%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL982+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 11:48:52 AM UTC 2026
% Result : Theorem 11.68s 3.69s
% Output : CNFRefutation 11.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of clauses : 14 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 26 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 45 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ceqdei4_/input.p',i_0_1) ).
cnf(i_0_2,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,implies(X4,X5)),implies(X2,implies(not(X4),not(X1)))),implies(X1,X4)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ceqdei4_/input.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
~ is_a_theorem(implies(implies(esk1_0,esk2_0),implies(implies(esk2_0,esk3_0),implies(esk1_0,esk3_0)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ceqdei4_/input.p',i_0_3) ).
cnf(c_0_7,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,X1)) ),
i_0_1 ).
cnf(c_0_8,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,implies(X4,X5)),implies(X2,implies(not(X4),not(X1)))),implies(X1,X4)))),
i_0_2 ).
cnf(c_0_9,plain,
( is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,implies(not(X2),not(X5)))),implies(X5,X2)))
| ~ is_a_theorem(implies(X5,X4)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,implies(X2,X4)),implies(X5,implies(not(X2),not(X1)))))
| ~ is_a_theorem(implies(X1,X5)) ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_11,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(X3,X2)) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_12,plain,
( is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(implies(implies(implies(X4,implies(X5,X6)),implies(X2,implies(not(X5),not(X1)))),implies(X1,X5)),X3)) ),
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
cnf(c_0_13,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_12,c_0_9]) ).
cnf(c_0_14,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X4))))
| ~ is_a_theorem(implies(X3,implies(implies(X5,implies(X4,X6)),implies(X2,implies(not(X4),not(X1)))))) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
~ is_a_theorem(implies(implies(esk1_0,esk2_0),implies(implies(esk2_0,esk3_0),implies(esk1_0,esk3_0)))),
i_0_3 ).
cnf(c_0_16,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_14,c_0_8]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL982+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 16:11:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected complete mode:
% 11.68/3.69 # ENIGMATIC: Solved by autoschedule:
% 11.68/3.69 # No SInE strategy applied
% 11.68/3.69 # Trying AutoSched0 for 150 seconds
% 11.68/3.69 # AutoSched0-Mode selected heuristic G_____0019_C18_F1_PI_SE_CS_SP_S0Y
% 11.68/3.69 # and selection function SelectMaxLComplexAvoidPosPred.
% 11.68/3.69 #
% 11.68/3.69 # Preprocessing time : 0.023 s
% 11.68/3.69
% 11.68/3.69 # Proof found!
% 11.68/3.69 # SZS status Theorem
% 11.68/3.69 # SZS output start CNFRefutation
% See solution above
% 11.68/3.69 # Training examples: 0 positive, 0 negative
% 11.68/3.69
% 11.68/3.69 # -------------------------------------------------
% 11.68/3.69 # User time : 0.020 s
% 11.68/3.69 # System time : 0.009 s
% 11.68/3.69 # Total time : 0.029 s
% 11.68/3.69 # Maximum resident set size: 3328 pages
% 11.68/3.69
%------------------------------------------------------------------------------