%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP249-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:19 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP249-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:05:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.44 fof(f1,axiom,(
% 0.14/0.44 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f2,axiom,(
% 0.14/0.44 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f3,axiom,(
% 0.14/0.44 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f4,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f5,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f6,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f7,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f8,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f9,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f10,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c1) = sk_c9| inverse(sk_c8) = sk_c7 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f11,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f12,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f13,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f14,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f15,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f16,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c8) = sk_c7 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f19,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f20,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f21,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f22,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c2) = sk_c8| inverse(sk_c8) = sk_c7 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f23,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c2) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f24,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c2) = sk_c8| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f25,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f26,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f27,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c2) = sk_c8| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f29,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c3) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f30,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c3) = sk_c9| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f31,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c3) = sk_c9| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f32,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c3) = sk_c9| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f33,negated_conjecture,(
% 0.14/0.44 ( inverse(sk_c3) = sk_c9| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f35,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c3,sk_c7) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f36,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c3,sk_c7) = sk_c9| multiply(sk_c4,sk_c8) = sk_c9 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f37,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c3,sk_c7) = sk_c9| multiply(sk_c5,sk_c6) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f38,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c3,sk_c7) = sk_c9| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f39,negated_conjecture,(
% 0.14/0.44 ( multiply(sk_c3,sk_c7) = sk_c9| multiply(sk_c6,sk_c7) = sk_c8 ) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f40,negated_conjecture,(
% 0.14/0.44 (![X4,X5,X6,X1,X3,X2]: (( multiply(X4,sk_c9) != sk_c8| inverse(X4) != sk_c9| multiply(X5,sk_c8) != sk_c7| inverse(X5) != sk_c8| inverse(X6) != sk_c9| multiply(X6,sk_c7) != sk_c9| inverse(sk_c8) != sk_c7| inverse(X1) != sk_c9| multiply(X1,sk_c8) != sk_c9| multiply(X3,X2) != sk_c8| inverse(X3) != X2| multiply(X2,sk_c7) != sk_c8 ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f41,plain,(
% 0.14/0.44 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.44 fof(f42,plain,(
% 0.14/0.44 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.44 fof(f43,plain,(
% 0.14/0.44 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.44 fof(f44,plain,(
% 0.14/0.44 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.44 fof(f45,plain,(
% 0.14/0.44 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.44 fof(f46,plain,(
% 0.14/0.44 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c4,sk_c8)=sk_c9),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.44 fof(f47,plain,(
% 0.14/0.44 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c5,sk_c6)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.44 fof(f48,plain,(
% 0.14/0.44 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c5)=sk_c6),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.44 fof(f49,plain,(
% 0.14/0.44 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c6,sk_c7)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.44 fof(f50,plain,(
% 0.14/0.44 inverse(sk_c1)=sk_c9|inverse(sk_c8)=sk_c7),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.44 fof(f51,plain,(
% 0.14/0.44 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.44 fof(f52,plain,(
% 0.14/0.44 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c8)=sk_c9),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.44 fof(f53,plain,(
% 0.14/0.44 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c6)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.44 fof(f54,plain,(
% 0.14/0.44 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c6),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.44 fof(f55,plain,(
% 0.14/0.44 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c7)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.44 fof(f56,plain,(
% 0.14/0.44 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c8)=sk_c7),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.44 fof(f59,plain,(
% 0.14/0.44 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c5,sk_c6)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.44 fof(f60,plain,(
% 0.14/0.44 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.44 fof(f61,plain,(
% 0.14/0.44 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c6,sk_c7)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.44 fof(f62,plain,(
% 0.14/0.44 inverse(sk_c2)=sk_c8|inverse(sk_c8)=sk_c7),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.44 fof(f63,plain,(
% 0.14/0.44 inverse(sk_c2)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.44 fof(f64,plain,(
% 0.14/0.44 inverse(sk_c2)=sk_c8|multiply(sk_c4,sk_c8)=sk_c9),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.44 fof(f65,plain,(
% 0.14/0.44 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c6)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.44 fof(f66,plain,(
% 0.14/0.44 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c6),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.44 fof(f67,plain,(
% 0.14/0.44 inverse(sk_c2)=sk_c8|multiply(sk_c6,sk_c7)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.44 fof(f69,plain,(
% 0.14/0.44 inverse(sk_c3)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.44 fof(f70,plain,(
% 0.14/0.44 inverse(sk_c3)=sk_c9|multiply(sk_c4,sk_c8)=sk_c9),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.44 fof(f71,plain,(
% 0.14/0.44 inverse(sk_c3)=sk_c9|multiply(sk_c5,sk_c6)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.44 fof(f72,plain,(
% 0.14/0.44 inverse(sk_c3)=sk_c9|inverse(sk_c5)=sk_c6),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.44 fof(f73,plain,(
% 0.14/0.44 inverse(sk_c3)=sk_c9|multiply(sk_c6,sk_c7)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.44 fof(f75,plain,(
% 0.14/0.44 multiply(sk_c3,sk_c7)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f35])).
% 0.14/0.44 fof(f76,plain,(
% 0.14/0.44 multiply(sk_c3,sk_c7)=sk_c9|multiply(sk_c4,sk_c8)=sk_c9),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f36])).
% 0.14/0.44 fof(f77,plain,(
% 0.14/0.44 multiply(sk_c3,sk_c7)=sk_c9|multiply(sk_c5,sk_c6)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f37])).
% 0.14/0.44 fof(f78,plain,(
% 0.14/0.44 multiply(sk_c3,sk_c7)=sk_c9|inverse(sk_c5)=sk_c6),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.44 fof(f79,plain,(
% 0.14/0.44 multiply(sk_c3,sk_c7)=sk_c9|multiply(sk_c6,sk_c7)=sk_c8),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f39])).
% 0.14/0.44 fof(f80,plain,(
% 0.14/0.44 ![X2]: ((![X3]: (((![X1]: ((((![X6]: (((![X5]: (((![X4]: (~multiply(X4,sk_c9)=sk_c8|~inverse(X4)=sk_c9))|~multiply(X5,sk_c8)=sk_c7)|~inverse(X5)=sk_c8))|~inverse(X6)=sk_c9)|~multiply(X6,sk_c7)=sk_c9))|~inverse(sk_c8)=sk_c7)|~inverse(X1)=sk_c9)|~multiply(X1,sk_c8)=sk_c9))|~multiply(X3,X2)=sk_c8)|~inverse(X3)=X2))|~multiply(X2,sk_c7)=sk_c8)),
% 0.14/0.44 inference(miniscoping,[status(thm)],[f40])).
