TSTP Solution File: SYN486+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SYN486+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 04:53:57 EDT 2022
% Result : Theorem 16.05s 3.37s
% Output : CNFRefutation 16.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 177
% Syntax : Number of formulae : 581 ( 2 unt; 0 def)
% Number of atoms : 2324 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2805 (1062 ~;1696 |; 0 &)
% ( 47 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 79 ( 78 usr; 75 prp; 0-1 aty)
% Number of functors : 26 ( 26 usr; 26 con; 0-0 aty)
% Number of variables : 287 ( 0 sgn 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_200,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_200) ).
cnf(i_0_6,negated_conjecture,
( hskp0
| hskp10
| hskp13 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_6) ).
cnf(i_0_160,negated_conjecture,
( ndr1_0
| ~ hskp10 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_160) ).
cnf(i_0_148,negated_conjecture,
( ndr1_0
| ~ hskp13 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_148) ).
cnf(i_0_171,negated_conjecture,
( c2_1(a2182)
| ~ hskp7 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_171) ).
cnf(i_0_169,negated_conjecture,
( ~ hskp7
| ~ c0_1(a2182) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_169) ).
cnf(i_0_170,negated_conjecture,
( c3_1(a2182)
| ~ hskp7 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_170) ).
cnf(i_0_111,negated_conjecture,
( c2_1(a2219)
| ~ hskp22 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_111) ).
cnf(i_0_110,negated_conjecture,
( ~ hskp22
| ~ c1_1(a2219) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_110) ).
cnf(i_0_109,negated_conjecture,
( ~ hskp22
| ~ c3_1(a2219) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_109) ).
cnf(i_0_98,negated_conjecture,
( c3_1(a2265)
| ~ hskp25 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_98) ).
cnf(i_0_99,negated_conjecture,
( c1_1(a2265)
| ~ hskp25 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_99) ).
cnf(i_0_97,negated_conjecture,
( ~ hskp25
| ~ c2_1(a2265) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_97) ).
cnf(i_0_121,negated_conjecture,
( ~ hskp19
| ~ c3_1(a2211) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_121) ).
cnf(i_0_123,negated_conjecture,
( ~ hskp19
| ~ c0_1(a2211) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_123) ).
cnf(i_0_189,negated_conjecture,
( ~ hskp2
| ~ c3_1(a2176) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_189) ).
cnf(i_0_191,negated_conjecture,
( c1_1(a2176)
| ~ hskp2 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_191) ).
cnf(i_0_190,negated_conjecture,
( ~ hskp2
| ~ c0_1(a2176) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_190) ).
cnf(i_0_178,negated_conjecture,
( c3_1(a2180)
| ~ hskp5 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_178) ).
cnf(i_0_179,negated_conjecture,
( c0_1(a2180)
| ~ hskp5 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_179) ).
cnf(i_0_177,negated_conjecture,
( ~ hskp5
| ~ c1_1(a2180) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_177) ).
cnf(i_0_33,negated_conjecture,
( hskp16
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_33) ).
cnf(i_0_143,negated_conjecture,
( c3_1(a2193)
| ~ hskp14 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_143) ).
cnf(i_0_142,negated_conjecture,
( ~ hskp14
| ~ c1_1(a2193) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_142) ).
cnf(i_0_115,negated_conjecture,
( c0_1(a2216)
| ~ hskp21 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_115) ).
cnf(i_0_114,negated_conjecture,
( ~ hskp21
| ~ c2_1(a2216) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_114) ).
cnf(i_0_113,negated_conjecture,
( ~ hskp21
| ~ c3_1(a2216) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_113) ).
cnf(i_0_4,negated_conjecture,
( hskp21
| hskp22
| hskp25 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_4) ).
cnf(i_0_198,negated_conjecture,
( c2_1(a2174)
| ~ hskp0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_198) ).
cnf(i_0_199,negated_conjecture,
( c1_1(a2174)
| ~ hskp0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_199) ).
cnf(i_0_197,negated_conjecture,
( ~ hskp0
| ~ c0_1(a2174) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_197) ).
cnf(i_0_89,negated_conjecture,
( c3_1(a2178)
| ~ hskp27 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_89) ).
cnf(i_0_90,negated_conjecture,
( c2_1(a2178)
| ~ hskp27 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_90) ).
cnf(i_0_91,negated_conjecture,
( c0_1(a2178)
| ~ hskp27 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_91) ).
cnf(i_0_9,negated_conjecture,
( hskp2
| hskp5
| hskp19 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_9) ).
cnf(i_0_134,negated_conjecture,
( ~ hskp16
| ~ c2_1(a2195) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_134) ).
cnf(i_0_135,negated_conjecture,
( ~ hskp16
| ~ c1_1(a2195) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_135) ).
cnf(i_0_48,negated_conjecture,
( hskp17
| hskp29
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_48) ).
cnf(i_0_195,negated_conjecture,
( c2_1(a2175)
| ~ hskp1 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_195) ).
cnf(i_0_194,negated_conjecture,
( ~ hskp1
| ~ c0_1(a2175) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_194) ).
cnf(i_0_159,negated_conjecture,
( c3_1(a2186)
| ~ hskp10 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_159) ).
cnf(i_0_158,negated_conjecture,
( ~ hskp10
| ~ c0_1(a2186) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_158) ).
cnf(i_0_87,negated_conjecture,
( c0_1(a2188)
| ~ hskp28 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_87) ).
cnf(i_0_86,negated_conjecture,
( c1_1(a2188)
| ~ hskp28 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_86) ).
cnf(i_0_30,negated_conjecture,
( hskp0
| hskp15
| c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_30) ).
cnf(i_0_133,negated_conjecture,
( ~ hskp16
| ~ c3_1(a2195) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_133) ).
cnf(i_0_163,negated_conjecture,
( c2_1(a2185)
| ~ hskp9 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_163) ).
cnf(i_0_162,negated_conjecture,
( ~ hskp9
| ~ c0_1(a2185) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_162) ).
cnf(i_0_147,negated_conjecture,
( c0_1(a2191)
| ~ hskp13 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_147) ).
cnf(i_0_146,negated_conjecture,
( ~ hskp13
| ~ c1_1(a2191) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_146) ).
cnf(i_0_193,negated_conjecture,
( ~ hskp1
| ~ c3_1(a2175) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_193) ).
cnf(i_0_130,negated_conjecture,
( c3_1(a2197)
| ~ hskp17 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_130) ).
cnf(i_0_129,negated_conjecture,
( ~ hskp17
| ~ c1_1(a2197) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_129) ).
cnf(i_0_22,negated_conjecture,
( hskp13
| hskp16
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_22) ).
cnf(i_0_122,negated_conjecture,
( ~ hskp19
| ~ c2_1(a2211) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_122) ).
cnf(i_0_34,negated_conjecture,
( hskp1
| hskp30
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_34) ).
cnf(i_0_49,negated_conjecture,
( hskp15
| hskp16
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_49) ).
cnf(i_0_43,negated_conjecture,
( hskp3
| hskp15
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_43) ).
cnf(i_0_18,negated_conjecture,
( hskp9
| hskp29
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_18) ).
cnf(i_0_17,negated_conjecture,
( hskp10
| hskp11
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_17) ).
cnf(i_0_19,negated_conjecture,
( hskp10
| hskp17
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_19) ).
cnf(i_0_25,negated_conjecture,
( hskp13
| hskp16
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_25) ).
cnf(i_0_11,negated_conjecture,
( hskp13
| hskp19
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_11) ).
cnf(i_0_14,negated_conjecture,
( hskp22
| hskp27
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_14) ).
cnf(i_0_131,negated_conjecture,
( c2_1(a2197)
| ~ hskp17 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_131) ).
cnf(i_0_127,negated_conjecture,
( c0_1(a2198)
| ~ hskp18 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_127) ).
cnf(i_0_126,negated_conjecture,
( ~ hskp18
| ~ c1_1(a2198) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_126) ).
cnf(i_0_125,negated_conjecture,
( ~ hskp18
| ~ c2_1(a2198) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_125) ).
cnf(i_0_145,negated_conjecture,
( ~ hskp13
| ~ c3_1(a2191) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_145) ).
cnf(i_0_36,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c0_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X3)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_36) ).
cnf(i_0_70,negated_conjecture,
( hskp2
| c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_70) ).
cnf(i_0_157,negated_conjecture,
( ~ hskp10
| ~ c1_1(a2186) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_157) ).
cnf(i_0_154,negated_conjecture,
( c2_1(a2187)
| ~ hskp11 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_154) ).
cnf(i_0_155,negated_conjecture,
( c0_1(a2187)
| ~ hskp11 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_155) ).
cnf(i_0_153,negated_conjecture,
( ~ hskp11
| ~ c1_1(a2187) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_153) ).
cnf(i_0_138,negated_conjecture,
( c3_1(a2194)
| ~ hskp15 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_138) ).
cnf(i_0_139,negated_conjecture,
( c0_1(a2194)
| ~ hskp15 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_139) ).
cnf(i_0_137,negated_conjecture,
( ~ hskp15
| ~ c2_1(a2194) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_137) ).
cnf(i_0_102,negated_conjecture,
( c3_1(a2262)
| ~ hskp24 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_102) ).
cnf(i_0_103,negated_conjecture,
( c1_1(a2262)
| ~ hskp24 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_103) ).
cnf(i_0_101,negated_conjecture,
( ~ hskp24
| ~ c0_1(a2262) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_101) ).
cnf(i_0_5,negated_conjecture,
( hskp13
| hskp14
| hskp24 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_5) ).
cnf(i_0_81,negated_conjecture,
( c3_1(a2196)
| ~ hskp29 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_81) ).
