%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP302-1 : 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 : n003.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 12:36:24 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP302-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n003.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 20:10:30 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f1,axiom,(
% 0.14/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f2,axiom,(
% 0.14/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f3,axiom,(
% 0.14/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f4,negated_conjecture,(
% 0.14/0.41 multiply(sk_c8,sk_c7) = sk_c6 ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f6,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f7,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f8,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c4 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f9,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f10,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c4 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f12,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f13,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f14,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c4 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f15,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f16,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c4 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f17,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| inverse(sk_c8) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f18,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f19,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f20,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| inverse(sk_c5) = sk_c4 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f21,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f22,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c8) = sk_c6| multiply(sk_c5,sk_c8) = sk_c4 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f23,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f27,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f29,negated_conjecture,(
% 0.14/0.41 (![X3,X4,X1,X2,X5]: (( multiply(sk_c8,sk_c7) != sk_c6| inverse(X3) != sk_c8| multiply(X3,sk_c7) != sk_c8| multiply(X4,sk_c8) != sk_c6| inverse(X4) != sk_c8| inverse(sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(X1,sk_c7) != sk_c8| inverse(X2) != X5| inverse(X5) != sk_c8| multiply(X2,sk_c8) != X5 ) ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f30,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.41 fof(f31,plain,(
% 0.14/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.41 fof(f32,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.41 fof(f33,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c7)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.41 fof(f35,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.41 fof(f36,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c7)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.41 fof(f37,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c4),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.41 fof(f38,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.41 fof(f39,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c4),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.41 fof(f41,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.41 fof(f42,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c3,sk_c7)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.41 fof(f43,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c4),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.41 fof(f44,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.41 fof(f45,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c4),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.41 fof(f46,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c6|inverse(sk_c8)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.41 fof(f47,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.41 fof(f48,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c3,sk_c7)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.41 fof(f49,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c6|inverse(sk_c5)=sk_c4),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.41 fof(f50,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.41 fof(f51,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c6|multiply(sk_c5,sk_c8)=sk_c4),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.41 fof(f52,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.41 fof(f56,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.41 fof(f58,plain,(
% 0.14/0.41 ![X2,X5]: ((((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c8,sk_c7)=sk_c6|~inverse(X3)=sk_c8)|~multiply(X3,sk_c7)=sk_c8))|~multiply(X4,sk_c8)=sk_c6)|~inverse(X4)=sk_c8))|~inverse(sk_c8)=sk_c7)|~inverse(X1)=sk_c8)|~multiply(X1,sk_c7)=sk_c8))|~inverse(X2)=X5)|~inverse(X5)=sk_c8)|~multiply(X2,sk_c8)=X5)),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f29])).
% 0.14/0.41 fof(f59,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (~multiply(sk_c8,sk_c7)=sk_c6|~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~multiply(X1,sk_c8)=sk_c6|~inverse(X1)=sk_c8|~inverse(sk_c8)=sk_c7|~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8|~inverse(X3)=X4|~inverse(X4)=sk_c8|~multiply(X3,sk_c8)=X4)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f58])).
% 0.14/0.41 fof(f60,definition,(
% 0.14/0.41 sQ0_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f61,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c8|~sQ0_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f60])).
% 0.14/0.41 fof(f63,definition,(
% 0.14/0.41 sQ1_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f64,plain,(
% 0.14/0.41 inverse(sk_c8)=sk_c7|~sQ1_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f63])).
% 0.14/0.41 fof(f67,definition,(
% 0.14/0.41 sQ2_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f70,plain,(
% 0.14/0.41 sQ0_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f35,f60,f67])).
% 0.14/0.41 fof(f71,definition,(
% 0.14/0.41 sQ3_spl <=> (multiply(sk_c3,sk_c7)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f72,plain,(
% 0.14/0.41 multiply(sk_c3,sk_c7)=sk_c8|~sQ3_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f71])).
% 0.14/0.41 fof(f74,plain,(
% 0.14/0.41 sQ0_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f36,f60,f71])).
% 0.14/0.41 fof(f75,definition,(
% 0.14/0.41 sQ4_spl <=> (inverse(sk_c5)=sk_c4)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f76,plain,(
% 0.14/0.41 inverse(sk_c5)=sk_c4|~sQ4_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f75])).
% 0.14/0.41 fof(f78,plain,(
% 0.14/0.41 sQ0_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f37,f60,f75])).
