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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---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 SAT

% Computer : n014.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 02:08:36 PM UTC 2026

% Result   : Theorem 0.19s 0.32s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :  152
% Syntax   : Number of formulae    :  947 (   7 unt; 151 def)
%            Number of atoms       : 6897 (   0 equ)
%            Maximal formula atoms :  778 (   7 avg)
%            Number of connectives : 9067 (3117   ~;3945   |;1575   &)
%                                         ( 151 <=>; 279  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  130 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  221 ( 220 usr; 217 prp; 0-1 aty)
%            Number of functors    :   64 (  64 usr;  64 con; 0-0 aty)
%            Number of variables   :  650 (   0 sgn 650   !;   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(f9,plain,
    ! [X90] :
      ( ~ c0_1(X90)
      | c1_1(X90)
      | c2_1(X90)
      | ~ ndr1_0
      | hskp60
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ! [X88,X89] :
      ( ~ c2_1(X88)
      | ~ c3_1(X88)
      | c0_1(X88)
      | ~ ndr1_0
      | c2_1(X89)
      | c3_1(X89)
      | ~ c1_1(X89)
      | ~ ndr1_0
      | hskp35 ),
    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(f20,plain,
    ! [X68,X69] :
      ( c2_1(X68)
      | ~ c1_1(X68)
      | ~ c3_1(X68)
      | ~ ndr1_0
      | ~ c3_1(X69)
      | c1_1(X69)
      | c2_1(X69)
      | ~ ndr1_0
      | hskp58 ),
    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(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(f26,plain,
    ( hskp39
    | hskp17
    | hskp18 ),
    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(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(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(f43,plain,
    ! [X34] :
      ( c1_1(X34)
      | c3_1(X34)
      | c2_1(X34)
      | ~ ndr1_0
      | hskp44
      | hskp45 ),
    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(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(f79,plain,
    ( ~ hskp60
    | ~ c0_1(a1097) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp60
    | c2_1(a1097) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp58
    | c3_1(a1086) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp58
    | c2_1(a1086) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp58
    | ~ c0_1(a1086) ),
    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(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(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(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(f138,plain,
    ( ~ hskp45
    | c2_1(a1052) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp45
    | c3_1(a1052) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp45
    | c0_1(a1052) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp44
    | ~ c2_1(a1051) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp44
    | c1_1(a1051) ),
    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(f165,plain,
    ( ~ hskp39
    | ndr1_0 ),
    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(f178,plain,
    ( ~ hskp35
    | c3_1(a1033) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ hskp35
    | c1_1(a1033) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ~ hskp35
    | c0_1(a1033) ),
    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(f214,plain,
    ( ~ hskp26
    | ~ c0_1(a1098) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f215,plain,
    ( ~ hskp26
    | c1_1(a1098) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f216,plain,
    ( ~ hskp26
    | ~ c3_1(a1098) ),
    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(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(f249,plain,
    ( ~ hskp18
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f253,plain,
    ( ~ hskp17
    | ndr1_0 ),
    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(f349,plain,
    ( hskp8
    | c0_1(a1036) ),
    inference(consistent_polarity_flipping,[],[f288]) ).

fof(f350,plain,
    ( hskp8
    | ~ c3_1(a1036) ),
    inference(consistent_polarity_flipping,[],[f287]) ).

fof(f351,plain,
    ( hskp8
    | c1_1(a1036) ),
    inference(consistent_polarity_flipping,[],[f286]) ).

fof(f356,plain,
    ( ~ hskp10
    | ~ c1_1(a1039) ),
    inference(consistent_polarity_flipping,[],[f280]) ).

fof(f357,plain,
    ( ~ hskp10
    | c2_1(a1039) ),
    inference(consistent_polarity_flipping,[],[f279]) ).

fof(f362,plain,
    ( hskp12
    | c1_1(a1043) ),
    inference(consistent_polarity_flipping,[],[f272]) ).

fof(f363,plain,
    ( hskp12
    | c0_1(a1043) ),
    inference(consistent_polarity_flipping,[],[f271]) ).

fof(f364,plain,
    ( hskp12
    | ~ c3_1(a1043) ),
    inference(consistent_polarity_flipping,[],[f270]) ).

fof(f368,plain,
    ( ~ hskp14
    | c1_1(a1055) ),
    inference(consistent_polarity_flipping,[],[f263]) ).

fof(f369,plain,
    ( ~ hskp14
    | c2_1(a1055) ),
    inference(consistent_polarity_flipping,[],[f262]) ).

fof(f371,plain,
    ( hskp15
    | c3_1(a1059) ),
    inference(consistent_polarity_flipping,[],[f260]) ).

fof(f372,plain,
    ( hskp15
    | ~ c2_1(a1059) ),
    inference(consistent_polarity_flipping,[],[f259]) ).

fof(f373,plain,
    ( hskp15
    | c1_1(a1059) ),
    inference(consistent_polarity_flipping,[],[f258]) ).

fof(f378,plain,
    ( ~ hskp17
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f253]) ).

fof(f380,plain,
    ( ~ hskp18
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f249]) ).

fof(f391,plain,
    ( hskp21
    | ~ c3_1(a1082) ),
    inference(consistent_polarity_flipping,[],[f236]) ).

fof(f392,plain,
    ( hskp21
    | c2_1(a1082) ),
    inference(consistent_polarity_flipping,[],[f235]) ).

fof(f393,plain,
    ( hskp21
    | ~ c0_1(a1082) ),
    inference(consistent_polarity_flipping,[],[f234]) ).

fof(f395,plain,
    ( ~ hskp22
    | ~ c2_1(a1083) ),
    inference(consistent_polarity_flipping,[],[f232]) ).

fof(f396,plain,
    ( ~ hskp22
    | c1_1(a1083) ),
    inference(consistent_polarity_flipping,[],[f230]) ).

fof(f405,plain,
    ( ~ hskp25
    | c2_1(a1091) ),
    inference(consistent_polarity_flipping,[],[f218]) ).

fof(f407,plain,
    ( hskp26
    | ~ c3_1(a1098) ),
    inference(consistent_polarity_flipping,[],[f216]) ).

fof(f408,plain,
    ( hskp26
    | ~ c1_1(a1098) ),
    inference(consistent_polarity_flipping,[],[f215]) ).

fof(f409,plain,
    ( hskp26
    | ~ c0_1(a1098) ),
    inference(consistent_polarity_flipping,[],[f214]) ).

fof(f433,plain,
    ( ~ hskp33
    | c1_1(a1031) ),
    inference(consistent_polarity_flipping,[],[f187]) ).

fof(f434,plain,
    ( ~ hskp33
    | ~ c2_1(a1031) ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f436,plain,
    ( hskp34
    | c2_1(a1032) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

fof(f437,plain,
    ( hskp34
    | c1_1(a1032) ),
    inference(consistent_polarity_flipping,[],[f183]) ).

fof(f438,plain,
    ( hskp34
    | c3_1(a1032) ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f440,plain,
    ( ~ hskp35
    | ~ c1_1(a1033) ),
    inference(consistent_polarity_flipping,[],[f179]) ).

fof(f444,plain,
    ( ~ hskp37
    | c1_1(a1037) ),
    inference(consistent_polarity_flipping,[],[f172]) ).

fof(f446,plain,
    ( ~ hskp38
    | ~ c1_1(a1040) ),
    inference(consistent_polarity_flipping,[],[f168]) ).

fof(f447,plain,
    ( ~ hskp38
    | ~ c2_1(a1040) ),
    inference(consistent_polarity_flipping,[],[f166]) ).

fof(f448,plain,
    ( hskp39
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f165]) ).

fof(f461,plain,
    ( ~ hskp43
    | ~ c2_1(a1049) ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f462,plain,
    ( ~ hskp43
    | ~ c1_1(a1049) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f464,plain,
    ( hskp44
    | ~ c1_1(a1051) ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f465,plain,
    ( hskp44
    | c2_1(a1051) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f468,plain,
    ( hskp45
    | c0_1(a1052) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f469,plain,
    ( hskp45
    | c3_1(a1052) ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f470,plain,
    ( hskp45
    | ~ c2_1(a1052) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f472,plain,
    ( hskp46
    | c1_1(a1053) ),
    inference(consistent_polarity_flipping,[],[f136]) ).

fof(f473,plain,
    ( hskp46
    | c2_1(a1053) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f474,plain,
    ( hskp46
    | c0_1(a1053) ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f484,plain,
    ( hskp49
    | ~ c0_1(a1065) ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f485,plain,
    ( hskp49
    | c2_1(a1065) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f486,plain,
    ( hskp49
    | ~ c1_1(a1065) ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f499,plain,
    ( hskp53
    | ~ c1_1(a1073) ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f500,plain,
    ( hskp53
    | ~ c2_1(a1073) ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f501,plain,
    ( hskp53
    | c0_1(a1073) ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f507,plain,
    ( ~ hskp55
    | ~ c1_1(a1081) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f509,plain,
    ( hskp56
    | ~ c3_1(a1084) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f510,plain,
    ( hskp56
    | c1_1(a1084) ),
    inference(consistent_polarity_flipping,[],[f95]) ).

fof(f511,plain,
    ( hskp56
    | c0_1(a1084) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f513,plain,
    ( ~ hskp57
    | ~ c2_1(a1085) ),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f515,plain,
    ( hskp58
    | ~ c0_1(a1086) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f516,plain,
    ( hskp58
    | ~ c2_1(a1086) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f517,plain,
    ( hskp58
    | c3_1(a1086) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f523,plain,
    ( ~ hskp60
    | ~ c2_1(a1097) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f527,plain,
    ( ~ hskp62
    | ~ c2_1(a1103) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f528,plain,
    ( ~ hskp62
    | ~ c1_1(a1103) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f529,plain,
    ( hskp63
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f530,plain,
    ( hskp63
    | c2_1(a1105) ),
    inference(consistent_polarity_flipping,[],[f68]) ).

fof(f531,plain,
    ( hskp63
    | ~ c1_1(a1105) ),
    inference(consistent_polarity_flipping,[],[f67]) ).

fof(f532,plain,
    ( hskp63
    | c3_1(a1105) ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f540,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(consistent_polarity_flipping,[],[f58]) ).

fof(f541,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(consistent_polarity_flipping,[],[f57]) ).

fof(f544,plain,
    ! [X17] :
      ( ~ c3_1(X17)
      | c1_1(X17)
      | c0_1(X17)
      | ndr1_0
      | ~ hskp8
      | hskp37 ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f546,plain,
    ! [X20] :
      ( c3_1(X20)
      | ~ c2_1(X20)
      | c0_1(X20)
      | ndr1_0
      | hskp10 ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f547,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(consistent_polarity_flipping,[],[f51]) ).

fof(f549,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(consistent_polarity_flipping,[],[f49]) ).

fof(f555,plain,
    ! [X34] :
      ( ~ c1_1(X34)
      | c3_1(X34)
      | ~ c2_1(X34)
      | ndr1_0
      | ~ hskp44
      | ~ hskp45 ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f556,plain,
    ( ~ hskp46
    | hskp38
    | hskp14 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f558,plain,
    ! [X37] :
      ( hskp10
      | c1_1(X37)
      | c0_1(X37)
      | c2_1(X37)
      | ndr1_0
      | hskp43 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f559,plain,
    ! [X38] :
      ( ~ c3_1(X38)
      | ~ c2_1(X38)
      | c0_1(X38)
      | ndr1_0
      | ~ hskp15
      | hskp33 ),
    inference(consistent_polarity_flipping,[],[f39]) ).

fof(f562,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(consistent_polarity_flipping,[],[f36]) ).

fof(f564,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(consistent_polarity_flipping,[],[f34]) ).

fof(f567,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(consistent_polarity_flipping,[],[f31]) ).

fof(f569,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(consistent_polarity_flipping,[],[f29]) ).

fof(f571,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(consistent_polarity_flipping,[],[f27]) ).

fof(f572,plain,
    ( ~ hskp39
    | hskp17
    | hskp18 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f574,plain,
    ! [X61] :
      ( hskp55
      | ~ c0_1(X61)
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | ndr1_0
      | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f575,plain,
    ! [X62] :
      ( hskp22
      | c1_1(X62)
      | ~ c2_1(X62)
      | ~ c3_1(X62)
      | ndr1_0
      | ~ hskp56 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f577,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(consistent_polarity_flipping,[],[f21]) ).

fof(f578,plain,
    ! [X68,X69] :
      ( ~ c2_1(X68)
      | c1_1(X68)
      | ~ c3_1(X68)
      | ndr1_0
      | ~ c3_1(X69)
      | ~ c1_1(X69)
      | ~ c2_1(X69)
      | ndr1_0
      | ~ hskp58 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f582,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(consistent_polarity_flipping,[],[f16]) ).

fof(f585,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(consistent_polarity_flipping,[],[f13]) ).

fof(f586,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(consistent_polarity_flipping,[],[f12]) ).

fof(f588,plain,
    ! [X88,X89] :
      ( c2_1(X88)
      | ~ c3_1(X88)
      | c0_1(X88)
      | ndr1_0
      | ~ c2_1(X89)
      | c3_1(X89)
      | c1_1(X89)
      | ndr1_0
      | hskp35 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f589,plain,
    ! [X90] :
      ( ~ c0_1(X90)
      | ~ c1_1(X90)
      | ~ c2_1(X90)
      | ndr1_0
      | hskp60
      | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f592,plain,
    ( hskp62
    | ~ hskp56
    | ~ hskp63 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f594,plain,
    ! [X88,X89] :
      ( c2_1(X88)
      | ~ c3_1(X88)
      | c0_1(X88)
      | ndr1_0
      | ~ c2_1(X89)
      | c3_1(X89)
      | c1_1(X89)
      | hskp35 ),
    inference(duplicate_literal_removal,[],[f588]) ).

fof(f596,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,[],[f586]) ).

fof(f597,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,[],[f585]) ).

fof(f599,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,[],[f582]) ).

fof(f602,plain,
    ! [X68,X69] :
      ( ~ c2_1(X68)
      | c1_1(X68)
      | ~ c3_1(X68)
      | ndr1_0
      | ~ c3_1(X69)
      | ~ c1_1(X69)
      | ~ c2_1(X69)
      | ~ hskp58 ),
    inference(duplicate_literal_removal,[],[f578]) ).

fof(f603,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,[],[f577]) ).

fof(f605,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,[],[f571]) ).

fof(f606,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,[],[f569]) ).

fof(f607,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,[],[f567]) ).

fof(f608,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,[],[f564]) ).

fof(f610,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,[],[f562]) ).

fof(f615,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,[],[f549]) ).

fof(f616,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,[],[f547]) ).

fof(f619,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,[],[f541]) ).

fof(f620,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,[],[f540]) ).

fof(f626,definition,
    ( spl0_1
  <=> hskp63 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f630,definition,
    ( spl0_2
  <=> hskp56 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f634,definition,
    ( spl0_3
  <=> hskp62 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f637,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f592,f634,f630,f626]) ).

