TSTP Solution File: SYN511+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SYN511+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n009.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 04:54:18 EDT 2022
% Result : Theorem 15.33s 3.31s
% Output : CNFRefutation 15.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 121
% Syntax : Number of formulae : 367 ( 2 unt; 0 def)
% Number of atoms : 1346 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1665 ( 686 ~; 949 |; 0 &)
% ( 30 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 57 ( 56 usr; 53 prp; 0-1 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 170 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_116,negated_conjecture,
( ndr1_0
| ~ hskp22 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_116) ).
cnf(i_0_2,negated_conjecture,
( hskp0
| hskp8
| hskp22 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_2) ).
cnf(i_0_204,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_204) ).
cnf(i_0_172,negated_conjecture,
( ndr1_0
| ~ hskp8 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_172) ).
cnf(i_0_81,negated_conjecture,
( c3_1(a753)
| ~ hskp30 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_81) ).
cnf(i_0_82,negated_conjecture,
( c2_1(a753)
| ~ hskp30 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_82) ).
cnf(i_0_83,negated_conjecture,
( c0_1(a753)
| ~ hskp30 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_83) ).
cnf(i_0_158,negated_conjecture,
( c3_1(a683)
| ~ hskp11 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_158) ).
cnf(i_0_159,negated_conjecture,
( c0_1(a683)
| ~ hskp11 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_159) ).
cnf(i_0_157,negated_conjecture,
( ~ hskp11
| ~ c2_1(a683) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_157) ).
cnf(i_0_9,negated_conjecture,
( hskp11
| hskp28
| hskp30 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_9) ).
cnf(i_0_89,negated_conjecture,
( c3_1(a678)
| ~ hskp28 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_89) ).
cnf(i_0_91,negated_conjecture,
( c0_1(a678)
| ~ hskp28 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_91) ).
cnf(i_0_90,negated_conjecture,
( c1_1(a678)
| ~ hskp28 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_90) ).
cnf(i_0_12,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_12) ).
cnf(i_0_178,negated_conjecture,
( c3_1(a674)
| ~ hskp6 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_178) ).
cnf(i_0_177,negated_conjecture,
( ~ hskp6
| ~ c1_1(a674) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_177) ).
cnf(i_0_138,negated_conjecture,
( c3_1(a702)
| ~ hskp16 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_138) ).
cnf(i_0_139,negated_conjecture,
( c2_1(a702)
| ~ hskp16 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_139) ).
cnf(i_0_137,negated_conjecture,
( ~ hskp16
| ~ c1_1(a702) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_137) ).
cnf(i_0_201,negated_conjecture,
( ~ hskp0
| ~ c3_1(a668) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_201) ).
cnf(i_0_203,negated_conjecture,
( c1_1(a668)
| ~ hskp0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_203) ).
cnf(i_0_202,negated_conjecture,
( ~ hskp0
| ~ c2_1(a668) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_202) ).
cnf(i_0_99,negated_conjecture,
( c1_1(a762)
| ~ hskp26 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_99) ).
cnf(i_0_97,negated_conjecture,
( ~ hskp26
| ~ c3_1(a762) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_97) ).
cnf(i_0_98,negated_conjecture,
( ~ hskp26
| ~ c0_1(a762) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_98) ).
cnf(i_0_55,negated_conjecture,
( hskp12
| c2_1(X1)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_55) ).
cnf(i_0_126,negated_conjecture,
( c2_1(a710)
| ~ hskp19 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_126) ).
cnf(i_0_127,negated_conjecture,
( c1_1(a710)
| ~ hskp19 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_127) ).
cnf(i_0_125,negated_conjecture,
( ~ hskp19
| ~ c0_1(a710) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_125) ).
cnf(i_0_71,negated_conjecture,
( hskp8
| hskp9
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_71) ).
cnf(i_0_26,negated_conjecture,
( hskp15
| hskp29
| c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_26) ).
cnf(i_0_27,negated_conjecture,
( hskp19
| hskp20
| c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_27) ).
cnf(i_0_18,negated_conjecture,
( hskp10
| hskp28
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_18) ).
cnf(i_0_17,negated_conjecture,
( hskp14
| hskp17
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_17) ).
cnf(i_0_21,negated_conjecture,
( hskp19
| hskp24
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_21) ).
cnf(i_0_149,negated_conjecture,
( ~ hskp13
| ~ c3_1(a688) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_149) ).
cnf(i_0_150,negated_conjecture,
( c1_1(a688)
| ~ hskp13 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_150) ).
cnf(i_0_151,negated_conjecture,
( c0_1(a688)
| ~ hskp13 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_151) ).
cnf(i_0_167,negated_conjecture,
( c2_1(a680)
| ~ hskp9 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_167) ).
cnf(i_0_166,negated_conjecture,
( ~ hskp9
| ~ c1_1(a680) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_166) ).
cnf(i_0_165,negated_conjecture,
( ~ hskp9
| ~ c3_1(a680) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_165) ).
cnf(i_0_6,negated_conjecture,
( hskp12
| hskp26
| hskp30 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_6) ).
cnf(i_0_162,negated_conjecture,
( c3_1(a681)
| ~ hskp10 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_162) ).
cnf(i_0_163,negated_conjecture,
( c2_1(a681)
| ~ hskp10 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_163) ).
cnf(i_0_161,negated_conjecture,
( ~ hskp10
| ~ c0_1(a681) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_161) ).
cnf(i_0_174,negated_conjecture,
( c3_1(a675)
| ~ hskp7 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_174) ).
cnf(i_0_175,negated_conjecture,
( c1_1(a675)
| ~ hskp7 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_175) ).
cnf(i_0_24,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c3_1(X3)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X3)
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_24) ).
cnf(i_0_8,negated_conjecture,
( hskp9
| hskp19
| hskp28 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_8) ).
cnf(i_0_173,negated_conjecture,
( ~ hskp7
| ~ c2_1(a675) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_173) ).
