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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN447+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:51:43 PM UTC 2026

% Result   : Theorem 3.28s 1.14s
% Output   : Refutation 4.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :  169
% Syntax   : Number of formulae    :  926 (  18 unt; 168 def)
%            Number of atoms       : 6663 (   0 equ)
%            Maximal formula atoms :  778 (   7 avg)
%            Number of connectives : 8883 (3146   ~;3715   |;1575   &)
%                                         ( 168 <=>; 279  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  130 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  238 ( 237 usr; 234 prp; 0-1 aty)
%            Number of functors    :   64 (  64 usr;  64 con; 0-0 aty)
%            Number of variables   :  610 (   0 sgn 610   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a1020)
          & ~ c1_1(a1020)
          & ~ c2_1(a1020) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a1023)
          & ~ c1_1(a1023)
          & ~ c0_1(a1023) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c2_1(a1024)
          & c1_1(a1024)
          & ~ c3_1(a1024) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c0_1(a1025)
          & ~ c3_1(a1025)
          & ~ c2_1(a1025) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a1026)
          & ~ c2_1(a1026)
          & ~ c1_1(a1026) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c1_1(a1027)
          & c2_1(a1027)
          & ~ c3_1(a1027) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c2_1(a1030)
          & ~ c3_1(a1030)
          & ~ c0_1(a1030) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a1035)
          & c1_1(a1035)
          & ~ c2_1(a1035) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a1036)
          & ~ c3_1(a1036)
          & ~ c1_1(a1036) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c1_1(a1038)
          & c2_1(a1038)
          & ~ c0_1(a1038) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a1039)
          & ~ c2_1(a1039)
          & ~ c0_1(a1039) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ c3_1(a1041)
          & c1_1(a1041)
          & ~ c2_1(a1041) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ c1_1(a1043)
          & c0_1(a1043)
          & ~ c3_1(a1043) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a1048)
          & c3_1(a1048)
          & ~ c2_1(a1048) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & ~ c0_1(a1055)
          & ~ c1_1(a1055)
          & ~ c2_1(a1055) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c3_1(a1059)
          & c2_1(a1059)
          & ~ c1_1(a1059) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a1064)
          & c0_1(a1064)
          & ~ c3_1(a1064) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c0_1(a1077)
          & c3_1(a1077)
          & ~ c2_1(a1077) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c2_1(a1078)
          & c0_1(a1078)
          & ~ c1_1(a1078) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a1079)
          & ~ c0_1(a1079)
          & ~ c2_1(a1079) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ c0_1(a1080)
          & ~ c2_1(a1080)
          & ~ c1_1(a1080) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ~ c3_1(a1082)
          & ~ c2_1(a1082)
          & ~ c0_1(a1082) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c2_1(a1083)
          & c3_1(a1083)
          & ~ c1_1(a1083) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c1_1(a1088)
          & c3_1(a1088)
          & ~ c2_1(a1088) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ c2_1(a1089)
          & c0_1(a1089)
          & ~ c1_1(a1089) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ c3_1(a1091)
          & ~ c0_1(a1091)
          & ~ c2_1(a1091) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ c3_1(a1098)
          & c1_1(a1098)
          & ~ c0_1(a1098) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c3_1(a1101)
          & c1_1(a1101)
          & ~ c0_1(a1101) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & ~ c0_1(a1102)
          & c2_1(a1102)
          & ~ c1_1(a1102) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & ~ c1_1(a1021)
          & ~ c3_1(a1021)
          & c2_1(a1021) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & ~ c2_1(a1022)
          & c3_1(a1022)
          & c1_1(a1022) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a1028)
          & ~ c1_1(a1028)
          & c3_1(a1028) ) )
      & ( ~ hskp32
        | ( ndr1_0
          & ~ c0_1(a1029)
          & c1_1(a1029)
          & c2_1(a1029) ) )
      & ( ~ hskp33
        | ( ndr1_0
          & c3_1(a1031)
          & ~ c1_1(a1031)
          & c2_1(a1031) ) )
      & ( ~ hskp34
        | ( ndr1_0
          & ~ c2_1(a1032)
          & ~ c1_1(a1032)
          & c3_1(a1032) ) )
      & ( ~ hskp35
        | ( ndr1_0
          & c0_1(a1033)
          & c1_1(a1033)
          & c3_1(a1033) ) )
      & ( ~ hskp36
        | ( ndr1_0
          & c3_1(a1034)
          & ~ c0_1(a1034)
          & c1_1(a1034) ) )
      & ( ~ hskp37
        | ( ndr1_0
          & ~ c1_1(a1037)
          & c0_1(a1037)
          & c3_1(a1037) ) )
      & ( ~ hskp38
        | ( ndr1_0
          & c1_1(a1040)
          & c3_1(a1040)
          & c2_1(a1040) ) )
      & ( ~ hskp39
        | ( ndr1_0
          & c0_1(a1042)
          & ~ c1_1(a1042)
          & c2_1(a1042) ) )
      & ( ~ hskp40
        | ( ndr1_0
          & ~ c1_1(a1044)
          & c3_1(a1044)
          & c0_1(a1044) ) )
      & ( ~ hskp41
        | ( ndr1_0
          & ~ c1_1(a1045)
          & ~ c0_1(a1045)
          & c3_1(a1045) ) )
      & ( ~ hskp42
        | ( ndr1_0
          & ~ c2_1(a1046)
          & c1_1(a1046)
          & c0_1(a1046) ) )
      & ( ~ hskp43
        | ( ndr1_0
          & c0_1(a1049)
          & c2_1(a1049)
          & c1_1(a1049) ) )
      & ( ~ hskp44
        | ( ndr1_0
          & c1_1(a1051)
          & ~ c2_1(a1051)
          & c0_1(a1051) ) )
      & ( ~ hskp45
        | ( ndr1_0
          & c0_1(a1052)
          & c3_1(a1052)
          & c2_1(a1052) ) )
      & ( ~ hskp46
        | ( ndr1_0
          & ~ c1_1(a1053)
          & ~ c2_1(a1053)
          & c0_1(a1053) ) )
      & ( ~ hskp47
        | ( ndr1_0
          & c2_1(a1056)
          & c1_1(a1056)
          & c3_1(a1056) ) )
      & ( ~ hskp48
        | ( ndr1_0
          & c3_1(a1062)
          & c2_1(a1062)
          & c0_1(a1062) ) )
      & ( ~ hskp49
        | ( ndr1_0
          & ~ c0_1(a1065)
          & ~ c2_1(a1065)
          & c1_1(a1065) ) )
      & ( ~ hskp50
        | ( ndr1_0
          & ~ c0_1(a1069)
          & c3_1(a1069)
          & c1_1(a1069) ) )
      & ( ~ hskp51
        | ( ndr1_0
          & c2_1(a1070)
          & ~ c1_1(a1070)
          & c0_1(a1070) ) )
      & ( ~ hskp52
        | ( ndr1_0
          & c1_1(a1071)
          & c0_1(a1071)
          & c3_1(a1071) ) )
      & ( ~ hskp53
        | ( ndr1_0
          & c1_1(a1073)
          & c2_1(a1073)
          & c0_1(a1073) ) )
      & ( ~ hskp54
        | ( ndr1_0
          & c3_1(a1074)
          & c0_1(a1074)
          & c2_1(a1074) ) )
      & ( ~ hskp55
        | ( ndr1_0
          & c1_1(a1081)
          & ~ c0_1(a1081)
          & c3_1(a1081) ) )
      & ( ~ hskp56
        | ( ndr1_0
          & ~ c3_1(a1084)
          & ~ c1_1(a1084)
          & c0_1(a1084) ) )
      & ( ~ hskp57
        | ( ndr1_0
          & c2_1(a1085)
          & c0_1(a1085)
          & c3_1(a1085) ) )
      & ( ~ hskp58
        | ( ndr1_0
          & ~ c0_1(a1086)
          & c2_1(a1086)
          & c3_1(a1086) ) )
      & ( ~ hskp59
        | ( ndr1_0
          & ~ c0_1(a1095)
          & ~ c3_1(a1095)
          & c1_1(a1095) ) )
      & ( ~ hskp60
        | ( ndr1_0
          & c2_1(a1097)
          & ~ c0_1(a1097)
          & c3_1(a1097) ) )
      & ( ~ hskp61
        | ( ndr1_0
          & ~ c3_1(a1099)
          & ~ c0_1(a1099)
          & c2_1(a1099) ) )
      & ( ~ hskp62
        | ( ndr1_0
          & c2_1(a1103)
          & c3_1(a1103)
          & c1_1(a1103) ) )
      & ( ~ hskp63
        | ( ndr1_0
          & ~ c2_1(a1105)
          & c1_1(a1105)
          & c3_1(a1105) ) )
      & ( hskp0
        | hskp29
        | hskp30 )
      & ( ! [X0] :
            ( ndr1_0
           => ( ~ c3_1(X0)
              | c2_1(X0)
              | c1_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | ~ c0_1(X1)
              | ~ c2_1(X1) ) )
        | hskp1 )
      & ( hskp2
        | ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c2_1(X2)
              | c0_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( ~ c0_1(X3)
              | ~ c1_1(X3)
              | ~ c3_1(X3) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c3_1(X4)
              | c0_1(X4) ) )
        | hskp3
        | ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | ~ c0_1(X5)
              | c2_1(X5) ) ) )
      & ( hskp4
        | hskp5
        | ! [X6] :
            ( ndr1_0
           => ( ~ c0_1(X6)
              | ~ c2_1(X6)
              | c3_1(X6) ) ) )
      & ( hskp31
        | ! [X7] :
            ( ndr1_0
           => ( ~ c0_1(X7)
              | ~ c1_1(X7)
              | c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c3_1(X8) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( ~ c1_1(X9)
              | ~ c0_1(X9)
              | c3_1(X9) ) )
        | hskp32
        | hskp6 )
      & ( hskp33
        | ! [X10] :
            ( ndr1_0
           => ( ~ c1_1(X10)
              | c2_1(X10)
              | c0_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | ~ c3_1(X11)
              | ~ c2_1(X11) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | ~ c1_1(X12)
              | c3_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | c1_1(X13)
              | ~ c0_1(X13) ) )
        | hskp34 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | c0_1(X14)
              | c3_1(X14) ) )
        | hskp35
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c2_1(X15)
              | ~ c3_1(X15) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | ~ c1_1(X16)
              | c0_1(X16) ) )
        | hskp36
        | hskp7 )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c1_1(X17)
              | c0_1(X17) ) )
        | hskp8
        | hskp37 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c3_1(X18)
              | c2_1(X18) ) )
        | hskp9
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | ~ c3_1(X19)
              | c1_1(X19) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c0_1(X20) ) )
        | hskp10 )
      & ( ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c2_1(X21)
              | ~ c0_1(X21) ) )
        | hskp38
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | ~ c3_1(X22)
              | c1_1(X22) ) ) )
      & ( hskp11
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | ~ c3_1(X23)
              | ~ c1_1(X23) ) )
        | hskp39 )
      & ( hskp12
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | ~ c1_1(X24)
              | ~ c0_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | c2_1(X25)
              | ~ c0_1(X25) ) ) )
      & ( hskp40
        | hskp41
        | ! [X26] :
            ( ndr1_0
           => ( ~ c0_1(X26)
              | c1_1(X26)
              | ~ c2_1(X26) ) ) )
      & ( hskp42
        | ! [X27] :
            ( ndr1_0
           => ( c1_1(X27)
              | c0_1(X27)
              | ~ c2_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | ~ c3_1(X28)
              | c2_1(X28) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( ~ c0_1(X29)
              | c2_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c1_1(X30)
              | ~ c0_1(X30)
              | ~ c3_1(X30) ) )
        | hskp4 )
      & ( ! [X31] :
            ( ndr1_0
           => ( ~ c0_1(X31)
              | ~ c2_1(X31)
              | c3_1(X31) ) )
        | hskp13
        | hskp43 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | ~ c2_1(X32)
              | ~ c3_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c0_1(X33)
              | ~ c3_1(X33)
              | ~ c2_1(X33) ) )
        | hskp7 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | c3_1(X34)
              | c2_1(X34) ) )
        | hskp44
        | hskp45 )
      & ( hskp46
        | hskp38
        | hskp14 )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c0_1(X35)
              | ~ c2_1(X35)
              | c1_1(X35) ) )
        | hskp47
        | ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c0_1(X36)
              | c3_1(X36) ) ) )
      & ( hskp10
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c0_1(X37)
              | ~ c2_1(X37) ) )
        | hskp43 )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) )
        | hskp15
        | hskp33 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | ~ c1_1(X39)
              | c3_1(X39) ) )
        | hskp36
        | hskp48 )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c3_1(X40)
              | c2_1(X40) ) )
        | hskp42
        | hskp16 )
      & ( ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | ~ c0_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c3_1(X42)
              | c1_1(X42)
              | c0_1(X42) ) )
        | hskp49 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) )
        | hskp1
        | ! [X44] :
            ( ndr1_0
           => ( c1_1(X44)
              | c2_1(X44)
              | ~ c0_1(X44) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | c3_1(X45)
              | c0_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | ~ c2_1(X46)
              | c1_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c3_1(X47)
              | c1_1(X47)
              | ~ c2_1(X47) ) ) )
      & ( hskp7
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | ~ c1_1(X48)
              | c3_1(X48) ) )
        | hskp12 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c2_1(X49)
              | ~ c1_1(X49) ) )
        | hskp50
        | hskp51 )
      & ( ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | c0_1(X50)
              | c1_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | c3_1(X51)
              | c1_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | c1_1(X52)
              | c2_1(X52) ) ) )
      & ( hskp52
        | hskp34
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c1_1(X53)
              | ~ c0_1(X53) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | ~ c3_1(X54)
              | ~ c0_1(X54) ) )
        | hskp53
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | c1_1(X55)
              | ~ c2_1(X55) ) ) )
      & ( hskp54
        | hskp47
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c2_1(X56)
              | ~ c1_1(X56) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | ~ c3_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c3_1(X58)
              | ~ c0_1(X58)
              | c1_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | ~ c1_1(X59)
              | c3_1(X59) ) ) )
      & ( hskp39
        | hskp17
        | hskp18 )
      & ( hskp19
        | ! [X60] :
            ( ndr1_0
           => ( c1_1(X60)
              | ~ c0_1(X60)
              | c3_1(X60) ) )
        | hskp20 )
      & ( hskp55
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) )
        | hskp21 )
      & ( hskp22
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | c2_1(X62)
              | ~ c3_1(X62) ) )
        | hskp56 )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | c0_1(X63)
              | c2_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | c3_1(X64)
              | c1_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | ~ c1_1(X65)
              | c2_1(X65) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | ~ c3_1(X66)
              | c2_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c3_1(X67)
              | c1_1(X67) ) )
        | hskp57 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c2_1(X68)
              | ~ c1_1(X68)
              | ~ c3_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | c1_1(X69)
              | c2_1(X69) ) )
        | hskp58 )
      & ( hskp33
        | hskp23
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | ~ c2_1(X70)
              | ~ c3_1(X70) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( c0_1(X71)
              | ~ c1_1(X71)
              | ~ c3_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c0_1(X72)
              | c3_1(X72) ) )
        | hskp24 )
      & ( ! [X73] :
            ( ndr1_0
           => ( ~ c1_1(X73)
              | ~ c2_1(X73)
              | ~ c3_1(X73) ) )
        | hskp36
        | ! [X74] :
            ( ndr1_0
           => ( ~ c1_1(X74)
              | c0_1(X74)
              | ~ c3_1(X74) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | ~ c1_1(X75)
              | c0_1(X75) ) )
        | hskp25
        | ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | ~ c1_1(X76)
              | ~ c3_1(X76) ) ) )
      & ( hskp51
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | ~ c3_1(X77)
              | ~ c2_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | ~ c0_1(X78)
              | c2_1(X78) ) ) )
      & ( hskp48
        | ! [X79] :
            ( ndr1_0
           => ( c0_1(X79)
              | c2_1(X79)
              | c1_1(X79) ) )
        | hskp14 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c0_1(X80)
              | ~ c2_1(X80)
              | ~ c3_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c3_1(X81)
              | c1_1(X81)
              | ~ c2_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c0_1(X82)
              | c1_1(X82)
              | c2_1(X82) ) ) )
      & ( ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | ~ c0_1(X83)
              | ~ c2_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c0_1(X84)
              | ~ c3_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | ~ c1_1(X85)
              | ~ c2_1(X85) ) ) )
      & ( ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | c2_1(X86)
              | ~ c1_1(X86) ) )
        | hskp59
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | c0_1(X87)
              | c2_1(X87) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c3_1(X88)
              | c0_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | c3_1(X89)
              | ~ c1_1(X89) ) )
        | hskp35 )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c1_1(X90)
              | c2_1(X90) ) )
        | hskp60
        | hskp26 )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c1_1(X91)
              | c0_1(X91) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | c3_1(X92)
              | c2_1(X92) ) )
        | hskp61 )
      & ( hskp43
        | hskp27
        | hskp28 )
      & ( hskp62
        | hskp56
        | hskp63 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a1020)
            & ~ c1_1(a1020)
            & ~ c2_1(a1020) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a1023)
            & ~ c1_1(a1023)
            & ~ c0_1(a1023) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c2_1(a1024)
            & c1_1(a1024)
            & ~ c3_1(a1024) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c0_1(a1025)
            & ~ c3_1(a1025)
            & ~ c2_1(a1025) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a1026)
            & ~ c2_1(a1026)
            & ~ c1_1(a1026) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c1_1(a1027)
            & c2_1(a1027)
            & ~ c3_1(a1027) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c2_1(a1030)
            & ~ c3_1(a1030)
            & ~ c0_1(a1030) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a1035)
            & c1_1(a1035)
            & ~ c2_1(a1035) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a1036)
            & ~ c3_1(a1036)
            & ~ c1_1(a1036) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c1_1(a1038)
            & c2_1(a1038)
            & ~ c0_1(a1038) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a1039)
            & ~ c2_1(a1039)
            & ~ c0_1(a1039) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c3_1(a1041)
            & c1_1(a1041)
            & ~ c2_1(a1041) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c1_1(a1043)
            & c0_1(a1043)
            & ~ c3_1(a1043) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a1048)
            & c3_1(a1048)
            & ~ c2_1(a1048) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & ~ c0_1(a1055)
            & ~ c1_1(a1055)
            & ~ c2_1(a1055) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c3_1(a1059)
            & c2_1(a1059)
            & ~ c1_1(a1059) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a1064)
            & c0_1(a1064)
            & ~ c3_1(a1064) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c0_1(a1077)
            & c3_1(a1077)
            & ~ c2_1(a1077) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c2_1(a1078)
            & c0_1(a1078)
            & ~ c1_1(a1078) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a1079)
            & ~ c0_1(a1079)
            & ~ c2_1(a1079) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & ~ c0_1(a1080)
            & ~ c2_1(a1080)
            & ~ c1_1(a1080) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & ~ c3_1(a1082)
            & ~ c2_1(a1082)
            & ~ c0_1(a1082) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c2_1(a1083)
            & c3_1(a1083)
            & ~ c1_1(a1083) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c1_1(a1088)
            & c3_1(a1088)
            & ~ c2_1(a1088) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c2_1(a1089)
            & c0_1(a1089)
            & ~ c1_1(a1089) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c3_1(a1091)
            & ~ c0_1(a1091)
            & ~ c2_1(a1091) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & ~ c3_1(a1098)
            & c1_1(a1098)
            & ~ c0_1(a1098) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c3_1(a1101)
            & c1_1(a1101)
            & ~ c0_1(a1101) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & ~ c0_1(a1102)
            & c2_1(a1102)
            & ~ c1_1(a1102) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & ~ c1_1(a1021)
            & ~ c3_1(a1021)
            & c2_1(a1021) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & ~ c2_1(a1022)
            & c3_1(a1022)
            & c1_1(a1022) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a1028)
            & ~ c1_1(a1028)
            & c3_1(a1028) ) )
        & ( ~ hskp32
          | ( ndr1_0
            & ~ c0_1(a1029)
            & c1_1(a1029)
            & c2_1(a1029) ) )
        & ( ~ hskp33
          | ( ndr1_0
            & c3_1(a1031)
            & ~ c1_1(a1031)
            & c2_1(a1031) ) )
        & ( ~ hskp34
          | ( ndr1_0
            & ~ c2_1(a1032)
            & ~ c1_1(a1032)
            & c3_1(a1032) ) )
        & ( ~ hskp35
          | ( ndr1_0
            & c0_1(a1033)
            & c1_1(a1033)
            & c3_1(a1033) ) )
        & ( ~ hskp36
          | ( ndr1_0
            & c3_1(a1034)
            & ~ c0_1(a1034)
            & c1_1(a1034) ) )
        & ( ~ hskp37
          | ( ndr1_0
            & ~ c1_1(a1037)
            & c0_1(a1037)
            & c3_1(a1037) ) )
        & ( ~ hskp38
          | ( ndr1_0
            & c1_1(a1040)
            & c3_1(a1040)
            & c2_1(a1040) ) )
        & ( ~ hskp39
          | ( ndr1_0
            & c0_1(a1042)
            & ~ c1_1(a1042)
            & c2_1(a1042) ) )
        & ( ~ hskp40
          | ( ndr1_0
            & ~ c1_1(a1044)
            & c3_1(a1044)
            & c0_1(a1044) ) )
        & ( ~ hskp41
          | ( ndr1_0
            & ~ c1_1(a1045)
            & ~ c0_1(a1045)
            & c3_1(a1045) ) )
        & ( ~ hskp42
          | ( ndr1_0
            & ~ c2_1(a1046)
            & c1_1(a1046)
            & c0_1(a1046) ) )
        & ( ~ hskp43
          | ( ndr1_0
            & c0_1(a1049)
            & c2_1(a1049)
            & c1_1(a1049) ) )
        & ( ~ hskp44
          | ( ndr1_0
            & c1_1(a1051)
            & ~ c2_1(a1051)
            & c0_1(a1051) ) )
        & ( ~ hskp45
          | ( ndr1_0
            & c0_1(a1052)
            & c3_1(a1052)
            & c2_1(a1052) ) )
        & ( ~ hskp46
          | ( ndr1_0
            & ~ c1_1(a1053)
            & ~ c2_1(a1053)
            & c0_1(a1053) ) )
        & ( ~ hskp47
          | ( ndr1_0
            & c2_1(a1056)
            & c1_1(a1056)
            & c3_1(a1056) ) )
        & ( ~ hskp48
          | ( ndr1_0
            & c3_1(a1062)
            & c2_1(a1062)
            & c0_1(a1062) ) )
        & ( ~ hskp49
          | ( ndr1_0
            & ~ c0_1(a1065)
            & ~ c2_1(a1065)
            & c1_1(a1065) ) )
        & ( ~ hskp50
          | ( ndr1_0
            & ~ c0_1(a1069)
            & c3_1(a1069)
            & c1_1(a1069) ) )
        & ( ~ hskp51
          | ( ndr1_0
            & c2_1(a1070)
            & ~ c1_1(a1070)
            & c0_1(a1070) ) )
        & ( ~ hskp52
          | ( ndr1_0
            & c1_1(a1071)
            & c0_1(a1071)
            & c3_1(a1071) ) )
        & ( ~ hskp53
          | ( ndr1_0
            & c1_1(a1073)
            & c2_1(a1073)
            & c0_1(a1073) ) )
        & ( ~ hskp54
          | ( ndr1_0
            & c3_1(a1074)
            & c0_1(a1074)
            & c2_1(a1074) ) )
        & ( ~ hskp55
          | ( ndr1_0
            & c1_1(a1081)
            & ~ c0_1(a1081)
            & c3_1(a1081) ) )
        & ( ~ hskp56
          | ( ndr1_0
            & ~ c3_1(a1084)
            & ~ c1_1(a1084)
            & c0_1(a1084) ) )
        & ( ~ hskp57
          | ( ndr1_0
            & c2_1(a1085)
            & c0_1(a1085)
            & c3_1(a1085) ) )
        & ( ~ hskp58
          | ( ndr1_0
            & ~ c0_1(a1086)
            & c2_1(a1086)
            & c3_1(a1086) ) )
        & ( ~ hskp59
          | ( ndr1_0
            & ~ c0_1(a1095)
            & ~ c3_1(a1095)
            & c1_1(a1095) ) )
        & ( ~ hskp60
          | ( ndr1_0
            & c2_1(a1097)
            & ~ c0_1(a1097)
            & c3_1(a1097) ) )
        & ( ~ hskp61
          | ( ndr1_0
            & ~ c3_1(a1099)
            & ~ c0_1(a1099)
            & c2_1(a1099) ) )
        & ( ~ hskp62
          | ( ndr1_0
            & c2_1(a1103)
            & c3_1(a1103)
            & c1_1(a1103) ) )
        & ( ~ hskp63
          | ( ndr1_0
            & ~ c2_1(a1105)
            & c1_1(a1105)
            & c3_1(a1105) ) )
        & ( hskp0
          | hskp29
          | hskp30 )
        & ( ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | c2_1(X0)
                | c1_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | ~ c0_1(X1)
                | ~ c2_1(X1) ) )
          | hskp1 )
        & ( hskp2
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c2_1(X2)
                | c0_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c0_1(X3)
                | ~ c1_1(X3)
                | ~ c3_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c3_1(X4)
                | c0_1(X4) ) )
          | hskp3
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | ~ c0_1(X5)
                | c2_1(X5) ) ) )
        & ( hskp4
          | hskp5
          | ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | ~ c2_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp31
          | ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | ~ c1_1(X7)
                | c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c3_1(X8) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c0_1(X9)
                | c3_1(X9) ) )
          | hskp32
          | hskp6 )
        & ( hskp33
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | c2_1(X10)
                | c0_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c3_1(X11)
                | ~ c2_1(X11) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | ~ c1_1(X12)
                | c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | c1_1(X13)
                | ~ c0_1(X13) ) )
          | hskp34 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | c0_1(X14)
                | c3_1(X14) ) )
          | hskp35
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c2_1(X15)
                | ~ c3_1(X15) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | ~ c1_1(X16)
                | c0_1(X16) ) )
          | hskp36
          | hskp7 )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c1_1(X17)
                | c0_1(X17) ) )
          | hskp8
          | hskp37 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) )
          | hskp9
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | ~ c3_1(X19)
                | c1_1(X19) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) )
          | hskp10 )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c2_1(X21)
                | ~ c0_1(X21) ) )
          | hskp38
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | ~ c3_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp11
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | ~ c3_1(X23)
                | ~ c1_1(X23) ) )
          | hskp39 )
        & ( hskp12
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c1_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c2_1(X25)
                | ~ c0_1(X25) ) ) )
        & ( hskp40
          | hskp41
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | c1_1(X26)
                | ~ c2_1(X26) ) ) )
        & ( hskp42
          | ! [X27] :
              ( ndr1_0
             => ( c1_1(X27)
                | c0_1(X27)
                | ~ c2_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | ~ c3_1(X28)
                | c2_1(X28) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c1_1(X30)
                | ~ c0_1(X30)
                | ~ c3_1(X30) ) )
          | hskp4 )
        & ( ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | ~ c2_1(X31)
                | c3_1(X31) ) )
          | hskp13
          | hskp43 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | ~ c2_1(X32)
                | ~ c3_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | ~ c3_1(X33)
                | ~ c2_1(X33) ) )
          | hskp7 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c3_1(X34)
                | c2_1(X34) ) )
          | hskp44
          | hskp45 )
        & ( hskp46
          | hskp38
          | hskp14 )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | ~ c2_1(X35)
                | c1_1(X35) ) )
          | hskp47
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c3_1(X36) ) ) )
        & ( hskp10
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c0_1(X37)
                | ~ c2_1(X37) ) )
          | hskp43 )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) )
          | hskp15
          | hskp33 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c1_1(X39)
                | c3_1(X39) ) )
          | hskp36
          | hskp48 )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c3_1(X40)
                | c2_1(X40) ) )
          | hskp42
          | hskp16 )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | c1_1(X42)
                | c0_1(X42) ) )
          | hskp49 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) )
          | hskp1
          | ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | c2_1(X44)
                | ~ c0_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | c3_1(X45)
                | c0_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | ~ c2_1(X46)
                | c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | c1_1(X47)
                | ~ c2_1(X47) ) ) )
        & ( hskp7
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | c3_1(X48) ) )
          | hskp12 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c2_1(X49)
                | ~ c1_1(X49) ) )
          | hskp50
          | hskp51 )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c0_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c3_1(X51)
                | c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c1_1(X52)
                | c2_1(X52) ) ) )
        & ( hskp52
          | hskp34
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c1_1(X53)
                | ~ c0_1(X53) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c3_1(X54)
                | ~ c0_1(X54) ) )
          | hskp53
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c1_1(X55)
                | ~ c2_1(X55) ) ) )
        & ( hskp54
          | hskp47
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | ~ c1_1(X56) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | ~ c1_1(X59)
                | c3_1(X59) ) ) )
        & ( hskp39
          | hskp17
          | hskp18 )
        & ( hskp19
          | ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | ~ c0_1(X60)
                | c3_1(X60) ) )
          | hskp20 )
        & ( hskp55
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) )
          | hskp21 )
        & ( hskp22
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c2_1(X62)
                | ~ c3_1(X62) ) )
          | hskp56 )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c0_1(X63)
                | c2_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | c3_1(X64)
                | c1_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | ~ c1_1(X65)
