%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP287-1 : 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 : n019.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 12:36:23 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP287-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n019.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:08:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f1,axiom,(
% 0.14/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f2,axiom,(
% 0.14/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f3,axiom,(
% 0.14/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f4,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f5,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f6,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c3) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f7,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f8,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f9,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f10,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f11,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f12,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f13,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f14,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f15,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f16,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f17,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f18,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f19,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f20,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f21,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c3) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f22,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f23,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f24,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f25,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f26,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f27,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f28,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f29,negated_conjecture,(
% 0.14/0.41 (![X3,X4,X1,X2]: (( multiply(sk_c7,sk_c6) != sk_c5| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c6) != sk_c5| inverse(X4) != sk_c6| multiply(sk_c6,sk_c7) != sk_c5| multiply(X1,sk_c6) != sk_c7| inverse(X1) != sk_c6| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f30,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.41 fof(f31,plain,(
% 0.14/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.41 fof(f32,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.41 fof(f33,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.41 fof(f34,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.41 fof(f35,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c3)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.41 fof(f36,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.41 fof(f37,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.41 fof(f38,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.41 fof(f39,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.41 fof(f40,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.41 fof(f41,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.41 fof(f42,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.41 fof(f43,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.41 fof(f44,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.41 fof(f45,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.41 fof(f46,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.41 fof(f47,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.41 fof(f48,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.41 fof(f49,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.41 fof(f50,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c3)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.41 fof(f51,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.41 fof(f52,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.41 fof(f53,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.41 fof(f54,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.41 fof(f55,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.41 fof(f56,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.41 fof(f57,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.41 fof(f58,plain,(
% 0.14/0.41 ![X2]: (((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(X4,sk_c6)=sk_c5)|~inverse(X4)=sk_c6))|~multiply(sk_c6,sk_c7)=sk_c5)|~multiply(X1,sk_c6)=sk_c7)|~inverse(X1)=sk_c6))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f29])).
% 0.14/0.41 fof(f59,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6|~multiply(sk_c6,sk_c7)=sk_c5|~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f58])).
% 0.14/0.41 fof(f60,definition,(
% 0.14/0.41 sQ0_spl <=> (multiply(sk_c7,sk_c6)=sk_c5)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f61,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c6)=sk_c5|~sQ0_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f60])).
% 0.14/0.41 fof(f62,plain,(
% 0.14/0.41 ~multiply(sk_c7,sk_c6)=sk_c5|sQ0_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f60])).
% 0.14/0.41 fof(f63,definition,(
% 0.14/0.41 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f64,plain,(
% 0.14/0.41 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f63])).
% 0.14/0.41 fof(f65,plain,(
% 0.14/0.41 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f63])).
% 0.14/0.41 fof(f66,plain,(
% 0.14/0.41 sQ0_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.14/0.41 fof(f67,definition,(
% 0.14/0.41 sQ2_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f68,plain,(
% 0.14/0.41 multiply(sk_c3,sk_c6)=sk_c7|~sQ2_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f67])).
% 0.14/0.41 fof(f70,plain,(
% 0.14/0.41 sQ0_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f34,f60,f67])).
% 0.14/0.41 fof(f71,definition,(
% 0.14/0.41 sQ3_spl <=> (inverse(sk_c3)=sk_c6)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f72,plain,(
% 0.14/0.41 inverse(sk_c3)=sk_c6|~sQ3_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f71])).
% 0.14/0.41 fof(f74,plain,(
% 0.14/0.41 sQ0_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f35,f60,f71])).
% 0.14/0.41 fof(f75,definition,(
% 0.14/0.41 sQ4_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f76,plain,(
% 0.14/0.41 inverse(sk_c4)=sk_c6|~sQ4_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f75])).
% 0.14/0.41 fof(f78,plain,(
% 0.14/0.41 sQ0_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f36,f60,f75])).
% 0.14/0.41 fof(f79,definition,(
% 0.14/0.41 sQ5_spl <=> (multiply(sk_c4,sk_c5)=sk_c6)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f80,plain,(
% 0.14/0.41 multiply(sk_c4,sk_c5)=sk_c6|~sQ5_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f79])).
