%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP390-1 : 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 : n009.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 12:36:33 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP390-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:10:59 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,axiom,(
% 0.13/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c8) = sk_c7| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c8) = sk_c7| inverse(sk_c4) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c8) = sk_c7| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c8) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c8) = sk_c7| inverse(sk_c6) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c8) = sk_c7| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f14,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f15,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c1) = sk_c9| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f16,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f17,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c4) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f20,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c8) = sk_c9| inverse(sk_c6) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f21,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c1,sk_c8) = sk_c9| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f22,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c3) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f23,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c3) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f24,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c3) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f25,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c3) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f26,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c3) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f27,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c2,sk_c3) = sk_c8| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f28,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f29,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c3| inverse(sk_c4) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f30,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f31,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c3| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f32,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c3| inverse(sk_c6) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f33,negated_conjecture,(
% 0.13/0.39 ( inverse(sk_c2) = sk_c3| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f34,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c4,sk_c9) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f35,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c4) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f36,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c7 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f37,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f38,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| inverse(sk_c6) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f39,negated_conjecture,(
% 0.13/0.39 ( multiply(sk_c3,sk_c7) = sk_c8| multiply(sk_c6,sk_c8) = sk_c9 ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f40,negated_conjecture,(
% 0.13/0.39 (![X4,X5,X6,X1,X2,X3]: (( inverse(sk_c8) != sk_c7| inverse(X4) != sk_c9| multiply(X4,sk_c8) != sk_c9| multiply(X5,X6) != sk_c8| inverse(X5) != X6| multiply(X6,sk_c7) != sk_c8| 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 ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f44,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|multiply(sk_c4,sk_c9)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f45,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|inverse(sk_c4)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f46,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|multiply(sk_c5,sk_c8)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|inverse(sk_c6)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|multiply(sk_c6,sk_c8)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f50,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.39 fof(f51,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.39 fof(f54,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.39 fof(f55,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c9|multiply(sk_c6,sk_c8)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.39 fof(f56,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c4,sk_c9)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.39 fof(f57,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c4)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.39 fof(f60,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c8)=sk_c9|inverse(sk_c6)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.39 fof(f61,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c8)=sk_c9|multiply(sk_c6,sk_c8)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c3)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.39 fof(f63,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c3)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.39 fof(f64,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c3)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.39 fof(f65,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c3)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.13/0.39 fof(f66,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c3)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.39 fof(f67,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c3)=sk_c8|multiply(sk_c6,sk_c8)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.39 fof(f68,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c4,sk_c9)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.39 fof(f69,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c3|inverse(sk_c4)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.39 fof(f70,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c5,sk_c8)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c3|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c3|inverse(sk_c6)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.39 fof(f73,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c3|multiply(sk_c6,sk_c8)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.39 fof(f74,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c4,sk_c9)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.39 fof(f75,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c4)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f35])).
% 0.13/0.39 fof(f76,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c7),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/0.39 fof(f77,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.13/0.39 fof(f78,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|inverse(sk_c6)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f38])).
% 0.13/0.39 fof(f79,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|multiply(sk_c6,sk_c8)=sk_c9),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f39])).
% 0.13/0.39 fof(f80,plain,(
% 0.13/0.39 ![X3]: (((![X2]: (((![X1]: (((![X6]: ((![X5]: (((![X4]: ((~inverse(sk_c8)=sk_c7|~inverse(X4)=sk_c9)|~multiply(X4,sk_c8)=sk_c9))|~multiply(X5,X6)=sk_c8)|~inverse(X5)=X6))|~multiply(X6,sk_c7)=sk_c8))|~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)),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f40])).
% 0.13/0.39 fof(f81,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5]: (~inverse(sk_c8)=sk_c7|~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~multiply(X1,X2)=sk_c8|~inverse(X1)=X2|~multiply(X2,sk_c7)=sk_c8|~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)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f80])).
% 0.13/0.39 fof(f82,definition,(
% 0.13/0.39 sQ0_spl <=> (inverse(sk_c8)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f83,plain,(
% 0.13/0.39 inverse(sk_c8)=sk_c7|~sQ0_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f82])).
% 0.13/0.39 fof(f84,plain,(
% 0.13/0.39 ~inverse(sk_c8)=sk_c7|sQ0_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f82])).
% 0.13/0.39 fof(f85,definition,(
% 0.13/0.39 sQ1_spl <=> (multiply(sk_c4,sk_c9)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f86,plain,(
% 0.13/0.39 multiply(sk_c4,sk_c9)=sk_c8|~sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f85])).
% 0.13/0.39 fof(f88,plain,(
% 0.13/0.39 sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f44,f82,f85])).
% 0.13/0.39 fof(f89,definition,(
% 0.13/0.39 sQ2_spl <=> (inverse(sk_c4)=sk_c9)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f90,plain,(
% 0.13/0.39 inverse(sk_c4)=sk_c9|~sQ2_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f89])).
% 0.13/0.39 fof(f92,plain,(
% 0.13/0.39 sQ0_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f45,f82,f89])).
