%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL638+1.005 : TPTP v9.3.1. 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 : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:45:08 AM UTC 2026
% Result : Theorem 15.12s 3.48s
% Output : CNFRefutation 15.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of clauses : 49 ( 19 unt; 15 nHn; 49 RR)
% Number of literals : 181 ( 0 equ; 119 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-6 aty)
% Number of variables : 113 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_82,negated_conjecture,
( p1(X1)
| r1(X2,esk6_5(X3,X4,X5,X6,X2))
| ~ r1(X7,X1)
| ~ r1(X6,X2)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X7)
| ~ r1(esk1_0,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hv80zgqx/input.p',i_0_82) ).
cnf(i_0_7,negated_conjecture,
r1(esk1_0,esk52_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hv80zgqx/input.p',i_0_7) ).
cnf(i_0_80,negated_conjecture,
( r1(X1,esk7_5(X2,X3,X4,X5,X1))
| ~ r1(X5,X1)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hv80zgqx/input.p',i_0_80) ).
cnf(i_0_90,negated_conjecture,
( p1(X1)
| r1(X2,esk2_6(X3,X4,X5,X6,X1,X2))
| ~ r1(X1,X2)
| ~ r1(X6,X1)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(esk1_0,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hv80zgqx/input.p',i_0_90) ).
cnf(i_0_6,negated_conjecture,
r1(esk52_0,esk53_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hv80zgqx/input.p',i_0_6) ).
cnf(i_0_5,negated_conjecture,
r1(esk53_0,esk54_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hv80zgqx/input.p',i_0_5) ).
cnf(i_0_4,negated_conjecture,
r1(esk54_0,esk55_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hv80zgqx/input.p',i_0_4) ).
cnf(i_0_3,negated_conjecture,
r1(esk55_0,esk56_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hv80zgqx/input.p',i_0_3) ).
cnf(i_0_2,negated_conjecture,
~ p1(esk56_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hv80zgqx/input.p',i_0_2) ).
cnf(i_0_89,negated_conjecture,
( p1(X1)
| ~ r1(X1,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(esk1_0,X6)
| ~ p1(esk2_6(X6,X5,X4,X3,X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hv80zgqx/input.p',i_0_89) ).
cnf(i_0_1,negated_conjecture,
( p1(X1)
| ~ r1(esk56_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hv80zgqx/input.p',i_0_1) ).
cnf(i_0_81,negated_conjecture,
( p1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(esk1_0,X7)
| ~ p1(esk6_5(X7,X6,X5,X4,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hv80zgqx/input.p',i_0_81) ).
cnf(c_0_103,negated_conjecture,
( p1(X1)
| r1(X2,esk6_5(X3,X4,X5,X6,X2))
| ~ r1(X7,X1)
| ~ r1(X6,X2)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X7)
| ~ r1(esk1_0,X3) ),
i_0_82 ).
cnf(c_0_104,negated_conjecture,
r1(esk1_0,esk52_0),
i_0_7 ).
cnf(c_0_105,negated_conjecture,
( r1(X1,esk7_5(X2,X3,X4,X5,X1))
| ~ r1(X5,X1)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
i_0_80 ).
cnf(c_0_106,negated_conjecture,
( p1(X1)
| r1(X2,esk2_6(X3,X4,X5,X6,X1,X2))
| ~ r1(X1,X2)
| ~ r1(X6,X1)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(esk1_0,X3) ),
i_0_90 ).
cnf(c_0_107,negated_conjecture,
( p1(X1)
| r1(X2,esk6_5(esk52_0,X3,X4,X5,X2))
| ~ r1(esk52_0,X3)
| ~ r1(X6,X1)
| ~ r1(X5,X2)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_108,negated_conjecture,
r1(esk52_0,esk53_0),
i_0_6 ).
cnf(c_0_109,negated_conjecture,
( r1(X1,esk7_5(esk52_0,X2,X3,X4,X1))
| ~ r1(esk52_0,X2)
| ~ r1(X4,X1)
| ~ r1(X3,X4)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_105,c_0_104]) ).
cnf(c_0_110,negated_conjecture,
( p1(X1)
| r1(X2,esk2_6(esk52_0,X3,X4,X5,X1,X2))
| ~ r1(esk52_0,X3)
| ~ r1(X5,X1)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_106,c_0_104]) ).
cnf(c_0_111,negated_conjecture,
( p1(X1)
| r1(X2,esk6_5(esk52_0,esk53_0,X3,X4,X2))
| ~ r1(esk53_0,X3)
| ~ r1(X5,X1)
| ~ r1(X4,X2)
| ~ r1(X3,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_112,negated_conjecture,
r1(esk53_0,esk54_0),
i_0_5 ).
cnf(c_0_113,negated_conjecture,
( r1(X1,esk7_5(esk52_0,esk53_0,X2,X3,X1))
| ~ r1(esk53_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_109,c_0_108]) ).
cnf(c_0_114,negated_conjecture,
( p1(X1)
| r1(X2,esk2_6(esk52_0,esk53_0,X3,X4,X1,X2))
| ~ r1(esk53_0,X3)
| ~ r1(X4,X1)
| ~ r1(X3,X4)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_110,c_0_108]) ).
