%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP306-1 : 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 : n014.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 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP306-1 : 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 : n014.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 20:08:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f1,axiom,(
% 0.09/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f2,axiom,(
% 0.09/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f3,axiom,(
% 0.09/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f4,negated_conjecture,(
% 0.09/0.40 multiply(sk_c8,sk_c7) = sk_c6 ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f5,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c8) = sk_c6| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f6,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c8) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f7,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c8) = sk_c6| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f8,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c8) = sk_c6| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f9,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c8) = sk_c6| inverse(sk_c4) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f10,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f11,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f12,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f13,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c1,sk_c2) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f14,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c1,sk_c2) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f15,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c1) = sk_c2| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f16,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c1) = sk_c2| inverse(sk_c3) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f17,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c1) = sk_c2| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f18,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c1) = sk_c2| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f19,negated_conjecture,(
% 0.09/0.40 ( inverse(sk_c1) = sk_c2| inverse(sk_c4) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f20,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c3,sk_c8) = sk_c7 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f21,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f22,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c8,sk_c5) = sk_c7 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f23,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| multiply(sk_c4,sk_c8) = sk_c5 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f24,negated_conjecture,(
% 0.09/0.40 ( multiply(sk_c2,sk_c7) = sk_c8| inverse(sk_c4) = sk_c8 ) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f25,negated_conjecture,(
% 0.09/0.40 (![X3,X4,X1,X2,X5]: (( multiply(sk_c8,sk_c7) != sk_c6| inverse(sk_c8) != sk_c6| multiply(X3,X4) != sk_c8| inverse(X3) != X4| multiply(X4,sk_c7) != sk_c8| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(sk_c8,X2) != sk_c7| multiply(X5,sk_c8) != X2| inverse(X5) != sk_c8 ) ))),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f26,plain,(
% 0.09/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.40 fof(f27,plain,(
% 0.09/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.40 fof(f28,plain,(
% 0.09/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.40 fof(f29,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c7)=sk_c6),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f30,plain,(
% 0.09/0.40 inverse(sk_c8)=sk_c6|multiply(sk_c3,sk_c8)=sk_c7),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.40 fof(f31,plain,(
% 0.09/0.40 inverse(sk_c8)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.40 fof(f32,plain,(
% 0.09/0.40 inverse(sk_c8)=sk_c6|multiply(sk_c8,sk_c5)=sk_c7),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.40 fof(f33,plain,(
% 0.09/0.40 inverse(sk_c8)=sk_c6|multiply(sk_c4,sk_c8)=sk_c5),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.40 fof(f34,plain,(
% 0.09/0.40 inverse(sk_c8)=sk_c6|inverse(sk_c4)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.40 fof(f35,plain,(
% 0.09/0.40 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.40 fof(f36,plain,(
% 0.09/0.40 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.40 fof(f37,plain,(
% 0.09/0.40 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.40 fof(f38,plain,(
% 0.09/0.40 multiply(sk_c1,sk_c2)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.40 fof(f39,plain,(
% 0.09/0.40 multiply(sk_c1,sk_c2)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.40 fof(f40,plain,(
% 0.09/0.40 inverse(sk_c1)=sk_c2|multiply(sk_c3,sk_c8)=sk_c7),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.40 fof(f41,plain,(
% 0.09/0.40 inverse(sk_c1)=sk_c2|inverse(sk_c3)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.40 fof(f42,plain,(
% 0.09/0.40 inverse(sk_c1)=sk_c2|multiply(sk_c8,sk_c5)=sk_c7),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.40 fof(f43,plain,(
% 0.09/0.40 inverse(sk_c1)=sk_c2|multiply(sk_c4,sk_c8)=sk_c5),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.40 fof(f44,plain,(
% 0.09/0.40 inverse(sk_c1)=sk_c2|inverse(sk_c4)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.40 fof(f45,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c3,sk_c8)=sk_c7),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.40 fof(f46,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/0.40 fof(f47,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c8,sk_c5)=sk_c7),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.40 fof(f48,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c7)=sk_c8|multiply(sk_c4,sk_c8)=sk_c5),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.40 fof(f49,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c7)=sk_c8|inverse(sk_c4)=sk_c8),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.40 fof(f50,plain,(
% 0.09/0.40 ![X5]: ((![X2]: (((![X1]: (((![X4]: ((![X3]: (((~multiply(sk_c8,sk_c7)=sk_c6|~inverse(sk_c8)=sk_c6)|~multiply(X3,X4)=sk_c8)|~inverse(X3)=X4))|~multiply(X4,sk_c7)=sk_c8))|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(sk_c8,X2)=sk_c7)|~multiply(X5,sk_c8)=X2))|~inverse(X5)=sk_c8)),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f25])).
% 0.09/0.40 fof(f51,plain,(
% 0.09/0.40 ![X0,X1,X2,X3,X4]: (~multiply(sk_c8,sk_c7)=sk_c6|~inverse(sk_c8)=sk_c6|~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8|~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.40 fof(f52,definition,(
% 0.09/0.40 sQ0_spl <=> (inverse(sk_c8)=sk_c6)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f53,plain,(
% 0.09/0.40 inverse(sk_c8)=sk_c6|~sQ0_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f52])).
% 0.09/0.40 fof(f54,plain,(
% 0.09/0.40 ~inverse(sk_c8)=sk_c6|sQ0_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f52])).
% 0.09/0.40 fof(f55,definition,(
% 0.09/0.40 sQ1_spl <=> (multiply(sk_c3,sk_c8)=sk_c7)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f56,plain,(
% 0.09/0.40 multiply(sk_c3,sk_c8)=sk_c7|~sQ1_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f55])).
% 0.09/0.40 fof(f58,plain,(
% 0.09/0.40 sQ0_spl|sQ1_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f30,f52,f55])).
% 0.09/0.40 fof(f59,definition,(
% 0.09/0.40 sQ2_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f60,plain,(
% 0.09/0.40 inverse(sk_c3)=sk_c8|~sQ2_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f59])).
% 0.09/0.40 fof(f61,plain,(
% 0.09/0.40 ~inverse(sk_c3)=sk_c8|sQ2_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f59])).
% 0.09/0.40 fof(f62,plain,(
% 0.09/0.40 sQ0_spl|sQ2_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f31,f52,f59])).
