%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP304-1 : 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 : 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 12:36:25 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP304-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:13:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f1,axiom,(
% 0.09/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f2,axiom,(
% 0.09/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f3,axiom,(
% 0.09/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f4,negated_conjecture,(
% 0.09/0.39 multiply(sk_c7,sk_c6) = sk_c5 ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f5,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c6,sk_c7) = sk_c5| multiply(sk_c2,sk_c7) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f6,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c6,sk_c7) = sk_c5| inverse(sk_c2) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f7,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c6,sk_c7) = sk_c5| multiply(sk_c7,sk_c4) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f8,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c6,sk_c7) = sk_c5| multiply(sk_c3,sk_c7) = sk_c4 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f9,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c6,sk_c7) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f10,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c7) = sk_c5| multiply(sk_c2,sk_c7) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f11,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c7) = sk_c5| inverse(sk_c2) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f12,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c7) = sk_c5| multiply(sk_c7,sk_c4) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f13,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c7) = sk_c5| multiply(sk_c3,sk_c7) = sk_c4 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f14,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c7) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f15,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c2,sk_c7) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f16,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c2) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f17,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c7,sk_c4) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f18,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c3,sk_c7) = sk_c4 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f19,negated_conjecture,(
% 0.09/0.39 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f20,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c1) = sk_c6| multiply(sk_c2,sk_c7) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f21,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c1) = sk_c6| inverse(sk_c2) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f22,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c1) = sk_c6| multiply(sk_c7,sk_c4) = sk_c6 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f23,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c1) = sk_c6| multiply(sk_c3,sk_c7) = sk_c4 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f24,negated_conjecture,(
% 0.09/0.39 ( inverse(sk_c1) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f25,negated_conjecture,(
% 0.09/0.39 (![X2,X1,X3,X4]: (( multiply(sk_c7,sk_c6) != sk_c5| multiply(sk_c6,sk_c7) != sk_c5| inverse(sk_c7) != sk_c5| multiply(X2,sk_c6) != sk_c7| inverse(X2) != sk_c6| multiply(X1,sk_c7) != sk_c6| inverse(X1) != sk_c7| multiply(sk_c7,X3) != sk_c6| multiply(X4,sk_c7) != X3| inverse(X4) != sk_c7 ) ))),
% 0.09/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f26,plain,(
% 0.09/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.39 fof(f27,plain,(
% 0.09/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.39 fof(f28,plain,(
% 0.09/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.39 fof(f29,plain,(
% 0.09/0.39 multiply(sk_c7,sk_c6)=sk_c5),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.39 fof(f30,plain,(
% 0.09/0.39 multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c2,sk_c7)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.39 fof(f31,plain,(
% 0.09/0.39 multiply(sk_c6,sk_c7)=sk_c5|inverse(sk_c2)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.39 fof(f32,plain,(
% 0.09/0.39 multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c7,sk_c4)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.39 fof(f33,plain,(
% 0.09/0.39 multiply(sk_c6,sk_c7)=sk_c5|multiply(sk_c3,sk_c7)=sk_c4),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.39 fof(f34,plain,(
% 0.09/0.39 multiply(sk_c6,sk_c7)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.39 fof(f35,plain,(
% 0.09/0.39 inverse(sk_c7)=sk_c5|multiply(sk_c2,sk_c7)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.39 fof(f36,plain,(
% 0.09/0.39 inverse(sk_c7)=sk_c5|inverse(sk_c2)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.39 fof(f37,plain,(
% 0.09/0.39 inverse(sk_c7)=sk_c5|multiply(sk_c7,sk_c4)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.39 fof(f38,plain,(
% 0.09/0.39 inverse(sk_c7)=sk_c5|multiply(sk_c3,sk_c7)=sk_c4),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.39 fof(f39,plain,(
% 0.09/0.39 inverse(sk_c7)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.39 fof(f40,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c2,sk_c7)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.39 fof(f41,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c2)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.39 fof(f42,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c7,sk_c4)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.39 fof(f43,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c3,sk_c7)=sk_c4),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.39 fof(f44,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.39 fof(f45,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c6|multiply(sk_c2,sk_c7)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.39 fof(f46,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c6|inverse(sk_c2)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/0.39 fof(f47,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c6|multiply(sk_c7,sk_c4)=sk_c6),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.39 fof(f48,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c6|multiply(sk_c3,sk_c7)=sk_c4),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.39 fof(f49,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.39 fof(f50,plain,(
% 0.09/0.39 ![X4]: ((![X3]: (((![X1]: (((![X2]: ((((~multiply(sk_c7,sk_c6)=sk_c5|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(sk_c7)=sk_c5)|~multiply(X2,sk_c6)=sk_c7)|~inverse(X2)=sk_c6))|~multiply(X1,sk_c7)=sk_c6)|~inverse(X1)=sk_c7))|~multiply(sk_c7,X3)=sk_c6)|~multiply(X4,sk_c7)=X3))|~inverse(X4)=sk_c7)),
% 0.09/0.39 inference(miniscoping,[status(thm)],[f25])).
% 0.09/0.39 fof(f51,plain,(
% 0.09/0.39 ![X0,X1,X2,X3]: (~multiply(sk_c7,sk_c6)=sk_c5|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(sk_c7)=sk_c5|~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7|~multiply(sk_c7,X2)=sk_c6|~multiply(X3,sk_c7)=X2|~inverse(X3)=sk_c7)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.39 fof(f52,definition,(
% 0.09/0.39 sQ0_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f53,plain,(
% 0.09/0.39 multiply(sk_c6,sk_c7)=sk_c5|~sQ0_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f52])).
