%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP228-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 12:36:17 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP228-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n016.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 20:12:07 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,axiom,(
% 0.13/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f2,axiom,(
% 0.13/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f3,axiom,(
% 0.13/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f4,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c10| inverse(sk_c10) = sk_c9 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f5,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f6,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c10| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f7,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c10| multiply(sk_c5,sk_c8) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f8,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c1) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f13,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c10) = sk_c9 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f14,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f15,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c9) = sk_c10| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f16,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c9) = sk_c10| multiply(sk_c5,sk_c8) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f17,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c1,sk_c9) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f22,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c10,sk_c3) = sk_c9| inverse(sk_c10) = sk_c9 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f23,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c10,sk_c3) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f24,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c10,sk_c3) = sk_c9| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f25,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c10,sk_c3) = sk_c9| multiply(sk_c5,sk_c8) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f26,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c10,sk_c3) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f31,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c10) = sk_c3| inverse(sk_c10) = sk_c9 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f32,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c10) = sk_c3| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f33,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c10) = sk_c3| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f34,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c10) = sk_c3| multiply(sk_c5,sk_c8) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f35,negated_conjecture,(
% 0.13/0.40 ( multiply(sk_c2,sk_c10) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f40,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c10| inverse(sk_c10) = sk_c9 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f41,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f42,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c10| multiply(sk_c4,sk_c9) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f43,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c10| multiply(sk_c5,sk_c8) = sk_c10 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f44,negated_conjecture,(
% 0.13/0.40 ( inverse(sk_c2) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f49,negated_conjecture,(
% 0.13/0.40 (![X4,X5,X6,X1,X3,X2,X7,X8]: (( inverse(X4) != sk_c10| multiply(X4,sk_c9) != sk_c10| multiply(sk_c10,X5) != sk_c9| multiply(X6,sk_c10) != X5| inverse(X6) != sk_c10| inverse(sk_c10) != sk_c9| inverse(X1) != sk_c10| multiply(X1,sk_c9) != sk_c10| multiply(X3,X2) != sk_c10| inverse(X3) != X2| multiply(X2,sk_c9) != sk_c10| inverse(X7) != X8| inverse(X8) != X2| multiply(X7,X2) != X8 ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f50,plain,(
% 0.13/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f51,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f52,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f53,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c10|inverse(sk_c10)=sk_c9),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f54,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f55,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c10|multiply(sk_c4,sk_c9)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f56,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c10|multiply(sk_c5,sk_c8)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.40 fof(f57,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.40 fof(f62,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c10)=sk_c9),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.40 fof(f63,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.40 fof(f64,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c10|multiply(sk_c4,sk_c9)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.40 fof(f65,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c10|multiply(sk_c5,sk_c8)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.40 fof(f66,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.40 fof(f71,plain,(
% 0.13/0.40 multiply(sk_c10,sk_c3)=sk_c9|inverse(sk_c10)=sk_c9),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.40 fof(f72,plain,(
% 0.13/0.40 multiply(sk_c10,sk_c3)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.40 fof(f73,plain,(
% 0.13/0.40 multiply(sk_c10,sk_c3)=sk_c9|multiply(sk_c4,sk_c9)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.40 fof(f74,plain,(
% 0.13/0.40 multiply(sk_c10,sk_c3)=sk_c9|multiply(sk_c5,sk_c8)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.40 fof(f75,plain,(
% 0.13/0.40 multiply(sk_c10,sk_c3)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.40 fof(f80,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c10)=sk_c3|inverse(sk_c10)=sk_c9),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.40 fof(f81,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c10)=sk_c3|inverse(sk_c4)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.40 fof(f82,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c10)=sk_c3|multiply(sk_c4,sk_c9)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.40 fof(f83,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c10)=sk_c3|multiply(sk_c5,sk_c8)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.40 fof(f84,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c10)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f35])).
% 0.13/0.40 fof(f89,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c10|inverse(sk_c10)=sk_c9),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.40 fof(f90,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.40 fof(f91,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c10|multiply(sk_c4,sk_c9)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f42])).
% 0.13/0.40 fof(f92,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c10|multiply(sk_c5,sk_c8)=sk_c10),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f43])).
% 0.13/0.40 fof(f93,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f44])).
% 0.13/0.40 fof(f98,plain,(
% 0.13/0.40 ![X2,X7,X8]: (((((![X3]: (((![X1]: ((((![X6]: ((![X5]: (((![X4]: (~inverse(X4)=sk_c10|~multiply(X4,sk_c9)=sk_c10))|~multiply(sk_c10,X5)=sk_c9)|~multiply(X6,sk_c10)=X5))|~inverse(X6)=sk_c10))|~inverse(sk_c10)=sk_c9)|~inverse(X1)=sk_c10)|~multiply(X1,sk_c9)=sk_c10))|~multiply(X3,X2)=sk_c10)|~inverse(X3)=X2))|~multiply(X2,sk_c9)=sk_c10)|~inverse(X7)=X8)|~inverse(X8)=X2)|~multiply(X7,X2)=X8)),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f49])).
% 0.13/0.40 fof(f99,plain,(
% 0.13/0.40 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10|~multiply(sk_c10,X1)=sk_c9|~multiply(X2,sk_c10)=X1|~inverse(X2)=sk_c10|~inverse(sk_c10)=sk_c9|~inverse(X3)=sk_c10|~multiply(X3,sk_c9)=sk_c10|~multiply(X4,X5)=sk_c10|~inverse(X4)=X5|~multiply(X5,sk_c9)=sk_c10|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f98])).
