TSTP Solution File: SYN501+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SYN501+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 04:54:10 EDT 2022
% Result : Theorem 14.70s 3.34s
% Output : CNFRefutation 14.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 152
% Syntax : Number of formulae : 484 ( 2 unt; 0 def)
% Number of atoms : 1816 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2188 ( 856 ~;1291 |; 0 &)
% ( 41 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 71 ( 70 usr; 67 prp; 0-1 aty)
% Number of functors : 24 ( 24 usr; 24 con; 0-0 aty)
% Number of variables : 226 ( 0 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_152,negated_conjecture,
( ndr1_0
| ~ hskp12 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_152) ).
cnf(i_0_10,negated_conjecture,
( hskp12
| hskp13 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_10) ).
cnf(i_0_148,negated_conjecture,
( ndr1_0
| ~ hskp13 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_148) ).
cnf(i_0_117,negated_conjecture,
( ~ hskp20
| ~ c3_1(a132) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_117) ).
cnf(i_0_118,negated_conjecture,
( ~ hskp20
| ~ c2_1(a132) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_118) ).
cnf(i_0_119,negated_conjecture,
( ~ hskp20
| ~ c1_1(a132) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_119) ).
cnf(i_0_145,negated_conjecture,
( ~ hskp13
| ~ c3_1(a116) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_145) ).
cnf(i_0_147,negated_conjecture,
( c0_1(a116)
| ~ hskp13 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_147) ).
cnf(i_0_197,negated_conjecture,
( ~ hskp0
| ~ c3_1(a97) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_197) ).
cnf(i_0_199,negated_conjecture,
( c0_1(a97)
| ~ hskp0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_199) ).
cnf(i_0_198,negated_conjecture,
( ~ hskp0
| ~ c2_1(a97) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_198) ).
cnf(i_0_181,negated_conjecture,
( ~ hskp4
| ~ c3_1(a103) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_181) ).
cnf(i_0_183,negated_conjecture,
( c0_1(a103)
| ~ hskp4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_183) ).
cnf(i_0_182,negated_conjecture,
( c2_1(a103)
| ~ hskp4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_182) ).
cnf(i_0_8,negated_conjecture,
( hskp4
| hskp18
| hskp20 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_8) ).
cnf(i_0_167,negated_conjecture,
( c3_1(a107)
| ~ hskp8 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_167) ).
cnf(i_0_166,negated_conjecture,
( ~ hskp8
| ~ c0_1(a107) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_166) ).
cnf(i_0_165,negated_conjecture,
( ~ hskp8
| ~ c2_1(a107) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_165) ).
cnf(i_0_9,negated_conjecture,
( hskp8
| hskp13
| hskp18 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_9) ).
cnf(i_0_126,negated_conjecture,
( c2_1(a129)
| ~ hskp18 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_126) ).
cnf(i_0_127,negated_conjecture,
( c0_1(a129)
| ~ hskp18 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_127) ).
cnf(i_0_130,negated_conjecture,
( ~ hskp17
| ~ c1_1(a124) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_130) ).
cnf(i_0_131,negated_conjecture,
( c2_1(a124)
| ~ hskp17 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_131) ).
cnf(i_0_17,negated_conjecture,
( hskp0
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_17) ).
cnf(i_0_150,negated_conjecture,
( c1_1(a113)
| ~ hskp12 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_150) ).
cnf(i_0_151,negated_conjecture,
( c0_1(a113)
| ~ hskp12 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_151) ).
cnf(i_0_149,negated_conjecture,
( ~ hskp12
| ~ c2_1(a113) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_149) ).
cnf(i_0_129,negated_conjecture,
( ~ hskp17
| ~ c3_1(a124) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_129) ).
cnf(i_0_79,negated_conjecture,
( hskp0
| c0_1(X1)
| c0_1(X2)
| c2_1(X1)
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_79) ).
cnf(i_0_146,negated_conjecture,
( c1_1(a116)
| ~ hskp13 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_146) ).
cnf(i_0_16,negated_conjecture,
( hskp6
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_16) ).
cnf(i_0_58,negated_conjecture,
( hskp5
| hskp13
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_58) ).
cnf(i_0_64,negated_conjecture,
( hskp5
| hskp11
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_64) ).
cnf(i_0_125,negated_conjecture,
( ~ hskp18
| ~ c1_1(a129) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_125) ).
cnf(i_0_159,negated_conjecture,
( c1_1(a110)
| ~ hskp10 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_159) ).
cnf(i_0_157,negated_conjecture,
( ~ hskp10
| ~ c3_1(a110) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_157) ).
cnf(i_0_122,negated_conjecture,
( c3_1(a130)
| ~ hskp19 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_122) ).
cnf(i_0_123,negated_conjecture,
( c1_1(a130)
| ~ hskp19 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_123) ).
cnf(i_0_121,negated_conjecture,
( ~ hskp19
| ~ c2_1(a130) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_121) ).
cnf(i_0_7,negated_conjecture,
( hskp17
| hskp18
| hskp19 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_7) ).
cnf(i_0_44,negated_conjecture,
( c2_1(X1)
| c3_1(X2)
| c1_1(X3)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_44) ).
cnf(i_0_193,negated_conjecture,
( ~ hskp1
| ~ c3_1(a98) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_193) ).
cnf(i_0_195,negated_conjecture,
( c0_1(a98)
| ~ hskp1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_195) ).
cnf(i_0_46,negated_conjecture,
( hskp18
| hskp19
| c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_46) ).
cnf(i_0_177,negated_conjecture,
( ~ hskp5
| ~ c3_1(a104) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_177) ).
cnf(i_0_179,negated_conjecture,
( c2_1(a104)
| ~ hskp5 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_179) ).
cnf(i_0_178,negated_conjecture,
( ~ hskp5
| ~ c0_1(a104) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_178) ).
cnf(i_0_71,negated_conjecture,
( hskp4
| hskp5
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_71) ).
cnf(i_0_155,negated_conjecture,
( c3_1(a112)
| ~ hskp11 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_155) ).
cnf(i_0_154,negated_conjecture,
( ~ hskp11
| ~ c0_1(a112) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_154) ).
cnf(i_0_78,negated_conjecture,
( hskp1
| hskp2
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_78) ).
cnf(i_0_56,negated_conjecture,
( hskp1
| hskp14
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_56) ).
cnf(i_0_49,negated_conjecture,
( hskp9
| hskp17
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_49) ).
cnf(i_0_20,negated_conjecture,
( hskp19
| hskp27
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_20) ).
cnf(i_0_194,negated_conjecture,
( ~ hskp1
| ~ c1_1(a98) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_194) ).
cnf(i_0_32,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c2_1(X3)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X3)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_32) ).
cnf(i_0_89,negated_conjecture,
( c3_1(a101)
| ~ hskp27 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_89) ).
cnf(i_0_90,negated_conjecture,
( c1_1(a101)
| ~ hskp27 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_90) ).
cnf(i_0_158,negated_conjecture,
( ~ hskp10
| ~ c2_1(a110) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_158) ).
cnf(i_0_137,negated_conjecture,
( ~ hskp15
| ~ c3_1(a121) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_137) ).
cnf(i_0_139,negated_conjecture,
( ~ hskp15
| ~ c0_1(a121) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_139) ).
cnf(i_0_138,negated_conjecture,
( ~ hskp15
| ~ c2_1(a121) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_138) ).
cnf(i_0_86,negated_conjecture,
( c1_1(a137)
| ~ hskp28 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_86) ).
cnf(i_0_87,negated_conjecture,
( c0_1(a137)
| ~ hskp28 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_87) ).
cnf(i_0_85,negated_conjecture,
( c2_1(a137)
| ~ hskp28 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_85) ).
cnf(i_0_91,negated_conjecture,
( c0_1(a101)
| ~ hskp27 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_91) ).
cnf(i_0_142,negated_conjecture,
( ~ hskp14
| ~ c1_1(a120) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_142) ).
