TSTP Solution File: PUZ075+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : PUZ075+1 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 : 600s
% DateTime : Mon Jul 18 18:08:28 EDT 2022
% Result : Theorem 5.40s 2.67s
% Output : CNFRefutation 5.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 37
% Syntax : Number of clauses : 110 ( 38 unt; 0 nHn; 110 RR)
% Number of literals : 184 ( 4 equ; 111 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 144 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_6,negated_conjecture,
~ adj(cell12,cell13),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_6) ).
cnf(i_0_4,plain,
( adj(X1,X2)
| ~ edge(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_4) ).
cnf(i_0_1,plain,
( edge(X1,X2)
| ~ epred36_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_1) ).
cnf(i_0_1341,plain,
( epred36_2(X1,X2)
| ~ epred35_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_1341) ).
cnf(i_0_1303,plain,
( epred35_2(X1,X2)
| ~ epred34_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_1303) ).
cnf(i_0_1265,plain,
( epred34_2(X1,X2)
| ~ epred33_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_1265) ).
cnf(i_0_1227,plain,
( epred33_2(X1,X2)
| ~ epred32_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_1227) ).
cnf(i_0_1189,plain,
( epred32_2(X1,X2)
| ~ epred31_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_1189) ).
cnf(i_0_1151,plain,
( epred31_2(X1,X2)
| ~ epred30_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_1151) ).
cnf(i_0_1113,plain,
( epred30_2(X1,X2)
| ~ epred29_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_1113) ).
cnf(i_0_1075,plain,
( epred29_2(X1,X2)
| ~ epred28_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_1075) ).
cnf(i_0_1037,plain,
( epred28_2(X1,X2)
| ~ epred27_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_1037) ).
cnf(i_0_999,plain,
( epred27_2(X1,X2)
| ~ epred26_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_999) ).
cnf(i_0_961,plain,
( epred26_2(X1,X2)
| ~ epred25_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_961) ).
cnf(i_0_923,plain,
( epred25_2(X1,X2)
| ~ epred24_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_923) ).
cnf(i_0_885,plain,
( epred24_2(X1,X2)
| ~ epred23_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_885) ).
cnf(i_0_847,plain,
( epred23_2(X1,X2)
| ~ epred22_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_847) ).
cnf(i_0_809,plain,
( epred22_2(X1,X2)
| ~ epred21_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_809) ).
cnf(i_0_771,plain,
( epred21_2(X1,X2)
| ~ epred20_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_771) ).
cnf(i_0_733,plain,
( epred20_2(X1,X2)
| ~ epred19_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_733) ).
cnf(i_0_695,plain,
( epred19_2(X1,X2)
| ~ epred18_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_695) ).
cnf(i_0_657,plain,
( epred18_2(X1,X2)
| ~ epred17_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_657) ).
cnf(i_0_619,plain,
( epred17_2(X1,X2)
| ~ epred16_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_619) ).
cnf(i_0_581,plain,
( epred16_2(X1,X2)
| ~ epred15_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_581) ).
cnf(i_0_543,plain,
( epred15_2(X1,X2)
| ~ epred14_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_543) ).
cnf(i_0_505,plain,
( epred14_2(X1,X2)
| ~ epred13_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_505) ).
cnf(i_0_467,plain,
( epred13_2(X1,X2)
| ~ epred12_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_467) ).
cnf(i_0_429,plain,
( epred12_2(X1,X2)
| ~ epred11_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_429) ).
cnf(i_0_391,plain,
( epred11_2(X1,X2)
| ~ epred10_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_391) ).
cnf(i_0_353,plain,
( epred10_2(X1,X2)
| ~ epred9_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_353) ).
cnf(i_0_315,plain,
( epred9_2(X1,X2)
| ~ epred8_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_315) ).
cnf(i_0_277,plain,
( epred8_2(X1,X2)
| ~ epred7_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_277) ).
cnf(i_0_239,plain,
( epred7_2(X1,X2)
| ~ epred6_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_239) ).
cnf(i_0_201,plain,
( epred6_2(X1,X2)
| ~ epred5_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_201) ).
cnf(i_0_163,plain,
( epred5_2(X1,X2)
| ~ epred4_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_163) ).
cnf(i_0_125,plain,
( epred4_2(X1,X2)
| ~ epred3_2(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_125) ).
cnf(i_0_86,plain,
( epred3_2(X1,X2)
| X1 != cell13
| X2 != cell12 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s8at6fou/input.p',i_0_86) ).
cnf(c_0_1379,negated_conjecture,
~ adj(cell12,cell13),
i_0_6 ).
cnf(c_0_1380,plain,
( adj(X1,X2)
| ~ edge(X1,X2) ),
i_0_4 ).
cnf(c_0_1381,negated_conjecture,
~ edge(cell12,cell13),
inference(spm,[status(thm)],[c_0_1379,c_0_1380]) ).
