%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL670+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 11:48:14 AM UTC 2026
% Result : Theorem 10.11s 3.57s
% Output : CNFRefutation 10.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of clauses : 54 ( 15 unt; 18 nHn; 52 RR)
% Number of literals : 163 ( 0 equ; 93 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 82 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_31,negated_conjecture,
( r1(X1,esk2_2(X2,X1))
| ~ r1(X2,X1)
| ~ r1(esk1_0,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4bhh6pf/input.p',i_0_31) ).
cnf(i_0_6,negated_conjecture,
r1(esk1_0,esk13_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4bhh6pf/input.p',i_0_6) ).
cnf(i_0_28,negated_conjecture,
( p2(esk2_2(X1,X2))
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4bhh6pf/input.p',i_0_28) ).
cnf(i_0_23,negated_conjecture,
( p2(X1)
| r1(X2,esk5_3(X3,X4,X2))
| ~ p2(X4)
| ~ r1(X4,X1)
| ~ r1(X4,X2)
| ~ r1(X3,X4)
| ~ r1(esk1_0,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4bhh6pf/input.p',i_0_23) ).
cnf(i_0_1,plain,
r1(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4bhh6pf/input.p',i_0_1) ).
cnf(i_0_5,negated_conjecture,
( r1(X1,esk14_1(X1))
| ~ r1(esk13_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4bhh6pf/input.p',i_0_5) ).
cnf(i_0_21,negated_conjecture,
( r1(X1,esk8_1(X1))
| r1(X2,esk6_3(X1,X3,X2))
| ~ r1(X3,X2)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4bhh6pf/input.p',i_0_21) ).
cnf(i_0_15,negated_conjecture,
( r1(X1,esk8_1(X1))
| p2(esk6_3(X1,X2,X3))
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4bhh6pf/input.p',i_0_15) ).
cnf(i_0_4,negated_conjecture,
( ~ p2(esk14_1(X1))
| ~ r1(esk13_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4bhh6pf/input.p',i_0_4) ).
cnf(i_0_22,negated_conjecture,
( p2(X1)
| ~ p2(X2)
| ~ p2(X3)
| ~ r1(X3,X1)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(esk1_0,X5)
| ~ r1(esk5_3(X5,X3,X4),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4bhh6pf/input.p',i_0_22) ).
cnf(i_0_20,negated_conjecture,
( r1(X1,esk6_3(X2,X3,X1))
| ~ p2(X4)
| ~ r1(X3,X1)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ r1(esk8_1(X2),X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4bhh6pf/input.p',i_0_20) ).
cnf(i_0_14,negated_conjecture,
( p2(esk6_3(X1,X2,X3))
| ~ p2(X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1)
| ~ r1(esk8_1(X1),X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4bhh6pf/input.p',i_0_14) ).
cnf(c_0_44,negated_conjecture,
( r1(X1,esk2_2(X2,X1))
| ~ r1(X2,X1)
| ~ r1(esk1_0,X2) ),
i_0_31 ).
cnf(c_0_45,negated_conjecture,
r1(esk1_0,esk13_0),
i_0_6 ).
cnf(c_0_46,negated_conjecture,
( p2(esk2_2(X1,X2))
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
i_0_28 ).
cnf(c_0_47,negated_conjecture,
( p2(X1)
| r1(X2,esk5_3(X3,X4,X2))
| ~ p2(X4)
| ~ r1(X4,X1)
| ~ r1(X4,X2)
| ~ r1(X3,X4)
| ~ r1(esk1_0,X3) ),
i_0_23 ).
cnf(c_0_48,negated_conjecture,
( r1(X1,esk2_2(esk13_0,X1))
| ~ r1(esk13_0,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,plain,
r1(X1,X1),
i_0_1 ).
cnf(c_0_50,negated_conjecture,
( p2(esk2_2(esk13_0,X1))
| ~ r1(esk13_0,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_45]) ).
