TSTP Solution File: SYN451+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SYN451+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 04:53:28 EDT 2022
% Result : Theorem 18.28s 3.78s
% Output : CNFRefutation 18.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 149
% Syntax : Number of formulae : 615 ( 2 unt; 0 def)
% Number of atoms : 2431 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2785 ( 969 ~;1777 |; 0 &)
% ( 39 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 68 ( 67 usr; 64 prp; 0-1 aty)
% Number of functors : 23 ( 23 usr; 23 con; 0-0 aty)
% Number of variables : 238 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_144,negated_conjecture,
( ndr1_0
| ~ hskp8 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_144) ).
cnf(i_0_2,negated_conjecture,
( hskp0
| hskp8 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_2) ).
cnf(i_0_176,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_176) ).
cnf(i_0_10,negated_conjecture,
( hskp11
| hskp28
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_10) ).
cnf(i_0_54,negated_conjecture,
( hskp4
| hskp5
| c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_54) ).
cnf(i_0_157,negated_conjecture,
( ~ hskp4
| ~ c3_1(a734) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_157) ).
cnf(i_0_158,negated_conjecture,
( ~ hskp4
| ~ c0_1(a734) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_158) ).
cnf(i_0_159,negated_conjecture,
( c1_1(a734)
| ~ hskp4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_159) ).
cnf(i_0_147,negated_conjecture,
( c1_1(a741)
| ~ hskp7 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_147) ).
cnf(i_0_146,negated_conjecture,
( c3_1(a741)
| ~ hskp7 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_146) ).
cnf(i_0_145,negated_conjecture,
( ~ hskp7
| ~ c0_1(a741) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_145) ).
cnf(i_0_58,negated_conjecture,
( hskp0
| hskp1
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_58) ).
cnf(i_0_174,negated_conjecture,
( c3_1(a730)
| ~ hskp0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_174) ).
cnf(i_0_175,negated_conjecture,
( c0_1(a730)
| ~ hskp0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_175) ).
cnf(i_0_173,negated_conjecture,
( ~ hskp0
| ~ c1_1(a730) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_173) ).
cnf(i_0_141,negated_conjecture,
( ~ hskp8
| ~ c1_1(a744) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_141) ).
cnf(i_0_142,negated_conjecture,
( ~ hskp8
| ~ c0_1(a744) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_142) ).
cnf(i_0_143,negated_conjecture,
( c3_1(a744)
| ~ hskp8 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_143) ).
cnf(i_0_97,negated_conjecture,
( ~ hskp19
| ~ c3_1(a777) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_97) ).
cnf(i_0_99,negated_conjecture,
( c2_1(a777)
| ~ hskp19 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_99) ).
cnf(i_0_98,negated_conjecture,
( ~ hskp19
| ~ c0_1(a777) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_98) ).
cnf(i_0_171,negated_conjecture,
( c1_1(a731)
| ~ hskp1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_171) ).
cnf(i_0_169,negated_conjecture,
( ~ hskp1
| ~ c2_1(a731) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_169) ).
cnf(i_0_170,negated_conjecture,
( c3_1(a731)
| ~ hskp1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_170) ).
cnf(i_0_1,negated_conjecture,
( hskp1
| hskp4
| hskp7 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_1) ).
cnf(i_0_154,negated_conjecture,
( c3_1(a735)
| ~ hskp5 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_154) ).
cnf(i_0_155,negated_conjecture,
( c2_1(a735)
| ~ hskp5 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_155) ).
cnf(i_0_153,negated_conjecture,
( ~ hskp5
| ~ c0_1(a735) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_153) ).
cnf(i_0_62,negated_conjecture,
( c1_1(a784)
| ~ hskp28 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_62) ).
cnf(i_0_63,negated_conjecture,
( c0_1(a784)
| ~ hskp28 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_63) ).
cnf(i_0_61,negated_conjecture,
( c3_1(a784)
| ~ hskp28 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_61) ).
cnf(i_0_161,negated_conjecture,
( ~ hskp3
| ~ c1_1(a733) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_161) ).
cnf(i_0_163,negated_conjecture,
( c2_1(a733)
| ~ hskp3 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_163) ).
cnf(i_0_162,negated_conjecture,
( ~ hskp3
| ~ c0_1(a733) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_162) ).
cnf(i_0_3,negated_conjecture,
( hskp0
| hskp5
| hskp19 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_3) ).
cnf(i_0_130,negated_conjecture,
( ~ hskp11
| ~ c1_1(a749) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_130) ).
cnf(i_0_131,negated_conjecture,
( ~ hskp11
| ~ c0_1(a749) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_131) ).
cnf(i_0_129,negated_conjecture,
( ~ hskp11
| ~ c3_1(a749) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_129) ).
cnf(i_0_14,negated_conjecture,
( hskp16
| hskp28
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_14) ).
cnf(i_0_9,negated_conjecture,
( hskp21
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_9) ).
cnf(i_0_103,negated_conjecture,
( c1_1(a775)
| ~ hskp18 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_103) ).
cnf(i_0_101,negated_conjecture,
( ~ hskp18
| ~ c3_1(a775) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_101) ).
cnf(i_0_102,negated_conjecture,
( ~ hskp18
| ~ c2_1(a775) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_102) ).
cnf(i_0_73,negated_conjecture,
( c3_1(a729)
| ~ hskp25 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_73) ).
cnf(i_0_75,negated_conjecture,
( c0_1(a729)
| ~ hskp25 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_75) ).
cnf(i_0_74,negated_conjecture,
( c2_1(a729)
| ~ hskp25 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_74) ).
cnf(i_0_50,negated_conjecture,
( hskp7
| c0_1(X1)
| c0_1(X2)
| c3_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_50) ).
cnf(i_0_11,negated_conjecture,
( hskp11
| hskp27
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_11) ).
cnf(i_0_17,negated_conjecture,
( hskp5
| hskp20
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_17) ).
cnf(i_0_114,negated_conjecture,
( c1_1(a763)
| ~ hskp15 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_114) ).
cnf(i_0_115,negated_conjecture,
( c0_1(a763)
| ~ hskp15 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_115) ).
cnf(i_0_113,negated_conjecture,
( ~ hskp15
| ~ c2_1(a763) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_113) ).
cnf(i_0_56,negated_conjecture,
( hskp3
| c0_1(X1)
| c3_1(X2)
| c3_1(X1)
| c1_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_56) ).
cnf(i_0_90,negated_conjecture,
( c3_1(a793)
| ~ hskp21 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_90) ).
cnf(i_0_91,negated_conjecture,
( c0_1(a793)
| ~ hskp21 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_91) ).
cnf(i_0_89,negated_conjecture,
( ~ hskp21
| ~ c2_1(a793) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_89) ).
cnf(i_0_60,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_60) ).
cnf(i_0_66,negated_conjecture,
( c1_1(a750)
| ~ hskp27 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_66) ).
cnf(i_0_67,negated_conjecture,
( c0_1(a750)
| ~ hskp27 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_67) ).
cnf(i_0_95,negated_conjecture,
( c2_1(a779)
| ~ hskp20 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_95) ).
cnf(i_0_93,negated_conjecture,
( ~ hskp20
| ~ c3_1(a779) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_93) ).
cnf(i_0_94,negated_conjecture,
( ~ hskp20
| ~ c1_1(a779) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_94) ).
cnf(i_0_123,negated_conjecture,
( c2_1(a759)
| ~ hskp13 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_123) ).
cnf(i_0_122,negated_conjecture,
( c3_1(a759)
| ~ hskp13 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_122) ).
cnf(i_0_121,negated_conjecture,
( ~ hskp13
| ~ c1_1(a759) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_121) ).
cnf(i_0_134,negated_conjecture,
( ~ hskp10
| ~ c1_1(a748) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_134) ).
cnf(i_0_135,negated_conjecture,
( ~ hskp10
| ~ c0_1(a748) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_135) ).
cnf(i_0_133,negated_conjecture,
( ~ hskp10
| ~ c2_1(a748) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_133) ).
cnf(i_0_165,negated_conjecture,
( ~ hskp2
| ~ c3_1(a732) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_165) ).
cnf(i_0_167,negated_conjecture,
( ~ hskp2
| ~ c0_1(a732) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_167) ).
cnf(i_0_166,negated_conjecture,
( ~ hskp2
| ~ c2_1(a732) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_166) ).
cnf(i_0_77,negated_conjecture,
( ~ hskp24
| ~ c3_1(a802) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_77) ).
cnf(i_0_79,negated_conjecture,
( c0_1(a802)
| ~ hskp24 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_79) ).
cnf(i_0_78,negated_conjecture,
( ~ hskp24
| ~ c2_1(a802) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_78) ).
cnf(i_0_53,negated_conjecture,
( hskp0
| c0_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_53) ).
cnf(i_0_4,negated_conjecture,
( hskp16
| hskp18
| hskp19 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_4) ).
cnf(i_0_12,negated_conjecture,
( hskp11
| hskp18
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_12) ).
cnf(i_0_44,negated_conjecture,
( hskp5
| c0_1(X1)
| c0_1(X2)
| c3_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_44) ).
cnf(i_0_51,negated_conjecture,
( hskp1
| hskp2
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_51) ).
cnf(i_0_15,negated_conjecture,
( hskp3
| hskp16
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_15) ).
cnf(i_0_82,negated_conjecture,
( c1_1(a798)
| ~ hskp23 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_82) ).
cnf(i_0_83,negated_conjecture,
( c0_1(a798)
| ~ hskp23 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_83) ).
cnf(i_0_81,negated_conjecture,
( ~ hskp23
| ~ c3_1(a798) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_81) ).
cnf(i_0_5,negated_conjecture,
( hskp13
| hskp23
| hskp24 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_5) ).
cnf(i_0_110,negated_conjecture,
( c2_1(a764)
| ~ hskp16 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_110) ).
cnf(i_0_111,negated_conjecture,
( c0_1(a764)
| ~ hskp16 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_111) ).
cnf(i_0_18,negated_conjecture,
( hskp19
| hskp27
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_18) ).
cnf(i_0_59,negated_conjecture,
( hskp25
| c0_1(X1)
| c1_1(X2)
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_59) ).
cnf(i_0_55,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_55) ).
cnf(i_0_39,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X3)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_39) ).
