TSTP Solution File: GRP507-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP507-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 07:00:30 EDT 2024
% Result : Timeout 289.21s 37.85s
% Output : None
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(multiply(X4,inverse(X5)),inverse(X3))))))),X5) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(c_97,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(multiply(X4,inverse(inverse(X5))),inverse(X3))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X6,X7)),multiply(X7,X6))),multiply(inverse(multiply(X8,X9)),multiply(X8,inverse(multiply(X4,inverse(X9))))))),X5),
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_99,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X4,inverse(X3))))))),X5) = sP0_iProver_def(X4,X5),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_97]) ).
cnf(c_101,plain,
sP0_iProver_def(multiply(X0,inverse(X1)),X1) = X0,
inference(demodulation,[status(thm)],[c_49,c_99]) ).
cnf(c_117,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X4,inverse(X3))))))) = sP0_iProver_def(sP0_iProver_def(X4,inverse(X5)),X5),
inference(superposition,[status(thm)],[c_99,c_101]) ).
cnf(c_119,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(X6,inverse(X5))))))),X7)),sP0_iProver_def(X6,inverse(multiply(X8,inverse(X7))))))),X9) = sP0_iProver_def(X8,X9),
inference(superposition,[status(thm)],[c_99,c_99]) ).
cnf(c_121,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(sP0_iProver_def(X2,X3)),sP0_iProver_def(X2,inverse(multiply(X4,inverse(X3))))))),X5) = sP0_iProver_def(X4,X5),
inference(demodulation,[status(thm)],[c_119,c_99]) ).
cnf(c_133,plain,
multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(sP0_iProver_def(multiply(X2,inverse(inverse(multiply(X3,inverse(X4))))),X4)),X2))),X5) = sP0_iProver_def(X3,X5),
inference(superposition,[status(thm)],[c_101,c_121]) ).
cnf(c_185,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X4,inverse(X3))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X5,X6)),multiply(X6,X5))),multiply(inverse(multiply(X7,X8)),multiply(X7,inverse(multiply(X4,inverse(X8))))))),
inference(superposition,[status(thm)],[c_117,c_117]) ).
cnf(c_187,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X4,inverse(X3))))))) = sP1_iProver_def(X4),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_185]) ).
cnf(c_189,plain,
sP0_iProver_def(sP0_iProver_def(X0,inverse(X1)),X1) = sP1_iProver_def(X0),
inference(demodulation,[status(thm)],[c_117,c_187]) ).
cnf(c_192,plain,
multiply(sP1_iProver_def(X0),X1) = sP0_iProver_def(X0,X1),
inference(demodulation,[status(thm)],[c_99,c_187]) ).
cnf(c_199,plain,
sP1_iProver_def(multiply(X0,inverse(inverse(X1)))) = sP0_iProver_def(X0,X1),
inference(superposition,[status(thm)],[c_101,c_189]) ).
cnf(c_203,plain,
sP1_iProver_def(sP0_iProver_def(X0,inverse(inverse(X1)))) = sP0_iProver_def(sP1_iProver_def(X0),X1),
inference(superposition,[status(thm)],[c_189,c_189]) ).
cnf(c_207,plain,
sP0_iProver_def(multiply(X0,inverse(inverse(X1))),X2) = multiply(sP0_iProver_def(X0,X1),X2),
inference(superposition,[status(thm)],[c_199,c_192]) ).
cnf(c_217,plain,
multiply(sP0_iProver_def(X0,X1),inverse(X1)) = X0,
inference(superposition,[status(thm)],[c_207,c_101]) ).
cnf(c_224,plain,
multiply(multiply(sP0_iProver_def(X0,X1),X2),inverse(X2)) = multiply(X0,inverse(inverse(X1))),
inference(superposition,[status(thm)],[c_207,c_217]) ).
cnf(c_257,plain,
multiply(multiply(X0,inverse(X1)),inverse(inverse(X1))) = multiply(multiply(X0,X2),inverse(X2)),
inference(superposition,[status(thm)],[c_101,c_224]) ).
cnf(c_264,plain,
multiply(multiply(X0,X1),inverse(X1)) = sP2_iProver_def(X0),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_257]) ).
cnf(c_266,plain,
multiply(X0,inverse(inverse(X1))) = sP2_iProver_def(sP0_iProver_def(X0,X1)),
inference(demodulation,[status(thm)],[c_224,c_264]) ).
cnf(c_268,plain,
sP0_iProver_def(sP2_iProver_def(sP0_iProver_def(X0,X1)),X2) = multiply(sP0_iProver_def(X0,X1),X2),
inference(demodulation,[status(thm)],[c_207,c_266]) ).
cnf(c_269,plain,
sP1_iProver_def(sP2_iProver_def(sP0_iProver_def(X0,X1))) = sP0_iProver_def(X0,X1),
inference(demodulation,[status(thm)],[c_199,c_266]) ).
cnf(c_271,plain,
multiply(sP0_iProver_def(X0,X1),inverse(X1)) = sP2_iProver_def(sP1_iProver_def(X0)),
inference(superposition,[status(thm)],[c_192,c_264]) ).
cnf(c_273,plain,
multiply(sP2_iProver_def(X0),inverse(inverse(X1))) = sP2_iProver_def(multiply(X0,X1)),
inference(superposition,[status(thm)],[c_264,c_264]) ).
cnf(c_275,plain,
sP0_iProver_def(sP2_iProver_def(X0),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_264,c_101]) ).
cnf(c_276,plain,
sP2_iProver_def(sP1_iProver_def(X0)) = X0,
inference(demodulation,[status(thm)],[c_271,c_217]) ).
cnf(c_277,plain,
sP2_iProver_def(sP0_iProver_def(sP2_iProver_def(X0),X1)) = sP2_iProver_def(multiply(X0,X1)),
inference(demodulation,[status(thm)],[c_273,c_266]) ).
cnf(c_279,plain,
sP0_iProver_def(X0,inverse(inverse(X1))) = sP2_iProver_def(sP0_iProver_def(sP1_iProver_def(X0),X1)),
inference(superposition,[status(thm)],[c_203,c_276]) ).
cnf(c_285,plain,
sP0_iProver_def(multiply(X0,inverse(X1)),X1) = sP1_iProver_def(sP2_iProver_def(X0)),
inference(superposition,[status(thm)],[c_275,c_189]) ).
cnf(c_286,plain,
sP1_iProver_def(sP2_iProver_def(X0)) = X0,
inference(demodulation,[status(thm)],[c_285,c_101]) ).