% 0.09/0.39 fof(f54,plain,(
% 0.09/0.39 ~multiply(sk_c6,sk_c7)=sk_c5|sQ0_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f52])).
% 0.09/0.39 fof(f55,definition,(
% 0.09/0.39 sQ1_spl <=> (multiply(sk_c2,sk_c7)=sk_c6)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f56,plain,(
% 0.09/0.39 multiply(sk_c2,sk_c7)=sk_c6|~sQ1_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f55])).
% 0.09/0.39 fof(f58,plain,(
% 0.09/0.39 sQ0_spl|sQ1_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f30,f52,f55])).
% 0.09/0.39 fof(f59,definition,(
% 0.09/0.39 sQ2_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f60,plain,(
% 0.09/0.39 inverse(sk_c2)=sk_c7|~sQ2_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f59])).
% 0.09/0.39 fof(f62,plain,(
% 0.09/0.39 sQ0_spl|sQ2_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f31,f52,f59])).
% 0.09/0.39 fof(f63,definition,(
% 0.09/0.39 sQ3_spl <=> (multiply(sk_c7,sk_c4)=sk_c6)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f64,plain,(
% 0.09/0.39 multiply(sk_c7,sk_c4)=sk_c6|~sQ3_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f63])).
% 0.09/0.39 fof(f66,plain,(
% 0.09/0.39 sQ0_spl|sQ3_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f32,f52,f63])).
% 0.09/0.39 fof(f67,definition,(
% 0.09/0.39 sQ4_spl <=> (multiply(sk_c3,sk_c7)=sk_c4)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f68,plain,(
% 0.09/0.39 multiply(sk_c3,sk_c7)=sk_c4|~sQ4_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f67])).
% 0.09/0.39 fof(f70,plain,(
% 0.09/0.39 sQ0_spl|sQ4_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f33,f52,f67])).
% 0.09/0.39 fof(f71,definition,(
% 0.09/0.39 sQ5_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f72,plain,(
% 0.09/0.39 inverse(sk_c3)=sk_c7|~sQ5_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f71])).
% 0.09/0.39 fof(f74,plain,(
% 0.09/0.39 sQ0_spl|sQ5_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f34,f52,f71])).
% 0.09/0.39 fof(f75,definition,(
% 0.09/0.39 sQ6_spl <=> (inverse(sk_c7)=sk_c5)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f76,plain,(
% 0.09/0.39 inverse(sk_c7)=sk_c5|~sQ6_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f75])).
% 0.09/0.39 fof(f77,plain,(
% 0.09/0.39 ~inverse(sk_c7)=sk_c5|sQ6_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f75])).
% 0.09/0.39 fof(f78,plain,(
% 0.09/0.39 sQ6_spl|sQ1_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f35,f75,f55])).
% 0.09/0.39 fof(f79,plain,(
% 0.09/0.39 sQ6_spl|sQ2_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f36,f75,f59])).
% 0.09/0.39 fof(f80,plain,(
% 0.09/0.39 sQ6_spl|sQ3_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f37,f75,f63])).
% 0.09/0.39 fof(f81,plain,(
% 0.09/0.39 sQ6_spl|sQ4_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f38,f75,f67])).
% 0.09/0.39 fof(f82,plain,(
% 0.09/0.39 sQ6_spl|sQ5_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f39,f75,f71])).
% 0.09/0.39 fof(f83,definition,(
% 0.09/0.39 sQ7_spl <=> (multiply(sk_c1,sk_c6)=sk_c7)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f84,plain,(
% 0.09/0.39 multiply(sk_c1,sk_c6)=sk_c7|~sQ7_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f83])).
% 0.09/0.39 fof(f86,plain,(
% 0.09/0.39 sQ7_spl|sQ1_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f40,f83,f55])).
% 0.09/0.39 fof(f87,plain,(
% 0.09/0.39 sQ7_spl|sQ2_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f41,f83,f59])).
% 0.09/0.39 fof(f88,plain,(
% 0.09/0.39 sQ7_spl|sQ3_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f42,f83,f63])).
% 0.09/0.39 fof(f89,plain,(
% 0.09/0.39 sQ7_spl|sQ4_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f43,f83,f67])).
% 0.09/0.39 fof(f90,plain,(
% 0.09/0.39 sQ7_spl|sQ5_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f44,f83,f71])).
% 0.09/0.39 fof(f91,definition,(
% 0.09/0.39 sQ8_spl <=> (inverse(sk_c1)=sk_c6)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f92,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c6|~sQ8_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f91])).
% 0.09/0.39 fof(f94,plain,(
% 0.09/0.39 sQ8_spl|sQ1_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f45,f91,f55])).
% 0.09/0.39 fof(f95,plain,(
% 0.09/0.39 sQ8_spl|sQ2_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f46,f91,f59])).
% 0.09/0.39 fof(f96,plain,(
% 0.09/0.39 sQ8_spl|sQ3_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f47,f91,f63])).
% 0.09/0.39 fof(f97,plain,(
% 0.09/0.39 sQ8_spl|sQ4_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f48,f91,f67])).
% 0.09/0.39 fof(f98,plain,(
% 0.09/0.39 sQ8_spl|sQ5_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f49,f91,f71])).
