%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP247-1 : 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 : n004.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 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP247-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:07:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f1,axiom,(
% 0.10/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f2,axiom,(
% 0.10/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f3,axiom,(
% 0.10/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f4,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f5,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f6,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f7,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f8,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f9,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c1,sk_c9) = sk_c8| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f10,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f11,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f12,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f13,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f14,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f15,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f18,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f19,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f20,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c8) = sk_c7| inverse(sk_c6) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f21,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c2,sk_c8) = sk_c7| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f24,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f25,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f26,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f27,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c2) = sk_c8| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f28,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c3) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f29,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c3) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f30,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c3) = sk_c9| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f31,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c3) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f32,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c3) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f33,negated_conjecture,(
% 0.10/0.40 ( inverse(sk_c3) = sk_c9| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f34,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f35,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f36,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f37,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f38,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f39,negated_conjecture,(
% 0.10/0.40 ( multiply(sk_c3,sk_c7) = sk_c9| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f40,negated_conjecture,(
% 0.10/0.40 (![X4,X5,X6,X1,X2,X3]: (( 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| multiply(X1,sk_c9) != sk_c8| inverse(X1) != sk_c9| multiply(X2,sk_c8) != sk_c7| inverse(X2) != sk_c8| inverse(X3) != sk_c9| multiply(X3,sk_c8) != sk_c9 ) ))),
% 0.10/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f41,plain,(
% 0.10/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.40 fof(f42,plain,(
% 0.10/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.40 fof(f43,plain,(
% 0.10/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.40 fof(f44,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.40 fof(f45,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.40 fof(f46,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f47,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.40 fof(f48,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c9)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.40 fof(f49,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c9)=sk_c8|multiply(sk_c6,sk_c8)=sk_c9),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.40 fof(f50,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.40 fof(f51,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.40 fof(f52,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.40 fof(f53,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.40 fof(f54,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.40 fof(f55,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c8)=sk_c9),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.40 fof(f58,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.10/0.40 fof(f59,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.10/0.40 fof(f60,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c8)=sk_c7|inverse(sk_c6)=sk_c9),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f20])).
% 0.10/0.40 fof(f61,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c8)=sk_c7|multiply(sk_c6,sk_c8)=sk_c9),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.10/0.40 fof(f64,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.10/0.40 fof(f65,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.40 fof(f66,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.40 fof(f67,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c8|multiply(sk_c6,sk_c8)=sk_c9),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.10/0.40 fof(f68,plain,(
% 0.10/0.40 inverse(sk_c3)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.40 fof(f69,plain,(
% 0.10/0.40 inverse(sk_c3)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.10/0.40 fof(f70,plain,(
% 0.10/0.40 inverse(sk_c3)=sk_c9|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.10/0.40 fof(f71,plain,(
% 0.10/0.40 inverse(sk_c3)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.10/0.40 fof(f72,plain,(
% 0.10/0.40 inverse(sk_c3)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.10/0.40 fof(f73,plain,(
% 0.10/0.40 inverse(sk_c3)=sk_c9|multiply(sk_c6,sk_c8)=sk_c9),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.10/0.40 fof(f74,plain,(
% 0.10/0.40 multiply(sk_c3,sk_c7)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f34])).
% 0.10/0.40 fof(f75,plain,(
% 0.10/0.40 multiply(sk_c3,sk_c7)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f35])).
% 0.10/0.40 fof(f76,plain,(
% 0.10/0.40 multiply(sk_c3,sk_c7)=sk_c9|multiply(sk_c5,sk_c8)=sk_c7),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f36])).
% 0.10/0.40 fof(f77,plain,(
% 0.10/0.40 multiply(sk_c3,sk_c7)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f37])).
% 0.10/0.40 fof(f78,plain,(
% 0.10/0.40 multiply(sk_c3,sk_c7)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f38])).
% 0.10/0.40 fof(f79,plain,(
% 0.10/0.40 multiply(sk_c3,sk_c7)=sk_c9|multiply(sk_c6,sk_c8)=sk_c9),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f39])).
% 0.10/0.40 fof(f80,plain,(
% 0.10/0.40 ![X3]: (((![X2]: (((![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))|~multiply(X1,sk_c9)=sk_c8)|~inverse(X1)=sk_c9))|~multiply(X2,sk_c8)=sk_c7)|~inverse(X2)=sk_c8))|~inverse(X3)=sk_c9)|~multiply(X3,sk_c8)=sk_c9)),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f40])).
