%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL646+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 11:47:01 AM UTC 2026
% Result : Theorem 17.44s 4.52s
% Output : CNFRefutation 17.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of clauses : 47 ( 13 unt; 20 nHn; 47 RR)
% Number of literals : 145 ( 0 equ; 80 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-4 aty)
% Number of variables : 70 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_28,negated_conjecture,
( p1(X1)
| r1(X1,esk56_2(X2,X1))
| ~ r1(X2,X1)
| ~ r1(esk1_0,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsv_mf7w/lgb.p',i_0_28) ).
cnf(i_0_4,negated_conjecture,
r1(esk1_0,esk68_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsv_mf7w/lgb.p',i_0_4) ).
cnf(i_0_14,negated_conjecture,
( p2(X1)
| r1(X1,esk63_1(X1))
| ~ r1(esk1_0,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsv_mf7w/lgb.p',i_0_14) ).
cnf(i_0_3,negated_conjecture,
~ p2(esk68_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsv_mf7w/lgb.p',i_0_3) ).
cnf(i_0_70,negated_conjecture,
( p4(X1)
| r1(X1,esk35_3(X2,X3,X1))
| ~ r1(X3,X1)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsv_mf7w/lgb.p',i_0_70) ).
cnf(i_0_13,negated_conjecture,
( p2(X1)
| ~ p1(esk63_1(X1))
| ~ r1(esk1_0,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsv_mf7w/lgb.p',i_0_13) ).
cnf(i_0_92,negated_conjecture,
( p1(X1)
| r1(X1,esk24_4(X2,X3,X4,X1))
| ~ r1(X4,X1)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsv_mf7w/lgb.p',i_0_92) ).
cnf(i_0_27,negated_conjecture,
( p1(X1)
| ~ r1(X2,X1)
| ~ r1(esk1_0,X2)
| ~ p4(esk56_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsv_mf7w/lgb.p',i_0_27) ).
cnf(i_0_139,negated_conjecture,
( p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(esk1_0,X5) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsv_mf7w/lgb.p',i_0_139) ).
cnf(i_0_69,negated_conjecture,
( p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(esk1_0,X3)
| ~ p1(esk35_3(X3,X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsv_mf7w/lgb.p',i_0_69) ).
cnf(i_0_91,negated_conjecture,
( p1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(esk1_0,X4)
| ~ p4(esk24_4(X4,X3,X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jsv_mf7w/lgb.p',i_0_91) ).
cnf(c_0_151,negated_conjecture,
( p1(X1)
| r1(X1,esk56_2(X2,X1))
| ~ r1(X2,X1)
| ~ r1(esk1_0,X2) ),
i_0_28 ).
cnf(c_0_152,negated_conjecture,
r1(esk1_0,esk68_0),
i_0_4 ).
cnf(c_0_153,negated_conjecture,
( p2(X1)
| r1(X1,esk63_1(X1))
| ~ r1(esk1_0,X1) ),
i_0_14 ).
cnf(c_0_154,negated_conjecture,
~ p2(esk68_0),
i_0_3 ).
cnf(c_0_155,negated_conjecture,
( p4(X1)
| r1(X1,esk35_3(X2,X3,X1))
| ~ r1(X3,X1)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
i_0_70 ).
cnf(c_0_156,negated_conjecture,
( r1(X1,esk56_2(esk68_0,X1))
| p1(X1)
| ~ r1(esk68_0,X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_157,negated_conjecture,
r1(esk68_0,esk63_1(esk68_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_152]),c_0_154]) ).
cnf(c_0_158,negated_conjecture,
( p4(X1)
| r1(X1,esk35_3(esk68_0,X2,X1))
| ~ r1(esk68_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_152]) ).
cnf(c_0_159,negated_conjecture,
( p2(X1)
| ~ p1(esk63_1(X1))
| ~ r1(esk1_0,X1) ),
i_0_13 ).
cnf(c_0_160,negated_conjecture,
( r1(esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))
| p1(esk63_1(esk68_0)) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_161,negated_conjecture,
( p1(X1)
| r1(X1,esk24_4(X2,X3,X4,X1))
| ~ r1(X4,X1)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
i_0_92 ).
cnf(c_0_162,negated_conjecture,
( p4(X1)
| r1(X1,esk35_3(esk68_0,esk63_1(esk68_0),X1))
| ~ r1(esk63_1(esk68_0),X1) ),
inference(spm,[status(thm)],[c_0_158,c_0_157]) ).
cnf(c_0_163,negated_conjecture,
r1(esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_152])]),c_0_154]) ).