% 0.13/0.39 fof(f93,definition,(
% 0.13/0.39 sQ3_spl <=> (multiply(sk_c5,sk_c8)=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f94,plain,(
% 0.13/0.39 multiply(sk_c5,sk_c8)=sk_c7|~sQ3_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.13/0.39 fof(f96,plain,(
% 0.13/0.39 sQ0_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f46,f82,f93])).
% 0.13/0.39 fof(f97,definition,(
% 0.13/0.39 sQ4_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f98,plain,(
% 0.13/0.39 inverse(sk_c5)=sk_c8|~sQ4_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f97])).
% 0.13/0.39 fof(f100,plain,(
% 0.13/0.39 sQ0_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f47,f82,f97])).
% 0.13/0.39 fof(f101,definition,(
% 0.13/0.39 sQ5_spl <=> (inverse(sk_c6)=sk_c9)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f102,plain,(
% 0.13/0.39 inverse(sk_c6)=sk_c9|~sQ5_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f101])).
% 0.13/0.39 fof(f104,plain,(
% 0.13/0.39 sQ0_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f48,f82,f101])).
% 0.13/0.39 fof(f105,definition,(
% 0.13/0.39 sQ6_spl <=> (multiply(sk_c6,sk_c8)=sk_c9)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f106,plain,(
% 0.13/0.39 multiply(sk_c6,sk_c8)=sk_c9|~sQ6_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f105])).
% 0.13/0.39 fof(f108,plain,(
% 0.13/0.39 sQ0_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f49,f82,f105])).
% 0.13/0.39 fof(f109,definition,(
% 0.13/0.39 sQ7_spl <=> (inverse(sk_c1)=sk_c9)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f110,plain,(
% 0.13/0.39 inverse(sk_c1)=sk_c9|~sQ7_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f109])).
% 0.13/0.39 fof(f112,plain,(
% 0.13/0.39 sQ7_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 0.13/0.39 fof(f113,plain,(
% 0.13/0.39 sQ7_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 0.13/0.39 fof(f116,plain,(
% 0.13/0.39 sQ7_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f54,f109,f101])).
% 0.13/0.39 fof(f117,plain,(
% 0.13/0.39 sQ7_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f55,f109,f105])).
% 0.13/0.39 fof(f118,definition,(
% 0.13/0.39 sQ8_spl <=> (multiply(sk_c1,sk_c8)=sk_c9)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f119,plain,(
% 0.13/0.39 multiply(sk_c1,sk_c8)=sk_c9|~sQ8_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f118])).
% 0.13/0.39 fof(f121,plain,(
% 0.13/0.39 sQ8_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f56,f118,f85])).
% 0.13/0.39 fof(f122,plain,(
% 0.13/0.39 sQ8_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f57,f118,f89])).
% 0.13/0.39 fof(f125,plain,(
% 0.13/0.39 sQ8_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f60,f118,f101])).
% 0.13/0.39 fof(f126,plain,(
% 0.13/0.39 sQ8_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f61,f118,f105])).
% 0.13/0.39 fof(f127,definition,(
% 0.13/0.39 sQ9_spl <=> (multiply(sk_c2,sk_c3)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f128,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c3)=sk_c8|~sQ9_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f127])).
% 0.13/0.39 fof(f130,plain,(
% 0.13/0.39 sQ9_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f62,f127,f85])).
% 0.13/0.39 fof(f131,plain,(
% 0.13/0.39 sQ9_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f63,f127,f89])).
% 0.13/0.39 fof(f132,plain,(
% 0.13/0.39 sQ9_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f64,f127,f93])).
% 0.13/0.39 fof(f133,plain,(
% 0.13/0.39 sQ9_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f65,f127,f97])).
% 0.13/0.39 fof(f134,plain,(
% 0.13/0.39 sQ9_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f66,f127,f101])).
% 0.13/0.39 fof(f135,plain,(
% 0.13/0.39 sQ9_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f67,f127,f105])).
% 0.13/0.39 fof(f136,definition,(
% 0.13/0.39 sQ10_spl <=> (inverse(sk_c2)=sk_c3)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f137,plain,(
% 0.13/0.39 inverse(sk_c2)=sk_c3|~sQ10_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f136])).
% 0.13/0.39 fof(f139,plain,(
% 0.13/0.39 sQ10_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f68,f136,f85])).
% 0.13/0.39 fof(f140,plain,(
% 0.13/0.39 sQ10_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f69,f136,f89])).
% 0.13/0.39 fof(f141,plain,(
% 0.13/0.39 sQ10_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f70,f136,f93])).
% 0.13/0.39 fof(f142,plain,(
% 0.13/0.39 sQ10_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f71,f136,f97])).
% 0.13/0.39 fof(f143,plain,(
% 0.13/0.39 sQ10_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f72,f136,f101])).
% 0.13/0.39 fof(f144,plain,(
% 0.13/0.39 sQ10_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f73,f136,f105])).
% 0.13/0.39 fof(f145,definition,(
% 0.13/0.39 sQ11_spl <=> (multiply(sk_c3,sk_c7)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f146,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=sk_c8|~sQ11_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f145])).
% 0.13/0.39 fof(f148,plain,(
% 0.13/0.39 sQ11_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f74,f145,f85])).
