%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP244-1 : 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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:19 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP244-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.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 20:10:16 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,axiom,(
% 0.14/0.38 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f2,axiom,(
% 0.14/0.38 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,axiom,(
% 0.14/0.38 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f4,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c4,sk_c11) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f5,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c4) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f6,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c5,sk_c10) = sk_c9 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f7,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c5) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f8,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c6) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f9,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c6,sk_c10) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f10,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c7,sk_c8) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f11,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c7) = sk_c8 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f12,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c8,sk_c9) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f13,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c1) = sk_c11| multiply(sk_c4,sk_c11) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f14,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c1) = sk_c11| inverse(sk_c4) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f15,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c1) = sk_c11| multiply(sk_c5,sk_c10) = sk_c9 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f16,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c1) = sk_c11| inverse(sk_c5) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f17,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c1) = sk_c11| inverse(sk_c6) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f18,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c1) = sk_c11| multiply(sk_c6,sk_c10) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f19,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c1) = sk_c11| multiply(sk_c7,sk_c8) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f20,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c1) = sk_c11| inverse(sk_c7) = sk_c8 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f21,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c1) = sk_c11| multiply(sk_c8,sk_c9) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f22,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c4,sk_c11) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f23,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c4) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f24,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c5,sk_c10) = sk_c9 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f25,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c5) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f26,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c6) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f27,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c6,sk_c10) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f28,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c7,sk_c8) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f29,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c7) = sk_c8 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f30,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c8,sk_c9) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f31,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c2) = sk_c10| multiply(sk_c4,sk_c11) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f32,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c2) = sk_c10| inverse(sk_c4) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f33,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c2) = sk_c10| multiply(sk_c5,sk_c10) = sk_c9 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f34,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c2) = sk_c10| inverse(sk_c5) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f35,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c2) = sk_c10| inverse(sk_c6) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f36,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c2) = sk_c10| multiply(sk_c6,sk_c10) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f37,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c2) = sk_c10| multiply(sk_c7,sk_c8) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f38,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c2) = sk_c10| inverse(sk_c7) = sk_c8 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f39,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c2) = sk_c10| multiply(sk_c8,sk_c9) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f40,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c3) = sk_c11| multiply(sk_c4,sk_c11) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f41,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c3) = sk_c11| inverse(sk_c4) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f42,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c3) = sk_c11| multiply(sk_c5,sk_c10) = sk_c9 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f43,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c3) = sk_c11| inverse(sk_c5) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f44,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c3) = sk_c11| inverse(sk_c6) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f45,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c3) = sk_c11| multiply(sk_c6,sk_c10) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f46,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c3) = sk_c11| multiply(sk_c7,sk_c8) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f47,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c3) = sk_c11| inverse(sk_c7) = sk_c8 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f48,negated_conjecture,(
% 0.14/0.38 ( inverse(sk_c3) = sk_c11| multiply(sk_c8,sk_c9) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f49,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c3,sk_c10) = sk_c11| multiply(sk_c4,sk_c11) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f50,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c3,sk_c10) = sk_c11| inverse(sk_c4) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f51,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c3,sk_c10) = sk_c11| multiply(sk_c5,sk_c10) = sk_c9 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f52,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c3,sk_c10) = sk_c11| inverse(sk_c5) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f53,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c3,sk_c10) = sk_c11| inverse(sk_c6) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f54,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c3,sk_c10) = sk_c11| multiply(sk_c6,sk_c10) = sk_c11 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f55,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c3,sk_c10) = sk_c11| multiply(sk_c7,sk_c8) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f56,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c3,sk_c10) = sk_c11| inverse(sk_c7) = sk_c8 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f57,negated_conjecture,(