cnf(i_0_71,negated_conjecture,
( c1_1(a737)
| ~ hskp26 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_71) ).
cnf(i_0_69,negated_conjecture,
( c3_1(a737)
| ~ hskp26 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_69) ).
cnf(i_0_65,negated_conjecture,
( c2_1(a750)
| ~ hskp27 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_65) ).
cnf(i_0_26,negated_conjecture,
( c0_1(X1)
| c1_1(X2)
| c2_1(X3)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_26) ).
cnf(i_0_20,negated_conjecture,
( c3_1(X1)
| c3_1(X2)
| c1_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_20) ).
cnf(i_0_40,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X3)
| c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X3)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X3)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_40) ).
cnf(i_0_13,negated_conjecture,
( hskp1
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_13) ).
cnf(i_0_24,negated_conjecture,
( hskp26
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_24) ).
cnf(i_0_30,negated_conjecture,
( hskp15
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_30) ).
cnf(i_0_33,negated_conjecture,
( hskp13
| c0_1(X1)
| c3_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_33) ).
cnf(i_0_23,negated_conjecture,
( hskp11
| c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_23) ).
cnf(i_0_42,negated_conjecture,
( hskp11
| c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_42) ).
cnf(i_0_43,negated_conjecture,
( hskp10
| c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_43) ).
cnf(i_0_21,negated_conjecture,
( hskp5
| c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_21) ).
cnf(i_0_49,negated_conjecture,
( hskp5
| c0_1(X1)
| c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_49) ).
cnf(i_0_47,negated_conjecture,
( hskp4
| c0_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_47) ).
cnf(i_0_27,negated_conjecture,
( hskp2
| c0_1(X1)
| c1_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_27) ).
cnf(i_0_57,negated_conjecture,
( hskp2
| c0_1(X1)
| c0_1(X2)
| c3_1(X2)
| c1_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_57) ).
cnf(i_0_46,negated_conjecture,
( hskp8
| c0_1(X1)
| c0_1(X2)
| c3_1(X1)
| c3_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_46) ).
cnf(i_0_109,negated_conjecture,
( ~ hskp16
| ~ c3_1(a764) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zykc198c/input.p',i_0_109) ).
cnf(c_0_287,negated_conjecture,
( ndr1_0
| ~ hskp8 ),
i_0_144 ).
cnf(c_0_288,negated_conjecture,
( hskp0
| hskp8 ),
i_0_2 ).
cnf(c_0_289,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
i_0_176 ).
fof(c_0_290,plain,
( ~ epred2_0
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_291,plain,
( ~ epred23_0
<=> ! [X1] :
( hskp11
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_292,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_289]) ).
fof(c_0_293,plain,
( ~ epred15_0
<=> ! [X1] :
( c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_294,plain,
( ~ epred6_0
<=> ! [X1] :
( hskp0
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_295,negated_conjecture,
( hskp11
| hskp28
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
i_0_10 ).
fof(c_0_296,plain,
( ~ epred25_0
<=> ! [X1] :
( hskp11
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_297,plain,
( ~ epred7_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_298,plain,
( ~ epred5_0
<=> ! [X2] :
( hskp3
| c3_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_299,plain,
( ~ epred9_0
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_300,negated_conjecture,
( hskp4
| hskp5
| c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0 ),
i_0_54 ).
fof(c_0_301,plain,
( ~ epred38_0
<=> ! [X3] :
( c2_1(X3)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_302,negated_conjecture,
( ~ hskp4
| ~ c3_1(a734) ),
i_0_157 ).
cnf(c_0_303,negated_conjecture,
( epred2_0
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_290]) ).
cnf(c_0_304,negated_conjecture,
( ~ hskp4
| ~ c0_1(a734) ),
i_0_158 ).
cnf(c_0_305,negated_conjecture,
( epred23_0
| c2_1(X1)
| c0_1(X1)
| hskp11
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_291]),c_0_292])]) ).
cnf(c_0_306,negated_conjecture,
( c1_1(a734)
| ~ hskp4 ),
i_0_159 ).
cnf(c_0_307,negated_conjecture,
( epred15_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_293]) ).
cnf(c_0_308,negated_conjecture,
( c1_1(a741)
| ~ hskp7 ),
i_0_147 ).
cnf(c_0_309,negated_conjecture,
( c3_1(a741)
| ~ hskp7 ),
i_0_146 ).
cnf(c_0_310,negated_conjecture,
( ~ hskp7
| ~ c0_1(a741) ),
i_0_145 ).
fof(c_0_311,plain,
( ~ epred22_0
<=> ! [X1] :
( c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_312,plain,
( ~ epred8_0
<=> ! [X2] :
( hskp5
| c0_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_313,negated_conjecture,
( hskp0
| hskp1
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0 ),
i_0_58 ).
fof(c_0_314,plain,
( ~ epred30_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_315,negated_conjecture,
( epred6_0
| c2_1(X1)
| c0_1(X1)
| hskp0
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_294]),c_0_292])]) ).
cnf(c_0_316,negated_conjecture,
( hskp28
| hskp11
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_295,c_0_292])]) ).
cnf(c_0_317,negated_conjecture,
( c3_1(a730)
| ~ hskp0 ),
i_0_174 ).
cnf(c_0_318,negated_conjecture,
( c0_1(a730)
| ~ hskp0 ),
i_0_175 ).
cnf(c_0_319,negated_conjecture,
( epred25_0
| c2_1(X1)
| c1_1(X1)
| hskp11
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_296]),c_0_292])]) ).
cnf(c_0_320,negated_conjecture,
( ~ hskp0
| ~ c1_1(a730) ),
i_0_173 ).
cnf(c_0_321,negated_conjecture,
( ~ hskp8
| ~ c1_1(a744) ),
i_0_141 ).
cnf(c_0_322,negated_conjecture,
( epred7_0
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_297]) ).
cnf(c_0_323,negated_conjecture,
( ~ hskp8
| ~ c0_1(a744) ),
i_0_142 ).
cnf(c_0_324,negated_conjecture,
( c3_1(a744)
| ~ hskp8 ),
i_0_143 ).
cnf(c_0_325,negated_conjecture,
( epred5_0
| c2_1(X1)
| c3_1(X1)
| hskp3
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_298]),c_0_292])]) ).
fof(c_0_326,plain,
( ~ epred12_0
<=> ! [X1] :
( hskp25
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_327,plain,
( ~ epred13_0
<=> ! [X2] :
( c1_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_328,negated_conjecture,
( ~ hskp19
| ~ c3_1(a777) ),
i_0_97 ).
cnf(c_0_329,negated_conjecture,
( c2_1(a777)
| ~ hskp19 ),
i_0_99 ).
cnf(c_0_330,negated_conjecture,
( ~ hskp19
| ~ c0_1(a777) ),
i_0_98 ).
cnf(c_0_331,negated_conjecture,
( epred9_0
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_299]) ).
cnf(c_0_332,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X1)
| hskp5
| hskp4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_292])]) ).
fof(c_0_333,plain,
( ~ epred10_0
<=> ! [X2] :
( hskp7
| c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_334,negated_conjecture,
( epred38_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_301]),c_0_292])]) ).
cnf(c_0_335,negated_conjecture,
( c1_1(a731)
| ~ hskp1 ),
i_0_171 ).
cnf(c_0_336,negated_conjecture,
( ~ hskp1
| ~ c2_1(a731) ),
i_0_169 ).
cnf(c_0_337,negated_conjecture,
( c3_1(a731)
| ~ hskp1 ),
i_0_170 ).
cnf(c_0_338,negated_conjecture,
( epred2_0
| ~ c2_1(a734)
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_304]) ).
cnf(c_0_339,negated_conjecture,
( epred23_0
| c2_1(a734)
| hskp11
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_304]) ).
cnf(c_0_340,negated_conjecture,
( epred15_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_309]),c_0_310]) ).
cnf(c_0_341,negated_conjecture,
( hskp1
| hskp4
| hskp7 ),
i_0_1 ).
cnf(c_0_342,negated_conjecture,
( epred22_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_311]) ).
cnf(c_0_343,negated_conjecture,
( epred8_0
| c2_1(X1)
| c0_1(X1)
| hskp5
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_312]),c_0_292])]) ).
cnf(c_0_344,negated_conjecture,
( c3_1(a735)
| ~ hskp5 ),
i_0_154 ).
cnf(c_0_345,negated_conjecture,
( c2_1(a735)
| ~ hskp5 ),
i_0_155 ).
cnf(c_0_346,negated_conjecture,
( ~ hskp5
| ~ c0_1(a735) ),
i_0_153 ).
fof(c_0_347,plain,
( ~ epred24_0
<=> ! [X2] :
( c2_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_348,negated_conjecture,
( c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| hskp1
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_292])]) ).
cnf(c_0_349,negated_conjecture,
( epred30_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_314]) ).
cnf(c_0_350,negated_conjecture,
( epred6_0
| c2_1(a734)
| hskp0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_306]),c_0_304]) ).
fof(c_0_351,plain,
( ~ epred4_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_352,negated_conjecture,
( c1_1(a784)
| ~ hskp28 ),
i_0_62 ).
cnf(c_0_353,negated_conjecture,
( c0_1(a784)
| ~ hskp28 ),
i_0_63 ).
cnf(c_0_354,negated_conjecture,
( c3_1(a784)
| ~ hskp28 ),
i_0_61 ).
cnf(c_0_355,negated_conjecture,
( hskp28
| hskp11
| ~ c2_1(a730)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_318]) ).
cnf(c_0_356,negated_conjecture,
( epred25_0
| c2_1(a730)
| hskp11
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_317]),c_0_320]) ).
cnf(c_0_357,negated_conjecture,
( epred7_0
| ~ c2_1(a744)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_323]) ).
cnf(c_0_358,negated_conjecture,
( epred25_0
| c2_1(a744)
| hskp11
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_324]),c_0_321]) ).
cnf(c_0_359,negated_conjecture,
( ~ hskp3
| ~ c1_1(a733) ),
i_0_161 ).
cnf(c_0_360,negated_conjecture,
( c2_1(a733)
| ~ hskp3 ),
i_0_163 ).
cnf(c_0_361,negated_conjecture,
( ~ hskp3
| ~ c0_1(a733) ),
i_0_162 ).
