TSTP Solution File: SEU237+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU237+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 : Tue Jul 19 08:39:56 EDT 2022
% Result : Timeout 296.97s 39.15s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 25
% Syntax : Number of clauses : 96 ( 26 unt; 25 nHn; 80 RR)
% Number of literals : 215 ( 45 equ; 86 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 113 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_117,plain,
( ordinal(X1)
| ~ ordinal(X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_117) ).
cnf(i_0_30,plain,
( X1 = union(X2)
| in(esk5_2(X2,X1),X1)
| in(esk6_2(X2,X1),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_30) ).
cnf(i_0_26,plain,
( subset(X1,X2)
| ~ epsilon_transitive(X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_26) ).
cnf(i_0_5,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_5) ).
cnf(i_0_125,negated_conjecture,
ordinal(esk20_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_125) ).
cnf(i_0_31,plain,
( X1 = union(X2)
| in(esk5_2(X2,X1),X1)
| in(esk5_2(X2,X1),esk6_2(X2,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_31) ).
cnf(i_0_29,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_29) ).
cnf(i_0_32,plain,
( X1 = union(X2)
| ~ in(X3,X2)
| ~ in(esk5_2(X2,X1),X3)
| ~ in(esk5_2(X2,X1),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_32) ).
cnf(i_0_113,plain,
in(X1,set_union2(X1,singleton(X1))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_113) ).
cnf(i_0_121,negated_conjecture,
( being_limit_ordinal(esk20_0)
| in(set_union2(X1,singleton(X1)),esk20_0)
| ~ ordinal(X1)
| ~ in(X1,esk20_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_121) ).
cnf(i_0_36,plain,
( being_limit_ordinal(X1)
| union(X1) != X1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_36) ).
cnf(i_0_23,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_23) ).
cnf(i_0_28,plain,
( subset(X1,X2)
| in(esk3_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_28) ).
cnf(i_0_37,plain,
( union(X1) = X1
| ~ being_limit_ordinal(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_37) ).
cnf(i_0_27,plain,
( subset(X1,X2)
| ~ in(esk3_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_27) ).
cnf(i_0_123,negated_conjecture,
( in(esk21_0,esk20_0)
| ~ being_limit_ordinal(esk20_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_123) ).
cnf(i_0_131,plain,
( subset(set_union2(X1,X2),X3)
| ~ subset(X2,X3)
| ~ subset(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_131) ).
cnf(i_0_124,negated_conjecture,
( ordinal(esk21_0)
| ~ being_limit_ordinal(esk20_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_124) ).
cnf(i_0_38,plain,
( X1 = X2
| proper_subset(X1,X2)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_38) ).
cnf(i_0_66,plain,
( epsilon_transitive(set_union2(X1,singleton(X1)))
| ~ ordinal(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_66) ).
cnf(i_0_122,negated_conjecture,
( ~ being_limit_ordinal(esk20_0)
| ~ in(set_union2(esk21_0,singleton(esk21_0)),esk20_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_122) ).
cnf(i_0_34,plain,
( in(esk4_3(X1,X2,X3),X1)
| X2 != union(X1)
| ~ in(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_34) ).
cnf(i_0_116,plain,
( in(X1,X2)
| ~ ordinal(X2)
| ~ epsilon_transitive(X1)
| ~ proper_subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_116) ).
cnf(i_0_35,plain,
( in(X1,esk4_3(X2,X3,X1))
| X3 != union(X2)
| ~ in(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_35) ).
cnf(i_0_16,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-kgc6q_0c/input.p',i_0_16) ).
cnf(c_0_157,plain,
( ordinal(X1)
| ~ ordinal(X2)
| ~ in(X1,X2) ),
i_0_117 ).
cnf(c_0_158,plain,
( X1 = union(X2)
| in(esk5_2(X2,X1),X1)
| in(esk6_2(X2,X1),X2) ),
i_0_30 ).
cnf(c_0_159,plain,
( subset(X1,X2)
| ~ epsilon_transitive(X2)
| ~ in(X1,X2) ),
i_0_26 ).
cnf(c_0_160,plain,
( epsilon_transitive(X1)
| ~ ordinal(X1) ),
i_0_5 ).
