%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL654+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 11:47:12 AM UTC 2026
% Result : Theorem 12.58s 3.41s
% Output : CNFRefutation 12.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of clauses : 44 ( 16 unt; 17 nHn; 42 RR)
% Number of literals : 131 ( 0 equ; 70 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 63 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_11,negated_conjecture,
( r1(X1,esk4_2(X2,X1))
| r1(X3,esk5_2(X2,X3))
| ~ r1(X2,X1)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ansl4gks/input.p',i_0_11) ).
cnf(i_0_6,negated_conjecture,
r1(esk1_0,esk7_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ansl4gks/input.p',i_0_6) ).
cnf(i_0_13,negated_conjecture,
( p1(X1)
| r1(X2,esk3_3(X3,X4,X2))
| ~ r1(X4,X1)
| ~ r1(X4,X2)
| ~ r1(X3,X4)
| ~ r1(esk1_0,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ansl4gks/input.p',i_0_13) ).
cnf(i_0_1,plain,
r1(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ansl4gks/input.p',i_0_1) ).
cnf(i_0_5,negated_conjecture,
r1(esk7_0,esk8_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ansl4gks/input.p',i_0_5) ).
cnf(i_0_4,negated_conjecture,
r1(esk8_0,esk9_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ansl4gks/input.p',i_0_4) ).
cnf(i_0_3,negated_conjecture,
~ p1(esk9_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ansl4gks/input.p',i_0_3) ).
cnf(i_0_9,negated_conjecture,
( p1(X1)
| r1(X2,esk5_2(X3,X2))
| ~ r1(X3,X4)
| ~ r1(X3,X2)
| ~ r1(esk1_0,X3)
| ~ r1(esk4_2(X3,X4),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ansl4gks/input.p',i_0_9) ).
cnf(i_0_12,negated_conjecture,
( p1(X1)
| ~ r1(X2,X1)
| ~ r1(X2,X3)
| ~ r1(X4,X2)
| ~ r1(esk1_0,X4)
| ~ p1(esk3_3(X4,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ansl4gks/input.p',i_0_12) ).
cnf(i_0_2,negated_conjecture,
( p1(X1)
| ~ r1(esk7_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ansl4gks/input.p',i_0_2) ).
cnf(i_0_10,negated_conjecture,
( r1(X1,esk4_2(X2,X1))
| ~ r1(X2,X1)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ p1(esk5_2(X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ansl4gks/input.p',i_0_10) ).
cnf(i_0_8,negated_conjecture,
( p1(X1)
| ~ r1(X2,X3)
| ~ r1(X2,X4)
| ~ r1(esk1_0,X2)
| ~ p1(esk5_2(X2,X4))
| ~ r1(esk4_2(X2,X3),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ansl4gks/input.p',i_0_8) ).
cnf(c_0_26,negated_conjecture,
( r1(X1,esk4_2(X2,X1))
| r1(X3,esk5_2(X2,X3))
| ~ r1(X2,X1)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
i_0_11 ).
cnf(c_0_27,negated_conjecture,
r1(esk1_0,esk7_0),
i_0_6 ).
cnf(c_0_28,negated_conjecture,
( p1(X1)
| r1(X2,esk3_3(X3,X4,X2))
| ~ r1(X4,X1)
| ~ r1(X4,X2)
| ~ r1(X3,X4)
| ~ r1(esk1_0,X3) ),
i_0_13 ).
cnf(c_0_29,negated_conjecture,
( r1(X1,esk4_2(esk7_0,X1))
| r1(X2,esk5_2(esk7_0,X2))
| ~ r1(esk7_0,X2)
| ~ r1(esk7_0,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,plain,
r1(X1,X1),
i_0_1 ).
cnf(c_0_31,negated_conjecture,
( p1(X1)
| r1(X2,esk3_3(esk7_0,X3,X2))
| ~ r1(esk7_0,X3)
| ~ r1(X3,X2)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
r1(esk7_0,esk8_0),
i_0_5 ).
cnf(c_0_33,plain,
( r1(esk7_0,esk5_2(esk7_0,esk7_0))
| r1(X1,esk4_2(esk7_0,X1))
| ~ r1(esk7_0,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
( p1(X1)
| r1(X2,esk3_3(esk7_0,esk8_0,X2))
| ~ r1(esk8_0,X2)
| ~ r1(esk8_0,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
( r1(esk8_0,esk4_2(esk7_0,esk8_0))
| r1(esk7_0,esk5_2(esk7_0,esk7_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( p1(X1)
| r1(esk4_2(esk7_0,esk8_0),esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
| r1(esk7_0,esk5_2(esk7_0,esk7_0))
| ~ r1(esk8_0,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_37,negated_conjecture,
r1(esk8_0,esk9_0),
i_0_4 ).
