%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP217-1 : 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 : n014.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 12:36:16 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP217-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.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 20:06:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f1,axiom,(
% 0.09/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f2,axiom,(
% 0.09/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f3,axiom,(
% 0.09/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f4,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c11| multiply(sk_c6,sk_c7) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f5,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c11| inverse(sk_c6) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f6,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c11| multiply(sk_c7,sk_c10) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f7,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c11| multiply(sk_c11,sk_c9) = sk_c10 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f8,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c11| multiply(sk_c8,sk_c11) = sk_c9 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f9,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c1) = sk_c11| inverse(sk_c8) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f10,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c10) = sk_c11| multiply(sk_c6,sk_c7) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f11,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c10) = sk_c11| inverse(sk_c6) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f12,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c10) = sk_c11| multiply(sk_c7,sk_c10) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f13,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c10) = sk_c11| multiply(sk_c11,sk_c9) = sk_c10 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f14,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c10) = sk_c11| multiply(sk_c8,sk_c11) = sk_c9 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f15,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c1,sk_c10) = sk_c11| inverse(sk_c8) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f16,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c2,sk_c3) = sk_c10| multiply(sk_c6,sk_c7) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f17,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c2,sk_c3) = sk_c10| inverse(sk_c6) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f18,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c2,sk_c3) = sk_c10| multiply(sk_c7,sk_c10) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f19,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c2,sk_c3) = sk_c10| multiply(sk_c11,sk_c9) = sk_c10 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f20,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c2,sk_c3) = sk_c10| multiply(sk_c8,sk_c11) = sk_c9 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f21,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c2,sk_c3) = sk_c10| inverse(sk_c8) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f22,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c2) = sk_c3| multiply(sk_c6,sk_c7) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f23,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c2) = sk_c3| inverse(sk_c6) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f24,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c2) = sk_c3| multiply(sk_c7,sk_c10) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f25,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c2) = sk_c3| multiply(sk_c11,sk_c9) = sk_c10 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f26,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c2) = sk_c3| multiply(sk_c8,sk_c11) = sk_c9 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f27,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c2) = sk_c3| inverse(sk_c8) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f28,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c3,sk_c11) = sk_c10| multiply(sk_c6,sk_c7) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f29,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c3,sk_c11) = sk_c10| inverse(sk_c6) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f30,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c3,sk_c11) = sk_c10| multiply(sk_c7,sk_c10) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f31,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c3,sk_c11) = sk_c10| multiply(sk_c11,sk_c9) = sk_c10 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f32,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c3,sk_c11) = sk_c10| multiply(sk_c8,sk_c11) = sk_c9 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f33,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c3,sk_c11) = sk_c10| inverse(sk_c8) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f34,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c11,sk_c5) = sk_c10| multiply(sk_c6,sk_c7) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f35,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c11,sk_c5) = sk_c10| inverse(sk_c6) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f36,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c11,sk_c5) = sk_c10| multiply(sk_c7,sk_c10) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f37,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c11,sk_c5) = sk_c10| multiply(sk_c11,sk_c9) = sk_c10 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f38,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c11,sk_c5) = sk_c10| multiply(sk_c8,sk_c11) = sk_c9 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f39,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c11,sk_c5) = sk_c10| inverse(sk_c8) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f40,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c4,sk_c11) = sk_c5| multiply(sk_c6,sk_c7) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f41,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c4,sk_c11) = sk_c5| inverse(sk_c6) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f42,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c4,sk_c11) = sk_c5| multiply(sk_c7,sk_c10) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f43,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c4,sk_c11) = sk_c5| multiply(sk_c11,sk_c9) = sk_c10 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f44,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c4,sk_c11) = sk_c5| multiply(sk_c8,sk_c11) = sk_c9 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f45,negated_conjecture,(
% 0.09/0.41 ( multiply(sk_c4,sk_c11) = sk_c5| inverse(sk_c8) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f46,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c4) = sk_c11| multiply(sk_c6,sk_c7) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f47,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c4) = sk_c11| inverse(sk_c6) = sk_c7 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f48,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c4) = sk_c11| multiply(sk_c7,sk_c10) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f49,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c4) = sk_c11| multiply(sk_c11,sk_c9) = sk_c10 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f50,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c4) = sk_c11| multiply(sk_c8,sk_c11) = sk_c9 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f51,negated_conjecture,(
