%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL686+1.020 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 11:48:22 AM UTC 2026
% Result : Theorem 7.73s 3.96s
% Output : CNFRefutation 7.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 7 unt; 2 nHn; 18 RR)
% Number of literals : 45 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk4_0,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2a2hapnr/input.p',i_0_3) ).
cnf(i_0_1,plain,
r1(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2a2hapnr/input.p',i_0_1) ).
cnf(i_0_125,plain,
( r1(X1,esk64_1(X1))
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2a2hapnr/input.p',i_0_125) ).
cnf(i_0_9,plain,
( ~ epred1_1(X1)
| ~ p1(esk64_1(X1))
| ~ p2(esk64_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2a2hapnr/input.p',i_0_9) ).
cnf(i_0_129,plain,
( p1(X1)
| ~ p2(X1)
| ~ epred1_1(X2)
| ~ r1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2a2hapnr/input.p',i_0_129) ).
cnf(i_0_128,plain,
( p2(X1)
| ~ p1(X1)
| ~ epred1_1(X2)
| ~ r1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2a2hapnr/input.p',i_0_128) ).
cnf(i_0_10,plain,
( p1(esk64_1(X1))
| p2(esk64_1(X1))
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-2a2hapnr/input.p',i_0_10) ).
cnf(c_0_137,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk4_0,X1) ),
i_0_3 ).
cnf(c_0_138,plain,
r1(X1,X1),
i_0_1 ).
cnf(c_0_139,plain,
( r1(X1,esk64_1(X1))
| ~ epred1_1(X1) ),
i_0_125 ).
cnf(c_0_140,plain,
epred1_1(esk4_0),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_141,plain,
( ~ epred1_1(X1)
| ~ p1(esk64_1(X1))
| ~ p2(esk64_1(X1)) ),
i_0_9 ).
cnf(c_0_142,plain,
( p1(X1)
| ~ p2(X1)
| ~ epred1_1(X2)
| ~ r1(X2,X1) ),
i_0_129 ).
cnf(c_0_143,plain,
r1(esk4_0,esk64_1(esk4_0)),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_144,plain,
( ~ p2(esk64_1(esk4_0))
| ~ p1(esk64_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_141,c_0_140]) ).
cnf(c_0_145,plain,
( p2(X1)
| ~ p1(X1)
| ~ epred1_1(X2)
| ~ r1(X2,X1) ),
i_0_128 ).
cnf(c_0_146,plain,
~ p2(esk64_1(esk4_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_140])]),c_0_144]) ).
cnf(c_0_147,plain,
( p1(esk64_1(X1))
| p2(esk64_1(X1))
| ~ epred1_1(X1) ),
i_0_10 ).
cnf(c_0_148,plain,
~ p1(esk64_1(esk4_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_143]),c_0_140])]),c_0_146]) ).
cnf(c_0_149,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_140]),c_0_146]),c_0_148]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL686+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : enigmatic-eprover.py %s %d 1
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 6 00:32:10 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.46 # ENIGMATIC: Selected complete mode:
% 7.73/3.96 # ENIGMATIC: Solved by autoschedule:
% 7.73/3.96 # No SInE strategy applied
% 7.73/3.96 # Trying AutoSched0 for 150 seconds
% 7.73/3.96 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S085I
% 7.73/3.96 # and selection function SelectCQArNp.
% 7.73/3.96 #
% 7.73/3.96 # Preprocessing time : 0.029 s
% 7.73/3.96 # Presaturation interreduction done
% 7.73/3.96
% 7.73/3.96 # Proof found!
% 7.73/3.96 # SZS status Theorem
% 7.73/3.96 # SZS output start CNFRefutation
% See solution above
% 7.73/3.96 # Training examples: 0 positive, 0 negative
% 7.73/3.96
% 7.73/3.96 # -------------------------------------------------
% 7.73/3.96 # User time : 0.050 s
% 7.73/3.96 # System time : 0.007 s
% 7.73/3.96 # Total time : 0.057 s
% 7.73/3.96 # Maximum resident set size: 3840 pages
% 7.73/3.96
%------------------------------------------------------------------------------