cnf(c_330,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4))))) = sP1_iProver_def(sP0_iProver_def(X4,X3)),
inference(superposition,[status(thm)],[c_217,c_187]) ).
cnf(c_408,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(sP0_iProver_def(multiply(X2,inverse(inverse(multiply(X3,inverse(X4))))),X4)),X2))) = sP0_iProver_def(sP0_iProver_def(X3,inverse(X5)),X5),
inference(superposition,[status(thm)],[c_133,c_101]) ).
cnf(c_415,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(sP0_iProver_def(X2,multiply(X3,inverse(X4))),X4)),X2))) = sP1_iProver_def(X3),
inference(demodulation,[status(thm)],[c_408,c_189,c_266,c_268]) ).
cnf(c_642,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(sP0_iProver_def(X2,X3),X4)),X2))) = sP1_iProver_def(sP0_iProver_def(X3,X4)),
inference(superposition,[status(thm)],[c_217,c_330]) ).
cnf(c_687,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(sP2_iProver_def(sP0_iProver_def(sP0_iProver_def(X2,X3),X4))),X2))) = sP1_iProver_def(sP0_iProver_def(X3,inverse(inverse(X4)))),
inference(superposition,[status(thm)],[c_266,c_642]) ).
cnf(c_688,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(X2),X2))) = sP1_iProver_def(sP0_iProver_def(X3,inverse(X3))),
inference(superposition,[status(thm)],[c_217,c_642]) ).
cnf(c_705,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(sP2_iProver_def(sP0_iProver_def(sP0_iProver_def(X2,X3),X4))),X2))) = sP0_iProver_def(sP1_iProver_def(X3),X4),
inference(demodulation,[status(thm)],[c_687,c_269,c_279]) ).
cnf(c_763,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(X2),X2))) = inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(X5),X5))),
inference(superposition,[status(thm)],[c_688,c_688]) ).
cnf(c_765,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(X2),X2))) = sP3_iProver_def,
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_763]) ).
cnf(c_771,plain,
sP1_iProver_def(sP0_iProver_def(X0,inverse(X0))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_688,c_765]) ).
cnf(c_778,plain,
sP0_iProver_def(X0,inverse(X0)) = sP2_iProver_def(sP3_iProver_def),
inference(superposition,[status(thm)],[c_771,c_276]) ).
cnf(c_789,plain,
sP0_iProver_def(sP2_iProver_def(sP3_iProver_def),X0) = sP1_iProver_def(X0),
inference(superposition,[status(thm)],[c_778,c_189]) ).
cnf(c_791,plain,
multiply(X0,inverse(sP2_iProver_def(X0))) = sP2_iProver_def(sP3_iProver_def),
inference(superposition,[status(thm)],[c_778,c_275]) ).
cnf(c_792,plain,
multiply(sP3_iProver_def,X0) = sP1_iProver_def(X0),
inference(demodulation,[status(thm)],[c_789,c_275]) ).
cnf(c_804,plain,
sP0_iProver_def(sP1_iProver_def(inverse(X0)),X0) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_792,c_101]) ).
cnf(c_807,plain,
sP1_iProver_def(inverse(inverse(X0))) = sP2_iProver_def(sP0_iProver_def(sP3_iProver_def,X0)),
inference(superposition,[status(thm)],[c_792,c_266]) ).
cnf(c_821,plain,
sP1_iProver_def(sP1_iProver_def(inverse(inverse(X0)))) = sP0_iProver_def(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_804,c_189]) ).
cnf(c_842,plain,
sP1_iProver_def(inverse(sP2_iProver_def(sP3_iProver_def))) = sP2_iProver_def(sP3_iProver_def),
inference(superposition,[status(thm)],[c_791,c_792]) ).
cnf(c_846,plain,
inverse(sP2_iProver_def(sP3_iProver_def)) = sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),
inference(superposition,[status(thm)],[c_842,c_276]) ).
cnf(c_866,plain,
sP1_iProver_def(inverse(inverse(inverse(inverse(X0))))) = sP2_iProver_def(sP2_iProver_def(sP0_iProver_def(sP1_iProver_def(sP3_iProver_def),X0))),
inference(superposition,[status(thm)],[c_279,c_807]) ).
cnf(c_867,plain,
sP1_iProver_def(inverse(inverse(inverse(sP3_iProver_def)))) = sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),
inference(superposition,[status(thm)],[c_778,c_807]) ).
cnf(c_877,plain,
inverse(inverse(inverse(sP3_iProver_def))) = sP2_iProver_def(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def))),
inference(superposition,[status(thm)],[c_867,c_276]) ).
cnf(c_883,plain,
sP1_iProver_def(sP1_iProver_def(inverse(sP2_iProver_def(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)))))) = sP0_iProver_def(sP3_iProver_def,inverse(inverse(sP3_iProver_def))),
inference(superposition,[status(thm)],[c_877,c_821]) ).
cnf(c_895,plain,
multiply(X0,sP2_iProver_def(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)))) = sP2_iProver_def(sP0_iProver_def(X0,inverse(sP3_iProver_def))),
inference(superposition,[status(thm)],[c_877,c_266]) ).
cnf(c_903,plain,
sP1_iProver_def(sP1_iProver_def(inverse(sP2_iProver_def(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)))))) = sP2_iProver_def(sP0_iProver_def(sP1_iProver_def(sP3_iProver_def),sP3_iProver_def)),
inference(demodulation,[status(thm)],[c_883,c_279]) ).
cnf(c_1710,plain,
sP1_iProver_def(inverse(inverse(inverse(inverse(inverse(sP1_iProver_def(sP3_iProver_def))))))) = sP2_iProver_def(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def))),
inference(superposition,[status(thm)],[c_778,c_866]) ).
cnf(c_1743,plain,
inverse(inverse(inverse(inverse(inverse(sP1_iProver_def(sP3_iProver_def)))))) = sP2_iProver_def(sP2_iProver_def(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)))),
inference(superposition,[status(thm)],[c_1710,c_276]) ).
cnf(c_3362,plain,
inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),sP0_iProver_def(X0,X1)))),multiply(inverse(X2),X2))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_217,c_765]) ).
cnf(c_3364,plain,
inverse(multiply(inverse(multiply(inverse(sP2_iProver_def(sP3_iProver_def)),multiply(inverse(sP2_iProver_def(X0)),X0))),multiply(inverse(X1),X1))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_791,c_765]) ).
cnf(c_3365,plain,
inverse(multiply(inverse(multiply(inverse(sP1_iProver_def(X0)),multiply(X0,sP3_iProver_def))),multiply(inverse(X1),X1))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_792,c_765]) ).