cnf(i_0_121,negated_conjecture,
( ~ hskp20
| ~ c2_1(a711) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_121) ).
cnf(i_0_107,negated_conjecture,
( c0_1(a731)
| ~ hskp24 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_107) ).
cnf(i_0_155,negated_conjecture,
( c3_1(a684)
| ~ hskp12 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_155) ).
cnf(i_0_153,negated_conjecture,
( ~ hskp12
| ~ c2_1(a684) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_153) ).
cnf(i_0_143,negated_conjecture,
( c2_1(a700)
| ~ hskp15 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_143) ).
cnf(i_0_141,negated_conjecture,
( ~ hskp15
| ~ c3_1(a700) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_141) ).
cnf(i_0_154,negated_conjecture,
( ~ hskp12
| ~ c0_1(a684) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_154) ).
cnf(i_0_142,negated_conjecture,
( ~ hskp15
| ~ c0_1(a700) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_142) ).
cnf(i_0_105,negated_conjecture,
( ~ hskp24
| ~ c3_1(a731) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_105) ).
cnf(i_0_106,negated_conjecture,
( ~ hskp24
| ~ c1_1(a731) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_106) ).
cnf(i_0_145,negated_conjecture,
( ~ hskp14
| ~ c3_1(a696) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_145) ).
cnf(i_0_146,negated_conjecture,
( c2_1(a696)
| ~ hskp14 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_146) ).
cnf(i_0_147,negated_conjecture,
( c0_1(a696)
| ~ hskp14 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_147) ).
cnf(i_0_170,negated_conjecture,
( c3_1(a679)
| ~ hskp8 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_170) ).
cnf(i_0_171,negated_conjecture,
( c1_1(a679)
| ~ hskp8 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_171) ).
cnf(i_0_169,negated_conjecture,
( ~ hskp8
| ~ c0_1(a679) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_169) ).
cnf(i_0_85,negated_conjecture,
( c3_1(a725)
| ~ hskp29 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_85) ).
cnf(i_0_87,negated_conjecture,
( c1_1(a725)
| ~ hskp29 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_87) ).
cnf(i_0_86,negated_conjecture,
( c2_1(a725)
| ~ hskp29 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_86) ).
cnf(i_0_63,negated_conjecture,
( hskp9
| hskp13
| c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_63) ).
cnf(i_0_134,negated_conjecture,
( ~ hskp17
| ~ c0_1(a703) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_134) ).
cnf(i_0_135,negated_conjecture,
( c1_1(a703)
| ~ hskp17 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_135) ).
cnf(i_0_62,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c2_1(X3)
| ~ c3_1(X3)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_62) ).
cnf(i_0_67,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X3)
| ~ c3_1(X3)
| ~ c3_1(X1)
| ~ c0_1(X3)
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_67) ).
cnf(i_0_60,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X3)
| ~ c2_1(X1)
| ~ c3_1(X3)
| ~ c3_1(X1)
| ~ c0_1(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_60) ).
cnf(i_0_56,negated_conjecture,
( c2_1(X1)
| c2_1(X2)
| c3_1(X3)
| c0_1(X3)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X3)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_56) ).
cnf(i_0_69,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c0_1(X3)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c3_1(X3)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_69) ).
cnf(i_0_73,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c2_1(X3)
| c3_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X2)
| ~ c3_1(X3)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_73) ).
cnf(i_0_72,negated_conjecture,
( hskp28
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_72) ).
cnf(i_0_43,negated_conjecture,
( hskp16
| c3_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_43) ).
cnf(i_0_31,negated_conjecture,
( hskp16
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_31) ).
cnf(i_0_25,negated_conjecture,
( hskp13
| c1_1(X1)
| c1_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_25) ).
cnf(i_0_68,negated_conjecture,
( hskp11
| c1_1(X1)
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_68) ).
cnf(i_0_59,negated_conjecture,
( hskp7
| c2_1(X1)
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_59) ).
cnf(i_0_52,negated_conjecture,
( hskp10
| c2_1(X1)
| c3_1(X1)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_52) ).
cnf(i_0_65,negated_conjecture,
( hskp6
| c2_1(X1)
| c2_1(X2)
| c3_1(X2)
| c0_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_65) ).
cnf(i_0_48,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_48) ).
cnf(i_0_123,negated_conjecture,
( c0_1(a711)
| ~ hskp20 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_123) ).
cnf(i_0_122,negated_conjecture,
( c1_1(a711)
| ~ hskp20 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_122) ).
cnf(i_0_3,negated_conjecture,
( hskp0
| hskp16
| hskp29 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rua54mvs/input.p',i_0_3) ).
cnf(c_0_296,negated_conjecture,
( ndr1_0
| ~ hskp22 ),
i_0_116 ).
cnf(c_0_297,negated_conjecture,
( hskp0
| hskp8
| hskp22 ),
i_0_2 ).
cnf(c_0_298,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
i_0_204 ).
cnf(c_0_299,negated_conjecture,
( ndr1_0
| ~ hskp8 ),
i_0_172 ).
fof(c_0_300,plain,
( ~ epred3_0
<=> ! [X2] :
( ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_301,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_298]),c_0_299]) ).
fof(c_0_302,plain,
( ~ epred23_0
<=> ! [X1] :
( c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_303,negated_conjecture,
( epred3_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_300]),c_0_301])]) ).
cnf(c_0_304,negated_conjecture,
( c3_1(a753)
| ~ hskp30 ),
i_0_81 ).
cnf(c_0_305,negated_conjecture,
( c2_1(a753)
| ~ hskp30 ),
i_0_82 ).
cnf(c_0_306,negated_conjecture,
( c0_1(a753)
| ~ hskp30 ),
i_0_83 ).
fof(c_0_307,plain,
( ~ epred35_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_308,negated_conjecture,
( epred23_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_302]) ).
cnf(c_0_309,negated_conjecture,
( c3_1(a683)
| ~ hskp11 ),
i_0_158 ).