cnf(c_0_1382,plain,
( edge(X1,X2)
| ~ epred36_2(X2,X1) ),
i_0_1 ).
cnf(c_0_1383,negated_conjecture,
~ epred36_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1381,c_0_1382]) ).
cnf(c_0_1384,plain,
( epred36_2(X1,X2)
| ~ epred35_2(X1,X2) ),
i_0_1341 ).
cnf(c_0_1385,plain,
~ epred35_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1383,c_0_1384]) ).
cnf(c_0_1386,plain,
( epred35_2(X1,X2)
| ~ epred34_2(X1,X2) ),
i_0_1303 ).
cnf(c_0_1387,plain,
~ epred34_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1385,c_0_1386]) ).
cnf(c_0_1388,plain,
( epred34_2(X1,X2)
| ~ epred33_2(X1,X2) ),
i_0_1265 ).
cnf(c_0_1389,plain,
~ epred33_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1387,c_0_1388]) ).
cnf(c_0_1390,plain,
( epred33_2(X1,X2)
| ~ epred32_2(X1,X2) ),
i_0_1227 ).
cnf(c_0_1391,plain,
~ epred32_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1389,c_0_1390]) ).
cnf(c_0_1392,plain,
( epred32_2(X1,X2)
| ~ epred31_2(X1,X2) ),
i_0_1189 ).
cnf(c_0_1393,plain,
~ epred31_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1391,c_0_1392]) ).
cnf(c_0_1394,plain,
( epred31_2(X1,X2)
| ~ epred30_2(X1,X2) ),
i_0_1151 ).
cnf(c_0_1395,plain,
~ epred30_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1393,c_0_1394]) ).
cnf(c_0_1396,plain,
( epred30_2(X1,X2)
| ~ epred29_2(X1,X2) ),
i_0_1113 ).
cnf(c_0_1397,plain,
~ epred29_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1395,c_0_1396]) ).
cnf(c_0_1398,plain,
( epred29_2(X1,X2)
| ~ epred28_2(X1,X2) ),
i_0_1075 ).
cnf(c_0_1399,plain,
~ epred28_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1397,c_0_1398]) ).
cnf(c_0_1400,plain,
( epred28_2(X1,X2)
| ~ epred27_2(X1,X2) ),
i_0_1037 ).
cnf(c_0_1401,plain,
~ epred27_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1399,c_0_1400]) ).
cnf(c_0_1402,plain,
( epred27_2(X1,X2)
| ~ epred26_2(X1,X2) ),
i_0_999 ).
cnf(c_0_1403,plain,
~ epred26_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1401,c_0_1402]) ).
cnf(c_0_1404,plain,
( epred26_2(X1,X2)
| ~ epred25_2(X1,X2) ),
i_0_961 ).
cnf(c_0_1405,plain,
~ epred25_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1403,c_0_1404]) ).
cnf(c_0_1406,plain,
( epred25_2(X1,X2)
| ~ epred24_2(X1,X2) ),
i_0_923 ).
cnf(c_0_1407,plain,
~ epred24_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1405,c_0_1406]) ).
cnf(c_0_1408,plain,
( epred24_2(X1,X2)
| ~ epred23_2(X1,X2) ),
i_0_885 ).
cnf(c_0_1409,plain,
~ epred23_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1407,c_0_1408]) ).
cnf(c_0_1410,plain,
( epred23_2(X1,X2)
| ~ epred22_2(X1,X2) ),
i_0_847 ).
cnf(c_0_1411,plain,
~ epred22_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1409,c_0_1410]) ).
cnf(c_0_1412,plain,
( epred22_2(X1,X2)
| ~ epred21_2(X1,X2) ),
i_0_809 ).
cnf(c_0_1413,plain,
~ epred21_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1411,c_0_1412]) ).
cnf(c_0_1414,plain,
( epred21_2(X1,X2)
| ~ epred20_2(X1,X2) ),
i_0_771 ).
cnf(c_0_1415,plain,
~ epred20_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1413,c_0_1414]) ).
cnf(c_0_1416,plain,
( epred20_2(X1,X2)
| ~ epred19_2(X1,X2) ),
i_0_733 ).
cnf(c_0_1417,plain,
~ epred19_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1415,c_0_1416]) ).
cnf(c_0_1418,plain,
( epred19_2(X1,X2)
| ~ epred18_2(X1,X2) ),
i_0_695 ).
cnf(c_0_1419,plain,
~ epred18_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1417,c_0_1418]) ).
cnf(c_0_1420,plain,
( epred18_2(X1,X2)
| ~ epred17_2(X1,X2) ),
i_0_657 ).
cnf(c_0_1421,plain,
~ epred17_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1419,c_0_1420]) ).
