↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYN436+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:50:39 PM UTC 2026

% Result   : Theorem 1.53s 1.14s
% Output   : Refutation 3.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :  149
% Syntax   : Number of formulae    :  975 (  19 unt; 148 def)
%            Number of atoms       : 5405 (   0 equ)
%            Maximal formula atoms :  446 (   5 avg)
%            Number of connectives : 7041 (2611   ~;3338   |; 755   &)
%                                         ( 148 <=>; 189  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   74 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  182 ( 181 usr; 178 prp; 0-1 aty)
%            Number of functors    :   28 (  28 usr;  28 con; 0-0 aty)
%            Number of variables   :  502 (   0 sgn 502   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c3_1(a1)
          & ~ c0_1(a1)
          & ~ c2_1(a1) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a2)
          & ~ c0_1(a2)
          & ~ c3_1(a2) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a4)
          & ~ c2_1(a4)
          & ~ c3_1(a4) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c1_1(a5)
          & ~ c2_1(a5)
          & ~ c3_1(a5) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a6)
          & c3_1(a6)
          & ~ c2_1(a6) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c1_1(a7)
          & c3_1(a7)
          & ~ c0_1(a7) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a8)
          & c1_1(a8)
          & ~ c2_1(a8) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a14)
          & c3_1(a14)
          & ~ c2_1(a14) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a15)
          & ~ c1_1(a15)
          & ~ c2_1(a15) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a16)
          & ~ c2_1(a16)
          & ~ c3_1(a16) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a18)
          & c2_1(a18)
          & ~ c3_1(a18) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a19)
          & ~ c1_1(a19)
          & ~ c3_1(a19) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ c0_1(a21)
          & ~ c1_1(a21)
          & ~ c2_1(a21) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ~ c0_1(a22)
          & ~ c2_1(a22)
          & ~ c3_1(a22) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a24)
          & ~ c0_1(a24)
          & ~ c1_1(a24) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a25)
          & c1_1(a25)
          & ~ c3_1(a25) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a30)
          & ~ c0_1(a30)
          & ~ c2_1(a30) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c0_1(a31)
          & c2_1(a31)
          & ~ c1_1(a31) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ c0_1(a32)
          & ~ c1_1(a32)
          & ~ c3_1(a32) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c2_1(a33)
          & c3_1(a33)
          & ~ c0_1(a33) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a37)
          & ~ c0_1(a37)
          & ~ c3_1(a37) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a42)
          & c3_1(a42)
          & ~ c1_1(a42) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a45)
          & ~ c1_1(a45)
          & ~ c3_1(a45) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c3_1(a53)
          & ~ c0_1(a53)
          & ~ c1_1(a53) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a3)
          & c2_1(a3)
          & c3_1(a3) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a9)
          & c1_1(a9)
          & c2_1(a9) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a10)
          & c2_1(a10)
          & c3_1(a10) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a11)
          & c1_1(a11)
          & c3_1(a11) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c2_1(X1)
              | c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c2_1(X2)
              | ~ c3_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | ~ c0_1(X4)
              | ~ c2_1(X4) ) )
        | hskp0 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c3_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | ~ c1_1(X6)
              | ~ c2_1(X6) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | ~ c2_1(X8)
              | ~ c3_1(X8) ) )
        | hskp1 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c3_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | ~ c0_1(X10)
              | ~ c1_1(X10) ) )
        | hskp24 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | ~ c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c3_1(X12)
              | ~ c1_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | ~ c2_1(X13)
              | ~ c3_1(X13) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c2_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | c3_1(X15)
              | ~ c0_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | c3_1(X16)
              | ~ c1_1(X16) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | hskp2
        | hskp3 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c1_1(X19)
              | c2_1(X19)
              | ~ c0_1(X19) ) )
        | hskp4 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c2_1(X20)
              | c3_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c3_1(X21)
              | ~ c2_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | c2_1(X22)
              | c3_1(X22) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c2_1(X23)
              | c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c1_1(X24)
              | c3_1(X24)
              | ~ c0_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c2_1(X25)
              | ~ c1_1(X25)
              | ~ c3_1(X25) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | ~ c1_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | ~ c1_1(X27)
              | ~ c2_1(X27) ) )
        | hskp5 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | ~ c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | ~ c2_1(X29)