% 0.14/0.44 fof(f81,plain,(
% 0.14/0.44 ![X0,X1,X2,X3,X4,X5]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8|~inverse(X2)=sk_c9|~multiply(X2,sk_c7)=sk_c9|~inverse(sk_c8)=sk_c7|~inverse(X3)=sk_c9|~multiply(X3,sk_c8)=sk_c9|~multiply(X4,X5)=sk_c8|~inverse(X4)=X5|~multiply(X5,sk_c7)=sk_c8)),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f80])).
% 0.14/0.44 fof(f82,definition,(
% 0.14/0.44 sQ0_spl <=> (multiply(sk_c1,sk_c9)=sk_c8)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f83,plain,(
% 0.14/0.44 multiply(sk_c1,sk_c9)=sk_c8|~sQ0_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f82])).
% 0.14/0.44 fof(f85,definition,(
% 0.14/0.44 sQ1_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f86,plain,(
% 0.14/0.44 inverse(sk_c8)=sk_c7|~sQ1_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.44 fof(f87,plain,(
% 0.14/0.44 ~inverse(sk_c8)=sk_c7|sQ1_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f85])).
% 0.14/0.44 fof(f88,plain,(
% 0.14/0.44 sQ0_spl|sQ1_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f44,f82,f85])).
% 0.14/0.44 fof(f89,definition,(
% 0.14/0.44 sQ2_spl <=> (inverse(sk_c4)=sk_c9)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f90,plain,(
% 0.14/0.44 inverse(sk_c4)=sk_c9|~sQ2_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f89])).
% 0.14/0.44 fof(f92,plain,(
% 0.14/0.44 sQ0_spl|sQ2_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.14/0.44 fof(f93,definition,(
% 0.14/0.44 sQ3_spl <=> (multiply(sk_c4,sk_c8)=sk_c9)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f94,plain,(
% 0.14/0.44 multiply(sk_c4,sk_c8)=sk_c9|~sQ3_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.44 fof(f96,plain,(
% 0.14/0.44 sQ0_spl|sQ3_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f46,f82,f93])).
% 0.14/0.44 fof(f97,definition,(
% 0.14/0.44 sQ4_spl <=> (multiply(sk_c5,sk_c6)=sk_c8)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f98,plain,(
% 0.14/0.44 multiply(sk_c5,sk_c6)=sk_c8|~sQ4_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.44 fof(f100,plain,(
% 0.14/0.44 sQ0_spl|sQ4_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f47,f82,f97])).
% 0.14/0.44 fof(f101,definition,(
% 0.14/0.44 sQ5_spl <=> (inverse(sk_c5)=sk_c6)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f102,plain,(
% 0.14/0.44 inverse(sk_c5)=sk_c6|~sQ5_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f101])).
% 0.14/0.44 fof(f104,plain,(
% 0.14/0.44 sQ0_spl|sQ5_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f48,f82,f101])).
% 0.14/0.44 fof(f105,definition,(
% 0.14/0.44 sQ6_spl <=> (multiply(sk_c6,sk_c7)=sk_c8)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f106,plain,(
% 0.14/0.44 multiply(sk_c6,sk_c7)=sk_c8|~sQ6_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f105])).
% 0.14/0.44 fof(f108,plain,(
% 0.14/0.44 sQ0_spl|sQ6_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f49,f82,f105])).
% 0.14/0.44 fof(f109,definition,(
% 0.14/0.44 sQ7_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f110,plain,(
% 0.14/0.44 inverse(sk_c1)=sk_c9|~sQ7_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f109])).
% 0.14/0.44 fof(f112,plain,(
% 0.14/0.44 sQ7_spl|sQ1_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.14/0.44 fof(f113,plain,(
% 0.14/0.44 sQ7_spl|sQ2_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.14/0.44 fof(f114,plain,(
% 0.14/0.44 sQ7_spl|sQ3_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.14/0.44 fof(f115,plain,(
% 0.14/0.44 sQ7_spl|sQ4_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.14/0.44 fof(f116,plain,(
% 0.14/0.44 sQ7_spl|sQ5_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.14/0.44 fof(f117,plain,(
% 0.14/0.44 sQ7_spl|sQ6_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.14/0.44 fof(f118,definition,(
% 0.14/0.44 sQ8_spl <=> (multiply(sk_c2,sk_c8)=sk_c7)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f119,plain,(
% 0.14/0.44 multiply(sk_c2,sk_c8)=sk_c7|~sQ8_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f118])).
% 0.14/0.44 fof(f120,plain,(
% 0.14/0.44 ~multiply(sk_c2,sk_c8)=sk_c7|sQ8_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f118])).
% 0.14/0.44 fof(f121,plain,(
% 0.14/0.44 sQ8_spl|sQ1_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f56,f118,f85])).
% 0.14/0.44 fof(f124,plain,(
% 0.14/0.44 sQ8_spl|sQ4_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f59,f118,f97])).
% 0.14/0.44 fof(f125,plain,(
% 0.14/0.44 sQ8_spl|sQ5_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f60,f118,f101])).
% 0.14/0.44 fof(f126,plain,(
% 0.14/0.44 sQ8_spl|sQ6_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f61,f118,f105])).
% 0.14/0.44 fof(f127,definition,(
% 0.14/0.44 sQ9_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f128,plain,(
% 0.14/0.44 inverse(sk_c2)=sk_c8|~sQ9_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f127])).
% 0.14/0.44 fof(f130,plain,(
% 0.14/0.44 sQ9_spl|sQ1_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f62,f127,f85])).
% 0.14/0.44 fof(f131,plain,(
% 0.14/0.44 sQ9_spl|sQ2_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f63,f127,f89])).
% 0.14/0.44 fof(f132,plain,(
% 0.14/0.44 sQ9_spl|sQ3_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.14/0.44 fof(f133,plain,(
% 0.14/0.44 sQ9_spl|sQ4_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f65,f127,f97])).
% 0.14/0.44 fof(f134,plain,(
% 0.14/0.44 sQ9_spl|sQ5_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f66,f127,f101])).
% 0.14/0.44 fof(f135,plain,(
% 0.14/0.44 sQ9_spl|sQ6_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f67,f127,f105])).
% 0.14/0.44 fof(f136,definition,(
% 0.14/0.44 sQ10_spl <=> (inverse(sk_c3)=sk_c9)),
% 0.14/0.44 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.44 fof(f137,plain,(
% 0.14/0.44 inverse(sk_c3)=sk_c9|~sQ10_spl),
% 0.14/0.44 inference(component_clause,[status(thm)],[f136])).
% 0.14/0.44 fof(f140,plain,(
% 0.14/0.44 sQ10_spl|sQ2_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.14/0.44 fof(f141,plain,(
% 0.14/0.44 sQ10_spl|sQ3_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.14/0.44 fof(f142,plain,(
% 0.14/0.44 sQ10_spl|sQ4_spl),
% 0.14/0.44 inference(split_clause,[status(thm)],[f71,f136,f97])).
