%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP298-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:24 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP298-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.35 % Computer : n019.cluster.edu
% 0.10/5.35 % Model : x86_64 x86_64
% 0.10/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.35 % Memory : 8046.5625MB
% 0.10/5.35 % OS : Linux 6.8.0-71-generic
% 0.10/5.35 % CPULimit : 300
% 0.10/5.35 % WCLimit : 300
% 0.10/5.35 % DateTime : Sun Sep 20 20:08:41 UTC 2026
% 0.10/5.35 % CPUTime :
% 0.10/5.37 % Drodi V4.1.1
% 0.13/5.41 % Refutation found
% 0.13/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.13/5.41 fof(f1,axiom,(
% 0.13/5.41 (![X]: (multiply(identity,X) = X ))),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f2,axiom,(
% 0.13/5.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f3,axiom,(
% 0.13/5.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f4,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f5,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c2) = sk_c8 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f6,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f7,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f8,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f9,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c7 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f10,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c4) = sk_c5 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f12,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f13,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c2) = sk_c8 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f14,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f15,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f16,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f17,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c4,sk_c5) = sk_c7 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f18,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f19,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f20,negated_conjecture,(
% 0.13/5.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f21,negated_conjecture,(
% 0.13/5.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c2) = sk_c8 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f22,negated_conjecture,(
% 0.13/5.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f23,negated_conjecture,(
% 0.13/5.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f24,negated_conjecture,(
% 0.13/5.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f25,negated_conjecture,(
% 0.13/5.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c4,sk_c5) = sk_c7 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f26,negated_conjecture,(
% 0.13/5.41 ( inverse(sk_c1) = sk_c8| inverse(sk_c4) = sk_c5 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f27,negated_conjecture,(
% 0.13/5.41 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f28,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f30,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f31,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c6,sk_c8) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f32,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f33,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c4,sk_c5) = sk_c7 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f34,negated_conjecture,(
% 0.13/5.41 ( multiply(sk_c6,sk_c8) = sk_c7| inverse(sk_c4) = sk_c5 ) ),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f36,negated_conjecture,(
% 0.13/5.41 (![X2,X1,X3,X4,X5]: (( multiply(sk_c8,sk_c7) != sk_c6| multiply(X2,sk_c8) != sk_c7| inverse(X2) != sk_c8| multiply(sk_c6,sk_c8) != sk_c7| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(sk_c8,sk_c6) != sk_c7| inverse(X3) != sk_c8| multiply(X3,sk_c7) != sk_c8| multiply(X4,X5) != sk_c7| inverse(X4) != X5| multiply(X5,sk_c6) != sk_c7 ) ))),
% 0.13/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.41 fof(f37,plain,(
% 0.13/5.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/5.41 fof(f38,plain,(
% 0.13/5.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/5.41 fof(f39,plain,(
% 0.13/5.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/5.41 fof(f40,plain,(
% 0.13/5.41 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c2,sk_c8)=sk_c7),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/5.41 fof(f41,plain,(
% 0.13/5.41 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c2)=sk_c8),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/5.41 fof(f42,plain,(
% 0.13/5.41 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/5.41 fof(f43,plain,(
% 0.13/5.41 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c3)=sk_c8),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/5.41 fof(f44,plain,(
% 0.13/5.41 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c3,sk_c7)=sk_c8),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/5.41 fof(f45,plain,(
% 0.13/5.41 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c7),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/5.41 fof(f46,plain,(
% 0.13/5.41 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c4)=sk_c5),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/5.41 fof(f48,plain,(
% 0.13/5.41 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c2,sk_c8)=sk_c7),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/5.41 fof(f49,plain,(
% 0.13/5.41 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c2)=sk_c8),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/5.41 fof(f50,plain,(
% 0.13/5.41 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/5.41 fof(f51,plain,(
