TSTP Solution File: LCL656+1.010 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL656+1.010 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 09:29:52 EDT 2022
% Result : Theorem 7.96s 2.29s
% Output : CNFRefutation 7.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of clauses : 63 ( 22 unt; 14 nHn; 61 RR)
% Number of literals : 245 ( 0 equ; 174 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 140 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_4,negated_conjecture,
( epred1_1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(esk1_0,X10) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s1o8y28g/lgb.p',i_0_4) ).
cnf(i_0_1,plain,
r1(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s1o8y28g/lgb.p',i_0_1) ).
cnf(i_0_46,plain,
( p101(X1)
| r1(X1,esk20_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s1o8y28g/lgb.p',i_0_46) ).
cnf(i_0_2,negated_conjecture,
p100(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s1o8y28g/lgb.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
~ p101(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s1o8y28g/lgb.p',i_0_3) ).
cnf(i_0_43,plain,
( p101(X1)
| p101(esk20_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s1o8y28g/lgb.p',i_0_43) ).
cnf(i_0_44,plain,
( p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1)
| ~ p102(esk20_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s1o8y28g/lgb.p',i_0_44) ).
cnf(i_0_5,negated_conjecture,
( p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(esk1_0,X10) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s1o8y28g/lgb.p',i_0_5) ).
cnf(i_0_54,plain,
( p102(X1)
| r1(X1,esk18_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s1o8y28g/lgb.p',i_0_54) ).
cnf(i_0_51,plain,
( p102(X1)
| p102(esk18_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s1o8y28g/lgb.p',i_0_51) ).
cnf(i_0_52,plain,
( p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1)
| ~ p103(esk18_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s1o8y28g/lgb.p',i_0_52) ).
cnf(i_0_62,plain,
( p103(X1)
| r1(X1,esk16_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s1o8y28g/lgb.p',i_0_62) ).
cnf(i_0_59,plain,
( p103(X1)
| p103(esk16_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s1o8y28g/lgb.p',i_0_59) ).
cnf(i_0_60,plain,
( p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1)
| ~ p104(esk16_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s1o8y28g/lgb.p',i_0_60) ).
cnf(i_0_70,plain,
( p104(X1)
| r1(X1,esk14_1(X1))
| ~ p103(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s1o8y28g/lgb.p',i_0_70) ).
cnf(i_0_69,plain,
( p104(X1)
| ~ p103(X1)
| ~ epred1_1(X1)
| ~ p5(esk14_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s1o8y28g/lgb.p',i_0_69) ).
cnf(c_0_87,negated_conjecture,
( epred1_1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(esk1_0,X10) ),
i_0_4 ).
cnf(c_0_88,plain,
r1(X1,X1),
i_0_1 ).
cnf(c_0_89,plain,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_90,plain,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_88]) ).
cnf(c_0_91,plain,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_88]) ).
cnf(c_0_92,plain,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_88]) ).
cnf(c_0_93,plain,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_88]) ).
cnf(c_0_94,plain,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_88]) ).
cnf(c_0_95,plain,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_88]) ).
cnf(c_0_96,plain,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_88]) ).
cnf(c_0_97,plain,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_88]) ).
cnf(c_0_98,plain,
( p101(X1)
| r1(X1,esk20_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
i_0_46 ).
cnf(c_0_99,plain,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_97,c_0_88]) ).
cnf(c_0_100,negated_conjecture,
p100(esk1_0),
i_0_2 ).
cnf(c_0_101,negated_conjecture,
~ p101(esk1_0),
i_0_3 ).
cnf(c_0_102,plain,
r1(esk1_0,esk20_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100])]),c_0_101]) ).
cnf(c_0_103,plain,
( p101(X1)
| p101(esk20_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
i_0_43 ).
cnf(c_0_104,plain,
( p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1)
| ~ p102(esk20_1(X1)) ),
i_0_44 ).
cnf(c_0_105,negated_conjecture,
( p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(esk1_0,X10) ),
i_0_5 ).
cnf(c_0_106,plain,
( p102(X1)
| r1(X1,esk18_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
i_0_54 ).
cnf(c_0_107,plain,
epred1_1(esk20_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_102]),c_0_88])]) ).
cnf(c_0_108,plain,
p101(esk20_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_99]),c_0_100])]),c_0_101]) ).
cnf(c_0_109,plain,
~ p102(esk20_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_99]),c_0_100])]),c_0_101]) ).
cnf(c_0_110,plain,
( p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_88]) ).
