%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP272-1 : 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 : n007.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 12:36:22 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP272-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:06:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,axiom,(
% 0.13/0.37 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f2,axiom,(
% 0.13/0.37 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f3,axiom,(
% 0.13/0.37 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f4,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f5,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f6,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f7,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f8,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f9,negated_conjecture,(
% 0.13/0.37 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f10,negated_conjecture,(
% 0.13/0.37 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f11,negated_conjecture,(
% 0.13/0.37 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f12,negated_conjecture,(
% 0.13/0.37 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f13,negated_conjecture,(
% 0.13/0.37 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f14,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f15,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f16,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f17,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c7,sk_c5) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f18,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c7,sk_c5) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f19,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f20,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f21,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f22,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c2,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f23,negated_conjecture,(
% 0.13/0.37 ( multiply(sk_c2,sk_c6) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f24,negated_conjecture,(
% 0.13/0.37 ( inverse(sk_c2) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f25,negated_conjecture,(
% 0.13/0.37 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f26,negated_conjecture,(
% 0.13/0.37 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f27,negated_conjecture,(
% 0.13/0.37 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f28,negated_conjecture,(
% 0.13/0.37 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f29,negated_conjecture,(
% 0.13/0.37 (![X3,X4,X1,X2]: (( multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(sk_c7,sk_c5) != sk_c6| multiply(X4,sk_c6) != sk_c5| inverse(X4) != sk_c6| multiply(sk_c6,sk_c7) != sk_c5| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f30,plain,(
% 0.13/0.37 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.37 fof(f31,plain,(
% 0.13/0.37 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.37 fof(f32,plain,(
% 0.13/0.37 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f33,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f34,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f35,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.38 fof(f36,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.38 fof(f37,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.38 fof(f38,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.38 fof(f39,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.38 fof(f40,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.38 fof(f41,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.38 fof(f42,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.38 fof(f43,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.38 fof(f44,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.38 fof(f45,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f46,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c5)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.38 fof(f47,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c5)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.38 fof(f48,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.38 fof(f49,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.38 fof(f50,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.38 fof(f51,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.38 fof(f52,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c6)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.38 fof(f53,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.38 fof(f54,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.38 fof(f55,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.38 fof(f56,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.38 fof(f57,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.38 fof(f58,plain,(
% 0.13/0.38 ![X2]: (((![X1]: ((((![X4]: ((((![X3]: (~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7))|~multiply(sk_c7,sk_c5)=sk_c6)|~multiply(X4,sk_c6)=sk_c5)|~inverse(X4)=sk_c6))|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f29])).
% 0.13/0.38 fof(f59,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(sk_c7,sk_c5)=sk_c6|~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f58])).
% 0.13/0.38 fof(f60,definition,(
% 0.13/0.38 sQ0_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f61,plain,(
% 0.13/0.38 multiply(sk_c1,sk_c7)=sk_c6|~sQ0_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f60])).
% 0.13/0.38 fof(f63,definition,(
% 0.13/0.38 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f64,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f63])).
% 0.13/0.38 fof(f65,plain,(
% 0.13/0.38 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f63])).
% 0.13/0.38 fof(f66,plain,(
% 0.13/0.38 sQ0_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.13/0.38 fof(f67,definition,(
% 0.13/0.38 sQ2_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f68,plain,(
% 0.13/0.38 inverse(sk_c3)=sk_c7|~sQ2_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f67])).
% 0.13/0.38 fof(f70,plain,(
% 0.13/0.38 sQ0_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f34,f60,f67])).
% 0.13/0.38 fof(f71,definition,(
% 0.13/0.38 sQ3_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f72,plain,(
% 0.13/0.38 multiply(sk_c3,sk_c6)=sk_c7|~sQ3_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f71])).
% 0.13/0.38 fof(f74,plain,(
% 0.13/0.38 sQ0_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f35,f60,f71])).
% 0.13/0.38 fof(f75,definition,(
% 0.13/0.38 sQ4_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f76,plain,(
% 0.13/0.38 inverse(sk_c4)=sk_c6|~sQ4_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f75])).
% 0.13/0.38 fof(f78,plain,(
% 0.13/0.38 sQ0_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f36,f60,f75])).
% 0.13/0.38 fof(f79,definition,(
% 0.13/0.38 sQ5_spl <=> (multiply(sk_c4,sk_c5)=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f80,plain,(
% 0.13/0.38 multiply(sk_c4,sk_c5)=sk_c6|~sQ5_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f79])).