% 0.13/5.41 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/5.41 fof(f52,plain,(
% 0.13/5.41 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c3,sk_c7)=sk_c8),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/5.41 fof(f53,plain,(
% 0.13/5.41 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c4,sk_c5)=sk_c7),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/5.41 fof(f54,plain,(
% 0.13/5.41 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c4)=sk_c5),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/5.41 fof(f55,plain,(
% 0.13/5.41 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/5.41 fof(f56,plain,(
% 0.13/5.41 inverse(sk_c1)=sk_c8|multiply(sk_c2,sk_c8)=sk_c7),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/5.41 fof(f57,plain,(
% 0.13/5.41 inverse(sk_c1)=sk_c8|inverse(sk_c2)=sk_c8),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/5.41 fof(f58,plain,(
% 0.13/5.41 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/5.41 fof(f59,plain,(
% 0.13/5.41 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c8),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/5.41 fof(f60,plain,(
% 0.13/5.41 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c7)=sk_c8),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/5.41 fof(f61,plain,(
% 0.13/5.41 inverse(sk_c1)=sk_c8|multiply(sk_c4,sk_c5)=sk_c7),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/5.41 fof(f62,plain,(
% 0.13/5.41 inverse(sk_c1)=sk_c8|inverse(sk_c4)=sk_c5),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/5.41 fof(f63,plain,(
% 0.13/5.41 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c6)=sk_c7),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/5.41 fof(f64,plain,(
% 0.13/5.41 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c2,sk_c8)=sk_c7),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/5.41 fof(f66,plain,(
% 0.13/5.41 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/5.41 fof(f67,plain,(
% 0.13/5.41 multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c3)=sk_c8),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/5.41 fof(f68,plain,(
% 0.13/5.41 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c3,sk_c7)=sk_c8),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/5.41 fof(f69,plain,(
% 0.13/5.41 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c4,sk_c5)=sk_c7),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/5.41 fof(f70,plain,(
% 0.13/5.41 multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c4)=sk_c5),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/5.41 fof(f72,plain,(
% 0.13/5.41 ![X5]: ((![X4]: (((![X3]: ((((![X1]: ((((![X2]: ((~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X2,sk_c8)=sk_c7)|~inverse(X2)=sk_c8))|~multiply(sk_c6,sk_c8)=sk_c7)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(sk_c8,sk_c6)=sk_c7)|~inverse(X3)=sk_c8)|~multiply(X3,sk_c7)=sk_c8))|~multiply(X4,X5)=sk_c7)|~inverse(X4)=X5))|~multiply(X5,sk_c6)=sk_c7)),
% 0.13/5.41 inference(miniscoping,[status(thm)],[f36])).
% 0.13/5.41 fof(f73,plain,(
% 0.13/5.41 ![X0,X1,X2,X3,X4]: (~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(sk_c6,sk_c8)=sk_c7|~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8|~multiply(sk_c8,sk_c6)=sk_c7|~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8|~multiply(X3,X4)=sk_c7|~inverse(X3)=X4|~multiply(X4,sk_c6)=sk_c7)),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f72])).
% 0.13/5.41 fof(f74,definition,(
% 0.13/5.41 sQ0_spl <=> (multiply(sk_c8,sk_c7)=sk_c6)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f75,plain,(
% 0.13/5.41 multiply(sk_c8,sk_c7)=sk_c6|~sQ0_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f74])).
% 0.13/5.41 fof(f76,plain,(
% 0.13/5.41 ~multiply(sk_c8,sk_c7)=sk_c6|sQ0_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f74])).
% 0.13/5.41 fof(f77,definition,(
% 0.13/5.41 sQ1_spl <=> (multiply(sk_c2,sk_c8)=sk_c7)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f78,plain,(
% 0.13/5.41 multiply(sk_c2,sk_c8)=sk_c7|~sQ1_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f77])).
% 0.13/5.41 fof(f80,plain,(
% 0.13/5.41 sQ0_spl|sQ1_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f40,f74,f77])).
% 0.13/5.41 fof(f81,definition,(
% 0.13/5.41 sQ2_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f82,plain,(
% 0.13/5.41 inverse(sk_c2)=sk_c8|~sQ2_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f81])).
% 0.13/5.41 fof(f84,plain,(
% 0.13/5.41 sQ0_spl|sQ2_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f41,f74,f81])).
% 0.13/5.41 fof(f85,definition,(
% 0.13/5.41 sQ3_spl <=> (multiply(sk_c8,sk_c6)=sk_c7)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f86,plain,(
% 0.13/5.41 multiply(sk_c8,sk_c6)=sk_c7|~sQ3_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f85])).
% 0.13/5.41 fof(f87,plain,(
% 0.13/5.41 ~multiply(sk_c8,sk_c6)=sk_c7|sQ3_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f85])).
% 0.13/5.41 fof(f88,plain,(
% 0.13/5.41 sQ0_spl|sQ3_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f42,f74,f85])).
% 0.13/5.41 fof(f89,definition,(
% 0.13/5.41 sQ4_spl <=> (inverse(sk_c3)=sk_c8)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f90,plain,(
% 0.13/5.41 inverse(sk_c3)=sk_c8|~sQ4_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f89])).
% 0.13/5.41 fof(f92,plain,(
% 0.13/5.41 sQ0_spl|sQ4_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f43,f74,f89])).
% 0.13/5.41 fof(f93,definition,(
% 0.13/5.41 sQ5_spl <=> (multiply(sk_c3,sk_c7)=sk_c8)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f94,plain,(
% 0.13/5.41 multiply(sk_c3,sk_c7)=sk_c8|~sQ5_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f93])).