              | ~ c3_1(X29) ) )
        | hskp6 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c3_1(X30)
              | ~ c2_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c2_1(X31)
              | c3_1(X31)
              | ~ c1_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c0_1(X32)
              | ~ c1_1(X32)
              | ~ c2_1(X32) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c3_1(X33)
              | ~ c2_1(X33) ) )
        | hskp25
        | hskp26 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | ~ c1_1(X34)
              | ~ c2_1(X34) ) )
        | hskp27
        | hskp26 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | ~ c1_1(X35)
              | ~ c2_1(X35) ) )
        | hskp27
        | hskp7 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | ~ c1_1(X36)
              | ~ c2_1(X36) ) )
        | hskp8
        | hskp9 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | ~ c1_1(X37)
              | ~ c3_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c1_1(X38)
              | c3_1(X38)
              | ~ c0_1(X38) ) )
        | hskp4 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | ~ c1_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | ~ c2_1(X40)
              | ~ c3_1(X40) ) )
        | hskp10 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | ~ c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c3_1(X42)
              | ~ c0_1(X42)
              | ~ c2_1(X42) ) )
        | hskp11 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | ~ c2_1(X43)
              | ~ c3_1(X43) ) )
        | hskp27
        | hskp12 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c1_1(X44)
              | c2_1(X44)
              | ~ c0_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | ~ c0_1(X45)
              | ~ c3_1(X45) ) )
        | hskp13 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | c2_1(X46)
              | ~ c0_1(X46) ) )
        | hskp2
        | hskp14 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | c2_1(X47)
              | ~ c3_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c2_1(X48)
              | ~ c0_1(X48)
              | ~ c3_1(X48) ) )
        | hskp15 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | c3_1(X49)
              | ~ c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | ~ c2_1(X50)
              | ~ c3_1(X50) ) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c3_1(X51)
              | ~ c2_1(X51) ) )
        | hskp6
        | hskp26 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c3_1(X52)
              | ~ c2_1(X52) ) )
        | hskp7 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c2_1(X53)
              | c3_1(X53)
              | ~ c0_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | c3_1(X54)
              | ~ c1_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | ~ c2_1(X55)
              | ~ c3_1(X55) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( c2_1(X56)
              | c3_1(X56)
              | ~ c0_1(X56) ) )
        | hskp26
        | hskp16 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c2_1(X57)
              | ~ c0_1(X57)
              | ~ c3_1(X57) ) )
        | hskp17
        | hskp18 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c2_1(X58)
              | ~ c1_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | ~ c1_1(X59)
              | ~ c2_1(X59) ) )
        | hskp19 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | ~ c1_1(X60)
              | ~ c3_1(X60) ) )
        | hskp9
        | hskp24 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | ~ c0_1(X61)
              | ~ c2_1(X61) ) )
        | hskp26
        | hskp20 )
      & ( ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | ~ c1_1(X62)
              | ~ c2_1(X62) ) )
        | hskp6
        | hskp10 )
      & ( hskp25
        | hskp17
        | hskp21 )
      & ( hskp6
        | hskp26
        | hskp22 )
      & ( hskp17
        | hskp8
        | hskp4 )
      & ( hskp7
        | hskp9
        | hskp13 )
      & ( hskp24
        | hskp23
        | hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c3_1(a1)
            & ~ c0_1(a1)
            & ~ c2_1(a1) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a2)
            & ~ c0_1(a2)
            & ~ c3_1(a2) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a4)
            & ~ c2_1(a4)
            & ~ c3_1(a4) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c1_1(a5)
            & ~ c2_1(a5)
            & ~ c3_1(a5) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a6)
            & c3_1(a6)
            & ~ c2_1(a6) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c1_1(a7)
            & c3_1(a7)
            & ~ c0_1(a7) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a8)
            & c1_1(a8)
            & ~ c2_1(a8) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a14)
            & c3_1(a14)
            & ~ c2_1(a14) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a15)
            & ~ c1_1(a15)
            & ~ c2_1(a15) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a16)
            & ~ c2_1(a16)
            & ~ c3_1(a16) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a18)
            & c2_1(a18)
            & ~ c3_1(a18) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a19)
            & ~ c1_1(a19)
            & ~ c3_1(a19) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c0_1(a21)
            & ~ c1_1(a21)
            & ~ c2_1(a21) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & ~ c0_1(a22)
            & ~ c2_1(a22)
            & ~ c3_1(a22) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a24)
            & ~ c0_1(a24)
            & ~ c1_1(a24) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a25)
            & c1_1(a25)
            & ~ c3_1(a25) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a30)
            & ~ c0_1(a30)