% 0.14/0.41 fof(f82,plain,(
% 0.14/0.41 sQ0_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f37,f60,f79])).
% 0.14/0.41 fof(f83,definition,(
% 0.14/0.41 sQ6_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f84,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c7)=sk_c6|~sQ6_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f83])).
% 0.14/0.41 fof(f86,plain,(
% 0.14/0.41 sQ6_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.14/0.41 fof(f87,plain,(
% 0.14/0.41 sQ6_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.14/0.41 fof(f88,plain,(
% 0.14/0.41 sQ6_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.14/0.41 fof(f89,plain,(
% 0.14/0.41 sQ6_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.14/0.41 fof(f90,plain,(
% 0.14/0.41 sQ6_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.14/0.41 fof(f91,definition,(
% 0.14/0.41 sQ7_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f92,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c7|~sQ7_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f91])).
% 0.14/0.41 fof(f94,plain,(
% 0.14/0.41 sQ7_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.14/0.41 fof(f95,plain,(
% 0.14/0.41 sQ7_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f44,f91,f67])).
% 0.14/0.41 fof(f96,plain,(
% 0.14/0.41 sQ7_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f45,f91,f71])).
% 0.14/0.41 fof(f97,plain,(
% 0.14/0.41 sQ7_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f46,f91,f75])).
% 0.14/0.41 fof(f98,plain,(
% 0.14/0.41 sQ7_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f47,f91,f79])).
% 0.14/0.41 fof(f99,definition,(
% 0.14/0.41 sQ8_spl <=> (multiply(sk_c2,sk_c6)=sk_c5)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f100,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c6)=sk_c5|~sQ8_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f99])).
% 0.14/0.41 fof(f101,plain,(
% 0.14/0.41 ~multiply(sk_c2,sk_c6)=sk_c5|sQ8_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f99])).
% 0.14/0.41 fof(f102,plain,(
% 0.14/0.41 sQ8_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f48,f99,f63])).
% 0.14/0.41 fof(f103,plain,(
% 0.14/0.41 sQ8_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.14/0.41 fof(f104,plain,(
% 0.14/0.41 sQ8_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.14/0.41 fof(f105,plain,(
% 0.14/0.41 sQ8_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.14/0.41 fof(f106,plain,(
% 0.14/0.41 sQ8_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.14/0.41 fof(f107,definition,(
% 0.14/0.41 sQ9_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f108,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c6|~sQ9_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f107])).
% 0.14/0.41 fof(f110,plain,(
% 0.14/0.41 sQ9_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f53,f107,f63])).
% 0.14/0.41 fof(f111,plain,(
% 0.14/0.41 sQ9_spl|sQ2_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.14/0.41 fof(f112,plain,(
% 0.14/0.41 sQ9_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.14/0.41 fof(f113,plain,(
% 0.14/0.41 sQ9_spl|sQ4_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.14/0.41 fof(f114,plain,(
% 0.14/0.41 sQ9_spl|sQ5_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.14/0.41 fof(f115,definition,(
% 0.14/0.41 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f116,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f115])).
% 0.14/0.41 fof(f118,definition,(
% 0.14/0.41 ![X1]: (sQ11_spl <=> (~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f119,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~sQ11_spl)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f118])).
% 0.14/0.41 fof(f121,definition,(
% 0.14/0.41 ![X2]: (sQ12_spl <=> (~multiply(X2,sk_c6)=sk_c7|~inverse(X2)=sk_c6))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f122,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ12_spl)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f121])).
% 0.14/0.41 fof(f124,definition,(
% 0.14/0.41 ![X3]: (sQ13_spl <=> (~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f125,plain,(
% 0.14/0.41 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ13_spl)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f124])).
% 0.14/0.41 fof(f127,plain,(
% 0.14/0.41 ~sQ0_spl|sQ10_spl|sQ11_spl|~sQ1_spl|sQ12_spl|sQ13_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f59,f60,f115,f118,f63,f121,f124])).
