%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:48:16 AM UTC 2026
% Result : Theorem 16.03s 3.89s
% Output : CNFRefutation 16.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of clauses : 56 ( 25 unt; 14 nHn; 54 RR)
% Number of literals : 133 ( 0 equ; 69 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_5,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lpz0jdj_/lgb.p',i_0_5) ).
cnf(i_0_1,plain,
r1(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lpz0jdj_/lgb.p',i_0_1) ).
cnf(i_0_47,plain,
( p101(X1)
| r1(X1,esk20_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lpz0jdj_/lgb.p',i_0_47) ).
cnf(i_0_3,negated_conjecture,
p100(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lpz0jdj_/lgb.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
~ p101(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lpz0jdj_/lgb.p',i_0_4) ).
cnf(i_0_44,plain,
( p101(X1)
| p101(esk20_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lpz0jdj_/lgb.p',i_0_44) ).
cnf(i_0_45,plain,
( p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1)
| ~ p102(esk20_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lpz0jdj_/lgb.p',i_0_45) ).
cnf(i_0_55,plain,
( p102(X1)
| r1(X1,esk18_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lpz0jdj_/lgb.p',i_0_55) ).
cnf(i_0_2,plain,
( r1(X1,X2)
| ~ r1(X3,X2)
| ~ r1(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lpz0jdj_/lgb.p',i_0_2) ).
cnf(i_0_52,plain,
( p102(X1)
| p102(esk18_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lpz0jdj_/lgb.p',i_0_52) ).
cnf(i_0_53,plain,
( p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1)
| ~ p103(esk18_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lpz0jdj_/lgb.p',i_0_53) ).
cnf(i_0_63,plain,
( p103(X1)
| r1(X1,esk16_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lpz0jdj_/lgb.p',i_0_63) ).
cnf(i_0_60,plain,
( p103(X1)
| p103(esk16_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lpz0jdj_/lgb.p',i_0_60) ).
cnf(i_0_61,plain,
( p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1)
| ~ p104(esk16_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lpz0jdj_/lgb.p',i_0_61) ).
cnf(i_0_71,plain,
( p104(X1)
| r1(X1,esk14_1(X1))
| ~ p103(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lpz0jdj_/lgb.p',i_0_71) ).
cnf(i_0_70,plain,
( p104(X1)
| ~ p103(X1)
| ~ epred1_1(X1)
| ~ p5(esk14_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lpz0jdj_/lgb.p',i_0_70) ).
cnf(i_0_6,negated_conjecture,
( p5(X1)
| ~ r1(esk1_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lpz0jdj_/lgb.p',i_0_6) ).
cnf(c_0_89,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
i_0_5 ).
cnf(c_0_90,plain,
r1(X1,X1),
i_0_1 ).
cnf(c_0_91,plain,
( p101(X1)
| r1(X1,esk20_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
i_0_47 ).
cnf(c_0_92,plain,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_93,negated_conjecture,
p100(esk1_0),
i_0_3 ).
cnf(c_0_94,negated_conjecture,
~ p101(esk1_0),
i_0_4 ).
cnf(c_0_95,plain,
r1(esk1_0,esk20_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]),c_0_94]) ).
cnf(c_0_96,plain,
( p101(X1)
| p101(esk20_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
i_0_44 ).
cnf(c_0_97,plain,
( p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1)
| ~ p102(esk20_1(X1)) ),
i_0_45 ).
cnf(c_0_98,plain,
( p102(X1)
| r1(X1,esk18_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
i_0_55 ).
cnf(c_0_99,negated_conjecture,
epred1_1(esk20_1(esk1_0)),
inference(spm,[status(thm)],[c_0_89,c_0_95]) ).
cnf(c_0_100,plain,
p101(esk20_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_92]),c_0_93])]),c_0_94]) ).
cnf(c_0_101,plain,
~ p102(esk20_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_92]),c_0_93])]),c_0_94]) ).
cnf(c_0_102,plain,
( r1(X1,X2)
| ~ r1(X3,X2)
| ~ r1(X1,X3) ),
i_0_2 ).
cnf(c_0_103,plain,
r1(esk20_1(esk1_0),esk18_1(esk20_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100])]),c_0_101]) ).
cnf(c_0_104,plain,
( r1(X1,esk18_1(esk20_1(esk1_0)))
| ~ r1(X1,esk20_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_105,plain,
r1(esk1_0,esk18_1(esk20_1(esk1_0))),
inference(spm,[status(thm)],[c_0_104,c_0_95]) ).
cnf(c_0_106,plain,
( p102(X1)
| p102(esk18_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
i_0_52 ).