fof(f647,definition,
    ( spl0_6
  <=> hskp43 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f656,definition,
    ( spl0_8
  <=> ! [X92] :
        ( c1_1(X92)
        | ~ c2_1(X92)
        | c3_1(X92) ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f657,plain,
    ( ! [X92] :
        ( c3_1(X92)
        | ~ c2_1(X92)
        | c1_1(X92) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f659,definition,
    ( spl0_9
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f663,definition,
    ( spl0_10
  <=> ! [X91] :
        ( ~ c3_1(X91)
        | c0_1(X91)
        | c1_1(X91) ) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f664,plain,
    ( ! [X91] :
        ( ~ c3_1(X91)
        | c0_1(X91)
        | c1_1(X91) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f667,definition,
    ( spl0_11
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f671,definition,
    ( spl0_12
  <=> hskp60 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f675,definition,
    ( spl0_13
  <=> ! [X90] :
        ( ~ c0_1(X90)
        | ~ c2_1(X90)
        | ~ c1_1(X90) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f676,plain,
    ( ! [X90] :
        ( ~ c2_1(X90)
        | ~ c0_1(X90)
        | ~ c1_1(X90) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f677,plain,
    ( ~ spl0_11
    | spl0_12
    | spl0_9
    | spl0_13 ),
    inference(avatar_split_clause,[],[f589,f675,f659,f671,f667]) ).

fof(f679,definition,
    ( spl0_14
  <=> hskp35 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f683,definition,
    ( spl0_15
  <=> ! [X88] :
        ( c2_1(X88)
        | c0_1(X88)
        | ~ c3_1(X88) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f684,plain,
    ( ! [X88] :
        ( ~ c3_1(X88)
        | c0_1(X88)
        | c2_1(X88) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f685,plain,
    ( spl0_14
    | spl0_8
    | spl0_9
    | spl0_15 ),
    inference(avatar_split_clause,[],[f594,f683,f659,f656,f679]) ).

fof(f687,definition,
    ( spl0_16
  <=> ! [X87] :
        ( ~ c3_1(X87)
        | ~ c2_1(X87)
        | c0_1(X87) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f688,plain,
    ( ! [X87] :
        ( ~ c3_1(X87)
        | ~ c2_1(X87)
        | c0_1(X87) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f694,definition,
    ( spl0_18
  <=> ! [X86] :
        ( ~ c3_1(X86)
        | c1_1(X86)
        | ~ c2_1(X86) ) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f695,plain,
    ( ! [X86] :
        ( ~ c3_1(X86)
        | c1_1(X86)
        | ~ c2_1(X86) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f698,definition,
    ( spl0_19
  <=> ! [X85] :
        ( ~ c0_1(X85)
        | c2_1(X85)
        | c1_1(X85) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f699,plain,
    ( ! [X85] :
        ( c2_1(X85)
        | ~ c0_1(X85)
        | c1_1(X85) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f701,definition,
    ( spl0_20
  <=> ! [X84] :
        ( c2_1(X84)
        | ~ c3_1(X84)
        | ~ c0_1(X84) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f702,plain,
    ( ! [X84] :
        ( ~ c3_1(X84)
        | c2_1(X84)
        | ~ c0_1(X84) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f703,plain,
    ( spl0_19
    | spl0_20
    | spl0_9
    | spl0_19 ),
    inference(avatar_split_clause,[],[f596,f698,f659,f701,f698]) ).

fof(f705,definition,
    ( spl0_21
  <=> ! [X82] :
        ( c0_1(X82)
        | ~ c2_1(X82)
        | ~ c1_1(X82) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f706,plain,
    ( ! [X82] :
        ( ~ c2_1(X82)
        | c0_1(X82)
        | ~ c1_1(X82) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f708,definition,
    ( spl0_22
  <=> ! [X81] :
        ( c3_1(X81)
        | c2_1(X81)
        | ~ c1_1(X81) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f709,plain,
    ( ! [X81] :
        ( c3_1(X81)
        | c2_1(X81)
        | ~ c1_1(X81) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f708]) ).

fof(f710,plain,
    ( spl0_21
    | spl0_22
    | spl0_9
    | spl0_15 ),
    inference(avatar_split_clause,[],[f597,f683,f659,f708,f705]) ).

fof(f712,definition,
    ( spl0_23
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f726,definition,
    ( spl0_26
  <=> ! [X76] :
        ( c2_1(X76)
        | ~ c3_1(X76)
        | c1_1(X76) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f727,plain,
    ( ! [X76] :
        ( ~ c3_1(X76)
        | c2_1(X76)
        | c1_1(X76) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f729,definition,
    ( spl0_27
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f733,definition,
    ( spl0_28
  <=> ! [X75] :
        ( ~ c2_1(X75)
        | c0_1(X75)
        | c1_1(X75) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f734,plain,
    ( ! [X75] :
        ( ~ c2_1(X75)
        | c0_1(X75)
        | c1_1(X75) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f733]) ).

fof(f735,plain,
    ( spl0_26
    | spl0_27
    | spl0_9
    | spl0_28 ),
    inference(avatar_split_clause,[],[f599,f733,f659,f729,f726]) ).

fof(f746,definition,
    ( spl0_31
  <=> ! [X72] :
        ( ~ c1_1(X72)
        | c3_1(X72)
        | c0_1(X72) ) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f747,plain,
    ( ! [X72] :
        ( c3_1(X72)
        | ~ c1_1(X72)
        | c0_1(X72) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f754,definition,
    ( spl0_33
  <=> hskp33 ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f759,definition,
    ( spl0_34
  <=> hskp58 ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f763,definition,
    ( spl0_35
  <=> ! [X69] :
        ( ~ c3_1(X69)
        | ~ c2_1(X69)
        | ~ c1_1(X69) ) ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f764,plain,
    ( ! [X69] :
        ( ~ c3_1(X69)
        | ~ c2_1(X69)
        | ~ c1_1(X69) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f765,plain,
    ( ~ spl0_34
    | spl0_35
    | spl0_9
    | spl0_18 ),
    inference(avatar_split_clause,[],[f602,f694,f659,f763,f759]) ).

fof(f767,definition,
    ( spl0_36
  <=> hskp57 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f771,definition,
    ( spl0_37
  <=> ! [X67] :
        ( c2_1(X67)
        | ~ c1_1(X67)
        | ~ c3_1(X67) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f772,plain,
    ( ! [X67] :
        ( ~ c3_1(X67)
        | ~ c1_1(X67)
        | c2_1(X67) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f771]) ).

fof(f774,definition,
    ( spl0_38
  <=> ! [X66] :
        ( ~ c0_1(X66)
        | ~ c2_1(X66)
        | ~ c3_1(X66) ) ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f775,plain,
    ( ! [X66] :
        ( ~ c3_1(X66)
        | ~ c2_1(X66)
        | ~ c0_1(X66) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f776,plain,
    ( spl0_36
    | spl0_37
    | spl0_9
    | spl0_38 ),
    inference(avatar_split_clause,[],[f603,f774,f659,f771,f767]) ).

fof(f779,definition,
    ( spl0_39
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f782,plain,
    ( ~ spl0_2
    | spl0_9
    | spl0_18
    | spl0_39 ),
    inference(avatar_split_clause,[],[f575,f779,f694,f659,f630]) ).

fof(f784,definition,
    ( spl0_40
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f788,definition,
    ( spl0_41
  <=> hskp55 ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f791,plain,
    ( ~ spl0_40
    | spl0_9
    | spl0_13
    | spl0_41 ),
    inference(avatar_split_clause,[],[f574,f788,f675,f659,f784]) ).

fof(f797,definition,
    ( spl0_43
  <=> ! [X60] :
        ( ~ c1_1(X60)
        | c3_1(X60)
        | ~ c0_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f798,plain,
    ( ! [X60] :
        ( c3_1(X60)
        | ~ c1_1(X60)
        | ~ c0_1(X60) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f805,definition,
    ( spl0_45
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f809,definition,
    ( spl0_46
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f813,definition,
    ( spl0_47
  <=> hskp39 ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f816,plain,
    ( spl0_45
    | spl0_46
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f572,f813,f809,f805]) ).

fof(f818,definition,
    ( spl0_48
  <=> ! [X59] :
        ( ~ c0_1(X59)
        | c3_1(X59)
        | c1_1(X59) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f819,plain,
    ( ! [X59] :
        ( c3_1(X59)
        | ~ c0_1(X59)
        | c1_1(X59) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f820,plain,
    ( spl0_48
    | spl0_43
    | spl0_9
    | spl0_26 ),
    inference(avatar_split_clause,[],[f605,f726,f659,f797,f818]) ).

fof(f831,definition,
    ( spl0_51
  <=> hskp53 ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f834,plain,
    ( spl0_37
    | ~ spl0_51
    | spl0_9
    | spl0_20 ),
    inference(avatar_split_clause,[],[f606,f701,f659,f831,f771]) ).

fof(f836,definition,
    ( spl0_52
  <=> ! [X53] :
        ( ~ c3_1(X53)
        | ~ c0_1(X53)
        | ~ c1_1(X53) ) ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f837,plain,
    ( ! [X53] :
        ( ~ c3_1(X53)
        | ~ c0_1(X53)
        | ~ c1_1(X53) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f836]) ).

fof(f839,definition,
    ( spl0_53
  <=> hskp34 ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f848,definition,
    ( spl0_55
  <=> ! [X52] :
        ( c3_1(X52)
        | ~ c2_1(X52)
        | ~ c1_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f849,plain,
    ( ! [X52] :
        ( c3_1(X52)
        | ~ c2_1(X52)
        | ~ c1_1(X52) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f851,definition,
    ( spl0_56
  <=> ! [X50] :
        ( c2_1(X50)
        | ~ c1_1(X50)
        | c0_1(X50) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f852,plain,
    ( ! [X50] :
        ( c2_1(X50)
        | ~ c1_1(X50)
        | c0_1(X50) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f851]) ).

fof(f853,plain,
    ( spl0_55
    | spl0_43
    | spl0_9
    | spl0_56 ),
    inference(avatar_split_clause,[],[f607,f851,f659,f797,f848]) ).

fof(f859,definition,
    ( spl0_58
  <=> ! [X49] :
        ( c0_1(X49)
        | c1_1(X49)
        | c2_1(X49) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f860,plain,
    ( ! [X49] :
        ( c2_1(X49)
        | c1_1(X49)
        | c0_1(X49) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f863,definition,
    ( spl0_59
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f874,plain,
    ( spl0_22
    | spl0_56
    | spl0_9
    | spl0_31 ),
    inference(avatar_split_clause,[],[f608,f746,f659,f851,f708]) ).

fof(f880,definition,
    ( spl0_63
  <=> ! [X43] :
        ( c3_1(X43)
        | c0_1(X43)
        | ~ c2_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f881,plain,
    ( ! [X43] :
        ( c3_1(X43)
        | c0_1(X43)
        | ~ c2_1(X43) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f884,definition,
    ( spl0_64
  <=> hskp49 ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f887,plain,
    ( ~ spl0_64
    | spl0_31
    | spl0_9
    | spl0_38 ),
    inference(avatar_split_clause,[],[f610,f774,f659,f746,f884]) ).

fof(f902,definition,
    ( spl0_68
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f905,plain,
    ( spl0_33
    | ~ spl0_68
    | spl0_9
    | spl0_16 ),
    inference(avatar_split_clause,[],[f559,f687,f659,f902,f754]) ).

fof(f907,definition,
    ( spl0_69
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f910,plain,
    ( spl0_6
    | spl0_9
    | spl0_58
    | spl0_69 ),
    inference(avatar_split_clause,[],[f558,f907,f859,f659,f647]) ).

fof(f919,definition,
    ( spl0_72
  <=> hskp38 ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f923,definition,
    ( spl0_73
  <=> hskp46 ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f926,plain,
    ( spl0_23
    | spl0_72
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f556,f923,f919,f712]) ).

fof(f928,definition,
    ( spl0_74
  <=> hskp45 ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f932,definition,
    ( spl0_75
  <=> hskp44 ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f935,plain,
    ( ~ spl0_74
    | ~ spl0_75
    | spl0_9
    | spl0_55 ),
    inference(avatar_split_clause,[],[f555,f848,f659,f932,f928]) ).

fof(f960,plain,
    ( spl0_38
    | spl0_9
    | spl0_19
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f615,f863,f698,f659,f774]) ).

fof(f969,plain,
    ( spl0_52
    | spl0_72
    | spl0_9
    | spl0_38 ),
    inference(avatar_split_clause,[],[f616,f774,f659,f919,f836]) ).

fof(f970,plain,
    ( spl0_69
    | spl0_9
    | spl0_63 ),
    inference(avatar_split_clause,[],[f546,f880,f659,f907]) ).

fof(f980,definition,
    ( spl0_85
  <=> hskp37 ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f984,definition,
    ( spl0_86
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f987,plain,
    ( spl0_85
    | ~ spl0_86
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f544,f663,f659,f984,f980]) ).

fof(f990,plain,
    ( ~ spl0_53
    | spl0_43
    | spl0_9
    | spl0_8 ),
    inference(avatar_split_clause,[],[f619,f656,f659,f797,f839]) ).

fof(f991,plain,
    ( spl0_26
    | spl0_9
    | spl0_28
    | spl0_33 ),
    inference(avatar_split_clause,[],[f620,f754,f733,f659,f726]) ).

fof(f1036,definition,
    ( spl0_96
  <=> c3_1(a1105) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f1038,plain,
    ( c3_1(a1105)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f1036]) ).

fof(f1039,plain,
    ( spl0_96
    | spl0_1 ),
    inference(avatar_split_clause,[],[f532,f626,f1036]) ).

fof(f1041,definition,
    ( spl0_97
  <=> c1_1(a1105) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f1044,plain,
    ( ~ spl0_97
    | spl0_1 ),
    inference(avatar_split_clause,[],[f531,f626,f1041]) ).

fof(f1046,definition,
    ( spl0_98
  <=> c2_1(a1105) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f1048,plain,
    ( c2_1(a1105)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f1046]) ).

fof(f1049,plain,
    ( spl0_98
    | spl0_1 ),
    inference(avatar_split_clause,[],[f530,f626,f1046]) ).

fof(f1050,plain,
    ( ~ spl0_9
    | spl0_1 ),
    inference(avatar_split_clause,[],[f529,f626,f659]) ).

fof(f1052,definition,
    ( spl0_99
  <=> c1_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f1055,plain,
    ( ~ spl0_99
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f528,f634,f1052]) ).

fof(f1057,definition,
    ( spl0_100
  <=> c3_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f1059,plain,
    ( c3_1(a1103)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f1057]) ).

fof(f1060,plain,
    ( spl0_100
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f71,f634,f1057]) ).

fof(f1062,definition,
    ( spl0_101
  <=> c2_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f1064,plain,
    ( ~ c2_1(a1103)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f1062]) ).

fof(f1065,plain,
    ( ~ spl0_101
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f527,f634,f1062]) ).

fof(f1089,definition,
    ( spl0_106
  <=> c0_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f1092,plain,
    ( ~ spl0_106
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f79,f671,f1089]) ).

fof(f1094,definition,
    ( spl0_107
  <=> c2_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f1096,plain,
    ( ~ c2_1(a1097)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f1094]) ).

fof(f1097,plain,
    ( ~ spl0_107
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f523,f671,f1094]) ).

fof(f1116,definition,
    ( spl0_111
  <=> c3_1(a1086) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f1118,plain,
    ( c3_1(a1086)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f1119,plain,
    ( spl0_111
    | spl0_34 ),
    inference(avatar_split_clause,[],[f517,f759,f1116]) ).

fof(f1121,definition,
    ( spl0_112
  <=> c2_1(a1086) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f1123,plain,
    ( ~ c2_1(a1086)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f1121]) ).

