TSTP Solution File: LCL475+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL475+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n004.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 09:26:18 EDT 2022
% Result : Theorem 263.97s 34.55s
% Output : CNFRefutation 263.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 16
% Syntax : Number of clauses : 82 ( 51 unt; 0 nHn; 32 RR)
% Number of literals : 118 ( 9 equ; 40 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 154 ( 27 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_40,plain,
( is_a_theorem(X1)
| ~ modus_ponens
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-evd4hxnp/input.p',i_0_40) ).
cnf(i_0_34,plain,
modus_ponens,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-evd4hxnp/input.p',i_0_34) ).
cnf(i_0_8,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))
| ~ cn1 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-evd4hxnp/input.p',i_0_8) ).
cnf(i_0_31,plain,
cn1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-evd4hxnp/input.p',i_0_31) ).
cnf(i_0_10,plain,
( is_a_theorem(implies(X1,implies(not(X1),X2)))
| ~ cn2 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-evd4hxnp/input.p',i_0_10) ).
cnf(i_0_32,plain,
cn2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-evd4hxnp/input.p',i_0_32) ).
cnf(i_0_12,plain,
( is_a_theorem(implies(implies(not(X1),X1),X1))
| ~ cn3 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-evd4hxnp/input.p',i_0_12) ).
cnf(i_0_33,plain,
cn3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-evd4hxnp/input.p',i_0_33) ).
cnf(i_0_46,plain,
( or(not(X1),X2) = implies(X1,X2)
| ~ op_implies_or ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-evd4hxnp/input.p',i_0_46) ).
cnf(i_0_56,plain,
op_implies_or,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-evd4hxnp/input.p',i_0_56) ).
cnf(i_0_43,plain,
( not(or(not(X1),not(X2))) = and(X1,X2)
| ~ op_and ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-evd4hxnp/input.p',i_0_43) ).
cnf(i_0_54,plain,
op_and,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-evd4hxnp/input.p',i_0_54) ).
cnf(i_0_58,plain,
( r1
| ~ is_a_theorem(implies(or(esk43_0,esk43_0),esk43_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-evd4hxnp/input.p',i_0_58) ).
cnf(i_0_57,negated_conjecture,
~ r1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-evd4hxnp/input.p',i_0_57) ).
cnf(i_0_47,plain,
( not(and(not(X1),not(X2))) = or(X1,X2)
| ~ op_or ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-evd4hxnp/input.p',i_0_47) ).
cnf(i_0_36,plain,
op_or,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-evd4hxnp/input.p',i_0_36) ).
cnf(c_0_75,plain,
( is_a_theorem(X1)
| ~ modus_ponens
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,X1)) ),
i_0_40 ).
cnf(c_0_76,plain,
modus_ponens,
i_0_34 ).
cnf(c_0_77,plain,
( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))))
| ~ cn1 ),
i_0_8 ).
cnf(c_0_78,plain,
cn1,
i_0_31 ).
cnf(c_0_79,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76])]) ).
cnf(c_0_80,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]) ).
cnf(c_0_81,plain,
( is_a_theorem(implies(X1,implies(not(X1),X2)))
| ~ cn2 ),
i_0_10 ).
cnf(c_0_82,plain,
cn2,
i_0_32 ).
cnf(c_0_83,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_84,plain,
( is_a_theorem(implies(implies(not(X1),X1),X1))
| ~ cn3 ),
i_0_12 ).
cnf(c_0_85,plain,
cn3,
i_0_33 ).
cnf(c_0_86,plain,
is_a_theorem(implies(X1,implies(not(X1),X2))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82])]) ).
cnf(c_0_87,plain,
is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(implies(X3,X1),X4))),
inference(spm,[status(thm)],[c_0_83,c_0_80]) ).
cnf(c_0_88,plain,
is_a_theorem(implies(implies(not(X1),X1),X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]) ).
cnf(c_0_89,plain,
is_a_theorem(implies(implies(implies(not(X1),X2),X3),implies(X1,X3))),
inference(spm,[status(thm)],[c_0_83,c_0_86]) ).
cnf(c_0_90,plain,
( is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(implies(implies(X2,X4),implies(X1,X4)),X3)) ),
inference(spm,[status(thm)],[c_0_79,c_0_87]) ).