% 0.13/0.39 fof(f149,plain,(
% 0.13/0.39 sQ11_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f75,f145,f89])).
% 0.13/0.39 fof(f150,plain,(
% 0.13/0.39 sQ11_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f76,f145,f93])).
% 0.13/0.39 fof(f151,plain,(
% 0.13/0.39 sQ11_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f77,f145,f97])).
% 0.13/0.39 fof(f152,plain,(
% 0.13/0.39 sQ11_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f78,f145,f101])).
% 0.13/0.39 fof(f153,plain,(
% 0.13/0.39 sQ11_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f79,f145,f105])).
% 0.13/0.39 fof(f154,definition,(
% 0.13/0.39 ![X0]: (sQ12_spl <=> (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f155,plain,(
% 0.13/0.39 ![X0]: (~inverse(X0)=sk_c9|~multiply(X0,sk_c8)=sk_c9|~sQ12_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f154])).
% 0.13/0.39 fof(f157,definition,(
% 0.13/0.39 ![X1,X2]: (sQ13_spl <=> (~multiply(X1,X2)=sk_c8|~inverse(X1)=X2|~multiply(X2,sk_c7)=sk_c8))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f158,plain,(
% 0.13/0.39 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~sQ13_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f157])).
% 0.13/0.39 fof(f160,definition,(
% 0.13/0.39 ![X3]: (sQ14_spl <=> (~multiply(X3,sk_c9)=sk_c8|~inverse(X3)=sk_c9))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f161,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,sk_c9)=sk_c8|~inverse(X0)=sk_c9|~sQ14_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f160])).
% 0.13/0.39 fof(f163,definition,(
% 0.13/0.39 ![X4]: (sQ15_spl <=> (~multiply(X4,sk_c8)=sk_c7|~inverse(X4)=sk_c8))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f164,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~sQ15_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f163])).
% 0.13/0.39 fof(f166,plain,(
% 0.13/0.39 ~sQ0_spl|sQ12_spl|sQ13_spl|sQ14_spl|sQ15_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f81,f82,f154,f157,f160,f163])).
% 0.13/0.39 fof(f169,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c3,multiply(sk_c7,X0))|~sQ11_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f146,f43])).
% 0.13/0.39 fof(f172,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c1,multiply(sk_c8,X0))|~sQ8_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f119,f43])).
% 0.13/0.39 fof(f173,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c6,multiply(sk_c8,X0))|~sQ6_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f106,f43])).
% 0.13/0.39 fof(f175,plain,(
% 0.13/0.39 multiply(sk_c9,sk_c4)=identity|~sQ2_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f90,f42])).
% 0.13/0.39 fof(f176,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c5)=identity|~sQ4_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f98,f42])).
% 0.13/0.39 fof(f177,plain,(
% 0.13/0.39 multiply(sk_c9,sk_c6)=identity|~sQ5_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f102,f42])).
% 0.13/0.39 fof(f179,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c2)=identity|~sQ10_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f137,f42])).
% 0.13/0.39 fof(f180,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.13/0.39 fof(f181,plain,(
% 0.13/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f41,f180])).
% 0.13/0.39 fof(f183,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c4,multiply(sk_c9,X0))|~sQ1_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f86,f43])).
% 0.13/0.39 fof(f184,plain,(
% 0.13/0.39 ~inverse(sk_c5)=sk_c8|~sQ15_spl|~sQ3_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f164,f94])).
% 0.13/0.39 fof(f187,plain,(
% 0.13/0.39 ~sk_c8=sk_c7|~inverse(identity)=sk_c8|~sQ15_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f41,f164])).
% 0.13/0.39 fof(f191,plain,(
% 0.13/0.39 ~sk_c8=sk_c8|~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f98,f184])).
% 0.13/0.39 fof(f192,plain,(
% 0.13/0.39 $false|~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f191])).
% 0.13/0.39 fof(f193,plain,(
% 0.13/0.39 ~sQ4_spl|~sQ15_spl|~sQ3_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f192])).
% 0.13/0.39 fof(f194,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~sQ13_spl)),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f158])).
% 0.13/0.39 fof(f195,plain,(
% 0.13/0.39 ~inverse(sk_c4)=sk_c9|~sQ14_spl|~sQ1_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f161,f86])).
% 0.13/0.39 fof(f197,plain,(
% 0.13/0.39 ~identity=sk_c8|~inverse(inverse(sk_c9))=sk_c9|~sQ14_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f42,f161])).
% 0.13/0.39 fof(f199,plain,(
% 0.13/0.39 ![X0,X1]: (~multiply(X0,multiply(X1,sk_c9))=sk_c8|~inverse(multiply(X0,X1))=sk_c9|~sQ14_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f43,f161])).
% 0.13/0.39 fof(f200,plain,(
% 0.13/0.39 ~sk_c9=sk_c9|~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f90,f195])).
% 0.13/0.39 fof(f201,plain,(
% 0.13/0.39 $false|~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f200])).
% 0.13/0.39 fof(f202,plain,(
% 0.13/0.39 ~sQ2_spl|~sQ14_spl|~sQ1_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f201])).