cnf(i_0_82,negated_conjecture,
( c2_1(a2196)
| ~ hskp29 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_82) ).
cnf(i_0_83,negated_conjecture,
( c1_1(a2196)
| ~ hskp29 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_83) ).
cnf(i_0_77,negated_conjecture,
( c3_1(a2208)
| ~ hskp30 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_77) ).
cnf(i_0_79,negated_conjecture,
( c0_1(a2208)
| ~ hskp30 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_79) ).
cnf(i_0_78,negated_conjecture,
( c1_1(a2208)
| ~ hskp30 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_78) ).
cnf(i_0_187,negated_conjecture,
( ~ hskp3
| ~ c0_1(a2177) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_187) ).
cnf(i_0_167,negated_conjecture,
( c0_1(a2184)
| ~ hskp8 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_167) ).
cnf(i_0_183,negated_conjecture,
( c0_1(a2179)
| ~ hskp4 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_183) ).
cnf(i_0_185,negated_conjecture,
( ~ hskp3
| ~ c3_1(a2177) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_185) ).
cnf(i_0_186,negated_conjecture,
( ~ hskp3
| ~ c1_1(a2177) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_186) ).
cnf(i_0_8,negated_conjecture,
( hskp5
| hskp16
| hskp19 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_8) ).
cnf(i_0_85,negated_conjecture,
( c2_1(a2188)
| ~ hskp28 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_85) ).
cnf(i_0_68,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X3)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_68) ).
cnf(i_0_51,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_51) ).
cnf(i_0_42,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_42) ).
cnf(i_0_47,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X3)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_47) ).
cnf(i_0_73,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c0_1(X3)
| c0_1(X1)
| c3_1(X3)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X3)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_73) ).
cnf(i_0_76,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c0_1(X3)
| c0_1(X1)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X3)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_76) ).
cnf(i_0_64,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c0_1(X3)
| c0_1(X1)
| c3_1(X2)
| c3_1(X3)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X3)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_64) ).
cnf(i_0_62,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c2_1(X1)
| c0_1(X3)
| c0_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_62) ).
cnf(i_0_72,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c1_1(X3)
| c2_1(X2)
| c0_1(X3)
| c3_1(X2)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_72) ).
cnf(i_0_24,negated_conjecture,
( hskp27
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_24) ).
cnf(i_0_16,negated_conjecture,
( hskp7
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_16) ).
cnf(i_0_38,negated_conjecture,
( hskp2
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_38) ).
cnf(i_0_27,negated_conjecture,
( hskp10
| c1_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_27) ).
cnf(i_0_66,negated_conjecture,
( hskp4
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_66) ).
cnf(i_0_41,negated_conjecture,
( hskp29
| c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_41) ).
cnf(i_0_67,negated_conjecture,
( hskp27
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_67) ).
cnf(i_0_46,negated_conjecture,
( hskp18
| c1_1(X1)
| c0_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_46) ).
cnf(i_0_53,negated_conjecture,
( hskp11
| c2_1(X1)
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_53) ).
cnf(i_0_60,negated_conjecture,
( hskp8
| c1_1(X1)
| c0_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_60) ).
cnf(i_0_61,negated_conjecture,
( hskp0
| c1_1(X1)
| c2_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_61) ).
cnf(i_0_50,negated_conjecture,
( hskp14
| c2_1(X1)
| c0_1(X2)
| c3_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_50) ).
cnf(i_0_54,negated_conjecture,
( hskp13
| c2_1(X1)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_54) ).
cnf(i_0_58,negated_conjecture,
( hskp11
| c1_1(X1)
| c2_1(X2)
| c0_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_58) ).
cnf(i_0_63,negated_conjecture,
( hskp7
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_63) ).
cnf(i_0_35,negated_conjecture,
( hskp2
| c1_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_35) ).
cnf(i_0_71,negated_conjecture,
( hskp1
| c1_1(X1)
| c1_1(X2)
| c0_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_71) ).
cnf(i_0_74,negated_conjecture,
( hskp0
| c1_1(X1)
| c1_1(X2)
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_74) ).
cnf(i_0_37,negated_conjecture,
( hskp28
| c1_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_37) ).
cnf(i_0_161,negated_conjecture,
( ~ hskp9
| ~ c1_1(a2185) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_161) ).
cnf(i_0_165,negated_conjecture,
( ~ hskp8
| ~ c3_1(a2184) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_165) ).
cnf(i_0_181,negated_conjecture,
( ~ hskp4
| ~ c3_1(a2179) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_181) ).
cnf(i_0_182,negated_conjecture,
( c2_1(a2179)
| ~ hskp4 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_182) ).
cnf(i_0_166,negated_conjecture,
( c1_1(a2184)
| ~ hskp8 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_166) ).
cnf(i_0_1,negated_conjecture,
( hskp3
| hskp16
| hskp17 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_1) ).
cnf(i_0_7,negated_conjecture,
( hskp3
| hskp15
| hskp16 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f_we2bnx/input.p',i_0_7) ).
cnf(c_0_331,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
i_0_200 ).
cnf(c_0_332,negated_conjecture,
( hskp0
| hskp10
| hskp13 ),
i_0_6 ).
cnf(c_0_333,negated_conjecture,
( ndr1_0
| ~ hskp10 ),
i_0_160 ).
cnf(c_0_334,negated_conjecture,
( ndr1_0
| ~ hskp13 ),
i_0_148 ).
fof(c_0_335,plain,
( ~ epred24_0
<=> ! [X2] :
( c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_336,plain,
( ~ epred4_0
<=> ! [X1] :
( c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_337,plain,
( ~ epred31_0
<=> ! [X1] :
( c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_338,plain,
( ~ epred10_0
<=> ! [X2] :
( hskp7
| c0_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_339,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_333]),c_0_334]) ).
fof(c_0_340,plain,
( ~ epred20_0
<=> ! [X2] :
( c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_341,plain,
( ~ epred18_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_342,plain,
( ~ epred21_0
<=> ! [X1] :
( hskp2
| c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_343,plain,
( ~ epred15_0
<=> ! [X1] :
( c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_344,plain,
( ~ epred11_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_345,negated_conjecture,
( epred24_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_335]) ).
cnf(c_0_346,negated_conjecture,
( c2_1(a2182)
| ~ hskp7 ),
i_0_171 ).
cnf(c_0_347,negated_conjecture,
( ~ hskp7
| ~ c0_1(a2182) ),
i_0_169 ).
cnf(c_0_348,negated_conjecture,
( epred4_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_336]) ).
cnf(c_0_349,negated_conjecture,
( c3_1(a2182)
| ~ hskp7 ),
i_0_170 ).
cnf(c_0_350,negated_conjecture,
( epred31_0
| c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_337]) ).
cnf(c_0_351,negated_conjecture,
( c2_1(a2219)
| ~ hskp22 ),
i_0_111 ).
cnf(c_0_352,negated_conjecture,
( ~ hskp22
| ~ c1_1(a2219) ),
i_0_110 ).
cnf(c_0_353,negated_conjecture,
( epred10_0
| c3_1(X1)
| c0_1(X1)
| hskp7
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_338]),c_0_339])]) ).
cnf(c_0_354,negated_conjecture,
( ~ hskp22
| ~ c3_1(a2219) ),
i_0_109 ).
fof(c_0_355,plain,
( ~ epred16_0
<=> ! [X1] :
( hskp13
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_356,negated_conjecture,
( epred20_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_340]) ).
cnf(c_0_357,negated_conjecture,
( c3_1(a2265)
| ~ hskp25 ),
i_0_98 ).
cnf(c_0_358,negated_conjecture,
( c1_1(a2265)
| ~ hskp25 ),
i_0_99 ).
cnf(c_0_359,negated_conjecture,
( ~ hskp25
| ~ c2_1(a2265) ),
i_0_97 ).
fof(c_0_360,plain,
( ~ epred19_0
<=> ! [X1] :
( hskp0
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_361,plain,
( ~ epred49_0
<=> ! [X3] :
( c1_1(X3)
| c0_1(X3)
| c3_1(X3) ) ),
introduced(definition) ).
fof(c_0_362,plain,
( ~ epred22_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_363,plain,
( ~ epred32_0
<=> ! [X1] :
( hskp27
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_364,plain,
( ~ epred51_0
<=> ! [X2] :
( c1_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_365,plain,
( ~ epred50_0
<=> ! [X3] :
( c2_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c1_1(X3) ) ),
introduced(definition) ).
fof(c_0_366,plain,
( ~ epred54_0
<=> ! [X3] :
( c0_1(X3)
| c3_1(X3)
| ~ c2_1(X3) ) ),
introduced(definition) ).
fof(c_0_367,plain,
( ~ epred17_0
<=> ! [X1] :
( hskp14
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_368,negated_conjecture,
( ~ hskp19
| ~ c3_1(a2211) ),
i_0_121 ).
cnf(c_0_369,negated_conjecture,
( epred18_0
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_341]) ).
cnf(c_0_370,negated_conjecture,
( ~ hskp19
| ~ c0_1(a2211) ),
i_0_123 ).
cnf(c_0_371,negated_conjecture,
( epred21_0
| c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_342]),c_0_339])]) ).
cnf(c_0_372,negated_conjecture,
( ~ hskp2
| ~ c3_1(a2176) ),
i_0_189 ).
cnf(c_0_373,negated_conjecture,
( c1_1(a2176)
| ~ hskp2 ),
i_0_191 ).
cnf(c_0_374,negated_conjecture,
( ~ hskp2
| ~ c0_1(a2176) ),
i_0_190 ).