% 0.09/0.39 fof(f99,definition,(
% 0.09/0.39 sQ9_spl <=> (multiply(sk_c7,sk_c6)=sk_c5)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f101,plain,(
% 0.09/0.39 ~multiply(sk_c7,sk_c6)=sk_c5|sQ9_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f99])).
% 0.09/0.39 fof(f102,definition,(
% 0.09/0.39 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f103,plain,(
% 0.09/0.39 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ10_spl)),
% 0.09/0.39 inference(component_clause,[status(thm)],[f102])).
% 0.09/0.39 fof(f105,definition,(
% 0.09/0.39 ![X1]: (sQ11_spl <=> (~multiply(X1,sk_c7)=sk_c6|~inverse(X1)=sk_c7))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f106,plain,(
% 0.09/0.39 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.09/0.39 inference(component_clause,[status(thm)],[f105])).
% 0.09/0.39 fof(f108,definition,(
% 0.09/0.39 ![X2,X3]: (sQ12_spl <=> (~multiply(sk_c7,X2)=sk_c6|~multiply(X3,sk_c7)=X2|~inverse(X3)=sk_c7))),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f109,plain,(
% 0.09/0.39 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~sQ12_spl)),
% 0.09/0.39 inference(component_clause,[status(thm)],[f108])).
% 0.09/0.39 fof(f111,plain,(
% 0.09/0.39 ~sQ9_spl|~sQ0_spl|~sQ6_spl|sQ10_spl|sQ11_spl|sQ12_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f51,f99,f52,f75,f102,f105,f108])).
% 0.09/0.39 fof(f112,plain,(
% 0.09/0.39 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~sQ12_spl)),
% 0.09/0.39 inference(destructive_equality_resolution,[status(thm)],[f109])).
% 0.09/0.39 fof(f114,plain,(
% 0.09/0.39 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~sQ0_spl)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f53,f28])).
% 0.09/0.39 fof(f139,plain,(
% 0.09/0.39 ~multiply(sk_c7,sk_c5)=sk_c6|~inverse(sk_c6)=sk_c7|~sQ12_spl|~sQ0_spl),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f53,f112])).
% 0.09/0.39 fof(f140,plain,(
% 0.09/0.39 ~multiply(sk_c7,sk_c6)=sk_c6|~inverse(sk_c2)=sk_c7|~sQ12_spl|~sQ1_spl),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f56,f112])).
% 0.09/0.39 fof(f141,plain,(
% 0.09/0.39 ~multiply(sk_c7,sk_c4)=sk_c6|~inverse(sk_c3)=sk_c7|~sQ12_spl|~sQ4_spl),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f68,f112])).
% 0.09/0.39 fof(f142,definition,(
% 0.09/0.39 sQ13_spl <=> (multiply(sk_c7,sk_c5)=sk_c6)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f144,plain,(
% 0.09/0.39 ~multiply(sk_c7,sk_c5)=sk_c6|sQ13_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f142])).
% 0.09/0.39 fof(f145,definition,(
% 0.09/0.39 sQ14_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f147,plain,(
% 0.09/0.39 ~inverse(sk_c6)=sk_c7|sQ14_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f145])).
% 0.09/0.39 fof(f148,plain,(
% 0.09/0.39 ~sQ13_spl|~sQ14_spl|~sQ12_spl|~sQ0_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f139,f142,f145,f108,f52])).
% 0.09/0.39 fof(f149,definition,(
% 0.09/0.39 sQ15_spl <=> (multiply(sk_c7,sk_c6)=sk_c6)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f151,plain,(
% 0.09/0.39 ~multiply(sk_c7,sk_c6)=sk_c6|sQ15_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f149])).
% 0.09/0.39 fof(f152,plain,(
% 0.09/0.39 ~sQ15_spl|~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f140,f149,f59,f108,f55])).
% 0.09/0.39 fof(f153,plain,(
% 0.09/0.39 ~sQ3_spl|~sQ5_spl|~sQ12_spl|~sQ4_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f141,f63,f71,f108,f67])).
% 0.09/0.39 fof(f154,plain,(
% 0.09/0.39 ~sk_c5=sk_c6|sQ15_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f29,f151])).
% 0.09/0.39 fof(f155,plain,(
% 0.09/0.39 ~sk_c5=sk_c5|sQ9_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f29,f101])).
% 0.09/0.39 fof(f156,plain,(
% 0.09/0.39 $false|sQ9_spl),
% 0.09/0.39 inference(trivial_equality_resolution,[status(thm)],[f155])).
% 0.09/0.39 fof(f157,plain,(
% 0.09/0.39 sQ9_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f156])).
% 0.09/0.39 fof(f159,plain,(
% 0.09/0.39 ~sk_c5=sk_c6|~inverse(sk_c6)=sk_c7|~sQ11_spl|~sQ0_spl),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f53,f106])).
% 0.09/0.39 fof(f160,plain,(
% 0.09/0.39 ~sk_c4=sk_c6|~inverse(sk_c3)=sk_c7|~sQ11_spl|~sQ4_spl),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f68,f106])).
% 0.09/0.39 fof(f161,definition,(
% 0.09/0.39 sQ16_spl <=> (sk_c5=sk_c6)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f163,plain,(
% 0.09/0.39 ~sk_c5=sk_c6|sQ16_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f161])).
% 0.09/0.39 fof(f164,plain,(
% 0.09/0.39 ~sQ16_spl|~sQ14_spl|~sQ11_spl|~sQ0_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f159,f161,f145,f105,f52])).