                | c2_1(X65) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | ~ c3_1(X66)
                | c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c3_1(X67)
                | c1_1(X67) ) )
          | hskp57 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | ~ c1_1(X68)
                | ~ c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c1_1(X69)
                | c2_1(X69) ) )
          | hskp58 )
        & ( hskp33
          | hskp23
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | ~ c2_1(X70)
                | ~ c3_1(X70) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( c0_1(X71)
                | ~ c1_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c0_1(X72)
                | c3_1(X72) ) )
          | hskp24 )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | ~ c2_1(X73)
                | ~ c3_1(X73) ) )
          | hskp36
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c0_1(X74)
                | ~ c3_1(X74) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | ~ c1_1(X75)
                | c0_1(X75) ) )
          | hskp25
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c1_1(X76)
                | ~ c3_1(X76) ) ) )
        & ( hskp51
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | ~ c3_1(X77)
                | ~ c2_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | ~ c0_1(X78)
                | c2_1(X78) ) ) )
        & ( hskp48
          | ! [X79] :
              ( ndr1_0
             => ( c0_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) )
          | hskp14 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c0_1(X80)
                | ~ c2_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c1_1(X81)
                | ~ c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | c1_1(X82)
                | c2_1(X82) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | ~ c0_1(X83)
                | ~ c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c0_1(X84)
                | ~ c3_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | ~ c1_1(X85)
                | ~ c2_1(X85) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | c2_1(X86)
                | ~ c1_1(X86) ) )
          | hskp59
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | c0_1(X87)
                | c2_1(X87) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c3_1(X88)
                | c0_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c3_1(X89)
                | ~ c1_1(X89) ) )
          | hskp35 )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c1_1(X90)
                | c2_1(X90) ) )
          | hskp60
          | hskp26 )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c1_1(X91)
                | c0_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c3_1(X92)
                | c2_1(X92) ) )
          | hskp61 )
        & ( hskp43
          | hskp27
          | hskp28 )
        & ( hskp62
          | hskp56
          | hskp63 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1020)
        & ~ c1_1(a1020)
        & ~ c2_1(a1020) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a1023)
        & ~ c1_1(a1023)
        & ~ c0_1(a1023) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a1024)
        & c1_1(a1024)
        & ~ c3_1(a1024) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a1025)
        & ~ c3_1(a1025)
        & ~ c2_1(a1025) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a1026)
        & ~ c2_1(a1026)
        & ~ c1_1(a1026) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a1027)
        & c2_1(a1027)
        & ~ c3_1(a1027) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c2_1(a1030)
        & ~ c3_1(a1030)
        & ~ c0_1(a1030) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a1035)
        & c1_1(a1035)
        & ~ c2_1(a1035) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1036)
        & ~ c3_1(a1036)
        & ~ c1_1(a1036) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c1_1(a1038)
        & c2_1(a1038)
        & ~ c0_1(a1038) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a1039)
        & ~ c2_1(a1039)
        & ~ c0_1(a1039) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c3_1(a1041)
        & c1_1(a1041)
        & ~ c2_1(a1041) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c1_1(a1043)
        & c0_1(a1043)
        & ~ c3_1(a1043) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a1048)
        & c3_1(a1048)
        & ~ c2_1(a1048) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a1055)
        & ~ c1_1(a1055)
        & ~ c2_1(a1055) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a1059)
        & c2_1(a1059)
        & ~ c1_1(a1059) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a1064)
        & c0_1(a1064)
        & ~ c3_1(a1064) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a1077)
        & c3_1(a1077)
        & ~ c2_1(a1077) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c2_1(a1078)
        & c0_1(a1078)
        & ~ c1_1(a1078) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a1079)
        & ~ c0_1(a1079)
        & ~ c2_1(a1079) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c0_1(a1080)
        & ~ c2_1(a1080)
        & ~ c1_1(a1080) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c3_1(a1082)
        & ~ c2_1(a1082)
        & ~ c0_1(a1082) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a1083)
        & c3_1(a1083)
        & ~ c1_1(a1083) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a1088)
        & c3_1(a1088)
        & ~ c2_1(a1088) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c2_1(a1089)
        & c0_1(a1089)
        & ~ c1_1(a1089) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c3_1(a1091)
        & ~ c0_1(a1091)
        & ~ c2_1(a1091) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c3_1(a1098)
        & c1_1(a1098)
        & ~ c0_1(a1098) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c3_1(a1101)
        & c1_1(a1101)
        & ~ c0_1(a1101) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ~ c0_1(a1102)
        & c2_1(a1102)
        & ~ c1_1(a1102) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ~ c1_1(a1021)
        & ~ c3_1(a1021)
        & c2_1(a1021) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ~ c2_1(a1022)
        & c3_1(a1022)
        & c1_1(a1022) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a1028)
        & ~ c1_1(a1028)
        & c3_1(a1028) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & ~ c0_1(a1029)
        & c1_1(a1029)
        & c2_1(a1029) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & c3_1(a1031)
        & ~ c1_1(a1031)
        & c2_1(a1031) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & ~ c2_1(a1032)
        & ~ c1_1(a1032)
        & c3_1(a1032) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & c0_1(a1033)
        & c1_1(a1033)
        & c3_1(a1033) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & c3_1(a1034)
        & ~ c0_1(a1034)
        & c1_1(a1034) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & ~ c1_1(a1037)
        & c0_1(a1037)
        & c3_1(a1037) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & c1_1(a1040)
        & c3_1(a1040)
        & c2_1(a1040) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & c0_1(a1042)
        & ~ c1_1(a1042)
        & c2_1(a1042) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & ~ c1_1(a1044)
        & c3_1(a1044)
        & c0_1(a1044) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & ~ c1_1(a1045)
        & ~ c0_1(a1045)
        & c3_1(a1045) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & ~ c2_1(a1046)
        & c1_1(a1046)
        & c0_1(a1046) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & c0_1(a1049)
        & c2_1(a1049)
        & c1_1(a1049) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & c1_1(a1051)
        & ~ c2_1(a1051)
        & c0_1(a1051) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & c0_1(a1052)
        & c3_1(a1052)
        & c2_1(a1052) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & ~ c1_1(a1053)
        & ~ c2_1(a1053)
        & c0_1(a1053) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & c2_1(a1056)
        & c1_1(a1056)
        & c3_1(a1056) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & c3_1(a1062)
        & c2_1(a1062)
        & c0_1(a1062) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & ~ c0_1(a1065)
        & ~ c2_1(a1065)
        & c1_1(a1065) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & ~ c0_1(a1069)
        & c3_1(a1069)
        & c1_1(a1069) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & c2_1(a1070)
        & ~ c1_1(a1070)
        & c0_1(a1070) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & c1_1(a1071)
        & c0_1(a1071)
        & c3_1(a1071) ) )
    & ( ~ hskp53
      | ( ndr1_0
        & c1_1(a1073)
        & c2_1(a1073)
        & c0_1(a1073) ) )
    & ( ~ hskp54
      | ( ndr1_0
        & c3_1(a1074)
        & c0_1(a1074)
        & c2_1(a1074) ) )
    & ( ~ hskp55
      | ( ndr1_0
        & c1_1(a1081)
        & ~ c0_1(a1081)
        & c3_1(a1081) ) )
    & ( ~ hskp56
      | ( ndr1_0
        & ~ c3_1(a1084)
        & ~ c1_1(a1084)
        & c0_1(a1084) ) )
    & ( ~ hskp57
      | ( ndr1_0
        & c2_1(a1085)
        & c0_1(a1085)
        & c3_1(a1085) ) )
    & ( ~ hskp58
      | ( ndr1_0
        & ~ c0_1(a1086)
        & c2_1(a1086)
        & c3_1(a1086) ) )
    & ( ~ hskp59
      | ( ndr1_0
        & ~ c0_1(a1095)
        & ~ c3_1(a1095)
        & c1_1(a1095) ) )
    & ( ~ hskp60
      | ( ndr1_0
        & c2_1(a1097)
        & ~ c0_1(a1097)
        & c3_1(a1097) ) )
    & ( ~ hskp61
      | ( ndr1_0
        & ~ c3_1(a1099)
        & ~ c0_1(a1099)
        & c2_1(a1099) ) )
    & ( ~ hskp62
      | ( ndr1_0
        & c2_1(a1103)
        & c3_1(a1103)
        & c1_1(a1103) ) )
    & ( ~ hskp63
      | ( ndr1_0
        & ~ c2_1(a1105)
        & c1_1(a1105)
        & c3_1(a1105) ) )
    & ( hskp0
      | hskp29
      | hskp30 )
    & ( ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | c2_1(X0)
            | c1_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | ~ c0_1(X1)
            | ~ c2_1(X1) ) )
      | hskp1 )
    & ( hskp2
      | ! [X2] :
          ( ndr1_0
         => ( c3_1(X2)
            | c2_1(X2)
            | c0_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c0_1(X3)
            | ~ c1_1(X3)
            | ~ c3_1(X3) ) ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( c2_1(X4)
            | c3_1(X4)
            | c0_1(X4) ) )
      | hskp3
      | ! [X5] :
          ( ndr1_0
         => ( c1_1(X5)
            | ~ c0_1(X5)
            | c2_1(X5) ) ) )
    & ( hskp4
      | hskp5
      | ! [X6] :
          ( ndr1_0
         => ( ~ c0_1(X6)
            | ~ c2_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp31
      | ! [X7] :
          ( ndr1_0
         => ( ~ c0_1(X7)
            | ~ c1_1(X7)
            | c2_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | c1_1(X8)
            | c3_1(X8) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c0_1(X9)
            | c3_1(X9) ) )
      | hskp32
      | hskp6 )
    & ( hskp33
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | c2_1(X10)
            | c0_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c3_1(X11)
            | ~ c2_1(X11) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( c2_1(X12)
            | ~ c1_1(X12)
            | c3_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c3_1(X13)
            | c1_1(X13)
            | ~ c0_1(X13) ) )
      | hskp34 )
    & ( ! [X14] :
          ( ndr1_0
         => ( c2_1(X14)
            | c0_1(X14)
            | c3_1(X14) ) )
      | hskp35
      | ! [X15] :
          ( ndr1_0
         => ( c0_1(X15)
            | c2_1(X15)
            | ~ c3_1(X15) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | ~ c1_1(X16)
            | c0_1(X16) ) )
      | hskp36
      | hskp7 )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c1_1(X17)
            | c0_1(X17) ) )
      | hskp8
      | hskp37 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) )
      | hskp9
      | ! [X19] :
          ( ndr1_0
         => ( c0_1(X19)
            | ~ c3_1(X19)
            | c1_1(X19) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( c3_1(X20)
            | c2_1(X20)
            | c0_1(X20) ) )
      | hskp10 )
    & ( ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | c2_1(X21)
            | ~ c0_1(X21) ) )
      | hskp38
      | ! [X22] :
          ( ndr1_0
         => ( ~ c0_1(X22)
            | ~ c3_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp11
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | ~ c3_1(X23)
            | ~ c1_1(X23) ) )
      | hskp39 )
    & ( hskp12
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | ~ c1_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | c2_1(X25)
            | ~ c0_1(X25) ) ) )
    & ( hskp40
      | hskp41
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | c1_1(X26)
            | ~ c2_1(X26) ) ) )
    & ( hskp42
      | ! [X27] :
          ( ndr1_0
         => ( c1_1(X27)
            | c0_1(X27)
            | ~ c2_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | ~ c3_1(X28)
            | c2_1(X28) ) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c2_1(X29)
            | ~ c1_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( c1_1(X30)
            | ~ c0_1(X30)
            | ~ c3_1(X30) ) )
      | hskp4 )
    & ( ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | ~ c2_1(X31)
            | c3_1(X31) ) )
      | hskp13
      | hskp43 )
    & ( ! [X32] :
          ( ndr1_0
         => ( c0_1(X32)
            | ~ c2_1(X32)
            | ~ c3_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | ~ c3_1(X33)
            | ~ c2_1(X33) ) )
      | hskp7 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c1_1(X34)
            | c3_1(X34)
            | c2_1(X34) ) )
      | hskp44
      | hskp45 )
    & ( hskp46
      | hskp38
      | hskp14 )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | ~ c2_1(X35)
            | c1_1(X35) ) )
      | hskp47
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c0_1(X36)
            | c3_1(X36) ) ) )
    & ( hskp10
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | c0_1(X37)
            | ~ c2_1(X37) ) )
      | hskp43 )
    & ( ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c0_1(X38) ) )
      | hskp15
      | hskp33 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | ~ c1_1(X39)
            | c3_1(X39) ) )
      | hskp36
      | hskp48 )
    & ( ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | c3_1(X40)
            | c2_1(X40) ) )
      | hskp42
      | hskp16 )
    & ( ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | ~ c0_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c3_1(X42)
            | c1_1(X42)
            | c0_1(X42) ) )
      | hskp49 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | c2_1(X43)
            | c0_1(X43) ) )
      | hskp1
      | ! [X44] :
          ( ndr1_0
         => ( c1_1(X44)
            | c2_1(X44)
            | ~ c0_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | c3_1(X45)
            | c0_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c0_1(X46)
            | ~ c2_1(X46)
            | c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c3_1(X47)
            | c1_1(X47)
            | ~ c2_1(X47) ) ) )
    & ( hskp7
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c1_1(X48)
            | c3_1(X48) ) )
      | hskp12 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c0_1(X49)
            | ~ c2_1(X49)
            | ~ c1_1(X49) ) )
      | hskp50
      | hskp51 )
    & ( ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | c0_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | c3_1(X51)
            | c1_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c3_1(X52)
            | c1_1(X52)
            | c2_1(X52) ) ) )
    & ( hskp52
      | hskp34
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | c1_1(X53)
            | ~ c0_1(X53) ) ) )
    & ( ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c3_1(X54)
            | ~ c0_1(X54) ) )
      | hskp53
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | c1_1(X55)
            | ~ c2_1(X55) ) ) )
    & ( hskp54
      | hskp47
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | ~ c1_1(X56) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | ~ c1_1(X57)
            | ~ c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c3_1(X58)
            | ~ c0_1(X58)
            | c1_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | ~ c1_1(X59)
            | c3_1(X59) ) ) )
    & ( hskp39
      | hskp17
      | hskp18 )
    & ( hskp19
      | ! [X60] :
          ( ndr1_0
         => ( c1_1(X60)
            | ~ c0_1(X60)
            | c3_1(X60) ) )
      | hskp20 )
    & ( hskp55
      | ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | c2_1(X61)
            | c1_1(X61) ) )
      | hskp21 )
    & ( hskp22
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c2_1(X62)
            | ~ c3_1(X62) ) )
      | hskp56 )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c0_1(X63)
            | c2_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c0_1(X64)
            | c3_1(X64)
            | c1_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c3_1(X65)
            | ~ c1_1(X65)
            | c2_1(X65) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | ~ c3_1(X66)
            | c2_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c3_1(X67)
            | c1_1(X67) ) )
      | hskp57 )
    & ( ! [X68] :
          ( ndr1_0
         => ( c2_1(X68)
            | ~ c1_1(X68)
            | ~ c3_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | c1_1(X69)
            | c2_1(X69) ) )
      | hskp58 )
    & ( hskp33
      | hskp23
      | ! [X70] :
          ( ndr1_0
         => ( ~ c0_1(X70)
            | ~ c2_1(X70)
            | ~ c3_1(X70) ) ) )
    & ( ! [X71] :
          ( ndr1_0
         => ( c0_1(X71)
            | ~ c1_1(X71)
            | ~ c3_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( c1_1(X72)
            | c0_1(X72)
            | c3_1(X72) ) )
      | hskp24 )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | ~ c2_1(X73)
            | ~ c3_1(X73) ) )
      | hskp36
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c0_1(X74)
            | ~ c3_1(X74) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( c2_1(X75)
            | ~ c1_1(X75)
            | c0_1(X75) ) )
      | hskp25
      | ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | ~ c1_1(X76)
            | ~ c3_1(X76) ) ) )
    & ( hskp51
      | ! [X77] :
          ( ndr1_0
         => ( ~ c0_1(X77)
            | ~ c3_1(X77)
            | ~ c2_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( c1_1(X78)
            | ~ c0_1(X78)
            | c2_1(X78) ) ) )
    & ( hskp48
      | ! [X79] :
          ( ndr1_0
         => ( c0_1(X79)
            | c2_1(X79)
            | c1_1(X79) ) )
      | hskp14 )
    & ( ! [X80] :
          ( ndr1_0
         => ( c0_1(X80)
            | ~ c2_1(X80)
            | ~ c3_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c1_1(X81)
            | ~ c2_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c0_1(X82)
            | c1_1(X82)
            | c2_1(X82) ) ) )
    & ( ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | ~ c0_1(X83)
            | ~ c2_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | ~ c0_1(X84)
            | ~ c3_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | ~ c1_1(X85)
            | ~ c2_1(X85) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | c2_1(X86)
            | ~ c1_1(X86) ) )
      | hskp59
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | c0_1(X87)
            | c2_1(X87) ) ) )
    & ( ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | ~ c3_1(X88)
            | c0_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | c3_1(X89)
            | ~ c1_1(X89) ) )
      | hskp35 )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c0_1(X90)
            | c1_1(X90)
            | c2_1(X90) ) )
      | hskp60
      | hskp26 )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c1_1(X91)
            | c0_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | c3_1(X92)
            | c2_1(X92) ) )
      | hskp61 )
    & ( hskp43
      | hskp27
      | hskp28 )
    & ( hskp62
      | hskp56
      | hskp63 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1020)
        & ~ c1_1(a1020)
        & ~ c2_1(a1020) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a1023)
        & ~ c1_1(a1023)
        & ~ c0_1(a1023) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a1024)
        & c1_1(a1024)
        & ~ c3_1(a1024) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a1025)
        & ~ c3_1(a1025)
        & ~ c2_1(a1025) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a1026)
        & ~ c2_1(a1026)
        & ~ c1_1(a1026) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a1027)
        & c2_1(a1027)
        & ~ c3_1(a1027) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c2_1(a1030)
        & ~ c3_1(a1030)
        & ~ c0_1(a1030) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a1035)
        & c1_1(a1035)
        & ~ c2_1(a1035) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1036)
        & ~ c3_1(a1036)
        & ~ c1_1(a1036) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c1_1(a1038)
        & c2_1(a1038)
        & ~ c0_1(a1038) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a1039)
        & ~ c2_1(a1039)
        & ~ c0_1(a1039) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c3_1(a1041)
        & c1_1(a1041)
        & ~ c2_1(a1041) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c1_1(a1043)
        & c0_1(a1043)
        & ~ c3_1(a1043) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a1048)
        & c3_1(a1048)
        & ~ c2_1(a1048) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a1055)
        & ~ c1_1(a1055)
        & ~ c2_1(a1055) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a1059)
        & c2_1(a1059)
        & ~ c1_1(a1059) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a1064)
        & c0_1(a1064)
        & ~ c3_1(a1064) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a1077)
        & c3_1(a1077)
        & ~ c2_1(a1077) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c2_1(a1078)
        & c0_1(a1078)
        & ~ c1_1(a1078) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a1079)
        & ~ c0_1(a1079)
        & ~ c2_1(a1079) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c0_1(a1080)
        & ~ c2_1(a1080)
        & ~ c1_1(a1080) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c3_1(a1082)
        & ~ c2_1(a1082)
        & ~ c0_1(a1082) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a1083)
        & c3_1(a1083)
        & ~ c1_1(a1083) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a1088)
        & c3_1(a1088)
        & ~ c2_1(a1088) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c2_1(a1089)
        & c0_1(a1089)
        & ~ c1_1(a1089) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c3_1(a1091)
        & ~ c0_1(a1091)
        & ~ c2_1(a1091) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c3_1(a1098)
        & c1_1(a1098)
        & ~ c0_1(a1098) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c3_1(a1101)
        & c1_1(a1101)
        & ~ c0_1(a1101) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ~ c0_1(a1102)
        & c2_1(a1102)
        & ~ c1_1(a1102) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ~ c1_1(a1021)
        & ~ c3_1(a1021)
        & c2_1(a1021) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ~ c2_1(a1022)
        & c3_1(a1022)
        & c1_1(a1022) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a1028)
        & ~ c1_1(a1028)
        & c3_1(a1028) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & ~ c0_1(a1029)
        & c1_1(a1029)
        & c2_1(a1029) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & c3_1(a1031)
        & ~ c1_1(a1031)
        & c2_1(a1031) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & ~ c2_1(a1032)
        & ~ c1_1(a1032)
        & c3_1(a1032) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & c0_1(a1033)
        & c1_1(a1033)
        & c3_1(a1033) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & c3_1(a1034)
        & ~ c0_1(a1034)
        & c1_1(a1034) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & ~ c1_1(a1037)
        & c0_1(a1037)
        & c3_1(a1037) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & c1_1(a1040)
        & c3_1(a1040)
        & c2_1(a1040) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & c0_1(a1042)
        & ~ c1_1(a1042)
        & c2_1(a1042) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & ~ c1_1(a1044)
        & c3_1(a1044)
        & c0_1(a1044) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & ~ c1_1(a1045)
        & ~ c0_1(a1045)
        & c3_1(a1045) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & ~ c2_1(a1046)
        & c1_1(a1046)
        & c0_1(a1046) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & c0_1(a1049)
        & c2_1(a1049)
        & c1_1(a1049) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & c1_1(a1051)
        & ~ c2_1(a1051)
        & c0_1(a1051) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & c0_1(a1052)
        & c3_1(a1052)
        & c2_1(a1052) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & ~ c1_1(a1053)
        & ~ c2_1(a1053)
        & c0_1(a1053) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & c2_1(a1056)
        & c1_1(a1056)
        & c3_1(a1056) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & c3_1(a1062)
        & c2_1(a1062)
        & c0_1(a1062) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & ~ c0_1(a1065)
        & ~ c2_1(a1065)
        & c1_1(a1065) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & ~ c0_1(a1069)
        & c3_1(a1069)
        & c1_1(a1069) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & c2_1(a1070)
        & ~ c1_1(a1070)
        & c0_1(a1070) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & c1_1(a1071)
        & c0_1(a1071)
        & c3_1(a1071) ) )
    & ( ~ hskp53
      | ( ndr1_0
        & c1_1(a1073)
        & c2_1(a1073)
        & c0_1(a1073) ) )
    & ( ~ hskp54
      | ( ndr1_0
        & c3_1(a1074)
        & c0_1(a1074)
        & c2_1(a1074) ) )
    & ( ~ hskp55
      | ( ndr1_0
        & c1_1(a1081)
        & ~ c0_1(a1081)
        & c3_1(a1081) ) )
    & ( ~ hskp56
      | ( ndr1_0
        & ~ c3_1(a1084)
        & ~ c1_1(a1084)
        & c0_1(a1084) ) )
    & ( ~ hskp57
      | ( ndr1_0
        & c2_1(a1085)
        & c0_1(a1085)
        & c3_1(a1085) ) )
    & ( ~ hskp58
      | ( ndr1_0
        & ~ c0_1(a1086)
        & c2_1(a1086)
        & c3_1(a1086) ) )
    & ( ~ hskp59
      | ( ndr1_0
        & ~ c0_1(a1095)
        & ~ c3_1(a1095)
        & c1_1(a1095) ) )
    & ( ~ hskp60
      | ( ndr1_0
        & c2_1(a1097)
        & ~ c0_1(a1097)
        & c3_1(a1097) ) )
    & ( ~ hskp61
      | ( ndr1_0
        & ~ c3_1(a1099)
        & ~ c0_1(a1099)
        & c2_1(a1099) ) )
    & ( ~ hskp62
      | ( ndr1_0
        & c2_1(a1103)
        & c3_1(a1103)
        & c1_1(a1103) ) )
    & ( ~ hskp63
      | ( ndr1_0
        & ~ c2_1(a1105)
        & c1_1(a1105)
        & c3_1(a1105) ) )
    & ( hskp0
      | hskp29
      | hskp30 )
    & ( ! [X0] :
          ( ~ c3_1(X0)
          | c2_1(X0)
          | c1_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | ~ c0_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | hskp1 )
    & ( hskp2
      | ! [X2] :
          ( c3_1(X2)
          | c2_1(X2)
          | c0_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c0_1(X3)
          | ~ c1_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( c2_1(X4)
          | c3_1(X4)
          | c0_1(X4)
          | ~ ndr1_0 )
      | hskp3
      | ! [X5] :
          ( c1_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp5
      | ! [X6] :
          ( ~ c0_1(X6)
          | ~ c2_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X7] :
          ( ~ c0_1(X7)
          | ~ c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c2_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | hskp32
      | hskp6 )
    & ( hskp33
      | ! [X10] :
          ( ~ c1_1(X10)
          | c2_1(X10)
          | c0_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c2_1(X12)
          | ~ c1_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c3_1(X13)
          | c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | hskp34 )
    & ( ! [X14] :
          ( c2_1(X14)
          | c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | hskp35
      | ! [X15] :
          ( c0_1(X15)
          | c2_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( c2_1(X16)
          | ~ c1_1(X16)
          | c0_1(X16)
          | ~ ndr1_0 )
      | hskp36
      | hskp7 )
    & ( ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | c0_1(X17)
          | ~ ndr1_0 )
      | hskp8
      | hskp37 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | hskp9
      | ! [X19] :
          ( c0_1(X19)
          | ~ c3_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c3_1(X20)
          | c2_1(X20)
          | c0_1(X20)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X21] :
          ( ~ c3_1(X21)
          | c2_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | hskp38
      | ! [X22] :
          ( ~ c0_1(X22)
          | ~ c3_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X23] :
          ( ~ c0_1(X23)
          | ~ c3_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | hskp39 )
    & ( hskp12
      | ! [X24] :
          ( ~ c2_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | c2_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp40
      | hskp41
      | ! [X26] :
          ( ~ c0_1(X26)
          | c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp42
      | ! [X27] :
          ( c1_1(X27)
          | c0_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c1_1(X28)
          | ~ c3_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( ~ c0_1(X29)
          | c2_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c1_1(X30)
          | ~ c0_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X31] :
          ( ~ c0_1(X31)
          | ~ c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | hskp13
      | hskp43 )
    & ( ! [X32] :
          ( c0_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | ~ c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X34] :
          ( c1_1(X34)
          | c3_1(X34)
          | c2_1(X34)
          | ~ ndr1_0 )
      | hskp44
      | hskp45 )
    & ( hskp46
      | hskp38
      | hskp14 )
    & ( ! [X35] :
          ( ~ c0_1(X35)
          | ~ c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 )
      | hskp47
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X37] :
          ( ~ c1_1(X37)
          | c0_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp43 )
    & ( ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 )
      | hskp15
      | hskp33 )
    & ( ! [X39] :
          ( c0_1(X39)
          | ~ c1_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 )
      | hskp36
      | hskp48 )
    & ( ! [X40] :
          ( ~ c1_1(X40)
          | c3_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 )
      | hskp42
      | hskp16 )
    & ( ! [X41] :
          ( ~ c3_1(X41)
          | c2_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | c1_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 )
      | hskp49 )
    & ( ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 )
      | hskp1
      | ! [X44] :
          ( c1_1(X44)
          | c2_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c1_1(X45)
          | c3_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c0_1(X46)
          | ~ c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c3_1(X47)
          | c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | c3_1(X48)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c2_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp50
      | hskp51 )
    & ( ! [X50] :
          ( ~ c2_1(X50)
          | c0_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c0_1(X51)
          | c3_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c1_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp52
      | hskp34
      | ! [X53] :
          ( ~ c3_1(X53)
          | c1_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( ~ c2_1(X54)
          | ~ c3_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | hskp53
      | ! [X55] :
          ( ~ c3_1(X55)
          | c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp54
      | hskp47
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c2_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c3_1(X58)
          | ~ c0_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c0_1(X59)
          | ~ c1_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp39
      | hskp17
      | hskp18 )
    & ( hskp19
      | ! [X60] :
          ( c1_1(X60)
          | ~ c0_1(X60)
          | c3_1(X60)
          | ~ ndr1_0 )
      | hskp20 )
    & ( hskp55
      | ! [X61] :
          ( ~ c0_1(X61)
          | c2_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 )
      | hskp21 )
    & ( hskp22
      | ! [X62] :
          ( ~ c1_1(X62)
          | c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp56 )
    & ( ! [X63] :