cnf(c_0_107,plain,
( p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1)
| ~ p103(esk18_1(X1)) ),
i_0_53 ).
cnf(c_0_108,plain,
( p103(X1)
| r1(X1,esk16_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
i_0_63 ).
cnf(c_0_109,negated_conjecture,
epred1_1(esk18_1(esk20_1(esk1_0))),
inference(spm,[status(thm)],[c_0_89,c_0_105]) ).
cnf(c_0_110,plain,
p102(esk18_1(esk20_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_99]),c_0_100])]),c_0_101]) ).
cnf(c_0_111,plain,
~ p103(esk18_1(esk20_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_99]),c_0_100])]),c_0_101]) ).
cnf(c_0_112,plain,
r1(esk18_1(esk20_1(esk1_0)),esk16_1(esk18_1(esk20_1(esk1_0)))),
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_111]) ).
cnf(c_0_113,plain,
( r1(X1,esk16_1(esk18_1(esk20_1(esk1_0))))
| ~ r1(X1,esk18_1(esk20_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_102,c_0_112]) ).
cnf(c_0_114,plain,
r1(esk1_0,esk16_1(esk18_1(esk20_1(esk1_0)))),
inference(spm,[status(thm)],[c_0_113,c_0_105]) ).
cnf(c_0_115,plain,
( p103(X1)
| p103(esk16_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
i_0_60 ).
cnf(c_0_116,plain,
( p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1)
| ~ p104(esk16_1(X1)) ),
i_0_61 ).
cnf(c_0_117,plain,
( p104(X1)
| r1(X1,esk14_1(X1))
| ~ p103(X1)
| ~ epred1_1(X1) ),
i_0_71 ).
cnf(c_0_118,negated_conjecture,
epred1_1(esk16_1(esk18_1(esk20_1(esk1_0)))),
inference(spm,[status(thm)],[c_0_89,c_0_114]) ).
cnf(c_0_119,plain,
p103(esk16_1(esk18_1(esk20_1(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_109]),c_0_110])]),c_0_111]) ).
cnf(c_0_120,plain,
~ p104(esk16_1(esk18_1(esk20_1(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_109]),c_0_110])]),c_0_111]) ).
cnf(c_0_121,plain,
r1(esk16_1(esk18_1(esk20_1(esk1_0))),esk14_1(esk16_1(esk18_1(esk20_1(esk1_0))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119])]),c_0_120]) ).
cnf(c_0_122,plain,
( r1(X1,esk14_1(esk16_1(esk18_1(esk20_1(esk1_0)))))
| ~ r1(X1,esk16_1(esk18_1(esk20_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_102,c_0_121]) ).
cnf(c_0_123,plain,
( p104(X1)
| ~ p103(X1)
| ~ epred1_1(X1)
| ~ p5(esk14_1(X1)) ),
i_0_70 ).
cnf(c_0_124,negated_conjecture,
( p5(X1)
| ~ r1(esk1_0,X1) ),
i_0_6 ).
cnf(c_0_125,plain,
r1(esk1_0,esk14_1(esk16_1(esk18_1(esk20_1(esk1_0))))),
inference(spm,[status(thm)],[c_0_122,c_0_114]) ).
cnf(c_0_126,plain,
~ p5(esk14_1(esk16_1(esk18_1(esk20_1(esk1_0))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_118]),c_0_119])]),c_0_120]) ).
cnf(c_0_127,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.36 % Computer : n031.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 21:14:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.46 # ENIGMATIC: Selected complete mode:
% 16.03/3.89 # ENIGMATIC: Solved by autoschedule-lgb:
% 16.03/3.89 # No SInE strategy applied
% 16.03/3.89 # Trying AutoSched0 for 150 seconds
% 16.03/3.89 # AutoSched0-Mode selected heuristic G_E___107_C12_11_nc_F1_PI_AE_Q4_CS_SP_PS_S071I
% 16.03/3.89 # and selection function SelectCQArEqLast.
% 16.03/3.89 #
% 16.03/3.89 # Preprocessing time : 0.026 s
% 16.03/3.89 # Presaturation interreduction done
% 16.03/3.89
% 16.03/3.89 # Proof found!
% 16.03/3.89 # SZS status Theorem
% 16.03/3.89 # SZS output start CNFRefutation
% See solution above
% 16.03/3.89 # Training examples: 0 positive, 0 negative
% 16.03/3.89
% 16.03/3.89 # -------------------------------------------------
% 16.03/3.89 # User time : 0.080 s
% 16.03/3.89 # System time : 0.011 s
% 16.03/3.89 # Total time : 0.090 s
% 16.03/3.89 # Maximum resident set size: 3328 pages
% 16.03/3.89
%------------------------------------------------------------------------------