TSTP Solution File: SYN469+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SYN469+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n007.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 : Thu Jul 21 04:53:43 EDT 2022
% Result : Theorem 58.54s 9.08s
% Output : CNFRefutation 58.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 148
% Syntax : Number of formulae : 587 ( 2 unt; 0 def)
% Number of atoms : 2204 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2568 ( 951 ~;1580 |; 0 &)
% ( 37 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 66 ( 65 usr; 62 prp; 0-1 aty)
% Number of functors : 23 ( 23 usr; 23 con; 0-0 aty)
% Number of variables : 232 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_124,negated_conjecture,
( ndr1_0
| ~ hskp15 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_124) ).
cnf(i_0_3,negated_conjecture,
( hskp3
| hskp7
| hskp15 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_3) ).
cnf(i_0_172,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_172) ).
cnf(i_0_156,negated_conjecture,
( ndr1_0
| ~ hskp7 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_156) ).
cnf(i_0_5,negated_conjecture,
( hskp4
| hskp9
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_5) ).
cnf(i_0_15,negated_conjecture,
( hskp9
| hskp12
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_15) ).
cnf(i_0_13,negated_conjecture,
( hskp25
| hskp28
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_13) ).
cnf(i_0_17,negated_conjecture,
( hskp2
| hskp7
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_17) ).
cnf(i_0_12,negated_conjecture,
( hskp2
| hskp13
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_12) ).
cnf(i_0_10,negated_conjecture,
( hskp20
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_10) ).
cnf(i_0_18,negated_conjecture,
( hskp4
| hskp28
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_18) ).
cnf(i_0_27,negated_conjecture,
( hskp1
| hskp12
| c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_27) ).
cnf(i_0_83,negated_conjecture,
( c0_1(a405)
| ~ hskp25 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_83) ).
cnf(i_0_81,negated_conjecture,
( c3_1(a405)
| ~ hskp25 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_81) ).
cnf(i_0_167,negated_conjecture,
( c0_1(a404)
| ~ hskp4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_167) ).
cnf(i_0_166,negated_conjecture,
( c3_1(a404)
| ~ hskp4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_166) ).
cnf(i_0_165,negated_conjecture,
( ~ hskp4
| ~ c2_1(a404) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_165) ).
cnf(i_0_71,negated_conjecture,
( c0_1(a414)
| ~ hskp28 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_71) ).
cnf(i_0_70,negated_conjecture,
( c2_1(a414)
| ~ hskp28 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_70) ).
cnf(i_0_69,negated_conjecture,
( c3_1(a414)
| ~ hskp28 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_69) ).
cnf(i_0_103,negated_conjecture,
( c1_1(a449)
| ~ hskp20 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_103) ).
cnf(i_0_102,negated_conjecture,
( c3_1(a449)
| ~ hskp20 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_102) ).
cnf(i_0_101,negated_conjecture,
( ~ hskp20
| ~ c2_1(a449) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_101) ).
cnf(i_0_20,negated_conjecture,
( hskp2
| hskp11
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_20) ).
cnf(i_0_91,negated_conjecture,
( c1_1(a460)
| ~ hskp23 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_91) ).
cnf(i_0_90,negated_conjecture,
( ~ hskp23
| ~ c2_1(a460) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_90) ).
cnf(i_0_89,negated_conjecture,
( ~ hskp23
| ~ c3_1(a460) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_89) ).
cnf(i_0_134,negated_conjecture,
( c1_1(a426)
| ~ hskp12 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_134) ).
cnf(i_0_133,negated_conjecture,
( ~ hskp12
| ~ c2_1(a426) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_133) ).
cnf(i_0_135,negated_conjecture,
( c0_1(a426)
| ~ hskp12 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_135) ).
cnf(i_0_155,negated_conjecture,
( c0_1(a410)
| ~ hskp7 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_155) ).
cnf(i_0_154,negated_conjecture,
( ~ hskp7
| ~ c1_1(a410) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_154) ).
cnf(i_0_153,negated_conjecture,
( ~ hskp7
| ~ c3_1(a410) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_153) ).
cnf(i_0_175,negated_conjecture,
( c0_1(a402)
| ~ hskp2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_175) ).
cnf(i_0_173,negated_conjecture,
( ~ hskp2
| ~ c2_1(a402) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_173) ).
cnf(i_0_174,negated_conjecture,
( ~ hskp2
| ~ c1_1(a402) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_174) ).
cnf(i_0_66,negated_conjecture,
( hskp1
| hskp2
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_66) ).
cnf(i_0_111,negated_conjecture,
( c0_1(a440)
| ~ hskp18 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_111) ).
cnf(i_0_110,negated_conjecture,
( ~ hskp18
| ~ c2_1(a440) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_110) ).
cnf(i_0_109,negated_conjecture,
( ~ hskp18
| ~ c3_1(a440) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_109) ).
cnf(i_0_2,negated_conjecture,
( hskp18
| hskp20
| hskp23 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_2) ).
cnf(i_0_131,negated_conjecture,
( c1_1(a427)
| ~ hskp13 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_131) ).
cnf(i_0_130,negated_conjecture,
( c2_1(a427)
| ~ hskp13 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_130) ).
cnf(i_0_129,negated_conjecture,
( ~ hskp13
| ~ c0_1(a427) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_129) ).
cnf(i_0_16,negated_conjecture,
( hskp23
| hskp27
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_16) ).
cnf(i_0_51,negated_conjecture,
( hskp8
| hskp9
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_51) ).
cnf(i_0_178,negated_conjecture,
( c1_1(a401)
| ~ hskp1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_178) ).
cnf(i_0_179,negated_conjecture,
( c0_1(a401)
| ~ hskp1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_179) ).
cnf(i_0_177,negated_conjecture,
( ~ hskp1
| ~ c3_1(a401) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_177) ).
cnf(i_0_138,negated_conjecture,
( ~ hskp11
| ~ c1_1(a420) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_138) ).
cnf(i_0_137,negated_conjecture,
( ~ hskp11
| ~ c2_1(a420) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_137) ).
cnf(i_0_139,negated_conjecture,
( ~ hskp11
| ~ c0_1(a420) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_139) ).
cnf(i_0_82,negated_conjecture,
( c1_1(a405)
| ~ hskp25 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_82) ).
cnf(i_0_74,negated_conjecture,
( c1_1(a412)
| ~ hskp27 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_74) ).
cnf(i_0_73,negated_conjecture,
( c2_1(a412)
| ~ hskp27 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_73) ).
cnf(i_0_75,negated_conjecture,
( c0_1(a412)
| ~ hskp27 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_75) ).
cnf(i_0_95,negated_conjecture,
( c0_1(a451)
| ~ hskp22 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_95) ).
cnf(i_0_94,negated_conjecture,
( c2_1(a451)
| ~ hskp22 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_94) ).
cnf(i_0_93,negated_conjecture,
( ~ hskp22
| ~ c1_1(a451) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_93) ).
cnf(i_0_145,negated_conjecture,
( ~ hskp9
| ~ c1_1(a416) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_145) ).
cnf(i_0_147,negated_conjecture,
( c3_1(a416)
| ~ hskp9 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_147) ).
cnf(i_0_146,negated_conjecture,
( ~ hskp9
| ~ c0_1(a416) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_146) ).
cnf(i_0_149,negated_conjecture,
( ~ hskp8
| ~ c1_1(a415) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_149) ).
cnf(i_0_151,negated_conjecture,
( c2_1(a415)
| ~ hskp8 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_151) ).
cnf(i_0_150,negated_conjecture,
( c3_1(a415)
| ~ hskp8 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_150) ).
cnf(i_0_14,negated_conjecture,
( hskp7
| hskp16
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_14) ).
cnf(i_0_115,negated_conjecture,
( ~ hskp17
| ~ c1_1(a439) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_115) ).
cnf(i_0_114,negated_conjecture,
( ~ hskp17
| ~ c2_1(a439) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_114) ).
cnf(i_0_119,negated_conjecture,
( c1_1(a434)
| ~ hskp16 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_119) ).
cnf(i_0_118,negated_conjecture,
( ~ hskp16
| ~ c0_1(a434) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_118) ).
cnf(i_0_117,negated_conjecture,
( ~ hskp16
| ~ c3_1(a434) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_117) ).
cnf(i_0_125,negated_conjecture,
( ~ hskp14
| ~ c1_1(a428) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_125) ).
cnf(i_0_127,negated_conjecture,
( c2_1(a428)
| ~ hskp14 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_127) ).
cnf(i_0_38,negated_conjecture,
( hskp6
| hskp15
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_38) ).
cnf(i_0_159,negated_conjecture,
( c2_1(a409)
| ~ hskp6 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_159) ).
cnf(i_0_157,negated_conjecture,
( ~ hskp6
| ~ c3_1(a409) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_157) ).
cnf(i_0_158,negated_conjecture,
( ~ hskp6
| ~ c0_1(a409) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_158) ).
cnf(i_0_183,negated_conjecture,
( c1_1(a400)
| ~ hskp0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_183) ).
cnf(i_0_182,negated_conjecture,
( c2_1(a400)
| ~ hskp0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_182) ).
cnf(i_0_181,negated_conjecture,
( ~ hskp0
| ~ c3_1(a400) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_181) ).
cnf(i_0_56,negated_conjecture,
( hskp7
| c1_1(X1)
| c2_1(X2)
| c3_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_56) ).