cnf(c_0_310,negated_conjecture,
( c0_1(a683)
| ~ hskp11 ),
i_0_159 ).
cnf(c_0_311,negated_conjecture,
( ~ hskp11
| ~ c2_1(a683) ),
i_0_157 ).
cnf(c_0_312,negated_conjecture,
( epred3_0
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_305]),c_0_306]) ).
cnf(c_0_313,negated_conjecture,
( hskp11
| hskp28
| hskp30 ),
i_0_9 ).
fof(c_0_314,plain,
( ~ epred4_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_315,negated_conjecture,
( epred35_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_307]) ).
cnf(c_0_316,negated_conjecture,
( c3_1(a678)
| ~ hskp28 ),
i_0_89 ).
cnf(c_0_317,negated_conjecture,
( c0_1(a678)
| ~ hskp28 ),
i_0_91 ).
cnf(c_0_318,negated_conjecture,
( epred23_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_310]),c_0_311]) ).
cnf(c_0_319,negated_conjecture,
( epred3_0
| hskp28
| hskp11 ),
inference(spm,[status(thm)],[c_0_312,c_0_313]) ).
fof(c_0_320,plain,
( ~ epred2_0
<=> ! [X1] :
( c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_321,negated_conjecture,
( epred4_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_314]) ).
cnf(c_0_322,negated_conjecture,
( c1_1(a678)
| ~ hskp28 ),
i_0_90 ).
cnf(c_0_323,negated_conjecture,
( epred35_0
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_304]),c_0_305]),c_0_306]) ).
cnf(c_0_324,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X2) ),
i_0_12 ).
cnf(c_0_325,negated_conjecture,
( epred3_0
| ~ c2_1(a678)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_316]),c_0_317]) ).
cnf(c_0_326,negated_conjecture,
( epred23_0
| c2_1(a678)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_316]),c_0_317]) ).
cnf(c_0_327,negated_conjecture,
( epred23_0
| epred3_0
| hskp28 ),
inference(spm,[status(thm)],[c_0_318,c_0_319]) ).
fof(c_0_328,plain,
( ~ epred40_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_329,plain,
( ~ epred27_0
<=> ! [X1] :
( c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_330,negated_conjecture,
( epred2_0
| c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_320]) ).
fof(c_0_331,plain,
( ~ epred39_0
<=> ! [X1] :
( hskp16
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_332,plain,
( ~ epred37_0
<=> ! [X1] :
( c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_333,plain,
( ~ epred7_0
<=> ! [X1] :
( hskp6
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_334,plain,
( ~ epred28_0
<=> ! [X2] :
( hskp12
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_335,negated_conjecture,
( epred4_0
| ~ c2_1(a678)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_316]),c_0_322]) ).
cnf(c_0_336,negated_conjecture,
( epred35_0
| hskp28
| hskp11 ),
inference(spm,[status(thm)],[c_0_323,c_0_313]) ).
cnf(c_0_337,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_324,c_0_300]),c_0_314]) ).
cnf(c_0_338,negated_conjecture,
( epred23_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_327]) ).
cnf(c_0_339,negated_conjecture,
( epred40_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_328]) ).
cnf(c_0_340,negated_conjecture,
( epred27_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_329]) ).
fof(c_0_341,plain,
( ~ epred1_0
<=> ! [X2] :
( c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_342,negated_conjecture,
( epred4_0
| ~ c1_1(a753)
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_304]),c_0_305]) ).
cnf(c_0_343,negated_conjecture,
( epred2_0
| c1_1(a753)
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_304]),c_0_306]) ).
cnf(c_0_344,negated_conjecture,
( c3_1(a674)
| ~ hskp6 ),
i_0_178 ).
cnf(c_0_345,negated_conjecture,
( ~ hskp6
| ~ c1_1(a674) ),
i_0_177 ).
cnf(c_0_346,negated_conjecture,
( epred39_0
| c2_1(X1)
| c1_1(X1)
| hskp16
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_331]),c_0_301])]) ).
cnf(c_0_347,negated_conjecture,
( c3_1(a702)
| ~ hskp16 ),
i_0_138 ).
cnf(c_0_348,negated_conjecture,
( c2_1(a702)
| ~ hskp16 ),
i_0_139 ).
cnf(c_0_349,negated_conjecture,
( ~ hskp16
| ~ c1_1(a702) ),
i_0_137 ).
cnf(c_0_350,negated_conjecture,
( ~ hskp0
| ~ c3_1(a668) ),
i_0_201 ).
cnf(c_0_351,negated_conjecture,
( epred37_0
| c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_332]) ).
cnf(c_0_352,negated_conjecture,
( c1_1(a668)
| ~ hskp0 ),
i_0_203 ).
cnf(c_0_353,negated_conjecture,
( epred7_0
| c0_1(X1)
| c2_1(X1)
| hskp6
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_333]),c_0_301])]) ).
cnf(c_0_354,negated_conjecture,
( ~ hskp0
| ~ c2_1(a668) ),
i_0_202 ).
fof(c_0_355,plain,
( ~ epred43_0
<=> ! [X1] :
( c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_356,plain,
( ~ epred51_0
<=> ! [X3] :
( c2_1(X3)
| ~ c1_1(X3)
| ~ c3_1(X3) ) ),
introduced(definition) ).
fof(c_0_357,plain,
( ~ epred14_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_358,plain,
( ~ epred29_0
<=> ! [X2] :
( hskp13
| c1_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_359,negated_conjecture,
( epred28_0
| c0_1(X1)
| c3_1(X1)
| hskp12
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_334]),c_0_301])]) ).
cnf(c_0_360,negated_conjecture,
( c1_1(a762)
| ~ hskp26 ),
i_0_99 ).
cnf(c_0_361,negated_conjecture,
( ~ hskp26
| ~ c3_1(a762) ),
i_0_97 ).
cnf(c_0_362,negated_conjecture,
( ~ hskp26
| ~ c0_1(a762) ),
i_0_98 ).
