TSTP Solution File: RNG078+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG078+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 20:24:55 EDT 2022
% Result : Theorem 21.46s 4.07s
% Output : CNFRefutation 21.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 25
% Syntax : Number of clauses : 75 ( 51 unt; 0 nHn; 75 RR)
% Number of literals : 129 ( 31 equ; 63 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 41 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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-3u_a2l1d/input.p',i_0_23) ).
cnf(i_0_89,hypothesis,
aScalar0(xN),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_89) ).
cnf(i_0_84,hypothesis,
sdtasdt0(xE,xH) = xP,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_84) ).
cnf(i_0_75,hypothesis,
aScalar0(xE),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_75) ).
cnf(i_0_81,hypothesis,
aScalar0(xH),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_81) ).
cnf(i_0_24,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_24) ).
cnf(i_0_80,hypothesis,
sdtasdt0(xA,xB) = xH,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_80) ).
cnf(i_0_69,hypothesis,
aScalar0(xB),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_69) ).
cnf(i_0_67,hypothesis,
aScalar0(xA),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_67) ).
cnf(i_0_93,hypothesis,
sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_93) ).
cnf(i_0_13,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_13) ).
cnf(i_0_94,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_94) ).
cnf(i_0_82,hypothesis,
sdtasdt0(xC,xG) = xR,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_82) ).
cnf(i_0_86,hypothesis,
sdtasdt0(xF,xD) = xS,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_86) ).
cnf(i_0_76,hypothesis,
sdtasdt0(xA,xA) = xF,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_76) ).
cnf(i_0_78,hypothesis,
sdtasdt0(xB,xB) = xG,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_78) ).
cnf(i_0_92,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_92) ).
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-3u_a2l1d/input.p',i_0_26) ).
cnf(i_0_83,hypothesis,
aScalar0(xR),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_83) ).
cnf(i_0_79,hypothesis,
aScalar0(xG),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_79) ).
cnf(i_0_87,hypothesis,
aScalar0(xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_87) ).
cnf(i_0_85,hypothesis,
aScalar0(xP),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_85) ).
cnf(i_0_12,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_12) ).
cnf(i_0_73,hypothesis,
aScalar0(xD),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_73) ).
cnf(i_0_71,hypothesis,
aScalar0(xC),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3u_a2l1d/input.p',i_0_71) ).
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_89 ).
cnf(c_0_122,hypothesis,
sdtasdt0(xE,xH) = xP,
i_0_84 ).
cnf(c_0_123,hypothesis,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_124,hypothesis,
aScalar0(xE),
i_0_75 ).
cnf(c_0_125,hypothesis,
aScalar0(xH),
i_0_81 ).
cnf(c_0_126,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_24 ).
cnf(c_0_127,hypothesis,
sdtasdt0(xA,xB) = xH,
i_0_80 ).
cnf(c_0_128,hypothesis,
aScalar0(xB),
i_0_69 ).
cnf(c_0_129,hypothesis,
aScalar0(xA),
i_0_67 ).
cnf(c_0_130,hypothesis,
sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
i_0_93 ).
cnf(c_0_131,hypothesis,
sdtasdt0(xH,xE) = xP,
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_132,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_13 ).
cnf(c_0_133,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
i_0_94 ).
cnf(c_0_134,hypothesis,
sdtasdt0(xC,xG) = xR,
i_0_82 ).
cnf(c_0_135,hypothesis,
sdtasdt0(xF,xD) = xS,
i_0_86 ).
cnf(c_0_136,hypothesis,
sdtasdt0(xA,xA) = xF,
i_0_76 ).
cnf(c_0_137,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_126,c_0_127]),c_0_128]),c_0_129])]) ).
cnf(c_0_138,hypothesis,
sdtasdt0(xB,xB) = xG,
i_0_78 ).
cnf(c_0_139,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
i_0_92 ).
cnf(c_0_140,hypothesis,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_122]),c_0_131]) ).
cnf(c_0_141,plain,
( aScalar0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_126]),c_0_132]) ).
cnf(c_0_142,hypothesis,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X3,sdtasdt0(X1,X2))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_126]),c_0_132]) ).
cnf(c_0_143,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_122]),c_0_131]),c_0_134]),c_0_135]) ).
cnf(c_0_144,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_26 ).