% 0.14/0.38 ( multiply(sk_c3,sk_c10) = sk_c11| multiply(sk_c8,sk_c9) = sk_c10 ) ),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f58,negated_conjecture,(
% 0.14/0.38 (![X4,X5,X6,X1,X2,X3,X7,X8]: (( multiply(X4,sk_c11) != sk_c10| inverse(X4) != sk_c11| multiply(X5,sk_c10) != sk_c9| inverse(X5) != sk_c10| inverse(X6) != sk_c11| multiply(X6,sk_c10) != sk_c11| multiply(X1,sk_c11) != sk_c10| inverse(X1) != sk_c11| multiply(X2,sk_c10) != sk_c9| inverse(X2) != sk_c10| inverse(X3) != sk_c11| multiply(X3,sk_c10) != sk_c11| multiply(X7,X8) != sk_c10| inverse(X7) != X8| multiply(X8,sk_c9) != sk_c10 ) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f59,plain,(
% 0.14/0.38 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.38 fof(f60,plain,(
% 0.14/0.38 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.38 fof(f61,plain,(
% 0.14/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.38 fof(f62,plain,(
% 0.14/0.38 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c4,sk_c11)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.38 fof(f63,plain,(
% 0.14/0.38 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c4)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.38 fof(f64,plain,(
% 0.14/0.38 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c5,sk_c10)=sk_c9),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.38 fof(f65,plain,(
% 0.14/0.38 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c5)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.38 fof(f66,plain,(
% 0.14/0.38 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c6)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.38 fof(f67,plain,(
% 0.14/0.38 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c6,sk_c10)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.38 fof(f68,plain,(
% 0.14/0.38 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c7,sk_c8)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.38 fof(f69,plain,(
% 0.14/0.38 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c7)=sk_c8),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.38 fof(f70,plain,(
% 0.14/0.38 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c8,sk_c9)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.38 fof(f71,plain,(
% 0.14/0.38 inverse(sk_c1)=sk_c11|multiply(sk_c4,sk_c11)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.38 fof(f72,plain,(
% 0.14/0.38 inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.38 fof(f73,plain,(
% 0.14/0.38 inverse(sk_c1)=sk_c11|multiply(sk_c5,sk_c10)=sk_c9),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.38 fof(f74,plain,(
% 0.14/0.38 inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.38 fof(f75,plain,(
% 0.14/0.38 inverse(sk_c1)=sk_c11|inverse(sk_c6)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.38 fof(f76,plain,(
% 0.14/0.38 inverse(sk_c1)=sk_c11|multiply(sk_c6,sk_c10)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.38 fof(f77,plain,(
% 0.14/0.38 inverse(sk_c1)=sk_c11|multiply(sk_c7,sk_c8)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.38 fof(f78,plain,(
% 0.14/0.38 inverse(sk_c1)=sk_c11|inverse(sk_c7)=sk_c8),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.38 fof(f79,plain,(
% 0.14/0.38 inverse(sk_c1)=sk_c11|multiply(sk_c8,sk_c9)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.38 fof(f80,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c4,sk_c11)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.38 fof(f81,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c4)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/0.38 fof(f82,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c5,sk_c10)=sk_c9),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.38 fof(f83,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c5)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.38 fof(f84,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c6)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.38 fof(f85,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c6,sk_c10)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.38 fof(f86,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c7,sk_c8)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.38 fof(f87,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c7)=sk_c8),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.38 fof(f88,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c8,sk_c9)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.38 fof(f89,plain,(
% 0.14/0.38 inverse(sk_c2)=sk_c10|multiply(sk_c4,sk_c11)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.38 fof(f90,plain,(
% 0.14/0.38 inverse(sk_c2)=sk_c10|inverse(sk_c4)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.38 fof(f91,plain,(
% 0.14/0.38 inverse(sk_c2)=sk_c10|multiply(sk_c5,sk_c10)=sk_c9),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.38 fof(f92,plain,(
% 0.14/0.38 inverse(sk_c2)=sk_c10|inverse(sk_c5)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/0.38 fof(f93,plain,(
% 0.14/0.38 inverse(sk_c2)=sk_c10|inverse(sk_c6)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f35])).
% 0.14/0.38 fof(f94,plain,(
% 0.14/0.38 inverse(sk_c2)=sk_c10|multiply(sk_c6,sk_c10)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f36])).
% 0.14/0.38 fof(f95,plain,(
% 0.14/0.38 inverse(sk_c2)=sk_c10|multiply(sk_c7,sk_c8)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f37])).
% 0.14/0.38 fof(f96,plain,(
% 0.14/0.38 inverse(sk_c2)=sk_c10|inverse(sk_c7)=sk_c8),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.38 fof(f97,plain,(
% 0.14/0.38 inverse(sk_c2)=sk_c10|multiply(sk_c8,sk_c9)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f39])).
% 0.14/0.38 fof(f98,plain,(
% 0.14/0.38 inverse(sk_c3)=sk_c11|multiply(sk_c4,sk_c11)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f40])).
% 0.14/0.38 fof(f99,plain,(
% 0.14/0.38 inverse(sk_c3)=sk_c11|inverse(sk_c4)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f41])).
% 0.14/0.38 fof(f100,plain,(
% 0.14/0.38 inverse(sk_c3)=sk_c11|multiply(sk_c5,sk_c10)=sk_c9),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f42])).
% 0.14/0.38 fof(f101,plain,(
% 0.14/0.38 inverse(sk_c3)=sk_c11|inverse(sk_c5)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f43])).
% 0.14/0.38 fof(f102,plain,(
% 0.14/0.38 inverse(sk_c3)=sk_c11|inverse(sk_c6)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f44])).
% 0.14/0.38 fof(f103,plain,(
% 0.14/0.38 inverse(sk_c3)=sk_c11|multiply(sk_c6,sk_c10)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f45])).
% 0.14/0.38 fof(f104,plain,(
% 0.14/0.38 inverse(sk_c3)=sk_c11|multiply(sk_c7,sk_c8)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f46])).
% 0.14/0.38 fof(f105,plain,(
% 0.14/0.38 inverse(sk_c3)=sk_c11|inverse(sk_c7)=sk_c8),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 0.14/0.38 fof(f106,plain,(
% 0.14/0.38 inverse(sk_c3)=sk_c11|multiply(sk_c8,sk_c9)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f48])).
% 0.14/0.38 fof(f107,plain,(
% 0.14/0.38 multiply(sk_c3,sk_c10)=sk_c11|multiply(sk_c4,sk_c11)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f49])).
% 0.14/0.38 fof(f108,plain,(
% 0.14/0.38 multiply(sk_c3,sk_c10)=sk_c11|inverse(sk_c4)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f50])).
% 0.14/0.38 fof(f109,plain,(
% 0.14/0.38 multiply(sk_c3,sk_c10)=sk_c11|multiply(sk_c5,sk_c10)=sk_c9),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f51])).
% 0.14/0.38 fof(f110,plain,(
% 0.14/0.38 multiply(sk_c3,sk_c10)=sk_c11|inverse(sk_c5)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f52])).
% 0.14/0.38 fof(f111,plain,(
% 0.14/0.38 multiply(sk_c3,sk_c10)=sk_c11|inverse(sk_c6)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f53])).
% 0.14/0.38 fof(f112,plain,(
% 0.14/0.38 multiply(sk_c3,sk_c10)=sk_c11|multiply(sk_c6,sk_c10)=sk_c11),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f54])).
% 0.14/0.38 fof(f113,plain,(
% 0.14/0.38 multiply(sk_c3,sk_c10)=sk_c11|multiply(sk_c7,sk_c8)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f55])).
