TSTP Solution File: TOP051-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : TOP051-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 03:41:06 EDT 2024
% Result : Unsatisfiable 3.62s 1.09s
% Output : CNFRefutation 3.62s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
product(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle) ).
cnf(c_50,plain,
product(product(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle_01) ).
cnf(c_51,plain,
product(product(X0,X1),product(X2,X1)) = product(product(X0,X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle_02) ).
cnf(c_52,plain,
product(a1,a6) = a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot) ).
cnf(c_53,plain,
product(a2,a7) = a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_03) ).
cnf(c_54,plain,
product(a3,a1) = a4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_04) ).
cnf(c_55,plain,
product(a4,a10) = a5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_05) ).
cnf(c_56,plain,
product(a5,a9) = a6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_06) ).
cnf(c_57,plain,
product(a6,a2) = a7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_07) ).
cnf(c_58,plain,
product(a7,a3) = a8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_08) ).
cnf(c_59,plain,
product(a8,a6) = a9,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_09) ).
cnf(c_60,plain,
product(a9,a4) = a10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_10) ).
cnf(c_61,plain,
product(a10,a5) = a11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_11) ).
cnf(c_62,negated_conjecture,
tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) != tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(c_98,plain,
tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) = sP0_iProver_def,
definition ).
cnf(c_99,plain,
tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9) = sP1_iProver_def,
definition ).
cnf(c_100,negated_conjecture,
sP0_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_62,c_99,c_98]) ).
cnf(c_176,plain,
product(a2,a6) = a1,
inference(superposition,[status(thm)],[c_52,c_50]) ).
cnf(c_177,plain,
product(a3,a7) = a2,
inference(superposition,[status(thm)],[c_53,c_50]) ).
cnf(c_178,plain,
product(a4,a1) = a3,
inference(superposition,[status(thm)],[c_54,c_50]) ).
cnf(c_179,plain,
product(a5,a10) = a4,
inference(superposition,[status(thm)],[c_55,c_50]) ).
cnf(c_180,plain,
product(a6,a9) = a5,
inference(superposition,[status(thm)],[c_56,c_50]) ).
cnf(c_181,plain,
product(a7,a2) = a6,
inference(superposition,[status(thm)],[c_57,c_50]) ).
cnf(c_182,plain,
product(a8,a3) = a7,
inference(superposition,[status(thm)],[c_58,c_50]) ).
cnf(c_183,plain,
product(a9,a6) = a8,
inference(superposition,[status(thm)],[c_59,c_50]) ).
cnf(c_184,plain,
product(a10,a4) = a9,
inference(superposition,[status(thm)],[c_60,c_50]) ).
cnf(c_185,plain,
product(a11,a5) = a10,
inference(superposition,[status(thm)],[c_61,c_50]) ).
cnf(c_197,plain,
product(product(X0,X1),X0) = product(X0,product(X1,X0)),
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_200,plain,
product(product(a1,X0),a6) = product(a2,product(X0,a6)),
inference(superposition,[status(thm)],[c_52,c_51]) ).
cnf(c_201,plain,
product(product(a2,X0),a7) = product(a3,product(X0,a7)),
inference(superposition,[status(thm)],[c_53,c_51]) ).
cnf(c_202,plain,
product(product(a3,X0),a1) = product(a4,product(X0,a1)),
inference(superposition,[status(thm)],[c_54,c_51]) ).
cnf(c_205,plain,
product(product(a6,X0),a2) = product(a7,product(X0,a2)),
inference(superposition,[status(thm)],[c_57,c_51]) ).
cnf(c_206,plain,
product(product(a7,X0),a3) = product(a8,product(X0,a3)),
inference(superposition,[status(thm)],[c_58,c_51]) ).
cnf(c_207,plain,
product(product(a8,X0),a6) = product(a9,product(X0,a6)),
inference(superposition,[status(thm)],[c_59,c_51]) ).
