TSTP Solution File: RNG063+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG063+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 20:24:51 EDT 2022
% Result : Theorem 22.55s 4.25s
% Output : CNFRefutation 22.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of clauses : 66 ( 34 unt; 0 nHn; 66 RR)
% Number of literals : 120 ( 42 equ; 62 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 45 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_14) ).
cnf(i_0_31,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_31) ).
cnf(i_0_98,hypothesis,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_98) ).
cnf(i_0_92,hypothesis,
sdtasdt0(xR,xS) = xN,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_92) ).
cnf(i_0_93,hypothesis,
aScalar0(xN),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_93) ).
cnf(i_0_91,hypothesis,
aScalar0(xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_91) ).
cnf(i_0_87,hypothesis,
aScalar0(xR),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_87) ).
cnf(i_0_23,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_23) ).
cnf(i_0_86,hypothesis,
sdtasdt0(xC,xG) = xR,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_86) ).
cnf(i_0_83,hypothesis,
aScalar0(xG),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_83) ).
cnf(i_0_75,hypothesis,
aScalar0(xC),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_75) ).
cnf(i_0_26,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_26) ).
cnf(i_0_101,hypothesis,
sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_101) ).
cnf(i_0_30,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_30) ).
cnf(i_0_17,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_17) ).
cnf(i_0_102,negated_conjecture,
sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_102) ).
cnf(i_0_16,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_16) ).
cnf(i_0_22,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_22) ).
cnf(i_0_18,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_18) ).
cnf(i_0_12,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_12) ).
cnf(i_0_13,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_13) ).
cnf(i_0_96,hypothesis,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-j9lqh2k1/input.p',i_0_96) ).
cnf(c_0_125,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
i_0_14 ).
cnf(c_0_126,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_31 ).
cnf(c_0_127,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_128,hypothesis,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
i_0_98 ).
cnf(c_0_129,hypothesis,
sdtasdt0(xR,xS) = xN,
i_0_92 ).
cnf(c_0_130,hypothesis,
aScalar0(xN),
i_0_93 ).
cnf(c_0_131,hypothesis,
aScalar0(xS),
i_0_91 ).
cnf(c_0_132,hypothesis,
aScalar0(xR),
i_0_87 ).
cnf(c_0_133,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_23 ).
cnf(c_0_134,hypothesis,
sdtasdt0(xC,xG) = xR,
i_0_86 ).
cnf(c_0_135,hypothesis,
aScalar0(xG),
i_0_83 ).
cnf(c_0_136,hypothesis,
aScalar0(xC),
i_0_75 ).
cnf(c_0_137,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_26 ).
cnf(c_0_138,hypothesis,
sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
i_0_101 ).
cnf(c_0_139,hypothesis,
aScalar0(smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]),c_0_130]),c_0_131]),c_0_132])]) ).
cnf(c_0_140,hypothesis,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_133,c_0_130]) ).
cnf(c_0_141,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_30 ).
cnf(c_0_142,hypothesis,
sdtasdt0(xC,smndt0(xG)) = smndt0(xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_134]),c_0_135]),c_0_136])]) ).
cnf(c_0_143,hypothesis,
( sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),sdtpldt0(smndt0(xN),X1)) = sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),X1)
| ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139])]) ).
cnf(c_0_144,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
i_0_17 ).
cnf(c_0_145,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X2,smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_126,c_0_140]) ).
cnf(c_0_146,hypothesis,
sdtasdt0(smndt0(xR),xS) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_129]),c_0_131]),c_0_132])]) ).
cnf(c_0_147,hypothesis,
aScalar0(smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_142]),c_0_134]),c_0_132]),c_0_135]),c_0_136])]) ).
cnf(c_0_148,negated_conjecture,
sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
i_0_102 ).
cnf(c_0_149,plain,
( sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),sz0z00)
| ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_130])]) ).
cnf(c_0_150,hypothesis,
sdtasdt0(xS,smndt0(smndt0(xR))) = smndt0(smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]),c_0_131])]) ).
cnf(c_0_151,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
i_0_16 ).
cnf(c_0_152,hypothesis,
sdtasdt0(xS,xR) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_140]),c_0_132]),c_0_131])]) ).
cnf(c_0_153,negated_conjecture,
( sdtpldt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),sz0z00),xN) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))
| ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN))) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_154,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
i_0_22 ).
cnf(c_0_155,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
i_0_18 ).
cnf(c_0_156,plain,
smndt0(smndt0(xN)) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]),c_0_132])]) ).
cnf(c_0_157,plain,
( sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),xN) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))
| ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN))) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_158,plain,
sdtpldt0(smndt0(xN),xN) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_139])]) ).
cnf(c_0_159,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sz0z00) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))
| ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_137]),c_0_158]),c_0_130]),c_0_139])]) ).
cnf(c_0_160,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_12 ).
cnf(c_0_161,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_13 ).
cnf(c_0_162,hypothesis,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
i_0_96 ).
cnf(c_0_163,plain,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),sz0z00) != sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_139])]) ).
cnf(c_0_164,hypothesis,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS)) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_165,plain,
~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(spm,[status(thm)],[c_0_163,c_0_154]) ).
cnf(c_0_166,plain,
aScalar0(sdtasdt0(xS,xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_125]),c_0_131])]) ).
cnf(c_0_167,plain,
~ aScalar0(sdtasdt0(xR,xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_160]),c_0_166])]) ).
cnf(c_0_168,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_161]),c_0_132])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : RNG063+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n020.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 20:07:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 22.55/4.25 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 22.55/4.25 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 30; version: 991; iters: 150)
% 22.55/4.25 # Preprocessing time : 1.195 s
% 22.55/4.25 # Presaturation interreduction done
% 22.55/4.25
% 22.55/4.25 # Proof found!
% 22.55/4.25 # SZS status Theorem
% 22.55/4.25 # SZS output start CNFRefutation
% See solution above
% 22.55/4.25 # Training examples: 0 positive, 0 negative
% 22.55/4.25
% 22.55/4.25 # -------------------------------------------------
% 22.55/4.25 # User time : 1.705 s
% 22.55/4.25 # System time : 0.147 s
% 22.55/4.25 # Total time : 1.852 s
% 22.55/4.25 # ...preprocessing : 1.195 s
% 22.55/4.25 # ...main loop : 0.657 s
% 22.55/4.25 # Maximum resident set size: 186468 pages
% 22.55/4.25
%------------------------------------------------------------------------------