% 0.09/0.40 fof(f63,definition,(
% 0.09/0.40 sQ3_spl <=> (multiply(sk_c8,sk_c5)=sk_c7)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f64,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c5)=sk_c7|~sQ3_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f63])).
% 0.09/0.40 fof(f66,plain,(
% 0.09/0.40 sQ0_spl|sQ3_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f32,f52,f63])).
% 0.09/0.40 fof(f67,definition,(
% 0.09/0.40 sQ4_spl <=> (multiply(sk_c4,sk_c8)=sk_c5)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f68,plain,(
% 0.09/0.40 multiply(sk_c4,sk_c8)=sk_c5|~sQ4_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f67])).
% 0.09/0.40 fof(f70,plain,(
% 0.09/0.40 sQ0_spl|sQ4_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f33,f52,f67])).
% 0.09/0.40 fof(f71,definition,(
% 0.09/0.40 sQ5_spl <=> (inverse(sk_c4)=sk_c8)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f72,plain,(
% 0.09/0.40 inverse(sk_c4)=sk_c8|~sQ5_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f71])).
% 0.09/0.40 fof(f74,plain,(
% 0.09/0.40 sQ0_spl|sQ5_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f34,f52,f71])).
% 0.09/0.40 fof(f75,definition,(
% 0.09/0.40 sQ6_spl <=> (multiply(sk_c1,sk_c2)=sk_c8)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f76,plain,(
% 0.09/0.40 multiply(sk_c1,sk_c2)=sk_c8|~sQ6_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f75])).
% 0.09/0.40 fof(f78,plain,(
% 0.09/0.40 sQ6_spl|sQ1_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f35,f75,f55])).
% 0.09/0.40 fof(f79,plain,(
% 0.09/0.40 sQ6_spl|sQ2_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f36,f75,f59])).
% 0.09/0.40 fof(f80,plain,(
% 0.09/0.40 sQ6_spl|sQ3_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f37,f75,f63])).
% 0.09/0.40 fof(f81,plain,(
% 0.09/0.40 sQ6_spl|sQ4_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f38,f75,f67])).
% 0.09/0.40 fof(f82,plain,(
% 0.09/0.40 sQ6_spl|sQ5_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f39,f75,f71])).
% 0.09/0.40 fof(f83,definition,(
% 0.09/0.40 sQ7_spl <=> (inverse(sk_c1)=sk_c2)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f84,plain,(
% 0.09/0.40 inverse(sk_c1)=sk_c2|~sQ7_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f83])).
% 0.09/0.40 fof(f86,plain,(
% 0.09/0.40 sQ7_spl|sQ1_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f40,f83,f55])).
% 0.09/0.40 fof(f87,plain,(
% 0.09/0.40 sQ7_spl|sQ2_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f41,f83,f59])).
% 0.09/0.40 fof(f88,plain,(
% 0.09/0.40 sQ7_spl|sQ3_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f42,f83,f63])).
% 0.09/0.40 fof(f89,plain,(
% 0.09/0.40 sQ7_spl|sQ4_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f43,f83,f67])).
% 0.09/0.40 fof(f90,plain,(
% 0.09/0.40 sQ7_spl|sQ5_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f44,f83,f71])).
% 0.09/0.40 fof(f91,definition,(
% 0.09/0.40 sQ8_spl <=> (multiply(sk_c2,sk_c7)=sk_c8)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f92,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c7)=sk_c8|~sQ8_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f91])).
% 0.09/0.40 fof(f94,plain,(
% 0.09/0.40 sQ8_spl|sQ1_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f45,f91,f55])).
% 0.09/0.40 fof(f95,plain,(
% 0.09/0.40 sQ8_spl|sQ2_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f46,f91,f59])).
% 0.09/0.40 fof(f96,plain,(
% 0.09/0.40 sQ8_spl|sQ3_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f47,f91,f63])).
% 0.09/0.40 fof(f97,plain,(
% 0.09/0.40 sQ8_spl|sQ4_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f48,f91,f67])).
% 0.09/0.40 fof(f98,plain,(
% 0.09/0.40 sQ8_spl|sQ5_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f49,f91,f71])).
% 0.09/0.40 fof(f99,definition,(
% 0.09/0.40 sQ9_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f101,plain,(
% 0.09/0.40 ~multiply(sk_c8,sk_c7)=sk_c6|sQ9_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f99])).
% 0.09/0.40 fof(f102,definition,(
% 0.09/0.40 ![X0,X1]: (sQ10_spl <=> (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f103,plain,(
% 0.09/0.40 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~sQ10_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f102])).
% 0.09/0.40 fof(f105,definition,(
% 0.09/0.40 ![X2]: (sQ11_spl <=> (~multiply(X2,sk_c8)=sk_c7|~inverse(X2)=sk_c8))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f106,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ11_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f105])).
% 0.09/0.40 fof(f108,definition,(
% 0.09/0.40 ![X3,X4]: (sQ12_spl <=> (~multiply(sk_c8,X3)=sk_c7|~multiply(X4,sk_c8)=X3|~inverse(X4)=sk_c8))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f109,plain,(
% 0.09/0.40 ![X0,X1]: (~multiply(sk_c8,X0)=sk_c7|~multiply(X1,sk_c8)=X0|~inverse(X1)=sk_c8|~sQ12_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f108])).
% 0.09/0.40 fof(f111,plain,(
% 0.09/0.40 ~sQ9_spl|~sQ0_spl|sQ10_spl|sQ11_spl|sQ12_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f51,f99,f52,f102,f105,f108])).
% 0.09/0.40 fof(f112,plain,(
% 0.09/0.40 ![X0]: (~multiply(sk_c8,multiply(X0,sk_c8))=sk_c7|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.09/0.40 inference(destructive_equality_resolution,[status(thm)],[f109])).
% 0.09/0.40 fof(f139,plain,(
% 0.09/0.40 ~multiply(sk_c8,sk_c7)=sk_c7|~inverse(sk_c3)=sk_c8|~sQ12_spl|~sQ1_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f56,f112])).
% 0.09/0.40 fof(f140,plain,(
% 0.09/0.40 ~multiply(sk_c8,sk_c5)=sk_c7|~inverse(sk_c4)=sk_c8|~sQ12_spl|~sQ4_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f68,f112])).