% 0.14/0.38 fof(f114,plain,(
% 0.14/0.38 multiply(sk_c3,sk_c10)=sk_c11|inverse(sk_c7)=sk_c8),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f56])).
% 0.14/0.38 fof(f115,plain,(
% 0.14/0.38 multiply(sk_c3,sk_c10)=sk_c11|multiply(sk_c8,sk_c9)=sk_c10),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f57])).
% 0.14/0.38 fof(f116,plain,(
% 0.14/0.38 ![X8]: ((![X7]: (((![X3]: (((![X2]: (((![X1]: (((![X6]: (((![X5]: (((![X4]: (~multiply(X4,sk_c11)=sk_c10|~inverse(X4)=sk_c11))|~multiply(X5,sk_c10)=sk_c9)|~inverse(X5)=sk_c10))|~inverse(X6)=sk_c11)|~multiply(X6,sk_c10)=sk_c11))|~multiply(X1,sk_c11)=sk_c10)|~inverse(X1)=sk_c11))|~multiply(X2,sk_c10)=sk_c9)|~inverse(X2)=sk_c10))|~inverse(X3)=sk_c11)|~multiply(X3,sk_c10)=sk_c11))|~multiply(X7,X8)=sk_c10)|~inverse(X7)=X8))|~multiply(X8,sk_c9)=sk_c10)),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f58])).
% 0.14/0.38 fof(f117,plain,(
% 0.14/0.38 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~multiply(X1,sk_c10)=sk_c9|~inverse(X1)=sk_c10|~inverse(X2)=sk_c11|~multiply(X2,sk_c10)=sk_c11|~multiply(X3,sk_c11)=sk_c10|~inverse(X3)=sk_c11|~multiply(X4,sk_c10)=sk_c9|~inverse(X4)=sk_c10|~inverse(X5)=sk_c11|~multiply(X5,sk_c10)=sk_c11|~multiply(X6,X7)=sk_c10|~inverse(X6)=X7|~multiply(X7,sk_c9)=sk_c10)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f116])).
% 0.14/0.38 fof(f118,definition,(
% 0.14/0.38 sQ0_spl <=> (multiply(sk_c1,sk_c11)=sk_c10)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f119,plain,(
% 0.14/0.38 multiply(sk_c1,sk_c11)=sk_c10|~sQ0_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f118])).
% 0.14/0.38 fof(f121,definition,(
% 0.14/0.38 sQ1_spl <=> (multiply(sk_c4,sk_c11)=sk_c10)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f122,plain,(
% 0.14/0.38 multiply(sk_c4,sk_c11)=sk_c10|~sQ1_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f121])).
% 0.14/0.38 fof(f124,plain,(
% 0.14/0.38 sQ0_spl|sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f62,f118,f121])).
% 0.14/0.38 fof(f125,definition,(
% 0.14/0.38 sQ2_spl <=> (inverse(sk_c4)=sk_c11)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f126,plain,(
% 0.14/0.38 inverse(sk_c4)=sk_c11|~sQ2_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f125])).
% 0.14/0.38 fof(f128,plain,(
% 0.14/0.38 sQ0_spl|sQ2_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f63,f118,f125])).
% 0.14/0.38 fof(f129,definition,(
% 0.14/0.38 sQ3_spl <=> (multiply(sk_c5,sk_c10)=sk_c9)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f130,plain,(
% 0.14/0.38 multiply(sk_c5,sk_c10)=sk_c9|~sQ3_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f129])).
% 0.14/0.38 fof(f132,plain,(
% 0.14/0.38 sQ0_spl|sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f64,f118,f129])).
% 0.14/0.38 fof(f133,definition,(
% 0.14/0.38 sQ4_spl <=> (inverse(sk_c5)=sk_c10)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f134,plain,(
% 0.14/0.38 inverse(sk_c5)=sk_c10|~sQ4_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.38 fof(f136,plain,(
% 0.14/0.38 sQ0_spl|sQ4_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f65,f118,f133])).
% 0.14/0.38 fof(f137,definition,(
% 0.14/0.38 sQ5_spl <=> (inverse(sk_c6)=sk_c11)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f138,plain,(
% 0.14/0.38 inverse(sk_c6)=sk_c11|~sQ5_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f137])).
% 0.14/0.38 fof(f140,plain,(
% 0.14/0.38 sQ0_spl|sQ5_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f66,f118,f137])).
% 0.14/0.38 fof(f141,definition,(
% 0.14/0.38 sQ6_spl <=> (multiply(sk_c6,sk_c10)=sk_c11)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f142,plain,(
% 0.14/0.38 multiply(sk_c6,sk_c10)=sk_c11|~sQ6_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f141])).
% 0.14/0.38 fof(f144,plain,(
% 0.14/0.38 sQ0_spl|sQ6_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f67,f118,f141])).
% 0.14/0.38 fof(f145,definition,(
% 0.14/0.38 sQ7_spl <=> (multiply(sk_c7,sk_c8)=sk_c10)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f146,plain,(
% 0.14/0.38 multiply(sk_c7,sk_c8)=sk_c10|~sQ7_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f145])).
% 0.14/0.38 fof(f148,plain,(
% 0.14/0.38 sQ0_spl|sQ7_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f68,f118,f145])).
% 0.14/0.38 fof(f149,definition,(
% 0.14/0.38 sQ8_spl <=> (inverse(sk_c7)=sk_c8)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f150,plain,(
% 0.14/0.38 inverse(sk_c7)=sk_c8|~sQ8_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f149])).
% 0.14/0.38 fof(f152,plain,(
% 0.14/0.38 sQ0_spl|sQ8_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f69,f118,f149])).
