TSTP Solution File: GRP413-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP413-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 : Fri May 3 02:22:31 EDT 2024
% Result : Unsatisfiable 8.00s 1.60s
% Output : CNFRefutation 8.00s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_60,plain,
inverse(b2) = sP0_iProver_def,
definition ).
cnf(c_61,plain,
multiply(sP0_iProver_def,b2) = sP1_iProver_def,
definition ).
cnf(c_62,plain,
multiply(sP1_iProver_def,a2) = sP2_iProver_def,
definition ).
cnf(c_63,negated_conjecture,
sP2_iProver_def != a2,
inference(demodulation,[status(thm)],[c_50,c_60,c_61,c_62]) ).
cnf(c_102,plain,
multiply(X0,inverse(multiply(multiply(multiply(sP0_iProver_def,b2),inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),X1))),b2))) = X1,
inference(superposition,[status(thm)],[c_60,c_49]) ).
cnf(c_103,plain,
multiply(X0,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)),inverse(multiply(inverse(X2),X3))),multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)))) = X3,
inference(superposition,[status(thm)],[c_49,c_49]) ).
cnf(c_105,plain,
multiply(X0,inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),X1))),b2))) = X1,
inference(light_normalisation,[status(thm)],[c_102,c_61]) ).
cnf(c_112,plain,
multiply(X0,inverse(multiply(multiply(multiply(inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),X1))),b2)),multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),X1))),b2)),inverse(multiply(inverse(X1),X2))),multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),X1))),b2)))) = X2,
inference(superposition,[status(thm)],[c_105,c_49]) ).
cnf(c_113,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),sP0_iProver_def)),X2))),b2)) = multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))),
inference(superposition,[status(thm)],[c_105,c_49]) ).
cnf(c_114,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),sP0_iProver_def)),X1))),b2)) = multiply(X0,inverse(multiply(multiply(sP1_iProver_def,inverse(X1)),b2))),
inference(superposition,[status(thm)],[c_105,c_105]) ).
cnf(c_122,plain,
multiply(inverse(multiply(X0,sP0_iProver_def)),multiply(X0,inverse(multiply(multiply(sP1_iProver_def,inverse(X1)),b2)))) = X1,
inference(superposition,[status(thm)],[c_114,c_105]) ).
cnf(c_128,plain,
multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(sP1_iProver_def,inverse(X0))),X1))),X0) = multiply(inverse(multiply(X2,sP0_iProver_def)),multiply(X2,inverse(multiply(X1,b2)))),
inference(superposition,[status(thm)],[c_49,c_122]) ).
cnf(c_130,plain,
multiply(inverse(multiply(X0,sP0_iProver_def)),multiply(X0,inverse(multiply(multiply(sP1_iProver_def,sP0_iProver_def),b2)))) = b2,
inference(superposition,[status(thm)],[c_60,c_122]) ).
cnf(c_142,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(inverse(X0),sP0_iProver_def)),multiply(inverse(X0),X1)))),b2)) = X1,
inference(demodulation,[status(thm)],[c_103,c_49,c_113]) ).
cnf(c_154,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),multiply(X0,X1)))),b2)) = X1,
inference(superposition,[status(thm)],[c_142,c_142]) ).
cnf(c_181,plain,
multiply(multiply(multiply(inverse(inverse(X0)),inverse(X0)),inverse(multiply(inverse(multiply(sP1_iProver_def,inverse(inverse(X0)))),X1))),inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X2,sP0_iProver_def)),multiply(X2,inverse(multiply(X1,b2))))),X3))),X0))) = X3,
inference(superposition,[status(thm)],[c_128,c_49]) ).
cnf(c_182,plain,
multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),multiply(X0,inverse(multiply(X1,b2)))))) = X1,
inference(superposition,[status(thm)],[c_128,c_49]) ).
cnf(c_187,plain,
multiply(inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(sP1_iProver_def,inverse(X0)),b2))),inverse(multiply(multiply(sP1_iProver_def,inverse(X0)),b2))),inverse(multiply(inverse(multiply(sP1_iProver_def,inverse(inverse(multiply(multiply(sP1_iProver_def,inverse(X0)),b2))))),X1))),sP0_iProver_def)),multiply(inverse(multiply(X2,sP0_iProver_def)),multiply(X2,inverse(multiply(X1,b2))))) = X0,
inference(superposition,[status(thm)],[c_128,c_122]) ).