cnf(c_0_363,negated_conjecture,
( hskp12
| c2_1(X1)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
i_0_55 ).
cnf(c_0_364,negated_conjecture,
( epred23_0
| epred4_0
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_335,c_0_326]) ).
cnf(c_0_365,negated_conjecture,
( epred35_0
| epred23_0
| hskp28 ),
inference(spm,[status(thm)],[c_0_318,c_0_336]) ).
cnf(c_0_366,negated_conjecture,
( epred23_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_337,c_0_338]) ).
fof(c_0_367,plain,
( ~ epred26_0
<=> ! [X2] :
( hskp11
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_368,plain,
( ~ epred18_0
<=> ! [X2] :
( c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_369,negated_conjecture,
( epred40_0
| ~ c1_1(a753)
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_304]),c_0_306]) ).
cnf(c_0_370,negated_conjecture,
( epred40_0
| ~ c1_1(a683)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_309]),c_0_310]) ).
cnf(c_0_371,negated_conjecture,
( epred2_0
| c1_1(a683)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_309]),c_0_310]) ).
fof(c_0_372,plain,
( ~ epred8_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_373,negated_conjecture,
( epred27_0
| c1_1(a753)
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_304]),c_0_305]) ).
cnf(c_0_374,negated_conjecture,
( epred1_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_341]),c_0_301])]) ).
cnf(c_0_375,negated_conjecture,
( c2_1(a710)
| ~ hskp19 ),
i_0_126 ).
cnf(c_0_376,negated_conjecture,
( c1_1(a710)
| ~ hskp19 ),
i_0_127 ).
cnf(c_0_377,negated_conjecture,
( ~ hskp19
| ~ c0_1(a710) ),
i_0_125 ).
cnf(c_0_378,negated_conjecture,
( epred4_0
| epred2_0
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_342,c_0_343]) ).
fof(c_0_379,plain,
( ~ epred10_0
<=> ! [X2] :
( c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_380,plain,
( ~ epred56_0
<=> ! [X3] :
( c3_1(X3)
| c0_1(X3)
| ~ ndr1_0
| ~ c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_381,negated_conjecture,
( epred27_0
| ~ c2_1(a674)
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_344]),c_0_345]) ).
cnf(c_0_382,negated_conjecture,
( epred39_0
| c2_1(a674)
| hskp16
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_344]),c_0_345]) ).
cnf(c_0_383,negated_conjecture,
( epred27_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_347]),c_0_348]),c_0_349]) ).
cnf(c_0_384,negated_conjecture,
( epred37_0
| ~ c0_1(a668)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_352]) ).
cnf(c_0_385,negated_conjecture,
( epred7_0
| c0_1(a668)
| hskp6
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_352]),c_0_354]) ).
cnf(c_0_386,negated_conjecture,
( epred43_0
| c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_355]) ).
cnf(c_0_387,negated_conjecture,
( epred51_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_356]) ).
cnf(c_0_388,negated_conjecture,
( epred14_0
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_357]) ).
cnf(c_0_389,negated_conjecture,
( hskp8
| hskp9
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ),
i_0_71 ).
cnf(c_0_390,negated_conjecture,
( hskp15
| hskp29
| c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
i_0_26 ).
cnf(c_0_391,negated_conjecture,
( hskp19
| hskp20
| c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
i_0_27 ).
cnf(c_0_392,negated_conjecture,
( hskp10
| hskp28
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
i_0_18 ).
cnf(c_0_393,negated_conjecture,
( hskp14
| hskp17
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
i_0_17 ).
cnf(c_0_394,negated_conjecture,
( hskp19
| hskp24
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1) ),
i_0_21 ).
fof(c_0_395,plain,
( ~ epred55_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_396,plain,
( ~ epred53_0
<=> ! [X2] :
( c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_397,plain,
( ~ epred46_0
<=> ! [X1] :
( hskp28
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_398,plain,
( ~ epred52_0
<=> ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_399,plain,
( ~ epred49_0
<=> ! [X2] :
( c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_400,plain,
( ~ epred41_0
<=> ! [X2] :
( hskp16
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_401,negated_conjecture,
( ~ hskp13
| ~ c3_1(a688) ),
i_0_149 ).
cnf(c_0_402,negated_conjecture,
( c1_1(a688)
| ~ hskp13 ),
i_0_150 ).
cnf(c_0_403,negated_conjecture,
( c0_1(a688)
| ~ hskp13 ),
i_0_151 ).
cnf(c_0_404,negated_conjecture,
( epred29_0
| c3_1(X1)
| c1_1(X1)
| hskp13
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_358]),c_0_301])]) ).
cnf(c_0_405,negated_conjecture,
( c2_1(a680)
| ~ hskp9 ),
i_0_167 ).
cnf(c_0_406,negated_conjecture,
( ~ hskp9
| ~ c1_1(a680) ),
i_0_166 ).
cnf(c_0_407,negated_conjecture,
( ~ hskp9
| ~ c3_1(a680) ),
i_0_165 ).
cnf(c_0_408,negated_conjecture,
( epred28_0
| hskp12
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_361]),c_0_362]) ).
cnf(c_0_409,negated_conjecture,
( hskp12
| hskp26
| hskp30 ),
i_0_6 ).
cnf(c_0_410,negated_conjecture,
( ~ epred28_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_363,c_0_334]),c_0_302]) ).
cnf(c_0_411,negated_conjecture,
( epred35_0
| epred23_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_365]),c_0_366]) ).
cnf(c_0_412,negated_conjecture,
( c3_1(a681)
| ~ hskp10 ),
i_0_162 ).
cnf(c_0_413,negated_conjecture,
( c2_1(a681)
| ~ hskp10 ),
i_0_163 ).
cnf(c_0_414,negated_conjecture,
( epred26_0
| c0_1(X1)
| c1_1(X1)
| hskp11
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_367]),c_0_301])]) ).