cnf(c_0_164,negated_conjecture,
( r1(X1,esk24_4(esk68_0,X2,X3,X1))
| p1(X1)
| ~ r1(esk68_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_161,c_0_152]) ).
cnf(c_0_165,negated_conjecture,
( p1(X1)
| ~ r1(X2,X1)
| ~ r1(esk1_0,X2)
| ~ p4(esk56_2(X2,X1)) ),
i_0_27 ).
cnf(c_0_166,negated_conjecture,
( p4(esk56_2(esk68_0,esk63_1(esk68_0)))
| r1(esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_167,negated_conjecture,
( r1(X1,esk24_4(esk68_0,esk63_1(esk68_0),X2,X1))
| p1(X1)
| ~ r1(esk63_1(esk68_0),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_164,c_0_157]) ).
cnf(c_0_168,negated_conjecture,
( r1(esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))))
| p1(esk63_1(esk68_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_152]),c_0_157])]) ).
cnf(c_0_169,negated_conjecture,
( p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(esk1_0,X5) ),
i_0_139 ).
cnf(c_0_170,negated_conjecture,
( r1(X1,esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),X1))
| p1(X1)
| ~ r1(esk56_2(esk68_0,esk63_1(esk68_0)),X1) ),
inference(spm,[status(thm)],[c_0_167,c_0_163]) ).
cnf(c_0_171,negated_conjecture,
r1(esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_168]),c_0_152])]),c_0_154]) ).
cnf(c_0_172,negated_conjecture,
( p4(X1)
| ~ r1(esk68_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_152]) ).
cnf(c_0_173,negated_conjecture,
( p4(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(esk1_0,X3)
| ~ p1(esk35_3(X3,X2,X1)) ),
i_0_69 ).
cnf(c_0_174,negated_conjecture,
( r1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))))
| p1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_175,negated_conjecture,
( p4(X1)
| ~ r1(esk63_1(esk68_0),X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_172,c_0_157]) ).
cnf(c_0_176,negated_conjecture,
( p4(esk56_2(esk68_0,esk63_1(esk68_0)))
| r1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_152]),c_0_157]),c_0_163])]) ).
cnf(c_0_177,negated_conjecture,
( p4(X1)
| ~ r1(esk56_2(esk68_0,esk63_1(esk68_0)),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_175,c_0_163]) ).
cnf(c_0_178,negated_conjecture,
( r1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))))
| p1(esk63_1(esk68_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_176]),c_0_152]),c_0_157])]) ).
cnf(c_0_179,negated_conjecture,
( p4(X1)
| ~ r1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_171]) ).
cnf(c_0_180,negated_conjecture,
r1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_178]),c_0_152])]),c_0_154]) ).
cnf(c_0_181,negated_conjecture,
( p1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(esk1_0,X4)
| ~ p4(esk24_4(X4,X3,X2,X1)) ),
i_0_91 ).
cnf(c_0_182,negated_conjecture,
p4(esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))))),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_183,negated_conjecture,
p1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))),
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_181,c_0_182]),c_0_152]),c_0_157]),c_0_163]),c_0_171])]) ).
cnf(c_0_184,negated_conjecture,
p4(esk56_2(esk68_0,esk63_1(esk68_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_183]),c_0_152]),c_0_157]),c_0_163])]) ).
cnf(c_0_185,negated_conjecture,
p1(esk63_1(esk68_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_184]),c_0_152]),c_0_157])]) ).
cnf(c_0_186,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_185]),c_0_152])]),c_0_154]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL646+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 4 19:44:09 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.22/0.46 # ENIGMATIC: Selected complete mode:
% 17.44/4.52 # ENIGMATIC: Solved by autoschedule-lgb:
% 17.44/4.52 # No SInE strategy applied
% 17.44/4.52 # Trying AutoSched0 for 150 seconds
% 17.44/4.52 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S080I
% 17.44/4.52 # and selection function SelectCQIArNXTEqFirst.
% 17.44/4.52 #
% 17.44/4.52 # Preprocessing time : 0.031 s
% 17.44/4.52 # Presaturation interreduction done
% 17.44/4.52
% 17.44/4.52 # Proof found!
% 17.44/4.52 # SZS status Theorem
% 17.44/4.52 # SZS output start CNFRefutation
% See solution above
% 17.44/4.52 # Training examples: 0 positive, 0 negative
% 17.44/4.52
% 17.44/4.52 # -------------------------------------------------
% 17.44/4.52 # User time : 0.426 s
% 17.44/4.52 # System time : 0.012 s
% 17.44/4.52 # Total time : 0.439 s
% 17.44/4.52 # Maximum resident set size: 3584 pages
% 17.44/4.52
%------------------------------------------------------------------------------