%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP284-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:23 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP284-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 20:10:15 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f1,axiom,(
% 0.11/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f2,axiom,(
% 0.11/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f3,axiom,(
% 0.11/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f4,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f5,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f6,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f7,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f8,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f9,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f10,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f11,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f12,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f13,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f14,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f15,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f16,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f17,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f18,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f19,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f20,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c2,sk_c7) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f21,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f22,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c2,sk_c7) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f23,negated_conjecture,(
% 0.11/0.41 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f24,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c2) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f25,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f26,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f27,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f28,negated_conjecture,(
% 0.11/0.41 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f29,negated_conjecture,(
% 0.11/0.41 (![X3,X4,X1,X2]: (( multiply(sk_c7,sk_c6) != sk_c5| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c7) != sk_c5| inverse(X4) != sk_c7| 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 ) ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f30,plain,(
% 0.11/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.41 fof(f31,plain,(
% 0.11/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.41 fof(f32,plain,(
% 0.11/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.41 fof(f33,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.41 fof(f34,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.41 fof(f35,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.41 fof(f36,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.41 fof(f37,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.41 fof(f38,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.41 fof(f39,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.41 fof(f40,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.41 fof(f41,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.11/0.41 fof(f42,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.11/0.41 fof(f43,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.11/0.41 fof(f44,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.41 fof(f45,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.41 fof(f46,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.41 fof(f47,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.41 fof(f48,plain,(
% 0.11/0.41 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.11/0.41 fof(f49,plain,(
% 0.11/0.41 multiply(sk_c2,sk_c7)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.11/0.41 fof(f50,plain,(
% 0.11/0.41 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.41 fof(f51,plain,(
% 0.11/0.41 multiply(sk_c2,sk_c7)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/0.41 fof(f52,plain,(
% 0.11/0.41 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.11/0.41 fof(f53,plain,(
% 0.11/0.41 inverse(sk_c2)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.11/0.41 fof(f54,plain,(
% 0.11/0.41 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.11/0.41 fof(f55,plain,(
% 0.11/0.41 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.11/0.41 fof(f56,plain,(
% 0.11/0.41 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.11/0.41 fof(f57,plain,(
% 0.11/0.41 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.41 fof(f58,plain,(
% 0.11/0.41 ![X2]: (((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(X4,sk_c7)=sk_c5)|~inverse(X4)=sk_c7))|~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)),
% 0.11/0.41 inference(miniscoping,[status(thm)],[f29])).
% 0.11/0.41 fof(f59,plain,(
% 0.11/0.41 ![X0,X1,X2,X3]: (~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c7)=sk_c5|~inverse(X1)=sk_c7|~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)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f58])).
% 0.11/0.41 fof(f60,definition,(
% 0.11/0.41 sQ0_spl <=> (multiply(sk_c7,sk_c6)=sk_c5)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f61,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c6)=sk_c5|~sQ0_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f60])).
% 0.11/0.41 fof(f62,plain,(
% 0.11/0.41 ~multiply(sk_c7,sk_c6)=sk_c5|sQ0_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f60])).
% 0.11/0.41 fof(f63,definition,(
% 0.11/0.41 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c5)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f64,plain,(
% 0.11/0.41 multiply(sk_c6,sk_c7)=sk_c5|~sQ1_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f63])).
% 0.11/0.41 fof(f65,plain,(
% 0.11/0.41 ~multiply(sk_c6,sk_c7)=sk_c5|sQ1_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f63])).
% 0.11/0.41 fof(f66,plain,(
% 0.11/0.41 sQ0_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.11/0.41 fof(f67,definition,(
% 0.11/0.41 sQ2_spl <=> (inverse(sk_c3)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f68,plain,(
% 0.11/0.41 inverse(sk_c3)=sk_c7|~sQ2_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f67])).
% 0.11/0.41 fof(f70,plain,(
% 0.11/0.41 sQ0_spl|sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f34,f60,f67])).
% 0.11/0.41 fof(f71,definition,(
% 0.11/0.41 sQ3_spl <=> (multiply(sk_c3,sk_c6)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f72,plain,(
% 0.11/0.41 multiply(sk_c3,sk_c6)=sk_c7|~sQ3_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f71])).
% 0.11/0.41 fof(f74,plain,(
% 0.11/0.41 sQ0_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f35,f60,f71])).
% 0.11/0.41 fof(f75,definition,(
% 0.11/0.41 sQ4_spl <=> (inverse(sk_c4)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f76,plain,(
% 0.11/0.41 inverse(sk_c4)=sk_c6|~sQ4_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f75])).
% 0.11/0.41 fof(f78,plain,(
% 0.11/0.41 sQ0_spl|sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f36,f60,f75])).
