TSTP Solution File: GRP583-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP583-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 02:22:59 EDT 2024
% Result : Unsatisfiable 8.20s 1.69s
% Output : CNFRefutation 8.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
double_divide(double_divide(X0,X1),identity) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,plain,
double_divide(X0,identity) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
cnf(c_52,plain,
double_divide(X0,inverse(X0)) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
cnf(c_53,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(c_68,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
inference(demodulation,[status(thm)],[c_50,c_51]) ).
cnf(c_69,plain,
double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[c_49,c_51]) ).
cnf(c_77,plain,
multiply(a3,b3) = sP0_iProver_def,
definition ).
cnf(c_78,plain,
multiply(sP0_iProver_def,c3) = sP1_iProver_def,
definition ).
cnf(c_79,plain,
multiply(b3,c3) = sP2_iProver_def,
definition ).
cnf(c_80,plain,
multiply(a3,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_81,negated_conjecture,
sP1_iProver_def != sP3_iProver_def,
inference(demodulation,[status(thm)],[c_53,c_79,c_80,c_77,c_78]) ).
cnf(c_133,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_51,c_68]) ).
cnf(c_134,plain,
multiply(inverse(X0),X0) = inverse(identity),
inference(superposition,[status(thm)],[c_52,c_68]) ).
cnf(c_135,plain,
double_divide(double_divide(X0,X1),multiply(X1,X0)) = identity,
inference(superposition,[status(thm)],[c_68,c_52]) ).
cnf(c_139,plain,
multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_68,c_133]) ).
cnf(c_140,plain,
multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(superposition,[status(thm)],[c_133,c_133]) ).
cnf(c_142,plain,
double_divide(inverse(X0),multiply(identity,X0)) = identity,
inference(superposition,[status(thm)],[c_133,c_52]) ).
cnf(c_146,plain,
double_divide(double_divide(X0,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X0)))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c_51,c_69]) ).
cnf(c_147,plain,
double_divide(double_divide(X0,double_divide(identity,double_divide(X1,double_divide(inverse(identity),X0)))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c_52,c_69]) ).
cnf(c_148,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,inverse(X0)))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c_51,c_69]) ).
cnf(c_149,plain,
double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),double_divide(X1,identity))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c_52,c_69]) ).
cnf(c_152,plain,
multiply(inverse(identity),double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))) = inverse(X2),
inference(superposition,[status(thm)],[c_69,c_68]) ).
cnf(c_159,plain,
multiply(multiply(X0,X1),double_divide(X1,X0)) = inverse(identity),
inference(superposition,[status(thm)],[c_68,c_134]) ).
cnf(c_164,plain,
double_divide(multiply(identity,X0),multiply(identity,inverse(X0))) = identity,
inference(superposition,[status(thm)],[c_133,c_142]) ).
cnf(c_341,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X0,inverse(identity)))),inverse(identity)) = X0,
inference(superposition,[status(thm)],[c_51,c_146]) ).
cnf(c_419,plain,
double_divide(double_divide(multiply(identity,inverse(X0)),double_divide(double_divide(identity,multiply(identity,X0)),double_divide(X1,identity))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c_164,c_69]) ).
cnf(c_497,plain,
multiply(inverse(identity),double_divide(X0,double_divide(identity,double_divide(X1,double_divide(inverse(identity),X0))))) = inverse(X1),
inference(superposition,[status(thm)],[c_52,c_152]) ).
cnf(c_557,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)) = identity,
inference(superposition,[status(thm)],[c_52,c_341]) ).
cnf(c_558,plain,
double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(double_divide(identity,double_divide(inverse(identity),X2)),inverse(identity)),
inference(superposition,[status(thm)],[c_69,c_341]) ).
cnf(c_569,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X0)),inverse(identity)) = double_divide(identity,double_divide(inverse(identity),double_divide(X0,inverse(identity)))),
inference(superposition,[status(thm)],[c_341,c_341]) ).