% 0.09/0.39 fof(f165,definition,(
% 0.09/0.39 sQ17_spl <=> (sk_c4=sk_c6)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f166,plain,(
% 0.09/0.39 sk_c4=sk_c6|~sQ17_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f165])).
% 0.09/0.39 fof(f167,plain,(
% 0.09/0.39 ~sk_c4=sk_c6|sQ17_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f165])).
% 0.09/0.39 fof(f168,plain,(
% 0.09/0.39 ~sQ17_spl|~sQ5_spl|~sQ11_spl|~sQ4_spl),
% 0.09/0.39 inference(split_clause,[status(thm)],[f160,f165,f71,f105,f67])).
% 0.09/0.39 fof(f170,plain,(
% 0.09/0.39 multiply(sk_c7,sk_c2)=identity|~sQ2_spl),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f60,f27])).
% 0.09/0.39 fof(f173,plain,(
% 0.09/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f27,f28])).
% 0.09/0.39 fof(f174,plain,(
% 0.09/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f26,f173])).
% 0.09/0.39 fof(f178,plain,(
% 0.09/0.39 multiply(sk_c5,sk_c2)=multiply(sk_c6,identity)|~sQ0_spl|~sQ2_spl),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f170,f114])).
% 0.09/0.39 fof(f189,plain,(
% 0.09/0.39 sk_c7=multiply(inverse(sk_c2),sk_c6)|~sQ1_spl),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f56,f174])).
% 0.09/0.39 fof(f198,plain,(
% 0.09/0.39 sk_c6=multiply(inverse(sk_c1),sk_c7)|~sQ7_spl),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f84,f174])).
% 0.09/0.39 fof(f200,plain,(
% 0.09/0.39 sk_c4=multiply(inverse(sk_c7),sk_c6)|~sQ3_spl),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f64,f174])).
% 0.09/0.39 fof(f201,plain,(
% 0.09/0.39 sk_c6=multiply(inverse(sk_c7),sk_c5)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f29,f174])).
% 0.09/0.39 fof(f203,plain,(
% 0.09/0.39 sk_c7=multiply(sk_c7,sk_c6)|~sQ2_spl|~sQ1_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f60,f189])).
% 0.09/0.39 fof(f204,plain,(
% 0.09/0.39 sk_c7=sk_c5|~sQ2_spl|~sQ1_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f29,f203])).
% 0.09/0.39 fof(f205,plain,(
% 0.09/0.39 sk_c6=multiply(sk_c6,sk_c7)|~sQ8_spl|~sQ7_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f92,f198])).
% 0.09/0.39 fof(f206,plain,(
% 0.09/0.39 sk_c6=sk_c5|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f53,f205])).
% 0.09/0.39 fof(f208,plain,(
% 0.09/0.39 sk_c4=multiply(sk_c5,sk_c6)|~sQ6_spl|~sQ3_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f76,f200])).
% 0.09/0.39 fof(f209,plain,(
% 0.09/0.39 sk_c6=multiply(sk_c5,sk_c5)|~sQ6_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f76,f201])).
% 0.09/0.39 fof(f213,plain,(
% 0.09/0.39 multiply(sk_c5,sk_c4)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f204,f64])).
% 0.09/0.39 fof(f215,plain,(
% 0.09/0.39 inverse(sk_c2)=sk_c5|~sQ1_spl|~sQ2_spl),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f204,f60])).
% 0.09/0.39 fof(f220,plain,(
% 0.09/0.39 multiply(sk_c5,sk_c6)=sk_c5|~sQ2_spl|~sQ1_spl),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f204,f29])).
% 0.09/0.39 fof(f221,plain,(
% 0.09/0.39 inverse(sk_c5)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ6_spl),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f204,f76])).
% 0.09/0.39 fof(f227,plain,(
% 0.09/0.39 multiply(sk_c5,sk_c2)=identity|~sQ1_spl|~sQ2_spl),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f215,f27])).
% 0.09/0.39 fof(f228,plain,(
% 0.09/0.39 ![X0]: (~multiply(X0,sk_c5)=sk_c7|~inverse(X0)=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f206,f103])).
% 0.09/0.39 fof(f238,definition,(
% 0.09/0.39 sQ19_spl <=> (inverse(inverse(sk_c5))=sk_c5)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f240,plain,(
% 0.09/0.39 ~inverse(inverse(sk_c5))=sk_c5|sQ19_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f238])).
% 0.09/0.39 fof(f242,definition,(
% 0.09/0.39 sQ20_spl <=> (sk_c5=sk_c5)),
% 0.09/0.39 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.09/0.39 fof(f244,plain,(
% 0.09/0.39 ~sk_c5=sk_c5|sQ20_spl),
% 0.09/0.39 inference(component_clause,[status(thm)],[f242])).
% 0.09/0.39 fof(f249,plain,(
% 0.09/0.39 $false|sQ20_spl),
% 0.09/0.39 inference(trivial_equality_resolution,[status(thm)],[f244])).
% 0.09/0.39 fof(f250,plain,(
% 0.09/0.39 sQ20_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f249])).
% 0.09/0.39 fof(f254,plain,(
% 0.09/0.39 inverse(sk_c3)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f204,f72])).
% 0.09/0.39 fof(f286,plain,(
% 0.09/0.39 sk_c5=multiply(inverse(sk_c5),sk_c6)|~sQ6_spl),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f209,f174])).
% 0.09/0.39 fof(f288,plain,(
% 0.09/0.39 sk_c5=multiply(sk_c5,sk_c6)|~sQ2_spl|~sQ1_spl|~sQ6_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f221,f286])).