% 0.13/0.38 fof(f82,plain,(
% 0.13/0.38 sQ0_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f37,f60,f79])).
% 0.13/0.38 fof(f83,definition,(
% 0.13/0.38 sQ6_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f84,plain,(
% 0.13/0.38 inverse(sk_c1)=sk_c7|~sQ6_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f83])).
% 0.13/0.38 fof(f86,plain,(
% 0.13/0.38 sQ6_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.13/0.38 fof(f87,plain,(
% 0.13/0.38 sQ6_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.13/0.38 fof(f88,plain,(
% 0.13/0.38 sQ6_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.13/0.38 fof(f89,plain,(
% 0.13/0.38 sQ6_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.13/0.38 fof(f90,plain,(
% 0.13/0.38 sQ6_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.13/0.38 fof(f91,definition,(
% 0.13/0.38 sQ7_spl <=> (multiply(sk_c7,sk_c5)=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f92,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c5)=sk_c6|~sQ7_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f91])).
% 0.13/0.38 fof(f93,plain,(
% 0.13/0.38 ~multiply(sk_c7,sk_c5)=sk_c6|sQ7_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f91])).
% 0.13/0.38 fof(f94,plain,(
% 0.13/0.38 sQ7_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.13/0.38 fof(f95,plain,(
% 0.13/0.38 sQ7_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f44,f91,f67])).
% 0.13/0.38 fof(f96,plain,(
% 0.13/0.38 sQ7_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f45,f91,f71])).
% 0.13/0.38 fof(f97,plain,(
% 0.13/0.38 sQ7_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f46,f91,f75])).
% 0.13/0.38 fof(f98,plain,(
% 0.13/0.38 sQ7_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f47,f91,f79])).
% 0.13/0.38 fof(f99,definition,(
% 0.13/0.38 sQ8_spl <=> (multiply(sk_c2,sk_c6)=sk_c5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f100,plain,(
% 0.13/0.38 multiply(sk_c2,sk_c6)=sk_c5|~sQ8_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f99])).
% 0.13/0.38 fof(f102,plain,(
% 0.13/0.38 sQ8_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f48,f99,f63])).
% 0.13/0.38 fof(f103,plain,(
% 0.13/0.38 sQ8_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.13/0.38 fof(f104,plain,(
% 0.13/0.38 sQ8_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.13/0.38 fof(f105,plain,(
% 0.13/0.38 sQ8_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.13/0.38 fof(f106,plain,(
% 0.13/0.38 sQ8_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.13/0.38 fof(f107,definition,(
% 0.13/0.38 sQ9_spl <=> (inverse(sk_c2)=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f108,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c6|~sQ9_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f107])).
% 0.13/0.38 fof(f110,plain,(
% 0.13/0.38 sQ9_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f53,f107,f63])).
% 0.13/0.38 fof(f111,plain,(
% 0.13/0.38 sQ9_spl|sQ2_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.13/0.38 fof(f112,plain,(
% 0.13/0.38 sQ9_spl|sQ3_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.13/0.38 fof(f113,plain,(
% 0.13/0.38 sQ9_spl|sQ4_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.13/0.38 fof(f114,plain,(
% 0.13/0.38 sQ9_spl|sQ5_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.13/0.38 fof(f115,definition,(
% 0.13/0.38 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f116,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f115])).
% 0.13/0.38 fof(f118,definition,(
% 0.13/0.38 ![X1]: (sQ11_spl <=> (~multiply(X1,sk_c6)=sk_c5|~inverse(X1)=sk_c6))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f119,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~sQ11_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f118])).
% 0.13/0.38 fof(f121,definition,(
% 0.13/0.38 ![X2]: (sQ12_spl <=> (~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f122,plain,(
% 0.13/0.38 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ12_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f121])).
% 0.13/0.38 fof(f124,definition,(
% 0.13/0.38 ![X3]: (sQ13_spl <=> (~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f125,plain,(
% 0.13/0.38 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ13_spl)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f124])).
% 0.13/0.38 fof(f127,plain,(
% 0.13/0.38 sQ10_spl|~sQ7_spl|sQ11_spl|~sQ1_spl|sQ12_spl|sQ13_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f59,f115,f91,f118,f63,f121,f124])).