% 0.13/5.41 fof(f96,plain,(
% 0.13/5.41 sQ0_spl|sQ5_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f44,f74,f93])).
% 0.13/5.41 fof(f97,definition,(
% 0.13/5.41 sQ6_spl <=> (multiply(sk_c4,sk_c5)=sk_c7)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f98,plain,(
% 0.13/5.41 multiply(sk_c4,sk_c5)=sk_c7|~sQ6_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f97])).
% 0.13/5.41 fof(f100,plain,(
% 0.13/5.41 sQ0_spl|sQ6_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f45,f74,f97])).
% 0.13/5.41 fof(f101,definition,(
% 0.13/5.41 sQ7_spl <=> (inverse(sk_c4)=sk_c5)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f102,plain,(
% 0.13/5.41 inverse(sk_c4)=sk_c5|~sQ7_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f101])).
% 0.13/5.41 fof(f104,plain,(
% 0.13/5.41 sQ0_spl|sQ7_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f46,f74,f101])).
% 0.13/5.41 fof(f105,definition,(
% 0.13/5.41 sQ8_spl <=> (multiply(sk_c5,sk_c6)=sk_c7)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f106,plain,(
% 0.13/5.41 multiply(sk_c5,sk_c6)=sk_c7|~sQ8_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f105])).
% 0.13/5.41 fof(f109,definition,(
% 0.13/5.41 sQ9_spl <=> (multiply(sk_c1,sk_c8)=sk_c7)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f110,plain,(
% 0.13/5.41 multiply(sk_c1,sk_c8)=sk_c7|~sQ9_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f109])).
% 0.13/5.41 fof(f112,plain,(
% 0.13/5.41 sQ9_spl|sQ1_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f48,f109,f77])).
% 0.13/5.41 fof(f113,plain,(
% 0.13/5.41 sQ9_spl|sQ2_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f49,f109,f81])).
% 0.13/5.41 fof(f114,plain,(
% 0.13/5.41 sQ9_spl|sQ3_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.13/5.41 fof(f115,plain,(
% 0.13/5.41 sQ9_spl|sQ4_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.13/5.41 fof(f116,plain,(
% 0.13/5.41 sQ9_spl|sQ5_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.13/5.41 fof(f117,plain,(
% 0.13/5.41 sQ9_spl|sQ6_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.13/5.41 fof(f118,plain,(
% 0.13/5.41 sQ9_spl|sQ7_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.13/5.41 fof(f119,plain,(
% 0.13/5.41 sQ9_spl|sQ8_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.13/5.41 fof(f120,definition,(
% 0.13/5.41 sQ10_spl <=> (inverse(sk_c1)=sk_c8)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f121,plain,(
% 0.13/5.41 inverse(sk_c1)=sk_c8|~sQ10_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f120])).
% 0.13/5.41 fof(f123,plain,(
% 0.13/5.41 sQ10_spl|sQ1_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f56,f120,f77])).
% 0.13/5.41 fof(f124,plain,(
% 0.13/5.41 sQ10_spl|sQ2_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f57,f120,f81])).
% 0.13/5.41 fof(f125,plain,(
% 0.13/5.41 sQ10_spl|sQ3_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f58,f120,f85])).
% 0.13/5.41 fof(f126,plain,(
% 0.13/5.41 sQ10_spl|sQ4_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f59,f120,f89])).
% 0.13/5.41 fof(f127,plain,(
% 0.13/5.41 sQ10_spl|sQ5_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f60,f120,f93])).
% 0.13/5.41 fof(f128,plain,(
% 0.13/5.41 sQ10_spl|sQ6_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f61,f120,f97])).
% 0.13/5.41 fof(f129,plain,(
% 0.13/5.41 sQ10_spl|sQ7_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f62,f120,f101])).
% 0.13/5.41 fof(f130,plain,(
% 0.13/5.41 sQ10_spl|sQ8_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f63,f120,f105])).
% 0.13/5.41 fof(f131,definition,(
% 0.13/5.41 sQ11_spl <=> (multiply(sk_c6,sk_c8)=sk_c7)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f132,plain,(
% 0.13/5.41 multiply(sk_c6,sk_c8)=sk_c7|~sQ11_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f131])).
% 0.13/5.41 fof(f133,plain,(
% 0.13/5.41 ~multiply(sk_c6,sk_c8)=sk_c7|sQ11_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f131])).
% 0.13/5.41 fof(f134,plain,(
% 0.13/5.41 sQ11_spl|sQ1_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f64,f131,f77])).
% 0.13/5.41 fof(f136,plain,(
% 0.13/5.41 sQ11_spl|sQ3_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f66,f131,f85])).