cnf(c_195,plain,
multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(sP1_iProver_def,inverse(X0))),multiply(sP1_iProver_def,inverse(X1))))),X0) = X1,
inference(superposition,[status(thm)],[c_128,c_122]) ).
cnf(c_197,plain,
multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(sP1_iProver_def,inverse(X0))),multiply(sP1_iProver_def,sP0_iProver_def)))),X0) = b2,
inference(superposition,[status(thm)],[c_128,c_130]) ).
cnf(c_286,plain,
multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),multiply(X0,inverse(sP1_iProver_def))))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_61,c_182]) ).
cnf(c_350,plain,
inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),X2))),X0)) = inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(X1,sP0_iProver_def)),X2))),b2)),
inference(superposition,[status(thm)],[c_49,c_154]) ).
cnf(c_352,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(sP1_iProver_def,sP0_iProver_def)),sP2_iProver_def))),b2)) = a2,
inference(superposition,[status(thm)],[c_62,c_154]) ).
cnf(c_363,plain,
multiply(inverse(multiply(X0,sP0_iProver_def)),multiply(X0,X1)) = multiply(inverse(multiply(X2,sP0_iProver_def)),multiply(X2,X1)),
inference(superposition,[status(thm)],[c_154,c_122]) ).
cnf(c_722,plain,
multiply(multiply(multiply(sP0_iProver_def,b2),inverse(multiply(inverse(multiply(sP1_iProver_def,sP0_iProver_def)),multiply(sP1_iProver_def,sP0_iProver_def)))),b2) = b2,
inference(superposition,[status(thm)],[c_60,c_197]) ).
cnf(c_752,plain,
multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(sP1_iProver_def,sP0_iProver_def)),multiply(sP1_iProver_def,sP0_iProver_def)))),b2) = b2,
inference(light_normalisation,[status(thm)],[c_722,c_61]) ).
cnf(c_888,plain,
multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),multiply(X0,sP0_iProver_def)))),b2) = b2,
inference(superposition,[status(thm)],[c_363,c_752]) ).
cnf(c_970,plain,
multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(b2),b2))),b2) = b2,
inference(superposition,[status(thm)],[c_197,c_888]) ).
cnf(c_982,plain,
multiply(multiply(sP1_iProver_def,inverse(sP1_iProver_def)),b2) = b2,
inference(light_normalisation,[status(thm)],[c_970,c_60,c_61]) ).
cnf(c_1002,plain,
multiply(inverse(multiply(X0,sP0_iProver_def)),multiply(X0,inverse(b2))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_982,c_122]) ).
cnf(c_1009,plain,
multiply(inverse(multiply(X0,sP0_iProver_def)),multiply(X0,sP0_iProver_def)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_1002,c_60]) ).
cnf(c_1826,plain,
multiply(inverse(X0),X0) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_195,c_1009]) ).
cnf(c_2041,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(sP1_iProver_def),multiply(inverse(sP0_iProver_def),X0)))),b2)) = X0,
inference(superposition,[status(thm)],[c_1826,c_154]) ).
cnf(c_2043,plain,
multiply(sP1_iProver_def,inverse(multiply(inverse(sP1_iProver_def),multiply(inverse(sP0_iProver_def),inverse(multiply(X0,b2)))))) = X0,
inference(superposition,[status(thm)],[c_1826,c_182]) ).
cnf(c_2045,plain,
multiply(inverse(sP1_iProver_def),multiply(inverse(sP0_iProver_def),inverse(multiply(multiply(sP1_iProver_def,inverse(X0)),b2)))) = X0,
inference(superposition,[status(thm)],[c_1826,c_122]) ).
cnf(c_2046,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP0_iProver_def)),X0))),b2)) = multiply(inverse(sP0_iProver_def),inverse(multiply(multiply(sP1_iProver_def,inverse(X0)),b2))),
inference(superposition,[status(thm)],[c_1826,c_114]) ).