% 0.11/0.41 fof(f79,definition,(
% 0.11/0.41 sQ5_spl <=> (multiply(sk_c4,sk_c5)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f80,plain,(
% 0.11/0.41 multiply(sk_c4,sk_c5)=sk_c6|~sQ5_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f79])).
% 0.11/0.41 fof(f81,plain,(
% 0.11/0.41 ~multiply(sk_c4,sk_c5)=sk_c6|sQ5_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f79])).
% 0.11/0.41 fof(f82,plain,(
% 0.11/0.41 sQ0_spl|sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f37,f60,f79])).
% 0.11/0.41 fof(f83,definition,(
% 0.11/0.41 sQ6_spl <=> (multiply(sk_c1,sk_c7)=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f84,plain,(
% 0.11/0.41 multiply(sk_c1,sk_c7)=sk_c6|~sQ6_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f83])).
% 0.11/0.41 fof(f86,plain,(
% 0.11/0.41 sQ6_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.11/0.41 fof(f87,plain,(
% 0.11/0.41 sQ6_spl|sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.11/0.41 fof(f88,plain,(
% 0.11/0.41 sQ6_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.11/0.41 fof(f89,plain,(
% 0.11/0.41 sQ6_spl|sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.11/0.41 fof(f90,plain,(
% 0.11/0.41 sQ6_spl|sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.11/0.41 fof(f91,definition,(
% 0.11/0.41 sQ7_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f92,plain,(
% 0.11/0.41 inverse(sk_c1)=sk_c7|~sQ7_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f91])).
% 0.11/0.41 fof(f94,plain,(
% 0.11/0.41 sQ7_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.11/0.41 fof(f95,plain,(
% 0.11/0.41 sQ7_spl|sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f44,f91,f67])).
% 0.11/0.41 fof(f96,plain,(
% 0.11/0.41 sQ7_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f45,f91,f71])).
% 0.11/0.41 fof(f97,plain,(
% 0.11/0.41 sQ7_spl|sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f46,f91,f75])).
% 0.11/0.41 fof(f98,plain,(
% 0.11/0.41 sQ7_spl|sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f47,f91,f79])).
% 0.11/0.41 fof(f99,definition,(
% 0.11/0.41 sQ8_spl <=> (multiply(sk_c2,sk_c7)=sk_c5)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f100,plain,(
% 0.11/0.41 multiply(sk_c2,sk_c7)=sk_c5|~sQ8_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f99])).
% 0.11/0.41 fof(f102,plain,(
% 0.11/0.41 sQ8_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f48,f99,f63])).
% 0.11/0.41 fof(f103,plain,(
% 0.11/0.41 sQ8_spl|sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.11/0.41 fof(f104,plain,(
% 0.11/0.41 sQ8_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.11/0.41 fof(f105,plain,(
% 0.11/0.41 sQ8_spl|sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.11/0.41 fof(f106,plain,(
% 0.11/0.41 sQ8_spl|sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.11/0.41 fof(f107,definition,(
% 0.11/0.41 sQ9_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f108,plain,(
% 0.11/0.41 inverse(sk_c2)=sk_c7|~sQ9_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f107])).
% 0.11/0.41 fof(f110,plain,(
% 0.11/0.41 sQ9_spl|sQ1_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f53,f107,f63])).
% 0.11/0.41 fof(f111,plain,(
% 0.11/0.41 sQ9_spl|sQ2_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.11/0.41 fof(f112,plain,(
% 0.11/0.41 sQ9_spl|sQ3_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.11/0.41 fof(f113,plain,(
% 0.11/0.41 sQ9_spl|sQ4_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.11/0.41 fof(f114,plain,(
% 0.11/0.41 sQ9_spl|sQ5_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.11/0.41 fof(f115,definition,(
% 0.11/0.41 ![X0]: (sQ10_spl <=> (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f116,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f115])).
% 0.11/0.41 fof(f118,definition,(
% 0.11/0.41 ![X1]: (sQ11_spl <=> (~multiply(X1,sk_c7)=sk_c5|~inverse(X1)=sk_c7))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f119,plain,(
% 0.11/0.41 ![X0]: (~multiply(X0,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~sQ11_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f118])).
% 0.11/0.41 fof(f121,definition,(
% 0.11/0.41 ![X2]: (sQ12_spl <=> (~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f122,plain,(
% 0.11/0.41 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ12_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f121])).
% 0.11/0.41 fof(f124,definition,(
% 0.11/0.41 ![X3]: (sQ13_spl <=> (~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6))),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f125,plain,(
% 0.11/0.41 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~sQ13_spl)),
% 0.11/0.41 inference(component_clause,[status(thm)],[f124])).
% 0.11/0.41 fof(f127,plain,(
% 0.11/0.41 ~sQ0_spl|sQ10_spl|sQ11_spl|~sQ1_spl|sQ12_spl|sQ13_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f59,f60,f115,f118,f63,f121,f124])).