            & ~ c2_1(a30) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c0_1(a31)
            & c2_1(a31)
            & ~ c1_1(a31) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c0_1(a32)
            & ~ c1_1(a32)
            & ~ c3_1(a32) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c2_1(a33)
            & c3_1(a33)
            & ~ c0_1(a33) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a37)
            & ~ c0_1(a37)
            & ~ c3_1(a37) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a42)
            & c3_1(a42)
            & ~ c1_1(a42) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a45)
            & ~ c1_1(a45)
            & ~ c3_1(a45) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c3_1(a53)
            & ~ c0_1(a53)
            & ~ c1_1(a53) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a3)
            & c2_1(a3)
            & c3_1(a3) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a9)
            & c1_1(a9)
            & c2_1(a9) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a10)
            & c2_1(a10)
            & c3_1(a10) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a11)
            & c1_1(a11)
            & c3_1(a11) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c2_1(X1)
                | c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c2_1(X2)
                | ~ c3_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | ~ c0_1(X4)
                | ~ c2_1(X4) ) )
          | hskp0 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | ~ c1_1(X6)
                | ~ c2_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c2_1(X8)
                | ~ c3_1(X8) ) )
          | hskp1 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | ~ c0_1(X10)
                | ~ c1_1(X10) ) )
          | hskp24 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c3_1(X12)
                | ~ c1_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | ~ c2_1(X13)
                | ~ c3_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | c3_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | c3_1(X16)
                | ~ c1_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | hskp2
          | hskp3 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c1_1(X19)
                | c2_1(X19)
                | ~ c0_1(X19) ) )
          | hskp4 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c2_1(X20)
                | c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c3_1(X21)
                | ~ c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | c2_1(X22)
                | c3_1(X22) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c1_1(X24)
                | c3_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | ~ c1_1(X25)
                | ~ c3_1(X25) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | ~ c1_1(X27)
                | ~ c2_1(X27) ) )
          | hskp5 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c2_1(X29)
                | ~ c3_1(X29) ) )
          | hskp6 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c3_1(X30)
                | ~ c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c2_1(X31)
                | c3_1(X31)
                | ~ c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | ~ c1_1(X32)
                | ~ c2_1(X32) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c3_1(X33)
                | ~ c2_1(X33) ) )
          | hskp25
          | hskp26 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | ~ c1_1(X34)
                | ~ c2_1(X34) ) )
          | hskp27
          | hskp26 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c1_1(X35)
                | ~ c2_1(X35) ) )
          | hskp27
          | hskp7 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | ~ c1_1(X36)
                | ~ c2_1(X36) ) )
          | hskp8
          | hskp9 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | ~ c1_1(X37)
                | ~ c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c1_1(X38)
                | c3_1(X38)
                | ~ c0_1(X38) ) )
          | hskp4 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c1_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | ~ c2_1(X40)
                | ~ c3_1(X40) ) )
          | hskp10 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | ~ c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | ~ c0_1(X42)
                | ~ c2_1(X42) ) )
          | hskp11 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | ~ c2_1(X43)
                | ~ c3_1(X43) ) )
          | hskp27
          | hskp12 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | c2_1(X44)
                | ~ c0_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | ~ c0_1(X45)
                | ~ c3_1(X45) ) )
          | hskp13 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c2_1(X46)
                | ~ c0_1(X46) ) )
          | hskp2
          | hskp14 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | c2_1(X47)
                | ~ c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | ~ c0_1(X48)
                | ~ c3_1(X48) ) )
          | hskp15 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c3_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | ~ c2_1(X50)
                | ~ c3_1(X50) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c3_1(X51)
                | ~ c2_1(X51) ) )
          | hskp6
          | hskp26 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c3_1(X52)
                | ~ c2_1(X52) ) )
          | hskp7 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c3_1(X53)
                | ~ c0_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | c3_1(X54)
                | ~ c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | ~ c2_1(X55)
                | ~ c3_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | c3_1(X56)
                | ~ c0_1(X56) ) )
          | hskp26
          | hskp16 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | ~ c0_1(X57)
