TSTP Solution File: NUM544+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM544+1 : 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 08:37:11 EDT 2022
% Result : Theorem 19.61s 3.89s
% Output : CNFRefutation 19.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of clauses : 62 ( 15 unt; 16 nHn; 62 RR)
% Number of literals : 207 ( 22 equ; 134 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 81 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_61,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_61) ).
cnf(i_0_62,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_62) ).
cnf(i_0_58,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_58) ).
cnf(i_0_14,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_14) ).
cnf(i_0_99,hypothesis,
aSubsetOf0(xS,szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_99) ).
cnf(i_0_45,plain,
aSet0(szNzAzT0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_45) ).
cnf(i_0_82,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| X2 != szmzazxdt0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_82) ).
cnf(i_0_87,plain,
( aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_87) ).
cnf(i_0_48,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_48) ).
cnf(i_0_98,hypothesis,
isFinite0(xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_98) ).
cnf(i_0_101,negated_conjecture,
xS != slcrc0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_101) ).
cnf(i_0_15,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_15) ).
cnf(i_0_57,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_57) ).
cnf(i_0_13,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_13) ).
cnf(i_0_12,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_12) ).
cnf(i_0_100,negated_conjecture,
~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_100) ).
cnf(i_0_60,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_60) ).
cnf(i_0_81,plain,
( X1 = slcrc0
| sdtlseqdt0(X2,X3)
| X3 != szmzazxdt0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_81) ).
cnf(i_0_90,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9o507tz6/input.p',i_0_90) ).
cnf(c_0_121,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_61 ).
cnf(c_0_122,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_62 ).
cnf(c_0_123,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X1,szszuzczcdt0(X3))
| ~ aElementOf0(szszuzczcdt0(X3),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_124,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_58 ).
cnf(c_0_125,plain,
( aElementOf0(X1,X2)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X3)
| ~ aSubsetOf0(X3,X2) ),
i_0_14 ).
cnf(c_0_126,hypothesis,
aSubsetOf0(xS,szNzAzT0),
i_0_99 ).
cnf(c_0_127,plain,
aSet0(szNzAzT0),
i_0_45 ).
cnf(c_0_128,plain,
( X1 = slcrc0
| aElementOf0(X2,X1)
| X2 != szmzazxdt0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
i_0_82 ).
cnf(c_0_129,plain,
( aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),X3) ),
i_0_87 ).
cnf(c_0_130,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_131,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_48 ).
cnf(c_0_132,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127])]) ).
cnf(c_0_133,plain,
( X1 = slcrc0
| aElementOf0(szmzazxdt0(X1),X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1) ),
inference(er,[status(thm)],[c_0_128]) ).
cnf(c_0_134,hypothesis,
isFinite0(xS),
i_0_98 ).
cnf(c_0_135,negated_conjecture,
xS != slcrc0,
i_0_101 ).
cnf(c_0_136,plain,
( aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X1,X2) ),
i_0_15 ).
cnf(c_0_137,plain,
( aElementOf0(X1,slbdtrb0(X2))
| ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_129]) ).
cnf(c_0_138,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_57 ).
cnf(c_0_139,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_140,plain,
aElementOf0(szmzazxdt0(xS),szNzAzT0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_126]),c_0_134])]),c_0_135]) ).
cnf(c_0_141,plain,
( aSubsetOf0(X1,X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
i_0_13 ).
cnf(c_0_142,hypothesis,
aSet0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_126]),c_0_127])]) ).
cnf(c_0_143,plain,
( aSubsetOf0(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
i_0_12 ).
cnf(c_0_144,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_145,plain,
( sdtlseqdt0(X1,szmzazxdt0(xS))
| sdtlseqdt0(szmzazxdt0(xS),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_146,plain,
( aSubsetOf0(xS,X1)
| aElementOf0(esk2_2(X1,xS),szNzAzT0)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_141]),c_0_142])]) ).
cnf(c_0_147,plain,
( aSubsetOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ sdtlseqdt0(esk2_2(slbdtrb0(szszuzczcdt0(X2)),X1),X2)
| ~ aElementOf0(esk2_2(slbdtrb0(szszuzczcdt0(X2)),X1),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(X2)))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_148,plain,
( sdtlseqdt0(esk2_2(X1,xS),szmzazxdt0(xS))
| sdtlseqdt0(szmzazxdt0(xS),esk2_2(X1,xS))
| aSubsetOf0(xS,X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_149,negated_conjecture,
~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
i_0_100 ).
cnf(c_0_150,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
i_0_60 ).
cnf(c_0_151,plain,
( sdtlseqdt0(szmzazxdt0(xS),esk2_2(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS))
| ~ aElementOf0(esk2_2(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_140]),c_0_142])]),c_0_149]) ).
cnf(c_0_152,plain,
( X1 = slcrc0
| sdtlseqdt0(X2,X3)
| X3 != szmzazxdt0(X1)
| ~ isFinite0(X1)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
i_0_81 ).
cnf(c_0_153,plain,
( esk2_2(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS) = szmzazxdt0(xS)
| ~ sdtlseqdt0(esk2_2(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),szmzazxdt0(xS))
| ~ aElementOf0(esk2_2(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_140])]) ).
cnf(c_0_154,plain,
( X1 = slcrc0
| sdtlseqdt0(X2,szmzazxdt0(X1))
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,X1)
| ~ isFinite0(X1) ),
inference(er,[status(thm)],[c_0_152]) ).
cnf(c_0_155,plain,
( esk2_2(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS) = szmzazxdt0(xS)
| ~ aElementOf0(esk2_2(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),szNzAzT0)
| ~ aElementOf0(esk2_2(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),xS)
| ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_126]),c_0_134])]),c_0_135]) ).
cnf(c_0_156,plain,
( esk2_2(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS) = szmzazxdt0(xS)
| ~ aElementOf0(esk2_2(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_141]),c_0_142])]),c_0_149]) ).
cnf(c_0_157,plain,
( esk2_2(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS) = szmzazxdt0(xS)
| ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_146]),c_0_149]) ).
cnf(c_0_158,plain,
sdtlseqdt0(szmzazxdt0(xS),szmzazxdt0(xS)),
inference(spm,[status(thm)],[c_0_145,c_0_140]) ).
cnf(c_0_159,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
i_0_90 ).
cnf(c_0_160,plain,
( ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| ~ aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_157]),c_0_158]),c_0_140]),c_0_142])]),c_0_149]) ).
cnf(c_0_161,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_159]) ).
cnf(c_0_162,plain,
~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_163,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_131]),c_0_140])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM544+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jul 5 18:06:29 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected complete mode:
% 19.61/3.89 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 19.61/3.89 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 28; version: 991; iters: 150)
% 19.61/3.89 # Preprocessing time : 1.265 s
% 19.61/3.89 # Presaturation interreduction done
% 19.61/3.89
% 19.61/3.89 # Proof found!
% 19.61/3.89 # SZS status Theorem
% 19.61/3.89 # SZS output start CNFRefutation
% See solution above
% 19.61/3.89 # Training examples: 0 positive, 0 negative
% 19.61/3.89
% 19.61/3.89 # -------------------------------------------------
% 19.61/3.89 # User time : 1.229 s
% 19.61/3.89 # System time : 0.163 s
% 19.61/3.89 # Total time : 1.392 s
% 19.61/3.89 # ...preprocessing : 1.265 s
% 19.61/3.89 # ...main loop : 0.127 s
% 19.61/3.89 # Maximum resident set size: 184748 pages
% 19.61/3.89
%------------------------------------------------------------------------------