TSTP Solution File: RNG100+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG100+2 : TPTP v8.1.0. Released v4.0.0.
% 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 20:24:59 EDT 2022
% Result : Theorem 17.78s 3.66s
% Output : CNFRefutation 17.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of clauses : 63 ( 17 unt; 9 nHn; 63 RR)
% Number of literals : 140 ( 19 equ; 73 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_101,negated_conjecture,
( sdtasdt0(xc,esk21_1(X1)) = X1
| ~ aElementOf0(X1,slsdtgt0(xc)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hjfoq13t/input.p',i_0_101) ).
cnf(i_0_99,negated_conjecture,
aElementOf0(esk22_0,slsdtgt0(xc)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hjfoq13t/input.p',i_0_99) ).
cnf(i_0_102,negated_conjecture,
( aElement0(esk21_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xc)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hjfoq13t/input.p',i_0_102) ).
cnf(i_0_89,plain,
( aElementOf0(X1,X2)
| X2 != slsdtgt0(X3)
| sdtasdt0(X3,X4) != X1
| ~ aElement0(X3)
| ~ aElement0(X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hjfoq13t/input.p',i_0_89) ).
cnf(i_0_18,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hjfoq13t/input.p',i_0_18) ).
cnf(i_0_93,hypothesis,
aElement0(xc),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hjfoq13t/input.p',i_0_93) ).
cnf(i_0_5,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hjfoq13t/input.p',i_0_5) ).
cnf(i_0_98,negated_conjecture,
( aElement0(esk24_0)
| aElementOf0(esk23_0,slsdtgt0(xc)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hjfoq13t/input.p',i_0_98) ).
cnf(i_0_14,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hjfoq13t/input.p',i_0_14) ).
cnf(i_0_26,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hjfoq13t/input.p',i_0_26) ).
cnf(i_0_103,negated_conjecture,
aSet0(slsdtgt0(xc)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hjfoq13t/input.p',i_0_103) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hjfoq13t/input.p',i_0_7) ).
cnf(i_0_97,negated_conjecture,
( aElementOf0(esk23_0,slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),slsdtgt0(xc)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hjfoq13t/input.p',i_0_97) ).
cnf(i_0_13,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hjfoq13t/input.p',i_0_13) ).
cnf(i_0_6,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hjfoq13t/input.p',i_0_6) ).
cnf(i_0_96,negated_conjecture,
( aElement0(esk24_0)
| ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),slsdtgt0(xc)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hjfoq13t/input.p',i_0_96) ).
cnf(i_0_95,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),slsdtgt0(xc)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hjfoq13t/input.p',i_0_95) ).
cnf(c_0_121,negated_conjecture,
( sdtasdt0(xc,esk21_1(X1)) = X1
| ~ aElementOf0(X1,slsdtgt0(xc)) ),
i_0_101 ).
cnf(c_0_122,negated_conjecture,
aElementOf0(esk22_0,slsdtgt0(xc)),
i_0_99 ).
cnf(c_0_123,negated_conjecture,
( aElement0(esk21_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xc)) ),
i_0_102 ).
cnf(c_0_124,plain,
( aElementOf0(X1,X2)
| X2 != slsdtgt0(X3)
| sdtasdt0(X3,X4) != X1
| ~ aElement0(X3)
| ~ aElement0(X4) ),
i_0_89 ).
cnf(c_0_125,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_18 ).
cnf(c_0_126,negated_conjecture,
sdtasdt0(xc,esk21_1(esk22_0)) = esk22_0,
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_127,negated_conjecture,
aElement0(esk21_1(esk22_0)),
inference(spm,[status(thm)],[c_0_123,c_0_122]) ).
cnf(c_0_128,hypothesis,
aElement0(xc),
i_0_93 ).
cnf(c_0_129,plain,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(X1))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_124])]) ).
cnf(c_0_130,negated_conjecture,
( sdtasdt0(xc,sdtpldt0(X1,esk21_1(esk22_0))) = sdtpldt0(sdtasdt0(xc,X1),esk22_0)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]),c_0_128])]) ).
cnf(c_0_131,plain,
( aElementOf0(sdtpldt0(sdtasdt0(xc,X1),esk22_0),slsdtgt0(xc))
| ~ aElement0(sdtpldt0(X1,esk21_1(esk22_0)))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_128])]) ).
cnf(c_0_132,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_5 ).
cnf(c_0_133,negated_conjecture,
( aElement0(esk24_0)
| aElementOf0(esk23_0,slsdtgt0(xc)) ),
i_0_98 ).
cnf(c_0_134,plain,
( aElementOf0(sdtpldt0(sdtasdt0(xc,X1),esk22_0),slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_127])]) ).
cnf(c_0_135,negated_conjecture,
( sdtasdt0(xc,esk21_1(esk23_0)) = esk23_0
| aElement0(esk24_0) ),
inference(spm,[status(thm)],[c_0_121,c_0_133]) ).
cnf(c_0_136,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_14 ).
