TSTP Solution File: GRP080-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP080-1 : TPTP v8.2.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 06:57:50 EDT 2024
% Result : Unsatisfiable 7.87s 1.64s
% Output : CNFRefutation 7.87s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
double_divide(double_divide(X0,X1),identity) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,plain,
double_divide(X0,identity) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(c_52,plain,
double_divide(X0,inverse(X0)) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(c_53,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_72,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
inference(demodulation,[status(thm)],[c_50,c_51]) ).
cnf(c_73,plain,
double_divide(double_divide(identity,double_divide(X0,inverse(X1))),multiply(double_divide(X2,X0),X1)) = X2,
inference(demodulation,[status(thm)],[c_49,c_51,c_72]) ).
cnf(c_84,plain,
multiply(a3,b3) = sP0_iProver_def,
definition ).
cnf(c_85,plain,
multiply(sP0_iProver_def,c3) = sP1_iProver_def,
definition ).
cnf(c_86,plain,
multiply(b3,c3) = sP2_iProver_def,
definition ).
cnf(c_87,plain,
multiply(a3,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_88,plain,
inverse(a1) = sP4_iProver_def,
definition ).
cnf(c_89,plain,
multiply(sP4_iProver_def,a1) = sP5_iProver_def,
definition ).
cnf(c_90,plain,
multiply(identity,a2) = sP6_iProver_def,
definition ).
cnf(c_91,negated_conjecture,
( sP1_iProver_def != sP3_iProver_def
| sP5_iProver_def != identity
| sP6_iProver_def != a2 ),
inference(demodulation,[status(thm)],[c_53,c_90,c_88,c_89,c_86,c_87,c_84,c_85]) ).
cnf(c_156,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_51,c_72]) ).
cnf(c_158,plain,
double_divide(a1,sP4_iProver_def) = identity,
inference(superposition,[status(thm)],[c_88,c_52]) ).
cnf(c_159,plain,
double_divide(double_divide(X0,X1),multiply(X1,X0)) = identity,
inference(superposition,[status(thm)],[c_72,c_52]) ).
cnf(c_163,plain,
double_divide(double_divide(identity,identity),multiply(double_divide(X0,X1),X1)) = X0,
inference(superposition,[status(thm)],[c_52,c_73]) ).
cnf(c_164,plain,
double_divide(double_divide(identity,double_divide(X0,sP4_iProver_def)),multiply(double_divide(X1,X0),a1)) = X1,
inference(superposition,[status(thm)],[c_88,c_73]) ).
cnf(c_166,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X0))),multiply(inverse(X1),X0)) = X1,
inference(superposition,[status(thm)],[c_51,c_73]) ).
cnf(c_168,plain,
double_divide(double_divide(identity,double_divide(multiply(double_divide(X0,X1),X2),inverse(X3))),multiply(X0,X3)) = double_divide(identity,double_divide(X1,inverse(X2))),
inference(superposition,[status(thm)],[c_73,c_73]) ).
cnf(c_179,plain,
multiply(sP4_iProver_def,a1) = inverse(identity),
inference(superposition,[status(thm)],[c_158,c_72]) ).
cnf(c_180,plain,
inverse(identity) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_179,c_89]) ).
cnf(c_182,plain,
double_divide(identity,sP5_iProver_def) = identity,
inference(superposition,[status(thm)],[c_180,c_52]) ).
cnf(c_185,plain,
double_divide(double_divide(identity,double_divide(sP5_iProver_def,inverse(X0))),multiply(identity,X0)) = identity,
inference(superposition,[status(thm)],[c_182,c_73]) ).
cnf(c_280,plain,
double_divide(double_divide(b3,a3),sP0_iProver_def) = identity,
inference(superposition,[status(thm)],[c_84,c_159]) ).
cnf(c_283,plain,
double_divide(double_divide(c3,sP0_iProver_def),sP1_iProver_def) = identity,
inference(superposition,[status(thm)],[c_85,c_159]) ).
cnf(c_294,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_159,c_73]) ).
cnf(c_295,plain,
identity = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_294,c_180]) ).
cnf(c_309,plain,
double_divide(double_divide(X0,X1),multiply(X1,X0)) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_159,c_295]) ).
cnf(c_315,plain,
multiply(sP5_iProver_def,X0) = inverse(inverse(X0)),
inference(demodulation,[status(thm)],[c_156,c_295]) ).