fof(f1124,plain,
    ( ~ spl0_112
    | spl0_34 ),
    inference(avatar_split_clause,[],[f516,f759,f1121]) ).

fof(f1126,definition,
    ( spl0_113
  <=> c0_1(a1086) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f1129,plain,
    ( ~ spl0_113
    | spl0_34 ),
    inference(avatar_split_clause,[],[f515,f759,f1126]) ).

fof(f1132,definition,
    ( spl0_114
  <=> c3_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f1134,plain,
    ( c3_1(a1085)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f1132]) ).

fof(f1135,plain,
    ( spl0_114
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f90,f767,f1132]) ).

fof(f1137,definition,
    ( spl0_115
  <=> c0_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f1140,plain,
    ( spl0_115
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f91,f767,f1137]) ).

fof(f1142,definition,
    ( spl0_116
  <=> c2_1(a1085) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f1145,plain,
    ( ~ spl0_116
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f513,f767,f1142]) ).

fof(f1148,definition,
    ( spl0_117
  <=> c0_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f1151,plain,
    ( spl0_117
    | spl0_2 ),
    inference(avatar_split_clause,[],[f511,f630,f1148]) ).

fof(f1153,definition,
    ( spl0_118
  <=> c1_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f1156,plain,
    ( spl0_118
    | spl0_2 ),
    inference(avatar_split_clause,[],[f510,f630,f1153]) ).

fof(f1158,definition,
    ( spl0_119
  <=> c3_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f1160,plain,
    ( ~ c3_1(a1084)
    | spl0_119 ),
    inference(avatar_component_clause,[],[f1158]) ).

fof(f1161,plain,
    ( ~ spl0_119
    | spl0_2 ),
    inference(avatar_split_clause,[],[f509,f630,f1158]) ).

fof(f1164,definition,
    ( spl0_120
  <=> c3_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f1166,plain,
    ( c3_1(a1081)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f1164]) ).

fof(f1167,plain,
    ( spl0_120
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f98,f788,f1164]) ).

fof(f1169,definition,
    ( spl0_121
  <=> c0_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f1172,plain,
    ( ~ spl0_121
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f99,f788,f1169]) ).

fof(f1174,definition,
    ( spl0_122
  <=> c1_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f1177,plain,
    ( ~ spl0_122
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f507,f788,f1174]) ).

fof(f1196,definition,
    ( spl0_126
  <=> c0_1(a1073) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f1199,plain,
    ( spl0_126
    | spl0_51 ),
    inference(avatar_split_clause,[],[f501,f831,f1196]) ).

fof(f1201,definition,
    ( spl0_127
  <=> c2_1(a1073) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f1203,plain,
    ( ~ c2_1(a1073)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f1201]) ).

fof(f1204,plain,
    ( ~ spl0_127
    | spl0_51 ),
    inference(avatar_split_clause,[],[f500,f831,f1201]) ).

fof(f1206,definition,
    ( spl0_128
  <=> c1_1(a1073) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f1209,plain,
    ( ~ spl0_128
    | spl0_51 ),
    inference(avatar_split_clause,[],[f499,f831,f1206]) ).

fof(f1260,definition,
    ( spl0_138
  <=> c1_1(a1065) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f1263,plain,
    ( ~ spl0_138
    | spl0_64 ),
    inference(avatar_split_clause,[],[f486,f884,f1260]) ).

fof(f1265,definition,
    ( spl0_139
  <=> c2_1(a1065) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f1267,plain,
    ( c2_1(a1065)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f1265]) ).

fof(f1268,plain,
    ( spl0_139
    | spl0_64 ),
    inference(avatar_split_clause,[],[f485,f884,f1265]) ).

fof(f1270,definition,
    ( spl0_140
  <=> c0_1(a1065) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f1273,plain,
    ( ~ spl0_140
    | spl0_64 ),
    inference(avatar_split_clause,[],[f484,f884,f1270]) ).

fof(f1308,definition,
    ( spl0_147
  <=> c0_1(a1053) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1311,plain,
    ( spl0_147
    | spl0_73 ),
    inference(avatar_split_clause,[],[f474,f923,f1308]) ).

fof(f1313,definition,
    ( spl0_148
  <=> c2_1(a1053) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1315,plain,
    ( c2_1(a1053)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f1313]) ).

fof(f1316,plain,
    ( spl0_148
    | spl0_73 ),
    inference(avatar_split_clause,[],[f473,f923,f1313]) ).

fof(f1318,definition,
    ( spl0_149
  <=> c1_1(a1053) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1321,plain,
    ( spl0_149
    | spl0_73 ),
    inference(avatar_split_clause,[],[f472,f923,f1318]) ).

fof(f1324,definition,
    ( spl0_150
  <=> c2_1(a1052) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f1326,plain,
    ( ~ c2_1(a1052)
    | spl0_150 ),
    inference(avatar_component_clause,[],[f1324]) ).

fof(f1327,plain,
    ( ~ spl0_150
    | spl0_74 ),
    inference(avatar_split_clause,[],[f470,f928,f1324]) ).

fof(f1329,definition,
    ( spl0_151
  <=> c3_1(a1052) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f1331,plain,
    ( c3_1(a1052)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f1329]) ).

fof(f1332,plain,
    ( spl0_151
    | spl0_74 ),
    inference(avatar_split_clause,[],[f469,f928,f1329]) ).

fof(f1334,definition,
    ( spl0_152
  <=> c0_1(a1052) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1337,plain,
    ( spl0_152
    | spl0_74 ),
    inference(avatar_split_clause,[],[f468,f928,f1334]) ).

fof(f1345,definition,
    ( spl0_154
  <=> c2_1(a1051) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f1347,plain,
    ( c2_1(a1051)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1345]) ).

fof(f1348,plain,
    ( spl0_154
    | spl0_75 ),
    inference(avatar_split_clause,[],[f465,f932,f1345]) ).

fof(f1350,definition,
    ( spl0_155
  <=> c1_1(a1051) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1353,plain,
    ( ~ spl0_155
    | spl0_75 ),
    inference(avatar_split_clause,[],[f464,f932,f1350]) ).

fof(f1356,definition,
    ( spl0_156
  <=> c1_1(a1049) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1359,plain,
    ( ~ spl0_156
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f462,f647,f1356]) ).

fof(f1361,definition,
    ( spl0_157
  <=> c2_1(a1049) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1363,plain,
    ( ~ c2_1(a1049)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1361]) ).

fof(f1364,plain,
    ( ~ spl0_157
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f461,f647,f1361]) ).

fof(f1366,definition,
    ( spl0_158
  <=> c0_1(a1049) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1369,plain,
    ( spl0_158
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f148,f647,f1366]) ).

fof(f1434,plain,
    ( ~ spl0_9
    | spl0_47 ),
    inference(avatar_split_clause,[],[f448,f813,f659]) ).

fof(f1436,definition,
    ( spl0_171
  <=> c2_1(a1040) ),
    introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).

fof(f1438,plain,
    ( ~ c2_1(a1040)
    | spl0_171 ),
    inference(avatar_component_clause,[],[f1436]) ).

fof(f1439,plain,
    ( ~ spl0_171
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f447,f919,f1436]) ).

fof(f1441,definition,
    ( spl0_172
  <=> c3_1(a1040) ),
    introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).

fof(f1443,plain,
    ( c3_1(a1040)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1441]) ).

fof(f1444,plain,
    ( spl0_172
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f167,f919,f1441]) ).

fof(f1446,definition,
    ( spl0_173
  <=> c1_1(a1040) ),
    introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).

fof(f1449,plain,
    ( ~ spl0_173
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f446,f919,f1446]) ).

fof(f1452,definition,
    ( spl0_174
  <=> c3_1(a1037) ),
    introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).

fof(f1454,plain,
    ( c3_1(a1037)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1452]) ).

fof(f1455,plain,
    ( spl0_174
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f170,f980,f1452]) ).

fof(f1457,definition,
    ( spl0_175
  <=> c0_1(a1037) ),
    introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).

fof(f1460,plain,
    ( spl0_175
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f171,f980,f1457]) ).

fof(f1462,definition,
    ( spl0_176
  <=> c1_1(a1037) ),
    introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).

fof(f1465,plain,
    ( spl0_176
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f444,f980,f1462]) ).

fof(f1484,definition,
    ( spl0_180
  <=> c3_1(a1033) ),
    introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).

fof(f1486,plain,
    ( c3_1(a1033)
    | ~ spl0_180 ),
    inference(avatar_component_clause,[],[f1484]) ).

fof(f1487,plain,
    ( spl0_180
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f178,f679,f1484]) ).

fof(f1489,definition,
    ( spl0_181
  <=> c1_1(a1033) ),
    introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).

fof(f1492,plain,
    ( ~ spl0_181
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f440,f679,f1489]) ).

fof(f1494,definition,
    ( spl0_182
  <=> c0_1(a1033) ),
    introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).

fof(f1497,plain,
    ( spl0_182
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f180,f679,f1494]) ).

fof(f1500,definition,
    ( spl0_183
  <=> c3_1(a1032) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

fof(f1502,plain,
    ( c3_1(a1032)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1500]) ).

fof(f1503,plain,
    ( spl0_183
    | spl0_53 ),
    inference(avatar_split_clause,[],[f438,f839,f1500]) ).

fof(f1505,definition,
    ( spl0_184
  <=> c1_1(a1032) ),
    introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).

fof(f1508,plain,
    ( spl0_184
    | spl0_53 ),
    inference(avatar_split_clause,[],[f437,f839,f1505]) ).

fof(f1510,definition,
    ( spl0_185
  <=> c2_1(a1032) ),
    introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).

fof(f1512,plain,
    ( c2_1(a1032)
    | ~ spl0_185 ),
    inference(avatar_component_clause,[],[f1510]) ).

fof(f1513,plain,
    ( spl0_185
    | spl0_53 ),
    inference(avatar_split_clause,[],[f436,f839,f1510]) ).

fof(f1516,definition,
    ( spl0_186
  <=> c2_1(a1031) ),
    introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).

fof(f1518,plain,
    ( ~ c2_1(a1031)
    | spl0_186 ),
    inference(avatar_component_clause,[],[f1516]) ).

fof(f1519,plain,
    ( ~ spl0_186
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f434,f754,f1516]) ).

fof(f1521,definition,
    ( spl0_187
  <=> c1_1(a1031) ),
    introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).

fof(f1524,plain,
    ( spl0_187
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f433,f754,f1521]) ).

fof(f1526,definition,
    ( spl0_188
  <=> c3_1(a1031) ),
    introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).

fof(f1528,plain,
    ( c3_1(a1031)
    | ~ spl0_188 ),
    inference(avatar_component_clause,[],[f1526]) ).

fof(f1529,plain,
    ( spl0_188
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f188,f754,f1526]) ).

fof(f1628,definition,
    ( spl0_207
  <=> c0_1(a1098) ),
    introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).

fof(f1631,plain,
    ( ~ spl0_207
    | spl0_11 ),
    inference(avatar_split_clause,[],[f409,f667,f1628]) ).

fof(f1633,definition,
    ( spl0_208
  <=> c1_1(a1098) ),
    introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).

fof(f1636,plain,
    ( ~ spl0_208
    | spl0_11 ),
    inference(avatar_split_clause,[],[f408,f667,f1633]) ).

fof(f1638,definition,
    ( spl0_209
  <=> c3_1(a1098) ),
    introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).

fof(f1640,plain,
    ( ~ c3_1(a1098)
    | spl0_209 ),
    inference(avatar_component_clause,[],[f1638]) ).

fof(f1641,plain,
    ( ~ spl0_209
    | spl0_11 ),
    inference(avatar_split_clause,[],[f407,f667,f1638]) ).

fof(f1644,definition,
    ( spl0_210
  <=> c2_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).

fof(f1647,plain,
    ( spl0_210
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f405,f729,f1644]) ).

fof(f1649,definition,
    ( spl0_211
  <=> c0_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).

fof(f1652,plain,
    ( ~ spl0_211
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f219,f729,f1649]) ).

fof(f1654,definition,
    ( spl0_212
  <=> c3_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).

fof(f1656,plain,
    ( ~ c3_1(a1091)
    | spl0_212 ),
    inference(avatar_component_clause,[],[f1654]) ).

fof(f1657,plain,
    ( ~ spl0_212
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f220,f729,f1654]) ).

fof(f1692,definition,
    ( spl0_219
  <=> c1_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).

fof(f1695,plain,
    ( spl0_219
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f396,f779,f1692]) ).

fof(f1697,definition,
    ( spl0_220
  <=> c3_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).

fof(f1699,plain,
    ( c3_1(a1083)
    | ~ spl0_220 ),
    inference(avatar_component_clause,[],[f1697]) ).

fof(f1700,plain,
    ( spl0_220
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f231,f779,f1697]) ).

fof(f1702,definition,
    ( spl0_221
  <=> c2_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).

fof(f1705,plain,
    ( ~ spl0_221
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f395,f779,f1702]) ).

fof(f1708,definition,
    ( spl0_222
  <=> c0_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).

fof(f1711,plain,
    ( ~ spl0_222
    | spl0_40 ),
    inference(avatar_split_clause,[],[f393,f784,f1708]) ).

fof(f1713,definition,
    ( spl0_223
  <=> c2_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).

fof(f1715,plain,
    ( c2_1(a1082)
    | ~ spl0_223 ),
    inference(avatar_component_clause,[],[f1713]) ).

fof(f1716,plain,
    ( spl0_223
    | spl0_40 ),
    inference(avatar_split_clause,[],[f392,f784,f1713]) ).

fof(f1718,definition,
    ( spl0_224
  <=> c3_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).

fof(f1720,plain,
    ( ~ c3_1(a1082)
    | spl0_224 ),
    inference(avatar_component_clause,[],[f1718]) ).

fof(f1721,plain,
    ( ~ spl0_224
    | spl0_40 ),
    inference(avatar_split_clause,[],[f391,f784,f1718]) ).

fof(f1770,plain,
    ( ~ spl0_9
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f380,f805,f659]) ).

fof(f1786,plain,
    ( ~ spl0_9
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f378,f809,f659]) ).

fof(f1804,definition,
    ( spl0_240
  <=> c1_1(a1059) ),
    introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).

fof(f1807,plain,
    ( spl0_240
    | spl0_68 ),
    inference(avatar_split_clause,[],[f373,f902,f1804]) ).

fof(f1809,definition,
    ( spl0_241
  <=> c2_1(a1059) ),
    introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).

fof(f1811,plain,
    ( ~ c2_1(a1059)
    | spl0_241 ),
    inference(avatar_component_clause,[],[f1809]) ).

fof(f1812,plain,
    ( ~ spl0_241
    | spl0_68 ),
    inference(avatar_split_clause,[],[f372,f902,f1809]) ).

fof(f1814,definition,
    ( spl0_242
  <=> c3_1(a1059) ),
    introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).

fof(f1816,plain,
    ( c3_1(a1059)
    | ~ spl0_242 ),
    inference(avatar_component_clause,[],[f1814]) ).

fof(f1817,plain,
    ( spl0_242
    | spl0_68 ),
    inference(avatar_split_clause,[],[f371,f902,f1814]) ).

fof(f1820,definition,
    ( spl0_243
  <=> c2_1(a1055) ),
    introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).

fof(f1822,plain,
    ( c2_1(a1055)
    | ~ spl0_243 ),
    inference(avatar_component_clause,[],[f1820]) ).

