TSTP Solution File: NUM471+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM471+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 08:36:22 EDT 2022
% Result : Theorem 10.86s 2.78s
% Output : CNFRefutation 10.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 21
% Syntax : Number of clauses : 58 ( 29 unt; 9 nHn; 58 RR)
% Number of literals : 142 ( 41 equ; 80 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 : 53 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_62,hypothesis,
sdtpldt0(xm,xn) = sdtasdt0(xl,esk4_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zm173g88/input.p',i_0_62) ).
cnf(i_0_72,hypothesis,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zm173g88/input.p',i_0_72) ).
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-zm173g88/input.p',i_0_22) ).
cnf(i_0_69,hypothesis,
sdtasdt0(xl,xp) = xm,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zm173g88/input.p',i_0_69) ).
cnf(i_0_60,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zm173g88/input.p',i_0_60) ).
cnf(i_0_70,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zm173g88/input.p',i_0_70) ).
cnf(i_0_67,hypothesis,
sz00 != xl,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zm173g88/input.p',i_0_67) ).
cnf(i_0_63,hypothesis,
aNaturalNumber0(esk4_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zm173g88/input.p',i_0_63) ).
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-zm173g88/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-zm173g88/input.p',i_0_35) ).
cnf(i_0_26,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zm173g88/input.p',i_0_26) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zm173g88/input.p',i_0_5) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xq),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zm173g88/input.p',i_0_73) ).
cnf(i_0_75,negated_conjecture,
( sdtpldt0(xp,X1) != xq
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zm173g88/input.p',i_0_75) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zm173g88/input.p',i_0_10) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zm173g88/input.p',i_0_2) ).
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-zm173g88/input.p',i_0_28) ).
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-zm173g88/input.p',i_0_33) ).
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-zm173g88/input.p',i_0_43) ).
cnf(i_0_59,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zm173g88/input.p',i_0_59) ).
cnf(i_0_58,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zm173g88/input.p',i_0_58) ).
cnf(c_0_97,hypothesis,
sdtpldt0(xm,xn) = sdtasdt0(xl,esk4_0),
i_0_62 ).
cnf(c_0_98,hypothesis,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
i_0_72 ).
cnf(c_0_99,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_22 ).
cnf(c_0_100,hypothesis,
sdtasdt0(xl,xp) = xm,
i_0_69 ).
cnf(c_0_101,hypothesis,
aNaturalNumber0(xl),
i_0_60 ).
cnf(c_0_102,hypothesis,
aNaturalNumber0(xp),
i_0_70 ).
cnf(c_0_103,hypothesis,
sz00 != xl,
i_0_67 ).
cnf(c_0_104,hypothesis,
sdtasdt0(xl,esk4_0) = sdtasdt0(xl,xq),
inference(rw,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_105,hypothesis,
aNaturalNumber0(esk4_0),
i_0_63 ).
cnf(c_0_106,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_27 ).
cnf(c_0_107,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
i_0_35 ).
cnf(c_0_108,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_109,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_110,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_99,c_0_100]),c_0_101]),c_0_102])]),c_0_103]) ).
cnf(c_0_111,hypothesis,
( X1 = esk4_0
| sdtasdt0(xl,X1) != sdtasdt0(xl,xq)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_104]),c_0_101]),c_0_105])]),c_0_103]) ).
cnf(c_0_112,hypothesis,
aNaturalNumber0(xq),
i_0_73 ).
cnf(c_0_113,negated_conjecture,
( sdtpldt0(xp,X1) != xq
| ~ aNaturalNumber0(X1) ),
i_0_75 ).
cnf(c_0_114,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aNaturalNumber0(X1) ),
i_0_10 ).
cnf(c_0_115,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_116,plain,
( sdtpldt0(X1,esk1_2(X1,X2)) = X2
| sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_117,plain,
( aNaturalNumber0(esk1_2(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_28 ).
cnf(c_0_118,plain,
( X1 = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2) ),
i_0_33 ).
cnf(c_0_119,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_108]),c_0_109]) ).
cnf(c_0_120,hypothesis,
( esk4_0 = xp
| sdtasdt0(xl,xq) != xm ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_104]),c_0_105])]) ).
cnf(c_0_121,hypothesis,
esk4_0 = xq,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_111]),c_0_112])]) ).
cnf(c_0_122,negated_conjecture,
xq != xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_102])]) ).
cnf(c_0_123,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_124,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_113,c_0_116]),c_0_102])])]),c_0_112])]) ).
cnf(c_0_125,plain,
( sdtlseqdt0(X1,X2)
| aNaturalNumber0(esk1_2(X2,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_107]) ).
cnf(c_0_126,plain,
( sdtpldt0(X1,X2) = X1
| ~ sdtlseqdt0(sdtpldt0(X1,X2),X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_109]) ).
cnf(c_0_127,hypothesis,
aNaturalNumber0(xm),
i_0_59 ).
cnf(c_0_128,hypothesis,
aNaturalNumber0(xn),
i_0_58 ).
cnf(c_0_129,hypothesis,
sdtasdt0(xl,xq) != xm,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).
cnf(c_0_130,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_123,c_0_100]),c_0_101]),c_0_102])]),c_0_103]) ).
cnf(c_0_131,plain,
sdtlseqdt0(xq,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_112]),c_0_102])]) ).
cnf(c_0_132,hypothesis,
~ sdtlseqdt0(sdtasdt0(xl,xq),xm),
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_98]),c_0_127]),c_0_128])]),c_0_129]) ).
cnf(c_0_133,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_112])]),c_0_122]),c_0_132]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM471+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n021.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 : Tue Jul 5 06:34:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 10.86/2.78 # ENIGMATIC: Solved by autoschedule:
% 10.86/2.78 # No SInE strategy applied
% 10.86/2.78 # Trying AutoSched0 for 150 seconds
% 10.86/2.78 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S068N
% 10.86/2.78 # and selection function PSelectNewComplexAHP.
% 10.86/2.78 #
% 10.86/2.78 # Preprocessing time : 0.014 s
% 10.86/2.78 # Presaturation interreduction done
% 10.86/2.78
% 10.86/2.78 # Proof found!
% 10.86/2.78 # SZS status Theorem
% 10.86/2.78 # SZS output start CNFRefutation
% See solution above
% 10.86/2.78 # Training examples: 0 positive, 0 negative
% 10.86/2.78
% 10.86/2.78 # -------------------------------------------------
% 10.86/2.78 # User time : 0.394 s
% 10.86/2.78 # System time : 0.016 s
% 10.86/2.78 # Total time : 0.410 s
% 10.86/2.78 # Maximum resident set size: 7120 pages
% 10.86/2.78
%------------------------------------------------------------------------------