![X0]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),sk_c11)=sk_c12|~inverse(sk_c11)=inverse(X0)|~multiply(sk_c12,inverse(X0))=sk_c11|~sQ23_spl|~sQ21_spl|~sQ0_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f338,f549])).
% 0.12/0.59 fof(f2094,plain,(
% 0.12/0.59 ![X0]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),identity)=sk_c12|~inverse(sk_c11)=inverse(X0)|~multiply(sk_c12,inverse(X0))=sk_c11|~sQ23_spl|~sQ21_spl|~sQ0_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1442,f2093])).
% 0.12/0.59 fof(f2095,plain,(
% 0.12/0.59 ![X0]: (~multiply(X0,inverse(X0))=identity|~inverse(X0)=sk_c12|~inverse(sk_c11)=inverse(X0)|~multiply(sk_c12,inverse(X0))=sk_c11|~sQ23_spl|~sQ21_spl|~sQ0_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f618,f2094])).
% 0.12/0.59 fof(f2096,plain,(
% 0.12/0.59 ![X0]: (~multiply(X0,inverse(X0))=identity|~inverse(X0)=identity|~inverse(sk_c11)=inverse(X0)|~multiply(sk_c12,inverse(X0))=sk_c11|~sQ23_spl|~sQ21_spl|~sQ0_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f338,f2095])).
% 0.12/0.59 fof(f2097,plain,(
% 0.12/0.59 ![X0]: (~multiply(X0,inverse(X0))=identity|~inverse(X0)=identity|~inverse(identity)=inverse(X0)|~multiply(sk_c12,inverse(X0))=sk_c11|~sQ23_spl|~sQ21_spl|~sQ0_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1442,f2096])).
% 0.12/0.59 fof(f2098,plain,(
% 0.12/0.59 ![X0]: (~multiply(X0,inverse(X0))=identity|~inverse(X0)=identity|~identity=inverse(X0)|~multiply(sk_c12,inverse(X0))=sk_c11|~sQ23_spl|~sQ21_spl|~sQ0_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1451,f2097])).
% 0.12/0.59 fof(f2099,plain,(
% 0.12/0.59 ![X0]: (~multiply(X0,inverse(X0))=identity|~inverse(X0)=identity|~identity=inverse(X0)|~multiply(identity,inverse(X0))=sk_c11|~sQ23_spl|~sQ21_spl|~sQ0_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f338,f2098])).
% 0.12/0.59 fof(f2100,plain,(
% 0.12/0.59 ![X0]: (~multiply(X0,inverse(X0))=identity|~inverse(X0)=identity|~identity=inverse(X0)|~inverse(X0)=sk_c11|~sQ23_spl|~sQ21_spl|~sQ0_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f75,f2099])).
% 0.12/0.59 fof(f2101,plain,(
% 0.12/0.59 ![X0]: (~multiply(X0,inverse(X0))=identity|~inverse(X0)=identity|~identity=inverse(X0)|~inverse(X0)=identity|~sQ23_spl|~sQ21_spl|~sQ0_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1442,f2100])).
% 0.12/0.59 fof(f2102,plain,(
% 0.12/0.59 ![X0]: (~multiply(X0,inverse(X0))=identity|~inverse(X0)=identity|~sQ23_spl|~sQ21_spl|~sQ0_spl)),
% 0.12/0.59 inference(duplicate_literals_removal,[status(thm)],[f2101])).
% 0.12/0.59 fof(f2327,plain,(
% 0.12/0.59 ~multiply(identity,inverse(identity))=identity|~sQ21_spl|~sQ23_spl|~sQ0_spl),
% 0.12/0.59 inference(resolution,[status(thm)],[f2102,f1451])).
% 0.12/0.59 fof(f2331,plain,(
% 0.12/0.59 ~inverse(identity)=identity|~sQ21_spl|~sQ23_spl|~sQ0_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f75,f2327])).
% 0.12/0.59 fof(f2332,plain,(
% 0.12/0.59 ~identity=identity|~sQ21_spl|~sQ23_spl|~sQ0_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1451,f2331])).
% 0.12/0.59 fof(f2333,plain,(
% 0.12/0.59 $false|~sQ21_spl|~sQ23_spl|~sQ0_spl),
% 0.12/0.59 inference(trivial_equality_resolution,[status(thm)],[f2332])).
% 0.12/0.59 fof(f2334,plain,(
% 0.12/0.59 ~sQ21_spl|~sQ23_spl|~sQ0_spl),
% 0.12/0.59 inference(contradiction_clause,[status(thm)],[f2333])).
% 0.12/0.59 fof(f2335,plain,(
% 0.12/0.59 ![X0]: (~multiply(X0,identity)=sk_c10|~inverse(X0)=sk_c11|~sQ23_spl|~sQ0_spl|~sQ20_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1442,f281])).
% 0.12/0.59 fof(f2336,plain,(
% 0.12/0.59 ![X0]: (~X0=sk_c10|~inverse(X0)=sk_c11|~sQ23_spl|~sQ0_spl|~sQ20_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f618,f2335])).