% 0.14/0.38 fof(f153,definition,(
% 0.14/0.38 sQ9_spl <=> (multiply(sk_c8,sk_c9)=sk_c10)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f156,plain,(
% 0.14/0.38 sQ0_spl|sQ9_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f70,f118,f153])).
% 0.14/0.38 fof(f157,definition,(
% 0.14/0.38 sQ10_spl <=> (inverse(sk_c1)=sk_c11)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f158,plain,(
% 0.14/0.38 inverse(sk_c1)=sk_c11|~sQ10_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f157])).
% 0.14/0.38 fof(f160,plain,(
% 0.14/0.38 sQ10_spl|sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f71,f157,f121])).
% 0.14/0.38 fof(f161,plain,(
% 0.14/0.38 sQ10_spl|sQ2_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f72,f157,f125])).
% 0.14/0.38 fof(f162,plain,(
% 0.14/0.38 sQ10_spl|sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f73,f157,f129])).
% 0.14/0.38 fof(f163,plain,(
% 0.14/0.38 sQ10_spl|sQ4_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f74,f157,f133])).
% 0.14/0.38 fof(f164,plain,(
% 0.14/0.38 sQ10_spl|sQ5_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f75,f157,f137])).
% 0.14/0.38 fof(f165,plain,(
% 0.14/0.38 sQ10_spl|sQ6_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f76,f157,f141])).
% 0.14/0.38 fof(f166,plain,(
% 0.14/0.38 sQ10_spl|sQ7_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f77,f157,f145])).
% 0.14/0.38 fof(f167,plain,(
% 0.14/0.38 sQ10_spl|sQ8_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f78,f157,f149])).
% 0.14/0.38 fof(f168,plain,(
% 0.14/0.38 sQ10_spl|sQ9_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f79,f157,f153])).
% 0.14/0.38 fof(f169,definition,(
% 0.14/0.38 sQ11_spl <=> (multiply(sk_c2,sk_c10)=sk_c9)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f170,plain,(
% 0.14/0.38 multiply(sk_c2,sk_c10)=sk_c9|~sQ11_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f169])).
% 0.14/0.38 fof(f172,plain,(
% 0.14/0.38 sQ11_spl|sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f80,f169,f121])).
% 0.14/0.38 fof(f173,plain,(
% 0.14/0.38 sQ11_spl|sQ2_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f81,f169,f125])).
% 0.14/0.38 fof(f174,plain,(
% 0.14/0.38 sQ11_spl|sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f82,f169,f129])).
% 0.14/0.38 fof(f175,plain,(
% 0.14/0.38 sQ11_spl|sQ4_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f83,f169,f133])).
% 0.14/0.38 fof(f176,plain,(
% 0.14/0.38 sQ11_spl|sQ5_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f84,f169,f137])).
% 0.14/0.38 fof(f177,plain,(
% 0.14/0.38 sQ11_spl|sQ6_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f85,f169,f141])).
% 0.14/0.38 fof(f178,plain,(
% 0.14/0.38 sQ11_spl|sQ7_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f86,f169,f145])).
% 0.14/0.38 fof(f179,plain,(
% 0.14/0.38 sQ11_spl|sQ8_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f87,f169,f149])).
% 0.14/0.38 fof(f180,plain,(
% 0.14/0.38 sQ11_spl|sQ9_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f88,f169,f153])).
% 0.14/0.38 fof(f181,definition,(
% 0.14/0.38 sQ12_spl <=> (inverse(sk_c2)=sk_c10)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f182,plain,(
% 0.14/0.38 inverse(sk_c2)=sk_c10|~sQ12_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f181])).
% 0.14/0.38 fof(f184,plain,(
% 0.14/0.38 sQ12_spl|sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f89,f181,f121])).
% 0.14/0.38 fof(f185,plain,(
% 0.14/0.38 sQ12_spl|sQ2_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f90,f181,f125])).
% 0.14/0.38 fof(f186,plain,(
% 0.14/0.38 sQ12_spl|sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f91,f181,f129])).
% 0.14/0.38 fof(f187,plain,(
% 0.14/0.38 sQ12_spl|sQ4_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f92,f181,f133])).
% 0.14/0.38 fof(f188,plain,(
% 0.14/0.38 sQ12_spl|sQ5_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f93,f181,f137])).
% 0.14/0.38 fof(f189,plain,(
% 0.14/0.38 sQ12_spl|sQ6_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f94,f181,f141])).
% 0.14/0.38 fof(f190,plain,(
% 0.14/0.38 sQ12_spl|sQ7_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f95,f181,f145])).
% 0.14/0.38 fof(f191,plain,(
% 0.14/0.38 sQ12_spl|sQ8_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f96,f181,f149])).
% 0.14/0.38 fof(f192,plain,(
% 0.14/0.38 sQ12_spl|sQ9_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f97,f181,f153])).
% 0.14/0.38 fof(f193,definition,(
% 0.14/0.38 sQ13_spl <=> (inverse(sk_c3)=sk_c11)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f194,plain,(
% 0.14/0.38 inverse(sk_c3)=sk_c11|~sQ13_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f193])).
% 0.14/0.38 fof(f196,plain,(
% 0.14/0.38 sQ13_spl|sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f98,f193,f121])).
% 0.14/0.38 fof(f197,plain,(
% 0.14/0.38 sQ13_spl|sQ2_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f99,f193,f125])).
% 0.14/0.38 fof(f198,plain,(
% 0.14/0.38 sQ13_spl|sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f100,f193,f129])).
% 0.14/0.38 fof(f199,plain,(
% 0.14/0.38 sQ13_spl|sQ4_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f101,f193,f133])).
% 0.14/0.38 fof(f200,plain,(
% 0.14/0.38 sQ13_spl|sQ5_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f102,f193,f137])).