% 0.09/0.40 fof(f141,definition,(
% 0.09/0.40 sQ13_spl <=> (multiply(sk_c8,sk_c7)=sk_c7)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f143,plain,(
% 0.09/0.40 ~multiply(sk_c8,sk_c7)=sk_c7|sQ13_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f141])).
% 0.09/0.40 fof(f144,plain,(
% 0.09/0.40 ~sQ13_spl|~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f139,f141,f59,f108,f55])).
% 0.09/0.40 fof(f145,plain,(
% 0.09/0.40 ~sQ3_spl|~sQ5_spl|~sQ12_spl|~sQ4_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f140,f63,f71,f108,f67])).
% 0.09/0.40 fof(f146,plain,(
% 0.09/0.40 ~sk_c6=sk_c7|sQ13_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f29,f143])).
% 0.09/0.40 fof(f147,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~sQ10_spl)),
% 0.09/0.40 inference(destructive_equality_resolution,[status(thm)],[f103])).
% 0.09/0.40 fof(f148,plain,(
% 0.09/0.40 ~sk_c6=sk_c6|sQ9_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f29,f101])).
% 0.09/0.40 fof(f149,plain,(
% 0.09/0.40 $false|sQ9_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f148])).
% 0.09/0.40 fof(f150,plain,(
% 0.09/0.40 sQ9_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f149])).
% 0.09/0.40 fof(f152,plain,(
% 0.09/0.40 ~sk_c5=sk_c7|~inverse(sk_c4)=sk_c8|~sQ11_spl|~sQ4_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f68,f106])).
% 0.09/0.40 fof(f153,definition,(
% 0.09/0.40 sQ14_spl <=> (sk_c5=sk_c7)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f154,plain,(
% 0.09/0.40 sk_c5=sk_c7|~sQ14_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f153])).
% 0.09/0.40 fof(f155,plain,(
% 0.09/0.40 ~sk_c5=sk_c7|sQ14_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f153])).
% 0.09/0.40 fof(f156,plain,(
% 0.09/0.40 ~sQ14_spl|~sQ5_spl|~sQ11_spl|~sQ4_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f152,f153,f71,f105,f67])).
% 0.09/0.40 fof(f158,plain,(
% 0.09/0.40 multiply(sk_c8,sk_c3)=identity|~sQ2_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f60,f27])).
% 0.09/0.40 fof(f161,plain,(
% 0.09/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f27,f28])).
% 0.09/0.40 fof(f162,plain,(
% 0.09/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f26,f161])).
% 0.09/0.40 fof(f177,plain,(
% 0.09/0.40 sk_c8=multiply(inverse(sk_c3),sk_c7)|~sQ1_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f56,f162])).
% 0.09/0.40 fof(f184,plain,(
% 0.09/0.40 sk_c2=multiply(inverse(sk_c1),sk_c8)|~sQ6_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f76,f162])).
% 0.09/0.40 fof(f189,plain,(
% 0.09/0.40 sk_c7=multiply(inverse(sk_c8),sk_c6)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f29,f162])).
% 0.09/0.40 fof(f191,plain,(
% 0.09/0.40 sk_c8=multiply(sk_c8,sk_c7)|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f60,f177])).
% 0.09/0.40 fof(f192,plain,(
% 0.09/0.40 sk_c8=sk_c6|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f29,f191])).
% 0.09/0.40 fof(f193,plain,(
% 0.09/0.40 sk_c2=multiply(sk_c2,sk_c8)|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f84,f184])).
% 0.09/0.40 fof(f196,plain,(
% 0.09/0.40 sk_c7=multiply(sk_c6,sk_c6)|~sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f53,f189])).
% 0.09/0.40 fof(f201,plain,(
% 0.09/0.40 multiply(sk_c6,sk_c5)=sk_c7|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f192,f64])).
% 0.09/0.40 fof(f203,plain,(
% 0.09/0.40 inverse(sk_c3)=sk_c6|~sQ1_spl|~sQ2_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f192,f60])).
% 0.09/0.40 fof(f205,plain,(
% 0.09/0.40 multiply(sk_c4,sk_c6)=sk_c5|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f192,f68])).
% 0.09/0.40 fof(f212,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c6|~multiply(inverse(X0),sk_c7)=sk_c8|~sQ2_spl|~sQ1_spl|~sQ10_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f192,f147])).
% 0.09/0.40 fof(f213,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c6|~multiply(inverse(X0),sk_c7)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ10_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f192,f212])).
% 0.09/0.40 fof(f214,plain,(
% 0.09/0.40 ~multiply(sk_c7,inverse(sk_c7))=sk_c6|~identity=sk_c6|~sQ2_spl|~sQ1_spl|~sQ10_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f27,f213])).
% 0.09/0.40 fof(f215,plain,(
% 0.09/0.40 ~multiply(sk_c3,inverse(sk_c3))=sk_c6|~multiply(sk_c6,sk_c7)=sk_c6|~sQ10_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f203,f213])).
% 0.09/0.40 fof(f216,plain,(
% 0.09/0.40 ~multiply(sk_c1,inverse(sk_c1))=sk_c6|~multiply(sk_c2,sk_c7)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ10_spl|~sQ7_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f84,f213])).
% 0.09/0.40 fof(f217,definition,(
% 0.09/0.40 sQ15_spl <=> (multiply(sk_c7,inverse(sk_c7))=sk_c6)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f220,definition,(
% 0.09/0.40 sQ16_spl <=> (identity=sk_c6)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f221,plain,(
% 0.09/0.40 identity=sk_c6|~sQ16_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f220])).
% 0.09/0.40 fof(f222,plain,(
% 0.09/0.40 ~identity=sk_c6|sQ16_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f220])).
% 0.09/0.40 fof(f223,plain,(
% 0.09/0.40 ~sQ15_spl|~sQ16_spl|~sQ2_spl|~sQ1_spl|~sQ10_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f214,f217,f220,f59,f55,f102])).
% 0.09/0.40 fof(f224,definition,(
% 0.09/0.40 sQ17_spl <=> (multiply(sk_c3,inverse(sk_c3))=sk_c6)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f226,plain,(
% 0.09/0.40 ~multiply(sk_c3,inverse(sk_c3))=sk_c6|sQ17_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f224])).