% 0.11/0.41 fof(f128,plain,(
% 0.11/0.41 ~inverse(sk_c4)=sk_c6|~sQ13_spl|~sQ5_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f125,f80])).
% 0.11/0.41 fof(f130,plain,(
% 0.11/0.41 ~sk_c6=sk_c6|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f76,f128])).
% 0.11/0.41 fof(f131,plain,(
% 0.11/0.41 $false|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f130])).
% 0.11/0.41 fof(f132,plain,(
% 0.11/0.41 ~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f131])).
% 0.11/0.41 fof(f133,plain,(
% 0.11/0.41 ~inverse(sk_c3)=sk_c7|~sQ12_spl|~sQ3_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f122,f72])).
% 0.11/0.41 fof(f134,plain,(
% 0.11/0.41 ~inverse(sk_c7)=sk_c7|~sk_c5=sk_c7|~sQ12_spl|~sQ0_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f61,f122])).
% 0.11/0.41 fof(f136,plain,(
% 0.11/0.41 ~sk_c7=sk_c7|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f68,f133])).
% 0.11/0.41 fof(f137,plain,(
% 0.11/0.41 $false|~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f136])).
% 0.11/0.41 fof(f138,plain,(
% 0.11/0.41 ~sQ2_spl|~sQ12_spl|~sQ3_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f137])).
% 0.11/0.41 fof(f139,plain,(
% 0.11/0.41 ~inverse(sk_c2)=sk_c7|~sQ11_spl|~sQ8_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f119,f100])).
% 0.11/0.41 fof(f140,plain,(
% 0.11/0.41 ~sk_c6=sk_c5|~inverse(sk_c1)=sk_c7|~sQ11_spl|~sQ6_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f84,f119])).
% 0.11/0.41 fof(f142,plain,(
% 0.11/0.41 ~sk_c7=sk_c7|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f108,f139])).
% 0.11/0.41 fof(f143,plain,(
% 0.11/0.41 $false|~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f142])).
% 0.11/0.41 fof(f144,plain,(
% 0.11/0.41 ~sQ9_spl|~sQ11_spl|~sQ8_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f143])).
% 0.11/0.41 fof(f148,plain,(
% 0.11/0.41 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~sQ6_spl)),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f84,f32])).
% 0.11/0.41 fof(f151,plain,(
% 0.11/0.41 ~inverse(sk_c1)=sk_c7|~sQ10_spl|~sQ6_spl),
% 0.11/0.41 inference(resolution,[status(thm)],[f116,f84])).
% 0.11/0.41 fof(f154,plain,(
% 0.11/0.41 ~sk_c7=sk_c7|~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f92,f151])).
% 0.11/0.41 fof(f155,plain,(
% 0.11/0.41 $false|~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f154])).
% 0.11/0.41 fof(f156,plain,(
% 0.11/0.41 ~sQ7_spl|~sQ10_spl|~sQ6_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f155])).
% 0.11/0.41 fof(f157,definition,(
% 0.11/0.41 sQ14_spl <=> (sk_c6=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f159,plain,(
% 0.11/0.41 ~sk_c6=sk_c6|sQ14_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f157])).
% 0.11/0.41 fof(f161,plain,(
% 0.11/0.41 $false|sQ14_spl),
% 0.11/0.41 inference(trivial_equality_resolution,[status(thm)],[f159])).
% 0.11/0.41 fof(f162,plain,(
% 0.11/0.41 sQ14_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f161])).
% 0.11/0.41 fof(f163,plain,(
% 0.11/0.41 ~sk_c7=sk_c6|~inverse(identity)=sk_c7|~sQ10_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f30,f116])).
% 0.11/0.41 fof(f165,definition,(
% 0.11/0.41 sQ15_spl <=> (sk_c7=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f167,plain,(
% 0.11/0.41 ~sk_c7=sk_c6|sQ15_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f165])).
% 0.11/0.41 fof(f168,definition,(
% 0.11/0.41 sQ16_spl <=> (inverse(identity)=sk_c7)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f169,plain,(
% 0.11/0.41 inverse(identity)=sk_c7|~sQ16_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f168])).
% 0.11/0.41 fof(f170,plain,(
% 0.11/0.41 ~inverse(identity)=sk_c7|sQ16_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f168])).
% 0.11/0.41 fof(f171,plain,(
% 0.11/0.41 ~sQ15_spl|~sQ16_spl|~sQ10_spl),
% 0.11/0.41 inference(split_clause,[status(thm)],[f163,f165,f168,f115])).
% 0.11/0.41 fof(f172,plain,(
% 0.11/0.41 multiply(sk_c6,sk_c4)=identity|~sQ4_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f76,f31])).