cnf(c_361,plain,
product(a2,product(a7,a2)) = product(a3,a2),
inference(superposition,[status(thm)],[c_53,c_197]) ).
cnf(c_363,plain,
product(a4,product(a10,a4)) = product(a5,a4),
inference(superposition,[status(thm)],[c_55,c_197]) ).
cnf(c_365,plain,
product(a6,product(a2,a6)) = product(a7,a6),
inference(superposition,[status(thm)],[c_57,c_197]) ).
cnf(c_368,plain,
product(a9,product(a4,a9)) = product(a10,a9),
inference(superposition,[status(thm)],[c_60,c_197]) ).
cnf(c_369,plain,
product(a10,product(a5,a10)) = product(a11,a10),
inference(superposition,[status(thm)],[c_61,c_197]) ).
cnf(c_370,plain,
product(a2,product(a6,a2)) = product(a1,a2),
inference(superposition,[status(thm)],[c_176,c_197]) ).
cnf(c_371,plain,
product(a3,product(a7,a3)) = product(a2,a3),
inference(superposition,[status(thm)],[c_177,c_197]) ).
cnf(c_372,plain,
product(a4,product(a1,a4)) = product(a3,a4),
inference(superposition,[status(thm)],[c_178,c_197]) ).
cnf(c_374,plain,
product(a6,product(a9,a6)) = product(a5,a6),
inference(superposition,[status(thm)],[c_180,c_197]) ).
cnf(c_375,plain,
product(a7,product(a2,a7)) = product(a6,a7),
inference(superposition,[status(thm)],[c_181,c_197]) ).
cnf(c_376,plain,
product(a8,product(a3,a8)) = product(a7,a8),
inference(superposition,[status(thm)],[c_182,c_197]) ).
cnf(c_378,plain,
product(a10,product(a4,a10)) = product(a9,a10),
inference(superposition,[status(thm)],[c_184,c_197]) ).
cnf(c_389,plain,
product(a9,a10) = a11,
inference(light_normalisation,[status(thm)],[c_378,c_55,c_61]) ).
cnf(c_391,plain,
product(a6,a7) = a8,
inference(light_normalisation,[status(thm)],[c_375,c_53,c_58]) ).
cnf(c_392,plain,
product(a6,a8) = product(a5,a6),
inference(light_normalisation,[status(thm)],[c_374,c_183]) ).
cnf(c_394,plain,
product(a2,a3) = product(a3,a8),
inference(light_normalisation,[status(thm)],[c_371,c_58]) ).
cnf(c_395,plain,
product(a1,a2) = a3,
inference(light_normalisation,[status(thm)],[c_370,c_53,c_57]) ).
cnf(c_396,plain,
product(a11,a10) = a9,
inference(light_normalisation,[status(thm)],[c_369,c_179,c_184]) ).
cnf(c_398,plain,
product(a6,a1) = product(a7,a6),
inference(light_normalisation,[status(thm)],[c_365,c_176]) ).
cnf(c_399,plain,
product(a4,a9) = product(a5,a4),
inference(light_normalisation,[status(thm)],[c_363,c_184]) ).
cnf(c_400,plain,
product(a3,a2) = a1,
inference(light_normalisation,[status(thm)],[c_361,c_176,c_181]) ).
cnf(c_503,plain,
product(a9,product(a10,a9)) = product(a11,a9),
inference(superposition,[status(thm)],[c_389,c_197]) ).
cnf(c_510,plain,
product(a6,product(a7,a6)) = product(a8,a6),
inference(superposition,[status(thm)],[c_391,c_197]) ).
cnf(c_514,plain,
product(a6,product(a6,a1)) = a9,
inference(light_normalisation,[status(thm)],[c_510,c_59,c_398]) ).
cnf(c_531,plain,
product(a1,product(a2,a1)) = product(a3,a1),
inference(superposition,[status(thm)],[c_395,c_197]) ).
cnf(c_535,plain,
product(a1,product(a2,a1)) = a4,
inference(light_normalisation,[status(thm)],[c_531,c_54]) ).