cnf(i_0_126,negated_conjecture,
( ~ hskp14
| ~ c0_1(a428) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_126) ).
cnf(i_0_1,negated_conjecture,
( hskp3
| hskp8
| hskp17 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_1) ).
cnf(i_0_171,negated_conjecture,
( ~ hskp3
| ~ c0_1(a403) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_171) ).
cnf(i_0_170,negated_conjecture,
( ~ hskp3
| ~ c2_1(a403) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_170) ).
cnf(i_0_123,negated_conjecture,
( c0_1(a430)
| ~ hskp15 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_123) ).
cnf(i_0_121,negated_conjecture,
( ~ hskp15
| ~ c3_1(a430) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_121) ).
cnf(i_0_54,negated_conjecture,
( hskp0
| hskp27
| c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_54) ).
cnf(i_0_37,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_37) ).
cnf(i_0_33,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c2_1(X3)
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_33) ).
cnf(i_0_40,negated_conjecture,
( hskp1
| c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_40) ).
cnf(i_0_26,negated_conjecture,
( c1_1(X1)
| c3_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_26) ).
cnf(i_0_39,negated_conjecture,
( c1_1(X1)
| c3_1(X2)
| c0_1(X3)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X3)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_39) ).
cnf(i_0_122,negated_conjecture,
( c2_1(a430)
| ~ hskp15 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_122) ).
cnf(i_0_169,negated_conjecture,
( ~ hskp3
| ~ c3_1(a403) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_169) ).
cnf(i_0_67,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X3)
| ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_67) ).
cnf(i_0_31,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c2_1(X3)
| c2_1(X2)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_31) ).
cnf(i_0_61,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c1_1(X3)
| c2_1(X2)
| c0_1(X3)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_61) ).
cnf(i_0_58,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c2_1(X1)
| c3_1(X3)
| c0_1(X3)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_58) ).
cnf(i_0_63,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c2_1(X3)
| c3_1(X2)
| c3_1(X3)
| c0_1(X3)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_63) ).
cnf(i_0_24,negated_conjecture,
( hskp3
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_24) ).
cnf(i_0_34,negated_conjecture,
( hskp11
| c3_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_34) ).
cnf(i_0_21,negated_conjecture,
( hskp22
| c2_1(X1)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_21) ).
cnf(i_0_41,negated_conjecture,
( hskp14
| c2_1(X1)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_41) ).
cnf(i_0_55,negated_conjecture,
( hskp4
| c1_1(X1)
| c3_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_55) ).
cnf(i_0_45,negated_conjecture,
( hskp1
| c3_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_45) ).
cnf(i_0_42,negated_conjecture,
( hskp13
| c2_1(X1)
| c3_1(X1)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_42) ).
cnf(i_0_43,negated_conjecture,
( hskp12
| c1_1(X1)
| c3_1(X1)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_43) ).
cnf(i_0_46,negated_conjecture,
( hskp9
| c1_1(X1)
| c3_1(X1)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_46) ).
cnf(i_0_44,negated_conjecture,
( hskp9
| c1_1(X1)
| c2_1(X1)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_44) ).
cnf(i_0_57,negated_conjecture,
( hskp6
| c1_1(X1)
| c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9gikvv85/input.p',i_0_57) ).
cnf(c_0_295,negated_conjecture,
( ndr1_0
| ~ hskp15 ),
i_0_124 ).
cnf(c_0_296,negated_conjecture,
( hskp3
| hskp7
| hskp15 ),
i_0_3 ).
cnf(c_0_297,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
i_0_172 ).
cnf(c_0_298,negated_conjecture,
( ndr1_0
| ~ hskp7 ),
i_0_156 ).
cnf(c_0_299,negated_conjecture,
( hskp4
| hskp9
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
i_0_5 ).
cnf(c_0_300,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_297]),c_0_298]) ).
cnf(c_0_301,negated_conjecture,
( hskp9
| hskp12
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1) ),
i_0_15 ).
cnf(c_0_302,negated_conjecture,
( hskp25
| hskp28
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
i_0_13 ).
cnf(c_0_303,negated_conjecture,
( hskp2
| hskp7
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ),
i_0_17 ).
cnf(c_0_304,negated_conjecture,
( hskp2
| hskp13
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
i_0_12 ).
cnf(c_0_305,negated_conjecture,
( hskp20
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1) ),
i_0_10 ).
fof(c_0_306,plain,
( ~ epred31_0
<=> ! [X1] :
( c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_307,plain,
( ~ epred18_0
<=> ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_308,negated_conjecture,
( hskp4
| hskp28
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ),
i_0_18 ).
fof(c_0_309,plain,
( ~ epred50_0
<=> ! [X2] :
( c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_310,negated_conjecture,
( hskp1
| hskp12
| c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
i_0_27 ).
cnf(c_0_311,negated_conjecture,
( hskp9
| hskp4
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_300])]) ).
cnf(c_0_312,negated_conjecture,
( c0_1(a405)
| ~ hskp25 ),
i_0_83 ).
cnf(c_0_313,negated_conjecture,
( c3_1(a405)
| ~ hskp25 ),
i_0_81 ).
cnf(c_0_314,negated_conjecture,
( c2_1(X1)
| hskp12
| hskp9
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_301,c_0_300])]) ).
cnf(c_0_315,negated_conjecture,
( c0_1(a404)
| ~ hskp4 ),
i_0_167 ).
cnf(c_0_316,negated_conjecture,
( c3_1(a404)
| ~ hskp4 ),
i_0_166 ).
cnf(c_0_317,negated_conjecture,
( ~ hskp4
| ~ c2_1(a404) ),
i_0_165 ).
cnf(c_0_318,negated_conjecture,
( c0_1(a414)
| ~ hskp28 ),
i_0_71 ).
cnf(c_0_319,negated_conjecture,
( c2_1(a414)
| ~ hskp28 ),
i_0_70 ).
cnf(c_0_320,negated_conjecture,
( c3_1(a414)
| ~ hskp28 ),
i_0_69 ).
cnf(c_0_321,negated_conjecture,
( c2_1(X1)
| hskp28
| hskp25
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_302,c_0_300])]) ).
cnf(c_0_322,negated_conjecture,
( c1_1(a449)
| ~ hskp20 ),
i_0_103 ).
cnf(c_0_323,negated_conjecture,
( c3_1(a449)
| ~ hskp20 ),
i_0_102 ).
cnf(c_0_324,negated_conjecture,
( ~ hskp20
| ~ c2_1(a449) ),
i_0_101 ).
cnf(c_0_325,negated_conjecture,
( hskp2
| hskp11
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
i_0_20 ).
cnf(c_0_326,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| hskp7
| hskp2
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_303,c_0_300])]) ).
cnf(c_0_327,negated_conjecture,
( c1_1(a460)
| ~ hskp23 ),
i_0_91 ).
cnf(c_0_328,negated_conjecture,
( ~ hskp23
| ~ c2_1(a460) ),
i_0_90 ).
cnf(c_0_329,negated_conjecture,
( ~ hskp23
| ~ c3_1(a460) ),
i_0_89 ).
fof(c_0_330,plain,
( ~ epred23_0
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_331,plain,
( ~ epred24_0
<=> ! [X2] :
( hskp1
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_332,negated_conjecture,
( c2_1(X1)
| hskp13
| hskp2
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_304,c_0_300])]) ).
cnf(c_0_333,negated_conjecture,
( c1_1(a426)
| ~ hskp12 ),
i_0_134 ).
cnf(c_0_334,negated_conjecture,
( ~ hskp12
| ~ c2_1(a426) ),
i_0_133 ).
cnf(c_0_335,negated_conjecture,
( c3_1(X1)
| hskp20
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_300])]) ).
cnf(c_0_336,negated_conjecture,
( c0_1(a426)
| ~ hskp12 ),
i_0_135 ).
fof(c_0_337,plain,
( ~ epred52_0
<=> ! [X3] :
( c0_1(X3)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_338,negated_conjecture,
( epred31_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_306]) ).
cnf(c_0_339,negated_conjecture,
( epred18_0
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_307]) ).
cnf(c_0_340,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| hskp28
| hskp4
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_300])]) ).
cnf(c_0_341,negated_conjecture,
( epred50_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_309]) ).
cnf(c_0_342,negated_conjecture,
( c3_1(X1)
| c1_1(X1)
| hskp12
| hskp1
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_300])]) ).
cnf(c_0_343,negated_conjecture,
( c0_1(a410)
| ~ hskp7 ),
i_0_155 ).
cnf(c_0_344,negated_conjecture,
( ~ hskp7
| ~ c1_1(a410) ),
i_0_154 ).
cnf(c_0_345,negated_conjecture,
( ~ hskp7
| ~ c3_1(a410) ),
i_0_153 ).
cnf(c_0_346,negated_conjecture,
( c0_1(a402)
| ~ hskp2 ),
i_0_175 ).
cnf(c_0_347,negated_conjecture,
( ~ hskp2
| ~ c2_1(a402) ),
i_0_173 ).
cnf(c_0_348,negated_conjecture,
( ~ hskp2
| ~ c1_1(a402) ),
i_0_174 ).
cnf(c_0_349,negated_conjecture,
( hskp9
| hskp4
| ~ c2_1(a405)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_313]) ).
cnf(c_0_350,negated_conjecture,
( c2_1(a405)
| hskp12
| hskp9
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_312]),c_0_313]) ).