cnf(c_2047,plain,
multiply(inverse(sP0_iProver_def),inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(sP1_iProver_def),X0))),b2))) = X0,
inference(superposition,[status(thm)],[c_1826,c_105]) ).
cnf(c_2051,plain,
multiply(inverse(multiply(X0,sP0_iProver_def)),multiply(X0,X1)) = multiply(inverse(sP1_iProver_def),multiply(inverse(sP0_iProver_def),X1)),
inference(superposition,[status(thm)],[c_1826,c_363]) ).
cnf(c_2057,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(inverse(X0),sP0_iProver_def)),sP1_iProver_def))),b2)) = X0,
inference(superposition,[status(thm)],[c_1826,c_154]) ).
cnf(c_2063,plain,
multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(inverse(inverse(sP1_iProver_def)),sP0_iProver_def)),sP1_iProver_def))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_1826,c_286]) ).
cnf(c_2146,plain,
multiply(X0,inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(X1),X2))),multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),X1))),b2)))) = X2,
inference(demodulation,[status(thm)],[c_112,c_1826]) ).
cnf(c_2149,plain,
multiply(X0,inverse(multiply(multiply(sP1_iProver_def,inverse(sP1_iProver_def)),multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),X1))),b2)))) = X1,
inference(superposition,[status(thm)],[c_1826,c_2146]) ).
cnf(c_2161,plain,
multiply(inverse(inverse(sP1_iProver_def)),inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(sP1_iProver_def),X0))),multiply(sP0_iProver_def,b2)))) = X0,
inference(superposition,[status(thm)],[c_2063,c_2146]) ).
cnf(c_2172,plain,
multiply(inverse(inverse(sP1_iProver_def)),inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(sP1_iProver_def),X0))),sP1_iProver_def))) = X0,
inference(light_normalisation,[status(thm)],[c_2161,c_61]) ).
cnf(c_2513,plain,
multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(sP1_iProver_def,sP0_iProver_def)),X0))),b2) = multiply(inverse(sP1_iProver_def),multiply(inverse(sP0_iProver_def),inverse(multiply(X0,b2)))),
inference(superposition,[status(thm)],[c_105,c_2045]) ).
cnf(c_2520,plain,
multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(sP1_iProver_def),multiply(inverse(sP0_iProver_def),X0)))),b2) = multiply(inverse(sP1_iProver_def),multiply(inverse(sP0_iProver_def),inverse(multiply(multiply(sP1_iProver_def,X0),b2)))),
inference(superposition,[status(thm)],[c_2041,c_2045]) ).
cnf(c_2526,plain,
inverse(multiply(inverse(sP1_iProver_def),multiply(inverse(sP0_iProver_def),inverse(multiply(sP2_iProver_def,b2))))) = a2,
inference(demodulation,[status(thm)],[c_352,c_2513]) ).
cnf(c_2527,plain,
inverse(multiply(inverse(sP1_iProver_def),multiply(inverse(sP0_iProver_def),inverse(multiply(multiply(sP1_iProver_def,X0),b2))))) = X0,
inference(demodulation,[status(thm)],[c_2041,c_2520]) ).
cnf(c_2567,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1)) = inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),X2))),b2)),
inference(light_normalisation,[status(thm)],[c_350,c_1826]) ).
cnf(c_2748,plain,
multiply(inverse(multiply(inverse(X0),sP0_iProver_def)),sP1_iProver_def) = multiply(inverse(sP1_iProver_def),multiply(inverse(sP0_iProver_def),X0)),
inference(superposition,[status(thm)],[c_2057,c_2045]) ).
cnf(c_2791,plain,
multiply(X0,multiply(inverse(sP1_iProver_def),multiply(inverse(sP0_iProver_def),inverse(multiply(multiply(sP1_iProver_def,X0),b2))))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2527,c_1826]) ).
cnf(c_2882,plain,
multiply(inverse(inverse(sP1_iProver_def)),inverse(multiply(X0,sP1_iProver_def))) = multiply(inverse(sP0_iProver_def),inverse(multiply(X0,b2))),
inference(superposition,[status(thm)],[c_2043,c_2172]) ).