cnf(i_0_191,negated_conjecture,
( c2_1(a99)
| ~ hskp2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_191) ).
cnf(i_0_170,negated_conjecture,
( c3_1(a106)
| ~ hskp7 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_170) ).
cnf(i_0_134,negated_conjecture,
( ~ hskp16
| ~ c1_1(a122) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_134) ).
cnf(i_0_189,negated_conjecture,
( ~ hskp2
| ~ c1_1(a99) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_189) ).
cnf(i_0_110,negated_conjecture,
( c3_1(a138)
| ~ hskp22 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_110) ).
cnf(i_0_135,negated_conjecture,
( c0_1(a122)
| ~ hskp16 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_135) ).
cnf(i_0_2,negated_conjecture,
( hskp8
| hskp10
| hskp16 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_2) ).
cnf(i_0_173,negated_conjecture,
( ~ hskp6
| ~ c3_1(a105) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_173) ).
cnf(i_0_174,negated_conjecture,
( c2_1(a105)
| ~ hskp6 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_174) ).
cnf(i_0_175,negated_conjecture,
( c1_1(a105)
| ~ hskp6 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_175) ).
cnf(i_0_101,negated_conjecture,
( ~ hskp24
| ~ c3_1(a147) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_101) ).
cnf(i_0_103,negated_conjecture,
( ~ hskp24
| ~ c0_1(a147) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_103) ).
cnf(i_0_102,negated_conjecture,
( ~ hskp24
| ~ c1_1(a147) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_102) ).
cnf(i_0_143,negated_conjecture,
( ~ hskp14
| ~ c0_1(a120) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_143) ).
cnf(i_0_141,negated_conjecture,
( ~ hskp14
| ~ c2_1(a120) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_141) ).
cnf(i_0_12,negated_conjecture,
( hskp4
| hskp22
| hskp28 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_12) ).
cnf(i_0_163,negated_conjecture,
( c1_1(a108)
| ~ hskp9 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_163) ).
cnf(i_0_162,negated_conjecture,
( c2_1(a108)
| ~ hskp9 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_162) ).
cnf(i_0_161,negated_conjecture,
( ~ hskp9
| ~ c0_1(a108) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_161) ).
cnf(i_0_133,negated_conjecture,
( ~ hskp16
| ~ c2_1(a122) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_133) ).
cnf(i_0_109,negated_conjecture,
( ~ hskp22
| ~ c2_1(a138) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_109) ).
cnf(i_0_190,negated_conjecture,
( ~ hskp2
| ~ c0_1(a99) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_190) ).
cnf(i_0_25,negated_conjecture,
( hskp2
| hskp16
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_25) ).
cnf(i_0_24,negated_conjecture,
( hskp7
| hskp20
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_24) ).
cnf(i_0_54,negated_conjecture,
( c0_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c2_1(X3)
| ~ c2_1(X1)
| ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_54) ).
cnf(i_0_36,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X3)
| ~ c1_1(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_36) ).
cnf(i_0_38,negated_conjecture,
( c2_1(X1)
| c2_1(X2)
| c3_1(X2)
| c3_1(X3)
| c1_1(X3)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X3)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_38) ).
cnf(i_0_48,negated_conjecture,
( c2_1(X1)
| c2_1(X2)
| c3_1(X3)
| c3_1(X1)
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_48) ).
cnf(i_0_77,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c0_1(X3)
| c3_1(X1)
| c3_1(X3)
| c1_1(X2)
| c1_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_77) ).
cnf(i_0_80,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X1)
| c1_1(X2)
| c1_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_80) ).
cnf(i_0_31,negated_conjecture,
( hskp24
| c2_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_31) ).
cnf(i_0_53,negated_conjecture,
( hskp16
| c0_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_53) ).
cnf(i_0_22,negated_conjecture,
( hskp11
| c2_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_22) ).
cnf(i_0_30,negated_conjecture,
( hskp1
| c3_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_30) ).
cnf(i_0_40,negated_conjecture,
( hskp28
| c2_1(X1)
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_40) ).
cnf(i_0_43,negated_conjecture,
( hskp20
| c2_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_43) ).
cnf(i_0_52,negated_conjecture,
( hskp0
| c0_1(X1)
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_52) ).
cnf(i_0_47,negated_conjecture,
( hskp15
| c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_47) ).
cnf(i_0_65,negated_conjecture,
( hskp10
| c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_65) ).
cnf(i_0_45,negated_conjecture,
( hskp4
| c2_1(X1)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_45) ).
cnf(i_0_72,negated_conjecture,
( hskp1
| c0_1(X1)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_72) ).
cnf(i_0_153,negated_conjecture,
( ~ hskp11
| ~ c1_1(a112) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_153) ).
cnf(i_0_169,negated_conjecture,
( ~ hskp7
| ~ c0_1(a106) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_169) ).
cnf(i_0_171,negated_conjecture,
( c2_1(a106)
| ~ hskp7 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6de1wvyd/input.p',i_0_171) ).
cnf(c_0_311,negated_conjecture,
( ndr1_0
| ~ hskp12 ),
i_0_152 ).
cnf(c_0_312,negated_conjecture,
( hskp12
| hskp13 ),
i_0_10 ).
cnf(c_0_313,negated_conjecture,
( ndr1_0
| ~ hskp13 ),
i_0_148 ).
fof(c_0_314,plain,
( ~ epred57_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_315,plain,
( ~ epred1_0
<=> ! [X2] :
( hskp0
| c0_1(X2)
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_316,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_313]) ).
fof(c_0_317,plain,
( ~ epred11_0
<=> ! [X2] :
( c3_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_318,negated_conjecture,
( ~ hskp20
| ~ c3_1(a132) ),
i_0_117 ).
cnf(c_0_319,negated_conjecture,
( epred57_0
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_314]) ).
cnf(c_0_320,negated_conjecture,
( ~ hskp20
| ~ c2_1(a132) ),
i_0_118 ).
cnf(c_0_321,negated_conjecture,
( ~ hskp20
| ~ c1_1(a132) ),
i_0_119 ).
cnf(c_0_322,negated_conjecture,
( epred1_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_315]),c_0_316])]) ).
cnf(c_0_323,negated_conjecture,
( ~ hskp13
| ~ c3_1(a116) ),
i_0_145 ).
cnf(c_0_324,negated_conjecture,
( epred11_0
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_317]) ).
cnf(c_0_325,negated_conjecture,
( c0_1(a116)
| ~ hskp13 ),
i_0_147 ).
fof(c_0_326,plain,
( ~ epred39_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_327,negated_conjecture,
( epred57_0
| ~ c0_1(a132)
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_319]),c_0_320]) ).
cnf(c_0_328,negated_conjecture,
( epred1_0
| c0_1(a132)
| hskp0
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_320]) ).
cnf(c_0_329,negated_conjecture,
( ~ hskp0
| ~ c3_1(a97) ),
i_0_197 ).
cnf(c_0_330,negated_conjecture,
( c0_1(a97)
| ~ hskp0 ),
i_0_199 ).
cnf(c_0_331,negated_conjecture,
( ~ hskp0
| ~ c2_1(a97) ),
i_0_198 ).
fof(c_0_332,plain,
( ~ epred2_0
<=> ! [X1] :
( c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_333,negated_conjecture,
( epred11_0
| ~ c2_1(a116)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_325]) ).
cnf(c_0_334,negated_conjecture,
( epred57_0
| c2_1(a116)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_319]),c_0_325]) ).
cnf(c_0_335,negated_conjecture,
( epred39_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_326]) ).
cnf(c_0_336,negated_conjecture,
( ~ hskp4
| ~ c3_1(a103) ),
i_0_181 ).
cnf(c_0_337,negated_conjecture,
( c0_1(a103)
| ~ hskp4 ),
i_0_183 ).
cnf(c_0_338,negated_conjecture,
( c2_1(a103)
| ~ hskp4 ),
i_0_182 ).