% 0.13/5.41 fof(f137,plain,(
% 0.13/5.41 sQ11_spl|sQ4_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f67,f131,f89])).
% 0.13/5.41 fof(f138,plain,(
% 0.13/5.41 sQ11_spl|sQ5_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f68,f131,f93])).
% 0.13/5.41 fof(f139,plain,(
% 0.13/5.41 sQ11_spl|sQ6_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f69,f131,f97])).
% 0.13/5.41 fof(f140,plain,(
% 0.13/5.41 sQ11_spl|sQ7_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f70,f131,f101])).
% 0.13/5.41 fof(f142,definition,(
% 0.13/5.41 ![X0]: (sQ12_spl <=> (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f143,plain,(
% 0.13/5.41 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ12_spl)),
% 0.13/5.41 inference(component_clause,[status(thm)],[f142])).
% 0.13/5.41 fof(f145,definition,(
% 0.13/5.41 ![X2]: (sQ13_spl <=> (~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f146,plain,(
% 0.13/5.41 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~sQ13_spl)),
% 0.13/5.41 inference(component_clause,[status(thm)],[f145])).
% 0.13/5.41 fof(f148,definition,(
% 0.13/5.41 ![X3,X4]: (sQ14_spl <=> (~multiply(X3,X4)=sk_c7|~inverse(X3)=X4|~multiply(X4,sk_c6)=sk_c7))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f149,plain,(
% 0.13/5.41 ![X0,X1]: (~multiply(X0,X1)=sk_c7|~inverse(X0)=X1|~multiply(X1,sk_c6)=sk_c7|~sQ14_spl)),
% 0.13/5.41 inference(component_clause,[status(thm)],[f148])).
% 0.13/5.41 fof(f151,plain,(
% 0.13/5.41 ~sQ0_spl|sQ12_spl|~sQ11_spl|~sQ3_spl|sQ13_spl|sQ14_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f73,f74,f142,f131,f85,f145,f148])).
% 0.13/5.41 fof(f156,plain,(
% 0.13/5.41 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~sQ8_spl)),
% 0.13/5.41 inference(paramodulation,[status(thm)],[f106,f39])).
% 0.13/5.41 fof(f161,plain,(
% 0.13/5.41 multiply(sk_c8,sk_c1)=identity|~sQ10_spl),
% 0.13/5.41 inference(paramodulation,[status(thm)],[f121,f38])).
% 0.13/5.41 fof(f162,plain,(
% 0.13/5.41 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/5.41 inference(paramodulation,[status(thm)],[f38,f39])).
% 0.13/5.41 fof(f163,plain,(
% 0.13/5.41 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f37,f162])).
% 0.13/5.41 fof(f169,plain,(
% 0.13/5.41 ~inverse(sk_c2)=sk_c8|~multiply(sk_c8,sk_c6)=sk_c7|~sQ14_spl|~sQ1_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f149,f78])).
% 0.13/5.41 fof(f173,plain,(
% 0.13/5.41 ~inverse(sk_c1)=sk_c8|~multiply(sk_c8,sk_c6)=sk_c7|~sQ14_spl|~sQ9_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f149,f110])).
% 0.13/5.41 fof(f183,definition,(
% 0.13/5.41 sQ15_spl <=> (inverse(sk_c6)=sk_c8)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f187,plain,(
% 0.13/5.41 ~sQ2_spl|~sQ3_spl|~sQ14_spl|~sQ1_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f169,f81,f85,f148,f77])).
% 0.13/5.41 fof(f203,plain,(
% 0.13/5.41 ~sQ10_spl|~sQ3_spl|~sQ14_spl|~sQ9_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f173,f120,f85,f148,f109])).
% 0.13/5.41 fof(f204,definition,(
% 0.13/5.41 sQ20_spl <=> (sk_c7=sk_c7)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f206,plain,(
% 0.13/5.41 ~sk_c7=sk_c7|sQ20_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f204])).
% 0.13/5.41 fof(f217,definition,(
% 0.13/5.41 sQ23_spl <=> (identity=sk_c7)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f218,plain,(
% 0.13/5.41 identity=sk_c7|~sQ23_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f217])).
% 0.13/5.41 fof(f219,plain,(
% 0.13/5.41 ~identity=sk_c7|sQ23_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f217])).
% 0.13/5.41 fof(f226,plain,(
% 0.13/5.41 $false|sQ20_spl),
% 0.13/5.41 inference(trivial_equality_resolution,[status(thm)],[f206])).
% 0.13/5.41 fof(f227,plain,(
% 0.13/5.41 sQ20_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f226])).