cnf(c_317,plain,
double_divide(sP5_iProver_def,sP5_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_182,c_295]) ).
cnf(c_319,plain,
double_divide(a1,sP4_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_158,c_295]) ).
cnf(c_320,plain,
double_divide(double_divide(sP5_iProver_def,double_divide(X0,inverse(X1))),multiply(double_divide(X2,X0),X1)) = X2,
inference(demodulation,[status(thm)],[c_73,c_295]) ).
cnf(c_321,plain,
double_divide(X0,inverse(X0)) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_52,c_295]) ).
cnf(c_322,plain,
double_divide(X0,sP5_iProver_def) = inverse(X0),
inference(demodulation,[status(thm)],[c_51,c_295]) ).
cnf(c_323,plain,
multiply(sP5_iProver_def,a2) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_90,c_295]) ).
cnf(c_324,plain,
( a2 != sP6_iProver_def
| sP1_iProver_def != sP3_iProver_def
| sP5_iProver_def != sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_91,c_295]) ).
cnf(c_325,plain,
( a2 != sP6_iProver_def
| sP1_iProver_def != sP3_iProver_def ),
inference(equality_resolution_simp,[status(thm)],[c_324]) ).
cnf(c_357,plain,
double_divide(sP5_iProver_def,multiply(double_divide(X0,X1),X1)) = X0,
inference(light_normalisation,[status(thm)],[c_163,c_295,c_317]) ).
cnf(c_364,plain,
double_divide(sP5_iProver_def,multiply(sP5_iProver_def,sP4_iProver_def)) = a1,
inference(superposition,[status(thm)],[c_319,c_357]) ).
cnf(c_376,plain,
double_divide(sP5_iProver_def,multiply(sP5_iProver_def,inverse(X0))) = X0,
inference(superposition,[status(thm)],[c_321,c_357]) ).
cnf(c_380,plain,
double_divide(sP5_iProver_def,multiply(inverse(X0),sP5_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_322,c_357]) ).
cnf(c_386,plain,
double_divide(double_divide(b3,a3),sP0_iProver_def) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_280,c_295]) ).
cnf(c_387,plain,
double_divide(sP5_iProver_def,multiply(sP5_iProver_def,sP0_iProver_def)) = double_divide(b3,a3),
inference(superposition,[status(thm)],[c_386,c_357]) ).
cnf(c_396,plain,
double_divide(double_divide(c3,sP0_iProver_def),sP1_iProver_def) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_283,c_295]) ).
cnf(c_397,plain,
double_divide(sP5_iProver_def,multiply(sP5_iProver_def,sP1_iProver_def)) = double_divide(c3,sP0_iProver_def),
inference(superposition,[status(thm)],[c_396,c_357]) ).
cnf(c_414,plain,
double_divide(double_divide(sP5_iProver_def,double_divide(X0,sP4_iProver_def)),multiply(double_divide(X1,X0),a1)) = X1,
inference(light_normalisation,[status(thm)],[c_164,c_295]) ).
cnf(c_424,plain,
double_divide(double_divide(sP5_iProver_def,double_divide(multiply(double_divide(X0,X1),a1),sP4_iProver_def)),multiply(X0,a1)) = double_divide(sP5_iProver_def,double_divide(X1,sP4_iProver_def)),
inference(superposition,[status(thm)],[c_414,c_414]) ).
cnf(c_468,plain,
multiply(sP5_iProver_def,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_72,c_315]) ).
cnf(c_471,plain,
multiply(sP5_iProver_def,inverse(X0)) = inverse(multiply(sP5_iProver_def,X0)),
inference(superposition,[status(thm)],[c_315,c_315]) ).
cnf(c_546,plain,
double_divide(sP5_iProver_def,multiply(sP5_iProver_def,multiply(X0,X1))) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_72,c_376]) ).
cnf(c_551,plain,
multiply(multiply(sP5_iProver_def,inverse(X0)),sP5_iProver_def) = inverse(X0),
inference(superposition,[status(thm)],[c_376,c_72]) ).
cnf(c_926,plain,
multiply(multiply(sP5_iProver_def,multiply(X0,X1)),sP5_iProver_def) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_72,c_551]) ).
cnf(c_938,plain,
double_divide(sP5_iProver_def,multiply(multiply(X0,X1),sP5_iProver_def)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_72,c_380]) ).