% 0.13/0.38 fof(f129,plain,(
% 0.13/0.38 ~inverse(sk_c4)=sk_c6|~sQ13_spl|~sQ5_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f125,f80])).
% 0.13/0.38 fof(f130,plain,(
% 0.13/0.38 ~inverse(sk_c7)=sk_c6|~sk_c6=sk_c6|~sQ13_spl|~sQ7_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f92,f125])).
% 0.13/0.38 fof(f132,plain,(
% 0.13/0.38 ~sk_c6=sk_c6|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f76,f129])).
% 0.13/0.38 fof(f133,plain,(
% 0.13/0.38 $false|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f132])).
% 0.13/0.38 fof(f134,plain,(
% 0.13/0.38 ~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f133])).
% 0.13/0.38 fof(f135,plain,(
% 0.13/0.38 ~inverse(sk_c3)=sk_c7|~sQ12_spl|~sQ3_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f122,f72])).
% 0.13/0.38 fof(f137,plain,(
% 0.13/0.38 ~inverse(sk_c2)=sk_c7|~sk_c5=sk_c7|~sQ12_spl|~sQ8_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f100,f122])).
% 0.13/0.38 fof(f138,plain,(
% 0.13/0.38 ~sk_c7=sk_c7|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f68,f135])).
% 0.13/0.38 fof(f139,plain,(
% 0.13/0.38 $false|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f138])).
% 0.13/0.38 fof(f140,plain,(
% 0.13/0.38 ~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f139])).
% 0.13/0.38 fof(f141,plain,(
% 0.13/0.38 ~inverse(sk_c2)=sk_c6|~sQ11_spl|~sQ8_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f119,f100])).
% 0.13/0.38 fof(f144,plain,(
% 0.13/0.38 ~sk_c6=sk_c6|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f108,f141])).
% 0.13/0.38 fof(f145,plain,(
% 0.13/0.38 $false|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f144])).
% 0.13/0.38 fof(f146,plain,(
% 0.13/0.38 ~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f145])).
% 0.13/0.38 fof(f153,plain,(
% 0.13/0.38 ~inverse(sk_c1)=sk_c7|~sQ10_spl|~sQ0_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f116,f61])).
% 0.13/0.38 fof(f156,plain,(
% 0.13/0.38 ~sk_c7=sk_c7|~sQ6_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f84,f153])).
% 0.13/0.38 fof(f157,plain,(
% 0.13/0.38 $false|~sQ6_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f156])).
% 0.13/0.38 fof(f158,plain,(
% 0.13/0.38 ~sQ6_spl|~sQ10_spl|~sQ0_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f157])).
% 0.13/0.38 fof(f159,definition,(
% 0.13/0.38 sQ14_spl <=> (sk_c6=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f161,plain,(
% 0.13/0.38 ~sk_c6=sk_c6|sQ14_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f159])).
% 0.13/0.38 fof(f163,plain,(
% 0.13/0.38 $false|sQ14_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f161])).
% 0.13/0.38 fof(f164,plain,(
% 0.13/0.38 sQ14_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f163])).
% 0.13/0.38 fof(f165,plain,(
% 0.13/0.38 ~sk_c7=sk_c6|~inverse(identity)=sk_c7|~sQ10_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f30,f116])).
% 0.13/0.38 fof(f167,definition,(
% 0.13/0.38 sQ15_spl <=> (sk_c7=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f168,plain,(
% 0.13/0.38 sk_c7=sk_c6|~sQ15_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f167])).
% 0.13/0.38 fof(f169,plain,(
% 0.13/0.38 ~sk_c7=sk_c6|sQ15_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f167])).
% 0.13/0.38 fof(f170,definition,(
% 0.13/0.38 sQ16_spl <=> (inverse(identity)=sk_c7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f172,plain,(
% 0.13/0.38 ~inverse(identity)=sk_c7|sQ16_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f170])).
% 0.13/0.38 fof(f173,plain,(
% 0.13/0.38 ~sQ15_spl|~sQ16_spl|~sQ10_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f165,f167,f170,f115])).
% 0.13/0.38 fof(f174,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c4)=identity|~sQ4_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f76,f31])).
% 0.13/0.38 fof(f176,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c2)=identity|~sQ9_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f108,f31])).
% 0.13/0.38 fof(f178,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.13/0.38 fof(f186,plain,(
% 0.13/0.38 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f30,f178])).
% 0.13/0.38 fof(f188,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~sQ1_spl)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f64,f32])).