cnf(c_0_362,negated_conjecture,
( epred5_0
| c2_1(a734)
| hskp3
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_306]),c_0_302]) ).
fof(c_0_363,plain,
( ~ epred34_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_364,negated_conjecture,
( epred12_0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| hskp25 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_326]),c_0_292])]) ).
cnf(c_0_365,negated_conjecture,
( epred13_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_327]) ).
cnf(c_0_366,negated_conjecture,
( epred2_0
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_303]),c_0_329]),c_0_330]) ).
cnf(c_0_367,negated_conjecture,
( hskp0
| hskp5
| hskp19 ),
i_0_3 ).
cnf(c_0_368,negated_conjecture,
( epred9_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_306]),c_0_304]),c_0_302]) ).
cnf(c_0_369,negated_conjecture,
( epred9_0
| c3_1(X1)
| c0_1(X1)
| hskp5
| hskp4 ),
inference(spm,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_370,negated_conjecture,
( epred10_0
| c1_1(X1)
| c0_1(X1)
| hskp7
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_333]),c_0_292])]) ).
cnf(c_0_371,negated_conjecture,
( epred38_0
| ~ c0_1(a731)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_336]) ).
cnf(c_0_372,negated_conjecture,
( epred15_0
| c0_1(a731)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_335]),c_0_337]) ).
cnf(c_0_373,negated_conjecture,
( epred23_0
| epred2_0
| hskp11
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_338,c_0_339]) ).
cnf(c_0_374,negated_conjecture,
( epred15_0
| hskp4
| hskp1 ),
inference(spm,[status(thm)],[c_0_340,c_0_341]) ).
fof(c_0_375,plain,
( ~ epred46_0
<=> ! [X2] :
( c1_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_376,negated_conjecture,
( epred22_0
| ~ c2_1(a741)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_309]),c_0_310]) ).
cnf(c_0_377,negated_conjecture,
( epred8_0
| c2_1(a741)
| hskp5
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_308]),c_0_310]) ).
cnf(c_0_378,negated_conjecture,
( epred22_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_344]),c_0_345]),c_0_346]) ).
cnf(c_0_379,negated_conjecture,
( epred24_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_347]) ).
fof(c_0_380,plain,
( ~ epred29_0
<=> ! [X1] :
( hskp15
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_381,negated_conjecture,
( epred6_0
| c2_1(X1)
| c0_1(X1)
| hskp1
| hskp0 ),
inference(spm,[status(thm)],[c_0_315,c_0_348]) ).
cnf(c_0_382,negated_conjecture,
( epred30_0
| ~ c0_1(a731)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_335]),c_0_337]) ).
cnf(c_0_383,negated_conjecture,
( epred6_0
| epred2_0
| hskp0
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_338,c_0_350]) ).
cnf(c_0_384,negated_conjecture,
( ~ hskp11
| ~ c1_1(a749) ),
i_0_130 ).
cnf(c_0_385,negated_conjecture,
( epred4_0
| c1_1(X1)
| c3_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_351]) ).
cnf(c_0_386,negated_conjecture,
( ~ hskp11
| ~ c0_1(a749) ),
i_0_131 ).
cnf(c_0_387,negated_conjecture,
( ~ hskp11
| ~ c3_1(a749) ),
i_0_129 ).
cnf(c_0_388,negated_conjecture,
( epred30_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_352]),c_0_353]),c_0_354]) ).
cnf(c_0_389,negated_conjecture,
( epred25_0
| hskp28
| hskp11
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_355,c_0_356]) ).
cnf(c_0_390,negated_conjecture,
( epred25_0
| epred7_0
| hskp11
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_357,c_0_358]) ).
cnf(c_0_391,negated_conjecture,
( epred7_0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_322]),c_0_360]),c_0_361]) ).
cnf(c_0_392,negated_conjecture,
( epred5_0
| epred2_0
| hskp3
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_338,c_0_362]) ).
cnf(c_0_393,negated_conjecture,
( epred34_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_363]) ).
cnf(c_0_394,negated_conjecture,
( hskp16
| hskp28
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ),
i_0_14 ).
cnf(c_0_395,negated_conjecture,
( hskp21
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
i_0_9 ).
cnf(c_0_396,negated_conjecture,
( epred22_0
| ~ c2_1(a744)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_324]),c_0_323]) ).
cnf(c_0_397,negated_conjecture,
( epred12_0
| c2_1(a744)
| hskp25
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_364]),c_0_323]) ).
cnf(c_0_398,negated_conjecture,
( epred22_0
| epred2_0
| c0_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_342,c_0_303]) ).
cnf(c_0_399,negated_conjecture,
( epred13_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_365]),c_0_318]),c_0_317]) ).
cnf(c_0_400,negated_conjecture,
( epred2_0
| hskp5
| hskp0 ),
inference(spm,[status(thm)],[c_0_366,c_0_367]) ).
cnf(c_0_401,negated_conjecture,
( epred9_0
| c3_1(X1)
| c0_1(X1)
| hskp5 ),
inference(spm,[status(thm)],[c_0_368,c_0_369]) ).
cnf(c_0_402,negated_conjecture,
( epred10_0
| hskp7
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_324]),c_0_323]),c_0_321]) ).
cnf(c_0_403,negated_conjecture,
( epred38_0
| epred15_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_371,c_0_372]) ).
cnf(c_0_404,negated_conjecture,
( epred23_0
| epred15_0
| epred2_0
| hskp11
| hskp1 ),
inference(spm,[status(thm)],[c_0_373,c_0_374]) ).
cnf(c_0_405,negated_conjecture,
( epred46_0
| c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_375]) ).
cnf(c_0_406,negated_conjecture,
( epred8_0
| c2_1(a734)
| hskp5
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_306]),c_0_304]) ).
cnf(c_0_407,negated_conjecture,
( epred22_0
| epred8_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_378]) ).
cnf(c_0_408,negated_conjecture,
( epred24_0
| c2_1(a741)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_308]),c_0_309]) ).
cnf(c_0_409,negated_conjecture,
( epred29_0
| c3_1(X1)
| c0_1(X1)
| hskp15
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_380]),c_0_292])]) ).
cnf(c_0_410,negated_conjecture,
( epred6_0
| c2_1(a731)
| c0_1(a731)
| hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_335]),c_0_381]) ).
cnf(c_0_411,negated_conjecture,
( epred30_0
| epred15_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_382,c_0_372]) ).
cnf(c_0_412,negated_conjecture,
( epred15_0
| epred6_0
| epred2_0
| hskp1
| hskp0 ),
inference(spm,[status(thm)],[c_0_383,c_0_374]) ).
cnf(c_0_413,negated_conjecture,
( epred4_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_385]),c_0_386]),c_0_387]) ).
cnf(c_0_414,negated_conjecture,
( epred30_0
| epred25_0
| hskp11
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_388,c_0_389]) ).
cnf(c_0_415,negated_conjecture,
( epred25_0
| epred7_0
| hskp11
| hskp0 ),
inference(spm,[status(thm)],[c_0_390,c_0_288]) ).
cnf(c_0_416,negated_conjecture,
( epred7_0
| epred5_0
| epred2_0
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_391,c_0_392]) ).
cnf(c_0_417,negated_conjecture,
( epred34_0
| ~ c2_1(a784)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_352]),c_0_353]) ).
cnf(c_0_418,negated_conjecture,
( epred38_0
| c2_1(a784)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_352]),c_0_353]) ).
cnf(c_0_419,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp28
| hskp16
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_394,c_0_292])]) ).
cnf(c_0_420,negated_conjecture,
( c1_1(a775)
| ~ hskp18 ),
i_0_103 ).
cnf(c_0_421,negated_conjecture,
( ~ hskp18
| ~ c3_1(a775) ),
i_0_101 ).
cnf(c_0_422,negated_conjecture,
( ~ hskp18
| ~ c2_1(a775) ),
i_0_102 ).
fof(c_0_423,plain,
( ~ epred45_0
<=> ! [X3] :
( c2_1(X3)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c3_1(X3) ) ),
introduced(definition) ).
fof(c_0_424,plain,
( ~ epred21_0
<=> ! [X2] :
( hskp10
| c0_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_425,negated_conjecture,
( hskp21
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_395,c_0_292])]) ).
cnf(c_0_426,negated_conjecture,
( c3_1(a729)
| ~ hskp25 ),
i_0_73 ).
cnf(c_0_427,negated_conjecture,
( c0_1(a729)
| ~ hskp25 ),
i_0_75 ).
cnf(c_0_428,negated_conjecture,
( c2_1(a729)
| ~ hskp25 ),
i_0_74 ).
cnf(c_0_429,negated_conjecture,
( epred22_0
| epred12_0
| hskp25
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_396,c_0_397]) ).
cnf(c_0_430,negated_conjecture,
( hskp7
| c0_1(X1)
| c0_1(X2)
| c3_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X1) ),
i_0_50 ).
cnf(c_0_431,negated_conjecture,
( epred22_0
| epred2_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_345]),c_0_346]) ).
cnf(c_0_432,negated_conjecture,
( epred13_0
| epred2_0
| hskp5 ),
inference(spm,[status(thm)],[c_0_399,c_0_400]) ).
cnf(c_0_433,negated_conjecture,
( epred9_0
| hskp5
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_401]),c_0_330]) ).
cnf(c_0_434,negated_conjecture,
( epred10_0
| hskp7
| hskp0 ),
inference(spm,[status(thm)],[c_0_402,c_0_288]) ).
cnf(c_0_435,negated_conjecture,
( epred38_0
| epred23_0
| epred15_0
| epred2_0
| hskp11 ),
inference(spm,[status(thm)],[c_0_403,c_0_404]) ).
cnf(c_0_436,negated_conjecture,
( epred46_0
| ~ c2_1(a744)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_405]),c_0_324]) ).
cnf(c_0_437,negated_conjecture,
( epred8_0
| epred2_0
| hskp5
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_338,c_0_406]) ).
cnf(c_0_438,negated_conjecture,
( epred22_0
| epred8_0
| hskp4
| hskp1 ),
inference(spm,[status(thm)],[c_0_407,c_0_341]) ).
cnf(c_0_439,negated_conjecture,
( epred24_0
| epred22_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_376,c_0_408]) ).