% 0.14/0.41 fof(f79,definition,(
% 0.14/0.41 sQ5_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f80,plain,(
% 0.14/0.41 inverse(sk_c4)=sk_c8|~sQ5_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f79])).
% 0.14/0.41 fof(f82,plain,(
% 0.14/0.41 sQ0_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f38,f60,f79])).
% 0.14/0.41 fof(f83,definition,(
% 0.14/0.41 sQ6_spl <=> (multiply(sk_c5,sk_c8)=sk_c4)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f84,plain,(
% 0.14/0.41 multiply(sk_c5,sk_c8)=sk_c4|~sQ6_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f83])).
% 0.14/0.41 fof(f86,plain,(
% 0.14/0.41 sQ0_spl|sQ6_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f39,f60,f83])).
% 0.14/0.41 fof(f87,definition,(
% 0.14/0.41 sQ7_spl <=> (multiply(sk_c1,sk_c7)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f88,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c8|~sQ7_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f87])).
% 0.14/0.41 fof(f91,plain,(
% 0.14/0.41 sQ7_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f41,f87,f67])).
% 0.14/0.41 fof(f92,plain,(
% 0.14/0.41 sQ7_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f42,f87,f71])).
% 0.14/0.41 fof(f93,plain,(
% 0.14/0.41 sQ7_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f43,f87,f75])).
% 0.14/0.41 fof(f94,plain,(
% 0.14/0.41 sQ7_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f44,f87,f79])).
% 0.14/0.41 fof(f95,plain,(
% 0.14/0.41 sQ7_spl|sQ6_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f45,f87,f83])).
% 0.14/0.41 fof(f96,definition,(
% 0.14/0.41 sQ8_spl <=> (multiply(sk_c2,sk_c8)=sk_c6)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f97,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=sk_c6|~sQ8_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f96])).
% 0.14/0.41 fof(f99,plain,(
% 0.14/0.41 sQ8_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f46,f96,f63])).
% 0.14/0.41 fof(f100,plain,(
% 0.14/0.41 sQ8_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f47,f96,f67])).
% 0.14/0.41 fof(f101,plain,(
% 0.14/0.41 sQ8_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f48,f96,f71])).
% 0.14/0.41 fof(f102,plain,(
% 0.14/0.41 sQ8_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f49,f96,f75])).
% 0.14/0.41 fof(f103,plain,(
% 0.14/0.41 sQ8_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f50,f96,f79])).
% 0.14/0.41 fof(f104,plain,(
% 0.14/0.41 sQ8_spl|sQ6_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f51,f96,f83])).
% 0.14/0.41 fof(f105,definition,(
% 0.14/0.41 sQ9_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f106,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c8|~sQ9_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f105])).
% 0.14/0.41 fof(f108,plain,(
% 0.14/0.41 sQ9_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f52,f105,f63])).
% 0.14/0.41 fof(f112,plain,(
% 0.14/0.41 sQ9_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f56,f105,f79])).
% 0.14/0.41 fof(f114,definition,(
% 0.14/0.41 sQ10_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f116,plain,(
% 0.14/0.41 ~multiply(sk_c8,sk_c7)=sk_c6|sQ10_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f114])).
% 0.14/0.41 fof(f117,definition,(
% 0.14/0.41 ![X0]: (sQ11_spl <=> (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f118,plain,(
% 0.14/0.41 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ11_spl)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f117])).
% 0.14/0.41 fof(f120,definition,(
% 0.14/0.41 ![X1]: (sQ12_spl <=> (~multiply(X1,sk_c8)=sk_c6|~inverse(X1)=sk_c8))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f121,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f120])).
% 0.14/0.41 fof(f123,definition,(
% 0.14/0.41 ![X3,X4]: (sQ13_spl <=> (~inverse(X3)=X4|~inverse(X4)=sk_c8|~multiply(X3,sk_c8)=X4))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f124,plain,(
% 0.14/0.41 ![X0,X1]: (~inverse(X0)=X1|~inverse(X1)=sk_c8|~multiply(X0,sk_c8)=X1|~sQ13_spl)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f123])).
% 0.14/0.41 fof(f126,plain,(
% 0.14/0.41 ~sQ10_spl|sQ11_spl|sQ12_spl|~sQ1_spl|sQ13_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f59,f114,f117,f120,f63,f123])).
% 0.14/0.41 fof(f127,plain,(
% 0.14/0.41 ![X0]: (~inverse(inverse(X0))=sk_c8|~multiply(X0,sk_c8)=inverse(X0)|~sQ13_spl)),
% 0.14/0.41 inference(destructive_equality_resolution,[status(thm)],[f124])).