% 0.11/0.41 fof(f174,plain,(
% 0.11/0.41 multiply(sk_c7,sk_c2)=identity|~sQ9_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f108,f31])).
% 0.11/0.41 fof(f176,plain,(
% 0.11/0.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.11/0.41 fof(f184,plain,(
% 0.11/0.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f30,f176])).
% 0.11/0.41 fof(f186,plain,(
% 0.11/0.41 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~sQ1_spl)),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f64,f32])).
% 0.11/0.41 fof(f187,definition,(
% 0.11/0.41 sQ19_spl <=> (sk_c5=sk_c6)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.11/0.41 fof(f189,plain,(
% 0.11/0.41 ~sk_c5=sk_c6|sQ19_spl),
% 0.11/0.41 inference(component_clause,[status(thm)],[f187])).
% 0.11/0.41 fof(f194,plain,(
% 0.11/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c4,X0))|~sQ4_spl)),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f172,f32])).
% 0.11/0.41 fof(f195,plain,(
% 0.11/0.41 ![X0]: (X0=multiply(sk_c6,multiply(sk_c4,X0))|~sQ4_spl)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f30,f194])).
% 0.11/0.41 fof(f210,plain,(
% 0.11/0.41 ![X0]: (X0=multiply(sk_c7,multiply(sk_c2,X0))|~sQ9_spl)),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f108,f184])).
% 0.11/0.41 fof(f211,plain,(
% 0.11/0.41 sk_c2=multiply(inverse(sk_c7),identity)|~sQ9_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f174,f184])).
% 0.11/0.41 fof(f216,plain,(
% 0.11/0.41 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f31,f184])).
% 0.11/0.41 fof(f217,plain,(
% 0.11/0.41 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f30,f184])).
% 0.11/0.41 fof(f220,plain,(
% 0.11/0.41 sk_c6=multiply(inverse(sk_c3),sk_c7)|~sQ3_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f72,f184])).
% 0.11/0.41 fof(f222,plain,(
% 0.11/0.41 sk_c5=multiply(inverse(sk_c4),sk_c6)|~sQ5_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f80,f184])).
% 0.11/0.41 fof(f225,plain,(
% 0.11/0.41 sk_c6=multiply(sk_c7,sk_c7)|~sQ2_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f68,f220])).
% 0.11/0.41 fof(f227,plain,(
% 0.11/0.41 sk_c5=multiply(sk_c6,sk_c6)|~sQ4_spl|~sQ5_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f76,f222])).
% 0.11/0.41 fof(f250,plain,(
% 0.11/0.41 multiply(sk_c5,sk_c7)=multiply(sk_c6,sk_c6)|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f225,f186])).
% 0.11/0.41 fof(f251,plain,(
% 0.11/0.41 multiply(sk_c5,sk_c2)=multiply(sk_c6,identity)|~sQ1_spl|~sQ9_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f174,f186])).
% 0.11/0.41 fof(f256,plain,(
% 0.11/0.41 multiply(sk_c5,sk_c7)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f227,f250])).
% 0.11/0.41 fof(f266,plain,(
% 0.11/0.41 sk_c7=multiply(inverse(sk_c5),sk_c5)|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f256,f184])).
% 0.11/0.41 fof(f269,plain,(
% 0.11/0.41 sk_c7=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f31,f266])).
% 0.11/0.41 fof(f277,plain,(
% 0.11/0.41 ![X0]: (multiply(sk_c7,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f269,f30])).
% 0.11/0.41 fof(f280,plain,(
% 0.11/0.41 sk_c6=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f277,f225])).
% 0.11/0.41 fof(f281,plain,(
% 0.11/0.41 ~sk_c6=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ0_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f277,f62])).
% 0.11/0.41 fof(f286,plain,(
% 0.11/0.41 $false|sQ15_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f280,f167])).
% 0.11/0.41 fof(f287,plain,(
% 0.11/0.41 sQ15_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.41 inference(contradiction_clause,[status(thm)],[f286])).
% 0.11/0.41 fof(f288,plain,(
% 0.11/0.41 ![X0]: (multiply(sk_c6,X0)=X0|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f280,f277])).
% 0.11/0.41 fof(f289,plain,(
% 0.11/0.41 sk_c6=identity|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f280,f269])).
% 0.11/0.41 fof(f293,plain,(
% 0.11/0.41 inverse(sk_c3)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f280,f68])).
% 0.11/0.41 fof(f303,plain,(
% 0.11/0.41 ![X0]: (X0=multiply(sk_c4,X0)|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl)),
% 0.11/0.41 inference(backward_demodulation,[status(thm)],[f288,f195])).
% 0.11/0.41 fof(f304,plain,(
% 0.11/0.41 sk_c5=sk_c6|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f288,f227])).
% 0.11/0.42 fof(f308,plain,(
% 0.11/0.42 $false|sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f304,f281])).