% 0.13/0.40 fof(f100,definition,(
% 0.13/0.40 sQ0_spl <=> (inverse(sk_c1)=sk_c10)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f101,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c10|~sQ0_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f100])).
% 0.13/0.40 fof(f103,definition,(
% 0.13/0.40 sQ1_spl <=> (inverse(sk_c10)=sk_c9)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f104,plain,(
% 0.13/0.40 inverse(sk_c10)=sk_c9|~sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f103])).
% 0.13/0.40 fof(f105,plain,(
% 0.13/0.40 ~inverse(sk_c10)=sk_c9|sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f103])).
% 0.13/0.40 fof(f106,plain,(
% 0.13/0.40 sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f53,f100,f103])).
% 0.13/0.40 fof(f107,definition,(
% 0.13/0.40 sQ2_spl <=> (inverse(sk_c4)=sk_c10)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f108,plain,(
% 0.13/0.40 inverse(sk_c4)=sk_c10|~sQ2_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f107])).
% 0.13/0.40 fof(f110,plain,(
% 0.13/0.40 sQ0_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f54,f100,f107])).
% 0.13/0.40 fof(f111,definition,(
% 0.13/0.40 sQ3_spl <=> (multiply(sk_c4,sk_c9)=sk_c10)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f112,plain,(
% 0.13/0.40 multiply(sk_c4,sk_c9)=sk_c10|~sQ3_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f111])).
% 0.13/0.40 fof(f114,plain,(
% 0.13/0.40 sQ0_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f55,f100,f111])).
% 0.13/0.40 fof(f115,definition,(
% 0.13/0.40 sQ4_spl <=> (multiply(sk_c5,sk_c8)=sk_c10)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f116,plain,(
% 0.13/0.40 multiply(sk_c5,sk_c8)=sk_c10|~sQ4_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f115])).
% 0.13/0.40 fof(f118,plain,(
% 0.13/0.40 sQ0_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f56,f100,f115])).
% 0.13/0.40 fof(f119,definition,(
% 0.13/0.40 sQ5_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f120,plain,(
% 0.13/0.40 inverse(sk_c5)=sk_c8|~sQ5_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f119])).
% 0.13/0.40 fof(f122,plain,(
% 0.13/0.40 sQ0_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f57,f100,f119])).
% 0.13/0.40 fof(f139,definition,(
% 0.13/0.40 sQ10_spl <=> (multiply(sk_c1,sk_c9)=sk_c10)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f140,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c10|~sQ10_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f139])).
% 0.13/0.40 fof(f142,plain,(
% 0.13/0.40 sQ10_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f62,f139,f103])).
% 0.13/0.40 fof(f143,plain,(
% 0.13/0.40 sQ10_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f63,f139,f107])).
% 0.13/0.40 fof(f144,plain,(
% 0.13/0.40 sQ10_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f64,f139,f111])).
% 0.13/0.40 fof(f145,plain,(
% 0.13/0.40 sQ10_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f65,f139,f115])).
% 0.13/0.40 fof(f146,plain,(
% 0.13/0.40 sQ10_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f66,f139,f119])).
% 0.13/0.40 fof(f151,definition,(
% 0.13/0.40 sQ11_spl <=> (multiply(sk_c10,sk_c3)=sk_c9)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f152,plain,(
% 0.13/0.40 multiply(sk_c10,sk_c3)=sk_c9|~sQ11_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f151])).
% 0.13/0.40 fof(f154,plain,(
% 0.13/0.40 sQ11_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f71,f151,f103])).
% 0.13/0.40 fof(f155,plain,(
% 0.13/0.40 sQ11_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f72,f151,f107])).
% 0.13/0.40 fof(f156,plain,(
% 0.13/0.40 sQ11_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f73,f151,f111])).
% 0.13/0.40 fof(f157,plain,(
% 0.13/0.40 sQ11_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f74,f151,f115])).
% 0.13/0.40 fof(f158,plain,(
% 0.13/0.40 sQ11_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f75,f151,f119])).
% 0.13/0.40 fof(f163,definition,(
% 0.13/0.40 sQ12_spl <=> (multiply(sk_c2,sk_c10)=sk_c3)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f164,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c10)=sk_c3|~sQ12_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f163])).
% 0.13/0.40 fof(f166,plain,(
% 0.13/0.40 sQ12_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f80,f163,f103])).
% 0.13/0.40 fof(f167,plain,(
% 0.13/0.40 sQ12_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f81,f163,f107])).
% 0.13/0.40 fof(f168,plain,(
% 0.13/0.40 sQ12_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f82,f163,f111])).
% 0.13/0.40 fof(f169,plain,(
% 0.13/0.40 sQ12_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f83,f163,f115])).
% 0.13/0.40 fof(f170,plain,(
% 0.13/0.40 sQ12_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f84,f163,f119])).
% 0.13/0.40 fof(f175,definition,(
% 0.13/0.40 sQ13_spl <=> (inverse(sk_c2)=sk_c10)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f176,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c10|~sQ13_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f175])).
% 0.13/0.40 fof(f178,plain,(
% 0.13/0.40 sQ13_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f89,f175,f103])).
% 0.13/0.40 fof(f179,plain,(
% 0.13/0.40 sQ13_spl|sQ2_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f90,f175,f107])).