cnf(c_633,plain,
product(product(a6,a1),a6) = a7,
inference(superposition,[status(thm)],[c_398,c_50]) ).
cnf(c_660,plain,
product(a9,product(a6,a1)) = a6,
inference(superposition,[status(thm)],[c_514,c_50]) ).
cnf(c_686,plain,
product(a2,product(a2,a6)) = product(a3,a6),
inference(superposition,[status(thm)],[c_395,c_200]) ).
cnf(c_693,plain,
product(a2,a1) = product(a3,a6),
inference(light_normalisation,[status(thm)],[c_686,c_176]) ).
cnf(c_845,plain,
product(a3,product(a6,a7)) = product(a1,a7),
inference(superposition,[status(thm)],[c_176,c_201]) ).
cnf(c_851,plain,
product(a1,a7) = product(a2,a3),
inference(light_normalisation,[status(thm)],[c_845,c_391,c_394]) ).
cnf(c_866,plain,
product(a8,product(a2,a3)) = product(a7,a8),
inference(light_normalisation,[status(thm)],[c_376,c_394]) ).
cnf(c_1043,plain,
product(a4,product(a7,a1)) = product(a2,a1),
inference(superposition,[status(thm)],[c_177,c_202]) ).
cnf(c_1173,plain,
product(a7,product(a7,a2)) = product(a8,a2),
inference(superposition,[status(thm)],[c_391,c_205]) ).
cnf(c_1180,plain,
product(a6,a1) = product(a8,a2),
inference(light_normalisation,[status(thm)],[c_1173,c_181,c_398]) ).
cnf(c_1195,plain,
product(a8,product(a2,a3)) = product(a6,a3),
inference(superposition,[status(thm)],[c_181,c_206]) ).
cnf(c_1204,plain,
product(a6,a3) = product(a7,a8),
inference(demodulation,[status(thm)],[c_866,c_1195]) ).
cnf(c_1322,plain,
product(a9,product(a3,a6)) = product(a7,a6),
inference(superposition,[status(thm)],[c_182,c_207]) ).
cnf(c_1328,plain,
product(product(a6,a1),a6) = product(a9,product(a2,a6)),
inference(superposition,[status(thm)],[c_1180,c_207]) ).
cnf(c_1335,plain,
product(a9,product(a2,a1)) = product(a6,a1),
inference(light_normalisation,[status(thm)],[c_1322,c_398,c_693]) ).
cnf(c_1338,plain,
product(a9,a1) = a7,
inference(light_normalisation,[status(thm)],[c_1328,c_176,c_633]) ).
cnf(c_1378,plain,
product(a7,a1) = a9,
inference(superposition,[status(thm)],[c_1338,c_50]) ).
cnf(c_1380,plain,
product(a2,a1) = product(a4,a9),
inference(demodulation,[status(thm)],[c_1043,c_1378]) ).
cnf(c_1382,plain,
product(a9,product(a2,a1)) = product(a10,a9),
inference(demodulation,[status(thm)],[c_368,c_1380]) ).
cnf(c_1383,plain,
product(a2,a1) = product(a5,a4),
inference(demodulation,[status(thm)],[c_399,c_1380]) ).
cnf(c_1384,plain,
product(a6,a1) = product(a10,a9),
inference(light_normalisation,[status(thm)],[c_1382,c_1335]) ).
cnf(c_1385,plain,
product(a9,product(a6,a1)) = product(a11,a9),
inference(demodulation,[status(thm)],[c_503,c_1384]) ).
cnf(c_1386,plain,
product(a11,a9) = a6,
inference(light_normalisation,[status(thm)],[c_1385,c_660]) ).
cnf(c_1399,plain,
product(a6,a9) = a11,
inference(superposition,[status(thm)],[c_1386,c_50]) ).
cnf(c_1401,plain,
a5 = a11,
inference(light_normalisation,[status(thm)],[c_1399,c_180]) ).