% 0.10/0.40 fof(f81,plain,(
% 0.10/0.40 ![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|~multiply(X3,sk_c9)=sk_c8|~inverse(X3)=sk_c9|~multiply(X4,sk_c8)=sk_c7|~inverse(X4)=sk_c8|~inverse(X5)=sk_c9|~multiply(X5,sk_c8)=sk_c9)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f80])).
% 0.10/0.40 fof(f82,definition,(
% 0.10/0.40 sQ0_spl <=> (multiply(sk_c1,sk_c9)=sk_c8)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f83,plain,(
% 0.10/0.40 multiply(sk_c1,sk_c9)=sk_c8|~sQ0_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f82])).
% 0.10/0.40 fof(f85,definition,(
% 0.10/0.40 sQ1_spl <=> (multiply(sk_c4,sk_c9)=sk_c8)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f86,plain,(
% 0.10/0.40 multiply(sk_c4,sk_c9)=sk_c8|~sQ1_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f85])).
% 0.10/0.40 fof(f88,plain,(
% 0.10/0.40 sQ0_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f44,f82,f85])).
% 0.10/0.40 fof(f89,definition,(
% 0.10/0.40 sQ2_spl <=> (inverse(sk_c4)=sk_c9)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f90,plain,(
% 0.10/0.40 inverse(sk_c4)=sk_c9|~sQ2_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f89])).
% 0.10/0.40 fof(f92,plain,(
% 0.10/0.40 sQ0_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.10/0.40 fof(f93,definition,(
% 0.10/0.40 sQ3_spl <=> (multiply(sk_c5,sk_c8)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f94,plain,(
% 0.10/0.40 multiply(sk_c5,sk_c8)=sk_c7|~sQ3_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.10/0.40 fof(f96,plain,(
% 0.10/0.40 sQ0_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f46,f82,f93])).
% 0.10/0.40 fof(f97,definition,(
% 0.10/0.40 sQ4_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f98,plain,(
% 0.10/0.40 inverse(sk_c5)=sk_c8|~sQ4_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.10/0.40 fof(f100,plain,(
% 0.10/0.40 sQ0_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f47,f82,f97])).
% 0.10/0.40 fof(f101,definition,(
% 0.10/0.40 sQ5_spl <=> (inverse(sk_c6)=sk_c9)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f102,plain,(
% 0.10/0.40 inverse(sk_c6)=sk_c9|~sQ5_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f101])).
% 0.10/0.40 fof(f104,plain,(
% 0.10/0.40 sQ0_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f48,f82,f101])).
% 0.10/0.40 fof(f105,definition,(
% 0.10/0.40 sQ6_spl <=> (multiply(sk_c6,sk_c8)=sk_c9)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f106,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c8)=sk_c9|~sQ6_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f105])).
% 0.10/0.40 fof(f108,plain,(
% 0.10/0.40 sQ0_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f49,f82,f105])).
% 0.10/0.40 fof(f109,definition,(
% 0.10/0.40 sQ7_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f110,plain,(
% 0.10/0.40 inverse(sk_c1)=sk_c9|~sQ7_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f109])).
% 0.10/0.40 fof(f112,plain,(
% 0.10/0.40 sQ7_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.10/0.40 fof(f113,plain,(
% 0.10/0.40 sQ7_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.10/0.40 fof(f114,plain,(
% 0.10/0.40 sQ7_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 0.10/0.40 fof(f115,plain,(
% 0.10/0.40 sQ7_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f53,f109,f97])).
% 0.10/0.40 fof(f116,plain,(
% 0.10/0.40 sQ7_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.10/0.40 fof(f117,plain,(
% 0.10/0.40 sQ7_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.10/0.40 fof(f118,definition,(
% 0.10/0.40 sQ8_spl <=> (multiply(sk_c2,sk_c8)=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f119,plain,(
% 0.10/0.40 multiply(sk_c2,sk_c8)=sk_c7|~sQ8_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f118])).
% 0.10/0.40 fof(f123,plain,(
% 0.10/0.40 sQ8_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f58,f118,f93])).
% 0.10/0.40 fof(f124,plain,(
% 0.10/0.40 sQ8_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f59,f118,f97])).
% 0.10/0.40 fof(f125,plain,(
% 0.10/0.40 sQ8_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f60,f118,f101])).
% 0.10/0.40 fof(f126,plain,(
% 0.10/0.40 sQ8_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f61,f118,f105])).
% 0.10/0.40 fof(f127,definition,(
% 0.10/0.40 sQ9_spl <=> (inverse(sk_c2)=sk_c8)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f128,plain,(
% 0.10/0.40 inverse(sk_c2)=sk_c8|~sQ9_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f127])).
% 0.10/0.40 fof(f132,plain,(
% 0.10/0.40 sQ9_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.10/0.40 fof(f133,plain,(
% 0.10/0.40 sQ9_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f65,f127,f97])).