% 0.09/0.39 fof(f289,plain,(
% 0.09/0.39 sk_c5=sk_c4|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f208,f288])).
% 0.09/0.39 fof(f295,plain,(
% 0.09/0.39 inverse(sk_c5)=sk_c4|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f289,f221])).
% 0.09/0.39 fof(f305,plain,(
% 0.09/0.39 inverse(sk_c4)=sk_c4|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f289,f295])).
% 0.09/0.39 fof(f343,plain,(
% 0.09/0.39 ~inverse(inverse(sk_c4))=sk_c5|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|sQ19_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f289,f240])).
% 0.09/0.39 fof(f344,plain,(
% 0.09/0.39 ~inverse(sk_c4)=sk_c5|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|sQ19_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f305,f343])).
% 0.09/0.39 fof(f345,plain,(
% 0.09/0.39 ~sk_c4=sk_c5|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|sQ19_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f305,f344])).
% 0.09/0.39 fof(f346,plain,(
% 0.09/0.39 ~sk_c4=sk_c4|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|sQ19_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f289,f345])).
% 0.09/0.39 fof(f347,plain,(
% 0.09/0.39 $false|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|sQ19_spl),
% 0.09/0.39 inference(trivial_equality_resolution,[status(thm)],[f346])).
% 0.09/0.39 fof(f348,plain,(
% 0.09/0.39 ~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ6_spl|sQ19_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f347])).
% 0.09/0.39 fof(f349,plain,(
% 0.09/0.39 inverse(sk_c1)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f206,f92])).
% 0.09/0.39 fof(f366,plain,(
% 0.09/0.39 ~sk_c5=sk_c5|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ16_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f206,f163])).
% 0.09/0.39 fof(f367,plain,(
% 0.09/0.39 $false|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ16_spl),
% 0.09/0.39 inference(trivial_equality_resolution,[status(thm)],[f366])).
% 0.09/0.39 fof(f368,plain,(
% 0.09/0.39 ~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ16_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f367])).
% 0.09/0.39 fof(f369,plain,(
% 0.09/0.39 multiply(sk_c5,sk_c3)=identity|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f254,f27])).
% 0.09/0.39 fof(f371,plain,(
% 0.09/0.39 multiply(sk_c5,sk_c2)=identity|~sQ1_spl|~sQ2_spl),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f215,f27])).
% 0.09/0.39 fof(f373,plain,(
% 0.09/0.39 multiply(sk_c3,sk_c5)=sk_c4|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f204,f68])).
% 0.09/0.39 fof(f374,plain,(
% 0.09/0.39 sk_c5=multiply(inverse(sk_c3),sk_c4)|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f373,f174])).
% 0.09/0.39 fof(f376,plain,(
% 0.09/0.39 sk_c5=multiply(sk_c5,sk_c4)|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f254,f374])).
% 0.09/0.39 fof(f379,plain,(
% 0.09/0.39 ~inverse(sk_c5)=sk_c5|~sQ2_spl|~sQ1_spl|sQ6_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f204,f77])).
% 0.09/0.39 fof(f393,plain,(
% 0.09/0.39 sk_c6=multiply(sk_c6,sk_c5)|~sQ2_spl|~sQ1_spl|~sQ8_spl|~sQ7_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f204,f205])).
% 0.09/0.39 fof(f394,plain,(
% 0.09/0.39 sk_c5=multiply(inverse(sk_c6),sk_c6)|~sQ2_spl|~sQ1_spl|~sQ8_spl|~sQ7_spl),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f393,f174])).
% 0.09/0.39 fof(f396,plain,(
% 0.09/0.39 sk_c5=identity|~sQ2_spl|~sQ1_spl|~sQ8_spl|~sQ7_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f27,f394])).
% 0.09/0.39 fof(f401,plain,(
% 0.09/0.39 multiply(sk_c5,sk_c4)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f204,f64])).
% 0.09/0.39 fof(f408,plain,(
% 0.09/0.39 sk_c4=sk_c6|~sQ8_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f409,f401])).
% 0.09/0.39 fof(f409,plain,(
% 0.09/0.39 ![X0]: (multiply(sk_c5,X0)=X0|~sQ2_spl|~sQ1_spl|~sQ8_spl|~sQ7_spl)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f396,f26])).
% 0.09/0.39 fof(f412,plain,(
% 0.09/0.39 $false|sQ17_spl|~sQ8_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f408,f167])).
% 0.09/0.39 fof(f413,plain,(
% 0.09/0.39 sQ17_spl|~sQ8_spl|~sQ7_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f412])).
% 0.09/0.39 fof(f418,plain,(
% 0.09/0.39 ~sk_c5=sk_c4|~sQ17_spl|sQ15_spl),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f166,f154])).
% 0.09/0.39 fof(f424,plain,(
% 0.09/0.39 multiply(sk_c5,sk_c6)=sk_c5|~sQ2_spl|~sQ1_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f204,f29])).
% 0.09/0.39 fof(f425,plain,(
% 0.09/0.39 multiply(sk_c5,sk_c4)=sk_c5|~sQ17_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f166,f424])).
% 0.09/0.39 fof(f439,plain,(
% 0.09/0.39 sk_c5=sk_c6|~sQ17_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f425,f213])).
% 0.09/0.39 fof(f440,plain,(
% 0.09/0.39 sk_c5=sk_c4|~sQ17_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f166,f439])).