cnf(c_1408,plain,
product(a5,a10) = a9,
inference(demodulation,[status(thm)],[c_396,c_1401]) ).
cnf(c_1409,plain,
tuple(a2,a7,a6,a3,a8,a4,a5,a10,a5,a9) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_99,c_1401]) ).
cnf(c_1410,plain,
product(a5,a5) = a10,
inference(demodulation,[status(thm)],[c_185,c_1401]) ).
cnf(c_1412,plain,
a4 = a9,
inference(light_normalisation,[status(thm)],[c_1408,c_179]) ).
cnf(c_1413,plain,
product(a7,a1) = a4,
inference(demodulation,[status(thm)],[c_1378,c_1412]) ).
cnf(c_1425,plain,
product(a10,a4) = a4,
inference(demodulation,[status(thm)],[c_184,c_1412]) ).
cnf(c_1427,plain,
product(a6,a4) = a5,
inference(demodulation,[status(thm)],[c_180,c_1412]) ).
cnf(c_1430,plain,
tuple(a1,a6,a5,a2,a7,a3,a4,a4,a10,a8) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_98,c_1412]) ).
cnf(c_1431,plain,
product(a5,a4) = a6,
inference(demodulation,[status(thm)],[c_56,c_1412]) ).
cnf(c_1432,plain,
product(a2,a1) = a6,
inference(light_normalisation,[status(thm)],[c_1431,c_1383]) ).
cnf(c_1434,plain,
product(a3,a6) = a6,
inference(demodulation,[status(thm)],[c_693,c_1432]) ).
cnf(c_1436,plain,
product(a1,a6) = a4,
inference(demodulation,[status(thm)],[c_535,c_1432]) ).
cnf(c_1437,plain,
a2 = a4,
inference(light_normalisation,[status(thm)],[c_1436,c_52]) ).
cnf(c_1440,plain,
product(a2,product(a1,a2)) = product(a3,a2),
inference(demodulation,[status(thm)],[c_372,c_1437]) ).
cnf(c_1446,plain,
product(a2,a3) = a1,
inference(light_normalisation,[status(thm)],[c_1440,c_395,c_400]) ).
cnf(c_1449,plain,
product(a1,a7) = a1,
inference(demodulation,[status(thm)],[c_851,c_1446]) ).
cnf(c_1479,plain,
a2 = a9,
inference(light_normalisation,[status(thm)],[c_1412,c_1437]) ).
cnf(c_1481,plain,
a10 = a5,
inference(demodulation,[status(thm)],[c_1410,c_49]) ).
cnf(c_1484,plain,
product(a6,a8) = product(a10,a6),
inference(demodulation,[status(thm)],[c_392,c_1481]) ).
cnf(c_1486,plain,
product(a7,a1) = a2,
inference(light_normalisation,[status(thm)],[c_1413,c_1437]) ).
cnf(c_1487,plain,
product(a7,product(a1,a7)) = product(a2,a7),
inference(superposition,[status(thm)],[c_1486,c_197]) ).
cnf(c_1489,plain,
product(a2,a1) = a7,
inference(superposition,[status(thm)],[c_1486,c_50]) ).
cnf(c_1492,plain,
a6 = a7,
inference(light_normalisation,[status(thm)],[c_1489,c_1432]) ).
cnf(c_1494,plain,
a2 = a3,
inference(light_normalisation,[status(thm)],[c_1487,c_53,c_1449,c_1486]) ).
cnf(c_1497,plain,
product(a6,a3) = product(a6,a8),
inference(demodulation,[status(thm)],[c_1204,c_1492]) ).
cnf(c_1502,plain,
product(a6,a6) = a8,
inference(demodulation,[status(thm)],[c_391,c_1492]) ).
cnf(c_1507,plain,
product(a6,a3) = a8,
inference(demodulation,[status(thm)],[c_58,c_1492]) ).
cnf(c_1509,plain,
product(a2,a6) = a3,
inference(demodulation,[status(thm)],[c_53,c_1492]) ).
