%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG049+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 20:24:48 EDT 2022
% Result : Theorem 8.35s 2.60s
% Output : CNFRefutation 8.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 23
% Syntax : Number of clauses : 68 ( 21 unt; 10 nHn; 68 RR)
% Number of literals : 173 ( 46 equ; 102 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_7) ).
cnf(i_0_70,hypothesis,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_70) ).
cnf(i_0_4,plain,
( aNaturalNumber0(szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_4) ).
cnf(i_0_45,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_45) ).
cnf(i_0_71,hypothesis,
aVector0(sziznziztdt0(xs)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_71) ).
cnf(i_0_50,plain,
( aDimensionOf0(X1) = sz00
| szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
| X2 != sziznziztdt0(X1)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_50) ).
cnf(i_0_5,plain,
( X1 = sz00
| szszuzczcdt0(esk1_1(X1)) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_5) ).
cnf(i_0_58,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_58) ).
cnf(i_0_56,hypothesis,
aVector0(xs),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_56) ).
cnf(i_0_6,plain,
( X1 = sz00
| aNaturalNumber0(esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_6) ).
cnf(i_0_9,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_9) ).
cnf(i_0_57,hypothesis,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1)
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(xs)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_57) ).
cnf(i_0_41,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_41) ).
cnf(i_0_55,plain,
( aDimensionOf0(X1) = sz00
| sdtpldt0(sdtasasdt0(sziznziztdt0(X2),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X2,aDimensionOf0(X2)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(X2,X1)
| aDimensionOf0(X2) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_55) ).
cnf(i_0_36,plain,
( sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_36) ).
cnf(i_0_65,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_65) ).
cnf(i_0_11,plain,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_11) ).
cnf(i_0_42,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_42) ).
cnf(i_0_19,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_19) ).
cnf(i_0_72,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_72) ).
cnf(i_0_13,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_13) ).
cnf(i_0_53,plain,
( aScalar0(sdtasasdt0(X1,X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_53) ).
cnf(i_0_46,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lj2pq2b0/lgb.p',i_0_46) ).
cnf(c_0_96,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_7 ).
cnf(c_0_97,hypothesis,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs),
i_0_70 ).
cnf(c_0_98,plain,
( aNaturalNumber0(szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
i_0_4 ).
cnf(c_0_99,hypothesis,
( X1 = aDimensionOf0(sziznziztdt0(xs))
| szszuzczcdt0(X1) != aDimensionOf0(xs)
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_100,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
i_0_45 ).
cnf(c_0_101,hypothesis,
aVector0(sziznziztdt0(xs)),
i_0_71 ).
cnf(c_0_102,hypothesis,
( aNaturalNumber0(aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(spm,[status(thm)],[c_0_98,c_0_97]) ).
cnf(c_0_103,plain,
( aDimensionOf0(X1) = sz00
| szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
| X2 != sziznziztdt0(X1)
| ~ aVector0(X1) ),
i_0_50 ).
cnf(c_0_104,plain,
( X1 = aDimensionOf0(sziznziztdt0(xs))
| szszuzczcdt0(X1) != aDimensionOf0(xs)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]) ).
cnf(c_0_105,plain,
( X1 = sz00
| szszuzczcdt0(esk1_1(X1)) = X1
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_106,plain,
aNaturalNumber0(aDimensionOf0(xs)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_100]),c_0_101])]) ).
cnf(c_0_107,hypothesis,
aDimensionOf0(xs) != sz00,
i_0_58 ).
cnf(c_0_108,plain,
( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X1))) = aDimensionOf0(X1)
| aDimensionOf0(X1) = sz00
| ~ aVector0(X1) ),
inference(er,[status(thm)],[c_0_103]) ).
cnf(c_0_109,plain,
( aDimensionOf0(sziznziztdt0(xs)) = esk1_1(aDimensionOf0(xs))
| ~ aNaturalNumber0(esk1_1(aDimensionOf0(xs))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105])]),c_0_106])]),c_0_107]) ).
cnf(c_0_110,hypothesis,
aVector0(xs),
i_0_56 ).
cnf(c_0_111,plain,
( szszuzczcdt0(esk1_1(aDimensionOf0(xs))) = aDimensionOf0(xs)
| ~ aNaturalNumber0(esk1_1(aDimensionOf0(xs))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110])]),c_0_107]) ).