% 0.11/0.42 fof(f309,plain,(
% 0.11/0.42 sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f308])).
% 0.11/0.42 fof(f313,plain,(
% 0.11/0.42 multiply(sk_c6,sk_c6)=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ0_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f280,f61])).
% 0.11/0.42 fof(f314,plain,(
% 0.11/0.42 sk_c6=sk_c5|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ0_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f288,f313])).
% 0.11/0.42 fof(f322,plain,(
% 0.11/0.42 $false|sQ19_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f304,f189])).
% 0.11/0.42 fof(f323,plain,(
% 0.11/0.42 sQ19_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f322])).
% 0.11/0.42 fof(f324,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ11_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f280,f119])).
% 0.11/0.42 fof(f325,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,sk_c6)=sk_c5|~inverse(X0)=sk_c6|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ11_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f280,f324])).
% 0.11/0.42 fof(f328,plain,(
% 0.11/0.42 sk_c5=identity|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f314,f289])).
% 0.11/0.42 fof(f329,plain,(
% 0.11/0.42 sk_c5=sk_c7|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f314,f280])).
% 0.11/0.42 fof(f334,plain,(
% 0.11/0.42 inverse(sk_c3)=sk_c5|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f314,f293])).
% 0.11/0.42 fof(f358,plain,(
% 0.11/0.42 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c7,multiply(sk_c6,X0))|~sQ0_spl)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f61,f32])).
% 0.11/0.42 fof(f359,plain,(
% 0.11/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f184,f217])).
% 0.11/0.42 fof(f368,plain,(
% 0.11/0.42 sk_c7=multiply(sk_c7,sk_c5)|~sQ9_spl|~sQ8_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f100,f210])).
% 0.11/0.42 fof(f374,plain,(
% 0.11/0.42 multiply(sk_c6,sk_c5)=multiply(sk_c1,sk_c7)|~sQ6_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f368,f148])).
% 0.11/0.42 fof(f380,plain,(
% 0.11/0.42 multiply(sk_c6,sk_c5)=sk_c6|~sQ6_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f84,f374])).
% 0.11/0.42 fof(f402,plain,(
% 0.11/0.42 sk_c5=multiply(inverse(sk_c6),sk_c6)|~sQ6_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f380,f184])).
% 0.11/0.42 fof(f404,plain,(
% 0.11/0.42 sk_c5=identity|~sQ6_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f31,f402])).
% 0.11/0.42 fof(f405,plain,(
% 0.11/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ6_spl|~sQ9_spl|~sQ8_spl)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f404,f31])).
% 0.11/0.42 fof(f406,plain,(
% 0.11/0.42 multiply(sk_c7,sk_c2)=sk_c5|~sQ6_spl|~sQ8_spl|~sQ9_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f404,f174])).
% 0.11/0.42 fof(f407,plain,(
% 0.11/0.42 ![X0]: (multiply(sk_c5,X0)=X0|~sQ6_spl|~sQ9_spl|~sQ8_spl)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f404,f359])).
% 0.11/0.42 fof(f409,plain,(
% 0.11/0.42 ~inverse(sk_c5)=sk_c7|~sQ6_spl|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f404,f170])).
% 0.11/0.42 fof(f433,plain,(
% 0.11/0.42 sk_c2=multiply(inverse(sk_c7),sk_c5)|~sQ6_spl|~sQ8_spl|~sQ9_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f404,f211])).
% 0.11/0.42 fof(f437,plain,(
% 0.11/0.42 ![X0]: (X0=multiply(inverse(inverse(X0)),sk_c5)|~sQ6_spl|~sQ9_spl|~sQ8_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f404,f216])).
% 0.11/0.42 fof(f439,plain,(
% 0.11/0.42 sk_c1=multiply(inverse(sk_c7),sk_c5)|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f92,f437])).
% 0.11/0.42 fof(f442,plain,(
% 0.11/0.42 sk_c1=sk_c2|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f433,f439])).
% 0.11/0.42 fof(f444,plain,(
% 0.11/0.42 ![X0]: (X0=multiply(sk_c7,multiply(sk_c6,X0))|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f407,f358])).
% 0.11/0.42 fof(f463,plain,(
% 0.11/0.42 multiply(sk_c2,sk_c7)=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f442,f84])).
% 0.11/0.42 fof(f465,plain,(
% 0.11/0.42 sk_c5=sk_c6|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f100,f463])).
% 0.11/0.42 fof(f466,plain,(
% 0.11/0.42 ![X0]: (X0=multiply(sk_c7,multiply(sk_c5,X0))|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f465,f444])).
% 0.11/0.42 fof(f469,plain,(
% 0.11/0.42 ~multiply(sk_c5,sk_c7)=sk_c5|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f465,f65])).