% 0.14/0.41 fof(f128,plain,(
% 0.14/0.41 ~inverse(sk_c4)=sk_c6|~sQ13_spl|~sQ5_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f125,f80])).
% 0.14/0.41 fof(f130,plain,(
% 0.14/0.41 ~sk_c6=sk_c6|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f76,f128])).
% 0.14/0.41 fof(f131,plain,(
% 0.14/0.41 $false|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f130])).
% 0.14/0.41 fof(f132,plain,(
% 0.14/0.41 ~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f131])).
% 0.14/0.41 fof(f133,plain,(
% 0.14/0.41 ~inverse(sk_c3)=sk_c6|~sQ12_spl|~sQ2_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f122,f68])).
% 0.14/0.41 fof(f134,plain,(
% 0.14/0.41 ~sk_c5=sk_c7|~inverse(sk_c7)=sk_c6|~sQ12_spl|~sQ0_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f61,f122])).
% 0.14/0.41 fof(f136,plain,(
% 0.14/0.41 ~sk_c5=sk_c7|~inverse(sk_c2)=sk_c6|~sQ12_spl|~sQ8_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f100,f122])).
% 0.14/0.41 fof(f137,plain,(
% 0.14/0.41 ~sk_c6=sk_c6|~sQ3_spl|~sQ12_spl|~sQ2_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f72,f133])).
% 0.14/0.41 fof(f138,plain,(
% 0.14/0.41 $false|~sQ3_spl|~sQ12_spl|~sQ2_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f137])).
% 0.14/0.41 fof(f139,plain,(
% 0.14/0.41 ~sQ3_spl|~sQ12_spl|~sQ2_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f138])).
% 0.14/0.41 fof(f141,plain,(
% 0.14/0.41 ~inverse(sk_c2)=sk_c6|~sQ11_spl|~sQ8_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f119,f100])).
% 0.14/0.41 fof(f142,plain,(
% 0.14/0.41 ~sk_c5=sk_c5|~inverse(sk_c7)=sk_c6|~sQ11_spl|~sQ0_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f61,f119])).
% 0.14/0.41 fof(f143,plain,(
% 0.14/0.41 ~sk_c7=sk_c5|~inverse(sk_c3)=sk_c6|~sQ11_spl|~sQ2_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f68,f119])).
% 0.14/0.41 fof(f145,plain,(
% 0.14/0.41 ~sk_c6=sk_c6|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f108,f141])).
% 0.14/0.41 fof(f146,plain,(
% 0.14/0.41 $false|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f145])).
% 0.14/0.41 fof(f147,plain,(
% 0.14/0.41 ~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f146])).
% 0.14/0.41 fof(f154,plain,(
% 0.14/0.41 ~inverse(sk_c1)=sk_c7|~sQ10_spl|~sQ6_spl),
% 0.14/0.41 inference(resolution,[status(thm)],[f116,f84])).
% 0.14/0.41 fof(f157,plain,(
% 0.14/0.41 ~sk_c7=sk_c7|~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f92,f154])).
% 0.14/0.41 fof(f158,plain,(
% 0.14/0.41 $false|~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f157])).
% 0.14/0.41 fof(f159,plain,(
% 0.14/0.41 ~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f158])).
% 0.14/0.41 fof(f160,definition,(
% 0.14/0.41 sQ14_spl <=> (sk_c6=sk_c6)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f162,plain,(
% 0.14/0.41 ~sk_c6=sk_c6|sQ14_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f160])).
% 0.14/0.41 fof(f164,plain,(
% 0.14/0.41 $false|sQ14_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f162])).
% 0.14/0.41 fof(f165,plain,(
% 0.14/0.41 sQ14_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f164])).
% 0.14/0.41 fof(f177,plain,(
% 0.14/0.41 multiply(sk_c6,sk_c2)=identity|~sQ9_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f108,f31])).
% 0.14/0.41 fof(f179,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.14/0.41 fof(f187,plain,(
% 0.14/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f30,f179])).