cnf(c_0_339,negated_conjecture,
( epred57_0
| epred1_0
| hskp0
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_327,c_0_328]) ).
cnf(c_0_340,negated_conjecture,
( hskp4
| hskp18
| hskp20 ),
i_0_8 ).
cnf(c_0_341,negated_conjecture,
( epred57_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_319]),c_0_330]),c_0_331]) ).
cnf(c_0_342,negated_conjecture,
( epred2_0
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_332]) ).
cnf(c_0_343,negated_conjecture,
( c3_1(a107)
| ~ hskp8 ),
i_0_167 ).
cnf(c_0_344,negated_conjecture,
( ~ hskp8
| ~ c0_1(a107) ),
i_0_166 ).
cnf(c_0_345,negated_conjecture,
( ~ hskp8
| ~ c2_1(a107) ),
i_0_165 ).
cnf(c_0_346,negated_conjecture,
( epred57_0
| epred11_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_347,negated_conjecture,
( hskp8
| hskp13
| hskp18 ),
i_0_9 ).
fof(c_0_348,plain,
( ~ epred60_0
<=> ! [X3] :
( c1_1(X3)
| ~ c0_1(X3)
| ~ c2_1(X3) ) ),
introduced(definition) ).
fof(c_0_349,plain,
( ~ epred3_0
<=> ! [X1] :
( hskp1
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_350,plain,
( ~ epred37_0
<=> ! [X1] :
( c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_351,plain,
( ~ epred28_0
<=> ! [X1] :
( c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_352,plain,
( ~ epred4_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_353,negated_conjecture,
( epred39_0
| epred11_0
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_335,c_0_324]) ).
cnf(c_0_354,negated_conjecture,
( c2_1(a129)
| ~ hskp18 ),
i_0_126 ).
cnf(c_0_355,negated_conjecture,
( c0_1(a129)
| ~ hskp18 ),
i_0_127 ).
cnf(c_0_356,negated_conjecture,
( epred11_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_324]),c_0_337]),c_0_338]) ).
cnf(c_0_357,negated_conjecture,
( epred57_0
| epred1_0
| hskp18
| hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_341]) ).
cnf(c_0_358,negated_conjecture,
( epred2_0
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_344]),c_0_345]) ).
cnf(c_0_359,negated_conjecture,
( epred57_0
| epred11_0
| hskp18
| hskp8 ),
inference(spm,[status(thm)],[c_0_346,c_0_347]) ).
fof(c_0_360,plain,
( ~ epred63_0
<=> ! [X1] :
( c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_361,plain,
( ~ epred61_0
<=> ! [X1] :
( c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_362,negated_conjecture,
( ~ hskp17
| ~ c1_1(a124) ),
i_0_130 ).
cnf(c_0_363,negated_conjecture,
( epred60_0
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_348]) ).
cnf(c_0_364,negated_conjecture,
( c2_1(a124)
| ~ hskp17 ),
i_0_131 ).
cnf(c_0_365,negated_conjecture,
( epred3_0
| c1_1(X1)
| c0_1(X1)
| hskp1
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_349]),c_0_316])]) ).
cnf(c_0_366,negated_conjecture,
( epred37_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_350]) ).
fof(c_0_367,plain,
( ~ epred59_0
<=> ! [X1] :
( c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_368,negated_conjecture,
( hskp0
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ),
i_0_17 ).
cnf(c_0_369,negated_conjecture,
( epred28_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_351]) ).
cnf(c_0_370,negated_conjecture,
( c1_1(a113)
| ~ hskp12 ),
i_0_150 ).
cnf(c_0_371,negated_conjecture,
( c0_1(a113)
| ~ hskp12 ),
i_0_151 ).
cnf(c_0_372,negated_conjecture,
( ~ hskp12
| ~ c2_1(a113) ),
i_0_149 ).
fof(c_0_373,plain,
( ~ epred47_0
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_374,plain,
( ~ epred9_0
<=> ! [X2] :
( c2_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_375,negated_conjecture,
( ~ hskp17
| ~ c3_1(a124) ),
i_0_129 ).
cnf(c_0_376,negated_conjecture,
( epred4_0
| c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_352]) ).
cnf(c_0_377,negated_conjecture,
( hskp0
| c0_1(X1)
| c0_1(X2)
| c2_1(X1)
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1) ),
i_0_79 ).
cnf(c_0_378,negated_conjecture,
( epred39_0
| epred11_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_355]) ).
cnf(c_0_379,negated_conjecture,
( epred57_0
| epred11_0
| epred1_0
| hskp18 ),
inference(spm,[status(thm)],[c_0_356,c_0_357]) ).
cnf(c_0_380,negated_conjecture,
( epred57_0
| epred11_0
| epred2_0
| hskp18 ),
inference(spm,[status(thm)],[c_0_358,c_0_359]) ).
fof(c_0_381,plain,
( ~ epred24_0
<=> ! [X2] :
( c3_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_382,negated_conjecture,
( c1_1(a116)
| ~ hskp13 ),
i_0_146 ).
cnf(c_0_383,negated_conjecture,
( epred63_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_360]),c_0_316])]) ).
cnf(c_0_384,negated_conjecture,
( epred61_0
| c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_361]),c_0_316])]) ).
fof(c_0_385,plain,
( ~ epred10_0
<=> ! [X1] :
( hskp15
| c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_386,negated_conjecture,
( hskp6
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ),
i_0_16 ).
fof(c_0_387,plain,
( ~ epred18_0
<=> ! [X1] :
( c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_388,negated_conjecture,
( hskp5
| hskp13
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ),
i_0_58 ).
cnf(c_0_389,negated_conjecture,
( hskp5
| hskp11
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0 ),
i_0_64 ).
cnf(c_0_390,negated_conjecture,
( epred60_0
| ~ c0_1(a124)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_363]),c_0_364]) ).
cnf(c_0_391,negated_conjecture,
( epred3_0
| c0_1(a124)
| hskp1
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_364]),c_0_362]) ).
cnf(c_0_392,negated_conjecture,
( ~ hskp18
| ~ c1_1(a129) ),
i_0_125 ).
cnf(c_0_393,negated_conjecture,
( epred57_0
| epred37_0
| c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_366,c_0_319]) ).
cnf(c_0_394,negated_conjecture,
( epred59_0
| c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_367]),c_0_316])]) ).
cnf(c_0_395,negated_conjecture,
( c3_1(X1)
| hskp0
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_368,c_0_316])]) ).
cnf(c_0_396,negated_conjecture,
( epred28_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_371]),c_0_372]) ).
cnf(c_0_397,negated_conjecture,
( c1_1(a110)
| ~ hskp10 ),
i_0_159 ).
cnf(c_0_398,negated_conjecture,
( ~ hskp10
| ~ c3_1(a110) ),
i_0_157 ).
cnf(c_0_399,negated_conjecture,
( epred47_0
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_373]) ).
cnf(c_0_400,negated_conjecture,
( epred9_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_374]) ).
cnf(c_0_401,negated_conjecture,
( c3_1(a130)
| ~ hskp19 ),
i_0_122 ).
cnf(c_0_402,negated_conjecture,
( c1_1(a130)
| ~ hskp19 ),
i_0_123 ).
cnf(c_0_403,negated_conjecture,
( ~ hskp19
| ~ c2_1(a130) ),
i_0_121 ).
cnf(c_0_404,negated_conjecture,
( epred4_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_376]),c_0_364]),c_0_362]) ).
cnf(c_0_405,negated_conjecture,
( hskp17
| hskp18
| hskp19 ),
i_0_7 ).
cnf(c_0_406,negated_conjecture,
( c2_1(X1)
| c3_1(X2)
| c1_1(X3)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X3) ),
i_0_44 ).
cnf(c_0_407,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_377,c_0_315]),c_0_332]) ).