cnf(c_3380,plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),sP0_iProver_def(X1,X0))),X1)),multiply(inverse(X2),X2))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_217,c_765]) ).
cnf(c_3383,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,sP3_iProver_def)),sP1_iProver_def(X0))),multiply(inverse(X1),X1))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_792,c_765]) ).
cnf(c_3436,plain,
inverse(multiply(inverse(multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),multiply(inverse(sP2_iProver_def(X0)),X0))),multiply(inverse(X1),X1))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_3364,c_846]) ).
cnf(c_3471,plain,
inverse(multiply(inverse(multiply(inverse(X0),multiply(sP2_iProver_def(X0),sP3_iProver_def))),multiply(inverse(X1),X1))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_286,c_3365]) ).
cnf(c_3478,plain,
inverse(multiply(inverse(multiply(inverse(sP1_iProver_def(sP3_iProver_def)),sP1_iProver_def(sP3_iProver_def))),multiply(inverse(X0),X0))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_792,c_3365]) ).
cnf(c_3505,plain,
sP0_iProver_def(multiply(inverse(multiply(inverse(sP1_iProver_def(X0)),multiply(X0,sP3_iProver_def))),multiply(inverse(X1),X1)),sP3_iProver_def) = sP2_iProver_def(sP3_iProver_def),
inference(superposition,[status(thm)],[c_3365,c_778]) ).
cnf(c_3578,plain,
sP0_iProver_def(multiply(inverse(multiply(inverse(sP1_iProver_def(sP3_iProver_def)),sP1_iProver_def(sP3_iProver_def))),multiply(inverse(X0),X0)),sP3_iProver_def) = sP2_iProver_def(sP3_iProver_def),
inference(superposition,[status(thm)],[c_3478,c_778]) ).
cnf(c_3724,plain,
inverse(multiply(inverse(multiply(inverse(sP0_iProver_def(X0,sP3_iProver_def)),sP1_iProver_def(sP1_iProver_def(X0)))),multiply(inverse(X1),X1))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_192,c_3383]) ).
cnf(c_3740,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,sP3_iProver_def)),sP1_iProver_def(X0))),multiply(sP2_iProver_def(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def))),inverse(inverse(sP3_iProver_def))))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_877,c_3383]) ).
cnf(c_3777,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,sP3_iProver_def)),sP1_iProver_def(X0))),sP2_iProver_def(multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),sP3_iProver_def)))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_3740,c_266,c_277]) ).
cnf(c_3916,plain,
inverse(multiply(inverse(multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),sP3_iProver_def))),multiply(inverse(X0),X0))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_846,c_3471]) ).
cnf(c_4901,plain,
multiply(inverse(multiply(inverse(sP1_iProver_def(sP3_iProver_def)),sP1_iProver_def(sP3_iProver_def))),multiply(inverse(X0),X0)) = multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def)),
inference(superposition,[status(thm)],[c_3578,c_217]) ).
cnf(c_4910,plain,
inverse(multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_3478,c_4901]) ).
cnf(c_4939,plain,
sP0_iProver_def(sP0_iProver_def(X0,sP3_iProver_def),multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def))) = sP1_iProver_def(X0),
inference(superposition,[status(thm)],[c_4910,c_189]) ).
cnf(c_5426,plain,
sP0_iProver_def(X0,multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def))) = sP1_iProver_def(multiply(X0,inverse(sP3_iProver_def))),
inference(superposition,[status(thm)],[c_101,c_4939]) ).
cnf(c_5462,plain,
multiply(X0,multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def))) = sP1_iProver_def(multiply(sP2_iProver_def(X0),inverse(sP3_iProver_def))),
inference(superposition,[status(thm)],[c_5426,c_275]) ).
cnf(c_7497,plain,
inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X0)),sP2_iProver_def(sP3_iProver_def)))),multiply(inverse(X1),X1))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_778,c_3362]) ).
cnf(c_8345,plain,
sP0_iProver_def(multiply(X0,sP3_iProver_def),multiply(inverse(multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),multiply(inverse(sP2_iProver_def(X1)),X1))),multiply(inverse(X2),X2))) = X0,
inference(superposition,[status(thm)],[c_3436,c_101]) ).
cnf(c_8581,plain,
multiply(inverse(multiply(inverse(sP1_iProver_def(X0)),multiply(X0,sP3_iProver_def))),multiply(inverse(X1),X1)) = multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def)),
inference(superposition,[status(thm)],[c_3505,c_217]) ).
cnf(c_11547,plain,
inverse(multiply(inverse(multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),sP3_iProver_def))),multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def)))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_4901,c_3916]) ).
cnf(c_11554,plain,
inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),sP0_iProver_def(X0,X1)))),multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def)))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_4901,c_3362]) ).
cnf(c_11561,plain,
inverse(multiply(inverse(multiply(inverse(sP0_iProver_def(X0,sP3_iProver_def)),sP1_iProver_def(sP1_iProver_def(X0)))),multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def)))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_4901,c_3724]) ).
cnf(c_11565,plain,
inverse(sP1_iProver_def(multiply(sP2_iProver_def(inverse(multiply(inverse(sP0_iProver_def(X0,sP3_iProver_def)),sP1_iProver_def(sP1_iProver_def(X0))))),inverse(sP3_iProver_def)))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_11561,c_5462]) ).
cnf(c_11574,plain,
inverse(sP1_iProver_def(multiply(sP2_iProver_def(inverse(multiply(inverse(X0),multiply(inverse(X1),sP0_iProver_def(X0,X1))))),inverse(sP3_iProver_def)))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_11554,c_5462]) ).
cnf(c_11577,plain,
inverse(sP1_iProver_def(multiply(sP2_iProver_def(inverse(multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),sP3_iProver_def)))),inverse(sP3_iProver_def)))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_11547,c_5462]) ).
cnf(c_12197,plain,
inverse(sP1_iProver_def(multiply(sP2_iProver_def(inverse(multiply(inverse(sP0_iProver_def(sP2_iProver_def(X0),sP3_iProver_def)),sP1_iProver_def(X0)))),inverse(sP3_iProver_def)))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_286,c_11565]) ).
cnf(c_12238,plain,
sP0_iProver_def(multiply(X0,sP3_iProver_def),sP1_iProver_def(multiply(sP2_iProver_def(inverse(multiply(inverse(sP0_iProver_def(X1,sP3_iProver_def)),sP1_iProver_def(sP1_iProver_def(X1))))),inverse(sP3_iProver_def)))) = X0,
inference(superposition,[status(thm)],[c_11565,c_101]) ).