          ( ~ c1_1(X63)
          | c0_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c0_1(X64)
          | c3_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c3_1(X65)
          | ~ c1_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | ~ c3_1(X66)
          | c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c3_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | hskp57 )
    & ( ! [X68] :
          ( c2_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c3_1(X69)
          | c1_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | hskp58 )
    & ( hskp33
      | hskp23
      | ! [X70] :
          ( ~ c0_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( c0_1(X71)
          | ~ c1_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c1_1(X72)
          | c0_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X73] :
          ( ~ c1_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp36
      | ! [X74] :
          ( ~ c1_1(X74)
          | c0_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( c2_1(X75)
          | ~ c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 )
      | hskp25
      | ! [X76] :
          ( ~ c2_1(X76)
          | ~ c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp51
      | ! [X77] :
          ( ~ c0_1(X77)
          | ~ c3_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp48
      | ! [X79] :
          ( c0_1(X79)
          | c2_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X80] :
          ( c0_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c1_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c0_1(X82)
          | c1_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( ~ c1_1(X83)
          | ~ c0_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c2_1(X84)
          | ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c3_1(X86)
          | c2_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | hskp59
      | ! [X87] :
          ( ~ c3_1(X87)
          | c0_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( ~ c2_1(X88)
          | ~ c3_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c2_1(X89)
          | c3_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | hskp35 )
    & ( ! [X90] :
          ( ~ c0_1(X90)
          | c1_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | hskp60
      | hskp26 )
    & ( ! [X91] :
          ( ~ c3_1(X91)
          | ~ c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c1_1(X92)
          | c3_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | hskp61 )
    & ( hskp43
      | hskp27
      | hskp28 )
    & ( hskp62
      | hskp56
      | hskp63 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1020)
        & ~ c1_1(a1020)
        & ~ c2_1(a1020) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a1023)
        & ~ c1_1(a1023)
        & ~ c0_1(a1023) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a1024)
        & c1_1(a1024)
        & ~ c3_1(a1024) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a1025)
        & ~ c3_1(a1025)
        & ~ c2_1(a1025) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a1026)
        & ~ c2_1(a1026)
        & ~ c1_1(a1026) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a1027)
        & c2_1(a1027)
        & ~ c3_1(a1027) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c2_1(a1030)
        & ~ c3_1(a1030)
        & ~ c0_1(a1030) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a1035)
        & c1_1(a1035)
        & ~ c2_1(a1035) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1036)
        & ~ c3_1(a1036)
        & ~ c1_1(a1036) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c1_1(a1038)
        & c2_1(a1038)
        & ~ c0_1(a1038) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a1039)
        & ~ c2_1(a1039)
        & ~ c0_1(a1039) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c3_1(a1041)
        & c1_1(a1041)
        & ~ c2_1(a1041) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c1_1(a1043)
        & c0_1(a1043)
        & ~ c3_1(a1043) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a1048)
        & c3_1(a1048)
        & ~ c2_1(a1048) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & ~ c0_1(a1055)
        & ~ c1_1(a1055)
        & ~ c2_1(a1055) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c3_1(a1059)
        & c2_1(a1059)
        & ~ c1_1(a1059) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a1064)
        & c0_1(a1064)
        & ~ c3_1(a1064) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c0_1(a1077)
        & c3_1(a1077)
        & ~ c2_1(a1077) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c2_1(a1078)
        & c0_1(a1078)
        & ~ c1_1(a1078) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a1079)
        & ~ c0_1(a1079)
        & ~ c2_1(a1079) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c0_1(a1080)
        & ~ c2_1(a1080)
        & ~ c1_1(a1080) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c3_1(a1082)
        & ~ c2_1(a1082)
        & ~ c0_1(a1082) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c2_1(a1083)
        & c3_1(a1083)
        & ~ c1_1(a1083) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a1088)
        & c3_1(a1088)
        & ~ c2_1(a1088) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c2_1(a1089)
        & c0_1(a1089)
        & ~ c1_1(a1089) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c3_1(a1091)
        & ~ c0_1(a1091)
        & ~ c2_1(a1091) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c3_1(a1098)
        & c1_1(a1098)
        & ~ c0_1(a1098) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c3_1(a1101)
        & c1_1(a1101)
        & ~ c0_1(a1101) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & ~ c0_1(a1102)
        & c2_1(a1102)
        & ~ c1_1(a1102) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & ~ c1_1(a1021)
        & ~ c3_1(a1021)
        & c2_1(a1021) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & ~ c2_1(a1022)
        & c3_1(a1022)
        & c1_1(a1022) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a1028)
        & ~ c1_1(a1028)
        & c3_1(a1028) ) )
    & ( ~ hskp32
      | ( ndr1_0
        & ~ c0_1(a1029)
        & c1_1(a1029)
        & c2_1(a1029) ) )
    & ( ~ hskp33
      | ( ndr1_0
        & c3_1(a1031)
        & ~ c1_1(a1031)
        & c2_1(a1031) ) )
    & ( ~ hskp34
      | ( ndr1_0
        & ~ c2_1(a1032)
        & ~ c1_1(a1032)
        & c3_1(a1032) ) )
    & ( ~ hskp35
      | ( ndr1_0
        & c0_1(a1033)
        & c1_1(a1033)
        & c3_1(a1033) ) )
    & ( ~ hskp36
      | ( ndr1_0
        & c3_1(a1034)
        & ~ c0_1(a1034)
        & c1_1(a1034) ) )
    & ( ~ hskp37
      | ( ndr1_0
        & ~ c1_1(a1037)
        & c0_1(a1037)
        & c3_1(a1037) ) )
    & ( ~ hskp38
      | ( ndr1_0
        & c1_1(a1040)
        & c3_1(a1040)
        & c2_1(a1040) ) )
    & ( ~ hskp39
      | ( ndr1_0
        & c0_1(a1042)
        & ~ c1_1(a1042)
        & c2_1(a1042) ) )
    & ( ~ hskp40
      | ( ndr1_0
        & ~ c1_1(a1044)
        & c3_1(a1044)
        & c0_1(a1044) ) )
    & ( ~ hskp41
      | ( ndr1_0
        & ~ c1_1(a1045)
        & ~ c0_1(a1045)
        & c3_1(a1045) ) )
    & ( ~ hskp42
      | ( ndr1_0
        & ~ c2_1(a1046)
        & c1_1(a1046)
        & c0_1(a1046) ) )
    & ( ~ hskp43
      | ( ndr1_0
        & c0_1(a1049)
        & c2_1(a1049)
        & c1_1(a1049) ) )
    & ( ~ hskp44
      | ( ndr1_0
        & c1_1(a1051)
        & ~ c2_1(a1051)
        & c0_1(a1051) ) )
    & ( ~ hskp45
      | ( ndr1_0
        & c0_1(a1052)
        & c3_1(a1052)
        & c2_1(a1052) ) )
    & ( ~ hskp46
      | ( ndr1_0
        & ~ c1_1(a1053)
        & ~ c2_1(a1053)
        & c0_1(a1053) ) )
    & ( ~ hskp47
      | ( ndr1_0
        & c2_1(a1056)
        & c1_1(a1056)
        & c3_1(a1056) ) )
    & ( ~ hskp48
      | ( ndr1_0
        & c3_1(a1062)
        & c2_1(a1062)
        & c0_1(a1062) ) )
    & ( ~ hskp49
      | ( ndr1_0
        & ~ c0_1(a1065)
        & ~ c2_1(a1065)
        & c1_1(a1065) ) )
    & ( ~ hskp50
      | ( ndr1_0
        & ~ c0_1(a1069)
        & c3_1(a1069)
        & c1_1(a1069) ) )
    & ( ~ hskp51
      | ( ndr1_0
        & c2_1(a1070)
        & ~ c1_1(a1070)
        & c0_1(a1070) ) )
    & ( ~ hskp52
      | ( ndr1_0
        & c1_1(a1071)
        & c0_1(a1071)
        & c3_1(a1071) ) )
    & ( ~ hskp53
      | ( ndr1_0
        & c1_1(a1073)
        & c2_1(a1073)
        & c0_1(a1073) ) )
    & ( ~ hskp54
      | ( ndr1_0
        & c3_1(a1074)
        & c0_1(a1074)
        & c2_1(a1074) ) )
    & ( ~ hskp55
      | ( ndr1_0
        & c1_1(a1081)
        & ~ c0_1(a1081)
        & c3_1(a1081) ) )
    & ( ~ hskp56
      | ( ndr1_0
        & ~ c3_1(a1084)
        & ~ c1_1(a1084)
        & c0_1(a1084) ) )
    & ( ~ hskp57
      | ( ndr1_0
        & c2_1(a1085)
        & c0_1(a1085)
        & c3_1(a1085) ) )
    & ( ~ hskp58
      | ( ndr1_0
        & ~ c0_1(a1086)
        & c2_1(a1086)
        & c3_1(a1086) ) )
    & ( ~ hskp59
      | ( ndr1_0
        & ~ c0_1(a1095)
        & ~ c3_1(a1095)
        & c1_1(a1095) ) )
    & ( ~ hskp60
      | ( ndr1_0
        & c2_1(a1097)
        & ~ c0_1(a1097)
        & c3_1(a1097) ) )
    & ( ~ hskp61
      | ( ndr1_0
        & ~ c3_1(a1099)
        & ~ c0_1(a1099)
        & c2_1(a1099) ) )
    & ( ~ hskp62
      | ( ndr1_0
        & c2_1(a1103)
        & c3_1(a1103)
        & c1_1(a1103) ) )
    & ( ~ hskp63
      | ( ndr1_0
        & ~ c2_1(a1105)
        & c1_1(a1105)
        & c3_1(a1105) ) )
    & ( hskp0
      | hskp29
      | hskp30 )
    & ( ! [X0] :
          ( ~ c3_1(X0)
          | c2_1(X0)
          | c1_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c1_1(X1)
          | ~ c0_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | hskp1 )
    & ( hskp2
      | ! [X2] :
          ( c3_1(X2)
          | c2_1(X2)
          | c0_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c0_1(X3)
          | ~ c1_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( c2_1(X4)
          | c3_1(X4)
          | c0_1(X4)
          | ~ ndr1_0 )
      | hskp3
      | ! [X5] :
          ( c1_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp5
      | ! [X6] :
          ( ~ c0_1(X6)
          | ~ c2_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X7] :
          ( ~ c0_1(X7)
          | ~ c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c2_1(X8)
          | c1_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | hskp32
      | hskp6 )
    & ( hskp33
      | ! [X10] :
          ( ~ c1_1(X10)
          | c2_1(X10)
          | c0_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c2_1(X12)
          | ~ c1_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c3_1(X13)
          | c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | hskp34 )
    & ( ! [X14] :
          ( c2_1(X14)
          | c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | hskp35
      | ! [X15] :
          ( c0_1(X15)
          | c2_1(X15)
          | ~ c3_1(X15)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( c2_1(X16)
          | ~ c1_1(X16)
          | c0_1(X16)
          | ~ ndr1_0 )
      | hskp36
      | hskp7 )
    & ( ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | c0_1(X17)
          | ~ ndr1_0 )
      | hskp8
      | hskp37 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | hskp9
      | ! [X19] :
          ( c0_1(X19)
          | ~ c3_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( ! [X20] :
          ( c3_1(X20)
          | c2_1(X20)
          | c0_1(X20)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X21] :
          ( ~ c3_1(X21)
          | c2_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | hskp38
      | ! [X22] :
          ( ~ c0_1(X22)
          | ~ c3_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X23] :
          ( ~ c0_1(X23)
          | ~ c3_1(X23)
          | ~ c1_1(X23)
          | ~ ndr1_0 )
      | hskp39 )
    & ( hskp12
      | ! [X24] :
          ( ~ c2_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | c2_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp40
      | hskp41
      | ! [X26] :
          ( ~ c0_1(X26)
          | c1_1(X26)
          | ~ c2_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp42
      | ! [X27] :
          ( c1_1(X27)
          | c0_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c1_1(X28)
          | ~ c3_1(X28)
          | c2_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( ~ c0_1(X29)
          | c2_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( c1_1(X30)
          | ~ c0_1(X30)
          | ~ c3_1(X30)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X31] :
          ( ~ c0_1(X31)
          | ~ c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | hskp13
      | hskp43 )
    & ( ! [X32] :
          ( c0_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c0_1(X33)
          | ~ c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X34] :
          ( c1_1(X34)
          | c3_1(X34)
          | c2_1(X34)
          | ~ ndr1_0 )
      | hskp44
      | hskp45 )
    & ( hskp46
      | hskp38
      | hskp14 )
    & ( ! [X35] :
          ( ~ c0_1(X35)
          | ~ c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 )
      | hskp47
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X37] :
          ( ~ c1_1(X37)
          | c0_1(X37)
          | ~ c2_1(X37)
          | ~ ndr1_0 )
      | hskp43 )
    & ( ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 )
      | hskp15
      | hskp33 )
    & ( ! [X39] :
          ( c0_1(X39)
          | ~ c1_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 )
      | hskp36
      | hskp48 )
    & ( ! [X40] :
          ( ~ c1_1(X40)
          | c3_1(X40)
          | c2_1(X40)
          | ~ ndr1_0 )
      | hskp42
      | hskp16 )
    & ( ! [X41] :
          ( ~ c3_1(X41)
          | c2_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | c1_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 )
      | hskp49 )
    & ( ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 )
      | hskp1
      | ! [X44] :
          ( c1_1(X44)
          | c2_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c1_1(X45)
          | c3_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c0_1(X46)
          | ~ c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c3_1(X47)
          | c1_1(X47)
          | ~ c2_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | c3_1(X48)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X49] :
          ( c0_1(X49)
          | ~ c2_1(X49)
          | ~ c1_1(X49)
          | ~ ndr1_0 )
      | hskp50
      | hskp51 )
    & ( ! [X50] :
          ( ~ c2_1(X50)
          | c0_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c0_1(X51)
          | c3_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c1_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp52
      | hskp34
      | ! [X53] :
          ( ~ c3_1(X53)
          | c1_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 ) )
    & ( ! [X54] :
          ( ~ c2_1(X54)
          | ~ c3_1(X54)
          | ~ c0_1(X54)
          | ~ ndr1_0 )
      | hskp53
      | ! [X55] :
          ( ~ c3_1(X55)
          | c1_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp54
      | hskp47
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c2_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c3_1(X58)
          | ~ c0_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c0_1(X59)
          | ~ c1_1(X59)
          | c3_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp39
      | hskp17
      | hskp18 )
    & ( hskp19
      | ! [X60] :
          ( c1_1(X60)
          | ~ c0_1(X60)
          | c3_1(X60)
          | ~ ndr1_0 )
      | hskp20 )
    & ( hskp55
      | ! [X61] :
          ( ~ c0_1(X61)
          | c2_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 )
      | hskp21 )
    & ( hskp22
      | ! [X62] :
          ( ~ c1_1(X62)
          | c2_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0 )
      | hskp56 )
    & ( ! [X63] :
          ( ~ c1_1(X63)
          | c0_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c0_1(X64)
          | c3_1(X64)
          | c1_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( c3_1(X65)
          | ~ c1_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | ~ c3_1(X66)
          | c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c3_1(X67)
          | c1_1(X67)
          | ~ ndr1_0 )
      | hskp57 )
    & ( ! [X68] :
          ( c2_1(X68)
          | ~ c1_1(X68)
          | ~ c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c3_1(X69)
          | c1_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | hskp58 )
    & ( hskp33
      | hskp23
      | ! [X70] :
          ( ~ c0_1(X70)
          | ~ c2_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( c0_1(X71)
          | ~ c1_1(X71)
          | ~ c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c1_1(X72)
          | c0_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X73] :
          ( ~ c1_1(X73)
          | ~ c2_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | hskp36
      | ! [X74] :
          ( ~ c1_1(X74)
          | c0_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( c2_1(X75)
          | ~ c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 )
      | hskp25
      | ! [X76] :
          ( ~ c2_1(X76)
          | ~ c1_1(X76)
          | ~ c3_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp51
      | ! [X77] :
          ( ~ c0_1(X77)
          | ~ c3_1(X77)
          | ~ c2_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( c1_1(X78)
          | ~ c0_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp48
      | ! [X79] :
          ( c0_1(X79)
          | c2_1(X79)
          | c1_1(X79)
          | ~ ndr1_0 )
      | hskp14 )
    & ( ! [X80] :
          ( c0_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c1_1(X81)
          | ~ c2_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c0_1(X82)
          | c1_1(X82)
          | c2_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( ~ c1_1(X83)
          | ~ c0_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c2_1(X84)
          | ~ c0_1(X84)
          | ~ c3_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c0_1(X85)
          | ~ c1_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c3_1(X86)
          | c2_1(X86)
          | ~ c1_1(X86)
          | ~ ndr1_0 )
      | hskp59
      | ! [X87] :
          ( ~ c3_1(X87)
          | c0_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( ~ c2_1(X88)
          | ~ c3_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( c2_1(X89)
          | c3_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | hskp35 )
    & ( ! [X90] :
          ( ~ c0_1(X90)
          | c1_1(X90)
          | c2_1(X90)
          | ~ ndr1_0 )
      | hskp60
      | hskp26 )
    & ( ! [X91] :
          ( ~ c3_1(X91)
          | ~ c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c1_1(X92)
          | c3_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | hskp61 )
    & ( hskp43
      | hskp27
      | hskp28 )
    & ( hskp62
      | hskp56
      | hskp63 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp62
    | hskp56
    | hskp63 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp43
    | hskp27
    | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ! [X83,X84,X85] :
      ( ~ c1_1(X83)
      | ~ c0_1(X83)
      | ~ c2_1(X83)
      | ~ ndr1_0
      | ~ c2_1(X84)
      | ~ c0_1(X84)
      | ~ c3_1(X84)
      | ~ ndr1_0
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | ~ c2_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X82,X80,X81] :
      ( c0_1(X80)
      | ~ c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | c3_1(X81)
      | c1_1(X81)
      | ~ c2_1(X81)
      | ~ ndr1_0
      | c0_1(X82)
      | c1_1(X82)
      | c2_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X76,X75] :
      ( c2_1(X75)
      | ~ c1_1(X75)
      | c0_1(X75)
      | ~ ndr1_0
      | hskp25
      | ~ c2_1(X76)
      | ~ c1_1(X76)
      | ~ c3_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X72,X71] :
      ( c0_1(X71)
      | ~ c1_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | c1_1(X72)
      | c0_1(X72)
      | c3_1(X72)
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X70] :
      ( hskp33
      | hskp23
      | ~ c0_1(X70)
      | ~ c2_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X66,X67] :
      ( ~ c0_1(X66)
      | ~ c3_1(X66)
      | c2_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c3_1(X67)
      | c1_1(X67)
      | ~ ndr1_0
      | hskp57 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X65,X63,X64] :
      ( ~ c1_1(X63)
      | c0_1(X63)
      | c2_1(X63)
      | ~ ndr1_0
      | c0_1(X64)
      | c3_1(X64)
      | c1_1(X64)
      | ~ ndr1_0
      | c3_1(X65)
      | ~ c1_1(X65)
      | c2_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X62] :
      ( hskp22
      | ~ c1_1(X62)
      | c2_1(X62)
      | ~ c3_1(X62)
      | ~ ndr1_0
      | hskp56 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X61] :
      ( hskp55
      | ~ c0_1(X61)
      | c2_1(X61)
      | c1_1(X61)
      | ~ ndr1_0
      | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X60] :
      ( hskp19
      | c1_1(X60)
      | ~ c0_1(X60)
      | c3_1(X60)
      | ~ ndr1_0
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X58,X59,X57] :
      ( ~ c2_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | c3_1(X58)
      | ~ c0_1(X58)
      | c1_1(X58)
      | ~ ndr1_0
      | ~ c0_1(X59)
      | ~ c1_1(X59)
      | c3_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X56] :
      ( hskp54
      | hskp47
      | ~ c3_1(X56)
      | ~ c2_1(X56)
      | ~ c1_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X54,X55] :
      ( ~ c2_1(X54)
      | ~ c3_1(X54)
      | ~ c0_1(X54)
      | ~ ndr1_0
      | hskp53
      | ~ c3_1(X55)
      | c1_1(X55)
      | ~ c2_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X50,X51,X52] :
      ( ~ c2_1(X50)
      | c0_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c0_1(X51)
      | c3_1(X51)
      | c1_1(X51)
      | ~ ndr1_0
      | c3_1(X52)
      | c1_1(X52)
      | c2_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X46,X47,X45] :
      ( c1_1(X45)
      | c3_1(X45)
      | c0_1(X45)
      | ~ ndr1_0
      | c0_1(X46)
      | ~ c2_1(X46)
      | c1_1(X46)
      | ~ ndr1_0
      | c3_1(X47)
      | c1_1(X47)
      | ~ c2_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X41,X42] :
      ( ~ c3_1(X41)
      | c2_1(X41)
      | ~ c0_1(X41)
      | ~ ndr1_0
      | c3_1(X42)
      | c1_1(X42)
      | c0_1(X42)
      | ~ ndr1_0
      | hskp49 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X39] :
      ( c0_1(X39)
      | ~ c1_1(X39)
      | c3_1(X39)
      | ~ ndr1_0
      | hskp36
      | hskp48 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f39,plain,
    ! [X38] :
      ( ~ c3_1(X38)
      | c2_1(X38)
      | c0_1(X38)
      | ~ ndr1_0
      | hskp15
      | hskp33 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X37] :
      ( hskp10
      | ~ c1_1(X37)
      | c0_1(X37)
      | ~ c2_1(X37)
      | ~ ndr1_0
      | hskp43 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ( hskp46
    | hskp38
    | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X24,X25] :
      ( hskp12
      | ~ c2_1(X24)
      | ~ c1_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | c2_1(X25)
      | ~ c0_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X21,X22] :
      ( ~ c3_1(X21)
      | c2_1(X21)
      | ~ c0_1(X21)
      | ~ ndr1_0
      | hskp38
      | ~ c0_1(X22)
      | ~ c3_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X20] :
      ( c3_1(X20)
      | c2_1(X20)
      | c0_1(X20)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X17] :
      ( ~ c3_1(X17)
      | ~ c1_1(X17)
      | c0_1(X17)
      | ~ ndr1_0
      | hskp8
      | hskp37 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X12,X13] :
      ( c2_1(X12)
      | ~ c1_1(X12)
      | c3_1(X12)
      | ~ ndr1_0
      | c3_1(X13)
      | c1_1(X13)
      | ~ c0_1(X13)
      | ~ ndr1_0
      | hskp34 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ! [X10,X11] :
      ( hskp33
      | ~ c1_1(X10)
      | c2_1(X10)
      | c0_1(X10)
      | ~ ndr1_0
      | ~ c1_1(X11)
      | ~ c3_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ! [X9] :
      ( ~ c1_1(X9)
      | ~ c0_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | hskp32
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ( ~ hskp63
    | c3_1(a1105) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ( ~ hskp63
    | c1_1(a1105) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ( ~ hskp63
    | ~ c2_1(a1105) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ( ~ hskp63
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ( ~ hskp62
    | c1_1(a1103) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( ~ hskp62
    | c3_1(a1103) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( ~ hskp62
    | c2_1(a1103) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ( ~ hskp62
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp57
    | c3_1(a1085) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp57
    | c0_1(a1085) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp57
    | c2_1(a1085) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp56
    | c0_1(a1084) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp56
    | ~ c1_1(a1084) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp56
    | ~ c3_1(a1084) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f97,plain,
    ( ~ hskp56
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp55
    | c3_1(a1081) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp55
    | ~ c0_1(a1081) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp55
    | c1_1(a1081) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp54
    | c2_1(a1074) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp54
    | c0_1(a1074) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp54
    | c3_1(a1074) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp53
    | c0_1(a1073) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp53
    | c2_1(a1073) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp53
    | c1_1(a1073) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp49
    | c1_1(a1065) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp49
    | ~ c2_1(a1065) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp49
    | ~ c0_1(a1065) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp48
    | c0_1(a1062) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp48
    | c2_1(a1062) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp48
    | c3_1(a1062) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp47
    | c1_1(a1056) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp47
    | c2_1(a1056) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp46
    | c0_1(a1053) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp46
    | ~ c2_1(a1053) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp46
    | ~ c1_1(a1053) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp43
    | c1_1(a1049) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp43
    | c2_1(a1049) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp43
    | c0_1(a1049) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ hskp38
    | c2_1(a1040) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ hskp38
    | c3_1(a1040) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ hskp38
    | c1_1(a1040) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ hskp37
    | c3_1(a1037) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ hskp37
    | c0_1(a1037) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( ~ hskp37
    | ~ c1_1(a1037) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ hskp36
    | c1_1(a1034) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ hskp36
    | ~ c0_1(a1034) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( ~ hskp36
    | c3_1(a1034) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ hskp34
    | c3_1(a1032) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ hskp34
    | ~ c1_1(a1032) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( ~ hskp34
    | ~ c2_1(a1032) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ hskp33
    | c2_1(a1031) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ hskp33
    | ~ c1_1(a1031) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ hskp33
    | c3_1(a1031) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ hskp32
    | c2_1(a1029) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( ~ hskp32
    | c1_1(a1029) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( ~ hskp32
    | ~ c0_1(a1029) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ hskp28
    | ~ c1_1(a1102) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( ~ hskp28
    | c2_1(a1102) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f208,plain,
    ( ~ hskp28
    | ~ c0_1(a1102) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f210,plain,
    ( ~ hskp27
    | ~ c0_1(a1101) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f211,plain,
    ( ~ hskp27
    | c1_1(a1101) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f212,plain,
    ( ~ hskp27
    | c3_1(a1101) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f218,plain,
    ( ~ hskp25
    | ~ c2_1(a1091) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f219,plain,
    ( ~ hskp25
    | ~ c0_1(a1091) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f220,plain,
    ( ~ hskp25
    | ~ c3_1(a1091) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f222,plain,
    ( ~ hskp24
    | ~ c1_1(a1089) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f223,plain,
    ( ~ hskp24
    | c0_1(a1089) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f224,plain,
    ( ~ hskp24
    | ~ c2_1(a1089) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f226,plain,
    ( ~ hskp23
    | ~ c2_1(a1088) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f227,plain,
    ( ~ hskp23
    | c3_1(a1088) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f228,plain,
    ( ~ hskp23
    | c1_1(a1088) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f230,plain,
    ( ~ hskp22
    | ~ c1_1(a1083) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f231,plain,
    ( ~ hskp22
    | c3_1(a1083) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f232,plain,
    ( ~ hskp22
    | c2_1(a1083) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f234,plain,
    ( ~ hskp21
    | ~ c0_1(a1082) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f235,plain,
    ( ~ hskp21
    | ~ c2_1(a1082) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f236,plain,
    ( ~ hskp21
    | ~ c3_1(a1082) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f238,plain,
    ( ~ hskp20
    | ~ c1_1(a1080) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f239,plain,
    ( ~ hskp20
    | ~ c2_1(a1080) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f240,plain,
    ( ~ hskp20
    | ~ c0_1(a1080) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f242,plain,
    ( ~ hskp19
    | ~ c2_1(a1079) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f243,plain,
    ( ~ hskp19
    | ~ c0_1(a1079) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f244,plain,
    ( ~ hskp19
    | c1_1(a1079) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f258,plain,
    ( ~ hskp15
    | ~ c1_1(a1059) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f259,plain,
    ( ~ hskp15
    | c2_1(a1059) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f260,plain,
    ( ~ hskp15
    | c3_1(a1059) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f262,plain,
    ( ~ hskp14
    | ~ c2_1(a1055) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f263,plain,
    ( ~ hskp14
    | ~ c1_1(a1055) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f264,plain,
    ( ~ hskp14
    | ~ c0_1(a1055) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f270,plain,
    ( ~ hskp12
    | ~ c3_1(a1043) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f271,plain,
    ( ~ hskp12
    | c0_1(a1043) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f272,plain,
    ( ~ hskp12
    | ~ c1_1(a1043) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f278,plain,
    ( ~ hskp10
    | ~ c0_1(a1039) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f279,plain,
    ( ~ hskp10
    | ~ c2_1(a1039) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f280,plain,
    ( ~ hskp10
    | c1_1(a1039) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f286,plain,
    ( ~ hskp8
    | ~ c1_1(a1036) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f287,plain,
    ( ~ hskp8
    | ~ c3_1(a1036) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f288,plain,
    ( ~ hskp8
    | c0_1(a1036) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f294,plain,
    ( ~ hskp6
    | ~ c0_1(a1030) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f295,plain,
    ( ~ hskp6
    | ~ c3_1(a1030) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f296,plain,
    ( ~ hskp6
    | ~ c2_1(a1030) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f325,plain,
    ! [X83,X84,X85] :
      ( ~ c1_1(X83)
      | ~ c0_1(X83)
      | ~ c2_1(X83)
      | ~ ndr1_0
      | ~ c2_1(X84)
      | ~ c0_1(X84)
      | ~ c3_1(X84)
      | ~ c0_1(X85)
      | ~ c1_1(X85)
      | ~ c2_1(X85) ),
    inference(duplicate_literal_removal,[],[f12]) ).