cnf(c_0_111,plain,
r1(esk20_1(esk1_0),esk18_1(esk20_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108])]),c_0_109]) ).
cnf(c_0_112,plain,
( p102(X1)
| p102(esk18_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
i_0_51 ).
cnf(c_0_113,plain,
( p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1)
| ~ p103(esk18_1(X1)) ),
i_0_52 ).
cnf(c_0_114,plain,
( p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_88]) ).
cnf(c_0_115,plain,
( p103(X1)
| r1(X1,esk16_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
i_0_62 ).
cnf(c_0_116,plain,
epred1_1(esk18_1(esk20_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_111]),c_0_102])]) ).
cnf(c_0_117,plain,
p102(esk18_1(esk20_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_107]),c_0_108])]),c_0_109]) ).
cnf(c_0_118,plain,
~ p103(esk18_1(esk20_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_107]),c_0_108])]),c_0_109]) ).
cnf(c_0_119,plain,
( p5(X1)
| ~ r1(esk20_1(esk1_0),X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_102]),c_0_88])]) ).
cnf(c_0_120,plain,
( epred1_1(X1)
| ~ r1(esk18_1(esk20_1(esk1_0)),X2)
| ~ r1(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_111]),c_0_102])]) ).
cnf(c_0_121,plain,
r1(esk18_1(esk20_1(esk1_0)),esk16_1(esk18_1(esk20_1(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117])]),c_0_118]) ).
cnf(c_0_122,plain,
( p103(X1)
| p103(esk16_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
i_0_59 ).
cnf(c_0_123,plain,
( p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1)
| ~ p104(esk16_1(X1)) ),
i_0_60 ).
cnf(c_0_124,plain,
( p5(X1)
| ~ r1(esk18_1(esk20_1(esk1_0)),X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_111]),c_0_88])]) ).
cnf(c_0_125,plain,
( p104(X1)
| r1(X1,esk14_1(X1))
| ~ p103(X1)
| ~ epred1_1(X1) ),
i_0_70 ).
cnf(c_0_126,plain,
epred1_1(esk16_1(esk18_1(esk20_1(esk1_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_88])]) ).
cnf(c_0_127,plain,
p103(esk16_1(esk18_1(esk20_1(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_116]),c_0_117])]),c_0_118]) ).
cnf(c_0_128,plain,
~ p104(esk16_1(esk18_1(esk20_1(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_116]),c_0_117])]),c_0_118]) ).
cnf(c_0_129,plain,
( p104(X1)
| ~ p103(X1)
| ~ epred1_1(X1)
| ~ p5(esk14_1(X1)) ),
i_0_69 ).
cnf(c_0_130,plain,
( p5(X1)
| ~ r1(esk16_1(esk18_1(esk20_1(esk1_0))),X2)
| ~ r1(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_121]),c_0_88])]) ).
cnf(c_0_131,plain,
r1(esk16_1(esk18_1(esk20_1(esk1_0))),esk14_1(esk16_1(esk18_1(esk20_1(esk1_0))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127])]),c_0_128]) ).
cnf(c_0_132,plain,
~ p5(esk14_1(esk16_1(esk18_1(esk20_1(esk1_0))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_126]),c_0_127])]),c_0_128]) ).
cnf(c_0_133,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_88])]),c_0_132]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LCL656+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 4 20:49:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.96/2.29 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.96/2.29 # No SInE strategy applied
% 7.96/2.29 # Trying AutoSched0 for 150 seconds
% 7.96/2.29 # AutoSched0-Mode selected heuristic G_E___107_C12_11_nc_F1_PI_AE_Q4_CS_SP_PS_S071I
% 7.96/2.29 # and selection function SelectCQArEqLast.
% 7.96/2.29 #
% 7.96/2.29 # Preprocessing time : 0.026 s
% 7.96/2.29 # Presaturation interreduction done
% 7.96/2.29
% 7.96/2.29 # Proof found!
% 7.96/2.29 # SZS status Theorem
% 7.96/2.29 # SZS output start CNFRefutation
% See solution above
% 7.96/2.29 # Training examples: 0 positive, 0 negative
% 7.96/2.29
% 7.96/2.29 # -------------------------------------------------
% 7.96/2.29 # User time : 0.087 s
% 7.96/2.29 # System time : 0.007 s
% 7.96/2.29 # Total time : 0.093 s
% 7.96/2.29 # Maximum resident set size: 7124 pages
% 7.96/2.29
%------------------------------------------------------------------------------