% 0.09/0.40 fof(f227,definition,(
% 0.09/0.40 sQ18_spl <=> (multiply(sk_c6,sk_c7)=sk_c6)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f229,plain,(
% 0.09/0.40 ~multiply(sk_c6,sk_c7)=sk_c6|sQ18_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f227])).
% 0.09/0.40 fof(f230,plain,(
% 0.09/0.40 ~sQ17_spl|~sQ18_spl|~sQ10_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f215,f224,f227,f102,f55,f59])).
% 0.09/0.40 fof(f231,definition,(
% 0.09/0.40 sQ19_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c6)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f233,plain,(
% 0.09/0.40 ~multiply(sk_c1,inverse(sk_c1))=sk_c6|sQ19_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f231])).
% 0.09/0.40 fof(f234,definition,(
% 0.09/0.40 sQ20_spl <=> (multiply(sk_c2,sk_c7)=sk_c6)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f237,plain,(
% 0.09/0.40 ~sQ19_spl|~sQ20_spl|~sQ2_spl|~sQ1_spl|~sQ10_spl|~sQ7_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f216,f231,f234,f59,f55,f102,f83])).
% 0.09/0.40 fof(f238,plain,(
% 0.09/0.40 ~multiply(sk_c1,sk_c2)=sk_c6|~sQ7_spl|sQ19_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f84,f233])).
% 0.09/0.40 fof(f239,plain,(
% 0.09/0.40 ~multiply(sk_c8,identity)=sk_c7|~inverse(inverse(sk_c8))=sk_c8|~sQ12_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f27,f112])).
% 0.09/0.40 fof(f240,plain,(
% 0.09/0.40 ~multiply(sk_c8,sk_c8)=sk_c7|~inverse(identity)=sk_c8|~sQ12_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f26,f112])).
% 0.09/0.40 fof(f242,definition,(
% 0.09/0.40 sQ21_spl <=> (multiply(sk_c8,identity)=sk_c7)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f244,plain,(
% 0.09/0.40 ~multiply(sk_c8,identity)=sk_c7|sQ21_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f242])).
% 0.09/0.40 fof(f245,definition,(
% 0.09/0.40 sQ22_spl <=> (inverse(inverse(sk_c8))=sk_c8)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f247,plain,(
% 0.09/0.40 ~inverse(inverse(sk_c8))=sk_c8|sQ22_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f245])).
% 0.09/0.40 fof(f248,plain,(
% 0.09/0.40 ~sQ21_spl|~sQ22_spl|~sQ12_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f239,f242,f245,f108])).
% 0.09/0.40 fof(f249,definition,(
% 0.09/0.40 sQ23_spl <=> (multiply(sk_c8,sk_c8)=sk_c7)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f252,definition,(
% 0.09/0.40 sQ24_spl <=> (inverse(identity)=sk_c8)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f255,plain,(
% 0.09/0.40 ~sQ23_spl|~sQ24_spl|~sQ12_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f240,f249,f252,f108])).
% 0.09/0.40 fof(f261,plain,(
% 0.09/0.40 sk_c8=multiply(inverse(sk_c2),sk_c2)|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f193,f162])).
% 0.09/0.40 fof(f263,plain,(
% 0.09/0.40 sk_c8=identity|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f27,f261])).
% 0.09/0.40 fof(f265,plain,(
% 0.09/0.40 ~sk_c8=sk_c6|~sQ7_spl|~sQ6_spl|sQ16_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f263,f222])).
% 0.09/0.40 fof(f267,plain,(
% 0.09/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ7_spl|~sQ6_spl)),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f263,f27])).
% 0.09/0.40 fof(f268,plain,(
% 0.09/0.40 ![X0]: (multiply(sk_c8,X0)=X0|~sQ7_spl|~sQ6_spl)),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f263,f26])).
% 0.09/0.40 fof(f272,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(inverse(sk_c8),X0)|~sQ7_spl|~sQ6_spl)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f268,f162])).
% 0.09/0.40 fof(f274,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(sk_c6,X0)|~sQ0_spl|~sQ7_spl|~sQ6_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f53,f272])).
% 0.09/0.40 fof(f279,plain,(
% 0.09/0.40 sk_c7=sk_c6|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f274,f196])).
% 0.09/0.40 fof(f280,plain,(
% 0.09/0.40 $false|sQ13_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f279,f146])).
% 0.09/0.40 fof(f281,plain,(
% 0.09/0.40 sQ13_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f280])).
% 0.09/0.40 fof(f285,plain,(
% 0.09/0.40 sk_c5=sk_c7|~sQ7_spl|~sQ6_spl|~sQ3_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f268,f64])).
% 0.09/0.40 fof(f286,plain,(
% 0.09/0.40 $false|sQ14_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f285,f155])).
% 0.09/0.40 fof(f287,plain,(
% 0.09/0.40 sQ14_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f286])).
% 0.09/0.40 fof(f297,plain,(
% 0.09/0.40 sk_c3=identity|~sQ7_spl|~sQ6_spl|~sQ2_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f268,f158])).
% 0.09/0.40 fof(f298,plain,(
% 0.09/0.40 $false|~sQ7_spl|~sQ6_spl|sQ16_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f192,f265])).
% 0.09/0.40 fof(f299,plain,(
% 0.09/0.40 ~sQ7_spl|~sQ6_spl|sQ16_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f298])).
% 0.09/0.40 fof(f302,plain,(
% 0.09/0.40 sk_c7=sk_c6|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f268,f29])).
% 0.09/0.40 fof(f303,plain,(
% 0.09/0.40 sk_c5=sk_c6|~sQ3_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f285,f302])).
% 0.09/0.40 fof(f304,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c1)=sk_c8|~sQ6_spl|~sQ7_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f84,f267])).
% 0.09/0.40 fof(f312,plain,(
% 0.09/0.40 sk_c8=sk_c5|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f303,f192])).
% 0.09/0.40 fof(f313,plain,(
% 0.09/0.40 sk_c3=sk_c6|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ16_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f297,f221])).
% 0.09/0.40 fof(f315,plain,(
% 0.09/0.40 sk_c3=sk_c5|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ16_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f303,f313])).
% 0.09/0.40 fof(f317,plain,(
% 0.09/0.40 ~inverse(sk_c5)=sk_c6|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f312,f54])).