fof(f326,plain,
    ! [X82,X80,X81] :
      ( c0_1(X80)
      | ~ c2_1(X80)
      | ~ c3_1(X80)
      | ~ ndr1_0
      | c3_1(X81)
      | c1_1(X81)
      | ~ c2_1(X81)
      | c0_1(X82)
      | c1_1(X82)
      | c2_1(X82) ),
    inference(duplicate_literal_removal,[],[f13]) ).

fof(f328,plain,
    ! [X76,X75] :
      ( c2_1(X75)
      | ~ c1_1(X75)
      | c0_1(X75)
      | ~ ndr1_0
      | hskp25
      | ~ c2_1(X76)
      | ~ c1_1(X76)
      | ~ c3_1(X76) ),
    inference(duplicate_literal_removal,[],[f16]) ).

fof(f330,plain,
    ! [X72,X71] :
      ( c0_1(X71)
      | ~ c1_1(X71)
      | ~ c3_1(X71)
      | ~ ndr1_0
      | c1_1(X72)
      | c0_1(X72)
      | c3_1(X72)
      | hskp24 ),
    inference(duplicate_literal_removal,[],[f18]) ).

fof(f332,plain,
    ! [X66,X67] :
      ( ~ c0_1(X66)
      | ~ c3_1(X66)
      | c2_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c3_1(X67)
      | c1_1(X67)
      | hskp57 ),
    inference(duplicate_literal_removal,[],[f21]) ).

fof(f333,plain,
    ! [X65,X63,X64] :
      ( ~ c1_1(X63)
      | c0_1(X63)
      | c2_1(X63)
      | ~ ndr1_0
      | c0_1(X64)
      | c3_1(X64)
      | c1_1(X64)
      | c3_1(X65)
      | ~ c1_1(X65)
      | c2_1(X65) ),
    inference(duplicate_literal_removal,[],[f22]) ).

fof(f334,plain,
    ! [X58,X59,X57] :
      ( ~ c2_1(X57)
      | ~ c1_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | c3_1(X58)
      | ~ c0_1(X58)
      | c1_1(X58)
      | ~ c0_1(X59)
      | ~ c1_1(X59)
      | c3_1(X59) ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f335,plain,
    ! [X54,X55] :
      ( ~ c2_1(X54)
      | ~ c3_1(X54)
      | ~ c0_1(X54)
      | ~ ndr1_0
      | hskp53
      | ~ c3_1(X55)
      | c1_1(X55)
      | ~ c2_1(X55) ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f336,plain,
    ! [X50,X51,X52] :
      ( ~ c2_1(X50)
      | c0_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c0_1(X51)
      | c3_1(X51)
      | c1_1(X51)
      | c3_1(X52)
      | c1_1(X52)
      | c2_1(X52) ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f337,plain,
    ! [X46,X47,X45] :
      ( c1_1(X45)
      | c3_1(X45)
      | c0_1(X45)
      | ~ ndr1_0
      | c0_1(X46)
      | ~ c2_1(X46)
      | c1_1(X46)
      | c3_1(X47)
      | c1_1(X47)
      | ~ c2_1(X47) ),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f339,plain,
    ! [X41,X42] :
      ( ~ c3_1(X41)
      | c2_1(X41)
      | ~ c0_1(X41)
      | ~ ndr1_0
      | c3_1(X42)
      | c1_1(X42)
      | c0_1(X42)
      | hskp49 ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f344,plain,
    ! [X24,X25] :
      ( hskp12
      | ~ c2_1(X24)
      | ~ c1_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | c2_1(X25)
      | ~ c0_1(X25) ),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f345,plain,
    ! [X21,X22] :
      ( ~ c3_1(X21)
      | c2_1(X21)
      | ~ c0_1(X21)
      | ~ ndr1_0
      | hskp38
      | ~ c0_1(X22)
      | ~ c3_1(X22)
      | c1_1(X22) ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f348,plain,
    ! [X12,X13] :
      ( c2_1(X12)
      | ~ c1_1(X12)
      | c3_1(X12)
      | ~ ndr1_0
      | c3_1(X13)
      | c1_1(X13)
      | ~ c0_1(X13)
      | hskp34 ),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f349,plain,
    ! [X10,X11] :
      ( hskp33
      | ~ c1_1(X10)
      | c2_1(X10)
      | c0_1(X10)
      | ~ ndr1_0
      | ~ c1_1(X11)
      | ~ c3_1(X11)
      | ~ c2_1(X11) ),
    inference(duplicate_literal_removal,[],[f58]) ).

fof(f355,definition,
    ( spl0_1
  <=> hskp63 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f358,definition,
    ( spl0_2
  <=> hskp56 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f361,definition,
    ( spl0_3
  <=> hskp62 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f363,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f361,f358,f355]) ).

fof(f365,definition,
    ( spl0_4
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f368,definition,
    ( spl0_5
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f371,definition,
    ( spl0_6
  <=> hskp43 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f373,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f7,f371,f368,f365]) ).

fof(f378,definition,
    ( spl0_8
  <=> ! [X92] :
        ( ~ c1_1(X92)
        | c2_1(X92)
        | c3_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f379,plain,
    ( ! [X92] :
        ( c3_1(X92)
        | c2_1(X92)
        | ~ c1_1(X92) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f381,definition,
    ( spl0_9
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f384,definition,
    ( spl0_10
  <=> ! [X91] :
        ( ~ c3_1(X91)
        | c0_1(X91)
        | ~ c1_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f385,plain,
    ( ! [X91] :
        ( ~ c3_1(X91)
        | c0_1(X91)
        | ~ c1_1(X91) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f394,definition,
    ( spl0_13
  <=> ! [X90] :
        ( ~ c0_1(X90)
        | c2_1(X90)
        | c1_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f395,plain,
    ( ! [X90] :
        ( c1_1(X90)
        | c2_1(X90)
        | ~ c0_1(X90) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f394]) ).

fof(f401,definition,
    ( spl0_15
  <=> ! [X88] :
        ( ~ c2_1(X88)
        | c0_1(X88)
        | ~ c3_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f402,plain,
    ( ! [X88] :
        ( ~ c3_1(X88)
        | c0_1(X88)
        | ~ c2_1(X88) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f405,definition,
    ( spl0_16
  <=> ! [X87] :
        ( ~ c3_1(X87)
        | c2_1(X87)
        | c0_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f406,plain,
    ( ! [X87] :
        ( ~ c3_1(X87)
        | c2_1(X87)
        | c0_1(X87) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f411,definition,
    ( spl0_18
  <=> ! [X86] :
        ( ~ c3_1(X86)
        | ~ c1_1(X86)
        | c2_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f412,plain,
    ( ! [X86] :
        ( ~ c3_1(X86)
        | ~ c1_1(X86)
        | c2_1(X86) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f415,definition,
    ( spl0_19
  <=> ! [X85] :
        ( ~ c0_1(X85)
        | ~ c2_1(X85)
        | ~ c1_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f416,plain,
    ( ! [X85] :
        ( ~ c1_1(X85)
        | ~ c2_1(X85)
        | ~ c0_1(X85) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f418,definition,
    ( spl0_20
  <=> ! [X84] :
        ( ~ c2_1(X84)
        | ~ c3_1(X84)
        | ~ c0_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f419,plain,
    ( ! [X84] :
        ( ~ c3_1(X84)
        | ~ c2_1(X84)
        | ~ c0_1(X84) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f420,plain,
    ( spl0_19
    | spl0_20
    | ~ spl0_9
    | spl0_19 ),
    inference(avatar_split_clause,[],[f325,f415,f381,f418,f415]) ).

fof(f422,definition,
    ( spl0_21
  <=> ! [X82] :
        ( c0_1(X82)
        | c2_1(X82)
        | c1_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f423,plain,
    ( ! [X82] :
        ( c1_1(X82)
        | c2_1(X82)
        | c0_1(X82) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f425,definition,
    ( spl0_22
  <=> ! [X81] :
        ( c3_1(X81)
        | ~ c2_1(X81)
        | c1_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f426,plain,
    ( ! [X81] :
        ( c3_1(X81)
        | ~ c2_1(X81)
        | c1_1(X81) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f427,plain,
    ( spl0_21
    | spl0_22
    | ~ spl0_9
    | spl0_15 ),
    inference(avatar_split_clause,[],[f326,f401,f381,f425,f422]) ).

fof(f429,definition,
    ( spl0_23
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f432,definition,
    ( spl0_24
  <=> hskp48 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f440,definition,
    ( spl0_26
  <=> ! [X76] :
        ( ~ c2_1(X76)
        | ~ c3_1(X76)
        | ~ c1_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f441,plain,
    ( ! [X76] :
        ( ~ c3_1(X76)
        | ~ c2_1(X76)
        | ~ c1_1(X76) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f443,definition,
    ( spl0_27
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f446,definition,
    ( spl0_28
  <=> ! [X75] :
        ( c2_1(X75)
        | c0_1(X75)
        | ~ c1_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f447,plain,
    ( ! [X75] :
        ( ~ c1_1(X75)
        | c0_1(X75)
        | c2_1(X75) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f448,plain,
    ( spl0_26
    | spl0_27
    | ~ spl0_9
    | spl0_28 ),
    inference(avatar_split_clause,[],[f328,f446,f381,f443,f440]) ).

fof(f450,definition,
    ( spl0_29
  <=> hskp36 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f454,definition,
    ( spl0_30
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f457,definition,
    ( spl0_31
  <=> ! [X72] :
        ( c1_1(X72)
        | c3_1(X72)
        | c0_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f458,plain,
    ( ! [X72] :
        ( c3_1(X72)
        | c1_1(X72)
        | c0_1(X72) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f459,plain,
    ( spl0_30
    | spl0_31
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f330,f384,f381,f457,f454]) ).

fof(f461,definition,
    ( spl0_32
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f464,definition,
    ( spl0_33
  <=> hskp33 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f466,plain,
    ( ~ spl0_9
    | spl0_20
    | spl0_32
    | spl0_33 ),
    inference(avatar_split_clause,[],[f19,f464,f461,f418,f381]) ).

fof(f475,definition,
    ( spl0_36
  <=> hskp57 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f478,definition,
    ( spl0_37
  <=> ! [X67] :
        ( ~ c2_1(X67)
        | c1_1(X67)
        | ~ c3_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f479,plain,
    ( ! [X67] :
        ( ~ c3_1(X67)
        | c1_1(X67)
        | ~ c2_1(X67) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f481,definition,
    ( spl0_38
  <=> ! [X66] :
        ( ~ c0_1(X66)
        | c2_1(X66)
        | ~ c3_1(X66) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f482,plain,
    ( ! [X66] :
        ( ~ c3_1(X66)
        | c2_1(X66)
        | ~ c0_1(X66) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f483,plain,
    ( spl0_36
    | spl0_37
    | ~ spl0_9
    | spl0_38 ),
    inference(avatar_split_clause,[],[f332,f481,f381,f478,f475]) ).

fof(f484,plain,
    ( spl0_8
    | spl0_31
    | ~ spl0_9
    | spl0_28 ),
    inference(avatar_split_clause,[],[f333,f446,f381,f457,f378]) ).

fof(f486,definition,
    ( spl0_39
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f488,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_18
    | spl0_39 ),
    inference(avatar_split_clause,[],[f23,f486,f411,f381,f358]) ).

fof(f490,definition,
    ( spl0_40
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f493,definition,
    ( spl0_41
  <=> hskp55 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f495,plain,
    ( spl0_40
    | ~ spl0_9
    | spl0_13
    | spl0_41 ),
    inference(avatar_split_clause,[],[f24,f493,f394,f381,f490]) ).

fof(f497,definition,
    ( spl0_42
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f500,definition,
    ( spl0_43
  <=> ! [X60] :
        ( c1_1(X60)
        | c3_1(X60)
        | ~ c0_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f501,plain,
    ( ! [X60] :
        ( c3_1(X60)
        | c1_1(X60)
        | ~ c0_1(X60) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f503,definition,
    ( spl0_44
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f505,plain,
    ( spl0_42
    | ~ spl0_9
    | spl0_43
    | spl0_44 ),
    inference(avatar_split_clause,[],[f25,f503,f500,f381,f497]) ).

fof(f517,definition,
    ( spl0_48
  <=> ! [X59] :
        ( ~ c0_1(X59)
        | c3_1(X59)
        | ~ c1_1(X59) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f518,plain,
    ( ! [X59] :
        ( c3_1(X59)
        | ~ c0_1(X59)
        | ~ c1_1(X59) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f517]) ).