cnf(c_0_137,negated_conjecture,
( aElementOf0(sdtpldt0(esk23_0,esk22_0),slsdtgt0(xc))
| aElement0(esk24_0)
| ~ aElement0(esk21_1(esk23_0)) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_138,negated_conjecture,
( aElement0(esk21_1(esk23_0))
| aElement0(esk24_0) ),
inference(spm,[status(thm)],[c_0_123,c_0_133]) ).
cnf(c_0_139,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_26 ).
cnf(c_0_140,negated_conjecture,
aSet0(slsdtgt0(xc)),
i_0_103 ).
cnf(c_0_141,negated_conjecture,
( sdtasdt0(xc,sdtasdt0(esk21_1(esk22_0),X1)) = sdtasdt0(esk22_0,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_126]),c_0_127]),c_0_128])]) ).
cnf(c_0_142,negated_conjecture,
( aElementOf0(sdtpldt0(esk23_0,esk22_0),slsdtgt0(xc))
| aElement0(esk24_0) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_143,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_7 ).
cnf(c_0_144,negated_conjecture,
aElement0(esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_122]),c_0_140])]) ).
cnf(c_0_145,negated_conjecture,
( aElementOf0(esk23_0,slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),slsdtgt0(xc)) ),
i_0_97 ).
cnf(c_0_146,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_13 ).
cnf(c_0_147,plain,
( aElementOf0(sdtasdt0(esk22_0,X1),slsdtgt0(xc))
| ~ aElement0(sdtasdt0(esk21_1(esk22_0),X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_141]),c_0_128])]) ).
cnf(c_0_148,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_6 ).
cnf(c_0_149,plain,
( aElementOf0(sdtpldt0(esk22_0,esk23_0),slsdtgt0(xc))
| aElement0(esk24_0)
| ~ aElement0(esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144])]) ).
cnf(c_0_150,negated_conjecture,
( aElement0(esk23_0)
| aElement0(esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_133]),c_0_140])]) ).
cnf(c_0_151,negated_conjecture,
( aElementOf0(esk23_0,slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(esk22_0,esk24_0),slsdtgt0(xc))
| ~ aElement0(esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_144])]) ).
cnf(c_0_152,plain,
( aElementOf0(sdtasdt0(esk22_0,X1),slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_127])]) ).
cnf(c_0_153,negated_conjecture,
( aElement0(esk24_0)
| ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),slsdtgt0(xc)) ),
i_0_96 ).
cnf(c_0_154,negated_conjecture,
( aElementOf0(sdtpldt0(esk22_0,esk23_0),slsdtgt0(xc))
| aElement0(esk24_0) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_155,negated_conjecture,
( aElementOf0(esk23_0,slsdtgt0(xc))
| ~ aElement0(esk24_0) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_156,negated_conjecture,
aElement0(esk24_0),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_157,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),slsdtgt0(xc)) ),
i_0_95 ).
cnf(c_0_158,negated_conjecture,
aElementOf0(esk23_0,slsdtgt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_156])]) ).
cnf(c_0_159,negated_conjecture,
( ~ aElementOf0(sdtasdt0(esk22_0,esk24_0),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),slsdtgt0(xc))
| ~ aElement0(esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_146]),c_0_144])]) ).
cnf(c_0_160,negated_conjecture,
sdtasdt0(xc,esk21_1(esk23_0)) = esk23_0,
inference(spm,[status(thm)],[c_0_121,c_0_158]) ).
cnf(c_0_161,negated_conjecture,
aElement0(esk21_1(esk23_0)),
inference(spm,[status(thm)],[c_0_123,c_0_158]) ).
cnf(c_0_162,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),slsdtgt0(xc))
| ~ aElement0(esk24_0) ),
inference(spm,[status(thm)],[c_0_159,c_0_152]) ).
cnf(c_0_163,plain,
aElementOf0(sdtpldt0(esk23_0,esk22_0),slsdtgt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_160]),c_0_161])]) ).
cnf(c_0_164,plain,
aElement0(esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_158]),c_0_140])]) ).
cnf(c_0_165,negated_conjecture,
~ aElementOf0(sdtpldt0(esk22_0,esk23_0),slsdtgt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_156])]) ).
cnf(c_0_166,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_143]),c_0_144]),c_0_164])]),c_0_165]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG100+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % 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 : Mon May 30 16:15:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected complete mode:
% 17.78/3.66 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 17.78/3.66 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 84; version: 991; iters: 150)
% 17.78/3.66 # Preprocessing time : 0.858 s
% 17.78/3.66 # Presaturation interreduction done
% 17.78/3.66
% 17.78/3.66 # Proof found!
% 17.78/3.66 # SZS status Theorem
% 17.78/3.66 # SZS output start CNFRefutation
% See solution above
% 17.78/3.66 # Training examples: 0 positive, 0 negative
% 17.78/3.66
% 17.78/3.66 # -------------------------------------------------
% 17.78/3.66 # User time : 1.147 s
% 17.78/3.66 # System time : 0.133 s
% 17.78/3.66 # Total time : 1.280 s
% 17.78/3.66 # ...preprocessing : 0.858 s
% 17.78/3.66 # ...main loop : 0.422 s
% 17.78/3.66 # Maximum resident set size: 167400 pages
% 17.78/3.66
%------------------------------------------------------------------------------