% 0.14/0.41 fof(f129,plain,(
% 0.14/0.41 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c2,multiply(sk_c8,X0))|~sQ8_spl)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f97,f32])).
% 0.14/0.41 fof(f130,plain,(
% 0.14/0.41 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c8,multiply(sk_c7,X0)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f33,f32])).
% 0.14/0.41 fof(f138,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c4)=identity|~sQ5_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f80,f31])).
% 0.14/0.41 fof(f139,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c1)=identity|~sQ0_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f61,f31])).
% 0.14/0.41 fof(f140,plain,(
% 0.14/0.41 multiply(sk_c8,sk_c2)=identity|~sQ9_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f106,f31])).
% 0.14/0.41 fof(f141,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.14/0.41 fof(f142,plain,(
% 0.14/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f30,f141])).
% 0.14/0.41 fof(f145,plain,(
% 0.14/0.41 ~inverse(sk_c4)=sk_c8|~multiply(sk_c5,sk_c8)=inverse(sk_c5)|~sQ13_spl|~sQ4_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f76,f127])).
% 0.14/0.41 fof(f156,definition,(
% 0.14/0.41 sQ16_spl <=> (multiply(sk_c5,sk_c8)=inverse(sk_c5))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f158,plain,(
% 0.14/0.41 ~multiply(sk_c5,sk_c8)=inverse(sk_c5)|sQ16_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f156])).
% 0.14/0.41 fof(f159,plain,(
% 0.14/0.41 ~sQ5_spl|~sQ16_spl|~sQ13_spl|~sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f145,f79,f156,f123,f75])).
% 0.14/0.41 fof(f175,plain,(
% 0.14/0.41 ~sk_c4=inverse(sk_c5)|~sQ6_spl|sQ16_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f84,f158])).
% 0.14/0.41 fof(f176,plain,(
% 0.14/0.41 ~inverse(sk_c2)=sk_c8|~sQ12_spl|~sQ8_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f121,f97])).
% 0.14/0.41 fof(f177,plain,(
% 0.14/0.41 ~identity=sk_c6|~inverse(inverse(sk_c8))=sk_c8|~sQ12_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f31,f121])).
% 0.14/0.41 fof(f180,plain,(
% 0.14/0.41 ![X0,X1]: (~multiply(X0,multiply(X1,sk_c8))=sk_c6|~inverse(multiply(X0,X1))=sk_c8|~sQ12_spl)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f32,f121])).
% 0.14/0.41 fof(f182,plain,(
% 0.14/0.41 ~sk_c8=sk_c8|~sQ9_spl|~sQ12_spl|~sQ8_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f106,f176])).
% 0.14/0.41 fof(f183,plain,(
% 0.14/0.41 $false|~sQ9_spl|~sQ12_spl|~sQ8_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f182])).
% 0.14/0.41 fof(f184,plain,(
% 0.14/0.41 ~sQ9_spl|~sQ12_spl|~sQ8_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f183])).
% 0.14/0.41 fof(f188,plain,(
% 0.14/0.41 ~inverse(sk_c3)=sk_c8|~sk_c8=sk_c8|~sQ11_spl|~sQ3_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f72,f118])).
% 0.14/0.41 fof(f191,plain,(
% 0.14/0.41 ~inverse(sk_c1)=sk_c8|~sk_c8=sk_c8|~sQ11_spl|~sQ7_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f88,f118])).
% 0.14/0.41 fof(f194,definition,(
% 0.14/0.41 sQ20_spl <=> (sk_c8=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f196,plain,(
% 0.14/0.41 ~sk_c8=sk_c8|sQ20_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f194])).
% 0.14/0.41 fof(f197,plain,(
% 0.14/0.41 ~sQ2_spl|~sQ20_spl|~sQ11_spl|~sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f188,f67,f194,f117,f71])).
% 0.14/0.41 fof(f212,plain,(
% 0.14/0.41 ~sQ0_spl|~sQ20_spl|~sQ11_spl|~sQ7_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f191,f60,f194,f117,f87])).
% 0.14/0.41 fof(f217,plain,(
% 0.14/0.41 ~sk_c6=sk_c6|sQ10_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f33,f116])).
% 0.14/0.41 fof(f218,plain,(
% 0.14/0.41 $false|sQ10_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f217])).
% 0.14/0.41 fof(f219,plain,(
% 0.14/0.41 sQ10_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f218])).