cnf(c_0_51,negated_conjecture,
( p2(X1)
| r1(X2,esk5_3(esk13_0,X3,X2))
| ~ p2(X3)
| ~ r1(esk13_0,X3)
| ~ r1(X3,X2)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_45]) ).
cnf(c_0_52,plain,
r1(esk13_0,esk2_2(esk13_0,esk13_0)),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,plain,
p2(esk2_2(esk13_0,esk13_0)),
inference(spm,[status(thm)],[c_0_50,c_0_49]) ).
cnf(c_0_54,plain,
( p2(X1)
| r1(X2,esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),X2))
| ~ r1(esk2_2(esk13_0,esk13_0),X2)
| ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_55,negated_conjecture,
( r1(X1,esk14_1(X1))
| ~ r1(esk13_0,X1) ),
i_0_5 ).
cnf(c_0_56,negated_conjecture,
( r1(X1,esk8_1(X1))
| r1(X2,esk6_3(X1,X3,X2))
| ~ r1(X3,X2)
| ~ r1(X1,X3)
| ~ r1(esk1_0,X1) ),
i_0_21 ).
cnf(c_0_57,plain,
( p2(X1)
| r1(esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)))
| ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_49]) ).
cnf(c_0_58,negated_conjecture,
r1(esk2_2(esk13_0,esk13_0),esk14_1(esk2_2(esk13_0,esk13_0))),
inference(spm,[status(thm)],[c_0_55,c_0_52]) ).
cnf(c_0_59,negated_conjecture,
( r1(X1,esk8_1(X1))
| p2(esk6_3(X1,X2,X3))
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
i_0_15 ).
cnf(c_0_60,negated_conjecture,
( r1(X1,esk6_3(esk13_0,X2,X1))
| r1(esk13_0,esk8_1(esk13_0))
| ~ r1(esk13_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_45]) ).
cnf(c_0_61,negated_conjecture,
( ~ p2(esk14_1(X1))
| ~ r1(esk13_0,X1) ),
i_0_4 ).
cnf(c_0_62,negated_conjecture,
( p2(esk14_1(esk2_2(esk13_0,esk13_0)))
| r1(esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0))) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,negated_conjecture,
( p2(esk6_3(esk13_0,X1,X2))
| r1(esk13_0,esk8_1(esk13_0))
| ~ r1(esk13_0,X1)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_45]) ).
cnf(c_0_64,plain,
( r1(X1,esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),X1))
| r1(esk13_0,esk8_1(esk13_0))
| ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_52]) ).
cnf(c_0_65,negated_conjecture,
r1(esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_52])]) ).
cnf(c_0_66,plain,
( p2(esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),X1))
| r1(esk13_0,esk8_1(esk13_0))
| ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_52]) ).
cnf(c_0_67,negated_conjecture,
( p2(X1)
| ~ p2(X2)
| ~ p2(X3)
| ~ r1(X3,X1)
| ~ r1(X3,X4)
| ~ r1(X5,X3)
| ~ r1(esk1_0,X5)
| ~ r1(esk5_3(X5,X3,X4),X2) ),
i_0_22 ).
cnf(c_0_68,plain,
( r1(esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)),esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0))))
| r1(esk13_0,esk8_1(esk13_0)) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,plain,
( p2(esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0))))
| r1(esk13_0,esk8_1(esk13_0)) ),
inference(spm,[status(thm)],[c_0_66,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
( p2(X1)
| r1(esk13_0,esk8_1(esk13_0))
| ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_53]),c_0_45]),c_0_52]),c_0_49])]),c_0_69]) ).
cnf(c_0_71,negated_conjecture,
( p2(esk14_1(esk2_2(esk13_0,esk13_0)))
| r1(esk13_0,esk8_1(esk13_0)) ),
inference(spm,[status(thm)],[c_0_70,c_0_58]) ).