% 0.14/0.38 fof(f201,plain,(
% 0.14/0.38 sQ13_spl|sQ6_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f103,f193,f141])).
% 0.14/0.38 fof(f202,plain,(
% 0.14/0.38 sQ13_spl|sQ7_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f104,f193,f145])).
% 0.14/0.38 fof(f203,plain,(
% 0.14/0.38 sQ13_spl|sQ8_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f105,f193,f149])).
% 0.14/0.38 fof(f204,plain,(
% 0.14/0.38 sQ13_spl|sQ9_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f106,f193,f153])).
% 0.14/0.38 fof(f205,definition,(
% 0.14/0.38 sQ14_spl <=> (multiply(sk_c3,sk_c10)=sk_c11)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f206,plain,(
% 0.14/0.38 multiply(sk_c3,sk_c10)=sk_c11|~sQ14_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f205])).
% 0.14/0.38 fof(f208,plain,(
% 0.14/0.38 sQ14_spl|sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f107,f205,f121])).
% 0.14/0.38 fof(f209,plain,(
% 0.14/0.38 sQ14_spl|sQ2_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f108,f205,f125])).
% 0.14/0.38 fof(f210,plain,(
% 0.14/0.38 sQ14_spl|sQ3_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f109,f205,f129])).
% 0.14/0.38 fof(f211,plain,(
% 0.14/0.38 sQ14_spl|sQ4_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f110,f205,f133])).
% 0.14/0.38 fof(f212,plain,(
% 0.14/0.38 sQ14_spl|sQ5_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f111,f205,f137])).
% 0.14/0.38 fof(f213,plain,(
% 0.14/0.38 sQ14_spl|sQ6_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f112,f205,f141])).
% 0.14/0.38 fof(f214,plain,(
% 0.14/0.38 sQ14_spl|sQ7_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f113,f205,f145])).
% 0.14/0.38 fof(f215,plain,(
% 0.14/0.38 sQ14_spl|sQ8_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f114,f205,f149])).
% 0.14/0.38 fof(f216,plain,(
% 0.14/0.38 sQ14_spl|sQ9_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f115,f205,f153])).
% 0.14/0.38 fof(f217,definition,(
% 0.14/0.38 ![X0]: (sQ15_spl <=> (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f218,plain,(
% 0.14/0.38 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~sQ15_spl)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f217])).
% 0.14/0.38 fof(f220,definition,(
% 0.14/0.38 ![X1]: (sQ16_spl <=> (~multiply(X1,sk_c10)=sk_c9|~inverse(X1)=sk_c10))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f221,plain,(
% 0.14/0.38 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ16_spl)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f220])).
% 0.14/0.38 fof(f223,definition,(
% 0.14/0.38 ![X2]: (sQ17_spl <=> (~inverse(X2)=sk_c11|~multiply(X2,sk_c10)=sk_c11))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f224,plain,(
% 0.14/0.38 ![X0]: (~inverse(X0)=sk_c11|~multiply(X0,sk_c10)=sk_c11|~sQ17_spl)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f223])).
% 0.14/0.38 fof(f226,definition,(
% 0.14/0.38 ![X6,X7]: (sQ18_spl <=> (~multiply(X6,X7)=sk_c10|~inverse(X6)=X7|~multiply(X7,sk_c9)=sk_c10))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f227,plain,(
% 0.14/0.38 ![X0,X1]: (~multiply(X0,X1)=sk_c10|~inverse(X0)=X1|~multiply(X1,sk_c9)=sk_c10|~sQ18_spl)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f226])).
% 0.14/0.38 fof(f229,plain,(
% 0.14/0.38 sQ15_spl|sQ16_spl|sQ17_spl|sQ18_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f117,f217,f220,f223,f226])).
% 0.14/0.38 fof(f230,plain,(
% 0.14/0.38 ![X0]: (~multiply(X0,inverse(X0))=sk_c10|~multiply(inverse(X0),sk_c9)=sk_c10|~sQ18_spl)),
% 0.14/0.38 inference(destructive_equality_resolution,[status(thm)],[f227])).
% 0.14/0.38 fof(f242,plain,(
% 0.14/0.38 ~multiply(sk_c4,inverse(sk_c4))=sk_c10|~multiply(sk_c11,sk_c9)=sk_c10|~sQ18_spl|~sQ2_spl),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f126,f230])).
% 0.14/0.38 fof(f243,plain,(
% 0.14/0.38 ~multiply(sk_c5,inverse(sk_c5))=sk_c10|~multiply(sk_c10,sk_c9)=sk_c10|~sQ18_spl|~sQ4_spl),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f134,f230])).
% 0.14/0.38 fof(f245,plain,(
% 0.14/0.38 ~multiply(sk_c7,inverse(sk_c7))=sk_c10|~multiply(sk_c8,sk_c9)=sk_c10|~sQ18_spl|~sQ8_spl),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f150,f230])).
% 0.14/0.38 fof(f246,plain,(
% 0.14/0.38 ~multiply(sk_c1,inverse(sk_c1))=sk_c10|~multiply(sk_c11,sk_c9)=sk_c10|~sQ18_spl|~sQ10_spl),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f158,f230])).
% 0.14/0.38 fof(f247,plain,(
% 0.14/0.38 ~multiply(sk_c2,inverse(sk_c2))=sk_c10|~multiply(sk_c10,sk_c9)=sk_c10|~sQ18_spl|~sQ12_spl),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f182,f230])).
% 0.14/0.38 fof(f248,plain,(
% 0.14/0.38 ~multiply(sk_c3,inverse(sk_c3))=sk_c10|~multiply(sk_c11,sk_c9)=sk_c10|~sQ18_spl|~sQ13_spl),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f194,f230])).