fof(f1823,plain,
    ( spl0_243
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f369,f712,f1820]) ).

fof(f1825,definition,
    ( spl0_244
  <=> c1_1(a1055) ),
    introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).

fof(f1828,plain,
    ( spl0_244
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f368,f712,f1825]) ).

fof(f1830,definition,
    ( spl0_245
  <=> c0_1(a1055) ),
    introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).

fof(f1833,plain,
    ( ~ spl0_245
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f264,f712,f1830]) ).

fof(f1852,definition,
    ( spl0_249
  <=> c3_1(a1043) ),
    introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).

fof(f1854,plain,
    ( ~ c3_1(a1043)
    | spl0_249 ),
    inference(avatar_component_clause,[],[f1852]) ).

fof(f1855,plain,
    ( ~ spl0_249
    | spl0_59 ),
    inference(avatar_split_clause,[],[f364,f863,f1852]) ).

fof(f1857,definition,
    ( spl0_250
  <=> c0_1(a1043) ),
    introduced(definition,[new_symbols(definition,[spl0_250])],[avatar_definition]) ).

fof(f1860,plain,
    ( spl0_250
    | spl0_59 ),
    inference(avatar_split_clause,[],[f363,f863,f1857]) ).

fof(f1862,definition,
    ( spl0_251
  <=> c1_1(a1043) ),
    introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).

fof(f1865,plain,
    ( spl0_251
    | spl0_59 ),
    inference(avatar_split_clause,[],[f362,f863,f1862]) ).

fof(f1884,definition,
    ( spl0_255
  <=> c0_1(a1039) ),
    introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).

fof(f1887,plain,
    ( ~ spl0_255
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f278,f907,f1884]) ).

fof(f1889,definition,
    ( spl0_256
  <=> c2_1(a1039) ),
    introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).

fof(f1891,plain,
    ( c2_1(a1039)
    | ~ spl0_256 ),
    inference(avatar_component_clause,[],[f1889]) ).

fof(f1892,plain,
    ( spl0_256
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f357,f907,f1889]) ).

fof(f1894,definition,
    ( spl0_257
  <=> c1_1(a1039) ),
    introduced(definition,[new_symbols(definition,[spl0_257])],[avatar_definition]) ).

fof(f1897,plain,
    ( ~ spl0_257
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f356,f907,f1894]) ).

fof(f1916,definition,
    ( spl0_261
  <=> c1_1(a1036) ),
    introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).

fof(f1919,plain,
    ( spl0_261
    | spl0_86 ),
    inference(avatar_split_clause,[],[f351,f984,f1916]) ).

fof(f1921,definition,
    ( spl0_262
  <=> c3_1(a1036) ),
    introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).

fof(f1923,plain,
    ( ~ c3_1(a1036)
    | spl0_262 ),
    inference(avatar_component_clause,[],[f1921]) ).

fof(f1924,plain,
    ( ~ spl0_262
    | spl0_86 ),
    inference(avatar_split_clause,[],[f350,f984,f1921]) ).

fof(f1926,definition,
    ( spl0_263
  <=> c0_1(a1036) ),
    introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).

fof(f1929,plain,
    ( spl0_263
    | spl0_86 ),
    inference(avatar_split_clause,[],[f349,f984,f1926]) ).

fof(f2070,plain,
    ( ~ c2_1(a1082)
    | c1_1(a1082)
    | ~ spl0_8
    | spl0_224 ),
    inference(resolution,[],[f657,f1720]) ).

fof(f2073,plain,
    ( ~ c2_1(a1091)
    | c1_1(a1091)
    | ~ spl0_8
    | spl0_212 ),
    inference(resolution,[],[f657,f1656]) ).

fof(f2106,definition,
    ( spl0_289
  <=> c2_1(a1084) ),
    introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).

fof(f2111,definition,
    ( spl0_290
  <=> c2_1(a1081) ),
    introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).

fof(f2112,plain,
    ( c2_1(a1081)
    | ~ spl0_290 ),
    inference(avatar_component_clause,[],[f2111]) ).

fof(f2136,definition,
    ( spl0_295
  <=> c2_1(a1037) ),
    introduced(definition,[new_symbols(definition,[spl0_295])],[avatar_definition]) ).

fof(f2137,plain,
    ( c2_1(a1037)
    | ~ spl0_295 ),
    inference(avatar_component_clause,[],[f2136]) ).

fof(f2146,definition,
    ( spl0_297
  <=> c2_1(a1033) ),
    introduced(definition,[new_symbols(definition,[spl0_297])],[avatar_definition]) ).

fof(f2148,plain,
    ( ~ c2_1(a1033)
    | spl0_297 ),
    inference(avatar_component_clause,[],[f2146]) ).

fof(f2161,definition,
    ( spl0_300
  <=> c2_1(a1098) ),
    introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).

fof(f2163,plain,
    ( ~ c2_1(a1098)
    | spl0_300 ),
    inference(avatar_component_clause,[],[f2161]) ).

fof(f2171,definition,
    ( spl0_302
  <=> c2_1(a1036) ),
    introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).

fof(f2175,plain,
    ( c0_1(a1105)
    | c1_1(a1105)
    | ~ spl0_10
    | ~ spl0_96 ),
    inference(resolution,[],[f664,f1038]) ).

fof(f2185,definition,
    ( spl0_304
  <=> c0_1(a1105) ),
    introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).

fof(f2190,plain,
    ( ~ c0_1(a1053)
    | ~ c1_1(a1053)
    | ~ spl0_13
    | ~ spl0_148 ),
    inference(resolution,[],[f676,f1315]) ).

fof(f2193,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(resolution,[],[f688,f657]) ).

fof(f2197,plain,
    ( ~ c2_1(a1105)
    | c0_1(a1105)
    | ~ spl0_16
    | ~ spl0_96 ),
    inference(resolution,[],[f688,f1038]) ).

fof(f2198,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f2193]) ).

fof(f2201,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(resolution,[],[f695,f657]) ).

fof(f2206,plain,
    ( c1_1(a1105)
    | ~ c2_1(a1105)
    | ~ spl0_18
    | ~ spl0_96 ),
    inference(resolution,[],[f695,f1038]) ).

fof(f2207,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f2201]) ).

fof(f2208,plain,
    ( ~ spl0_98
    | spl0_97
    | ~ spl0_18
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2206,f1036,f694,f1041,f1046]) ).

fof(f2244,plain,
    ( ~ c0_1(a1033)
    | c1_1(a1033)
    | ~ spl0_19
    | spl0_297 ),
    inference(resolution,[],[f699,f2148]) ).

fof(f2272,definition,
    ( spl0_305
  <=> c0_1(a1103) ),
    introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).

fof(f2283,definition,
    ( spl0_307
  <=> c0_1(a1040) ),
    introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition]) ).

fof(f2288,definition,
    ( spl0_308
  <=> c0_1(a1032) ),
    introduced(definition,[new_symbols(definition,[spl0_308])],[avatar_definition]) ).

fof(f2303,definition,
    ( spl0_311
  <=> c0_1(a1083) ),
    introduced(definition,[new_symbols(definition,[spl0_311])],[avatar_definition]) ).

fof(f2308,definition,
    ( spl0_312
  <=> c0_1(a1059) ),
    introduced(definition,[new_symbols(definition,[spl0_312])],[avatar_definition]) ).

fof(f2336,definition,
    ( spl0_316
  <=> c0_1(a1031) ),
    introduced(definition,[new_symbols(definition,[spl0_316])],[avatar_definition]) ).

fof(f2390,definition,
    ( spl0_318
  <=> c1_1(a1097) ),
    introduced(definition,[new_symbols(definition,[spl0_318])],[avatar_definition]) ).

fof(f2411,definition,
    ( spl0_322
  <=> c1_1(a1052) ),
    introduced(definition,[new_symbols(definition,[spl0_322])],[avatar_definition]) ).

fof(f2417,definition,
    ( spl0_323
  <=> c1_1(a1091) ),
    introduced(definition,[new_symbols(definition,[spl0_323])],[avatar_definition]) ).

fof(f2422,definition,
    ( spl0_324
  <=> c1_1(a1082) ),
    introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).

fof(f2456,plain,
    ( c2_1(a1086)
    | c1_1(a1086)
    | ~ spl0_26
    | ~ spl0_111 ),
    inference(resolution,[],[f727,f1118]) ).

fof(f2460,definition,
    ( spl0_330
  <=> c1_1(a1086) ),
    introduced(definition,[new_symbols(definition,[spl0_330])],[avatar_definition]) ).

fof(f2466,plain,
    ( c2_1(a1040)
    | c1_1(a1040)
    | ~ spl0_26
    | ~ spl0_172 ),
    inference(resolution,[],[f1443,f727]) ).

fof(f2468,plain,
    ( spl0_173
    | spl0_171
    | ~ spl0_26
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f2466,f1441,f726,f1436,f1446]) ).

fof(f2478,plain,
    ( c2_1(a1103)
    | c1_1(a1103)
    | ~ spl0_26
    | ~ spl0_100 ),
    inference(resolution,[],[f1059,f727]) ).

fof(f2480,plain,
    ( spl0_99
    | spl0_101
    | ~ spl0_26
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2478,f1057,f726,f1062,f1052]) ).

fof(f2493,plain,
    ( c0_1(a1103)
    | c1_1(a1103)
    | ~ spl0_10
    | ~ spl0_100 ),
    inference(resolution,[],[f664,f1059]) ).

fof(f2494,plain,
    ( spl0_99
    | spl0_305
    | ~ spl0_10
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2493,f1057,f663,f2272,f1052]) ).

fof(f2511,plain,
    ( c2_1(a1036)
    | ~ c1_1(a1036)
    | ~ spl0_22
    | spl0_262 ),
    inference(resolution,[],[f709,f1923]) ).

fof(f2537,plain,
    ( c2_1(a1084)
    | ~ c1_1(a1084)
    | ~ spl0_22
    | spl0_119 ),
    inference(resolution,[],[f709,f1160]) ).

fof(f2552,plain,
    ( c0_1(a1105)
    | c1_1(a1105)
    | ~ spl0_28
    | ~ spl0_98 ),
    inference(resolution,[],[f734,f1048]) ).

fof(f2553,plain,
    ( spl0_97
    | spl0_304
    | ~ spl0_28
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f2552,f1046,f733,f2185,f1041]) ).

fof(f2612,plain,
    ( ~ c1_1(a1031)
    | c2_1(a1031)
    | ~ spl0_37
    | ~ spl0_188 ),
    inference(resolution,[],[f772,f1528]) ).

fof(f2623,plain,
    ( spl0_186
    | ~ spl0_187
    | ~ spl0_37
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f2612,f1526,f771,f1521,f1516]) ).

fof(f2630,plain,
    ( ~ c2_1(a1033)
    | ~ c0_1(a1033)
    | ~ spl0_38
    | ~ spl0_180 ),
    inference(resolution,[],[f775,f1486]) ).

fof(f2636,plain,
    ( ~ spl0_182
    | ~ spl0_297
    | ~ spl0_38
    | ~ spl0_180 ),
    inference(avatar_split_clause,[],[f2630,f1484,f774,f2146,f1494]) ).

fof(f2644,plain,
    ( c2_1(a1085)
    | ~ c0_1(a1085)
    | ~ spl0_20
    | ~ spl0_114 ),
    inference(resolution,[],[f1134,f702]) ).

fof(f2648,plain,
    ( ~ spl0_115
    | spl0_116
    | ~ spl0_20
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2644,f1132,f701,f1142,f1137]) ).

fof(f2662,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(resolution,[],[f688,f747]) ).

fof(f2671,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f2662]) ).

fof(f2674,plain,
    ( spl0_21
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f2671,f746,f687,f705]) ).

fof(f2760,plain,
    ( c0_1(a1083)
    | c2_1(a1083)
    | ~ spl0_15
    | ~ spl0_220 ),
    inference(resolution,[],[f684,f1699]) ).

fof(f2800,plain,
    ( ~ c0_1(a1040)
    | c1_1(a1040)
    | ~ spl0_19
    | spl0_171 ),
    inference(resolution,[],[f699,f1438]) ).

fof(f2804,plain,
    ( ~ c0_1(a1049)
    | c1_1(a1049)
    | ~ spl0_19
    | spl0_157 ),
    inference(resolution,[],[f699,f1363]) ).

fof(f2806,plain,
    ( ~ c0_1(a1052)
    | c1_1(a1052)
    | ~ spl0_19
    | spl0_150 ),
    inference(resolution,[],[f699,f1326]) ).

fof(f2811,plain,
    ( ~ c0_1(a1073)
    | c1_1(a1073)
    | ~ spl0_19
    | spl0_127 ),
    inference(resolution,[],[f699,f1203]) ).

fof(f2821,plain,
    ( c2_1(a1083)
    | ~ c0_1(a1083)
    | ~ spl0_20
    | ~ spl0_220 ),
    inference(resolution,[],[f702,f1699]) ).

fof(f2823,plain,
    ( c2_1(a1031)
    | ~ c0_1(a1031)
    | ~ spl0_20
    | ~ spl0_188 ),
    inference(resolution,[],[f702,f1528]) ).

fof(f2826,plain,
    ( c2_1(a1103)
    | ~ c0_1(a1103)
    | ~ spl0_20
    | ~ spl0_100 ),
    inference(resolution,[],[f702,f1059]) ).

fof(f2841,plain,
    ( c0_1(a1065)
    | c1_1(a1065)
    | ~ spl0_28
    | ~ spl0_139 ),
    inference(resolution,[],[f734,f1267]) ).

fof(f2846,plain,
    ( spl0_138
    | spl0_140
    | ~ spl0_28
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f2841,f1265,f733,f1270,f1260]) ).

fof(f2854,plain,
    ( c2_1(a1081)
    | c1_1(a1081)
    | ~ spl0_26
    | ~ spl0_120 ),
    inference(resolution,[],[f1166,f727]) ).

fof(f2860,plain,
    ( c0_1(a1081)
    | c1_1(a1081)
    | ~ spl0_28
    | ~ spl0_290 ),
    inference(resolution,[],[f2112,f734]) ).

fof(f2861,plain,
    ( spl0_122
    | spl0_121
    | ~ spl0_28
    | ~ spl0_290 ),
    inference(avatar_split_clause,[],[f2860,f2111,f733,f1169,f1174]) ).

fof(f2865,plain,
    ( c0_1(a1055)
    | ~ c1_1(a1055)
    | ~ spl0_21
    | ~ spl0_243 ),
    inference(resolution,[],[f706,f1822]) ).

fof(f2867,plain,
    ( c0_1(a1082)
    | ~ c1_1(a1082)
    | ~ spl0_21
    | ~ spl0_223 ),
    inference(resolution,[],[f706,f1715]) ).

fof(f2894,plain,
    ( ~ c1_1(a1091)
    | c0_1(a1091)
    | ~ spl0_31
    | spl0_212 ),
    inference(resolution,[],[f747,f1656]) ).

fof(f2939,plain,
    ( ~ c1_1(a1083)
    | c2_1(a1083)
    | ~ spl0_37
    | ~ spl0_220 ),
    inference(resolution,[],[f772,f1699]) ).

fof(f2968,plain,
    ( ~ c1_1(a1036)
    | ~ c0_1(a1036)
    | ~ spl0_43
    | spl0_262 ),
    inference(resolution,[],[f798,f1923]) ).