% 0.13/0.39 fof(f207,plain,(
% 0.13/0.39 ~multiply(sk_c2,sk_c3)=sk_c8|~multiply(inverse(sk_c2),sk_c7)=sk_c8|~sQ13_spl|~sQ10_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f137,f194])).
% 0.13/0.39 fof(f208,definition,(
% 0.13/0.39 sQ16_spl <=> (inverse(identity)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f210,plain,(
% 0.13/0.39 ~inverse(identity)=sk_c8|sQ16_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f208])).
% 0.13/0.39 fof(f229,definition,(
% 0.13/0.39 sQ22_spl <=> (multiply(inverse(sk_c2),sk_c7)=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f231,plain,(
% 0.13/0.39 ~multiply(inverse(sk_c2),sk_c7)=sk_c8|sQ22_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f229])).
% 0.13/0.39 fof(f232,plain,(
% 0.13/0.39 ~sQ9_spl|~sQ22_spl|~sQ13_spl|~sQ10_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f207,f127,f229,f157,f136])).
% 0.13/0.39 fof(f233,plain,(
% 0.13/0.39 ~multiply(sk_c3,sk_c7)=sk_c8|~sQ10_spl|sQ22_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f137,f231])).
% 0.13/0.39 fof(f234,plain,(
% 0.13/0.39 ~sk_c8=sk_c8|~sQ11_spl|~sQ10_spl|sQ22_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f146,f233])).
% 0.13/0.39 fof(f235,plain,(
% 0.13/0.39 $false|~sQ11_spl|~sQ10_spl|sQ22_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f234])).
% 0.13/0.39 fof(f236,plain,(
% 0.13/0.39 ~sQ11_spl|~sQ10_spl|sQ22_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f235])).
% 0.13/0.39 fof(f238,plain,(
% 0.13/0.39 ~inverse(sk_c6)=sk_c9|~sQ12_spl|~sQ6_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f155,f106])).
% 0.13/0.39 fof(f244,plain,(
% 0.13/0.39 ~inverse(sk_c1)=sk_c9|~sk_c9=sk_c9|~sQ12_spl|~sQ8_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f119,f155])).
% 0.13/0.39 fof(f246,plain,(
% 0.13/0.39 ~sk_c9=sk_c9|~sQ5_spl|~sQ12_spl|~sQ6_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f102,f238])).
% 0.13/0.39 fof(f247,plain,(
% 0.13/0.39 $false|~sQ5_spl|~sQ12_spl|~sQ6_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f246])).
% 0.13/0.39 fof(f248,plain,(
% 0.13/0.39 ~sQ5_spl|~sQ12_spl|~sQ6_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f247])).
% 0.13/0.39 fof(f260,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,X0)=multiply(sk_c9,multiply(sk_c6,X0))|~sQ5_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f177,f43])).
% 0.13/0.39 fof(f261,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(sk_c9,multiply(sk_c6,X0))|~sQ5_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f41,f260])).
% 0.13/0.39 fof(f269,plain,(
% 0.13/0.39 multiply(sk_c8,sk_c4)=multiply(sk_c4,identity)|~sQ1_spl|~sQ2_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f175,f183])).
% 0.13/0.39 fof(f270,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,X0)=multiply(sk_c9,multiply(sk_c4,X0))|~sQ2_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f175,f43])).
% 0.13/0.39 fof(f271,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(sk_c9,multiply(sk_c4,X0))|~sQ2_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f41,f270])).
% 0.13/0.39 fof(f277,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c9,multiply(sk_c9,X0))|~sQ5_spl|~sQ6_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f173,f261])).
% 0.13/0.39 fof(f286,plain,(
% 0.13/0.39 ![X0]: (multiply(multiply(sk_c8,sk_c4),X0)=multiply(sk_c4,multiply(identity,X0))|~sQ1_spl|~sQ2_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f269,f43])).
% 0.13/0.39 fof(f287,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c8,multiply(sk_c4,X0))=multiply(sk_c4,multiply(identity,X0))|~sQ1_spl|~sQ2_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f43,f286])).
% 0.13/0.39 fof(f288,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c8,multiply(sk_c4,X0))=multiply(sk_c4,X0)|~sQ1_spl|~sQ2_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f41,f287])).
% 0.13/0.39 fof(f324,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c8,multiply(sk_c4,X0))=multiply(sk_c9,X0)|~sQ5_spl|~sQ6_spl|~sQ2_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f271,f277])).
% 0.13/0.39 fof(f531,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(sk_c4,multiply(sk_c4,X0))|~sQ1_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f539,f271])).
% 0.13/0.39 fof(f537,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c4,multiply(sk_c4,X0))|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f539,f183])).
% 0.13/0.39 fof(f539,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c4,X0)=multiply(sk_c9,X0)|~sQ1_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f288,f324])).
% 0.13/0.39 fof(f595,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c8,X0)=X0|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f531,f537])).
% 0.13/0.39 fof(f614,plain,(
% 0.13/0.39 sk_c5=identity|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f595,f176])).
% 0.13/0.39 fof(f624,plain,(
% 0.13/0.39 inverse(identity)=sk_c8|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f614,f98])).