% 0.14/0.38 fof(f249,definition,(
% 0.14/0.38 sQ19_spl <=> (multiply(sk_c4,inverse(sk_c4))=sk_c10)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f251,plain,(
% 0.14/0.38 ~multiply(sk_c4,inverse(sk_c4))=sk_c10|sQ19_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f249])).
% 0.14/0.38 fof(f252,definition,(
% 0.14/0.38 sQ20_spl <=> (multiply(sk_c11,sk_c9)=sk_c10)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f255,plain,(
% 0.14/0.38 ~sQ19_spl|~sQ20_spl|~sQ18_spl|~sQ2_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f242,f249,f252,f226,f125])).
% 0.14/0.38 fof(f256,definition,(
% 0.14/0.38 sQ21_spl <=> (multiply(sk_c5,inverse(sk_c5))=sk_c10)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f259,definition,(
% 0.14/0.38 sQ22_spl <=> (multiply(sk_c10,sk_c9)=sk_c10)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f261,plain,(
% 0.14/0.38 ~multiply(sk_c10,sk_c9)=sk_c10|sQ22_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f259])).
% 0.14/0.38 fof(f262,plain,(
% 0.14/0.38 ~sQ21_spl|~sQ22_spl|~sQ18_spl|~sQ4_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f243,f256,f259,f226,f133])).
% 0.14/0.38 fof(f267,definition,(
% 0.14/0.38 sQ24_spl <=> (multiply(sk_c7,inverse(sk_c7))=sk_c10)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f269,plain,(
% 0.14/0.38 ~multiply(sk_c7,inverse(sk_c7))=sk_c10|sQ24_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f267])).
% 0.14/0.38 fof(f270,plain,(
% 0.14/0.38 ~sQ24_spl|~sQ9_spl|~sQ18_spl|~sQ8_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f245,f267,f153,f226,f149])).
% 0.14/0.38 fof(f271,definition,(
% 0.14/0.38 sQ25_spl <=> (multiply(sk_c1,inverse(sk_c1))=sk_c10)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f273,plain,(
% 0.14/0.38 ~multiply(sk_c1,inverse(sk_c1))=sk_c10|sQ25_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f271])).
% 0.14/0.38 fof(f274,plain,(
% 0.14/0.38 ~sQ25_spl|~sQ20_spl|~sQ18_spl|~sQ10_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f246,f271,f252,f226,f157])).
% 0.14/0.38 fof(f275,definition,(
% 0.14/0.38 sQ26_spl <=> (multiply(sk_c2,inverse(sk_c2))=sk_c10)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f277,plain,(
% 0.14/0.38 ~multiply(sk_c2,inverse(sk_c2))=sk_c10|sQ26_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f275])).
% 0.14/0.38 fof(f278,plain,(
% 0.14/0.38 ~sQ26_spl|~sQ22_spl|~sQ18_spl|~sQ12_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f247,f275,f259,f226,f181])).
% 0.14/0.38 fof(f279,definition,(
% 0.14/0.38 sQ27_spl <=> (multiply(sk_c3,inverse(sk_c3))=sk_c10)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f282,plain,(
% 0.14/0.38 ~sQ27_spl|~sQ20_spl|~sQ18_spl|~sQ13_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f248,f279,f252,f226,f193])).
% 0.14/0.38 fof(f284,plain,(
% 0.14/0.38 ~multiply(sk_c2,sk_c10)=sk_c10|~sQ12_spl|sQ26_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f182,f277])).
% 0.14/0.38 fof(f285,plain,(
% 0.14/0.38 ~sk_c9=sk_c10|~sQ11_spl|~sQ12_spl|sQ26_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f170,f284])).
% 0.14/0.38 fof(f286,plain,(
% 0.14/0.38 ~multiply(sk_c1,sk_c11)=sk_c10|~sQ10_spl|sQ25_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f158,f273])).
% 0.14/0.38 fof(f287,plain,(
% 0.14/0.38 ~sk_c10=sk_c10|~sQ0_spl|~sQ10_spl|sQ25_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f119,f286])).
% 0.14/0.38 fof(f288,plain,(
% 0.14/0.38 $false|~sQ0_spl|~sQ10_spl|sQ25_spl),
% 0.14/0.38 inference(trivial_equality_resolution,[status(thm)],[f287])).
% 0.14/0.38 fof(f289,plain,(
% 0.14/0.38 ~sQ0_spl|~sQ10_spl|sQ25_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f288])).
% 0.14/0.38 fof(f290,plain,(
% 0.14/0.38 ~inverse(sk_c6)=sk_c11|~sQ17_spl|~sQ6_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f224,f142])).
% 0.14/0.38 fof(f291,plain,(
% 0.14/0.38 ~inverse(sk_c3)=sk_c11|~sQ17_spl|~sQ14_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f224,f206])).
% 0.14/0.38 fof(f297,plain,(
% 0.14/0.38 ~sk_c11=sk_c11|~sQ13_spl|~sQ17_spl|~sQ14_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f194,f291])).
% 0.14/0.38 fof(f298,plain,(
% 0.14/0.38 $false|~sQ13_spl|~sQ17_spl|~sQ14_spl),
% 0.14/0.38 inference(trivial_equality_resolution,[status(thm)],[f297])).
% 0.14/0.38 fof(f299,plain,(
% 0.14/0.38 ~sQ13_spl|~sQ17_spl|~sQ14_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f298])).
% 0.14/0.38 fof(f306,plain,(
% 0.14/0.38 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f60,f61])).
% 0.14/0.38 fof(f307,plain,(
% 0.14/0.38 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f59,f306])).
% 0.14/0.38 fof(f314,plain,(
% 0.14/0.38 ~inverse(sk_c5)=sk_c10|~sQ16_spl|~sQ3_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f221,f130])).