cnf(c_0_351,negated_conjecture,
( hskp12
| hskp9
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_316]),c_0_317]) ).
cnf(c_0_352,negated_conjecture,
( hskp9
| hskp4
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_318]),c_0_319]),c_0_320]) ).
cnf(c_0_353,negated_conjecture,
( hskp28
| hskp25
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_323]),c_0_324]) ).
cnf(c_0_354,negated_conjecture,
( hskp1
| hskp2
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0 ),
i_0_66 ).
cnf(c_0_355,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| hskp11
| hskp2
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_325,c_0_300])]) ).
cnf(c_0_356,negated_conjecture,
( c0_1(a440)
| ~ hskp18 ),
i_0_111 ).
cnf(c_0_357,negated_conjecture,
( ~ hskp18
| ~ c2_1(a440) ),
i_0_110 ).
cnf(c_0_358,negated_conjecture,
( ~ hskp18
| ~ c3_1(a440) ),
i_0_109 ).
cnf(c_0_359,negated_conjecture,
( hskp7
| hskp2
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_328]),c_0_329]) ).
cnf(c_0_360,negated_conjecture,
( hskp18
| hskp20
| hskp23 ),
i_0_2 ).
cnf(c_0_361,negated_conjecture,
( epred23_0
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_330]) ).
cnf(c_0_362,negated_conjecture,
( epred24_0
| c0_1(X1)
| hskp1
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_331]),c_0_300])]) ).
cnf(c_0_363,negated_conjecture,
( c1_1(a427)
| ~ hskp13 ),
i_0_131 ).
cnf(c_0_364,negated_conjecture,
( c2_1(a427)
| ~ hskp13 ),
i_0_130 ).
cnf(c_0_365,negated_conjecture,
( ~ hskp13
| ~ c0_1(a427) ),
i_0_129 ).
cnf(c_0_366,negated_conjecture,
( hskp13
| hskp2
| ~ c3_1(a426)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_334]) ).
cnf(c_0_367,negated_conjecture,
( c3_1(a426)
| hskp20
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_333]),c_0_336]) ).
cnf(c_0_368,negated_conjecture,
( hskp13
| hskp2
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_322]),c_0_323]),c_0_324]) ).
cnf(c_0_369,negated_conjecture,
( epred52_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_337]),c_0_300])]) ).
cnf(c_0_370,negated_conjecture,
( epred31_0
| ~ c3_1(a426)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_333]),c_0_334]) ).
cnf(c_0_371,negated_conjecture,
( epred31_0
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_322]),c_0_323]),c_0_324]) ).
cnf(c_0_372,negated_conjecture,
( epred18_0
| c3_1(X1)
| hskp20
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_335,c_0_339]) ).
cnf(c_0_373,negated_conjecture,
( hskp28
| hskp4
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_327]),c_0_328]),c_0_329]) ).
fof(c_0_374,plain,
( ~ epred14_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_375,plain,
( ~ epred51_0
<=> ! [X3] :
( ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_376,negated_conjecture,
( hskp23
| hskp27
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1) ),
i_0_16 ).
fof(c_0_377,plain,
( ~ epred38_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_378,plain,
( ~ epred1_0
<=> ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_379,plain,
( ~ epred46_0
<=> ! [X1] :
( c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_380,plain,
( ~ epred48_0
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_381,negated_conjecture,
( hskp8
| hskp9
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ),
i_0_51 ).
fof(c_0_382,plain,
( ~ epred4_0
<=> ! [X1] :
( c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_383,plain,
( ~ epred33_0
<=> ! [X2] :
( hskp22
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_384,plain,
( ~ epred3_0
<=> ! [X2] :
( c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_385,negated_conjecture,
( c1_1(a401)
| ~ hskp1 ),
i_0_178 ).
cnf(c_0_386,negated_conjecture,
( c0_1(a401)
| ~ hskp1 ),
i_0_179 ).
cnf(c_0_387,negated_conjecture,
( ~ hskp1
| ~ c3_1(a401) ),
i_0_177 ).
cnf(c_0_388,negated_conjecture,
( epred50_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_333]),c_0_336]),c_0_334]) ).
cnf(c_0_389,negated_conjecture,
( hskp12
| hskp1
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_344]),c_0_345]) ).
fof(c_0_390,plain,
( ~ epred13_0
<=> ! [X1] :
( hskp7
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_391,negated_conjecture,
( hskp12
| hskp9
| ~ c3_1(a402)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_346]),c_0_347]) ).
cnf(c_0_392,negated_conjecture,
( c3_1(a402)
| hskp12
| hskp1
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_346]),c_0_348]) ).
cnf(c_0_393,negated_conjecture,
( hskp12
| hskp9
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_351]) ).
cnf(c_0_394,negated_conjecture,
( hskp25
| hskp9
| hskp4
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_352,c_0_353]) ).
cnf(c_0_395,negated_conjecture,
( ~ hskp11
| ~ c1_1(a420) ),
i_0_138 ).
cnf(c_0_396,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp2
| hskp1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_354,c_0_300])]) ).
cnf(c_0_397,negated_conjecture,
( ~ hskp11
| ~ c2_1(a420) ),
i_0_137 ).
cnf(c_0_398,negated_conjecture,
( ~ hskp11
| ~ c0_1(a420) ),
i_0_139 ).
cnf(c_0_399,negated_conjecture,
( hskp11
| hskp2
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_357]),c_0_358]) ).
cnf(c_0_400,negated_conjecture,
( hskp20
| hskp18
| hskp7
| hskp2 ),
inference(spm,[status(thm)],[c_0_359,c_0_360]) ).
cnf(c_0_401,negated_conjecture,
( epred23_0
| ~ c3_1(a402)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_361]),c_0_347]) ).
cnf(c_0_402,negated_conjecture,
( epred24_0
| hskp1
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_363]),c_0_364]),c_0_365]) ).
cnf(c_0_403,negated_conjecture,
( hskp13
| hskp2
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_367]),c_0_368]) ).
cnf(c_0_404,negated_conjecture,
( epred52_0
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_363]),c_0_364]),c_0_365]) ).
cnf(c_0_405,negated_conjecture,
( epred31_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_367]),c_0_371]) ).
cnf(c_0_406,negated_conjecture,
( epred18_0
| hskp20
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_356]),c_0_358]) ).
cnf(c_0_407,negated_conjecture,
( hskp28
| hskp20
| hskp18
| hskp4 ),
inference(spm,[status(thm)],[c_0_373,c_0_360]) ).
cnf(c_0_408,negated_conjecture,
( epred14_0
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_374]) ).
cnf(c_0_409,negated_conjecture,
( epred51_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_375]) ).
cnf(c_0_410,negated_conjecture,
( c1_1(a405)
| ~ hskp25 ),
i_0_82 ).
cnf(c_0_411,negated_conjecture,
( c2_1(X1)
| hskp27
| hskp23
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_376,c_0_300])]) ).
cnf(c_0_412,negated_conjecture,
( c1_1(a412)
| ~ hskp27 ),
i_0_74 ).
cnf(c_0_413,negated_conjecture,
( c2_1(a412)
| ~ hskp27 ),
i_0_73 ).
cnf(c_0_414,negated_conjecture,
( c0_1(a412)
| ~ hskp27 ),
i_0_75 ).
cnf(c_0_415,negated_conjecture,
( epred38_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_377]) ).
cnf(c_0_416,negated_conjecture,
( c0_1(a451)
| ~ hskp22 ),
i_0_95 ).
cnf(c_0_417,negated_conjecture,
( c2_1(a451)
| ~ hskp22 ),
i_0_94 ).
cnf(c_0_418,negated_conjecture,
( ~ hskp22
| ~ c1_1(a451) ),
i_0_93 ).
cnf(c_0_419,negated_conjecture,
( epred1_0
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_378]),c_0_300])]) ).
fof(c_0_420,plain,
( ~ epred49_0
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_421,negated_conjecture,
( ~ hskp9
| ~ c1_1(a416) ),
i_0_145 ).
cnf(c_0_422,negated_conjecture,
( epred46_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_379]) ).
cnf(c_0_423,negated_conjecture,
( c3_1(a416)
| ~ hskp9 ),
i_0_147 ).
cnf(c_0_424,negated_conjecture,
( epred48_0
| c0_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_380]),c_0_300])]) ).
cnf(c_0_425,negated_conjecture,
( ~ hskp9
| ~ c0_1(a416) ),
i_0_146 ).
cnf(c_0_426,negated_conjecture,
( ~ hskp8
| ~ c1_1(a415) ),
i_0_149 ).
cnf(c_0_427,negated_conjecture,
( c2_1(a415)
| ~ hskp8 ),
i_0_151 ).
cnf(c_0_428,negated_conjecture,
( c3_1(a415)
| ~ hskp8 ),
i_0_150 ).
cnf(c_0_429,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp9
| hskp8
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_381,c_0_300])]) ).
cnf(c_0_430,negated_conjecture,
( hskp7
| hskp16
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1) ),
i_0_14 ).
cnf(c_0_431,negated_conjecture,
( epred4_0
| c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_382]) ).
cnf(c_0_432,negated_conjecture,
( epred33_0
| c3_1(X1)
| c2_1(X1)
| hskp22
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_383]),c_0_300])]) ).
cnf(c_0_433,negated_conjecture,
( epred3_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_384]),c_0_300])]) ).