% 0.13/0.38 fof(f196,plain,(
% 0.13/0.38 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c4,X0))|~sQ4_spl)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f174,f32])).
% 0.13/0.38 fof(f197,plain,(
% 0.13/0.38 ![X0]: (X0=multiply(sk_c6,multiply(sk_c4,X0))|~sQ4_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f30,f196])).
% 0.13/0.38 fof(f223,plain,(
% 0.13/0.38 sk_c6=multiply(inverse(sk_c3),sk_c7)|~sQ3_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f72,f186])).
% 0.13/0.38 fof(f225,plain,(
% 0.13/0.38 sk_c5=multiply(inverse(sk_c4),sk_c6)|~sQ5_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f80,f186])).
% 0.13/0.38 fof(f228,plain,(
% 0.13/0.38 sk_c6=multiply(sk_c7,sk_c7)|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f68,f223])).
% 0.13/0.38 fof(f230,plain,(
% 0.13/0.38 sk_c5=multiply(sk_c6,sk_c6)|~sQ4_spl|~sQ5_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f76,f225])).
% 0.13/0.38 fof(f253,plain,(
% 0.13/0.38 multiply(sk_c5,sk_c7)=multiply(sk_c6,sk_c6)|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f228,f188])).
% 0.13/0.38 fof(f258,plain,(
% 0.13/0.38 multiply(sk_c5,sk_c7)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f230,f253])).
% 0.13/0.38 fof(f268,plain,(
% 0.13/0.38 sk_c7=multiply(inverse(sk_c5),sk_c5)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f258,f186])).
% 0.13/0.38 fof(f271,plain,(
% 0.13/0.38 sk_c7=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f31,f268])).
% 0.13/0.38 fof(f277,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f271,f31])).
% 0.13/0.38 fof(f278,plain,(
% 0.13/0.38 ~inverse(sk_c7)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ16_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f271,f172])).
% 0.13/0.38 fof(f279,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c7,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f271,f30])).
% 0.13/0.38 fof(f281,plain,(
% 0.13/0.38 sk_c6=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f279,f228])).
% 0.13/0.38 fof(f282,plain,(
% 0.13/0.38 ~sk_c5=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ7_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f279,f93])).
% 0.13/0.38 fof(f287,plain,(
% 0.13/0.38 $false|sQ15_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f281,f169])).
% 0.13/0.38 fof(f288,plain,(
% 0.13/0.38 sQ15_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f287])).
% 0.13/0.38 fof(f289,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c6,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f281,f279])).
% 0.13/0.38 fof(f297,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f281,f277])).
% 0.13/0.38 fof(f301,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(sk_c6,X0)=multiply(inverse(X1),multiply(X1,X0))|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f297,f32])).
% 0.13/0.38 fof(f302,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c6,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f186,f301])).
% 0.13/0.38 fof(f304,plain,(
% 0.13/0.38 ![X0]: (X0=multiply(sk_c4,X0)|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f289,f197])).
% 0.13/0.38 fof(f305,plain,(
% 0.13/0.38 sk_c5=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f289,f230])).
% 0.13/0.38 fof(f309,plain,(
% 0.13/0.38 $false|sQ7_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f305,f282])).
% 0.13/0.38 fof(f310,plain,(
% 0.13/0.38 sQ7_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f309])).
% 0.13/0.38 fof(f311,plain,(
% 0.13/0.38 ~inverse(sk_c6)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ16_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f281,f278])).
% 0.13/0.38 fof(f312,plain,(
% 0.13/0.38 ~inverse(sk_c6)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ16_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f281,f311])).
% 0.13/0.38 fof(f314,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c5)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f281,f92])).
% 0.13/0.38 fof(f315,plain,(
% 0.13/0.38 sk_c5=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f289,f314])).
% 0.13/0.38 fof(f325,definition,(
% 0.13/0.38 sQ21_spl <=> (sk_c7=sk_c5)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f327,plain,(
% 0.13/0.38 ~sk_c7=sk_c5|sQ21_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f325])).
% 0.13/0.38 fof(f334,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f315,f297])).
% 0.13/0.38 fof(f338,plain,(
% 0.13/0.38 inverse(sk_c4)=sk_c5|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl|~sQ4_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f315,f76])).
% 0.13/0.38 fof(f348,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c5,X0)=X0|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f315,f302])).
% 0.13/0.38 fof(f357,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl|~sQ11_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f315,f119])).