% 0.09/0.41 ( inverse(sk_c4) = sk_c11| inverse(sk_c8) = sk_c11 ) ),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f52,negated_conjecture,(
% 0.09/0.41 (![X5,X6,X7,X8,X9,X2,X1,X3,X4]: (( inverse(X5) != sk_c11| multiply(X5,sk_c10) != sk_c11| multiply(X6,X7) != sk_c10| inverse(X6) != X7| multiply(X7,sk_c11) != sk_c10| multiply(sk_c11,X8) != sk_c10| multiply(X9,sk_c11) != X8| inverse(X9) != sk_c11| multiply(X2,X1) != sk_c11| inverse(X2) != X1| multiply(X1,sk_c10) != sk_c11| multiply(sk_c11,X3) != sk_c10| multiply(X4,sk_c11) != X3| inverse(X4) != sk_c11 ) ))),
% 0.09/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f53,plain,(
% 0.09/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.41 fof(f54,plain,(
% 0.09/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.41 fof(f55,plain,(
% 0.09/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.41 fof(f56,plain,(
% 0.09/0.41 inverse(sk_c1)=sk_c11|multiply(sk_c6,sk_c7)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.41 fof(f57,plain,(
% 0.09/0.41 inverse(sk_c1)=sk_c11|inverse(sk_c6)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.41 fof(f58,plain,(
% 0.09/0.41 inverse(sk_c1)=sk_c11|multiply(sk_c7,sk_c10)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.41 fof(f59,plain,(
% 0.09/0.41 inverse(sk_c1)=sk_c11|multiply(sk_c11,sk_c9)=sk_c10),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.41 fof(f60,plain,(
% 0.09/0.41 inverse(sk_c1)=sk_c11|multiply(sk_c8,sk_c11)=sk_c9),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.41 fof(f61,plain,(
% 0.09/0.41 inverse(sk_c1)=sk_c11|inverse(sk_c8)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.41 fof(f62,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c6,sk_c7)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.41 fof(f63,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c6)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.41 fof(f64,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c7,sk_c10)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.41 fof(f65,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c11,sk_c9)=sk_c10),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.41 fof(f66,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c8,sk_c11)=sk_c9),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.41 fof(f67,plain,(
% 0.09/0.41 multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c8)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.41 fof(f68,plain,(
% 0.09/0.41 multiply(sk_c2,sk_c3)=sk_c10|multiply(sk_c6,sk_c7)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.09/0.41 fof(f69,plain,(
% 0.09/0.41 multiply(sk_c2,sk_c3)=sk_c10|inverse(sk_c6)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.41 fof(f70,plain,(
% 0.09/0.41 multiply(sk_c2,sk_c3)=sk_c10|multiply(sk_c7,sk_c10)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/0.41 fof(f71,plain,(
% 0.09/0.41 multiply(sk_c2,sk_c3)=sk_c10|multiply(sk_c11,sk_c9)=sk_c10),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/0.41 fof(f72,plain,(
% 0.09/0.41 multiply(sk_c2,sk_c3)=sk_c10|multiply(sk_c8,sk_c11)=sk_c9),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.41 fof(f73,plain,(
% 0.09/0.41 multiply(sk_c2,sk_c3)=sk_c10|inverse(sk_c8)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/0.41 fof(f74,plain,(
% 0.09/0.41 inverse(sk_c2)=sk_c3|multiply(sk_c6,sk_c7)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.41 fof(f75,plain,(
% 0.09/0.41 inverse(sk_c2)=sk_c3|inverse(sk_c6)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.41 fof(f76,plain,(
% 0.09/0.41 inverse(sk_c2)=sk_c3|multiply(sk_c7,sk_c10)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.41 fof(f77,plain,(
% 0.09/0.41 inverse(sk_c2)=sk_c3|multiply(sk_c11,sk_c9)=sk_c10),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.41 fof(f78,plain,(
% 0.09/0.41 inverse(sk_c2)=sk_c3|multiply(sk_c8,sk_c11)=sk_c9),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f26])).
% 0.09/0.41 fof(f79,plain,(
% 0.09/0.41 inverse(sk_c2)=sk_c3|inverse(sk_c8)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.09/0.41 fof(f80,plain,(
% 0.09/0.41 multiply(sk_c3,sk_c11)=sk_c10|multiply(sk_c6,sk_c7)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.09/0.41 fof(f81,plain,(
% 0.09/0.41 multiply(sk_c3,sk_c11)=sk_c10|inverse(sk_c6)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.09/0.41 fof(f82,plain,(
% 0.09/0.41 multiply(sk_c3,sk_c11)=sk_c10|multiply(sk_c7,sk_c10)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.41 fof(f83,plain,(
% 0.09/0.41 multiply(sk_c3,sk_c11)=sk_c10|multiply(sk_c11,sk_c9)=sk_c10),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.41 fof(f84,plain,(
% 0.09/0.41 multiply(sk_c3,sk_c11)=sk_c10|multiply(sk_c8,sk_c11)=sk_c9),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.41 fof(f85,plain,(
% 0.09/0.41 multiply(sk_c3,sk_c11)=sk_c10|inverse(sk_c8)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.09/0.41 fof(f86,plain,(
% 0.09/0.41 multiply(sk_c11,sk_c5)=sk_c10|multiply(sk_c6,sk_c7)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f34])).
% 0.09/0.41 fof(f87,plain,(
% 0.09/0.41 multiply(sk_c11,sk_c5)=sk_c10|inverse(sk_c6)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f35])).
% 0.09/0.41 fof(f88,plain,(
% 0.09/0.41 multiply(sk_c11,sk_c5)=sk_c10|multiply(sk_c7,sk_c10)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f36])).
% 0.09/0.41 fof(f89,plain,(
% 0.09/0.41 multiply(sk_c11,sk_c5)=sk_c10|multiply(sk_c11,sk_c9)=sk_c10),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f37])).
% 0.09/0.41 fof(f90,plain,(
% 0.09/0.41 multiply(sk_c11,sk_c5)=sk_c10|multiply(sk_c8,sk_c11)=sk_c9),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f38])).
% 0.09/0.41 fof(f91,plain,(
% 0.09/0.41 multiply(sk_c11,sk_c5)=sk_c10|inverse(sk_c8)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f39])).
% 0.09/0.41 fof(f92,plain,(
% 0.09/0.41 multiply(sk_c4,sk_c11)=sk_c5|multiply(sk_c6,sk_c7)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f40])).
% 0.09/0.41 fof(f93,plain,(
% 0.09/0.41 multiply(sk_c4,sk_c11)=sk_c5|inverse(sk_c6)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f41])).
% 0.09/0.41 fof(f94,plain,(
% 0.09/0.41 multiply(sk_c4,sk_c11)=sk_c5|multiply(sk_c7,sk_c10)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f42])).
% 0.09/0.41 fof(f95,plain,(
% 0.09/0.41 multiply(sk_c4,sk_c11)=sk_c5|multiply(sk_c11,sk_c9)=sk_c10),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f43])).
% 0.09/0.41 fof(f96,plain,(
% 0.09/0.41 multiply(sk_c4,sk_c11)=sk_c5|multiply(sk_c8,sk_c11)=sk_c9),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f44])).
% 0.09/0.41 fof(f97,plain,(
% 0.09/0.41 multiply(sk_c4,sk_c11)=sk_c5|inverse(sk_c8)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f45])).
% 0.09/0.41 fof(f98,plain,(
% 0.09/0.41 inverse(sk_c4)=sk_c11|multiply(sk_c6,sk_c7)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f46])).
% 0.09/0.41 fof(f99,plain,(
% 0.09/0.41 inverse(sk_c4)=sk_c11|inverse(sk_c6)=sk_c7),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f47])).
% 0.09/0.41 fof(f100,plain,(
% 0.09/0.41 inverse(sk_c4)=sk_c11|multiply(sk_c7,sk_c10)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f48])).
% 0.09/0.41 fof(f101,plain,(
% 0.09/0.41 inverse(sk_c4)=sk_c11|multiply(sk_c11,sk_c9)=sk_c10),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f49])).
% 0.09/0.41 fof(f102,plain,(
% 0.09/0.41 inverse(sk_c4)=sk_c11|multiply(sk_c8,sk_c11)=sk_c9),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f50])).