                | ~ c3_1(X57) ) )
          | hskp17
          | hskp18 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c2_1(X58)
                | ~ c1_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | ~ c1_1(X59)
                | ~ c2_1(X59) ) )
          | hskp19 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | ~ c1_1(X60)
                | ~ c3_1(X60) ) )
          | hskp9
          | hskp24 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | ~ c0_1(X61)
                | ~ c2_1(X61) ) )
          | hskp26
          | hskp20 )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | ~ c1_1(X62)
                | ~ c2_1(X62) ) )
          | hskp6
          | hskp10 )
        & ( hskp25
          | hskp17
          | hskp21 )
        & ( hskp6
          | hskp26
          | hskp22 )
        & ( hskp17
          | hskp8
          | hskp4 )
        & ( hskp7
          | hskp9
          | hskp13 )
        & ( hskp24
          | hskp23
          | hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c3_1(a1)
        & ~ c0_1(a1)
        & ~ c2_1(a1) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2)
        & ~ c0_1(a2)
        & ~ c3_1(a2) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a4)
        & ~ c2_1(a4)
        & ~ c3_1(a4) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c1_1(a5)
        & ~ c2_1(a5)
        & ~ c3_1(a5) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a6)
        & c3_1(a6)
        & ~ c2_1(a6) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a7)
        & c3_1(a7)
        & ~ c0_1(a7) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a8)
        & c1_1(a8)
        & ~ c2_1(a8) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a14)
        & c3_1(a14)
        & ~ c2_1(a14) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a15)
        & ~ c1_1(a15)
        & ~ c2_1(a15) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a16)
        & ~ c2_1(a16)
        & ~ c3_1(a16) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a18)
        & c2_1(a18)
        & ~ c3_1(a18) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a19)
        & ~ c1_1(a19)
        & ~ c3_1(a19) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a21)
        & ~ c1_1(a21)
        & ~ c2_1(a21) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c0_1(a22)
        & ~ c2_1(a22)
        & ~ c3_1(a22) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a24)
        & ~ c0_1(a24)
        & ~ c1_1(a24) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a25)
        & c1_1(a25)
        & ~ c3_1(a25) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a30)
        & ~ c0_1(a30)
        & ~ c2_1(a30) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a31)
        & c2_1(a31)
        & ~ c1_1(a31) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c0_1(a32)
        & ~ c1_1(a32)
        & ~ c3_1(a32) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a33)
        & c3_1(a33)
        & ~ c0_1(a33) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a37)
        & ~ c0_1(a37)
        & ~ c3_1(a37) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a42)
        & c3_1(a42)
        & ~ c1_1(a42) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a45)
        & ~ c1_1(a45)
        & ~ c3_1(a45) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a53)
        & ~ c0_1(a53)
        & ~ c1_1(a53) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a3)
        & c2_1(a3)
        & c3_1(a3) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a9)
        & c1_1(a9)
        & c2_1(a9) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a10)
        & c2_1(a10)
        & c3_1(a10) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a11)
        & c1_1(a11)
        & c3_1(a11) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c2_1(X1)
            | c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c2_1(X2)
            | ~ c3_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c1_1(X4)
            | ~ c0_1(X4)
            | ~ c2_1(X4) ) )
      | hskp0 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c3_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | ~ c1_1(X6)
            | ~ c2_1(X6) ) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c1_1(X8)
            | ~ c2_1(X8)
            | ~ c3_1(X8) ) )
      | hskp1 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c3_1(X10)
            | ~ c0_1(X10)
            | ~ c1_1(X10) ) )
      | hskp24 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | ~ c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c3_1(X12)
            | ~ c1_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c1_1(X13)
            | ~ c2_1(X13)
            | ~ c3_1(X13) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | ~ c2_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c1_1(X15)
            | c3_1(X15)
            | ~ c0_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | c3_1(X16)
            | ~ c1_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c2_1(X17) ) )
      | hskp2
      | hskp3 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c1_1(X19)
            | c2_1(X19)
            | ~ c0_1(X19) ) )
      | hskp4 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c2_1(X20)
            | c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c3_1(X21)
            | ~ c2_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c1_1(X22)
            | c2_1(X22)
            | c3_1(X22) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c2_1(X23)
            | c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c1_1(X24)
            | c3_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c2_1(X25)
            | ~ c1_1(X25)
            | ~ c3_1(X25) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c2_1(X26)
            | ~ c1_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c3_1(X27)
            | ~ c1_1(X27)
            | ~ c2_1(X27) ) )