% 0.13/0.38 fof(f358,plain,(
% 0.13/0.38 ![X0]: (~multiply(X0,sk_c5)=sk_c5|~inverse(X0)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl|~sQ11_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f315,f357])).
% 0.13/0.38 fof(f360,plain,(
% 0.13/0.38 ~inverse(sk_c4)=sk_c5|~sQ7_spl|~sQ11_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f358,f304])).
% 0.13/0.38 fof(f368,plain,(
% 0.13/0.38 ~sk_c5=sk_c5|~sQ7_spl|~sQ11_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f338,f360])).
% 0.13/0.38 fof(f369,plain,(
% 0.13/0.38 $false|~sQ7_spl|~sQ11_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f368])).
% 0.13/0.38 fof(f370,plain,(
% 0.13/0.38 ~sQ7_spl|~sQ11_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f369])).
% 0.13/0.38 fof(f371,plain,(
% 0.13/0.38 ~inverse(sk_c5)=sk_c6|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ16_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f315,f312])).
% 0.13/0.38 fof(f372,plain,(
% 0.13/0.38 ~inverse(sk_c5)=sk_c5|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ16_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f315,f371])).
% 0.13/0.38 fof(f384,plain,(
% 0.13/0.38 multiply(sk_c5,sk_c4)=sk_c5|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl|~sQ4_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f338,f334])).
% 0.13/0.38 fof(f388,plain,(
% 0.13/0.38 sk_c4=sk_c5|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl|~sQ4_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f348,f384])).
% 0.13/0.38 fof(f392,plain,(
% 0.13/0.38 inverse(sk_c4)=sk_c4|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl|~sQ4_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f388,f338])).
% 0.13/0.38 fof(f405,definition,(
% 0.13/0.38 sQ23_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f407,plain,(
% 0.13/0.38 ~inverse(sk_c2)=sk_c7|sQ23_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f405])).
% 0.13/0.38 fof(f408,plain,(
% 0.13/0.38 ~sQ23_spl|~sQ21_spl|~sQ12_spl|~sQ8_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f137,f405,f325,f121,f99])).
% 0.13/0.38 fof(f413,plain,(
% 0.13/0.38 ~sk_c6=sk_c7|~sQ9_spl|sQ23_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f108,f407])).
% 0.13/0.38 fof(f414,plain,(
% 0.13/0.38 sk_c6=multiply(inverse(sk_c2),sk_c5)|~sQ8_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f100,f186])).
% 0.13/0.38 fof(f416,plain,(
% 0.13/0.38 sk_c6=multiply(sk_c6,sk_c5)|~sQ9_spl|~sQ8_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f108,f414])).
% 0.13/0.38 fof(f434,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c1)=identity|~sQ6_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f84,f31])).
% 0.13/0.38 fof(f441,plain,(
% 0.13/0.38 sk_c7=multiply(inverse(sk_c1),sk_c6)|~sQ0_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f61,f186])).
% 0.13/0.38 fof(f443,plain,(
% 0.13/0.38 sk_c7=multiply(sk_c7,sk_c6)|~sQ6_spl|~sQ0_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f84,f441])).
% 0.13/0.38 fof(f444,plain,(
% 0.13/0.38 sk_c5=multiply(inverse(sk_c6),sk_c6)|~sQ9_spl|~sQ8_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f416,f186])).
% 0.13/0.38 fof(f446,plain,(
% 0.13/0.38 sk_c5=identity|~sQ9_spl|~sQ8_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f31,f444])).
% 0.13/0.38 fof(f449,plain,(
% 0.13/0.38 multiply(sk_c6,sk_c2)=sk_c5|~sQ8_spl|~sQ9_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f446,f176])).
% 0.13/0.38 fof(f468,plain,(
% 0.13/0.38 ~inverse(sk_c7)=sk_c7|~sk_c7=sk_c7|~sQ12_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f443,f122])).
% 0.13/0.38 fof(f476,definition,(
% 0.13/0.38 sQ25_spl <=> (inverse(sk_c7)=sk_c7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f479,definition,(
% 0.13/0.38 sQ26_spl <=> (sk_c7=sk_c7)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f481,plain,(
% 0.13/0.38 ~sk_c7=sk_c7|sQ26_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f479])).
% 0.13/0.38 fof(f482,plain,(
% 0.13/0.38 ~sQ25_spl|~sQ26_spl|~sQ12_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f468,f476,f479,f121,f83,f60])).