cnf(c_945,plain,
multiply(multiply(inverse(X0),sP5_iProver_def),sP5_iProver_def) = inverse(X0),
inference(superposition,[status(thm)],[c_380,c_72]) ).
cnf(c_1212,plain,
multiply(sP5_iProver_def,inverse(a2)) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_323,c_471]) ).
cnf(c_1213,plain,
double_divide(sP5_iProver_def,multiply(multiply(sP5_iProver_def,inverse(X0)),sP5_iProver_def)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_471,c_380]) ).
cnf(c_1223,plain,
double_divide(sP5_iProver_def,inverse(X0)) = multiply(sP5_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_1213,c_551]) ).
cnf(c_1230,plain,
double_divide(double_divide(sP5_iProver_def,multiply(sP5_iProver_def,X0)),multiply(inverse(X1),X0)) = X1,
inference(light_normalisation,[status(thm)],[c_166,c_295,c_1223]) ).
cnf(c_1231,plain,
double_divide(a1,multiply(inverse(X0),sP4_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_364,c_1230]) ).
cnf(c_1242,plain,
double_divide(double_divide(sP5_iProver_def,multiply(sP5_iProver_def,X0)),multiply(sP4_iProver_def,X0)) = a1,
inference(superposition,[status(thm)],[c_88,c_1230]) ).
cnf(c_1251,plain,
multiply(multiply(inverse(X0),X1),double_divide(sP5_iProver_def,multiply(sP5_iProver_def,X1))) = inverse(X0),
inference(superposition,[status(thm)],[c_1230,c_72]) ).
cnf(c_1349,plain,
multiply(multiply(multiply(X0,X1),sP5_iProver_def),sP5_iProver_def) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_72,c_945]) ).
cnf(c_1560,plain,
double_divide(sP5_iProver_def,inverse(sP6_iProver_def)) = a2,
inference(superposition,[status(thm)],[c_1212,c_376]) ).
cnf(c_1583,plain,
multiply(sP5_iProver_def,sP6_iProver_def) = a2,
inference(demodulation,[status(thm)],[c_1560,c_1223]) ).
cnf(c_1590,plain,
multiply(sP5_iProver_def,inverse(sP6_iProver_def)) = inverse(a2),
inference(superposition,[status(thm)],[c_1583,c_471]) ).
cnf(c_1957,plain,
double_divide(sP5_iProver_def,multiply(X0,X1)) = multiply(sP5_iProver_def,double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_72,c_1223]) ).
cnf(c_1958,plain,
double_divide(sP5_iProver_def,multiply(sP5_iProver_def,X0)) = multiply(sP5_iProver_def,inverse(X0)),
inference(superposition,[status(thm)],[c_315,c_1223]) ).
cnf(c_1960,plain,
double_divide(sP5_iProver_def,multiply(sP5_iProver_def,inverse(X0))) = multiply(sP5_iProver_def,multiply(sP5_iProver_def,X0)),
inference(superposition,[status(thm)],[c_471,c_1223]) ).
cnf(c_1967,plain,
multiply(inverse(X0),sP5_iProver_def) = inverse(multiply(sP5_iProver_def,X0)),
inference(superposition,[status(thm)],[c_1223,c_72]) ).
cnf(c_1972,plain,
multiply(inverse(X0),sP5_iProver_def) = multiply(sP5_iProver_def,inverse(X0)),
inference(light_normalisation,[status(thm)],[c_1967,c_471]) ).
cnf(c_1974,plain,
multiply(sP5_iProver_def,multiply(sP5_iProver_def,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1960,c_376]) ).
cnf(c_1977,plain,
multiply(sP5_iProver_def,inverse(sP0_iProver_def)) = double_divide(b3,a3),
inference(demodulation,[status(thm)],[c_387,c_1958]) ).
cnf(c_1978,plain,
multiply(sP5_iProver_def,inverse(sP1_iProver_def)) = double_divide(c3,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_397,c_1958]) ).
cnf(c_2160,plain,
double_divide(double_divide(sP5_iProver_def,double_divide(multiply(double_divide(X0,X1),X2),inverse(X3))),multiply(X0,X3)) = double_divide(sP5_iProver_def,double_divide(X1,inverse(X2))),
inference(light_normalisation,[status(thm)],[c_168,c_295]) ).