% 0.09/0.41 fof(f103,plain,(
% 0.09/0.41 inverse(sk_c4)=sk_c11|inverse(sk_c8)=sk_c11),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f51])).
% 0.09/0.41 fof(f104,plain,(
% 0.09/0.41 ![X4]: ((![X3]: (((![X1]: ((![X2]: (((![X9]: ((![X8]: (((![X7]: ((![X6]: (((![X5]: (~inverse(X5)=sk_c11|~multiply(X5,sk_c10)=sk_c11))|~multiply(X6,X7)=sk_c10)|~inverse(X6)=X7))|~multiply(X7,sk_c11)=sk_c10))|~multiply(sk_c11,X8)=sk_c10)|~multiply(X9,sk_c11)=X8))|~inverse(X9)=sk_c11))|~multiply(X2,X1)=sk_c11)|~inverse(X2)=X1))|~multiply(X1,sk_c10)=sk_c11))|~multiply(sk_c11,X3)=sk_c10)|~multiply(X4,sk_c11)=X3))|~inverse(X4)=sk_c11)),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f52])).
% 0.09/0.42 fof(f105,plain,(
% 0.09/0.42 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~inverse(X0)=sk_c11|~multiply(X0,sk_c10)=sk_c11|~multiply(X1,X2)=sk_c10|~inverse(X1)=X2|~multiply(X2,sk_c11)=sk_c10|~multiply(sk_c11,X3)=sk_c10|~multiply(X4,sk_c11)=X3|~inverse(X4)=sk_c11|~multiply(X5,X6)=sk_c11|~inverse(X5)=X6|~multiply(X6,sk_c10)=sk_c11|~multiply(sk_c11,X7)=sk_c10|~multiply(X8,sk_c11)=X7|~inverse(X8)=sk_c11)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f104])).
% 0.09/0.42 fof(f106,definition,(
% 0.09/0.42 sQ0_spl <=> (inverse(sk_c1)=sk_c11)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f107,plain,(
% 0.09/0.42 inverse(sk_c1)=sk_c11|~sQ0_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f106])).
% 0.09/0.42 fof(f109,definition,(
% 0.09/0.42 sQ1_spl <=> (multiply(sk_c6,sk_c7)=sk_c11)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f110,plain,(
% 0.09/0.42 multiply(sk_c6,sk_c7)=sk_c11|~sQ1_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f109])).
% 0.09/0.42 fof(f112,plain,(
% 0.09/0.42 sQ0_spl|sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f56,f106,f109])).
% 0.09/0.42 fof(f113,definition,(
% 0.09/0.42 sQ2_spl <=> (inverse(sk_c6)=sk_c7)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f114,plain,(
% 0.09/0.42 inverse(sk_c6)=sk_c7|~sQ2_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f113])).
% 0.09/0.42 fof(f116,plain,(
% 0.09/0.42 sQ0_spl|sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f57,f106,f113])).
% 0.09/0.42 fof(f117,definition,(
% 0.09/0.42 sQ3_spl <=> (multiply(sk_c7,sk_c10)=sk_c11)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f118,plain,(
% 0.09/0.42 multiply(sk_c7,sk_c10)=sk_c11|~sQ3_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f117])).
% 0.09/0.42 fof(f120,plain,(
% 0.09/0.42 sQ0_spl|sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f58,f106,f117])).
% 0.09/0.42 fof(f121,definition,(
% 0.09/0.42 sQ4_spl <=> (multiply(sk_c11,sk_c9)=sk_c10)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f122,plain,(
% 0.09/0.42 multiply(sk_c11,sk_c9)=sk_c10|~sQ4_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f121])).
% 0.09/0.42 fof(f124,plain,(
% 0.09/0.42 sQ0_spl|sQ4_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f59,f106,f121])).
% 0.09/0.42 fof(f125,definition,(
% 0.09/0.42 sQ5_spl <=> (multiply(sk_c8,sk_c11)=sk_c9)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f126,plain,(
% 0.09/0.42 multiply(sk_c8,sk_c11)=sk_c9|~sQ5_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f125])).
% 0.09/0.42 fof(f128,plain,(
% 0.09/0.42 sQ0_spl|sQ5_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f60,f106,f125])).
% 0.09/0.42 fof(f129,definition,(
% 0.09/0.42 sQ6_spl <=> (inverse(sk_c8)=sk_c11)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f130,plain,(
% 0.09/0.42 inverse(sk_c8)=sk_c11|~sQ6_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f129])).
% 0.09/0.42 fof(f132,plain,(
% 0.09/0.42 sQ0_spl|sQ6_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f61,f106,f129])).
% 0.09/0.42 fof(f133,definition,(
% 0.09/0.42 sQ7_spl <=> (multiply(sk_c1,sk_c10)=sk_c11)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f134,plain,(
% 0.09/0.42 multiply(sk_c1,sk_c10)=sk_c11|~sQ7_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f133])).
% 0.09/0.42 fof(f136,plain,(
% 0.09/0.42 sQ7_spl|sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f62,f133,f109])).
% 0.09/0.42 fof(f137,plain,(
% 0.09/0.42 sQ7_spl|sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f63,f133,f113])).
% 0.09/0.42 fof(f138,plain,(
% 0.09/0.42 sQ7_spl|sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f64,f133,f117])).
% 0.09/0.42 fof(f139,plain,(
% 0.09/0.42 sQ7_spl|sQ4_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f65,f133,f121])).
% 0.09/0.42 fof(f140,plain,(
% 0.09/0.42 sQ7_spl|sQ5_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f66,f133,f125])).
% 0.09/0.42 fof(f141,plain,(
% 0.09/0.42 sQ7_spl|sQ6_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f67,f133,f129])).
% 0.09/0.42 fof(f142,definition,(
% 0.09/0.42 sQ8_spl <=> (multiply(sk_c2,sk_c3)=sk_c10)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f143,plain,(
% 0.09/0.42 multiply(sk_c2,sk_c3)=sk_c10|~sQ8_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f142])).
% 0.09/0.42 fof(f145,plain,(
% 0.09/0.42 sQ8_spl|sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f68,f142,f109])).
% 0.09/0.42 fof(f146,plain,(
% 0.09/0.42 sQ8_spl|sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f69,f142,f113])).
% 0.09/0.42 fof(f147,plain,(
% 0.09/0.42 sQ8_spl|sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f70,f142,f117])).