cnf(c_0_434,negated_conjecture,
( hskp20
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_385]),c_0_386]),c_0_387]) ).
cnf(c_0_435,negated_conjecture,
( epred50_0
| hskp1
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_388,c_0_389]) ).
cnf(c_0_436,negated_conjecture,
( epred13_0
| c0_1(X1)
| c1_1(X1)
| hskp7
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_390]),c_0_300])]) ).
cnf(c_0_437,negated_conjecture,
( hskp12
| hskp9
| hskp1
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_391,c_0_392]) ).
cnf(c_0_438,negated_conjecture,
( hskp12
| hskp9
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_394]),c_0_351]) ).
cnf(c_0_439,negated_conjecture,
( hskp2
| hskp1
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_396]),c_0_397]),c_0_398]) ).
cnf(c_0_440,negated_conjecture,
( hskp20
| hskp11
| hskp7
| hskp2 ),
inference(spm,[status(thm)],[c_0_399,c_0_400]) ).
cnf(c_0_441,negated_conjecture,
( epred23_0
| hskp12
| hskp1
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_401,c_0_392]) ).
fof(c_0_442,plain,
( ~ epred2_0
<=> ! [X2] :
( c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_443,negated_conjecture,
( epred24_0
| hskp2
| hskp1
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_402,c_0_403]) ).
cnf(c_0_444,negated_conjecture,
( epred52_0
| hskp2
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_404,c_0_403]) ).
cnf(c_0_445,negated_conjecture,
( epred31_0
| hskp1
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_405,c_0_389]) ).
cnf(c_0_446,negated_conjecture,
( epred18_0
| hskp28
| hskp20
| hskp4 ),
inference(spm,[status(thm)],[c_0_406,c_0_407]) ).
cnf(c_0_447,negated_conjecture,
( epred14_0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_327]),c_0_328]),c_0_329]) ).
cnf(c_0_448,negated_conjecture,
( epred51_0
| ~ c2_1(a405)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_312]) ).
cnf(c_0_449,negated_conjecture,
( c2_1(a405)
| hskp27
| hskp23
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_410]),c_0_312]) ).
cnf(c_0_450,negated_conjecture,
( epred51_0
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_412]),c_0_413]),c_0_414]) ).
cnf(c_0_451,negated_conjecture,
( epred38_0
| ~ c3_1(a451)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_416]),c_0_417]) ).
cnf(c_0_452,negated_conjecture,
( epred1_0
| c3_1(a451)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_419]),c_0_417]) ).
fof(c_0_453,plain,
( ~ epred53_0
<=> ! [X2] :
( c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_454,negated_conjecture,
( ~ hskp17
| ~ c1_1(a439) ),
i_0_115 ).
cnf(c_0_455,negated_conjecture,
( epred49_0
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_420]),c_0_300])]) ).
cnf(c_0_456,negated_conjecture,
( ~ hskp17
| ~ c2_1(a439) ),
i_0_114 ).
cnf(c_0_457,negated_conjecture,
( epred46_0
| ~ c2_1(a416)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_422]),c_0_423]) ).
cnf(c_0_458,negated_conjecture,
( epred48_0
| c2_1(a416)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_424]),c_0_425]) ).
cnf(c_0_459,negated_conjecture,
( epred46_0
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_422]),c_0_427]),c_0_428]) ).
cnf(c_0_460,negated_conjecture,
( epred48_0
| c0_1(X1)
| c2_1(X1)
| hskp9
| hskp8 ),
inference(spm,[status(thm)],[c_0_429,c_0_424]) ).
cnf(c_0_461,negated_conjecture,
( c1_1(a434)
| ~ hskp16 ),
i_0_119 ).
cnf(c_0_462,negated_conjecture,
( ~ hskp16
| ~ c0_1(a434) ),
i_0_118 ).
cnf(c_0_463,negated_conjecture,
( ~ hskp16
| ~ c3_1(a434) ),
i_0_117 ).
cnf(c_0_464,negated_conjecture,
( c2_1(X1)
| hskp16
| hskp7
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_430,c_0_300])]) ).
cnf(c_0_465,negated_conjecture,
( ~ hskp14
| ~ c1_1(a428) ),
i_0_125 ).
cnf(c_0_466,negated_conjecture,
( c2_1(a428)
| ~ hskp14 ),
i_0_127 ).
fof(c_0_467,plain,
( ~ epred32_0
<=> ! [X2] :
( hskp14
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_468,negated_conjecture,
( hskp6
| hskp15
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ),
i_0_38 ).
fof(c_0_469,plain,
( ~ epred21_0
<=> ! [X2] :
( hskp13
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_470,negated_conjecture,
( epred4_0
| ~ c3_1(a451)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_431]),c_0_416]) ).
cnf(c_0_471,negated_conjecture,
( epred1_0
| ~ c2_1(a410)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_419]),c_0_345]) ).
cnf(c_0_472,negated_conjecture,
( epred33_0
| c2_1(a410)
| hskp22
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_343]),c_0_345]) ).
cnf(c_0_473,negated_conjecture,
( epred50_0
| ~ c0_1(a449)
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_322]),c_0_324]) ).
cnf(c_0_474,negated_conjecture,
( epred3_0
| c0_1(a449)
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_322]),c_0_323]) ).
cnf(c_0_475,negated_conjecture,
( epred50_0
| hskp20
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_434,c_0_435]) ).
cnf(c_0_476,negated_conjecture,
( epred13_0
| hskp7
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_423]),c_0_421]),c_0_425]) ).
cnf(c_0_477,negated_conjecture,
( epred50_0
| hskp9
| hskp1
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_388,c_0_437]) ).
cnf(c_0_478,negated_conjecture,
( epred50_0
| hskp9
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_388,c_0_438]) ).
cnf(c_0_479,negated_conjecture,
( hskp20
| hskp7
| hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_440]),c_0_434]) ).
cnf(c_0_480,negated_conjecture,
( epred50_0
| epred23_0
| hskp1
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_388,c_0_441]) ).
cnf(c_0_481,negated_conjecture,
( epred2_0
| c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_442]) ).
cnf(c_0_482,negated_conjecture,
( epred24_0
| hskp2
| hskp1
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_443,c_0_389]) ).
fof(c_0_483,plain,
( ~ epred36_0
<=> ! [X2] :
( hskp11
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_484,negated_conjecture,
( epred52_0
| hskp2
| hskp1
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_444,c_0_389]) ).
cnf(c_0_485,negated_conjecture,
( epred52_0
| hskp2
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_404,c_0_368]) ).
cnf(c_0_486,negated_conjecture,
( epred31_0
| hskp9
| hskp1
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_405,c_0_437]) ).
cnf(c_0_487,negated_conjecture,
( epred31_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_445]),c_0_371]) ).
cnf(c_0_488,negated_conjecture,
( epred18_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_339]),c_0_343]),c_0_345]) ).
cnf(c_0_489,negated_conjecture,
( epred18_0
| hskp20
| hskp9
| hskp4 ),
inference(spm,[status(thm)],[c_0_352,c_0_446]) ).
cnf(c_0_490,negated_conjecture,
( epred31_0
| hskp9
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_405,c_0_351]) ).
cnf(c_0_491,negated_conjecture,
( epred14_0
| hskp20
| hskp18 ),
inference(spm,[status(thm)],[c_0_447,c_0_360]) ).
cnf(c_0_492,negated_conjecture,
( epred51_0
| hskp23
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_449]),c_0_450]) ).
cnf(c_0_493,negated_conjecture,
( epred38_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_318]),c_0_319]),c_0_320]) ).
cnf(c_0_494,negated_conjecture,
( epred38_0
| epred1_0
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_451,c_0_452]) ).
cnf(c_0_495,negated_conjecture,
( epred33_0
| hskp22
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_356]),c_0_357]),c_0_358]) ).
cnf(c_0_496,negated_conjecture,
( epred38_0
| ~ c2_1(a405)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_312]),c_0_313]) ).
cnf(c_0_497,negated_conjecture,
( epred50_0
| c2_1(a405)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_410]),c_0_312]) ).
fof(c_0_498,plain,
( ~ epred19_0
<=> ! [X2] :
( hskp12
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_499,plain,
( ~ epred11_0
<=> ! [X1] :
( hskp6
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_500,plain,
( ~ epred17_0
<=> ! [X2] :
( hskp9
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_501,negated_conjecture,
( epred53_0
| c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_453]) ).
fof(c_0_502,plain,
( ~ epred6_0
<=> ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_503,plain,
( ~ epred20_0
<=> ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_504,negated_conjecture,
( epred49_0
| ~ c0_1(a439)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_455]),c_0_456]) ).
cnf(c_0_505,negated_conjecture,
( epred48_0
| c0_1(a439)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_424]),c_0_456]) ).
cnf(c_0_506,negated_conjecture,
( epred48_0
| epred46_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_457,c_0_458]) ).
cnf(c_0_507,negated_conjecture,
( epred48_0
| epred46_0
| c0_1(X1)
| c2_1(X1)
| hskp9 ),
inference(spm,[status(thm)],[c_0_459,c_0_460]) ).
cnf(c_0_508,negated_conjecture,
( epred52_0
| ~ c2_1(a434)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_461]),c_0_462]) ).
cnf(c_0_509,negated_conjecture,
( epred14_0
| c2_1(a434)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_461]),c_0_463]) ).
