TSTP Solution File: NUM524+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM524+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 8.73s 2.51s
% Output : CNFRefutation 8.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of clauses : 61 ( 34 unt; 9 nHn; 61 RR)
% Number of literals : 146 ( 54 equ; 83 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; 5 con; 0-2 aty)
% Number of variables : 59 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_54,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_kkvp91/lgb.p',i_0_54) ).
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-y_kkvp91/lgb.p',i_0_55) ).
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-y_kkvp91/lgb.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-y_kkvp91/lgb.p',i_0_6) ).
cnf(i_0_81,hypothesis,
doDivides0(xp,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_kkvp91/lgb.p',i_0_81) ).
cnf(i_0_83,hypothesis,
sdtsldt0(xn,xp) = xq,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_kkvp91/lgb.p',i_0_83) ).
cnf(i_0_77,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_kkvp91/lgb.p',i_0_77) ).
cnf(i_0_75,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_kkvp91/lgb.p',i_0_75) ).
cnf(i_0_72,hypothesis,
sz00 != xp,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_kkvp91/lgb.p',i_0_72) ).
cnf(i_0_11,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_kkvp91/lgb.p',i_0_11) ).
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-y_kkvp91/lgb.p',i_0_12) ).
cnf(i_0_51,plain,
( sdtasdt0(X1,esk2_2(X1,X2)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_kkvp91/lgb.p',i_0_51) ).
cnf(i_0_52,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_kkvp91/lgb.p',i_0_52) ).
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-y_kkvp91/lgb.p',i_0_53) ).
cnf(i_0_74,hypothesis,
sz00 != xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_kkvp91/lgb.p',i_0_74) ).
cnf(i_0_79,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_kkvp91/lgb.p',i_0_79) ).
cnf(i_0_76,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_kkvp91/lgb.p',i_0_76) ).
cnf(i_0_84,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xq,xq)) != sdtasdt0(xm,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_kkvp91/lgb.p',i_0_84) ).
cnf(c_0_103,plain,
( X1 = sz00
| X2 = sdtasdt0(X1,X3)
| X3 != sdtsldt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_54 ).
cnf(c_0_104,plain,
( X1 = sz00
| aNaturalNumber0(X2)
| X2 != sdtsldt0(X3,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X3) ),
i_0_55 ).
cnf(c_0_105,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_106,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_107,plain,
( sdtasdt0(X1,sdtsldt0(X2,X1)) = X2
| X1 = sz00
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_103]) ).
cnf(c_0_108,hypothesis,
doDivides0(xp,xn),
i_0_81 ).
cnf(c_0_109,hypothesis,
sdtsldt0(xn,xp) = xq,
i_0_83 ).
cnf(c_0_110,hypothesis,
aNaturalNumber0(xn),
i_0_77 ).
cnf(c_0_111,hypothesis,
aNaturalNumber0(xp),
i_0_75 ).
cnf(c_0_112,hypothesis,
sz00 != xp,
i_0_72 ).
cnf(c_0_113,plain,
( X1 = sz00
| aNaturalNumber0(sdtsldt0(X2,X1))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_104]) ).
cnf(c_0_114,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_105]),c_0_106]) ).
cnf(c_0_115,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_11 ).
cnf(c_0_116,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_12 ).
cnf(c_0_117,hypothesis,
sdtasdt0(xp,xq) = xn,
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_107,c_0_108]),c_0_109]),c_0_110]),c_0_111])]),c_0_112]) ).
cnf(c_0_118,hypothesis,
aNaturalNumber0(xq),
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_113,c_0_108]),c_0_109]),c_0_110]),c_0_111])]),c_0_112]) ).
cnf(c_0_119,plain,
( doDivides0(X1,sdtasdt0(X2,X1))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_120,plain,
( 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_116,c_0_117]),c_0_118]),c_0_111])]) ).
cnf(c_0_121,plain,
( sdtasdt0(X1,esk2_2(X1,X2)) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
i_0_51 ).
cnf(c_0_122,hypothesis,
doDivides0(xq,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_117]),c_0_111]),c_0_118])]) ).
cnf(c_0_123,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X2) ),
i_0_52 ).