% 0.13/0.40 fof(f180,plain,(
% 0.13/0.40 sQ13_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f91,f175,f111])).
% 0.13/0.40 fof(f181,plain,(
% 0.13/0.40 sQ13_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f92,f175,f115])).
% 0.13/0.40 fof(f182,plain,(
% 0.13/0.40 sQ13_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f93,f175,f119])).
% 0.13/0.40 fof(f187,definition,(
% 0.13/0.40 ![X0]: (sQ14_spl <=> (~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f188,plain,(
% 0.13/0.40 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c9)=sk_c10|~sQ14_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f187])).
% 0.13/0.40 fof(f190,definition,(
% 0.13/0.40 ![X1,X2]: (sQ15_spl <=> (~multiply(sk_c10,X1)=sk_c9|~multiply(X2,sk_c10)=X1|~inverse(X2)=sk_c10))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f191,plain,(
% 0.13/0.40 ![X0,X1]: (~multiply(sk_c10,X0)=sk_c9|~multiply(X1,sk_c10)=X0|~inverse(X1)=sk_c10|~sQ15_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f190])).
% 0.13/0.40 fof(f193,definition,(
% 0.13/0.40 ![X4,X5,X6,X7]: (sQ16_spl <=> (~multiply(X4,X5)=sk_c10|~inverse(X4)=X5|~multiply(X5,sk_c9)=sk_c10|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f194,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10|~inverse(X2)=X3|~inverse(X3)=X1|~multiply(X2,X1)=X3|~sQ16_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f193])).
% 0.13/0.40 fof(f196,plain,(
% 0.13/0.40 sQ14_spl|sQ15_spl|~sQ1_spl|sQ16_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f99,f187,f190,f103,f193])).
% 0.13/0.40 fof(f197,plain,(
% 0.13/0.40 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c10|~multiply(inverse(X0),sk_c9)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ16_spl)),
% 0.13/0.40 inference(destructive_equality_resolution,[status(thm)],[f194])).
% 0.13/0.40 fof(f205,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c3,X0)=multiply(sk_c2,multiply(sk_c10,X0))|~sQ12_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f164,f52])).
% 0.13/0.40 fof(f221,plain,(
% 0.13/0.40 ![X0]: (~multiply(sk_c2,inverse(sk_c2))=sk_c10|~multiply(inverse(sk_c2),sk_c9)=sk_c10|~inverse(inverse(X0))=inverse(sk_c2)|~multiply(X0,sk_c10)=inverse(X0)|~sQ16_spl|~sQ13_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f176,f197])).
% 0.13/0.40 fof(f272,definition,(
% 0.13/0.40 sQ32_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c10)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f274,plain,(
% 0.13/0.40 ~multiply(sk_c2,inverse(sk_c2))=sk_c10|sQ32_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f272])).
% 0.13/0.40 fof(f275,definition,(
% 0.13/0.40 sQ33_spl <=> (multiply(inverse(sk_c2),sk_c9)=sk_c10)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f277,plain,(
% 0.13/0.40 ~multiply(inverse(sk_c2),sk_c9)=sk_c10|sQ33_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f275])).
% 0.13/0.40 fof(f278,definition,(
% 0.13/0.40 ![X0]: (sQ34_spl <=> (~inverse(inverse(X0))=inverse(sk_c2)|~multiply(X0,sk_c10)=inverse(X0)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f279,plain,(
% 0.13/0.40 ![X0]: (~inverse(inverse(X0))=inverse(sk_c2)|~multiply(X0,sk_c10)=inverse(X0)|~sQ34_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f278])).
% 0.13/0.40 fof(f281,plain,(
% 0.13/0.40 ~sQ32_spl|~sQ33_spl|sQ34_spl|~sQ16_spl|~sQ13_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f221,f272,f275,f278,f193,f175])).
% 0.13/0.40 fof(f282,plain,(
% 0.13/0.40 ![X0]: (~inverse(inverse(X0))=sk_c10|~multiply(X0,sk_c10)=inverse(X0)|~sQ13_spl|~sQ34_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f176,f279])).
% 0.13/0.40 fof(f283,plain,(
% 0.13/0.40 ~multiply(sk_c10,sk_c9)=sk_c10|~sQ13_spl|sQ33_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f176,f277])).
% 0.13/0.40 fof(f284,plain,(
% 0.13/0.40 ~multiply(sk_c2,sk_c10)=sk_c10|~sQ13_spl|sQ32_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f176,f274])).
% 0.13/0.40 fof(f285,plain,(
% 0.13/0.40 ~sk_c3=sk_c10|~sQ12_spl|~sQ13_spl|sQ32_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f164,f284])).
% 0.13/0.40 fof(f289,plain,(
% 0.13/0.40 ![X0]: (~multiply(sk_c10,multiply(X0,sk_c10))=sk_c9|~inverse(X0)=sk_c10|~sQ15_spl)),
% 0.13/0.40 inference(destructive_equality_resolution,[status(thm)],[f191])).
% 0.13/0.40 fof(f291,plain,(
% 0.13/0.40 ~multiply(sk_c10,sk_c3)=sk_c9|~inverse(sk_c2)=sk_c10|~sQ15_spl|~sQ12_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f164,f289])).
% 0.13/0.40 fof(f292,plain,(
% 0.13/0.40 ~sQ11_spl|~sQ13_spl|~sQ15_spl|~sQ12_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f291,f151,f175,f190,f163])).