cnf(c_602,plain,
double_divide(identity,multiply(identity,identity)) = identity,
inference(demodulation,[status(thm)],[c_557,c_51,c_52,c_133,c_569]) ).
cnf(c_1288,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X0,inverse(inverse(identity))))),inverse(identity)) = X0,
inference(superposition,[status(thm)],[c_51,c_147]) ).
cnf(c_1545,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X0,multiply(identity,identity)))),inverse(identity)) = X0,
inference(demodulation,[status(thm)],[c_1288,c_133]) ).
cnf(c_1547,plain,
double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = inverse(identity),
inference(superposition,[status(thm)],[c_142,c_1545]) ).
cnf(c_1548,plain,
double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = identity,
inference(superposition,[status(thm)],[c_602,c_1545]) ).
cnf(c_1565,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),inverse(identity)) = X0,
inference(superposition,[status(thm)],[c_52,c_148]) ).
cnf(c_1584,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X0,X1)),double_divide(X2,multiply(X1,X0)))),inverse(identity)) = X2,
inference(superposition,[status(thm)],[c_68,c_148]) ).
cnf(c_1666,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm)],[c_1547,c_1548]) ).
cnf(c_1707,plain,
multiply(multiply(X0,X1),double_divide(X1,X0)) = identity,
inference(demodulation,[status(thm)],[c_159,c_1666]) ).
cnf(c_1739,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_1666,c_133]) ).
cnf(c_1740,plain,
double_divide(identity,identity) = identity,
inference(superposition,[status(thm)],[c_1666,c_52]) ).
cnf(c_1829,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity) = X0,
inference(light_normalisation,[status(thm)],[c_1565,c_1666]) ).
cnf(c_1830,plain,
multiply(multiply(X0,identity),identity) = X0,
inference(demodulation,[status(thm)],[c_1829,c_51,c_68]) ).
cnf(c_1833,plain,
double_divide(double_divide(identity,multiply(X0,identity)),X0) = identity,
inference(superposition,[status(thm)],[c_1830,c_135]) ).
cnf(c_1855,plain,
double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),double_divide(X1,identity))),identity) = X1,
inference(light_normalisation,[status(thm)],[c_149,c_1666]) ).
cnf(c_1856,plain,
multiply(double_divide(double_divide(identity,X0),inverse(X1)),inverse(X0)) = X1,
inference(demodulation,[status(thm)],[c_1855,c_51,c_68]) ).
cnf(c_1857,plain,
multiply(identity,inverse(X0)) = double_divide(identity,X0),
inference(superposition,[status(thm)],[c_52,c_1856]) ).
cnf(c_1861,plain,
multiply(double_divide(double_divide(identity,X0),identity),inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_1666,c_1856]) ).
cnf(c_1865,plain,
multiply(double_divide(double_divide(identity,identity),inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_1666,c_1856]) ).
cnf(c_1866,plain,
multiply(double_divide(double_divide(identity,double_divide(X0,X1)),inverse(X2)),multiply(X1,X0)) = X2,
inference(superposition,[status(thm)],[c_68,c_1856]) ).
cnf(c_1870,plain,
multiply(double_divide(identity,inverse(X0)),identity) = X0,
inference(light_normalisation,[status(thm)],[c_1865,c_1740]) ).
cnf(c_1875,plain,
inverse(multiply(identity,X0)) = double_divide(identity,X0),
inference(demodulation,[status(thm)],[c_140,c_1857]) ).
cnf(c_1922,plain,
double_divide(identity,double_divide(X0,X1)) = multiply(identity,multiply(X1,X0)),
inference(superposition,[status(thm)],[c_68,c_1857]) ).
cnf(c_1938,plain,
double_divide(identity,inverse(X0)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_1870,c_1830]) ).
cnf(c_1957,plain,
double_divide(identity,double_divide(X0,X1)) = inverse(inverse(multiply(X1,X0))),
inference(superposition,[status(thm)],[c_139,c_1875]) ).
cnf(c_1996,plain,
double_divide(identity,multiply(identity,X0)) = multiply(inverse(X0),identity),
inference(superposition,[status(thm)],[c_133,c_1938]) ).