% 0.14/0.41 fof(f188,plain,(
% 0.14/0.41 ~sk_c5=sk_c6|~inverse(sk_c6)=sk_c7|~sQ10_spl|~sQ1_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f64,f116])).
% 0.14/0.41 fof(f190,definition,(
% 0.14/0.41 sQ19_spl <=> (sk_c5=sk_c6)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f192,plain,(
% 0.14/0.41 ~sk_c5=sk_c6|sQ19_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f190])).
% 0.14/0.41 fof(f193,definition,(
% 0.14/0.41 sQ20_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f194,plain,(
% 0.14/0.41 inverse(sk_c6)=sk_c7|~sQ20_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f193])).
% 0.14/0.41 fof(f195,plain,(
% 0.14/0.41 ~inverse(sk_c6)=sk_c7|sQ20_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f193])).
% 0.14/0.41 fof(f196,plain,(
% 0.14/0.41 ~sQ19_spl|~sQ20_spl|~sQ10_spl|~sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f188,f190,f193,f115,f63])).
% 0.14/0.41 fof(f225,plain,(
% 0.14/0.41 sk_c6=multiply(inverse(sk_c3),sk_c7)|~sQ2_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f68,f187])).
% 0.14/0.41 fof(f227,plain,(
% 0.14/0.41 sk_c5=multiply(inverse(sk_c4),sk_c6)|~sQ5_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f80,f187])).
% 0.14/0.41 fof(f230,plain,(
% 0.14/0.41 sk_c6=multiply(sk_c6,sk_c7)|~sQ3_spl|~sQ2_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f72,f225])).
% 0.14/0.41 fof(f231,plain,(
% 0.14/0.41 sk_c6=sk_c5|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f64,f230])).
% 0.14/0.41 fof(f232,plain,(
% 0.14/0.41 $false|sQ19_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f231,f192])).
% 0.14/0.41 fof(f233,plain,(
% 0.14/0.41 sQ19_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f232])).
% 0.14/0.41 fof(f235,plain,(
% 0.14/0.41 sk_c5=multiply(sk_c6,sk_c6)|~sQ4_spl|~sQ5_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f76,f227])).
% 0.14/0.41 fof(f239,plain,(
% 0.14/0.41 ~multiply(sk_c7,sk_c5)=sk_c5|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f231,f62])).
% 0.14/0.41 fof(f240,plain,(
% 0.14/0.41 multiply(sk_c5,sk_c2)=identity|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ9_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f231,f177])).
% 0.14/0.41 fof(f244,plain,(
% 0.14/0.41 ~multiply(sk_c2,sk_c5)=sk_c5|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ8_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f231,f101])).
% 0.14/0.41 fof(f245,plain,(
% 0.14/0.41 inverse(sk_c4)=sk_c5|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f231,f76])).
% 0.14/0.41 fof(f246,plain,(
% 0.14/0.41 inverse(sk_c3)=sk_c5|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f231,f72])).
% 0.14/0.41 fof(f248,plain,(
% 0.14/0.41 multiply(sk_c4,sk_c5)=sk_c5|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f231,f80])).
% 0.14/0.41 fof(f262,plain,(
% 0.14/0.41 sk_c5=multiply(sk_c5,sk_c6)|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f231,f235])).
% 0.14/0.41 fof(f263,plain,(
% 0.14/0.41 sk_c5=multiply(sk_c5,sk_c5)|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f231,f262])).
% 0.14/0.41 fof(f264,plain,(
% 0.14/0.41 sk_c5=multiply(inverse(sk_c5),sk_c5)|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f263,f187])).
% 0.14/0.41 fof(f266,plain,(
% 0.14/0.41 sk_c5=identity|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f31,f264])).
% 0.14/0.41 fof(f268,plain,(
% 0.14/0.41 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f266,f31])).
% 0.14/0.41 fof(f269,plain,(
% 0.14/0.41 ![X0]: (multiply(sk_c5,X0)=X0|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f266,f30])).