% 0.13/5.41 fof(f230,plain,(
% 0.13/5.41 ~inverse(sk_c8)=sk_c8|~sk_c6=sk_c8|~sQ13_spl|~sQ0_spl),
% 0.13/5.41 inference(paramodulation,[status(thm)],[f75,f146])).
% 0.13/5.41 fof(f234,definition,(
% 0.13/5.41 sQ25_spl <=> (inverse(sk_c8)=sk_c8)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f236,plain,(
% 0.13/5.41 ~inverse(sk_c8)=sk_c8|sQ25_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f234])).
% 0.13/5.41 fof(f237,definition,(
% 0.13/5.41 sQ26_spl <=> (sk_c6=sk_c8)),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f239,plain,(
% 0.13/5.41 ~sk_c6=sk_c8|sQ26_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f237])).
% 0.13/5.41 fof(f240,plain,(
% 0.13/5.41 ~sQ25_spl|~sQ26_spl|~sQ13_spl|~sQ0_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f230,f234,f237,f145,f74])).
% 0.13/5.41 fof(f253,plain,(
% 0.13/5.41 ~inverse(sk_c1)=sk_c8|~sQ12_spl|~sQ9_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f143,f110])).
% 0.13/5.41 fof(f254,plain,(
% 0.13/5.41 ~sk_c7=sk_c7|~inverse(sk_c6)=sk_c8|~sQ12_spl|~sQ11_spl),
% 0.13/5.41 inference(paramodulation,[status(thm)],[f132,f143])).
% 0.13/5.41 fof(f259,plain,(
% 0.13/5.41 ~sk_c8=sk_c8|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f121,f253])).
% 0.13/5.41 fof(f260,plain,(
% 0.13/5.41 $false|~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.13/5.41 inference(trivial_equality_resolution,[status(thm)],[f259])).
% 0.13/5.41 fof(f261,plain,(
% 0.13/5.41 ~sQ10_spl|~sQ12_spl|~sQ9_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f260])).
% 0.13/5.41 fof(f264,plain,(
% 0.13/5.41 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c8,X0))|~sQ1_spl)),
% 0.13/5.41 inference(paramodulation,[status(thm)],[f78,f39])).
% 0.13/5.41 fof(f268,plain,(
% 0.13/5.41 ~inverse(sk_c3)=sk_c8|~sQ13_spl|~sQ5_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f146,f94])).
% 0.13/5.41 fof(f274,plain,(
% 0.13/5.41 ~sk_c8=sk_c8|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f90,f268])).
% 0.13/5.41 fof(f275,plain,(
% 0.13/5.41 $false|~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.13/5.41 inference(trivial_equality_resolution,[status(thm)],[f274])).
% 0.13/5.41 fof(f276,plain,(
% 0.13/5.41 ~sQ4_spl|~sQ13_spl|~sQ5_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f275])).
% 0.13/5.41 fof(f289,plain,(
% 0.13/5.41 sk_c5=multiply(inverse(sk_c4),sk_c7)|~sQ6_spl),
% 0.13/5.41 inference(paramodulation,[status(thm)],[f98,f163])).
% 0.13/5.41 fof(f290,plain,(
% 0.13/5.41 sk_c8=multiply(inverse(sk_c2),sk_c7)|~sQ1_spl),
% 0.13/5.41 inference(paramodulation,[status(thm)],[f78,f163])).
% 0.13/5.41 fof(f291,plain,(
% 0.13/5.41 sk_c7=multiply(inverse(sk_c3),sk_c8)|~sQ5_spl),
% 0.13/5.41 inference(paramodulation,[status(thm)],[f94,f163])).
% 0.13/5.41 fof(f302,plain,(
% 0.13/5.41 sk_c5=multiply(sk_c5,sk_c7)|~sQ7_spl|~sQ6_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f102,f289])).
% 0.13/5.41 fof(f303,plain,(
% 0.13/5.41 sk_c8=multiply(sk_c8,sk_c7)|~sQ2_spl|~sQ1_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f82,f290])).
% 0.13/5.41 fof(f304,plain,(
% 0.13/5.41 sk_c7=multiply(sk_c8,sk_c8)|~sQ4_spl|~sQ5_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f90,f291])).
% 0.13/5.41 fof(f339,plain,(
% 0.13/5.41 sk_c7=multiply(inverse(sk_c5),sk_c5)|~sQ7_spl|~sQ6_spl),
% 0.13/5.41 inference(paramodulation,[status(thm)],[f302,f163])).
% 0.13/5.41 fof(f342,plain,(
% 0.13/5.41 sk_c7=identity|~sQ7_spl|~sQ6_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f38,f339])).