fof(f2970,plain,
    ( ~ c1_1(a1043)
    | ~ c0_1(a1043)
    | ~ spl0_43
    | spl0_249 ),
    inference(resolution,[],[f798,f1854]) ).

fof(f2993,plain,
    ( ~ c1_1(a1084)
    | ~ c0_1(a1084)
    | ~ spl0_43
    | spl0_119 ),
    inference(resolution,[],[f798,f1160]) ).

fof(f3008,plain,
    ( ~ c2_1(a1032)
    | c0_1(a1032)
    | ~ spl0_16
    | ~ spl0_183 ),
    inference(resolution,[],[f1502,f688]) ).

fof(f3010,plain,
    ( ~ c2_1(a1032)
    | ~ c1_1(a1032)
    | ~ spl0_35
    | ~ spl0_183 ),
    inference(resolution,[],[f1502,f764]) ).

fof(f3013,plain,
    ( ~ spl0_184
    | ~ spl0_185
    | ~ spl0_35
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f3010,f1500,f763,f1510,f1505]) ).

fof(f3014,plain,
    ( spl0_308
    | ~ spl0_185
    | ~ spl0_16
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f3008,f1500,f687,f1510,f2288]) ).

fof(f3018,plain,
    ( spl0_28
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f2198,f687,f656,f733]) ).

fof(f3034,plain,
    ( c0_1(a1032)
    | ~ c1_1(a1032)
    | ~ spl0_21
    | ~ spl0_185 ),
    inference(resolution,[],[f1512,f706]) ).

fof(f3039,plain,
    ( ~ c1_1(a1059)
    | c2_1(a1059)
    | ~ spl0_37
    | ~ spl0_242 ),
    inference(resolution,[],[f1816,f772]) ).

fof(f3040,plain,
    ( c2_1(a1059)
    | ~ c0_1(a1059)
    | ~ spl0_20
    | ~ spl0_242 ),
    inference(resolution,[],[f1816,f702]) ).

fof(f3059,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(resolution,[],[f684,f747]) ).

fof(f3063,plain,
    ( c0_1(a1031)
    | c2_1(a1031)
    | ~ spl0_15
    | ~ spl0_188 ),
    inference(resolution,[],[f684,f1528]) ).

fof(f3068,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(duplicate_literal_removal,[],[f3059]) ).

fof(f3073,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_20
    | ~ spl0_48 ),
    inference(resolution,[],[f819,f702]) ).

fof(f3111,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_48 ),
    inference(duplicate_literal_removal,[],[f3073]) ).

fof(f3121,plain,
    ( ~ c0_1(a1032)
    | ~ c1_1(a1032)
    | ~ spl0_52
    | ~ spl0_183 ),
    inference(resolution,[],[f837,f1502]) ).

fof(f3152,plain,
    ( ~ c0_1(a1103)
    | c1_1(a1103)
    | ~ spl0_19
    | spl0_101 ),
    inference(resolution,[],[f1064,f699]) ).

fof(f3161,plain,
    ( ~ c2_1(a1032)
    | ~ c0_1(a1032)
    | ~ spl0_38
    | ~ spl0_183 ),
    inference(resolution,[],[f775,f1502]) ).

fof(f3163,plain,
    ( ~ c2_1(a1105)
    | ~ c0_1(a1105)
    | ~ spl0_38
    | ~ spl0_96 ),
    inference(resolution,[],[f775,f1038]) ).

fof(f3165,plain,
    ( ~ spl0_304
    | ~ spl0_98
    | ~ spl0_38
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f3163,f1036,f774,f1046,f2185]) ).

fof(f3170,plain,
    ( spl0_324
    | ~ spl0_223
    | ~ spl0_8
    | spl0_224 ),
    inference(avatar_split_clause,[],[f2070,f1718,f656,f1713,f2422]) ).

fof(f3176,plain,
    ( ~ spl0_324
    | spl0_222
    | ~ spl0_21
    | ~ spl0_223 ),
    inference(avatar_split_clause,[],[f2867,f1713,f705,f1708,f2422]) ).

fof(f3196,plain,
    ( spl0_19
    | ~ spl0_20
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f3111,f818,f701,f698]) ).

fof(f3277,plain,
    ( ~ c2_1(a1098)
    | c1_1(a1098)
    | ~ spl0_8
    | spl0_209 ),
    inference(resolution,[],[f657,f1640]) ).

fof(f3312,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_16
    | ~ spl0_55 ),
    inference(resolution,[],[f849,f688]) ).

fof(f3317,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_38
    | ~ spl0_55 ),
    inference(resolution,[],[f849,f775]) ).

fof(f3318,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_52
    | ~ spl0_55 ),
    inference(resolution,[],[f849,f837]) ).

fof(f3323,plain,
    ( ~ c2_1(a1036)
    | ~ c1_1(a1036)
    | ~ spl0_55
    | spl0_262 ),
    inference(resolution,[],[f849,f1923]) ).

fof(f3333,plain,
    ( ~ c2_1(a1091)
    | ~ c1_1(a1091)
    | ~ spl0_55
    | spl0_212 ),
    inference(resolution,[],[f849,f1656]) ).

fof(f3354,plain,
    ( ~ c2_1(a1084)
    | ~ c1_1(a1084)
    | ~ spl0_55
    | spl0_119 ),
    inference(resolution,[],[f849,f1160]) ).

fof(f3362,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_52
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f3318]) ).

fof(f3363,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_38
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f3317]) ).

fof(f3366,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) )
    | ~ spl0_16
    | ~ spl0_55 ),
    inference(duplicate_literal_removal,[],[f3312]) ).

fof(f3367,plain,
    ( ~ spl0_118
    | ~ spl0_289
    | ~ spl0_55
    | spl0_119 ),
    inference(avatar_split_clause,[],[f3354,f1158,f848,f2106,f1153]) ).

fof(f3380,plain,
    ( spl0_13
    | ~ spl0_52
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f3362,f848,f836,f675]) ).

fof(f3381,plain,
    ( spl0_13
    | ~ spl0_38
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f3363,f848,f774,f675]) ).

fof(f3382,plain,
    ( spl0_21
    | ~ spl0_16
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f3366,f848,f687,f705]) ).

fof(f3386,plain,
    ( c2_1(a1052)
    | ~ c0_1(a1052)
    | ~ spl0_20
    | ~ spl0_151 ),
    inference(resolution,[],[f1331,f702]) ).

fof(f3387,plain,
    ( c2_1(a1052)
    | c1_1(a1052)
    | ~ spl0_26
    | ~ spl0_151 ),
    inference(resolution,[],[f1331,f727]) ).

fof(f3388,plain,
    ( ~ c1_1(a1052)
    | c2_1(a1052)
    | ~ spl0_37
    | ~ spl0_151 ),
    inference(resolution,[],[f1331,f772]) ).

fof(f3391,plain,
    ( spl0_322
    | spl0_150
    | ~ spl0_26
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f3387,f1329,f726,f1324,f2411]) ).

fof(f3397,plain,
    ( c1_1(a1051)
    | ~ spl0_8
    | ~ spl0_18
    | ~ spl0_154 ),
    inference(resolution,[],[f1347,f2207]) ).

fof(f3398,plain,
    ( spl0_155
    | ~ spl0_8
    | ~ spl0_18
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f3397,f1345,f694,f656,f1350]) ).

fof(f3399,plain,
    ( ~ spl0_149
    | ~ spl0_147
    | ~ spl0_13
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f2190,f1313,f675,f1308,f1318]) ).

fof(f3404,plain,
    ( ~ spl0_152
    | spl0_150
    | ~ spl0_20
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f3386,f1329,f701,f1324,f1334]) ).

fof(f3405,plain,
    ( spl0_150
    | ~ spl0_322
    | ~ spl0_37
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f3388,f1329,f771,f2411,f1324]) ).

fof(f3421,plain,
    ( ~ c0_1(a1037)
    | ~ c1_1(a1037)
    | ~ spl0_13
    | ~ spl0_295 ),
    inference(resolution,[],[f676,f2137]) ).

fof(f3430,plain,
    ( ~ spl0_176
    | ~ spl0_175
    | ~ spl0_13
    | ~ spl0_295 ),
    inference(avatar_split_clause,[],[f3421,f2136,f675,f1457,f1462]) ).

fof(f3442,plain,
    ( c2_1(a1037)
    | ~ c0_1(a1037)
    | ~ spl0_20
    | ~ spl0_174 ),
    inference(resolution,[],[f1454,f702]) ).

fof(f3445,plain,
    ( ~ c2_1(a1037)
    | ~ c0_1(a1037)
    | ~ spl0_38
    | ~ spl0_174 ),
    inference(resolution,[],[f1454,f775]) ).

fof(f3447,plain,
    ( ~ spl0_175
    | ~ spl0_295
    | ~ spl0_38
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f3445,f1452,f774,f2136,f1457]) ).

fof(f3516,plain,
    ( ~ c1_1(a1086)
    | c0_1(a1086)
    | ~ spl0_56
    | spl0_112 ),
    inference(resolution,[],[f852,f1123]) ).

fof(f3518,plain,
    ( ~ c1_1(a1097)
    | c0_1(a1097)
    | ~ spl0_56
    | spl0_107 ),
    inference(resolution,[],[f852,f1096]) ).

fof(f3548,plain,
    ( c1_1(a1098)
    | c0_1(a1098)
    | ~ spl0_58
    | spl0_300 ),
    inference(resolution,[],[f860,f2163]) ).

fof(f3556,plain,
    ( c1_1(a1040)
    | c0_1(a1040)
    | ~ spl0_58
    | spl0_171 ),
    inference(resolution,[],[f860,f1438]) ).

fof(f3571,plain,
    ( c1_1(a1086)
    | c0_1(a1086)
    | ~ spl0_58
    | spl0_112 ),
    inference(resolution,[],[f860,f1123]) ).

fof(f3573,plain,
    ( c1_1(a1097)
    | c0_1(a1097)
    | ~ spl0_58
    | spl0_107 ),
    inference(resolution,[],[f860,f1096]) ).

fof(f3575,plain,
    ( c1_1(a1103)
    | c0_1(a1103)
    | ~ spl0_58
    | spl0_101 ),
    inference(resolution,[],[f860,f1064]) ).

fof(f3578,plain,
    ( spl0_305
    | spl0_99
    | ~ spl0_58
    | spl0_101 ),
    inference(avatar_split_clause,[],[f3575,f1062,f859,f1052,f2272]) ).

fof(f3580,plain,
    ( spl0_106
    | spl0_318
    | ~ spl0_58
    | spl0_107 ),
    inference(avatar_split_clause,[],[f3573,f1094,f859,f2390,f1089]) ).

fof(f3582,plain,
    ( spl0_113
    | spl0_330
    | ~ spl0_58
    | spl0_112 ),
    inference(avatar_split_clause,[],[f3571,f1121,f859,f2460,f1126]) ).

fof(f3591,plain,
    ( spl0_307
    | spl0_173
    | ~ spl0_58
    | spl0_171 ),
    inference(avatar_split_clause,[],[f3556,f1436,f859,f1446,f2283]) ).

fof(f3595,plain,
    ( spl0_207
    | spl0_208
    | ~ spl0_58
    | spl0_300 ),
    inference(avatar_split_clause,[],[f3548,f2161,f859,f1633,f1628]) ).

fof(f3699,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_35
    | ~ spl0_63 ),
    inference(resolution,[],[f881,f764]) ).

fof(f3747,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_35
    | ~ spl0_63 ),
    inference(duplicate_literal_removal,[],[f3699]) ).

fof(f3762,plain,
    ( spl0_21
    | ~ spl0_35
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f3747,f880,f763,f705]) ).

fof(f3763,plain,
    ( c0_1(a1039)
    | c1_1(a1039)
    | ~ spl0_28
    | ~ spl0_256 ),
    inference(resolution,[],[f1891,f734]) ).

fof(f3765,plain,
    ( spl0_257
    | spl0_255
    | ~ spl0_28
    | ~ spl0_256 ),
    inference(avatar_split_clause,[],[f3763,f1889,f733,f1884,f1894]) ).

fof(f3771,plain,
    ( spl0_181
    | ~ spl0_182
    | ~ spl0_19
    | spl0_297 ),
    inference(avatar_split_clause,[],[f2244,f2146,f698,f1494,f1489]) ).

fof(f3786,plain,
    ( spl0_322
    | ~ spl0_152
    | ~ spl0_19
    | spl0_150 ),
    inference(avatar_split_clause,[],[f2806,f1324,f698,f1334,f2411]) ).

fof(f3792,plain,
    ( spl0_99
    | ~ spl0_305
    | ~ spl0_19
    | spl0_101 ),
    inference(avatar_split_clause,[],[f3152,f1062,f698,f2272,f1052]) ).

fof(f3802,plain,
    ( ~ spl0_184
    | spl0_308
    | ~ spl0_21
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f3034,f1510,f705,f2288,f1505]) ).

fof(f3825,plain,
    ( spl0_211
    | ~ spl0_323
    | ~ spl0_31
    | spl0_212 ),
    inference(avatar_split_clause,[],[f2894,f1654,f746,f2417,f1649]) ).

fof(f3869,plain,
    ( spl0_97
    | spl0_304
    | ~ spl0_10
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2175,f1036,f663,f2185,f1041]) ).

fof(f3885,plain,
    ( spl0_330
    | spl0_112
    | ~ spl0_26
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f2456,f1116,f726,f1121,f2460]) ).

fof(f3892,plain,
    ( ~ spl0_323
    | ~ spl0_210
    | ~ spl0_55
    | spl0_212 ),
    inference(avatar_split_clause,[],[f3333,f1654,f848,f1644,f2417]) ).

fof(f3898,plain,
    ( ~ spl0_184
    | ~ spl0_308
    | ~ spl0_52
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f3121,f1500,f836,f2288,f1505]) ).

fof(f3899,plain,
    ( ~ spl0_308
    | ~ spl0_185
    | ~ spl0_38
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f3161,f1500,f774,f1510,f2288]) ).

fof(f3903,plain,
    ( spl0_186
    | spl0_316
    | ~ spl0_15
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f3063,f1526,f683,f2336,f1516]) ).

fof(f3916,plain,
    ( spl0_221
    | spl0_311
    | ~ spl0_15
    | ~ spl0_220 ),
    inference(avatar_split_clause,[],[f2760,f1697,f683,f2303,f1702]) ).

fof(f3919,plain,
    ( spl0_56
    | ~ spl0_15
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f3068,f746,f683,f851]) ).

fof(f3925,plain,
    ( spl0_323
    | ~ spl0_210
    | ~ spl0_8
    | spl0_212 ),
    inference(avatar_split_clause,[],[f2073,f1654,f656,f1644,f2417]) ).

fof(f3941,plain,
    ( spl0_113
    | ~ spl0_330
    | ~ spl0_56
    | spl0_112 ),
    inference(avatar_split_clause,[],[f3516,f1121,f851,f2460,f1126]) ).

fof(f3943,plain,
    ( spl0_106
    | ~ spl0_318
    | ~ spl0_56
    | spl0_107 ),
    inference(avatar_split_clause,[],[f3518,f1094,f851,f2390,f1089]) ).