cnf(c_0_408,negated_conjecture,
( epred57_0
| epred39_0
| epred11_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_378,c_0_379]) ).
cnf(c_0_409,negated_conjecture,
( epred57_0
| epred39_0
| epred11_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_378,c_0_380]) ).
fof(c_0_410,plain,
( ~ epred58_0
<=> ! [X3] :
( ~ c2_1(X3)
| ~ c3_1(X3)
| ~ c1_1(X3) ) ),
introduced(definition) ).
fof(c_0_411,plain,
( ~ epred17_0
<=> ! [X2] :
( hskp0
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_412,plain,
( ~ epred52_0
<=> ! [X3] :
( c3_1(X3)
| ~ c2_1(X3)
| ~ c1_1(X3) ) ),
introduced(definition) ).
fof(c_0_413,plain,
( ~ epred51_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_414,plain,
( ~ epred8_0
<=> ! [X1] :
( hskp10
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_415,negated_conjecture,
( epred24_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_381]) ).
fof(c_0_416,plain,
( ~ epred41_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_417,negated_conjecture,
( epred28_0
| c2_1(a116)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_382]),c_0_325]) ).
cnf(c_0_418,negated_conjecture,
( epred63_0
| epred61_0
| c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_383,c_0_384]) ).
fof(c_0_419,plain,
( ~ epred26_0
<=> ! [X2] :
( c1_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_420,plain,
( ~ epred56_0
<=> ! [X3] :
( c3_1(X3)
| c1_1(X3)
| ~ ndr1_0
| ~ c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_421,plain,
( ~ epred16_0
<=> ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_422,plain,
( ~ epred42_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_423,negated_conjecture,
( epred10_0
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp15 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_385]),c_0_316])]) ).
cnf(c_0_424,negated_conjecture,
( c3_1(X1)
| hskp6
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_386,c_0_316])]) ).
fof(c_0_425,plain,
( ~ epred36_0
<=> ! [X2] :
( hskp24
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_426,negated_conjecture,
( ~ hskp1
| ~ c3_1(a98) ),
i_0_193 ).
cnf(c_0_427,negated_conjecture,
( c0_1(a98)
| ~ hskp1 ),
i_0_195 ).
fof(c_0_428,plain,
( ~ epred30_0
<=> ! [X2] :
( hskp11
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_429,negated_conjecture,
( epred18_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_387]) ).
fof(c_0_430,plain,
( ~ epred43_0
<=> ! [X3] :
( c0_1(X3)
| c2_1(X3)
| c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_431,negated_conjecture,
( hskp18
| hskp19
| c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0 ),
i_0_46 ).
cnf(c_0_432,negated_conjecture,
( ~ hskp5
| ~ c3_1(a104) ),
i_0_177 ).
cnf(c_0_433,negated_conjecture,
( c2_1(a104)
| ~ hskp5 ),
i_0_179 ).
cnf(c_0_434,negated_conjecture,
( ~ hskp5
| ~ c0_1(a104) ),
i_0_178 ).
cnf(c_0_435,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| hskp5
| hskp13
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_388,c_0_316])]) ).
cnf(c_0_436,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp11
| hskp5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_389,c_0_316])]) ).
cnf(c_0_437,negated_conjecture,
( hskp4
| hskp5
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ),
i_0_71 ).
cnf(c_0_438,negated_conjecture,
( c3_1(a112)
| ~ hskp11 ),
i_0_155 ).
cnf(c_0_439,negated_conjecture,
( ~ hskp11
| ~ c0_1(a112) ),
i_0_154 ).
cnf(c_0_440,negated_conjecture,
( hskp1
| hskp2
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0 ),
i_0_78 ).
cnf(c_0_441,negated_conjecture,
( hskp1
| hskp14
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ),
i_0_56 ).
cnf(c_0_442,negated_conjecture,
( hskp9
| hskp17
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
i_0_49 ).
cnf(c_0_443,negated_conjecture,
( hskp19
| hskp27
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ),
i_0_20 ).
fof(c_0_444,plain,
( ~ epred62_0
<=> ! [X2] :
( c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_445,plain,
( ~ epred50_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_446,plain,
( ~ epred45_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_447,plain,
( ~ epred32_0
<=> ! [X2] :
( hskp16
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_448,plain,
( ~ epred29_0
<=> ! [X2] :
( hskp1
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_449,plain,
( ~ epred27_0
<=> ! [X2] :
( hskp28
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_450,plain,
( ~ epred25_0
<=> ! [X1] :
( hskp20
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_451,negated_conjecture,
( epred60_0
| epred3_0
| hskp1
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_390,c_0_391]) ).
cnf(c_0_452,negated_conjecture,
( epred60_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_363]),c_0_355]),c_0_354]) ).
cnf(c_0_453,negated_conjecture,
( epred57_0
| epred37_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_393]),c_0_371]) ).
cnf(c_0_454,negated_conjecture,
( epred59_0
| epred28_0
| c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_369,c_0_394]) ).
cnf(c_0_455,negated_conjecture,
( hskp0
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_382]),c_0_325]),c_0_323]) ).
cnf(c_0_456,negated_conjecture,
( epred28_0
| hskp13 ),
inference(spm,[status(thm)],[c_0_396,c_0_312]) ).
cnf(c_0_457,negated_conjecture,
( hskp0
| ~ c0_1(a110)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_397]),c_0_398]) ).
cnf(c_0_458,negated_conjecture,
( epred47_0
| c0_1(a110)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_399]),c_0_397]) ).
cnf(c_0_459,negated_conjecture,
( ~ hskp1
| ~ c1_1(a98) ),
i_0_194 ).
cnf(c_0_460,negated_conjecture,
( epred9_0
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_401]),c_0_402]),c_0_403]) ).
cnf(c_0_461,negated_conjecture,
( epred4_0
| hskp19
| hskp18 ),
inference(spm,[status(thm)],[c_0_404,c_0_405]) ).
cnf(c_0_462,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c2_1(X3)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X3)
| ~ c3_1(X1) ),
i_0_32 ).
cnf(c_0_463,negated_conjecture,
( ~ epred60_0
| ~ epred59_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_406,c_0_367]),c_0_348]),c_0_317]) ).
cnf(c_0_464,negated_conjecture,
( epred57_0
| epred39_0
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_408]),c_0_409]) ).
cnf(c_0_465,negated_conjecture,
( epred58_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_410]) ).
cnf(c_0_466,negated_conjecture,
( c3_1(a101)
| ~ hskp27 ),
i_0_89 ).
cnf(c_0_467,negated_conjecture,
( c1_1(a101)
| ~ hskp27 ),
i_0_90 ).
cnf(c_0_468,negated_conjecture,
( epred17_0
| c3_1(X1)
| hskp0
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_411]),c_0_316])]) ).
cnf(c_0_469,negated_conjecture,
( epred52_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_412]) ).
cnf(c_0_470,negated_conjecture,
( epred51_0
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_413]) ).
cnf(c_0_471,negated_conjecture,
( ~ hskp10
| ~ c2_1(a110) ),
i_0_158 ).
cnf(c_0_472,negated_conjecture,
( ~ hskp15
| ~ c3_1(a121) ),
i_0_137 ).
cnf(c_0_473,negated_conjecture,
( epred8_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_414]),c_0_316])]) ).
cnf(c_0_474,negated_conjecture,
( ~ hskp15
| ~ c0_1(a121) ),
i_0_139 ).
cnf(c_0_475,negated_conjecture,
( ~ hskp15
| ~ c2_1(a121) ),
i_0_138 ).
cnf(c_0_476,negated_conjecture,
( epred24_0
| ~ c0_1(a110)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_415]),c_0_397]) ).
fof(c_0_477,plain,
( ~ epred46_0
<=> ! [X3] :
( c0_1(X3)
| c3_1(X3)
| c1_1(X3) ) ),
introduced(definition) ).
fof(c_0_478,plain,
( ~ epred44_0
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_479,negated_conjecture,
( epred41_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_416]) ).