% 0.13/0.39 fof(f625,plain,(
% 0.13/0.39 multiply(identity,sk_c8)=sk_c7|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f614,f94])).
% 0.13/0.39 fof(f631,plain,(
% 0.13/0.39 sk_c8=sk_c7|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f41,f625])).
% 0.13/0.39 fof(f639,plain,(
% 0.13/0.39 ~inverse(sk_c8)=sk_c8|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f631,f84])).
% 0.13/0.39 fof(f666,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(inverse(sk_c8),X0)|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f595,f181])).
% 0.13/0.39 fof(f714,plain,(
% 0.13/0.39 sk_c8=identity|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f42,f666])).
% 0.13/0.39 fof(f722,plain,(
% 0.13/0.39 ~inverse(sk_c8)=identity|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f714,f639])).
% 0.13/0.39 fof(f723,plain,(
% 0.13/0.39 identity=sk_c7|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f714,f631])).
% 0.13/0.39 fof(f724,plain,(
% 0.13/0.39 inverse(identity)=identity|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f714,f624])).
% 0.13/0.39 fof(f729,plain,(
% 0.13/0.39 ~inverse(identity)=identity|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ3_spl|sQ0_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f714,f722])).
% 0.13/0.39 fof(f732,plain,(
% 0.13/0.39 $false|~sQ3_spl|sQ0_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f724,f729])).
% 0.13/0.39 fof(f733,plain,(
% 0.13/0.39 ~sQ3_spl|sQ0_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f732])).
% 0.13/0.39 fof(f741,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),sk_c7)=sk_c8|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ13_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f714,f194])).
% 0.13/0.39 fof(f742,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),identity)=sk_c8|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ13_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f723,f741])).
% 0.13/0.39 fof(f743,plain,(
% 0.13/0.39 ![X0]: (~multiply(X0,inverse(X0))=identity|~multiply(inverse(X0),identity)=identity|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ13_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f714,f742])).
% 0.13/0.39 fof(f753,plain,(
% 0.13/0.39 ~multiply(identity,inverse(identity))=identity|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ13_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f743,f42])).
% 0.13/0.39 fof(f759,plain,(
% 0.13/0.39 ~inverse(identity)=identity|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ13_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f41,f753])).
% 0.13/0.39 fof(f760,plain,(
% 0.13/0.39 ~identity=identity|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ13_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f724,f759])).
% 0.13/0.39 fof(f761,plain,(
% 0.13/0.39 $false|~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ13_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f760])).
% 0.13/0.39 fof(f762,plain,(
% 0.13/0.39 ~sQ4_spl|~sQ3_spl|~sQ5_spl|~sQ6_spl|~sQ2_spl|~sQ1_spl|~sQ13_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f761])).
% 0.13/0.39 fof(f763,definition,(
% 0.13/0.39 sQ23_spl <=> (sk_c8=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f765,plain,(
% 0.13/0.39 ~sk_c8=sk_c8|sQ23_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f763])).
% 0.13/0.39 fof(f767,definition,(
% 0.13/0.39 sQ24_spl <=> (identity=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f769,plain,(
% 0.13/0.39 ~identity=sk_c8|sQ24_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f767])).
% 0.13/0.39 fof(f770,definition,(
% 0.13/0.39 sQ25_spl <=> (inverse(inverse(sk_c9))=sk_c9)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f773,plain,(
% 0.13/0.39 ~sQ24_spl|~sQ25_spl|~sQ14_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f197,f767,f770,f160])).
% 0.13/0.39 fof(f781,plain,(
% 0.13/0.39 $false|sQ23_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f765])).
% 0.13/0.39 fof(f782,plain,(
% 0.13/0.39 sQ23_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f781])).
% 0.13/0.39 fof(f798,definition,(
% 0.13/0.39 sQ32_spl <=> (sk_c9=sk_c9)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f800,plain,(
% 0.13/0.39 ~sk_c9=sk_c9|sQ32_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f798])).
% 0.13/0.39 fof(f801,plain,(
% 0.13/0.39 ~sQ7_spl|~sQ32_spl|~sQ12_spl|~sQ8_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f244,f109,f798,f154,f118])).
% 0.13/0.39 fof(f802,plain,(
% 0.13/0.39 $false|sQ32_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f800])).
% 0.13/0.39 fof(f803,plain,(
% 0.13/0.39 sQ32_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f802])).
% 0.13/0.39 fof(f804,plain,(
% 0.13/0.39 sk_c3=multiply(inverse(sk_c2),sk_c8)|~sQ9_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f128,f181])).
% 0.13/0.39 fof(f812,plain,(
% 0.13/0.39 sk_c8=multiply(inverse(sk_c1),sk_c9)|~sQ8_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f119,f181])).
% 0.13/0.39 fof(f814,plain,(
% 0.13/0.39 sk_c8=multiply(sk_c9,sk_c9)|~sQ7_spl|~sQ8_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f110,f812])).
% 0.13/0.39 fof(f860,plain,(
% 0.13/0.39 ![X0]: (~identity=sk_c8|~inverse(multiply(inverse(multiply(X0,sk_c9)),X0))=sk_c9|~sQ14_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f42,f199])).