cnf(c_1997,plain,
double_divide(identity,double_divide(identity,X0)) = multiply(multiply(identity,X0),identity),
inference(superposition,[status(thm)],[c_1875,c_1938]) ).
cnf(c_2000,plain,
multiply(inverse(X0),identity) = inverse(multiply(X0,identity)),
inference(superposition,[status(thm)],[c_1938,c_68]) ).
cnf(c_2053,plain,
double_divide(identity,multiply(inverse(X0),identity)) = multiply(multiply(X0,identity),identity),
inference(superposition,[status(thm)],[c_2000,c_1938]) ).
cnf(c_2068,plain,
double_divide(identity,multiply(inverse(X0),identity)) = X0,
inference(light_normalisation,[status(thm)],[c_2053,c_1830]) ).
cnf(c_2226,plain,
double_divide(identity,multiply(multiply(X0,X1),identity)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_68,c_2068]) ).
cnf(c_2227,plain,
double_divide(identity,multiply(multiply(identity,X0),identity)) = inverse(X0),
inference(superposition,[status(thm)],[c_133,c_2068]) ).
cnf(c_2228,plain,
double_divide(identity,multiply(double_divide(identity,X0),identity)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1875,c_2068]) ).
cnf(c_2234,plain,
double_divide(identity,double_divide(identity,double_divide(identity,X0))) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_2227,c_1997]) ).
cnf(c_2271,plain,
multiply(X0,double_divide(identity,multiply(X0,identity))) = identity,
inference(superposition,[status(thm)],[c_1830,c_1707]) ).
cnf(c_2498,plain,
double_divide(identity,multiply(sP0_iProver_def,identity)) = double_divide(b3,a3),
inference(superposition,[status(thm)],[c_77,c_2226]) ).
cnf(c_2499,plain,
double_divide(identity,multiply(sP2_iProver_def,identity)) = double_divide(c3,b3),
inference(superposition,[status(thm)],[c_79,c_2226]) ).
cnf(c_2500,plain,
double_divide(identity,multiply(sP1_iProver_def,identity)) = double_divide(c3,sP0_iProver_def),
inference(superposition,[status(thm)],[c_78,c_2226]) ).
cnf(c_2501,plain,
double_divide(identity,multiply(sP3_iProver_def,identity)) = double_divide(sP2_iProver_def,a3),
inference(superposition,[status(thm)],[c_80,c_2226]) ).
cnf(c_2504,plain,
double_divide(identity,multiply(double_divide(identity,X0),identity)) = double_divide(inverse(X0),identity),
inference(superposition,[status(thm)],[c_1857,c_2226]) ).
cnf(c_2530,plain,
double_divide(inverse(X0),identity) = multiply(identity,X0),
inference(light_normalisation,[status(thm)],[c_2504,c_2228]) ).
cnf(c_3000,plain,
multiply(multiply(X0,identity),inverse(X0)) = identity,
inference(demodulation,[status(thm)],[c_1861,c_51,c_68]) ).
cnf(c_3003,plain,
multiply(X0,inverse(multiply(X0,identity))) = identity,
inference(superposition,[status(thm)],[c_1830,c_3000]) ).
cnf(c_3016,plain,
multiply(X0,multiply(inverse(X0),identity)) = identity,
inference(light_normalisation,[status(thm)],[c_3003,c_2000]) ).
cnf(c_3050,plain,
double_divide(multiply(inverse(X0),identity),X0) = double_divide(identity,multiply(identity,identity)),
inference(superposition,[status(thm)],[c_3016,c_2226]) ).
cnf(c_3070,plain,
double_divide(multiply(inverse(X0),identity),X0) = identity,
inference(light_normalisation,[status(thm)],[c_3050,c_1739,c_1740]) ).
cnf(c_3145,plain,
double_divide(multiply(multiply(identity,X0),identity),inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_133,c_3070]) ).