% 0.10/0.40 fof(f134,plain,(
% 0.10/0.40 sQ9_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f66,f127,f101])).
% 0.10/0.40 fof(f135,plain,(
% 0.10/0.40 sQ9_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f67,f127,f105])).
% 0.10/0.40 fof(f136,definition,(
% 0.10/0.40 sQ10_spl <=> (inverse(sk_c3)=sk_c9)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f137,plain,(
% 0.10/0.40 inverse(sk_c3)=sk_c9|~sQ10_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f136])).
% 0.10/0.40 fof(f139,plain,(
% 0.10/0.40 sQ10_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f68,f136,f85])).
% 0.10/0.40 fof(f140,plain,(
% 0.10/0.40 sQ10_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.10/0.40 fof(f141,plain,(
% 0.10/0.40 sQ10_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.10/0.40 fof(f142,plain,(
% 0.10/0.40 sQ10_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f71,f136,f97])).
% 0.10/0.40 fof(f143,plain,(
% 0.10/0.40 sQ10_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f72,f136,f101])).
% 0.10/0.40 fof(f144,plain,(
% 0.10/0.40 sQ10_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f73,f136,f105])).
% 0.10/0.40 fof(f145,definition,(
% 0.10/0.40 sQ11_spl <=> (multiply(sk_c3,sk_c7)=sk_c9)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f146,plain,(
% 0.10/0.40 multiply(sk_c3,sk_c7)=sk_c9|~sQ11_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f145])).
% 0.10/0.40 fof(f148,plain,(
% 0.10/0.40 sQ11_spl|sQ1_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f74,f145,f85])).
% 0.10/0.40 fof(f149,plain,(
% 0.10/0.40 sQ11_spl|sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.10/0.40 fof(f150,plain,(
% 0.10/0.40 sQ11_spl|sQ3_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.10/0.40 fof(f151,plain,(
% 0.10/0.40 sQ11_spl|sQ4_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f77,f145,f97])).
% 0.10/0.40 fof(f152,plain,(
% 0.10/0.40 sQ11_spl|sQ5_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f78,f145,f101])).
% 0.10/0.40 fof(f153,plain,(
% 0.10/0.40 sQ11_spl|sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f79,f145,f105])).
% 0.10/0.40 fof(f154,definition,(
% 0.10/0.40 ![X0]: (sQ12_spl <=> (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f155,plain,(
% 0.10/0.40 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ12_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f154])).
% 0.10/0.40 fof(f157,definition,(
% 0.10/0.40 ![X1]: (sQ13_spl <=> (~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f158,plain,(
% 0.10/0.40 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ13_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f157])).
% 0.10/0.40 fof(f160,definition,(
% 0.10/0.40 ![X2]: (sQ14_spl <=> (~inverse(X2)=sk_c9|~multiply(X2,sk_c7)=sk_c9))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f161,plain,(
% 0.10/0.40 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c7)=sk_c9|~sQ14_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f160])).
% 0.10/0.40 fof(f163,definition,(
% 0.10/0.40 ![X5]: (sQ15_spl <=> (~inverse(X5)=sk_c9|~multiply(X5,sk_c8)=sk_c9))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f164,plain,(
% 0.10/0.40 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~sQ15_spl)),
% 0.10/0.40 inference(component_clause,[status(thm)],[f163])).
% 0.10/0.40 fof(f166,plain,(
% 0.10/0.40 sQ12_spl|sQ13_spl|sQ14_spl|sQ15_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f81,f154,f157,f160,f163])).
% 0.10/0.40 fof(f167,plain,(
% 0.10/0.40 ~inverse(sk_c6)=sk_c9|~sQ15_spl|~sQ6_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f164,f106])).
% 0.10/0.40 fof(f171,plain,(
% 0.10/0.40 ~sk_c9=sk_c9|~sQ5_spl|~sQ15_spl|~sQ6_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f102,f167])).
% 0.10/0.40 fof(f172,plain,(
% 0.10/0.40 $false|~sQ5_spl|~sQ15_spl|~sQ6_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f171])).
% 0.10/0.40 fof(f173,plain,(
% 0.10/0.40 ~sQ5_spl|~sQ15_spl|~sQ6_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f172])).
% 0.10/0.40 fof(f174,plain,(
% 0.10/0.40 ~inverse(sk_c3)=sk_c9|~sQ14_spl|~sQ11_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f161,f146])).
% 0.10/0.40 fof(f176,plain,(
% 0.10/0.40 ~sk_c9=sk_c9|~sQ10_spl|~sQ14_spl|~sQ11_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f137,f174])).
