TSTP Solution File: RNG062+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG062+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 8.50s 2.31s
% Output : CNFRefutation 8.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of clauses : 62 ( 29 unt; 0 nHn; 62 RR)
% Number of literals : 121 ( 40 equ; 66 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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-n7g2h5db/input.p',i_0_31) ).
cnf(i_0_97,hypothesis,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7g2h5db/input.p',i_0_97) ).
cnf(i_0_87,hypothesis,
aScalar0(xR),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7g2h5db/input.p',i_0_87) ).
cnf(i_0_96,hypothesis,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7g2h5db/input.p',i_0_96) ).
cnf(i_0_32,plain,
( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7g2h5db/input.p',i_0_32) ).
cnf(i_0_91,hypothesis,
aScalar0(xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7g2h5db/input.p',i_0_91) ).
cnf(i_0_16,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7g2h5db/input.p',i_0_16) ).
cnf(i_0_93,hypothesis,
aScalar0(xN),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7g2h5db/input.p',i_0_93) ).
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-n7g2h5db/input.p',i_0_30) ).
cnf(i_0_14,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7g2h5db/input.p',i_0_14) ).
cnf(i_0_13,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7g2h5db/input.p',i_0_13) ).
cnf(i_0_90,hypothesis,
sdtasdt0(xF,xD) = xS,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7g2h5db/input.p',i_0_90) ).
cnf(i_0_77,hypothesis,
aScalar0(xD),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7g2h5db/input.p',i_0_77) ).
cnf(i_0_81,hypothesis,
aScalar0(xF),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7g2h5db/input.p',i_0_81) ).
cnf(i_0_101,negated_conjecture,
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-n7g2h5db/input.p',i_0_101) ).
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-n7g2h5db/input.p',i_0_26) ).
cnf(i_0_25,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7g2h5db/input.p',i_0_25) ).
cnf(i_0_12,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7g2h5db/input.p',i_0_12) ).
cnf(i_0_100,hypothesis,
sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n7g2h5db/input.p',i_0_100) ).
cnf(c_0_121,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_31 ).
cnf(c_0_122,hypothesis,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
i_0_97 ).
cnf(c_0_123,hypothesis,
aScalar0(xR),
i_0_87 ).
cnf(c_0_124,hypothesis,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
i_0_96 ).
cnf(c_0_125,plain,
( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_32 ).
cnf(c_0_126,hypothesis,
( sdtasdt0(smndt0(xS),smndt0(xR)) = smndt0(smndt0(xN))
| ~ aScalar0(smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123])]) ).
cnf(c_0_127,hypothesis,
aScalar0(xS),
i_0_91 ).
cnf(c_0_128,hypothesis,
( sdtasdt0(smndt0(xS),smndt0(smndt0(xS))) = smndt0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS)) ),
inference(spm,[status(thm)],[c_0_121,c_0_124]) ).
cnf(c_0_129,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
i_0_16 ).
cnf(c_0_130,plain,
( smndt0(smndt0(xN)) = sdtasdt0(xS,xR)
| ~ aScalar0(smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_123]),c_0_127])]) ).
cnf(c_0_131,hypothesis,
aScalar0(xN),
i_0_93 ).
cnf(c_0_132,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_30 ).
cnf(c_0_133,plain,
( smndt0(sdtasdt0(xS,xS)) = sdtasdt0(xS,smndt0(xS))
| ~ aScalar0(smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_128]),c_0_127])]) ).
cnf(c_0_134,plain,
( sdtasdt0(xS,xR) = xN
| ~ aScalar0(smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131])]) ).
cnf(c_0_135,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
i_0_14 ).
cnf(c_0_136,plain,
( sdtasdt0(smndt0(xS),xS) = sdtasdt0(xS,smndt0(xS))
| ~ aScalar0(smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_127])]) ).
cnf(c_0_137,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_13 ).
cnf(c_0_138,hypothesis,
sdtasdt0(xF,xD) = xS,
i_0_90 ).