cnf(c_0_415,negated_conjecture,
( ~ hskp10
| ~ c0_1(a681) ),
i_0_161 ).
fof(c_0_416,plain,
( ~ epred22_0
<=> ! [X2] :
( hskp7
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_417,plain,
( ~ epred13_0
<=> ! [X2] :
( hskp10
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_418,plain,
( ~ epred50_0
<=> ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_419,negated_conjecture,
( c3_1(a675)
| ~ hskp7 ),
i_0_174 ).
cnf(c_0_420,negated_conjecture,
( c1_1(a675)
| ~ hskp7 ),
i_0_175 ).
cnf(c_0_421,negated_conjecture,
( epred18_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_368]) ).
cnf(c_0_422,negated_conjecture,
( epred40_0
| epred2_0
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_369,c_0_343]) ).
cnf(c_0_423,negated_conjecture,
( epred40_0
| epred2_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_370,c_0_371]) ).
cnf(c_0_424,negated_conjecture,
( epred8_0
| c0_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_372]) ).
cnf(c_0_425,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c3_1(X3)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X3)
| ~ c0_1(X2) ),
i_0_24 ).
cnf(c_0_426,negated_conjecture,
( epred27_0
| epred4_0
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_342,c_0_373]) ).
cnf(c_0_427,negated_conjecture,
( epred1_0
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_376]),c_0_377]) ).
cnf(c_0_428,negated_conjecture,
( hskp9
| hskp19
| hskp28 ),
i_0_8 ).
cnf(c_0_429,negated_conjecture,
( epred4_0
| epred2_0
| hskp28
| hskp11 ),
inference(spm,[status(thm)],[c_0_378,c_0_313]) ).
cnf(c_0_430,negated_conjecture,
( ~ hskp7
| ~ c2_1(a675) ),
i_0_173 ).
cnf(c_0_431,negated_conjecture,
( epred10_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_379]) ).
cnf(c_0_432,negated_conjecture,
( epred56_0
| c0_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_380]),c_0_301])]) ).
cnf(c_0_433,negated_conjecture,
( epred39_0
| epred27_0
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_382]),c_0_383]) ).
cnf(c_0_434,negated_conjecture,
( epred37_0
| epred7_0
| hskp6
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_384,c_0_385]) ).
cnf(c_0_435,negated_conjecture,
( epred43_0
| epred4_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_386]) ).
cnf(c_0_436,negated_conjecture,
( epred51_0
| c2_1(a678)
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_316]),c_0_322]) ).
cnf(c_0_437,negated_conjecture,
( ~ hskp20
| ~ c2_1(a711) ),
i_0_121 ).
cnf(c_0_438,negated_conjecture,
( epred23_0
| epred14_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_308,c_0_388]) ).
cnf(c_0_439,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp9
| hskp8
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_389,c_0_301])]) ).
cnf(c_0_440,negated_conjecture,
( c3_1(X1)
| c1_1(X1)
| hskp29
| hskp15
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_390,c_0_301])]) ).
cnf(c_0_441,negated_conjecture,
( c0_1(a731)
| ~ hskp24 ),
i_0_107 ).
cnf(c_0_442,negated_conjecture,
( c3_1(X1)
| c1_1(X1)
| hskp20
| hskp19
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_391,c_0_301])]) ).
cnf(c_0_443,negated_conjecture,
( c2_1(X1)
| hskp28
| hskp10
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_392,c_0_301])]) ).
cnf(c_0_444,negated_conjecture,
( c2_1(X1)
| hskp17
| hskp14
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_393,c_0_301])]) ).
cnf(c_0_445,negated_conjecture,
( c1_1(X1)
| hskp24
| hskp19
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_394,c_0_301])]) ).
cnf(c_0_446,negated_conjecture,
( epred55_0
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_395]),c_0_301])]) ).
cnf(c_0_447,negated_conjecture,
( c3_1(a684)
| ~ hskp12 ),
i_0_155 ).
cnf(c_0_448,negated_conjecture,
( ~ hskp12
| ~ c2_1(a684) ),
i_0_153 ).
cnf(c_0_449,negated_conjecture,
( epred53_0
| c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_396]),c_0_301])]) ).
cnf(c_0_450,negated_conjecture,
( epred46_0
| c0_1(X1)
| c1_1(X1)
| hskp28
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_397]),c_0_301])]) ).
cnf(c_0_451,negated_conjecture,
( c2_1(a700)
| ~ hskp15 ),
i_0_143 ).
cnf(c_0_452,negated_conjecture,
( epred52_0
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_398]),c_0_301])]) ).
cnf(c_0_453,negated_conjecture,
( ~ hskp15
| ~ c3_1(a700) ),
i_0_141 ).
cnf(c_0_454,negated_conjecture,
( epred49_0
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_399]),c_0_301])]) ).
cnf(c_0_455,negated_conjecture,
( epred41_0
| c0_1(X1)
| hskp16
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_400]),c_0_301])]) ).
cnf(c_0_456,negated_conjecture,
( epred37_0
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_351]),c_0_402]),c_0_403]) ).
cnf(c_0_457,negated_conjecture,
( epred29_0
| hskp13
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_405]),c_0_406]),c_0_407]) ).
cnf(c_0_458,negated_conjecture,
( epred28_0
| hskp30
| hskp12 ),
inference(spm,[status(thm)],[c_0_408,c_0_409]) ).
cnf(c_0_459,negated_conjecture,
( epred35_0
| ~ epred28_0 ),
inference(spm,[status(thm)],[c_0_410,c_0_411]) ).
cnf(c_0_460,negated_conjecture,
( epred4_0
| ~ c1_1(a681)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_412]),c_0_413]) ).
cnf(c_0_461,negated_conjecture,
( epred26_0
| c1_1(a681)
| hskp11
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_412]),c_0_415]) ).
cnf(c_0_462,negated_conjecture,
( epred22_0
| c0_1(X1)
| c2_1(X1)
| hskp7
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_416]),c_0_301])]) ).