cnf(c_0_91,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(not(X1),X1),X2))),
inference(spm,[status(thm)],[c_0_83,c_0_88]) ).
cnf(c_0_92,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(not(X1),X3),X2)) ),
inference(spm,[status(thm)],[c_0_79,c_0_89]) ).
cnf(c_0_93,plain,
is_a_theorem(implies(implies(X1,not(X2)),implies(X2,implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_90,c_0_89]) ).
cnf(c_0_94,plain,
is_a_theorem(implies(implies(implies(implies(not(X1),X1),X2),X3),implies(implies(X1,X2),X3))),
inference(spm,[status(thm)],[c_0_83,c_0_91]) ).
cnf(c_0_95,plain,
is_a_theorem(implies(X1,implies(X2,implies(not(X1),X3)))),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_96,plain,
is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(implies(X2,X3),implies(X1,X3)))),
inference(spm,[status(thm)],[c_0_90,c_0_94]) ).
cnf(c_0_97,plain,
( is_a_theorem(implies(X1,implies(not(X2),X3)))
| ~ is_a_theorem(X2) ),
inference(spm,[status(thm)],[c_0_79,c_0_95]) ).
cnf(c_0_98,plain,
is_a_theorem(implies(X1,X1)),
inference(spm,[status(thm)],[c_0_92,c_0_88]) ).
cnf(c_0_99,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X3,implies(not(X1),X1))) ),
inference(spm,[status(thm)],[c_0_79,c_0_96]) ).
cnf(c_0_100,plain,
is_a_theorem(implies(X1,implies(not(implies(X2,X2)),X3))),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_101,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_102,plain,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(implies(X4,X2),implies(X1,implies(X4,X3))))),
inference(spm,[status(thm)],[c_0_90,c_0_87]) ).
cnf(c_0_103,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X3),X2)) ),
inference(spm,[status(thm)],[c_0_79,c_0_101]) ).
cnf(c_0_104,plain,
is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X3,X3),X1),X2))),
inference(spm,[status(thm)],[c_0_99,c_0_101]) ).
cnf(c_0_105,plain,
is_a_theorem(implies(implies(implies(X1,implies(not(X2),X3)),X4),implies(X2,X4))),
inference(spm,[status(thm)],[c_0_83,c_0_95]) ).
cnf(c_0_106,plain,
( is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X4))))
| ~ is_a_theorem(implies(X3,implies(X2,X4))) ),
inference(spm,[status(thm)],[c_0_79,c_0_102]) ).
cnf(c_0_107,plain,
is_a_theorem(implies(X1,implies(implies(not(X2),X2),X2))),
inference(spm,[status(thm)],[c_0_103,c_0_91]) ).
cnf(c_0_108,plain,
( is_a_theorem(implies(implies(implies(X1,X1),X2),X3))
| ~ is_a_theorem(implies(X2,X3)) ),
inference(spm,[status(thm)],[c_0_79,c_0_104]) ).
cnf(c_0_109,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,implies(not(X1),X4)),X2)) ),
inference(spm,[status(thm)],[c_0_79,c_0_105]) ).
cnf(c_0_110,plain,
is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X3,implies(X1,X2)))),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,plain,
is_a_theorem(implies(implies(implies(X1,X1),X2),X2)),
inference(spm,[status(thm)],[c_0_108,c_0_98]) ).
cnf(c_0_112,plain,
is_a_theorem(implies(X1,implies(X2,implies(X3,X1)))),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_113,plain,
is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(implies(X2,not(X1)),X4))),
inference(spm,[status(thm)],[c_0_83,c_0_93]) ).
cnf(c_0_114,plain,
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X2,X2),X1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_111]) ).
cnf(c_0_115,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X1,implies(not(X2),X2)),X3))),
inference(spm,[status(thm)],[c_0_99,c_0_110]) ).
cnf(c_0_116,plain,
is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))),
inference(spm,[status(thm)],[c_0_99,c_0_112]) ).
cnf(c_0_117,plain,
( is_a_theorem(implies(implies(X1,not(X2)),X3))
| ~ is_a_theorem(implies(implies(X2,implies(X1,X4)),X3)) ),
inference(spm,[status(thm)],[c_0_79,c_0_113]) ).