cnf(c_12252,plain,
inverse(sP1_iProver_def(multiply(sP2_iProver_def(inverse(multiply(inverse(multiply(X0,sP3_iProver_def)),sP1_iProver_def(X0)))),inverse(sP3_iProver_def)))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_12197,c_275]) ).
cnf(c_16221,plain,
inverse(multiply(inverse(sP0_iProver_def(X0,multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(sP0_iProver_def(multiply(X3,inverse(inverse(multiply(X0,inverse(X4))))),X4)),X3)))),sP2_iProver_def(sP3_iProver_def)))),multiply(inverse(X5),X5))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_133,c_7497]) ).
cnf(c_16545,plain,
inverse(multiply(inverse(sP0_iProver_def(X0,multiply(inverse(sP1_iProver_def(X0)),sP2_iProver_def(sP3_iProver_def)))),multiply(inverse(X1),X1))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_16221,c_266,c_268,c_415]) ).
cnf(c_16855,plain,
sP0_iProver_def(multiply(X0,sP3_iProver_def),sP1_iProver_def(multiply(sP2_iProver_def(inverse(multiply(inverse(X1),sP1_iProver_def(sP1_iProver_def(multiply(X1,inverse(sP3_iProver_def))))))),inverse(sP3_iProver_def)))) = X0,
inference(superposition,[status(thm)],[c_101,c_12238]) ).
cnf(c_16900,plain,
inverse(multiply(inverse(sP0_iProver_def(sP2_iProver_def(X0),multiply(inverse(X0),sP2_iProver_def(sP3_iProver_def)))),multiply(inverse(X1),X1))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_286,c_16545]) ).
cnf(c_17033,plain,
inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),sP2_iProver_def(sP3_iProver_def)))),multiply(inverse(X1),X1))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_16900,c_275]) ).
cnf(c_17290,plain,
inverse(multiply(inverse(multiply(multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def)),multiply(sP3_iProver_def,sP2_iProver_def(sP3_iProver_def)))),multiply(inverse(X0),X0))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_4910,c_17033]) ).
cnf(c_17318,plain,
inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),sP2_iProver_def(sP3_iProver_def)))),multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def)))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_4901,c_17033]) ).
cnf(c_17438,plain,
inverse(sP1_iProver_def(multiply(sP2_iProver_def(inverse(multiply(X0,multiply(inverse(X0),sP2_iProver_def(sP3_iProver_def))))),inverse(sP3_iProver_def)))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_17318,c_5462]) ).
cnf(c_17440,plain,
inverse(multiply(inverse(multiply(multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def)),sP3_iProver_def)),multiply(inverse(X0),X0))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_17290,c_286,c_792]) ).
cnf(c_17721,plain,
inverse(sP1_iProver_def(multiply(sP2_iProver_def(inverse(multiply(sP1_iProver_def(multiply(sP2_iProver_def(inverse(multiply(inverse(multiply(X0,sP3_iProver_def)),sP1_iProver_def(X0)))),inverse(sP3_iProver_def))),multiply(sP3_iProver_def,sP2_iProver_def(sP3_iProver_def))))),inverse(sP3_iProver_def)))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_12252,c_17438]) ).
cnf(c_17805,plain,
inverse(sP1_iProver_def(multiply(sP2_iProver_def(inverse(sP2_iProver_def(inverse(multiply(inverse(multiply(X0,sP3_iProver_def)),sP1_iProver_def(X0)))))),inverse(sP3_iProver_def)))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_17721,c_101,c_192,c_286,c_792]) ).
cnf(c_17937,plain,
inverse(multiply(inverse(multiply(multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def)),sP3_iProver_def)),multiply(sP3_iProver_def,multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def))))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_4910,c_17440]) ).
cnf(c_18033,plain,
inverse(multiply(inverse(multiply(multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def)),sP3_iProver_def)),sP1_iProver_def(multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def))))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_17937,c_792]) ).
cnf(c_21600,plain,
sP0_iProver_def(multiply(X0,sP3_iProver_def),sP1_iProver_def(multiply(sP2_iProver_def(inverse(multiply(inverse(X1),multiply(inverse(X2),sP0_iProver_def(X1,X2))))),inverse(sP3_iProver_def)))) = X0,
inference(superposition,[status(thm)],[c_11574,c_101]) ).
cnf(c_35698,plain,
inverse(sP1_iProver_def(multiply(sP2_iProver_def(inverse(sP2_iProver_def(sP3_iProver_def))),inverse(sP3_iProver_def)))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_18033,c_17805]) ).
cnf(c_35701,plain,
inverse(multiply(sP3_iProver_def,sP2_iProver_def(multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),sP3_iProver_def)))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_18033,c_3777]) ).
cnf(c_35704,plain,
inverse(multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),sP3_iProver_def)) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_35701,c_286,c_792]) ).
cnf(c_35707,plain,
inverse(sP1_iProver_def(multiply(sP2_iProver_def(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def))),inverse(sP3_iProver_def)))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_35698,c_846]) ).
cnf(c_35832,plain,
sP0_iProver_def(multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),sP3_iProver_def),sP3_iProver_def) = sP2_iProver_def(sP3_iProver_def),
inference(superposition,[status(thm)],[c_35704,c_778]) ).
cnf(c_36332,plain,
multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),sP3_iProver_def) = multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def)),
inference(superposition,[status(thm)],[c_35832,c_217]) ).
cnf(c_36352,plain,
inverse(sP1_iProver_def(multiply(sP2_iProver_def(inverse(multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def))))),inverse(sP3_iProver_def)))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_11577,c_36332]) ).
cnf(c_36355,plain,
inverse(multiply(inverse(multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def)))),multiply(inverse(X0),X0))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_3916,c_36332]) ).
cnf(c_36358,plain,
inverse(sP1_iProver_def(multiply(inverse(X0),X0))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_36355,c_792,c_5462,c_35707]) ).
cnf(c_36359,plain,
inverse(sP1_iProver_def(multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def)))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_36352,c_5462,c_35707]) ).
cnf(c_36364,plain,
inverse(sP1_iProver_def(sP2_iProver_def(sP0_iProver_def(inverse(inverse(inverse(X0))),X0)))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_266,c_36358]) ).
cnf(c_36487,plain,
sP0_iProver_def(sP1_iProver_def(multiply(inverse(X0),X0)),sP3_iProver_def) = sP2_iProver_def(sP3_iProver_def),
inference(superposition,[status(thm)],[c_36358,c_778]) ).
cnf(c_36539,plain,
inverse(sP0_iProver_def(inverse(inverse(inverse(X0))),X0)) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_36364,c_269]) ).