% 0.13/5.41 fof(f344,plain,(
% 0.13/5.41 multiply(sk_c7,sk_c8)=multiply(sk_c5,sk_c7)|~sQ8_spl|~sQ11_spl),
% 0.13/5.41 inference(paramodulation,[status(thm)],[f132,f156])).
% 0.13/5.41 fof(f348,plain,(
% 0.13/5.41 multiply(sk_c7,sk_c8)=sk_c5|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ11_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f302,f344])).
% 0.13/5.41 fof(f357,plain,(
% 0.13/5.41 ~multiply(sk_c8,identity)=sk_c6|~sQ7_spl|~sQ6_spl|sQ0_spl),
% 0.13/5.41 inference(backward_demodulation,[status(thm)],[f342,f76])).
% 0.13/5.41 fof(f359,plain,(
% 0.13/5.41 multiply(sk_c4,sk_c5)=identity|~sQ7_spl|~sQ6_spl),
% 0.13/5.41 inference(backward_demodulation,[status(thm)],[f342,f98])).
% 0.13/5.41 fof(f362,plain,(
% 0.13/5.41 multiply(sk_c8,sk_c6)=identity|~sQ7_spl|~sQ6_spl|~sQ3_spl),
% 0.13/5.41 inference(backward_demodulation,[status(thm)],[f342,f86])).
% 0.13/5.41 fof(f370,plain,(
% 0.13/5.41 sk_c8=multiply(sk_c8,identity)|~sQ7_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f342,f303])).
% 0.13/5.41 fof(f373,plain,(
% 0.13/5.41 ~sk_c8=sk_c6|~sQ2_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|sQ0_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f370,f357])).
% 0.13/5.41 fof(f377,plain,(
% 0.13/5.41 identity=multiply(sk_c8,sk_c8)|~sQ7_spl|~sQ6_spl|~sQ4_spl|~sQ5_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f342,f304])).
% 0.13/5.41 fof(f400,plain,(
% 0.13/5.41 multiply(identity,sk_c8)=sk_c5|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ11_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f342,f348])).
% 0.13/5.41 fof(f401,plain,(
% 0.13/5.41 multiply(sk_c4,sk_c8)=identity|~sQ8_spl|~sQ11_spl|~sQ7_spl|~sQ6_spl),
% 0.13/5.41 inference(backward_demodulation,[status(thm)],[f405,f359])).
% 0.13/5.41 fof(f404,plain,(
% 0.13/5.41 inverse(sk_c4)=sk_c8|~sQ6_spl|~sQ8_spl|~sQ11_spl|~sQ7_spl),
% 0.13/5.41 inference(backward_demodulation,[status(thm)],[f405,f102])).
% 0.13/5.41 fof(f405,plain,(
% 0.13/5.41 sk_c8=sk_c5|~sQ7_spl|~sQ6_spl|~sQ8_spl|~sQ11_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f37,f400])).
% 0.13/5.41 fof(f435,plain,(
% 0.13/5.41 ![X0]: (multiply(identity,X0)=multiply(sk_c2,multiply(sk_c8,X0))|~sQ7_spl|~sQ6_spl|~sQ1_spl)),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f342,f264])).
% 0.13/5.41 fof(f436,plain,(
% 0.13/5.41 ![X0]: (X0=multiply(sk_c2,multiply(sk_c8,X0))|~sQ7_spl|~sQ6_spl|~sQ1_spl)),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f37,f435])).
% 0.13/5.41 fof(f438,plain,(
% 0.13/5.41 sk_c6=multiply(sk_c2,identity)|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl),
% 0.13/5.41 inference(paramodulation,[status(thm)],[f362,f436])).
% 0.13/5.41 fof(f439,plain,(
% 0.13/5.41 sk_c8=multiply(sk_c2,identity)|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ4_spl|~sQ5_spl),
% 0.13/5.41 inference(paramodulation,[status(thm)],[f377,f436])).
% 0.13/5.41 fof(f473,plain,(
% 0.13/5.41 sk_c6=sk_c8|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl),
% 0.13/5.41 inference(backward_demodulation,[status(thm)],[f439,f438])).
% 0.13/5.41 fof(f476,plain,(
% 0.13/5.41 $false|~sQ2_spl|sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f473,f373])).
% 0.13/5.41 fof(f477,plain,(
% 0.13/5.41 ~sQ2_spl|sQ0_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f476])).
% 0.13/5.41 fof(f484,plain,(
% 0.13/5.41 ![X0]: (~multiply(X0,sk_c8)=identity|~inverse(X0)=sk_c8|~sQ7_spl|~sQ6_spl|~sQ12_spl)),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f342,f143])).
% 0.13/5.41 fof(f485,plain,(
% 0.13/5.41 ~sQ20_spl|~sQ15_spl|~sQ12_spl|~sQ11_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f254,f204,f183,f142,f131])).
