TSTP Solution File: NUN085+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUN085+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 16:24:58 EDT 2022
% Result : Theorem 16.52s 3.51s
% Output : CNFRefutation 16.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 24
% Syntax : Number of clauses : 89 ( 47 unt; 0 nHn; 70 RR)
% Number of literals : 159 ( 0 equ; 80 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 145 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_17,plain,
( id(X1,esk5_0)
| ~ r1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_17) ).
cnf(i_0_59,negated_conjecture,
r1(esk25_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_59) ).
cnf(i_0_48,plain,
( id(X1,X2)
| ~ id(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_48) ).
cnf(i_0_50,plain,
( id(X1,X2)
| ~ id(X3,X2)
| ~ id(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_50) ).
cnf(i_0_62,negated_conjecture,
r1(esk24_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_62) ).
cnf(i_0_33,plain,
r1(esk13_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_33) ).
cnf(i_0_34,plain,
id(esk12_1(X1),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_34) ).
cnf(i_0_57,plain,
( r2(X1,X2)
| ~ id(X3,X2)
| ~ id(X4,X1)
| ~ r2(X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_57) ).
cnf(i_0_13,plain,
id(esk2_2(X1,X2),esk1_2(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_13) ).
cnf(i_0_31,plain,
( id(X1,esk11_2(X2,X3))
| ~ r3(X2,X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_31) ).
cnf(i_0_49,plain,
( ~ r1(X1)
| ~ id(X1,X2)
| ~ r2(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_49) ).
cnf(i_0_43,plain,
id(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_43) ).
cnf(i_0_56,plain,
( r2(X1,X2)
| ~ id(X2,X3)
| ~ id(X1,X4)
| ~ r2(X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_56) ).
cnf(i_0_61,negated_conjecture,
r2(esk24_0,esk22_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_61) ).
cnf(i_0_10,plain,
r2(esk4_2(X1,X2),esk1_2(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_10) ).
cnf(i_0_53,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_53) ).
cnf(i_0_26,plain,
( id(X1,esk10_1(X2))
| ~ r2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_26) ).
cnf(i_0_11,plain,
r3(X1,esk3_2(X1,X2),esk2_2(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_11) ).
cnf(i_0_60,negated_conjecture,
id(esk21_0,esk25_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_60) ).
cnf(i_0_14,plain,
( r1(X1)
| ~ id(X1,esk5_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_14) ).
cnf(i_0_3,plain,
( r3(X1,X2,X3)
| ~ id(X4,X3)
| ~ id(X5,X2)
| ~ id(X6,X1)
| ~ r3(X6,X5,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_3) ).
cnf(i_0_63,negated_conjecture,
r3(esk23_0,esk22_0,esk21_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_63) ).
cnf(i_0_12,plain,
r2(X1,esk3_2(X2,X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_12) ).
cnf(i_0_64,negated_conjecture,
r1(esk23_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e1y174v6/lgb.p',i_0_64) ).
cnf(c_0_89,plain,
( id(X1,esk5_0)
| ~ r1(X1) ),
i_0_17 ).
cnf(c_0_90,negated_conjecture,
r1(esk25_0),
i_0_59 ).
cnf(c_0_91,plain,
( id(X1,X2)
| ~ id(X2,X1) ),
i_0_48 ).
cnf(c_0_92,negated_conjecture,
id(esk25_0,esk5_0),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_93,plain,
( id(X1,X2)
| ~ id(X3,X2)
| ~ id(X1,X3) ),
i_0_50 ).
cnf(c_0_94,negated_conjecture,
id(esk5_0,esk25_0),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_95,negated_conjecture,
r1(esk24_0),
i_0_62 ).
cnf(c_0_96,negated_conjecture,
( id(X1,esk25_0)
| ~ id(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_97,negated_conjecture,
id(esk24_0,esk5_0),
inference(spm,[status(thm)],[c_0_89,c_0_95]) ).
cnf(c_0_98,plain,
r1(esk13_1(X1)),
i_0_33 ).
cnf(c_0_99,plain,
id(esk12_1(X1),X1),
i_0_34 ).