% 0.13/0.40 fof(f299,plain,(
% 0.13/0.40 multiply(sk_c10,sk_c2)=identity|~sQ13_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f176,f51])).
% 0.13/0.40 fof(f300,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f51,f52])).
% 0.13/0.40 fof(f301,plain,(
% 0.13/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f50,f300])).
% 0.13/0.40 fof(f315,plain,(
% 0.13/0.40 ~inverse(sk_c4)=sk_c10|~sQ14_spl|~sQ3_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f188,f112])).
% 0.13/0.40 fof(f319,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c10|~sk_c9=sk_c10|~sQ14_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f50,f188])).
% 0.13/0.40 fof(f323,plain,(
% 0.13/0.40 ~inverse(sk_c1)=sk_c10|~sk_c10=sk_c10|~sQ14_spl|~sQ10_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f140,f188])).
% 0.13/0.40 fof(f324,plain,(
% 0.13/0.40 ~sk_c10=sk_c10|~sQ2_spl|~sQ14_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f108,f315])).
% 0.13/0.40 fof(f325,plain,(
% 0.13/0.40 $false|~sQ2_spl|~sQ14_spl|~sQ3_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f324])).
% 0.13/0.40 fof(f326,plain,(
% 0.13/0.40 ~sQ2_spl|~sQ14_spl|~sQ3_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f325])).
% 0.13/0.40 fof(f327,plain,(
% 0.13/0.40 ~multiply(identity,inverse(identity))=sk_c10|~multiply(inverse(identity),sk_c9)=sk_c10|~inverse(inverse(identity))=inverse(identity)|~sQ16_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f197,f50])).
% 0.13/0.40 fof(f337,definition,(
% 0.13/0.40 sQ35_spl <=> (multiply(identity,inverse(identity))=sk_c10)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f339,plain,(
% 0.13/0.40 ~multiply(identity,inverse(identity))=sk_c10|sQ35_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f337])).
% 0.13/0.40 fof(f340,definition,(
% 0.13/0.40 sQ36_spl <=> (multiply(inverse(identity),sk_c9)=sk_c10)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f342,plain,(
% 0.13/0.40 ~multiply(inverse(identity),sk_c9)=sk_c10|sQ36_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f340])).
% 0.13/0.40 fof(f343,definition,(
% 0.13/0.40 sQ37_spl <=> (inverse(inverse(identity))=inverse(identity))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f346,plain,(
% 0.13/0.40 ~sQ35_spl|~sQ36_spl|~sQ37_spl|~sQ16_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f327,f337,f340,f343,f193])).
% 0.13/0.40 fof(f365,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c10|sQ35_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f50,f339])).
% 0.13/0.40 fof(f410,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f50,f301])).
% 0.13/0.40 fof(f413,plain,(
% 0.13/0.40 sk_c9=multiply(inverse(sk_c4),sk_c10)|~sQ3_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f112,f301])).
% 0.13/0.40 fof(f415,plain,(
% 0.13/0.40 sk_c8=multiply(inverse(sk_c5),sk_c10)|~sQ4_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f116,f301])).
% 0.13/0.40 fof(f422,plain,(
% 0.13/0.40 sk_c10=multiply(inverse(sk_c2),sk_c3)|~sQ12_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f164,f301])).
% 0.13/0.40 fof(f428,plain,(
% 0.13/0.40 sk_c9=multiply(sk_c10,sk_c10)|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f108,f413])).
% 0.13/0.40 fof(f430,plain,(
% 0.13/0.40 sk_c8=multiply(sk_c8,sk_c10)|~sQ5_spl|~sQ4_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f120,f415])).
% 0.13/0.40 fof(f433,plain,(
% 0.13/0.40 sk_c10=multiply(sk_c10,sk_c3)|~sQ13_spl|~sQ12_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f176,f422])).
% 0.13/0.40 fof(f463,plain,(
% 0.13/0.40 ~multiply(sk_c10,sk_c10)=sk_c9|~inverse(identity)=sk_c10|~sQ15_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f50,f289])).
% 0.13/0.40 fof(f480,definition,(
% 0.13/0.40 sQ45_spl <=> (multiply(sk_c10,sk_c10)=sk_c9)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f482,plain,(
% 0.13/0.40 ~multiply(sk_c10,sk_c10)=sk_c9|sQ45_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f480])).
% 0.13/0.40 fof(f491,definition,(
% 0.13/0.40 sQ48_spl <=> (inverse(identity)=sk_c10)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f492,plain,(
% 0.13/0.40 inverse(identity)=sk_c10|~sQ48_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f491])).
% 0.13/0.40 fof(f493,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c10|sQ48_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f491])).
% 0.13/0.40 fof(f494,plain,(
% 0.13/0.40 ~sQ45_spl|~sQ48_spl|~sQ15_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f463,f480,f491,f190])).
% 0.13/0.40 fof(f496,plain,(
% 0.13/0.40 ~sk_c9=sk_c9|~sQ2_spl|~sQ3_spl|sQ45_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f428,f482])).
% 0.13/0.40 fof(f497,plain,(
% 0.13/0.40 $false|~sQ2_spl|~sQ3_spl|sQ45_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f496])).
% 0.13/0.40 fof(f498,plain,(
% 0.13/0.40 ~sQ2_spl|~sQ3_spl|sQ45_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f497])).
% 0.13/0.40 fof(f505,plain,(
% 0.13/0.40 sk_c10=multiply(inverse(sk_c8),sk_c8)|~sQ5_spl|~sQ4_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f430,f301])).