cnf(c_3160,plain,
double_divide(double_divide(identity,double_divide(identity,X0)),inverse(X0)) = identity,
inference(light_normalisation,[status(thm)],[c_3145,c_1997]) ).
cnf(c_3220,plain,
double_divide(identity,double_divide(identity,double_divide(X0,X1))) = multiply(inverse(multiply(X1,X0)),identity),
inference(superposition,[status(thm)],[c_1922,c_1996]) ).
cnf(c_4817,plain,
multiply(identity,multiply(X0,identity)) = X0,
inference(superposition,[status(thm)],[c_3160,c_1866]) ).
cnf(c_5160,plain,
double_divide(identity,double_divide(identity,X0)) = X0,
inference(demodulation,[status(thm)],[c_4817,c_1922]) ).
cnf(c_5165,plain,
double_divide(identity,multiply(X0,identity)) = inverse(X0),
inference(superposition,[status(thm)],[c_1938,c_5160]) ).
cnf(c_5170,plain,
double_divide(identity,multiply(inverse(X0),identity)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1996,c_5160]) ).
cnf(c_5171,plain,
multiply(inverse(X0),identity) = double_divide(identity,X0),
inference(superposition,[status(thm)],[c_2068,c_5160]) ).
cnf(c_5199,plain,
multiply(identity,X0) = X0,
inference(light_normalisation,[status(thm)],[c_5170,c_2068]) ).
cnf(c_5201,plain,
multiply(X0,inverse(X0)) = identity,
inference(demodulation,[status(thm)],[c_2271,c_5165]) ).
cnf(c_5202,plain,
double_divide(inverse(X0),X0) = identity,
inference(demodulation,[status(thm)],[c_1833,c_5165]) ).
cnf(c_5203,plain,
inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(demodulation,[status(thm)],[c_2226,c_5165]) ).
cnf(c_5205,plain,
double_divide(b3,a3) = inverse(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_2498,c_5165]) ).
cnf(c_5206,plain,
double_divide(c3,sP0_iProver_def) = inverse(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_2500,c_5165]) ).
cnf(c_5207,plain,
double_divide(c3,b3) = inverse(sP2_iProver_def),
inference(demodulation,[status(thm)],[c_2499,c_5165]) ).
cnf(c_5208,plain,
double_divide(sP2_iProver_def,a3) = inverse(sP3_iProver_def),
inference(demodulation,[status(thm)],[c_2501,c_5165]) ).
cnf(c_5240,plain,
double_divide(X0,identity) = double_divide(identity,X0),
inference(demodulation,[status(thm)],[c_1875,c_5203]) ).
cnf(c_5242,plain,
double_divide(identity,X0) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_5240,c_51]) ).
cnf(c_5267,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_133,c_5199]) ).
cnf(c_5319,plain,
double_divide(multiply(X0,X1),double_divide(X1,X0)) = identity,
inference(superposition,[status(thm)],[c_68,c_5202]) ).
cnf(c_5368,plain,
double_divide(double_divide(multiply(identity,inverse(X0)),double_divide(inverse(X0),double_divide(X1,identity))),identity) = X1,
inference(light_normalisation,[status(thm)],[c_419,c_1666,c_5199,c_5242]) ).
cnf(c_5369,plain,
multiply(double_divide(inverse(X0),inverse(X1)),inverse(X0)) = X1,
inference(demodulation,[status(thm)],[c_5368,c_51,c_68,c_5199]) ).
cnf(c_5380,plain,
multiply(double_divide(X0,inverse(X1)),X0) = X1,
inference(superposition,[status(thm)],[c_5267,c_5369]) ).
cnf(c_5512,plain,
multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_5267,c_5380]) ).
cnf(c_5534,plain,
multiply(inverse(sP0_iProver_def),b3) = inverse(a3),
inference(superposition,[status(thm)],[c_5205,c_5512]) ).
cnf(c_5535,plain,
multiply(inverse(sP2_iProver_def),c3) = inverse(b3),
inference(superposition,[status(thm)],[c_5207,c_5512]) ).