cnf(c_37058,plain,
sP0_iProver_def(multiply(X0,sP3_iProver_def),sP1_iProver_def(multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def)))) = X0,
inference(superposition,[status(thm)],[c_36359,c_101]) ).
cnf(c_37313,plain,
sP0_iProver_def(multiply(X0,sP3_iProver_def),sP0_iProver_def(inverse(inverse(inverse(X1))),X1)) = X0,
inference(superposition,[status(thm)],[c_36539,c_101]) ).
cnf(c_38217,plain,
sP0_iProver_def(sP1_iProver_def(sP2_iProver_def(sP0_iProver_def(inverse(sP2_iProver_def(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)))),inverse(sP3_iProver_def)))),sP3_iProver_def) = sP2_iProver_def(sP3_iProver_def),
inference(superposition,[status(thm)],[c_895,c_36487]) ).
cnf(c_38229,plain,
sP0_iProver_def(sP1_iProver_def(multiply(sP2_iProver_def(sP2_iProver_def(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)))),inverse(inverse(inverse(inverse(sP1_iProver_def(sP3_iProver_def))))))),sP3_iProver_def) = sP2_iProver_def(sP3_iProver_def),
inference(superposition,[status(thm)],[c_1743,c_36487]) ).
cnf(c_38328,plain,
sP1_iProver_def(inverse(sP2_iProver_def(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def))))) = sP2_iProver_def(sP3_iProver_def),
inference(demodulation,[status(thm)],[c_38217,c_189,c_269]) ).
cnf(c_38332,plain,
multiply(multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),sP1_iProver_def(sP3_iProver_def)),sP3_iProver_def) = sP2_iProver_def(sP3_iProver_def),
inference(demodulation,[status(thm)],[c_38229,c_266,c_275,c_277,c_286]) ).
cnf(c_38409,plain,
sP2_iProver_def(sP0_iProver_def(sP1_iProver_def(sP3_iProver_def),sP3_iProver_def)) = sP1_iProver_def(sP2_iProver_def(sP3_iProver_def)),
inference(demodulation,[status(thm)],[c_903,c_38328]) ).
cnf(c_38410,plain,
sP2_iProver_def(sP0_iProver_def(sP1_iProver_def(sP3_iProver_def),sP3_iProver_def)) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_38409,c_286]) ).
cnf(c_38542,plain,
sP0_iProver_def(sP1_iProver_def(sP3_iProver_def),sP3_iProver_def) = sP1_iProver_def(sP3_iProver_def),
inference(superposition,[status(thm)],[c_38410,c_286]) ).
cnf(c_38552,plain,
multiply(sP1_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def)) = sP1_iProver_def(sP3_iProver_def),
inference(superposition,[status(thm)],[c_38542,c_217]) ).
cnf(c_38569,plain,
sP1_iProver_def(sP3_iProver_def) = sP2_iProver_def(sP3_iProver_def),
inference(demodulation,[status(thm)],[c_38552,c_192,c_778]) ).
cnf(c_38650,plain,
inverse(sP1_iProver_def(sP3_iProver_def)) = sP2_iProver_def(sP1_iProver_def(sP3_iProver_def)),
inference(demodulation,[status(thm)],[c_846,c_38569]) ).
cnf(c_38652,plain,
sP0_iProver_def(X0,inverse(X0)) = sP1_iProver_def(sP3_iProver_def),
inference(demodulation,[status(thm)],[c_778,c_38569]) ).
cnf(c_38653,plain,
inverse(sP1_iProver_def(sP3_iProver_def)) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_38650,c_276]) ).
cnf(c_38747,plain,
sP1_iProver_def(sP1_iProver_def(sP3_iProver_def)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_38569,c_286]) ).
cnf(c_38748,plain,
sP0_iProver_def(sP1_iProver_def(sP3_iProver_def),X0) = multiply(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_38569,c_275]) ).
cnf(c_38749,plain,
sP0_iProver_def(sP1_iProver_def(sP3_iProver_def),X0) = sP1_iProver_def(X0),
inference(demodulation,[status(thm)],[c_38748,c_792]) ).
cnf(c_38975,plain,
multiply(X0,inverse(sP1_iProver_def(multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def))))) = multiply(X0,sP3_iProver_def),
inference(superposition,[status(thm)],[c_37058,c_217]) ).
cnf(c_38985,plain,
multiply(X0,inverse(sP3_iProver_def)) = multiply(X0,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_38975,c_192,c_38569,c_38652,c_38747]) ).
cnf(c_39049,plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(sP0_iProver_def(inverse(inverse(inverse(X0))),X0)),X1)),multiply(X1,sP3_iProver_def))),multiply(inverse(X2),X2))) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_37313,c_3380]) ).
cnf(c_39053,plain,
inverse(sP0_iProver_def(sP3_iProver_def,sP3_iProver_def)) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_39049,c_192,c_792,c_8581,c_36539,c_38569,c_38985]) ).
cnf(c_39085,plain,
sP0_iProver_def(sP1_iProver_def(sP3_iProver_def),sP0_iProver_def(sP3_iProver_def,sP3_iProver_def)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_39053,c_804]) ).
cnf(c_39117,plain,
sP1_iProver_def(sP0_iProver_def(sP3_iProver_def,sP3_iProver_def)) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_39085,c_38749]) ).
cnf(c_39153,plain,
sP0_iProver_def(sP3_iProver_def,sP3_iProver_def) = sP2_iProver_def(sP3_iProver_def),
inference(superposition,[status(thm)],[c_39117,c_276]) ).
cnf(c_39160,plain,
sP0_iProver_def(sP3_iProver_def,sP3_iProver_def) = sP1_iProver_def(sP3_iProver_def),
inference(demodulation,[status(thm)],[c_39153,c_38569]) ).
cnf(c_39166,plain,
multiply(sP1_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_39160,c_217]) ).
cnf(c_39176,plain,
sP1_iProver_def(sP3_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_39166,c_192,c_38652]) ).
cnf(c_39177,plain,
sP0_iProver_def(sP3_iProver_def,sP3_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_39160,c_39176]) ).
cnf(c_39180,plain,
inverse(sP3_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_38653,c_39176]) ).
cnf(c_39196,plain,
multiply(sP3_iProver_def,X0) = sP0_iProver_def(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_39176,c_192]) ).
cnf(c_39200,plain,
sP0_iProver_def(sP3_iProver_def,X0) = sP1_iProver_def(X0),
inference(demodulation,[status(thm)],[c_39196,c_792]) ).
