TSTP Solution File: RNG056+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG056+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 : 600s
% DateTime : Mon Jul 18 20:24:49 EDT 2022
% Result : Theorem 28.24s 4.94s
% Output : CNFRefutation 28.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of clauses : 81 ( 52 unt; 0 nHn; 81 RR)
% Number of literals : 138 ( 52 equ; 63 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 57 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_23,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_23) ).
cnf(i_0_93,hypothesis,
aScalar0(xN),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_93) ).
cnf(i_0_24,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_24) ).
cnf(i_0_84,hypothesis,
sdtasdt0(xA,xB) = xH,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_84) ).
cnf(i_0_73,hypothesis,
aScalar0(xB),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_73) ).
cnf(i_0_71,hypothesis,
aScalar0(xA),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_71) ).
cnf(i_0_82,hypothesis,
sdtasdt0(xB,xB) = xG,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_82) ).
cnf(i_0_13,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_13) ).
cnf(i_0_85,hypothesis,
aScalar0(xH),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_85) ).
cnf(i_0_83,hypothesis,
aScalar0(xG),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_83) ).
cnf(i_0_80,hypothesis,
sdtasdt0(xA,xA) = xF,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_80) ).
cnf(i_0_14,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/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/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_31) ).
cnf(i_0_90,hypothesis,
sdtasdt0(xF,xD) = xS,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_90) ).
cnf(i_0_77,hypothesis,
aScalar0(xD),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_77) ).
cnf(i_0_81,hypothesis,
aScalar0(xF),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_81) ).
cnf(i_0_96,negated_conjecture,
sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)) != xN,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_96) ).
cnf(i_0_75,hypothesis,
aScalar0(xC),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_75) ).
cnf(i_0_92,hypothesis,
sdtasdt0(xR,xS) = xN,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_92) ).
cnf(i_0_91,hypothesis,
aScalar0(xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_91) ).
cnf(i_0_87,hypothesis,
aScalar0(xR),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_87) ).
cnf(i_0_86,hypothesis,
sdtasdt0(xC,xG) = xR,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_86) ).
cnf(i_0_16,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6l6_x34m/input.p',i_0_16) ).
cnf(c_0_120,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_23 ).
cnf(c_0_121,hypothesis,
aScalar0(xN),
i_0_93 ).
cnf(c_0_122,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_24 ).
cnf(c_0_123,hypothesis,
sdtasdt0(xA,xB) = xH,
i_0_84 ).
cnf(c_0_124,hypothesis,
aScalar0(xB),
i_0_73 ).
cnf(c_0_125,hypothesis,
aScalar0(xA),
i_0_71 ).
cnf(c_0_126,hypothesis,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_127,hypothesis,
( sdtasdt0(xA,sdtasdt0(xB,X1)) = sdtasdt0(xH,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]),c_0_125])]) ).
cnf(c_0_128,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X2,sdtasdt0(X1,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_122,c_0_126]) ).
cnf(c_0_129,hypothesis,
( sdtasdt0(xA,sdtasdt0(X1,xB)) = sdtasdt0(xH,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_126]),c_0_124])]) ).
cnf(c_0_130,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X2,sdtasdt0(X1,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_122,c_0_128]) ).
cnf(c_0_131,hypothesis,
sdtasdt0(xB,xB) = xG,
i_0_82 ).
cnf(c_0_132,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_13 ).
cnf(c_0_133,hypothesis,
( sdtasdt0(X1,xH) = sdtasdt0(xH,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_123]),c_0_124]),c_0_125])]) ).
cnf(c_0_134,hypothesis,
aScalar0(xH),
i_0_85 ).
cnf(c_0_135,hypothesis,
sdtasdt0(xA,xG) = sdtasdt0(xH,xB),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_131]),c_0_124])]) ).
cnf(c_0_136,hypothesis,
aScalar0(xG),
i_0_83 ).
cnf(c_0_137,hypothesis,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X3,X2))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_130]),c_0_132]) ).
cnf(c_0_138,hypothesis,
sdtasdt0(xA,xA) = xF,
i_0_80 ).
cnf(c_0_139,hypothesis,
sdtasdt0(xA,sdtasdt0(xH,xB)) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_133]),c_0_134]),c_0_124])]) ).
cnf(c_0_140,plain,
aScalar0(sdtasdt0(xH,xB)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_135]),c_0_136]),c_0_125])]) ).
cnf(c_0_141,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X1,sdtasdt0(X3,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_122,c_0_137]) ).
cnf(c_0_142,hypothesis,
( sdtasdt0(xA,sdtasdt0(xA,X1)) = sdtasdt0(xF,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_138]),c_0_125])]) ).
cnf(c_0_143,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
i_0_14 ).
cnf(c_0_144,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_31 ).
cnf(c_0_145,hypothesis,
sdtasdt0(xF,xD) = xS,
i_0_90 ).