fof(f519,plain,
    ( spl0_48
    | spl0_43
    | ~ spl0_9
    | spl0_26 ),
    inference(avatar_split_clause,[],[f334,f440,f381,f500,f517]) ).

fof(f521,definition,
    ( spl0_49
  <=> hskp47 ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f524,definition,
    ( spl0_50
  <=> hskp54 ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f526,plain,
    ( ~ spl0_9
    | spl0_26
    | spl0_49
    | spl0_50 ),
    inference(avatar_split_clause,[],[f28,f524,f521,f440,f381]) ).

fof(f528,definition,
    ( spl0_51
  <=> hskp53 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f530,plain,
    ( spl0_37
    | spl0_51
    | ~ spl0_9
    | spl0_20 ),
    inference(avatar_split_clause,[],[f335,f418,f381,f528,f478]) ).

fof(f532,definition,
    ( spl0_52
  <=> ! [X53] :
        ( ~ c3_1(X53)
        | ~ c0_1(X53)
        | c1_1(X53) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f533,plain,
    ( ! [X53] :
        ( ~ c3_1(X53)
        | ~ c0_1(X53)
        | c1_1(X53) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f535,definition,
    ( spl0_53
  <=> hskp34 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f542,definition,
    ( spl0_55
  <=> ! [X52] :
        ( c3_1(X52)
        | c2_1(X52)
        | c1_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f543,plain,
    ( ! [X52] :
        ( c3_1(X52)
        | c2_1(X52)
        | c1_1(X52) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f545,definition,
    ( spl0_56
  <=> ! [X50] :
        ( ~ c2_1(X50)
        | c1_1(X50)
        | c0_1(X50) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f546,plain,
    ( ! [X50] :
        ( c1_1(X50)
        | ~ c2_1(X50)
        | c0_1(X50) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f547,plain,
    ( spl0_55
    | spl0_43
    | ~ spl0_9
    | spl0_56 ),
    inference(avatar_split_clause,[],[f336,f545,f381,f500,f542]) ).

fof(f552,definition,
    ( spl0_58
  <=> ! [X49] :
        ( c0_1(X49)
        | ~ c1_1(X49)
        | ~ c2_1(X49) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f553,plain,
    ( ! [X49] :
        ( ~ c1_1(X49)
        | c0_1(X49)
        | ~ c2_1(X49) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f556,definition,
    ( spl0_59
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f565,plain,
    ( spl0_22
    | spl0_56
    | ~ spl0_9
    | spl0_31 ),
    inference(avatar_split_clause,[],[f337,f457,f381,f545,f425]) ).

fof(f570,definition,
    ( spl0_63
  <=> ! [X43] :
        ( c3_1(X43)
        | c0_1(X43)
        | c2_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f571,plain,
    ( ! [X43] :
        ( c3_1(X43)
        | c0_1(X43)
        | c2_1(X43) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f574,definition,
    ( spl0_64
  <=> hskp49 ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f576,plain,
    ( spl0_64
    | spl0_31
    | ~ spl0_9
    | spl0_38 ),
    inference(avatar_split_clause,[],[f339,f481,f381,f457,f574]) ).

fof(f585,definition,
    ( spl0_67
  <=> ! [X39] :
        ( c0_1(X39)
        | c3_1(X39)
        | ~ c1_1(X39) ) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f586,plain,
    ( ! [X39] :
        ( c3_1(X39)
        | c0_1(X39)
        | ~ c1_1(X39) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f585]) ).

fof(f587,plain,
    ( spl0_24
    | spl0_29
    | ~ spl0_9
    | spl0_67 ),
    inference(avatar_split_clause,[],[f38,f585,f381,f450,f432]) ).

fof(f589,definition,
    ( spl0_68
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f591,plain,
    ( spl0_33
    | spl0_68
    | ~ spl0_9
    | spl0_16 ),
    inference(avatar_split_clause,[],[f39,f405,f381,f589,f464]) ).

fof(f593,definition,
    ( spl0_69
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f595,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_58
    | spl0_69 ),
    inference(avatar_split_clause,[],[f40,f593,f552,f381,f371]) ).

fof(f604,definition,
    ( spl0_72
  <=> hskp38 ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f607,definition,
    ( spl0_73
  <=> hskp46 ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f609,plain,
    ( spl0_23
    | spl0_72
    | spl0_73 ),
    inference(avatar_split_clause,[],[f42,f607,f604,f429]) ).

fof(f637,plain,
    ( spl0_38
    | ~ spl0_9
    | spl0_19
    | spl0_59 ),
    inference(avatar_split_clause,[],[f344,f556,f415,f381,f481]) ).

fof(f645,plain,
    ( spl0_52
    | spl0_72
    | ~ spl0_9
    | spl0_38 ),
    inference(avatar_split_clause,[],[f345,f481,f381,f604,f532]) ).

fof(f646,plain,
    ( spl0_69
    | ~ spl0_9
    | spl0_63 ),
    inference(avatar_split_clause,[],[f52,f570,f381,f593]) ).

fof(f655,definition,
    ( spl0_85
  <=> hskp37 ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f658,definition,
    ( spl0_86
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f660,plain,
    ( spl0_85
    | spl0_86
    | ~ spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f54,f384,f381,f658,f655]) ).

fof(f663,plain,
    ( spl0_53
    | spl0_43
    | ~ spl0_9
    | spl0_8 ),
    inference(avatar_split_clause,[],[f348,f378,f381,f500,f535]) ).

fof(f664,plain,
    ( spl0_26
    | ~ spl0_9
    | spl0_28
    | spl0_33 ),
    inference(avatar_split_clause,[],[f349,f464,f446,f381,f440]) ).

fof(f666,definition,
    ( spl0_87
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f669,definition,
    ( spl0_88
  <=> hskp32 ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f671,plain,
    ( spl0_87
    | spl0_88
    | ~ spl0_9
    | spl0_48 ),
    inference(avatar_split_clause,[],[f59,f517,f381,f669,f666]) ).

fof(f700,definition,
    ( spl0_96
  <=> c3_1(a1105) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f701,plain,
    ( c3_1(a1105)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f700]) ).

fof(f703,plain,
    ( spl0_96
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f66,f355,f700]) ).

fof(f705,definition,
    ( spl0_97
  <=> c1_1(a1105) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f706,plain,
    ( c1_1(a1105)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f707,plain,
    ( spl0_97
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f67,f355,f705]) ).

fof(f709,definition,
    ( spl0_98
  <=> c2_1(a1105) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f711,plain,
    ( ~ spl0_98
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f68,f355,f709]) ).

fof(f713,plain,
    ( spl0_9
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f69,f355,f381]) ).

fof(f715,definition,
    ( spl0_99
  <=> c1_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f716,plain,
    ( c1_1(a1103)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f718,plain,
    ( spl0_99
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f70,f361,f715]) ).

fof(f720,definition,
    ( spl0_100
  <=> c3_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f721,plain,
    ( c3_1(a1103)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f722,plain,
    ( spl0_100
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f71,f361,f720]) ).

fof(f724,definition,
    ( spl0_101
  <=> c2_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f726,plain,
    ( spl0_101
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f72,f361,f724]) ).

fof(f727,plain,
    ( spl0_9
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f73,f361,f381]) ).

fof(f785,definition,
    ( spl0_114
  <=> c3_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f786,plain,
    ( c3_1(a1085)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f788,plain,
    ( spl0_114
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f90,f475,f785]) ).

fof(f790,definition,
    ( spl0_115
  <=> c0_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f792,plain,
    ( spl0_115
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f91,f475,f790]) ).

fof(f794,definition,
    ( spl0_116
  <=> c2_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f796,plain,
    ( spl0_116
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f92,f475,f794]) ).

fof(f799,definition,
    ( spl0_117
  <=> c0_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f802,plain,
    ( spl0_117
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f94,f358,f799]) ).

fof(f804,definition,
    ( spl0_118
  <=> c1_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f805,plain,
    ( ~ c1_1(a1084)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f806,plain,
    ( ~ spl0_118
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f95,f358,f804]) ).

fof(f808,definition,
    ( spl0_119
  <=> c3_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f809,plain,
    ( ~ c3_1(a1084)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f810,plain,
    ( ~ spl0_119
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f96,f358,f808]) ).

fof(f811,plain,
    ( spl0_9
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f97,f358,f381]) ).

fof(f813,definition,
    ( spl0_120
  <=> c3_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f814,plain,
    ( c3_1(a1081)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f816,plain,
    ( spl0_120
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f98,f493,f813]) ).

fof(f818,definition,
    ( spl0_121
  <=> c0_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f820,plain,
    ( ~ spl0_121
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f99,f493,f818]) ).

fof(f822,definition,
    ( spl0_122
  <=> c1_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f823,plain,
    ( c1_1(a1081)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f824,plain,
    ( spl0_122
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f100,f493,f822]) ).

fof(f827,definition,
    ( spl0_123
  <=> c2_1(a1074) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f830,plain,
    ( spl0_123
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f102,f524,f827]) ).

fof(f832,definition,
    ( spl0_124
  <=> c0_1(a1074) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f834,plain,
    ( spl0_124
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f103,f524,f832]) ).

fof(f836,definition,
    ( spl0_125
  <=> c3_1(a1074) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f837,plain,
    ( c3_1(a1074)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f838,plain,
    ( spl0_125
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f104,f524,f836]) ).

fof(f841,definition,
    ( spl0_126
  <=> c0_1(a1073) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f844,plain,
    ( spl0_126
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f106,f528,f841]) ).

fof(f846,definition,
    ( spl0_127
  <=> c2_1(a1073) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f848,plain,
    ( spl0_127
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f107,f528,f846]) ).

fof(f850,definition,
    ( spl0_128
  <=> c1_1(a1073) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f851,plain,
    ( c1_1(a1073)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f852,plain,
    ( spl0_128
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f108,f528,f850]) ).

fof(f897,definition,
    ( spl0_138
  <=> c1_1(a1065) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f898,plain,
    ( c1_1(a1065)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f900,plain,
    ( spl0_138
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f122,f574,f897]) ).

fof(f902,definition,
    ( spl0_139
  <=> c2_1(a1065) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f904,plain,
    ( ~ spl0_139
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f123,f574,f902]) ).

fof(f906,definition,
    ( spl0_140
  <=> c0_1(a1065) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f908,plain,
    ( ~ spl0_140
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f124,f574,f906]) ).

fof(f911,definition,
    ( spl0_141
  <=> c0_1(a1062) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f914,plain,
    ( spl0_141
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f126,f432,f911]) ).

fof(f916,definition,
    ( spl0_142
  <=> c2_1(a1062) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f918,plain,
    ( spl0_142
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f127,f432,f916]) ).

fof(f920,definition,
    ( spl0_143
  <=> c3_1(a1062) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f921,plain,
    ( c3_1(a1062)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f920]) ).

fof(f922,plain,
    ( spl0_143
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f128,f432,f920]) ).

fof(f930,definition,
    ( spl0_145
  <=> c1_1(a1056) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f931,plain,
    ( c1_1(a1056)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f932,plain,
    ( spl0_145
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f131,f521,f930]) ).

fof(f934,definition,
    ( spl0_146
  <=> c2_1(a1056) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f936,plain,
    ( spl0_146
    | ~ spl0_49 ),
    inference(avatar_split_clause,[],[f132,f521,f934]) ).

fof(f939,definition,
    ( spl0_147
  <=> c0_1(a1053) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f942,plain,
    ( spl0_147
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f134,f607,f939]) ).

fof(f944,definition,
    ( spl0_148
  <=> c2_1(a1053) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f946,plain,
    ( ~ spl0_148
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f135,f607,f944]) ).

fof(f948,definition,
    ( spl0_149
  <=> c1_1(a1053) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f949,plain,
    ( ~ c1_1(a1053)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f948]) ).

fof(f950,plain,
    ( ~ spl0_149
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f136,f607,f948]) ).

fof(f981,definition,
    ( spl0_156
  <=> c1_1(a1049) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f982,plain,
    ( c1_1(a1049)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f984,plain,
    ( spl0_156
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f146,f371,f981]) ).

fof(f986,definition,
    ( spl0_157
  <=> c2_1(a1049) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f988,plain,
    ( spl0_157
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f147,f371,f986]) ).

fof(f990,definition,
    ( spl0_158
  <=> c0_1(a1049) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f992,plain,
    ( spl0_158
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f148,f371,f990]) ).

fof(f1051,definition,
    ( spl0_171
  <=> c2_1(a1040) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1054,plain,
    ( spl0_171
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f166,f604,f1051]) ).

fof(f1056,definition,
    ( spl0_172
  <=> c3_1(a1040) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1057,plain,
    ( c3_1(a1040)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1056]) ).

fof(f1058,plain,
    ( spl0_172
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f167,f604,f1056]) ).

fof(f1060,definition,
    ( spl0_173
  <=> c1_1(a1040) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1062,plain,
    ( spl0_173
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f168,f604,f1060]) ).

fof(f1065,definition,
    ( spl0_174
  <=> c3_1(a1037) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1066,plain,
    ( c3_1(a1037)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1065]) ).

fof(f1068,plain,
    ( spl0_174
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f170,f655,f1065]) ).

fof(f1070,definition,
    ( spl0_175
  <=> c0_1(a1037) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1072,plain,
    ( spl0_175
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f171,f655,f1070]) ).

fof(f1074,definition,
    ( spl0_176
  <=> c1_1(a1037) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1075,plain,
    ( ~ c1_1(a1037)
    | spl0_176 ),
    inference(avatar_component_clause,[],[f1074]) ).

fof(f1076,plain,
    ( ~ spl0_176
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f172,f655,f1074]) ).

fof(f1079,definition,
    ( spl0_177
  <=> c1_1(a1034) ),
    introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).

fof(f1082,plain,
    ( spl0_177
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f174,f450,f1079]) ).

fof(f1084,definition,
    ( spl0_178
  <=> c0_1(a1034) ),
    introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).

fof(f1086,plain,
    ( ~ spl0_178
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f175,f450,f1084]) ).

fof(f1088,definition,
    ( spl0_179
  <=> c3_1(a1034) ),
    introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).

fof(f1089,plain,
    ( c3_1(a1034)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f1090,plain,
    ( spl0_179
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f176,f450,f1088]) ).

fof(f1107,definition,
    ( spl0_183
  <=> c3_1(a1032) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

fof(f1108,plain,
    ( c3_1(a1032)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1107]) ).

fof(f1110,plain,
    ( spl0_183
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f182,f535,f1107]) ).

fof(f1112,definition,
    ( spl0_184
  <=> c1_1(a1032) ),
    introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).

fof(f1113,plain,
    ( ~ c1_1(a1032)
    | spl0_184 ),
    inference(avatar_component_clause,[],[f1112]) ).

fof(f1114,plain,
    ( ~ spl0_184
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f183,f535,f1112]) ).

fof(f1116,definition,
    ( spl0_185
  <=> c2_1(a1032) ),
    introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).

fof(f1118,plain,
    ( ~ spl0_185
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f184,f535,f1116]) ).

fof(f1121,definition,
    ( spl0_186
  <=> c2_1(a1031) ),
    introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).

fof(f1124,plain,
    ( spl0_186
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f186,f464,f1121]) ).

fof(f1126,definition,
    ( spl0_187
  <=> c1_1(a1031) ),
    introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).

fof(f1127,plain,
    ( ~ c1_1(a1031)
    | spl0_187 ),
    inference(avatar_component_clause,[],[f1126]) ).

fof(f1128,plain,
    ( ~ spl0_187
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f187,f464,f1126]) ).

fof(f1130,definition,
    ( spl0_188
  <=> c3_1(a1031) ),
    introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).

fof(f1131,plain,
    ( c3_1(a1031)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1130]) ).

fof(f1132,plain,
    ( spl0_188
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f188,f464,f1130]) ).

fof(f1135,definition,
    ( spl0_189
  <=> c2_1(a1029) ),
    introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).

fof(f1138,plain,
    ( spl0_189
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f190,f669,f1135]) ).

fof(f1140,definition,
    ( spl0_190
  <=> c1_1(a1029) ),
    introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).

fof(f1141,plain,
    ( c1_1(a1029)
    | ~ spl0_190 ),
    inference(avatar_component_clause,[],[f1140]) ).

fof(f1142,plain,
    ( spl0_190
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f191,f669,f1140]) ).

fof(f1144,definition,
    ( spl0_191
  <=> c0_1(a1029) ),
    introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).

fof(f1146,plain,
    ( ~ spl0_191
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f192,f669,f1144]) ).

fof(f1191,definition,
    ( spl0_201
  <=> c1_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).

fof(f1192,plain,
    ( ~ c1_1(a1102)
    | spl0_201 ),
    inference(avatar_component_clause,[],[f1191]) ).

fof(f1194,plain,
    ( ~ spl0_201
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f206,f365,f1191]) ).

fof(f1196,definition,
    ( spl0_202
  <=> c2_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).

fof(f1198,plain,
    ( spl0_202
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f207,f365,f1196]) ).

fof(f1200,definition,
    ( spl0_203
  <=> c0_1(a1102) ),
    introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).

fof(f1202,plain,
    ( ~ spl0_203
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f208,f365,f1200]) ).

fof(f1205,definition,
    ( spl0_204
  <=> c0_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).

fof(f1208,plain,
    ( ~ spl0_204
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f210,f368,f1205]) ).

fof(f1210,definition,
    ( spl0_205
  <=> c1_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).

fof(f1212,plain,
    ( spl0_205
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f211,f368,f1210]) ).

fof(f1214,definition,
    ( spl0_206
  <=> c3_1(a1101) ),
    introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).

fof(f1215,plain,
    ( c3_1(a1101)
    | ~ spl0_206 ),
    inference(avatar_component_clause,[],[f1214]) ).

fof(f1216,plain,
    ( spl0_206
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f212,f368,f1214]) ).

fof(f1233,definition,
    ( spl0_210
  <=> c2_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).

fof(f1236,plain,
    ( ~ spl0_210
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f218,f443,f1233]) ).

fof(f1238,definition,
    ( spl0_211
  <=> c0_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).

fof(f1240,plain,
    ( ~ spl0_211
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f219,f443,f1238]) ).

fof(f1242,definition,
    ( spl0_212
  <=> c3_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).

fof(f1243,plain,
    ( ~ c3_1(a1091)
    | spl0_212 ),
    inference(avatar_component_clause,[],[f1242]) ).

fof(f1244,plain,
    ( ~ spl0_212
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f220,f443,f1242]) ).

fof(f1247,definition,
    ( spl0_213
  <=> c1_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).

fof(f1248,plain,
    ( ~ c1_1(a1089)
    | spl0_213 ),
    inference(avatar_component_clause,[],[f1247]) ).

fof(f1250,plain,
    ( ~ spl0_213
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f222,f454,f1247]) ).

fof(f1252,definition,
    ( spl0_214
  <=> c0_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).

fof(f1254,plain,
    ( spl0_214
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f223,f454,f1252]) ).

fof(f1256,definition,
    ( spl0_215
  <=> c2_1(a1089) ),
    introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).

fof(f1258,plain,
    ( ~ spl0_215
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f224,f454,f1256]) ).

fof(f1261,definition,
    ( spl0_216
  <=> c2_1(a1088) ),
    introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).

fof(f1264,plain,
    ( ~ spl0_216
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f226,f461,f1261]) ).

fof(f1266,definition,
    ( spl0_217
  <=> c3_1(a1088) ),
    introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).

fof(f1267,plain,
    ( c3_1(a1088)
    | ~ spl0_217 ),
    inference(avatar_component_clause,[],[f1266]) ).

fof(f1268,plain,
    ( spl0_217
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f227,f461,f1266]) ).

fof(f1270,definition,
    ( spl0_218
  <=> c1_1(a1088) ),
    introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).

fof(f1271,plain,
    ( c1_1(a1088)
    | ~ spl0_218 ),
    inference(avatar_component_clause,[],[f1270]) ).

fof(f1272,plain,
    ( spl0_218
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f228,f461,f1270]) ).

fof(f1275,definition,
    ( spl0_219
  <=> c1_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).

fof(f1276,plain,
    ( ~ c1_1(a1083)
    | spl0_219 ),
    inference(avatar_component_clause,[],[f1275]) ).

fof(f1278,plain,
    ( ~ spl0_219
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f230,f486,f1275]) ).

fof(f1280,definition,
    ( spl0_220
  <=> c3_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).

fof(f1281,plain,
    ( c3_1(a1083)
    | ~ spl0_220 ),
    inference(avatar_component_clause,[],[f1280]) ).

fof(f1282,plain,
    ( spl0_220
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f231,f486,f1280]) ).

fof(f1284,definition,
    ( spl0_221
  <=> c2_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).

fof(f1286,plain,
    ( spl0_221
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f232,f486,f1284]) ).

fof(f1289,definition,
    ( spl0_222
  <=> c0_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).

fof(f1292,plain,
    ( ~ spl0_222
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f234,f490,f1289]) ).

fof(f1294,definition,
    ( spl0_223
  <=> c2_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).

fof(f1296,plain,
    ( ~ spl0_223
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f235,f490,f1294]) ).

fof(f1298,definition,
    ( spl0_224
  <=> c3_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).

fof(f1299,plain,
    ( ~ c3_1(a1082)
    | spl0_224 ),
    inference(avatar_component_clause,[],[f1298]) ).

fof(f1300,plain,
    ( ~ spl0_224
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f236,f490,f1298]) ).

fof(f1303,definition,
    ( spl0_225
  <=> c1_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).

fof(f1304,plain,
    ( ~ c1_1(a1080)
    | spl0_225 ),
    inference(avatar_component_clause,[],[f1303]) ).

fof(f1306,plain,
    ( ~ spl0_225
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f238,f497,f1303]) ).

fof(f1308,definition,
    ( spl0_226
  <=> c2_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).

fof(f1310,plain,
    ( ~ spl0_226
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f239,f497,f1308]) ).

fof(f1312,definition,
    ( spl0_227
  <=> c0_1(a1080) ),
    introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).

fof(f1314,plain,
    ( ~ spl0_227
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f240,f497,f1312]) ).

fof(f1317,definition,
    ( spl0_228
  <=> c2_1(a1079) ),
    introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).

fof(f1320,plain,
    ( ~ spl0_228
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f242,f503,f1317]) ).

fof(f1322,definition,
    ( spl0_229
  <=> c0_1(a1079) ),
    introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).

fof(f1324,plain,
    ( ~ spl0_229
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f243,f503,f1322]) ).

fof(f1326,definition,
    ( spl0_230
  <=> c1_1(a1079) ),
    introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).

fof(f1327,plain,
    ( c1_1(a1079)
    | ~ spl0_230 ),
    inference(avatar_component_clause,[],[f1326]) ).

fof(f1328,plain,
    ( spl0_230
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f244,f503,f1326]) ).

fof(f1373,definition,
    ( spl0_240
  <=> c1_1(a1059) ),
    introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).

fof(f1374,plain,
    ( ~ c1_1(a1059)
    | spl0_240 ),
    inference(avatar_component_clause,[],[f1373]) ).

fof(f1376,plain,
    ( ~ spl0_240
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f258,f589,f1373]) ).

fof(f1378,definition,
    ( spl0_241
  <=> c2_1(a1059) ),
    introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).

fof(f1380,plain,
    ( spl0_241
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f259,f589,f1378]) ).

fof(f1382,definition,
    ( spl0_242
  <=> c3_1(a1059) ),
    introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).

fof(f1383,plain,
    ( c3_1(a1059)
    | ~ spl0_242 ),
    inference(avatar_component_clause,[],[f1382]) ).

fof(f1384,plain,
    ( spl0_242
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f260,f589,f1382]) ).

fof(f1387,definition,
    ( spl0_243
  <=> c2_1(a1055) ),
    introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).

fof(f1390,plain,
    ( ~ spl0_243
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f262,f429,f1387]) ).

fof(f1392,definition,
    ( spl0_244
  <=> c1_1(a1055) ),
    introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).

fof(f1393,plain,
    ( ~ c1_1(a1055)
    | spl0_244 ),
    inference(avatar_component_clause,[],[f1392]) ).

fof(f1394,plain,
    ( ~ spl0_244
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f263,f429,f1392]) ).

fof(f1396,definition,
    ( spl0_245
  <=> c0_1(a1055) ),
    introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).

fof(f1398,plain,
    ( ~ spl0_245
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f264,f429,f1396]) ).

fof(f1415,definition,
    ( spl0_249
  <=> c3_1(a1043) ),
    introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).

fof(f1416,plain,
    ( ~ c3_1(a1043)
    | spl0_249 ),
    inference(avatar_component_clause,[],[f1415]) ).

fof(f1418,plain,
    ( ~ spl0_249
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f270,f556,f1415]) ).

fof(f1420,definition,
    ( spl0_250
  <=> c0_1(a1043) ),
    introduced(definition,[new_symbols(definition,[spl0_250])],[avatar_definition]) ).