cnf(c_39205,plain,
sP1_iProver_def(inverse(inverse(X0))) = sP2_iProver_def(sP1_iProver_def(X0)),
inference(demodulation,[status(thm)],[c_807,c_39200]) ).
cnf(c_39206,plain,
sP1_iProver_def(inverse(inverse(X0))) = X0,
inference(demodulation,[status(thm)],[c_39205,c_276]) ).
cnf(c_39232,plain,
sP2_iProver_def(sP0_iProver_def(X0,sP3_iProver_def)) = multiply(X0,sP3_iProver_def),
inference(superposition,[status(thm)],[c_39180,c_266]) ).
cnf(c_39236,plain,
sP0_iProver_def(multiply(X0,sP3_iProver_def),sP3_iProver_def) = X0,
inference(superposition,[status(thm)],[c_39180,c_101]) ).
cnf(c_39314,plain,
inverse(inverse(X0)) = sP2_iProver_def(X0),
inference(superposition,[status(thm)],[c_39206,c_276]) ).
cnf(c_39326,plain,
multiply(X0,sP2_iProver_def(X1)) = sP2_iProver_def(sP0_iProver_def(X0,X1)),
inference(demodulation,[status(thm)],[c_266,c_39314]) ).
cnf(c_39348,plain,
sP2_iProver_def(sP1_iProver_def(multiply(inverse(X0),X0))) = inverse(sP3_iProver_def),
inference(superposition,[status(thm)],[c_36358,c_39314]) ).
cnf(c_39351,plain,
inverse(sP2_iProver_def(X0)) = sP2_iProver_def(inverse(X0)),
inference(superposition,[status(thm)],[c_39314,c_39314]) ).
cnf(c_39383,plain,
multiply(inverse(X0),X0) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_39348,c_276,c_39180]) ).
cnf(c_39451,plain,
multiply(sP2_iProver_def(X0),inverse(X0)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_39314,c_39383]) ).
cnf(c_39457,plain,
multiply(sP3_iProver_def,inverse(X0)) = sP2_iProver_def(inverse(X0)),
inference(superposition,[status(thm)],[c_39383,c_264]) ).
cnf(c_39470,plain,
inverse(inverse(X0)) = sP0_iProver_def(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_39383,c_101]) ).
cnf(c_39491,plain,
sP1_iProver_def(X0) = sP2_iProver_def(X0),
inference(demodulation,[status(thm)],[c_39470,c_39200,c_39314]) ).
cnf(c_39492,plain,
sP1_iProver_def(inverse(X0)) = sP2_iProver_def(inverse(X0)),
inference(demodulation,[status(thm)],[c_39457,c_792]) ).
cnf(c_39514,plain,
inverse(inverse(X0)) = sP1_iProver_def(X0),
inference(demodulation,[status(thm)],[c_39314,c_39491]) ).
cnf(c_39516,plain,
sP0_iProver_def(sP1_iProver_def(X0),X1) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_275,c_39491]) ).
cnf(c_39517,plain,
multiply(multiply(X0,X1),inverse(X1)) = sP1_iProver_def(X0),
inference(demodulation,[status(thm)],[c_264,c_39491]) ).
cnf(c_39518,plain,
sP1_iProver_def(sP1_iProver_def(X0)) = X0,
inference(demodulation,[status(thm)],[c_276,c_39491]) ).
cnf(c_39561,plain,
inverse(sP1_iProver_def(X0)) = sP1_iProver_def(inverse(X0)),
inference(superposition,[status(thm)],[c_39514,c_39514]) ).
cnf(c_39575,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(sP1_iProver_def(sP3_iProver_def),X2)),X3))) = sP1_iProver_def(sP0_iProver_def(inverse(X3),X2)),
inference(superposition,[status(thm)],[c_38652,c_642]) ).
cnf(c_39582,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),sP0_iProver_def(inverse(X2),X3))) = sP1_iProver_def(sP0_iProver_def(inverse(X3),X2)),
inference(demodulation,[status(thm)],[c_39575,c_192,c_39200,c_39561]) ).
cnf(c_39971,plain,
sP1_iProver_def(sP0_iProver_def(X0,sP3_iProver_def)) = multiply(X0,sP3_iProver_def),
inference(superposition,[status(thm)],[c_39232,c_39491]) ).
cnf(c_40453,plain,
multiply(X0,sP1_iProver_def(X1)) = sP2_iProver_def(sP0_iProver_def(X0,X1)),
inference(superposition,[status(thm)],[c_39491,c_39326]) ).
cnf(c_40470,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(sP2_iProver_def(sP0_iProver_def(sP0_iProver_def(X2,X3),X4))),X2))) = sP1_iProver_def(sP0_iProver_def(X3,sP2_iProver_def(X4))),
inference(superposition,[status(thm)],[c_39326,c_642]) ).
cnf(c_40481,plain,
multiply(X0,sP1_iProver_def(X1)) = sP1_iProver_def(sP0_iProver_def(X0,X1)),
inference(demodulation,[status(thm)],[c_40453,c_39491]) ).
cnf(c_40484,plain,
sP1_iProver_def(sP0_iProver_def(X0,sP1_iProver_def(X1))) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_40470,c_705,c_39491,c_39516]) ).
cnf(c_40581,plain,
multiply(sP1_iProver_def(X0),inverse(inverse(X1))) = sP1_iProver_def(multiply(X0,X1)),
inference(superposition,[status(thm)],[c_39517,c_39517]) ).
cnf(c_40589,plain,
sP0_iProver_def(X0,sP1_iProver_def(X1)) = sP1_iProver_def(multiply(X0,X1)),
inference(demodulation,[status(thm)],[c_40581,c_192,c_39514]) ).
cnf(c_40801,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(sP1_iProver_def(sP0_iProver_def(sP0_iProver_def(X2,X3),X4))),X2))) = sP1_iProver_def(sP0_iProver_def(X3,sP1_iProver_def(X4))),
inference(superposition,[status(thm)],[c_40481,c_642]) ).
cnf(c_40809,plain,
sP1_iProver_def(sP0_iProver_def(inverse(X0),sP0_iProver_def(sP0_iProver_def(X0,X1),X2))) = multiply(X1,X2),
inference(demodulation,[status(thm)],[c_40801,c_192,c_39561,c_39582,c_40484]) ).
cnf(c_40901,plain,
sP0_iProver_def(sP3_iProver_def,multiply(inverse(multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),multiply(inverse(sP2_iProver_def(X0)),X0))),multiply(inverse(X1),X1))) = inverse(sP3_iProver_def),
inference(superposition,[status(thm)],[c_39383,c_8345]) ).