cnf(c_0_480,negated_conjecture,
( c1_1(a137)
| ~ hskp28 ),
i_0_86 ).
cnf(c_0_481,negated_conjecture,
( c0_1(a137)
| ~ hskp28 ),
i_0_87 ).
cnf(c_0_482,negated_conjecture,
( c2_1(a137)
| ~ hskp28 ),
i_0_85 ).
cnf(c_0_483,negated_conjecture,
( c0_1(a101)
| ~ hskp27 ),
i_0_91 ).
cnf(c_0_484,negated_conjecture,
( epred28_0
| epred11_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_333,c_0_417]) ).
fof(c_0_485,plain,
( ~ epred5_0
<=> ! [X1] :
( hskp4
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_486,negated_conjecture,
( epred63_0
| epred61_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_418]),c_0_364]) ).
cnf(c_0_487,negated_conjecture,
( epred26_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_419]) ).
cnf(c_0_488,negated_conjecture,
( epred56_0
| c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_420]),c_0_316])]) ).
cnf(c_0_489,negated_conjecture,
( epred16_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_421]) ).
cnf(c_0_490,negated_conjecture,
( epred42_0
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_422]),c_0_316])]) ).
cnf(c_0_491,negated_conjecture,
( epred10_0
| c1_1(a97)
| hskp15
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_423]),c_0_331]) ).
cnf(c_0_492,negated_conjecture,
( c3_1(a113)
| hskp0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_370]),c_0_371]) ).
cnf(c_0_493,negated_conjecture,
( c3_1(a113)
| hskp6
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_370]),c_0_371]) ).
cnf(c_0_494,negated_conjecture,
( epred36_0
| c1_1(X1)
| hskp24
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_425]),c_0_316])]) ).
cnf(c_0_495,negated_conjecture,
( epred57_0
| c2_1(a98)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_319]),c_0_427]) ).
cnf(c_0_496,negated_conjecture,
( epred30_0
| c3_1(X1)
| hskp11
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_428]),c_0_316])]) ).
cnf(c_0_497,negated_conjecture,
( epred37_0
| epred24_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_366,c_0_415]) ).
cnf(c_0_498,negated_conjecture,
( epred24_0
| epred9_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_400,c_0_415]) ).
cnf(c_0_499,negated_conjecture,
( epred18_0
| ~ c1_1(a107)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_343]),c_0_344]) ).
cnf(c_0_500,negated_conjecture,
( epred43_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_430]) ).
cnf(c_0_501,negated_conjecture,
( epred9_0
| ~ c1_1(a107)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_343]),c_0_345]) ).
cnf(c_0_502,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp19
| hskp18 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_431,c_0_316])]) ).
cnf(c_0_503,negated_conjecture,
( epred4_0
| c1_1(a104)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_376]),c_0_433]) ).
cnf(c_0_504,negated_conjecture,
( epred3_0
| c1_1(a104)
| hskp1
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_433]),c_0_434]) ).
cnf(c_0_505,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| hskp11
| hskp5
| hskp13 ),
inference(spm,[status(thm)],[c_0_435,c_0_436]) ).
cnf(c_0_506,negated_conjecture,
( c1_1(X1)
| c0_1(X1)
| hskp5
| hskp4
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_437,c_0_316])]) ).
cnf(c_0_507,negated_conjecture,
( epred2_0
| c2_1(a112)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_438]),c_0_439]) ).
cnf(c_0_508,negated_conjecture,
( ~ hskp14
| ~ c1_1(a120) ),
i_0_142 ).
cnf(c_0_509,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp2
| hskp1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_440,c_0_316])]) ).
cnf(c_0_510,negated_conjecture,
( c3_1(X1)
| c0_1(X1)
| hskp14
| hskp1
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_441,c_0_316])]) ).
cnf(c_0_511,negated_conjecture,
( c2_1(a99)
| ~ hskp2 ),
i_0_191 ).
cnf(c_0_512,negated_conjecture,
( c0_1(X1)
| hskp17
| hskp9
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_316])]) ).
cnf(c_0_513,negated_conjecture,
( c3_1(a106)
| ~ hskp7 ),
i_0_170 ).
cnf(c_0_514,negated_conjecture,
( c3_1(X1)
| hskp27
| hskp19
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_443,c_0_316])]) ).
cnf(c_0_515,negated_conjecture,
( epred62_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_444]),c_0_316])]) ).
cnf(c_0_516,negated_conjecture,
( ~ hskp16
| ~ c1_1(a122) ),
i_0_134 ).
cnf(c_0_517,negated_conjecture,
( epred50_0
| c1_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_445]),c_0_316])]) ).
cnf(c_0_518,negated_conjecture,
( epred45_0
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_446]),c_0_316])]) ).
cnf(c_0_519,negated_conjecture,
( ~ hskp2
| ~ c1_1(a99) ),
i_0_189 ).
cnf(c_0_520,negated_conjecture,
( epred32_0
| c3_1(X1)
| hskp16
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_447]),c_0_316])]) ).
cnf(c_0_521,negated_conjecture,
( epred29_0
| c1_1(X1)
| hskp1
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_448]),c_0_316])]) ).
cnf(c_0_522,negated_conjecture,
( epred27_0
| c1_1(X1)
| c2_1(X1)
| hskp28
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_449]),c_0_316])]) ).
cnf(c_0_523,negated_conjecture,
( c3_1(a138)
| ~ hskp22 ),
i_0_110 ).
cnf(c_0_524,negated_conjecture,
( epred25_0
| c1_1(X1)
| c2_1(X1)
| hskp20
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_450]),c_0_316])]) ).
cnf(c_0_525,negated_conjecture,
( c0_1(a122)
| ~ hskp16 ),
i_0_135 ).
cnf(c_0_526,negated_conjecture,
( epred60_0
| epred3_0
| hskp19
| hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_405]),c_0_452]) ).
cnf(c_0_527,negated_conjecture,
( epred57_0
| epred37_0
| hskp13 ),
inference(spm,[status(thm)],[c_0_453,c_0_312]) ).
cnf(c_0_528,negated_conjecture,
( epred59_0
| epred28_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_454]),c_0_330]) ).
cnf(c_0_529,negated_conjecture,
( epred28_0
| hskp0 ),
inference(spm,[status(thm)],[c_0_455,c_0_456]) ).
cnf(c_0_530,negated_conjecture,
( epred47_0
| hskp0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_457,c_0_458]) ).
cnf(c_0_531,negated_conjecture,
( hskp8
| hskp10
| hskp16 ),
i_0_2 ).
cnf(c_0_532,negated_conjecture,
( epred60_0
| ~ c2_1(a98)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_363]),c_0_427]) ).
cnf(c_0_533,negated_conjecture,
( epred9_0
| epred4_0
| hskp18 ),
inference(spm,[status(thm)],[c_0_460,c_0_461]) ).
cnf(c_0_534,negated_conjecture,
( ~ epred63_0
| ~ epred60_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_462,c_0_360]),c_0_348]),c_0_326]) ).
cnf(c_0_535,negated_conjecture,
( epred57_0
| epred39_0
| ~ epred60_0
| ~ epred59_0 ),
inference(spm,[status(thm)],[c_0_463,c_0_464]) ).
cnf(c_0_536,negated_conjecture,
( epred58_0
| ~ c2_1(a101)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_466]),c_0_467]) ).
cnf(c_0_537,negated_conjecture,
( epred9_0
| c2_1(a101)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_466]),c_0_467]) ).
cnf(c_0_538,negated_conjecture,
( epred17_0
| hskp0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_427]),c_0_426]) ).
cnf(c_0_539,negated_conjecture,
( epred11_0
| ~ c2_1(a98)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_324]),c_0_427]) ).
cnf(c_0_540,negated_conjecture,
( epred52_0
| ~ c2_1(a116)
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_469]),c_0_382]) ).