% 0.14/0.45 fof(f143,plain,(
% 0.14/0.45 sQ10_spl|sQ5_spl),
% 0.14/0.45 inference(split_clause,[status(thm)],[f72,f136,f101])).
% 0.14/0.45 fof(f144,plain,(
% 0.14/0.45 sQ10_spl|sQ6_spl),
% 0.14/0.45 inference(split_clause,[status(thm)],[f73,f136,f105])).
% 0.14/0.45 fof(f145,definition,(
% 0.14/0.45 sQ11_spl <=> (multiply(sk_c3,sk_c7)=sk_c9)),
% 0.14/0.45 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.45 fof(f146,plain,(
% 0.14/0.45 multiply(sk_c3,sk_c7)=sk_c9|~sQ11_spl),
% 0.14/0.45 inference(component_clause,[status(thm)],[f145])).
% 0.14/0.45 fof(f149,plain,(
% 0.14/0.45 sQ11_spl|sQ2_spl),
% 0.14/0.45 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.14/0.45 fof(f150,plain,(
% 0.14/0.45 sQ11_spl|sQ3_spl),
% 0.14/0.45 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.14/0.45 fof(f151,plain,(
% 0.14/0.45 sQ11_spl|sQ4_spl),
% 0.14/0.45 inference(split_clause,[status(thm)],[f77,f145,f97])).
% 0.14/0.45 fof(f152,plain,(
% 0.14/0.45 sQ11_spl|sQ5_spl),
% 0.14/0.45 inference(split_clause,[status(thm)],[f78,f145,f101])).
% 0.14/0.45 fof(f153,plain,(
% 0.14/0.45 sQ11_spl|sQ6_spl),
% 0.14/0.45 inference(split_clause,[status(thm)],[f79,f145,f105])).
% 0.14/0.45 fof(f154,definition,(
% 0.14/0.45 ![X0]: (sQ12_spl <=> (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9))),
% 0.14/0.45 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.45 fof(f155,plain,(
% 0.14/0.45 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ12_spl)),
% 0.14/0.45 inference(component_clause,[status(thm)],[f154])).
% 0.14/0.45 fof(f157,definition,(
% 0.14/0.45 ![X1]: (sQ13_spl <=> (~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8))),
% 0.14/0.45 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.45 fof(f158,plain,(
% 0.14/0.45 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.14/0.45 inference(component_clause,[status(thm)],[f157])).
% 0.14/0.45 fof(f160,definition,(
% 0.14/0.45 ![X2]: (sQ14_spl <=> (~inverse(X2)=sk_c9|~multiply(X2,sk_c7)=sk_c9))),
% 0.14/0.45 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.45 fof(f161,plain,(
% 0.14/0.45 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c7)=sk_c9|~sQ14_spl)),
% 0.14/0.45 inference(component_clause,[status(thm)],[f160])).
% 0.14/0.45 fof(f163,definition,(
% 0.14/0.45 ![X3]: (sQ15_spl <=> (~inverse(X3)=sk_c9|~multiply(X3,sk_c8)=sk_c9))),
% 0.14/0.45 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.45 fof(f164,plain,(
% 0.14/0.45 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~sQ15_spl)),
% 0.14/0.45 inference(component_clause,[status(thm)],[f163])).
% 0.14/0.45 fof(f166,definition,(
% 0.14/0.45 ![X4,X5]: (sQ16_spl <=> (~multiply(X4,X5)=sk_c8|~inverse(X4)=X5|~multiply(X5,sk_c7)=sk_c8))),
% 0.14/0.45 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.45 fof(f167,plain,(
% 0.14/0.45 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~sQ16_spl)),
% 0.14/0.45 inference(component_clause,[status(thm)],[f166])).
% 0.14/0.45 fof(f169,plain,(
% 0.14/0.45 sQ12_spl|sQ13_spl|sQ14_spl|~sQ1_spl|sQ15_spl|sQ16_spl),
% 0.14/0.45 inference(split_clause,[status(thm)],[f81,f154,f157,f160,f85,f163,f166])).
% 0.14/0.45 fof(f170,plain,(
% 0.14/0.45 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~sQ16_spl)),
% 0.14/0.45 inference(destructive_equality_resolution,[status(thm)],[f167])).
% 0.14/0.45 fof(f174,plain,(
% 0.14/0.45 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~sQ6_spl)),
% 0.14/0.45 inference(paramodulation,[status(thm)],[f106,f43])).
% 0.14/0.45 fof(f195,plain,(
% 0.14/0.45 ~multiply(sk_c5,inverse(sk_c5))=sk_c8|~multiply(sk_c6,sk_c7)=sk_c8|~sQ16_spl|~sQ5_spl),
% 0.14/0.45 inference(paramodulation,[status(thm)],[f102,f170])).
% 0.14/0.45 fof(f197,plain,(
% 0.14/0.45 ~multiply(sk_c2,inverse(sk_c2))=sk_c8|~multiply(sk_c8,sk_c7)=sk_c8|~sQ16_spl|~sQ9_spl),
% 0.14/0.45 inference(paramodulation,[status(thm)],[f128,f170])).
% 0.14/0.45 fof(f206,definition,(
% 0.14/0.45 sQ19_spl <=> (multiply(sk_c5,inverse(sk_c5))=sk_c8)),
% 0.14/0.45 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.45 fof(f208,plain,(
% 0.14/0.45 ~multiply(sk_c5,inverse(sk_c5))=sk_c8|sQ19_spl),
% 0.14/0.45 inference(component_clause,[status(thm)],[f206])).
% 0.14/0.45 fof(f209,plain,(
% 0.14/0.45 ~sQ19_spl|~sQ6_spl|~sQ16_spl|~sQ5_spl),
% 0.14/0.45 inference(split_clause,[status(thm)],[f195,f206,f105,f166,f101])).
% 0.14/0.45 fof(f214,definition,(
% 0.14/0.45 sQ21_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c8)),
% 0.14/0.45 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.45 fof(f216,plain,(
% 0.14/0.45 ~multiply(sk_c2,inverse(sk_c2))=sk_c8|sQ21_spl),
% 0.14/0.45 inference(component_clause,[status(thm)],[f214])).
% 0.14/0.45 fof(f217,definition,(
% 0.14/0.45 sQ22_spl <=> (multiply(sk_c8,sk_c7)=sk_c8)),
% 0.14/0.45 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.45 fof(f219,plain,(
% 0.14/0.45 ~multiply(sk_c8,sk_c7)=sk_c8|sQ22_spl),
% 0.14/0.45 inference(component_clause,[status(thm)],[f217])).
% 0.14/0.45 fof(f220,plain,(
% 0.14/0.45 ~sQ21_spl|~sQ22_spl|~sQ16_spl|~sQ9_spl),
% 0.14/0.45 inference(split_clause,[status(thm)],[f197,f214,f217,f166,f127])).