      | hskp5 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | ~ c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | ~ c2_1(X29)
            | ~ c3_1(X29) ) )
      | hskp6 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c3_1(X30)
            | ~ c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c2_1(X31)
            | c3_1(X31)
            | ~ c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | ~ c1_1(X32)
            | ~ c2_1(X32) ) ) )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c3_1(X33)
            | ~ c2_1(X33) ) )
      | hskp25
      | hskp26 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | ~ c1_1(X34)
            | ~ c2_1(X34) ) )
      | hskp27
      | hskp26 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | ~ c1_1(X35)
            | ~ c2_1(X35) ) )
      | hskp27
      | hskp7 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | ~ c1_1(X36)
            | ~ c2_1(X36) ) )
      | hskp8
      | hskp9 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | ~ c1_1(X37)
            | ~ c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c1_1(X38)
            | c3_1(X38)
            | ~ c0_1(X38) ) )
      | hskp4 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | ~ c1_1(X39)
            | ~ c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | ~ c2_1(X40)
            | ~ c3_1(X40) ) )
      | hskp10 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | ~ c2_1(X41)
            | ~ c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c3_1(X42)
            | ~ c0_1(X42)
            | ~ c2_1(X42) ) )
      | hskp11 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | ~ c2_1(X43)
            | ~ c3_1(X43) ) )
      | hskp27
      | hskp12 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c1_1(X44)
            | c2_1(X44)
            | ~ c0_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | ~ c0_1(X45)
            | ~ c3_1(X45) ) )
      | hskp13 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c2_1(X46)
            | ~ c0_1(X46) ) )
      | hskp2
      | hskp14 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | c2_1(X47)
            | ~ c3_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c2_1(X48)
            | ~ c0_1(X48)
            | ~ c3_1(X48) ) )
      | hskp15 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | c3_1(X49)
            | ~ c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c0_1(X50)
            | ~ c2_1(X50)
            | ~ c3_1(X50) ) ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( c1_1(X51)
            | c3_1(X51)
            | ~ c2_1(X51) ) )
      | hskp6
      | hskp26 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | c3_1(X52)
            | ~ c2_1(X52) ) )
      | hskp7 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c2_1(X53)
            | c3_1(X53)
            | ~ c0_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | c3_1(X54)
            | ~ c1_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | ~ c2_1(X55)
            | ~ c3_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | c3_1(X56)
            | ~ c0_1(X56) ) )
      | hskp26
      | hskp16 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c2_1(X57)
            | ~ c0_1(X57)
            | ~ c3_1(X57) ) )
      | hskp17
      | hskp18 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c2_1(X58)
            | ~ c1_1(X58)
            | ~ c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | ~ c1_1(X59)
            | ~ c2_1(X59) ) )
      | hskp19 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c2_1(X60)
            | ~ c1_1(X60)
            | ~ c3_1(X60) ) )
      | hskp9
      | hskp24 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c3_1(X61)
            | ~ c0_1(X61)
            | ~ c2_1(X61) ) )
      | hskp26
      | hskp20 )
    & ( ! [X62] :
          ( ndr1_0
         => ( ~ c0_1(X62)
            | ~ c1_1(X62)
            | ~ c2_1(X62) ) )
      | hskp6
      | hskp10 )
    & ( hskp25
      | hskp17
      | hskp21 )
    & ( hskp6
      | hskp26
      | hskp22 )
    & ( hskp17
      | hskp8
      | hskp4 )
    & ( hskp7
      | hskp9
      | hskp13 )
    & ( hskp24
      | hskp23
      | hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c3_1(a1)
        & ~ c0_1(a1)
        & ~ c2_1(a1) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2)
        & ~ c0_1(a2)
        & ~ c3_1(a2) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a4)
        & ~ c2_1(a4)
        & ~ c3_1(a4) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c1_1(a5)
        & ~ c2_1(a5)
        & ~ c3_1(a5) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a6)
        & c3_1(a6)
        & ~ c2_1(a6) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a7)
        & c3_1(a7)
        & ~ c0_1(a7) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a8)
        & c1_1(a8)
        & ~ c2_1(a8) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a14)
        & c3_1(a14)
        & ~ c2_1(a14) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a15)
        & ~ c1_1(a15)
        & ~ c2_1(a15) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a16)
        & ~ c2_1(a16)
        & ~ c3_1(a16) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a18)
        & c2_1(a18)
        & ~ c3_1(a18) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a19)
        & ~ c1_1(a19)
        & ~ c3_1(a19) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a21)
        & ~ c1_1(a21)
        & ~ c2_1(a21) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c0_1(a22)
        & ~ c2_1(a22)
        & ~ c3_1(a22) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a24)
        & ~ c0_1(a24)
        & ~ c1_1(a24) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a25)
        & c1_1(a25)
        & ~ c3_1(a25) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a30)
        & ~ c0_1(a30)
        & ~ c2_1(a30) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a31)
        & c2_1(a31)
        & ~ c1_1(a31) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c0_1(a32)