% 0.09/0.42 fof(f148,plain,(
% 0.09/0.42 sQ8_spl|sQ4_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f71,f142,f121])).
% 0.09/0.42 fof(f149,plain,(
% 0.09/0.42 sQ8_spl|sQ5_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f72,f142,f125])).
% 0.09/0.42 fof(f150,plain,(
% 0.09/0.42 sQ8_spl|sQ6_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f73,f142,f129])).
% 0.09/0.42 fof(f151,definition,(
% 0.09/0.42 sQ9_spl <=> (inverse(sk_c2)=sk_c3)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f152,plain,(
% 0.09/0.42 inverse(sk_c2)=sk_c3|~sQ9_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f151])).
% 0.09/0.42 fof(f154,plain,(
% 0.09/0.42 sQ9_spl|sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f74,f151,f109])).
% 0.09/0.42 fof(f155,plain,(
% 0.09/0.42 sQ9_spl|sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f75,f151,f113])).
% 0.09/0.42 fof(f156,plain,(
% 0.09/0.42 sQ9_spl|sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f76,f151,f117])).
% 0.09/0.42 fof(f157,plain,(
% 0.09/0.42 sQ9_spl|sQ4_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f77,f151,f121])).
% 0.09/0.42 fof(f158,plain,(
% 0.09/0.42 sQ9_spl|sQ5_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f78,f151,f125])).
% 0.09/0.42 fof(f159,plain,(
% 0.09/0.42 sQ9_spl|sQ6_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f79,f151,f129])).
% 0.09/0.42 fof(f160,definition,(
% 0.09/0.42 sQ10_spl <=> (multiply(sk_c3,sk_c11)=sk_c10)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f163,plain,(
% 0.09/0.42 sQ10_spl|sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f80,f160,f109])).
% 0.09/0.42 fof(f164,plain,(
% 0.09/0.42 sQ10_spl|sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f81,f160,f113])).
% 0.09/0.42 fof(f165,plain,(
% 0.09/0.42 sQ10_spl|sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f82,f160,f117])).
% 0.09/0.42 fof(f166,plain,(
% 0.09/0.42 sQ10_spl|sQ4_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f83,f160,f121])).
% 0.09/0.42 fof(f167,plain,(
% 0.09/0.42 sQ10_spl|sQ5_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f84,f160,f125])).
% 0.09/0.42 fof(f168,plain,(
% 0.09/0.42 sQ10_spl|sQ6_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f85,f160,f129])).
% 0.09/0.42 fof(f169,definition,(
% 0.09/0.42 sQ11_spl <=> (multiply(sk_c11,sk_c5)=sk_c10)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f170,plain,(
% 0.09/0.42 multiply(sk_c11,sk_c5)=sk_c10|~sQ11_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f169])).
% 0.09/0.42 fof(f172,plain,(
% 0.09/0.42 sQ11_spl|sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f86,f169,f109])).
% 0.09/0.42 fof(f173,plain,(
% 0.09/0.42 sQ11_spl|sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f87,f169,f113])).
% 0.09/0.42 fof(f174,plain,(
% 0.09/0.42 sQ11_spl|sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f88,f169,f117])).
% 0.09/0.42 fof(f175,plain,(
% 0.09/0.42 sQ11_spl|sQ4_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f89,f169,f121])).
% 0.09/0.42 fof(f176,plain,(
% 0.09/0.42 sQ11_spl|sQ5_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f90,f169,f125])).
% 0.09/0.42 fof(f177,plain,(
% 0.09/0.42 sQ11_spl|sQ6_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f91,f169,f129])).
% 0.09/0.42 fof(f178,definition,(
% 0.09/0.42 sQ12_spl <=> (multiply(sk_c4,sk_c11)=sk_c5)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f179,plain,(
% 0.09/0.42 multiply(sk_c4,sk_c11)=sk_c5|~sQ12_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f178])).
% 0.09/0.42 fof(f181,plain,(
% 0.09/0.42 sQ12_spl|sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f92,f178,f109])).
% 0.09/0.42 fof(f182,plain,(
% 0.09/0.42 sQ12_spl|sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f93,f178,f113])).
% 0.09/0.42 fof(f183,plain,(
% 0.09/0.42 sQ12_spl|sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f94,f178,f117])).
% 0.09/0.42 fof(f184,plain,(
% 0.09/0.42 sQ12_spl|sQ4_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f95,f178,f121])).
% 0.09/0.42 fof(f185,plain,(
% 0.09/0.42 sQ12_spl|sQ5_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f96,f178,f125])).
% 0.09/0.42 fof(f186,plain,(
% 0.09/0.42 sQ12_spl|sQ6_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f97,f178,f129])).
% 0.09/0.42 fof(f187,definition,(
% 0.09/0.42 sQ13_spl <=> (inverse(sk_c4)=sk_c11)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f188,plain,(
% 0.09/0.42 inverse(sk_c4)=sk_c11|~sQ13_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f187])).
% 0.09/0.42 fof(f190,plain,(
% 0.09/0.42 sQ13_spl|sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f98,f187,f109])).
% 0.09/0.42 fof(f191,plain,(
% 0.09/0.42 sQ13_spl|sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f99,f187,f113])).
% 0.09/0.42 fof(f192,plain,(
% 0.09/0.42 sQ13_spl|sQ3_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f100,f187,f117])).
% 0.09/0.42 fof(f193,plain,(
% 0.09/0.42 sQ13_spl|sQ4_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f101,f187,f121])).
% 0.09/0.42 fof(f194,plain,(
% 0.09/0.42 sQ13_spl|sQ5_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f102,f187,f125])).
% 0.09/0.42 fof(f195,plain,(
% 0.09/0.42 sQ13_spl|sQ6_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f103,f187,f129])).
% 0.09/0.42 fof(f196,definition,(
% 0.09/0.42 ![X0]: (sQ14_spl <=> (~inverse(X0)=sk_c11|~multiply(X0,sk_c10)=sk_c11))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f197,plain,(
% 0.09/0.42 ![X0]: (~inverse(X0)=sk_c11|~multiply(X0,sk_c10)=sk_c11|~sQ14_spl)),
% 0.09/0.42 inference(component_clause,[status(thm)],[f196])).