% 0.14/0.41 fof(f273,plain,(
% 0.14/0.41 sk_c5=sk_c2|~sQ9_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f274,f266])).
% 0.14/0.41 fof(f274,plain,(
% 0.14/0.41 sk_c2=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ9_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f269,f240])).
% 0.14/0.41 fof(f275,plain,(
% 0.14/0.41 ![X0]: (multiply(sk_c2,X0)=X0|~sQ9_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f273,f269])).
% 0.14/0.41 fof(f291,plain,(
% 0.14/0.41 ~sk_c5=sk_c5|~sQ9_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ8_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f275,f244])).
% 0.14/0.41 fof(f292,plain,(
% 0.14/0.41 ~sk_c2=sk_c5|~sQ9_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ8_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f273,f291])).
% 0.14/0.41 fof(f293,plain,(
% 0.14/0.41 ~sk_c2=sk_c2|~sQ9_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ8_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f273,f292])).
% 0.14/0.41 fof(f294,plain,(
% 0.14/0.41 $false|~sQ9_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ8_spl),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f293])).
% 0.14/0.41 fof(f295,plain,(
% 0.14/0.41 ~sQ9_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ8_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f294])).
% 0.14/0.42 fof(f296,definition,(
% 0.14/0.42 sQ21_spl <=> (sk_c5=sk_c7)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f298,plain,(
% 0.14/0.42 ~sk_c5=sk_c7|sQ21_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f296])).
% 0.14/0.42 fof(f299,plain,(
% 0.14/0.42 ~sQ21_spl|~sQ9_spl|~sQ12_spl|~sQ8_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f136,f296,f107,f121,f99])).
% 0.14/0.42 fof(f300,definition,(
% 0.14/0.42 sQ22_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f303,plain,(
% 0.14/0.42 ~sQ21_spl|~sQ22_spl|~sQ12_spl|~sQ0_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f134,f296,f300,f121,f60])).
% 0.14/0.42 fof(f304,definition,(
% 0.14/0.42 sQ23_spl <=> (sk_c7=sk_c7)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f306,plain,(
% 0.14/0.42 ~sk_c7=sk_c7|sQ23_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f304])).
% 0.14/0.42 fof(f308,plain,(
% 0.14/0.42 $false|sQ23_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f306])).
% 0.14/0.42 fof(f309,plain,(
% 0.14/0.42 sQ23_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f308])).
% 0.14/0.42 fof(f315,plain,(
% 0.14/0.42 sk_c6=multiply(inverse(sk_c2),sk_c5)|~sQ8_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f100,f187])).
% 0.14/0.42 fof(f317,plain,(
% 0.14/0.42 sk_c6=multiply(sk_c6,sk_c5)|~sQ9_spl|~sQ8_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f108,f315])).
% 0.14/0.42 fof(f320,plain,(
% 0.14/0.42 sk_c7=multiply(inverse(sk_c1),sk_c6)|~sQ6_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f84,f187])).
% 0.14/0.42 fof(f322,plain,(
% 0.14/0.42 sk_c7=multiply(sk_c7,sk_c6)|~sQ7_spl|~sQ6_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f92,f320])).
% 0.14/0.42 fof(f323,plain,(
% 0.14/0.42 sk_c7=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f61,f322])).
% 0.14/0.42 fof(f324,plain,(
% 0.14/0.42 $false|sQ21_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f323,f298])).
% 0.14/0.42 fof(f325,plain,(
% 0.14/0.42 sQ21_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f324])).
% 0.14/0.42 fof(f327,plain,(
% 0.14/0.42 multiply(sk_c5,sk_c6)=sk_c5|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f323,f61])).
% 0.14/0.42 fof(f330,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c5|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f323,f92])).
% 0.14/0.42 fof(f335,plain,(
% 0.14/0.42 multiply(sk_c6,sk_c2)=identity|~sQ9_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f108,f31])).
% 0.14/0.42 fof(f340,plain,(
% 0.14/0.42 ~multiply(sk_c6,sk_c5)=sk_c5|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f323,f65])).