cnf(c_0_541,negated_conjecture,
( ~ hskp6
| ~ c3_1(a105) ),
i_0_173 ).
cnf(c_0_542,negated_conjecture,
( c2_1(a105)
| ~ hskp6 ),
i_0_174 ).
cnf(c_0_543,negated_conjecture,
( c1_1(a105)
| ~ hskp6 ),
i_0_175 ).
cnf(c_0_544,negated_conjecture,
( epred51_0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_470]),c_0_397]),c_0_471]) ).
cnf(c_0_545,negated_conjecture,
( epred8_0
| hskp10
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_473]),c_0_474]),c_0_475]) ).
cnf(c_0_546,negated_conjecture,
( epred47_0
| epred24_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_476,c_0_458]) ).
cnf(c_0_547,negated_conjecture,
( ~ hskp24
| ~ c3_1(a147) ),
i_0_101 ).
cnf(c_0_548,negated_conjecture,
( epred46_0
| c1_1(X1)
| c3_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_477]) ).
cnf(c_0_549,negated_conjecture,
( ~ hskp24
| ~ c0_1(a147) ),
i_0_103 ).
cnf(c_0_550,negated_conjecture,
( ~ hskp24
| ~ c1_1(a147) ),
i_0_102 ).
cnf(c_0_551,negated_conjecture,
( epred44_0
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_478]) ).
cnf(c_0_552,negated_conjecture,
( ~ hskp14
| ~ c0_1(a120) ),
i_0_143 ).
cnf(c_0_553,negated_conjecture,
( ~ hskp14
| ~ c2_1(a120) ),
i_0_141 ).
cnf(c_0_554,negated_conjecture,
( epred41_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_480]),c_0_481]),c_0_482]) ).
cnf(c_0_555,negated_conjecture,
( hskp4
| hskp22
| hskp28 ),
i_0_12 ).
cnf(c_0_556,negated_conjecture,
( epred39_0
| ~ c2_1(a101)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_466]),c_0_483]) ).
cnf(c_0_557,negated_conjecture,
( epred28_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_484,c_0_456]) ).
cnf(c_0_558,negated_conjecture,
( c1_1(a108)
| ~ hskp9 ),
i_0_163 ).
cnf(c_0_559,negated_conjecture,
( c2_1(a108)
| ~ hskp9 ),
i_0_162 ).
cnf(c_0_560,negated_conjecture,
( ~ hskp9
| ~ c0_1(a108) ),
i_0_161 ).
cnf(c_0_561,negated_conjecture,
( epred5_0
| c1_1(X1)
| c2_1(X1)
| hskp4
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_485]),c_0_316])]) ).
cnf(c_0_562,negated_conjecture,
( ~ hskp16
| ~ c2_1(a122) ),
i_0_133 ).
cnf(c_0_563,negated_conjecture,
( ~ hskp22
| ~ c2_1(a138) ),
i_0_109 ).
cnf(c_0_564,negated_conjecture,
( epred63_0
| epred61_0
| hskp19
| hskp18 ),
inference(spm,[status(thm)],[c_0_486,c_0_405]) ).
cnf(c_0_565,negated_conjecture,
( epred63_0
| epred61_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_418]),c_0_354]) ).
cnf(c_0_566,negated_conjecture,
( ~ hskp2
| ~ c0_1(a99) ),
i_0_190 ).
cnf(c_0_567,negated_conjecture,
( hskp2
| hskp16
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
i_0_25 ).
cnf(c_0_568,negated_conjecture,
( epred63_0
| epred4_0
| c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_383,c_0_376]) ).
cnf(c_0_569,negated_conjecture,
( hskp7
| hskp20
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ),
i_0_24 ).
cnf(c_0_570,negated_conjecture,
( epred56_0
| epred26_0
| c1_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_487,c_0_488]) ).
cnf(c_0_571,negated_conjecture,
( epred42_0
| epred16_0
| c0_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_489,c_0_490]) ).
cnf(c_0_572,negated_conjecture,
( epred51_0
| epred9_0
| c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_400,c_0_470]) ).
cnf(c_0_573,negated_conjecture,
( c0_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c2_1(X3)
| ~ c2_1(X1)
| ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c1_1(X1) ),
i_0_54 ).
cnf(c_0_574,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X3)
| ~ c1_1(X3) ),
i_0_36 ).
cnf(c_0_575,negated_conjecture,
( c2_1(X1)
| c2_1(X2)
| c3_1(X2)
| c3_1(X3)
| c1_1(X3)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X3)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
i_0_38 ).
cnf(c_0_576,negated_conjecture,
( c2_1(X1)
| c2_1(X2)
| c3_1(X3)
| c3_1(X1)
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c1_1(X3)
| ~ c1_1(X1) ),
i_0_48 ).
cnf(c_0_577,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c0_1(X3)
| c3_1(X1)
| c3_1(X3)
| c1_1(X2)
| c1_1(X3)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X1) ),
i_0_77 ).
cnf(c_0_578,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X1)
| c1_1(X2)
| c1_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X2) ),
i_0_80 ).
cnf(c_0_579,negated_conjecture,
( hskp24
| c2_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X1) ),
i_0_31 ).
cnf(c_0_580,negated_conjecture,
( hskp16
| c0_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
i_0_53 ).
cnf(c_0_581,negated_conjecture,
( hskp11
| c2_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
i_0_22 ).
cnf(c_0_582,negated_conjecture,
( hskp1
| c3_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X1) ),
i_0_30 ).
cnf(c_0_583,negated_conjecture,
( hskp28
| c2_1(X1)
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1) ),
i_0_40 ).
cnf(c_0_584,negated_conjecture,
( hskp20
| c2_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X2) ),
i_0_43 ).
cnf(c_0_585,negated_conjecture,
( hskp0
| c0_1(X1)
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
i_0_52 ).
cnf(c_0_586,negated_conjecture,
( hskp15
| c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
i_0_47 ).
cnf(c_0_587,negated_conjecture,
( hskp10
| c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X2) ),
i_0_65 ).
cnf(c_0_588,negated_conjecture,
( hskp4
| c2_1(X1)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X2) ),
i_0_45 ).
cnf(c_0_589,negated_conjecture,
( hskp1
| c0_1(X1)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1) ),
i_0_72 ).
cnf(c_0_590,negated_conjecture,
( epred28_0
| c2_1(a97)
| epred10_0
| hskp15
| ~ c0_1(a97)
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_369,c_0_491]) ).
cnf(c_0_591,negated_conjecture,
( epred9_0
| c2_1(a113)
| hskp0
| ~ c1_1(a113)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_400,c_0_492]) ).
cnf(c_0_592,negated_conjecture,
( epred9_0
| c2_1(a113)
| hskp6
| ~ c1_1(a113)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_400,c_0_493]) ).
cnf(c_0_593,negated_conjecture,
( epred36_0
| c1_1(a98)
| hskp24
| epred57_0
| ~ c0_1(a98)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_494,c_0_495]) ).
cnf(c_0_594,negated_conjecture,
( epred30_0
| c3_1(a98)
| hskp11
| epred57_0
| ~ c0_1(a98)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_496,c_0_495]) ).
cnf(c_0_595,negated_conjecture,
( epred37_0
| epred24_0
| c2_1(a113)
| ~ c0_1(a113)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_497,c_0_370]) ).
cnf(c_0_596,negated_conjecture,
( epred24_0
| epred9_0
| c2_1(a113)
| ~ c0_1(a113)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_498,c_0_370]) ).
cnf(c_0_597,negated_conjecture,
( epred18_0
| epred43_0
| c2_1(a107)
| c0_1(a107)
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_499,c_0_500]) ).
cnf(c_0_598,negated_conjecture,
( epred9_0
| epred43_0
| c2_1(a107)
| c0_1(a107)
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_501,c_0_500]) ).
cnf(c_0_599,negated_conjecture,
( epred9_0
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp18 ),
inference(spm,[status(thm)],[c_0_460,c_0_502]) ).