cnf(c_40934,plain,
multiply(inverse(sP0_iProver_def(inverse(X0),X0)),sP3_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_40901,c_192,c_792,c_39176,c_39180,c_39200,c_39351,c_39383,c_39491,c_39492,c_39561,c_39971]) ).
cnf(c_40993,plain,
inverse(sP0_iProver_def(inverse(X0),X0)) = sP0_iProver_def(sP3_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_40934,c_39236]) ).
cnf(c_40994,plain,
inverse(sP0_iProver_def(inverse(X0),X0)) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_40993,c_39177]) ).
cnf(c_41021,plain,
multiply(sP3_iProver_def,sP0_iProver_def(inverse(X0),X0)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_40994,c_39383]) ).
cnf(c_41029,plain,
sP1_iProver_def(sP0_iProver_def(inverse(X0),X0)) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_41021,c_792]) ).
cnf(c_41138,plain,
sP0_iProver_def(inverse(X0),X0) = sP1_iProver_def(sP3_iProver_def),
inference(superposition,[status(thm)],[c_41029,c_39518]) ).
cnf(c_41144,plain,
sP0_iProver_def(inverse(X0),X0) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_41138,c_39176]) ).
cnf(c_41166,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(sP3_iProver_def,X2)),inverse(X3)))) = sP1_iProver_def(sP0_iProver_def(X3,X2)),
inference(superposition,[status(thm)],[c_41144,c_642]) ).
cnf(c_41167,plain,
sP1_iProver_def(inverse(inverse(X0))) = sP0_iProver_def(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_41144,c_189]) ).
cnf(c_41176,plain,
sP1_iProver_def(X0) = X0,
inference(demodulation,[status(thm)],[c_41167,c_39200,c_39514,c_39518]) ).
cnf(c_41177,plain,
sP1_iProver_def(multiply(X0,X1)) = sP1_iProver_def(sP0_iProver_def(X0,X1)),
inference(demodulation,[status(thm)],[c_41166,c_192,c_792,c_39514,c_39516,c_39561,c_39582]) ).
cnf(c_41184,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_39514,c_41176]) ).
cnf(c_41186,plain,
sP2_iProver_def(X0) = X0,
inference(demodulation,[status(thm)],[c_39491,c_41176]) ).
cnf(c_41187,plain,
sP0_iProver_def(sP3_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_39200,c_41176]) ).
cnf(c_41191,plain,
sP1_iProver_def(multiply(X0,X1)) = sP0_iProver_def(X0,X1),
inference(demodulation,[status(thm)],[c_40589,c_41176]) ).
cnf(c_41192,plain,
sP1_iProver_def(sP0_iProver_def(X0,X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_40481,c_41176]) ).
cnf(c_41205,plain,
multiply(X0,sP3_iProver_def) = sP0_iProver_def(X0,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_39971,c_41176]) ).
cnf(c_41216,plain,
sP0_iProver_def(sP0_iProver_def(X0,sP3_iProver_def),sP3_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_39236,c_41205]) ).
cnf(c_41225,plain,
sP1_iProver_def(multiply(X0,X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_41177,c_41192]) ).
cnf(c_41226,plain,
multiply(X0,X1) = sP0_iProver_def(X0,X1),
inference(demodulation,[status(thm)],[c_41225,c_41191]) ).
cnf(c_41239,plain,
multiply(sP0_iProver_def(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(demodulation,[status(thm)],[c_50,c_41226]) ).
cnf(c_41241,plain,
sP0_iProver_def(sP0_iProver_def(X0,X1),inverse(X1)) = X0,
inference(demodulation,[status(thm)],[c_217,c_41226]) ).
cnf(c_41279,plain,
multiply(a3,multiply(b3,c3)) != sP0_iProver_def(sP0_iProver_def(a3,b3),c3),
inference(superposition,[status(thm)],[c_41226,c_41239]) ).
cnf(c_41280,plain,
sP0_iProver_def(sP0_iProver_def(a3,b3),c3) != sP0_iProver_def(a3,sP0_iProver_def(b3,c3)),
inference(demodulation,[status(thm)],[c_41279,c_41226]) ).
cnf(c_41369,plain,
sP0_iProver_def(multiply(sP2_iProver_def(sP3_iProver_def),inverse(sP3_iProver_def)),sP1_iProver_def(multiply(sP2_iProver_def(inverse(multiply(inverse(X0),sP1_iProver_def(sP1_iProver_def(multiply(X0,inverse(sP3_iProver_def))))))),inverse(sP3_iProver_def)))) = sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),
inference(superposition,[status(thm)],[c_36332,c_16855]) ).
cnf(c_41370,plain,
sP0_iProver_def(inverse(sP0_iProver_def(inverse(X0),sP0_iProver_def(X0,sP3_iProver_def))),sP3_iProver_def) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_41369,c_38985,c_39451,c_39492,c_41176,c_41226,c_41186,c_41187]) ).
cnf(c_41575,plain,
inverse(sP0_iProver_def(inverse(X0),sP0_iProver_def(X0,sP3_iProver_def))) = sP0_iProver_def(sP3_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_41370,c_41216]) ).
cnf(c_41576,plain,
inverse(sP0_iProver_def(inverse(X0),sP0_iProver_def(X0,sP3_iProver_def))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_41575,c_41187]) ).
cnf(c_41597,plain,
sP0_iProver_def(inverse(X0),sP0_iProver_def(X0,sP3_iProver_def)) = inverse(sP3_iProver_def),
inference(superposition,[status(thm)],[c_41576,c_41184]) ).
cnf(c_41604,plain,
sP0_iProver_def(inverse(X0),sP0_iProver_def(X0,sP3_iProver_def)) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_41597,c_39180]) ).
cnf(c_41622,plain,
sP0_iProver_def(sP3_iProver_def,inverse(sP0_iProver_def(X0,sP3_iProver_def))) = inverse(X0),
inference(superposition,[status(thm)],[c_41604,c_41241]) ).
cnf(c_41623,plain,
inverse(sP0_iProver_def(X0,sP3_iProver_def)) = inverse(X0),
inference(demodulation,[status(thm)],[c_41622,c_41187]) ).
cnf(c_41634,plain,
inverse(inverse(X0)) = sP0_iProver_def(X0,sP3_iProver_def),
inference(superposition,[status(thm)],[c_41623,c_41184]) ).
cnf(c_41641,plain,
sP0_iProver_def(X0,sP3_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_41634,c_41184]) ).