cnf(c_0_161,negated_conjecture,
ordinal(esk20_0),
i_0_125 ).
cnf(c_0_162,plain,
( X1 = union(X2)
| in(esk5_2(X2,X1),X1)
| in(esk5_2(X2,X1),esk6_2(X2,X1)) ),
i_0_31 ).
cnf(c_0_163,plain,
( X1 = union(X2)
| in(esk5_2(X2,X1),X1)
| ordinal(esk6_2(X2,X1))
| ~ ordinal(X2) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_164,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_29 ).
cnf(c_0_165,plain,
( X1 = union(X2)
| in(esk5_2(X2,X1),X1)
| subset(esk6_2(X2,X1),X2)
| ~ epsilon_transitive(X2) ),
inference(spm,[status(thm)],[c_0_159,c_0_158]) ).
cnf(c_0_166,negated_conjecture,
epsilon_transitive(esk20_0),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_167,plain,
( X1 = union(X2)
| in(esk5_2(X2,X1),X1)
| ordinal(esk5_2(X2,X1))
| ~ ordinal(esk6_2(X2,X1)) ),
inference(spm,[status(thm)],[c_0_157,c_0_162]) ).
cnf(c_0_168,negated_conjecture,
( X1 = union(esk20_0)
| in(esk5_2(esk20_0,X1),X1)
| ordinal(esk6_2(esk20_0,X1)) ),
inference(spm,[status(thm)],[c_0_163,c_0_161]) ).
cnf(c_0_169,plain,
( X1 = union(X2)
| in(esk5_2(X2,X1),X1)
| in(esk5_2(X2,X1),X3)
| ~ subset(esk6_2(X2,X1),X3) ),
inference(spm,[status(thm)],[c_0_164,c_0_162]) ).
cnf(c_0_170,negated_conjecture,
( X1 = union(esk20_0)
| in(esk5_2(esk20_0,X1),X1)
| subset(esk6_2(esk20_0,X1),esk20_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_171,negated_conjecture,
( X1 = union(esk20_0)
| in(esk5_2(esk20_0,X1),X1)
| ordinal(esk5_2(esk20_0,X1)) ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_172,negated_conjecture,
( X1 = union(esk20_0)
| in(esk5_2(esk20_0,X1),esk20_0)
| in(esk5_2(esk20_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_173,plain,
( X1 = union(esk20_0)
| ordinal(esk5_2(esk20_0,X1))
| ~ ordinal(X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_171]) ).
cnf(c_0_174,plain,
( X1 = union(X2)
| ~ in(X3,X2)
| ~ in(esk5_2(X2,X1),X3)
| ~ in(esk5_2(X2,X1),X1) ),
i_0_32 ).
cnf(c_0_175,plain,
in(X1,set_union2(X1,singleton(X1))),
i_0_113 ).
cnf(c_0_176,negated_conjecture,
( being_limit_ordinal(esk20_0)
| in(set_union2(X1,singleton(X1)),esk20_0)
| ~ ordinal(X1)
| ~ in(X1,esk20_0) ),
i_0_121 ).
cnf(c_0_177,negated_conjecture,
( union(esk20_0) = esk20_0
| in(esk5_2(esk20_0,esk20_0),esk20_0) ),
inference(ef,[status(thm)],[c_0_172]) ).
cnf(c_0_178,negated_conjecture,
( union(esk20_0) = esk20_0
| ordinal(esk5_2(esk20_0,esk20_0)) ),
inference(spm,[status(thm)],[c_0_173,c_0_161]) ).
cnf(c_0_179,plain,
( being_limit_ordinal(X1)
| union(X1) != X1 ),
i_0_36 ).
cnf(c_0_180,plain,
( X1 = X2
| X3 != singleton(X2)
| ~ in(X1,X3) ),
i_0_23 ).
cnf(c_0_181,plain,
( subset(X1,X2)
| in(esk3_2(X1,X2),X1) ),
i_0_28 ).