% 0.14/0.42 fof(f358,plain,(
% 0.14/0.42 ~sk_c6=sk_c5|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f317,f340])).
% 0.14/0.42 fof(f359,plain,(
% 0.14/0.42 sk_c5=multiply(inverse(sk_c6),sk_c6)|~sQ9_spl|~sQ8_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f317,f187])).
% 0.14/0.42 fof(f361,plain,(
% 0.14/0.42 sk_c5=identity|~sQ9_spl|~sQ8_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f31,f359])).
% 0.14/0.42 fof(f366,plain,(
% 0.14/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ9_spl|~sQ8_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f361,f31])).
% 0.14/0.42 fof(f367,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c5,X0)=X0|~sQ9_spl|~sQ8_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f361,f30])).
% 0.14/0.42 fof(f371,plain,(
% 0.14/0.42 sk_c6=sk_c5|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f367,f327])).
% 0.14/0.42 fof(f375,plain,(
% 0.14/0.42 multiply(sk_c5,sk_c1)=sk_c5|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f330,f366])).
% 0.14/0.42 fof(f380,plain,(
% 0.14/0.42 sk_c1=sk_c5|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f367,f375])).
% 0.14/0.42 fof(f422,plain,(
% 0.14/0.42 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c5)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ13_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f371,f125])).
% 0.14/0.42 fof(f423,plain,(
% 0.14/0.42 ![X0]: (~inverse(X0)=sk_c5|~multiply(X0,sk_c5)=sk_c5|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ13_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f371,f422])).
% 0.14/0.42 fof(f425,plain,(
% 0.14/0.42 sk_c6=sk_c1|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f380,f371])).
% 0.14/0.42 fof(f427,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c1,X0)=X0|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f380,f367])).
% 0.14/0.42 fof(f428,plain,(
% 0.14/0.42 sk_c1=identity|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f380,f361])).
% 0.14/0.42 fof(f429,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c1|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f380,f330])).
% 0.14/0.42 fof(f441,plain,(
% 0.14/0.42 multiply(sk_c1,sk_c2)=identity|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f425,f335])).
% 0.14/0.42 fof(f442,plain,(
% 0.14/0.42 sk_c1=sk_c2|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f443,f428])).
% 0.14/0.42 fof(f443,plain,(
% 0.14/0.42 sk_c2=identity|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f427,f441])).
% 0.14/0.42 fof(f444,plain,(
% 0.14/0.42 inverse(sk_c1)=sk_c2|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f442,f429])).
% 0.14/0.42 fof(f445,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c2,X0)=X0|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f442,f427])).
% 0.14/0.42 fof(f450,plain,(
% 0.14/0.42 sk_c6=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f442,f425])).
% 0.14/0.42 fof(f451,plain,(
% 0.14/0.42 sk_c2=sk_c5|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f442,f380])).
% 0.14/0.42 fof(f452,plain,(
% 0.14/0.42 inverse(sk_c2)=sk_c2|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f442,f444])).
% 0.14/0.42 fof(f462,plain,(
% 0.14/0.42 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c5)=sk_c5|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ13_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f451,f423])).
% 0.14/0.42 fof(f463,plain,(
% 0.14/0.42 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c2)=sk_c5|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ13_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f451,f462])).
% 0.14/0.42 fof(f464,plain,(
% 0.14/0.42 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c2)=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ13_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f451,f463])).
% 0.14/0.42 fof(f465,plain,(
% 0.14/0.42 ~inverse(sk_c2)=sk_c2|~sQ13_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.42 inference(resolution,[status(thm)],[f464,f445])).
% 0.14/0.42 fof(f470,plain,(
% 0.14/0.42 ~sk_c2=sk_c2|~sQ13_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f452,f465])).
% 0.14/0.42 fof(f471,plain,(
% 0.14/0.42 $false|~sQ13_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f470])).
% 0.14/0.42 fof(f472,plain,(
% 0.14/0.42 ~sQ13_spl|~sQ0_spl|~sQ6_spl|~sQ7_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f471])).