% 0.13/0.38 fof(f494,definition,(
% 0.13/0.38 sQ28_spl <=> (inverse(sk_c7)=sk_c6)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f496,plain,(
% 0.13/0.38 ~inverse(sk_c7)=sk_c6|sQ28_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f494])).
% 0.13/0.38 fof(f497,plain,(
% 0.13/0.38 ~sQ28_spl|~sQ14_spl|~sQ13_spl|~sQ7_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f130,f494,f159,f124,f91])).
% 0.13/0.38 fof(f613,plain,(
% 0.13/0.38 ~inverse(sk_c4)=sk_c5|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ16_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f388,f372])).
% 0.13/0.38 fof(f614,plain,(
% 0.13/0.38 ~inverse(sk_c4)=sk_c4|~sQ7_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ16_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f388,f613])).
% 0.13/0.38 fof(f629,plain,(
% 0.13/0.38 $false|sQ16_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl|~sQ4_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f392,f614])).
% 0.13/0.38 fof(f630,plain,(
% 0.13/0.38 sQ16_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ7_spl|~sQ4_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f629])).
% 0.13/0.38 fof(f631,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c5,X0)=X0|~sQ9_spl|~sQ8_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f446,f30])).
% 0.13/0.38 fof(f646,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ9_spl|~sQ8_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f446,f31])).
% 0.13/0.38 fof(f683,plain,(
% 0.13/0.38 sk_c6=multiply(inverse(sk_c7),sk_c7)|~sQ6_spl|~sQ0_spl),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f443,f186])).
% 0.13/0.38 fof(f686,plain,(
% 0.13/0.38 sk_c6=sk_c5|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f646,f683])).
% 0.13/0.38 fof(f707,plain,(
% 0.13/0.38 multiply(sk_c5,sk_c2)=sk_c5|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f686,f449])).
% 0.13/0.38 fof(f711,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c5)=sk_c5|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f686,f92])).
% 0.13/0.38 fof(f712,plain,(
% 0.13/0.38 multiply(sk_c5,sk_c7)=sk_c5|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ1_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f686,f64])).
% 0.13/0.38 fof(f713,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c5|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f686,f108])).
% 0.13/0.38 fof(f714,plain,(
% 0.13/0.38 ~sk_c7=sk_c5|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ15_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f686,f169])).
% 0.13/0.38 fof(f716,plain,(
% 0.13/0.38 sk_c2=sk_c5|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f631,f707])).
% 0.13/0.38 fof(f718,plain,(
% 0.13/0.38 sk_c7=sk_c5|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f631,f712])).
% 0.13/0.38 fof(f719,plain,(
% 0.13/0.38 $false|sQ21_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ1_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f718,f327])).
% 0.13/0.38 fof(f720,plain,(
% 0.13/0.38 sQ21_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ1_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f719])).
% 0.13/0.38 fof(f721,plain,(
% 0.13/0.38 ~inverse(sk_c7)=sk_c5|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ28_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f686,f496])).
% 0.13/0.38 fof(f735,plain,(
% 0.13/0.38 ~sk_c5=sk_c7|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|sQ23_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f686,f413])).
% 0.13/0.38 fof(f740,plain,(
% 0.13/0.38 ~sQ21_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ15_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f714,f325,f107,f99,f83,f60,f167])).
% 0.13/0.38 fof(f741,plain,(
% 0.13/0.38 sk_c7=sk_c5|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ15_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f686,f168])).
% 0.13/0.38 fof(f746,plain,(
% 0.13/0.38 sk_c6=sk_c2|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f716,f686])).
% 0.13/0.38 fof(f750,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c2,X0)=X0|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f716,f631])).
% 0.13/0.38 fof(f751,plain,(
% 0.13/0.38 sk_c2=identity|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f716,f446])).
% 0.13/0.38 fof(f753,plain,(
% 0.13/0.38 sk_c7=sk_c2|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f716,f718])).
% 0.13/0.38 fof(f755,plain,(
% 0.13/0.38 ~sk_c2=sk_c7|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|sQ23_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f716,f735])).
% 0.13/0.38 fof(f756,plain,(
% 0.13/0.38 ~sk_c2=sk_c2|~sQ1_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|sQ23_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f753,f755])).
% 0.13/0.38 fof(f757,plain,(
% 0.13/0.38 $false|~sQ1_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|sQ23_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f756])).