cnf(c_0_145,hypothesis,
aScalar0(xR),
i_0_83 ).
cnf(c_0_146,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_126,c_0_136]),c_0_129])]) ).
cnf(c_0_147,hypothesis,
sdtasdt0(xA,xG) = sdtasdt0(xH,xB),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_128])]) ).
cnf(c_0_148,hypothesis,
aScalar0(xG),
i_0_79 ).
cnf(c_0_149,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(rw,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_150,hypothesis,
aScalar0(xS),
i_0_87 ).
cnf(c_0_151,hypothesis,
( aScalar0(sdtasdt0(X1,xH))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_127]),c_0_128]),c_0_129])]) ).
cnf(c_0_152,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_137,c_0_142]),c_0_127]),c_0_128]),c_0_129])]) ).
cnf(c_0_153,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(xR,sdtpldt0(xS,sdtasdt0(xF,xG)))))
| ~ aScalar0(sdtpldt0(xS,sdtasdt0(xF,xG)))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145])]) ).
cnf(c_0_154,hypothesis,
aScalar0(xP),
i_0_85 ).
cnf(c_0_155,hypothesis,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X2,sdtasdt0(X1,X3))
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_123]) ).
cnf(c_0_156,hypothesis,
sdtasdt0(xA,sdtasdt0(xH,xB)) = sdtasdt0(xF,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148])]) ).
cnf(c_0_157,plain,
( sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(xR,sdtpldt0(xS,sdtasdt0(xH,xH)))))
| ~ aScalar0(sdtasdt0(xH,xH)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_144]),c_0_150]),c_0_145])]) ).
cnf(c_0_158,hypothesis,
aScalar0(sdtasdt0(xH,xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_125])]) ).
cnf(c_0_159,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(xR,sdtpldt0(xS,sdtasdt0(xF,xG)))))
| ~ aScalar0(sdtpldt0(xS,sdtasdt0(xF,xG)))
| ~ aScalar0(sdtpldt0(xP,sdtasdt0(xH,xH)))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_144]),c_0_154])]) ).
cnf(c_0_160,hypothesis,
sdtasdt0(xF,xG) = sdtasdt0(xH,xH),
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_155,c_0_156]),c_0_127]),c_0_125]),c_0_128]),c_0_129])]) ).
cnf(c_0_161,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH)))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(xR,sdtpldt0(xS,sdtasdt0(xH,xH))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_158])]) ).
cnf(c_0_162,plain,
( ~ aScalar0(sdtpldt0(xS,sdtasdt0(xH,xH)))
| ~ aScalar0(sdtpldt0(xP,sdtasdt0(xH,xH)))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_160]),c_0_161]),c_0_160])]) ).
cnf(c_0_163,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_12 ).
cnf(c_0_164,plain,
( ~ aScalar0(sdtpldt0(xP,sdtasdt0(xH,xH)))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_158]),c_0_150])]) ).
cnf(c_0_165,plain,
( ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_163]),c_0_158]),c_0_154])]) ).
cnf(c_0_166,hypothesis,
aScalar0(xD),
i_0_73 ).
cnf(c_0_167,hypothesis,
aScalar0(xC),
i_0_71 ).
cnf(c_0_168,plain,
~ aScalar0(sdtasdt0(xE,xE)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_132]),c_0_166]),c_0_167])]) ).
cnf(c_0_169,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_132]),c_0_124])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG078+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon May 30 07:22:43 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 21.46/4.07 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 21.46/4.07 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 25; version: 991; iters: 150)
% 21.46/4.07 # Preprocessing time : 1.146 s
% 21.46/4.07
% 21.46/4.07 # Proof found!
% 21.46/4.07 # SZS status Theorem
% 21.46/4.07 # SZS output start CNFRefutation
% See solution above
% 21.46/4.07 # Training examples: 0 positive, 0 negative
% 21.46/4.07
% 21.46/4.07 # -------------------------------------------------
% 21.46/4.07 # User time : 1.597 s
% 21.46/4.07 # System time : 0.144 s
% 21.46/4.07 # Total time : 1.741 s
% 21.46/4.07 # ...preprocessing : 1.146 s
% 21.46/4.07 # ...main loop : 0.595 s
% 21.46/4.07 # Maximum resident set size: 176996 pages
% 21.46/4.07
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