cnf(c_0_463,negated_conjecture,
( ~ hskp12
| ~ c0_1(a684) ),
i_0_154 ).
cnf(c_0_464,negated_conjecture,
( epred13_0
| c0_1(X1)
| c3_1(X1)
| hskp10
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_417]),c_0_301])]) ).
cnf(c_0_465,negated_conjecture,
( ~ hskp15
| ~ c0_1(a700) ),
i_0_142 ).
cnf(c_0_466,negated_conjecture,
( ~ hskp24
| ~ c3_1(a731) ),
i_0_105 ).
cnf(c_0_467,negated_conjecture,
( epred50_0
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_418]) ).
cnf(c_0_468,negated_conjecture,
( ~ hskp24
| ~ c1_1(a731) ),
i_0_106 ).
cnf(c_0_469,negated_conjecture,
( ~ hskp14
| ~ c3_1(a696) ),
i_0_145 ).
cnf(c_0_470,negated_conjecture,
( c2_1(a696)
| ~ hskp14 ),
i_0_146 ).
cnf(c_0_471,negated_conjecture,
( c0_1(a696)
| ~ hskp14 ),
i_0_147 ).
cnf(c_0_472,negated_conjecture,
( epred40_0
| ~ c0_1(a675)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_419]),c_0_420]) ).
cnf(c_0_473,negated_conjecture,
( epred18_0
| c0_1(a675)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_419]),c_0_420]) ).
cnf(c_0_474,negated_conjecture,
( epred40_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_316]),c_0_322]),c_0_317]) ).
cnf(c_0_475,negated_conjecture,
( epred40_0
| epred2_0
| hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_313]),c_0_423]) ).
cnf(c_0_476,negated_conjecture,
( epred8_0
| c0_1(a668)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_424]),c_0_354]) ).
cnf(c_0_477,negated_conjecture,
( ~ epred52_0
| ~ epred43_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_425,c_0_398]),c_0_355]),c_0_302]) ).
cnf(c_0_478,negated_conjecture,
( epred27_0
| epred4_0
| hskp28
| hskp11 ),
inference(spm,[status(thm)],[c_0_426,c_0_313]) ).
cnf(c_0_479,negated_conjecture,
( epred1_0
| hskp28
| hskp9 ),
inference(spm,[status(thm)],[c_0_427,c_0_428]) ).
cnf(c_0_480,negated_conjecture,
( epred23_0
| epred4_0
| epred2_0
| hskp28 ),
inference(spm,[status(thm)],[c_0_318,c_0_429]) ).
cnf(c_0_481,negated_conjecture,
( epred10_0
| ~ c0_1(a675)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_431]),c_0_420]) ).
cnf(c_0_482,negated_conjecture,
( c3_1(a679)
| ~ hskp8 ),
i_0_170 ).
cnf(c_0_483,negated_conjecture,
( c1_1(a679)
| ~ hskp8 ),
i_0_171 ).
cnf(c_0_484,negated_conjecture,
( ~ hskp8
| ~ c0_1(a679) ),
i_0_169 ).
cnf(c_0_485,negated_conjecture,
( c3_1(a725)
| ~ hskp29 ),
i_0_85 ).
cnf(c_0_486,negated_conjecture,
( c1_1(a725)
| ~ hskp29 ),
i_0_87 ).
cnf(c_0_487,negated_conjecture,
( c2_1(a725)
| ~ hskp29 ),
i_0_86 ).
cnf(c_0_488,negated_conjecture,
( hskp9
| hskp13
| c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0 ),
i_0_63 ).
cnf(c_0_489,negated_conjecture,
( ~ hskp17
| ~ c0_1(a703) ),
i_0_134 ).
cnf(c_0_490,negated_conjecture,
( epred56_0
| epred18_0
| c0_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_421,c_0_432]) ).
cnf(c_0_491,negated_conjecture,
( c1_1(a703)
| ~ hskp17 ),
i_0_135 ).
cnf(c_0_492,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c2_1(X3)
| ~ c3_1(X3)
| ~ c3_1(X2) ),
i_0_62 ).
cnf(c_0_493,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X3)
| ~ c3_1(X3)
| ~ c3_1(X1)
| ~ c0_1(X3)
| ~ c0_1(X2) ),
i_0_67 ).
cnf(c_0_494,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X3)
| ~ c2_1(X1)
| ~ c3_1(X3)
| ~ c3_1(X1)
| ~ c0_1(X3) ),
i_0_60 ).
cnf(c_0_495,negated_conjecture,
( c2_1(X1)
| c2_1(X2)
| c3_1(X3)
| c0_1(X3)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X3)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
i_0_56 ).
cnf(c_0_496,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c0_1(X3)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c3_1(X2)
| ~ c3_1(X3)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
i_0_69 ).
cnf(c_0_497,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c2_1(X3)
| c3_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X2)
| ~ c3_1(X3)
| ~ c0_1(X1) ),
i_0_73 ).
cnf(c_0_498,negated_conjecture,
( hskp28
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X2) ),
i_0_72 ).
cnf(c_0_499,negated_conjecture,
( hskp16
| c3_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X1) ),
i_0_43 ).
cnf(c_0_500,negated_conjecture,
( hskp16
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
i_0_31 ).
cnf(c_0_501,negated_conjecture,
( hskp13
| c1_1(X1)
| c1_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1) ),
i_0_25 ).
cnf(c_0_502,negated_conjecture,
( hskp11
| c1_1(X1)
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
i_0_68 ).
cnf(c_0_503,negated_conjecture,
( hskp7
| c2_1(X1)
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X1) ),
i_0_59 ).
cnf(c_0_504,negated_conjecture,
( hskp10
| c2_1(X1)
| c3_1(X1)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2) ),
i_0_52 ).
cnf(c_0_505,negated_conjecture,
( hskp6
| c2_1(X1)
| c2_1(X2)
| c3_1(X2)
| c0_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1) ),
i_0_65 ).