% 0.14/0.45 fof(f234,plain,(
% 0.14/0.45 ~inverse(sk_c4)=sk_c9|~sk_c9=sk_c9|~sQ15_spl|~sQ3_spl),
% 0.14/0.45 inference(paramodulation,[status(thm)],[f94,f164])).
% 0.14/0.45 fof(f236,definition,(
% 0.14/0.45 sQ24_spl <=> (sk_c9=sk_c9)),
% 0.14/0.45 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.45 fof(f238,plain,(
% 0.14/0.45 ~sk_c9=sk_c9|sQ24_spl),
% 0.14/0.45 inference(component_clause,[status(thm)],[f236])).
% 0.14/0.45 fof(f239,plain,(
% 0.14/0.45 ~sQ2_spl|~sQ24_spl|~sQ15_spl|~sQ3_spl),
% 0.14/0.45 inference(split_clause,[status(thm)],[f234,f89,f236,f163,f93])).
% 0.14/0.45 fof(f247,plain,(
% 0.14/0.45 $false|sQ24_spl),
% 0.14/0.45 inference(trivial_equality_resolution,[status(thm)],[f238])).
% 0.14/0.45 fof(f248,plain,(
% 0.14/0.45 sQ24_spl),
% 0.14/0.45 inference(contradiction_clause,[status(thm)],[f247])).
% 0.14/0.45 fof(f251,plain,(
% 0.14/0.45 multiply(sk_c6,sk_c5)=identity|~sQ5_spl),
% 0.14/0.45 inference(paramodulation,[status(thm)],[f102,f42])).
% 0.14/0.45 fof(f254,plain,(
% 0.14/0.45 multiply(sk_c8,sk_c2)=identity|~sQ9_spl),
% 0.14/0.45 inference(paramodulation,[status(thm)],[f128,f42])).
% 0.14/0.45 fof(f256,plain,(
% 0.14/0.45 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.45 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.14/0.45 fof(f257,plain,(
% 0.14/0.45 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.45 inference(forward_demodulation,[status(thm)],[f41,f256])).
% 0.14/0.45 fof(f265,plain,(
% 0.14/0.45 ~inverse(sk_c3)=sk_c9|~sQ14_spl|~sQ11_spl),
% 0.14/0.45 inference(resolution,[status(thm)],[f161,f146])).
% 0.14/0.45 fof(f271,plain,(
% 0.14/0.45 ~sk_c9=sk_c9|~sQ10_spl|~sQ14_spl|~sQ11_spl),
% 0.14/0.45 inference(forward_demodulation,[status(thm)],[f137,f265])).
% 0.14/0.45 fof(f272,plain,(
% 0.14/0.45 $false|~sQ10_spl|~sQ14_spl|~sQ11_spl),
% 0.14/0.45 inference(trivial_equality_resolution,[status(thm)],[f271])).
% 0.14/0.45 fof(f273,plain,(
% 0.14/0.45 ~sQ10_spl|~sQ14_spl|~sQ11_spl),
% 0.14/0.45 inference(contradiction_clause,[status(thm)],[f272])).
% 0.14/0.45 fof(f274,plain,(
% 0.14/0.45 ~inverse(sk_c2)=sk_c8|~sQ13_spl|~sQ8_spl),
% 0.14/0.45 inference(resolution,[status(thm)],[f158,f119])).
% 0.14/0.45 fof(f276,plain,(
% 0.14/0.45 ~sk_c8=sk_c7|~inverse(identity)=sk_c8|~sQ13_spl),
% 0.14/0.45 inference(paramodulation,[status(thm)],[f41,f158])).
% 0.14/0.45 fof(f280,plain,(
% 0.14/0.45 ~sk_c8=sk_c8|~sQ9_spl|~sQ13_spl|~sQ8_spl),
% 0.14/0.45 inference(forward_demodulation,[status(thm)],[f128,f274])).
% 0.14/0.45 fof(f281,plain,(
% 0.14/0.45 $false|~sQ9_spl|~sQ13_spl|~sQ8_spl),
% 0.14/0.45 inference(trivial_equality_resolution,[status(thm)],[f280])).
% 0.14/0.45 fof(f282,plain,(
% 0.14/0.45 ~sQ9_spl|~sQ13_spl|~sQ8_spl),
% 0.14/0.45 inference(contradiction_clause,[status(thm)],[f281])).
% 0.14/0.45 fof(f284,plain,(
% 0.14/0.45 ~identity=sk_c8|~inverse(inverse(sk_c9))=sk_c9|~sQ12_spl),
% 0.14/0.45 inference(paramodulation,[status(thm)],[f42,f155])).
% 0.14/0.45 fof(f285,plain,(
% 0.14/0.45 ~sk_c9=sk_c8|~inverse(identity)=sk_c9|~sQ12_spl),
% 0.14/0.45 inference(paramodulation,[status(thm)],[f41,f155])).
% 0.14/0.45 fof(f287,plain,(
% 0.14/0.45 ~sk_c8=sk_c8|~inverse(sk_c1)=sk_c9|~sQ12_spl|~sQ0_spl),
% 0.14/0.45 inference(paramodulation,[status(thm)],[f83,f155])).
% 0.14/0.46 fof(f288,definition,(
% 0.14/0.46 sQ27_spl <=> (identity=sk_c8)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f290,plain,(
% 0.14/0.46 ~identity=sk_c8|sQ27_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f288])).
% 0.14/0.46 fof(f291,definition,(
% 0.14/0.46 sQ28_spl <=> (inverse(inverse(sk_c9))=sk_c9)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f294,plain,(
% 0.14/0.46 ~sQ27_spl|~sQ28_spl|~sQ12_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f284,f288,f291,f154])).
% 0.14/0.46 fof(f295,definition,(
% 0.14/0.46 sQ29_spl <=> (sk_c9=sk_c8)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f298,definition,(
% 0.14/0.46 sQ30_spl <=> (inverse(identity)=sk_c9)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f301,plain,(
% 0.14/0.46 ~sQ29_spl|~sQ30_spl|~sQ12_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f285,f295,f298,f154])).
% 0.14/0.46 fof(f302,definition,(
% 0.14/0.46 sQ31_spl <=> (sk_c8=sk_c8)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f304,plain,(
% 0.14/0.46 ~sk_c8=sk_c8|sQ31_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f302])).
% 0.14/0.46 fof(f305,plain,(
% 0.14/0.46 ~sQ31_spl|~sQ7_spl|~sQ12_spl|~sQ0_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f287,f302,f109,f154,f82])).
% 0.14/0.46 fof(f306,plain,(
% 0.14/0.46 $false|sQ31_spl),
% 0.14/0.46 inference(trivial_equality_resolution,[status(thm)],[f304])).
% 0.14/0.46 fof(f307,plain,(
% 0.14/0.46 sQ31_spl),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f306])).