% 0.09/0.40 fof(f318,plain,(
% 0.09/0.40 ~inverse(sk_c5)=sk_c5|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f303,f317])).
% 0.09/0.40 fof(f321,plain,(
% 0.09/0.40 inverse(sk_c5)=sk_c6|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ16_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f315,f203])).
% 0.09/0.40 fof(f322,plain,(
% 0.09/0.40 inverse(sk_c5)=sk_c5|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ16_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f303,f321])).
% 0.09/0.40 fof(f323,plain,(
% 0.09/0.40 $false|sQ0_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ16_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f322,f318])).
% 0.09/0.40 fof(f324,plain,(
% 0.09/0.40 sQ0_spl|~sQ3_spl|~sQ7_spl|~sQ6_spl|~sQ16_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f323])).
% 0.09/0.40 fof(f325,plain,(
% 0.09/0.40 inverse(sk_c3)=sk_c6|~sQ1_spl|~sQ2_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f192,f60])).
% 0.09/0.40 fof(f329,plain,(
% 0.09/0.40 inverse(sk_c4)=sk_c6|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f192,f72])).
% 0.09/0.40 fof(f334,plain,(
% 0.09/0.40 sk_c6=multiply(inverse(sk_c4),sk_c5)|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f205,f162])).
% 0.09/0.40 fof(f336,plain,(
% 0.09/0.40 sk_c6=multiply(sk_c6,sk_c5)|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f329,f334])).
% 0.09/0.40 fof(f428,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f26,f162])).
% 0.09/0.40 fof(f439,plain,(
% 0.09/0.40 multiply(sk_c6,sk_c3)=identity|~sQ1_spl|~sQ2_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f325,f27])).
% 0.09/0.40 fof(f444,plain,(
% 0.09/0.40 multiply(sk_c6,sk_c4)=identity|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f329,f27])).
% 0.09/0.40 fof(f452,plain,(
% 0.09/0.40 multiply(sk_c6,sk_c7)=sk_c6|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f192,f29])).
% 0.09/0.40 fof(f453,plain,(
% 0.09/0.40 $false|sQ18_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f452,f229])).
% 0.09/0.40 fof(f454,plain,(
% 0.09/0.40 sQ18_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f453])).
% 0.09/0.40 fof(f455,plain,(
% 0.09/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ7_spl|~sQ6_spl)),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f263,f27])).
% 0.09/0.40 fof(f460,plain,(
% 0.09/0.40 sk_c5=sk_c6|~sQ14_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f154,f279])).
% 0.09/0.40 fof(f471,plain,(
% 0.09/0.40 inverse(sk_c8)=sk_c5|~sQ14_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f460,f53])).
% 0.09/0.40 fof(f477,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(sk_c5,X0)|~sQ14_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f460,f274])).
% 0.09/0.40 fof(f491,plain,(
% 0.09/0.40 ~multiply(sk_c1,sk_c2)=sk_c5|~sQ14_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl|sQ19_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f460,f238])).
% 0.09/0.40 fof(f495,plain,(
% 0.09/0.40 ~identity=sk_c7|~sQ7_spl|~sQ6_spl|sQ21_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f268,f244])).
% 0.09/0.40 fof(f496,plain,(
% 0.09/0.40 ~sk_c8=sk_c7|~sQ7_spl|~sQ6_spl|sQ21_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f263,f495])).
% 0.09/0.40 fof(f498,plain,(
% 0.09/0.40 ~sk_c8=sk_c5|~sQ14_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl|sQ19_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f76,f491])).
% 0.09/0.40 fof(f499,plain,(
% 0.09/0.40 sk_c2=multiply(inverse(sk_c1),sk_c8)|~sQ6_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f76,f162])).
% 0.09/0.40 fof(f501,plain,(
% 0.09/0.40 sk_c2=multiply(sk_c2,sk_c8)|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f84,f499])).
% 0.09/0.40 fof(f503,plain,(
% 0.09/0.40 multiply(sk_c3,sk_c8)=sk_c5|~sQ14_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f154,f56])).
% 0.09/0.40 fof(f505,plain,(
% 0.09/0.40 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c3,multiply(sk_c8,X0))|~sQ14_spl|~sQ1_spl)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f503,f28])).
% 0.09/0.40 fof(f506,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(sk_c3,multiply(sk_c8,X0))|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ14_spl|~sQ1_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f477,f505])).
% 0.09/0.40 fof(f507,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(sk_c3,X0)|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ14_spl|~sQ1_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f268,f506])).
% 0.09/0.40 fof(f512,plain,(
% 0.09/0.40 sk_c8=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ14_spl|~sQ1_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f507,f503])).
% 0.09/0.40 fof(f517,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c5)=sk_c8|~sQ14_spl|~sQ10_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f154,f147])).
% 0.09/0.40 fof(f527,plain,(
% 0.09/0.40 inverse(sk_c5)=sk_c5|~sQ1_spl|~sQ14_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f512,f471])).
% 0.09/0.40 fof(f531,plain,(
% 0.09/0.40 ~sk_c5=sk_c5|~sQ1_spl|~sQ14_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl|sQ19_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f512,f498])).
% 0.09/0.40 fof(f532,plain,(
% 0.09/0.40 $false|~sQ1_spl|~sQ14_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl|sQ19_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f531])).
% 0.09/0.40 fof(f533,plain,(
% 0.09/0.40 ~sQ1_spl|~sQ14_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl|sQ19_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f532])).
% 0.09/0.40 fof(f548,plain,(
% 0.09/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ0_spl|~sQ14_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f512,f267])).
% 0.09/0.40 fof(f564,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c5|~multiply(inverse(X0),sk_c5)=sk_c8|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl|~sQ14_spl|~sQ10_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f512,f517])).
% 0.09/0.40 fof(f565,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c5|~multiply(inverse(X0),sk_c5)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl|~sQ14_spl|~sQ10_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f512,f564])).
% 0.09/0.40 fof(f566,plain,(
% 0.09/0.40 ~multiply(sk_c5,inverse(sk_c5))=sk_c5|~sQ10_spl|~sQ0_spl|~sQ14_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f565,f548])).
% 0.09/0.40 fof(f569,plain,(
% 0.09/0.40 ~inverse(sk_c5)=sk_c5|~sQ10_spl|~sQ0_spl|~sQ14_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f477,f566])).