fof(f1422,plain,
    ( spl0_250
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f271,f556,f1420]) ).

fof(f1424,definition,
    ( spl0_251
  <=> c1_1(a1043) ),
    introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).

fof(f1426,plain,
    ( ~ spl0_251
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f272,f556,f1424]) ).

fof(f1443,definition,
    ( spl0_255
  <=> c0_1(a1039) ),
    introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).

fof(f1446,plain,
    ( ~ spl0_255
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f278,f593,f1443]) ).

fof(f1448,definition,
    ( spl0_256
  <=> c2_1(a1039) ),
    introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).

fof(f1450,plain,
    ( ~ spl0_256
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f279,f593,f1448]) ).

fof(f1452,definition,
    ( spl0_257
  <=> c1_1(a1039) ),
    introduced(definition,[new_symbols(definition,[spl0_257])],[avatar_definition]) ).

fof(f1453,plain,
    ( c1_1(a1039)
    | ~ spl0_257 ),
    inference(avatar_component_clause,[],[f1452]) ).

fof(f1454,plain,
    ( spl0_257
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f280,f593,f1452]) ).

fof(f1471,definition,
    ( spl0_261
  <=> c1_1(a1036) ),
    introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).

fof(f1474,plain,
    ( ~ spl0_261
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f286,f658,f1471]) ).

fof(f1476,definition,
    ( spl0_262
  <=> c3_1(a1036) ),
    introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).

fof(f1477,plain,
    ( ~ c3_1(a1036)
    | spl0_262 ),
    inference(avatar_component_clause,[],[f1476]) ).

fof(f1478,plain,
    ( ~ spl0_262
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f287,f658,f1476]) ).

fof(f1480,definition,
    ( spl0_263
  <=> c0_1(a1036) ),
    introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).

fof(f1482,plain,
    ( spl0_263
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f288,f658,f1480]) ).

fof(f1499,definition,
    ( spl0_267
  <=> c0_1(a1030) ),
    introduced(definition,[new_symbols(definition,[spl0_267])],[avatar_definition]) ).

fof(f1502,plain,
    ( ~ spl0_267
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f294,f666,f1499]) ).

fof(f1504,definition,
    ( spl0_268
  <=> c3_1(a1030) ),
    introduced(definition,[new_symbols(definition,[spl0_268])],[avatar_definition]) ).

fof(f1505,plain,
    ( ~ c3_1(a1030)
    | spl0_268 ),
    inference(avatar_component_clause,[],[f1504]) ).

fof(f1506,plain,
    ( ~ spl0_268
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f295,f666,f1504]) ).

fof(f1508,definition,
    ( spl0_269
  <=> c2_1(a1030) ),
    introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).

fof(f1510,plain,
    ( ~ spl0_269
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f296,f666,f1508]) ).

fof(f1596,plain,
    ( c0_1(a1103)
    | ~ c1_1(a1103)
    | ~ spl0_10
    | ~ spl0_100 ),
    inference(resolution,[],[f385,f721]) ).

fof(f1608,definition,
    ( spl0_289
  <=> c0_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).

fof(f1610,plain,
    ( ~ spl0_99
    | spl0_289
    | ~ spl0_10
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1596,f720,f384,f1608,f715]) ).

fof(f1617,definition,
    ( spl0_290
  <=> c2_1(a1037) ),
    introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).

fof(f1626,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(resolution,[],[f406,f379]) ).

fof(f1631,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f1626]) ).

fof(f1634,plain,
    ( spl0_28
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1631,f405,f378,f446]) ).

fof(f1652,plain,
    ( ~ c2_1(a1049)
    | ~ c0_1(a1049)
    | ~ spl0_19
    | ~ spl0_156 ),
    inference(resolution,[],[f416,f982]) ).

fof(f1660,plain,
    ( ~ spl0_158
    | ~ spl0_157
    | ~ spl0_19
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1652,f981,f415,f986,f990]) ).

fof(f1669,plain,
    ( ~ c2_1(a1037)
    | ~ c0_1(a1037)
    | ~ spl0_20
    | ~ spl0_174 ),
    inference(resolution,[],[f419,f1066]) ).

fof(f1675,plain,
    ( ~ spl0_175
    | ~ spl0_290
    | ~ spl0_20
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1669,f1065,f418,f1617,f1070]) ).

fof(f1678,definition,
    ( spl0_294
  <=> c0_1(a1031) ),
    introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).

fof(f1695,definition,
    ( spl0_296
  <=> c2_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_296])],[avatar_definition]) ).

fof(f1706,plain,
    ( ~ c2_1(a1103)
    | ~ c1_1(a1103)
    | ~ spl0_26
    | ~ spl0_100 ),
    inference(resolution,[],[f441,f721]) ).

fof(f1708,plain,
    ( ~ spl0_99
    | ~ spl0_101
    | ~ spl0_26
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1706,f720,f440,f724,f715]) ).

fof(f1762,plain,
    ( c1_1(a1031)
    | ~ c2_1(a1031)
    | ~ spl0_37
    | ~ spl0_188 ),
    inference(resolution,[],[f479,f1131]) ).

fof(f1765,plain,
    ( c1_1(a1037)
    | ~ c2_1(a1037)
    | ~ spl0_37
    | ~ spl0_174 ),
    inference(resolution,[],[f479,f1066]) ).

fof(f1775,plain,
    ( ~ spl0_290
    | spl0_176
    | ~ spl0_37
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1765,f1065,f478,f1074,f1617]) ).

fof(f1777,plain,
    ( ~ spl0_186
    | spl0_187
    | ~ spl0_37
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f1762,f1130,f478,f1126,f1121]) ).

fof(f1784,plain,
    ( c2_1(a1037)
    | ~ c0_1(a1037)
    | ~ spl0_38
    | ~ spl0_174 ),
    inference(resolution,[],[f482,f1066]) ).

fof(f1789,plain,
    ( ~ spl0_175
    | spl0_290
    | ~ spl0_38
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1784,f1065,f481,f1617,f1070]) ).

fof(f1807,plain,
    ( ~ c2_1(a1081)
    | ~ c1_1(a1081)
    | ~ spl0_26
    | ~ spl0_120 ),
    inference(resolution,[],[f814,f441]) ).

fof(f1810,definition,
    ( spl0_301
  <=> c2_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).

fof(f1814,plain,
    ( ~ spl0_122
    | ~ spl0_301
    | ~ spl0_26
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1807,f813,f440,f1810,f822]) ).

fof(f1827,plain,
    ( ~ c2_1(a1059)
    | ~ c0_1(a1059)
    | ~ spl0_20
    | ~ spl0_242 ),
    inference(resolution,[],[f1383,f419]) ).

fof(f1829,definition,
    ( spl0_302
  <=> c0_1(a1059) ),
    introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).

fof(f1832,plain,
    ( ~ spl0_302
    | ~ spl0_241
    | ~ spl0_20
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f1827,f1382,f418,f1378,f1829]) ).

fof(f1866,definition,
    ( spl0_304
  <=> c2_1(a1036) ),
    introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).

fof(f1889,plain,
    ( c1_1(a1059)
    | ~ c2_1(a1059)
    | ~ spl0_37
    | ~ spl0_242 ),
    inference(resolution,[],[f479,f1383]) ).

fof(f1899,plain,
    ( ~ spl0_241
    | spl0_240
    | ~ spl0_37
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f1889,f1382,f478,f1373,f1378]) ).

fof(f1909,definition,
    ( spl0_306
  <=> c0_1(a1105) ),
    introduced(definition,[new_symbols(definition,[spl0_306])],[avatar_definition]) ).

fof(f1940,plain,
    ( c2_1(a1037)
    | ~ c0_1(a1037)
    | ~ spl0_13
    | spl0_176 ),
    inference(resolution,[],[f395,f1075]) ).

fof(f1947,plain,
    ( ~ spl0_175
    | spl0_290
    | ~ spl0_13
    | spl0_176 ),
    inference(avatar_split_clause,[],[f1940,f1074,f394,f1617,f1070]) ).

fof(f2002,plain,
    ( ~ c1_1(a1105)
    | c2_1(a1105)
    | ~ spl0_18
    | ~ spl0_96 ),
    inference(resolution,[],[f412,f701]) ).

fof(f2004,plain,
    ( spl0_98
    | ~ spl0_97
    | ~ spl0_18
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2002,f700,f411,f705,f709]) ).

fof(f2015,plain,
    ( ~ c2_1(a1103)
    | ~ c0_1(a1103)
    | ~ spl0_19
    | ~ spl0_99 ),
    inference(resolution,[],[f716,f416]) ).

fof(f2017,plain,
    ( c1_1(a1083)
    | ~ c2_1(a1083)
    | ~ spl0_37
    | ~ spl0_220 ),
    inference(resolution,[],[f1281,f479]) ).

fof(f2021,definition,
    ( spl0_309
  <=> c0_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).

fof(f2026,plain,
    ( ~ spl0_221
    | spl0_219
    | ~ spl0_37
    | ~ spl0_220 ),
    inference(avatar_split_clause,[],[f2017,f1280,f478,f1275,f1284]) ).

fof(f2065,plain,
    ( c0_1(a1034)
    | ~ c1_1(a1034)
    | ~ spl0_10
    | ~ spl0_179 ),
    inference(resolution,[],[f385,f1089]) ).

fof(f2070,plain,
    ( ~ spl0_177
    | spl0_178
    | ~ spl0_10
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f2065,f1088,f384,f1084,f1079]) ).

fof(f2118,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_15
    | ~ spl0_22 ),
    inference(resolution,[],[f402,f426]) ).

fof(f2120,plain,
    ( c0_1(a1083)
    | ~ c2_1(a1083)
    | ~ spl0_15
    | ~ spl0_220 ),
    inference(resolution,[],[f402,f1281]) ).

fof(f2126,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_15
    | ~ spl0_22 ),
    inference(duplicate_literal_removal,[],[f2118]) ).

fof(f2129,plain,
    ( ~ spl0_221
    | spl0_309
    | ~ spl0_15
    | ~ spl0_220 ),
    inference(avatar_split_clause,[],[f2120,f1280,f401,f2021,f1284]) ).

fof(f2130,plain,
    ( spl0_56
    | ~ spl0_15
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f2126,f425,f401,f545]) ).

fof(f2173,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(resolution,[],[f458,f402]) ).

fof(f2175,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(resolution,[],[f458,f406]) ).

fof(f2176,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_31
    | ~ spl0_37 ),
    inference(resolution,[],[f458,f479]) ).

fof(f2186,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_31
    | ~ spl0_37 ),
    inference(duplicate_literal_removal,[],[f2176]) ).

fof(f2187,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f2175]) ).

fof(f2189,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f2173]) ).

fof(f2192,plain,
    ( spl0_56
    | ~ spl0_31
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f2186,f478,f457,f545]) ).

fof(f2193,plain,
    ( spl0_56
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f2189,f457,f401,f545]) ).

fof(f2219,plain,
    ( c1_1(a1036)
    | ~ c0_1(a1036)
    | ~ spl0_43
    | spl0_262 ),
    inference(resolution,[],[f501,f1477]) ).

fof(f2223,plain,
    ( c1_1(a1084)
    | ~ c0_1(a1084)
    | ~ spl0_43
    | spl0_119 ),
    inference(resolution,[],[f501,f809]) ).

fof(f2249,definition,
    ( spl0_310
  <=> c0_1(a1032) ),
    introduced(definition,[new_symbols(definition,[spl0_310])],[avatar_definition]) ).

fof(f2305,plain,
    ( c2_1(a1088)
    | c0_1(a1088)
    | ~ spl0_16
    | ~ spl0_217 ),
    inference(resolution,[],[f1267,f406]) ).

fof(f2310,definition,
    ( spl0_311
  <=> c0_1(a1088) ),
    introduced(definition,[new_symbols(definition,[spl0_311])],[avatar_definition]) ).

fof(f2313,plain,
    ( spl0_311
    | spl0_216
    | ~ spl0_16
    | ~ spl0_217 ),
    inference(avatar_split_clause,[],[f2305,f1266,f405,f1261,f2310]) ).

fof(f2328,plain,
    ( c2_1(a1032)
    | ~ c0_1(a1032)
    | ~ spl0_13
    | spl0_184 ),
    inference(resolution,[],[f395,f1113]) ).

fof(f2338,plain,
    ( ~ spl0_310
    | spl0_185
    | ~ spl0_13
    | spl0_184 ),
    inference(avatar_split_clause,[],[f2328,f1112,f394,f1116,f2249]) ).

fof(f2379,definition,
    ( spl0_314
  <=> c0_1(a1056) ),
    introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).

fof(f2391,definition,
    ( spl0_315
  <=> c1_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_315])],[avatar_definition]) ).

fof(f2421,plain,
    ( ~ spl0_289
    | ~ spl0_101
    | ~ spl0_19
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f2015,f715,f415,f724,f1608]) ).

fof(f2423,plain,
    ( ~ spl0_263
    | spl0_261
    | ~ spl0_43
    | spl0_262 ),
    inference(avatar_split_clause,[],[f2219,f1476,f500,f1471,f1480]) ).

fof(f2439,plain,
    ( c0_1(a1101)
    | ~ c1_1(a1101)
    | ~ spl0_10
    | ~ spl0_206 ),
    inference(resolution,[],[f385,f1215]) ).

fof(f2447,plain,
    ( c0_1(a1105)
    | ~ c1_1(a1105)
    | ~ spl0_10
    | ~ spl0_96 ),
    inference(resolution,[],[f385,f701]) ).

fof(f2449,plain,
    ( ~ spl0_97
    | spl0_306
    | ~ spl0_10
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2447,f700,f384,f1909,f705]) ).

fof(f2454,plain,
    ( ~ spl0_205
    | spl0_204
    | ~ spl0_10
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f2439,f1214,f384,f1205,f1210]) ).

fof(f2469,plain,
    ( ~ c2_1(a1056)
    | ~ c0_1(a1056)
    | ~ spl0_19
    | ~ spl0_145 ),
    inference(resolution,[],[f416,f931]) ).

fof(f2471,plain,
    ( ~ c2_1(a1073)
    | ~ c0_1(a1073)
    | ~ spl0_19
    | ~ spl0_128 ),
    inference(resolution,[],[f416,f851]) ).

fof(f2481,plain,
    ( ~ spl0_126
    | ~ spl0_127
    | ~ spl0_19
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f2471,f850,f415,f846,f841]) ).

fof(f2482,plain,
    ( ~ spl0_314
    | ~ spl0_146
    | ~ spl0_19
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2469,f930,f415,f934,f2379]) ).

fof(f2545,plain,
    ( ~ c2_1(a1083)
    | ~ c0_1(a1083)
    | ~ spl0_20
    | ~ spl0_220 ),
    inference(resolution,[],[f419,f1281]) ).

fof(f2548,plain,
    ( ~ c2_1(a1031)
    | ~ c0_1(a1031)
    | ~ spl0_20
    | ~ spl0_188 ),
    inference(resolution,[],[f419,f1131]) ).

fof(f2550,plain,
    ( ~ c2_1(a1062)
    | ~ c0_1(a1062)
    | ~ spl0_20
    | ~ spl0_143 ),
    inference(resolution,[],[f419,f921]) ).

fof(f2551,plain,
    ( ~ c2_1(a1074)
    | ~ c0_1(a1074)
    | ~ spl0_20
    | ~ spl0_125 ),
    inference(resolution,[],[f419,f837]) ).

fof(f2552,plain,
    ( ~ c2_1(a1085)
    | ~ c0_1(a1085)
    | ~ spl0_20
    | ~ spl0_114 ),
    inference(resolution,[],[f419,f786]) ).

fof(f2555,plain,
    ( ~ spl0_115
    | ~ spl0_116
    | ~ spl0_20
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2552,f785,f418,f794,f790]) ).

fof(f2558,plain,
    ( ~ spl0_124
    | ~ spl0_123
    | ~ spl0_20
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f2551,f836,f418,f827,f832]) ).

fof(f2561,plain,
    ( ~ spl0_141
    | ~ spl0_142
    | ~ spl0_20
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f2550,f920,f418,f916,f911]) ).

fof(f2563,plain,
    ( ~ spl0_294
    | ~ spl0_186
    | ~ spl0_20
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f2548,f1130,f418,f1121,f1678]) ).

fof(f2565,plain,
    ( ~ spl0_309
    | ~ spl0_221
    | ~ spl0_20
    | ~ spl0_220 ),
    inference(avatar_split_clause,[],[f2545,f1280,f418,f1284,f2021]) ).

fof(f2571,plain,
    ( ~ c2_1(a1036)
    | c1_1(a1036)
    | ~ spl0_22
    | spl0_262 ),
    inference(resolution,[],[f426,f1477]) ).

fof(f2577,plain,
    ( ~ c2_1(a1084)
    | c1_1(a1084)
    | ~ spl0_22
    | spl0_119 ),
    inference(resolution,[],[f426,f809]) ).

fof(f2581,plain,
    ( spl0_118
    | ~ spl0_296
    | ~ spl0_22
    | spl0_119 ),
    inference(avatar_split_clause,[],[f2577,f808,f425,f1695,f804]) ).

fof(f2586,plain,
    ( spl0_261
    | ~ spl0_304
    | ~ spl0_22
    | spl0_262 ),
    inference(avatar_split_clause,[],[f2571,f1476,f425,f1866,f1471]) ).

fof(f2596,plain,
    ( ~ c2_1(a1040)
    | ~ c1_1(a1040)
    | ~ spl0_26
    | ~ spl0_172 ),
    inference(resolution,[],[f441,f1057]) ).

fof(f2608,plain,
    ( ~ spl0_173
    | ~ spl0_171
    | ~ spl0_26
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f2596,f1056,f440,f1051,f1060]) ).

fof(f2612,plain,
    ( c0_1(a1088)
    | c2_1(a1088)
    | ~ spl0_28
    | ~ spl0_218 ),
    inference(resolution,[],[f447,f1271]) ).

fof(f2623,plain,
    ( c0_1(a1105)
    | c2_1(a1105)
    | ~ spl0_28
    | ~ spl0_97 ),
    inference(resolution,[],[f447,f706]) ).

fof(f2624,plain,
    ( spl0_98
    | spl0_306
    | ~ spl0_28
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2623,f705,f446,f1909,f709]) ).

fof(f2628,plain,
    ( spl0_216
    | spl0_311
    | ~ spl0_28
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f2612,f1270,f446,f2310,f1261]) ).

fof(f2634,plain,
    ( c2_1(a1088)
    | ~ c0_1(a1088)
    | ~ spl0_38
    | ~ spl0_217 ),
    inference(resolution,[],[f482,f1267]) ).

fof(f2641,plain,
    ( c2_1(a1105)
    | ~ c0_1(a1105)
    | ~ spl0_38
    | ~ spl0_96 ),
    inference(resolution,[],[f482,f701]) ).

fof(f2643,plain,
    ( ~ spl0_306
    | spl0_98
    | ~ spl0_38
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2641,f700,f481,f709,f1909]) ).

fof(f2648,plain,
    ( ~ spl0_311
    | spl0_216
    | ~ spl0_38
    | ~ spl0_217 ),
    inference(avatar_split_clause,[],[f2634,f1266,f481,f1261,f2310]) ).

fof(f2659,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_20
    | ~ spl0_48 ),
    inference(resolution,[],[f518,f419]) ).

fof(f2671,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f2659]) ).

fof(f2697,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_38
    | ~ spl0_55 ),
    inference(resolution,[],[f543,f482]) ).

fof(f2701,plain,
    ( c2_1(a1036)
    | c1_1(a1036)
    | ~ spl0_55
    | spl0_262 ),
    inference(resolution,[],[f543,f1477]) ).

fof(f2704,plain,
    ( c2_1(a1091)
    | c1_1(a1091)
    | ~ spl0_55
    | spl0_212 ),
    inference(resolution,[],[f543,f1243]) ).

fof(f2707,plain,
    ( c2_1(a1084)
    | c1_1(a1084)
    | ~ spl0_55
    | spl0_119 ),
    inference(resolution,[],[f543,f809]) ).

fof(f2710,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_38
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f2697]) ).

fof(f2712,plain,
    ( spl0_118
    | spl0_296
    | ~ spl0_55
    | spl0_119 ),
    inference(avatar_split_clause,[],[f2707,f808,f542,f1695,f804]) ).

fof(f2714,plain,
    ( spl0_315
    | spl0_210
    | ~ spl0_55
    | spl0_212 ),
    inference(avatar_split_clause,[],[f2704,f1242,f542,f1233,f2391]) ).

fof(f2717,plain,
    ( spl0_261
    | spl0_304
    | ~ spl0_55
    | spl0_262 ),
    inference(avatar_split_clause,[],[f2701,f1476,f542,f1866,f1471]) ).

fof(f2718,plain,
    ( spl0_13
    | ~ spl0_38
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f2710,f542,f481,f394]) ).

fof(f2726,plain,
    ( ~ c2_1(a1059)
    | c0_1(a1059)
    | ~ spl0_56
    | spl0_240 ),
    inference(resolution,[],[f546,f1374]) ).

fof(f2729,plain,
    ( ~ c2_1(a1083)
    | c0_1(a1083)
    | ~ spl0_56
    | spl0_219 ),
    inference(resolution,[],[f546,f1276]) ).

fof(f2731,plain,
    ( ~ c2_1(a1102)
    | c0_1(a1102)
    | ~ spl0_56
    | spl0_201 ),
    inference(resolution,[],[f546,f1192]) ).

fof(f2733,plain,
    ( ~ c2_1(a1031)
    | c0_1(a1031)
    | ~ spl0_56
    | spl0_187 ),
    inference(resolution,[],[f546,f1127]) ).

fof(f2750,plain,
    ( spl0_294
    | ~ spl0_186
    | ~ spl0_56
    | spl0_187 ),
    inference(avatar_split_clause,[],[f2733,f1126,f545,f1121,f1678]) ).

fof(f2754,plain,
    ( spl0_203
    | ~ spl0_202
    | ~ spl0_56
    | spl0_201 ),
    inference(avatar_split_clause,[],[f2731,f1191,f545,f1196,f1200]) ).

fof(f2755,plain,
    ( spl0_309
    | ~ spl0_221
    | ~ spl0_56
    | spl0_219 ),
    inference(avatar_split_clause,[],[f2729,f1275,f545,f1284,f2021]) ).

fof(f2756,plain,
    ( spl0_302
    | ~ spl0_241
    | ~ spl0_56
    | spl0_240 ),
    inference(avatar_split_clause,[],[f2726,f1373,f545,f1378,f1829]) ).

fof(f2785,plain,
    ( c0_1(a1029)
    | ~ c2_1(a1029)
    | ~ spl0_58
    | ~ spl0_190 ),
    inference(resolution,[],[f553,f1141]) ).

fof(f2789,plain,
    ( c0_1(a1056)
    | ~ c2_1(a1056)
    | ~ spl0_58
    | ~ spl0_145 ),
    inference(resolution,[],[f553,f931]) ).

fof(f2791,plain,
    ( c0_1(a1081)
    | ~ c2_1(a1081)
    | ~ spl0_58
    | ~ spl0_122 ),
    inference(resolution,[],[f553,f823]) ).

fof(f2800,plain,
    ( ~ spl0_146
    | spl0_314
    | ~ spl0_58
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f2789,f930,f552,f2379,f934]) ).

fof(f2802,plain,
    ( ~ spl0_189
    | spl0_191
    | ~ spl0_58
    | ~ spl0_190 ),
    inference(avatar_split_clause,[],[f2785,f1140,f552,f1144,f1135]) ).

fof(f2869,plain,
    ( c0_1(a1082)
    | c2_1(a1082)
    | ~ spl0_63
    | spl0_224 ),
    inference(resolution,[],[f571,f1299]) ).

fof(f2885,plain,
    ( c0_1(a1039)
    | c2_1(a1039)
    | ~ spl0_28
    | ~ spl0_257 ),
    inference(resolution,[],[f1453,f447]) ).

fof(f2888,plain,
    ( spl0_256
    | spl0_255
    | ~ spl0_28
    | ~ spl0_257 ),
    inference(avatar_split_clause,[],[f2885,f1452,f446,f1443,f1448]) ).

fof(f2898,plain,
    ( spl0_21
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f2187,f457,f405,f422]) ).

fof(f2914,plain,
    ( c2_1(a1032)
    | ~ c0_1(a1032)
    | ~ spl0_38
    | ~ spl0_183 ),
    inference(resolution,[],[f1108,f482]) ).

fof(f2915,plain,
    ( ~ c0_1(a1032)
    | c1_1(a1032)
    | ~ spl0_52
    | ~ spl0_183 ),
    inference(resolution,[],[f1108,f533]) ).

fof(f2916,plain,
    ( spl0_184
    | ~ spl0_310
    | ~ spl0_52
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f2915,f1107,f532,f2249,f1112]) ).