% 0.14/0.46 fof(f315,definition,(
% 0.14/0.46 sQ34_spl <=> (sk_c8=sk_c7)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f317,plain,(
% 0.14/0.46 ~sk_c8=sk_c7|sQ34_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f315])).
% 0.14/0.46 fof(f318,definition,(
% 0.14/0.46 sQ35_spl <=> (inverse(identity)=sk_c8)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f321,plain,(
% 0.14/0.46 ~sQ34_spl|~sQ35_spl|~sQ13_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f276,f315,f318,f157])).
% 0.14/0.46 fof(f326,definition,(
% 0.14/0.46 sQ37_spl <=> (sk_c7=sk_c7)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f328,plain,(
% 0.14/0.46 ~sk_c7=sk_c7|sQ37_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f326])).
% 0.14/0.46 fof(f330,plain,(
% 0.14/0.46 $false|sQ37_spl),
% 0.14/0.46 inference(trivial_equality_resolution,[status(thm)],[f328])).
% 0.14/0.46 fof(f331,plain,(
% 0.14/0.46 sQ37_spl),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f330])).
% 0.14/0.46 fof(f336,plain,(
% 0.14/0.46 ~multiply(sk_c5,sk_c6)=sk_c8|~sQ5_spl|sQ19_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f102,f208])).
% 0.14/0.46 fof(f337,plain,(
% 0.14/0.46 ~sk_c8=sk_c8|~sQ4_spl|~sQ5_spl|sQ19_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f98,f336])).
% 0.14/0.46 fof(f338,plain,(
% 0.14/0.46 $false|~sQ4_spl|~sQ5_spl|sQ19_spl),
% 0.14/0.46 inference(trivial_equality_resolution,[status(thm)],[f337])).
% 0.14/0.46 fof(f339,plain,(
% 0.14/0.46 ~sQ4_spl|~sQ5_spl|sQ19_spl),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f338])).
% 0.14/0.46 fof(f351,plain,(
% 0.14/0.46 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f41,f257])).
% 0.14/0.46 fof(f354,plain,(
% 0.14/0.46 sk_c8=multiply(inverse(sk_c4),sk_c9)|~sQ3_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f94,f257])).
% 0.14/0.46 fof(f356,plain,(
% 0.14/0.46 sk_c6=multiply(inverse(sk_c5),sk_c8)|~sQ4_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f98,f257])).
% 0.14/0.46 fof(f360,plain,(
% 0.14/0.46 sk_c8=multiply(sk_c9,sk_c9)|~sQ2_spl|~sQ3_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f90,f354])).
% 0.14/0.46 fof(f362,plain,(
% 0.14/0.46 sk_c6=multiply(sk_c6,sk_c8)|~sQ5_spl|~sQ4_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f102,f356])).
% 0.14/0.46 fof(f378,plain,(
% 0.14/0.46 ~sk_c9=sk_c8|~inverse(inverse(identity))=sk_c9|~sQ12_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f351,f155])).
% 0.14/0.46 fof(f381,definition,(
% 0.14/0.46 sQ38_spl <=> (inverse(inverse(identity))=sk_c9)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f384,plain,(
% 0.14/0.46 ~sQ29_spl|~sQ38_spl|~sQ12_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f378,f295,f381,f154])).
% 0.14/0.46 fof(f386,plain,(
% 0.14/0.46 ~sk_c8=sk_c8|~inverse(sk_c9)=sk_c9|~sQ12_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f360,f155])).
% 0.14/0.46 fof(f389,definition,(
% 0.14/0.46 sQ39_spl <=> (inverse(sk_c9)=sk_c9)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f392,plain,(
% 0.14/0.46 ~sQ31_spl|~sQ39_spl|~sQ12_spl|~sQ2_spl|~sQ3_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f386,f302,f389,f154,f89,f93])).
% 0.14/0.46 fof(f394,plain,(
% 0.14/0.46 sk_c8=multiply(inverse(sk_c6),sk_c6)|~sQ5_spl|~sQ4_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f362,f257])).
% 0.14/0.46 fof(f397,plain,(
% 0.14/0.46 sk_c8=identity|~sQ5_spl|~sQ4_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f42,f394])).
% 0.14/0.46 fof(f398,plain,(
% 0.14/0.46 $false|sQ27_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.46 inference(forward_subsumption_resolution,[status(thm)],[f397,f290])).
% 0.14/0.46 fof(f399,plain,(
% 0.14/0.46 sQ27_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f398])).
% 0.14/0.46 fof(f400,plain,(
% 0.14/0.46 ![X0]: (X0=multiply(inverse(sk_c8),X0)|~sQ5_spl|~sQ4_spl)),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f397,f351])).
% 0.14/0.46 fof(f406,plain,(
% 0.14/0.46 multiply(sk_c6,sk_c5)=sk_c8|~sQ4_spl|~sQ5_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f397,f251])).
% 0.14/0.46 fof(f407,plain,(
% 0.14/0.46 ![X0]: (multiply(inverse(X0),X0)=sk_c8|~sQ5_spl|~sQ4_spl)),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f397,f42])).
% 0.14/0.46 fof(f408,plain,(
% 0.14/0.46 ![X0]: (multiply(sk_c8,X0)=X0|~sQ5_spl|~sQ4_spl)),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f397,f41])).
% 0.14/0.46 fof(f409,plain,(
% 0.14/0.46 ![X0]: (X0=multiply(sk_c7,X0)|~sQ1_spl|~sQ5_spl|~sQ4_spl)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f86,f400])).
% 0.14/0.46 fof(f423,plain,(
% 0.14/0.46 sk_c9=multiply(inverse(sk_c1),sk_c8)|~sQ0_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f83,f257])).
% 0.14/0.46 fof(f429,plain,(
% 0.14/0.46 ~sk_c8=sk_c7|~inverse(sk_c8)=sk_c8|~sQ13_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f408,f158])).
% 0.14/0.46 fof(f434,definition,(
% 0.14/0.46 sQ40_spl <=> (inverse(sk_c8)=sk_c8)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f435,plain,(
% 0.14/0.46 inverse(sk_c8)=sk_c8|~sQ40_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f434])).
% 0.14/0.46 fof(f436,plain,(
% 0.14/0.46 ~inverse(sk_c8)=sk_c8|sQ40_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f434])).
% 0.14/0.46 fof(f437,plain,(
% 0.14/0.46 ~sQ34_spl|~sQ40_spl|~sQ13_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f429,f315,f434,f157,f101,f97])).
% 0.14/0.46 fof(f442,definition,(
% 0.14/0.46 sQ42_spl <=> (sk_c6=sk_c7)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f443,plain,(
% 0.14/0.46 sk_c6=sk_c7|~sQ42_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f442])).