cnf(c_2926,plain,
multiply(multiply(multiply(inverse(inverse(X0)),inverse(X0)),inverse(multiply(inverse(multiply(sP1_iProver_def,inverse(inverse(X0)))),X1))),inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(inverse(multiply(X2,sP0_iProver_def)),multiply(X2,inverse(multiply(X1,b2))))),X3))),X0))) = X3,
inference(light_normalisation,[status(thm)],[c_181,c_1826]) ).
cnf(c_2927,plain,
multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(sP1_iProver_def,inverse(inverse(X0)))),X1))),inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(inverse(sP0_iProver_def),inverse(multiply(X1,b2))))),X2))),X0))) = X2,
inference(demodulation,[status(thm)],[c_2926,c_1826,c_2051]) ).
cnf(c_2930,plain,
multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(sP1_iProver_def,inverse(sP0_iProver_def))),X0))),inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),multiply(inverse(sP0_iProver_def),inverse(multiply(X0,b2))))),X1))),b2))) = X1,
inference(superposition,[status(thm)],[c_60,c_2927]) ).
cnf(c_3118,plain,
multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(sP1_iProver_def,inverse(sP0_iProver_def))),X0))),inverse(multiply(multiply(sP1_iProver_def,inverse(sP1_iProver_def)),b2))) = multiply(inverse(sP1_iProver_def),multiply(inverse(sP0_iProver_def),inverse(multiply(X0,b2)))),
inference(superposition,[status(thm)],[c_1826,c_2930]) ).
cnf(c_3135,plain,
multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(sP1_iProver_def,inverse(sP0_iProver_def))),X0))),sP0_iProver_def) = multiply(inverse(sP1_iProver_def),multiply(inverse(sP0_iProver_def),inverse(multiply(X0,b2)))),
inference(light_normalisation,[status(thm)],[c_3118,c_60,c_982]) ).
cnf(c_3293,plain,
multiply(inverse(sP0_iProver_def),inverse(multiply(inverse(sP1_iProver_def),b2))) = multiply(inverse(inverse(sP1_iProver_def)),inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_1826,c_2882]) ).
cnf(c_3301,plain,
multiply(inverse(sP0_iProver_def),inverse(multiply(inverse(sP1_iProver_def),b2))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_3293,c_1826]) ).
cnf(c_3305,plain,
multiply(sP1_iProver_def,inverse(multiply(inverse(sP1_iProver_def),sP1_iProver_def))) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_3301,c_2043]) ).
cnf(c_3329,plain,
multiply(sP1_iProver_def,inverse(sP1_iProver_def)) = inverse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_3305,c_1826]) ).
cnf(c_4431,plain,
multiply(X0,inverse(multiply(inverse(sP1_iProver_def),multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),X1))),b2)))) = X1,
inference(light_normalisation,[status(thm)],[c_2149,c_3329]) ).
cnf(c_4457,plain,
multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(sP1_iProver_def,sP0_iProver_def)),X0))),b2) = multiply(inverse(sP0_iProver_def),inverse(multiply(X0,b2))),
inference(superposition,[status(thm)],[c_4431,c_2047]) ).
cnf(c_4497,plain,
multiply(sP1_iProver_def,inverse(multiply(inverse(sP0_iProver_def),inverse(multiply(X0,b2))))) = X0,
inference(superposition,[status(thm)],[c_4457,c_105]) ).
cnf(c_4573,plain,
multiply(sP1_iProver_def,inverse(multiply(inverse(sP1_iProver_def),X0))) = multiply(sP1_iProver_def,inverse(X0)),
inference(superposition,[status(thm)],[c_2047,c_4497]) ).
cnf(c_4585,plain,
inverse(multiply(inverse(sP1_iProver_def),multiply(inverse(sP0_iProver_def),inverse(multiply(X0,b2))))) = inverse(multiply(inverse(sP0_iProver_def),inverse(multiply(X0,b2)))),
inference(superposition,[status(thm)],[c_4497,c_2527]) ).
cnf(c_4593,plain,
multiply(inverse(sP0_iProver_def),inverse(multiply(multiply(sP1_iProver_def,inverse(X0)),b2))) = X0,
inference(demodulation,[status(thm)],[c_2047,c_4573]) ).