cnf(c_0_506,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
i_0_48 ).
cnf(c_0_507,negated_conjecture,
( epred39_0
| epred27_0
| epred37_0
| epred7_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_433,c_0_434]) ).
cnf(c_0_508,negated_conjecture,
( epred43_0
| epred4_0
| epred51_0
| ~ c0_1(a678)
| ~ c1_1(a678)
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_435,c_0_436]) ).
cnf(c_0_509,negated_conjecture,
( epred23_0
| epred14_0
| ~ hskp20
| ~ c0_1(a711)
| ~ c1_1(a711) ),
inference(spm,[status(thm)],[c_0_437,c_0_438]) ).
cnf(c_0_510,negated_conjecture,
( c0_1(a702)
| c1_1(a702)
| hskp9
| hskp8
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_439,c_0_348]) ).
cnf(c_0_511,negated_conjecture,
( c3_1(a731)
| c1_1(a731)
| hskp29
| hskp15
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_440,c_0_441]) ).
cnf(c_0_512,negated_conjecture,
( c3_1(a731)
| c1_1(a731)
| hskp20
| hskp19
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_442,c_0_441]) ).
cnf(c_0_513,negated_conjecture,
( c2_1(a675)
| hskp28
| hskp10
| ~ c1_1(a675)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_443,c_0_419]) ).
cnf(c_0_514,negated_conjecture,
( c2_1(a675)
| hskp17
| hskp14
| ~ c1_1(a675)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_444,c_0_419]) ).
cnf(c_0_515,negated_conjecture,
( c1_1(a680)
| hskp24
| hskp19
| ~ c0_1(a680)
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_445,c_0_405]) ).
cnf(c_0_516,negated_conjecture,
( c1_1(a753)
| hskp24
| hskp19
| ~ c0_1(a753)
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_445,c_0_305]) ).
cnf(c_0_517,negated_conjecture,
( epred55_0
| c0_1(a681)
| c1_1(a681)
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_446,c_0_412]) ).
cnf(c_0_518,negated_conjecture,
( epred55_0
| c0_1(a702)
| c1_1(a702)
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_446,c_0_347]) ).
cnf(c_0_519,negated_conjecture,
( epred55_0
| c0_1(a684)
| c1_1(a684)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_446,c_0_447]) ).
cnf(c_0_520,negated_conjecture,
( epred53_0
| c0_1(a684)
| ~ hskp12
| ~ c1_1(a684) ),
inference(spm,[status(thm)],[c_0_448,c_0_449]) ).
cnf(c_0_521,negated_conjecture,
( epred46_0
| c0_1(a680)
| c1_1(a680)
| hskp28
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_450,c_0_405]) ).
cnf(c_0_522,negated_conjecture,
( epred46_0
| c0_1(a700)
| c1_1(a700)
| hskp28
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_450,c_0_451]) ).
cnf(c_0_523,negated_conjecture,
( epred52_0
| c1_1(a680)
| ~ hskp9
| ~ c2_1(a680) ),
inference(spm,[status(thm)],[c_0_407,c_0_452]) ).
cnf(c_0_524,negated_conjecture,
( epred52_0
| c1_1(a700)
| ~ hskp15
| ~ c2_1(a700) ),
inference(spm,[status(thm)],[c_0_453,c_0_452]) ).
cnf(c_0_525,negated_conjecture,
( epred49_0
| c0_1(a700)
| c1_1(a700)
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_454,c_0_451]) ).
cnf(c_0_526,negated_conjecture,
( epred41_0
| c0_1(a684)
| hskp16
| ~ c1_1(a684)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_455,c_0_447]) ).
cnf(c_0_527,negated_conjecture,
( epred39_0
| c1_1(a684)
| hskp16
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_447]),c_0_448]) ).
cnf(c_0_528,negated_conjecture,
( epred37_0
| epred29_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_456,c_0_457]) ).
cnf(c_0_529,negated_conjecture,
( epred35_0
| hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_458]),c_0_459]) ).
cnf(c_0_530,negated_conjecture,
( epred28_0
| epred3_0
| hskp12 ),
inference(spm,[status(thm)],[c_0_312,c_0_458]) ).
cnf(c_0_531,negated_conjecture,
( epred26_0
| epred4_0
| hskp11
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_460,c_0_461]) ).
cnf(c_0_532,negated_conjecture,
( epred22_0
| hskp7
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_447]),c_0_448]),c_0_463]) ).
cnf(c_0_533,negated_conjecture,
( epred13_0
| hskp10
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_451]),c_0_453]),c_0_465]) ).
cnf(c_0_534,negated_conjecture,
( epred51_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_419]),c_0_420]),c_0_430]) ).
cnf(c_0_535,negated_conjecture,
( epred50_0
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_467]),c_0_441]),c_0_468]) ).
cnf(c_0_536,negated_conjecture,
( epred43_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_386]),c_0_470]),c_0_471]) ).
cnf(c_0_537,negated_conjecture,
( epred40_0
| epred18_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_472,c_0_473]) ).
cnf(c_0_538,negated_conjecture,
( epred40_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_474,c_0_475]) ).
cnf(c_0_539,negated_conjecture,
( epred37_0
| epred8_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_384,c_0_476]) ).
cnf(c_0_540,negated_conjecture,
( epred35_0
| ~ epred52_0
| ~ epred43_0 ),
inference(spm,[status(thm)],[c_0_477,c_0_411]) ).
cnf(c_0_541,negated_conjecture,
( epred35_0
| ~ c0_1(a702)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_347]),c_0_348]) ).
cnf(c_0_542,negated_conjecture,
( epred27_0
| epred23_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_478]),c_0_364]),c_0_366]) ).
cnf(c_0_543,negated_conjecture,
( epred23_0
| epred1_0
| hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_479]),c_0_366]) ).
cnf(c_0_544,negated_conjecture,
( epred23_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_480]),c_0_366]) ).
cnf(c_0_545,negated_conjecture,
( epred18_0
| epred10_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_481,c_0_473]) ).