cnf(c_0_182,plain,
( X1 = union(X2)
| ~ in(set_union2(esk5_2(X2,X1),singleton(esk5_2(X2,X1))),X2)
| ~ in(esk5_2(X2,X1),X1) ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_183,negated_conjecture,
( being_limit_ordinal(esk20_0)
| in(set_union2(esk5_2(esk20_0,esk20_0),singleton(esk5_2(esk20_0,esk20_0))),esk20_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]),c_0_179]) ).
cnf(c_0_184,plain,
( union(X1) = X1
| ~ being_limit_ordinal(X1) ),
i_0_37 ).
cnf(c_0_185,plain,
( esk3_2(X1,X2) = X3
| subset(X1,X2)
| X1 != singleton(X3) ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_186,plain,
union(esk20_0) = esk20_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_177]),c_0_184]) ).
cnf(c_0_187,plain,
( subset(X1,X2)
| ~ in(esk3_2(X1,X2),X2) ),
i_0_27 ).
cnf(c_0_188,plain,
( esk3_2(singleton(X1),X2) = X1
| subset(singleton(X1),X2) ),
inference(er,[status(thm)],[c_0_185]) ).
cnf(c_0_189,negated_conjecture,
( in(esk21_0,esk20_0)
| ~ being_limit_ordinal(esk20_0) ),
i_0_123 ).
cnf(c_0_190,plain,
being_limit_ordinal(esk20_0),
inference(spm,[status(thm)],[c_0_179,c_0_186]) ).
cnf(c_0_191,plain,
( subset(singleton(X1),X2)
| ~ in(X1,X2) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_192,negated_conjecture,
in(esk21_0,esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_190])]) ).
cnf(c_0_193,plain,
( subset(set_union2(X1,X2),X3)
| ~ subset(X2,X3)
| ~ subset(X1,X3) ),
i_0_131 ).
cnf(c_0_194,plain,
subset(singleton(esk21_0),esk20_0),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_195,plain,
( subset(set_union2(X1,singleton(esk21_0)),esk20_0)
| ~ subset(X1,esk20_0) ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_196,plain,
subset(esk21_0,esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_192]),c_0_166])]) ).
cnf(c_0_197,negated_conjecture,
( ordinal(esk21_0)
| ~ being_limit_ordinal(esk20_0) ),
i_0_124 ).
cnf(c_0_198,plain,
( X1 = X2
| proper_subset(X1,X2)
| ~ subset(X1,X2) ),
i_0_38 ).
cnf(c_0_199,plain,
subset(set_union2(esk21_0,singleton(esk21_0)),esk20_0),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_200,plain,
( epsilon_transitive(set_union2(X1,singleton(X1)))
| ~ ordinal(X1) ),
i_0_66 ).
cnf(c_0_201,negated_conjecture,
ordinal(esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_190])]) ).
cnf(c_0_202,negated_conjecture,
( ~ being_limit_ordinal(esk20_0)
| ~ in(set_union2(esk21_0,singleton(esk21_0)),esk20_0) ),
i_0_122 ).
cnf(c_0_203,plain,
( in(esk4_3(X1,X2,X3),X1)
| X2 != union(X1)
| ~ in(X3,X2) ),
i_0_34 ).
cnf(c_0_204,plain,
( in(X1,X2)
| ~ ordinal(X2)
| ~ epsilon_transitive(X1)
| ~ proper_subset(X1,X2) ),
i_0_116 ).
cnf(c_0_205,plain,
( set_union2(esk21_0,singleton(esk21_0)) = esk20_0
| proper_subset(set_union2(esk21_0,singleton(esk21_0)),esk20_0) ),
inference(spm,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_206,plain,
epsilon_transitive(set_union2(esk21_0,singleton(esk21_0))),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_207,negated_conjecture,
~ in(set_union2(esk21_0,singleton(esk21_0)),esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_190])]) ).
cnf(c_0_208,plain,
( in(esk4_3(X1,set_union2(X2,singleton(X2)),X2),X1)
| set_union2(X2,singleton(X2)) != union(X1) ),
inference(spm,[status(thm)],[c_0_203,c_0_175]) ).
cnf(c_0_209,plain,
set_union2(esk21_0,singleton(esk21_0)) = esk20_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206]),c_0_161])]),c_0_207]) ).