% 0.09/0.40 fof(f570,definition,(
% 0.09/0.40 sQ29_spl <=> (sk_c5=sk_c5)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f572,plain,(
% 0.09/0.40 ~sk_c5=sk_c5|sQ29_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f570])).
% 0.09/0.40 fof(f582,plain,(
% 0.09/0.40 $false|sQ29_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f572])).
% 0.09/0.40 fof(f583,plain,(
% 0.09/0.40 sQ29_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f582])).
% 0.09/0.40 fof(f589,plain,(
% 0.09/0.40 ~sk_c5=sk_c5|~sQ10_spl|~sQ0_spl|~sQ14_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f527,f569])).
% 0.09/0.40 fof(f590,plain,(
% 0.09/0.40 $false|~sQ10_spl|~sQ0_spl|~sQ14_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f589])).
% 0.09/0.40 fof(f591,plain,(
% 0.09/0.40 ~sQ10_spl|~sQ0_spl|~sQ14_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f590])).
% 0.09/0.40 fof(f650,definition,(
% 0.09/0.40 sQ32_spl <=> (sk_c2=sk_c2)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f652,plain,(
% 0.09/0.40 ~sk_c2=sk_c2|sQ32_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f650])).
% 0.09/0.40 fof(f657,plain,(
% 0.09/0.40 $false|sQ32_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f652])).
% 0.09/0.40 fof(f658,plain,(
% 0.09/0.40 sQ32_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f657])).
% 0.09/0.40 fof(f666,plain,(
% 0.09/0.40 ~sk_c8=sk_c6|~sQ7_spl|~sQ6_spl|sQ21_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f302,f496])).
% 0.09/0.40 fof(f693,plain,(
% 0.09/0.40 multiply(sk_c3,sk_c8)=sk_c6|~sQ7_spl|~sQ6_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f302,f56])).
% 0.09/0.40 fof(f695,plain,(
% 0.09/0.40 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c3,multiply(sk_c8,X0))|~sQ7_spl|~sQ6_spl|~sQ1_spl)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f693,f28])).
% 0.09/0.40 fof(f696,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(sk_c3,multiply(sk_c8,X0))|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f274,f695])).
% 0.09/0.40 fof(f697,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(sk_c3,X0)|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f268,f696])).
% 0.09/0.40 fof(f699,plain,(
% 0.09/0.40 multiply(sk_c2,sk_c6)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f302,f92])).
% 0.09/0.40 fof(f701,plain,(
% 0.09/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c2,multiply(sk_c6,X0))|~sQ7_spl|~sQ6_spl|~sQ8_spl)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f699,f28])).
% 0.09/0.40 fof(f702,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(sk_c2,multiply(sk_c6,X0))|~sQ7_spl|~sQ6_spl|~sQ8_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f268,f701])).
% 0.09/0.40 fof(f703,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(sk_c2,X0)|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f274,f702])).
% 0.09/0.40 fof(f704,plain,(
% 0.09/0.40 sk_c8=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f697,f693])).
% 0.09/0.40 fof(f705,plain,(
% 0.09/0.40 ![X0]: (X0=multiply(inverse(sk_c3),X0)|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f697,f162])).
% 0.09/0.40 fof(f709,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c6)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ10_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f302,f147])).
% 0.09/0.40 fof(f716,plain,(
% 0.09/0.40 inverse(sk_c6)=sk_c6|~sQ7_spl|~sQ6_spl|~sQ1_spl|~sQ0_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f704,f53])).
% 0.09/0.40 fof(f718,plain,(
% 0.09/0.40 ~inverse(sk_c3)=sk_c6|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl|sQ2_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f704,f61])).
% 0.09/0.40 fof(f719,plain,(
% 0.09/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ0_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl)),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f704,f455])).
% 0.09/0.40 fof(f727,plain,(
% 0.09/0.40 sk_c1=sk_c6|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f728,f704])).
% 0.09/0.40 fof(f728,plain,(
% 0.09/0.40 sk_c1=sk_c8|~sQ0_spl|~sQ8_spl|~sQ6_spl|~sQ7_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f703,f304])).
% 0.09/0.40 fof(f729,plain,(
% 0.09/0.40 ~inverse(sk_c3)=sk_c1|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl|sQ2_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f727,f718])).
% 0.09/0.40 fof(f730,plain,(
% 0.09/0.40 inverse(sk_c6)=sk_c1|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl|~sQ0_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f727,f716])).
% 0.09/0.40 fof(f734,plain,(
% 0.09/0.40 sk_c7=sk_c1|~sQ8_spl|~sQ0_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f727,f302])).
% 0.09/0.40 fof(f735,plain,(
% 0.09/0.40 inverse(sk_c1)=sk_c1|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl|~sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f727,f730])).
% 0.09/0.40 fof(f736,plain,(
% 0.09/0.40 sk_c2=sk_c1|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl|~sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f84,f735])).
% 0.09/0.40 fof(f737,plain,(
% 0.09/0.40 sk_c2=sk_c6|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f736,f727])).
% 0.09/0.40 fof(f738,plain,(
% 0.09/0.40 sk_c2=sk_c8|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ6_spl|~sQ7_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f736,f728])).
% 0.09/0.40 fof(f739,plain,(
% 0.09/0.40 inverse(sk_c2)=sk_c2|~sQ8_spl|~sQ6_spl|~sQ1_spl|~sQ0_spl|~sQ7_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f736,f84])).
% 0.09/0.40 fof(f742,plain,(
% 0.09/0.40 sk_c7=sk_c2|~sQ8_spl|~sQ0_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f736,f734])).
% 0.09/0.40 fof(f749,plain,(
% 0.09/0.40 ~inverse(sk_c3)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl|sQ2_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f736,f729])).
% 0.09/0.40 fof(f779,plain,(
% 0.09/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f737,f719])).
% 0.09/0.40 fof(f785,plain,(
% 0.09/0.40 sk_c3=sk_c2|~sQ8_spl|~sQ0_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f779,f705])).
% 0.09/0.40 fof(f791,plain,(
% 0.09/0.40 ~inverse(sk_c2)=sk_c2|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl|sQ2_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f785,f749])).
% 0.09/0.40 fof(f794,plain,(
% 0.09/0.40 ~sk_c2=sk_c2|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl|sQ2_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f739,f791])).