cnf(c_0_546,negated_conjecture,
( epred18_0
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_482]),c_0_483]),c_0_484]) ).
cnf(c_0_547,negated_conjecture,
( epred18_0
| ~ c1_1(a684)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_447]),c_0_463]) ).
cnf(c_0_548,negated_conjecture,
( epred4_0
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_485]),c_0_486]),c_0_487]) ).
cnf(c_0_549,negated_conjecture,
( epred1_0
| ~ c1_1(a681)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_413]),c_0_415]) ).
cnf(c_0_550,negated_conjecture,
( epred1_0
| ~ c1_1(a700)
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_451]),c_0_465]) ).
cnf(c_0_551,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp13
| hskp9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_488,c_0_301])]) ).
cnf(c_0_552,negated_conjecture,
( epred56_0
| epred18_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_490]),c_0_491]) ).
cnf(c_0_553,negated_conjecture,
( ~ epred53_0
| ~ epred18_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_492,c_0_396]),c_0_368]),c_0_314]) ).
cnf(c_0_554,negated_conjecture,
( ~ epred55_0
| ~ epred35_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_493,c_0_395]),c_0_379]),c_0_307]) ).
cnf(c_0_555,negated_conjecture,
( ~ epred53_0
| ~ epred35_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_494,c_0_396]),c_0_329]),c_0_307]) ).
cnf(c_0_556,negated_conjecture,
( ~ epred56_0
| ~ epred51_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_495,c_0_380]),c_0_356]),c_0_379]) ).
cnf(c_0_557,negated_conjecture,
( ~ epred55_0
| ~ epred23_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_496,c_0_395]),c_0_368]),c_0_302]) ).
cnf(c_0_558,negated_conjecture,
( ~ epred51_0
| ~ epred50_0
| ~ epred49_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_497,c_0_399]),c_0_418]),c_0_356]) ).
cnf(c_0_559,negated_conjecture,
( ~ epred46_0
| ~ epred35_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_498,c_0_397]),c_0_307]) ).
cnf(c_0_560,negated_conjecture,
( ~ epred41_0
| ~ epred37_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_499,c_0_400]),c_0_332]) ).
cnf(c_0_561,negated_conjecture,
( ~ epred40_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_500,c_0_331]),c_0_328]) ).
cnf(c_0_562,negated_conjecture,
( ~ epred29_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_501,c_0_358]),c_0_329]) ).
cnf(c_0_563,negated_conjecture,
( ~ epred27_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_502,c_0_367]),c_0_329]) ).
cnf(c_0_564,negated_conjecture,
( ~ epred23_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_503,c_0_416]),c_0_302]) ).
cnf(c_0_565,negated_conjecture,
( ~ epred14_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_504,c_0_417]),c_0_357]) ).
cnf(c_0_566,negated_conjecture,
( ~ epred8_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_505,c_0_333]),c_0_372]) ).
cnf(c_0_567,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_506,c_0_341]),c_0_320]) ).
cnf(c_0_568,negated_conjecture,
( c0_1(a711)
| ~ hskp20 ),
i_0_123 ).
cnf(c_0_569,negated_conjecture,
( c1_1(a711)
| ~ hskp20 ),
i_0_122 ).
cnf(c_0_570,negated_conjecture,
( hskp0
| hskp16
| hskp29 ),
i_0_3 ).
cnf(c_0_571,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_507,c_0_508,c_0_509,c_0_510,c_0_511,c_0_512,c_0_513,c_0_514,c_0_515,c_0_516,c_0_517,c_0_518,c_0_519,c_0_520,c_0_521,c_0_522,c_0_523,c_0_524,c_0_525,c_0_526,c_0_527,c_0_528,c_0_529,c_0_530,c_0_458,c_0_531,c_0_532,c_0_533,c_0_534,c_0_535,c_0_536,c_0_537,c_0_538,c_0_474,c_0_539,c_0_456,c_0_540,c_0_411,c_0_541,c_0_383,c_0_542,c_0_543,c_0_544,c_0_366,c_0_364,c_0_318,c_0_545,c_0_546,c_0_547,c_0_548,c_0_378,c_0_342,c_0_427,c_0_549,c_0_550,c_0_551,c_0_552,c_0_351,c_0_553,c_0_554,c_0_555,c_0_556,c_0_557,c_0_477,c_0_558,c_0_559,c_0_560,c_0_561,c_0_562,c_0_410,c_0_563,c_0_564,c_0_565,c_0_566,c_0_337,c_0_567,c_0_466,c_0_468,c_0_349,c_0_465,c_0_463,c_0_415,c_0_406,c_0_430,c_0_350,c_0_354,c_0_306,c_0_317,c_0_568,c_0_451,c_0_405,c_0_322,c_0_569,c_0_420,c_0_352,c_0_570]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN511+1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n009.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 : Tue Jul 12 08:52:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 15.33/3.31 # ENIGMATIC: Solved by autoschedule:
% 15.33/3.31 # No SInE strategy applied
% 15.33/3.31 # Trying AutoSched0 for 150 seconds
% 15.33/3.31 # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 15.33/3.31 # and selection function SelectMaxLComplexAvoidPosPred.
% 15.33/3.31 #
% 15.33/3.31 # Preprocessing time : 0.028 s
% 15.33/3.31 # SatCheck found unsatisfiable ground set
% 15.33/3.31
% 15.33/3.31 # Proof found!
% 15.33/3.31 # SZS status Theorem
% 15.33/3.31 # SZS output start CNFRefutation
% See solution above
% 15.33/3.31 # Training examples: 0 positive, 0 negative
% 15.33/3.31
% 15.33/3.31 # -------------------------------------------------
% 15.33/3.31 # User time : 0.951 s
% 15.33/3.31 # System time : 0.029 s
% 15.33/3.31 # Total time : 0.980 s
% 15.33/3.31 # Maximum resident set size: 7120 pages
% 15.33/3.31
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