% 0.14/0.38 fof(f315,plain,(
% 0.14/0.38 ~inverse(sk_c2)=sk_c10|~sQ16_spl|~sQ11_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f221,f170])).
% 0.14/0.38 fof(f323,plain,(
% 0.14/0.38 ~sk_c10=sk_c10|~sQ4_spl|~sQ16_spl|~sQ3_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f134,f314])).
% 0.14/0.38 fof(f324,plain,(
% 0.14/0.38 $false|~sQ4_spl|~sQ16_spl|~sQ3_spl),
% 0.14/0.38 inference(trivial_equality_resolution,[status(thm)],[f323])).
% 0.14/0.38 fof(f325,plain,(
% 0.14/0.38 ~sQ4_spl|~sQ16_spl|~sQ3_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f324])).
% 0.14/0.38 fof(f326,plain,(
% 0.14/0.38 ~inverse(sk_c1)=sk_c11|~sQ15_spl|~sQ0_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f218,f119])).
% 0.14/0.38 fof(f327,plain,(
% 0.14/0.38 ~inverse(sk_c4)=sk_c11|~sQ15_spl|~sQ1_spl),
% 0.14/0.38 inference(resolution,[status(thm)],[f218,f122])).
% 0.14/0.38 fof(f333,plain,(
% 0.14/0.38 ~sk_c11=sk_c11|~sQ2_spl|~sQ15_spl|~sQ1_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f126,f327])).
% 0.14/0.38 fof(f334,plain,(
% 0.14/0.38 $false|~sQ2_spl|~sQ15_spl|~sQ1_spl),
% 0.14/0.38 inference(trivial_equality_resolution,[status(thm)],[f333])).
% 0.14/0.38 fof(f335,plain,(
% 0.14/0.38 ~sQ2_spl|~sQ15_spl|~sQ1_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f334])).
% 0.14/0.38 fof(f343,definition,(
% 0.14/0.38 sQ30_spl <=> (sk_c11=sk_c11)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f345,plain,(
% 0.14/0.38 ~sk_c11=sk_c11|sQ30_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f343])).
% 0.14/0.38 fof(f352,plain,(
% 0.14/0.38 ~sk_c11=sk_c11|~sQ5_spl|~sQ17_spl|~sQ6_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f138,f290])).
% 0.14/0.38 fof(f353,plain,(
% 0.14/0.38 $false|~sQ5_spl|~sQ17_spl|~sQ6_spl),
% 0.14/0.38 inference(trivial_equality_resolution,[status(thm)],[f352])).
% 0.14/0.38 fof(f354,plain,(
% 0.14/0.38 ~sQ5_spl|~sQ17_spl|~sQ6_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f353])).
% 0.14/0.38 fof(f356,plain,(
% 0.14/0.38 $false|sQ30_spl),
% 0.14/0.38 inference(trivial_equality_resolution,[status(thm)],[f345])).
% 0.14/0.38 fof(f357,plain,(
% 0.14/0.38 sQ30_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f356])).
% 0.14/0.38 fof(f359,plain,(
% 0.14/0.38 ~multiply(sk_c9,inverse(sk_c9))=sk_c10|~identity=sk_c10|~sQ18_spl),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f60,f230])).
% 0.14/0.38 fof(f365,definition,(
% 0.14/0.38 sQ32_spl <=> (multiply(sk_c9,inverse(sk_c9))=sk_c10)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f368,definition,(
% 0.14/0.38 sQ33_spl <=> (identity=sk_c10)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f370,plain,(
% 0.14/0.38 ~identity=sk_c10|sQ33_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f368])).
% 0.14/0.38 fof(f371,plain,(
% 0.14/0.38 ~sQ32_spl|~sQ33_spl|~sQ18_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f359,f365,f368,f226])).
% 0.14/0.38 fof(f388,plain,(
% 0.14/0.38 ~multiply(sk_c7,sk_c8)=sk_c10|~sQ8_spl|sQ24_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f150,f269])).
% 0.14/0.38 fof(f389,plain,(
% 0.14/0.38 ~sk_c10=sk_c10|~sQ7_spl|~sQ8_spl|sQ24_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f146,f388])).
% 0.14/0.38 fof(f390,plain,(
% 0.14/0.38 $false|~sQ7_spl|~sQ8_spl|sQ24_spl),
% 0.14/0.38 inference(trivial_equality_resolution,[status(thm)],[f389])).
% 0.14/0.38 fof(f391,plain,(
% 0.14/0.38 ~sQ7_spl|~sQ8_spl|sQ24_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f390])).
% 0.14/0.38 fof(f392,plain,(
% 0.14/0.38 ~sQ10_spl|~sQ15_spl|~sQ0_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f326,f157,f217,f118])).
% 0.14/0.38 fof(f393,definition,(
% 0.14/0.38 sQ34_spl <=> (sk_c10=sk_c10)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f395,plain,(
% 0.14/0.38 ~sk_c10=sk_c10|sQ34_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f393])).
% 0.14/0.38 fof(f408,plain,(
% 0.14/0.38 $false|sQ34_spl),
% 0.14/0.38 inference(trivial_equality_resolution,[status(thm)],[f395])).
% 0.14/0.38 fof(f409,plain,(
% 0.14/0.38 sQ34_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f408])).
% 0.14/0.38 fof(f427,plain,(
% 0.14/0.38 ~multiply(sk_c4,sk_c11)=sk_c10|~sQ2_spl|sQ19_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f126,f251])).
% 0.14/0.38 fof(f428,plain,(
% 0.14/0.38 ~sk_c10=sk_c10|~sQ1_spl|~sQ2_spl|sQ19_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f122,f427])).