cnf(c_0_600,negated_conjecture,
( epred16_0
| c0_1(a104)
| epred4_0
| ~ c2_1(a104)
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_489,c_0_503]) ).
cnf(c_0_601,negated_conjecture,
( epred16_0
| c0_1(a104)
| epred3_0
| hskp1
| ~ c2_1(a104)
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_489,c_0_504]) ).
cnf(c_0_602,negated_conjecture,
( c0_1(a132)
| hskp11
| hskp5
| hskp13
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_320,c_0_505]) ).
cnf(c_0_603,negated_conjecture,
( c1_1(a112)
| c0_1(a112)
| hskp5
| hskp4
| epred2_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_506,c_0_507]) ).
cnf(c_0_604,negated_conjecture,
( c2_1(a120)
| c0_1(a120)
| hskp2
| hskp1
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_508,c_0_509]) ).
cnf(c_0_605,negated_conjecture,
( c2_1(a110)
| c0_1(a110)
| hskp11
| hskp5
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_398,c_0_436]) ).
cnf(c_0_606,negated_conjecture,
( c1_1(a98)
| c2_1(a98)
| hskp19
| hskp18
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_426,c_0_502]) ).
cnf(c_0_607,negated_conjecture,
( c2_1(a107)
| c0_1(a107)
| hskp5
| hskp13
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_435,c_0_343]) ).
cnf(c_0_608,negated_conjecture,
( c3_1(a104)
| c0_1(a104)
| hskp14
| hskp1
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_510,c_0_433]) ).
cnf(c_0_609,negated_conjecture,
( c1_1(a99)
| c0_1(a99)
| hskp5
| hskp4
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_506,c_0_511]) ).
cnf(c_0_610,negated_conjecture,
( c0_1(a106)
| hskp17
| hskp9
| ~ c2_1(a106)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_512,c_0_513]) ).
cnf(c_0_611,negated_conjecture,
( c3_1(a116)
| hskp27
| hskp19
| ~ c0_1(a116)
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_514,c_0_382]) ).
cnf(c_0_612,negated_conjecture,
( epred62_0
| c2_1(a113)
| ~ c0_1(a113)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_515,c_0_370]) ).
cnf(c_0_613,negated_conjecture,
( epred61_0
| c1_1(a98)
| ~ hskp1
| ~ c2_1(a98) ),
inference(spm,[status(thm)],[c_0_426,c_0_384]) ).
cnf(c_0_614,negated_conjecture,
( epred59_0
| c2_1(a122)
| ~ hskp16
| ~ c0_1(a122) ),
inference(spm,[status(thm)],[c_0_516,c_0_394]) ).
cnf(c_0_615,negated_conjecture,
( epred56_0
| c1_1(a97)
| ~ hskp0
| ~ c0_1(a97) ),
inference(spm,[status(thm)],[c_0_329,c_0_488]) ).
cnf(c_0_616,negated_conjecture,
( epred56_0
| c1_1(a98)
| ~ hskp1
| ~ c0_1(a98) ),
inference(spm,[status(thm)],[c_0_426,c_0_488]) ).
cnf(c_0_617,negated_conjecture,
( epred56_0
| c1_1(a132)
| ~ hskp20
| ~ c0_1(a132) ),
inference(spm,[status(thm)],[c_0_318,c_0_488]) ).
cnf(c_0_618,negated_conjecture,
( epred50_0
| c1_1(a98)
| c2_1(a98)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_426,c_0_517]) ).
cnf(c_0_619,negated_conjecture,
( epred50_0
| c1_1(a132)
| c2_1(a132)
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_318,c_0_517]) ).
cnf(c_0_620,negated_conjecture,
( epred45_0
| c1_1(a112)
| c0_1(a112)
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_518,c_0_438]) ).
cnf(c_0_621,negated_conjecture,
( epred42_0
| c0_1(a99)
| ~ hskp2
| ~ c2_1(a99) ),
inference(spm,[status(thm)],[c_0_519,c_0_490]) ).
cnf(c_0_622,negated_conjecture,
( epred36_0
| c1_1(a129)
| hskp24
| ~ c0_1(a129)
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_494,c_0_354]) ).
cnf(c_0_623,negated_conjecture,
( epred32_0
| c3_1(a103)
| hskp16
| ~ c0_1(a103)
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_520,c_0_338]) ).
cnf(c_0_624,negated_conjecture,
( epred29_0
| c1_1(a129)
| hskp1
| ~ c0_1(a129)
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_521,c_0_354]) ).
cnf(c_0_625,negated_conjecture,
( epred27_0
| c1_1(a138)
| c2_1(a138)
| hskp28
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_522,c_0_523]) ).
cnf(c_0_626,negated_conjecture,
( epred27_0
| c1_1(a107)
| c2_1(a107)
| hskp28
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_522,c_0_343]) ).
cnf(c_0_627,negated_conjecture,
( epred25_0
| c1_1(a122)
| c2_1(a122)
| hskp20
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_524,c_0_525]) ).
cnf(c_0_628,negated_conjecture,
( epred60_0
| epred9_0
| epred3_0
| hskp1 ),
inference(spm,[status(thm)],[c_0_460,c_0_526]) ).
cnf(c_0_629,negated_conjecture,
( epred57_0
| epred37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_527]),c_0_341]) ).
cnf(c_0_630,negated_conjecture,
( epred59_0
| epred28_0 ),
inference(spm,[status(thm)],[c_0_528,c_0_529]) ).
cnf(c_0_631,negated_conjecture,
( epred47_0
| hskp16
| hskp8
| hskp0 ),
inference(spm,[status(thm)],[c_0_530,c_0_531]) ).
cnf(c_0_632,negated_conjecture,
( hskp6
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_382]),c_0_325]),c_0_323]) ).
cnf(c_0_633,negated_conjecture,
( epred60_0
| epred57_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_532,c_0_495]) ).
cnf(c_0_634,negated_conjecture,
( epred60_0
| epred9_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_452,c_0_533]) ).
cnf(c_0_635,negated_conjecture,
( epred57_0
| ~ epred63_0
| ~ epred60_0
| ~ epred59_0 ),
inference(spm,[status(thm)],[c_0_534,c_0_535]) ).
cnf(c_0_636,negated_conjecture,
( epred58_0
| epred9_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_536,c_0_537]) ).
cnf(c_0_637,negated_conjecture,
( epred57_0
| epred17_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_341,c_0_538]) ).
cnf(c_0_638,negated_conjecture,
( epred57_0
| epred11_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_539,c_0_495]) ).
cnf(c_0_639,negated_conjecture,
( epred57_0
| ~ c0_1(a110)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_319]),c_0_471]) ).
cnf(c_0_640,negated_conjecture,
( epred52_0
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_417]),c_0_456]) ).
cnf(c_0_641,negated_conjecture,
( epred52_0
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_469]),c_0_542]),c_0_543]) ).
cnf(c_0_642,negated_conjecture,
( epred51_0
| epred8_0
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_544,c_0_545]) ).
cnf(c_0_643,negated_conjecture,
( epred47_0
| epred24_0
| hskp16
| hskp8 ),
inference(spm,[status(thm)],[c_0_546,c_0_531]) ).
cnf(c_0_644,negated_conjecture,
( epred46_0
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_548]),c_0_549]),c_0_550]) ).
cnf(c_0_645,negated_conjecture,
( epred44_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_551]),c_0_433]),c_0_434]) ).
cnf(c_0_646,negated_conjecture,
( epred43_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_500]),c_0_552]),c_0_553]) ).
cnf(c_0_647,negated_conjecture,
( epred41_0
| hskp22
| hskp4 ),
inference(spm,[status(thm)],[c_0_554,c_0_555]) ).
cnf(c_0_648,negated_conjecture,
( epred39_0
| epred9_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_556,c_0_537]) ).