fof(f3955,plain,
    ( ~ spl0_311
    | spl0_221
    | ~ spl0_20
    | ~ spl0_220 ),
    inference(avatar_split_clause,[],[f2821,f1697,f701,f1702,f2303]) ).

fof(f3957,plain,
    ( ~ spl0_312
    | spl0_241
    | ~ spl0_20
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f3040,f1814,f701,f1809,f2308]) ).

fof(f3966,plain,
    ( spl0_304
    | ~ spl0_98
    | ~ spl0_16
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f2197,f1036,f687,f1046,f2185]) ).

fof(f3974,plain,
    ( ~ spl0_244
    | spl0_245
    | ~ spl0_21
    | ~ spl0_243 ),
    inference(avatar_split_clause,[],[f2865,f1820,f705,f1830,f1825]) ).

fof(f3989,plain,
    ( spl0_221
    | ~ spl0_219
    | ~ spl0_37
    | ~ spl0_220 ),
    inference(avatar_split_clause,[],[f2939,f1697,f771,f1692,f1702]) ).

fof(f3995,plain,
    ( spl0_241
    | ~ spl0_240
    | ~ spl0_37
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f3039,f1814,f771,f1804,f1809]) ).

fof(f4002,plain,
    ( ~ spl0_263
    | ~ spl0_261
    | ~ spl0_43
    | spl0_262 ),
    inference(avatar_split_clause,[],[f2968,f1921,f797,f1916,f1926]) ).

fof(f4003,plain,
    ( ~ spl0_250
    | ~ spl0_251
    | ~ spl0_43
    | spl0_249 ),
    inference(avatar_split_clause,[],[f2970,f1852,f797,f1862,f1857]) ).

fof(f4008,plain,
    ( ~ spl0_117
    | ~ spl0_118
    | ~ spl0_43
    | spl0_119 ),
    inference(avatar_split_clause,[],[f2993,f1158,f797,f1153,f1148]) ).

fof(f4011,plain,
    ( ~ spl0_305
    | spl0_101
    | ~ spl0_20
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2826,f1057,f701,f1062,f2272]) ).

fof(f4013,plain,
    ( ~ spl0_175
    | spl0_295
    | ~ spl0_20
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f3442,f1452,f701,f2136,f1457]) ).

fof(f4030,plain,
    ( spl0_173
    | ~ spl0_307
    | ~ spl0_19
    | spl0_171 ),
    inference(avatar_split_clause,[],[f2800,f1436,f698,f2283,f1446]) ).

fof(f4031,plain,
    ( spl0_156
    | ~ spl0_158
    | ~ spl0_19
    | spl0_157 ),
    inference(avatar_split_clause,[],[f2804,f1361,f698,f1366,f1356]) ).

fof(f4034,plain,
    ( spl0_128
    | ~ spl0_126
    | ~ spl0_19
    | spl0_127 ),
    inference(avatar_split_clause,[],[f2811,f1201,f698,f1196,f1206]) ).

fof(f4044,plain,
    ( spl0_122
    | spl0_290
    | ~ spl0_26
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2854,f1164,f726,f2111,f1174]) ).

fof(f4062,plain,
    ( ~ spl0_316
    | spl0_186
    | ~ spl0_20
    | ~ spl0_188 ),
    inference(avatar_split_clause,[],[f2823,f1526,f701,f1516,f2336]) ).

fof(f4210,plain,
    ( spl0_208
    | ~ spl0_300
    | ~ spl0_8
    | spl0_209 ),
    inference(avatar_split_clause,[],[f3277,f1638,f656,f2161,f1633]) ).

fof(f4367,plain,
    ( ~ c1_1(a1059)
    | c0_1(a1059)
    | ~ spl0_56
    | spl0_241 ),
    inference(resolution,[],[f852,f1811]) ).

fof(f4377,plain,
    ( ~ c1_1(a1031)
    | c0_1(a1031)
    | ~ spl0_56
    | spl0_186 ),
    inference(resolution,[],[f852,f1518]) ).

fof(f4399,plain,
    ( spl0_316
    | ~ spl0_187
    | ~ spl0_56
    | spl0_186 ),
    inference(avatar_split_clause,[],[f4377,f1516,f851,f1521,f2336]) ).

fof(f4402,plain,
    ( spl0_312
    | ~ spl0_240
    | ~ spl0_56
    | spl0_241 ),
    inference(avatar_split_clause,[],[f4367,f1809,f851,f1804,f2308]) ).

fof(f4420,plain,
    ( ~ spl0_261
    | spl0_302
    | ~ spl0_22
    | spl0_262 ),
    inference(avatar_split_clause,[],[f2511,f1921,f708,f2171,f1916]) ).

fof(f4428,plain,
    ( ~ spl0_118
    | spl0_289
    | ~ spl0_22
    | spl0_119 ),
    inference(avatar_split_clause,[],[f2537,f1158,f708,f2106,f1153]) ).

fof(f4432,plain,
    ( ~ spl0_261
    | ~ spl0_302
    | ~ spl0_55
    | spl0_262 ),
    inference(avatar_split_clause,[],[f3323,f1921,f848,f2171,f1916]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f637]) ).

cnf(s4,plain,
    ( spl0_9
    | ~ spl0_11
    | spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f677]) ).

cnf(s5,plain,
    ( spl0_8
    | spl0_9
    | spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s7,plain,
    ( spl0_19
    | spl0_9
    | spl0_19
    | spl0_20 ),
    inference(sat_conversion,[],[f703]) ).

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,[],[f710]) ).

cnf(s12,plain,
    ( spl0_9
    | spl0_26
    | spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f735]) ).

cnf(s16,plain,
    ( spl0_9
    | spl0_18
    | ~ spl0_34
    | spl0_35 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s17,plain,
    ( spl0_9
    | spl0_36
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s19,plain,
    ( ~ spl0_2
    | spl0_9
    | spl0_18
    | spl0_39 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s20,plain,
    ( spl0_9
    | spl0_13
    | ~ spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f791]) ).

cnf(s22,plain,
    ( spl0_45
    | spl0_46
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f816]) ).

cnf(s23,plain,
    ( spl0_9
    | spl0_26
    | spl0_43
    | spl0_48 ),
    inference(sat_conversion,[],[f820]) ).

cnf(s25,plain,
    ( spl0_9
    | spl0_20
    | spl0_37
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f834]) ).

cnf(s27,plain,
    ( spl0_9
    | spl0_43
    | spl0_55
    | spl0_56 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s30,plain,
    ( spl0_9
    | spl0_22
    | spl0_31
    | spl0_56 ),
    inference(sat_conversion,[],[f874]) ).

cnf(s32,plain,
    ( spl0_9
    | spl0_31
    | spl0_38
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f887]) ).

cnf(s35,plain,
    ( spl0_9
    | spl0_16
    | spl0_33
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s36,plain,
    ( spl0_6
    | spl0_9
    | spl0_58
    | spl0_69 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s38,plain,
    ( spl0_23
    | spl0_72
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s39,plain,
    ( spl0_9
    | spl0_55
    | ~ spl0_74
    | ~ spl0_75 ),
    inference(sat_conversion,[],[f935]) ).

cnf(s45,plain,
    ( spl0_9
    | spl0_19
    | spl0_38
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f960]) ).

cnf(s47,plain,
    ( spl0_9
    | spl0_38
    | spl0_52
    | spl0_72 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s48,plain,
    ( spl0_9
    | spl0_63
    | spl0_69 ),
    inference(sat_conversion,[],[f970]) ).

cnf(s50,plain,
    ( spl0_9
    | spl0_10
    | spl0_85
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f987]) ).

cnf(s53,plain,
    ( spl0_8
    | spl0_9
    | spl0_43
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f990]) ).

cnf(s54,plain,
    ( spl0_9
    | spl0_26
    | spl0_28
    | spl0_33 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s62,plain,
    ( spl0_1
    | spl0_96 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s63,plain,
    ( spl0_1
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f1044]) ).

cnf(s64,plain,
    ( spl0_1
    | spl0_98 ),
    inference(sat_conversion,[],[f1049]) ).

cnf(s65,plain,
    ( spl0_1
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f1050]) ).

cnf(s66,plain,
    ( ~ spl0_3
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f1055]) ).

cnf(s67,plain,
    ( ~ spl0_3
    | spl0_100 ),
    inference(sat_conversion,[],[f1060]) ).

cnf(s68,plain,
    ( ~ spl0_3
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f1065]) ).

cnf(s75,plain,
    ( ~ spl0_12
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f1092]) ).

cnf(s76,plain,
    ( ~ spl0_12
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f1097]) ).

cnf(s82,plain,
    ( spl0_34
    | spl0_111 ),
    inference(sat_conversion,[],[f1119]) ).

cnf(s83,plain,
    ( spl0_34
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1124]) ).

cnf(s84,plain,
    ( spl0_34
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f1129]) ).

cnf(s86,plain,
    ( ~ spl0_36
    | spl0_114 ),
    inference(sat_conversion,[],[f1135]) ).

cnf(s87,plain,
    ( ~ spl0_36
    | spl0_115 ),
    inference(sat_conversion,[],[f1140]) ).

cnf(s88,plain,
    ( ~ spl0_36
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f1145]) ).

cnf(s90,plain,
    ( spl0_2
    | spl0_117 ),
    inference(sat_conversion,[],[f1151]) ).

cnf(s91,plain,
    ( spl0_2
    | spl0_118 ),
    inference(sat_conversion,[],[f1156]) ).

cnf(s92,plain,
    ( spl0_2
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1161]) ).

cnf(s94,plain,
    ( ~ spl0_41
    | spl0_120 ),
    inference(sat_conversion,[],[f1167]) ).

cnf(s95,plain,
    ( ~ spl0_41
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f1172]) ).

cnf(s96,plain,
    ( ~ spl0_41
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1177]) ).

cnf(s102,plain,
    ( spl0_51
    | spl0_126 ),
    inference(sat_conversion,[],[f1199]) ).

cnf(s103,plain,
    ( spl0_51
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f1204]) ).

cnf(s104,plain,
    ( spl0_51
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1209]) ).

cnf(s118,plain,
    ( spl0_64
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f1263]) ).

cnf(s119,plain,
    ( spl0_64
    | spl0_139 ),
    inference(sat_conversion,[],[f1268]) ).

cnf(s120,plain,
    ( spl0_64
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1273]) ).

cnf(s130,plain,
    ( spl0_73
    | spl0_147 ),
    inference(sat_conversion,[],[f1311]) ).

cnf(s131,plain,
    ( spl0_73
    | spl0_148 ),
    inference(sat_conversion,[],[f1316]) ).

cnf(s132,plain,
    ( spl0_73
    | spl0_149 ),
    inference(sat_conversion,[],[f1321]) ).

cnf(s134,plain,
    ( spl0_74
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1327]) ).

cnf(s135,plain,
    ( spl0_74
    | spl0_151 ),
    inference(sat_conversion,[],[f1332]) ).

cnf(s136,plain,
    ( spl0_74
    | spl0_152 ),
    inference(sat_conversion,[],[f1337]) ).

cnf(s139,plain,
    ( spl0_75
    | spl0_154 ),
    inference(sat_conversion,[],[f1348]) ).

cnf(s140,plain,
    ( spl0_75
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f1353]) ).

cnf(s142,plain,
    ( ~ spl0_6
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1359]) ).

cnf(s143,plain,
    ( ~ spl0_6
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1364]) ).

cnf(s144,plain,
    ( ~ spl0_6
    | spl0_158 ),
    inference(sat_conversion,[],[f1369]) ).

cnf(s161,plain,
    ( ~ spl0_9
    | spl0_47 ),
    inference(sat_conversion,[],[f1434]) ).

cnf(s162,plain,
    ( ~ spl0_72
    | ~ spl0_171 ),
    inference(sat_conversion,[],[f1439]) ).

cnf(s163,plain,
    ( ~ spl0_72
    | spl0_172 ),
    inference(sat_conversion,[],[f1444]) ).

cnf(s164,plain,
    ( ~ spl0_72
    | ~ spl0_173 ),
    inference(sat_conversion,[],[f1449]) ).

cnf(s166,plain,
    ( ~ spl0_85
    | spl0_174 ),
    inference(sat_conversion,[],[f1455]) ).

cnf(s167,plain,
    ( ~ spl0_85
    | spl0_175 ),
    inference(sat_conversion,[],[f1460]) ).

cnf(s168,plain,
    ( ~ spl0_85
    | spl0_176 ),
    inference(sat_conversion,[],[f1465]) ).

cnf(s174,plain,
    ( ~ spl0_14
    | spl0_180 ),
    inference(sat_conversion,[],[f1487]) ).

cnf(s175,plain,
    ( ~ spl0_14
    | ~ spl0_181 ),
    inference(sat_conversion,[],[f1492]) ).

cnf(s176,plain,
    ( ~ spl0_14
    | spl0_182 ),
    inference(sat_conversion,[],[f1497]) ).

cnf(s178,plain,
    ( spl0_53
    | spl0_183 ),
    inference(sat_conversion,[],[f1503]) ).

cnf(s179,plain,
    ( spl0_53
    | spl0_184 ),
    inference(sat_conversion,[],[f1508]) ).

cnf(s180,plain,
    ( spl0_53
    | spl0_185 ),
    inference(sat_conversion,[],[f1513]) ).

cnf(s182,plain,
    ( ~ spl0_33
    | ~ spl0_186 ),
    inference(sat_conversion,[],[f1519]) ).

cnf(s183,plain,
    ( ~ spl0_33
    | spl0_187 ),
    inference(sat_conversion,[],[f1524]) ).

cnf(s184,plain,
    ( ~ spl0_33
    | spl0_188 ),
    inference(sat_conversion,[],[f1529]) ).

cnf(s210,plain,
    ( spl0_11
    | ~ spl0_207 ),
    inference(sat_conversion,[],[f1631]) ).

cnf(s211,plain,
    ( spl0_11
    | ~ spl0_208 ),
    inference(sat_conversion,[],[f1636]) ).

cnf(s212,plain,
    ( spl0_11
    | ~ spl0_209 ),
    inference(sat_conversion,[],[f1641]) ).

cnf(s214,plain,
    ( ~ spl0_27
    | spl0_210 ),
    inference(sat_conversion,[],[f1647]) ).

cnf(s215,plain,
    ( ~ spl0_27
    | ~ spl0_211 ),
    inference(sat_conversion,[],[f1652]) ).

cnf(s216,plain,
    ( ~ spl0_27
    | ~ spl0_212 ),
    inference(sat_conversion,[],[f1657]) ).

cnf(s226,plain,
    ( ~ spl0_39
    | spl0_219 ),
    inference(sat_conversion,[],[f1695]) ).

cnf(s227,plain,
    ( ~ spl0_39
    | spl0_220 ),
    inference(sat_conversion,[],[f1700]) ).

cnf(s228,plain,
    ( ~ spl0_39
    | ~ spl0_221 ),
    inference(sat_conversion,[],[f1705]) ).

cnf(s230,plain,
    ( spl0_40
    | ~ spl0_222 ),
    inference(sat_conversion,[],[f1711]) ).

cnf(s231,plain,
    ( spl0_40
    | spl0_223 ),
    inference(sat_conversion,[],[f1716]) ).

cnf(s232,plain,
    ( spl0_40
    | ~ spl0_224 ),
    inference(sat_conversion,[],[f1721]) ).

cnf(s245,plain,
    ( ~ spl0_9
    | ~ spl0_45 ),
    inference(sat_conversion,[],[f1770]) ).