cnf(c_0_124,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_125,plain,
( sdtasdt0(xp,sdtasdt0(X1,xq)) = sdtasdt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_115]),c_0_118])]) ).
cnf(c_0_126,plain,
sdtasdt0(xq,esk2_2(xq,xn)) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_110]),c_0_118])]) ).
cnf(c_0_127,plain,
aNaturalNumber0(esk2_2(xq,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_122]),c_0_110]),c_0_118])]) ).
cnf(c_0_128,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_124]),c_0_106]),c_0_114]) ).
cnf(c_0_129,hypothesis,
sdtasdt0(xn,xp) = sdtasdt0(xp,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_117]),c_0_111])]) ).
cnf(c_0_130,hypothesis,
sz00 != xn,
i_0_74 ).
cnf(c_0_131,plain,
sdtasdt0(xn,esk2_2(xq,xn)) = sdtasdt0(xp,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_126]),c_0_127])]) ).
cnf(c_0_132,plain,
sdtsldt0(sdtasdt0(xp,xn),xn) = xp,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_111]),c_0_110])]),c_0_130]) ).
cnf(c_0_133,plain,
esk2_2(xq,xn) = xp,
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_128,c_0_131]),c_0_132]),c_0_127]),c_0_110])]),c_0_130]) ).
cnf(c_0_134,plain,
sdtasdt0(xq,xp) = xn,
inference(rw,[status(thm)],[c_0_126,c_0_133]) ).
cnf(c_0_135,plain,
( sdtasdt0(xq,sdtasdt0(xp,X1)) = sdtasdt0(xn,X1)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_134]),c_0_111]),c_0_118])]) ).
cnf(c_0_136,hypothesis,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
i_0_79 ).
cnf(c_0_137,hypothesis,
sdtasdt0(xq,xn) = sdtasdt0(xn,xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_117]),c_0_118])]) ).
cnf(c_0_138,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_128,c_0_136]),c_0_111])]),c_0_112]) ).
cnf(c_0_139,hypothesis,
aNaturalNumber0(xm),
i_0_76 ).
cnf(c_0_140,negated_conjecture,
sdtasdt0(xp,sdtasdt0(xq,xq)) != sdtasdt0(xm,xm),
i_0_84 ).
cnf(c_0_141,plain,
sdtasdt0(xp,sdtasdt0(xn,xq)) = sdtasdt0(xn,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_137]),c_0_110])]) ).
cnf(c_0_142,plain,
sdtsldt0(sdtasdt0(xn,xn),xp) = sdtasdt0(xm,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_106]),c_0_139])]) ).
cnf(c_0_143,plain,
aNaturalNumber0(sdtasdt0(xn,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_137]),c_0_110]),c_0_118])]) ).
cnf(c_0_144,negated_conjecture,
sdtasdt0(xn,xq) != sdtasdt0(xm,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_120]),c_0_118])]) ).
cnf(c_0_145,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(spm,[status(thm)],[c_0_128,c_0_141]),c_0_142]),c_0_143]),c_0_111])]),c_0_144]),c_0_112]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM524+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n011.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 03:13:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 # ENIGMATIC: Selected complete mode:
% 8.73/2.51 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.73/2.51 # No SInE strategy applied
% 8.73/2.51 # Trying AutoSched0 for 150 seconds
% 8.73/2.51 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.73/2.51 # and selection function SelectNewComplexAHP.
% 8.73/2.51 #
% 8.73/2.51 # Preprocessing time : 0.024 s
% 8.73/2.51 # Presaturation interreduction done
% 8.73/2.51
% 8.73/2.51 # Proof found!
% 8.73/2.51 # SZS status Theorem
% 8.73/2.51 # SZS output start CNFRefutation
% See solution above
% 8.73/2.51 # Training examples: 0 positive, 0 negative
% 8.73/2.51
% 8.73/2.51 # -------------------------------------------------
% 8.73/2.51 # User time : 0.054 s
% 8.73/2.51 # System time : 0.007 s
% 8.73/2.51 # Total time : 0.062 s
% 8.73/2.51 # Maximum resident set size: 7128 pages
% 8.73/2.51
%------------------------------------------------------------------------------