cnf(c_0_510,negated_conjecture,
( c2_1(a405)
| hskp16
| hskp7
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_312]),c_0_313]) ).
cnf(c_0_511,negated_conjecture,
( epred46_0
| ~ c3_1(a428)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_422]),c_0_466]) ).
cnf(c_0_512,negated_conjecture,
( epred1_0
| c3_1(a428)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_419]),c_0_466]) ).
cnf(c_0_513,negated_conjecture,
( epred32_0
| c0_1(X1)
| c3_1(X1)
| hskp14
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_467]),c_0_300])]) ).
cnf(c_0_514,negated_conjecture,
( c2_1(a409)
| ~ hskp6 ),
i_0_159 ).
cnf(c_0_515,negated_conjecture,
( ~ hskp6
| ~ c3_1(a409) ),
i_0_157 ).
cnf(c_0_516,negated_conjecture,
( ~ hskp6
| ~ c0_1(a409) ),
i_0_158 ).
cnf(c_0_517,negated_conjecture,
( c0_1(X1)
| hskp15
| hskp6
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_468,c_0_300])]) ).
fof(c_0_518,plain,
( ~ epred25_0
<=> ! [X1] :
( hskp1
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_519,negated_conjecture,
( c1_1(a400)
| ~ hskp0 ),
i_0_183 ).
cnf(c_0_520,negated_conjecture,
( c2_1(a400)
| ~ hskp0 ),
i_0_182 ).
fof(c_0_521,plain,
( ~ epred15_0
<=> ! [X2] :
( hskp9
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_522,negated_conjecture,
( ~ hskp0
| ~ c3_1(a400) ),
i_0_181 ).
cnf(c_0_523,negated_conjecture,
( epred21_0
| c0_1(X1)
| c3_1(X1)
| hskp13
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_469]),c_0_300])]) ).
cnf(c_0_524,negated_conjecture,
( epred4_0
| epred1_0
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_470,c_0_452]) ).
cnf(c_0_525,negated_conjecture,
( epred33_0
| epred1_0
| hskp22
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_471,c_0_472]) ).
cnf(c_0_526,negated_conjecture,
( epred50_0
| epred3_0
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_473,c_0_474]) ).
cnf(c_0_527,negated_conjecture,
( epred50_0
| epred13_0
| hskp20
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_475,c_0_476]) ).
cnf(c_0_528,negated_conjecture,
( epred50_0
| hskp9
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_477]),c_0_478]) ).
cnf(c_0_529,negated_conjecture,
( epred50_0
| hskp20
| hskp2 ),
inference(spm,[status(thm)],[c_0_475,c_0_479]) ).
cnf(c_0_530,negated_conjecture,
( epred50_0
| epred23_0
| hskp20
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_434,c_0_480]) ).
cnf(c_0_531,negated_conjecture,
( epred2_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_385]),c_0_386]),c_0_387]) ).
cnf(c_0_532,negated_conjecture,
( epred24_0
| hskp2
| hskp1
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_402,c_0_368]) ).
cnf(c_0_533,negated_conjecture,
( epred24_0
| hskp20
| hskp2
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_434,c_0_482]) ).
cnf(c_0_534,negated_conjecture,
( epred36_0
| c0_1(X1)
| hskp11
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_483]),c_0_300])]) ).
cnf(c_0_535,negated_conjecture,
( epred52_0
| hskp2
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_484]),c_0_485]) ).
fof(c_0_536,plain,
( ~ epred41_0
<=> ! [X2] :
( c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_537,negated_conjecture,
( epred31_0
| hskp9
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_486]),c_0_371]) ).
cnf(c_0_538,negated_conjecture,
( epred31_0
| hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_479]),c_0_371]) ).
cnf(c_0_539,negated_conjecture,
( hskp7
| c1_1(X1)
| c2_1(X2)
| c3_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X1) ),
i_0_56 ).
cnf(c_0_540,negated_conjecture,
( epred18_0
| epred13_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_488,c_0_476]) ).
cnf(c_0_541,negated_conjecture,
( epred31_0
| epred18_0
| hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_489]),c_0_490]) ).
cnf(c_0_542,negated_conjecture,
( epred18_0
| epred14_0
| hskp20 ),
inference(spm,[status(thm)],[c_0_406,c_0_491]) ).
cnf(c_0_543,negated_conjecture,
( epred51_0
| epred14_0
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_447,c_0_492]) ).
cnf(c_0_544,negated_conjecture,
( epred38_0
| hskp25
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_493,c_0_353]) ).
cnf(c_0_545,negated_conjecture,
( epred38_0
| epred33_0
| epred1_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_494,c_0_495]) ).
fof(c_0_546,plain,
( ~ epred12_0
<=> ! [X2] :
( c3_1(X2)
| c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_547,negated_conjecture,
( epred50_0
| epred38_0
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_496,c_0_497]) ).
cnf(c_0_548,negated_conjecture,
( hskp27
| hskp23
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_333]),c_0_336]),c_0_334]) ).
cnf(c_0_549,negated_conjecture,
( epred19_0
| c0_1(X1)
| c3_1(X1)
| hskp12
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_498]),c_0_300])]) ).
cnf(c_0_550,negated_conjecture,
( epred11_0
| c0_1(X1)
| c1_1(X1)
| hskp6
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_499]),c_0_300])]) ).
cnf(c_0_551,negated_conjecture,
( epred17_0
| c0_1(X1)
| c3_1(X1)
| hskp9
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_500]),c_0_300])]) ).
cnf(c_0_552,negated_conjecture,
( epred38_0
| ~ c3_1(a412)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_414]),c_0_413]) ).
cnf(c_0_553,negated_conjecture,
( epred53_0
| c3_1(a412)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_414]),c_0_413]) ).
cnf(c_0_554,negated_conjecture,
( epred38_0
| hskp27
| hskp23
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_496,c_0_449]) ).
fof(c_0_555,plain,
( ~ epred43_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_556,negated_conjecture,
( ~ hskp14
| ~ c0_1(a428) ),
i_0_126 ).
cnf(c_0_557,negated_conjecture,
( epred6_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_502]) ).
cnf(c_0_558,negated_conjecture,
( epred20_0
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_503]) ).
cnf(c_0_559,negated_conjecture,
( epred49_0
| epred48_0
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_504,c_0_505]) ).
cnf(c_0_560,negated_conjecture,
( hskp3
| hskp8
| hskp17 ),
i_0_1 ).
cnf(c_0_561,negated_conjecture,
( ~ hskp3
| ~ c0_1(a403) ),
i_0_171 ).
cnf(c_0_562,negated_conjecture,
( epred48_0
| epred46_0
| c0_1(X1)
| c2_1(X1) ),
inference(spm,[status(thm)],[c_0_506,c_0_507]) ).
cnf(c_0_563,negated_conjecture,
( ~ hskp3
| ~ c2_1(a403) ),
i_0_170 ).
fof(c_0_564,plain,
( ~ epred45_0
<=> ! [X3] :
( c2_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_565,plain,
( ~ epred16_0
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_566,negated_conjecture,
( epred49_0
| c2_1(a410)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_455]),c_0_343]) ).
cnf(c_0_567,negated_conjecture,
( c0_1(a430)
| ~ hskp15 ),
i_0_123 ).
cnf(c_0_568,negated_conjecture,
( ~ hskp15
| ~ c3_1(a430) ),
i_0_121 ).
cnf(c_0_569,negated_conjecture,
( epred52_0
| epred14_0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_508,c_0_509]) ).
cnf(c_0_570,negated_conjecture,
( epred38_0
| hskp16
| hskp7
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_496,c_0_510]) ).
cnf(c_0_571,negated_conjecture,
( epred46_0
| epred1_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_511,c_0_512]) ).
cnf(c_0_572,negated_conjecture,
( epred32_0
| hskp14
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_514]),c_0_515]),c_0_516]) ).
cnf(c_0_573,negated_conjecture,
( hskp15
| hskp6
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_363]),c_0_364]),c_0_365]) ).
cnf(c_0_574,negated_conjecture,
( epred25_0
| c0_1(X1)
| c3_1(X1)
| hskp1
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_518]),c_0_300])]) ).
cnf(c_0_575,negated_conjecture,
( epred51_0
| ~ c0_1(a400)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_519]),c_0_520]) ).
cnf(c_0_576,negated_conjecture,
( c0_1(a400)
| hskp15
| hskp6
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_519]),c_0_520]) ).
cnf(c_0_577,negated_conjecture,
( epred15_0
| c0_1(X1)
| c3_1(X1)
| hskp9
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_521]),c_0_300])]) ).
cnf(c_0_578,negated_conjecture,
( epred2_0
| ~ c0_1(a400)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_519]),c_0_522]) ).
cnf(c_0_579,negated_conjecture,
( epred21_0
| c0_1(a400)
| hskp13
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_520]),c_0_522]) ).
cnf(c_0_580,negated_conjecture,
( epred33_0
| epred4_0
| epred1_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_524,c_0_525]) ).
cnf(c_0_581,negated_conjecture,
( hskp0
| hskp27
| c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0 ),
i_0_54 ).
cnf(c_0_582,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X1) ),
i_0_37 ).
cnf(c_0_583,negated_conjecture,
( epred50_0
| epred13_0
| epred3_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_526,c_0_527]) ).