cnf(c_4595,plain,
multiply(inverse(sP1_iProver_def),X0) = X0,
inference(demodulation,[status(thm)],[c_2045,c_4593]) ).
cnf(c_4597,plain,
multiply(inverse(multiply(X0,sP0_iProver_def)),multiply(X0,X1)) = multiply(inverse(sP0_iProver_def),X1),
inference(demodulation,[status(thm)],[c_2051,c_4595]) ).
cnf(c_4600,plain,
multiply(inverse(multiply(inverse(X0),sP0_iProver_def)),sP1_iProver_def) = multiply(inverse(sP0_iProver_def),X0),
inference(demodulation,[status(thm)],[c_2748,c_4595]) ).
cnf(c_4606,plain,
multiply(X0,multiply(inverse(sP0_iProver_def),inverse(multiply(multiply(sP1_iProver_def,X0),b2)))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_2791,c_4595]) ).
cnf(c_4607,plain,
inverse(multiply(inverse(sP0_iProver_def),inverse(multiply(multiply(sP1_iProver_def,X0),b2)))) = X0,
inference(demodulation,[status(thm)],[c_2527,c_4595]) ).
cnf(c_4609,plain,
inverse(multiply(inverse(sP0_iProver_def),inverse(multiply(sP2_iProver_def,b2)))) = a2,
inference(demodulation,[status(thm)],[c_2526,c_4595]) ).
cnf(c_4732,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP0_iProver_def)),X0))),b2)) = inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(inverse(X1)),X0))),X1)),
inference(superposition,[status(thm)],[c_4595,c_2567]) ).
cnf(c_4734,plain,
multiply(inverse(sP1_iProver_def),inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(sP0_iProver_def),X0))),b2))) = X0,
inference(superposition,[status(thm)],[c_4595,c_105]) ).
cnf(c_4735,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP0_iProver_def)),X0))),b2)) = X0,
inference(superposition,[status(thm)],[c_4595,c_105]) ).
cnf(c_4740,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(inverse(X0)),X1))),X0)) = X1,
inference(light_normalisation,[status(thm)],[c_4732,c_2046,c_4593]) ).
cnf(c_4829,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(sP0_iProver_def),X0))),b2)) = X0,
inference(demodulation,[status(thm)],[c_4734,c_4595]) ).
cnf(c_4833,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(sP1_iProver_def)),b2)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_1826,c_4829]) ).
cnf(c_4839,plain,
inverse(multiply(inverse(sP1_iProver_def),b2)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_4833,c_3329]) ).
cnf(c_5042,plain,
multiply(inverse(sP0_iProver_def),inverse(multiply(multiply(sP1_iProver_def,sP1_iProver_def),b2))) = inverse(multiply(inverse(sP0_iProver_def),inverse(multiply(sP1_iProver_def,b2)))),
inference(superposition,[status(thm)],[c_4606,c_4607]) ).
cnf(c_5070,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(inverse(inverse(X0)),sP0_iProver_def)),X1))),b2)) = inverse(multiply(multiply(sP1_iProver_def,inverse(X1)),X0)),
inference(superposition,[status(thm)],[c_105,c_4740]) ).
cnf(c_5806,plain,
inverse(inverse(multiply(inverse(sP0_iProver_def),inverse(multiply(sP1_iProver_def,b2))))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_5042,c_4607]) ).
cnf(c_5866,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(X0)),multiply(inverse(sP0_iProver_def),inverse(multiply(sP1_iProver_def,b2))))) = inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(sP1_iProver_def,sP0_iProver_def)),X0))),b2)),
inference(superposition,[status(thm)],[c_5806,c_5070]) ).
cnf(c_5873,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(X0)),inverse(multiply(inverse(sP0_iProver_def),inverse(multiply(sP1_iProver_def,b2)))))) = inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(inverse(sP1_iProver_def),sP0_iProver_def)),X0))),b2)),
inference(superposition,[status(thm)],[c_5806,c_5070]) ).
cnf(c_5880,plain,
multiply(inverse(inverse(X0)),inverse(multiply(multiply(sP1_iProver_def,inverse(X1)),X0))) = X1,
inference(superposition,[status(thm)],[c_5070,c_105]) ).