cnf(c_0_1422,plain,
( epred17_2(X1,X2)
| ~ epred16_2(X1,X2) ),
i_0_619 ).
cnf(c_0_1423,plain,
~ epred16_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1421,c_0_1422]) ).
cnf(c_0_1424,plain,
( epred16_2(X1,X2)
| ~ epred15_2(X1,X2) ),
i_0_581 ).
cnf(c_0_1425,plain,
~ epred15_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1423,c_0_1424]) ).
cnf(c_0_1426,plain,
( epred15_2(X1,X2)
| ~ epred14_2(X1,X2) ),
i_0_543 ).
cnf(c_0_1427,plain,
~ epred14_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1425,c_0_1426]) ).
cnf(c_0_1428,plain,
( epred14_2(X1,X2)
| ~ epred13_2(X1,X2) ),
i_0_505 ).
cnf(c_0_1429,plain,
~ epred13_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1427,c_0_1428]) ).
cnf(c_0_1430,plain,
( epred13_2(X1,X2)
| ~ epred12_2(X1,X2) ),
i_0_467 ).
cnf(c_0_1431,plain,
~ epred12_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1429,c_0_1430]) ).
cnf(c_0_1432,plain,
( epred12_2(X1,X2)
| ~ epred11_2(X1,X2) ),
i_0_429 ).
cnf(c_0_1433,plain,
~ epred11_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1431,c_0_1432]) ).
cnf(c_0_1434,plain,
( epred11_2(X1,X2)
| ~ epred10_2(X1,X2) ),
i_0_391 ).
cnf(c_0_1435,plain,
~ epred10_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1433,c_0_1434]) ).
cnf(c_0_1436,plain,
( epred10_2(X1,X2)
| ~ epred9_2(X1,X2) ),
i_0_353 ).
cnf(c_0_1437,plain,
~ epred9_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1435,c_0_1436]) ).
cnf(c_0_1438,plain,
( epred9_2(X1,X2)
| ~ epred8_2(X1,X2) ),
i_0_315 ).
cnf(c_0_1439,plain,
~ epred8_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1437,c_0_1438]) ).
cnf(c_0_1440,plain,
( epred8_2(X1,X2)
| ~ epred7_2(X1,X2) ),
i_0_277 ).
cnf(c_0_1441,plain,
~ epred7_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1439,c_0_1440]) ).
cnf(c_0_1442,plain,
( epred7_2(X1,X2)
| ~ epred6_2(X1,X2) ),
i_0_239 ).
cnf(c_0_1443,plain,
~ epred6_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1441,c_0_1442]) ).
cnf(c_0_1444,plain,
( epred6_2(X1,X2)
| ~ epred5_2(X1,X2) ),
i_0_201 ).
cnf(c_0_1445,plain,
~ epred5_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1443,c_0_1444]) ).
cnf(c_0_1446,plain,
( epred5_2(X1,X2)
| ~ epred4_2(X1,X2) ),
i_0_163 ).
cnf(c_0_1447,plain,
~ epred4_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1445,c_0_1446]) ).
cnf(c_0_1448,plain,
( epred4_2(X1,X2)
| ~ epred3_2(X1,X2) ),
i_0_125 ).
cnf(c_0_1449,plain,
( epred3_2(X1,X2)
| X1 != cell13
| X2 != cell12 ),
i_0_86 ).
cnf(c_0_1450,plain,
~ epred3_2(cell13,cell12),
inference(spm,[status(thm)],[c_0_1447,c_0_1448]) ).
cnf(c_0_1451,plain,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_1449])]),c_0_1450]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : PUZ075+1 : TPTP v8.1.0. Released v3.5.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 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 : 600
% 0.12/0.33 % DateTime : Sat May 28 20:19:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 5.40/2.67 # ENIGMATIC: Solved by autoschedule:
% 5.40/2.67 # No SInE strategy applied
% 5.40/2.67 # Trying AutoSched0 for 150 seconds
% 5.40/2.67 # AutoSched0-Mode selected heuristic G_____0012_C18_F1_SE_CS_SP_S5PRR_RG_S04AN
% 5.40/2.67 # and selection function SelectComplexExceptUniqMaxHorn.
% 5.40/2.67 #
% 5.40/2.67 # Preprocessing time : 0.060 s
% 5.40/2.67
% 5.40/2.67 # Proof found!
% 5.40/2.67 # SZS status Theorem
% 5.40/2.67 # SZS output start CNFRefutation
% See solution above
% 5.40/2.67 # Training examples: 0 positive, 0 negative
% 5.40/2.67
% 5.40/2.67 # -------------------------------------------------
% 5.40/2.67 # User time : 0.081 s
% 5.40/2.67 # System time : 0.010 s
% 5.40/2.67 # Total time : 0.091 s
% 5.40/2.67 # Maximum resident set size: 7120 pages
% 5.40/2.67
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