% 0.14/0.42 fof(f473,plain,(
% 0.14/0.42 ~sQ21_spl|~sQ3_spl|~sQ11_spl|~sQ2_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f143,f296,f71,f118,f67])).
% 0.14/0.42 fof(f474,definition,(
% 0.14/0.42 sQ24_spl <=> (sk_c5=sk_c5)),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.42 fof(f476,plain,(
% 0.14/0.42 ~sk_c5=sk_c5|sQ24_spl),
% 0.14/0.42 inference(component_clause,[status(thm)],[f474])).
% 0.14/0.42 fof(f477,plain,(
% 0.14/0.42 ~sQ24_spl|~sQ22_spl|~sQ11_spl|~sQ0_spl),
% 0.14/0.42 inference(split_clause,[status(thm)],[f142,f474,f300,f118,f60])).
% 0.14/0.42 fof(f480,plain,(
% 0.14/0.42 ~sk_c2=sk_c5|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f450,f358])).
% 0.14/0.42 fof(f481,plain,(
% 0.14/0.42 ~sk_c2=sk_c2|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f451,f480])).
% 0.14/0.42 fof(f482,plain,(
% 0.14/0.42 $false|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f481])).
% 0.14/0.42 fof(f483,plain,(
% 0.14/0.42 ~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f482])).
% 0.14/0.42 fof(f484,plain,(
% 0.14/0.42 $false|sQ24_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f476])).
% 0.14/0.42 fof(f485,plain,(
% 0.14/0.42 sQ24_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f484])).
% 0.14/0.42 fof(f487,plain,(
% 0.14/0.42 ![X0,X1]: (multiply(sk_c5,X0)=multiply(inverse(X1),multiply(X1,X0))|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f268,f32])).
% 0.14/0.42 fof(f488,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c5,X0)=X0|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f187,f487])).
% 0.14/0.42 fof(f491,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c5,X0)=X0|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f266,f30])).
% 0.14/0.42 fof(f496,plain,(
% 0.14/0.42 multiply(sk_c5,sk_c3)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f246,f268])).
% 0.14/0.42 fof(f498,plain,(
% 0.14/0.42 sk_c3=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f491,f496])).
% 0.14/0.42 fof(f503,plain,(
% 0.14/0.42 inverse(sk_c4)=sk_c3|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f498,f245])).
% 0.14/0.42 fof(f505,plain,(
% 0.14/0.42 sk_c6=sk_c3|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f498,f231])).
% 0.14/0.42 fof(f506,plain,(
% 0.14/0.42 sk_c3=identity|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f498,f266])).
% 0.14/0.42 fof(f507,plain,(
% 0.14/0.42 inverse(sk_c3)=sk_c3|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f505,f72])).
% 0.14/0.42 fof(f509,plain,(
% 0.14/0.42 ~inverse(sk_c3)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ20_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f505,f195])).
% 0.14/0.42 fof(f510,plain,(
% 0.14/0.42 ~sk_c3=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ20_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f507,f509])).
% 0.14/0.42 fof(f513,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c3,X0)=X0|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f498,f488])).
% 0.14/0.42 fof(f517,plain,(
% 0.14/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c3|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ5_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f506,f31])).
% 0.14/0.42 fof(f522,plain,(
% 0.14/0.42 multiply(sk_c4,sk_c3)=sk_c5|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f498,f248])).
% 0.14/0.42 fof(f523,plain,(
% 0.14/0.42 multiply(sk_c4,sk_c3)=sk_c3|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f498,f522])).
% 0.14/0.42 fof(f525,plain,(
% 0.14/0.42 ![X0]: (multiply(sk_c3,X0)=multiply(sk_c4,multiply(sk_c3,X0))|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl)),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f523,f32])).
% 0.14/0.42 fof(f526,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(sk_c4,multiply(sk_c3,X0))|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f513,f525])).
% 0.14/0.42 fof(f527,plain,(
% 0.14/0.42 ![X0]: (X0=multiply(sk_c4,X0)|~sQ4_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ5_spl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f513,f526])).