cnf(c_0_115,negated_conjecture,
( p1(X1)
| r1(X2,esk6_5(esk52_0,esk53_0,esk54_0,X3,X2))
| ~ r1(esk54_0,X3)
| ~ r1(X4,X1)
| ~ r1(X3,X2)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_116,negated_conjecture,
r1(esk54_0,esk55_0),
i_0_4 ).
cnf(c_0_117,negated_conjecture,
( r1(X1,esk7_5(esk52_0,esk53_0,esk54_0,X2,X1))
| ~ r1(esk54_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_112]) ).
cnf(c_0_118,negated_conjecture,
( p1(X1)
| r1(X2,esk2_6(esk52_0,esk53_0,esk54_0,X3,X1,X2))
| ~ r1(esk54_0,X3)
| ~ r1(X3,X1)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_114,c_0_112]) ).
cnf(c_0_119,negated_conjecture,
( p1(X1)
| r1(X2,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,X2))
| ~ r1(esk55_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_120,negated_conjecture,
r1(esk55_0,esk56_0),
i_0_3 ).
cnf(c_0_121,negated_conjecture,
( r1(X1,esk7_5(esk52_0,esk53_0,esk54_0,esk55_0,X1))
| ~ r1(esk55_0,X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_116]) ).
cnf(c_0_122,negated_conjecture,
( p1(X1)
| r1(X2,esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,X1,X2))
| ~ r1(esk55_0,X1)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_116]) ).
cnf(c_0_123,negated_conjecture,
~ p1(esk56_0),
i_0_2 ).
cnf(c_0_124,negated_conjecture,
( p1(X1)
| r1(esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))
| ~ r1(esk56_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_125,negated_conjecture,
r1(esk56_0,esk7_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)),
inference(spm,[status(thm)],[c_0_121,c_0_120]) ).
cnf(c_0_126,negated_conjecture,
( r1(X1,esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,X1))
| ~ r1(esk56_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_120]),c_0_123]) ).
cnf(c_0_127,negated_conjecture,
( p1(X1)
| r1(esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))
| ~ r1(esk7_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0),X1) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_128,negated_conjecture,
r1(esk7_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0),esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,esk7_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))),
inference(spm,[status(thm)],[c_0_126,c_0_125]) ).
cnf(c_0_129,negated_conjecture,
( p1(X1)
| ~ r1(X1,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(esk1_0,X6)
| ~ p1(esk2_6(X6,X5,X4,X3,X1,X2)) ),
i_0_89 ).
cnf(c_0_130,negated_conjecture,
( p1(esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,esk7_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)))
| r1(esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_131,negated_conjecture,
( p1(X1)
| ~ r1(esk56_0,X1) ),
i_0_1 ).
cnf(c_0_132,negated_conjecture,
r1(esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_104]),c_0_108]),c_0_112]),c_0_116]),c_0_120]),c_0_125])]),c_0_123]) ).
cnf(c_0_133,negated_conjecture,
( p1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(esk1_0,X7)
| ~ p1(esk6_5(X7,X6,X5,X4,X3)) ),
i_0_81 ).
cnf(c_0_134,negated_conjecture,
p1(esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_135,negated_conjecture,
( p1(X1)
| ~ r1(esk56_0,X2)
| ~ r1(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_104]),c_0_108]),c_0_112]),c_0_116]),c_0_120])]) ).
cnf(c_0_136,negated_conjecture,
( p1(X1)
| ~ r1(esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0),X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_132]) ).
cnf(c_0_137,negated_conjecture,
r1(esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0),esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))),
inference(spm,[status(thm)],[c_0_126,c_0_132]) ).
cnf(c_0_138,negated_conjecture,
p1(esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_139,negated_conjecture,
$false,
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_138]),c_0_104]),c_0_108]),c_0_112]),c_0_116]),c_0_120]),c_0_132])]),c_0_123]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL638+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 4 13:45:36 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.12/0.45 # ENIGMATIC: Selected complete mode:
% 15.12/3.48 # ENIGMATIC: Solved by autoschedule:
% 15.12/3.48 # No SInE strategy applied
% 15.12/3.48 # Trying AutoSched0 for 150 seconds
% 15.12/3.48 # AutoSched0-Mode selected heuristic H_____102_C18_F1_PI_AE_Q4_CS_SP_S1S
% 15.12/3.48 # and selection function SelectComplexAHP.
% 15.12/3.48 #
% 15.12/3.48 # Preprocessing time : 0.026 s
% 15.12/3.48
% 15.12/3.48 # Proof found!
% 15.12/3.48 # SZS status Theorem
% 15.12/3.48 # SZS output start CNFRefutation
% See solution above
% 15.12/3.49 # Training examples: 0 positive, 0 negative
% 15.12/3.49
% 15.12/3.49 # -------------------------------------------------
% 15.12/3.49 # User time : 0.301 s
% 15.12/3.49 # System time : 0.017 s
% 15.12/3.49 # Total time : 0.318 s
% 15.12/3.49 # Maximum resident set size: 3584 pages
% 15.12/3.49
%------------------------------------------------------------------------------