% 0.09/0.40 fof(f795,plain,(
% 0.09/0.40 $false|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl|sQ2_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f794])).
% 0.09/0.40 fof(f796,plain,(
% 0.09/0.40 ~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ1_spl|sQ2_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f795])).
% 0.09/0.40 fof(f800,plain,(
% 0.09/0.40 ~inverse(sk_c6)=sk_c6|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f192,f54])).
% 0.09/0.40 fof(f804,plain,(
% 0.09/0.40 multiply(sk_c3,sk_c6)=sk_c7|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f192,f56])).
% 0.09/0.40 fof(f808,plain,(
% 0.09/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f162,f428])).
% 0.09/0.40 fof(f830,plain,(
% 0.09/0.40 sk_c6=sk_c7|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f336,f201])).
% 0.09/0.40 fof(f831,plain,(
% 0.09/0.40 sk_c5=multiply(inverse(sk_c6),sk_c6)|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f336,f162])).
% 0.09/0.40 fof(f833,plain,(
% 0.09/0.40 sk_c5=identity|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f27,f831])).
% 0.09/0.40 fof(f834,plain,(
% 0.09/0.40 multiply(sk_c3,sk_c6)=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f830,f804])).
% 0.09/0.40 fof(f836,plain,(
% 0.09/0.40 ~sk_c5=sk_c6|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|sQ14_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f830,f155])).
% 0.09/0.40 fof(f837,plain,(
% 0.09/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl)),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f833,f27])).
% 0.09/0.40 fof(f839,plain,(
% 0.09/0.40 ![X0]: (multiply(sk_c5,X0)=X0|~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl)),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f833,f808])).
% 0.09/0.40 fof(f844,plain,(
% 0.09/0.40 multiply(sk_c6,sk_c3)=sk_c5|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f833,f439])).
% 0.09/0.40 fof(f848,plain,(
% 0.09/0.40 multiply(sk_c6,sk_c4)=sk_c5|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f833,f444])).
% 0.09/0.40 fof(f880,plain,(
% 0.09/0.40 sk_c6=multiply(inverse(sk_c8),sk_c6)|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f830,f189])).
% 0.09/0.40 fof(f881,plain,(
% 0.09/0.40 sk_c6=multiply(inverse(sk_c6),sk_c6)|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f192,f880])).
% 0.09/0.40 fof(f882,plain,(
% 0.09/0.40 sk_c6=sk_c5|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f837,f881])).
% 0.09/0.40 fof(f883,plain,(
% 0.09/0.40 $false|sQ14_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f882,f836])).
% 0.09/0.40 fof(f884,plain,(
% 0.09/0.40 sQ14_spl|~sQ5_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f883])).
% 0.09/0.40 fof(f892,plain,(
% 0.09/0.40 ~multiply(sk_c3,sk_c6)=sk_c6|~sQ1_spl|~sQ2_spl|sQ17_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f325,f226])).
% 0.09/0.40 fof(f893,plain,(
% 0.09/0.40 ~sk_c6=sk_c6|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|sQ17_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f834,f892])).
% 0.09/0.40 fof(f894,plain,(
% 0.09/0.40 $false|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|sQ17_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f893])).
% 0.09/0.40 fof(f895,plain,(
% 0.09/0.40 ~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl|sQ17_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f894])).
% 0.09/0.40 fof(f911,plain,(
% 0.09/0.40 multiply(sk_c5,sk_c4)=sk_c5|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f882,f848])).
% 0.09/0.40 fof(f912,plain,(
% 0.09/0.40 multiply(sk_c5,sk_c3)=sk_c5|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f882,f844])).
% 0.09/0.40 fof(f916,plain,(
% 0.09/0.40 inverse(sk_c3)=sk_c5|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f882,f325])).
% 0.09/0.40 fof(f917,plain,(
% 0.09/0.40 ~inverse(sk_c6)=sk_c5|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.09/0.40 inference(backward_demodulation,[status(thm)],[f882,f800])).
% 0.09/0.40 fof(f922,plain,(
% 0.09/0.40 sk_c4=sk_c5|~sQ3_spl|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ5_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f839,f911])).
% 0.09/0.40 fof(f923,plain,(
% 0.09/0.40 sk_c3=sk_c5|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f839,f912])).
% 0.09/0.40 fof(f925,plain,(
% 0.09/0.40 ~inverse(sk_c5)=sk_c5|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f882,f917])).
% 0.09/0.40 fof(f941,plain,(
% 0.09/0.40 sk_c3=sk_c4|~sQ3_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f922,f923])).
% 0.09/0.40 fof(f951,plain,(
% 0.09/0.40 inverse(sk_c4)=sk_c5|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f941,f916])).
% 0.09/0.40 fof(f952,plain,(
% 0.09/0.40 inverse(sk_c4)=sk_c4|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f922,f951])).
% 0.09/0.40 fof(f954,plain,(
% 0.09/0.40 ~inverse(sk_c4)=sk_c5|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f922,f925])).
% 0.09/0.40 fof(f955,plain,(
% 0.09/0.40 ~sk_c4=sk_c5|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f952,f954])).
% 0.09/0.40 fof(f956,plain,(
% 0.09/0.40 ~sk_c4=sk_c4|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f922,f955])).
% 0.09/0.40 fof(f957,plain,(
% 0.09/0.40 $false|~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f956])).
% 0.09/0.40 fof(f958,plain,(
% 0.09/0.40 ~sQ5_spl|~sQ4_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl|sQ0_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f957])).
% 0.09/0.40 fof(f995,plain,(
% 0.09/0.40 sk_c6=sk_c8|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f703,f699])).
% 0.09/0.40 fof(f1040,plain,(
% 0.09/0.40 sk_c2=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f703,f501])).
% 0.09/0.40 fof(f1115,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,sk_c2)=sk_c7|~inverse(X0)=sk_c8|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ6_spl|~sQ7_spl|~sQ11_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f738,f106])).
% 0.09/0.40 fof(f1116,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c8|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ6_spl|~sQ7_spl|~sQ11_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f742,f1115])).
% 0.09/0.40 fof(f1117,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c2|~sQ1_spl|~sQ0_spl|~sQ8_spl|~sQ6_spl|~sQ7_spl|~sQ11_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f738,f1116])).