cnf(c_0_100,plain,
( r2(X1,X2)
| ~ id(X3,X2)
| ~ id(X4,X1)
| ~ r2(X4,X3) ),
i_0_57 ).
cnf(c_0_101,negated_conjecture,
id(esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_102,plain,
id(esk2_2(X1,X2),esk1_2(X1,X2)),
i_0_13 ).
cnf(c_0_103,plain,
( id(X1,esk11_2(X2,X3))
| ~ r3(X2,X3,X1) ),
i_0_31 ).
cnf(c_0_104,plain,
( ~ r1(X1)
| ~ id(X1,X2)
| ~ r2(X3,X2) ),
i_0_49 ).
cnf(c_0_105,plain,
id(X1,X1),
i_0_43 ).
cnf(c_0_106,plain,
id(esk13_1(X1),esk5_0),
inference(spm,[status(thm)],[c_0_89,c_0_98]) ).
cnf(c_0_107,plain,
( r2(X1,X2)
| ~ id(X2,X3)
| ~ id(X1,X4)
| ~ r2(X4,X3) ),
i_0_56 ).
cnf(c_0_108,plain,
id(X1,esk12_1(X1)),
inference(spm,[status(thm)],[c_0_91,c_0_99]) ).
cnf(c_0_109,plain,
( r2(esk25_0,X1)
| ~ id(X2,X1)
| ~ r2(esk24_0,X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_110,negated_conjecture,
r2(esk24_0,esk22_0),
i_0_61 ).
cnf(c_0_111,plain,
( id(X1,esk1_2(X2,X3))
| ~ id(X1,esk2_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_93,c_0_102]) ).
cnf(c_0_112,plain,
( id(esk11_2(X1,X2),X3)
| ~ r3(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_91,c_0_103]) ).
cnf(c_0_113,plain,
( ~ r1(X1)
| ~ r2(X2,X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_114,plain,
r2(esk4_2(X1,X2),esk1_2(X1,X2)),
i_0_10 ).
cnf(c_0_115,plain,
id(esk13_1(X1),esk25_0),
inference(spm,[status(thm)],[c_0_96,c_0_106]) ).
cnf(c_0_116,plain,
( r2(X1,X2)
| ~ id(X1,X3)
| ~ r2(X3,esk12_1(X2)) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_117,negated_conjecture,
( r2(esk25_0,X1)
| ~ id(esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_118,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
i_0_53 ).
cnf(c_0_119,plain,
( id(esk11_2(X1,X2),esk1_2(X3,X4))
| ~ r3(X1,X2,esk2_2(X3,X4)) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_120,plain,
~ r1(esk1_2(X1,X2)),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_121,plain,
( id(X1,esk10_1(X2))
| ~ r2(X2,X1) ),
i_0_26 ).
cnf(c_0_122,plain,
( r2(X1,esk12_1(X2))
| ~ id(X1,X3)
| ~ r2(X3,X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_99]) ).
cnf(c_0_123,plain,
id(esk25_0,esk13_1(X1)),
inference(spm,[status(thm)],[c_0_91,c_0_115]) ).
cnf(c_0_124,plain,
( r2(X1,X2)
| ~ id(esk22_0,esk12_1(X2))
| ~ id(X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_125,plain,
( ~ r1(esk11_2(X1,X2))
| ~ r3(X1,X2,esk2_2(X3,X4)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).
cnf(c_0_126,plain,
r3(X1,esk3_2(X1,X2),esk2_2(X1,X2)),
i_0_11 ).
cnf(c_0_127,negated_conjecture,
id(esk21_0,esk25_0),
i_0_60 ).
cnf(c_0_128,plain,
( id(X1,esk10_1(X2))
| ~ id(X1,X3)
| ~ r2(X2,X3) ),
inference(spm,[status(thm)],[c_0_93,c_0_121]) ).
cnf(c_0_129,plain,
( r2(esk25_0,esk12_1(X1))
| ~ r2(esk13_1(X2),X1) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_130,plain,
( r2(X1,esk22_0)
| ~ id(X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_124,c_0_108]) ).