% 0.13/0.40 fof(f516,plain,(
% 0.13/0.40 sk_c10=identity|~sQ5_spl|~sQ4_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f51,f505])).
% 0.13/0.40 fof(f517,plain,(
% 0.13/0.40 ~inverse(sk_c10)=sk_c10|~sQ5_spl|~sQ4_spl|sQ48_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f516,f493])).
% 0.13/0.40 fof(f518,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(inverse(sk_c10),X0)|~sQ5_spl|~sQ4_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f516,f410])).
% 0.13/0.40 fof(f527,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c10,X0)=X0|~sQ5_spl|~sQ4_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f516,f50])).
% 0.13/0.40 fof(f528,plain,(
% 0.13/0.40 ~sk_c9=sk_c10|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ48_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f104,f517])).
% 0.13/0.40 fof(f529,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c9,X0)|~sQ1_spl|~sQ5_spl|~sQ4_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f104,f518])).
% 0.13/0.40 fof(f536,plain,(
% 0.13/0.40 sk_c9=sk_c10|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f527,f428])).
% 0.13/0.40 fof(f541,plain,(
% 0.13/0.40 $false|~sQ1_spl|sQ48_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f536,f528])).
% 0.13/0.40 fof(f542,plain,(
% 0.13/0.40 ~sQ1_spl|sQ48_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f541])).
% 0.13/0.40 fof(f555,plain,(
% 0.13/0.40 ~multiply(inverse(sk_c10),sk_c9)=sk_c10|~sQ5_spl|~sQ4_spl|sQ36_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f516,f342])).
% 0.13/0.40 fof(f556,plain,(
% 0.13/0.40 ~multiply(sk_c9,sk_c9)=sk_c10|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ36_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f104,f555])).
% 0.13/0.40 fof(f557,plain,(
% 0.13/0.40 ~sk_c9=sk_c10|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ36_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f529,f556])).
% 0.13/0.40 fof(f558,plain,(
% 0.13/0.40 ~sQ48_spl|sQ35_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f365,f491,f337])).
% 0.13/0.40 fof(f569,plain,(
% 0.13/0.40 inverse(sk_c10)=sk_c10|~sQ5_spl|~sQ4_spl|~sQ48_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f516,f492])).
% 0.13/0.40 fof(f570,plain,(
% 0.13/0.40 sk_c9=sk_c10|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ48_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f104,f569])).
% 0.13/0.40 fof(f578,definition,(
% 0.13/0.40 sQ53_spl <=> (sk_c9=sk_c10)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f581,plain,(
% 0.13/0.40 ~sQ48_spl|~sQ53_spl|~sQ14_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f319,f491,f578,f187])).
% 0.13/0.40 fof(f582,definition,(
% 0.13/0.40 sQ54_spl <=> (sk_c10=sk_c10)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f584,plain,(
% 0.13/0.40 ~sk_c10=sk_c10|sQ54_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f582])).
% 0.13/0.40 fof(f586,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ54_spl|~sQ14_spl|~sQ10_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f323,f100,f582,f187,f139])).
% 0.13/0.40 fof(f587,plain,(
% 0.13/0.40 $false|sQ54_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f584])).
% 0.13/0.40 fof(f588,plain,(
% 0.13/0.40 sQ54_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f587])).
% 0.13/0.40 fof(f601,plain,(
% 0.13/0.40 sk_c10=sk_c9|~sQ11_spl|~sQ13_spl|~sQ12_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f152,f433])).
% 0.13/0.40 fof(f606,plain,(
% 0.13/0.40 multiply(sk_c9,sk_c3)=sk_c9|~sQ13_spl|~sQ12_spl|~sQ11_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f601,f152])).
% 0.13/0.40 fof(f607,plain,(
% 0.13/0.40 multiply(sk_c1,sk_c9)=sk_c9|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f601,f140])).
% 0.13/0.40 fof(f608,plain,(
% 0.13/0.40 ~inverse(identity)=sk_c9|~sQ11_spl|~sQ13_spl|~sQ12_spl|sQ48_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f601,f493])).
% 0.13/0.40 fof(f609,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c9|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f601,f101])).
% 0.13/0.40 fof(f613,plain,(
% 0.13/0.40 ~sk_c3=sk_c9|~sQ11_spl|~sQ12_spl|~sQ13_spl|sQ32_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f601,f285])).
% 0.13/0.40 fof(f614,plain,(
% 0.13/0.40 multiply(sk_c2,sk_c9)=sk_c3|~sQ11_spl|~sQ13_spl|~sQ12_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f601,f164])).
% 0.13/0.40 fof(f615,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c9|~sQ11_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f601,f176])).
% 0.13/0.40 fof(f694,plain,(
% 0.13/0.40 ~multiply(sk_c9,sk_c9)=sk_c10|~sQ11_spl|~sQ12_spl|~sQ13_spl|sQ33_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f601,f283])).
% 0.13/0.40 fof(f695,plain,(
% 0.13/0.40 ~multiply(sk_c9,sk_c9)=sk_c9|~sQ11_spl|~sQ12_spl|~sQ13_spl|sQ33_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f601,f694])).
% 0.13/0.40 fof(f713,plain,(
% 0.13/0.40 multiply(sk_c9,sk_c2)=identity|~sQ11_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f601,f299])).
% 0.13/0.40 fof(f723,plain,(
% 0.13/0.40 multiply(sk_c9,sk_c1)=identity|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f609,f51])).
