%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL686+1.015 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 13.21s 3.85s
% Output : CNFRefutation 13.21s
% 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-vqssdohi/input.p',i_0_3) ).
cnf(i_0_1,plain,
r1(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vqssdohi/input.p',i_0_1) ).
cnf(i_0_95,plain,
( r1(X1,esk49_1(X1))
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vqssdohi/input.p',i_0_95) ).
cnf(i_0_9,plain,
( ~ epred1_1(X1)
| ~ p1(esk49_1(X1))
| ~ p2(esk49_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vqssdohi/input.p',i_0_9) ).
cnf(i_0_99,plain,
( p1(X1)
| ~ p2(X1)
| ~ epred1_1(X2)
| ~ r1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vqssdohi/input.p',i_0_99) ).
cnf(i_0_98,plain,
( p2(X1)
| ~ p1(X1)
| ~ epred1_1(X2)
| ~ r1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vqssdohi/input.p',i_0_98) ).
cnf(i_0_10,plain,
( p1(esk49_1(X1))
| p2(esk49_1(X1))
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-vqssdohi/input.p',i_0_10) ).
cnf(c_0_107,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk4_0,X1) ),
i_0_3 ).
cnf(c_0_108,plain,
r1(X1,X1),
i_0_1 ).
cnf(c_0_109,plain,
( r1(X1,esk49_1(X1))
| ~ epred1_1(X1) ),
i_0_95 ).
cnf(c_0_110,plain,
epred1_1(esk4_0),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_111,plain,
( ~ epred1_1(X1)
| ~ p1(esk49_1(X1))
| ~ p2(esk49_1(X1)) ),
i_0_9 ).
cnf(c_0_112,plain,
( p1(X1)
| ~ p2(X1)
| ~ epred1_1(X2)
| ~ r1(X2,X1) ),
i_0_99 ).
cnf(c_0_113,plain,
r1(esk4_0,esk49_1(esk4_0)),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_114,plain,
( ~ p2(esk49_1(esk4_0))
| ~ p1(esk49_1(esk4_0)) ),
inference(spm,[status(thm)],[c_0_111,c_0_110]) ).
cnf(c_0_115,plain,
( p2(X1)
| ~ p1(X1)
| ~ epred1_1(X2)
| ~ r1(X2,X1) ),
i_0_98 ).
cnf(c_0_116,plain,
~ p2(esk49_1(esk4_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_110])]),c_0_114]) ).
cnf(c_0_117,plain,
( p1(esk49_1(X1))
| p2(esk49_1(X1))
| ~ epred1_1(X1) ),
i_0_10 ).
cnf(c_0_118,plain,
~ p1(esk49_1(esk4_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_113]),c_0_110])]),c_0_116]) ).
cnf(c_0_119,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_110]),c_0_116]),c_0_118]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL686+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.36 % Computer : n018.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 19:16:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.46 # ENIGMATIC: Selected complete mode:
% 13.21/3.85 # ENIGMATIC: Solved by autoschedule:
% 13.21/3.85 # No SInE strategy applied
% 13.21/3.85 # Trying AutoSched0 for 150 seconds
% 13.21/3.85 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S085I
% 13.21/3.85 # and selection function SelectCQArNp.
% 13.21/3.85 #
% 13.21/3.85 # Preprocessing time : 0.028 s
% 13.21/3.85 # Presaturation interreduction done
% 13.21/3.85
% 13.21/3.85 # Proof found!
% 13.21/3.85 # SZS status Theorem
% 13.21/3.85 # SZS output start CNFRefutation
% See solution above
% 13.21/3.85 # Training examples: 0 positive, 0 negative
% 13.21/3.85
% 13.21/3.85 # -------------------------------------------------
% 13.21/3.85 # User time : 0.048 s
% 13.21/3.85 # System time : 0.002 s
% 13.21/3.85 # Total time : 0.050 s
% 13.21/3.85 # Maximum resident set size: 3584 pages
% 13.21/3.85
%------------------------------------------------------------------------------