cnf(c_0_139,hypothesis,
aScalar0(xD),
i_0_77 ).
cnf(c_0_140,hypothesis,
aScalar0(xF),
i_0_81 ).
cnf(c_0_141,plain,
sdtasdt0(xS,xR) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_127])]) ).
cnf(c_0_142,plain,
( smndt0(sdtasdt0(xS,smndt0(xS))) = sdtasdt0(xS,xS)
| ~ aScalar0(smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_136]),c_0_124]),c_0_127])]) ).
cnf(c_0_143,plain,
( aScalar0(sdtasdt0(X1,smndt0(X2)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_121]),c_0_137]) ).
cnf(c_0_144,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_121,c_0_138]),c_0_139]),c_0_140])]) ).
cnf(c_0_145,negated_conjecture,
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_146,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_26 ).
cnf(c_0_147,plain,
sdtasdt0(xS,smndt0(xR)) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_141]),c_0_123]),c_0_127])]) ).
cnf(c_0_148,plain,
( sdtasdt0(xS,smndt0(smndt0(xS))) = sdtasdt0(xS,xS)
| ~ aScalar0(smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_142]),c_0_127])]) ).
cnf(c_0_149,hypothesis,
aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_139]),c_0_140])]) ).
cnf(c_0_150,negated_conjecture,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN)) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(smndt0(xN)) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_151,plain,
aScalar0(smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_147]),c_0_123]),c_0_127])]) ).
cnf(c_0_152,plain,
sdtasdt0(xS,smndt0(smndt0(xS))) = sdtasdt0(xS,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149])]) ).
cnf(c_0_153,negated_conjecture,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN)) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xR,xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_151])]) ).
cnf(c_0_154,plain,
aScalar0(sdtasdt0(xS,xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_152]),c_0_149]),c_0_127])]) ).
cnf(c_0_155,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_25 ).
cnf(c_0_156,negated_conjecture,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),smndt0(xN)) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))
| ~ aScalar0(sdtasdt0(xR,xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_154])]) ).
cnf(c_0_157,hypothesis,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_131]) ).
cnf(c_0_158,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_12 ).
cnf(c_0_159,negated_conjecture,
( sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),smndt0(xN)) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))
| ~ aScalar0(sdtasdt0(xR,xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_154]),c_0_151])]) ).
cnf(c_0_160,plain,
( sdtpldt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X4) = sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_146]),c_0_158]) ).
cnf(c_0_161,hypothesis,
sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
i_0_100 ).
cnf(c_0_162,negated_conjecture,
~ aScalar0(sdtasdt0(xR,xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]),c_0_151]),c_0_154])]) ).
cnf(c_0_163,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_137]),c_0_123])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : RNG062+2 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.09 % Command : enigmatic-eprover.py %s %d 1
% 0.08/0.29 % Computer : n017.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Mon May 30 08:11:26 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.13/0.38 # ENIGMATIC: Selected complete mode:
% 8.50/2.31 # ENIGMATIC: Solved by autoschedule:
% 8.50/2.31 # No SInE strategy applied
% 8.50/2.31 # Trying AutoSched0 for 150 seconds
% 8.50/2.31 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 8.50/2.31 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.50/2.31 #
% 8.50/2.31 # Preprocessing time : 0.015 s
% 8.50/2.31
% 8.50/2.31 # Proof found!
% 8.50/2.31 # SZS status Theorem
% 8.50/2.31 # SZS output start CNFRefutation
% See solution above
% 8.50/2.31 # Training examples: 0 positive, 0 negative
% 8.50/2.31
% 8.50/2.31 # -------------------------------------------------
% 8.50/2.31 # User time : 0.182 s
% 8.50/2.31 # System time : 0.014 s
% 8.50/2.31 # Total time : 0.197 s
% 8.50/2.31 # Maximum resident set size: 7120 pages
% 8.50/2.31
%------------------------------------------------------------------------------