% 0.13/0.39 fof(f888,definition,(
% 0.13/0.39 ![X0]: (sQ39_spl <=> (~inverse(multiply(inverse(multiply(X0,sk_c9)),X0))=sk_c9))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f889,plain,(
% 0.13/0.39 ![X0]: (~inverse(multiply(inverse(multiply(X0,sk_c9)),X0))=sk_c9|~sQ39_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f888])).
% 0.13/0.39 fof(f891,plain,(
% 0.13/0.39 ~sQ24_spl|sQ39_spl|~sQ14_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f860,f767,f888,f160])).
% 0.13/0.39 fof(f936,plain,(
% 0.13/0.39 sk_c3=multiply(sk_c3,sk_c8)|~sQ10_spl|~sQ9_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f137,f804])).
% 0.13/0.39 fof(f938,plain,(
% 0.13/0.39 sk_c8=multiply(inverse(sk_c3),sk_c3)|~sQ10_spl|~sQ9_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f936,f181])).
% 0.13/0.39 fof(f941,plain,(
% 0.13/0.39 sk_c8=identity|~sQ10_spl|~sQ9_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f42,f938])).
% 0.13/0.39 fof(f942,plain,(
% 0.13/0.39 $false|sQ24_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f941,f769])).
% 0.13/0.39 fof(f943,plain,(
% 0.13/0.39 sQ24_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f942])).
% 0.13/0.39 fof(f948,definition,(
% 0.13/0.39 sQ44_spl <=> (identity=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f950,plain,(
% 0.13/0.39 ~identity=sk_c7|sQ44_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f948])).
% 0.13/0.39 fof(f951,definition,(
% 0.13/0.39 sQ45_spl <=> (inverse(inverse(sk_c8))=sk_c8)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f953,plain,(
% 0.13/0.39 ~inverse(inverse(sk_c8))=sk_c8|sQ45_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f951])).
% 0.13/0.39 fof(f955,definition,(
% 0.13/0.39 sQ46_spl <=> (sk_c8=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f957,plain,(
% 0.13/0.39 ~sk_c8=sk_c7|sQ46_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f955])).
% 0.13/0.39 fof(f958,plain,(
% 0.13/0.39 ~sQ46_spl|~sQ16_spl|~sQ15_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f187,f955,f208,f163])).
% 0.13/0.39 fof(f964,plain,(
% 0.13/0.39 ~inverse(sk_c7)=sk_c8|~sQ0_spl|sQ45_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f83,f953])).
% 0.13/0.39 fof(f969,plain,(
% 0.13/0.39 ![X0]: (multiply(identity,X0)=multiply(sk_c3,multiply(sk_c7,X0))|~sQ10_spl|~sQ9_spl|~sQ11_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f941,f169])).
% 0.13/0.39 fof(f970,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c1,multiply(identity,X0))|~sQ10_spl|~sQ9_spl|~sQ8_spl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f941,f172])).
% 0.13/0.39 fof(f973,plain,(
% 0.13/0.39 ~inverse(identity)=identity|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f941,f210])).
% 0.13/0.39 fof(f977,plain,(
% 0.13/0.39 inverse(identity)=sk_c7|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f941,f83])).
% 0.13/0.39 fof(f979,plain,(
% 0.13/0.39 multiply(sk_c3,sk_c7)=identity|~sQ10_spl|~sQ9_spl|~sQ11_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f941,f146])).
% 0.13/0.39 fof(f980,plain,(
% 0.13/0.39 multiply(sk_c2,sk_c3)=identity|~sQ10_spl|~sQ9_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f941,f128])).
% 0.13/0.39 fof(f981,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(sk_c3,multiply(sk_c7,X0))|~sQ10_spl|~sQ9_spl|~sQ11_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f41,f969])).
% 0.13/0.39 fof(f982,plain,(
% 0.13/0.39 ![X0]: (multiply(sk_c9,X0)=multiply(sk_c1,X0)|~sQ10_spl|~sQ9_spl|~sQ8_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f41,f970])).
% 0.13/0.39 fof(f1004,definition,(
% 0.13/0.39 sQ49_spl <=> (inverse(inverse(identity))=identity)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f1006,plain,(
% 0.13/0.39 ~inverse(inverse(identity))=identity|sQ49_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f1004])).
% 0.13/0.39 fof(f1008,definition,(
% 0.13/0.39 sQ50_spl <=> (inverse(identity)=identity)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f1010,plain,(
% 0.13/0.39 ~inverse(identity)=identity|sQ50_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f1008])).
% 0.13/0.39 fof(f1043,definition,(
% 0.13/0.39 sQ51_spl <=> (sk_c7=sk_c7)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f1045,plain,(
% 0.13/0.39 ~sk_c7=sk_c7|sQ51_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f1043])).
% 0.13/0.39 fof(f1049,plain,(
% 0.13/0.39 $false|sQ51_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f1045])).
% 0.13/0.39 fof(f1050,plain,(
% 0.13/0.39 sQ51_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f1049])).
% 0.13/0.39 fof(f1051,plain,(
% 0.13/0.39 ~identity=sk_c7|~sQ10_spl|~sQ9_spl|sQ46_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f941,f957])).