% 0.09/0.40 fof(f1118,plain,(
% 0.09/0.40 ~inverse(inverse(sk_c2))=sk_c2|~sQ11_spl|~sQ8_spl|~sQ0_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f1117,f779])).
% 0.09/0.40 fof(f1123,plain,(
% 0.09/0.40 ~inverse(sk_c2)=sk_c2|~sQ11_spl|~sQ8_spl|~sQ0_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f739,f1118])).
% 0.09/0.40 fof(f1124,plain,(
% 0.09/0.40 ~sk_c2=sk_c2|~sQ11_spl|~sQ8_spl|~sQ0_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f739,f1123])).
% 0.09/0.40 fof(f1125,plain,(
% 0.09/0.40 $false|~sQ11_spl|~sQ8_spl|~sQ0_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f1124])).
% 0.09/0.40 fof(f1126,plain,(
% 0.09/0.40 ~sQ11_spl|~sQ8_spl|~sQ0_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f1125])).
% 0.09/0.40 fof(f1151,plain,(
% 0.09/0.40 sk_c6=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1040,f995])).
% 0.09/0.40 fof(f1152,plain,(
% 0.09/0.40 sk_c2=identity|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1040,f263])).
% 0.09/0.40 fof(f1154,plain,(
% 0.09/0.40 sk_c7=sk_c2|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1151,f302])).
% 0.09/0.40 fof(f1161,plain,(
% 0.09/0.40 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1152,f27])).
% 0.09/0.40 fof(f1166,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,sk_c2)=sk_c7|~inverse(X0)=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ11_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1040,f106])).
% 0.09/0.40 fof(f1167,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ11_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1154,f1166])).
% 0.09/0.40 fof(f1168,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,sk_c2)=sk_c2|~inverse(X0)=sk_c2|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ11_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1040,f1167])).
% 0.09/0.40 fof(f1171,plain,(
% 0.09/0.40 ~sk_c2=sk_c2|~inverse(sk_c2)=sk_c2|~sQ11_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f703,f1168])).
% 0.09/0.40 fof(f1174,definition,(
% 0.09/0.40 sQ34_spl <=> (inverse(sk_c2)=sk_c2)),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f1176,plain,(
% 0.09/0.40 ~inverse(sk_c2)=sk_c2|sQ34_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f1174])).
% 0.09/0.40 fof(f1177,plain,(
% 0.09/0.40 ~sQ32_spl|~sQ34_spl|~sQ11_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f1171,f650,f1174,f105,f52,f83,f75,f91])).
% 0.09/0.40 fof(f1182,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c2|~multiply(inverse(X0),sk_c6)=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1040,f709])).
% 0.09/0.40 fof(f1183,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c2|~multiply(inverse(X0),sk_c2)=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1151,f1182])).
% 0.09/0.40 fof(f1184,plain,(
% 0.09/0.40 ![X0]: (~multiply(X0,inverse(X0))=sk_c2|~multiply(inverse(X0),sk_c2)=sk_c2|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ10_spl)),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1040,f1183])).
% 0.09/0.40 fof(f1204,plain,(
% 0.09/0.40 inverse(sk_c2)=sk_c6|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1040,f53])).
% 0.09/0.40 fof(f1205,plain,(
% 0.09/0.40 inverse(sk_c2)=sk_c2|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1151,f1204])).
% 0.09/0.40 fof(f1216,plain,(
% 0.09/0.40 ~sk_c2=sk_c2|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ34_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1205,f1176])).
% 0.09/0.40 fof(f1217,plain,(
% 0.09/0.40 $false|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ34_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f1216])).
% 0.09/0.40 fof(f1218,plain,(
% 0.09/0.40 ~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|sQ34_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f1217])).
% 0.09/0.40 fof(f1267,plain,(
% 0.09/0.40 ~multiply(sk_c2,inverse(sk_c2))=sk_c2|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f1184,f1161])).
% 0.09/0.40 fof(f1272,plain,(
% 0.09/0.40 ~inverse(sk_c2)=sk_c2|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f703,f1267])).
% 0.09/0.40 fof(f1273,plain,(
% 0.09/0.40 ~sk_c2=sk_c2|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1205,f1272])).
% 0.09/0.40 fof(f1274,plain,(
% 0.09/0.40 $false|~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f1273])).
% 0.09/0.40 fof(f1275,plain,(
% 0.09/0.40 ~sQ10_spl|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f1274])).
% 0.09/0.40 fof(f1291,plain,(
% 0.09/0.40 ~sk_c2=sk_c6|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ21_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1040,f666])).
% 0.09/0.40 fof(f1292,plain,(
% 0.09/0.40 ~sk_c2=sk_c2|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ21_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1151,f1291])).
% 0.09/0.40 fof(f1293,plain,(
% 0.09/0.40 $false|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ21_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f1292])).
% 0.09/0.40 fof(f1294,plain,(
% 0.09/0.40 ~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ21_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f1293])).
% 0.09/0.40 fof(f1303,plain,(
% 0.09/0.40 ~inverse(inverse(sk_c2))=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ22_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1040,f247])).
% 0.09/0.40 fof(f1304,plain,(
% 0.09/0.40 ~inverse(sk_c2)=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ22_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1205,f1303])).
% 0.09/0.40 fof(f1305,plain,(
% 0.09/0.40 ~sk_c2=sk_c8|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ22_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1205,f1304])).
% 0.09/0.40 fof(f1306,plain,(
% 0.09/0.40 ~sk_c2=sk_c2|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ22_spl),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f1040,f1305])).
% 0.09/0.40 fof(f1307,plain,(
% 0.09/0.40 $false|~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ22_spl),
% 0.09/0.40 inference(trivial_equality_resolution,[status(thm)],[f1306])).
% 0.09/0.40 fof(f1308,plain,(
% 0.09/0.40 ~sQ0_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ22_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f1307])).
% 0.09/0.40 fof(f1309,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,f144,f145,f150,f156,f223,f230,f237,f248,f255,f281,f287,f299,f324,f454,f533,f583,f591,f658,f796,f884,f895,f958,f1126,f1177,f1218,f1275,f1294,f1308])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.063257 seconds
% 0.14/0.43 % CPU time: 0.208903 seconds
% 0.14/0.43 % Total memory used: 104.310 MB
% 0.14/0.43 % Net memory used: 104.002 MB
%------------------------------------------------------------------------------