% 0.13/0.40 fof(f734,plain,(
% 0.13/0.40 sk_c3=multiply(inverse(sk_c9),sk_c9)|~sQ13_spl|~sQ12_spl|~sQ11_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f606,f301])).
% 0.13/0.40 fof(f736,plain,(
% 0.13/0.40 sk_c3=identity|~sQ13_spl|~sQ12_spl|~sQ11_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f51,f734])).
% 0.13/0.40 fof(f741,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ13_spl|~sQ12_spl|~sQ11_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f736,f51])).
% 0.13/0.40 fof(f743,plain,(
% 0.13/0.40 multiply(sk_c9,sk_c2)=sk_c3|~sQ11_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f736,f713])).
% 0.13/0.40 fof(f747,plain,(
% 0.13/0.40 ~inverse(sk_c3)=sk_c9|~sQ11_spl|~sQ13_spl|~sQ12_spl|sQ48_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f736,f608])).
% 0.13/0.40 fof(f749,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c3,X0)=X0|~sQ13_spl|~sQ12_spl|~sQ11_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f736,f50])).
% 0.13/0.40 fof(f814,plain,(
% 0.13/0.40 sk_c9=multiply(inverse(sk_c1),sk_c9)|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f607,f301])).
% 0.13/0.40 fof(f816,plain,(
% 0.13/0.40 sk_c9=multiply(sk_c9,sk_c9)|~sQ0_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f609,f814])).
% 0.13/0.40 fof(f836,plain,(
% 0.13/0.40 multiply(sk_c9,sk_c1)=sk_c3|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f736,f723])).
% 0.13/0.40 fof(f855,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c2,multiply(sk_c10,X0))|~sQ13_spl|~sQ11_spl|~sQ12_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f749,f205])).
% 0.13/0.40 fof(f856,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c2,multiply(sk_c9,X0))|~sQ13_spl|~sQ11_spl|~sQ12_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f601,f855])).
% 0.13/0.40 fof(f863,plain,(
% 0.13/0.40 ![X0]: (~inverse(inverse(X0))=sk_c9|~multiply(X0,sk_c10)=inverse(X0)|~sQ11_spl|~sQ12_spl|~sQ13_spl|~sQ34_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f601,f282])).
% 0.13/0.40 fof(f864,plain,(
% 0.13/0.40 ![X0]: (~inverse(inverse(X0))=sk_c9|~multiply(X0,sk_c9)=inverse(X0)|~sQ11_spl|~sQ12_spl|~sQ13_spl|~sQ34_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f601,f863])).
% 0.13/0.40 fof(f865,plain,(
% 0.13/0.40 ~inverse(inverse(sk_c1))=sk_c9|~sk_c9=inverse(sk_c1)|~sQ34_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f607,f864])).
% 0.13/0.40 fof(f871,definition,(
% 0.13/0.40 sQ76_spl <=> (inverse(inverse(sk_c1))=sk_c9)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f873,plain,(
% 0.13/0.40 ~inverse(inverse(sk_c1))=sk_c9|sQ76_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f871])).
% 0.13/0.40 fof(f874,definition,(
% 0.13/0.40 sQ77_spl <=> (sk_c9=inverse(sk_c1))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f876,plain,(
% 0.13/0.40 ~sk_c9=inverse(sk_c1)|sQ77_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f874])).
% 0.13/0.40 fof(f877,plain,(
% 0.13/0.40 ~sQ76_spl|~sQ77_spl|~sQ34_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f865,f871,f874,f278,f151,f175,f163,f139])).
% 0.13/0.40 fof(f905,plain,(
% 0.13/0.40 ~sk_c9=sk_c9|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ77_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f609,f876])).
% 0.13/0.40 fof(f906,plain,(
% 0.13/0.40 $false|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ77_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f905])).
% 0.13/0.40 fof(f907,plain,(
% 0.13/0.40 ~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ77_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f906])).
% 0.13/0.40 fof(f908,plain,(
% 0.13/0.40 ~inverse(sk_c9)=sk_c9|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ76_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f609,f873])).
% 0.13/0.40 fof(f930,plain,(
% 0.13/0.40 sk_c9=multiply(sk_c2,sk_c9)|~sQ0_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f816,f856])).
% 0.13/0.40 fof(f932,plain,(
% 0.13/0.40 sk_c9=multiply(inverse(sk_c9),sk_c9)|~sQ0_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f816,f301])).
% 0.13/0.40 fof(f934,plain,(
% 0.13/0.40 sk_c9=sk_c3|~sQ0_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f614,f930])).
% 0.13/0.40 fof(f935,plain,(
% 0.13/0.40 $false|sQ32_spl|~sQ0_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f934,f613])).
% 0.13/0.40 fof(f936,plain,(
% 0.13/0.40 sQ32_spl|~sQ0_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f935])).
% 0.13/0.40 fof(f944,plain,(
% 0.13/0.40 sk_c9=sk_c3|~sQ0_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f741,f932])).
% 0.13/0.40 fof(f961,plain,(
% 0.13/0.40 multiply(sk_c3,sk_c2)=sk_c3|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f944,f743])).
% 0.13/0.40 fof(f962,plain,(
% 0.13/0.40 multiply(sk_c3,sk_c1)=sk_c3|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f944,f836])).
% 0.13/0.40 fof(f966,plain,(
% 0.13/0.40 ~inverse(sk_c3)=sk_c3|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|sQ48_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f944,f747])).