% 0.14/0.46 fof(f444,plain,(
% 0.14/0.46 ~sk_c6=sk_c7|sQ42_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f442])).
% 0.14/0.46 fof(f450,plain,(
% 0.14/0.46 ~sk_c7=sk_c8|~sQ1_spl|sQ40_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f86,f436])).
% 0.14/0.46 fof(f459,plain,(
% 0.14/0.46 ![X0]: (X0=multiply(sk_c6,multiply(sk_c7,X0))|~sQ5_spl|~sQ4_spl|~sQ6_spl)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f408,f174])).
% 0.14/0.46 fof(f460,plain,(
% 0.14/0.46 sk_c6=sk_c8|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f462,f362])).
% 0.14/0.46 fof(f461,plain,(
% 0.14/0.46 sk_c7=sk_c8|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ6_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f462,f106])).
% 0.14/0.46 fof(f462,plain,(
% 0.14/0.46 ![X0]: (X0=multiply(sk_c6,X0)|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ6_spl)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f409,f459])).
% 0.14/0.46 fof(f466,plain,(
% 0.14/0.46 $false|sQ34_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ6_spl),
% 0.14/0.46 inference(forward_subsumption_resolution,[status(thm)],[f461,f317])).
% 0.14/0.46 fof(f467,plain,(
% 0.14/0.46 sQ34_spl|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ6_spl),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f466])).
% 0.14/0.46 fof(f474,plain,(
% 0.14/0.46 inverse(sk_c6)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f460,f86])).
% 0.14/0.46 fof(f475,plain,(
% 0.14/0.46 multiply(sk_c4,sk_c6)=sk_c9|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f460,f94])).
% 0.14/0.46 fof(f479,plain,(
% 0.14/0.46 sk_c7=sk_c6|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ6_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f460,f461])).
% 0.14/0.46 fof(f481,plain,(
% 0.14/0.46 ![X0]: (~multiply(X0,sk_c9)=sk_c6|~inverse(X0)=sk_c9|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ12_spl)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f460,f155])).
% 0.14/0.46 fof(f491,plain,(
% 0.14/0.46 inverse(sk_c6)=sk_c6|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f479,f474])).
% 0.14/0.46 fof(f494,plain,(
% 0.14/0.46 sk_c5=sk_c8|~sQ1_spl|~sQ6_spl|~sQ4_spl|~sQ5_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f462,f406])).
% 0.14/0.46 fof(f496,plain,(
% 0.14/0.46 sk_c5=sk_c6|~sQ1_spl|~sQ6_spl|~sQ4_spl|~sQ5_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f460,f494])).
% 0.14/0.46 fof(f509,definition,(
% 0.14/0.46 sQ46_spl <=> (sk_c6=sk_c6)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f511,plain,(
% 0.14/0.46 ~sk_c6=sk_c6|sQ46_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f509])).
% 0.14/0.46 fof(f576,plain,(
% 0.14/0.46 $false|sQ46_spl),
% 0.14/0.46 inference(trivial_equality_resolution,[status(thm)],[f511])).
% 0.14/0.46 fof(f577,plain,(
% 0.14/0.46 sQ46_spl),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f576])).
% 0.14/0.46 fof(f640,plain,(
% 0.14/0.46 ~sk_c6=sk_c6|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ6_spl|sQ42_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f479,f444])).
% 0.14/0.46 fof(f641,plain,(
% 0.14/0.46 $false|~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ6_spl|sQ42_spl),
% 0.14/0.46 inference(trivial_equality_resolution,[status(thm)],[f640])).
% 0.14/0.46 fof(f642,plain,(
% 0.14/0.46 ~sQ1_spl|~sQ5_spl|~sQ4_spl|~sQ6_spl|sQ42_spl),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f641])).
% 0.14/0.46 fof(f653,plain,(
% 0.14/0.46 ~sQ34_spl|~sQ1_spl|sQ40_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f450,f315,f85,f434])).
% 0.14/0.46 fof(f698,plain,(
% 0.14/0.46 sk_c8=multiply(inverse(sk_c2),sk_c7)|~sQ8_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f119,f257])).
% 0.14/0.46 fof(f700,plain,(
% 0.14/0.46 sk_c8=multiply(sk_c8,sk_c7)|~sQ9_spl|~sQ8_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f128,f698])).
% 0.14/0.46 fof(f734,plain,(
% 0.14/0.46 sk_c2=multiply(inverse(sk_c8),identity)|~sQ9_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f254,f257])).
% 0.14/0.46 fof(f736,plain,(
% 0.14/0.46 sk_c2=multiply(sk_c7,identity)|~sQ1_spl|~sQ9_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f86,f734])).
% 0.14/0.46 fof(f752,plain,(
% 0.14/0.46 ~multiply(sk_c2,sk_c8)=sk_c8|~sQ9_spl|sQ21_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f128,f216])).
% 0.14/0.46 fof(f753,plain,(
% 0.14/0.46 ~sk_c7=sk_c8|~sQ8_spl|~sQ9_spl|sQ21_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f119,f752])).
% 0.14/0.46 fof(f754,plain,(
% 0.14/0.46 sk_c7=multiply(inverse(sk_c8),sk_c8)|~sQ9_spl|~sQ8_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f700,f257])).
% 0.14/0.46 fof(f756,plain,(
% 0.14/0.46 sk_c7=identity|~sQ9_spl|~sQ8_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f42,f754])).
% 0.14/0.46 fof(f758,plain,(
% 0.14/0.46 multiply(sk_c8,sk_c2)=sk_c7|~sQ8_spl|~sQ9_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f756,f254])).
% 0.14/0.46 fof(f764,plain,(
% 0.14/0.46 ![X0]: (multiply(inverse(X0),X0)=sk_c7|~sQ9_spl|~sQ8_spl)),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f756,f42])).
% 0.14/0.46 fof(f765,plain,(
% 0.14/0.46 ![X0]: (multiply(sk_c7,X0)=X0|~sQ9_spl|~sQ8_spl)),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f756,f41])).
% 0.14/0.46 fof(f771,plain,(
% 0.14/0.46 sk_c7=sk_c2|~sQ1_spl|~sQ9_spl|~sQ8_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f772,f756])).
% 0.14/0.46 fof(f772,plain,(
% 0.14/0.46 sk_c2=identity|~sQ8_spl|~sQ1_spl|~sQ9_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f765,f736])).
% 0.14/0.46 fof(f773,plain,(
% 0.14/0.46 ![X0]: (multiply(sk_c2,X0)=X0|~sQ1_spl|~sQ9_spl|~sQ8_spl)),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f771,f765])).
% 0.14/0.46 fof(f779,plain,(
% 0.14/0.46 multiply(sk_c3,sk_c2)=sk_c9|~sQ1_spl|~sQ9_spl|~sQ8_spl|~sQ11_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f771,f146])).