cnf(c_0_649,negated_conjecture,
( epred28_0
| ~ epred60_0
| ~ epred59_0 ),
inference(spm,[status(thm)],[c_0_463,c_0_557]) ).
cnf(c_0_650,negated_conjecture,
( epred24_0
| ~ c1_1(a97)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_415]),c_0_330]) ).
cnf(c_0_651,negated_conjecture,
( epred16_0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_558]),c_0_559]),c_0_560]) ).
cnf(c_0_652,negated_conjecture,
( epred5_0
| hskp4
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_525]),c_0_562]),c_0_516]) ).
cnf(c_0_653,negated_conjecture,
( epred9_0
| ~ c1_1(a138)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_523]),c_0_563]) ).
cnf(c_0_654,negated_conjecture,
( epred63_0
| epred61_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_564]),c_0_565]) ).
cnf(c_0_655,negated_conjecture,
( epred3_0
| hskp1
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_511]),c_0_566]),c_0_519]) ).
cnf(c_0_656,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| hskp16
| hskp2
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_567,c_0_316])]) ).
cnf(c_0_657,negated_conjecture,
( epred63_0
| epred4_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_568]),c_0_354]) ).
cnf(c_0_658,negated_conjecture,
( c2_1(X1)
| hskp20
| hskp7
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_569,c_0_316])]) ).
cnf(c_0_659,negated_conjecture,
( epred56_0
| epred26_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_570]),c_0_525]) ).
cnf(c_0_660,negated_conjecture,
( epred56_0
| epred26_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_570]),c_0_355]) ).
cnf(c_0_661,negated_conjecture,
( epred42_0
| epred16_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_433]),c_0_434]) ).
cnf(c_0_662,negated_conjecture,
( epred51_0
| epred9_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_370]),c_0_372]) ).
cnf(c_0_663,negated_conjecture,
( ~ epred62_0
| ~ epred41_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_573,c_0_444]),c_0_421]),c_0_416]) ).
cnf(c_0_664,negated_conjecture,
( ~ epred61_0
| ~ epred60_0
| ~ epred58_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_574,c_0_361]),c_0_348]),c_0_410]) ).
cnf(c_0_665,negated_conjecture,
( ~ epred57_0
| ~ epred56_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_575,c_0_420]),c_0_314]),c_0_374]) ).
cnf(c_0_666,negated_conjecture,
( ~ epred52_0
| ~ epred51_0
| ~ epred50_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_576,c_0_445]),c_0_413]),c_0_412]) ).
cnf(c_0_667,negated_conjecture,
( ~ epred47_0
| ~ epred46_0
| ~ epred45_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_577,c_0_446]),c_0_477]),c_0_373]) ).
cnf(c_0_668,negated_conjecture,
( ~ epred44_0
| ~ epred43_0
| ~ epred42_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_578,c_0_422]),c_0_430]),c_0_478]) ).
cnf(c_0_669,negated_conjecture,
( ~ epred37_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_579,c_0_425]),c_0_350]) ).
cnf(c_0_670,negated_conjecture,
( ~ epred32_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_580,c_0_447]),c_0_421]) ).
cnf(c_0_671,negated_conjecture,
( ~ epred30_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_581,c_0_428]),c_0_374]) ).
cnf(c_0_672,negated_conjecture,
( ~ epred29_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_582,c_0_448]),c_0_381]) ).
cnf(c_0_673,negated_conjecture,
( ~ epred28_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_583,c_0_449]),c_0_351]) ).
cnf(c_0_674,negated_conjecture,
( ~ epred26_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_584,c_0_450]),c_0_419]) ).
cnf(c_0_675,negated_conjecture,
( ~ epred18_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[c_0_585,c_0_368]),c_0_411]),c_0_387]) ).
cnf(c_0_676,negated_conjecture,
( ~ epred11_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_586,c_0_385]),c_0_317]) ).
cnf(c_0_677,negated_conjecture,
( ~ epred9_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_587,c_0_414]),c_0_374]) ).
cnf(c_0_678,negated_conjecture,
( ~ epred5_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_588,c_0_485]),c_0_352]) ).
cnf(c_0_679,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_589,c_0_349]),c_0_352]) ).
cnf(c_0_680,negated_conjecture,
( ~ hskp11
| ~ c1_1(a112) ),
i_0_153 ).
cnf(c_0_681,negated_conjecture,
( ~ hskp7
| ~ c0_1(a106) ),
i_0_169 ).
cnf(c_0_682,negated_conjecture,
( c2_1(a106)
| ~ hskp7 ),
i_0_171 ).
cnf(c_0_683,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_590,c_0_591,c_0_592,c_0_593,c_0_594,c_0_595,c_0_596,c_0_597,c_0_598,c_0_599,c_0_600,c_0_601,c_0_602,c_0_603,c_0_604,c_0_605,c_0_606,c_0_607,c_0_608,c_0_609,c_0_610,c_0_611,c_0_612,c_0_613,c_0_614,c_0_615,c_0_616,c_0_617,c_0_618,c_0_619,c_0_620,c_0_621,c_0_622,c_0_623,c_0_624,c_0_625,c_0_626,c_0_627,c_0_628,c_0_629,c_0_630,c_0_529,c_0_455,c_0_631,c_0_457,c_0_632,c_0_633,c_0_532,c_0_634,c_0_452,c_0_635,c_0_636,c_0_637,c_0_341,c_0_638,c_0_639,c_0_640,c_0_641,c_0_642,c_0_643,c_0_644,c_0_645,c_0_646,c_0_647,c_0_554,c_0_648,c_0_649,c_0_557,c_0_650,c_0_499,c_0_651,c_0_356,c_0_652,c_0_653,c_0_654,c_0_460,c_0_655,c_0_404,c_0_328,c_0_656,c_0_657,c_0_658,c_0_514,c_0_659,c_0_660,c_0_488,c_0_517,c_0_661,c_0_662,c_0_470,c_0_369,c_0_534,c_0_663,c_0_664,c_0_463,c_0_665,c_0_666,c_0_667,c_0_668,c_0_669,c_0_670,c_0_671,c_0_672,c_0_673,c_0_674,c_0_675,c_0_676,c_0_677,c_0_678,c_0_679,c_0_407,c_0_563,c_0_321,c_0_320,c_0_392,c_0_516,c_0_562,c_0_553,c_0_552,c_0_680,c_0_439,c_0_471,c_0_345,c_0_344,c_0_681,c_0_432,c_0_434,c_0_336,c_0_519,c_0_566,c_0_459,c_0_426,c_0_329,c_0_331,c_0_323,c_0_372,c_0_370,c_0_682,c_0_433,c_0_511,c_0_355,c_0_525,c_0_325,c_0_371,c_0_337,c_0_427,c_0_330,c_0_531,c_0_347,c_0_312]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN501+1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n007.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 : Tue Jul 12 03:02:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 14.70/3.34 # ENIGMATIC: Solved by autoschedule:
% 14.70/3.34 # No SInE strategy applied
% 14.70/3.34 # Trying AutoSched0 for 150 seconds
% 14.70/3.34 # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 14.70/3.34 # and selection function SelectMaxLComplexAvoidPosPred.
% 14.70/3.34 #
% 14.70/3.34 # Preprocessing time : 0.022 s
% 14.70/3.34 # SatCheck found unsatisfiable ground set
% 14.70/3.34
% 14.70/3.34 # Proof found!
% 14.70/3.34 # SZS status Theorem
% 14.70/3.34 # SZS output start CNFRefutation
% See solution above
% 14.70/3.35 # Training examples: 0 positive, 0 negative
% 14.70/3.35
% 14.70/3.35 # -------------------------------------------------
% 14.70/3.35 # User time : 0.852 s
% 14.70/3.35 # System time : 0.030 s
% 14.70/3.35 # Total time : 0.882 s
% 14.70/3.35 # Maximum resident set size: 7120 pages
% 14.70/3.35
%------------------------------------------------------------------------------