cnf(c_0_584,negated_conjecture,
( epred50_0
| hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_529]),c_0_478]) ).
cnf(c_0_585,negated_conjecture,
( epred50_0
| epred23_0
| hskp20 ),
inference(spm,[status(thm)],[c_0_530,c_0_529]) ).
cnf(c_0_586,negated_conjecture,
( epred49_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_455]),c_0_346]),c_0_347]) ).
cnf(c_0_587,negated_conjecture,
( epred24_0
| epred2_0
| hskp2
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_531,c_0_532]) ).
cnf(c_0_588,negated_conjecture,
( epred24_0
| hskp20
| hskp2 ),
inference(spm,[status(thm)],[c_0_533,c_0_479]) ).
cnf(c_0_589,negated_conjecture,
( epred50_0
| epred2_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_531,c_0_435]) ).
cnf(c_0_590,negated_conjecture,
( epred36_0
| hskp11
| ~ c2_1(a416)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_423]),c_0_425]) ).
cnf(c_0_591,negated_conjecture,
( epred48_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_424]),c_0_397]),c_0_398]) ).
cnf(c_0_592,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c2_1(X3)
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c0_1(X1) ),
i_0_33 ).
cnf(c_0_593,negated_conjecture,
( epred52_0
| hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_479]),c_0_485]) ).
cnf(c_0_594,negated_conjecture,
( epred41_0
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_536]),c_0_300])]) ).
cnf(c_0_595,negated_conjecture,
( epred31_0
| epred13_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_487,c_0_476]) ).
cnf(c_0_596,negated_conjecture,
( epred31_0
| hskp9 ),
inference(spm,[status(thm)],[c_0_537,c_0_538]) ).
cnf(c_0_597,negated_conjecture,
( hskp1
| c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X1) ),
i_0_40 ).
cnf(c_0_598,negated_conjecture,
( ~ epred14_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_539,c_0_390]),c_0_374]) ).
cnf(c_0_599,negated_conjecture,
( epred31_0
| epred18_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_540,c_0_541]) ).
cnf(c_0_600,negated_conjecture,
( epred31_0
| epred18_0
| epred14_0 ),
inference(spm,[status(thm)],[c_0_371,c_0_542]) ).
cnf(c_0_601,negated_conjecture,
( c1_1(X1)
| c3_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X2) ),
i_0_26 ).
cnf(c_0_602,negated_conjecture,
( epred51_0
| epred38_0
| epred14_0
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_543,c_0_544]) ).
cnf(c_0_603,negated_conjecture,
( epred38_0
| epred33_0
| epred14_0
| epred1_0
| hskp20 ),
inference(spm,[status(thm)],[c_0_545,c_0_491]) ).
cnf(c_0_604,negated_conjecture,
( epred12_0
| c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_546]) ).
cnf(c_0_605,negated_conjecture,
( epred50_0
| epred38_0
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_547,c_0_544]) ).
cnf(c_0_606,negated_conjecture,
( epred14_0
| hskp27
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_447,c_0_548]) ).
cnf(c_0_607,negated_conjecture,
( epred19_0
| hskp12
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_514]),c_0_515]),c_0_516]) ).
cnf(c_0_608,negated_conjecture,
( epred11_0
| hskp6
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_423]),c_0_421]),c_0_425]) ).
cnf(c_0_609,negated_conjecture,
( epred2_0
| ~ c0_1(a460)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_327]),c_0_329]) ).
cnf(c_0_610,negated_conjecture,
( epred17_0
| c0_1(a460)
| hskp9
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_327]),c_0_329]) ).
cnf(c_0_611,negated_conjecture,
( epred53_0
| epred38_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_552,c_0_553]) ).
cnf(c_0_612,negated_conjecture,
( epred38_0
| epred14_0
| hskp27
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_447,c_0_554]) ).
fof(c_0_613,plain,
( ~ epred40_0
<=> ! [X1] :
( hskp3
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_614,negated_conjecture,
( epred46_0
| ~ c3_1(a451)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_422]),c_0_417]) ).
cnf(c_0_615,negated_conjecture,
( epred43_0
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_555]),c_0_300])]) ).
cnf(c_0_616,negated_conjecture,
( epred32_0
| c0_1(a400)
| hskp14
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_520]),c_0_522]) ).
cnf(c_0_617,negated_conjecture,
( epred6_0
| ~ c3_1(a428)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_557]),c_0_466]) ).
cnf(c_0_618,negated_conjecture,
( epred20_0
| c3_1(a428)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_558]),c_0_466]) ).
fof(c_0_619,plain,
( ~ epred29_0
<=> ! [X1] :
( hskp4
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_620,negated_conjecture,
( c1_1(X1)
| c3_1(X2)
| c0_1(X3)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X3)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
i_0_39 ).
cnf(c_0_621,negated_conjecture,
( epred49_0
| epred48_0
| hskp8
| hskp3 ),
inference(spm,[status(thm)],[c_0_559,c_0_560]) ).
cnf(c_0_622,negated_conjecture,
( epred48_0
| epred46_0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_562]),c_0_563]) ).
cnf(c_0_623,negated_conjecture,
( epred45_0
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_564]),c_0_300])]) ).
fof(c_0_624,plain,
( ~ epred44_0
<=> ! [X3] :
( c2_1(X3)
| c3_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_625,negated_conjecture,
( epred16_0
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_565]) ).
cnf(c_0_626,negated_conjecture,
( epred49_0
| epred1_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_471,c_0_566]) ).
cnf(c_0_627,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp7
| hskp2
| hskp1 ),
inference(spm,[status(thm)],[c_0_326,c_0_396]) ).
cnf(c_0_628,negated_conjecture,
( epred14_0
| c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp2
| hskp1 ),
inference(spm,[status(thm)],[c_0_408,c_0_396]) ).
cnf(c_0_629,negated_conjecture,
( c1_1(a430)
| hskp12
| hskp1
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_567]),c_0_568]) ).
cnf(c_0_630,negated_conjecture,
( hskp16
| hskp7
| ~ c3_1(a402)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_346]),c_0_347]) ).
cnf(c_0_631,negated_conjecture,
( c2_1(a434)
| hskp7
| hskp2
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_461]),c_0_463]) ).
cnf(c_0_632,negated_conjecture,
( epred52_0
| epred38_0
| epred14_0
| hskp7
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_569,c_0_570]) ).
cnf(c_0_633,negated_conjecture,
( epred46_0
| epred32_0
| epred1_0
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_571,c_0_572]) ).
cnf(c_0_634,negated_conjecture,
( hskp15
| hskp6
| hskp2
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_573,c_0_368]) ).
cnf(c_0_635,negated_conjecture,
( epred25_0
| hskp1
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_514]),c_0_515]),c_0_516]) ).
cnf(c_0_636,negated_conjecture,
( epred51_0
| hskp15
| hskp6
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_575,c_0_576]) ).
cnf(c_0_637,negated_conjecture,
( epred15_0
| hskp9
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_514]),c_0_515]),c_0_516]) ).
cnf(c_0_638,negated_conjecture,
( epred2_0
| hskp15
| hskp6
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_578,c_0_576]) ).
cnf(c_0_639,negated_conjecture,
( epred51_0
| epred21_0
| hskp13
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_575,c_0_579]) ).
cnf(c_0_640,negated_conjecture,
( epred33_0
| epred13_0
| epred4_0
| epred1_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_580,c_0_476]) ).
cnf(c_0_641,negated_conjecture,
( epred50_0
| hskp9
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_388,c_0_351]) ).
cnf(c_0_642,negated_conjecture,
( epred48_0
| epred17_0
| c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp9 ),
inference(spm,[status(thm)],[c_0_551,c_0_424]) ).
cnf(c_0_643,negated_conjecture,
( epred48_0
| epred14_0
| c0_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(spm,[status(thm)],[c_0_408,c_0_424]) ).
cnf(c_0_644,negated_conjecture,
( epred51_0
| epred18_0
| c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_409,c_0_339]) ).
cnf(c_0_645,negated_conjecture,
( epred51_0
| epred1_0
| c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_409,c_0_419]) ).
cnf(c_0_646,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp27
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_581,c_0_300])]) ).
cnf(c_0_647,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_582,c_0_384]),c_0_382]) ).
cnf(c_0_648,negated_conjecture,
( epred50_0
| epred13_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_583,c_0_584]) ).
cnf(c_0_649,negated_conjecture,
( epred50_0
| epred23_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_526,c_0_585]) ).
cnf(c_0_650,negated_conjecture,
( epred49_0
| epred24_0
| epred2_0
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_586,c_0_587]) ).
cnf(c_0_651,negated_conjecture,
( epred49_0
| epred24_0
| hskp20 ),
inference(spm,[status(thm)],[c_0_586,c_0_588]) ).
cnf(c_0_652,negated_conjecture,
( epred50_0
| epred13_0
| epred2_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_589,c_0_476]) ).
cnf(c_0_653,negated_conjecture,
( epred48_0
| epred36_0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_590,c_0_458]),c_0_591]) ).
cnf(c_0_654,negated_conjecture,
( ~ epred51_0
| ~ epred50_0
| ~ epred49_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_592,c_0_420]),c_0_309]),c_0_375]) ).
cnf(c_0_655,negated_conjecture,
( epred52_0
| epred49_0 ),
inference(spm,[status(thm)],[c_0_586,c_0_593]) ).