cnf(c_2184,plain,
double_divide(double_divide(sP5_iProver_def,double_divide(multiply(double_divide(X0,X1),X2),sP4_iProver_def)),multiply(X0,a1)) = double_divide(sP5_iProver_def,double_divide(X1,inverse(X2))),
inference(superposition,[status(thm)],[c_88,c_2160]) ).
cnf(c_2764,plain,
multiply(sP5_iProver_def,inverse(multiply(X0,X1))) = double_divide(X1,X0),
inference(demodulation,[status(thm)],[c_546,c_1958]) ).
cnf(c_2765,plain,
multiply(sP5_iProver_def,multiply(sP5_iProver_def,inverse(X0))) = double_divide(X0,sP5_iProver_def),
inference(superposition,[status(thm)],[c_471,c_2764]) ).
cnf(c_2832,plain,
multiply(sP5_iProver_def,multiply(sP5_iProver_def,inverse(X0))) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_2765,c_322]) ).
cnf(c_3315,plain,
multiply(multiply(sP5_iProver_def,X0),sP5_iProver_def) = X0,
inference(superposition,[status(thm)],[c_1974,c_926]) ).
cnf(c_3384,plain,
inverse(multiply(multiply(multiply(X0,X1),sP5_iProver_def),sP5_iProver_def)) = multiply(sP5_iProver_def,double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_938,c_468]) ).
cnf(c_3418,plain,
double_divide(sP5_iProver_def,multiply(X0,X1)) = inverse(multiply(X0,X1)),
inference(light_normalisation,[status(thm)],[c_3384,c_1349,c_1957]) ).
cnf(c_3427,plain,
inverse(multiply(double_divide(X0,X1),X1)) = X0,
inference(demodulation,[status(thm)],[c_357,c_3418]) ).
cnf(c_3510,plain,
multiply(X0,sP5_iProver_def) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_1974,c_3315]) ).
cnf(c_3536,plain,
multiply(sP5_iProver_def,inverse(multiply(sP5_iProver_def,X0))) = double_divide(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_3510,c_2764]) ).
cnf(c_3545,plain,
multiply(sP5_iProver_def,inverse(multiply(X0,sP5_iProver_def))) = double_divide(X0,sP5_iProver_def),
inference(superposition,[status(thm)],[c_3510,c_2764]) ).
cnf(c_3550,plain,
multiply(sP5_iProver_def,multiply(X0,sP5_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_3510,c_1974]) ).
cnf(c_3557,plain,
multiply(sP5_iProver_def,inverse(multiply(X0,sP5_iProver_def))) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_3545,c_322]) ).
cnf(c_3558,plain,
double_divide(sP5_iProver_def,X0) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_3536,c_471,c_2832]) ).
cnf(c_3596,plain,
multiply(X0,sP5_iProver_def) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_3558,c_72]) ).
cnf(c_3655,plain,
multiply(multiply(inverse(X0),sP4_iProver_def),a1) = inverse(X0),
inference(superposition,[status(thm)],[c_1231,c_72]) ).
cnf(c_3806,plain,
multiply(multiply(multiply(X0,X1),sP4_iProver_def),a1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_72,c_3655]) ).
cnf(c_3826,plain,
double_divide(multiply(sP5_iProver_def,inverse(X0)),multiply(sP4_iProver_def,X0)) = a1,
inference(light_normalisation,[status(thm)],[c_1242,c_1958]) ).
cnf(c_3833,plain,
double_divide(multiply(sP5_iProver_def,multiply(X0,X1)),multiply(sP4_iProver_def,double_divide(X1,X0))) = a1,
inference(superposition,[status(thm)],[c_72,c_3826]) ).
cnf(c_3835,plain,
double_divide(multiply(sP5_iProver_def,multiply(sP5_iProver_def,X0)),multiply(sP4_iProver_def,inverse(X0))) = a1,
inference(superposition,[status(thm)],[c_315,c_3826]) ).
cnf(c_3846,plain,
double_divide(X0,multiply(sP4_iProver_def,inverse(X0))) = a1,
inference(light_normalisation,[status(thm)],[c_3835,c_1974]) ).
cnf(c_4513,plain,
double_divide(double_divide(sP5_iProver_def,double_divide(sP5_iProver_def,inverse(X0))),multiply(sP5_iProver_def,X0)) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_185,c_295]) ).