fof(f2917,plain,
    ( ~ spl0_310
    | spl0_185
    | ~ spl0_38
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f2914,f1107,f481,f1116,f2249]) ).

fof(f2957,plain,
    ( spl0_223
    | spl0_222
    | ~ spl0_63
    | spl0_224 ),
    inference(avatar_split_clause,[],[f2869,f1298,f570,f1289,f1294]) ).

fof(f2976,plain,
    ( c2_1(a1091)
    | ~ c1_1(a1091)
    | ~ spl0_8
    | spl0_212 ),
    inference(resolution,[],[f379,f1243]) ).

fof(f2987,plain,
    ( ~ spl0_315
    | spl0_210
    | ~ spl0_8
    | spl0_212 ),
    inference(avatar_split_clause,[],[f2976,f1242,f378,f1233,f2391]) ).

fof(f2999,plain,
    ( c2_1(a1089)
    | ~ c0_1(a1089)
    | ~ spl0_13
    | spl0_213 ),
    inference(resolution,[],[f395,f1248]) ).

fof(f3006,plain,
    ( c2_1(a1053)
    | ~ c0_1(a1053)
    | ~ spl0_13
    | spl0_149 ),
    inference(resolution,[],[f395,f949]) ).

fof(f3008,plain,
    ( c2_1(a1084)
    | ~ c0_1(a1084)
    | ~ spl0_13
    | spl0_118 ),
    inference(resolution,[],[f395,f805]) ).

fof(f3011,plain,
    ( ~ spl0_117
    | spl0_296
    | ~ spl0_13
    | spl0_118 ),
    inference(avatar_split_clause,[],[f3008,f804,f394,f1695,f799]) ).

fof(f3012,plain,
    ( ~ spl0_147
    | spl0_148
    | ~ spl0_13
    | spl0_149 ),
    inference(avatar_split_clause,[],[f3006,f948,f394,f944,f939]) ).

fof(f3015,plain,
    ( ~ spl0_214
    | spl0_215
    | ~ spl0_13
    | spl0_213 ),
    inference(avatar_split_clause,[],[f2999,f1247,f394,f1256,f1252]) ).

fof(f3025,plain,
    ( c0_1(a1079)
    | c2_1(a1079)
    | ~ spl0_28
    | ~ spl0_230 ),
    inference(resolution,[],[f447,f1327]) ).

fof(f3034,plain,
    ( c0_1(a1065)
    | c2_1(a1065)
    | ~ spl0_28
    | ~ spl0_138 ),
    inference(resolution,[],[f447,f898]) ).

fof(f3035,plain,
    ( c0_1(a1081)
    | c2_1(a1081)
    | ~ spl0_28
    | ~ spl0_122 ),
    inference(resolution,[],[f447,f823]) ).

fof(f3042,plain,
    ( spl0_301
    | spl0_121
    | ~ spl0_28
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f3035,f822,f446,f818,f1810]) ).

fof(f3043,plain,
    ( spl0_139
    | spl0_140
    | ~ spl0_28
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f3034,f897,f446,f906,f902]) ).

fof(f3045,plain,
    ( spl0_228
    | spl0_229
    | ~ spl0_28
    | ~ spl0_230 ),
    inference(avatar_split_clause,[],[f3025,f1326,f446,f1322,f1317]) ).

fof(f3079,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_26
    | ~ spl0_67 ),
    inference(resolution,[],[f586,f441]) ).

fof(f3092,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_26
    | ~ spl0_67 ),
    inference(duplicate_literal_removal,[],[f3079]) ).

fof(f3103,plain,
    ( spl0_58
    | ~ spl0_26
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f3092,f585,f440,f552]) ).

fof(f3108,plain,
    ( ~ spl0_301
    | spl0_121
    | ~ spl0_58
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2791,f822,f552,f818,f1810]) ).

fof(f3110,plain,
    ( c0_1(a1030)
    | c2_1(a1030)
    | ~ spl0_63
    | spl0_268 ),
    inference(resolution,[],[f1505,f571]) ).

fof(f3118,plain,
    ( spl0_269
    | spl0_267
    | ~ spl0_63
    | spl0_268 ),
    inference(avatar_split_clause,[],[f3110,f1504,f570,f1499,f1508]) ).

fof(f3120,plain,
    ( spl0_19
    | ~ spl0_20
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f2671,f517,f418,f415]) ).

fof(f3141,plain,
    ( ~ spl0_117
    | spl0_118
    | ~ spl0_43
    | spl0_119 ),
    inference(avatar_split_clause,[],[f2223,f808,f500,f804,f799]) ).

fof(f3178,plain,
    ( ~ c2_1(a1103)
    | ~ c0_1(a1103)
    | ~ spl0_20
    | ~ spl0_100 ),
    inference(resolution,[],[f721,f419]) ).

fof(f3180,plain,
    ( ~ spl0_289
    | ~ spl0_101
    | ~ spl0_20
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f3178,f720,f418,f724,f1608]) ).

fof(f3258,plain,
    ( c2_1(a1055)
    | c0_1(a1055)
    | ~ spl0_21
    | spl0_244 ),
    inference(resolution,[],[f423,f1393]) ).

fof(f3260,plain,
    ( c2_1(a1080)
    | c0_1(a1080)
    | ~ spl0_21
    | spl0_225 ),
    inference(resolution,[],[f423,f1304]) ).

fof(f3265,plain,
    ( c2_1(a1032)
    | c0_1(a1032)
    | ~ spl0_21
    | spl0_184 ),
    inference(resolution,[],[f423,f1113]) ).

fof(f3273,plain,
    ( spl0_310
    | spl0_185
    | ~ spl0_21
    | spl0_184 ),
    inference(avatar_split_clause,[],[f3265,f1112,f422,f1116,f2249]) ).

fof(f3274,plain,
    ( spl0_227
    | spl0_226
    | ~ spl0_21
    | spl0_225 ),
    inference(avatar_split_clause,[],[f3260,f1303,f422,f1308,f1312]) ).

fof(f3275,plain,
    ( spl0_245
    | spl0_243
    | ~ spl0_21
    | spl0_244 ),
    inference(avatar_split_clause,[],[f3258,f1392,f422,f1387,f1396]) ).

fof(f3286,plain,
    ( c1_1(a1091)
    | c0_1(a1091)
    | ~ spl0_31
    | spl0_212 ),
    inference(resolution,[],[f458,f1243]) ).

fof(f3292,plain,
    ( spl0_211
    | spl0_315
    | ~ spl0_31
    | spl0_212 ),
    inference(avatar_split_clause,[],[f3286,f1242,f457,f2391,f1238]) ).

fof(f3316,plain,
    ( c1_1(a1043)
    | ~ c0_1(a1043)
    | ~ spl0_43
    | spl0_249 ),
    inference(resolution,[],[f501,f1416]) ).

fof(f3326,plain,
    ( ~ spl0_250
    | spl0_251
    | ~ spl0_43
    | spl0_249 ),
    inference(avatar_split_clause,[],[f3316,f1415,f500,f1424,f1420]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f363]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f373]) ).

cnf(s7,plain,
    ( spl0_19
    | ~ spl0_9
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f420]) ).

cnf(s8,plain,
    ( ~ spl0_9
    | spl0_19
    | spl0_20 ),
    inference(rat,[],[s7]) ).

cnf(s9,plain,
    ( ~ spl0_9
    | spl0_15
    | spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s12,plain,
    ( ~ spl0_9
    | spl0_26
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f448]) ).

cnf(s14,plain,
    ( ~ spl0_9
    | spl0_10
    | spl0_30
    | spl0_31 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s15,plain,
    ( ~ spl0_9
    | spl0_20
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s17,plain,
    ( ~ spl0_9
    | spl0_36
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s18,plain,
    ( spl0_8
    | ~ spl0_9
    | spl0_28
    | spl0_31 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s19,plain,
    ( spl0_2
    | ~ spl0_9
    | spl0_18
    | spl0_39 ),
    inference(sat_conversion,[],[f488]) ).

cnf(s20,plain,
    ( ~ spl0_9
    | spl0_13
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s21,plain,
    ( ~ spl0_9
    | spl0_42
    | spl0_43
    | spl0_44 ),
    inference(sat_conversion,[],[f505]) ).

cnf(s23,plain,
    ( ~ spl0_9
    | spl0_26
    | spl0_43
    | spl0_48 ),
    inference(sat_conversion,[],[f519]) ).

cnf(s24,plain,
    ( ~ spl0_9
    | spl0_26
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s25,plain,
    ( ~ spl0_9
    | spl0_20
    | spl0_37
    | spl0_51 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s27,plain,
    ( ~ spl0_9
    | spl0_43
    | spl0_55
    | spl0_56 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s30,plain,
    ( ~ spl0_9
    | spl0_22
    | spl0_31
    | spl0_56 ),
    inference(sat_conversion,[],[f565]) ).

cnf(s32,plain,
    ( ~ spl0_9
    | spl0_31
    | spl0_38
    | spl0_64 ),
    inference(sat_conversion,[],[f576]) ).

cnf(s34,plain,
    ( ~ spl0_9
    | spl0_24
    | spl0_29
    | spl0_67 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s35,plain,
    ( ~ spl0_9
    | spl0_16
    | spl0_33
    | spl0_68 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s36,plain,
    ( spl0_6
    | ~ spl0_9
    | spl0_58
    | spl0_69 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s38,plain,
    ( spl0_23
    | spl0_72
    | spl0_73 ),
    inference(sat_conversion,[],[f609]) ).

cnf(s45,plain,
    ( ~ spl0_9
    | spl0_19
    | spl0_38
    | spl0_59 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s47,plain,
    ( ~ spl0_9
    | spl0_38
    | spl0_52
    | spl0_72 ),
    inference(sat_conversion,[],[f645]) ).

cnf(s48,plain,
    ( ~ spl0_9
    | spl0_63
    | spl0_69 ),
    inference(sat_conversion,[],[f646]) ).

cnf(s50,plain,
    ( ~ spl0_9
    | spl0_10
    | spl0_85
    | spl0_86 ),
    inference(sat_conversion,[],[f660]) ).

cnf(s53,plain,
    ( spl0_8
    | ~ spl0_9
    | spl0_43
    | spl0_53 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s54,plain,
    ( ~ spl0_9
    | spl0_26
    | spl0_28
    | spl0_33 ),
    inference(sat_conversion,[],[f664]) ).

cnf(s55,plain,
    ( ~ spl0_9
    | spl0_48
    | spl0_87
    | spl0_88 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s62,plain,
    ( ~ spl0_1
    | spl0_96 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s63,plain,
    ( ~ spl0_1
    | spl0_97 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s64,plain,
    ( ~ spl0_1
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f711]) ).

cnf(s65,plain,
    ( ~ spl0_1
    | spl0_9 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s66,plain,
    ( ~ spl0_3
    | spl0_99 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s67,plain,
    ( ~ spl0_3
    | spl0_100 ),
    inference(sat_conversion,[],[f722]) ).

cnf(s68,plain,
    ( ~ spl0_3
    | spl0_101 ),
    inference(sat_conversion,[],[f726]) ).

cnf(s69,plain,
    ( ~ spl0_3
    | spl0_9 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s86,plain,
    ( ~ spl0_36
    | spl0_114 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s87,plain,
    ( ~ spl0_36
    | spl0_115 ),
    inference(sat_conversion,[],[f792]) ).

cnf(s88,plain,
    ( ~ spl0_36
    | spl0_116 ),
    inference(sat_conversion,[],[f796]) ).

cnf(s90,plain,
    ( ~ spl0_2
    | spl0_117 ),
    inference(sat_conversion,[],[f802]) ).

cnf(s91,plain,
    ( ~ spl0_2
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f806]) ).

cnf(s92,plain,
    ( ~ spl0_2
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f810]) ).

cnf(s93,plain,
    ( ~ spl0_2
    | spl0_9 ),
    inference(sat_conversion,[],[f811]) ).

cnf(s94,plain,
    ( ~ spl0_41
    | spl0_120 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s95,plain,
    ( ~ spl0_41
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s96,plain,
    ( ~ spl0_41
    | spl0_122 ),
    inference(sat_conversion,[],[f824]) ).

cnf(s98,plain,
    ( ~ spl0_50
    | spl0_123 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s99,plain,
    ( ~ spl0_50
    | spl0_124 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s100,plain,
    ( ~ spl0_50
    | spl0_125 ),
    inference(sat_conversion,[],[f838]) ).

cnf(s102,plain,
    ( ~ spl0_51
    | spl0_126 ),
    inference(sat_conversion,[],[f844]) ).

cnf(s103,plain,
    ( ~ spl0_51
    | spl0_127 ),
    inference(sat_conversion,[],[f848]) ).

cnf(s104,plain,
    ( ~ spl0_51
    | spl0_128 ),
    inference(sat_conversion,[],[f852]) ).

cnf(s118,plain,
    ( ~ spl0_64
    | spl0_138 ),
    inference(sat_conversion,[],[f900]) ).

cnf(s119,plain,
    ( ~ spl0_64
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f904]) ).

cnf(s120,plain,
    ( ~ spl0_64
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f908]) ).

cnf(s122,plain,
    ( ~ spl0_24
    | spl0_141 ),
    inference(sat_conversion,[],[f914]) ).

cnf(s123,plain,
    ( ~ spl0_24
    | spl0_142 ),
    inference(sat_conversion,[],[f918]) ).

cnf(s124,plain,
    ( ~ spl0_24
    | spl0_143 ),
    inference(sat_conversion,[],[f922]) ).

cnf(s127,plain,
    ( ~ spl0_49
    | spl0_145 ),
    inference(sat_conversion,[],[f932]) ).

cnf(s128,plain,
    ( ~ spl0_49
    | spl0_146 ),
    inference(sat_conversion,[],[f936]) ).

cnf(s130,plain,
    ( ~ spl0_73
    | spl0_147 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s131,plain,
    ( ~ spl0_73
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f946]) ).

cnf(s132,plain,
    ( ~ spl0_73
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f950]) ).

cnf(s142,plain,
    ( ~ spl0_6
    | spl0_156 ),
    inference(sat_conversion,[],[f984]) ).

cnf(s143,plain,
    ( ~ spl0_6
    | spl0_157 ),
    inference(sat_conversion,[],[f988]) ).

cnf(s144,plain,
    ( ~ spl0_6
    | spl0_158 ),
    inference(sat_conversion,[],[f992]) ).

cnf(s162,plain,
    ( ~ spl0_72
    | spl0_171 ),
    inference(sat_conversion,[],[f1054]) ).

cnf(s163,plain,
    ( ~ spl0_72
    | spl0_172 ),
    inference(sat_conversion,[],[f1058]) ).

cnf(s164,plain,
    ( ~ spl0_72
    | spl0_173 ),
    inference(sat_conversion,[],[f1062]) ).

cnf(s166,plain,
    ( ~ spl0_85
    | spl0_174 ),
    inference(sat_conversion,[],[f1068]) ).

cnf(s167,plain,
    ( ~ spl0_85
    | spl0_175 ),
    inference(sat_conversion,[],[f1072]) ).

cnf(s168,plain,
    ( ~ spl0_85
    | ~ spl0_176 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s170,plain,
    ( ~ spl0_29
    | spl0_177 ),
    inference(sat_conversion,[],[f1082]) ).

cnf(s171,plain,
    ( ~ spl0_29
    | ~ spl0_178 ),
    inference(sat_conversion,[],[f1086]) ).

cnf(s172,plain,
    ( ~ spl0_29
    | spl0_179 ),
    inference(sat_conversion,[],[f1090]) ).

cnf(s178,plain,
    ( ~ spl0_53
    | spl0_183 ),
    inference(sat_conversion,[],[f1110]) ).

cnf(s179,plain,
    ( ~ spl0_53
    | ~ spl0_184 ),
    inference(sat_conversion,[],[f1114]) ).

cnf(s180,plain,
    ( ~ spl0_53
    | ~ spl0_185 ),
    inference(sat_conversion,[],[f1118]) ).

cnf(s182,plain,
    ( ~ spl0_33
    | spl0_186 ),
    inference(sat_conversion,[],[f1124]) ).

cnf(s183,plain,
    ( ~ spl0_33
    | ~ spl0_187 ),
    inference(sat_conversion,[],[f1128]) ).

cnf(s184,plain,
    ( ~ spl0_33
    | spl0_188 ),
    inference(sat_conversion,[],[f1132]) ).

cnf(s186,plain,
    ( ~ spl0_88
    | spl0_189 ),
    inference(sat_conversion,[],[f1138]) ).

cnf(s187,plain,
    ( ~ spl0_88
    | spl0_190 ),
    inference(sat_conversion,[],[f1142]) ).

cnf(s188,plain,
    ( ~ spl0_88
    | ~ spl0_191 ),
    inference(sat_conversion,[],[f1146]) ).

cnf(s202,plain,
    ( ~ spl0_4
    | ~ spl0_201 ),
    inference(sat_conversion,[],[f1194]) ).

cnf(s203,plain,
    ( ~ spl0_4
    | spl0_202 ),
    inference(sat_conversion,[],[f1198]) ).

cnf(s204,plain,
    ( ~ spl0_4
    | ~ spl0_203 ),
    inference(sat_conversion,[],[f1202]) ).

cnf(s206,plain,
    ( ~ spl0_5
    | ~ spl0_204 ),
    inference(sat_conversion,[],[f1208]) ).

cnf(s207,plain,
    ( ~ spl0_5
    | spl0_205 ),
    inference(sat_conversion,[],[f1212]) ).

cnf(s208,plain,
    ( ~ spl0_5
    | spl0_206 ),
    inference(sat_conversion,[],[f1216]) ).

cnf(s214,plain,
    ( ~ spl0_27
    | ~ spl0_210 ),
    inference(sat_conversion,[],[f1236]) ).

cnf(s215,plain,
    ( ~ spl0_27
    | ~ spl0_211 ),
    inference(sat_conversion,[],[f1240]) ).

cnf(s216,plain,
    ( ~ spl0_27
    | ~ spl0_212 ),
    inference(sat_conversion,[],[f1244]) ).

cnf(s218,plain,
    ( ~ spl0_30
    | ~ spl0_213 ),
    inference(sat_conversion,[],[f1250]) ).

cnf(s219,plain,
    ( ~ spl0_30
    | spl0_214 ),
    inference(sat_conversion,[],[f1254]) ).

cnf(s220,plain,
    ( ~ spl0_30
    | ~ spl0_215 ),
    inference(sat_conversion,[],[f1258]) ).

cnf(s222,plain,
    ( ~ spl0_32
    | ~ spl0_216 ),
    inference(sat_conversion,[],[f1264]) ).

cnf(s223,plain,
    ( ~ spl0_32
    | spl0_217 ),
    inference(sat_conversion,[],[f1268]) ).

cnf(s224,plain,
    ( ~ spl0_32
    | spl0_218 ),
    inference(sat_conversion,[],[f1272]) ).

cnf(s226,plain,
    ( ~ spl0_39
    | ~ spl0_219 ),
    inference(sat_conversion,[],[f1278]) ).

cnf(s227,plain,
    ( ~ spl0_39
    | spl0_220 ),
    inference(sat_conversion,[],[f1282]) ).

cnf(s228,plain,
    ( ~ spl0_39
    | spl0_221 ),
    inference(sat_conversion,[],[f1286]) ).

cnf(s230,plain,
    ( ~ spl0_40
    | ~ spl0_222 ),
    inference(sat_conversion,[],[f1292]) ).

cnf(s231,plain,
    ( ~ spl0_40
    | ~ spl0_223 ),
    inference(sat_conversion,[],[f1296]) ).

cnf(s232,plain,
    ( ~ spl0_40
    | ~ spl0_224 ),
    inference(sat_conversion,[],[f1300]) ).

cnf(s234,plain,
    ( ~ spl0_42
    | ~ spl0_225 ),
    inference(sat_conversion,[],[f1306]) ).

cnf(s235,plain,
    ( ~ spl0_42
    | ~ spl0_226 ),
    inference(sat_conversion,[],[f1310]) ).

cnf(s236,plain,
    ( ~ spl0_42
    | ~ spl0_227 ),
    inference(sat_conversion,[],[f1314]) ).

cnf(s238,plain,
    ( ~ spl0_44
    | ~ spl0_228 ),
    inference(sat_conversion,[],[f1320]) ).

cnf(s239,plain,
    ( ~ spl0_44
    | ~ spl0_229 ),
    inference(sat_conversion,[],[f1324]) ).

cnf(s240,plain,
    ( ~ spl0_44
    | spl0_230 ),
    inference(sat_conversion,[],[f1328]) ).

cnf(s254,plain,
    ( ~ spl0_68
    | ~ spl0_240 ),
    inference(sat_conversion,[],[f1376]) ).

cnf(s255,plain,
    ( ~ spl0_68
    | spl0_241 ),
    inference(sat_conversion,[],[f1380]) ).

cnf(s256,plain,
    ( ~ spl0_68
    | spl0_242 ),
    inference(sat_conversion,[],[f1384]) ).

cnf(s258,plain,
    ( ~ spl0_23
    | ~ spl0_243 ),
    inference(sat_conversion,[],[f1390]) ).

cnf(s259,plain,
    ( ~ spl0_23
    | ~ spl0_244 ),
    inference(sat_conversion,[],[f1394]) ).

cnf(s260,plain,
    ( ~ spl0_23
    | ~ spl0_245 ),
    inference(sat_conversion,[],[f1398]) ).

cnf(s266,plain,
    ( ~ spl0_59
    | ~ spl0_249 ),
    inference(sat_conversion,[],[f1418]) ).

cnf(s267,plain,
    ( ~ spl0_59
    | spl0_250 ),
    inference(sat_conversion,[],[f1422]) ).

cnf(s268,plain,
    ( ~ spl0_59
    | ~ spl0_251 ),
    inference(sat_conversion,[],[f1426]) ).

cnf(s274,plain,
    ( ~ spl0_69
    | ~ spl0_255 ),
    inference(sat_conversion,[],[f1446]) ).

cnf(s275,plain,
    ( ~ spl0_69
    | ~ spl0_256 ),
    inference(sat_conversion,[],[f1450]) ).

cnf(s276,plain,
    ( ~ spl0_69
    | spl0_257 ),
    inference(sat_conversion,[],[f1454]) ).

cnf(s282,plain,
    ( ~ spl0_86
    | ~ spl0_261 ),
    inference(sat_conversion,[],[f1474]) ).

cnf(s283,plain,
    ( ~ spl0_86
    | ~ spl0_262 ),
    inference(sat_conversion,[],[f1478]) ).

cnf(s284,plain,
    ( ~ spl0_86
    | spl0_263 ),
    inference(sat_conversion,[],[f1482]) ).

cnf(s290,plain,
    ( ~ spl0_87
    | ~ spl0_267 ),
    inference(sat_conversion,[],[f1502]) ).

cnf(s291,plain,
    ( ~ spl0_87
    | ~ spl0_268 ),
    inference(sat_conversion,[],[f1506]) ).

cnf(s292,plain,
    ( ~ spl0_87
    | ~ spl0_269 ),
    inference(sat_conversion,[],[f1510]) ).

cnf(s320,plain,
    ( ~ spl0_10
    | ~ spl0_99
    | ~ spl0_100
    | spl0_289 ),
    inference(sat_conversion,[],[f1610]) ).

cnf(s324,plain,
    ( ~ spl0_8
    | ~ spl0_16
    | spl0_28 ),
    inference(sat_conversion,[],[f1634]) ).

cnf(s328,plain,
    ( ~ spl0_19
    | ~ spl0_156
    | ~ spl0_157
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f1660]) ).

cnf(s331,plain,
    ( ~ spl0_20
    | ~ spl0_174
    | ~ spl0_175
    | ~ spl0_290 ),
    inference(sat_conversion,[],[f1675]) ).

cnf(s337,plain,
    ( ~ spl0_26
    | ~ spl0_99
    | ~ spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f1708]) ).

cnf(s351,plain,
    ( ~ spl0_37
    | ~ spl0_174
    | spl0_176
    | ~ spl0_290 ),
    inference(sat_conversion,[],[f1775]) ).

cnf(s352,plain,
    ( ~ spl0_37
    | ~ spl0_186
    | spl0_187
    | ~ spl0_188 ),
    inference(sat_conversion,[],[f1777]) ).

cnf(s353,plain,
    ( ~ spl0_38
    | ~ spl0_174
    | ~ spl0_175
    | spl0_290 ),
    inference(sat_conversion,[],[f1789]) ).

cnf(s363,plain,
    ( ~ spl0_26
    | ~ spl0_120
    | ~ spl0_122
    | ~ spl0_301 ),
    inference(sat_conversion,[],[f1814]) ).

cnf(s366,plain,
    ( ~ spl0_20
    | ~ spl0_241
    | ~ spl0_242
    | ~ spl0_302 ),
    inference(sat_conversion,[],[f1832]) ).