cnf(c_5536,plain,
multiply(inverse(sP1_iProver_def),c3) = inverse(sP0_iProver_def),
inference(superposition,[status(thm)],[c_5206,c_5512]) ).
cnf(c_5537,plain,
multiply(inverse(sP3_iProver_def),sP2_iProver_def) = inverse(a3),
inference(superposition,[status(thm)],[c_5208,c_5512]) ).
cnf(c_5552,plain,
multiply(identity,double_divide(X0,double_divide(identity,double_divide(X1,inverse(X0))))) = inverse(X1),
inference(light_normalisation,[status(thm)],[c_497,c_1666,c_5242]) ).
cnf(c_5553,plain,
double_divide(X0,multiply(inverse(X0),X1)) = inverse(X1),
inference(demodulation,[status(thm)],[c_5552,c_68,c_5199,c_5242]) ).
cnf(c_5559,plain,
double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),X2)) = inverse(X2),
inference(superposition,[status(thm)],[c_68,c_5553]) ).
cnf(c_5567,plain,
multiply(multiply(inverse(X0),X1),X0) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_5553,c_68]) ).
cnf(c_5583,plain,
double_divide(b3,inverse(sP0_iProver_def)) = inverse(inverse(a3)),
inference(superposition,[status(thm)],[c_5534,c_5203]) ).
cnf(c_5594,plain,
double_divide(sP2_iProver_def,inverse(b3)) = inverse(c3),
inference(superposition,[status(thm)],[c_5535,c_5553]) ).
cnf(c_5600,plain,
double_divide(sP1_iProver_def,inverse(sP0_iProver_def)) = inverse(c3),
inference(superposition,[status(thm)],[c_5536,c_5553]) ).
cnf(c_5633,plain,
double_divide(sP3_iProver_def,inverse(a3)) = inverse(sP2_iProver_def),
inference(superposition,[status(thm)],[c_5537,c_5553]) ).
cnf(c_5678,plain,
multiply(inverse(b3),sP2_iProver_def) = inverse(inverse(c3)),
inference(superposition,[status(thm)],[c_5594,c_68]) ).
cnf(c_5715,plain,
multiply(inverse(sP0_iProver_def),sP1_iProver_def) = inverse(inverse(c3)),
inference(superposition,[status(thm)],[c_5600,c_68]) ).
cnf(c_5753,plain,
multiply(inverse(a3),sP3_iProver_def) = inverse(inverse(sP2_iProver_def)),
inference(superposition,[status(thm)],[c_5633,c_68]) ).
cnf(c_5785,plain,
double_divide(b3,inverse(sP0_iProver_def)) = a3,
inference(demodulation,[status(thm)],[c_5583,c_5267]) ).
cnf(c_5860,plain,
multiply(inverse(b3),sP2_iProver_def) = c3,
inference(demodulation,[status(thm)],[c_5678,c_5267]) ).
cnf(c_5866,plain,
double_divide(b3,c3) = inverse(sP2_iProver_def),
inference(superposition,[status(thm)],[c_5860,c_5553]) ).
cnf(c_5871,plain,
multiply(inverse(sP0_iProver_def),sP1_iProver_def) = c3,
inference(demodulation,[status(thm)],[c_5715,c_5267]) ).
cnf(c_5877,plain,
double_divide(sP0_iProver_def,c3) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_5871,c_5553]) ).
cnf(c_5882,plain,
multiply(inverse(a3),sP3_iProver_def) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_5753,c_5267]) ).
cnf(c_5888,plain,
double_divide(a3,sP2_iProver_def) = inverse(sP3_iProver_def),
inference(superposition,[status(thm)],[c_5882,c_5553]) ).
cnf(c_5923,plain,
multiply(inverse(sP2_iProver_def),b3) = inverse(c3),
inference(superposition,[status(thm)],[c_5866,c_5512]) ).
cnf(c_5969,plain,
multiply(sP2_iProver_def,a3) = inverse(inverse(sP3_iProver_def)),
inference(superposition,[status(thm)],[c_5888,c_68]) ).