cnf(c_4514,plain,
double_divide(multiply(sP5_iProver_def,inverse(X0)),multiply(sP5_iProver_def,X0)) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_4513,c_72,c_1972,c_3558]) ).
cnf(c_4545,plain,
double_divide(multiply(sP5_iProver_def,inverse(multiply(X0,sP5_iProver_def))),X0) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_3550,c_4514]) ).
cnf(c_4558,plain,
double_divide(inverse(X0),X0) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_4545,c_3557]) ).
cnf(c_4775,plain,
double_divide(multiply(X0,X1),double_divide(X1,X0)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_72,c_4558]) ).
cnf(c_4929,plain,
double_divide(sP6_iProver_def,double_divide(a2,sP5_iProver_def)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_323,c_4775]) ).
cnf(c_4930,plain,
double_divide(a2,double_divide(sP6_iProver_def,sP5_iProver_def)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_1583,c_4775]) ).
cnf(c_5239,plain,
double_divide(sP6_iProver_def,inverse(a2)) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_4929,c_322]) ).
cnf(c_5270,plain,
double_divide(a2,inverse(sP6_iProver_def)) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_4930,c_322]) ).
cnf(c_5714,plain,
multiply(multiply(X0,sP4_iProver_def),a1) = X0,
inference(superposition,[status(thm)],[c_3550,c_3806]) ).
cnf(c_5747,plain,
inverse(multiply(sP5_iProver_def,inverse(X0))) = X0,
inference(superposition,[status(thm)],[c_321,c_3427]) ).
cnf(c_5760,plain,
inverse(multiply(sP5_iProver_def,multiply(sP5_iProver_def,X0))) = multiply(sP5_iProver_def,inverse(X0)),
inference(superposition,[status(thm)],[c_4514,c_3427]) ).
cnf(c_5769,plain,
inverse(multiply(sP5_iProver_def,inverse(a2))) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_5239,c_3427]) ).
cnf(c_5770,plain,
inverse(multiply(sP5_iProver_def,inverse(sP6_iProver_def))) = a2,
inference(superposition,[status(thm)],[c_5270,c_3427]) ).
cnf(c_5787,plain,
inverse(inverse(a2)) = a2,
inference(light_normalisation,[status(thm)],[c_5770,c_1590]) ).
cnf(c_5788,plain,
inverse(inverse(sP6_iProver_def)) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_5769,c_1212]) ).
cnf(c_5802,plain,
multiply(sP5_iProver_def,inverse(X0)) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_5760,c_1974]) ).
cnf(c_5812,plain,
inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(demodulation,[status(thm)],[c_2764,c_5802]) ).
cnf(c_5814,plain,
double_divide(b3,a3) = inverse(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_1977,c_5802]) ).
cnf(c_5815,plain,
double_divide(c3,sP0_iProver_def) = inverse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_1978,c_5802]) ).
cnf(c_5818,plain,
inverse(a2) = inverse(sP6_iProver_def),
inference(demodulation,[status(thm)],[c_1590,c_5802]) ).
cnf(c_5840,plain,
double_divide(X0,double_divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_3427,c_5812]) ).
cnf(c_5859,plain,
a2 = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_5787,c_5788,c_5818]) ).
cnf(c_5865,plain,
( sP1_iProver_def != sP3_iProver_def
| sP6_iProver_def != sP6_iProver_def ),
inference(demodulation,[status(thm)],[c_325,c_5859]) ).
cnf(c_5867,plain,
sP1_iProver_def != sP3_iProver_def,
inference(equality_resolution_simp,[status(thm)],[c_5865]) ).
cnf(c_6333,plain,
multiply(X0,sP5_iProver_def) = X0,
inference(light_normalisation,[status(thm)],[c_5747,c_3596,c_5802]) ).
cnf(c_6334,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_3596,c_6333]) ).
cnf(c_6335,plain,
multiply(sP5_iProver_def,X0) = X0,
inference(demodulation,[status(thm)],[c_3550,c_6333]) ).
cnf(c_6491,plain,
double_divide(a3,inverse(sP0_iProver_def)) = b3,
inference(superposition,[status(thm)],[c_5814,c_5840]) ).
cnf(c_6493,plain,
double_divide(sP0_iProver_def,inverse(sP1_iProver_def)) = c3,
inference(superposition,[status(thm)],[c_5815,c_5840]) ).
