%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL656+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 11:47:13 AM UTC 2026
% Result : Theorem 19.01s 5.53s
% Output : CNFRefutation 19.01s
% 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_17,negated_conjecture,
( p101(X1)
| r1(X1,esk2_1(X1))
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h8rerojv/lgb.p',i_0_17) ).
cnf(i_0_1,plain,
r1(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h8rerojv/lgb.p',i_0_1) ).
cnf(i_0_2,negated_conjecture,
p100(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h8rerojv/lgb.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
~ p101(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h8rerojv/lgb.p',i_0_3) ).
cnf(i_0_16,negated_conjecture,
( p101(X1)
| ~ p100(X1)
| ~ p2(esk2_1(X1))
| ~ r1(esk1_0,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h8rerojv/lgb.p',i_0_16) ).
cnf(i_0_18,negated_conjecture,
( p2(X1)
| ~ r1(esk1_0,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h8rerojv/lgb.p',i_0_18) ).
cnf(c_0_25,negated_conjecture,
( p101(X1)
| r1(X1,esk2_1(X1))
| ~ p100(X1)
| ~ r1(esk1_0,X1) ),
i_0_17 ).
cnf(c_0_26,plain,
r1(X1,X1),
i_0_1 ).
cnf(c_0_27,negated_conjecture,
p100(esk1_0),
i_0_2 ).
cnf(c_0_28,negated_conjecture,
~ p101(esk1_0),
i_0_3 ).
cnf(c_0_29,negated_conjecture,
( p101(X1)
| ~ p100(X1)
| ~ p2(esk2_1(X1))
| ~ r1(esk1_0,X1) ),
i_0_16 ).
cnf(c_0_30,negated_conjecture,
( p2(X1)
| ~ r1(esk1_0,X1) ),
i_0_18 ).
cnf(c_0_31,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_25,c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_32,plain,
~ p2(esk2_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL656+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : enigmatic-eprover.py %s %d 1
% 0.15/0.41 % Computer : n011.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sat Sep 5 02:14:45 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.25/0.55 # ENIGMATIC: Selected complete mode:
% 19.01/5.53 # ENIGMATIC: Solved by autoschedule-lgb:
% 19.01/5.53 # No SInE strategy applied
% 19.01/5.53 # Trying AutoSched0 for 149 seconds
% 19.01/5.53 # AutoSched0-Mode selected heuristic G_E___107_C12_11_nc_F1_PI_AE_Q4_CS_SP_PS_S071I
% 19.01/5.53 # and selection function SelectCQArEqLast.
% 19.01/5.53 #
% 19.01/5.53 # Preprocessing time : 0.043 s
% 19.01/5.53 # Presaturation interreduction done
% 19.01/5.53
% 19.01/5.53 # Proof found!
% 19.01/5.53 # SZS status Theorem
% 19.01/5.53 # SZS output start CNFRefutation
% See solution above
% 19.01/5.53 # Training examples: 0 positive, 0 negative
% 19.01/5.53
% 19.01/5.53 # -------------------------------------------------
% 19.01/5.53 # User time : 0.047 s
% 19.01/5.53 # System time : 0.005 s
% 19.01/5.53 # Total time : 0.051 s
% 19.01/5.53 # Maximum resident set size: 3328 pages
% 19.01/5.53
%------------------------------------------------------------------------------