% 0.14/0.46 fof(f780,plain,(
% 0.14/0.46 inverse(sk_c8)=sk_c2|~sQ9_spl|~sQ8_spl|~sQ1_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f771,f86])).
% 0.14/0.46 fof(f781,plain,(
% 0.14/0.46 ~sk_c8=sk_c2|~sQ1_spl|~sQ9_spl|~sQ8_spl|sQ34_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f771,f317])).
% 0.14/0.46 fof(f809,plain,(
% 0.14/0.46 ![X0]: (multiply(inverse(X0),X0)=sk_c2|~sQ1_spl|~sQ9_spl|~sQ8_spl)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f771,f764])).
% 0.14/0.46 fof(f811,plain,(
% 0.14/0.46 multiply(sk_c2,sk_c8)=sk_c2|~sQ9_spl|~sQ8_spl|~sQ1_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f780,f809])).
% 0.14/0.46 fof(f818,plain,(
% 0.14/0.46 sk_c8=sk_c2|~sQ9_spl|~sQ8_spl|~sQ1_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f773,f811])).
% 0.14/0.46 fof(f819,plain,(
% 0.14/0.46 $false|sQ34_spl|~sQ9_spl|~sQ8_spl|~sQ1_spl),
% 0.14/0.46 inference(forward_subsumption_resolution,[status(thm)],[f818,f781])).
% 0.14/0.46 fof(f820,plain,(
% 0.14/0.46 sQ34_spl|~sQ9_spl|~sQ8_spl|~sQ1_spl),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f819])).
% 0.14/0.46 fof(f864,plain,(
% 0.14/0.46 ~sQ34_spl|~sQ8_spl|~sQ9_spl|sQ21_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f753,f315,f118,f127,f214])).
% 0.14/0.46 fof(f877,plain,(
% 0.14/0.46 sk_c2=sk_c8|~sQ9_spl|~sQ8_spl|~sQ1_spl|~sQ40_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f780,f435])).
% 0.14/0.46 fof(f889,plain,(
% 0.14/0.46 sk_c6=multiply(inverse(sk_c4),sk_c9)|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f475,f257])).
% 0.14/0.46 fof(f890,plain,(
% 0.14/0.46 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c4,multiply(sk_c6,X0))|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f475,f43])).
% 0.14/0.46 fof(f891,plain,(
% 0.14/0.46 sk_c6=multiply(sk_c9,sk_c9)|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f90,f889])).
% 0.14/0.46 fof(f893,plain,(
% 0.14/0.46 inverse(sk_c2)=sk_c6|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ9_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f460,f128])).
% 0.14/0.46 fof(f926,plain,(
% 0.14/0.46 inverse(sk_c6)=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f460,f86])).
% 0.14/0.46 fof(f927,plain,(
% 0.14/0.46 sk_c6=sk_c7|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f491,f926])).
% 0.14/0.46 fof(f931,plain,(
% 0.14/0.46 ![X0]: (X0=multiply(sk_c6,multiply(sk_c2,X0))|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ9_spl)),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f893,f257])).
% 0.14/0.46 fof(f932,plain,(
% 0.14/0.46 ![X0]: (X0=multiply(sk_c2,X0)|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ9_spl)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f462,f931])).
% 0.14/0.46 fof(f973,plain,(
% 0.14/0.46 sk_c5=identity|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f462,f251])).
% 0.14/0.46 fof(f974,plain,(
% 0.14/0.46 sk_c6=identity|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f496,f973])).
% 0.14/0.46 fof(f975,plain,(
% 0.14/0.46 ![X0]: (multiply(inverse(X0),X0)=sk_c6|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f460,f407])).
% 0.14/0.46 fof(f977,plain,(
% 0.14/0.46 multiply(sk_c6,sk_c2)=sk_c6|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ9_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f893,f975])).
% 0.14/0.46 fof(f984,plain,(
% 0.14/0.46 sk_c2=sk_c6|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ9_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f462,f977])).
% 0.14/0.46 fof(f1000,plain,(
% 0.14/0.46 sk_c2=sk_c7|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ9_spl|~sQ42_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f984,f443])).
% 0.14/0.46 fof(f1002,plain,(
% 0.14/0.46 sk_c2=sk_c8|~sQ9_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f984,f460])).
% 0.14/0.46 fof(f1025,plain,(
% 0.14/0.46 ~sk_c8=sk_c7|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ9_spl|sQ8_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f932,f120])).
% 0.14/0.46 fof(f1026,plain,(
% 0.14/0.46 ~sk_c2=sk_c7|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ9_spl|sQ8_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f1002,f1025])).
% 0.14/0.46 fof(f1027,plain,(
% 0.14/0.46 ~sk_c2=sk_c2|~sQ42_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ9_spl|sQ8_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f1000,f1026])).
% 0.14/0.46 fof(f1028,plain,(
% 0.14/0.46 $false|~sQ42_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ9_spl|sQ8_spl),
% 0.14/0.46 inference(trivial_equality_resolution,[status(thm)],[f1027])).
% 0.14/0.46 fof(f1029,plain,(
% 0.14/0.46 ~sQ42_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ9_spl|sQ8_spl),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f1028])).
% 0.14/0.46 fof(f1228,definition,(
% 0.14/0.46 sQ59_spl <=> (sk_c2=sk_c2)),
% 0.14/0.46 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.14/0.46 fof(f1230,plain,(
% 0.14/0.46 ~sk_c2=sk_c2|sQ59_spl),
% 0.14/0.46 inference(component_clause,[status(thm)],[f1228])).
% 0.14/0.46 fof(f1235,plain,(
% 0.14/0.46 $false|sQ59_spl),
% 0.14/0.46 inference(trivial_equality_resolution,[status(thm)],[f1230])).
% 0.14/0.46 fof(f1236,plain,(
% 0.14/0.46 sQ59_spl),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f1235])).
% 0.14/0.46 fof(f1329,plain,(
% 0.14/0.46 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c2)=sk_c9|~sQ9_spl|~sQ8_spl|~sQ1_spl|~sQ40_spl|~sQ15_spl)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f877,f164])).
% 0.14/0.46 fof(f1347,plain,(
% 0.14/0.46 ~inverse(sk_c3)=sk_c9|~sQ11_spl|~sQ9_spl|~sQ8_spl|~sQ1_spl|~sQ40_spl|~sQ15_spl),
% 0.14/0.46 inference(resolution,[status(thm)],[f779,f1329])).
% 0.14/0.46 fof(f1351,plain,(
% 0.14/0.46 ~sQ10_spl|~sQ11_spl|~sQ9_spl|~sQ8_spl|~sQ1_spl|~sQ40_spl|~sQ15_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f1347,f136,f145,f127,f118,f85,f434,f163])).