cnf(c_41681,plain,
sP0_iProver_def(sP2_iProver_def(sP3_iProver_def),sP1_iProver_def(multiply(sP2_iProver_def(inverse(multiply(inverse(X0),multiply(inverse(X1),sP0_iProver_def(X0,X1))))),inverse(sP3_iProver_def)))) = multiply(sP2_iProver_def(sP2_iProver_def(sP3_iProver_def)),sP1_iProver_def(sP3_iProver_def)),
inference(superposition,[status(thm)],[c_38332,c_21600]) ).
cnf(c_41731,plain,
inverse(sP0_iProver_def(inverse(X0),sP0_iProver_def(inverse(X1),sP0_iProver_def(X0,X1)))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_41681,c_38985,c_39492,c_41176,c_41226,c_41186,c_41187,c_41641]) ).
cnf(c_42664,plain,
sP0_iProver_def(inverse(X0),sP0_iProver_def(inverse(X1),sP0_iProver_def(X0,X1))) = inverse(sP3_iProver_def),
inference(superposition,[status(thm)],[c_41731,c_41184]) ).
cnf(c_42676,plain,
sP0_iProver_def(inverse(X0),sP0_iProver_def(inverse(X1),sP0_iProver_def(X0,X1))) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_42664,c_39180]) ).
cnf(c_42747,plain,
sP0_iProver_def(sP3_iProver_def,inverse(sP0_iProver_def(inverse(X0),sP0_iProver_def(X1,X0)))) = inverse(X1),
inference(superposition,[status(thm)],[c_42676,c_41241]) ).
cnf(c_42751,plain,
inverse(sP0_iProver_def(inverse(X0),sP0_iProver_def(X1,X0))) = inverse(X1),
inference(demodulation,[status(thm)],[c_42747,c_41187]) ).
cnf(c_42821,plain,
sP0_iProver_def(inverse(X0),sP0_iProver_def(X1,X0)) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_42751,c_41184]) ).
cnf(c_42833,plain,
sP0_iProver_def(inverse(X0),sP0_iProver_def(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_42821,c_41184]) ).
cnf(c_42844,plain,
sP0_iProver_def(X0,sP0_iProver_def(X1,inverse(X0))) = X1,
inference(superposition,[status(thm)],[c_41184,c_42833]) ).
cnf(c_42881,plain,
sP0_iProver_def(inverse(inverse(X0)),X1) = sP0_iProver_def(X1,X0),
inference(superposition,[status(thm)],[c_41241,c_42833]) ).
cnf(c_42888,plain,
sP0_iProver_def(X0,X1) = sP0_iProver_def(X1,X0),
inference(demodulation,[status(thm)],[c_42881,c_41184]) ).
cnf(c_42903,plain,
sP0_iProver_def(a3,sP0_iProver_def(b3,c3)) != sP0_iProver_def(c3,sP0_iProver_def(a3,b3)),
inference(demodulation,[status(thm)],[c_41280,c_42888]) ).
cnf(c_43027,plain,
sP0_iProver_def(X0,sP0_iProver_def(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_42888,c_42844]) ).
cnf(c_43998,plain,
sP0_iProver_def(inverse(X0),sP0_iProver_def(sP0_iProver_def(X0,X1),X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_40809,c_41176]) ).
cnf(c_44001,plain,
sP0_iProver_def(inverse(X0),sP0_iProver_def(sP0_iProver_def(X0,X1),X2)) = sP0_iProver_def(X1,X2),
inference(demodulation,[status(thm)],[c_43998,c_41226]) ).
cnf(c_44126,plain,
sP0_iProver_def(sP0_iProver_def(X0,X1),X2) = sP0_iProver_def(X0,sP0_iProver_def(X1,X2)),
inference(superposition,[status(thm)],[c_44001,c_43027]) ).
cnf(c_44183,plain,
sP0_iProver_def(X0,sP0_iProver_def(X1,X2)) = sP0_iProver_def(X1,sP0_iProver_def(X2,X0)),
inference(superposition,[status(thm)],[c_44126,c_42888]) ).
cnf(c_44202,plain,
sP0_iProver_def(a3,sP0_iProver_def(b3,c3)) != sP0_iProver_def(a3,sP0_iProver_def(b3,c3)),
inference(demodulation,[status(thm)],[c_42903,c_44183]) ).
cnf(c_44205,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_44202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15 % Problem : GRP507-1 : TPTP v8.2.0. Released v2.6.0.
% 0.04/0.15 % Command : run_iprover %s %d THM
% 0.14/0.37 % Computer : n029.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Thu Jun 20 08:08:54 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.36/0.53 Running UEQ theorem proving
% 0.36/0.53 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 289.21/37.85 % SZS status Started for theBenchmark.p
% 289.21/37.85 % SZS status Unsatisfiable for theBenchmark.p
% 289.21/37.85
% 289.21/37.85 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 289.21/37.85
% 289.21/37.85 ------ iProver source info
% 289.21/37.85
% 289.21/37.85 git: date: 2024-06-12 09:56:46 +0000
% 289.21/37.85 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 289.21/37.85 git: non_committed_changes: false
% 289.21/37.85
% 289.21/37.85 ------ Parsing...successful
% 289.21/37.85
% 289.21/37.85
% 289.21/37.85
% 289.21/37.85 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 289.21/37.85
% 289.21/37.85 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 289.21/37.85
% 289.21/37.85 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 289.21/37.85 ------ Proving...
% 289.21/37.85 ------ Problem Properties
% 289.21/37.85
% 289.21/37.85
% 289.21/37.85 clauses 2
% 289.21/37.85 conjectures 1
% 289.21/37.85 EPR 0
% 289.21/37.85 Horn 2
% 289.21/37.85 unary 2
% 289.21/37.85 binary 0
% 289.21/37.85 lits 2
% 289.21/37.85 lits eq 2
% 289.21/37.85 fd_pure 0
% 289.21/37.85 fd_pseudo 0
% 289.21/37.85 fd_cond 0
% 289.21/37.85 fd_pseudo_cond 0
% 289.21/37.85 AC symbols 0
% 289.21/37.85
% 289.21/37.85 ------ Input Options Time Limit: Unbounded
% 289.21/37.85
% 289.21/37.85
% 289.21/37.85 ------
% 289.21/37.85 Current options:
% 289.21/37.85 ------
% 289.21/37.85
% 289.21/37.85
% 289.21/37.85
% 289.21/37.85
% 289.21/37.85 ------ Proving...
% 289.21/37.85
% 289.21/37.85
% 289.21/37.85 % SZS status Unsatisfiable for theBenchmark.p
% 289.21/37.85
% 289.21/37.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 289.21/37.85
% 289.21/37.86
%------------------------------------------------------------------------------