cnf(c_0_72,negated_conjecture,
r1(esk13_0,esk8_1(esk13_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_71]),c_0_52])]) ).
cnf(c_0_73,negated_conjecture,
( r1(X1,esk6_3(X2,X3,X1))
| ~ p2(X4)
| ~ r1(X3,X1)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2)
| ~ r1(esk8_1(X2),X4) ),
i_0_20 ).
cnf(c_0_74,negated_conjecture,
r1(esk8_1(esk13_0),esk2_2(esk13_0,esk8_1(esk13_0))),
inference(spm,[status(thm)],[c_0_48,c_0_72]) ).
cnf(c_0_75,negated_conjecture,
p2(esk2_2(esk13_0,esk8_1(esk13_0))),
inference(spm,[status(thm)],[c_0_50,c_0_72]) ).
cnf(c_0_76,negated_conjecture,
( p2(esk6_3(X1,X2,X3))
| ~ p2(X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1)
| ~ r1(esk8_1(X1),X4) ),
i_0_14 ).
cnf(c_0_77,negated_conjecture,
( r1(X1,esk6_3(esk13_0,X2,X1))
| ~ r1(esk13_0,X2)
| ~ r1(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),c_0_45])]) ).
cnf(c_0_78,negated_conjecture,
( p2(esk6_3(esk13_0,X1,X2))
| ~ r1(esk13_0,X1)
| ~ r1(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_74]),c_0_75]),c_0_45])]) ).
cnf(c_0_79,plain,
( r1(X1,esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),X1))
| ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_52]) ).
cnf(c_0_80,plain,
( p2(esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),X1))
| ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_52]) ).
cnf(c_0_81,negated_conjecture,
r1(esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)),esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)))),
inference(spm,[status(thm)],[c_0_79,c_0_65]) ).
cnf(c_0_82,negated_conjecture,
p2(esk6_3(esk13_0,esk2_2(esk13_0,esk13_0),esk5_3(esk13_0,esk2_2(esk13_0,esk13_0),esk2_2(esk13_0,esk13_0)))),
inference(spm,[status(thm)],[c_0_80,c_0_65]) ).
cnf(c_0_83,negated_conjecture,
( p2(X1)
| ~ r1(esk2_2(esk13_0,esk13_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_81]),c_0_53]),c_0_82]),c_0_45]),c_0_52]),c_0_49])]) ).
cnf(c_0_84,negated_conjecture,
p2(esk14_1(esk2_2(esk13_0,esk13_0))),
inference(spm,[status(thm)],[c_0_83,c_0_58]) ).
cnf(c_0_85,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_84]),c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL670+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : enigmatic-eprover.py %s %d 1
% 0.07/0.35 % Computer : n013.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 5 08:54:06 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.45 # ENIGMATIC: Selected complete mode:
% 10.11/3.57 # ENIGMATIC: Solved by autoschedule:
% 10.11/3.57 # No SInE strategy applied
% 10.11/3.57 # Trying AutoSched0 for 150 seconds
% 10.11/3.57 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S03EA
% 10.11/3.57 # and selection function SelectLComplex.
% 10.11/3.57 #
% 10.11/3.57 # Preprocessing time : 0.013 s
% 10.11/3.57 # Presaturation interreduction done
% 10.11/3.57
% 10.11/3.57 # Proof found!
% 10.11/3.57 # SZS status Theorem
% 10.11/3.57 # SZS output start CNFRefutation
% See solution above
% 10.11/3.57 # Training examples: 0 positive, 0 negative
% 10.11/3.57
% 10.11/3.57 # -------------------------------------------------
% 10.11/3.57 # User time : 0.183 s
% 10.11/3.57 # System time : 0.007 s
% 10.11/3.57 # Total time : 0.190 s
% 10.11/3.57 # Maximum resident set size: 3584 pages
% 10.11/3.57
%------------------------------------------------------------------------------