% 0.13/0.38 fof(f758,plain,(
% 0.13/0.38 ~sQ1_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|sQ23_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f757])).
% 0.13/0.38 fof(f759,plain,(
% 0.13/0.38 ~inverse(sk_c2)=sk_c5|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ28_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f753,f721])).
% 0.13/0.38 fof(f760,plain,(
% 0.13/0.38 ~inverse(sk_c2)=sk_c2|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ28_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f716,f759])).
% 0.13/0.38 fof(f781,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c2|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f716,f713])).
% 0.13/0.38 fof(f793,plain,(
% 0.13/0.38 ~sk_c2=sk_c2|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ28_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f781,f760])).
% 0.13/0.38 fof(f794,plain,(
% 0.13/0.38 $false|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ28_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f793])).
% 0.13/0.38 fof(f795,plain,(
% 0.13/0.38 ~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ28_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f794])).
% 0.13/0.38 fof(f807,plain,(
% 0.13/0.38 $false|sQ26_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f481])).
% 0.13/0.38 fof(f808,plain,(
% 0.13/0.38 sQ26_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f807])).
% 0.13/0.38 fof(f813,plain,(
% 0.13/0.38 ~multiply(sk_c2,sk_c7)=sk_c5|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f746,f65])).
% 0.13/0.38 fof(f814,plain,(
% 0.13/0.38 ~multiply(sk_c2,sk_c7)=sk_c2|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f716,f813])).
% 0.13/0.38 fof(f815,plain,(
% 0.13/0.38 ~sk_c7=sk_c2|~sQ6_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl|sQ21_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f716,f327])).
% 0.13/0.38 fof(f820,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c2)=sk_c5|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f716,f711])).
% 0.13/0.38 fof(f821,plain,(
% 0.13/0.38 multiply(sk_c7,sk_c2)=sk_c2|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f716,f820])).
% 0.13/0.38 fof(f823,plain,(
% 0.13/0.38 ![X0]: (multiply(sk_c2,X0)=multiply(sk_c7,multiply(sk_c2,X0))|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f821,f32])).
% 0.13/0.38 fof(f824,plain,(
% 0.13/0.38 ![X0]: (X0=multiply(sk_c7,multiply(sk_c2,X0))|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f750,f823])).
% 0.13/0.38 fof(f825,plain,(
% 0.13/0.38 ![X0]: (X0=multiply(sk_c7,X0)|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ7_spl)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f750,f824])).
% 0.13/0.38 fof(f829,plain,(
% 0.13/0.38 sk_c1=identity|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f825,f434])).
% 0.13/0.38 fof(f830,plain,(
% 0.13/0.38 inverse(sk_c2)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f831,f84])).
% 0.13/0.38 fof(f831,plain,(
% 0.13/0.38 sk_c1=sk_c2|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f751,f829])).
% 0.13/0.38 fof(f832,plain,(
% 0.13/0.38 sk_c2=sk_c7|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f781,f830])).
% 0.13/0.38 fof(f833,plain,(
% 0.13/0.38 $false|sQ21_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f832,f815])).
% 0.13/0.38 fof(f834,plain,(
% 0.13/0.38 sQ21_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl|~sQ7_spl|~sQ6_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f833])).
% 0.13/0.38 fof(f835,plain,(
% 0.13/0.38 sk_c7=sk_c2|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|~sQ15_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f716,f741])).
% 0.13/0.38 fof(f860,plain,(
% 0.13/0.38 ~sk_c7=sk_c2|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f750,f814])).
% 0.13/0.38 fof(f861,plain,(
% 0.13/0.38 ~sk_c2=sk_c2|~sQ15_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f835,f860])).
% 0.13/0.38 fof(f862,plain,(
% 0.13/0.38 $false|~sQ15_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f861])).
% 0.13/0.38 fof(f863,plain,(
% 0.13/0.38 ~sQ15_spl|~sQ9_spl|~sQ8_spl|~sQ6_spl|~sQ0_spl|sQ1_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f862])).
% 0.13/0.38 fof(f864,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 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,f134,f140,f146,f158,f164,f173,f288,f310,f370,f408,f482,f497,f630,f720,f740,f758,f795,f808,f834,f863])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.039212 seconds
% 0.13/0.40 % CPU time: 0.117899 seconds
% 0.13/0.40 % Total memory used: 26.657 MB
% 0.13/0.40 % Net memory used: 26.613 MB
%------------------------------------------------------------------------------