%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL414+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n031.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 11:44:42 AM UTC 2026
% Result : Theorem 16.60s 4.19s
% Output : CNFRefutation 16.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 21 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 23 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_5,negated_conjecture,
( a_truth(X1)
| ~ a_truth(X2)
| ~ a_truth(implies(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxjvsmw0/input.p',i_0_5) ).
cnf(i_0_3,negated_conjecture,
a_truth(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxjvsmw0/input.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
a_truth(implies(X1,implies(X2,X1))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxjvsmw0/input.p',i_0_4) ).
cnf(i_0_1,negated_conjecture,
~ a_truth(implies(esk1_0,esk1_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pxjvsmw0/input.p',i_0_1) ).
cnf(c_0_10,negated_conjecture,
( a_truth(X1)
| ~ a_truth(X2)
| ~ a_truth(implies(X2,X1)) ),
i_0_5 ).
cnf(c_0_11,negated_conjecture,
a_truth(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
i_0_3 ).
cnf(c_0_12,negated_conjecture,
( a_truth(implies(implies(X1,X2),implies(X1,X3)))
| ~ a_truth(implies(X1,implies(X2,X3))) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( a_truth(implies(X1,X2))
| ~ a_truth(implies(X1,implies(X3,X2)))
| ~ a_truth(implies(X1,X3)) ),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
a_truth(implies(X1,implies(X2,X1))),
i_0_4 ).
cnf(c_0_15,negated_conjecture,
( a_truth(implies(X1,X1))
| ~ a_truth(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
~ a_truth(implies(esk1_0,esk1_0)),
i_0_1 ).
cnf(c_0_17,negated_conjecture,
a_truth(implies(X1,X1)),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL414+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.36 % Computer : n031.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 5 13:02:43 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.46 # ENIGMATIC: Selected complete mode:
% 16.60/4.19 # ENIGMATIC: Solved by autoschedule:
% 16.60/4.19 # No SInE strategy applied
% 16.60/4.19 # Trying AutoSched0 for 150 seconds
% 16.60/4.19 # AutoSched0-Mode selected heuristic H_____011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V
% 16.60/4.19 # and selection function PSelectComplexExceptRRHorn.
% 16.60/4.19 #
% 16.60/4.19 # Preprocessing time : 0.023 s
% 16.60/4.19 # Presaturation interreduction done
% 16.60/4.19
% 16.60/4.19 # Proof found!
% 16.60/4.19 # SZS status Theorem
% 16.60/4.19 # SZS output start CNFRefutation
% See solution above
% 16.60/4.19 # Training examples: 0 positive, 0 negative
% 16.60/4.19
% 16.60/4.19 # -------------------------------------------------
% 16.60/4.19 # User time : 0.024 s
% 16.60/4.19 # System time : 0.004 s
% 16.60/4.19 # Total time : 0.028 s
% 16.60/4.19 # Maximum resident set size: 3328 pages
% 16.60/4.19
%------------------------------------------------------------------------------