cnf(c_0_131,plain,
~ r1(esk11_2(X1,esk3_2(X1,X2))),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_132,plain,
( r1(X1)
| ~ id(X1,esk5_0) ),
i_0_14 ).
cnf(c_0_133,negated_conjecture,
id(esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_91,c_0_127]) ).
cnf(c_0_134,plain,
( id(esk10_1(X1),X2)
| ~ r2(X1,X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_121]) ).
cnf(c_0_135,plain,
( id(X1,esk10_1(X2))
| ~ r2(X2,esk12_1(X1)) ),
inference(spm,[status(thm)],[c_0_128,c_0_108]) ).
cnf(c_0_136,plain,
r2(esk25_0,esk12_1(esk22_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_115])]) ).
cnf(c_0_137,plain,
~ id(esk11_2(X1,esk3_2(X1,X2)),esk5_0),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_138,plain,
( r3(X1,X2,X3)
| ~ id(X4,X3)
| ~ id(X5,X2)
| ~ id(X6,X1)
| ~ r3(X6,X5,X4) ),
i_0_3 ).
cnf(c_0_139,negated_conjecture,
r3(esk23_0,esk22_0,esk21_0),
i_0_63 ).
cnf(c_0_140,negated_conjecture,
r1(esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_133]),c_0_90])]) ).
cnf(c_0_141,plain,
( id(X1,X2)
| ~ id(X1,esk10_1(X3))
| ~ r2(X3,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_134]) ).
cnf(c_0_142,plain,
id(esk22_0,esk10_1(esk25_0)),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_143,plain,
~ r3(X1,esk3_2(X1,X2),esk5_0),
inference(spm,[status(thm)],[c_0_137,c_0_112]) ).
cnf(c_0_144,negated_conjecture,
( r3(X1,X2,X3)
| ~ id(esk23_0,X1)
| ~ id(esk22_0,X2)
| ~ id(esk21_0,X3) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_145,plain,
id(esk21_0,esk5_0),
inference(spm,[status(thm)],[c_0_89,c_0_140]) ).
cnf(c_0_146,plain,
( id(esk22_0,X1)
| ~ r2(esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_147,plain,
r2(X1,esk3_2(X2,X1)),
i_0_12 ).
cnf(c_0_148,negated_conjecture,
r1(esk23_0),
i_0_64 ).
cnf(c_0_149,negated_conjecture,
( ~ id(esk22_0,esk3_2(X1,X2))
| ~ id(esk23_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145])]) ).
cnf(c_0_150,plain,
id(esk22_0,esk3_2(X1,esk25_0)),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_151,negated_conjecture,
id(esk23_0,esk5_0),
inference(spm,[status(thm)],[c_0_89,c_0_148]) ).
cnf(c_0_152,negated_conjecture,
~ id(esk23_0,X1),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_153,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_151,c_0_152]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUN085+1 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n022.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 : Thu Jun 2 10:20:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 16.52/3.51 # ENIGMATIC: Solved by autoschedule-lgb:
% 16.52/3.51 # No SInE strategy applied
% 16.52/3.51 # Trying AutoSched0 for 150 seconds
% 16.52/3.51 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 16.52/3.51 # and selection function SelectComplexExceptUniqMaxHorn.
% 16.52/3.51 #
% 16.52/3.51 # Preprocessing time : 0.023 s
% 16.52/3.51 # Presaturation interreduction done
% 16.52/3.51
% 16.52/3.51 # Proof found!
% 16.52/3.51 # SZS status Theorem
% 16.52/3.51 # SZS output start CNFRefutation
% See solution above
% 16.52/3.51 # Training examples: 0 positive, 0 negative
% 16.52/3.51
% 16.52/3.51 # -------------------------------------------------
% 16.52/3.51 # User time : 1.064 s
% 16.52/3.51 # System time : 0.053 s
% 16.52/3.51 # Total time : 1.118 s
% 16.52/3.51 # Maximum resident set size: 7128 pages
% 16.52/3.51
%------------------------------------------------------------------------------