TSTP Solution File: NUM490+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM490+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n003.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 08:36:34 EDT 2022
% Result : Theorem 8.26s 2.34s
% Output : CNFRefutation 8.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 31 ( 17 unt; 0 nHn; 31 RR)
% Number of literals : 73 ( 15 equ; 46 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-589pi5q5/lgb.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-589pi5q5/lgb.p',i_0_5) ).
cnf(i_0_29,plain,
( X1 = sdtmndt0(X2,X3)
| sdtpldt0(X3,X1) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-589pi5q5/lgb.p',i_0_29) ).
cnf(i_0_82,hypothesis,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-589pi5q5/lgb.p',i_0_82) ).
cnf(i_0_83,negated_conjecture,
sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) != sdtasdt0(xr,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-589pi5q5/lgb.p',i_0_83) ).
cnf(i_0_31,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-589pi5q5/lgb.p',i_0_31) ).
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-589pi5q5/lgb.p',i_0_6) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-589pi5q5/lgb.p',i_0_72) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-589pi5q5/lgb.p',i_0_71) ).
cnf(i_0_77,hypothesis,
sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-589pi5q5/lgb.p',i_0_77) ).
cnf(i_0_78,hypothesis,
sdtmndt0(xn,xp) = xr,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-589pi5q5/lgb.p',i_0_78) ).
cnf(i_0_73,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-589pi5q5/lgb.p',i_0_73) ).
cnf(c_0_96,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_97,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_98,plain,
( X1 = sdtmndt0(X2,X3)
| sdtpldt0(X3,X1) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2) ),
i_0_29 ).
cnf(c_0_99,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_96]),c_0_97]) ).
cnf(c_0_100,plain,
( sdtmndt0(sdtpldt0(X1,X2),X1) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_98]),c_0_97]),c_0_99]) ).
cnf(c_0_101,hypothesis,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm),
i_0_82 ).
cnf(c_0_102,negated_conjecture,
sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) != sdtasdt0(xr,xm),
i_0_83 ).
cnf(c_0_103,plain,
( aNaturalNumber0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X3,X2) ),
i_0_31 ).
cnf(c_0_104,hypothesis,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xr,xm)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).
cnf(c_0_105,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_106,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_107,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_108,plain,
( aNaturalNumber0(sdtmndt0(X1,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(er,[status(thm)],[c_0_103]) ).
cnf(c_0_109,hypothesis,
sdtlseqdt0(xp,xn),
i_0_77 ).
cnf(c_0_110,hypothesis,
sdtmndt0(xn,xp) = xr,
i_0_78 ).
cnf(c_0_111,hypothesis,
aNaturalNumber0(xn),
i_0_73 ).
cnf(c_0_112,plain,
~ aNaturalNumber0(sdtasdt0(xr,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]),c_0_107])]) ).
cnf(c_0_113,hypothesis,
aNaturalNumber0(xr),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]),c_0_107]),c_0_111])]) ).
cnf(c_0_114,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_105]),c_0_106]),c_0_113])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM490+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n003.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 11:41:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.26/2.34 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.26/2.34 # No SInE strategy applied
% 8.26/2.34 # Trying AutoSched0 for 150 seconds
% 8.26/2.34 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.26/2.34 # and selection function SelectNewComplexAHP.
% 8.26/2.34 #
% 8.26/2.34 # Preprocessing time : 0.021 s
% 8.26/2.34 # Presaturation interreduction done
% 8.26/2.34
% 8.26/2.34 # Proof found!
% 8.26/2.34 # SZS status Theorem
% 8.26/2.34 # SZS output start CNFRefutation
% See solution above
% 8.26/2.34 # Training examples: 0 positive, 0 negative
% 8.26/2.34
% 8.26/2.34 # -------------------------------------------------
% 8.26/2.34 # User time : 0.028 s
% 8.26/2.34 # System time : 0.007 s
% 8.26/2.34 # Total time : 0.035 s
% 8.26/2.34 # Maximum resident set size: 7128 pages
% 8.26/2.34
%------------------------------------------------------------------------------