cnf(c_0_375,negated_conjecture,
( epred15_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_343]) ).
cnf(c_0_376,negated_conjecture,
( c3_1(a2180)
| ~ hskp5 ),
i_0_178 ).
cnf(c_0_377,negated_conjecture,
( c0_1(a2180)
| ~ hskp5 ),
i_0_179 ).
cnf(c_0_378,negated_conjecture,
( ~ hskp5
| ~ c1_1(a2180) ),
i_0_177 ).
fof(c_0_379,plain,
( ~ epred14_0
<=> ! [X2] :
( hskp11
| c2_1(X2)
| c0_1(X2)
| c3_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_380,plain,
( ~ epred58_0
<=> ! [X3] :
( c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_381,negated_conjecture,
( hskp16
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
i_0_33 ).
cnf(c_0_382,negated_conjecture,
( c3_1(a2193)
| ~ hskp14 ),
i_0_143 ).
cnf(c_0_383,negated_conjecture,
( ~ hskp14
| ~ c1_1(a2193) ),
i_0_142 ).
cnf(c_0_384,negated_conjecture,
( epred11_0
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_344]) ).
fof(c_0_385,plain,
( ~ epred7_0
<=> ! [X2] :
( c1_1(X2)
| c2_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_386,plain,
( ~ epred3_0
<=> ! [X2] :
( hskp0
| c1_1(X2)
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_387,plain,
( ~ epred26_0
<=> ! [X2] :
( hskp11
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_388,plain,
( ~ epred25_0
<=> ! [X2] :
( hskp8
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_389,negated_conjecture,
( epred24_0
| ~ c1_1(a2182)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_346]),c_0_347]) ).
cnf(c_0_390,negated_conjecture,
( epred4_0
| c1_1(a2182)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_346]) ).
cnf(c_0_391,negated_conjecture,
( epred31_0
| ~ c0_1(a2219)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_352]) ).
cnf(c_0_392,negated_conjecture,
( epred10_0
| c0_1(a2219)
| hskp7
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_351]),c_0_354]) ).
cnf(c_0_393,negated_conjecture,
( epred16_0
| c3_1(X1)
| c2_1(X1)
| hskp13
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_355]),c_0_339])]) ).
cnf(c_0_394,negated_conjecture,
( c0_1(a2216)
| ~ hskp21 ),
i_0_115 ).
cnf(c_0_395,negated_conjecture,
( ~ hskp21
| ~ c2_1(a2216) ),
i_0_114 ).
cnf(c_0_396,negated_conjecture,
( ~ hskp21
| ~ c3_1(a2216) ),
i_0_113 ).
cnf(c_0_397,negated_conjecture,
( epred20_0
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_357]),c_0_358]),c_0_359]) ).
cnf(c_0_398,negated_conjecture,
( hskp21
| hskp22
| hskp25 ),
i_0_4 ).
fof(c_0_399,plain,
( ~ epred6_0
<=> ! [X1] :
( hskp2
| c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_400,plain,
( ~ epred39_0
<=> ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_401,negated_conjecture,
( c2_1(a2174)
| ~ hskp0 ),
i_0_198 ).
cnf(c_0_402,negated_conjecture,
( c1_1(a2174)
| ~ hskp0 ),
i_0_199 ).
cnf(c_0_403,negated_conjecture,
( ~ hskp0
| ~ c0_1(a2174) ),
i_0_197 ).
cnf(c_0_404,negated_conjecture,
( epred19_0
| c0_1(X1)
| c1_1(X1)
| hskp0
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_360]),c_0_339])]) ).
cnf(c_0_405,negated_conjecture,
( epred49_0
| c3_1(X1)
| c0_1(X1)
| c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_361]) ).
fof(c_0_406,plain,
( ~ epred5_0
<=> ! [X2] :
( hskp1
| c1_1(X2)
| c0_1(X2)
| c3_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_407,negated_conjecture,
( epred22_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_362]) ).
cnf(c_0_408,negated_conjecture,
( c3_1(a2178)
| ~ hskp27 ),
i_0_89 ).
cnf(c_0_409,negated_conjecture,
( c2_1(a2178)
| ~ hskp27 ),
i_0_90 ).
cnf(c_0_410,negated_conjecture,
( c0_1(a2178)
| ~ hskp27 ),
i_0_91 ).
cnf(c_0_411,negated_conjecture,
( epred32_0
| c0_1(X1)
| c1_1(X1)
| hskp27
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_363]),c_0_339])]) ).
cnf(c_0_412,negated_conjecture,
( epred51_0
| c0_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_364]) ).
cnf(c_0_413,negated_conjecture,
( epred50_0
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_365]),c_0_339])]) ).
fof(c_0_414,plain,
( ~ epred29_0
<=> ! [X1] :
( hskp18
| c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_415,negated_conjecture,
( epred54_0
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_366]) ).
cnf(c_0_416,negated_conjecture,
( epred17_0
| c3_1(X1)
| c2_1(X1)
| hskp14
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_367]),c_0_339])]) ).
cnf(c_0_417,negated_conjecture,
( epred18_0
| ~ c1_1(a2211)
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_369]),c_0_370]) ).
cnf(c_0_418,negated_conjecture,
( epred21_0
| c1_1(a2211)
| hskp2
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_371]),c_0_370]) ).
cnf(c_0_419,negated_conjecture,
( epred18_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_369]),c_0_373]),c_0_374]) ).
cnf(c_0_420,negated_conjecture,
( epred15_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_376]),c_0_377]),c_0_378]) ).
cnf(c_0_421,negated_conjecture,
( hskp2
| hskp5
| hskp19 ),
i_0_9 ).
cnf(c_0_422,negated_conjecture,
( epred14_0
| c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| hskp11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_379]),c_0_339])]) ).
cnf(c_0_423,negated_conjecture,
( epred58_0
| c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_380]),c_0_339])]) ).
cnf(c_0_424,negated_conjecture,
( c2_1(X1)
| c1_1(X1)
| hskp16
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_381,c_0_339])]) ).
fof(c_0_425,plain,
( ~ epred61_0
<=> ! [X3] :
( ~ c1_1(X3)
| ~ c0_1(X3)
| ~ c3_1(X3) ) ),
introduced(definition) ).
fof(c_0_426,plain,
( ~ epred27_0
<=> ! [X1] :
( c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_427,plain,
( ~ epred55_0
<=> ! [X2] :
( c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_428,negated_conjecture,
( epred15_0
| ~ c0_1(a2193)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_382]),c_0_383]) ).
cnf(c_0_429,negated_conjecture,
( epred11_0
| c0_1(a2193)
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_382]),c_0_383]) ).
cnf(c_0_430,negated_conjecture,
( ~ hskp16
| ~ c2_1(a2195) ),
i_0_134 ).
cnf(c_0_431,negated_conjecture,
( epred7_0
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_385]) ).
cnf(c_0_432,negated_conjecture,
( ~ hskp16
| ~ c1_1(a2195) ),
i_0_135 ).
cnf(c_0_433,negated_conjecture,
( epred3_0
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_386]),c_0_339])]) ).
fof(c_0_434,plain,
( ~ epred13_0
<=> ! [X2] :
( c2_1(X2)
| c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_435,plain,
( ~ epred53_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_436,negated_conjecture,
( hskp17
| hskp29
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ),
i_0_48 ).
cnf(c_0_437,negated_conjecture,
( c2_1(a2175)
| ~ hskp1 ),
i_0_195 ).
cnf(c_0_438,negated_conjecture,
( ~ hskp1
| ~ c0_1(a2175) ),
i_0_194 ).
fof(c_0_439,plain,
( ~ epred60_0
<=> ! [X1] :
( c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_440,negated_conjecture,
( epred26_0
| c0_1(X1)
| c2_1(X1)
| hskp11
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_387]),c_0_339])]) ).
cnf(c_0_441,negated_conjecture,
( c3_1(a2186)
| ~ hskp10 ),
i_0_159 ).
cnf(c_0_442,negated_conjecture,
( ~ hskp10
| ~ c0_1(a2186) ),
i_0_158 ).
cnf(c_0_443,negated_conjecture,
( epred25_0
| c3_1(X1)
| hskp8
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_388]),c_0_339])]) ).
cnf(c_0_444,negated_conjecture,
( c0_1(a2188)
| ~ hskp28 ),
i_0_87 ).
cnf(c_0_445,negated_conjecture,
( c1_1(a2188)
| ~ hskp28 ),
i_0_86 ).
cnf(c_0_446,negated_conjecture,
( hskp0
| hskp15
| c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
i_0_30 ).
cnf(c_0_447,negated_conjecture,
( ~ hskp16
| ~ c3_1(a2195) ),
i_0_133 ).
fof(c_0_448,plain,
( ~ epred44_0
<=> ! [X1] :
( hskp7
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_449,negated_conjecture,
( epred24_0
| epred4_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_389,c_0_390]) ).
cnf(c_0_450,negated_conjecture,
( epred31_0
| epred10_0
| hskp7
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_391,c_0_392]) ).
cnf(c_0_451,negated_conjecture,
( epred16_0
| hskp13
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_394]),c_0_395]),c_0_396]) ).
cnf(c_0_452,negated_conjecture,
( epred20_0
| hskp22
| hskp21 ),
inference(spm,[status(thm)],[c_0_397,c_0_398]) ).
fof(c_0_453,plain,
( ~ epred37_0
<=> ! [X1] :
( hskp10
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_454,negated_conjecture,
( c2_1(a2185)
| ~ hskp9 ),
i_0_163 ).
cnf(c_0_455,negated_conjecture,
( ~ hskp9
| ~ c0_1(a2185) ),
i_0_162 ).