cnf(c_0_210,plain,
( in(X1,esk4_3(X2,X3,X1))
| X3 != union(X2)
| ~ in(X1,X3) ),
i_0_35 ).
cnf(c_0_211,plain,
( in(esk4_3(X1,esk20_0,esk21_0),X1)
| union(X1) != esk20_0 ),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_212,plain,
( in(esk21_0,esk4_3(X1,esk20_0,esk21_0))
| union(X1) != esk20_0 ),
inference(spm,[status(thm)],[c_0_210,c_0_192]) ).
cnf(c_0_213,plain,
in(esk4_3(esk20_0,esk20_0,esk21_0),esk20_0),
inference(spm,[status(thm)],[c_0_211,c_0_186]) ).
cnf(c_0_214,plain,
in(esk21_0,esk4_3(esk20_0,esk20_0,esk21_0)),
inference(spm,[status(thm)],[c_0_212,c_0_186]) ).
cnf(c_0_215,plain,
ordinal(esk4_3(esk20_0,esk20_0,esk21_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_213]),c_0_161])]) ).
cnf(c_0_216,plain,
subset(singleton(esk21_0),esk4_3(esk20_0,esk20_0,esk21_0)),
inference(spm,[status(thm)],[c_0_191,c_0_214]) ).
cnf(c_0_217,plain,
( subset(esk21_0,esk4_3(esk20_0,esk20_0,esk21_0))
| ~ epsilon_transitive(esk4_3(esk20_0,esk20_0,esk21_0)) ),
inference(spm,[status(thm)],[c_0_159,c_0_214]) ).
cnf(c_0_218,plain,
epsilon_transitive(esk4_3(esk20_0,esk20_0,esk21_0)),
inference(spm,[status(thm)],[c_0_160,c_0_215]) ).
cnf(c_0_219,plain,
( X1 = X2
| ~ subset(X2,X1)
| ~ subset(X1,X2) ),
i_0_16 ).
cnf(c_0_220,plain,
subset(esk4_3(esk20_0,esk20_0,esk21_0),esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_213]),c_0_166])]) ).
cnf(c_0_221,plain,
( subset(set_union2(X1,singleton(esk21_0)),esk4_3(esk20_0,esk20_0,esk21_0))
| ~ subset(X1,esk4_3(esk20_0,esk20_0,esk21_0)) ),
inference(spm,[status(thm)],[c_0_193,c_0_216]) ).
cnf(c_0_222,plain,
subset(esk21_0,esk4_3(esk20_0,esk20_0,esk21_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_218])]) ).
cnf(c_0_223,plain,
( esk4_3(esk20_0,esk20_0,esk21_0) = esk20_0
| ~ subset(esk20_0,esk4_3(esk20_0,esk20_0,esk21_0)) ),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_224,plain,
subset(esk20_0,esk4_3(esk20_0,esk20_0,esk21_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_209]) ).
cnf(c_0_225,plain,
esk4_3(esk20_0,esk20_0,esk21_0) = esk20_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_224])]) ).
cnf(c_0_226,negated_conjecture,
~ in(esk20_0,esk20_0),
inference(rw,[status(thm)],[c_0_207,c_0_209]) ).
cnf(c_0_227,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_225]),c_0_226]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU237+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n025.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 : Sun Jun 19 13:07:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 296.97/39.15 # ENIGMATIC: Solved by paramils045:
% 296.97/39.15 # Preprocessing time : 0.017 s
% 296.97/39.15
% 296.97/39.15 # Proof found!
% 296.97/39.15 # SZS status Theorem
% 296.97/39.15 # SZS output start CNFRefutation
% See solution above
% 296.97/39.15 # Training examples: 0 positive, 0 negative
% 296.97/39.15
% 296.97/39.15 # -------------------------------------------------
% 296.97/39.15 # User time : 9.706 s
% 296.97/39.15 # System time : 0.098 s
% 296.97/39.15 # Total time : 9.804 s
% 296.97/39.15 # ...preprocessing : 0.017 s
% 296.97/39.15 # ...main loop : 9.787 s
% 296.97/39.15 # Maximum resident set size: 136616 pages
% 296.97/39.15
%------------------------------------------------------------------------------