cnf(c_0_656,negated_conjecture,
( epred41_0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_594]),c_0_423]),c_0_425]) ).
cnf(c_0_657,negated_conjecture,
( epred31_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_595,c_0_596]) ).
cnf(c_0_658,negated_conjecture,
( ~ epred24_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_597,c_0_331]),c_0_307]) ).
cnf(c_0_659,negated_conjecture,
( epred31_0
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_599]),c_0_600]) ).
cnf(c_0_660,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_601,c_0_378]),c_0_442]) ).
cnf(c_0_661,negated_conjecture,
( epred51_0
| epred38_0
| epred33_0
| epred14_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_602,c_0_603]) ).
cnf(c_0_662,negated_conjecture,
( epred12_0
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_604]),c_0_514]),c_0_515]) ).
cnf(c_0_663,negated_conjecture,
( epred50_0
| epred38_0
| epred33_0
| epred14_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_605,c_0_603]) ).
cnf(c_0_664,negated_conjecture,
( epred51_0
| epred14_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_450,c_0_606]) ).
cnf(c_0_665,negated_conjecture,
( epred19_0
| epred11_0
| hskp12
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_607,c_0_608]) ).
cnf(c_0_666,negated_conjecture,
( epred17_0
| epred2_0
| hskp9
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_609,c_0_610]) ).
cnf(c_0_667,negated_conjecture,
( epred53_0
| epred38_0
| epred14_0
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_611,c_0_612]) ).
cnf(c_0_668,negated_conjecture,
( epred40_0
| c1_1(X1)
| hskp3
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_613]),c_0_300])]) ).
cnf(c_0_669,negated_conjecture,
( epred46_0
| epred1_0
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_614,c_0_452]) ).
cnf(c_0_670,negated_conjecture,
( epred43_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_615]),c_0_466]),c_0_556]) ).
cnf(c_0_671,negated_conjecture,
( epred51_0
| epred32_0
| hskp14
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_575,c_0_616]) ).
cnf(c_0_672,negated_conjecture,
( epred20_0
| epred6_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_617,c_0_618]) ).
cnf(c_0_673,negated_conjecture,
( epred29_0
| c0_1(X1)
| c1_1(X1)
| hskp4
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_619]),c_0_300])]) ).
cnf(c_0_674,negated_conjecture,
( ~ epred53_0
| ~ epred52_0
| ~ epred46_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_620,c_0_337]),c_0_453]),c_0_379]) ).
cnf(c_0_675,negated_conjecture,
( epred49_0
| epred48_0
| epred46_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_621]),c_0_622]) ).
cnf(c_0_676,negated_conjecture,
( epred24_0
| c0_1(a400)
| hskp1
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_519]),c_0_520]) ).
cnf(c_0_677,negated_conjecture,
( epred24_0
| hskp1
| ~ c2_1(a434)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_461]),c_0_462]) ).
cnf(c_0_678,negated_conjecture,
( epred43_0
| ~ c2_1(a416)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_615]),c_0_425]) ).
cnf(c_0_679,negated_conjecture,
( epred45_0
| c2_1(a410)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_623,c_0_343]),c_0_345]) ).
cnf(c_0_680,negated_conjecture,
( c2_1(a430)
| ~ hskp15 ),
i_0_122 ).
cnf(c_0_681,negated_conjecture,
( epred44_0
| c0_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_624]) ).
cnf(c_0_682,negated_conjecture,
( ~ hskp3
| ~ c3_1(a403) ),
i_0_169 ).
cnf(c_0_683,negated_conjecture,
( epred16_0
| c2_1(a410)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_625]),c_0_343]) ).
cnf(c_0_684,negated_conjecture,
( epred12_0
| ~ c2_1(a434)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_604]),c_0_463]) ).
cnf(c_0_685,negated_conjecture,
( epred18_0
| epred2_0
| c3_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_481,c_0_339]) ).
cnf(c_0_686,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X3)
| ~ c3_1(X3)
| ~ c0_1(X3)
| ~ c0_1(X2) ),
i_0_67 ).
cnf(c_0_687,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c2_1(X3)
| c2_1(X2)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X3) ),
i_0_31 ).
cnf(c_0_688,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c1_1(X3)
| c2_1(X2)
| c0_1(X3)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X2) ),
i_0_61 ).
cnf(c_0_689,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c2_1(X1)
| c3_1(X3)
| c0_1(X3)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
i_0_58 ).
cnf(c_0_690,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c2_1(X3)
| c3_1(X2)
| c3_1(X3)
| c0_1(X3)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X1) ),
i_0_63 ).
cnf(c_0_691,negated_conjecture,
( hskp3
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ c0_1(X1) ),
i_0_24 ).
cnf(c_0_692,negated_conjecture,
( hskp11
| c3_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X1) ),
i_0_34 ).
cnf(c_0_693,negated_conjecture,
( hskp22
| c2_1(X1)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
i_0_21 ).
cnf(c_0_694,negated_conjecture,
( hskp14
| c2_1(X1)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1) ),
i_0_41 ).
cnf(c_0_695,negated_conjecture,
( hskp4
| c1_1(X1)
| c3_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
i_0_55 ).
cnf(c_0_696,negated_conjecture,
( hskp1
| c3_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
i_0_45 ).
cnf(c_0_697,negated_conjecture,
( hskp13
| c2_1(X1)
| c3_1(X1)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2) ),
i_0_42 ).
cnf(c_0_698,negated_conjecture,
( hskp12
| c1_1(X1)
| c3_1(X1)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X2) ),
i_0_43 ).
cnf(c_0_699,negated_conjecture,
( hskp9
| c1_1(X1)
| c3_1(X1)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X1) ),
i_0_46 ).
cnf(c_0_700,negated_conjecture,
( hskp9
| c1_1(X1)
| c2_1(X1)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X1) ),
i_0_44 ).
cnf(c_0_701,negated_conjecture,
( hskp6
| c1_1(X1)
| c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X1) ),
i_0_57 ).
cnf(c_0_702,negated_conjecture,
( epred49_0
| epred1_0
| hskp20
| hskp2 ),
inference(spm,[status(thm)],[c_0_626,c_0_479]) ).
cnf(c_0_703,negated_conjecture,
( c3_1(a403)
| c2_1(a403)
| hskp7
| hskp2
| hskp1
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_561,c_0_627]) ).
cnf(c_0_704,negated_conjecture,
( epred14_0
| c3_1(a403)
| c2_1(a403)
| hskp2
| hskp1
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_561,c_0_628]) ).
cnf(c_0_705,negated_conjecture,
( epred51_0
| hskp12
| hskp1
| ~ c0_1(a430)
| ~ c2_1(a430)
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_409,c_0_629]) ).
cnf(c_0_706,negated_conjecture,
( epred2_0
| c3_1(a430)
| hskp12
| hskp1
| ~ c0_1(a430)
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_481,c_0_629]) ).
cnf(c_0_707,negated_conjecture,
( hskp16
| hskp7
| hskp12
| hskp1
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_630,c_0_392]) ).
cnf(c_0_708,negated_conjecture,
( epred32_0
| c0_1(a434)
| c3_1(a434)
| hskp14
| hskp7
| hskp2
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_513,c_0_631]) ).
cnf(c_0_709,negated_conjecture,
( epred52_0
| epred38_0
| epred14_0
| hskp7
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_632,c_0_544]) ).
cnf(c_0_710,negated_conjecture,
( epred46_0
| epred32_0
| epred1_0
| hskp15
| hskp2
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_633,c_0_634]) ).
cnf(c_0_711,negated_conjecture,
( epred25_0
| hskp1
| epred51_0
| hskp15
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_635,c_0_636]) ).
cnf(c_0_712,negated_conjecture,
( epred15_0
| hskp9
| epred2_0
| hskp15
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_637,c_0_638]) ).
cnf(c_0_713,negated_conjecture,
( hskp15
| hskp6
| epred51_0
| epred21_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_573,c_0_639]) ).
cnf(c_0_714,negated_conjecture,
( epred33_0
| epred13_0
| epred4_0
| epred1_0
| epred50_0
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_640,c_0_641]) ).
cnf(c_0_715,negated_conjecture,
( epred48_0
| epred17_0
| c3_1(a403)
| c2_1(a403)
| hskp9
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_561,c_0_642]) ).
cnf(c_0_716,negated_conjecture,
( epred48_0
| epred14_0
| c3_1(a403)
| c2_1(a403)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_561,c_0_643]) ).
cnf(c_0_717,negated_conjecture,
( epred51_0
| epred18_0
| c3_1(a430)
| ~ c2_1(a430)
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_644,c_0_567]) ).
cnf(c_0_718,negated_conjecture,
( epred51_0
| epred1_0
| c3_1(a430)
| ~ c2_1(a430)
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_645,c_0_567]) ).
cnf(c_0_719,negated_conjecture,
( epred2_0
| c3_1(a460)
| c2_1(a460)
| hskp27
| hskp0
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_609,c_0_646]) ).
cnf(c_0_720,negated_conjecture,
( c3_1(a403)
| c2_1(a403)
| hskp27
| hskp0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_561,c_0_646]) ).
cnf(c_0_721,negated_conjecture,
( epred50_0
| epred13_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_647,c_0_648]) ).
cnf(c_0_722,negated_conjecture,
( epred50_0
| epred23_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_647,c_0_649]) ).