% 0.12/0.59 fof(f2337,plain,(
% 0.12/0.59 ![X0]: (~X0=identity|~inverse(X0)=sk_c11|~sQ11_spl|~sQ23_spl|~sQ0_spl|~sQ20_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1653,f2336])).
% 0.12/0.59 fof(f2338,plain,(
% 0.12/0.59 ![X0]: (~X0=identity|~inverse(X0)=identity|~sQ11_spl|~sQ23_spl|~sQ0_spl|~sQ20_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f1442,f2337])).
% 0.12/0.59 fof(f2339,plain,(
% 0.12/0.59 ~inverse(identity)=identity|~sQ11_spl|~sQ23_spl|~sQ0_spl|~sQ20_spl),
% 0.12/0.59 inference(destructive_equality_resolution,[status(thm)],[f2338])).
% 0.12/0.59 fof(f2340,plain,(
% 0.12/0.59 $false|~sQ11_spl|~sQ23_spl|~sQ0_spl|~sQ20_spl),
% 0.12/0.59 inference(forward_subsumption_resolution,[status(thm)],[f2339,f1451])).
% 0.12/0.59 fof(f2341,plain,(
% 0.12/0.59 ~sQ11_spl|~sQ23_spl|~sQ0_spl|~sQ20_spl),
% 0.12/0.59 inference(contradiction_clause,[status(thm)],[f2340])).
% 0.12/0.59 fof(f2350,plain,(
% 0.12/0.59 sk_c4=inverse(sk_c12)|~sQ2_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f618,f581])).
% 0.12/0.59 fof(f2353,plain,(
% 0.12/0.59 ~sk_c4=sk_c11|~sQ2_spl|sQ0_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f2350,f152])).
% 0.12/0.59 fof(f2377,plain,(
% 0.12/0.59 ![X0]: (X0=multiply(sk_c4,multiply(sk_c12,X0))|~sQ2_spl)),
% 0.12/0.59 inference(paramodulation,[status(thm)],[f2350,f307])).
% 0.12/0.59 fof(f2378,plain,(
% 0.12/0.59 multiply(sk_c4,sk_c12)=identity|~sQ2_spl),
% 0.12/0.59 inference(paramodulation,[status(thm)],[f2350,f76])).
% 0.12/0.59 fof(f2379,plain,(
% 0.12/0.59 ![X0]: (multiply(sk_c11,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2377,f309])).
% 0.12/0.59 fof(f2380,plain,(
% 0.12/0.59 identity=sk_c11|~sQ2_spl|~sQ1_spl),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2378,f154])).
% 0.12/0.59 fof(f2384,plain,(
% 0.12/0.59 ![X0]: (multiply(sk_c12,X0)=multiply(sk_c9,X0)|~sQ2_spl|~sQ1_spl|~sQ7_spl)),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2379,f289])).
% 0.12/0.59 fof(f2387,plain,(
% 0.12/0.59 ~sk_c4=identity|~sQ1_spl|~sQ2_spl|sQ0_spl),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2380,f2353])).
% 0.12/0.59 fof(f2393,plain,(
% 0.12/0.59 multiply(sk_c9,identity)=sk_c12|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2380,f178])).
% 0.12/0.59 fof(f2400,plain,(
% 0.12/0.59 ![X0]: (X0=multiply(sk_c4,multiply(sk_c9,X0))|~sQ1_spl|~sQ7_spl|~sQ2_spl)),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2384,f2377])).
% 0.12/0.59 fof(f2407,plain,(
% 0.12/0.59 sk_c4=inverse(sk_c9)|~sQ1_spl|~sQ7_spl|~sQ2_spl),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2416,f2350])).
% 0.12/0.59 fof(f2414,plain,(
% 0.12/0.59 sk_c9=multiply(sk_c9,sk_c9)|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2416,f965])).
% 0.12/0.59 fof(f2416,plain,(
% 0.12/0.59 sk_c9=sk_c12|~sQ2_spl|~sQ1_spl|~sQ7_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f618,f2393])).
% 0.12/0.59 fof(f2426,plain,(
% 0.12/0.59 sk_c8=multiply(inverse(sk_c7),identity)|~sQ8_spl),
% 0.12/0.59 inference(paramodulation,[status(thm)],[f302,f307])).
% 0.12/0.59 fof(f2428,plain,(
% 0.12/0.59 sk_c8=sk_c9|~sQ8_spl|~sQ9_spl),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2429,f186])).
% 0.12/0.59 fof(f2429,plain,(
% 0.12/0.59 sk_c8=inverse(sk_c7)|~sQ8_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f618,f2426])).
% 0.12/0.59 fof(f2433,plain,(
% 0.12/0.59 sk_c4=inverse(sk_c8)|~sQ8_spl|~sQ9_spl|~sQ1_spl|~sQ7_spl|~sQ2_spl),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2428,f2407])).
% 0.12/0.59 fof(f2437,plain,(
% 0.12/0.59 multiply(sk_c8,sk_c8)=sk_c7|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2428,f190])).
% 0.12/0.59 fof(f2439,plain,(
% 0.12/0.59 sk_c9=multiply(sk_c9,sk_c8)|~sQ8_spl|~sQ9_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2428,f2414])).