cnf(c_6499,plain,
double_divide(double_divide(X0,X1),sP5_iProver_def) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_4775,c_5840]) ).
cnf(c_6500,plain,
double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_5840,c_5840]) ).
cnf(c_6506,plain,
multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(superposition,[status(thm)],[c_5840,c_72]) ).
cnf(c_6554,plain,
multiply(inverse(sP0_iProver_def),a3) = inverse(b3),
inference(superposition,[status(thm)],[c_6491,c_72]) ).
cnf(c_6839,plain,
double_divide(multiply(inverse(X0),X1),multiply(double_divide(X2,X1),X0)) = X2,
inference(demodulation,[status(thm)],[c_320,c_72,c_3558]) ).
cnf(c_6844,plain,
double_divide(inverse(b3),multiply(double_divide(X0,a3),sP0_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_6554,c_6839]) ).
cnf(c_6848,plain,
double_divide(multiply(sP4_iProver_def,X0),multiply(double_divide(X1,X0),a1)) = X1,
inference(superposition,[status(thm)],[c_88,c_6839]) ).
cnf(c_7072,plain,
double_divide(sP5_iProver_def,double_divide(X0,X1)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_309,c_6500]) ).
cnf(c_7098,plain,
multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_6500,c_72]) ).
cnf(c_7131,plain,
multiply(sP5_iProver_def,multiply(X0,X1)) = inverse(double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_309,c_6506]) ).
cnf(c_7157,plain,
multiply(inverse(X0),a1) = double_divide(X0,sP4_iProver_def),
inference(superposition,[status(thm)],[c_6506,c_5714]) ).
cnf(c_7267,plain,
double_divide(X0,multiply(sP4_iProver_def,X1)) = multiply(double_divide(X0,X1),a1),
inference(superposition,[status(thm)],[c_6848,c_6500]) ).
cnf(c_7425,plain,
multiply(sP4_iProver_def,inverse(X0)) = double_divide(a1,X0),
inference(superposition,[status(thm)],[c_3846,c_6500]) ).
cnf(c_7447,plain,
multiply(multiply(inverse(X0),X1),inverse(X1)) = inverse(X0),
inference(demodulation,[status(thm)],[c_1251,c_1958,c_6335]) ).
cnf(c_7459,plain,
multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(superposition,[status(thm)],[c_6334,c_7447]) ).
cnf(c_7473,plain,
double_divide(inverse(double_divide(X0,X1)),multiply(sP4_iProver_def,double_divide(X0,X1))) = a1,
inference(light_normalisation,[status(thm)],[c_3833,c_7131]) ).
cnf(c_7474,plain,
double_divide(multiply(X0,X1),multiply(sP4_iProver_def,double_divide(X1,X0))) = a1,
inference(light_normalisation,[status(thm)],[c_7473,c_72]) ).
cnf(c_7533,plain,
double_divide(a1,multiply(X0,X1)) = multiply(sP4_iProver_def,double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_7474,c_6500]) ).
cnf(c_8282,plain,
double_divide(a1,multiply(X0,sP4_iProver_def)) = inverse(X0),
inference(superposition,[status(thm)],[c_5714,c_5812]) ).
cnf(c_8339,plain,
double_divide(double_divide(sP5_iProver_def,double_divide(double_divide(X0,multiply(sP4_iProver_def,X1)),sP4_iProver_def)),multiply(X0,a1)) = double_divide(sP5_iProver_def,double_divide(X1,sP4_iProver_def)),
inference(light_normalisation,[status(thm)],[c_424,c_7267]) ).
cnf(c_8340,plain,
double_divide(double_divide(a1,multiply(multiply(sP4_iProver_def,X0),X1)),multiply(X1,a1)) = multiply(sP4_iProver_def,X0),
inference(demodulation,[status(thm)],[c_8339,c_7072,c_7533]) ).
cnf(c_10039,plain,
double_divide(a1,double_divide(X0,X1)) = multiply(sP4_iProver_def,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_72,c_7425]) ).
cnf(c_10104,plain,
double_divide(double_divide(a1,sP4_iProver_def),multiply(inverse(X0),a1)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_7459,c_8340]) ).
cnf(c_10117,plain,
double_divide(sP5_iProver_def,double_divide(X0,sP4_iProver_def)) = multiply(sP4_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_10104,c_319,c_7157]) ).