fof(c_0_440,plain,
( ~ epred3_0
<=> ! [X1] :
( hskp2
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_441,plain,
( ~ epred35_0
<=> ! [X1] :
( hskp1
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_442,negated_conjecture,
( hskp11
| hskp27
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ),
i_0_11 ).
fof(c_0_443,plain,
( ~ epred20_0
<=> ! [X1] :
( hskp5
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_444,negated_conjecture,
( hskp5
| hskp20
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1) ),
i_0_17 ).
fof(c_0_445,plain,
( ~ epred26_0
<=> ! [X2] :
( hskp13
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_446,plain,
( ~ epred1_0
<=> ! [X2] :
( hskp8
| c0_1(X2)
| c3_1(X2)
| c2_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_447,negated_conjecture,
( c1_1(a763)
| ~ hskp15 ),
i_0_114 ).
cnf(c_0_448,negated_conjecture,
( c0_1(a763)
| ~ hskp15 ),
i_0_115 ).
cnf(c_0_449,negated_conjecture,
( ~ hskp15
| ~ c2_1(a763) ),
i_0_113 ).
cnf(c_0_450,negated_conjecture,
( epred46_0
| ~ c3_1(a733)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_405]),c_0_360]) ).
cnf(c_0_451,negated_conjecture,
( epred29_0
| c3_1(a733)
| hskp15
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_360]),c_0_361]) ).
fof(c_0_452,plain,
( ~ epred19_0
<=> ! [X1] :
( c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_453,negated_conjecture,
( epred6_0
| c0_1(a731)
| hskp0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_336,c_0_410]) ).
fof(c_0_454,plain,
( ~ epred43_0
<=> ! [X1] :
( c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_455,negated_conjecture,
( epred30_0
| epred15_0
| epred6_0
| epred2_0
| hskp0 ),
inference(spm,[status(thm)],[c_0_411,c_0_412]) ).
cnf(c_0_456,negated_conjecture,
( hskp3
| c0_1(X1)
| c3_1(X2)
| c3_1(X1)
| c1_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ),
i_0_56 ).
cnf(c_0_457,negated_conjecture,
( epred30_0
| epred25_0
| epred4_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_413,c_0_414]) ).
cnf(c_0_458,negated_conjecture,
( epred25_0
| epred7_0
| epred4_0
| hskp0 ),
inference(spm,[status(thm)],[c_0_413,c_0_415]) ).
cnf(c_0_459,negated_conjecture,
( epred15_0
| epred7_0
| epred5_0
| epred2_0
| hskp1 ),
inference(spm,[status(thm)],[c_0_416,c_0_374]) ).
fof(c_0_460,plain,
( ~ epred17_0
<=> ! [X2] :
( c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_461,negated_conjecture,
( epred38_0
| epred34_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_417,c_0_418]) ).
cnf(c_0_462,negated_conjecture,
( hskp28
| hskp16
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_420]),c_0_421]),c_0_422]) ).
fof(c_0_463,plain,
( ~ epred44_0
<=> ! [X3] :
( ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_464,negated_conjecture,
( epred45_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_423]),c_0_292])]) ).
cnf(c_0_465,negated_conjecture,
( epred21_0
| c2_1(X1)
| c0_1(X1)
| hskp10
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_424]),c_0_292])]) ).
cnf(c_0_466,negated_conjecture,
( c3_1(a793)
| ~ hskp21 ),
i_0_90 ).
cnf(c_0_467,negated_conjecture,
( c0_1(a793)
| ~ hskp21 ),
i_0_91 ).
cnf(c_0_468,negated_conjecture,
( ~ hskp21
| ~ c2_1(a793) ),
i_0_89 ).
cnf(c_0_469,negated_conjecture,
( hskp21
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_426]),c_0_427]),c_0_428]) ).
cnf(c_0_470,negated_conjecture,
( epred22_0
| epred12_0
| hskp25
| hskp0 ),
inference(spm,[status(thm)],[c_0_429,c_0_288]) ).
cnf(c_0_471,negated_conjecture,
( ~ epred10_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_430,c_0_333]),c_0_290]) ).
cnf(c_0_472,negated_conjecture,
( epred22_0
| epred13_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_431,c_0_432]) ).
cnf(c_0_473,negated_conjecture,
( epred9_0
| hskp5
| hskp0 ),
inference(spm,[status(thm)],[c_0_433,c_0_367]) ).
cnf(c_0_474,negated_conjecture,
( epred38_0
| epred15_0
| epred6_0
| epred2_0
| hskp0 ),
inference(spm,[status(thm)],[c_0_403,c_0_412]) ).
cnf(c_0_475,negated_conjecture,
( epred15_0
| epred10_0
| hskp0 ),
inference(spm,[status(thm)],[c_0_340,c_0_434]) ).
cnf(c_0_476,negated_conjecture,
( epred38_0
| epred23_0
| epred15_0
| epred4_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_413,c_0_435]) ).
cnf(c_0_477,negated_conjecture,
( epred46_0
| epred25_0
| hskp11
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_436,c_0_358]) ).
fof(c_0_478,plain,
( ~ epred37_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_479,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c2_1(X1) ),
i_0_60 ).
cnf(c_0_480,negated_conjecture,
( epred24_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_335]),c_0_337]),c_0_336]) ).
cnf(c_0_481,negated_conjecture,
( epred22_0
| epred8_0
| epred2_0
| hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_438]),c_0_378]) ).
cnf(c_0_482,negated_conjecture,
( epred24_0
| epred22_0
| hskp4
| hskp1 ),
inference(spm,[status(thm)],[c_0_439,c_0_341]) ).
cnf(c_0_483,negated_conjecture,
( epred3_0
| c2_1(X1)
| c0_1(X1)
| hskp2
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_440]),c_0_292])]) ).
fof(c_0_484,plain,
( ~ epred28_0
<=> ! [X1] :
( c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_485,negated_conjecture,
( epred35_0
| c3_1(X1)
| hskp1
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_441]),c_0_292])]) ).
cnf(c_0_486,negated_conjecture,
( c1_1(a750)
| ~ hskp27 ),
i_0_66 ).
cnf(c_0_487,negated_conjecture,
( c0_1(a750)
| ~ hskp27 ),
i_0_67 ).
cnf(c_0_488,negated_conjecture,
( c3_1(X1)
| hskp27
| hskp11
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_292])]) ).
cnf(c_0_489,negated_conjecture,
( epred20_0
| c1_1(X1)
| c3_1(X1)
| hskp5
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_443]),c_0_292])]) ).
cnf(c_0_490,negated_conjecture,
( c2_1(a779)
| ~ hskp20 ),
i_0_95 ).
cnf(c_0_491,negated_conjecture,
( ~ hskp20
| ~ c3_1(a779) ),
i_0_93 ).
cnf(c_0_492,negated_conjecture,
( ~ hskp20
| ~ c1_1(a779) ),
i_0_94 ).
cnf(c_0_493,negated_conjecture,
( c1_1(X1)
| hskp20
| hskp5
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_444,c_0_292])]) ).
cnf(c_0_494,negated_conjecture,
( c2_1(a759)
| ~ hskp13 ),
i_0_123 ).
cnf(c_0_495,negated_conjecture,
( c3_1(a759)
| ~ hskp13 ),
i_0_122 ).
cnf(c_0_496,negated_conjecture,
( ~ hskp13
| ~ c1_1(a759) ),
i_0_121 ).
cnf(c_0_497,negated_conjecture,
( epred26_0
| c2_1(X1)
| hskp13
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_445]),c_0_292])]) ).
cnf(c_0_498,negated_conjecture,
( epred1_0
| c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| hskp8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_446]),c_0_292])]) ).
cnf(c_0_499,negated_conjecture,
( epred38_0
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_447]),c_0_448]),c_0_449]) ).
cnf(c_0_500,negated_conjecture,
( epred46_0
| epred29_0
| hskp15
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_450,c_0_451]) ).
fof(c_0_501,plain,
( ~ epred31_0
<=> ! [X1] :
( hskp26
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_502,plain,
( ~ epred41_0
<=> ! [X1] :
( c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_503,negated_conjecture,
( ~ hskp10
| ~ c1_1(a748) ),
i_0_134 ).
cnf(c_0_504,negated_conjecture,
( ~ hskp10
| ~ c0_1(a748) ),
i_0_135 ).
cnf(c_0_505,negated_conjecture,
( ~ hskp10
| ~ c2_1(a748) ),
i_0_133 ).
fof(c_0_506,plain,
( ~ epred14_0
<=> ! [X2] :
( hskp2
| c1_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_507,negated_conjecture,
( epred19_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_452]) ).
cnf(c_0_508,negated_conjecture,
( ~ hskp2
| ~ c3_1(a732) ),
i_0_165 ).
cnf(c_0_509,negated_conjecture,
( ~ hskp2
| ~ c0_1(a732) ),
i_0_167 ).
cnf(c_0_510,negated_conjecture,
( ~ hskp2
| ~ c2_1(a732) ),
i_0_166 ).
cnf(c_0_511,negated_conjecture,
( epred30_0
| epred6_0
| hskp0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_382,c_0_453]) ).
cnf(c_0_512,negated_conjecture,
( ~ hskp24
| ~ c3_1(a802) ),
i_0_77 ).
cnf(c_0_513,negated_conjecture,
( epred43_0
| c2_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_454]),c_0_292])]) ).
cnf(c_0_514,negated_conjecture,
( c0_1(a802)
| ~ hskp24 ),
i_0_79 ).
cnf(c_0_515,negated_conjecture,
( ~ hskp24
| ~ c2_1(a802) ),
i_0_78 ).
cnf(c_0_516,negated_conjecture,
( hskp0
| c0_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2) ),
i_0_53 ).
cnf(c_0_517,negated_conjecture,
( epred30_0
| epred15_0
| epred13_0
| epred6_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_399,c_0_455]) ).
cnf(c_0_518,negated_conjecture,
( ~ epred5_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_456,c_0_298]),c_0_351]) ).
cnf(c_0_519,negated_conjecture,
( epred30_0
| epred25_0
| epred7_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_457,c_0_458]) ).
cnf(c_0_520,negated_conjecture,
( epred30_0
| epred15_0
| epred7_0
| epred5_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_411,c_0_459]) ).
cnf(c_0_521,negated_conjecture,
( epred17_0
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_460]) ).