cnf(c_0_723,negated_conjecture,
( epred49_0
| epred24_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_650,c_0_651]) ).
cnf(c_0_724,negated_conjecture,
( epred50_0
| epred13_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_652,c_0_584]) ).
cnf(c_0_725,negated_conjecture,
( epred50_0
| epred48_0
| epred36_0 ),
inference(spm,[status(thm)],[c_0_653,c_0_584]) ).
cnf(c_0_726,negated_conjecture,
( epred52_0
| ~ epred51_0
| ~ epred50_0 ),
inference(spm,[status(thm)],[c_0_654,c_0_655]) ).
cnf(c_0_727,negated_conjecture,
( epred50_0
| epred41_0 ),
inference(spm,[status(thm)],[c_0_656,c_0_584]) ).
cnf(c_0_728,negated_conjecture,
( epred31_0
| ~ epred14_0 ),
inference(spm,[status(thm)],[c_0_598,c_0_657]) ).
cnf(c_0_729,negated_conjecture,
( epred31_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_658,c_0_659]) ).
cnf(c_0_730,negated_conjecture,
( epred51_0
| epred38_0
| epred33_0
| epred14_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_660,c_0_661]) ).
cnf(c_0_731,negated_conjecture,
( epred51_0
| epred12_0
| hskp15
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_662,c_0_636]) ).
cnf(c_0_732,negated_conjecture,
( epred50_0
| epred38_0
| epred33_0
| epred14_0
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_660,c_0_663]) ).
cnf(c_0_733,negated_conjecture,
( epred51_0
| epred19_0
| epred14_0
| epred11_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_664,c_0_665]) ).
cnf(c_0_734,negated_conjecture,
( epred17_0
| epred2_0
| hskp27
| hskp9
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_666,c_0_548]) ).
cnf(c_0_735,negated_conjecture,
( epred53_0
| epred38_0
| epred14_0
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_667,c_0_544]) ).
cnf(c_0_736,negated_conjecture,
( epred40_0
| hskp3
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_416]),c_0_417]),c_0_418]) ).
cnf(c_0_737,negated_conjecture,
( epred46_0
| epred33_0
| epred1_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_669,c_0_525]) ).
cnf(c_0_738,negated_conjecture,
( epred38_0
| epred33_0
| epred1_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_494,c_0_525]) ).
cnf(c_0_739,negated_conjecture,
( epred51_0
| epred43_0
| epred32_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_670,c_0_671]) ).
cnf(c_0_740,negated_conjecture,
( epred32_0
| epred20_0
| epred6_0
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_672,c_0_572]) ).
cnf(c_0_741,negated_conjecture,
( epred43_0
| epred32_0
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_670,c_0_572]) ).
cnf(c_0_742,negated_conjecture,
( epred29_0
| hskp4
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_673,c_0_423]),c_0_421]),c_0_425]) ).
cnf(c_0_743,negated_conjecture,
( epred49_0
| epred48_0
| ~ epred53_0
| ~ epred52_0 ),
inference(spm,[status(thm)],[c_0_674,c_0_675]) ).
cnf(c_0_744,negated_conjecture,
( epred24_0
| epred2_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_676]),c_0_531]) ).
cnf(c_0_745,negated_conjecture,
( epred24_0
| epred14_0
| hskp1
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_677,c_0_509]) ).
cnf(c_0_746,negated_conjecture,
( epred48_0
| epred43_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_678,c_0_458]) ).
cnf(c_0_747,negated_conjecture,
( epred45_0
| epred1_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_471,c_0_679]) ).
cnf(c_0_748,negated_conjecture,
( epred53_0
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_567]),c_0_680]),c_0_568]) ).
cnf(c_0_749,negated_conjecture,
( epred44_0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_681]),c_0_563]),c_0_682]) ).
cnf(c_0_750,negated_conjecture,
( epred16_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_625]),c_0_346]),c_0_347]) ).
cnf(c_0_751,negated_conjecture,
( epred16_0
| epred1_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_471,c_0_683]) ).
cnf(c_0_752,negated_conjecture,
( epred14_0
| epred12_0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_684,c_0_509]) ).
cnf(c_0_753,negated_conjecture,
( epred18_0
| epred2_0
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_685,c_0_567]),c_0_568]) ).
cnf(c_0_754,negated_conjecture,
( ~ epred48_0
| ~ epred38_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_686,c_0_380]),c_0_442]),c_0_377]) ).
cnf(c_0_755,negated_conjecture,
( ~ epred46_0
| ~ epred45_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_687,c_0_564]),c_0_330]),c_0_379]) ).
cnf(c_0_756,negated_conjecture,
( ~ epred43_0
| ~ epred16_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_688,c_0_555]),c_0_565]),c_0_382]) ).
cnf(c_0_757,negated_conjecture,
( ~ epred41_0
| ~ epred23_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_689,c_0_536]),c_0_546]),c_0_330]) ).
cnf(c_0_758,negated_conjecture,
( ~ epred44_0
| ~ epred43_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_690,c_0_555]),c_0_624]),c_0_374]) ).
cnf(c_0_759,negated_conjecture,
( ~ epred40_0
| ~ epred38_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_691,c_0_613]),c_0_377]) ).
cnf(c_0_760,negated_conjecture,
( ~ epred36_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_692,c_0_483]),c_0_442]) ).
cnf(c_0_761,negated_conjecture,
( ~ epred33_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_693,c_0_383]),c_0_306]) ).
cnf(c_0_762,negated_conjecture,
( ~ epred32_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_694,c_0_467]),c_0_306]) ).
cnf(c_0_763,negated_conjecture,
( ~ epred29_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_695,c_0_619]),c_0_442]) ).
cnf(c_0_764,negated_conjecture,
( ~ epred25_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_696,c_0_518]),c_0_502]) ).
cnf(c_0_765,negated_conjecture,
( ~ epred21_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_697,c_0_469]),c_0_374]) ).
cnf(c_0_766,negated_conjecture,
( ~ epred20_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_698,c_0_498]),c_0_503]) ).
cnf(c_0_767,negated_conjecture,
( ~ epred18_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_699,c_0_500]),c_0_307]) ).
cnf(c_0_768,negated_conjecture,
( ~ epred16_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_700,c_0_521]),c_0_565]) ).
cnf(c_0_769,negated_conjecture,
( ~ epred12_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_701,c_0_499]),c_0_546]) ).
cnf(c_0_770,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_702,c_0_703,c_0_704,c_0_705,c_0_706,c_0_707,c_0_708,c_0_709,c_0_710,c_0_711,c_0_712,c_0_713,c_0_714,c_0_715,c_0_716,c_0_717,c_0_718,c_0_719,c_0_720,c_0_721,c_0_722,c_0_723,c_0_724,c_0_725,c_0_726,c_0_727,c_0_584,c_0_728,c_0_538,c_0_479,c_0_480,c_0_482,c_0_487,c_0_589,c_0_389,c_0_729,c_0_587,c_0_368,c_0_730,c_0_731,c_0_636,c_0_573,c_0_732,c_0_510,c_0_733,c_0_734,c_0_606,c_0_548,c_0_735,c_0_544,c_0_736,c_0_603,c_0_737,c_0_738,c_0_580,c_0_525,c_0_739,c_0_740,c_0_741,c_0_742,c_0_586,c_0_743,c_0_744,c_0_745,c_0_746,c_0_747,c_0_476,c_0_434,c_0_405,c_0_748,c_0_450,c_0_388,c_0_571,c_0_749,c_0_496,c_0_371,c_0_488,c_0_750,c_0_751,c_0_752,c_0_524,c_0_531,c_0_753,c_0_674,c_0_654,c_0_754,c_0_755,c_0_756,c_0_757,c_0_758,c_0_759,c_0_760,c_0_761,c_0_762,c_0_763,c_0_764,c_0_658,c_0_765,c_0_766,c_0_767,c_0_768,c_0_598,c_0_769,c_0_660,c_0_329,c_0_328,c_0_462,c_0_463,c_0_568,c_0_682,c_0_563,c_0_567,c_0_680,c_0_296]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYN469+1 : TPTP v8.1.0. Released v2.1.0.
% 0.02/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.30 % Computer : n007.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 600
% 0.09/0.30 % DateTime : Mon Jul 11 18:17:04 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.40 # ENIGMATIC: Selected complete mode:
% 58.54/9.08 # ENIGMATIC: Solved by autoschedule:
% 58.54/9.08 # No SInE strategy applied
% 58.54/9.08 # Trying AutoSched0 for 150 seconds
% 58.54/9.08 # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 58.54/9.08 # and selection function SelectMaxLComplexAvoidPosPred.
% 58.54/9.08 #
% 58.54/9.08 # Preprocessing time : 0.024 s
% 58.54/9.08 # SatCheck found unsatisfiable ground set
% 58.54/9.08
% 58.54/9.08 # Proof found!
% 58.54/9.08 # SZS status Theorem
% 58.54/9.08 # SZS output start CNFRefutation
% See solution above
% 58.54/9.08 # Training examples: 0 positive, 0 negative
% 58.54/9.08
% 58.54/9.08 # -------------------------------------------------
% 58.54/9.08 # User time : 6.172 s
% 58.54/9.08 # System time : 0.174 s
% 58.54/9.08 # Total time : 6.346 s
% 58.54/9.08 # Maximum resident set size: 7120 pages
% 58.54/9.08
%------------------------------------------------------------------------------