fof(c_0_456,plain,
( ~ epred34_0
<=> ! [X2] :
( hskp29
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_457,negated_conjecture,
( c0_1(a2191)
| ~ hskp13 ),
i_0_147 ).
cnf(c_0_458,negated_conjecture,
( ~ hskp13
| ~ c1_1(a2191) ),
i_0_146 ).
cnf(c_0_459,negated_conjecture,
( epred6_0
| c3_1(X1)
| c1_1(X1)
| hskp2
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_399]),c_0_339])]) ).
cnf(c_0_460,negated_conjecture,
( ~ hskp1
| ~ c3_1(a2175) ),
i_0_193 ).
cnf(c_0_461,negated_conjecture,
( epred39_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_400]) ).
cnf(c_0_462,negated_conjecture,
( c3_1(a2197)
| ~ hskp17 ),
i_0_130 ).
cnf(c_0_463,negated_conjecture,
( ~ hskp17
| ~ c1_1(a2197) ),
i_0_129 ).
cnf(c_0_464,negated_conjecture,
( epred24_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_401]),c_0_402]),c_0_403]) ).
cnf(c_0_465,negated_conjecture,
( epred49_0
| epred19_0
| c0_1(X1)
| c1_1(X1)
| hskp0 ),
inference(spm,[status(thm)],[c_0_404,c_0_405]) ).
cnf(c_0_466,negated_conjecture,
( epred5_0
| c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_406]),c_0_339])]) ).
cnf(c_0_467,negated_conjecture,
( epred22_0
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_408]),c_0_409]),c_0_410]) ).
cnf(c_0_468,negated_conjecture,
( epred51_0
| epred32_0
| c0_1(X1)
| c1_1(X1)
| hskp27 ),
inference(spm,[status(thm)],[c_0_411,c_0_412]) ).
fof(c_0_469,plain,
( ~ epred1_0
<=> ! [X1] :
( hskp28
| c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_470,negated_conjecture,
( hskp13
| hskp16
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ),
i_0_22 ).
cnf(c_0_471,negated_conjecture,
( ~ hskp19
| ~ c2_1(a2211) ),
i_0_122 ).
cnf(c_0_472,negated_conjecture,
( hskp1
| hskp30
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ),
i_0_34 ).
cnf(c_0_473,negated_conjecture,
( hskp15
| hskp16
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ),
i_0_49 ).
cnf(c_0_474,negated_conjecture,
( hskp3
| hskp15
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ),
i_0_43 ).
cnf(c_0_475,negated_conjecture,
( hskp9
| hskp29
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1) ),
i_0_18 ).
cnf(c_0_476,negated_conjecture,
( hskp10
| hskp11
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1) ),
i_0_17 ).
cnf(c_0_477,negated_conjecture,
( hskp10
| hskp17
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1) ),
i_0_19 ).
cnf(c_0_478,negated_conjecture,
( hskp13
| hskp16
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
i_0_25 ).
cnf(c_0_479,negated_conjecture,
( hskp13
| hskp19
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
i_0_11 ).
fof(c_0_480,plain,
( ~ epred59_0
<=> ! [X3] :
( c0_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_481,negated_conjecture,
( hskp22
| hskp27
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
i_0_14 ).
fof(c_0_482,plain,
( ~ epred47_0
<=> ! [X1] :
( hskp27
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_483,plain,
( ~ epred52_0
<=> ! [X3] :
( c0_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X3) ) ),
introduced(definition) ).
fof(c_0_484,plain,
( ~ epred36_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_485,negated_conjecture,
( epred50_0
| epred20_0
| c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_356,c_0_413]) ).
fof(c_0_486,plain,
( ~ epred35_0
<=> ! [X1] :
( hskp4
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_487,plain,
( ~ epred48_0
<=> ! [X2] :
( c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_488,negated_conjecture,
( c2_1(a2197)
| ~ hskp17 ),
i_0_131 ).
cnf(c_0_489,negated_conjecture,
( c0_1(a2198)
| ~ hskp18 ),
i_0_127 ).
cnf(c_0_490,negated_conjecture,
( ~ hskp18
| ~ c1_1(a2198) ),
i_0_126 ).
cnf(c_0_491,negated_conjecture,
( ~ hskp18
| ~ c2_1(a2198) ),
i_0_125 ).
cnf(c_0_492,negated_conjecture,
( epred29_0
| c3_1(X1)
| c1_1(X1)
| hskp18
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_414]),c_0_339])]) ).
cnf(c_0_493,negated_conjecture,
( ~ hskp13
| ~ c3_1(a2191) ),
i_0_145 ).
cnf(c_0_494,negated_conjecture,
( epred54_0
| ~ c2_1(a2176)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_415]),c_0_374]) ).
cnf(c_0_495,negated_conjecture,
( epred17_0
| c2_1(a2176)
| hskp14
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_373]),c_0_372]) ).
cnf(c_0_496,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c0_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X3)
| ~ c3_1(X1) ),
i_0_36 ).
cnf(c_0_497,negated_conjecture,
( epred21_0
| epred18_0
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_419]) ).
cnf(c_0_498,negated_conjecture,
( epred15_0
| hskp19
| hskp2 ),
inference(spm,[status(thm)],[c_0_420,c_0_421]) ).
cnf(c_0_499,negated_conjecture,
( hskp2
| c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2) ),
i_0_70 ).
cnf(c_0_500,negated_conjecture,
( ~ hskp10
| ~ c1_1(a2186) ),
i_0_157 ).
cnf(c_0_501,negated_conjecture,
( c2_1(a2187)
| ~ hskp11 ),
i_0_154 ).
cnf(c_0_502,negated_conjecture,
( c0_1(a2187)
| ~ hskp11 ),
i_0_155 ).
cnf(c_0_503,negated_conjecture,
( ~ hskp11
| ~ c1_1(a2187) ),
i_0_153 ).
cnf(c_0_504,negated_conjecture,
( epred14_0
| c2_1(a2176)
| hskp11
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_422]),c_0_374]) ).
cnf(c_0_505,negated_conjecture,
( epred58_0
| epred22_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_407,c_0_423]) ).
cnf(c_0_506,negated_conjecture,
( epred22_0
| ~ c2_1(a2180)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_376]),c_0_377]) ).
cnf(c_0_507,negated_conjecture,
( c2_1(a2180)
| hskp16
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_377]),c_0_378]) ).
cnf(c_0_508,negated_conjecture,
( epred61_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_425]) ).
cnf(c_0_509,negated_conjecture,
( c3_1(a2194)
| ~ hskp15 ),
i_0_138 ).
cnf(c_0_510,negated_conjecture,
( c0_1(a2194)
| ~ hskp15 ),
i_0_139 ).
cnf(c_0_511,negated_conjecture,
( ~ hskp15
| ~ c2_1(a2194) ),
i_0_137 ).
cnf(c_0_512,negated_conjecture,
( epred27_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_426]) ).
fof(c_0_513,plain,
( ~ epred56_0
<=> ! [X2] :
( c2_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_514,negated_conjecture,
( epred55_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_427]) ).
cnf(c_0_515,negated_conjecture,
( c3_1(a2262)
| ~ hskp24 ),
i_0_102 ).
cnf(c_0_516,negated_conjecture,
( c1_1(a2262)
| ~ hskp24 ),
i_0_103 ).
cnf(c_0_517,negated_conjecture,
( ~ hskp24
| ~ c0_1(a2262) ),
i_0_101 ).
cnf(c_0_518,negated_conjecture,
( epred15_0
| epred11_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_428,c_0_429]) ).
cnf(c_0_519,negated_conjecture,
( hskp13
| hskp14
| hskp24 ),
i_0_5 ).
cnf(c_0_520,negated_conjecture,
( c3_1(a2196)
| ~ hskp29 ),
i_0_81 ).
cnf(c_0_521,negated_conjecture,
( c2_1(a2196)
| ~ hskp29 ),
i_0_82 ).
cnf(c_0_522,negated_conjecture,
( epred7_0
| ~ c0_1(a2195)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_431]),c_0_432]) ).
cnf(c_0_523,negated_conjecture,
( epred3_0
| c0_1(a2195)
| hskp0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_433]),c_0_432]) ).
cnf(c_0_524,negated_conjecture,
( c1_1(a2196)
| ~ hskp29 ),
i_0_83 ).
cnf(c_0_525,negated_conjecture,
( c3_1(a2208)
| ~ hskp30 ),
i_0_77 ).
cnf(c_0_526,negated_conjecture,
( c0_1(a2208)
| ~ hskp30 ),
i_0_79 ).
cnf(c_0_527,negated_conjecture,
( c1_1(a2208)
| ~ hskp30 ),
i_0_78 ).
cnf(c_0_528,negated_conjecture,
( epred13_0
| c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_434]) ).
fof(c_0_529,plain,
( ~ epred2_0
<=> ! [X2] :
( c1_1(X2)
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_530,negated_conjecture,
( epred53_0
| c3_1(X1)
| c0_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_435]),c_0_339])]) ).
cnf(c_0_531,negated_conjecture,
( c3_1(X1)
| c0_1(X1)
| hskp29
| hskp17
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_436,c_0_339])]) ).
cnf(c_0_532,negated_conjecture,
( epred32_0
| c1_1(a2175)
| hskp27
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_437]),c_0_438]) ).
cnf(c_0_533,negated_conjecture,
( epred32_0
| c0_1(a2219)
| hskp27
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_351]),c_0_352]) ).
cnf(c_0_534,negated_conjecture,
( epred60_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_439]),c_0_339])]) ).
cnf(c_0_535,negated_conjecture,
( epred26_0
| c2_1(a2186)
| hskp11
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_441]),c_0_442]) ).