% 0.14/0.41 fof(f220,plain,(
% 0.14/0.41 $false|sQ20_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f196])).
% 0.14/0.41 fof(f221,plain,(
% 0.14/0.41 sQ20_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f220])).
% 0.14/0.41 fof(f222,definition,(
% 0.14/0.41 sQ26_spl <=> (identity=sk_c6)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f223,plain,(
% 0.14/0.41 identity=sk_c6|~sQ26_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f222])).
% 0.14/0.41 fof(f224,plain,(
% 0.14/0.41 ~identity=sk_c6|sQ26_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f222])).
% 0.14/0.41 fof(f225,definition,(
% 0.14/0.41 sQ27_spl <=> (inverse(inverse(sk_c8))=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f228,plain,(
% 0.14/0.41 ~sQ26_spl|~sQ27_spl|~sQ12_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f177,f222,f225,f120])).
% 0.14/0.41 fof(f237,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c8)=identity|~sQ1_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f64,f31])).
% 0.14/0.41 fof(f257,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c2,X0))|~sQ9_spl)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f140,f32])).
% 0.14/0.41 fof(f258,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c8,multiply(sk_c2,X0))|~sQ9_spl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f30,f257])).
% 0.14/0.41 fof(f272,plain,(
% 0.14/0.41 ~identity=sk_c6|~inverse(sk_c7)=sk_c8|~sQ12_spl|~sQ1_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f237,f121])).
% 0.14/0.41 fof(f274,definition,(
% 0.14/0.41 sQ30_spl <=> (inverse(sk_c7)=sk_c8)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f276,plain,(
% 0.14/0.41 ~inverse(sk_c7)=sk_c8|sQ30_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f274])).
% 0.14/0.41 fof(f277,plain,(
% 0.14/0.41 ~sQ26_spl|~sQ30_spl|~sQ12_spl|~sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f272,f222,f274,f120,f63])).
% 0.14/0.41 fof(f288,plain,(
% 0.14/0.41 ![X0]: (~identity=sk_c6|~inverse(multiply(inverse(multiply(X0,sk_c8)),X0))=sk_c8|~sQ12_spl)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f31,f180])).
% 0.14/0.41 fof(f307,definition,(
% 0.14/0.41 ![X0]: (sQ33_spl <=> (~inverse(multiply(inverse(multiply(X0,sk_c8)),X0))=sk_c8))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f310,plain,(
% 0.14/0.41 ~sQ26_spl|sQ33_spl|~sQ12_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f288,f222,f307,f120])).
% 0.14/0.41 fof(f337,plain,(
% 0.14/0.41 ~sk_c4=sk_c4|~sQ4_spl|~sQ6_spl|sQ16_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f76,f175])).
% 0.14/0.41 fof(f338,plain,(
% 0.14/0.41 $false|~sQ4_spl|~sQ6_spl|sQ16_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f337])).
% 0.14/0.41 fof(f339,plain,(
% 0.14/0.41 ~sQ4_spl|~sQ6_spl|sQ16_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f338])).
% 0.14/0.41 fof(f346,plain,(
% 0.14/0.41 sk_c8=multiply(sk_c8,sk_c6)|~sQ9_spl|~sQ8_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f97,f258])).
% 0.14/0.41 fof(f351,plain,(
% 0.14/0.41 ~inverse(sk_c7)=sk_c8|~multiply(sk_c8,sk_c8)=inverse(sk_c8)|~sQ13_spl|~sQ1_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f64,f127])).
% 0.14/0.41 fof(f355,definition,(
% 0.14/0.41 sQ40_spl <=> (multiply(sk_c8,sk_c8)=inverse(sk_c8))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f357,plain,(
% 0.14/0.41 ~multiply(sk_c8,sk_c8)=inverse(sk_c8)|sQ40_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f355])).
% 0.14/0.41 fof(f358,plain,(
% 0.14/0.41 ~sQ30_spl|~sQ40_spl|~sQ13_spl|~sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f351,f274,f355,f123,f63])).
% 0.14/0.41 fof(f361,plain,(
% 0.14/0.41 multiply(sk_c6,sk_c2)=multiply(sk_c2,identity)|~sQ8_spl|~sQ9_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f140,f129])).
% 0.14/0.41 fof(f364,plain,(
% 0.14/0.41 multiply(sk_c6,sk_c7)=multiply(sk_c2,sk_c6)|~sQ8_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f33,f129])).