cnf(c_0_522,negated_conjecture,
( epred29_0
| hskp15
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_329]),c_0_330]),c_0_328]) ).
cnf(c_0_523,negated_conjecture,
( epred38_0
| epred34_0
| hskp16
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_461,c_0_462]) ).
cnf(c_0_524,negated_conjecture,
( hskp16
| hskp18
| hskp19 ),
i_0_4 ).
cnf(c_0_525,negated_conjecture,
( hskp11
| hskp18
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ),
i_0_12 ).
cnf(c_0_526,negated_conjecture,
( epred44_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_463]) ).
cnf(c_0_527,negated_conjecture,
( epred45_0
| ~ c0_1(a731)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_337]),c_0_336]) ).
cnf(c_0_528,negated_conjecture,
( epred21_0
| c0_1(a731)
| hskp10
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_335]),c_0_336]) ).
cnf(c_0_529,negated_conjecture,
( hskp21
| ~ c2_1(a730)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_317]),c_0_318]) ).
cnf(c_0_530,negated_conjecture,
( epred45_0
| c2_1(a730)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_317]),c_0_318]) ).
cnf(c_0_531,negated_conjecture,
( epred45_0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_466]),c_0_467]),c_0_468]) ).
cnf(c_0_532,negated_conjecture,
( epred22_0
| epred12_0
| hskp21
| hskp0 ),
inference(spm,[status(thm)],[c_0_469,c_0_470]) ).
cnf(c_0_533,negated_conjecture,
( hskp5
| c0_1(X1)
| c0_1(X2)
| c3_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X2) ),
i_0_44 ).
cnf(c_0_534,negated_conjecture,
( epred22_0
| epred10_0
| epred8_0
| hskp0 ),
inference(spm,[status(thm)],[c_0_407,c_0_434]) ).
cnf(c_0_535,negated_conjecture,
( epred22_0
| epred13_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_471,c_0_472]) ).
cnf(c_0_536,negated_conjecture,
( epred13_0
| epred9_0
| hskp5 ),
inference(spm,[status(thm)],[c_0_399,c_0_473]) ).
cnf(c_0_537,negated_conjecture,
( epred38_0
| epred15_0
| epred13_0
| epred6_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_399,c_0_474]) ).
cnf(c_0_538,negated_conjecture,
( epred15_0
| epred13_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_399,c_0_475]) ).
cnf(c_0_539,negated_conjecture,
( epred38_0
| epred23_0
| epred15_0
| epred4_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_471,c_0_476]) ).
cnf(c_0_540,negated_conjecture,
( epred38_0
| epred15_0
| epred7_0
| epred5_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_403,c_0_459]) ).
cnf(c_0_541,negated_conjecture,
( epred46_0
| ~ c2_1(a730)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_405]),c_0_317]) ).
cnf(c_0_542,negated_conjecture,
( epred46_0
| epred25_0
| hskp11
| hskp0 ),
inference(spm,[status(thm)],[c_0_477,c_0_288]) ).
fof(c_0_543,plain,
( ~ epred16_0
<=> ! [X1] :
( hskp4
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_544,negated_conjecture,
( ~ epred37_0
| ~ epred34_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_479,c_0_478]),c_0_290]),c_0_363]) ).
cnf(c_0_545,negated_conjecture,
( epred24_0
| epred22_0
| epred8_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_480,c_0_481]) ).
cnf(c_0_546,negated_conjecture,
( epred24_0
| epred22_0
| epred9_0
| hskp1 ),
inference(spm,[status(thm)],[c_0_368,c_0_482]) ).
cnf(c_0_547,negated_conjecture,
( epred3_0
| c2_1(a741)
| hskp2
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_309]),c_0_310]) ).
cnf(c_0_548,negated_conjecture,
( epred28_0
| c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_484]) ).
cnf(c_0_549,negated_conjecture,
( epred24_0
| ~ c3_1(a763)
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_447]),c_0_449]) ).
cnf(c_0_550,negated_conjecture,
( epred35_0
| c3_1(a763)
| hskp1
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_485,c_0_447]),c_0_448]) ).
cnf(c_0_551,negated_conjecture,
( epred8_0
| c0_1(a731)
| hskp5
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_335]),c_0_336]) ).
cnf(c_0_552,negated_conjecture,
( epred30_0
| ~ c3_1(a750)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_486]),c_0_487]) ).
cnf(c_0_553,negated_conjecture,
( epred35_0
| c3_1(a750)
| hskp1
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_485,c_0_486]),c_0_487]) ).
cnf(c_0_554,negated_conjecture,
( hskp27
| hskp11
| ~ c2_1(a734)
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_306]),c_0_302]) ).
cnf(c_0_555,negated_conjecture,
( epred20_0
| hskp5
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_490]),c_0_491]),c_0_492]) ).
cnf(c_0_556,negated_conjecture,
( hskp20
| hskp5
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_494]),c_0_495]),c_0_496]) ).
cnf(c_0_557,negated_conjecture,
( epred26_0
| hskp13
| ~ c0_1(a775)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_420]),c_0_422]) ).
cnf(c_0_558,negated_conjecture,
( epred1_0
| c0_1(a775)
| hskp8
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_498]),c_0_422]) ).
cnf(c_0_559,negated_conjecture,
( hskp20
| hskp5
| ~ c3_1(a733)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_360]),c_0_359]) ).
cnf(c_0_560,negated_conjecture,
( epred20_0
| c3_1(a733)
| hskp5
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_360]),c_0_359]) ).
cnf(c_0_561,negated_conjecture,
( epred46_0
| epred38_0
| epred29_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_499,c_0_500]) ).
cnf(c_0_562,negated_conjecture,
( epred5_0
| hskp3
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_420]),c_0_421]),c_0_422]) ).
cnf(c_0_563,negated_conjecture,
( epred31_0
| c2_1(X1)
| c1_1(X1)
| hskp26
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_501]),c_0_292])]) ).
cnf(c_0_564,negated_conjecture,
( hskp1
| hskp2
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ),
i_0_51 ).
cnf(c_0_565,negated_conjecture,
( epred41_0
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_502]),c_0_292])]) ).
cnf(c_0_566,negated_conjecture,
( epred12_0
| hskp25
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_364]),c_0_504]),c_0_505]) ).
cnf(c_0_567,negated_conjecture,
( epred38_0
| epred6_0
| hskp0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_371,c_0_453]) ).
cnf(c_0_568,negated_conjecture,
( epred14_0
| c2_1(X1)
| c1_1(X1)
| hskp2
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_506]),c_0_292])]) ).
cnf(c_0_569,negated_conjecture,
( epred37_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_478]),c_0_292])]) ).
cnf(c_0_570,negated_conjecture,
( epred19_0
| ~ c2_1(a741)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_308]),c_0_310]) ).
cnf(c_0_571,negated_conjecture,
( epred1_0
| hskp8
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_498]),c_0_509]),c_0_510]) ).
cnf(c_0_572,negated_conjecture,
( epred46_0
| epred15_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(spm,[status(thm)],[c_0_307,c_0_405]) ).
cnf(c_0_573,negated_conjecture,
( epred30_0
| epred6_0
| c2_1(X1)
| c0_1(X1)
| hskp0 ),
inference(spm,[status(thm)],[c_0_511,c_0_381]) ).
cnf(c_0_574,negated_conjecture,
( hskp3
| hskp16
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
i_0_15 ).
cnf(c_0_575,negated_conjecture,
( c1_1(a798)
| ~ hskp23 ),
i_0_82 ).
cnf(c_0_576,negated_conjecture,
( c0_1(a798)
| ~ hskp23 ),
i_0_83 ).
cnf(c_0_577,negated_conjecture,
( ~ hskp23
| ~ c3_1(a798) ),
i_0_81 ).
cnf(c_0_578,negated_conjecture,
( epred43_0
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_513]),c_0_514]),c_0_515]) ).
cnf(c_0_579,negated_conjecture,
( hskp13
| hskp23
| hskp24 ),
i_0_5 ).
cnf(c_0_580,negated_conjecture,
( ~ epred7_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_516,c_0_294]),c_0_297]) ).
cnf(c_0_581,negated_conjecture,
( epred30_0
| epred15_0
| epred13_0
| epred6_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_471,c_0_517]) ).
cnf(c_0_582,negated_conjecture,
( epred30_0
| epred25_0
| epred7_0
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_518,c_0_519]) ).
cnf(c_0_583,negated_conjecture,
( epred30_0
| epred15_0
| epred7_0
| epred5_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_471,c_0_520]) ).
cnf(c_0_584,negated_conjecture,
( epred34_0
| epred17_0
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_393,c_0_521]) ).
cnf(c_0_585,negated_conjecture,
( c2_1(a764)
| ~ hskp16 ),
i_0_110 ).
cnf(c_0_586,negated_conjecture,
( c0_1(a764)
| ~ hskp16 ),
i_0_111 ).
cnf(c_0_587,negated_conjecture,
( epred38_0
| epred29_0
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_499,c_0_522]) ).
cnf(c_0_588,negated_conjecture,
( epred38_0
| epred34_0
| hskp19
| hskp16 ),
inference(spm,[status(thm)],[c_0_523,c_0_524]) ).
cnf(c_0_589,negated_conjecture,
( c3_1(X1)
| hskp18
| hskp11
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_525,c_0_292])]) ).
cnf(c_0_590,negated_conjecture,
( hskp19
| hskp27
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
i_0_18 ).
cnf(c_0_591,negated_conjecture,
( epred44_0
| ~ c2_1(a784)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_352]),c_0_354]) ).
cnf(c_0_592,negated_conjecture,
( epred24_0
| c2_1(a784)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_352]),c_0_354]) ).
cnf(c_0_593,negated_conjecture,
( epred45_0
| epred21_0
| hskp10
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_527,c_0_528]) ).
cnf(c_0_594,negated_conjecture,
( hskp25
| c0_1(X1)
| c1_1(X2)
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
i_0_59 ).
cnf(c_0_595,negated_conjecture,
( epred45_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_530]),c_0_531]) ).
cnf(c_0_596,negated_conjecture,
( epred45_0
| epred22_0
| epred12_0
| hskp0 ),
inference(spm,[status(thm)],[c_0_531,c_0_532]) ).
cnf(c_0_597,negated_conjecture,
( ~ epred9_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_533,c_0_312]),c_0_299]) ).