% 0.09/0.39 fof(f441,plain,(
% 0.09/0.39 $false|sQ15_spl|~sQ17_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f440,f418])).
% 0.09/0.39 fof(f442,plain,(
% 0.09/0.39 sQ15_spl|~sQ17_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f441])).
% 0.09/0.39 fof(f453,plain,(
% 0.09/0.39 identity=multiply(sk_c6,identity)|~sQ1_spl|~sQ0_spl|~sQ2_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f227,f178])).
% 0.09/0.39 fof(f454,plain,(
% 0.09/0.39 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ10_spl)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f204,f103])).
% 0.09/0.39 fof(f540,plain,(
% 0.09/0.39 inverse(sk_c2)=sk_c4|~sQ17_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f440,f215])).
% 0.09/0.39 fof(f541,plain,(
% 0.09/0.39 sk_c7=sk_c4|~sQ17_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f440,f204])).
% 0.09/0.39 fof(f553,plain,(
% 0.09/0.39 inverse(sk_c3)=sk_c4|~sQ17_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f440,f254])).
% 0.09/0.39 fof(f560,plain,(
% 0.09/0.39 identity=multiply(sk_c4,identity)|~sQ17_spl|~sQ1_spl|~sQ0_spl|~sQ2_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f166,f453])).
% 0.09/0.39 fof(f562,plain,(
% 0.09/0.39 ![X0]: (multiply(identity,X0)=multiply(sk_c4,multiply(identity,X0))|~sQ17_spl|~sQ1_spl|~sQ0_spl|~sQ2_spl)),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f560,f28])).
% 0.09/0.39 fof(f563,plain,(
% 0.09/0.39 ![X0]: (X0=multiply(sk_c4,multiply(identity,X0))|~sQ17_spl|~sQ1_spl|~sQ0_spl|~sQ2_spl)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f26,f562])).
% 0.09/0.39 fof(f564,plain,(
% 0.09/0.39 ![X0]: (X0=multiply(sk_c4,X0)|~sQ17_spl|~sQ1_spl|~sQ0_spl|~sQ2_spl)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f26,f563])).
% 0.09/0.39 fof(f572,plain,(
% 0.09/0.39 multiply(sk_c4,sk_c2)=identity|~sQ17_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f440,f371])).
% 0.09/0.39 fof(f574,plain,(
% 0.09/0.39 ![X0]: (multiply(sk_c2,X0)=X0|~sQ0_spl|~sQ17_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl)),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f575,f26])).
% 0.09/0.39 fof(f575,plain,(
% 0.09/0.39 sk_c2=identity|~sQ0_spl|~sQ17_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f564,f572])).
% 0.09/0.39 fof(f588,plain,(
% 0.09/0.39 ![X0]: (~multiply(X0,sk_c4)=sk_c5|~inverse(X0)=sk_c6|~sQ17_spl|~sQ2_spl|~sQ1_spl|~sQ10_spl)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f166,f454])).
% 0.09/0.39 fof(f589,plain,(
% 0.09/0.39 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c6|~sQ3_spl|~sQ17_spl|~sQ2_spl|~sQ1_spl|~sQ10_spl)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f440,f588])).
% 0.09/0.39 fof(f590,plain,(
% 0.09/0.39 ![X0]: (~multiply(X0,sk_c4)=sk_c4|~inverse(X0)=sk_c4|~sQ3_spl|~sQ17_spl|~sQ2_spl|~sQ1_spl|~sQ10_spl)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f166,f589])).
% 0.09/0.39 fof(f591,plain,(
% 0.09/0.39 ~inverse(sk_c2)=sk_c4|~sQ10_spl|~sQ0_spl|~sQ17_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.39 inference(resolution,[status(thm)],[f590,f574])).
% 0.09/0.39 fof(f596,plain,(
% 0.09/0.39 ~sk_c4=sk_c4|~sQ10_spl|~sQ0_spl|~sQ17_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f540,f591])).
% 0.09/0.39 fof(f597,plain,(
% 0.09/0.39 $false|~sQ10_spl|~sQ0_spl|~sQ17_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.39 inference(trivial_equality_resolution,[status(thm)],[f596])).
% 0.09/0.39 fof(f598,plain,(
% 0.09/0.39 ~sQ10_spl|~sQ0_spl|~sQ17_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.39 inference(contradiction_clause,[status(thm)],[f597])).
% 0.09/0.39 fof(f617,plain,(
% 0.09/0.39 sk_c5=sk_c6|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f376,f213])).
% 0.09/0.39 fof(f618,plain,(
% 0.09/0.39 sk_c4=multiply(inverse(sk_c5),sk_c5)|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f376,f174])).
% 0.09/0.39 fof(f620,plain,(
% 0.09/0.39 sk_c4=identity|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f27,f618])).
% 0.09/0.39 fof(f624,plain,(
% 0.09/0.39 ~sk_c4=sk_c5|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|sQ17_spl),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f617,f167])).
% 0.09/0.39 fof(f628,plain,(
% 0.09/0.39 ![X0]: (multiply(inverse(X0),X0)=sk_c4|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl)),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f620,f27])).
% 0.09/0.39 fof(f633,plain,(
% 0.09/0.39 ![X0]: (multiply(sk_c4,X0)=X0|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f620,f26])).
% 0.09/0.39 fof(f636,plain,(
% 0.09/0.39 multiply(sk_c5,sk_c3)=sk_c4|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f620,f369])).
