%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL463+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n014.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 11:44:49 AM UTC 2026
% Result : Theorem 282.78s 38.09s
% Output : CNFRefutation 282.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of clauses : 55 ( 33 unt; 0 nHn; 21 RR)
% Number of literals : 82 ( 0 equ; 30 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 108 ( 27 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_44,plain,
( is_a_theorem(X1)
| ~ modus_ponens
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ri8gggqo/input.p',i_0_44) ).
cnf(i_0_38,plain,
modus_ponens,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ri8gggqo/input.p',i_0_38) ).
cnf(i_0_8,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))
| ~ cn1 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ri8gggqo/input.p',i_0_8) ).
cnf(i_0_35,plain,
cn1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ri8gggqo/input.p',i_0_35) ).
cnf(i_0_10,plain,
( is_a_theorem(implies(X1,implies(not(X1),X2)))
| ~ cn2 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ri8gggqo/input.p',i_0_10) ).
cnf(i_0_36,plain,
cn2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ri8gggqo/input.p',i_0_36) ).
cnf(i_0_12,plain,
( is_a_theorem(implies(implies(not(X1),X1),X1))
| ~ cn3 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ri8gggqo/input.p',i_0_12) ).
cnf(i_0_37,plain,
cn3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ri8gggqo/input.p',i_0_37) ).
cnf(i_0_23,plain,
( implies_1
| ~ is_a_theorem(implies(esk19_0,implies(esk20_0,esk19_0))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ri8gggqo/input.p',i_0_23) ).
cnf(i_0_19,negated_conjecture,
~ implies_1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ri8gggqo/input.p',i_0_19) ).
cnf(c_0_55,plain,
( is_a_theorem(X1)
| ~ modus_ponens
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,X1)) ),
i_0_44 ).
cnf(c_0_56,plain,
modus_ponens,
i_0_38 ).
cnf(c_0_57,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))
| ~ cn1 ),
i_0_8 ).
cnf(c_0_58,plain,
cn1,
i_0_35 ).
cnf(c_0_59,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])]) ).
cnf(c_0_60,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).
cnf(c_0_61,plain,
( is_a_theorem(implies(X1,implies(not(X1),X2)))
| ~ cn2 ),
i_0_10 ).
cnf(c_0_62,plain,
cn2,
i_0_36 ).
cnf(c_0_63,plain,
( is_a_theorem(implies(implies(not(X1),X1),X1))
| ~ cn3 ),
i_0_12 ).
cnf(c_0_64,plain,
cn3,
i_0_37 ).
cnf(c_0_65,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_66,plain,
is_a_theorem(implies(X1,implies(not(X1),X2))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62])]) ).
cnf(c_0_67,plain,
is_a_theorem(implies(implies(not(X1),X1),X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]) ).
cnf(c_0_68,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(implies(X3,X1),X4))),
inference(spm,[status(thm)],[c_0_65,c_0_60]) ).
cnf(c_0_69,plain,
is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X1,X3))),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X1),X2))),
inference(spm,[status(thm)],[c_0_65,c_0_67]) ).
cnf(c_0_71,plain,
( is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(implies(implies(X2,X4),implies(X1,X4)),X3)) ),
inference(spm,[status(thm)],[c_0_59,c_0_68]) ).
cnf(c_0_72,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(not(X1),X3),X2)) ),
inference(spm,[status(thm)],[c_0_59,c_0_69]) ).
cnf(c_0_73,plain,
is_a_theorem(implies(implies(implies(implies(not(X1),X1),X2),X3),implies(implies(X1,X2),X3))),
inference(spm,[status(thm)],[c_0_65,c_0_70]) ).
cnf(c_0_74,plain,
is_a_theorem(implies(implies(X1,not(X2)),implies(X2,implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_71,c_0_69]) ).
cnf(c_0_75,plain,
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_66]) ).
cnf(c_0_76,plain,
is_a_theorem(implies(X1,X1)),
inference(spm,[status(thm)],[c_0_72,c_0_67]) ).
cnf(c_0_77,plain,
is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(implies(X2,X3),implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_71,c_0_73]) ).
cnf(c_0_78,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,not(X1))) ),
inference(spm,[status(thm)],[c_0_59,c_0_74]) ).
cnf(c_0_79,plain,
is_a_theorem(implies(not(implies(X1,X1)),X2)),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_80,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,implies(not(X1),X1))) ),
inference(spm,[status(thm)],[c_0_59,c_0_77]) ).