% 0.09/0.42 fof(f199,definition,(
% 0.09/0.42 ![X1,X2]: (sQ15_spl <=> (~multiply(X1,X2)=sk_c10|~inverse(X1)=X2|~multiply(X2,sk_c11)=sk_c10))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f200,plain,(
% 0.09/0.42 ![X0,X1]: (~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c11)=sk_c10|~sQ15_spl)),
% 0.09/0.42 inference(component_clause,[status(thm)],[f199])).
% 0.09/0.42 fof(f202,definition,(
% 0.09/0.42 ![X3,X4]: (sQ16_spl <=> (~multiply(sk_c11,X3)=sk_c10|~multiply(X4,sk_c11)=X3|~inverse(X4)=sk_c11))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f203,plain,(
% 0.09/0.42 ![X0,X1]: (~multiply(sk_c11,X0)=sk_c10|~multiply(X1,sk_c11)=X0|~inverse(X1)=sk_c11|~sQ16_spl)),
% 0.09/0.42 inference(component_clause,[status(thm)],[f202])).
% 0.09/0.42 fof(f205,definition,(
% 0.09/0.42 ![X5,X6]: (sQ17_spl <=> (~multiply(X5,X6)=sk_c11|~inverse(X5)=X6|~multiply(X6,sk_c10)=sk_c11))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f206,plain,(
% 0.09/0.42 ![X0,X1]: (~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c11|~sQ17_spl)),
% 0.09/0.42 inference(component_clause,[status(thm)],[f205])).
% 0.09/0.42 fof(f208,plain,(
% 0.09/0.42 sQ14_spl|sQ15_spl|sQ16_spl|sQ17_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f105,f196,f199,f202,f205])).
% 0.09/0.42 fof(f209,plain,(
% 0.09/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~sQ17_spl)),
% 0.09/0.42 inference(destructive_equality_resolution,[status(thm)],[f206])).
% 0.09/0.42 fof(f228,plain,(
% 0.09/0.42 ~multiply(sk_c6,inverse(sk_c6))=sk_c11|~multiply(sk_c7,sk_c10)=sk_c11|~sQ17_spl|~sQ2_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f114,f209])).
% 0.09/0.42 fof(f248,definition,(
% 0.09/0.42 sQ23_spl <=> (multiply(sk_c6,inverse(sk_c6))=sk_c11)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f250,plain,(
% 0.09/0.42 ~multiply(sk_c6,inverse(sk_c6))=sk_c11|sQ23_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f248])).
% 0.09/0.42 fof(f251,plain,(
% 0.09/0.42 ~sQ23_spl|~sQ3_spl|~sQ17_spl|~sQ2_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f228,f248,f117,f205,f113])).
% 0.09/0.42 fof(f258,plain,(
% 0.09/0.42 ~multiply(sk_c6,sk_c7)=sk_c11|~sQ2_spl|sQ23_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f114,f250])).
% 0.09/0.42 fof(f259,plain,(
% 0.09/0.42 ~sk_c11=sk_c11|~sQ1_spl|~sQ2_spl|sQ23_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f110,f258])).
% 0.09/0.42 fof(f260,plain,(
% 0.09/0.42 $false|~sQ1_spl|~sQ2_spl|sQ23_spl),
% 0.09/0.42 inference(trivial_equality_resolution,[status(thm)],[f259])).
% 0.09/0.42 fof(f261,plain,(
% 0.09/0.42 ~sQ1_spl|~sQ2_spl|sQ23_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f260])).
% 0.09/0.42 fof(f262,plain,(
% 0.09/0.42 ![X0]: (~multiply(sk_c11,multiply(X0,sk_c11))=sk_c10|~inverse(X0)=sk_c11|~sQ16_spl)),
% 0.09/0.42 inference(destructive_equality_resolution,[status(thm)],[f203])).
% 0.09/0.42 fof(f265,plain,(
% 0.09/0.42 ~multiply(sk_c11,sk_c5)=sk_c10|~inverse(sk_c4)=sk_c11|~sQ16_spl|~sQ12_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f179,f262])).
% 0.09/0.42 fof(f266,plain,(
% 0.09/0.42 ~multiply(sk_c11,sk_c9)=sk_c10|~inverse(sk_c8)=sk_c11|~sQ16_spl|~sQ5_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f126,f262])).
% 0.09/0.42 fof(f274,plain,(
% 0.09/0.42 ~sQ11_spl|~sQ13_spl|~sQ16_spl|~sQ12_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f265,f169,f187,f202,f178])).
% 0.09/0.42 fof(f275,plain,(
% 0.09/0.42 ~sQ4_spl|~sQ6_spl|~sQ16_spl|~sQ5_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f266,f121,f129,f202,f125])).
% 0.09/0.42 fof(f276,plain,(
% 0.09/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c10|~multiply(inverse(X0),sk_c11)=sk_c10|~sQ15_spl)),
% 0.09/0.42 inference(destructive_equality_resolution,[status(thm)],[f200])).
% 0.09/0.42 fof(f281,plain,(
% 0.09/0.42 multiply(sk_c11,sk_c8)=identity|~sQ6_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f130,f54])).
% 0.09/0.42 fof(f282,plain,(
% 0.09/0.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f54,f55])).
% 0.09/0.42 fof(f283,plain,(
% 0.09/0.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f53,f282])).
% 0.09/0.42 fof(f291,plain,(
% 0.09/0.42 ~multiply(sk_c2,inverse(sk_c2))=sk_c10|~multiply(sk_c3,sk_c11)=sk_c10|~sQ15_spl|~sQ9_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f152,f276])).
% 0.09/0.42 fof(f297,definition,(
% 0.09/0.42 sQ28_spl <=> (identity=sk_c10)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f299,plain,(
% 0.09/0.42 ~identity=sk_c10|sQ28_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f297])).
% 0.09/0.42 fof(f308,definition,(
% 0.09/0.42 sQ31_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c10)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f310,plain,(
% 0.09/0.42 ~multiply(sk_c2,inverse(sk_c2))=sk_c10|sQ31_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f308])).
% 0.09/0.42 fof(f311,plain,(
% 0.09/0.42 ~sQ31_spl|~sQ10_spl|~sQ15_spl|~sQ9_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f291,f308,f160,f199,f151])).
% 0.09/0.42 fof(f312,definition,(
% 0.09/0.42 sQ32_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c10)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f314,plain,(
% 0.09/0.42 ~multiply(sk_c1,inverse(sk_c1))=sk_c10|sQ32_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f312])).