% 0.11/0.42 fof(f473,plain,(
% 0.11/0.42 ![X0]: (X0=multiply(sk_c7,X0)|~sQ7_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ0_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f407,f466])).
% 0.11/0.42 fof(f475,plain,(
% 0.11/0.42 ~sk_c7=sk_c5|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|sQ1_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f407,f469])).
% 0.11/0.42 fof(f477,plain,(
% 0.11/0.42 sk_c2=sk_c5|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f473,f406])).
% 0.11/0.42 fof(f478,plain,(
% 0.11/0.42 sk_c7=sk_c5|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f473,f368])).
% 0.11/0.42 fof(f479,plain,(
% 0.11/0.42 ![X0]: (X0=multiply(sk_c2,X0)|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ0_spl|~sQ9_spl)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f473,f210])).
% 0.11/0.42 fof(f483,plain,(
% 0.11/0.42 $false|sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.42 inference(forward_subsumption_resolution,[status(thm)],[f478,f475])).
% 0.11/0.42 fof(f484,plain,(
% 0.11/0.42 sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f483])).
% 0.11/0.42 fof(f490,plain,(
% 0.11/0.42 sk_c2=multiply(sk_c6,identity)|~sQ6_spl|~sQ8_spl|~sQ1_spl|~sQ9_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f407,f251])).
% 0.11/0.42 fof(f491,plain,(
% 0.11/0.42 sk_c2=multiply(sk_c5,identity)|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ1_spl|~sQ9_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f465,f490])).
% 0.11/0.42 fof(f492,plain,(
% 0.11/0.42 sk_c2=identity|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ1_spl|~sQ9_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f407,f491])).
% 0.11/0.42 fof(f502,definition,(
% 0.11/0.42 sQ21_spl <=> (inverse(sk_c7)=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f504,plain,(
% 0.11/0.42 ~inverse(sk_c7)=sk_c7|sQ21_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f502])).
% 0.11/0.42 fof(f505,definition,(
% 0.11/0.42 sQ22_spl <=> (sk_c5=sk_c7)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f507,plain,(
% 0.11/0.42 ~sk_c5=sk_c7|sQ22_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f505])).
% 0.11/0.42 fof(f508,plain,(
% 0.11/0.42 ~sQ21_spl|~sQ22_spl|~sQ12_spl|~sQ0_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f134,f502,f505,f121,f60])).
% 0.11/0.42 fof(f510,plain,(
% 0.11/0.42 sk_c2=sk_c6|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f477,f465])).
% 0.11/0.42 fof(f514,plain,(
% 0.11/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl)),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f477,f405])).
% 0.11/0.42 fof(f515,plain,(
% 0.11/0.42 ~inverse(sk_c2)=sk_c7|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f477,f409])).
% 0.11/0.42 fof(f520,plain,(
% 0.11/0.42 ~sk_c7=sk_c7|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f108,f515])).
% 0.11/0.42 fof(f521,plain,(
% 0.11/0.42 $false|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f520])).
% 0.11/0.42 fof(f522,plain,(
% 0.11/0.42 ~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|sQ16_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f521])).
% 0.11/0.42 fof(f549,plain,(
% 0.11/0.42 ~multiply(sk_c4,sk_c2)=sk_c6|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|sQ5_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f477,f81])).
% 0.11/0.42 fof(f550,plain,(
% 0.11/0.42 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c2)=sk_c6|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ13_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f477,f125])).
% 0.11/0.42 fof(f553,plain,(
% 0.11/0.42 sk_c7=sk_c2|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f477,f478])).
% 0.11/0.42 fof(f564,plain,(
% 0.11/0.42 inverse(sk_c2)=sk_c7|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ1_spl|~sQ9_spl|~sQ16_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f492,f169])).
% 0.11/0.42 fof(f565,plain,(
% 0.11/0.42 inverse(sk_c2)=sk_c2|~sQ0_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ1_spl|~sQ9_spl|~sQ16_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f553,f564])).
% 0.11/0.42 fof(f576,plain,(
% 0.11/0.42 inverse(sk_c4)=sk_c2|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ4_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f510,f76])).
% 0.11/0.42 fof(f577,plain,(
% 0.11/0.42 multiply(sk_c2,sk_c4)=sk_c2|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ4_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f576,f514])).
% 0.11/0.42 fof(f579,plain,(
% 0.11/0.42 sk_c4=sk_c2|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ6_spl|~sQ4_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f479,f577])).
% 0.11/0.42 fof(f588,plain,(
% 0.11/0.42 ~multiply(sk_c2,sk_c2)=sk_c6|~sQ4_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|sQ5_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f579,f549])).
% 0.11/0.42 fof(f589,plain,(
% 0.11/0.42 ~sk_c2=sk_c6|~sQ4_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|sQ5_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f479,f588])).