% 0.10/0.40 fof(f177,plain,(
% 0.10/0.40 $false|~sQ10_spl|~sQ14_spl|~sQ11_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f176])).
% 0.10/0.40 fof(f178,plain,(
% 0.10/0.40 ~sQ10_spl|~sQ14_spl|~sQ11_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f177])).
% 0.10/0.40 fof(f183,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c1,multiply(sk_c9,X0))|~sQ0_spl)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f83,f43])).
% 0.10/0.40 fof(f188,plain,(
% 0.10/0.40 ~inverse(sk_c5)=sk_c8|~sQ13_spl|~sQ3_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f158,f94])).
% 0.10/0.40 fof(f193,plain,(
% 0.10/0.40 ~sk_c7=sk_c7|~inverse(sk_c2)=sk_c8|~sQ13_spl|~sQ8_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f119,f158])).
% 0.10/0.40 fof(f194,plain,(
% 0.10/0.40 ~sk_c8=sk_c8|~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f98,f188])).
% 0.10/0.40 fof(f195,plain,(
% 0.10/0.40 $false|~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f194])).
% 0.10/0.40 fof(f196,plain,(
% 0.10/0.40 ~sQ4_spl|~sQ13_spl|~sQ3_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f195])).
% 0.10/0.40 fof(f204,plain,(
% 0.10/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.10/0.40 fof(f205,plain,(
% 0.10/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f41,f204])).
% 0.10/0.40 fof(f234,plain,(
% 0.10/0.40 sk_c9=multiply(inverse(sk_c4),sk_c8)|~sQ1_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f86,f205])).
% 0.10/0.40 fof(f235,plain,(
% 0.10/0.40 sk_c8=multiply(inverse(sk_c5),sk_c7)|~sQ3_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f94,f205])).
% 0.10/0.40 fof(f237,plain,(
% 0.10/0.40 sk_c9=multiply(inverse(sk_c1),sk_c8)|~sQ0_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f83,f205])).
% 0.10/0.40 fof(f238,plain,(
% 0.10/0.40 sk_c8=multiply(inverse(sk_c2),sk_c7)|~sQ8_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f119,f205])).
% 0.10/0.40 fof(f240,plain,(
% 0.10/0.40 sk_c9=multiply(sk_c9,sk_c8)|~sQ2_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f90,f234])).
% 0.10/0.40 fof(f241,plain,(
% 0.10/0.40 sk_c8=multiply(sk_c8,sk_c7)|~sQ4_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f98,f235])).
% 0.10/0.40 fof(f243,plain,(
% 0.10/0.40 sk_c9=multiply(sk_c9,sk_c8)|~sQ7_spl|~sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f110,f237])).
% 0.10/0.40 fof(f244,plain,(
% 0.10/0.40 sk_c8=multiply(sk_c8,sk_c7)|~sQ9_spl|~sQ8_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f128,f238])).
% 0.10/0.40 fof(f252,plain,(
% 0.10/0.40 sk_c8=multiply(inverse(sk_c9),sk_c9)|~sQ2_spl|~sQ1_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f240,f205])).
% 0.10/0.40 fof(f254,plain,(
% 0.10/0.40 sk_c8=identity|~sQ2_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f42,f252])).
% 0.10/0.40 fof(f263,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c8,X0)=X0|~sQ2_spl|~sQ1_spl)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f254,f41])).
% 0.10/0.40 fof(f264,plain,(
% 0.10/0.40 ~inverse(sk_c4)=sk_c9|~sQ12_spl|~sQ1_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f155,f86])).
% 0.10/0.40 fof(f265,plain,(
% 0.10/0.40 ~inverse(sk_c1)=sk_c9|~sQ12_spl|~sQ0_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f155,f83])).
% 0.10/0.40 fof(f269,plain,(
% 0.10/0.40 ~sk_c9=sk_c9|~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f90,f264])).
% 0.10/0.40 fof(f270,plain,(
% 0.10/0.40 $false|~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f269])).
% 0.10/0.40 fof(f271,plain,(
% 0.10/0.40 ~sQ2_spl|~sQ12_spl|~sQ1_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f270])).
% 0.10/0.40 fof(f289,plain,(
% 0.10/0.40 multiply(sk_c6,sk_c7)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f294,f106])).
% 0.10/0.40 fof(f294,plain,(
% 0.10/0.40 sk_c8=sk_c7|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f263,f241])).
% 0.10/0.40 fof(f335,definition,(
% 0.10/0.40 sQ20_spl <=> (inverse(sk_c9)=sk_c9)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f338,definition,(
% 0.10/0.40 sQ21_spl <=> (sk_c9=sk_c9)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f340,plain,(
% 0.10/0.40 ~sk_c9=sk_c9|sQ21_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f338])).