cnf(c_0_112,plain,
( esk1_1(aDimensionOf0(xs)) = X1
| szszuzczcdt0(X1) != aDimensionOf0(xs)
| ~ aNaturalNumber0(esk1_1(aDimensionOf0(xs)))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_111]) ).
cnf(c_0_113,plain,
( X1 = sz00
| aNaturalNumber0(esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_114,plain,
( esk1_1(aDimensionOf0(xs)) = X1
| szszuzczcdt0(X1) != aDimensionOf0(xs)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_106])]),c_0_107]) ).
cnf(c_0_115,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
i_0_9 ).
cnf(c_0_116,hypothesis,
( aDimensionOf0(sziznziztdt0(xs)) = esk1_1(aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(spm,[status(thm)],[c_0_114,c_0_97]) ).
cnf(c_0_117,hypothesis,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1)
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(xs)) ),
i_0_57 ).
cnf(c_0_118,hypothesis,
( iLess0(aDimensionOf0(sziznziztdt0(xs)),aDimensionOf0(xs))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(spm,[status(thm)],[c_0_115,c_0_97]) ).
cnf(c_0_119,plain,
aDimensionOf0(sziznziztdt0(xs)) = esk1_1(aDimensionOf0(xs)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_100]),c_0_101])]) ).
cnf(c_0_120,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1) ),
i_0_41 ).
cnf(c_0_121,plain,
( aDimensionOf0(X1) = sz00
| sdtpldt0(sdtasasdt0(sziznziztdt0(X2),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X2,aDimensionOf0(X2)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(X2,X1)
| aDimensionOf0(X2) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(X2) ),
i_0_55 ).
cnf(c_0_122,plain,
( sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3) ),
i_0_36 ).
cnf(c_0_123,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs)))),
i_0_65 ).
cnf(c_0_124,plain,
aScalar0(sz0z00),
i_0_11 ).
cnf(c_0_125,hypothesis,
( sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_101])]) ).
cnf(c_0_126,plain,
aNaturalNumber0(esk1_1(aDimensionOf0(xs))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_119]),c_0_101])]) ).
cnf(c_0_127,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
i_0_42 ).
cnf(c_0_128,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
i_0_19 ).
cnf(c_0_129,plain,
( aDimensionOf0(X1) = sz00
| sdtlseqdt0(sz0z00,sdtasasdt0(X2,X1))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1)
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(X2,aDimensionOf0(X2)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(X2),sziznziztdt0(X1)))
| ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtlbdtrb0(X2,aDimensionOf0(X2)),sdtlbdtrb0(X1,aDimensionOf0(X1))))
| ~ sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(X2),sziznziztdt0(X1))) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_130,hypothesis,
( sdtlseqdt0(X1,sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124])]) ).
cnf(c_0_131,hypothesis,
sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_119]),c_0_126])]) ).
cnf(c_0_132,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_124])]) ).
cnf(c_0_133,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
i_0_72 ).
cnf(c_0_134,hypothesis,
( ~ aScalar0(sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(xs,aDimensionOf0(xs))))
| ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs))) ),
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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_110]),c_0_131]),c_0_124]),c_0_132])]),c_0_107]),c_0_133]) ).
cnf(c_0_135,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_13 ).
cnf(c_0_136,plain,
( ~ aScalar0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)))
| ~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs))) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_137,plain,
( aScalar0(sdtasasdt0(X1,X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
i_0_53 ).
cnf(c_0_138,plain,
~ aScalar0(sdtlbdtrb0(xs,aDimensionOf0(xs))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_101])]) ).
cnf(c_0_139,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
i_0_46 ).
cnf(c_0_140,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_110]),c_0_106])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG049+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 10:10:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 8.35/2.60 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.35/2.60 # No SInE strategy applied
% 8.35/2.60 # Trying AutoSched0 for 150 seconds
% 8.35/2.60 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 8.35/2.60 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.35/2.60 #
% 8.35/2.60 # Preprocessing time : 0.024 s
% 8.35/2.60
% 8.35/2.60 # Proof found!
% 8.35/2.60 # SZS status Theorem
% 8.35/2.60 # SZS output start CNFRefutation
% See solution above
% 8.35/2.60 # Training examples: 0 positive, 0 negative
% 8.35/2.60
% 8.35/2.60 # -------------------------------------------------
% 8.35/2.60 # User time : 0.278 s
% 8.35/2.60 # System time : 0.016 s
% 8.35/2.60 # Total time : 0.294 s
% 8.35/2.60 # Maximum resident set size: 7124 pages
% 8.35/2.60
%------------------------------------------------------------------------------