cnf(c_12034,plain,
double_divide(double_divide(a1,double_divide(X0,double_divide(X1,X2))),multiply(X1,a1)) = multiply(inverse(X0),X2),
inference(demodulation,[status(thm)],[c_2184,c_7072,c_10039,c_10117]) ).
cnf(c_12079,plain,
double_divide(double_divide(a1,double_divide(X0,double_divide(sP4_iProver_def,X1))),sP5_iProver_def) = multiply(inverse(X0),X1),
inference(superposition,[status(thm)],[c_89,c_12034]) ).
cnf(c_12514,plain,
double_divide(X0,inverse(X1)) = multiply(inverse(X0),X1),
inference(demodulation,[status(thm)],[c_12079,c_6499,c_7267,c_7533,c_8282]) ).
cnf(c_12527,plain,
double_divide(inverse(X0),inverse(X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_6334,c_12514]) ).
cnf(c_16604,plain,
double_divide(inverse(X0),multiply(X1,X2)) = multiply(X0,double_divide(X2,X1)),
inference(superposition,[status(thm)],[c_72,c_12527]) ).
cnf(c_16886,plain,
multiply(b3,double_divide(sP0_iProver_def,double_divide(X0,a3))) = X0,
inference(demodulation,[status(thm)],[c_6844,c_16604]) ).
cnf(c_16891,plain,
multiply(b3,double_divide(sP0_iProver_def,X0)) = double_divide(a3,X0),
inference(superposition,[status(thm)],[c_6500,c_16886]) ).
cnf(c_16914,plain,
double_divide(a3,inverse(sP1_iProver_def)) = multiply(b3,c3),
inference(superposition,[status(thm)],[c_6493,c_16891]) ).
cnf(c_16924,plain,
double_divide(a3,inverse(sP1_iProver_def)) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_16914,c_86]) ).
cnf(c_17123,plain,
multiply(a3,sP2_iProver_def) = inverse(inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_16924,c_7098]) ).
cnf(c_17131,plain,
inverse(inverse(sP1_iProver_def)) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_17123,c_87]) ).
cnf(c_17136,plain,
sP1_iProver_def = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_17131,c_6334]) ).
cnf(c_17137,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_17136,c_5867]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP080-1 : TPTP v8.2.0. Bugfixed v2.3.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 08:19:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.87/1.64 % SZS status Started for theBenchmark.p
% 7.87/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 7.87/1.64
% 7.87/1.64 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.87/1.64
% 7.87/1.64 ------ iProver source info
% 7.87/1.64
% 7.87/1.64 git: date: 2024-06-12 09:56:46 +0000
% 7.87/1.64 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.87/1.64 git: non_committed_changes: false
% 7.87/1.64
% 7.87/1.64 ------ Parsing...successful
% 7.87/1.64
% 7.87/1.64
% 7.87/1.64
% 7.87/1.64 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.87/1.64
% 7.87/1.64 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.87/1.64
% 7.87/1.64 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.87/1.64 ------ Proving...
% 7.87/1.64 ------ Problem Properties
% 7.87/1.64
% 7.87/1.64
% 7.87/1.64 clauses 12
% 7.87/1.64 conjectures 1
% 7.87/1.64 EPR 1
% 7.87/1.64 Horn 12
% 7.87/1.64 unary 11
% 7.87/1.64 binary 0
% 7.87/1.64 lits 14
% 7.87/1.64 lits eq 14
% 7.87/1.64 fd_pure 0
% 7.87/1.64 fd_pseudo 0
% 7.87/1.64 fd_cond 0
% 7.87/1.64 fd_pseudo_cond 0
% 7.87/1.64 AC symbols 0
% 7.87/1.64
% 7.87/1.64 ------ Schedule dynamic 5 is on
% 7.87/1.64
% 7.87/1.64 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.87/1.64
% 7.87/1.64
% 7.87/1.64 ------
% 7.87/1.64 Current options:
% 7.87/1.64 ------
% 7.87/1.64
% 7.87/1.64
% 7.87/1.64
% 7.87/1.64
% 7.87/1.64 ------ Proving...
% 7.87/1.64
% 7.87/1.64
% 7.87/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 7.87/1.64
% 7.87/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.87/1.65
% 7.87/1.66
%------------------------------------------------------------------------------