cnf(c_0_536,negated_conjecture,
( epred25_0
| c3_1(a2188)
| hskp8
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_444]),c_0_445]) ).
cnf(c_0_537,negated_conjecture,
( c3_1(X1)
| c1_1(X1)
| hskp15
| hskp0
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_446,c_0_339])]) ).
cnf(c_0_538,negated_conjecture,
( epred21_0
| c0_1(a2195)
| hskp2
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_371]),c_0_432]) ).
cnf(c_0_539,negated_conjecture,
( epred44_0
| c3_1(X1)
| hskp7
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_448]),c_0_339])]) ).
cnf(c_0_540,negated_conjecture,
( epred31_0
| epred24_0
| epred10_0
| epred4_0
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_449,c_0_450]) ).
cnf(c_0_541,negated_conjecture,
( epred20_0
| epred16_0
| hskp22
| hskp13 ),
inference(spm,[status(thm)],[c_0_451,c_0_452]) ).
cnf(c_0_542,negated_conjecture,
( epred37_0
| c1_1(X1)
| hskp10
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_453]),c_0_339])]) ).
cnf(c_0_543,negated_conjecture,
( epred10_0
| c3_1(a2185)
| hskp7
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_454]),c_0_455]) ).
cnf(c_0_544,negated_conjecture,
( epred34_0
| c0_1(X1)
| hskp29
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_456]),c_0_339])]) ).
cnf(c_0_545,negated_conjecture,
( c2_1(a2191)
| hskp16
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_457]),c_0_458]) ).
cnf(c_0_546,negated_conjecture,
( epred6_0
| c1_1(a2175)
| hskp2
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_437]),c_0_460]) ).
cnf(c_0_547,negated_conjecture,
( epred49_0
| c0_1(a2195)
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_405]),c_0_432]) ).
cnf(c_0_548,negated_conjecture,
( epred39_0
| ~ c2_1(a2186)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_441]),c_0_442]) ).
cnf(c_0_549,negated_conjecture,
( epred15_0
| ~ c0_1(a2197)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_462]),c_0_463]) ).
cnf(c_0_550,negated_conjecture,
( epred49_0
| epred24_0
| epred19_0
| c0_1(X1)
| c1_1(X1) ),
inference(spm,[status(thm)],[c_0_464,c_0_465]) ).
cnf(c_0_551,negated_conjecture,
( epred31_0
| epred7_0
| c1_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_350,c_0_431]) ).
cnf(c_0_552,negated_conjecture,
( epred5_0
| c0_1(a2195)
| hskp1
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_466]),c_0_432]) ).
cnf(c_0_553,negated_conjecture,
( ~ hskp3
| ~ c0_1(a2177) ),
i_0_187 ).
cnf(c_0_554,negated_conjecture,
( epred51_0
| epred32_0
| epred22_0
| c0_1(X1)
| c1_1(X1) ),
inference(spm,[status(thm)],[c_0_467,c_0_468]) ).
cnf(c_0_555,negated_conjecture,
( epred1_0
| c3_1(X1)
| c1_1(X1)
| hskp28
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_469]),c_0_339])]) ).
cnf(c_0_556,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| hskp16
| hskp13
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_470,c_0_339])]) ).
cnf(c_0_557,negated_conjecture,
( epred3_0
| c1_1(a2211)
| hskp0
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_433]),c_0_370]) ).
cnf(c_0_558,negated_conjecture,
( c2_1(X1)
| c1_1(X1)
| hskp30
| hskp1
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_472,c_0_339])]) ).
cnf(c_0_559,negated_conjecture,
( c3_1(X1)
| c0_1(X1)
| hskp16
| hskp15
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_473,c_0_339])]) ).
cnf(c_0_560,negated_conjecture,
( c0_1(X1)
| hskp15
| hskp3
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_474,c_0_339])]) ).
cnf(c_0_561,negated_conjecture,
( c3_1(X1)
| hskp29
| hskp9
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_475,c_0_339])]) ).
cnf(c_0_562,negated_conjecture,
( c0_1(a2184)
| ~ hskp8 ),
i_0_167 ).
cnf(c_0_563,negated_conjecture,
( c3_1(X1)
| hskp11
| hskp10
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_476,c_0_339])]) ).
cnf(c_0_564,negated_conjecture,
( c0_1(a2179)
| ~ hskp4 ),
i_0_183 ).
cnf(c_0_565,negated_conjecture,
( c2_1(X1)
| hskp17
| hskp10
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_477,c_0_339])]) ).
cnf(c_0_566,negated_conjecture,
( c1_1(X1)
| hskp16
| hskp13
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_478,c_0_339])]) ).
cnf(c_0_567,negated_conjecture,
( hskp19
| hskp13
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_479,c_0_339])]) ).
cnf(c_0_568,negated_conjecture,
( epred59_0
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_480]),c_0_339])]) ).
cnf(c_0_569,negated_conjecture,
( hskp27
| hskp22
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_481,c_0_339])]) ).
cnf(c_0_570,negated_conjecture,
( epred47_0
| c1_1(X1)
| hskp27
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_482]),c_0_339])]) ).
cnf(c_0_571,negated_conjecture,
( ~ hskp3
| ~ c3_1(a2177) ),
i_0_185 ).
cnf(c_0_572,negated_conjecture,
( epred52_0
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_483]),c_0_339])]) ).
cnf(c_0_573,negated_conjecture,
( epred36_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_484]) ).
cnf(c_0_574,negated_conjecture,
( epred50_0
| epred24_0
| epred20_0
| c0_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_345,c_0_485]) ).
cnf(c_0_575,negated_conjecture,
( epred35_0
| c0_1(X1)
| c1_1(X1)
| hskp4
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_486]),c_0_339])]) ).
cnf(c_0_576,negated_conjecture,
( epred48_0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_487]),c_0_339])]) ).
cnf(c_0_577,negated_conjecture,
( epred21_0
| epred11_0
| c0_1(X1)
| c1_1(X1)
| hskp2 ),
inference(spm,[status(thm)],[c_0_384,c_0_371]) ).
cnf(c_0_578,negated_conjecture,
( epred22_0
| ~ c0_1(a2197)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_462]),c_0_488]) ).
cnf(c_0_579,negated_conjecture,
( epred32_0
| c0_1(a2197)
| hskp27
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_488]),c_0_463]) ).
cnf(c_0_580,negated_conjecture,
( hskp16
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_489]),c_0_490]),c_0_491]) ).
cnf(c_0_581,negated_conjecture,
( epred29_0
| hskp18
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_457]),c_0_458]),c_0_493]) ).
cnf(c_0_582,negated_conjecture,
( epred7_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_431]),c_0_489]),c_0_490]) ).
cnf(c_0_583,negated_conjecture,
( epred54_0
| epred17_0
| hskp14
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_494,c_0_495]) ).
cnf(c_0_584,negated_conjecture,
( ~ hskp3
| ~ c1_1(a2177) ),
i_0_186 ).
cnf(c_0_585,negated_conjecture,
( ~ epred48_0
| ~ epred22_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_496,c_0_487]),c_0_343]),c_0_362]) ).
cnf(c_0_586,negated_conjecture,
( epred21_0
| epred18_0
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_498]),c_0_419]) ).
cnf(c_0_587,negated_conjecture,
( ~ epred22_0
| ~ epred21_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_499,c_0_342]),c_0_362]) ).
cnf(c_0_588,negated_conjecture,
( epred19_0
| c0_1(a2197)
| hskp0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_462]),c_0_463]) ).
cnf(c_0_589,negated_conjecture,
( epred19_0
| hskp0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_441]),c_0_500]),c_0_442]) ).
cnf(c_0_590,negated_conjecture,
( epred31_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_501]),c_0_502]),c_0_503]) ).
cnf(c_0_591,negated_conjecture,
( epred54_0
| epred14_0
| hskp11
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_494,c_0_504]) ).
cnf(c_0_592,negated_conjecture,
( epred58_0
| epred22_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_501]),c_0_502]) ).
cnf(c_0_593,negated_conjecture,
( epred14_0
| hskp11
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_422]),c_0_471]),c_0_370]) ).
cnf(c_0_594,negated_conjecture,
( epred22_0
| hskp16
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_506,c_0_507]) ).
cnf(c_0_595,negated_conjecture,
( hskp5
| hskp16
| hskp19 ),
i_0_8 ).
cnf(c_0_596,negated_conjecture,
( epred61_0
| ~ c1_1(a2194)
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_509]),c_0_510]) ).
cnf(c_0_597,negated_conjecture,
( c1_1(a2194)
| hskp16
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_510]),c_0_511]) ).
cnf(c_0_598,negated_conjecture,
( epred27_0
| ~ c1_1(a2194)
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_512]),c_0_510]) ).
cnf(c_0_599,negated_conjecture,
( epred20_0
| ~ c1_1(a2194)
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_509]),c_0_511]) ).
cnf(c_0_600,negated_conjecture,
( epred61_0
| ~ c1_1(a2178)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_408]),c_0_410]) ).
cnf(c_0_601,negated_conjecture,
( epred31_0
| c1_1(a2178)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_409]),c_0_410]) ).
cnf(c_0_602,negated_conjecture,
( epred56_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_513]) ).
cnf(c_0_603,negated_conjecture,
( epred55_0
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_515]),c_0_516]),c_0_517]) ).
cnf(c_0_604,negated_conjecture,
( epred15_0
| epred11_0
| hskp24
| hskp13 ),
inference(spm,[status(thm)],[c_0_518,c_0_519]) ).
cnf(c_0_605,negated_conjecture,
( epred55_0
| ~ c1_1(a2182)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_349]),c_0_347]) ).