% 0.11/0.42 fof(f590,plain,(
% 0.11/0.42 ~sk_c2=sk_c2|~sQ4_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|sQ5_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f510,f589])).
% 0.11/0.42 fof(f591,plain,(
% 0.11/0.42 $false|~sQ4_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|sQ5_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f590])).
% 0.11/0.42 fof(f592,plain,(
% 0.11/0.42 ~sQ4_spl|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|sQ5_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f591])).
% 0.11/0.42 fof(f593,plain,(
% 0.11/0.42 ~sQ19_spl|~sQ7_spl|~sQ11_spl|~sQ6_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f140,f187,f91,f118,f83])).
% 0.11/0.42 fof(f602,plain,(
% 0.11/0.42 inverse(sk_c2)=sk_c7|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f442,f92])).
% 0.11/0.42 fof(f603,plain,(
% 0.11/0.42 inverse(sk_c2)=sk_c2|~sQ0_spl|~sQ6_spl|~sQ9_spl|~sQ8_spl|~sQ7_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f553,f602])).
% 0.11/0.42 fof(f610,plain,(
% 0.11/0.42 ~inverse(sk_c2)=sk_c7|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ21_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f553,f504])).
% 0.11/0.42 fof(f611,plain,(
% 0.11/0.42 ~sk_c2=sk_c7|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ21_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f603,f610])).
% 0.11/0.42 fof(f612,plain,(
% 0.11/0.42 ~sk_c2=sk_c2|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ21_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f553,f611])).
% 0.11/0.42 fof(f613,plain,(
% 0.11/0.42 $false|~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ21_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f612])).
% 0.11/0.42 fof(f614,plain,(
% 0.11/0.42 ~sQ7_spl|~sQ6_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|sQ21_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f613])).
% 0.11/0.42 fof(f615,plain,(
% 0.11/0.42 ~sk_c2=sk_c7|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|sQ22_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f477,f507])).
% 0.11/0.42 fof(f616,plain,(
% 0.11/0.42 ~sk_c2=sk_c2|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|sQ22_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f553,f615])).
% 0.11/0.42 fof(f617,plain,(
% 0.11/0.42 $false|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|sQ22_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f616])).
% 0.11/0.42 fof(f618,plain,(
% 0.11/0.42 ~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|sQ22_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f617])).
% 0.11/0.42 fof(f621,plain,(
% 0.11/0.42 ![X0]: (multiply(sk_c5,X0)=X0|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f328,f359])).
% 0.11/0.42 fof(f631,plain,(
% 0.11/0.42 inverse(sk_c4)=sk_c5|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ0_spl|~sQ4_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f314,f76])).
% 0.11/0.42 fof(f651,plain,(
% 0.11/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c5|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f328,f31])).
% 0.11/0.42 fof(f652,plain,(
% 0.11/0.42 multiply(sk_c5,sk_c3)=sk_c5|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f334,f651])).
% 0.11/0.42 fof(f653,plain,(
% 0.11/0.42 multiply(sk_c5,sk_c4)=sk_c5|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ0_spl|~sQ4_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f631,f651])).
% 0.11/0.42 fof(f656,plain,(
% 0.11/0.42 sk_c3=sk_c5|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f621,f652])).
% 0.11/0.42 fof(f657,plain,(
% 0.11/0.42 sk_c4=sk_c5|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ0_spl|~sQ4_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f621,f653])).
% 0.11/0.42 fof(f660,plain,(
% 0.11/0.42 inverse(sk_c3)=sk_c3|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f656,f334])).
% 0.11/0.42 fof(f665,plain,(
% 0.11/0.42 sk_c3=sk_c7|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f656,f329])).
% 0.11/0.42 fof(f666,plain,(
% 0.11/0.42 sk_c3=identity|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f656,f328])).
% 0.11/0.42 fof(f667,plain,(
% 0.11/0.42 sk_c6=sk_c3|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ0_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f656,f314])).
% 0.11/0.42 fof(f672,plain,(
% 0.11/0.42 sk_c3=sk_c4|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f657,f656])).
% 0.11/0.42 fof(f673,plain,(
% 0.11/0.42 sk_c6=sk_c4|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ0_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f672,f667])).
% 0.11/0.42 fof(f674,plain,(
% 0.11/0.42 sk_c4=identity|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f672,f666])).
% 0.11/0.42 fof(f675,plain,(
% 0.11/0.42 sk_c4=sk_c7|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.42 inference(backward_demodulation,[status(thm)],[f672,f665])).
% 0.11/0.42 fof(f678,plain,(
% 0.11/0.42 ![X0]: (~multiply(X0,sk_c6)=sk_c4|~inverse(X0)=sk_c6|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ11_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f657,f325])).
% 0.11/0.42 fof(f680,plain,(
% 0.11/0.42 ~sk_c6=sk_c4|~inverse(sk_c4)=sk_c6|~sQ0_spl|~sQ11_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.11/0.42 inference(paramodulation,[status(thm)],[f303,f678])).