% 0.13/5.41 fof(f493,plain,(
% 0.13/5.41 ~identity=identity|~sQ7_spl|~sQ6_spl|sQ23_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f342,f219])).
% 0.13/5.41 fof(f494,plain,(
% 0.13/5.41 $false|~sQ7_spl|~sQ6_spl|sQ23_spl),
% 0.13/5.41 inference(trivial_equality_resolution,[status(thm)],[f493])).
% 0.13/5.41 fof(f495,plain,(
% 0.13/5.41 ~sQ7_spl|~sQ6_spl|sQ23_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f494])).
% 0.13/5.41 fof(f499,plain,(
% 0.13/5.41 ~inverse(sk_c4)=sk_c8|~sQ12_spl|~sQ8_spl|~sQ11_spl|~sQ7_spl|~sQ6_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f484,f401])).
% 0.13/5.41 fof(f511,plain,(
% 0.13/5.41 ~sk_c8=sk_c8|~sQ12_spl|~sQ8_spl|~sQ11_spl|~sQ7_spl|~sQ6_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f404,f499])).
% 0.13/5.41 fof(f512,plain,(
% 0.13/5.41 $false|~sQ12_spl|~sQ8_spl|~sQ11_spl|~sQ7_spl|~sQ6_spl),
% 0.13/5.41 inference(trivial_equality_resolution,[status(thm)],[f511])).
% 0.13/5.41 fof(f513,plain,(
% 0.13/5.41 ~sQ12_spl|~sQ8_spl|~sQ11_spl|~sQ7_spl|~sQ6_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f512])).
% 0.13/5.41 fof(f514,plain,(
% 0.13/5.41 sk_c8=multiply(inverse(sk_c1),sk_c7)|~sQ9_spl),
% 0.13/5.41 inference(paramodulation,[status(thm)],[f110,f163])).
% 0.13/5.41 fof(f516,plain,(
% 0.13/5.41 sk_c8=multiply(sk_c8,sk_c7)|~sQ10_spl|~sQ9_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f121,f514])).
% 0.13/5.41 fof(f520,plain,(
% 0.13/5.41 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c6,multiply(sk_c8,X0))|~sQ11_spl)),
% 0.13/5.41 inference(paramodulation,[status(thm)],[f132,f39])).
% 0.13/5.41 fof(f559,plain,(
% 0.13/5.41 sk_c8=sk_c6|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/5.41 inference(backward_demodulation,[status(thm)],[f516,f75])).
% 0.13/5.41 fof(f562,plain,(
% 0.13/5.41 sk_c7=multiply(inverse(sk_c8),sk_c8)|~sQ10_spl|~sQ9_spl),
% 0.13/5.41 inference(paramodulation,[status(thm)],[f516,f163])).
% 0.13/5.41 fof(f564,plain,(
% 0.13/5.41 $false|sQ26_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f559,f239])).
% 0.13/5.41 fof(f565,plain,(
% 0.13/5.41 sQ26_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f564])).
% 0.13/5.41 fof(f568,plain,(
% 0.13/5.41 sk_c7=identity|~sQ10_spl|~sQ9_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f38,f562])).
% 0.13/5.41 fof(f573,plain,(
% 0.13/5.41 multiply(sk_c8,sk_c8)=sk_c7|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ11_spl),
% 0.13/5.41 inference(backward_demodulation,[status(thm)],[f559,f132])).
% 0.13/5.41 fof(f574,plain,(
% 0.13/5.41 ~multiply(sk_c8,sk_c8)=sk_c7|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ3_spl),
% 0.13/5.41 inference(backward_demodulation,[status(thm)],[f559,f87])).
% 0.13/5.41 fof(f578,plain,(
% 0.13/5.41 ~sk_c7=sk_c7|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ3_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f573,f574])).
% 0.13/5.41 fof(f579,plain,(
% 0.13/5.41 $false|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ3_spl),
% 0.13/5.41 inference(trivial_equality_resolution,[status(thm)],[f578])).
% 0.13/5.41 fof(f580,plain,(
% 0.13/5.41 ~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ3_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f579])).
% 0.13/5.41 fof(f591,plain,(
% 0.13/5.41 sk_c8=multiply(sk_c8,identity)|~sQ10_spl|~sQ9_spl),
% 0.13/5.41 inference(backward_demodulation,[status(thm)],[f568,f516])).
% 0.13/5.41 fof(f644,plain,(
% 0.13/5.41 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c8,X0))|~sQ10_spl|~sQ9_spl|~sQ11_spl)),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f568,f520])).
