TSTP Solution File: NUM468+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM468+2 : 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 08:36:20 EDT 2022
% Result : Theorem 8.50s 2.60s
% Output : CNFRefutation 8.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 34 ( 27 unt; 2 nHn; 34 RR)
% Number of literals : 55 ( 29 equ; 25 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-td8qgj6r/lgb.p',i_0_22) ).
cnf(i_0_61,hypothesis,
sdtasdt0(xl,esk4_0) = xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td8qgj6r/lgb.p',i_0_61) ).
cnf(i_0_59,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td8qgj6r/lgb.p',i_0_59) ).
cnf(i_0_62,hypothesis,
aNaturalNumber0(esk4_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td8qgj6r/lgb.p',i_0_62) ).
cnf(i_0_71,negated_conjecture,
sz00 != xl,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td8qgj6r/lgb.p',i_0_71) ).
cnf(i_0_67,negated_conjecture,
sdtasdt0(xl,sdtsldt0(xn,xl)) = xn,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td8qgj6r/lgb.p',i_0_67) ).
cnf(i_0_68,negated_conjecture,
aNaturalNumber0(sdtsldt0(xn,xl)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td8qgj6r/lgb.p',i_0_68) ).
cnf(i_0_64,hypothesis,
sdtasdt0(xl,esk3_0) = xm,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td8qgj6r/lgb.p',i_0_64) ).
cnf(i_0_65,hypothesis,
aNaturalNumber0(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td8qgj6r/lgb.p',i_0_65) ).
cnf(i_0_66,negated_conjecture,
sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtpldt0(xm,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td8qgj6r/lgb.p',i_0_66) ).
cnf(i_0_69,negated_conjecture,
sdtasdt0(xl,sdtsldt0(xm,xl)) = xm,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td8qgj6r/lgb.p',i_0_69) ).
cnf(i_0_70,negated_conjecture,
aNaturalNumber0(sdtsldt0(xm,xl)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td8qgj6r/lgb.p',i_0_70) ).
cnf(i_0_18,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-td8qgj6r/lgb.p',i_0_18) ).
cnf(c_0_85,plain,
( X1 = X2
| X3 = sz00
| sdtasdt0(X3,X1) != sdtasdt0(X3,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_22 ).
cnf(c_0_86,hypothesis,
sdtasdt0(xl,esk4_0) = xn,
i_0_61 ).
cnf(c_0_87,hypothesis,
aNaturalNumber0(xl),
i_0_59 ).
cnf(c_0_88,hypothesis,
aNaturalNumber0(esk4_0),
i_0_62 ).
cnf(c_0_89,negated_conjecture,
sz00 != xl,
i_0_71 ).
cnf(c_0_90,hypothesis,
( X1 = esk4_0
| sdtasdt0(xl,X1) != 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_85,c_0_86]),c_0_87]),c_0_88])]),c_0_89]) ).
cnf(c_0_91,negated_conjecture,
sdtasdt0(xl,sdtsldt0(xn,xl)) = xn,
i_0_67 ).
cnf(c_0_92,negated_conjecture,
aNaturalNumber0(sdtsldt0(xn,xl)),
i_0_68 ).
cnf(c_0_93,hypothesis,
sdtasdt0(xl,esk3_0) = xm,
i_0_64 ).
cnf(c_0_94,hypothesis,
aNaturalNumber0(esk3_0),
i_0_65 ).
cnf(c_0_95,negated_conjecture,
sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) != sdtpldt0(xm,xn),
i_0_66 ).
cnf(c_0_96,negated_conjecture,
sdtsldt0(xn,xl) = esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).
cnf(c_0_97,hypothesis,
( X1 = esk3_0
| 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_85,c_0_93]),c_0_87]),c_0_94])]),c_0_89]) ).
cnf(c_0_98,negated_conjecture,
sdtasdt0(xl,sdtsldt0(xm,xl)) = xm,
i_0_69 ).
cnf(c_0_99,negated_conjecture,
aNaturalNumber0(sdtsldt0(xm,xl)),
i_0_70 ).
cnf(c_0_100,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_18 ).
cnf(c_0_101,negated_conjecture,
sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),esk4_0)) != sdtpldt0(xm,xn),
inference(rw,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,negated_conjecture,
sdtsldt0(xm,xl) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99])]) ).
cnf(c_0_103,hypothesis,
( sdtpldt0(sdtasdt0(xl,X1),xn) = sdtasdt0(xl,sdtpldt0(X1,esk4_0))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_86]),c_0_88]),c_0_87])]) ).
cnf(c_0_104,negated_conjecture,
sdtasdt0(xl,sdtpldt0(esk3_0,esk4_0)) != sdtpldt0(xm,xn),
inference(rw,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_105,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_93]),c_0_94])]),c_0_104]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM468+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 08:00:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 8.50/2.60 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.50/2.60 # No SInE strategy applied
% 8.50/2.60 # Trying AutoSched0 for 150 seconds
% 8.50/2.60 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S080N
% 8.50/2.60 # and selection function SelectCQIArNXTEqFirst.
% 8.50/2.60 #
% 8.50/2.60 # Preprocessing time : 0.023 s
% 8.50/2.60 # Presaturation interreduction done
% 8.50/2.60
% 8.50/2.60 # Proof found!
% 8.50/2.60 # SZS status Theorem
% 8.50/2.60 # SZS output start CNFRefutation
% See solution above
% 8.50/2.60 # Training examples: 0 positive, 0 negative
% 8.50/2.60
% 8.50/2.60 # -------------------------------------------------
% 8.50/2.60 # User time : 0.040 s
% 8.50/2.60 # System time : 0.005 s
% 8.50/2.60 # Total time : 0.045 s
% 8.50/2.60 # Maximum resident set size: 7124 pages
% 8.50/2.60
%------------------------------------------------------------------------------