% 0.11/0.42 fof(f682,definition,(
% 0.11/0.42 sQ24_spl <=> (sk_c6=sk_c4)),
% 0.11/0.42 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.11/0.42 fof(f684,plain,(
% 0.11/0.42 ~sk_c6=sk_c4|sQ24_spl),
% 0.11/0.42 inference(component_clause,[status(thm)],[f682])).
% 0.11/0.42 fof(f689,plain,(
% 0.11/0.42 ~sQ24_spl|~sQ4_spl|~sQ0_spl|~sQ11_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.11/0.42 inference(split_clause,[status(thm)],[f680,f682,f75,f60,f118,f79,f63,f67,f71])).
% 0.11/0.42 fof(f692,plain,(
% 0.11/0.42 ~sk_c4=sk_c4|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ0_spl|sQ24_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f673,f684])).
% 0.11/0.42 fof(f693,plain,(
% 0.11/0.42 $false|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ0_spl|sQ24_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f692])).
% 0.11/0.42 fof(f694,plain,(
% 0.11/0.42 ~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|~sQ0_spl|sQ24_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f693])).
% 0.11/0.42 fof(f712,plain,(
% 0.11/0.42 ~inverse(sk_c4)=sk_c7|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ16_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f674,f170])).
% 0.11/0.42 fof(f713,plain,(
% 0.11/0.42 ~inverse(sk_c4)=sk_c4|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ16_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f675,f712])).
% 0.11/0.42 fof(f718,plain,(
% 0.11/0.42 inverse(sk_c4)=sk_c3|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f672,f660])).
% 0.11/0.42 fof(f719,plain,(
% 0.11/0.42 inverse(sk_c4)=sk_c4|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|~sQ2_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f672,f718])).
% 0.11/0.42 fof(f725,plain,(
% 0.11/0.42 ~sk_c4=sk_c4|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ16_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f719,f713])).
% 0.11/0.42 fof(f726,plain,(
% 0.11/0.42 $false|~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ16_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f725])).
% 0.11/0.42 fof(f727,plain,(
% 0.11/0.42 ~sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl|sQ16_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f726])).
% 0.11/0.42 fof(f744,plain,(
% 0.11/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ1_spl|~sQ9_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f492,f31])).
% 0.11/0.42 fof(f758,plain,(
% 0.11/0.42 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c2)=sk_c6|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ13_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f510,f550])).
% 0.11/0.42 fof(f759,plain,(
% 0.11/0.42 ![X0]: (~inverse(X0)=sk_c2|~multiply(X0,sk_c2)=sk_c2|~sQ7_spl|~sQ0_spl|~sQ6_spl|~sQ8_spl|~sQ9_spl|~sQ13_spl)),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f510,f758])).
% 0.11/0.42 fof(f760,plain,(
% 0.11/0.42 ~inverse(inverse(sk_c2))=sk_c2|~sQ0_spl|~sQ13_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ1_spl|~sQ9_spl),
% 0.11/0.42 inference(resolution,[status(thm)],[f759,f744])).
% 0.11/0.42 fof(f765,plain,(
% 0.11/0.42 ~inverse(sk_c2)=sk_c2|~sQ16_spl|~sQ0_spl|~sQ13_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ1_spl|~sQ9_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f565,f760])).
% 0.11/0.42 fof(f766,plain,(
% 0.11/0.42 ~sk_c2=sk_c2|~sQ16_spl|~sQ0_spl|~sQ13_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ1_spl|~sQ9_spl),
% 0.11/0.42 inference(forward_demodulation,[status(thm)],[f565,f765])).
% 0.11/0.42 fof(f767,plain,(
% 0.11/0.42 $false|~sQ16_spl|~sQ0_spl|~sQ13_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ1_spl|~sQ9_spl),
% 0.11/0.42 inference(trivial_equality_resolution,[status(thm)],[f766])).
% 0.11/0.42 fof(f768,plain,(
% 0.11/0.42 ~sQ16_spl|~sQ0_spl|~sQ13_spl|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ1_spl|~sQ9_spl),
% 0.11/0.42 inference(contradiction_clause,[status(thm)],[f767])).
% 0.11/0.42 fof(f769,plain,(
% 0.11/0.42 $false),
% 0.11/0.42 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,f138,f144,f156,f162,f171,f287,f309,f323,f484,f508,f522,f592,f593,f614,f618,f689,f694,f727,f768])).
% 0.11/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.44 % Elapsed time: 0.074434 seconds
% 0.11/0.44 % CPU time: 0.304406 seconds
% 0.11/0.44 % Total memory used: 98.463 MB
% 0.11/0.44 % Net memory used: 98.234 MB
%------------------------------------------------------------------------------