% 0.14/0.41 fof(f369,plain,(
% 0.14/0.41 multiply(sk_c6,sk_c1)=multiply(sk_c2,identity)|~sQ8_spl|~sQ0_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f139,f129])).
% 0.14/0.41 fof(f370,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c1,X0))|~sQ0_spl)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f139,f32])).
% 0.14/0.41 fof(f371,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c8,multiply(sk_c1,X0))|~sQ0_spl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f30,f370])).
% 0.14/0.41 fof(f395,plain,(
% 0.14/0.41 multiply(sk_c6,sk_c2)=multiply(sk_c6,sk_c1)|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f369,f361])).
% 0.14/0.41 fof(f401,plain,(
% 0.14/0.41 sk_c7=multiply(sk_c8,sk_c8)|~sQ0_spl|~sQ7_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f88,f371])).
% 0.14/0.41 fof(f409,plain,(
% 0.14/0.41 multiply(sk_c6,sk_c6)=multiply(sk_c2,sk_c8)|~sQ9_spl|~sQ8_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f346,f129])).
% 0.14/0.41 fof(f411,plain,(
% 0.14/0.41 multiply(sk_c6,sk_c6)=sk_c6|~sQ9_spl|~sQ8_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f97,f409])).
% 0.14/0.41 fof(f435,plain,(
% 0.14/0.41 ~sk_c7=inverse(sk_c8)|~sQ0_spl|~sQ7_spl|sQ40_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f401,f357])).
% 0.14/0.41 fof(f447,plain,(
% 0.14/0.41 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ9_spl|~sQ8_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f411,f142])).
% 0.14/0.41 fof(f449,plain,(
% 0.14/0.41 sk_c2=multiply(inverse(sk_c6),multiply(sk_c6,sk_c1))|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f395,f142])).
% 0.14/0.41 fof(f461,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f142,f142])).
% 0.14/0.41 fof(f462,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f31,f142])).
% 0.14/0.41 fof(f472,plain,(
% 0.14/0.41 ![X0]: (multiply(sk_c7,X0)=multiply(inverse(sk_c8),multiply(sk_c6,X0)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f130,f142])).
% 0.14/0.41 fof(f473,plain,(
% 0.14/0.41 sk_c7=multiply(inverse(sk_c8),sk_c6)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f33,f142])).
% 0.14/0.41 fof(f475,plain,(
% 0.14/0.41 sk_c6=identity|~sQ9_spl|~sQ8_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f31,f447])).
% 0.14/0.41 fof(f476,plain,(
% 0.14/0.41 $false|sQ26_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f475,f224])).
% 0.14/0.41 fof(f477,plain,(
% 0.14/0.41 sQ26_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f476])).
% 0.14/0.41 fof(f478,plain,(
% 0.14/0.41 sk_c2=sk_c1|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f142,f449])).
% 0.14/0.41 fof(f499,plain,(
% 0.14/0.41 multiply(identity,sk_c1)=multiply(sk_c2,identity)|~sQ26_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f223,f369])).
% 0.14/0.41 fof(f500,plain,(
% 0.14/0.41 multiply(sk_c6,sk_c7)=multiply(sk_c2,identity)|~sQ26_spl|~sQ8_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f223,f364])).
% 0.14/0.41 fof(f508,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c8)=identity|~sQ26_spl|~sQ8_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f223,f97])).
% 0.14/0.41 fof(f516,plain,(
% 0.14/0.41 sk_c1=multiply(sk_c2,identity)|~sQ26_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f30,f499])).
% 0.14/0.41 fof(f517,plain,(
% 0.14/0.41 multiply(identity,sk_c7)=multiply(sk_c2,identity)|~sQ26_spl|~sQ8_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f223,f500])).
% 0.14/0.41 fof(f518,plain,(
% 0.14/0.41 sk_c7=multiply(sk_c2,identity)|~sQ26_spl|~sQ8_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f30,f517])).
% 0.14/0.41 fof(f613,plain,(
% 0.14/0.41 sk_c1=multiply(sk_c1,identity)|~sQ9_spl|~sQ26_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f478,f516])).
% 0.14/0.41 fof(f617,plain,(
% 0.14/0.41 sk_c1=sk_c7|~sQ9_spl|~sQ26_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f618,f613])).
% 0.14/0.41 fof(f618,plain,(
% 0.14/0.41 sk_c7=multiply(sk_c1,identity)|~sQ0_spl|~sQ9_spl|~sQ26_spl|~sQ8_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f478,f518])).