% 0.13/5.42 fof(f645,plain,(
% 0.13/5.42 ![X0]: (X0=multiply(sk_c6,multiply(sk_c8,X0))|~sQ10_spl|~sQ9_spl|~sQ11_spl)),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f37,f644])).
% 0.13/5.42 fof(f646,plain,(
% 0.13/5.42 ![X0]: (X0=multiply(sk_c8,multiply(sk_c8,X0))|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ11_spl)),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f559,f645])).
% 0.13/5.42 fof(f649,plain,(
% 0.13/5.42 sk_c1=multiply(sk_c8,identity)|~sQ0_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f161,f646])).
% 0.13/5.42 fof(f660,definition,(
% 0.13/5.42 sQ36_spl <=> (sk_c8=sk_c8)),
% 0.13/5.42 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.13/5.42 fof(f662,plain,(
% 0.13/5.42 ~sk_c8=sk_c8|sQ36_spl),
% 0.13/5.42 inference(component_clause,[status(thm)],[f660])).
% 0.13/5.42 fof(f671,plain,(
% 0.13/5.42 inverse(sk_c8)=sk_c8|~sQ0_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.13/5.42 inference(backward_demodulation,[status(thm)],[f672,f121])).
% 0.13/5.42 fof(f672,plain,(
% 0.13/5.42 sk_c1=sk_c8|~sQ0_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f591,f649])).
% 0.13/5.42 fof(f673,plain,(
% 0.13/5.42 $false|sQ25_spl|~sQ0_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.13/5.42 inference(forward_subsumption_resolution,[status(thm)],[f671,f236])).
% 0.13/5.42 fof(f674,plain,(
% 0.13/5.42 sQ25_spl|~sQ0_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.13/5.42 inference(contradiction_clause,[status(thm)],[f673])).
% 0.13/5.42 fof(f675,plain,(
% 0.13/5.42 $false|sQ36_spl),
% 0.13/5.42 inference(trivial_equality_resolution,[status(thm)],[f662])).
% 0.13/5.42 fof(f676,plain,(
% 0.13/5.42 sQ36_spl),
% 0.13/5.42 inference(contradiction_clause,[status(thm)],[f675])).
% 0.13/5.42 fof(f695,plain,(
% 0.13/5.42 ~multiply(sk_c8,sk_c8)=sk_c7|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl|sQ11_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f473,f133])).
% 0.13/5.42 fof(f696,plain,(
% 0.13/5.42 ~multiply(sk_c8,sk_c8)=identity|~sQ23_spl|~sQ4_spl|~sQ5_spl|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl|sQ11_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f218,f695])).
% 0.13/5.42 fof(f708,plain,(
% 0.13/5.42 multiply(sk_c3,identity)=sk_c8|~sQ23_spl|~sQ5_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f218,f94])).
% 0.13/5.42 fof(f709,plain,(
% 0.13/5.42 identity=multiply(inverse(sk_c3),sk_c8)|~sQ23_spl|~sQ5_spl),
% 0.13/5.42 inference(paramodulation,[status(thm)],[f708,f163])).
% 0.13/5.42 fof(f711,plain,(
% 0.13/5.42 identity=multiply(sk_c8,sk_c8)|~sQ4_spl|~sQ23_spl|~sQ5_spl),
% 0.13/5.42 inference(forward_demodulation,[status(thm)],[f90,f709])).
% 0.13/5.42 fof(f712,plain,(
% 0.13/5.42 $false|~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl|sQ11_spl|~sQ4_spl|~sQ23_spl|~sQ5_spl),
% 0.13/5.42 inference(forward_subsumption_resolution,[status(thm)],[f711,f696])).
% 0.13/5.42 fof(f713,plain,(
% 0.13/5.42 ~sQ1_spl|~sQ7_spl|~sQ6_spl|~sQ3_spl|sQ11_spl|~sQ4_spl|~sQ23_spl|~sQ5_spl),
% 0.13/5.42 inference(contradiction_clause,[status(thm)],[f712])).
% 0.13/5.42 fof(f714,plain,(
% 0.13/5.42 $false),
% 0.13/5.42 inference(sat_refutation,[status(thm)],[f80,f84,f88,f92,f96,f100,f104,f112,f113,f114,f115,f116,f117,f118,f119,f123,f124,f125,f126,f127,f128,f129,f130,f134,f136,f137,f138,f139,f140,f151,f187,f203,f227,f240,f261,f276,f477,f485,f495,f513,f565,f580,f674,f676,f713])).
% 0.13/5.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.43 % Elapsed time: 0.070797 seconds
% 0.13/5.43 % CPU time: 0.262667 seconds
% 0.13/5.43 % Total memory used: 105.838 MB
% 0.13/5.43 % Net memory used: 105.400 MB
%------------------------------------------------------------------------------