% 0.09/0.42 fof(f316,definition,(
% 0.09/0.42 sQ33_spl <=> (multiply(sk_c8,inverse(sk_c8))=sk_c10)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f318,plain,(
% 0.09/0.42 ~multiply(sk_c8,inverse(sk_c8))=sk_c10|sQ33_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f316])).
% 0.09/0.42 fof(f320,plain,(
% 0.09/0.42 ~multiply(sk_c8,sk_c11)=sk_c10|~sQ6_spl|sQ33_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f130,f318])).
% 0.09/0.42 fof(f321,plain,(
% 0.09/0.42 ~sk_c9=sk_c10|~sQ5_spl|~sQ6_spl|sQ33_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f126,f320])).
% 0.09/0.42 fof(f322,plain,(
% 0.09/0.42 ~multiply(sk_c1,sk_c11)=sk_c10|~sQ0_spl|sQ32_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f107,f314])).
% 0.09/0.42 fof(f323,plain,(
% 0.09/0.42 ~multiply(sk_c2,sk_c3)=sk_c10|~sQ9_spl|sQ31_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f152,f310])).
% 0.09/0.42 fof(f324,plain,(
% 0.09/0.42 ~sk_c10=sk_c10|~sQ8_spl|~sQ9_spl|sQ31_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f143,f323])).
% 0.09/0.42 fof(f325,plain,(
% 0.09/0.42 $false|~sQ8_spl|~sQ9_spl|sQ31_spl),
% 0.09/0.42 inference(trivial_equality_resolution,[status(thm)],[f324])).
% 0.09/0.42 fof(f326,plain,(
% 0.09/0.42 ~sQ8_spl|~sQ9_spl|sQ31_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f325])).
% 0.09/0.42 fof(f330,plain,(
% 0.09/0.42 ~inverse(sk_c1)=sk_c11|~sQ14_spl|~sQ7_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f197,f134])).
% 0.09/0.42 fof(f337,plain,(
% 0.09/0.42 ~sk_c11=sk_c11|~sQ0_spl|~sQ14_spl|~sQ7_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f107,f330])).
% 0.09/0.42 fof(f338,plain,(
% 0.09/0.42 $false|~sQ0_spl|~sQ14_spl|~sQ7_spl),
% 0.09/0.42 inference(trivial_equality_resolution,[status(thm)],[f337])).
% 0.09/0.42 fof(f339,plain,(
% 0.09/0.42 ~sQ0_spl|~sQ14_spl|~sQ7_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f338])).
% 0.09/0.42 fof(f348,definition,(
% 0.09/0.42 sQ35_spl <=> (identity=sk_c11)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f349,plain,(
% 0.09/0.42 identity=sk_c11|~sQ35_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f348])).
% 0.09/0.42 fof(f350,plain,(
% 0.09/0.42 ~identity=sk_c11|sQ35_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f348])).
% 0.09/0.42 fof(f381,plain,(
% 0.09/0.42 sk_c3=multiply(inverse(sk_c2),sk_c10)|~sQ8_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f143,f283])).
% 0.09/0.42 fof(f384,plain,(
% 0.09/0.42 sk_c11=multiply(inverse(sk_c4),sk_c5)|~sQ12_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f179,f283])).
% 0.09/0.42 fof(f390,plain,(
% 0.09/0.42 sk_c11=multiply(inverse(sk_c8),sk_c9)|~sQ5_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f126,f283])).
% 0.09/0.42 fof(f397,plain,(
% 0.09/0.42 sk_c3=multiply(sk_c3,sk_c10)|~sQ9_spl|~sQ8_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f152,f381])).
% 0.09/0.42 fof(f398,plain,(
% 0.09/0.42 sk_c11=multiply(sk_c11,sk_c5)|~sQ13_spl|~sQ12_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f188,f384])).
% 0.09/0.42 fof(f399,plain,(
% 0.09/0.42 sk_c11=sk_c10|~sQ11_spl|~sQ13_spl|~sQ12_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f170,f398])).
% 0.09/0.42 fof(f402,plain,(
% 0.09/0.42 sk_c11=multiply(sk_c11,sk_c9)|~sQ6_spl|~sQ5_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f130,f390])).
% 0.09/0.42 fof(f411,plain,(
% 0.09/0.42 ~identity=sk_c10|~sQ11_spl|~sQ13_spl|~sQ12_spl|sQ35_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f399,f350])).
% 0.09/0.42 fof(f412,plain,(
% 0.09/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c10|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ17_spl)),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f399,f209])).
% 0.09/0.42 fof(f420,plain,(
% 0.09/0.42 inverse(sk_c1)=sk_c10|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f399,f107])).
% 0.09/0.42 fof(f425,plain,(
% 0.09/0.42 multiply(sk_c10,sk_c5)=sk_c10|~sQ13_spl|~sQ12_spl|~sQ11_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f399,f170])).
% 0.09/0.42 fof(f431,plain,(
% 0.09/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c10|~multiply(inverse(X0),sk_c10)=sk_c10|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ17_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f399,f412])).
% 0.09/0.42 fof(f446,definition,(
% 0.09/0.42 sQ38_spl <=> (multiply(sk_c10,sk_c10)=sk_c10)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f448,plain,(
% 0.09/0.42 ~multiply(sk_c10,sk_c10)=sk_c10|sQ38_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f446])).
% 0.09/0.42 fof(f450,plain,(
% 0.09/0.42 ~multiply(sk_c1,inverse(sk_c1))=sk_c10|~multiply(sk_c10,sk_c10)=sk_c10|~sQ17_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f420,f431])).
% 0.09/0.42 fof(f453,plain,(
% 0.09/0.42 ~sQ32_spl|~sQ38_spl|~sQ17_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f450,f312,f446,f205,f169,f187,f178,f106])).
% 0.09/0.42 fof(f470,definition,(
% 0.09/0.42 sQ40_spl <=> (sk_c10=sk_c10)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f472,plain,(
% 0.09/0.42 ~sk_c10=sk_c10|sQ40_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f470])).
% 0.09/0.42 fof(f475,plain,(
% 0.09/0.42 $false|sQ40_spl),
% 0.09/0.42 inference(trivial_equality_resolution,[status(thm)],[f472])).