% 0.12/0.59 fof(f2442,plain,(
% 0.12/0.59 ![X0]: (X0=multiply(sk_c4,multiply(sk_c8,X0))|~sQ8_spl|~sQ9_spl|~sQ1_spl|~sQ7_spl|~sQ2_spl)),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2428,f2400])).
% 0.12/0.59 fof(f2447,plain,(
% 0.12/0.59 multiply(sk_c8,sk_c7)=identity|~sQ8_spl|~sQ9_spl),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2428,f303])).
% 0.12/0.59 fof(f2448,plain,(
% 0.12/0.59 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,multiply(sk_c8,X0))|~sQ8_spl|~sQ9_spl|~sQ10_spl)),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2428,f290])).
% 0.12/0.59 fof(f2453,plain,(
% 0.12/0.59 sk_c4=sk_c7|~sQ9_spl|~sQ1_spl|~sQ7_spl|~sQ2_spl|~sQ8_spl),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2433,f182])).
% 0.12/0.59 fof(f2455,plain,(
% 0.12/0.59 sk_c8=multiply(sk_c9,sk_c8)|~sQ8_spl|~sQ9_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f2428,f2439])).
% 0.12/0.59 fof(f2456,plain,(
% 0.12/0.59 sk_c8=sk_c7|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2457,f2437])).
% 0.12/0.59 fof(f2457,plain,(
% 0.12/0.59 sk_c8=multiply(sk_c8,sk_c8)|~sQ8_spl|~sQ9_spl|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f2428,f2455])).
% 0.12/0.59 fof(f2462,plain,(
% 0.12/0.59 ![X0]: (multiply(sk_c4,X0)=multiply(sk_c8,multiply(sk_c8,X0))|~sQ1_spl|~sQ7_spl|~sQ2_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl)),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2453,f2448])).
% 0.12/0.59 fof(f2463,plain,(
% 0.12/0.59 multiply(sk_c8,sk_c4)=identity|~sQ1_spl|~sQ7_spl|~sQ2_spl|~sQ8_spl|~sQ9_spl),
% 0.12/0.59 inference(backward_demodulation,[status(thm)],[f2453,f2447])).
% 0.12/0.59 fof(f2486,plain,(
% 0.12/0.59 sk_c8=sk_c4|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ5_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f2453,f2456])).
% 0.12/0.59 fof(f2490,plain,(
% 0.12/0.59 ![X0]: (multiply(sk_c4,X0)=multiply(sk_c4,multiply(sk_c8,X0))|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ7_spl|~sQ2_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f2486,f2462])).
% 0.12/0.59 fof(f2493,plain,(
% 0.12/0.59 ![X0]: (multiply(sk_c4,X0)=X0|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ7_spl|~sQ2_spl|~sQ8_spl|~sQ9_spl|~sQ10_spl)),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f2442,f2490])).
% 0.12/0.59 fof(f2494,plain,(
% 0.12/0.59 multiply(sk_c4,sk_c4)=identity|~sQ6_spl|~sQ5_spl|~sQ10_spl|~sQ1_spl|~sQ7_spl|~sQ2_spl|~sQ8_spl|~sQ9_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f2486,f2463])).
% 0.12/0.59 fof(f2495,plain,(
% 0.12/0.59 sk_c4=identity|~sQ6_spl|~sQ5_spl|~sQ10_spl|~sQ1_spl|~sQ7_spl|~sQ2_spl|~sQ8_spl|~sQ9_spl),
% 0.12/0.59 inference(forward_demodulation,[status(thm)],[f2493,f2494])).
% 0.12/0.59 fof(f2496,plain,(
% 0.12/0.59 $false|sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ10_spl|~sQ1_spl|~sQ7_spl|~sQ2_spl|~sQ8_spl|~sQ9_spl),
% 0.12/0.59 inference(forward_subsumption_resolution,[status(thm)],[f2495,f2387])).
% 0.12/0.59 fof(f2497,plain,(
% 0.12/0.59 sQ0_spl|~sQ6_spl|~sQ5_spl|~sQ10_spl|~sQ1_spl|~sQ7_spl|~sQ2_spl|~sQ8_spl|~sQ9_spl),
% 0.12/0.59 inference(contradiction_clause,[status(thm)],[f2496])).
% 0.12/0.59 fof(f2498,plain,(
% 0.12/0.59 $false),
% 0.12/0.59 inference(sat_refutation,[status(thm)],[f156,f160,f172,f176,f180,f184,f188,f192,f196,f197,f198,f199,f209,f210,f222,f223,f235,f236,f248,f249,f261,f262,f286,f432,f449,f457,f471,f473,f485,f497,f502,f680,f694,f792,f810,f905,f964,f978,f1062,f1208,f1351,f1395,f1591,f1607,f1629,f1671,f2334,f2341,f2497])).
% 0.12/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.60 % Elapsed time: 0.227465 seconds
% 0.12/0.60 % CPU time: 1.501102 seconds
% 0.12/0.60 % Total memory used: 126.318 MB
% 0.12/0.60 % Net memory used: 125.311 MB
%------------------------------------------------------------------------------