% 0.13/0.40 fof(f974,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c3|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f944,f615])).
% 0.13/0.40 fof(f976,plain,(
% 0.13/0.40 inverse(sk_c1)=sk_c3|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f944,f609])).
% 0.13/0.40 fof(f979,plain,(
% 0.13/0.40 sk_c10=sk_c3|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f944,f601])).
% 0.13/0.40 fof(f984,plain,(
% 0.13/0.40 sk_c2=sk_c3|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f749,f961])).
% 0.13/0.40 fof(f985,plain,(
% 0.13/0.40 sk_c1=sk_c3|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f749,f962])).
% 0.13/0.40 fof(f1009,plain,(
% 0.13/0.40 sk_c9=sk_c2|~sQ0_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ10_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f984,f944])).
% 0.13/0.40 fof(f1016,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c2,X0)=X0|~sQ0_spl|~sQ10_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f984,f749])).
% 0.13/0.40 fof(f1018,plain,(
% 0.13/0.40 sk_c1=sk_c2|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f984,f985])).
% 0.13/0.40 fof(f1028,plain,(
% 0.13/0.40 sk_c10=sk_c2|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f984,f979])).
% 0.13/0.40 fof(f1034,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c3|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|sQ48_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f984,f966])).
% 0.13/0.40 fof(f1035,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c2|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|sQ48_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f984,f1034])).
% 0.13/0.40 fof(f1036,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c2|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f984,f974])).
% 0.13/0.40 fof(f1037,plain,(
% 0.13/0.40 $false|sQ48_spl|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1036,f1035])).
% 0.13/0.40 fof(f1038,plain,(
% 0.13/0.40 sQ48_spl|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1037])).
% 0.13/0.40 fof(f1040,plain,(
% 0.13/0.40 sk_c9=identity|~sQ1_spl|~sQ48_spl|~sQ5_spl|~sQ4_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f570,f516])).
% 0.13/0.40 fof(f1052,plain,(
% 0.13/0.40 ~sk_c9=sk_c9|~sQ48_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ36_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f570,f557])).
% 0.13/0.40 fof(f1053,plain,(
% 0.13/0.40 $false|~sQ48_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ36_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f1052])).
% 0.13/0.40 fof(f1054,plain,(
% 0.13/0.40 ~sQ48_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|sQ36_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1053])).
% 0.13/0.40 fof(f1066,plain,(
% 0.13/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ1_spl|~sQ48_spl|~sQ5_spl|~sQ4_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1040,f51])).
% 0.13/0.40 fof(f1072,plain,(
% 0.13/0.40 ![X0]: (multiply(sk_c9,X0)=X0|~sQ1_spl|~sQ48_spl|~sQ5_spl|~sQ4_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1040,f50])).
% 0.13/0.40 fof(f1110,plain,(
% 0.13/0.40 inverse(sk_c9)=sk_c10|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ48_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1040,f492])).
% 0.13/0.40 fof(f1111,plain,(
% 0.13/0.40 inverse(sk_c9)=sk_c9|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ48_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f570,f1110])).
% 0.13/0.40 fof(f1117,plain,(
% 0.13/0.40 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c9)=sk_c10|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ48_spl|~sQ16_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f570,f197])).
% 0.13/0.40 fof(f1118,plain,(
% 0.13/0.40 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c9|~multiply(inverse(X0),sk_c9)=sk_c9|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ48_spl|~sQ16_spl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f570,f1117])).
% 0.13/0.40 fof(f1119,plain,(
% 0.13/0.40 ~multiply(sk_c9,inverse(sk_c9))=sk_c9|~multiply(inverse(sk_c9),sk_c9)=sk_c9|~inverse(inverse(sk_c9))=inverse(sk_c9)|~sQ16_spl|~sQ1_spl|~sQ48_spl|~sQ5_spl|~sQ4_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f1118,f1072])).
% 0.13/0.40 fof(f1127,definition,(
% 0.13/0.40 sQ89_spl <=> (multiply(sk_c9,inverse(sk_c9))=sk_c9)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f1129,plain,(
% 0.13/0.40 ~multiply(sk_c9,inverse(sk_c9))=sk_c9|sQ89_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f1127])).
% 0.13/0.40 fof(f1130,definition,(
% 0.13/0.40 sQ90_spl <=> (multiply(inverse(sk_c9),sk_c9)=sk_c9)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f1132,plain,(
% 0.13/0.40 ~multiply(inverse(sk_c9),sk_c9)=sk_c9|sQ90_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f1130])).
% 0.13/0.40 fof(f1133,definition,(
% 0.13/0.40 sQ91_spl <=> (inverse(inverse(sk_c9))=inverse(sk_c9))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f1135,plain,(
% 0.13/0.40 ~inverse(inverse(sk_c9))=inverse(sk_c9)|sQ91_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f1133])).
% 0.13/0.40 fof(f1136,plain,(
% 0.13/0.40 ~sQ89_spl|~sQ90_spl|~sQ91_spl|~sQ16_spl|~sQ1_spl|~sQ48_spl|~sQ5_spl|~sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f1119,f1127,f1130,f1133,f193,f103,f491,f119,f115])).
% 0.13/0.40 fof(f1154,plain,(
% 0.13/0.40 ~sk_c9=sk_c9|~sQ1_spl|~sQ48_spl|~sQ5_spl|~sQ4_spl|sQ90_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1066,f1132])).