cnf(c_0_81,plain,
is_a_theorem(implies(X1,implies(not(implies(X2,X2)),X3))),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_82,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_83,plain,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X4,X2),implies(X1,implies(X4,X3))))),
inference(spm,[status(thm)],[c_0_71,c_0_68]) ).
cnf(c_0_84,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X3),X2)) ),
inference(spm,[status(thm)],[c_0_59,c_0_82]) ).
cnf(c_0_85,plain,
is_a_theorem(implies(X1,implies(X2,implies(not(X1),X3)))),
inference(spm,[status(thm)],[c_0_72,c_0_74]) ).
cnf(c_0_86,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X4))))
| ~ is_a_theorem(implies(X3,implies(X2,X4))) ),
inference(spm,[status(thm)],[c_0_59,c_0_83]) ).
cnf(c_0_87,plain,
is_a_theorem(implies(X1,implies(implies(not(X2),X2),X2))),
inference(spm,[status(thm)],[c_0_84,c_0_70]) ).
cnf(c_0_88,plain,
is_a_theorem(implies(implies(implies(X1,implies(not(X2),X3)),X4),implies(X2,X4))),
inference(spm,[status(thm)],[c_0_65,c_0_85]) ).
cnf(c_0_89,plain,
is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X3,implies(X1,X2)))),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_90,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,implies(not(X1),X4)),X2)) ),
inference(spm,[status(thm)],[c_0_59,c_0_88]) ).
cnf(c_0_91,plain,
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,implies(not(X3),X3))) ),
inference(spm,[status(thm)],[c_0_59,c_0_89]) ).
cnf(c_0_92,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X1)))),
inference(spm,[status(thm)],[c_0_90,c_0_89]) ).
cnf(c_0_93,plain,
( implies_1
| ~ is_a_theorem(implies(esk19_0,implies(esk20_0,esk19_0))) ),
i_0_23 ).
cnf(c_0_94,negated_conjecture,
~ implies_1,
i_0_19 ).
cnf(c_0_95,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(not(X1),X1)) ),
inference(spm,[status(thm)],[c_0_59,c_0_67]) ).
cnf(c_0_96,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_97,plain,
~ is_a_theorem(implies(esk19_0,implies(esk20_0,esk19_0))),
inference(sr,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_98,plain,
is_a_theorem(implies(X1,implies(X2,X1))),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_99,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL463+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.06 % Command : enigmatic-eprover.py %s %d 1
% 0.17/0.41 % Computer : n014.cluster.edu
% 0.17/0.41 % Model : x86_64 x86_64
% 0.17/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.41 % Memory : 8046.5625MB
% 0.17/0.41 % OS : Linux 6.8.0-71-generic
% 0.17/0.41 % CPULimit : 300
% 0.17/0.41 % WCLimit : 300
% 0.17/0.41 % DateTime : Sat Sep 5 22:57:29 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.24/0.53 # ENIGMATIC: Selected SinE mode:
% 0.24/0.54 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.54 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.24/0.54 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.24/0.54 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 282.78/38.09 # ENIGMATIC: Solved by Enigma+T5d16l600+G_E___200_B02_F1_SE_CS_SP_PI_S0S+loop07+coop:
% 282.78/38.09 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/T5d16l600/G_E___200_B02_F1_SE_CS_SP_PI_S0S/loop07/model.lgb' loaded. (hash_base: 32768; conj_feats: 9; version: 991; iters: 200)
% 282.78/38.09 # Preprocessing time : 0.463 s
% 282.78/38.09
% 282.78/38.09 # Proof found!
% 282.78/38.09 # SZS status Theorem
% 282.78/38.09 # SZS output start CNFRefutation
% See solution above
% 282.78/38.09 # Training examples: 0 positive, 0 negative
% 282.78/38.09
% 282.78/38.09 # -------------------------------------------------
% 282.78/38.09 # User time : 0.650 s
% 282.78/38.09 # System time : 0.070 s
% 282.78/38.09 # Total time : 0.720 s
% 282.78/38.09 # ...preprocessing : 0.463 s
% 282.78/38.09 # ...main loop : 0.258 s
% 282.78/38.09 # Maximum resident set size: 37120 pages
% 282.78/38.09
%------------------------------------------------------------------------------