TSTP Solution File: NUM507+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM507+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n026.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 08:36:46 EDT 2022
% Result : Theorem 17.60s 3.66s
% Output : CNFRefutation 17.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of clauses : 56 ( 25 unt; 10 nHn; 56 RR)
% Number of literals : 144 ( 36 equ; 83 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_95,negated_conjecture,
( sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_95) ).
cnf(i_0_39,plain,
( X1 = X2
| sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_39) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_71) ).
cnf(i_0_90,hypothesis,
aNaturalNumber0(xr),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_90) ).
cnf(i_0_20,plain,
( X1 = X2
| sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_20) ).
cnf(i_0_34,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_34) ).
cnf(i_0_93,hypothesis,
sdtlseqdt0(xk,xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_93) ).
cnf(i_0_92,hypothesis,
sdtlseqdt0(xr,xk),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_92) ).
cnf(i_0_55,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_55) ).
cnf(i_0_83,hypothesis,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_83) ).
cnf(i_0_75,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_75) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_5) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_72) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_73) ).
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_6) ).
cnf(i_0_33,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_33) ).
cnf(i_0_94,hypothesis,
xk != xp,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_94) ).
cnf(i_0_67,plain,
( X1 != sz00
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_67) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_2) ).
cnf(i_0_76,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-eebr0e07/input.p',i_0_76) ).
cnf(c_0_116,negated_conjecture,
( sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(sdtpldt0(xn,xm),xp)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
i_0_95 ).
cnf(c_0_117,plain,
( X1 = X2
| sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2) ),
i_0_39 ).
cnf(c_0_118,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_119,hypothesis,
aNaturalNumber0(xr),
i_0_90 ).
cnf(c_0_120,plain,
( X1 = X2
| sdtpldt0(X3,X1) != sdtpldt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_20 ).
cnf(c_0_121,negated_conjecture,
( sdtpldt0(sdtpldt0(xn,xm),xr) = sdtpldt0(sdtpldt0(xn,xm),xp)
| xr = xp
| ~ sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118]),c_0_119])]) ).
cnf(c_0_122,plain,
( sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
i_0_34 ).
cnf(c_0_123,hypothesis,
sdtlseqdt0(xk,xp),
i_0_93 ).
cnf(c_0_124,plain,
( xr = xp
| xr = X1
| sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),X1)
| ~ sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_119])]) ).
cnf(c_0_125,hypothesis,
( sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,xk)
| ~ aNaturalNumber0(xk)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_118])]) ).
cnf(c_0_126,hypothesis,
sdtlseqdt0(xr,xk),
i_0_92 ).
cnf(c_0_127,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_128,plain,
( xr = xp
| ~ sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_124]),c_0_118])]) ).
cnf(c_0_129,hypothesis,
( sdtlseqdt0(xr,xp)
| ~ aNaturalNumber0(xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_119])]) ).
cnf(c_0_130,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_127]) ).
cnf(c_0_131,hypothesis,
sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
i_0_83 ).
cnf(c_0_132,hypothesis,
doDivides0(xp,sdtasdt0(xn,xm)),
i_0_75 ).
cnf(c_0_133,hypothesis,
( xr = xp
| ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xk) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_134,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_135,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_136,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_137,hypothesis,
( xp = sz00
| aNaturalNumber0(xk)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]),c_0_118])]) ).
cnf(c_0_138,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_139,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_33 ).
cnf(c_0_140,plain,
( xr = xp
| ~ aNaturalNumber0(xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]),c_0_136])]) ).
cnf(c_0_141,plain,
( xp = sz00
| aNaturalNumber0(xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_135]),c_0_136])]) ).
cnf(c_0_142,hypothesis,
( xr = xk
| ~ sdtlseqdt0(xk,xr)
| ~ aNaturalNumber0(xk) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_126]),c_0_119])]) ).
cnf(c_0_143,plain,
( xr = xp
| xp = sz00 ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_144,hypothesis,
xk != xp,
i_0_94 ).
cnf(c_0_145,hypothesis,
( xp = sz00
| ~ aNaturalNumber0(xk) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_123])]),c_0_144]) ).
cnf(c_0_146,plain,
( X1 != sz00
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
i_0_67 ).
cnf(c_0_147,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_148,hypothesis,
isPrime0(xp),
i_0_76 ).
cnf(c_0_149,plain,
xp = sz00,
inference(spm,[status(thm)],[c_0_145,c_0_141]) ).
cnf(c_0_150,plain,
~ isPrime0(sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_146]),c_0_147])]) ).
cnf(c_0_151,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149]),c_0_150]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM507+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 5 21:43:39 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 17.60/3.66 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 17.60/3.66 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 34; version: 991; iters: 150)
% 17.60/3.66 # Preprocessing time : 1.272 s
% 17.60/3.66 # Presaturation interreduction done
% 17.60/3.66
% 17.60/3.66 # Proof found!
% 17.60/3.66 # SZS status Theorem
% 17.60/3.66 # SZS output start CNFRefutation
% See solution above
% 17.60/3.66 # Training examples: 0 positive, 0 negative
% 17.60/3.66
% 17.60/3.66 # -------------------------------------------------
% 17.60/3.66 # User time : 1.181 s
% 17.60/3.66 # System time : 0.153 s
% 17.60/3.66 # Total time : 1.334 s
% 17.60/3.66 # ...preprocessing : 1.272 s
% 17.60/3.66 # ...main loop : 0.062 s
% 17.60/3.66 # Maximum resident set size: 186684 pages
% 17.60/3.66
%------------------------------------------------------------------------------