%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL674+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 11:48:16 AM UTC 2026
% Result : Theorem 13.26s 3.96s
% Output : CNFRefutation 13.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 9 unt; 2 nHn; 13 RR)
% Number of literals : 29 ( 0 equ; 15 neg)
% Maximal clause size : 4 ( 1 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 : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_18,negated_conjecture,
( p101(X1)
| r1(X1,esk2_1(X1))
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p251ngoz/lgb.p',i_0_18) ).
cnf(i_0_1,plain,
r1(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p251ngoz/lgb.p',i_0_1) ).
cnf(i_0_3,negated_conjecture,
p100(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p251ngoz/lgb.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
~ p101(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p251ngoz/lgb.p',i_0_4) ).
cnf(i_0_17,negated_conjecture,
( p101(X1)
| ~ p100(X1)
| ~ p2(esk2_1(X1))
| ~ r1(esk1_0,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p251ngoz/lgb.p',i_0_17) ).
cnf(i_0_19,negated_conjecture,
( p2(X1)
| ~ r1(esk1_0,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p251ngoz/lgb.p',i_0_19) ).
cnf(c_0_26,negated_conjecture,
( p101(X1)
| r1(X1,esk2_1(X1))
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
i_0_18 ).
cnf(c_0_27,plain,
r1(X1,X1),
i_0_1 ).
cnf(c_0_28,negated_conjecture,
p100(esk1_0),
i_0_3 ).
cnf(c_0_29,negated_conjecture,
~ p101(esk1_0),
i_0_4 ).
cnf(c_0_30,negated_conjecture,
( p101(X1)
| ~ p100(X1)
| ~ p2(esk2_1(X1))
| ~ r1(esk1_0,X1) ),
i_0_17 ).
cnf(c_0_31,negated_conjecture,
( p2(X1)
| ~ r1(esk1_0,X1) ),
i_0_19 ).
cnf(c_0_32,plain,
r1(esk1_0,esk2_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_33,plain,
~ p2(esk2_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL674+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.37 % Computer : n027.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 02:07:59 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected complete mode:
% 13.26/3.96 # ENIGMATIC: Solved by autoschedule-lgb:
% 13.26/3.96 # No SInE strategy applied
% 13.26/3.96 # Trying AutoSched0 for 150 seconds
% 13.26/3.96 # AutoSched0-Mode selected heuristic G_E___107_C12_11_nc_F1_PI_AE_Q4_CS_SP_PS_S071I
% 13.26/3.96 # and selection function SelectCQArEqLast.
% 13.26/3.96 #
% 13.26/3.96 # Preprocessing time : 0.024 s
% 13.26/3.96 # Presaturation interreduction done
% 13.26/3.96
% 13.26/3.96 # Proof found!
% 13.26/3.96 # SZS status Theorem
% 13.26/3.96 # SZS output start CNFRefutation
% See solution above
% 13.26/3.96 # Training examples: 0 positive, 0 negative
% 13.26/3.96
% 13.26/3.96 # -------------------------------------------------
% 13.26/3.96 # User time : 0.024 s
% 13.26/3.96 # System time : 0.006 s
% 13.26/3.96 # Total time : 0.029 s
% 13.26/3.96 # Maximum resident set size: 3328 pages
% 13.26/3.96
%------------------------------------------------------------------------------