TSTP Solution File: NUM524+3 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM524+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 08:36:57 EDT 2022
% Result : Theorem 8.44s 2.65s
% Output : CNFRefutation 8.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of clauses : 54 ( 34 unt; 10 nHn; 54 RR)
% Number of literals : 127 ( 48 equ; 69 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_50,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_50) ).
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_6) ).
cnf(i_0_53,plain,
( X1 = sz00
| X2 = sdtsldt0(X3,X1)
| X3 != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_53) ).
cnf(i_0_85,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_85) ).
cnf(i_0_75,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_75) ).
cnf(i_0_72,hypothesis,
sz00 != xp,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_72) ).
cnf(i_0_55,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_55) ).
cnf(i_0_76,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_76) ).
cnf(i_0_94,hypothesis,
sdtasdt0(xp,esk7_0) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_94) ).
cnf(i_0_95,hypothesis,
aNaturalNumber0(esk7_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_95) ).
cnf(i_0_22,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_22) ).
cnf(i_0_93,hypothesis,
doDivides0(xp,sdtasdt0(xn,xn)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_93) ).
cnf(i_0_12,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_12) ).
cnf(i_0_97,hypothesis,
sdtasdt0(xp,xq) = xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_97) ).
cnf(i_0_98,hypothesis,
aNaturalNumber0(xq),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_98) ).
cnf(i_0_99,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xq,xq)) != sdtasdt0(xm,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_99) ).
cnf(i_0_60,plain,
( X1 = sz00
| sdtsldt0(sdtasdt0(X2,X3),X1) = sdtasdt0(X2,sdtsldt0(X3,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_60) ).
cnf(i_0_96,hypothesis,
sdtsldt0(xn,xp) = xq,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_96) ).
cnf(i_0_90,hypothesis,
doDivides0(xp,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_90) ).
cnf(i_0_77,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ir3qkfgf/input.p',i_0_77) ).
cnf(c_0_120,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_121,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_122,plain,
( X1 = sz00
| X2 = sdtsldt0(X3,X1)
| X3 != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X3) ),
i_0_53 ).
cnf(c_0_123,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_120]),c_0_121]) ).
cnf(c_0_124,plain,
( sdtsldt0(sdtasdt0(X1,X2),X1) = X2
| X1 = sz00
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_122]),c_0_121]),c_0_123]) ).
cnf(c_0_125,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
i_0_85 ).
cnf(c_0_126,hypothesis,
aNaturalNumber0(xp),
i_0_75 ).
cnf(c_0_127,hypothesis,
sz00 != xp,
i_0_72 ).
cnf(c_0_128,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_129,hypothesis,
( sdtsldt0(sdtasdt0(xn,xn),xp) = sdtasdt0(xm,xm)
| ~ aNaturalNumber0(sdtasdt0(xm,xm)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126])]),c_0_127]) ).
cnf(c_0_130,hypothesis,
aNaturalNumber0(xm),
i_0_76 ).
cnf(c_0_131,hypothesis,
sdtasdt0(xp,esk7_0) = sdtasdt0(xn,xn),
i_0_94 ).
cnf(c_0_132,hypothesis,
aNaturalNumber0(esk7_0),
i_0_95 ).
cnf(c_0_133,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_22 ).
cnf(c_0_134,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_128]) ).
cnf(c_0_135,plain,
sdtsldt0(sdtasdt0(xn,xn),xp) = sdtasdt0(xm,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_121]),c_0_130])]) ).
cnf(c_0_136,hypothesis,
doDivides0(xp,sdtasdt0(xn,xn)),
i_0_93 ).
cnf(c_0_137,hypothesis,
aNaturalNumber0(sdtasdt0(xn,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_131]),c_0_132]),c_0_126])]) ).
cnf(c_0_138,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_12 ).
cnf(c_0_139,hypothesis,
sdtasdt0(xp,xq) = xn,
i_0_97 ).
cnf(c_0_140,hypothesis,
aNaturalNumber0(xq),
i_0_98 ).
cnf(c_0_141,hypothesis,
( X1 = esk7_0
| sdtasdt0(xp,X1) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_131]),c_0_126]),c_0_132])]),c_0_127]) ).
cnf(c_0_142,plain,
aNaturalNumber0(sdtasdt0(xm,xm)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_137]),c_0_126])]),c_0_127]) ).
cnf(c_0_143,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xq,xq)) != sdtasdt0(xm,xm),
i_0_99 ).
cnf(c_0_144,hypothesis,
( sdtasdt0(xp,sdtasdt0(xq,X1)) = sdtasdt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]),c_0_126])]) ).
cnf(c_0_145,hypothesis,
sdtasdt0(xm,xm) = esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_125]),c_0_142])]) ).
cnf(c_0_146,negated_conjecture,
sdtasdt0(xm,xm) != sdtasdt0(xn,xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_140])]) ).
cnf(c_0_147,plain,
( X1 = sz00
| sdtsldt0(sdtasdt0(X2,X3),X1) = sdtasdt0(X2,sdtsldt0(X3,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X3) ),
i_0_60 ).
cnf(c_0_148,plain,
sdtsldt0(sdtasdt0(xn,xn),xp) = esk7_0,
inference(rw,[status(thm)],[c_0_135,c_0_145]) ).
cnf(c_0_149,hypothesis,
sdtsldt0(xn,xp) = xq,
i_0_96 ).
cnf(c_0_150,hypothesis,
doDivides0(xp,xn),
i_0_90 ).
cnf(c_0_151,hypothesis,
aNaturalNumber0(xn),
i_0_77 ).
cnf(c_0_152,negated_conjecture,
sdtasdt0(xn,xq) != esk7_0,
inference(rw,[status(thm)],[c_0_146,c_0_145]) ).
cnf(c_0_153,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[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_147,c_0_148]),c_0_149]),c_0_150]),c_0_151]),c_0_126])]),c_0_152]),c_0_127]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM524+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jul 5 21:49:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected complete mode:
% 8.44/2.65 # ENIGMATIC: Solved by autoschedule:
% 8.44/2.65 # No SInE strategy applied
% 8.44/2.65 # Trying AutoSched0 for 150 seconds
% 8.44/2.65 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S080N
% 8.44/2.65 # and selection function SelectCQIArNXTEqFirst.
% 8.44/2.65 #
% 8.44/2.65 # Preprocessing time : 0.024 s
% 8.44/2.65 # Presaturation interreduction done
% 8.44/2.65
% 8.44/2.65 # Proof found!
% 8.44/2.65 # SZS status Theorem
% 8.44/2.65 # SZS output start CNFRefutation
% See solution above
% 8.44/2.65 # Training examples: 0 positive, 0 negative
% 8.44/2.65
% 8.44/2.65 # -------------------------------------------------
% 8.44/2.65 # User time : 0.056 s
% 8.44/2.65 # System time : 0.006 s
% 8.44/2.65 # Total time : 0.062 s
% 8.44/2.65 # Maximum resident set size: 7124 pages
% 8.44/2.65
%------------------------------------------------------------------------------