% 0.14/0.42 fof(f530,plain,(
% 0.14/0.42 multiply(sk_c3,sk_c4)=sk_c3|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.14/0.42 inference(paramodulation,[status(thm)],[f503,f517])).
% 0.14/0.42 fof(f532,plain,(
% 0.14/0.42 sk_c4=sk_c3|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f513,f530])).
% 0.14/0.42 fof(f534,plain,(
% 0.14/0.42 inverse(sk_c4)=sk_c4|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ4_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f532,f503])).
% 0.14/0.42 fof(f539,plain,(
% 0.14/0.42 ~sk_c4=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ20_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f532,f510])).
% 0.14/0.42 fof(f542,plain,(
% 0.14/0.42 sk_c6=sk_c4|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f532,f505])).
% 0.14/0.42 fof(f543,plain,(
% 0.14/0.42 sk_c4=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f532,f498])).
% 0.14/0.42 fof(f559,plain,(
% 0.14/0.42 multiply(sk_c4,sk_c7)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f542,f64])).
% 0.14/0.42 fof(f560,plain,(
% 0.14/0.42 sk_c7=sk_c5|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f527,f559])).
% 0.14/0.42 fof(f561,plain,(
% 0.14/0.42 sk_c7=sk_c4|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f543,f560])).
% 0.14/0.42 fof(f562,plain,(
% 0.14/0.42 $false|sQ20_spl|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f561,f539])).
% 0.14/0.42 fof(f563,plain,(
% 0.14/0.42 sQ20_spl|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f562])).
% 0.14/0.42 fof(f569,plain,(
% 0.14/0.42 ~sk_c4=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ21_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f543,f298])).
% 0.14/0.42 fof(f570,plain,(
% 0.14/0.42 inverse(sk_c4)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ20_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f542,f194])).
% 0.14/0.42 fof(f571,plain,(
% 0.14/0.42 sk_c4=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|~sQ20_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f534,f570])).
% 0.14/0.42 fof(f572,plain,(
% 0.14/0.42 $false|sQ21_spl|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f561,f569])).
% 0.14/0.42 fof(f573,plain,(
% 0.14/0.42 sQ21_spl|~sQ4_spl|~sQ5_spl|~sQ3_spl|~sQ2_spl|~sQ1_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f572])).
% 0.14/0.42 fof(f574,plain,(
% 0.14/0.42 ~multiply(sk_c7,sk_c4)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f543,f239])).
% 0.14/0.42 fof(f575,plain,(
% 0.14/0.42 ~multiply(sk_c7,sk_c4)=sk_c4|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f543,f574])).
% 0.14/0.42 fof(f627,plain,(
% 0.14/0.42 ~multiply(sk_c4,sk_c4)=sk_c4|~sQ20_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f571,f575])).
% 0.14/0.42 fof(f628,plain,(
% 0.14/0.42 ~sk_c4=sk_c4|~sQ20_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f527,f627])).
% 0.14/0.42 fof(f629,plain,(
% 0.14/0.42 $false|~sQ20_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.14/0.42 inference(trivial_equality_resolution,[status(thm)],[f628])).
% 0.14/0.42 fof(f630,plain,(
% 0.14/0.42 ~sQ20_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl|sQ0_spl),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f629])).
% 0.14/0.42 fof(f631,plain,(
% 0.14/0.42 $false),
% 0.14/0.42 inference(sat_refutation,[status(thm)],[f66,f70,f74,f78,f82,f86,f87,f88,f89,f90,f94,f95,f96,f97,f98,f102,f103,f104,f105,f106,f110,f111,f112,f113,f114,f127,f132,f139,f147,f159,f165,f196,f233,f295,f299,f303,f309,f325,f472,f473,f477,f483,f485,f563,f573,f630])).
% 0.14/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.44 % Elapsed time: 0.070414 seconds
% 0.14/0.44 % CPU time: 0.232770 seconds
% 0.14/0.44 % Total memory used: 65.632 MB
% 0.14/0.44 % Net memory used: 65.505 MB
%------------------------------------------------------------------------------