% 0.14/0.41 fof(f632,plain,(
% 0.14/0.41 inverse(sk_c7)=sk_c8|~sQ9_spl|~sQ26_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f617,f61])).
% 0.14/0.41 fof(f633,plain,(
% 0.14/0.41 $false|sQ30_spl|~sQ9_spl|~sQ26_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f632,f276])).
% 0.14/0.41 fof(f634,plain,(
% 0.14/0.41 sQ30_spl|~sQ9_spl|~sQ26_spl|~sQ8_spl|~sQ0_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f633])).
% 0.14/0.41 fof(f707,plain,(
% 0.14/0.41 sk_c4=multiply(inverse(sk_c8),identity)|~sQ5_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f138,f142])).
% 0.14/0.41 fof(f709,plain,(
% 0.14/0.41 sk_c4=multiply(sk_c7,identity)|~sQ1_spl|~sQ5_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f64,f707])).
% 0.14/0.41 fof(f753,plain,(
% 0.14/0.41 sk_c7=multiply(sk_c7,sk_c6)|~sQ1_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f64,f473])).
% 0.14/0.41 fof(f756,plain,(
% 0.14/0.41 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ1_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f753,f142])).
% 0.14/0.41 fof(f760,plain,(
% 0.14/0.41 sk_c6=identity|~sQ1_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f31,f756])).
% 0.14/0.42 fof(f761,plain,(
% 0.14/0.42 $false|sQ26_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f760,f224])).
% 0.14/0.42 fof(f762,plain,(
% 0.14/0.42 sQ26_spl|~sQ1_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f761])).
% 0.14/0.42 fof(f801,plain,(
% 0.14/0.42 identity=sk_c6|~sQ26_spl|~sQ8_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f508,f97])).
% 0.14/0.42 fof(f858,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c7,X0)=multiply(inverse(sk_c8),multiply(identity,X0))|~sQ26_spl|~sQ8_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f801,f472])).
% 0.14/0.42 fof(f859,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c7,X0)=multiply(inverse(sk_c8),X0)|~sQ26_spl|~sQ8_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f30,f858])).
% 0.14/0.42 fof(f986,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(X0,identity))),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f461,f462])).
% 0.14/0.42 fof(f989,plain,(
% 0.14/0.42 inverse(sk_c8)=multiply(sk_c7,identity)|~sQ26_spl|~sQ8_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f859,f986])).
% 0.14/0.42 fof(f1007,plain,(
% 0.14/0.42 inverse(sk_c8)=sk_c7|~sQ26_spl|~sQ8_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f986,f989])).
% 0.14/0.42 fof(f1008,plain,(
% 0.14/0.42 $false|~sQ0_spl|~sQ7_spl|sQ40_spl|~sQ26_spl|~sQ8_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1007,f435])).
% 0.14/0.42 fof(f1009,plain,(
% 0.14/0.42 ~sQ0_spl|~sQ7_spl|sQ40_spl|~sQ26_spl|~sQ8_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1008])).
% 0.14/0.42 fof(f1014,plain,(
% 0.14/0.42 sQ1_spl|~sQ26_spl|~sQ8_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f1007,f63,f222,f96])).
% 0.14/0.42 fof(f1032,plain,(
% 0.14/0.42 sk_c4=sk_c7|~sQ1_spl|~sQ5_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f986,f709])).
% 0.14/0.42 fof(f1096,plain,(
% 0.14/0.42 inverse(sk_c7)=sk_c8|~sQ1_spl|~sQ5_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f1032,f80])).
% 0.14/0.42 fof(f1097,plain,(
% 0.14/0.42 sQ30_spl|~sQ1_spl|~sQ5_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f1096,f274,f63,f79])).
% 0.14/0.42 fof(f1098,plain,(
% 0.14/0.42 $false),
% 0.14/0.42 inference(sat_refutation,[status(thm)],[f70,f74,f78,f82,f86,f91,f92,f93,f94,f95,f99,f100,f101,f102,f103,f104,f108,f112,f126,f159,f184,f197,f212,f219,f221,f228,f277,f310,f339,f358,f477,f634,f762,f1009,f1014,f1097])).
% 0.14/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.45 % Elapsed time: 0.063653 seconds
% 0.14/0.45 % CPU time: 0.213502 seconds
% 0.14/0.45 % Total memory used: 104.104 MB
% 0.14/0.45 % Net memory used: 103.844 MB
%------------------------------------------------------------------------------