TSTP Solution File: NUM473+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM473+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 08:36:23 EDT 2022
% Result : Theorem 10.62s 2.75s
% Output : CNFRefutation 10.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 20
% Syntax : Number of clauses : 51 ( 28 unt; 9 nHn; 51 RR)
% Number of literals : 119 ( 32 equ; 64 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_27,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_27) ).
cnf(i_0_35,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_35) ).
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-dp7xvxc4/input.p',i_0_22) ).
cnf(i_0_69,hypothesis,
sdtasdt0(xl,xp) = xm,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_69) ).
cnf(i_0_60,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_60) ).
cnf(i_0_70,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_70) ).
cnf(i_0_67,hypothesis,
sz00 != xl,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_67) ).
cnf(i_0_78,negated_conjecture,
( sdtpldt0(xp,X1) != xq
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_78) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_10) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_2) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xq),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_73) ).
cnf(i_0_28,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_28) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_5) ).
cnf(i_0_75,hypothesis,
sdtpldt0(xm,esk5_0) = sdtpldt0(xm,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_75) ).
cnf(i_0_76,hypothesis,
aNaturalNumber0(esk5_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_76) ).
cnf(i_0_59,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_59) ).
cnf(i_0_72,hypothesis,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_72) ).
cnf(i_0_43,plain,
( X1 = X2
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_43) ).
cnf(i_0_33,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_33) ).
cnf(i_0_74,hypothesis,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dp7xvxc4/input.p',i_0_74) ).
cnf(c_0_99,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_27 ).
cnf(c_0_100,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_35 ).
cnf(c_0_101,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_22 ).
cnf(c_0_102,hypothesis,
sdtasdt0(xl,xp) = xm,
i_0_69 ).
cnf(c_0_103,hypothesis,
aNaturalNumber0(xl),
i_0_60 ).
cnf(c_0_104,hypothesis,
aNaturalNumber0(xp),
i_0_70 ).
cnf(c_0_105,hypothesis,
sz00 != xl,
i_0_67 ).
cnf(c_0_106,negated_conjecture,
( sdtpldt0(xp,X1) != xq
| ~ aNaturalNumber0(X1) ),
i_0_78 ).
cnf(c_0_107,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
i_0_10 ).
cnf(c_0_108,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_109,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_110,hypothesis,
aNaturalNumber0(xq),
i_0_73 ).
cnf(c_0_111,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_28 ).
cnf(c_0_112,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_113,hypothesis,
sdtpldt0(xm,esk5_0) = sdtpldt0(xm,xn),
i_0_75 ).
cnf(c_0_114,hypothesis,
aNaturalNumber0(esk5_0),
i_0_76 ).
cnf(c_0_115,hypothesis,
aNaturalNumber0(xm),
i_0_59 ).
cnf(c_0_116,hypothesis,
( X1 = xp
| sdtasdt0(xl,X1) != xm
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),c_0_104])]),c_0_105]) ).
cnf(c_0_117,hypothesis,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
i_0_72 ).
cnf(c_0_118,negated_conjecture,
xq != xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_104])]) ).
cnf(c_0_119,plain,
( X1 = X2
| X3 = sz00
| sdtlseqdt0(sdtasdt0(X3,X1),sdtasdt0(X3,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ sdtlseqdt0(X1,X2) ),
i_0_43 ).
cnf(c_0_120,negated_conjecture,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(esk1_2(xp,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_109]),c_0_104])])]),c_0_110])]) ).
cnf(c_0_121,plain,
( sdtlseqdt0(X1,X2)
| aNaturalNumber0(esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_100]) ).
cnf(c_0_122,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_33 ).
cnf(c_0_123,hypothesis,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
i_0_74 ).
cnf(c_0_124,hypothesis,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]),c_0_115])]) ).
cnf(c_0_125,hypothesis,
sdtpldt0(xm,xn) != xm,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_110])]),c_0_118]) ).
cnf(c_0_126,hypothesis,
( X1 = xp
| sdtlseqdt0(sdtasdt0(xl,X1),xm)
| ~ sdtlseqdt0(X1,xp)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_102]),c_0_103]),c_0_104])]),c_0_105]) ).
cnf(c_0_127,plain,
sdtlseqdt0(xq,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_110]),c_0_104])]) ).
cnf(c_0_128,hypothesis,
~ sdtlseqdt0(sdtpldt0(xm,xn),xm),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_115]),c_0_124])]),c_0_125]) ).
cnf(c_0_129,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_117]),c_0_110])]),c_0_118]),c_0_128]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM473+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jul 6 22:26:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 10.62/2.75 # ENIGMATIC: Solved by autoschedule:
% 10.62/2.75 # No SInE strategy applied
% 10.62/2.75 # Trying AutoSched0 for 150 seconds
% 10.62/2.75 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S068N
% 10.62/2.75 # and selection function PSelectNewComplexAHP.
% 10.62/2.75 #
% 10.62/2.75 # Preprocessing time : 0.014 s
% 10.62/2.75 # Presaturation interreduction done
% 10.62/2.75
% 10.62/2.75 # Proof found!
% 10.62/2.75 # SZS status Theorem
% 10.62/2.75 # SZS output start CNFRefutation
% See solution above
% 10.62/2.75 # Training examples: 0 positive, 0 negative
% 10.62/2.75
% 10.62/2.75 # -------------------------------------------------
% 10.62/2.75 # User time : 0.400 s
% 10.62/2.75 # System time : 0.023 s
% 10.62/2.75 # Total time : 0.423 s
% 10.62/2.75 # Maximum resident set size: 7120 pages
% 10.62/2.75
%------------------------------------------------------------------------------