cnf(c_0_38,negated_conjecture,
~ p1(esk9_0),
i_0_3 ).
cnf(c_0_39,negated_conjecture,
( p1(X1)
| r1(X2,esk5_2(X3,X2))
| ~ r1(X3,X4)
| ~ r1(X3,X2)
| ~ r1(esk1_0,X3)
| ~ r1(esk4_2(X3,X4),X1) ),
i_0_9 ).
cnf(c_0_40,negated_conjecture,
( r1(esk4_2(esk7_0,esk8_0),esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
| r1(esk7_0,esk5_2(esk7_0,esk7_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
| r1(esk7_0,esk5_2(esk7_0,esk7_0))
| r1(X1,esk5_2(esk7_0,X1))
| ~ r1(esk7_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_27]),c_0_32])]) ).
cnf(c_0_42,negated_conjecture,
( p1(X1)
| ~ r1(X2,X1)
| ~ r1(X2,X3)
| ~ r1(X4,X2)
| ~ r1(esk1_0,X4)
| ~ p1(esk3_3(X4,X2,X3)) ),
i_0_12 ).
cnf(c_0_43,plain,
( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
| r1(esk7_0,esk5_2(esk7_0,esk7_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_30]) ).
cnf(c_0_44,negated_conjecture,
( p1(X1)
| r1(esk7_0,esk5_2(esk7_0,esk7_0))
| ~ r1(esk8_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_27]),c_0_32])]),c_0_35]) ).
cnf(c_0_45,negated_conjecture,
( p1(X1)
| ~ r1(esk7_0,X1) ),
i_0_2 ).
cnf(c_0_46,negated_conjecture,
r1(esk7_0,esk5_2(esk7_0,esk7_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_37]),c_0_38]) ).
cnf(c_0_47,negated_conjecture,
( r1(X1,esk4_2(X2,X1))
| ~ r1(X2,X1)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ p1(esk5_2(X2,X3)) ),
i_0_10 ).
cnf(c_0_48,negated_conjecture,
p1(esk5_2(esk7_0,esk7_0)),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,negated_conjecture,
( r1(X1,esk4_2(esk7_0,X1))
| ~ r1(esk7_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_27]),c_0_30])]) ).
cnf(c_0_50,negated_conjecture,
r1(esk8_0,esk4_2(esk7_0,esk8_0)),
inference(spm,[status(thm)],[c_0_49,c_0_32]) ).
cnf(c_0_51,negated_conjecture,
( p1(X1)
| r1(esk4_2(esk7_0,esk8_0),esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
| ~ r1(esk8_0,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_50]) ).
cnf(c_0_52,negated_conjecture,
( p1(X1)
| ~ r1(X2,X3)
| ~ r1(X2,X4)
| ~ r1(esk1_0,X2)
| ~ p1(esk5_2(X2,X4))
| ~ r1(esk4_2(X2,X3),X1) ),
i_0_8 ).
cnf(c_0_53,negated_conjecture,
r1(esk4_2(esk7_0,esk8_0),esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_37]),c_0_38]) ).
cnf(c_0_54,negated_conjecture,
( p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0)))
| ~ p1(esk5_2(esk7_0,X1))
| ~ r1(esk7_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_27]),c_0_32])]) ).
cnf(c_0_55,negated_conjecture,
p1(esk3_3(esk7_0,esk8_0,esk4_2(esk7_0,esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_48]),c_0_30])]) ).
cnf(c_0_56,negated_conjecture,
( p1(X1)
| ~ r1(esk8_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_55]),c_0_27]),c_0_32]),c_0_50])]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_37]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL654+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.36 % Computer : n010.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 : Sat Sep 5 00:37:40 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.12/0.41 # ENIGMATIC: Selected complete mode:
% 12.58/3.41 # ENIGMATIC: Solved by autoschedule:
% 12.58/3.41 # No SInE strategy applied
% 12.58/3.41 # Trying AutoSched0 for 150 seconds
% 12.58/3.41 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S02CA
% 12.58/3.41 # and selection function SelectAntiRROptimalLit.
% 12.58/3.41 #
% 12.58/3.41 # Preprocessing time : 0.023 s
% 12.58/3.41 # Presaturation interreduction done
% 12.58/3.41
% 12.58/3.41 # Proof found!
% 12.58/3.41 # SZS status Theorem
% 12.58/3.41 # SZS output start CNFRefutation
% See solution above
% 12.58/3.41 # Training examples: 0 positive, 0 negative
% 12.58/3.41
% 12.58/3.41 # -------------------------------------------------
% 12.58/3.41 # User time : 0.077 s
% 12.58/3.41 # System time : 0.006 s
% 12.58/3.41 # Total time : 0.083 s
% 12.58/3.41 # Maximum resident set size: 3328 pages
% 12.58/3.41
%------------------------------------------------------------------------------