% 0.14/0.46 fof(f1358,plain,(
% 0.14/0.46 ~multiply(sk_c2,sk_c7)=sk_c8|~sQ9_spl|~sQ8_spl|~sQ1_spl|~sQ40_spl|sQ22_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f877,f219])).
% 0.14/0.46 fof(f1359,plain,(
% 0.14/0.46 ~sk_c7=sk_c8|~sQ9_spl|~sQ8_spl|~sQ1_spl|~sQ40_spl|sQ22_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f773,f1358])).
% 0.14/0.46 fof(f1360,plain,(
% 0.14/0.46 ~sk_c2=sk_c8|~sQ9_spl|~sQ8_spl|~sQ1_spl|~sQ40_spl|sQ22_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f771,f1359])).
% 0.14/0.46 fof(f1361,plain,(
% 0.14/0.46 ~sk_c2=sk_c2|~sQ9_spl|~sQ8_spl|~sQ1_spl|~sQ40_spl|sQ22_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f877,f1360])).
% 0.14/0.46 fof(f1362,plain,(
% 0.14/0.46 $false|~sQ9_spl|~sQ8_spl|~sQ1_spl|~sQ40_spl|sQ22_spl),
% 0.14/0.46 inference(trivial_equality_resolution,[status(thm)],[f1361])).
% 0.14/0.46 fof(f1363,plain,(
% 0.14/0.46 ~sQ9_spl|~sQ8_spl|~sQ1_spl|~sQ40_spl|sQ22_spl),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f1362])).
% 0.14/0.46 fof(f1372,plain,(
% 0.14/0.46 sk_c8=sk_c6|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f974,f397])).
% 0.14/0.46 fof(f1377,plain,(
% 0.14/0.46 ![X0]: (multiply(sk_c6,X0)=X0|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f1372,f408])).
% 0.14/0.46 fof(f1520,plain,(
% 0.14/0.46 sk_c6=multiply(sk_c4,sk_c9)|~sQ2_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f1523,f891])).
% 0.14/0.46 fof(f1523,plain,(
% 0.14/0.46 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c4,X0)|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f1377,f890])).
% 0.14/0.46 fof(f1543,plain,(
% 0.14/0.46 ~inverse(sk_c4)=sk_c9|~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ12_spl),
% 0.14/0.46 inference(resolution,[status(thm)],[f1520,f481])).
% 0.14/0.46 fof(f1547,plain,(
% 0.14/0.46 ~sQ2_spl|~sQ3_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ12_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f1543,f89,f93,f85,f105,f101,f97,f154])).
% 0.14/0.46 fof(f1554,plain,(
% 0.14/0.46 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c6)=sk_c9|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ1_spl|~sQ14_spl)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f927,f161])).
% 0.14/0.46 fof(f1572,plain,(
% 0.14/0.46 ~inverse(sk_c4)=sk_c9|~sQ14_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.46 inference(resolution,[status(thm)],[f1554,f475])).
% 0.14/0.46 fof(f1580,plain,(
% 0.14/0.46 ~sQ2_spl|~sQ14_spl|~sQ1_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl|~sQ3_spl),
% 0.14/0.46 inference(split_clause,[status(thm)],[f1572,f89,f160,f85,f105,f101,f97,f93])).
% 0.14/0.46 fof(f1599,plain,(
% 0.14/0.46 ![X0]: (multiply(sk_c7,X0)=X0|~sQ9_spl|~sQ8_spl)),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f756,f41])).
% 0.14/0.46 fof(f1663,plain,(
% 0.14/0.46 sk_c9=multiply(sk_c9,sk_c8)|~sQ7_spl|~sQ0_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f110,f423])).
% 0.14/0.46 fof(f1665,plain,(
% 0.14/0.46 sk_c8=multiply(inverse(sk_c9),sk_c9)|~sQ7_spl|~sQ0_spl),
% 0.14/0.46 inference(paramodulation,[status(thm)],[f1663,f257])).
% 0.14/0.46 fof(f1668,plain,(
% 0.14/0.46 sk_c8=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f764,f1665])).
% 0.14/0.46 fof(f1675,plain,(
% 0.14/0.46 multiply(sk_c7,sk_c2)=sk_c7|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f1668,f758])).
% 0.14/0.46 fof(f1683,plain,(
% 0.14/0.46 inverse(sk_c2)=sk_c7|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f1668,f128])).
% 0.14/0.46 fof(f1684,plain,(
% 0.14/0.46 ~inverse(sk_c7)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ1_spl),
% 0.14/0.46 inference(backward_demodulation,[status(thm)],[f1668,f87])).
% 0.14/0.46 fof(f1689,plain,(
% 0.14/0.46 sk_c2=sk_c7|~sQ7_spl|~sQ0_spl|~sQ8_spl|~sQ9_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f1599,f1675])).
% 0.14/0.46 fof(f1709,plain,(
% 0.14/0.46 inverse(sk_c2)=sk_c2|~sQ8_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f1689,f1683])).
% 0.14/0.46 fof(f1711,plain,(
% 0.14/0.46 ~inverse(sk_c2)=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ1_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f1689,f1684])).
% 0.14/0.46 fof(f1712,plain,(
% 0.14/0.46 ~sk_c2=sk_c7|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ1_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f1709,f1711])).
% 0.14/0.46 fof(f1713,plain,(
% 0.14/0.46 ~sk_c2=sk_c2|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ1_spl),
% 0.14/0.46 inference(forward_demodulation,[status(thm)],[f1689,f1712])).
% 0.14/0.46 fof(f1714,plain,(
% 0.14/0.46 $false|~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ1_spl),
% 0.14/0.46 inference(trivial_equality_resolution,[status(thm)],[f1713])).
% 0.14/0.46 fof(f1715,plain,(
% 0.14/0.46 ~sQ9_spl|~sQ8_spl|~sQ7_spl|~sQ0_spl|sQ1_spl),
% 0.14/0.46 inference(contradiction_clause,[status(thm)],[f1714])).
% 0.14/0.46 fof(f1716,plain,(
% 0.14/0.46 $false),
% 0.14/0.46 inference(sat_refutation,[status(thm)],[f88,f92,f96,f100,f104,f108,f112,f113,f114,f115,f116,f117,f121,f124,f125,f126,f130,f131,f132,f133,f134,f135,f140,f141,f142,f143,f144,f149,f150,f151,f152,f153,f169,f209,f220,f239,f248,f273,f282,f294,f301,f305,f307,f321,f331,f339,f384,f392,f399,f437,f467,f577,f642,f653,f820,f864,f1029,f1236,f1351,f1363,f1547,f1580,f1715])).
% 0.14/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.48 % Elapsed time: 0.108210 seconds
% 0.14/0.48 % CPU time: 0.452044 seconds
% 0.14/0.48 % Total memory used: 108.220 MB
% 0.14/0.48 % Net memory used: 107.946 MB
%------------------------------------------------------------------------------