cnf(c_0_606,negated_conjecture,
( epred11_0
| c1_1(a2182)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_349]),c_0_347]) ).
cnf(c_0_607,negated_conjecture,
( epred22_0
| ~ c0_1(a2196)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_520]),c_0_521]) ).
cnf(c_0_608,negated_conjecture,
( epred39_0
| c0_1(a2196)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_520]),c_0_521]) ).
cnf(c_0_609,negated_conjecture,
( epred31_0
| ~ c0_1(a2197)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_488]),c_0_463]) ).
cnf(c_0_610,negated_conjecture,
( epred11_0
| c0_1(a2197)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_462]),c_0_463]) ).
cnf(c_0_611,negated_conjecture,
( epred7_0
| epred3_0
| hskp0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_522,c_0_523]) ).
cnf(c_0_612,negated_conjecture,
( epred24_0
| c0_1(a2196)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_521]),c_0_524]) ).
cnf(c_0_613,negated_conjecture,
( epred22_0
| ~ c2_1(a2208)
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_525]),c_0_526]) ).
cnf(c_0_614,negated_conjecture,
( epred20_0
| c2_1(a2208)
| ~ hskp30 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_525]),c_0_527]) ).
cnf(c_0_615,negated_conjecture,
( epred7_0
| c1_1(a2194)
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_431]),c_0_510]) ).
cnf(c_0_616,negated_conjecture,
( epred15_0
| c1_1(a2194)
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_509]),c_0_510]) ).
cnf(c_0_617,negated_conjecture,
( epred4_0
| ~ c2_1(a2186)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_441]),c_0_500]) ).
cnf(c_0_618,negated_conjecture,
( epred13_0
| c2_1(a2186)
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_528,c_0_441]),c_0_442]) ).
cnf(c_0_619,negated_conjecture,
( epred2_0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_529]) ).
cnf(c_0_620,negated_conjecture,
( c2_1(a2188)
| ~ hskp28 ),
i_0_85 ).
fof(c_0_621,plain,
( ~ epred43_0
<=> ! [X1] :
( hskp2
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_622,negated_conjecture,
( epred53_0
| epred11_0
| c0_1(X1)
| c1_1(X1) ),
inference(spm,[status(thm)],[c_0_384,c_0_530]) ).
cnf(c_0_623,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X3)
| ~ c3_1(X3) ),
i_0_68 ).
cnf(c_0_624,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
i_0_51 ).
cnf(c_0_625,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X2) ),
i_0_42 ).
cnf(c_0_626,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X3)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X2) ),
i_0_47 ).
cnf(c_0_627,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c0_1(X3)
| c0_1(X1)
| c3_1(X3)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X3)
| ~ c3_1(X2) ),
i_0_73 ).
cnf(c_0_628,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c0_1(X3)
| c0_1(X1)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X3)
| ~ c3_1(X2) ),
i_0_76 ).
cnf(c_0_629,negated_conjecture,
( c1_1(X1)
| c2_1(X2)
| c0_1(X3)
| c0_1(X1)
| c3_1(X2)
| c3_1(X3)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X3)
| ~ c3_1(X1) ),
i_0_64 ).
cnf(c_0_630,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c2_1(X1)
| c0_1(X3)
| c0_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X2) ),
i_0_62 ).
cnf(c_0_631,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c1_1(X3)
| c2_1(X2)
| c0_1(X3)
| c3_1(X2)
| c3_1(X3)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1) ),
i_0_72 ).
cnf(c_0_632,negated_conjecture,
( hskp27
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1) ),
i_0_24 ).
cnf(c_0_633,negated_conjecture,
( hskp7
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X2) ),
i_0_16 ).
cnf(c_0_634,negated_conjecture,
( hskp2
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1) ),
i_0_38 ).
cnf(c_0_635,negated_conjecture,
( hskp10
| c1_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X1) ),
i_0_27 ).
cnf(c_0_636,negated_conjecture,
( hskp4
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
i_0_66 ).
cnf(c_0_637,negated_conjecture,
( hskp29
| c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X2) ),
i_0_41 ).
cnf(c_0_638,negated_conjecture,
( hskp27
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1) ),
i_0_67 ).
cnf(c_0_639,negated_conjecture,
( hskp18
| c1_1(X1)
| c0_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X1) ),
i_0_46 ).
cnf(c_0_640,negated_conjecture,
( hskp11
| c2_1(X1)
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X2) ),
i_0_53 ).
cnf(c_0_641,negated_conjecture,
( hskp8
| c1_1(X1)
| c0_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X1) ),
i_0_60 ).
cnf(c_0_642,negated_conjecture,
( hskp0
| c1_1(X1)
| c2_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1) ),
i_0_61 ).
cnf(c_0_643,negated_conjecture,
( hskp14
| c2_1(X1)
| c0_1(X2)
| c3_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X2) ),
i_0_50 ).
cnf(c_0_644,negated_conjecture,
( hskp13
| c2_1(X1)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X2) ),
i_0_54 ).
cnf(c_0_645,negated_conjecture,
( hskp11
| c1_1(X1)
| c2_1(X2)
| c0_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ),
i_0_58 ).
cnf(c_0_646,negated_conjecture,
( hskp7
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X1) ),
i_0_63 ).
cnf(c_0_647,negated_conjecture,
( hskp2
| c1_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X2) ),
i_0_35 ).
cnf(c_0_648,negated_conjecture,
( hskp1
| c1_1(X1)
| c1_1(X2)
| c0_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
i_0_71 ).
cnf(c_0_649,negated_conjecture,
( hskp0
| c1_1(X1)
| c1_1(X2)
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ),
i_0_74 ).
cnf(c_0_650,negated_conjecture,
( hskp28
| c1_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X1)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1) ),
i_0_37 ).
cnf(c_0_651,negated_conjecture,
( c3_1(a2175)
| c0_1(a2175)
| hskp29
| hskp17
| epred32_0
| hskp27
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_531,c_0_532]) ).
cnf(c_0_652,negated_conjecture,
( epred29_0
| c3_1(a2219)
| c1_1(a2219)
| hskp18
| epred32_0
| hskp27
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_492,c_0_533]) ).
cnf(c_0_653,negated_conjecture,
( epred60_0
| c0_1(a2186)
| c1_1(a2186)
| epred26_0
| hskp11
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_534,c_0_535]) ).
cnf(c_0_654,negated_conjecture,
( epred22_0
| epred25_0
| hskp8
| ~ c0_1(a2188)
| ~ c2_1(a2188)
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_407,c_0_536]) ).
cnf(c_0_655,negated_conjecture,
( c3_1(a2195)
| c1_1(a2195)
| hskp15
| hskp0
| epred21_0
| hskp2
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_537,c_0_538]) ).
cnf(c_0_656,negated_conjecture,
( epred44_0
| c3_1(a2176)
| hskp7
| epred17_0
| hskp14
| ~ c1_1(a2176)
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_539,c_0_495]) ).
cnf(c_0_657,negated_conjecture,
( epred31_0
| epred24_0
| epred10_0
| epred4_0
| epred20_0
| epred16_0
| hskp13 ),
inference(spm,[status(thm)],[c_0_540,c_0_541]) ).
cnf(c_0_658,negated_conjecture,
( epred37_0
| c1_1(a2185)
| hskp10
| epred10_0
| hskp7
| ~ c2_1(a2185)
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_542,c_0_543]) ).
cnf(c_0_659,negated_conjecture,
( epred34_0
| c0_1(a2185)
| hskp29
| epred10_0
| hskp7
| ~ c2_1(a2185)
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_544,c_0_543]) ).
cnf(c_0_660,negated_conjecture,
( epred4_0
| c1_1(a2185)
| epred10_0
| hskp7
| ~ c2_1(a2185)
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_348,c_0_543]) ).
cnf(c_0_661,negated_conjecture,
( c3_1(a2219)
| c1_1(a2219)
| hskp15
| hskp0
| epred10_0
| hskp7
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_537,c_0_392]) ).
cnf(c_0_662,negated_conjecture,
( epred31_0
| c1_1(a2191)
| hskp16
| ~ c0_1(a2191)
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_350,c_0_545]) ).
cnf(c_0_663,negated_conjecture,
( c3_1(a2175)
| c0_1(a2175)
| hskp29
| hskp17
| epred6_0
| hskp2
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_531,c_0_546]) ).
cnf(c_0_664,negated_conjecture,
( c3_1(a2195)
| c1_1(a2195)
| hskp15
| hskp0
| epred49_0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_537,c_0_547]) ).
cnf(c_0_665,negated_conjecture,
( epred39_0
| epred3_0
| c0_1(a2186)
| c1_1(a2186)
| hskp0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_548,c_0_433]) ).
cnf(c_0_666,negated_conjecture,
( epred15_0
| epred49_0
| epred24_0
| epred19_0
| c1_1(a2197)
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_549,c_0_550]) ).
cnf(c_0_667,negated_conjecture,
( epred31_0
| epred7_0
| c1_1(a2195)
| epred5_0
| hskp1
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_551,c_0_552]) ).
cnf(c_0_668,negated_conjecture,
( epred51_0
| epred32_0
| epred22_0
| c1_1(a2177)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_553,c_0_554]) ).
cnf(c_0_669,negated_conjecture,
( c3_1(a2195)
| c1_1(a2195)
| hskp15
| hskp0
| epred3_0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_537,c_0_523]) ).
cnf(c_0_670,negated_conjecture,
( epred1_0
| c3_1(a2195)
| c1_1(a2195)
| hskp28
| epred3_0
| hskp0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_555,c_0_523]) ).