cnf(c_0_146,hypothesis,
aScalar0(xD),
i_0_77 ).
cnf(c_0_147,hypothesis,
aScalar0(xF),
i_0_81 ).
cnf(c_0_148,negated_conjecture,
sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)) != xN,
i_0_96 ).
cnf(c_0_149,hypothesis,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X2,sdtasdt0(X3,X1))
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_126]) ).
cnf(c_0_150,hypothesis,
aScalar0(xC),
i_0_75 ).
cnf(c_0_151,plain,
aScalar0(sdtasdt0(xH,xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_139]),c_0_140]),c_0_125])]) ).
cnf(c_0_152,hypothesis,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X3,X2),X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_141]),c_0_132]) ).
cnf(c_0_153,hypothesis,
sdtasdt0(xF,xG) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_135]),c_0_139]),c_0_136])]) ).
cnf(c_0_154,hypothesis,
sdtasdt0(xR,xS) = xN,
i_0_92 ).
cnf(c_0_155,hypothesis,
aScalar0(xS),
i_0_91 ).
cnf(c_0_156,hypothesis,
aScalar0(xR),
i_0_87 ).
cnf(c_0_157,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_132]) ).
cnf(c_0_158,hypothesis,
sdtasdt0(xF,smndt0(xD)) = smndt0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]),c_0_147])]) ).
cnf(c_0_159,negated_conjecture,
sdtasdt0(xD,sdtasdt0(sdtasdt0(xH,xH),xC)) != xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150]),c_0_146]),c_0_151])]) ).
cnf(c_0_160,hypothesis,
( sdtasdt0(X1,sdtasdt0(xG,xF)) = sdtasdt0(sdtasdt0(xH,xH),X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_136]),c_0_147])]) ).
cnf(c_0_161,hypothesis,
sdtasdt0(xC,xG) = xR,
i_0_86 ).
cnf(c_0_162,hypothesis,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_154]),c_0_155]),c_0_156])]) ).
cnf(c_0_163,plain,
aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_146]),c_0_147])]) ).
cnf(c_0_164,negated_conjecture,
sdtasdt0(xD,sdtasdt0(xC,sdtasdt0(xG,xF))) != xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_150])]) ).
cnf(c_0_165,hypothesis,
( sdtasdt0(xC,sdtasdt0(xG,X1)) = sdtasdt0(xR,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_161]),c_0_136]),c_0_150])]) ).
cnf(c_0_166,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
i_0_16 ).
cnf(c_0_167,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X2,smndt0(X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_144,c_0_126]) ).
cnf(c_0_168,plain,
sdtasdt0(xR,smndt0(smndt0(xS))) = smndt0(smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_162]),c_0_156])]),c_0_163])]) ).
cnf(c_0_169,hypothesis,
sdtasdt0(xD,sdtasdt0(xR,xF)) != xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_147])]) ).
cnf(c_0_170,hypothesis,
sdtasdt0(xD,xF) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_126]),c_0_147]),c_0_146])]) ).
cnf(c_0_171,plain,
( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_144]),c_0_132]) ).
cnf(c_0_172,hypothesis,
sdtasdt0(xS,smndt0(xR)) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_154]),c_0_156]),c_0_155])]) ).
cnf(c_0_173,plain,
smndt0(smndt0(xN)) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_166]),c_0_154]),c_0_155])]) ).
cnf(c_0_174,hypothesis,
sdtasdt0(xD,sdtasdt0(xF,xR)) != xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_126]),c_0_147]),c_0_156])]) ).
cnf(c_0_175,plain,
( sdtasdt0(xD,sdtasdt0(xF,X1)) = sdtasdt0(xS,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_170]),c_0_147]),c_0_146])]) ).
cnf(c_0_176,hypothesis,
sdtasdt0(xS,xR) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]),c_0_156]),c_0_155])]) ).
cnf(c_0_177,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]),c_0_156])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG056+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n027.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 05:11:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 28.24/4.94 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 28.24/4.94 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 23; version: 991; iters: 150)
% 28.24/4.94 # Preprocessing time : 1.142 s
% 28.24/4.94
% 28.24/4.94 # Proof found!
% 28.24/4.94 # SZS status Theorem
% 28.24/4.94 # SZS output start CNFRefutation
% See solution above
% 28.24/4.94 # Training examples: 0 positive, 0 negative
% 28.24/4.94
% 28.24/4.94 # -------------------------------------------------
% 28.24/4.94 # User time : 2.350 s
% 28.24/4.94 # System time : 0.170 s
% 28.24/4.94 # Total time : 2.520 s
% 28.24/4.94 # ...preprocessing : 1.142 s
% 28.24/4.94 # ...main loop : 1.378 s
% 28.24/4.94 # Maximum resident set size: 177636 pages
% 28.24/4.94
%------------------------------------------------------------------------------