        & ~ c1_1(a32)
        & ~ c3_1(a32) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a33)
        & c3_1(a33)
        & ~ c0_1(a33) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a37)
        & ~ c0_1(a37)
        & ~ c3_1(a37) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a42)
        & c3_1(a42)
        & ~ c1_1(a42) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a45)
        & ~ c1_1(a45)
        & ~ c3_1(a45) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a53)
        & ~ c0_1(a53)
        & ~ c1_1(a53) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a3)
        & c2_1(a3)
        & c3_1(a3) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a9)
        & c1_1(a9)
        & c2_1(a9) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a10)
        & c2_1(a10)
        & c3_1(a10) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a11)
        & c1_1(a11)
        & c3_1(a11) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c2_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c0_1(X6)
          | ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | ~ c2_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c3_1(X10)
          | ~ c0_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c1_1(X13)
          | ~ c2_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | c3_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | c3_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | hskp2
      | hskp3 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c1_1(X19)
          | c2_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c0_1(X21)
          | c3_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c1_1(X24)
          | c3_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c2_1(X25)
          | ~ c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c3_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c3_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c2_1(X31)
          | c3_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | ~ c1_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X33] :
          ( c0_1(X33)
          | c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp25
      | hskp26 )
    & ( ! [X34] :
          ( c0_1(X34)
          | ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | hskp27
      | hskp26 )
    & ( ! [X35] :
          ( c0_1(X35)
          | ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | hskp27
      | hskp7 )
    & ( ! [X36] :
          ( c0_1(X36)
          | ~ c1_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X37] :
          ( c0_1(X37)
          | ~ c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c1_1(X38)
          | c3_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X39] :
          ( c0_1(X39)
          | ~ c1_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X41] :
          ( c0_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | ~ c0_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X43] :
          ( c0_1(X43)
          | ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp27
      | hskp12 )
    & ( ! [X44] :
          ( c1_1(X44)
          | c2_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | ~ c0_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | hskp2
      | hskp14 )
    & ( ! [X47] :
          ( c1_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c2_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X49] :
          ( c1_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( c1_1(X51)
          | c3_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp6
      | hskp26 )
    & ( ! [X52] :
          ( c1_1(X52)
          | c3_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X53] :
          ( c2_1(X53)
          | c3_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c0_1(X55)
          | ~ c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c2_1(X56)
          | c3_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | hskp26
      | hskp16 )
    & ( ! [X57] :
          ( c2_1(X57)
          | ~ c0_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X58] :
          ( c2_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X60] :
          ( c2_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp9
      | hskp24 )
    & ( ! [X61] :
          ( c3_1(X61)
          | ~ c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp26
      | hskp20 )
    & ( ! [X62] :
          ( ~ c0_1(X62)
          | ~ c1_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | hskp6
      | hskp10 )
    & ( hskp25
      | hskp17
      | hskp21 )
    & ( hskp6
      | hskp26
      | hskp22 )
    & ( hskp17
      | hskp8
      | hskp4 )
    & ( hskp7
      | hskp9
      | hskp13 )
    & ( hskp24
      | hskp23
      | hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c3_1(a1)
        & ~ c0_1(a1)
        & ~ c2_1(a1) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2)
        & ~ c0_1(a2)
        & ~ c3_1(a2) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a4)
        & ~ c2_1(a4)
        & ~ c3_1(a4) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c1_1(a5)
        & ~ c2_1(a5)
        & ~ c3_1(a5) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a6)
        & c3_1(a6)
        & ~ c2_1(a6) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a7)
        & c3_1(a7)
        & ~ c0_1(a7) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a8)
        & c1_1(a8)
        & ~ c2_1(a8) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a14)
        & c3_1(a14)
        & ~ c2_1(a14) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a15)
        & ~ c1_1(a15)
        & ~ c2_1(a15) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a16)
        & ~ c2_1(a16)
        & ~ c3_1(a16) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a18)
        & c2_1(a18)
        & ~ c3_1(a18) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a19)
        & ~ c1_1(a19)