cnf(c_0_671,negated_conjecture,
( c3_1(a2211)
| c2_1(a2211)
| hskp16
| hskp13
| epred3_0
| hskp0
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_556,c_0_557]) ).
cnf(c_0_672,negated_conjecture,
( c3_1(a2191)
| c1_1(a2191)
| hskp15
| hskp0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_537,c_0_457]) ).
cnf(c_0_673,negated_conjecture,
( c2_1(a2191)
| c1_1(a2191)
| hskp30
| hskp1
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_558,c_0_457]) ).
cnf(c_0_674,negated_conjecture,
( c2_1(a2194)
| c1_1(a2194)
| hskp30
| hskp1
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_558,c_0_510]) ).
cnf(c_0_675,negated_conjecture,
( c3_1(a2176)
| c0_1(a2176)
| hskp16
| hskp15
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_559,c_0_373]) ).
cnf(c_0_676,negated_conjecture,
( c3_1(a2174)
| c0_1(a2174)
| hskp29
| hskp17
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_531,c_0_402]) ).
cnf(c_0_677,negated_conjecture,
( c3_1(a2176)
| c0_1(a2176)
| hskp29
| hskp17
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_531,c_0_373]) ).
cnf(c_0_678,negated_conjecture,
( c0_1(a2174)
| hskp15
| hskp3
| ~ c1_1(a2174)
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_560,c_0_401]) ).
cnf(c_0_679,negated_conjecture,
( c3_1(a2184)
| hskp29
| hskp9
| ~ c1_1(a2184)
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_561,c_0_562]) ).
cnf(c_0_680,negated_conjecture,
( c3_1(a2179)
| hskp11
| hskp10
| ~ c2_1(a2179)
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_563,c_0_564]) ).
cnf(c_0_681,negated_conjecture,
( c3_1(a2191)
| hskp11
| hskp10
| ~ c2_1(a2191)
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_563,c_0_457]) ).
cnf(c_0_682,negated_conjecture,
( c2_1(a2208)
| hskp17
| hskp10
| ~ c1_1(a2208)
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_565,c_0_526]) ).
cnf(c_0_683,negated_conjecture,
( c2_1(a2194)
| hskp17
| hskp10
| ~ c1_1(a2194)
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_565,c_0_510]) ).
cnf(c_0_684,negated_conjecture,
( c1_1(a2197)
| hskp16
| hskp13
| ~ c0_1(a2197)
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_566,c_0_462]) ).
cnf(c_0_685,negated_conjecture,
( c1_1(a2194)
| hskp16
| hskp13
| ~ c0_1(a2194)
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_566,c_0_509]) ).
cnf(c_0_686,negated_conjecture,
( hskp19
| hskp13
| epred59_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_567,c_0_568]) ).
cnf(c_0_687,negated_conjecture,
( hskp27
| hskp22
| ~ c0_1(a2194)
| ~ c1_1(a2194)
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_569,c_0_509]) ).
cnf(c_0_688,negated_conjecture,
( epred60_0
| c0_1(a2197)
| c1_1(a2197)
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_534,c_0_488]) ).
cnf(c_0_689,negated_conjecture,
( epred39_0
| c0_1(X1)
| epred59_0
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_461,c_0_568]) ).
cnf(c_0_690,negated_conjecture,
( epred59_0
| c0_1(a2176)
| ~ hskp2
| ~ c1_1(a2176) ),
inference(spm,[status(thm)],[c_0_372,c_0_568]) ).
cnf(c_0_691,negated_conjecture,
( epred47_0
| c1_1(a2197)
| hskp27
| ~ c2_1(a2197)
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_570,c_0_462]) ).
cnf(c_0_692,negated_conjecture,
( epred53_0
| c0_1(a2177)
| c1_1(a2177)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_571,c_0_530]) ).
cnf(c_0_693,negated_conjecture,
( epred55_0
| c0_1(X1)
| epred52_0
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_514,c_0_572]) ).
cnf(c_0_694,negated_conjecture,
( epred36_0
| epred52_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_573,c_0_572]) ).
cnf(c_0_695,negated_conjecture,
( epred52_0
| c0_1(a2177)
| ~ hskp3
| ~ c2_1(a2177) ),
inference(spm,[status(thm)],[c_0_571,c_0_572]) ).
cnf(c_0_696,negated_conjecture,
( epred37_0
| c1_1(a2197)
| hskp10
| ~ c2_1(a2197)
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_542,c_0_462]) ).
cnf(c_0_697,negated_conjecture,
( epred50_0
| epred24_0
| epred20_0
| ~ hskp2
| ~ c1_1(a2176) ),
inference(spm,[status(thm)],[c_0_374,c_0_574]) ).
cnf(c_0_698,negated_conjecture,
( epred35_0
| c0_1(a2185)
| c1_1(a2185)
| hskp4
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_575,c_0_454]) ).
cnf(c_0_699,negated_conjecture,
( epred34_0
| c0_1(a2182)
| hskp29
| ~ c2_1(a2182)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_544,c_0_349]) ).
cnf(c_0_700,negated_conjecture,
( epred50_0
| c2_1(a2211)
| ~ hskp19
| ~ c1_1(a2211) ),
inference(spm,[status(thm)],[c_0_368,c_0_413]) ).
cnf(c_0_701,negated_conjecture,
( epred48_0
| c2_1(a2177)
| c1_1(a2177)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_571,c_0_576]) ).
cnf(c_0_702,negated_conjecture,
( epred48_0
| c2_1(a2195)
| c1_1(a2195)
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_447,c_0_576]) ).
cnf(c_0_703,negated_conjecture,
( epred48_0
| c2_1(a2211)
| c1_1(a2211)
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_368,c_0_576]) ).
cnf(c_0_704,negated_conjecture,
( epred21_0
| epred11_0
| c1_1(a2177)
| hskp2
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_553,c_0_577]) ).
cnf(c_0_705,negated_conjecture,
( epred32_0
| epred22_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_579]),c_0_467]) ).
cnf(c_0_706,negated_conjecture,
( epred29_0
| hskp16
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_580,c_0_581]) ).
cnf(c_0_707,negated_conjecture,
( epred29_0
| epred7_0
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_582,c_0_581]) ).
cnf(c_0_708,negated_conjecture,
( epred54_0
| epred17_0
| epred15_0
| epred11_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_518,c_0_583]) ).
cnf(c_0_709,negated_conjecture,
( epred21_0
| hskp2
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_371]),c_0_584]),c_0_553]) ).
cnf(c_0_710,negated_conjecture,
( epred18_0
| ~ epred48_0
| ~ epred22_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_586]),c_0_587]) ).
cnf(c_0_711,negated_conjecture,
( epred19_0
| c1_1(a2182)
| hskp0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_349]),c_0_347]) ).
cnf(c_0_712,negated_conjecture,
( epred19_0
| epred15_0
| hskp0
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_549,c_0_588]) ).
cnf(c_0_713,negated_conjecture,
( epred24_0
| epred19_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_464,c_0_589]) ).
cnf(c_0_714,negated_conjecture,
( epred54_0
| epred31_0
| epred14_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_590,c_0_591]) ).
cnf(c_0_715,negated_conjecture,
( epred58_0
| epred22_0
| epred14_0
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_592,c_0_593]) ).
cnf(c_0_716,negated_conjecture,
( epred10_0
| hskp7
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_437]),c_0_438]),c_0_460]) ).
cnf(c_0_717,negated_conjecture,
( epred22_0
| hskp19
| hskp16 ),
inference(spm,[status(thm)],[c_0_594,c_0_595]) ).
cnf(c_0_718,negated_conjecture,
( epred61_0
| hskp16
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_596,c_0_597]) ).
cnf(c_0_719,negated_conjecture,
( epred27_0
| hskp16
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_598,c_0_597]) ).
cnf(c_0_720,negated_conjecture,
( epred20_0
| hskp16
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_599,c_0_597]) ).
cnf(c_0_721,negated_conjecture,
( epred61_0
| epred31_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_600,c_0_601]) ).
cnf(c_0_722,negated_conjecture,
( epred56_0
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_509]),c_0_510]),c_0_511]) ).
cnf(c_0_723,negated_conjecture,
( epred55_0
| epred15_0
| epred11_0
| hskp13 ),
inference(spm,[status(thm)],[c_0_603,c_0_604]) ).
cnf(c_0_724,negated_conjecture,
( epred55_0
| epred11_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_605,c_0_606]) ).
cnf(c_0_725,negated_conjecture,
( epred49_0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_405]),c_0_584]),c_0_553]) ).
cnf(c_0_726,negated_conjecture,
( epred39_0
| epred22_0
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_607,c_0_608]) ).
cnf(c_0_727,negated_conjecture,
( epred39_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_349]),c_0_346]),c_0_347]) ).
cnf(c_0_728,negated_conjecture,
( epred36_0
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_520]),c_0_524]),c_0_521]) ).
cnf(c_0_729,negated_conjecture,
( epred31_0
| epred11_0
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_609,c_0_610]) ).
cnf(c_0_730,negated_conjecture,
( epred24_0
| epred7_0
| epred3_0
| ~ hskp16 ),
inference(spm,[status(thm)],[c_0_464,c_0_611]) ).
cnf(c_0_731,negated_conjecture,
( epred24_0
| hskp13
| hskp10 ),
inference(spm,[status(thm)],[c_0_464,c_0_332]) ).
cnf(c_0_732,negated_conjecture,
( epred24_0
| epred22_0
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_607,c_0_612]) ).
cnf(c_0_733,negated_conjecture,
( epred22_0
| epred20_0
| ~ hskp30 ),
inference(spm,[status(thm)],[c_0_613,c_0_614]) ).