% 0.09/0.42 fof(f476,plain,(
% 0.09/0.42 sQ40_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f475])).
% 0.09/0.42 fof(f478,plain,(
% 0.09/0.42 sk_c10=multiply(inverse(sk_c3),sk_c3)|~sQ9_spl|~sQ8_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f397,f283])).
% 0.09/0.42 fof(f481,plain,(
% 0.09/0.42 sk_c10=identity|~sQ9_spl|~sQ8_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f54,f478])).
% 0.09/0.42 fof(f482,plain,(
% 0.09/0.42 $false|sQ28_spl|~sQ9_spl|~sQ8_spl),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f481,f299])).
% 0.09/0.42 fof(f483,plain,(
% 0.09/0.42 sQ28_spl|~sQ9_spl|~sQ8_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f482])).
% 0.09/0.42 fof(f484,plain,(
% 0.09/0.42 ~sQ28_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|sQ35_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f411,f297,f169,f187,f178,f348])).
% 0.09/0.42 fof(f485,plain,(
% 0.09/0.42 identity=sk_c10|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ35_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f399,f349])).
% 0.09/0.42 fof(f490,plain,(
% 0.09/0.42 ![X0]: (multiply(sk_c10,X0)=X0|~sQ9_spl|~sQ8_spl)),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f481,f53])).
% 0.09/0.42 fof(f578,plain,(
% 0.09/0.42 inverse(sk_c8)=sk_c10|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f582,f130])).
% 0.09/0.42 fof(f580,plain,(
% 0.09/0.42 multiply(sk_c10,sk_c9)=sk_c10|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f582,f122])).
% 0.09/0.42 fof(f581,plain,(
% 0.09/0.42 multiply(sk_c6,sk_c7)=sk_c10|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f582,f110])).
% 0.09/0.42 fof(f582,plain,(
% 0.09/0.42 sk_c11=sk_c10|~sQ4_spl|~sQ6_spl|~sQ5_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f122,f402])).
% 0.09/0.42 fof(f586,plain,(
% 0.09/0.42 multiply(sk_c10,sk_c8)=identity|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f582,f281])).
% 0.09/0.42 fof(f594,plain,(
% 0.09/0.42 multiply(sk_c7,sk_c10)=sk_c10|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f582,f118])).
% 0.09/0.42 fof(f602,plain,(
% 0.09/0.42 ![X0]: (~multiply(X0,inverse(X0))=sk_c10|~multiply(inverse(X0),sk_c10)=sk_c10|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ15_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f582,f276])).
% 0.09/0.42 fof(f604,plain,(
% 0.09/0.42 ~multiply(sk_c8,inverse(sk_c8))=sk_c10|~multiply(sk_c10,sk_c10)=sk_c10|~sQ15_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f578,f602])).
% 0.09/0.42 fof(f607,plain,(
% 0.09/0.42 ~sQ33_spl|~sQ38_spl|~sQ15_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f604,f316,f446,f199,f121,f125,f129])).
% 0.09/0.42 fof(f621,plain,(
% 0.09/0.42 ![X0]: (multiply(sk_c10,X0)=X0|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ35_spl)),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f485,f53])).
% 0.09/0.42 fof(f648,plain,(
% 0.09/0.42 inverse(sk_c1)=sk_c5|~sQ9_spl|~sQ8_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f653,f420])).
% 0.09/0.42 fof(f651,plain,(
% 0.09/0.42 sk_c11=sk_c5|~sQ9_spl|~sQ8_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f653,f399])).
% 0.09/0.42 fof(f653,plain,(
% 0.09/0.42 sk_c5=sk_c10|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f490,f425])).
% 0.09/0.42 fof(f660,plain,(
% 0.09/0.42 ![X0]: (multiply(sk_c5,X0)=X0|~sQ9_spl|~sQ8_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ35_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f653,f621])).
% 0.09/0.42 fof(f665,plain,(
% 0.09/0.42 ![X0]: (X0=multiply(sk_c5,multiply(sk_c1,X0))|~sQ9_spl|~sQ8_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl)),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f648,f283])).
% 0.09/0.42 fof(f666,plain,(
% 0.09/0.42 ![X0]: (X0=multiply(sk_c1,X0)|~sQ35_spl|~sQ9_spl|~sQ8_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f660,f665])).
% 0.09/0.42 fof(f679,plain,(
% 0.09/0.42 ~multiply(sk_c5,sk_c10)=sk_c10|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|sQ38_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f653,f448])).
% 0.09/0.42 fof(f680,plain,(
% 0.09/0.42 ~sk_c10=sk_c10|~sQ35_spl|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|sQ38_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f660,f679])).
% 0.09/0.42 fof(f681,plain,(
% 0.09/0.42 ~sk_c5=sk_c10|~sQ35_spl|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|sQ38_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f653,f680])).
% 0.09/0.42 fof(f682,plain,(
% 0.09/0.42 ~sk_c5=sk_c5|~sQ35_spl|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|sQ38_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f653,f681])).
% 0.09/0.42 fof(f683,plain,(
% 0.09/0.42 $false|~sQ35_spl|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|sQ38_spl),
% 0.09/0.42 inference(trivial_equality_resolution,[status(thm)],[f682])).
% 0.09/0.42 fof(f684,plain,(
% 0.09/0.42 ~sQ35_spl|~sQ9_spl|~sQ8_spl|~sQ13_spl|~sQ12_spl|~sQ11_spl|sQ38_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f683])).
% 0.09/0.42 fof(f685,plain,(
% 0.09/0.42 ~sk_c11=sk_c10|~sQ35_spl|~sQ9_spl|~sQ8_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ32_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f666,f322])).
% 0.09/0.42 fof(f686,plain,(
% 0.09/0.42 ~sk_c5=sk_c10|~sQ35_spl|~sQ9_spl|~sQ8_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ32_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f651,f685])).
% 0.09/0.42 fof(f687,plain,(
% 0.09/0.42 ~sk_c5=sk_c5|~sQ35_spl|~sQ9_spl|~sQ8_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ32_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f653,f686])).
% 0.09/0.42 fof(f688,plain,(
% 0.09/0.42 $false|~sQ35_spl|~sQ9_spl|~sQ8_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ32_spl),
% 0.09/0.42 inference(trivial_equality_resolution,[status(thm)],[f687])).