cnf(c_0_598,negated_conjecture,
( epred22_0
| epred13_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_534]),c_0_535]) ).
cnf(c_0_599,negated_conjecture,
( epred22_0
| epred13_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_378,c_0_536]) ).
cnf(c_0_600,negated_conjecture,
( epred38_0
| epred15_0
| epred13_0
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_537]),c_0_538]) ).
cnf(c_0_601,negated_conjecture,
( epred38_0
| epred23_0
| epred15_0
| ~ epred10_0
| ~ epred5_0 ),
inference(spm,[status(thm)],[c_0_518,c_0_539]) ).
cnf(c_0_602,negated_conjecture,
( epred38_0
| epred15_0
| epred7_0
| epred5_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_471,c_0_540]) ).
cnf(c_0_603,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c0_1(X2)
| ~ c3_1(X3)
| ~ c1_1(X3)
| ~ c1_1(X2) ),
i_0_55 ).
cnf(c_0_604,negated_conjecture,
( epred46_0
| epred25_0
| hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_356]),c_0_542]) ).
fof(c_0_605,plain,
( ~ epred18_0
<=> ! [X2] :
( hskp5
| c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_606,negated_conjecture,
( epred16_0
| c1_1(X1)
| c0_1(X1)
| hskp4
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_543]),c_0_292])]) ).
cnf(c_0_607,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X3)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c2_1(X1) ),
i_0_39 ).
cnf(c_0_608,negated_conjecture,
( epred24_0
| epred22_0
| epred8_0
| ~ epred37_0
| ~ epred34_0 ),
inference(spm,[status(thm)],[c_0_544,c_0_545]) ).
cnf(c_0_609,negated_conjecture,
( epred24_0
| epred22_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_480,c_0_546]) ).
cnf(c_0_610,negated_conjecture,
( epred44_0
| ~ c2_1(a741)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_308]),c_0_309]) ).
fof(c_0_611,plain,
( ~ epred32_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_612,negated_conjecture,
( c1_1(a737)
| ~ hskp26 ),
i_0_71 ).
cnf(c_0_613,negated_conjecture,
( c3_1(a737)
| ~ hskp26 ),
i_0_69 ).
cnf(c_0_614,negated_conjecture,
( epred22_0
| epred9_0
| c3_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_378,c_0_401]) ).
cnf(c_0_615,negated_conjecture,
( epred22_0
| epred3_0
| hskp2
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_376,c_0_547]) ).
cnf(c_0_616,negated_conjecture,
( epred35_0
| epred28_0
| c3_1(X1)
| hskp1
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_485,c_0_548]) ).
cnf(c_0_617,negated_conjecture,
( epred35_0
| epred24_0
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_550]),c_0_480]) ).
cnf(c_0_618,negated_conjecture,
( epred30_0
| epred8_0
| hskp5
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_382,c_0_551]) ).
cnf(c_0_619,negated_conjecture,
( epred35_0
| epred30_0
| hskp1
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_552,c_0_553]) ).
cnf(c_0_620,negated_conjecture,
( epred8_0
| hskp27
| hskp11
| hskp5
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_554,c_0_406]) ).
cnf(c_0_621,negated_conjecture,
( epred20_0
| hskp5
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_555,c_0_556]) ).
cnf(c_0_622,negated_conjecture,
( epred26_0
| epred1_0
| hskp13
| hskp8
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_557,c_0_558]) ).
cnf(c_0_623,negated_conjecture,
( epred20_0
| hskp5
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_560]),c_0_555]) ).
cnf(c_0_624,negated_conjecture,
( epred12_0
| epred8_0
| c2_1(X1)
| c0_1(X1)
| hskp25
| hskp5 ),
inference(spm,[status(thm)],[c_0_343,c_0_364]) ).
cnf(c_0_625,negated_conjecture,
( epred46_0
| epred38_0
| epred29_0
| epred5_0
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_561,c_0_562]) ).
cnf(c_0_626,negated_conjecture,
( epred31_0
| c2_1(a730)
| hskp26
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_318]),c_0_320]) ).
cnf(c_0_627,negated_conjecture,
( c1_1(X1)
| c0_1(X1)
| hskp2
| hskp1
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_564,c_0_292])]) ).
cnf(c_0_628,negated_conjecture,
( epred41_0
| c2_1(a744)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_324]),c_0_323]) ).
cnf(c_0_629,negated_conjecture,
( epred23_0
| epred4_0
| c2_1(X1)
| c3_1(X1)
| c0_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_385]),c_0_413]) ).
cnf(c_0_630,negated_conjecture,
( epred21_0
| epred12_0
| c2_1(X1)
| c0_1(X1)
| hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_364]),c_0_566]) ).
cnf(c_0_631,negated_conjecture,
( epred38_0
| epred6_0
| c2_1(X1)
| c0_1(X1)
| hskp0 ),
inference(spm,[status(thm)],[c_0_567,c_0_381]) ).
cnf(c_0_632,negated_conjecture,
( epred20_0
| c1_1(a777)
| hskp5
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_329]),c_0_328]) ).
cnf(c_0_633,negated_conjecture,
( epred14_0
| c2_1(a730)
| hskp2
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_318]),c_0_320]) ).
cnf(c_0_634,negated_conjecture,
( epred37_0
| c2_1(a744)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_569]),c_0_323]) ).
cnf(c_0_635,negated_conjecture,
( epred12_0
| c2_1(a749)
| hskp25
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_364]),c_0_386]) ).
cnf(c_0_636,negated_conjecture,
( epred19_0
| epred8_0
| hskp5
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_570,c_0_377]) ).
cnf(c_0_637,negated_conjecture,
( epred10_0
| epred1_0
| hskp7
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_402,c_0_571]) ).
cnf(c_0_638,negated_conjecture,
( epred37_0
| c2_1(a749)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_569]),c_0_386]) ).
cnf(c_0_639,negated_conjecture,
( epred46_0
| epred34_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_393,c_0_405]) ).
cnf(c_0_640,negated_conjecture,
( epred46_0
| epred30_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_349,c_0_405]) ).
cnf(c_0_641,negated_conjecture,
( epred46_0
| epred15_0
| epred2_0
| c0_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_572,c_0_303]) ).
cnf(c_0_642,negated_conjecture,
( epred30_0
| epred13_0
| epred6_0
| c2_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_399,c_0_573]) ).
cnf(c_0_643,negated_conjecture,
( epred3_0
| c2_1(a744)
| hskp2
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_324]),c_0_323]) ).
cnf(c_0_644,negated_conjecture,
( epred22_0
| epred9_0
| epred2_0
| c3_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_431,c_0_401]) ).
cnf(c_0_645,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp16
| hskp3
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_574,c_0_292])]) ).
cnf(c_0_646,negated_conjecture,
( epred35_0
| hskp1
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_485,c_0_575]),c_0_576]),c_0_577]) ).
cnf(c_0_647,negated_conjecture,
( epred43_0
| hskp23
| hskp13 ),
inference(spm,[status(thm)],[c_0_578,c_0_579]) ).
cnf(c_0_648,negated_conjecture,
( epred30_0
| epred15_0
| epred13_0
| ~ epred10_0
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_580,c_0_581]) ).
cnf(c_0_649,negated_conjecture,
( epred30_0
| epred25_0
| epred15_0
| epred7_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_582,c_0_583]) ).
cnf(c_0_650,negated_conjecture,
( epred34_0
| epred17_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_585]),c_0_586]) ).
cnf(c_0_651,negated_conjecture,
( epred38_0
| epred34_0
| epred29_0
| hskp16 ),
inference(spm,[status(thm)],[c_0_587,c_0_588]) ).
cnf(c_0_652,negated_conjecture,
( c3_1(a750)
| hskp18
| hskp11
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_486]),c_0_487]) ).
cnf(c_0_653,negated_conjecture,
( c1_1(X1)
| hskp27
| hskp19
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_590,c_0_292])]) ).
cnf(c_0_654,negated_conjecture,
( epred44_0
| epred24_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_591,c_0_592]) ).
cnf(c_0_655,negated_conjecture,
( hskp28
| hskp11
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_426]),c_0_427]),c_0_428]) ).
cnf(c_0_656,negated_conjecture,
( epred45_0
| epred21_0
| epred12_0
| hskp25
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_566,c_0_593]) ).
cnf(c_0_657,negated_conjecture,
( epred26_0
| hskp13
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_447]),c_0_448]),c_0_449]) ).
cnf(c_0_658,negated_conjecture,
( ~ epred13_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_594,c_0_326]),c_0_327]) ).
cnf(c_0_659,negated_conjecture,
( epred45_0
| epred22_0
| epred12_0 ),
inference(spm,[status(thm)],[c_0_595,c_0_596]) ).
cnf(c_0_660,negated_conjecture,
( epred22_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_598]),c_0_599]) ).
cnf(c_0_661,negated_conjecture,
( epred23_0
| c0_1(a731)
| hskp11
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_335]),c_0_336]) ).
cnf(c_0_662,negated_conjecture,
( epred3_0
| c0_1(a731)
| hskp2
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_337]),c_0_336]) ).
cnf(c_0_663,negated_conjecture,
( epred38_0
| epred15_0
| epred13_0
| ~ epred7_0 ),
inference(spm,[status(thm)],[c_0_580,c_0_600]) ).
cnf(c_0_664,negated_conjecture,
( epred38_0
| epred23_0
| epred15_0
| epred7_0
| ~ epred10_0 ),
inference(spm,[status(thm)],[c_0_601,c_0_602]) ).
cnf(c_0_665,negated_conjecture,
( epred26_0
| hskp13
| ~ c0_1(a731)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_335]),c_0_336]) ).
cnf(c_0_666,negated_conjecture,
( epred41_0
| c0_1(a731)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_337]),c_0_336]) ).
cnf(c_0_667,negated_conjecture,
( ~ epred38_0
| ~ epred30_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_603,c_0_301]),c_0_351]),c_0_314]) ).
cnf(c_0_668,negated_conjecture,
( epred46_0
| epred25_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_413,c_0_604]) ).
cnf(c_0_669,negated_conjecture,
( epred21_0
| c2_1(a734)
| hskp10
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_306]),c_0_304]) ).
cnf(c_0_670,negated_conjecture,
( epred18_0
| c1_1(X1)
| c0_1(X1)
| hskp5
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_605]),c_0_292])]) ).