% 0.09/0.39 fof(f662,plain,(
% 0.09/0.39 sk_c4=multiply(sk_c6,identity)|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ0_spl|~sQ2_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f620,f453])).
% 0.09/0.39 fof(f663,plain,(
% 0.09/0.39 sk_c4=multiply(sk_c5,identity)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ0_spl|~sQ2_spl),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f617,f662])).
% 0.09/0.39 fof(f664,plain,(
% 0.09/0.39 sk_c5=sk_c4|~sQ3_spl|~sQ0_spl|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f665,f376])).
% 0.09/0.40 fof(f665,plain,(
% 0.09/0.40 sk_c4=multiply(sk_c5,sk_c4)|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ0_spl|~sQ2_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f620,f663])).
% 0.09/0.40 fof(f690,plain,(
% 0.09/0.40 multiply(sk_c4,sk_c3)=sk_c4|~sQ3_spl|~sQ0_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f664,f636])).
% 0.09/0.40 fof(f695,plain,(
% 0.09/0.40 ~inverse(sk_c5)=sk_c4|~sQ3_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ6_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f664,f379])).
% 0.09/0.40 fof(f703,plain,(
% 0.09/0.40 sk_c3=sk_c4|~sQ3_spl|~sQ0_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f633,f690])).
% 0.09/0.40 fof(f705,plain,(
% 0.09/0.40 ~inverse(sk_c4)=sk_c4|~sQ3_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f664,f695])).
% 0.09/0.40 fof(f738,plain,(
% 0.09/0.40 inverse(sk_c3)=sk_c3|~sQ0_spl|~sQ4_spl|~sQ17_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f703,f553])).
% 0.09/0.40 fof(f747,plain,(
% 0.09/0.40 ~inverse(sk_c3)=sk_c4|~sQ3_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f703,f705])).
% 0.09/0.40 fof(f748,plain,(
% 0.09/0.40 ~sk_c3=sk_c4|~sQ17_spl|~sQ3_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f738,f747])).
% 0.09/0.40 fof(f749,plain,(
% 0.09/0.40 ~sk_c3=sk_c3|~sQ17_spl|~sQ3_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f703,f748])).
% 0.09/0.40 fof(f750,plain,(
% 0.09/0.40 $false|~sQ17_spl|~sQ3_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ6_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f749])).
% 0.09/0.40 fof(f751,plain,(
% 0.09/0.40 ~sQ17_spl|~sQ3_spl|~sQ0_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|sQ6_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f750])).
% 0.09/0.40 fof(f763,plain,(
% 0.09/0.40 multiply(sk_c5,sk_c5)=sk_c5|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f617,f220])).
% 0.09/0.40 fof(f764,plain,(
% 0.09/0.40 sk_c5=multiply(inverse(sk_c5),sk_c5)|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f763,f174])).
% 0.09/0.40 fof(f766,plain,(
% 0.09/0.40 sk_c5=sk_c4|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f628,f764])).
% 0.09/0.40 fof(f767,plain,(
% 0.09/0.40 $false|sQ17_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f766,f624])).
% 0.09/0.40 fof(f768,plain,(
% 0.09/0.40 sQ17_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f767])).
% 0.09/0.40 fof(f797,plain,(
% 0.09/0.40 inverse(sk_c3)=sk_c4|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f766,f254])).
% 0.09/0.40 fof(f798,plain,(
% 0.09/0.40 multiply(sk_c4,sk_c3)=sk_c4|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f797,f628])).
% 0.09/0.40 fof(f800,plain,(
% 0.09/0.40 sk_c3=sk_c4|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f633,f798])).
% 0.09/0.40 fof(f804,plain,(
% 0.09/0.40 sk_c3=sk_c6|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ17_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f800,f166])).
% 0.09/0.40 fof(f805,plain,(
% 0.09/0.40 sk_c7=sk_c3|~sQ4_spl|~sQ5_spl|~sQ17_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f800,f541])).
% 0.09/0.40 fof(f806,plain,(
% 0.09/0.40 sk_c5=sk_c3|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f800,f766])).
% 0.09/0.40 fof(f810,plain,(
% 0.09/0.40 multiply(sk_c3,sk_c3)=sk_c4|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f806,f373])).
% 0.09/0.40 fof(f811,plain,(
% 0.09/0.40 multiply(sk_c3,sk_c3)=sk_c3|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f800,f810])).
% 0.09/0.40 fof(f814,plain,(
% 0.09/0.40 ~multiply(sk_c3,sk_c7)=sk_c5|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ17_spl|sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f804,f54])).
% 0.09/0.40 fof(f815,plain,(
% 0.09/0.40 ~multiply(sk_c3,sk_c3)=sk_c5|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ17_spl|sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f805,f814])).
% 0.09/0.40 fof(f816,plain,(
% 0.09/0.40 ~sk_c3=sk_c5|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ17_spl|sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f811,f815])).
% 0.09/0.40 fof(f817,plain,(
% 0.09/0.40 ~sk_c3=sk_c3|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ17_spl|sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f806,f816])).
% 0.09/0.40 fof(f818,plain,(
% 0.09/0.40 $false|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ17_spl|sQ0_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f817])).
% 0.09/0.40 fof(f819,plain,(
% 0.09/0.40 ~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl|~sQ17_spl|sQ0_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f818])).
% 0.09/0.40 fof(f820,plain,(
% 0.09/0.40 ~sQ16_spl|sQ15_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f154,f161,f149])).