cnf(c_0_734,negated_conjecture,
( epred22_0
| epred11_0
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_578,c_0_610]) ).
cnf(c_0_735,negated_conjecture,
( epred20_0
| epred7_0
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_599,c_0_615]) ).
cnf(c_0_736,negated_conjecture,
( epred20_0
| epred15_0
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_599,c_0_616]) ).
cnf(c_0_737,negated_conjecture,
( epred15_0
| epred11_0
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_549,c_0_610]) ).
cnf(c_0_738,negated_conjecture,
( epred13_0
| epred4_0
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_617,c_0_618]) ).
cnf(c_0_739,negated_conjecture,
( epred11_0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_441]),c_0_500]),c_0_442]) ).
cnf(c_0_740,negated_conjecture,
( epred4_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_462]),c_0_488]),c_0_463]) ).
cnf(c_0_741,negated_conjecture,
( epred1_0
| hskp28
| ~ hskp13 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_457]),c_0_458]),c_0_493]) ).
cnf(c_0_742,negated_conjecture,
( epred2_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_619]),c_0_432]),c_0_430]) ).
cnf(c_0_743,negated_conjecture,
( epred58_0
| epred22_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_620]),c_0_444]) ).
cnf(c_0_744,negated_conjecture,
( epred43_0
| c0_1(X1)
| hskp2
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_621]),c_0_339])]) ).
cnf(c_0_745,negated_conjecture,
( epred53_0
| epred11_0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_622]),c_0_584]) ).
cnf(c_0_746,negated_conjecture,
( ~ epred61_0
| ~ epred60_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_623,c_0_439]),c_0_335]),c_0_425]) ).
cnf(c_0_747,negated_conjecture,
( ~ epred59_0
| ~ epred24_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_624,c_0_480]),c_0_335]),c_0_343]) ).
cnf(c_0_748,negated_conjecture,
( ~ epred58_0
| ~ epred39_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_625,c_0_380]),c_0_400]),c_0_385]) ).
cnf(c_0_749,negated_conjecture,
( ~ epred56_0
| ~ epred52_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_626,c_0_483]),c_0_513]),c_0_337]) ).
cnf(c_0_750,negated_conjecture,
( ~ epred55_0
| ~ epred54_0
| ~ epred53_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_627,c_0_435]),c_0_366]),c_0_427]) ).
cnf(c_0_751,negated_conjecture,
( ~ epred52_0
| ~ epred51_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_628,c_0_483]),c_0_364]),c_0_400]) ).
cnf(c_0_752,negated_conjecture,
( ~ epred50_0
| ~ epred18_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_629,c_0_365]),c_0_341]),c_0_344]) ).
cnf(c_0_753,negated_conjecture,
( ~ epred48_0
| ~ epred24_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_630,c_0_487]),c_0_344]),c_0_335]) ).
cnf(c_0_754,negated_conjecture,
( ~ epred49_0
| ~ epred48_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_631,c_0_487]),c_0_361]),c_0_337]) ).
cnf(c_0_755,negated_conjecture,
( ~ epred47_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_632,c_0_482]),c_0_362]) ).
cnf(c_0_756,negated_conjecture,
( ~ epred44_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_633,c_0_448]),c_0_362]) ).
cnf(c_0_757,negated_conjecture,
( ~ epred43_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_634,c_0_621]),c_0_484]) ).
cnf(c_0_758,negated_conjecture,
( ~ epred37_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_635,c_0_453]),c_0_337]) ).
cnf(c_0_759,negated_conjecture,
( ~ epred36_0
| ~ epred35_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_636,c_0_486]),c_0_484]) ).
cnf(c_0_760,negated_conjecture,
( ~ epred34_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_637,c_0_456]),c_0_385]) ).
cnf(c_0_761,negated_conjecture,
( ~ epred32_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_638,c_0_363]),c_0_335]) ).
cnf(c_0_762,negated_conjecture,
( ~ epred29_0
| ~ epred24_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_639,c_0_414]),c_0_335]) ).
cnf(c_0_763,negated_conjecture,
( ~ epred27_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_640,c_0_387]),c_0_426]) ).
cnf(c_0_764,negated_conjecture,
( ~ epred25_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_641,c_0_388]),c_0_344]) ).
cnf(c_0_765,negated_conjecture,
( ~ epred20_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_642,c_0_360]),c_0_340]) ).
cnf(c_0_766,negated_conjecture,
( ~ epred18_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_643,c_0_367]),c_0_341]) ).
cnf(c_0_767,negated_conjecture,
( ~ epred16_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_644,c_0_355]),c_0_434]) ).
cnf(c_0_768,negated_conjecture,
( ~ epred15_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_645,c_0_379]),c_0_343]) ).
cnf(c_0_769,negated_conjecture,
( ~ epred11_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_646,c_0_338]),c_0_344]) ).
cnf(c_0_770,negated_conjecture,
( ~ epred7_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_647,c_0_399]),c_0_385]) ).
cnf(c_0_771,negated_conjecture,
( ~ epred5_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_648,c_0_406]),c_0_336]) ).
cnf(c_0_772,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_649,c_0_386]),c_0_336]) ).
cnf(c_0_773,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_650,c_0_469]),c_0_529]) ).
cnf(c_0_774,negated_conjecture,
( ~ hskp9
| ~ c1_1(a2185) ),
i_0_161 ).
cnf(c_0_775,negated_conjecture,
( ~ hskp8
| ~ c3_1(a2184) ),
i_0_165 ).
cnf(c_0_776,negated_conjecture,
( ~ hskp4
| ~ c3_1(a2179) ),
i_0_181 ).
cnf(c_0_777,negated_conjecture,
( c2_1(a2179)
| ~ hskp4 ),
i_0_182 ).
cnf(c_0_778,negated_conjecture,
( c1_1(a2184)
| ~ hskp8 ),
i_0_166 ).
cnf(c_0_779,negated_conjecture,
( hskp3
| hskp16
| hskp17 ),
i_0_1 ).
cnf(c_0_780,negated_conjecture,
( hskp3
| hskp15
| hskp16 ),
i_0_7 ).
cnf(c_0_781,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_651,c_0_652,c_0_653,c_0_654,c_0_655,c_0_656,c_0_657,c_0_658,c_0_659,c_0_660,c_0_661,c_0_662,c_0_663,c_0_664,c_0_665,c_0_666,c_0_667,c_0_668,c_0_669,c_0_670,c_0_671,c_0_672,c_0_673,c_0_674,c_0_675,c_0_676,c_0_677,c_0_678,c_0_679,c_0_680,c_0_681,c_0_682,c_0_683,c_0_684,c_0_685,c_0_686,c_0_687,c_0_688,c_0_689,c_0_690,c_0_691,c_0_692,c_0_693,c_0_694,c_0_695,c_0_696,c_0_697,c_0_698,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_589,c_0_583,c_0_541,c_0_714,c_0_715,c_0_716,c_0_717,c_0_718,c_0_719,c_0_720,c_0_597,c_0_580,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_590,c_0_729,c_0_609,c_0_730,c_0_731,c_0_464,c_0_732,c_0_449,c_0_389,c_0_733,c_0_613,c_0_734,c_0_467,c_0_735,c_0_736,c_0_599,c_0_419,c_0_417,c_0_737,c_0_616,c_0_518,c_0_738,c_0_739,c_0_615,c_0_740,c_0_741,c_0_742,c_0_560,c_0_743,c_0_744,c_0_745,c_0_572,c_0_461,c_0_746,c_0_747,c_0_748,c_0_749,c_0_585,c_0_750,c_0_751,c_0_752,c_0_753,c_0_754,c_0_755,c_0_756,c_0_757,c_0_758,c_0_759,c_0_760,c_0_761,c_0_762,c_0_763,c_0_764,c_0_587,c_0_765,c_0_766,c_0_767,c_0_768,c_0_769,c_0_770,c_0_771,c_0_772,c_0_773,c_0_354,c_0_352,c_0_368,c_0_471,c_0_463,c_0_447,c_0_430,c_0_432,c_0_511,c_0_493,c_0_458,c_0_442,c_0_500,c_0_455,c_0_774,c_0_775,c_0_347,c_0_776,c_0_553,c_0_584,c_0_372,c_0_374,c_0_460,c_0_438,c_0_403,c_0_510,c_0_457,c_0_444,c_0_488,c_0_454,c_0_346,c_0_777,c_0_620,c_0_401,c_0_527,c_0_778,c_0_373,c_0_402,c_0_779,c_0_780,c_0_332]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN486+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 : n010.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 22:48:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 16.05/3.37 # ENIGMATIC: Solved by autoschedule:
% 16.05/3.37 # No SInE strategy applied
% 16.05/3.37 # Trying AutoSched0 for 150 seconds
% 16.05/3.37 # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 16.05/3.37 # and selection function SelectMaxLComplexAvoidPosPred.
% 16.05/3.37 #
% 16.05/3.37 # Preprocessing time : 0.024 s
% 16.05/3.37 # SatCheck found unsatisfiable ground set
% 16.05/3.37
% 16.05/3.37 # Proof found!
% 16.05/3.37 # SZS status Theorem
% 16.05/3.37 # SZS output start CNFRefutation
% See solution above
% 16.05/3.37 # Training examples: 0 positive, 0 negative
% 16.05/3.37
% 16.05/3.37 # -------------------------------------------------
% 16.05/3.37 # User time : 1.049 s
% 16.05/3.37 # System time : 0.039 s
% 16.05/3.37 # Total time : 1.088 s
% 16.05/3.37 # Maximum resident set size: 7124 pages
% 16.05/3.37
%------------------------------------------------------------------------------