cnf(s249,plain,
    ( ~ spl0_9
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1786]) ).

cnf(s254,plain,
    ( spl0_68
    | spl0_240 ),
    inference(sat_conversion,[],[f1807]) ).

cnf(s255,plain,
    ( spl0_68
    | ~ spl0_241 ),
    inference(sat_conversion,[],[f1812]) ).

cnf(s256,plain,
    ( spl0_68
    | spl0_242 ),
    inference(sat_conversion,[],[f1817]) ).

cnf(s258,plain,
    ( ~ spl0_23
    | spl0_243 ),
    inference(sat_conversion,[],[f1823]) ).

cnf(s259,plain,
    ( ~ spl0_23
    | spl0_244 ),
    inference(sat_conversion,[],[f1828]) ).

cnf(s260,plain,
    ( ~ spl0_23
    | ~ spl0_245 ),
    inference(sat_conversion,[],[f1833]) ).

cnf(s266,plain,
    ( spl0_59
    | ~ spl0_249 ),
    inference(sat_conversion,[],[f1855]) ).

cnf(s267,plain,
    ( spl0_59
    | spl0_250 ),
    inference(sat_conversion,[],[f1860]) ).

cnf(s268,plain,
    ( spl0_59
    | spl0_251 ),
    inference(sat_conversion,[],[f1865]) ).

cnf(s274,plain,
    ( ~ spl0_69
    | ~ spl0_255 ),
    inference(sat_conversion,[],[f1887]) ).

cnf(s275,plain,
    ( ~ spl0_69
    | spl0_256 ),
    inference(sat_conversion,[],[f1892]) ).

cnf(s276,plain,
    ( ~ spl0_69
    | ~ spl0_257 ),
    inference(sat_conversion,[],[f1897]) ).

cnf(s282,plain,
    ( spl0_86
    | spl0_261 ),
    inference(sat_conversion,[],[f1919]) ).

cnf(s283,plain,
    ( spl0_86
    | ~ spl0_262 ),
    inference(sat_conversion,[],[f1924]) ).

cnf(s284,plain,
    ( spl0_86
    | spl0_263 ),
    inference(sat_conversion,[],[f1929]) ).

cnf(s338,plain,
    ( ~ spl0_18
    | ~ spl0_96
    | spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f2208]) ).

cnf(s372,plain,
    ( ~ spl0_26
    | spl0_171
    | ~ spl0_172
    | spl0_173 ),
    inference(sat_conversion,[],[f2468]) ).

cnf(s380,plain,
    ( ~ spl0_26
    | spl0_99
    | ~ spl0_100
    | spl0_101 ),
    inference(sat_conversion,[],[f2480]) ).

cnf(s383,plain,
    ( ~ spl0_10
    | spl0_99
    | ~ spl0_100
    | spl0_305 ),
    inference(sat_conversion,[],[f2494]) ).

cnf(s386,plain,
    ( ~ spl0_28
    | spl0_97
    | ~ spl0_98
    | spl0_304 ),
    inference(sat_conversion,[],[f2553]) ).

cnf(s395,plain,
    ( ~ spl0_37
    | spl0_186
    | ~ spl0_187
    | ~ spl0_188 ),
    inference(sat_conversion,[],[f2623]) ).

cnf(s398,plain,
    ( ~ spl0_38
    | ~ spl0_180
    | ~ spl0_182
    | ~ spl0_297 ),
    inference(sat_conversion,[],[f2636]) ).

cnf(s407,plain,
    ( ~ spl0_20
    | ~ spl0_114
    | ~ spl0_115
    | spl0_116 ),
    inference(sat_conversion,[],[f2648]) ).

cnf(s415,plain,
    ( ~ spl0_16
    | spl0_21
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f2674]) ).

cnf(s443,plain,
    ( ~ spl0_28
    | spl0_138
    | ~ spl0_139
    | spl0_140 ),
    inference(sat_conversion,[],[f2846]) ).

cnf(s450,plain,
    ( ~ spl0_28
    | spl0_121
    | spl0_122
    | ~ spl0_290 ),
    inference(sat_conversion,[],[f2861]) ).

cnf(s465,plain,
    ( ~ spl0_35
    | ~ spl0_183
    | ~ spl0_184
    | ~ spl0_185 ),
    inference(sat_conversion,[],[f3013]) ).

cnf(s466,plain,
    ( ~ spl0_16
    | ~ spl0_183
    | ~ spl0_185
    | spl0_308 ),
    inference(sat_conversion,[],[f3014]) ).

cnf(s470,plain,
    ( ~ spl0_8
    | ~ spl0_16
    | spl0_28 ),
    inference(sat_conversion,[],[f3018]) ).

cnf(s510,plain,
    ( ~ spl0_38
    | ~ spl0_96
    | ~ spl0_98
    | ~ spl0_304 ),
    inference(sat_conversion,[],[f3165]) ).

cnf(s515,plain,
    ( ~ spl0_8
    | ~ spl0_223
    | spl0_224
    | spl0_324 ),
    inference(sat_conversion,[],[f3170]) ).

cnf(s522,plain,
    ( ~ spl0_21
    | spl0_222
    | ~ spl0_223
    | ~ spl0_324 ),
    inference(sat_conversion,[],[f3176]) ).

cnf(s542,plain,
    ( spl0_19
    | ~ spl0_20
    | ~ spl0_48 ),
    inference(sat_conversion,[],[f3196]) ).

cnf(s562,plain,
    ( ~ spl0_55
    | ~ spl0_118
    | spl0_119
    | ~ spl0_289 ),
    inference(sat_conversion,[],[f3367]) ).

cnf(s575,plain,
    ( spl0_13
    | ~ spl0_52
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f3380]) ).

cnf(s576,plain,
    ( spl0_13
    | ~ spl0_38
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f3381]) ).

cnf(s577,plain,
    ( ~ spl0_16
    | spl0_21
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f3382]) ).

cnf(s578,plain,
    ( ~ spl0_26
    | spl0_150
    | ~ spl0_151
    | spl0_322 ),
    inference(sat_conversion,[],[f3391]) ).

cnf(s582,plain,
    ( ~ spl0_8
    | ~ spl0_18
    | ~ spl0_154
    | spl0_155 ),
    inference(sat_conversion,[],[f3398]) ).

cnf(s583,plain,
    ( ~ spl0_13
    | ~ spl0_147
    | ~ spl0_148
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f3399]) ).

cnf(s588,plain,
    ( ~ spl0_20
    | spl0_150
    | ~ spl0_151
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f3404]) ).

cnf(s589,plain,
    ( ~ spl0_37
    | spl0_150
    | ~ spl0_151
    | ~ spl0_322 ),
    inference(sat_conversion,[],[f3405]) ).

cnf(s594,plain,
    ( ~ spl0_13
    | ~ spl0_175
    | ~ spl0_176
    | ~ spl0_295 ),
    inference(sat_conversion,[],[f3430]) ).

cnf(s604,plain,
    ( ~ spl0_38
    | ~ spl0_174
    | ~ spl0_175
    | ~ spl0_295 ),
    inference(sat_conversion,[],[f3447]) ).

cnf(s611,plain,
    ( ~ spl0_58
    | spl0_99
    | spl0_101
    | spl0_305 ),
    inference(sat_conversion,[],[f3578]) ).

cnf(s613,plain,
    ( ~ spl0_58
    | spl0_106
    | spl0_107
    | spl0_318 ),
    inference(sat_conversion,[],[f3580]) ).

cnf(s615,plain,
    ( ~ spl0_58
    | spl0_112
    | spl0_113
    | spl0_330 ),
    inference(sat_conversion,[],[f3582]) ).

cnf(s624,plain,
    ( ~ spl0_58
    | spl0_171
    | spl0_173
    | spl0_307 ),
    inference(sat_conversion,[],[f3591]) ).

cnf(s628,plain,
    ( ~ spl0_58
    | spl0_207
    | spl0_208
    | spl0_300 ),
    inference(sat_conversion,[],[f3595]) ).

cnf(s681,plain,
    ( spl0_21
    | ~ spl0_35
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f3762]) ).

cnf(s682,plain,
    ( ~ spl0_28
    | spl0_255
    | ~ spl0_256
    | spl0_257 ),
    inference(sat_conversion,[],[f3765]) ).

cnf(s688,plain,
    ( ~ spl0_19
    | spl0_181
    | ~ spl0_182
    | spl0_297 ),
    inference(sat_conversion,[],[f3771]) ).

cnf(s703,plain,
    ( ~ spl0_19
    | spl0_150
    | ~ spl0_152
    | spl0_322 ),
    inference(sat_conversion,[],[f3786]) ).

cnf(s709,plain,
    ( ~ spl0_19
    | spl0_99
    | spl0_101
    | ~ spl0_305 ),
    inference(sat_conversion,[],[f3792]) ).

cnf(s719,plain,
    ( ~ spl0_21
    | ~ spl0_184
    | ~ spl0_185
    | spl0_308 ),
    inference(sat_conversion,[],[f3802]) ).

cnf(s742,plain,
    ( ~ spl0_31
    | spl0_211
    | spl0_212
    | ~ spl0_323 ),
    inference(sat_conversion,[],[f3825]) ).

cnf(s786,plain,
    ( ~ spl0_10
    | ~ spl0_96
    | spl0_97
    | spl0_304 ),
    inference(sat_conversion,[],[f3869]) ).

cnf(s802,plain,
    ( ~ spl0_26
    | ~ spl0_111
    | spl0_112
    | spl0_330 ),
    inference(sat_conversion,[],[f3885]) ).

cnf(s809,plain,
    ( ~ spl0_55
    | ~ spl0_210
    | spl0_212
    | ~ spl0_323 ),
    inference(sat_conversion,[],[f3892]) ).

cnf(s815,plain,
    ( ~ spl0_52
    | ~ spl0_183
    | ~ spl0_184
    | ~ spl0_308 ),
    inference(sat_conversion,[],[f3898]) ).

cnf(s816,plain,
    ( ~ spl0_38
    | ~ spl0_183
    | ~ spl0_185
    | ~ spl0_308 ),
    inference(sat_conversion,[],[f3899]) ).

cnf(s820,plain,
    ( ~ spl0_15
    | spl0_186
    | ~ spl0_188
    | spl0_316 ),
    inference(sat_conversion,[],[f3903]) ).

cnf(s833,plain,
    ( ~ spl0_15
    | ~ spl0_220
    | spl0_221
    | spl0_311 ),
    inference(sat_conversion,[],[f3916]) ).

cnf(s836,plain,
    ( ~ spl0_15
    | ~ spl0_31
    | spl0_56 ),
    inference(sat_conversion,[],[f3919]) ).

cnf(s842,plain,
    ( ~ spl0_8
    | ~ spl0_210
    | spl0_212
    | spl0_323 ),
    inference(sat_conversion,[],[f3925]) ).

cnf(s861,plain,
    ( ~ spl0_56
    | spl0_112
    | spl0_113
    | ~ spl0_330 ),
    inference(sat_conversion,[],[f3941]) ).

cnf(s863,plain,
    ( ~ spl0_56
    | spl0_106
    | spl0_107
    | ~ spl0_318 ),
    inference(sat_conversion,[],[f3943]) ).

cnf(s875,plain,
    ( ~ spl0_20
    | ~ spl0_220
    | spl0_221
    | ~ spl0_311 ),
    inference(sat_conversion,[],[f3955]) ).

cnf(s877,plain,
    ( ~ spl0_20
    | spl0_241
    | ~ spl0_242
    | ~ spl0_312 ),
    inference(sat_conversion,[],[f3957]) ).

cnf(s886,plain,
    ( ~ spl0_16
    | ~ spl0_96
    | ~ spl0_98
    | spl0_304 ),
    inference(sat_conversion,[],[f3966]) ).

cnf(s895,plain,
    ( ~ spl0_21
    | ~ spl0_243
    | ~ spl0_244
    | spl0_245 ),
    inference(sat_conversion,[],[f3974]) ).

cnf(s910,plain,
    ( ~ spl0_37
    | ~ spl0_219
    | ~ spl0_220
    | spl0_221 ),
    inference(sat_conversion,[],[f3989]) ).

cnf(s916,plain,
    ( ~ spl0_37
    | ~ spl0_240
    | spl0_241
    | ~ spl0_242 ),
    inference(sat_conversion,[],[f3995]) ).

cnf(s923,plain,
    ( ~ spl0_43
    | ~ spl0_261
    | spl0_262
    | ~ spl0_263 ),
    inference(sat_conversion,[],[f4002]) ).

cnf(s924,plain,
    ( ~ spl0_43
    | spl0_249
    | ~ spl0_250
    | ~ spl0_251 ),
    inference(sat_conversion,[],[f4003]) ).

cnf(s929,plain,
    ( ~ spl0_43
    | ~ spl0_117
    | ~ spl0_118
    | spl0_119 ),
    inference(sat_conversion,[],[f4008]) ).

cnf(s932,plain,
    ( ~ spl0_20
    | ~ spl0_100
    | spl0_101
    | ~ spl0_305 ),
    inference(sat_conversion,[],[f4011]) ).

cnf(s934,plain,
    ( ~ spl0_20
    | ~ spl0_174
    | ~ spl0_175
    | spl0_295 ),
    inference(sat_conversion,[],[f4013]) ).

cnf(s951,plain,
    ( ~ spl0_19
    | spl0_171
    | spl0_173
    | ~ spl0_307 ),
    inference(sat_conversion,[],[f4030]) ).

cnf(s952,plain,
    ( ~ spl0_19
    | spl0_156
    | spl0_157
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f4031]) ).

cnf(s955,plain,
    ( ~ spl0_19
    | ~ spl0_126
    | spl0_127
    | spl0_128 ),
    inference(sat_conversion,[],[f4034]) ).

cnf(s965,plain,
    ( ~ spl0_26
    | ~ spl0_120
    | spl0_122
    | spl0_290 ),
    inference(sat_conversion,[],[f4044]) ).

cnf(s984,plain,
    ( ~ spl0_20
    | spl0_186
    | ~ spl0_188
    | ~ spl0_316 ),
    inference(sat_conversion,[],[f4062]) ).

cnf(s997,plain,
    ( ~ spl0_8
    | spl0_208
    | spl0_209
    | ~ spl0_300 ),
    inference(sat_conversion,[],[f4210]) ).

cnf(s1010,plain,
    ( ~ spl0_56
    | spl0_186
    | ~ spl0_187
    | spl0_316 ),
    inference(sat_conversion,[],[f4399]) ).

cnf(s1013,plain,
    ( ~ spl0_56
    | ~ spl0_240
    | spl0_241
    | spl0_312 ),
    inference(sat_conversion,[],[f4402]) ).

cnf(s1031,plain,
    ( ~ spl0_22
    | ~ spl0_261
    | spl0_262
    | spl0_302 ),
    inference(sat_conversion,[],[f4420]) ).

cnf(s1039,plain,
    ( ~ spl0_22
    | ~ spl0_118
    | spl0_119
    | spl0_289 ),
    inference(sat_conversion,[],[f4428]) ).

cnf(s1043,plain,
    ( ~ spl0_55
    | ~ spl0_261
    | spl0_262
    | ~ spl0_302 ),
    inference(sat_conversion,[],[f4432]) ).