cnf(c_5892,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(X0)),multiply(inverse(sP0_iProver_def),inverse(multiply(sP1_iProver_def,b2))))) = inverse(multiply(inverse(sP0_iProver_def),inverse(multiply(X0,b2)))),
inference(light_normalisation,[status(thm)],[c_5866,c_4457]) ).
cnf(c_5893,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(X0)),inverse(multiply(inverse(sP0_iProver_def),inverse(multiply(sP1_iProver_def,b2)))))) = X0,
inference(light_normalisation,[status(thm)],[c_5873,c_4735]) ).
cnf(c_5999,plain,
multiply(inverse(inverse(inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(multiply(sP1_iProver_def,inverse(X0)),sP0_iProver_def)),X1))),b2)))),inverse(X1)) = X0,
inference(superposition,[status(thm)],[c_105,c_5880]) ).
cnf(c_6007,plain,
multiply(inverse(inverse(X0)),inverse(multiply(X1,X0))) = multiply(inverse(sP0_iProver_def),inverse(multiply(X1,b2))),
inference(superposition,[status(thm)],[c_4497,c_5880]) ).
cnf(c_6176,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(multiply(sP1_iProver_def,inverse(X0)),sP0_iProver_def)),X1))),b2)) = inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(X0,X1))),multiply(inverse(sP0_iProver_def),inverse(multiply(sP1_iProver_def,b2))))),
inference(superposition,[status(thm)],[c_5893,c_2567]) ).
cnf(c_6181,plain,
multiply(inverse(multiply(X0,inverse(inverse(multiply(inverse(sP0_iProver_def),inverse(multiply(sP1_iProver_def,b2))))))),X1) = inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),X1))),b2)),
inference(superposition,[status(thm)],[c_5893,c_2567]) ).
cnf(c_6184,plain,
inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(X0,sP0_iProver_def)),X1))),b2)) = multiply(inverse(multiply(X0,sP1_iProver_def)),X1),
inference(light_normalisation,[status(thm)],[c_6181,c_5806]) ).
cnf(c_6187,plain,
multiply(X0,multiply(inverse(multiply(X0,sP1_iProver_def)),X1)) = X1,
inference(demodulation,[status(thm)],[c_105,c_6184]) ).
cnf(c_6269,plain,
inverse(multiply(inverse(sP0_iProver_def),inverse(multiply(X0,b2)))) = multiply(inverse(multiply(sP1_iProver_def,sP1_iProver_def)),X0),
inference(superposition,[status(thm)],[c_6187,c_4607]) ).
cnf(c_6275,plain,
multiply(inverse(multiply(inverse(multiply(X0,sP1_iProver_def)),sP1_iProver_def)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_6187,c_6187]) ).
cnf(c_6282,plain,
multiply(inverse(multiply(sP1_iProver_def,sP1_iProver_def)),sP2_iProver_def) = a2,
inference(demodulation,[status(thm)],[c_4609,c_6269]) ).
cnf(c_6283,plain,
multiply(inverse(multiply(sP1_iProver_def,sP1_iProver_def)),multiply(sP1_iProver_def,X0)) = X0,
inference(demodulation,[status(thm)],[c_4607,c_6269]) ).
cnf(c_6333,plain,
multiply(inverse(multiply(sP1_iProver_def,sP1_iProver_def)),inverse(sP1_iProver_def)) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_3329,c_6283]) ).
cnf(c_6363,plain,
multiply(inverse(multiply(X0,sP1_iProver_def)),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_6275,c_6187]) ).
cnf(c_6836,plain,
multiply(inverse(inverse(inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(X0,X1))),multiply(inverse(sP0_iProver_def),inverse(multiply(sP1_iProver_def,b2))))))),inverse(X1)) = X0,
inference(light_normalisation,[status(thm)],[c_5999,c_6176]) ).
cnf(c_6837,plain,
multiply(inverse(inverse(multiply(inverse(multiply(sP1_iProver_def,sP1_iProver_def)),multiply(X0,X1)))),inverse(X1)) = X0,
inference(demodulation,[status(thm)],[c_6836,c_5892,c_6269]) ).