cnf(s376,plain,
    ( ~ spl0_37
    | spl0_240
    | ~ spl0_241
    | ~ spl0_242 ),
    inference(sat_conversion,[],[f1899]) ).

cnf(s389,plain,
    ( ~ spl0_13
    | ~ spl0_175
    | spl0_176
    | spl0_290 ),
    inference(sat_conversion,[],[f1947]) ).

cnf(s407,plain,
    ( ~ spl0_18
    | ~ spl0_96
    | ~ spl0_97
    | spl0_98 ),
    inference(sat_conversion,[],[f2004]) ).

cnf(s416,plain,
    ( ~ spl0_37
    | spl0_219
    | ~ spl0_220
    | ~ spl0_221 ),
    inference(sat_conversion,[],[f2026]) ).

cnf(s434,plain,
    ( ~ spl0_10
    | ~ spl0_177
    | spl0_178
    | ~ spl0_179 ),
    inference(sat_conversion,[],[f2070]) ).

cnf(s466,plain,
    ( ~ spl0_15
    | ~ spl0_220
    | ~ spl0_221
    | spl0_309 ),
    inference(sat_conversion,[],[f2129]) ).

cnf(s467,plain,
    ( ~ spl0_15
    | ~ spl0_22
    | spl0_56 ),
    inference(sat_conversion,[],[f2130]) ).

cnf(s481,plain,
    ( ~ spl0_31
    | ~ spl0_37
    | spl0_56 ),
    inference(sat_conversion,[],[f2192]) ).

cnf(s482,plain,
    ( ~ spl0_15
    | ~ spl0_31
    | spl0_56 ),
    inference(sat_conversion,[],[f2193]) ).

cnf(s536,plain,
    ( ~ spl0_16
    | spl0_216
    | ~ spl0_217
    | spl0_311 ),
    inference(sat_conversion,[],[f2313]) ).

cnf(s541,plain,
    ( ~ spl0_13
    | spl0_184
    | spl0_185
    | ~ spl0_310 ),
    inference(sat_conversion,[],[f2338]) ).

cnf(s584,plain,
    ( ~ spl0_19
    | ~ spl0_99
    | ~ spl0_101
    | ~ spl0_289 ),
    inference(sat_conversion,[],[f2421]) ).

cnf(s586,plain,
    ( ~ spl0_43
    | spl0_261
    | spl0_262
    | ~ spl0_263 ),
    inference(sat_conversion,[],[f2423]) ).

cnf(s596,plain,
    ( ~ spl0_10
    | ~ spl0_96
    | ~ spl0_97
    | spl0_306 ),
    inference(sat_conversion,[],[f2449]) ).

cnf(s599,plain,
    ( ~ spl0_10
    | spl0_204
    | ~ spl0_205
    | ~ spl0_206 ),
    inference(sat_conversion,[],[f2454]) ).

cnf(s603,plain,
    ( ~ spl0_19
    | ~ spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f2481]) ).

cnf(s604,plain,
    ( ~ spl0_19
    | ~ spl0_145
    | ~ spl0_146
    | ~ spl0_314 ),
    inference(sat_conversion,[],[f2482]) ).

cnf(s654,plain,
    ( ~ spl0_20
    | ~ spl0_114
    | ~ spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f2555]) ).

cnf(s655,plain,
    ( ~ spl0_20
    | ~ spl0_123
    | ~ spl0_124
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f2558]) ).

cnf(s656,plain,
    ( ~ spl0_20
    | ~ spl0_141
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f2561]) ).

cnf(s658,plain,
    ( ~ spl0_20
    | ~ spl0_186
    | ~ spl0_188
    | ~ spl0_294 ),
    inference(sat_conversion,[],[f2563]) ).

cnf(s660,plain,
    ( ~ spl0_20
    | ~ spl0_220
    | ~ spl0_221
    | ~ spl0_309 ),
    inference(sat_conversion,[],[f2565]) ).

cnf(s664,plain,
    ( ~ spl0_22
    | spl0_118
    | spl0_119
    | ~ spl0_296 ),
    inference(sat_conversion,[],[f2581]) ).

cnf(s668,plain,
    ( ~ spl0_22
    | spl0_261
    | spl0_262
    | ~ spl0_304 ),
    inference(sat_conversion,[],[f2586]) ).

cnf(s674,plain,
    ( ~ spl0_26
    | ~ spl0_171
    | ~ spl0_172
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f2608]) ).

cnf(s676,plain,
    ( ~ spl0_28
    | ~ spl0_97
    | spl0_98
    | spl0_306 ),
    inference(sat_conversion,[],[f2624]) ).

cnf(s680,plain,
    ( ~ spl0_28
    | spl0_216
    | ~ spl0_218
    | spl0_311 ),
    inference(sat_conversion,[],[f2628]) ).

cnf(s682,plain,
    ( ~ spl0_38
    | ~ spl0_96
    | spl0_98
    | ~ spl0_306 ),
    inference(sat_conversion,[],[f2643]) ).

cnf(s686,plain,
    ( ~ spl0_38
    | spl0_216
    | ~ spl0_217
    | ~ spl0_311 ),
    inference(sat_conversion,[],[f2648]) ).

cnf(s705,plain,
    ( ~ spl0_55
    | spl0_118
    | spl0_119
    | spl0_296 ),
    inference(sat_conversion,[],[f2712]) ).

cnf(s707,plain,
    ( ~ spl0_55
    | spl0_210
    | spl0_212
    | spl0_315 ),
    inference(sat_conversion,[],[f2714]) ).

cnf(s710,plain,
    ( ~ spl0_55
    | spl0_261
    | spl0_262
    | spl0_304 ),
    inference(sat_conversion,[],[f2717]) ).

cnf(s711,plain,
    ( spl0_13
    | ~ spl0_38
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f2718]) ).

cnf(s717,plain,
    ( ~ spl0_56
    | ~ spl0_186
    | spl0_187
    | spl0_294 ),
    inference(sat_conversion,[],[f2750]) ).

cnf(s719,plain,
    ( ~ spl0_56
    | spl0_201
    | ~ spl0_202
    | spl0_203 ),
    inference(sat_conversion,[],[f2754]) ).

cnf(s720,plain,
    ( ~ spl0_56
    | spl0_219
    | ~ spl0_221
    | spl0_309 ),
    inference(sat_conversion,[],[f2755]) ).

cnf(s721,plain,
    ( ~ spl0_56
    | spl0_240
    | ~ spl0_241
    | spl0_302 ),
    inference(sat_conversion,[],[f2756]) ).

cnf(s735,plain,
    ( ~ spl0_58
    | ~ spl0_145
    | ~ spl0_146
    | spl0_314 ),
    inference(sat_conversion,[],[f2800]) ).

cnf(s736,plain,
    ( ~ spl0_58
    | ~ spl0_189
    | ~ spl0_190
    | spl0_191 ),
    inference(sat_conversion,[],[f2802]) ).

cnf(s762,plain,
    ( ~ spl0_28
    | spl0_255
    | spl0_256
    | ~ spl0_257 ),
    inference(sat_conversion,[],[f2888]) ).

cnf(s772,plain,
    ( ~ spl0_16
    | spl0_21
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f2898]) ).

cnf(s784,plain,
    ( ~ spl0_52
    | ~ spl0_183
    | spl0_184
    | ~ spl0_310 ),
    inference(sat_conversion,[],[f2916]) ).

cnf(s785,plain,
    ( ~ spl0_38
    | ~ spl0_183
    | spl0_185
    | ~ spl0_310 ),
    inference(sat_conversion,[],[f2917]) ).

cnf(s832,plain,
    ( ~ spl0_63
    | spl0_222
    | spl0_223
    | spl0_224 ),
    inference(sat_conversion,[],[f2957]) ).

cnf(s838,plain,
    ( ~ spl0_8
    | spl0_210
    | spl0_212
    | ~ spl0_315 ),
    inference(sat_conversion,[],[f2987]) ).

cnf(s845,plain,
    ( ~ spl0_13
    | ~ spl0_117
    | spl0_118
    | spl0_296 ),
    inference(sat_conversion,[],[f3011]) ).

cnf(s846,plain,
    ( ~ spl0_13
    | ~ spl0_147
    | spl0_148
    | spl0_149 ),
    inference(sat_conversion,[],[f3012]) ).

cnf(s849,plain,
    ( ~ spl0_13
    | spl0_213
    | ~ spl0_214
    | spl0_215 ),
    inference(sat_conversion,[],[f3015]) ).

cnf(s852,plain,
    ( ~ spl0_28
    | spl0_121
    | ~ spl0_122
    | spl0_301 ),
    inference(sat_conversion,[],[f3042]) ).

cnf(s853,plain,
    ( ~ spl0_28
    | ~ spl0_138
    | spl0_139
    | spl0_140 ),
    inference(sat_conversion,[],[f3043]) ).

cnf(s855,plain,
    ( ~ spl0_28
    | spl0_228
    | spl0_229
    | ~ spl0_230 ),
    inference(sat_conversion,[],[f3045]) ).

cnf(s865,plain,
    ( ~ spl0_26
    | spl0_58
    | ~ spl0_67 ),
    inference(sat_conversion,[],[f3103]) ).

cnf(s870,plain,
    ( ~ spl0_58
    | spl0_121
    | ~ spl0_122
    | ~ spl0_301 ),
    inference(sat_conversion,[],[f3108]) ).

cnf(s872,plain,
    ( ~ spl0_63
    | spl0_267
    | spl0_268
    | spl0_269 ),
    inference(sat_conversion,[],[f3118]) ).

cnf(s874,plain,
    ( spl0_19
    | ~ spl0_20
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f3120]) ).

cnf(s898,plain,
    ( ~ spl0_43
    | ~ spl0_117
    | spl0_118
    | spl0_119 ),
    inference(sat_conversion,[],[f3141]) ).

cnf(s934,plain,
    ( ~ spl0_20
    | ~ spl0_100
    | ~ spl0_101
    | ~ spl0_289 ),
    inference(sat_conversion,[],[f3180]) ).

cnf(s964,plain,
    ( ~ spl0_21
    | spl0_184
    | spl0_185
    | spl0_310 ),
    inference(sat_conversion,[],[f3273]) ).

cnf(s965,plain,
    ( ~ spl0_21
    | spl0_225
    | spl0_226
    | spl0_227 ),
    inference(sat_conversion,[],[f3274]) ).

cnf(s966,plain,
    ( ~ spl0_21
    | spl0_243
    | spl0_244
    | spl0_245 ),
    inference(sat_conversion,[],[f3275]) ).

cnf(s969,plain,
    ( ~ spl0_31
    | spl0_211
    | spl0_212
    | spl0_315 ),
    inference(sat_conversion,[],[f3292]) ).

cnf(s975,plain,
    ( ~ spl0_43
    | spl0_249
    | ~ spl0_250
    | spl0_251 ),
    inference(sat_conversion,[],[f3326]) ).

cnf(s978,plain,
    ( ~ spl0_24
    | ~ spl0_20 ),
    inference(rat,[],[s656,s122,s123,s124]) ).

cnf(s979,plain,
    ( ~ spl0_50
    | ~ spl0_20 ),
    inference(rat,[],[s655,s98,s99,s100]) ).

cnf(s981,plain,
    ( ~ spl0_86
    | ~ spl0_43 ),
    inference(rat,[],[s586,s282,s283,s284]) ).

cnf(s982,plain,
    ( spl0_19
    | ~ spl0_3 ),
    inference(rat,[],[s975,s266,s267,s268,s45,s353,s331,s166,s167,s50,s981,s23,s320,s874,s934,s8,s69,s337,s66,s67,s68]) ).

cnf(s983,plain,
    ( ~ spl0_36
    | ~ spl0_20 ),
    inference(rat,[],[s654,s86,s87,s88]) ).

cnf(s984,plain,
    ( ~ spl0_86
    | ~ spl0_38
    | spl0_56
    | spl0_210
    | spl0_212
    | ~ spl0_9 ),
    inference(rat,[],[s541,s964,s9,s179,s180,s482,s53,s30,s838,s668,s711,s707,s710,s27,s981,s282,s283]) ).

cnf(s985,plain,
    ( spl0_28
    | ~ spl0_20
    | ~ spl0_3 ),
    inference(rat,[],[s353,s331,s166,s167,s50,s984,s17,s717,s352,s658,s182,s183,s184,s214,s216,s54,s12,s69,s337,s320,s584,s982,s68,s67,s66,s983]) ).

cnf(s986,plain,
    ( ~ spl0_69
    | ~ spl0_28 ),
    inference(rat,[],[s762,s274,s275,s276]) ).

cnf(s987,plain,
    ( ~ spl0_6
    | ~ spl0_19 ),
    inference(rat,[],[s142,s328,s143,s144]) ).

cnf(s988,plain,
    ( ~ spl0_20
    | ~ spl0_3 ),
    inference(rat,[],[s735,s604,s36,s127,s128,s986,s24,s985,s979,s69,s337,s66,s67,s68,s987,s982]) ).

cnf(s990,plain,
    ( ~ spl0_51
    | ~ spl0_19 ),
    inference(rat,[],[s603,s102,s103,s104]) ).

cnf(s991,plain,
    ( ~ spl0_32
    | ~ spl0_38
    | ~ spl0_28 ),
    inference(rat,[],[s686,s680,s222,s223,s224]) ).

cnf(s992,plain,
    ( ~ spl0_33
    | ~ spl0_37 ),
    inference(rat,[],[s352,s182,s183,s184]) ).

cnf(s994,plain,
    ( ~ spl0_68
    | ~ spl0_37 ),
    inference(rat,[],[s376,s254,s255,s256]) ).

cnf(s995,plain,
    ( ~ spl0_23
    | ~ spl0_21 ),
    inference(rat,[],[s966,s258,s259,s260]) ).

cnf(s996,plain,
    ( ~ spl0_41
    | ~ spl0_3 ),
    inference(rat,[],[s852,s870,s95,s96,s36,s986,s54,s992,s25,s990,s988,s337,s66,s67,s68,s69,s987,s982]) ).

cnf(s997,plain,
    ( ~ spl0_40
    | ~ spl0_63 ),
    inference(rat,[],[s832,s230,s231,s232]) ).

cnf(s998,plain,
    ( ~ spl0_30
    | ~ spl0_13 ),
    inference(rat,[],[s849,s218,s219,s220]) ).

cnf(s1004,plain,
    ( ~ spl0_44
    | ~ spl0_28 ),
    inference(rat,[],[s855,s238,s239,s240]) ).

cnf(s1005,plain,
    ( ~ spl0_42
    | ~ spl0_21 ),
    inference(rat,[],[s965,s234,s235,s236]) ).

cnf(s1006,plain,
    ~ spl0_3,
    inference(rat,[],[s351,s389,s166,s167,s168,s50,s981,s21,s1005,s1004,s772,s14,s998,s20,s997,s996,s35,s994,s48,s986,s54,s992,s25,s990,s988,s320,s584,s982,s337,s66,s67,s68,s69]) ).

cnf(s1007,plain,
    ( ~ spl0_64
    | ~ spl0_28 ),
    inference(rat,[],[s853,s118,s119,s120]) ).

cnf(s1008,plain,
    ( spl0_20
    | spl0_21
    | ~ spl0_28
    | ~ spl0_9 ),
    inference(rat,[],[s32,s772,s991,s35,s15,s994,s992,s25,s990,s8,s1007]) ).

cnf(s1009,plain,
    ( ~ spl0_68
    | ~ spl0_56
    | ~ spl0_20 ),
    inference(rat,[],[s721,s366,s254,s255,s256]) ).

cnf(s1010,plain,
    ( ~ spl0_31
    | ~ spl0_15
    | ~ spl0_20
    | spl0_21
    | ~ spl0_9 ),
    inference(rat,[],[s717,s658,s182,s183,s184,s35,s1009,s772,s482]) ).

cnf(s1013,plain,
    ( ~ spl0_217
    | spl0_216
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(rat,[],[s686,s536]) ).

cnf(s1014,plain,
    ( ~ spl0_5
    | ~ spl0_10 ),
    inference(rat,[],[s599,s206,s207,s208]) ).

cnf(s1015,plain,
    ( ~ spl0_4
    | ~ spl0_56 ),
    inference(rat,[],[s719,s202,s203,s204]) ).

cnf(s1024,plain,
    ( ~ spl0_72
    | ~ spl0_26 ),
    inference(rat,[],[s674,s162,s163,s164]) ).

cnf(s1026,plain,
    ( ~ spl0_88
    | ~ spl0_58 ),
    inference(rat,[],[s736,s186,s187,s188]) ).

cnf(s1027,plain,
    ( ~ spl0_87
    | ~ spl0_63 ),
    inference(rat,[],[s872,s290,s291,s292]) ).

cnf(s1028,plain,
    ( ~ spl0_13
    | ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s434,s170,s171,s172,s34,s865,s1026,s55,s23,s874,s987,s2,s1015,s1014,s14,s30,s1010,s9,s664,s845,s998,s978,s1008,s1005,s21,s1004,s898,s90,s91,s92,s1027,s48,s986,s93]) ).

cnf(s1029,plain,
    ( ~ spl0_28
    | ~ spl0_2 ),
    inference(rat,[],[s987,s874,s36,s23,s870,s363,s852,s94,s95,s96,s20,s1028,s1008,s1005,s997,s21,s48,s1004,s986,s93,s898,s90,s91,s92]) ).

cnf(s1030,plain,
    ( ~ spl0_56
    | spl0_16
    | ~ spl0_20
    | ~ spl0_9 ),
    inference(rat,[],[s717,s658,s182,s183,s184,s35,s1009]) ).

cnf(s1031,plain,
    ( ~ spl0_15
    | spl0_21
    | ~ spl0_20
    | ~ spl0_2 ),
    inference(rat,[],[s467,s30,s1030,s324,s18,s1010,s93,s1029]) ).

cnf(s1032,plain,
    ( spl0_21
    | ~ spl0_20
    | ~ spl0_2 ),
    inference(rat,[],[s18,s772,s324,s1030,s27,s705,s664,s9,s1031,s93,s898,s90,s91,s92,s1029]) ).

cnf(s1035,plain,
    ( ~ spl0_53
    | ~ spl0_20
    | ~ spl0_2 ),
    inference(rat,[],[s54,s1024,s992,s47,s17,s785,s784,s964,s178,s179,s180,s93,s1029,s983,s1032]) ).

cnf(s1036,plain,
    ( ~ spl0_73
    | ~ spl0_13 ),
    inference(rat,[],[s846,s130,s131,s132]) ).

cnf(s1037,plain,
    ( ~ spl0_20
    | ~ spl0_2 ),
    inference(rat,[],[s969,s838,s214,s215,s216,s12,s1024,s38,s1036,s711,s17,s481,s30,s664,s705,s27,s1030,s324,s53,s1035,s995,s1032,s983,s93,s898,s90,s91,s92,s1029]) ).

cnf(s1038,plain,
    ~ spl0_2,
    inference(rat,[],[s784,s964,s772,s178,s179,s180,s47,s18,s53,s1013,s324,s222,s223,s1024,s35,s15,s54,s994,s992,s25,s990,s8,s1037,s1029,s898,s90,s91,s92,s93]) ).

cnf(s1039,plain,
    spl0_1,
    inference(rat,[],[s1,s1006,s1038]) ).

cnf(s1040,plain,
    spl0_9,
    inference(rat,[],[s65,s1039]) ).

cnf(s1041,plain,
    ~ spl0_98,
    inference(rat,[],[s64,s1039]) ).

cnf(s1042,plain,
    spl0_97,
    inference(rat,[],[s63,s1039]) ).

cnf(s1043,plain,
    spl0_96,
    inference(rat,[],[s62,s1039]) ).

cnf(s1044,plain,
    ~ spl0_18,
    inference(rat,[],[s407,s1041,s1042,s1043]) ).

cnf(s1045,plain,
    spl0_39,
    inference(rat,[],[s19,s1038,s1040,s1044]) ).

cnf(s1046,plain,
    spl0_221,
    inference(rat,[],[s228,s1045]) ).

cnf(s1047,plain,
    spl0_220,
    inference(rat,[],[s227,s1045]) ).

cnf(s1048,plain,
    ~ spl0_219,
    inference(rat,[],[s226,s1045]) ).

cnf(s1049,plain,
    ~ spl0_37,
    inference(rat,[],[s416,s1046,s1047,s1048]) ).

cnf(s1050,plain,
    ( ~ spl0_85
    | ~ spl0_20 ),
    inference(rat,[],[s353,s331,s166,s167,s17,s983,s1049,s1040]) ).

cnf(s1051,plain,
    ~ spl0_20,
    inference(rat,[],[s984,s214,s216,s12,s1024,s38,s995,s9,s1036,s668,s711,s710,s27,s981,s282,s283,s50,s1050,s596,s676,s682,s720,s466,s17,s660,s983,s1040,s1042,s1043,s1041,s1046,s1048,s1047,s1049]) ).

cnf(s1052,plain,
    spl0_19,
    inference(rat,[],[s8,s1040,s1051]) ).

cnf(s1053,plain,
    spl0_51,
    inference(rat,[],[s25,s1049,s1040,s1051]) ).

cnf(s1055,plain,
    $false,
    inference(rat,[],[s990,s1052,s1053]) ).

fof(f3327,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1055]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN447+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.17  % Computer : n019.cluster.edu
% 0.12/0.17  % Model    : x86_64 x86_64
% 0.12/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.17  % Memory   : 8046.5625MB
% 0.12/0.17  % OS       : Linux 6.8.0-71-generic
% 0.12/0.17  % CPULimit : 300
% 0.12/0.17  % WCLimit  : 300
% 0.12/0.17  % DateTime : Mon Sep 28 16:04:07 UTC 2026
% 0.12/0.17  % CPUTime  : 
% 0.12/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.21  Running first-order theorem proving
% 0.12/0.21  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.28/1.14  % (4122767)Detected formulas, will run a generic FOF schedule.
% 3.28/1.14  % (4122776)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=858551507:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.28/1.14  % (4122777)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2219563939:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.28/1.14  % (4122773)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=132428252:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.28/1.14  % (4122772)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3722476745:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.28/1.14  % (4122774)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1863073652:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.28/1.14  % (4122778)dis-21_1_sil=8000:lcm=predicate:random_seed=1819528202:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.28/1.14  % (4122775)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2801356436:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.28/1.14  % (4122776)Instruction limit reached! 
% 3.28/1.14  % (4122776)------------------------------
% 3.28/1.14  % (4122776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.14  % (4122776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.14  % (4122776)CaDiCaL version: 2.1.3
% 3.28/1.14  % (4122776)Termination reason: Instruction limit
% 3.28/1.14  % (4122776)Termination phase: Saturation
% 3.28/1.14  % (4122776)Time elapsed: 0.030 s
% 3.28/1.14  % (4122776)Peak memory usage: 88 MB
% 3.28/1.14  % (4122776)Instructions burned: 119 (million)
% 3.28/1.14  % (4122778)First to succeed.
% 3.28/1.14  % (4122778)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4122767"
% 3.28/1.14  % (4122775)Instruction limit reached! 
% 3.28/1.14  % (4122775)------------------------------
% 3.28/1.14  % (4122775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.14  % (4122775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.14  % (4122775)CaDiCaL version: 2.1.3
% 3.28/1.14  % (4122775)Termination reason: Instruction limit
% 3.28/1.14  % (4122775)Termination phase: Saturation
% 3.28/1.14  % (4122775)Time elapsed: 0.069 s
% 3.28/1.14  % (4122775)Peak memory usage: 90 MB
% 3.28/1.14  % (4122775)Instructions burned: 110 (million)
% 3.28/1.14  % (4122777)Also succeeded, but the first one will report.
% 3.28/1.14  % (4122786)lrs+10_1_sil=8000:sp=occurrence:random_seed=191819746:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.28/1.14  % (4122786)Also succeeded, but the first one will report.
% 3.28/1.14  % (4122787)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2525533247:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.28/1.14  % (4122778)Refutation found. Thanks to Tanya!
% 3.28/1.14  % SZS status Theorem for theBenchmark
% 3.28/1.14  % SZS output start Proof for theBenchmark
% See solution above
% 4.04/1.34  % (4122778)------------------------------
% 4.04/1.34  % (4122778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.34  % (4122778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.34  % (4122778)CaDiCaL version: 2.1.3
% 4.04/1.34  % (4122778)Termination reason: Refutation
% 4.04/1.34  % (4122778)Time elapsed: 0.052 s
% 4.04/1.34  % (4122778)Peak memory usage: 91 MB
% 4.04/1.34  % (4122778)Instructions burned: 86 (million)
% 4.04/1.34  % (4122778)------------------------------
% 4.04/1.34  % (4122778)------------------------------
% 4.04/1.34  % (4122767)Success in time 0.486 s
% 4.04/1.34  % Vampire exiting
%------------------------------------------------------------------------------