cnf(c_6032,plain,
double_divide(b3,inverse(sP2_iProver_def)) = inverse(inverse(c3)),
inference(superposition,[status(thm)],[c_5923,c_5203]) ).
cnf(c_6140,plain,
multiply(sP2_iProver_def,a3) = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_5969,c_5267]) ).
cnf(c_6150,plain,
multiply(multiply(inverse(X0),X1),X0) = X1,
inference(demodulation,[status(thm)],[c_5567,c_5267]) ).
cnf(c_6168,plain,
multiply(multiply(multiply(X0,X1),X2),double_divide(X1,X0)) = X2,
inference(superposition,[status(thm)],[c_68,c_6150]) ).
cnf(c_6446,plain,
double_divide(double_divide(X0,X1),identity) = inverse(inverse(multiply(X1,X0))),
inference(superposition,[status(thm)],[c_5201,c_5559]) ).
cnf(c_6506,plain,
double_divide(double_divide(X0,X1),identity) = double_divide(identity,double_divide(X0,X1)),
inference(light_normalisation,[status(thm)],[c_6446,c_1957]) ).
cnf(c_6830,plain,
double_divide(b3,inverse(sP2_iProver_def)) = c3,
inference(demodulation,[status(thm)],[c_6032,c_5267]) ).
cnf(c_7099,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X0,X1)),double_divide(X2,multiply(X1,X0)))),identity) = X2,
inference(light_normalisation,[status(thm)],[c_1584,c_1666]) ).
cnf(c_7100,plain,
double_divide(multiply(X0,X1),double_divide(X2,multiply(X0,X1))) = X2,
inference(demodulation,[status(thm)],[c_7099,c_68,c_3220,c_5171,c_5203,c_5242,c_6506]) ).
cnf(c_7176,plain,
double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_6168,c_7100]) ).
cnf(c_7397,plain,
double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(double_divide(identity,double_divide(identity,X2)),identity),
inference(light_normalisation,[status(thm)],[c_558,c_1666]) ).
cnf(c_7398,plain,
double_divide(X0,double_divide(inverse(X1),double_divide(X2,double_divide(X1,X0)))) = inverse(X2),
inference(demodulation,[status(thm)],[c_7397,c_2234,c_5242,c_6506]) ).
cnf(c_7452,plain,
multiply(double_divide(inverse(X0),double_divide(X1,double_divide(X0,X2))),X2) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_7398,c_68]) ).
cnf(c_7694,plain,
multiply(double_divide(inverse(X0),double_divide(X1,double_divide(X0,X2))),X2) = X1,
inference(demodulation,[status(thm)],[c_7452,c_5267]) ).
cnf(c_7699,plain,
multiply(double_divide(multiply(X0,X1),double_divide(X2,double_divide(double_divide(X1,X0),X3))),X3) = X2,
inference(superposition,[status(thm)],[c_68,c_7694]) ).
cnf(c_7704,plain,
multiply(double_divide(inverse(X0),identity),X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_5319,c_7694]) ).
cnf(c_7751,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(light_normalisation,[status(thm)],[c_7704,c_2530,c_5199]) ).
cnf(c_8031,plain,
double_divide(inverse(sP0_iProver_def),a3) = b3,
inference(superposition,[status(thm)],[c_5785,c_7176]) ).
cnf(c_8057,plain,
double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_7176,c_7176]) ).
cnf(c_8159,plain,
multiply(X0,double_divide(multiply(X1,X2),double_divide(X3,double_divide(double_divide(X2,X1),X0)))) = X3,
inference(demodulation,[status(thm)],[c_7699,c_7751]) ).
cnf(c_8194,plain,
multiply(X0,double_divide(multiply(identity,X1),double_divide(X2,double_divide(inverse(X1),X0)))) = X2,
inference(superposition,[status(thm)],[c_51,c_8159]) ).