cnf(c_6860,plain,
multiply(inverse(inverse(inverse(sP1_iProver_def))),inverse(inverse(sP1_iProver_def))) = inverse(multiply(sP1_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_6333,c_6837]) ).
cnf(c_6869,plain,
multiply(inverse(inverse(multiply(inverse(multiply(sP1_iProver_def,sP1_iProver_def)),multiply(X0,b2)))),sP0_iProver_def) = X0,
inference(superposition,[status(thm)],[c_60,c_6837]) ).
cnf(c_7089,plain,
inverse(multiply(sP1_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_6860,c_1826]) ).
cnf(c_7090,plain,
multiply(inverse(inverse(multiply(sP1_iProver_def,multiply(X0,b2)))),sP0_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_6869,c_7089]) ).
cnf(c_7091,plain,
multiply(inverse(inverse(multiply(sP1_iProver_def,multiply(X0,X1)))),inverse(X1)) = X0,
inference(demodulation,[status(thm)],[c_6837,c_7089]) ).
cnf(c_7095,plain,
multiply(sP1_iProver_def,sP2_iProver_def) = a2,
inference(demodulation,[status(thm)],[c_6282,c_7089]) ).
cnf(c_7101,plain,
multiply(sP1_iProver_def,multiply(sP1_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_7089,c_6363]) ).
cnf(c_7174,plain,
multiply(inverse(inverse(multiply(sP1_iProver_def,b2))),sP0_iProver_def) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_4595,c_7090]) ).
cnf(c_7205,plain,
multiply(inverse(sP0_iProver_def),inverse(multiply(sP1_iProver_def,b2))) = multiply(inverse(inverse(sP1_iProver_def)),sP1_iProver_def),
inference(superposition,[status(thm)],[c_7174,c_4600]) ).
cnf(c_7263,plain,
multiply(inverse(inverse(multiply(sP1_iProver_def,X0))),inverse(X0)) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_4595,c_7091]) ).
cnf(c_7428,plain,
multiply(inverse(inverse(X0)),inverse(multiply(sP1_iProver_def,X0))) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_7101,c_7263]) ).
cnf(c_7526,plain,
multiply(inverse(inverse(sP1_iProver_def)),sP1_iProver_def) = inverse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_7428,c_6007,c_7205]) ).
cnf(c_7527,plain,
multiply(inverse(inverse(multiply(sP1_iProver_def,inverse(sP1_iProver_def)))),inverse(sP1_iProver_def)) = inverse(inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_7526,c_7091]) ).
cnf(c_7532,plain,
multiply(inverse(inverse(inverse(sP1_iProver_def))),inverse(sP1_iProver_def)) = inverse(inverse(sP1_iProver_def)),
inference(light_normalisation,[status(thm)],[c_7527,c_3329]) ).
cnf(c_8131,plain,
multiply(inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(sP1_iProver_def,inverse(inverse(multiply(multiply(sP1_iProver_def,inverse(X0)),b2))))),X1))),sP0_iProver_def)),multiply(inverse(sP0_iProver_def),inverse(multiply(X1,b2)))) = X0,
inference(demodulation,[status(thm)],[c_187,c_1826,c_4597]) ).
cnf(c_8134,plain,
multiply(inverse(multiply(multiply(sP1_iProver_def,inverse(multiply(inverse(multiply(sP1_iProver_def,inverse(inverse(multiply(inverse(sP1_iProver_def),b2))))),X0))),sP0_iProver_def)),multiply(inverse(sP0_iProver_def),inverse(multiply(X0,b2)))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_3329,c_8131]) ).
cnf(c_8153,plain,
multiply(multiply(sP1_iProver_def,X0),multiply(inverse(sP0_iProver_def),inverse(multiply(X0,b2)))) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_8134,c_3135,c_4585,c_4839,c_6269,c_7089]) ).
cnf(c_8257,plain,
multiply(inverse(sP0_iProver_def),inverse(multiply(sP1_iProver_def,b2))) = inverse(sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_7205,c_7526]) ).
cnf(c_8364,plain,
multiply(multiply(sP1_iProver_def,sP1_iProver_def),inverse(sP1_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_8257,c_8153]) ).