cnf(c_0_671,negated_conjecture,
( epred16_0
| hskp4
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_324]),c_0_323]),c_0_321]) ).
cnf(c_0_672,negated_conjecture,
( epred2_0
| ~ c2_1(a749)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_303]),c_0_386]) ).
cnf(c_0_673,negated_conjecture,
( ~ epred44_0
| ~ epred41_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_607,c_0_502]),c_0_311]),c_0_463]) ).
cnf(c_0_674,negated_conjecture,
( epred24_0
| epred22_0
| ~ epred37_0
| ~ epred34_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_608]),c_0_609]) ).
cnf(c_0_675,negated_conjecture,
( epred44_0
| epred24_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_610,c_0_408]) ).
cnf(c_0_676,negated_conjecture,
( c2_1(a750)
| ~ hskp27 ),
i_0_65 ).
cnf(c_0_677,negated_conjecture,
( epred32_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_611]) ).
cnf(c_0_678,negated_conjecture,
( epred30_0
| ~ c0_1(a737)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_612]),c_0_613]) ).
cnf(c_0_679,negated_conjecture,
( epred15_0
| c0_1(a737)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_612]),c_0_613]) ).
cnf(c_0_680,negated_conjecture,
( epred22_0
| epred9_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_614]),c_0_509]) ).
cnf(c_0_681,negated_conjecture,
( epred22_0
| epred3_0
| hskp4
| hskp2
| hskp1 ),
inference(spm,[status(thm)],[c_0_615,c_0_341]) ).
cnf(c_0_682,negated_conjecture,
( epred46_0
| epred44_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(spm,[status(thm)],[c_0_526,c_0_405]) ).
cnf(c_0_683,negated_conjecture,
( c0_1(X1)
| c1_1(X2)
| c2_1(X3)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1) ),
i_0_26 ).
cnf(c_0_684,negated_conjecture,
( c3_1(X1)
| c3_1(X2)
| c1_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c2_1(X2) ),
i_0_20 ).
cnf(c_0_685,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X3)
| c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X3)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X3)
| ~ c1_1(X1) ),
i_0_40 ).
cnf(c_0_686,negated_conjecture,
( hskp1
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c2_1(X2) ),
i_0_13 ).
cnf(c_0_687,negated_conjecture,
( hskp26
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X2) ),
i_0_24 ).
cnf(c_0_688,negated_conjecture,
( hskp15
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X1) ),
i_0_30 ).
cnf(c_0_689,negated_conjecture,
( hskp13
| c0_1(X1)
| c3_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X1) ),
i_0_33 ).
cnf(c_0_690,negated_conjecture,
( hskp11
| c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X2) ),
i_0_23 ).
cnf(c_0_691,negated_conjecture,
( hskp11
| c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X1) ),
i_0_42 ).
cnf(c_0_692,negated_conjecture,
( hskp10
| c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X1) ),
i_0_43 ).
cnf(c_0_693,negated_conjecture,
( hskp5
| c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X1) ),
i_0_21 ).
cnf(c_0_694,negated_conjecture,
( hskp5
| c0_1(X1)
| c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
i_0_49 ).
cnf(c_0_695,negated_conjecture,
( hskp4
| c0_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2) ),
i_0_47 ).
cnf(c_0_696,negated_conjecture,
( hskp2
| c0_1(X1)
| c1_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
i_0_27 ).
cnf(c_0_697,negated_conjecture,
( hskp2
| c0_1(X1)
| c0_1(X2)
| c3_1(X2)
| c1_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ),
i_0_57 ).
cnf(c_0_698,negated_conjecture,
( hskp8
| c0_1(X1)
| c0_1(X2)
| c3_1(X1)
| c3_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1) ),
i_0_46 ).
cnf(c_0_699,negated_conjecture,
( epred35_0
| epred28_0
| c3_1(a764)
| hskp1
| ~ c0_1(a764)
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_616,c_0_585]) ).
cnf(c_0_700,negated_conjecture,
( epred35_0
| epred24_0
| epred46_0
| epred29_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_617,c_0_500]) ).
cnf(c_0_701,negated_conjecture,
( epred30_0
| epred8_0
| hskp5
| epred35_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_618,c_0_619]) ).
cnf(c_0_702,negated_conjecture,
( epred8_0
| hskp27
| hskp11
| hskp5
| epred24_0
| epred22_0
| hskp1 ),
inference(spm,[status(thm)],[c_0_620,c_0_482]) ).
cnf(c_0_703,negated_conjecture,
( epred20_0
| hskp5
| epred26_0
| epred1_0
| hskp8
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_621,c_0_622]) ).
cnf(c_0_704,negated_conjecture,
( epred20_0
| hskp5
| epred5_0
| epred2_0
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_623,c_0_392]) ).
cnf(c_0_705,negated_conjecture,
( hskp27
| hskp11
| epred12_0
| epred8_0
| c0_1(a734)
| hskp25
| hskp5
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_554,c_0_624]) ).
cnf(c_0_706,negated_conjecture,
( epred46_0
| epred38_0
| epred29_0
| epred5_0
| hskp19
| hskp16 ),
inference(spm,[status(thm)],[c_0_625,c_0_524]) ).
cnf(c_0_707,negated_conjecture,
( c1_1(a730)
| hskp20
| hskp5
| epred31_0
| hskp26
| ~ c3_1(a730)
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_493,c_0_626]) ).
cnf(c_0_708,negated_conjecture,
( c1_1(a744)
| c0_1(a744)
| hskp2
| hskp1
| epred41_0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_627,c_0_628]) ).
cnf(c_0_709,negated_conjecture,
( c1_1(a744)
| c0_1(a744)
| hskp2
| hskp1
| epred25_0
| hskp11
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_627,c_0_358]) ).
cnf(c_0_710,negated_conjecture,
( epred23_0
| epred4_0
| c2_1(a732)
| c0_1(a732)
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_508,c_0_629]) ).
cnf(c_0_711,negated_conjecture,
( epred21_0
| epred12_0
| c0_1(a732)
| hskp25
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_510,c_0_630]) ).
cnf(c_0_712,negated_conjecture,
( epred38_0
| epred6_0
| c0_1(a732)
| hskp0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_510,c_0_631]) ).
cnf(c_0_713,negated_conjecture,
( epred9_0
| c3_1(a777)
| c0_1(a777)
| epred20_0
| hskp5
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_331,c_0_632]) ).
cnf(c_0_714,negated_conjecture,
( c1_1(a730)
| hskp20
| hskp5
| epred14_0
| hskp2
| ~ c3_1(a730)
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_493,c_0_633]) ).
cnf(c_0_715,negated_conjecture,
( c1_1(a744)
| c0_1(a744)
| hskp2
| hskp1
| epred37_0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_627,c_0_634]) ).
cnf(c_0_716,negated_conjecture,
( c1_1(a744)
| c0_1(a744)
| hskp2
| hskp1
| epred12_0
| hskp25
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_627,c_0_397]) ).
cnf(c_0_717,negated_conjecture,
( c1_1(a749)
| c0_1(a749)
| hskp2
| hskp1
| epred12_0
| hskp25
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_627,c_0_635]) ).
cnf(c_0_718,negated_conjecture,
( epred19_0
| epred8_0
| hskp5
| epred10_0
| epred1_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_636,c_0_637]) ).
cnf(c_0_719,negated_conjecture,
( epred29_0
| c3_1(a734)
| c0_1(a734)
| hskp15
| epred8_0
| hskp5
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_409,c_0_406]) ).
cnf(c_0_720,negated_conjecture,
( epred29_0
| c3_1(a749)
| c0_1(a749)
| hskp15
| epred37_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_409,c_0_638]) ).
cnf(c_0_721,negated_conjecture,
( epred46_0
| epred34_0
| ~ c2_1(a729)
| ~ c0_1(a729)
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_639,c_0_426]) ).
cnf(c_0_722,negated_conjecture,
( epred46_0
| epred30_0
| ~ c2_1(a729)
| ~ c0_1(a729)
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_640,c_0_426]) ).
cnf(c_0_723,negated_conjecture,
( epred46_0
| epred15_0
| epred2_0
| c0_1(a735)
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_641,c_0_345]) ).
cnf(c_0_724,negated_conjecture,
( epred46_0
| epred15_0
| c0_1(a735)
| ~ c2_1(a735)
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_572,c_0_344]) ).
cnf(c_0_725,negated_conjecture,
( epred30_0
| epred13_0
| epred6_0
| c0_1(a732)
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_510,c_0_642]) ).
cnf(c_0_726,negated_conjecture,
( epred29_0
| c3_1(a734)
| c0_1(a734)
| hskp15
| epred5_0
| hskp3
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_409,c_0_362]) ).
cnf(c_0_727,negated_conjecture,
( c1_1(a744)
| c0_1(a744)
| hskp2
| hskp1
| epred3_0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_627,c_0_643]) ).
cnf(c_0_728,negated_conjecture,
( epred22_0
| epred9_0
| epred2_0
| c0_1(a732)
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_508,c_0_644]) ).
cnf(c_0_729,negated_conjecture,
( epred6_0
| c0_1(a732)
| hskp1
| hskp0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_510,c_0_381]) ).
cnf(c_0_730,negated_conjecture,
( c2_1(a744)
| c0_1(a744)
| hskp1
| hskp0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_321,c_0_348]) ).
cnf(c_0_731,negated_conjecture,
( c2_1(a748)
| c0_1(a748)
| hskp1
| hskp0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_503,c_0_348]) ).
cnf(c_0_732,negated_conjecture,
( c2_1(a749)
| c0_1(a749)
| hskp1
| hskp0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_384,c_0_348]) ).
cnf(c_0_733,negated_conjecture,
( c3_1(a749)
| c0_1(a749)
| hskp5
| hskp4
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_384,c_0_332]) ).
cnf(c_0_734,negated_conjecture,
( c2_1(a802)
| c3_1(a802)
| hskp16
| hskp3
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_645,c_0_514]) ).
cnf(c_0_735,negated_conjecture,
( epred43_0
| epred35_0
| hskp13
| hskp1 ),
inference(spm,[status(thm)],[c_0_646,c_0_647]) ).
cnf(c_0_736,negated_conjecture,
( epred30_0
| epred25_0
| epred15_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_648,c_0_649]),c_0_538]) ).