cnf(c_8587,plain,
multiply(X0,double_divide(X1,double_divide(X2,double_divide(inverse(X1),X0)))) = X2,
inference(demodulation,[status(thm)],[c_8194,c_5199]) ).
cnf(c_8606,plain,
multiply(a3,double_divide(sP0_iProver_def,double_divide(X0,b3))) = X0,
inference(superposition,[status(thm)],[c_8031,c_8587]) ).
cnf(c_9456,plain,
inverse(multiply(X0,X1)) = double_divide(X0,X1),
inference(superposition,[status(thm)],[c_7751,c_5203]) ).
cnf(c_9873,plain,
double_divide(inverse(X0),X1) = multiply(inverse(X1),X0),
inference(superposition,[status(thm)],[c_5553,c_8057]) ).
cnf(c_10719,plain,
double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_9456,c_5203]) ).
cnf(c_11100,plain,
multiply(a3,double_divide(sP0_iProver_def,double_divide(b3,X0))) = X0,
inference(superposition,[status(thm)],[c_10719,c_8606]) ).
cnf(c_11669,plain,
double_divide(inverse(X0),inverse(X1)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_5267,c_9873]) ).
cnf(c_11678,plain,
double_divide(inverse(X0),X1) = multiply(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_9873,c_7751]) ).
cnf(c_11759,plain,
multiply(a3,double_divide(sP0_iProver_def,c3)) = inverse(sP2_iProver_def),
inference(superposition,[status(thm)],[c_6830,c_11100]) ).
cnf(c_11769,plain,
multiply(a3,inverse(sP1_iProver_def)) = inverse(sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_11759,c_5877]) ).
cnf(c_11782,plain,
double_divide(sP1_iProver_def,inverse(a3)) = inverse(sP2_iProver_def),
inference(demodulation,[status(thm)],[c_11769,c_10719,c_11678]) ).
cnf(c_11784,plain,
double_divide(inverse(a3),inverse(sP2_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_11782,c_7176]) ).
cnf(c_11798,plain,
sP1_iProver_def = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_11784,c_6140,c_11669]) ).
cnf(c_11799,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11798,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP583-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 23:45:48 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running UEQ theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.20/1.69 % SZS status Started for theBenchmark.p
% 8.20/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 8.20/1.69
% 8.20/1.69 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.20/1.69
% 8.20/1.69 ------ iProver source info
% 8.20/1.69
% 8.20/1.69 git: date: 2024-05-02 19:28:25 +0000
% 8.20/1.69 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.20/1.69 git: non_committed_changes: false
% 8.20/1.69
% 8.20/1.69 ------ Parsing...successful
% 8.20/1.69
% 8.20/1.69
% 8.20/1.69
% 8.20/1.69 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.20/1.69
% 8.20/1.69 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.20/1.69
% 8.20/1.69 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.20/1.69 ------ Proving...
% 8.20/1.69 ------ Problem Properties
% 8.20/1.69
% 8.20/1.69
% 8.20/1.69 clauses 9
% 8.20/1.69 conjectures 1
% 8.20/1.69 EPR 1
% 8.20/1.69 Horn 9
% 8.20/1.69 unary 9
% 8.20/1.69 binary 0
% 8.20/1.69 lits 9
% 8.20/1.69 lits eq 9
% 8.20/1.69 fd_pure 0
% 8.20/1.69 fd_pseudo 0
% 8.20/1.69 fd_cond 0
% 8.20/1.69 fd_pseudo_cond 0
% 8.20/1.69 AC symbols 0
% 8.20/1.69
% 8.20/1.69 ------ Input Options Time Limit: Unbounded
% 8.20/1.69
% 8.20/1.69
% 8.20/1.69 ------
% 8.20/1.69 Current options:
% 8.20/1.69 ------
% 8.20/1.69
% 8.20/1.69
% 8.20/1.69
% 8.20/1.69
% 8.20/1.69 ------ Proving...
% 8.20/1.69
% 8.20/1.69
% 8.20/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 8.20/1.69
% 8.20/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.20/1.69
% 8.20/1.70
%------------------------------------------------------------------------------