cnf(c_8384,plain,
multiply(inverse(inverse(multiply(sP1_iProver_def,sP1_iProver_def))),inverse(inverse(sP1_iProver_def))) = multiply(sP1_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_8364,c_7091]) ).
cnf(c_8387,plain,
multiply(inverse(sP1_iProver_def),inverse(inverse(sP1_iProver_def))) = multiply(sP1_iProver_def,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_8384,c_7089]) ).
cnf(c_8388,plain,
inverse(inverse(sP1_iProver_def)) = multiply(sP1_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_8387,c_4595]) ).
cnf(c_8396,plain,
multiply(inverse(multiply(sP1_iProver_def,sP1_iProver_def)),inverse(sP1_iProver_def)) = multiply(sP1_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_7532,c_8388]) ).
cnf(c_8400,plain,
multiply(sP1_iProver_def,sP1_iProver_def) = inverse(sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_8396,c_3329,c_7089]) ).
cnf(c_8402,plain,
inverse(inverse(sP1_iProver_def)) = inverse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_8388,c_8400]) ).
cnf(c_8403,plain,
multiply(inverse(sP1_iProver_def),inverse(sP1_iProver_def)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_8364,c_8400]) ).
cnf(c_8412,plain,
multiply(inverse(inverse(multiply(sP1_iProver_def,inverse(sP1_iProver_def)))),multiply(sP1_iProver_def,sP1_iProver_def)) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_8388,c_7263]) ).
cnf(c_8416,plain,
inverse(sP1_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_8412,c_3329,c_8400,c_8402,c_8403]) ).
cnf(c_8428,plain,
multiply(sP1_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_4595,c_8416]) ).
cnf(c_8439,plain,
a2 = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_7095,c_8428]) ).
cnf(c_8443,plain,
sP2_iProver_def != sP2_iProver_def,
inference(demodulation,[status(thm)],[c_63,c_8439]) ).
cnf(c_8444,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_8443]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP413-1 : TPTP v8.1.2. Released v2.6.0.
% 0.05/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n002.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 00:09:57 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.42 Running UEQ theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.00/1.60 % SZS status Started for theBenchmark.p
% 8.00/1.60 % SZS status Unsatisfiable for theBenchmark.p
% 8.00/1.60
% 8.00/1.60 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.00/1.60
% 8.00/1.60 ------ iProver source info
% 8.00/1.60
% 8.00/1.60 git: date: 2024-05-02 19:28:25 +0000
% 8.00/1.60 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.00/1.60 git: non_committed_changes: false
% 8.00/1.60
% 8.00/1.60 ------ Parsing...successful
% 8.00/1.60
% 8.00/1.60
% 8.00/1.60
% 8.00/1.60 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.00/1.60
% 8.00/1.60 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.00/1.60
% 8.00/1.60 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.00/1.60 ------ Proving...
% 8.00/1.60 ------ Problem Properties
% 8.00/1.60
% 8.00/1.60
% 8.00/1.60 clauses 5
% 8.00/1.60 conjectures 1
% 8.00/1.60 EPR 1
% 8.00/1.60 Horn 5
% 8.00/1.60 unary 5
% 8.00/1.60 binary 0
% 8.00/1.60 lits 5
% 8.00/1.60 lits eq 5
% 8.00/1.60 fd_pure 0
% 8.00/1.60 fd_pseudo 0
% 8.00/1.60 fd_cond 0
% 8.00/1.60 fd_pseudo_cond 0
% 8.00/1.60 AC symbols 0
% 8.00/1.60
% 8.00/1.60 ------ Input Options Time Limit: Unbounded
% 8.00/1.60
% 8.00/1.60
% 8.00/1.60 ------
% 8.00/1.60 Current options:
% 8.00/1.60 ------
% 8.00/1.60
% 8.00/1.60
% 8.00/1.60
% 8.00/1.60
% 8.00/1.60 ------ Proving...
% 8.00/1.60
% 8.00/1.60
% 8.00/1.60 % SZS status Unsatisfiable for theBenchmark.p
% 8.00/1.60
% 8.00/1.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.00/1.60
% 8.00/1.61
%------------------------------------------------------------------------------