% 0.13/0.40 fof(f1155,plain,(
% 0.13/0.40 $false|~sQ1_spl|~sQ48_spl|~sQ5_spl|~sQ4_spl|sQ90_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f1154])).
% 0.13/0.40 fof(f1156,plain,(
% 0.13/0.40 ~sQ1_spl|~sQ48_spl|~sQ5_spl|~sQ4_spl|sQ90_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1155])).
% 0.13/0.40 fof(f1157,plain,(
% 0.13/0.40 ~inverse(sk_c9)=sk_c9|~sQ1_spl|~sQ48_spl|~sQ5_spl|~sQ4_spl|sQ89_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1072,f1129])).
% 0.13/0.40 fof(f1158,plain,(
% 0.13/0.40 ~sk_c9=sk_c9|~sQ1_spl|~sQ48_spl|~sQ5_spl|~sQ4_spl|sQ89_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1111,f1157])).
% 0.13/0.40 fof(f1159,plain,(
% 0.13/0.40 $false|~sQ1_spl|~sQ48_spl|~sQ5_spl|~sQ4_spl|sQ89_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f1158])).
% 0.13/0.40 fof(f1160,plain,(
% 0.13/0.40 ~sQ1_spl|~sQ48_spl|~sQ5_spl|~sQ4_spl|sQ89_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1159])).
% 0.13/0.40 fof(f1167,plain,(
% 0.13/0.40 ~inverse(sk_c9)=inverse(sk_c9)|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ48_spl|sQ91_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1111,f1135])).
% 0.13/0.40 fof(f1168,plain,(
% 0.13/0.40 ~sk_c9=inverse(sk_c9)|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ48_spl|sQ91_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1111,f1167])).
% 0.13/0.40 fof(f1169,plain,(
% 0.13/0.40 ~sk_c9=sk_c9|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ48_spl|sQ91_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1111,f1168])).
% 0.13/0.40 fof(f1170,plain,(
% 0.13/0.40 $false|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ48_spl|sQ91_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f1169])).
% 0.13/0.40 fof(f1171,plain,(
% 0.13/0.40 ~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ48_spl|sQ91_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1170])).
% 0.13/0.40 fof(f1192,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c9|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1028,f105])).
% 0.13/0.40 fof(f1193,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c2|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1009,f1192])).
% 0.13/0.40 fof(f1195,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c3|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1018,f976])).
% 0.13/0.40 fof(f1196,plain,(
% 0.13/0.40 inverse(sk_c2)=sk_c2|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f984,f1195])).
% 0.13/0.40 fof(f1215,plain,(
% 0.13/0.40 ~inverse(sk_c2)=sk_c9|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ76_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1009,f908])).
% 0.13/0.40 fof(f1216,plain,(
% 0.13/0.40 ~sk_c2=sk_c9|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ76_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1196,f1215])).
% 0.13/0.40 fof(f1217,plain,(
% 0.13/0.40 ~sk_c2=sk_c2|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ76_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1009,f1216])).
% 0.13/0.40 fof(f1218,plain,(
% 0.13/0.40 $false|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ76_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f1217])).
% 0.13/0.40 fof(f1219,plain,(
% 0.13/0.40 ~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ76_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1218])).
% 0.13/0.40 fof(f1250,plain,(
% 0.13/0.40 ~sk_c2=sk_c2|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|sQ1_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1196,f1193])).
% 0.13/0.40 fof(f1251,plain,(
% 0.13/0.41 $false|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|sQ1_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f1250])).
% 0.13/0.41 fof(f1252,plain,(
% 0.13/0.41 ~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|sQ1_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f1251])).
% 0.13/0.41 fof(f1364,plain,(
% 0.13/0.41 ~multiply(sk_c2,sk_c9)=sk_c9|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl|sQ33_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f1009,f695])).
% 0.13/0.41 fof(f1365,plain,(
% 0.13/0.41 ~sk_c9=sk_c9|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl|sQ33_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f1016,f1364])).
% 0.13/0.41 fof(f1366,plain,(
% 0.13/0.41 ~sk_c2=sk_c9|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl|sQ33_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f1009,f1365])).
% 0.13/0.41 fof(f1367,plain,(
% 0.13/0.41 ~sk_c2=sk_c2|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl|sQ33_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f1009,f1366])).
% 0.13/0.41 fof(f1368,plain,(
% 0.13/0.41 $false|~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl|sQ33_spl),
% 0.13/0.41 inference(trivial_equality_resolution,[status(thm)],[f1367])).
% 0.13/0.41 fof(f1369,plain,(
% 0.13/0.41 ~sQ0_spl|~sQ10_spl|~sQ11_spl|~sQ12_spl|~sQ13_spl|sQ33_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f1368])).
% 0.13/0.41 fof(f1370,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(sat_refutation,[status(thm)],[f106,f110,f114,f118,f122,f142,f143,f144,f145,f146,f154,f155,f156,f157,f158,f166,f167,f168,f169,f170,f178,f179,f180,f181,f182,f196,f281,f292,f326,f346,f494,f498,f542,f558,f581,f586,f588,f877,f907,f936,f1038,f1054,f1136,f1156,f1160,f1171,f1219,f1252,f1369])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.082833 seconds
% 0.13/0.44 % CPU time: 0.308145 seconds
% 0.13/0.44 % Total memory used: 105.407 MB
% 0.13/0.44 % Net memory used: 105.275 MB
%------------------------------------------------------------------------------