% 0.13/0.39 fof(f1054,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(sk_c7,multiply(identity,X0))|~sQ10_spl|~sQ9_spl|~sQ0_spl)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f977,f181])).
% 0.13/0.39 fof(f1056,plain,(
% 0.13/0.39 ![X0]: (X0=multiply(sk_c7,X0)|~sQ10_spl|~sQ9_spl|~sQ0_spl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f41,f1054])).
% 0.13/0.39 fof(f1076,plain,(
% 0.13/0.39 ~inverse(sk_c7)=identity|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ45_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f941,f964])).
% 0.13/0.39 fof(f1080,plain,(
% 0.13/0.39 ~sk_c7=identity|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f977,f973])).
% 0.13/0.39 fof(f1108,definition,(
% 0.13/0.39 ![X0]: (sQ54_spl <=> (~inverse(multiply(inverse(X0),X0))=identity))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f1109,plain,(
% 0.13/0.39 ![X0]: (~inverse(multiply(inverse(X0),X0))=identity|~sQ54_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f1108])).
% 0.13/0.39 fof(f1119,plain,(
% 0.13/0.39 ~inverse(identity)=identity|~sQ54_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f42,f1109])).
% 0.13/0.39 fof(f1120,plain,(
% 0.13/0.39 ~sk_c7=identity|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ54_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f977,f1119])).
% 0.13/0.39 fof(f1127,definition,(
% 0.13/0.39 sQ56_spl <=> (inverse(sk_c7)=identity)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f1129,plain,(
% 0.13/0.39 ~inverse(sk_c7)=identity|sQ56_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f1127])).
% 0.13/0.39 fof(f1139,definition,(
% 0.13/0.39 sQ57_spl <=> (inverse(multiply(sk_c3,sk_c7))=identity)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f1140,plain,(
% 0.13/0.39 inverse(multiply(sk_c3,sk_c7))=identity|~sQ57_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f1139])).
% 0.13/0.39 fof(f1141,plain,(
% 0.13/0.39 ~inverse(multiply(sk_c3,sk_c7))=identity|sQ57_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f1139])).
% 0.13/0.39 fof(f1144,plain,(
% 0.13/0.39 ~inverse(identity)=identity|~sQ10_spl|~sQ9_spl|~sQ11_spl|sQ57_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f979,f1141])).
% 0.13/0.39 fof(f1145,plain,(
% 0.13/0.39 ~sk_c7=identity|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ11_spl|sQ57_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f977,f1144])).
% 0.13/0.39 fof(f1146,plain,(
% 0.13/0.39 ~sk_c7=identity|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ50_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f977,f1010])).
% 0.13/0.40 fof(f1148,plain,(
% 0.13/0.40 ![X0]: (X0=multiply(sk_c3,X0)|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ11_spl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f1056,f981])).
% 0.13/0.40 fof(f1156,plain,(
% 0.13/0.40 sk_c7=identity|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ11_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f1148,f979])).
% 0.13/0.40 fof(f1157,plain,(
% 0.13/0.40 sk_c2=identity|~sQ0_spl|~sQ9_spl|~sQ11_spl|~sQ10_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f1148,f179])).
% 0.13/0.40 fof(f1163,plain,(
% 0.13/0.40 $false|sQ44_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ11_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1156,f950])).
% 0.13/0.40 fof(f1164,plain,(
% 0.13/0.40 sQ44_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ11_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1163])).
% 0.13/0.40 fof(f1166,definition,(
% 0.13/0.40 sQ58_spl <=> (inverse(sk_c3)=identity)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f1168,plain,(
% 0.13/0.40 ~inverse(sk_c3)=identity|sQ58_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f1166])).
% 0.13/0.40 fof(f1170,plain,(
% 0.13/0.40 ~sQ44_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ50_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f1146,f948,f136,f127,f82,f1008])).
% 0.13/0.40 fof(f1171,plain,(
% 0.13/0.40 ~sQ44_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ11_spl|sQ57_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f1145,f948,f82,f136,f127,f145,f1139])).
% 0.13/0.40 fof(f1172,plain,(
% 0.13/0.40 ~sQ44_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|~sQ54_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f1120,f948,f136,f127,f82,f1108])).
% 0.13/0.40 fof(f1173,plain,(
% 0.13/0.40 ~sQ44_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|sQ16_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f1080,f948,f82,f136,f127,f208])).
% 0.13/0.40 fof(f1174,plain,(
% 0.13/0.40 ~sQ44_spl|~sQ10_spl|~sQ9_spl|sQ46_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f1051,f948,f136,f127,f955])).
% 0.13/0.40 fof(f1203,plain,(
% 0.13/0.40 inverse(sk_c7)=identity|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ11_spl|~sQ57_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1148,f1140])).
% 0.13/0.40 fof(f1204,plain,(
% 0.13/0.40 $false|sQ45_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ11_spl|~sQ57_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f1203,f1076])).
% 0.13/0.40 fof(f1205,plain,(
% 0.13/0.40 sQ45_spl|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ11_spl|~sQ57_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1204])).