cnf(c_0_118,plain,
is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_119,plain,
( or(not(X1),X2) = implies(X1,X2)
| ~ op_implies_or ),
i_0_46 ).
cnf(c_0_120,plain,
op_implies_or,
i_0_56 ).
cnf(c_0_121,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
inference(spm,[status(thm)],[c_0_79,c_0_116]) ).
cnf(c_0_122,plain,
is_a_theorem(implies(implies(not(X1),not(X2)),implies(X2,X1))),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_123,plain,
( not(or(not(X1),not(X2))) = and(X1,X2)
| ~ op_and ),
i_0_43 ).
cnf(c_0_124,plain,
or(not(X1),X2) = implies(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_120])]) ).
cnf(c_0_125,plain,
op_and,
i_0_54 ).
cnf(c_0_126,plain,
is_a_theorem(implies(not(X1),implies(X1,X2))),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_127,plain,
( r1
| ~ is_a_theorem(implies(or(esk43_0,esk43_0),esk43_0)) ),
i_0_58 ).
cnf(c_0_128,negated_conjecture,
~ r1,
i_0_57 ).
cnf(c_0_129,plain,
( not(and(not(X1),not(X2))) = or(X1,X2)
| ~ op_or ),
i_0_47 ).
cnf(c_0_130,plain,
and(X1,X2) = not(implies(X1,not(X2))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124]),c_0_125])]) ).
cnf(c_0_131,plain,
op_or,
i_0_36 ).
cnf(c_0_132,plain,
is_a_theorem(implies(implies(X1,X2),implies(not(not(X1)),X2))),
inference(spm,[status(thm)],[c_0_99,c_0_126]) ).
cnf(c_0_133,plain,
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(not(X2),X2))) ),
inference(spm,[status(thm)],[c_0_79,c_0_118]) ).
cnf(c_0_134,plain,
~ is_a_theorem(implies(or(esk43_0,esk43_0),esk43_0)),
inference(sr,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_135,plain,
or(X1,X2) = not(not(implies(not(X1),not(not(X2))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_130]),c_0_131])]) ).
cnf(c_0_136,plain,
( is_a_theorem(implies(not(not(X1)),X2))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(spm,[status(thm)],[c_0_79,c_0_132]) ).
cnf(c_0_137,plain,
is_a_theorem(implies(implies(not(X1),not(not(X1))),X1)),
inference(spm,[status(thm)],[c_0_133,c_0_122]) ).
cnf(c_0_138,plain,
~ is_a_theorem(implies(not(not(implies(not(esk43_0),not(not(esk43_0))))),esk43_0)),
inference(rw,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_139,plain,
is_a_theorem(implies(not(not(implies(not(X1),not(not(X1))))),X1)),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_140,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_139])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL475+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.19/0.34 % DateTime : Mon Jul 4 01:15:09 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.20/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 263.97/34.55 # ENIGMATIC: Solved by Enigma+T5d16l600+G_E___200_B02_F1_SE_CS_SP_PI_S0S+loop07+coop:
% 263.97/34.55 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/T5d16l600/G_E___200_B02_F1_SE_CS_SP_PI_S0S/loop07/model.lgb' loaded. (hash_base: 32768; conj_feats: 9; version: 991; iters: 200)
% 263.97/34.55 # Preprocessing time : 0.157 s
% 263.97/34.55
% 263.97/34.55 # Proof found!
% 263.97/34.55 # SZS status Theorem
% 263.97/34.55 # SZS output start CNFRefutation
% See solution above
% 263.97/34.55 # Training examples: 0 positive, 0 negative
% 263.97/34.55
% 263.97/34.55 # -------------------------------------------------
% 263.97/34.55 # User time : 0.906 s
% 263.97/34.55 # System time : 0.039 s
% 263.97/34.55 # Total time : 0.945 s
% 263.97/34.55 # ...preprocessing : 0.157 s
% 263.97/34.55 # ...main loop : 0.788 s
% 263.97/34.55 # Maximum resident set size: 33660 pages
% 263.97/34.55
%------------------------------------------------------------------------------