cnf(s1072,plain,
    ( ~ spl0_27
    | ~ spl0_8
    | ~ spl0_31 ),
    inference(rat,[],[s842,s742,s214,s215,s216]) ).

cnf(s1073,plain,
    ( spl0_212
    | ~ spl0_210
    | ~ spl0_8
    | ~ spl0_55 ),
    inference(rat,[],[s809,s842]) ).

cnf(s1074,plain,
    ( spl0_13
    | spl0_72
    | ~ spl0_55
    | spl0_9 ),
    inference(rat,[],[s47,s575,s576]) ).

cnf(s1075,plain,
    ( spl0_20
    | spl0_37
    | spl0_9 ),
    inference(rat,[],[s955,s102,s103,s104,s25,s8]) ).

cnf(s1076,plain,
    ( spl0_73
    | ~ spl0_13 ),
    inference(rat,[],[s583,s130,s131,s132]) ).

cnf(s1077,plain,
    ( ~ spl0_23
    | ~ spl0_21 ),
    inference(rat,[],[s895,s258,s259,s260]) ).

cnf(s1078,plain,
    ( spl0_72
    | spl0_23
    | ~ spl0_55
    | spl0_9 ),
    inference(rat,[],[s1076,s38,s1074]) ).

cnf(s1079,plain,
    ( spl0_19
    | ~ spl0_48
    | spl0_9 ),
    inference(rat,[],[s8,s542]) ).

cnf(s1080,plain,
    ( spl0_28
    | spl0_26
    | ~ spl0_21
    | ~ spl0_31
    | spl0_43
    | spl0_9 ),
    inference(rat,[],[s407,s86,s87,s88,s17,s816,s719,s1075,s178,s179,s180,s395,s53,s182,s183,s184,s1072,s54,s12]) ).

cnf(s1081,plain,
    ( ~ spl0_6
    | ~ spl0_19 ),
    inference(rat,[],[s952,s142,s143,s144]) ).

cnf(s1082,plain,
    ( spl0_56
    | spl0_2
    | spl0_9 ),
    inference(rat,[],[s682,s274,s275,s276,s36,s1081,s1080,s624,s951,s1079,s23,s372,s162,s163,s164,s1078,s1077,s9,s836,s30,s1039,s562,s27,s929,s90,s91,s92]) ).

cnf(s1083,plain,
    ( spl0_34
    | ~ spl0_26
    | ~ spl0_56 ),
    inference(rat,[],[s802,s861,s82,s83,s84]) ).

cnf(s1084,plain,
    ( ~ spl0_33
    | ~ spl0_20
    | ~ spl0_56 ),
    inference(rat,[],[s984,s1010,s182,s183,s184]) ).

cnf(s1085,plain,
    ( spl0_68
    | ~ spl0_20
    | ~ spl0_56 ),
    inference(rat,[],[s1013,s877,s254,s255,s256]) ).

cnf(s1086,plain,
    ( spl0_37
    | ~ spl0_56
    | spl0_1 ),
    inference(rat,[],[s407,s86,s87,s88,s17,s510,s886,s35,s1085,s1084,s1075,s65,s64,s62]) ).

cnf(s1087,plain,
    ( spl0_53
    | ~ spl0_35 ),
    inference(rat,[],[s465,s178,s179,s180]) ).

cnf(s1088,plain,
    ( ~ spl0_69
    | spl0_257
    | ~ spl0_28 ),
    inference(rat,[],[s682,s274,s275]) ).

cnf(s1093,plain,
    ( spl0_40
    | ~ spl0_21
    | ~ spl0_8 ),
    inference(rat,[],[s522,s515,s230,s231,s232]) ).

cnf(s1094,plain,
    ( ~ spl0_41
    | ~ spl0_28
    | ~ spl0_26 ),
    inference(rat,[],[s965,s450,s94,s95,s96]) ).

cnf(s1095,plain,
    ( ~ spl0_21
    | spl0_41
    | ~ spl0_8
    | spl0_72
    | spl0_9 ),
    inference(rat,[],[s1076,s20,s38,s1093,s1077]) ).

cnf(s1096,plain,
    ( ~ spl0_28
    | ~ spl0_8
    | ~ spl0_35
    | ~ spl0_26
    | spl0_72
    | spl0_9 ),
    inference(rat,[],[s1088,s276,s48,s681,s1095,s1094]) ).

cnf(s1097,plain,
    ( spl0_68
    | ~ spl0_37 ),
    inference(rat,[],[s916,s254,s255,s256]) ).

cnf(s1098,plain,
    ( ~ spl0_72
    | ~ spl0_26 ),
    inference(rat,[],[s372,s162,s163,s164]) ).

cnf(s1099,plain,
    ( ~ spl0_33
    | ~ spl0_37 ),
    inference(rat,[],[s395,s182,s183,s184]) ).

cnf(s1100,plain,
    ( ~ spl0_26
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s1096,s470,s53,s1087,s16,s1098,s1083,s338,s62,s63,s64,s929,s90,s91,s92,s35,s1099,s1097,s1086,s1082,s65]) ).

cnf(s1106,plain,
    ( spl0_11
    | ~ spl0_58
    | ~ spl0_8 ),
    inference(rat,[],[s628,s997,s210,s211,s212]) ).

cnf(s1107,plain,
    ( ~ spl0_12
    | ~ spl0_58
    | ~ spl0_56 ),
    inference(rat,[],[s863,s613,s75,s76]) ).

cnf(s1108,plain,
    ( spl0_64
    | ~ spl0_28 ),
    inference(rat,[],[s443,s118,s119,s120]) ).

cnf(s1109,plain,
    ( ~ spl0_58
    | ~ spl0_8
    | spl0_23
    | ~ spl0_19
    | ~ spl0_56
    | spl0_9 ),
    inference(rat,[],[s624,s951,s162,s164,s38,s1076,s4,s1107,s1106]) ).

cnf(s1110,plain,
    ( ~ spl0_69
    | ~ spl0_28 ),
    inference(rat,[],[s1088,s276]) ).

cnf(s1111,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s615,s861,s83,s84,s16,s1087,s53,s1109,s36,s1110,s1077,s415,s32,s1108,s1081,s1079,s54,s23,s1100,s510,s886,s35,s1099,s1097,s1086,s1082,s929,s90,s91,s92,s65,s338,s62,s63,s64]) ).

cnf(s1112,plain,
    ( ~ spl0_36
    | ~ spl0_20 ),
    inference(rat,[],[s407,s86,s87,s88]) ).

cnf(s1116,plain,
    ( spl0_74
    | ~ spl0_20 ),
    inference(rat,[],[s588,s134,s135,s136]) ).

cnf(s1117,plain,
    ( spl0_86
    | ~ spl0_22
    | ~ spl0_55 ),
    inference(rat,[],[s1031,s1043,s282,s283]) ).

cnf(s1118,plain,
    ( ~ spl0_55
    | spl0_72
    | spl0_1 ),
    inference(rat,[],[s934,s594,s166,s167,s168,s50,s1117,s9,s1077,s1078,s1074,s833,s875,s786,s510,s17,s1112,s1075,s910,s226,s227,s228,s19,s1111,s338,s65,s64,s63,s62]) ).

cnf(s1119,plain,
    ( spl0_86
    | ~ spl0_43 ),
    inference(rat,[],[s923,s282,s283,s284]) ).

cnf(s1120,plain,
    ( ~ spl0_85
    | spl0_1 ),
    inference(rat,[],[s604,s934,s166,s167,s17,s1112,s1075,s910,s226,s227,s228,s19,s1111,s338,s62,s63,s64,s65]) ).

cnf(s1121,plain,
    spl0_1,
    inference(rat,[],[s1080,s9,s30,s1098,s1117,s1118,s27,s1119,s50,s1120,s786,s386,s510,s17,s1112,s833,s875,s1086,s1075,s910,s226,s227,s228,s19,s1111,s338,s62,s63,s64,s65]) ).

cnf(s1122,plain,
    ( spl0_43
    | spl0_56
    | spl0_37
    | spl0_9 ),
    inference(rat,[],[s398,s688,s174,s175,s176,s5,s1073,s820,s984,s214,s216,s182,s184,s12,s54,s1110,s36,s1081,s1079,s23,s27,s17,s1112,s380,s611,s932,s67,s1075,s68,s66,s1,s1082,s1121]) ).

cnf(s1123,plain,
    ( ~ spl0_85
    | ~ spl0_38
    | ~ spl0_20 ),
    inference(rat,[],[s604,s934,s166,s167]) ).

cnf(s1124,plain,
    ( ~ spl0_8
    | ~ spl0_34
    | ~ spl0_26
    | ~ spl0_16
    | ~ spl0_74
    | spl0_9 ),
    inference(rat,[],[s582,s139,s140,s39,s577,s16,s1095,s1096,s1094,s470,s1098]) ).

cnf(s1125,plain,
    ( spl0_53
    | ~ spl0_16
    | ~ spl0_38 ),
    inference(rat,[],[s466,s816,s178,s180]) ).

cnf(s1126,plain,
    ( ~ spl0_26
    | ~ spl0_8
    | ~ spl0_16
    | ~ spl0_56
    | ~ spl0_74
    | spl0_9 ),
    inference(rat,[],[s1124,s1083]) ).

cnf(s1127,plain,
    ( spl0_43
    | spl0_37
    | spl0_9 ),
    inference(rat,[],[s615,s861,s83,s84,s16,s582,s139,s140,s39,s577,s681,s1077,s1109,s36,s1081,s1079,s23,s1126,s48,s1110,s470,s53,s1125,s35,s1085,s1084,s1122,s1116,s17,s1112,s1075]) ).

cnf(s1128,plain,
    ( ~ spl0_3
    | ~ spl0_10
    | ~ spl0_20 ),
    inference(rat,[],[s383,s932,s66,s67,s68]) ).

cnf(s1129,plain,
    ( spl0_37
    | spl0_9 ),
    inference(rat,[],[s929,s90,s91,s92,s1,s1128,s50,s1119,s1127,s1123,s17,s1112,s1075,s1121]) ).

cnf(s1130,plain,
    ( spl0_56
    | spl0_43
    | spl0_9 ),
    inference(rat,[],[s36,s624,s1081,s951,s1110,s1079,s162,s164,s54,s23,s1078,s380,s1077,s66,s67,s68,s577,s1,s27,s1082,s35,s1097,s1099,s1129,s1121]) ).

cnf(s1131,plain,
    ( spl0_53
    | spl0_72
    | spl0_9 ),
    inference(rat,[],[s815,s47,s466,s1125,s178,s179,s180,s35,s1097,s1099,s1129]) ).

cnf(s1132,plain,
    ( ~ spl0_26
    | spl0_43
    | spl0_9 ),
    inference(rat,[],[s589,s578,s134,s135,s1126,s53,s1131,s1098,s35,s1097,s1099,s1129,s1130]) ).

cnf(s1133,plain,
    ( spl0_34
    | ~ spl0_58
    | ~ spl0_56 ),
    inference(rat,[],[s615,s861,s83,s84]) ).

cnf(s1134,plain,
    ( ~ spl0_8
    | ~ spl0_74
    | spl0_43
    | spl0_9 ),
    inference(rat,[],[s582,s139,s140,s39,s16,s577,s681,s1077,s1109,s35,s1097,s48,s1133,s36,s1081,s1079,s23,s1110,s54,s1132,s1099,s1129,s1130]) ).

cnf(s1135,plain,
    ( ~ spl0_72
    | ~ spl0_58
    | ~ spl0_19 ),
    inference(rat,[],[s624,s951,s162,s164]) ).

cnf(s1136,plain,
    ( spl0_43
    | spl0_9 ),
    inference(rat,[],[s589,s703,s134,s135,s136,s1134,s53,s1131,s1135,s36,s1081,s1110,s1079,s54,s23,s1132,s1099,s1129]) ).

cnf(s1137,plain,
    ( spl0_59
    | ~ spl0_43 ),
    inference(rat,[],[s924,s266,s267,s268]) ).

cnf(s1138,plain,
    ( ~ spl0_20
    | ~ spl0_3
    | spl0_9 ),
    inference(rat,[],[s1081,s45,s36,s1123,s611,s50,s932,s1128,s1119,s1137,s1136,s1110,s54,s380,s66,s67,s68,s1099,s1129]) ).

cnf(s1139,plain,
    ( ~ spl0_3
    | spl0_9 ),
    inference(rat,[],[s611,s36,s709,s1081,s8,s1138,s1110,s54,s380,s66,s67,s68,s1099,s1129]) ).

cnf(s1140,plain,
    spl0_9,
    inference(rat,[],[s929,s90,s91,s92,s1,s1139,s1136,s1121]) ).

cnf(s1158,plain,
    ~ spl0_46,
    inference(rat,[],[s249,s1140]) ).

cnf(s1159,plain,
    ~ spl0_45,
    inference(rat,[],[s245,s1140]) ).

cnf(s1180,plain,
    spl0_47,
    inference(rat,[],[s161,s1140]) ).

cnf(s1204,plain,
    $false,
    inference(rat,[],[s22,s1159,s1158,s1180]) ).

fof(f4461,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1204]) ).

%------------------------------------------------------------------------------
%----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 SAT
% 0.06/0.17  % Computer : n014.cluster.edu
% 0.06/0.17  % Model    : x86_64 x86_64
% 0.06/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17  % Memory   : 8046.5625MB
% 0.06/0.17  % OS       : Linux 6.8.0-71-generic
% 0.06/0.17  % CPULimit : 300
% 0.06/0.17  % WCLimit  : 300
% 0.06/0.17  % DateTime : Mon Sep 28 16:03:00 UTC 2026
% 0.06/0.17  % CPUTime  : 
% 0.06/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.21  Running first-order model finding
% 0.06/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.32  % (1899480)Will run a generic schedule for satisfiability detection.
% 0.19/0.32  % (1899485)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4024357921_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.32  % (1899486)% WARNING: option uhcvi not known.
% 0.19/0.32  % Detected minimum model sizes of [1]
% 0.19/0.32  % Detected maximum model sizes of [64]
% 0.19/0.32  % TRYING [1]
% 0.19/0.32  % TRYING [2]
% 0.19/0.32  % (1899486)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=987466401:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.32  % (1899487)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3336410249:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.32  % (1899490)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2917666314:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.32  % TRYING [3]
% 0.19/0.32  % (1899488)dis+10_1_sil=32000:sp=arity:random_seed=4163502062:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.32  % (1899489)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3299545123:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.32  % (1899491)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1794878032:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.32  % TRYING [4]
% 0.19/0.32  % (1899491) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1899480-1899491"...
% 0.19/0.32  % TRYING [5]
% 0.19/0.32  % (1899491)...printing done.
% 0.19/0.32  % (1899491)Refutation found. Thanks to Tanya!
% 0.19/0.32  % SZS status Theorem for theBenchmark
% 0.19/0.32  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.32  % (1899491)------------------------------
% 0.19/0.32  % (1899491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.32  % (1899491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.32  % (1899491)CaDiCaL version: 2.1.3
% 0.19/0.32  % (1899491)Termination reason: Refutation
% 0.19/0.32  % (1899491)Time elapsed: 0.059 s
% 0.19/0.32  % (1899491)Peak memory usage: 14 MB
% 0.19/0.32  % (1899491)Instructions burned: 100 (million)
% 0.19/0.32  % (1899480)Success in time 0.102 s
% 0.19/0.32  % Vampire exiting
%------------------------------------------------------------------------------