cnf(c_0_737,negated_conjecture,
( epred38_0
| epred34_0
| epred29_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_650,c_0_651]) ).
cnf(c_0_738,negated_conjecture,
( epred30_0
| hskp18
| hskp11
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_552,c_0_652]) ).
cnf(c_0_739,negated_conjecture,
( hskp27
| hskp19
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_653,c_0_317]),c_0_318]),c_0_320]) ).
cnf(c_0_740,negated_conjecture,
( epred44_0
| epred24_0
| hskp11
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_654,c_0_655]) ).
cnf(c_0_741,negated_conjecture,
( epred45_0
| epred21_0
| epred12_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_656]),c_0_531]) ).
cnf(c_0_742,negated_conjecture,
( epred29_0
| epred26_0
| hskp13
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_657,c_0_522]) ).
cnf(c_0_743,negated_conjecture,
( epred45_0
| epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_658,c_0_659]),c_0_660]) ).
cnf(c_0_744,negated_conjecture,
( epred45_0
| epred23_0
| hskp11
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_527,c_0_661]) ).
cnf(c_0_745,negated_conjecture,
( epred45_0
| epred3_0
| hskp2
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_527,c_0_662]) ).
cnf(c_0_746,negated_conjecture,
( epred38_0
| epred23_0
| epred15_0
| epred13_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_663,c_0_664]),c_0_538]) ).
cnf(c_0_747,negated_conjecture,
( epred26_0
| epred8_0
| hskp13
| hskp5
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_665,c_0_551]) ).
cnf(c_0_748,negated_conjecture,
( epred41_0
| epred38_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_371,c_0_666]) ).
cnf(c_0_749,negated_conjecture,
( epred41_0
| epred30_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_382,c_0_666]) ).
cnf(c_0_750,negated_conjecture,
( epred46_0
| epred41_0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_436,c_0_628]) ).
cnf(c_0_751,negated_conjecture,
( epred46_0
| epred25_0
| ~ epred38_0
| ~ epred30_0 ),
inference(spm,[status(thm)],[c_0_667,c_0_668]) ).
cnf(c_0_752,negated_conjecture,
( epred25_0
| epred22_0
| hskp11
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_396,c_0_358]) ).
cnf(c_0_753,negated_conjecture,
( epred38_0
| epred23_0
| hskp11
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_371,c_0_661]) ).
cnf(c_0_754,negated_conjecture,
( epred30_0
| epred23_0
| hskp11
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_382,c_0_661]) ).
cnf(c_0_755,negated_conjecture,
( epred21_0
| epred2_0
| hskp10
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_338,c_0_669]) ).
cnf(c_0_756,negated_conjecture,
( epred18_0
| hskp5
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_670,c_0_324]),c_0_323]),c_0_321]) ).
cnf(c_0_757,negated_conjecture,
( epred16_0
| epred1_0
| hskp4
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_671,c_0_571]) ).
cnf(c_0_758,negated_conjecture,
( epred46_0
| epred14_0
| hskp2
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_541,c_0_633]) ).
cnf(c_0_759,negated_conjecture,
( epred37_0
| epred22_0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_396,c_0_634]) ).
cnf(c_0_760,negated_conjecture,
( epred12_0
| epred2_0
| hskp25
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_672,c_0_635]) ).
cnf(c_0_761,negated_conjecture,
( epred24_0
| ~ epred44_0
| ~ epred41_0
| ~ epred37_0
| ~ epred34_0 ),
inference(spm,[status(thm)],[c_0_673,c_0_674]) ).
cnf(c_0_762,negated_conjecture,
( epred37_0
| epred2_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_672,c_0_638]) ).
cnf(c_0_763,negated_conjecture,
( epred46_0
| epred3_0
| hskp2
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_436,c_0_643]) ).
cnf(c_0_764,negated_conjecture,
( epred46_0
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_405]),c_0_495]),c_0_494]) ).
cnf(c_0_765,negated_conjecture,
( epred44_0
| epred24_0
| hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_675,c_0_341]),c_0_480]) ).
cnf(c_0_766,negated_conjecture,
( epred34_0
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_486]),c_0_487]),c_0_676]) ).
cnf(c_0_767,negated_conjecture,
( epred32_0
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_426]),c_0_427]),c_0_428]) ).
cnf(c_0_768,negated_conjecture,
( epred30_0
| epred15_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_678,c_0_679]) ).
cnf(c_0_769,negated_conjecture,
( epred22_0
| epred9_0
| epred3_0
| hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_680,c_0_681]),c_0_368]) ).
cnf(c_0_770,negated_conjecture,
( epred22_0
| epred3_0
| hskp2
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_396,c_0_643]) ).
cnf(c_0_771,negated_conjecture,
( epred15_0
| epred9_0
| hskp1 ),
inference(spm,[status(thm)],[c_0_368,c_0_374]) ).
cnf(c_0_772,negated_conjecture,
( epred7_0
| ~ c2_1(a749)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_322]),c_0_386]) ).
cnf(c_0_773,negated_conjecture,
( epred46_0
| epred44_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_682,c_0_344]),c_0_345]) ).
cnf(c_0_774,negated_conjecture,
( ~ epred46_0
| ~ epred45_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_683,c_0_423]),c_0_375]),c_0_311]) ).
cnf(c_0_775,negated_conjecture,
( ~ epred43_0
| ~ epred34_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_684,c_0_454]),c_0_484]),c_0_363]) ).
cnf(c_0_776,negated_conjecture,
( ~ epred41_0
| ~ epred24_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_685,c_0_502]),c_0_347]),c_0_293]) ).
cnf(c_0_777,negated_conjecture,
( ~ epred35_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_686,c_0_441]),c_0_611]) ).
cnf(c_0_778,negated_conjecture,
( ~ epred32_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_687,c_0_501]),c_0_611]) ).
cnf(c_0_779,negated_conjecture,
( ~ epred30_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_688,c_0_380]),c_0_314]) ).
cnf(c_0_780,negated_conjecture,
( ~ epred26_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_689,c_0_445]),c_0_299]) ).
cnf(c_0_781,negated_conjecture,
( ~ epred25_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_690,c_0_296]),c_0_347]) ).
cnf(c_0_782,negated_conjecture,
( ~ epred24_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_691,c_0_291]),c_0_347]) ).
cnf(c_0_783,negated_conjecture,
( ~ epred22_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_692,c_0_424]),c_0_311]) ).
cnf(c_0_784,negated_conjecture,
( ~ epred20_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_693,c_0_443]),c_0_327]) ).
cnf(c_0_785,negated_conjecture,
( ~ epred19_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_694,c_0_605]),c_0_452]) ).
cnf(c_0_786,negated_conjecture,
( ~ epred17_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_695,c_0_543]),c_0_460]) ).
cnf(c_0_787,negated_conjecture,
( ~ epred15_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_696,c_0_506]),c_0_293]) ).
cnf(c_0_788,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_697,c_0_440]),c_0_351]) ).
cnf(c_0_789,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_698,c_0_446]),c_0_290]) ).
cnf(c_0_790,negated_conjecture,
( ~ hskp16
| ~ c3_1(a764) ),
i_0_109 ).
cnf(c_0_791,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_699,c_0_700,c_0_701,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_728,c_0_729,c_0_730,c_0_731,c_0_732,c_0_733,c_0_734,c_0_735,c_0_646,c_0_736,c_0_737,c_0_621,c_0_738,c_0_739,c_0_740,c_0_741,c_0_742,c_0_587,c_0_743,c_0_595,c_0_531,c_0_744,c_0_745,c_0_746,c_0_747,c_0_622,c_0_657,c_0_748,c_0_749,c_0_750,c_0_751,c_0_604,c_0_356,c_0_752,c_0_753,c_0_754,c_0_755,c_0_499,c_0_555,c_0_756,c_0_403,c_0_757,c_0_758,c_0_759,c_0_760,c_0_761,c_0_674,c_0_434,c_0_402,c_0_481,c_0_407,c_0_437,c_0_762,c_0_469,c_0_763,c_0_764,c_0_765,c_0_675,c_0_766,c_0_767,c_0_411,c_0_768,c_0_609,c_0_480,c_0_769,c_0_680,c_0_378,c_0_770,c_0_771,c_0_374,c_0_399,c_0_357,c_0_391,c_0_772,c_0_413,c_0_571,c_0_366,c_0_672,c_0_493,c_0_653,c_0_773,c_0_774,c_0_673,c_0_775,c_0_667,c_0_776,c_0_544,c_0_777,c_0_778,c_0_779,c_0_780,c_0_781,c_0_782,c_0_783,c_0_784,c_0_785,c_0_786,c_0_787,c_0_658,c_0_471,c_0_597,c_0_580,c_0_518,c_0_788,c_0_789,c_0_515,c_0_512,c_0_328,c_0_330,c_0_790,c_0_384,c_0_387,c_0_386,c_0_505,c_0_504,c_0_346,c_0_302,c_0_304,c_0_510,c_0_509,c_0_321,c_0_323,c_0_320,c_0_345,c_0_428,c_0_317,c_0_427,c_0_586,c_0_318,c_0_579,c_0_288]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN451+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 23:13:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 18.28/3.78 # ENIGMATIC: Solved by autoschedule:
% 18.28/3.78 # No SInE strategy applied
% 18.28/3.78 # Trying AutoSched0 for 150 seconds
% 18.28/3.78 # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 18.28/3.78 # and selection function SelectMaxLComplexAvoidPosPred.
% 18.28/3.78 #
% 18.28/3.78 # Preprocessing time : 0.026 s
% 18.28/3.78 # SatCheck found unsatisfiable ground set
% 18.28/3.78
% 18.28/3.78 # Proof found!
% 18.28/3.78 # SZS status Theorem
% 18.28/3.78 # SZS output start CNFRefutation
% See solution above
% 18.28/3.78 # Training examples: 0 positive, 0 negative
% 18.28/3.78
% 18.28/3.78 # -------------------------------------------------
% 18.28/3.78 # User time : 1.301 s
% 18.28/3.78 # System time : 0.054 s
% 18.28/3.78 # Total time : 1.355 s
% 18.28/3.78 # Maximum resident set size: 7116 pages
% 18.28/3.78
%------------------------------------------------------------------------------