% 0.09/0.42 fof(f689,plain,(
% 0.09/0.42 ~sQ35_spl|~sQ9_spl|~sQ8_spl|~sQ11_spl|~sQ13_spl|~sQ12_spl|~sQ0_spl|sQ32_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f688])).
% 0.09/0.42 fof(f695,plain,(
% 0.09/0.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f54,f55])).
% 0.09/0.42 fof(f696,plain,(
% 0.09/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f283,f695])).
% 0.09/0.42 fof(f736,plain,(
% 0.09/0.42 sk_c9=multiply(inverse(sk_c10),sk_c10)|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f580,f283])).
% 0.09/0.42 fof(f738,plain,(
% 0.09/0.42 sk_c9=identity|~sQ6_spl|~sQ5_spl|~sQ4_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f54,f736])).
% 0.09/0.42 fof(f742,plain,(
% 0.09/0.42 ![X0]: (multiply(sk_c9,X0)=X0|~sQ6_spl|~sQ5_spl|~sQ4_spl)),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f738,f696])).
% 0.09/0.42 fof(f744,plain,(
% 0.09/0.42 ![X0]: (multiply(inverse(X0),X0)=sk_c9|~sQ6_spl|~sQ5_spl|~sQ4_spl)),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f738,f54])).
% 0.09/0.42 fof(f747,plain,(
% 0.09/0.42 sk_c7=multiply(inverse(sk_c6),sk_c10)|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f581,f283])).
% 0.09/0.42 fof(f749,plain,(
% 0.09/0.42 sk_c7=multiply(sk_c7,sk_c10)|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f114,f747])).
% 0.09/0.42 fof(f750,plain,(
% 0.09/0.42 sk_c7=sk_c10|~sQ3_spl|~sQ2_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f594,f749])).
% 0.09/0.42 fof(f752,plain,(
% 0.09/0.42 multiply(sk_c10,sk_c10)=sk_c10|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f750,f594])).
% 0.09/0.42 fof(f799,plain,(
% 0.09/0.42 multiply(sk_c10,sk_c8)=sk_c9|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f738,f586])).
% 0.09/0.42 fof(f852,plain,(
% 0.09/0.42 sk_c10=multiply(inverse(sk_c10),sk_c10)|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f752,f283])).
% 0.09/0.42 fof(f854,plain,(
% 0.09/0.42 sk_c10=sk_c9|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f744,f852])).
% 0.09/0.42 fof(f855,plain,(
% 0.09/0.42 $false|sQ33_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f854,f321])).
% 0.09/0.42 fof(f856,plain,(
% 0.09/0.42 sQ33_spl|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f855])).
% 0.09/0.42 fof(f868,plain,(
% 0.09/0.42 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c10)=sk_c11|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ14_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f582,f197])).
% 0.09/0.42 fof(f869,plain,(
% 0.09/0.42 ![X0]: (~inverse(X0)=sk_c10|~multiply(X0,sk_c10)=sk_c10|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ14_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f582,f868])).
% 0.09/0.42 fof(f902,plain,(
% 0.09/0.42 ~sk_c10=sk_c10|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|sQ38_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f752,f448])).
% 0.09/0.42 fof(f903,plain,(
% 0.09/0.42 $false|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|sQ38_spl),
% 0.09/0.42 inference(trivial_equality_resolution,[status(thm)],[f902])).
% 0.09/0.42 fof(f904,plain,(
% 0.09/0.42 ~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl|sQ38_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f903])).
% 0.09/0.42 fof(f917,plain,(
% 0.09/0.42 multiply(sk_c9,sk_c8)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f854,f799])).
% 0.09/0.42 fof(f921,plain,(
% 0.09/0.42 inverse(sk_c8)=sk_c9|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f854,f578])).
% 0.09/0.42 fof(f927,plain,(
% 0.09/0.42 sk_c8=sk_c9|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f742,f917])).
% 0.09/0.42 fof(f945,plain,(
% 0.09/0.42 sk_c10=sk_c8|~sQ2_spl|~sQ1_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ3_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f927,f854])).
% 0.09/0.42 fof(f948,plain,(
% 0.09/0.42 ![X0]: (multiply(sk_c8,X0)=X0|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ4_spl)),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f927,f742])).
% 0.09/0.42 fof(f969,plain,(
% 0.09/0.42 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c10)=sk_c10|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ14_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f945,f869])).
% 0.09/0.42 fof(f970,plain,(
% 0.09/0.42 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c8)=sk_c10|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ14_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f945,f969])).
% 0.09/0.42 fof(f971,plain,(
% 0.09/0.42 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c8)=sk_c8|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ14_spl)),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f945,f970])).
% 0.09/0.42 fof(f980,plain,(
% 0.09/0.42 inverse(sk_c8)=sk_c8|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ5_spl|~sQ6_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f927,f921])).
% 0.09/0.42 fof(f983,plain,(
% 0.09/0.42 ~inverse(sk_c8)=sk_c8|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ14_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f948,f971])).
% 0.09/0.42 fof(f987,plain,(
% 0.09/0.42 ~sk_c8=sk_c8|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ14_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f980,f983])).
% 0.09/0.42 fof(f988,plain,(
% 0.09/0.42 $false|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ14_spl),
% 0.09/0.42 inference(trivial_equality_resolution,[status(thm)],[f987])).
% 0.09/0.42 fof(f989,plain,(
% 0.09/0.42 ~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ4_spl|~sQ6_spl|~sQ5_spl|~sQ14_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f988])).
% 0.09/0.42 fof(f990,plain,(
% 0.09/0.42 $false),
% 0.09/0.42 inference(sat_refutation,[status(thm)],[f112,f116,f120,f124,f128,f132,f136,f137,f138,f139,f140,f141,f145,f146,f147,f148,f149,f150,f154,f155,f156,f157,f158,f159,f163,f164,f165,f166,f167,f168,f172,f173,f174,f175,f176,f177,f181,f182,f183,f184,f185,f186,f190,f191,f192,f193,f194,f195,f208,f251,f261,f274,f275,f311,f326,f339,f453,f476,f483,f484,f607,f684,f689,f856,f904,f989])).
% 0.09/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.46 % Elapsed time: 0.080588 seconds
% 0.09/0.46 % CPU time: 0.306003 seconds
% 0.09/0.46 % Total memory used: 105.653 MB
% 0.09/0.46 % Net memory used: 105.552 MB
%------------------------------------------------------------------------------