% 0.14/0.38 fof(f429,plain,(
% 0.14/0.38 $false|~sQ1_spl|~sQ2_spl|sQ19_spl),
% 0.14/0.38 inference(trivial_equality_resolution,[status(thm)],[f428])).
% 0.14/0.38 fof(f430,plain,(
% 0.14/0.38 ~sQ1_spl|~sQ2_spl|sQ19_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f429])).
% 0.14/0.38 fof(f439,plain,(
% 0.14/0.38 sk_c11=multiply(inverse(sk_c1),sk_c10)|~sQ0_spl),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f119,f307])).
% 0.14/0.38 fof(f447,plain,(
% 0.14/0.38 sk_c10=multiply(inverse(sk_c2),sk_c9)|~sQ11_spl),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f170,f307])).
% 0.14/0.38 fof(f450,plain,(
% 0.14/0.38 sk_c11=multiply(sk_c11,sk_c10)|~sQ10_spl|~sQ0_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f158,f439])).
% 0.14/0.38 fof(f451,plain,(
% 0.14/0.38 sk_c10=multiply(sk_c10,sk_c9)|~sQ12_spl|~sQ11_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f182,f447])).
% 0.14/0.38 fof(f452,plain,(
% 0.14/0.38 $false|sQ22_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f451,f261])).
% 0.14/0.38 fof(f453,plain,(
% 0.14/0.38 sQ22_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f452])).
% 0.14/0.38 fof(f456,plain,(
% 0.14/0.38 sk_c10=multiply(inverse(sk_c11),sk_c11)|~sQ10_spl|~sQ0_spl),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f450,f307])).
% 0.14/0.38 fof(f458,plain,(
% 0.14/0.38 sk_c10=identity|~sQ10_spl|~sQ0_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f60,f456])).
% 0.14/0.38 fof(f459,plain,(
% 0.14/0.38 $false|sQ33_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f458,f370])).
% 0.14/0.38 fof(f460,plain,(
% 0.14/0.38 sQ33_spl|~sQ10_spl|~sQ0_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f459])).
% 0.14/0.38 fof(f461,plain,(
% 0.14/0.38 ~sk_c10=sk_c10|~sQ12_spl|~sQ16_spl|~sQ11_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f182,f315])).
% 0.14/0.38 fof(f462,plain,(
% 0.14/0.38 $false|~sQ12_spl|~sQ16_spl|~sQ11_spl),
% 0.14/0.38 inference(trivial_equality_resolution,[status(thm)],[f461])).
% 0.14/0.38 fof(f463,plain,(
% 0.14/0.38 ~sQ12_spl|~sQ16_spl|~sQ11_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f462])).
% 0.14/0.38 fof(f468,plain,(
% 0.14/0.38 ![X0]: (multiply(inverse(X0),X0)=sk_c10|~sQ10_spl|~sQ0_spl)),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f458,f60])).
% 0.14/0.38 fof(f469,plain,(
% 0.14/0.38 ![X0]: (multiply(sk_c10,X0)=X0|~sQ10_spl|~sQ0_spl)),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f458,f59])).
% 0.14/0.38 fof(f496,plain,(
% 0.14/0.38 multiply(sk_c10,sk_c2)=sk_c10|~sQ10_spl|~sQ0_spl|~sQ12_spl),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f182,f468])).
% 0.14/0.38 fof(f501,plain,(
% 0.14/0.38 sk_c2=sk_c10|~sQ10_spl|~sQ0_spl|~sQ12_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f469,f496])).
% 0.14/0.38 fof(f511,plain,(
% 0.14/0.38 ![X0]: (multiply(sk_c2,X0)=X0|~sQ12_spl|~sQ10_spl|~sQ0_spl)),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f501,f469])).
% 0.14/0.38 fof(f523,plain,(
% 0.14/0.38 ~sk_c9=sk_c2|~sQ10_spl|~sQ0_spl|~sQ11_spl|~sQ12_spl|sQ26_spl),
% 0.14/0.38 inference(backward_demodulation,[status(thm)],[f501,f285])).
% 0.14/0.38 fof(f552,plain,(
% 0.14/0.38 sk_c2=multiply(sk_c10,sk_c9)|~sQ10_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f501,f451])).
% 0.14/0.38 fof(f553,plain,(
% 0.14/0.38 sk_c2=multiply(sk_c2,sk_c9)|~sQ10_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f501,f552])).
% 0.14/0.38 fof(f554,plain,(
% 0.14/0.38 sk_c2=sk_c9|~sQ10_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f511,f553])).
% 0.14/0.38 fof(f555,plain,(
% 0.14/0.38 $false|sQ26_spl|~sQ10_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f554,f523])).
% 0.14/0.38 fof(f556,plain,(
% 0.14/0.38 sQ26_spl|~sQ10_spl|~sQ0_spl|~sQ12_spl|~sQ11_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f555])).
% 0.14/0.38 fof(f557,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f124,f128,f132,f136,f140,f144,f148,f152,f156,f160,f161,f162,f163,f164,f165,f166,f167,f168,f172,f173,f174,f175,f176,f177,f178,f179,f180,f184,f185,f186,f187,f188,f189,f190,f191,f192,f196,f197,f198,f199,f200,f201,f202,f203,f204,f208,f209,f210,f211,f212,f213,f214,f215,f216,f229,f255,f262,f270,f274,f278,f282,f289,f299,f325,f335,f354,f357,f371,f391,f392,f409,f430,f453,f460,f463,f556])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.044403 seconds
% 0.14/0.41 % CPU time: 0.105862 seconds
% 0.14/0.41 % Total memory used: 23.337 MB
% 0.14/0.41 % Net memory used: 23.323 MB
%------------------------------------------------------------------------------