% 0.13/0.40 fof(f1210,plain,(
% 0.13/0.40 multiply(identity,sk_c3)=identity|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f1157,f980])).
% 0.13/0.40 fof(f1212,plain,(
% 0.13/0.40 sk_c3=identity|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f41,f1210])).
% 0.13/0.40 fof(f1215,plain,(
% 0.13/0.40 inverse(identity)=identity|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f1156,f977])).
% 0.13/0.40 fof(f1226,definition,(
% 0.13/0.40 sQ60_spl <=> (identity=identity)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f1228,plain,(
% 0.13/0.40 ~identity=identity|sQ60_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f1226])).
% 0.13/0.40 fof(f1231,plain,(
% 0.13/0.40 $false|sQ60_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f1228])).
% 0.13/0.40 fof(f1232,plain,(
% 0.13/0.40 sQ60_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1231])).
% 0.13/0.40 fof(f1253,plain,(
% 0.13/0.40 ~inverse(identity)=identity|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ49_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1215,f1006])).
% 0.13/0.40 fof(f1254,plain,(
% 0.13/0.40 ~identity=identity|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ49_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1215,f1253])).
% 0.13/0.40 fof(f1255,plain,(
% 0.13/0.40 $false|~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ49_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f1254])).
% 0.13/0.40 fof(f1256,plain,(
% 0.13/0.40 ~sQ11_spl|~sQ10_spl|~sQ9_spl|~sQ0_spl|sQ49_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1255])).
% 0.13/0.40 fof(f1280,plain,(
% 0.13/0.40 ~inverse(identity)=identity|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|sQ58_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1212,f1168])).
% 0.13/0.40 fof(f1281,plain,(
% 0.13/0.40 ~identity=identity|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|sQ58_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1215,f1280])).
% 0.13/0.40 fof(f1282,plain,(
% 0.13/0.40 $false|~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|sQ58_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f1281])).
% 0.13/0.40 fof(f1283,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ11_spl|~sQ10_spl|~sQ9_spl|sQ58_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1282])).
% 0.13/0.40 fof(f1286,plain,(
% 0.13/0.40 ~inverse(identity)=identity|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ11_spl|sQ56_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1156,f1129])).
% 0.13/0.40 fof(f1287,plain,(
% 0.13/0.40 ~identity=identity|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ11_spl|sQ56_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1215,f1286])).
% 0.13/0.40 fof(f1288,plain,(
% 0.13/0.40 $false|~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ11_spl|sQ56_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f1287])).
% 0.13/0.40 fof(f1289,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ10_spl|~sQ9_spl|~sQ11_spl|sQ56_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1288])).
% 0.13/0.40 fof(f1294,plain,(
% 0.13/0.40 identity=multiply(sk_c9,sk_c9)|~sQ10_spl|~sQ9_spl|~sQ7_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f941,f814])).
% 0.13/0.40 fof(f1378,plain,(
% 0.13/0.40 ~inverse(multiply(inverse(multiply(sk_c9,sk_c9)),sk_c1))=sk_c9|~sQ39_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f982,f889])).
% 0.13/0.40 fof(f1383,plain,(
% 0.13/0.40 ~inverse(multiply(inverse(identity),sk_c1))=sk_c9|~sQ7_spl|~sQ39_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1294,f1378])).
% 0.13/0.40 fof(f1384,plain,(
% 0.13/0.40 ~inverse(multiply(identity,sk_c1))=sk_c9|~sQ11_spl|~sQ0_spl|~sQ7_spl|~sQ39_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f1215,f1383])).
% 0.13/0.40 fof(f1385,plain,(
% 0.13/0.40 ~inverse(sk_c1)=sk_c9|~sQ11_spl|~sQ0_spl|~sQ7_spl|~sQ39_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f41,f1384])).
% 0.13/0.40 fof(f1386,plain,(
% 0.13/0.40 ~sk_c9=sk_c9|~sQ11_spl|~sQ0_spl|~sQ7_spl|~sQ39_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f110,f1385])).
% 0.13/0.40 fof(f1387,plain,(
% 0.13/0.40 $false|~sQ11_spl|~sQ0_spl|~sQ7_spl|~sQ39_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f1386])).
% 0.13/0.40 fof(f1388,plain,(
% 0.13/0.40 ~sQ11_spl|~sQ0_spl|~sQ7_spl|~sQ39_spl|~sQ10_spl|~sQ9_spl|~sQ8_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f1387])).
% 0.13/0.40 fof(f1389,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f88,f92,f96,f100,f104,f108,f112,f113,f116,f117,f121,f122,f125,f126,f130,f131,f132,f133,f134,f135,f139,f140,f141,f142,f143,f144,f148,f149,f150,f151,f152,f153,f166,f193,f202,f232,f236,f248,f733,f762,f773,f782,f801,f803,f891,f943,f958,f1050,f1164,f1170,f1171,f1172,f1173,f1174,f1205,f1232,f1256,f1283,f1289,f1388])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.052353 seconds
% 0.13/0.42 % CPU time: 0.197010 seconds
% 0.13/0.42 % Total memory used: 35.593 MB
% 0.13/0.42 % Net memory used: 35.501 MB
%------------------------------------------------------------------------------