% 0.09/0.40 fof(f826,plain,(
% 0.09/0.40 ~inverse(sk_c5)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ14_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f206,f147])).
% 0.09/0.40 fof(f849,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,sk_c5)=sk_c7|~inverse(X0)=sk_c5|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f206,f228])).
% 0.09/0.40 fof(f864,plain,(
% 0.09/0.40 sk_c5=multiply(sk_c5,sk_c5)|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f206,f209])).
% 0.09/0.40 fof(f865,plain,(
% 0.09/0.40 sk_c5=multiply(inverse(sk_c5),sk_c5)|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f864,f174])).
% 0.09/0.40 fof(f867,plain,(
% 0.09/0.40 sk_c5=identity|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f27,f865])).
% 0.09/0.40 fof(f869,plain,(
% 0.09/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl)),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f867,f27])).
% 0.09/0.40 fof(f872,plain,(
% 0.09/0.40 ![X0]: (multiply(sk_c5,X0)=X0|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl)),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f867,f26])).
% 0.09/0.40 fof(f873,plain,(
% 0.09/0.40 multiply(sk_c5,sk_c7)=sk_c5|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f206,f53])).
% 0.09/0.40 fof(f876,plain,(
% 0.09/0.40 sk_c7=sk_c5|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f872,f873])).
% 0.09/0.40 fof(f883,plain,(
% 0.09/0.40 ~inverse(sk_c5)=sk_c5|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|sQ14_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f876,f826])).
% 0.09/0.40 fof(f884,plain,(
% 0.09/0.40 inverse(sk_c5)=sk_c5|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f876,f76])).
% 0.09/0.40 fof(f886,plain,(
% 0.09/0.40 $false|sQ14_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f884,f883])).
% 0.09/0.40 fof(f887,plain,(
% 0.09/0.40 sQ14_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f886])).
% 0.09/0.40 fof(f915,plain,(
% 0.09/0.40 ~multiply(sk_c5,sk_c5)=sk_c6|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ13_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f876,f144])).
% 0.09/0.40 fof(f916,plain,(
% 0.09/0.40 ~sk_c5=sk_c6|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ13_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f872,f915])).
% 0.09/0.40 fof(f917,plain,(
% 0.09/0.40 ~sk_c5=sk_c5|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ13_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f206,f916])).
% 0.09/0.40 fof(f918,plain,(
% 0.09/0.40 $false|~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ13_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f917])).
% 0.09/0.40 fof(f919,plain,(
% 0.09/0.40 ~sQ6_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ13_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f918])).
% 0.09/0.40 fof(f920,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c5|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f876,f849])).
% 0.09/0.40 fof(f932,plain,(
% 0.09/0.40 multiply(sk_c1,sk_c5)=sk_c7|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f206,f84])).
% 0.09/0.40 fof(f933,plain,(
% 0.09/0.40 multiply(sk_c1,sk_c5)=sk_c5|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f876,f932])).
% 0.09/0.40 fof(f935,plain,(
% 0.09/0.40 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c1,multiply(sk_c5,X0))|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f933,f28])).
% 0.09/0.40 fof(f937,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(sk_c1,multiply(sk_c5,X0))|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f872,f935])).
% 0.09/0.40 fof(f938,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(sk_c1,X0)|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f872,f937])).
% 0.09/0.40 fof(f956,plain,(
% 0.09/0.40 multiply(sk_c5,sk_c1)=sk_c5|~sQ6_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f349,f869])).
% 0.09/0.40 fof(f959,plain,(
% 0.09/0.40 sk_c1=sk_c5|~sQ6_spl|~sQ0_spl|~sQ7_spl|~sQ8_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f872,f956])).
% 0.09/0.40 fof(f962,plain,(
% 0.09/0.40 inverse(sk_c5)=sk_c1|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f959,f884])).
% 0.09/0.40 fof(f969,plain,(
% 0.09/0.40 inverse(sk_c1)=sk_c1|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f959,f962])).
% 0.09/0.40 fof(f978,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,sk_c1)=sk_c5|~inverse(X0)=sk_c5|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f959,f920])).
% 0.09/0.40 fof(f979,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,sk_c1)=sk_c1|~inverse(X0)=sk_c5|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f959,f978])).
% 0.09/0.40 fof(f980,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,sk_c1)=sk_c1|~inverse(X0)=sk_c1|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ10_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f959,f979])).
% 0.09/0.40 fof(f982,plain,(
% 0.09/0.40 ~inverse(sk_c1)=sk_c1|~sQ10_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f980,f938])).
% 0.09/0.40 fof(f986,plain,(
% 0.09/0.40 ~sk_c1=sk_c1|~sQ10_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f969,f982])).
% 0.09/0.40 fof(f987,plain,(
% 0.09/0.40 $false|~sQ10_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f986])).
% 0.09/0.40 fof(f988,plain,(
% 0.09/0.40 ~sQ10_spl|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f987])).
% 0.09/0.40 fof(f989,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(sat_refutation,[status(thm)],[f58,f62,f66,f70,f74,f78,f79,f80,f81,f82,f86,f87,f88,f89,f90,f94,f95,f96,f97,f98,f111,f148,f152,f153,f157,f164,f168,f250,f348,f368,f413,f442,f598,f751,f768,f819,f820,f887,f919,f988])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.055772 seconds
% 0.14/0.42 % CPU time: 0.169338 seconds
% 0.14/0.42 % Total memory used: 31.329 MB
% 0.14/0.42 % Net memory used: 31.213 MB
%------------------------------------------------------------------------------