% 0.10/0.40 fof(f354,plain,(
% 0.10/0.40 $false|sQ21_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f340])).
% 0.10/0.40 fof(f355,plain,(
% 0.10/0.40 sQ21_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f354])).
% 0.10/0.40 fof(f356,plain,(
% 0.10/0.40 ~sk_c9=sk_c9|~sQ7_spl|~sQ12_spl|~sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f110,f265])).
% 0.10/0.40 fof(f357,plain,(
% 0.10/0.40 $false|~sQ7_spl|~sQ12_spl|~sQ0_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f356])).
% 0.10/0.40 fof(f358,plain,(
% 0.10/0.40 ~sQ7_spl|~sQ12_spl|~sQ0_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f357])).
% 0.10/0.40 fof(f415,plain,(
% 0.10/0.40 ~inverse(sk_c6)=sk_c9|~sQ14_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl),
% 0.10/0.40 inference(resolution,[status(thm)],[f161,f289])).
% 0.10/0.40 fof(f420,plain,(
% 0.10/0.40 ~sQ5_spl|~sQ14_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|~sQ6_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f415,f101,f160,f89,f85,f97,f93,f105])).
% 0.10/0.40 fof(f424,definition,(
% 0.10/0.40 sQ23_spl <=> (sk_c7=sk_c7)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f426,plain,(
% 0.10/0.40 ~sk_c7=sk_c7|sQ23_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f424])).
% 0.10/0.40 fof(f427,plain,(
% 0.10/0.40 ~sQ23_spl|~sQ9_spl|~sQ13_spl|~sQ8_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f193,f424,f127,f157,f118])).
% 0.10/0.40 fof(f428,plain,(
% 0.10/0.40 $false|sQ23_spl),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f426])).
% 0.10/0.40 fof(f429,plain,(
% 0.10/0.40 sQ23_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f428])).
% 0.10/0.40 fof(f463,plain,(
% 0.10/0.40 ~inverse(sk_c9)=sk_c9|~sk_c9=sk_c9|~sQ15_spl|~sQ7_spl|~sQ0_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f243,f164])).
% 0.10/0.40 fof(f466,plain,(
% 0.10/0.40 ~sQ20_spl|~sQ21_spl|~sQ15_spl|~sQ7_spl|~sQ0_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f463,f335,f338,f163,f109,f82])).
% 0.10/0.40 fof(f518,plain,(
% 0.10/0.40 multiply(sk_c8,sk_c8)=multiply(sk_c1,sk_c9)|~sQ7_spl|~sQ0_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f243,f183])).
% 0.10/0.40 fof(f522,plain,(
% 0.10/0.40 multiply(sk_c8,sk_c8)=sk_c8|~sQ7_spl|~sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f83,f518])).
% 0.10/0.40 fof(f541,plain,(
% 0.10/0.40 sk_c8=multiply(inverse(sk_c8),sk_c8)|~sQ7_spl|~sQ0_spl),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f522,f205])).
% 0.10/0.40 fof(f548,plain,(
% 0.10/0.40 sk_c8=identity|~sQ7_spl|~sQ0_spl),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f42,f541])).
% 0.10/0.40 fof(f554,plain,(
% 0.10/0.40 ![X0]: (multiply(sk_c8,X0)=X0|~sQ7_spl|~sQ0_spl)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f548,f41])).
% 0.10/0.40 fof(f558,plain,(
% 0.10/0.40 sk_c8=sk_c7|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f554,f244])).
% 0.10/0.40 fof(f570,plain,(
% 0.10/0.40 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c7)=sk_c9|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ15_spl)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f558,f164])).
% 0.10/0.40 fof(f574,plain,(
% 0.10/0.40 sQ14_spl|~sQ7_spl|~sQ0_spl|~sQ9_spl|~sQ8_spl|~sQ15_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f570,f160,f109,f82,f127,f118,f163])).
% 0.10/0.40 fof(f575,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(sat_refutation,[status(thm)],[f88,f92,f96,f100,f104,f108,f112,f113,f114,f115,f116,f117,f123,f124,f125,f126,f132,f133,f134,f135,f139,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f153,f166,f173,f178,f196,f271,f355,f358,f420,f427,f429,f466,f574])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.056368 seconds
% 0.13/0.43 % CPU time: 0.163720 seconds
% 0.13/0.43 % Total memory used: 103.116 MB
% 0.13/0.43 % Net memory used: 102.960 MB
%------------------------------------------------------------------------------