cnf(c_1510,plain,
a1 = a3,
inference(light_normalisation,[status(thm)],[c_1509,c_176]) ).
cnf(c_1516,plain,
product(a3,a6) = a2,
inference(demodulation,[status(thm)],[c_52,c_1510]) ).
cnf(c_1517,plain,
a6 = a2,
inference(light_normalisation,[status(thm)],[c_1516,c_1434]) ).
cnf(c_1518,plain,
a6 = a4,
inference(demodulation,[status(thm)],[c_1437,c_1517]) ).
cnf(c_1519,plain,
a6 = a9,
inference(demodulation,[status(thm)],[c_1479,c_1517]) ).
cnf(c_1587,plain,
a6 = a8,
inference(light_normalisation,[status(thm)],[c_1425,c_1484,c_1497,c_1507,c_1518]) ).
cnf(c_1589,plain,
a6 = a10,
inference(light_normalisation,[status(thm)],[c_1427,c_1481,c_1502,c_1518,c_1587]) ).
cnf(c_1591,plain,
a6 = a5,
inference(demodulation,[status(thm)],[c_1481,c_1589]) ).
cnf(c_1593,plain,
a6 = a3,
inference(light_normalisation,[status(thm)],[c_1494,c_1517]) ).
cnf(c_1594,plain,
a1 = a6,
inference(light_normalisation,[status(thm)],[c_1510,c_1593]) ).
cnf(c_1856,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_1409,c_1492,c_1517,c_1518,c_1519,c_1587,c_1589,c_1591,c_1593]) ).
cnf(c_1857,plain,
sP0_iProver_def = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_1430,c_1492,c_1517,c_1518,c_1587,c_1589,c_1591,c_1593,c_1594,c_1856]) ).
cnf(c_1858,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1857,c_100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : TOP051-1 : TPTP v8.1.2. Released v8.1.0.
% 0.08/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n027.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 21:40:05 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.41 Running UEQ theorem proving
% 0.15/0.41 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
% 3.62/1.09 % SZS status Started for theBenchmark.p
% 3.62/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 3.62/1.09
% 3.62/1.09 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.62/1.09
% 3.62/1.09 ------ iProver source info
% 3.62/1.09
% 3.62/1.09 git: date: 2024-05-02 19:28:25 +0000
% 3.62/1.09 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.62/1.09 git: non_committed_changes: false
% 3.62/1.09
% 3.62/1.09 ------ Parsing...successful
% 3.62/1.09
% 3.62/1.09
% 3.62/1.09
% 3.62/1.09 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.62/1.09
% 3.62/1.09 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.62/1.09
% 3.62/1.09 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.62/1.09 ------ Proving...
% 3.62/1.09 ------ Problem Properties
% 3.62/1.09
% 3.62/1.09
% 3.62/1.09 clauses 16
% 3.62/1.09 conjectures 1
% 3.62/1.09 EPR 1
% 3.62/1.09 Horn 16
% 3.62/1.09 unary 16
% 3.62/1.09 binary 0
% 3.62/1.09 lits 16
% 3.62/1.09 lits eq 16
% 3.62/1.09 fd_pure 0
% 3.62/1.09 fd_pseudo 0
% 3.62/1.09 fd_cond 0
% 3.62/1.09 fd_pseudo_cond 0
% 3.62/1.09 AC symbols 0
% 3.62/1.09
% 3.62/1.09 ------ Input Options Time Limit: Unbounded
% 3.62/1.09
% 3.62/1.09
% 3.62/1.09 ------
% 3.62/1.09 Current options:
% 3.62/1.09 ------
% 3.62/1.09
% 3.62/1.09
% 3.62/1.09
% 3.62/1.09
% 3.62/1.09 ------ Proving...
% 3.62/1.09
% 3.62/1.09
% 3.62/1.09 % SZS status Unsatisfiable for theBenchmark.p
% 3.62/1.09
% 3.62/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.62/1.09
% 3.62/1.10
%------------------------------------------------------------------------------