        & ~ c3_1(a19) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a21)
        & ~ c1_1(a21)
        & ~ c2_1(a21) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c0_1(a22)
        & ~ c2_1(a22)
        & ~ c3_1(a22) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a24)
        & ~ c0_1(a24)
        & ~ c1_1(a24) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a25)
        & c1_1(a25)
        & ~ c3_1(a25) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a30)
        & ~ c0_1(a30)
        & ~ c2_1(a30) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a31)
        & c2_1(a31)
        & ~ c1_1(a31) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c0_1(a32)
        & ~ c1_1(a32)
        & ~ c3_1(a32) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a33)
        & c3_1(a33)
        & ~ c0_1(a33) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a37)
        & ~ c0_1(a37)
        & ~ c3_1(a37) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a42)
        & c3_1(a42)
        & ~ c1_1(a42) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a45)
        & ~ c1_1(a45)
        & ~ c3_1(a45) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a53)
        & ~ c0_1(a53)
        & ~ c1_1(a53) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a3)
        & c2_1(a3)
        & c3_1(a3) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a9)
        & c1_1(a9)
        & c2_1(a9) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a10)
        & c2_1(a10)
        & c3_1(a10) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a11)
        & c1_1(a11)
        & c3_1(a11) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c2_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c0_1(X6)
          | ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | ~ c2_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c3_1(X10)
          | ~ c0_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c1_1(X13)
          | ~ c2_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | c3_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | c3_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | hskp2
      | hskp3 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c1_1(X19)
          | c2_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c0_1(X21)
          | c3_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c1_1(X24)
          | c3_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c2_1(X25)
          | ~ c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c3_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c3_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c2_1(X31)
          | c3_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | ~ c1_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X33] :
          ( c0_1(X33)
          | c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp25
      | hskp26 )
    & ( ! [X34] :
          ( c0_1(X34)
          | ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | hskp27
      | hskp26 )
    & ( ! [X35] :
          ( c0_1(X35)
          | ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | hskp27
      | hskp7 )
    & ( ! [X36] :
          ( c0_1(X36)
          | ~ c1_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X37] :
          ( c0_1(X37)
          | ~ c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c1_1(X38)
          | c3_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X39] :
          ( c0_1(X39)
          | ~ c1_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X41] :
          ( c0_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | ~ c0_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X43] :
          ( c0_1(X43)
          | ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp27
      | hskp12 )
    & ( ! [X44] :
          ( c1_1(X44)
          | c2_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | ~ c0_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | hskp2
      | hskp14 )
    & ( ! [X47] :
          ( c1_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c2_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X49] :
          ( c1_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( c1_1(X51)
          | c3_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp6
      | hskp26 )
    & ( ! [X52] :
          ( c1_1(X52)
          | c3_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X53] :
          ( c2_1(X53)
          | c3_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c0_1(X55)
          | ~ c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c2_1(X56)
          | c3_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | hskp26
      | hskp16 )
    & ( ! [X57] :
          ( c2_1(X57)
          | ~ c0_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X58] :
          ( c2_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X60] :
          ( c2_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp9
      | hskp24 )
    & ( ! [X61] :
          ( c3_1(X61)
          | ~ c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp26
      | hskp20 )
    & ( ! [X62] :
          ( ~ c0_1(X62)
          | ~ c1_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | hskp6
      | hskp10 )
    & ( hskp25
      | hskp17
      | hskp21 )
    & ( hskp6
      | hskp26
      | hskp22 )
    & ( hskp17
      | hskp8
      | hskp4 )
    & ( hskp7
      | hskp9
      | hskp13 )
    & ( hskp24
      | hskp23
      | hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp24
    | hskp23
    | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp7
    | hskp9
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp17
    | hskp8
    | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp25
    | hskp17
    | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ! [X62] :
      ( ~ c0_1(X62)
      | ~ c1_1(X62)
      | ~ c2_1(X62)
      | ~ ndr1_0
      | hskp6
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ! [X61] :
      ( c3_1(X61)
      | ~ c0_1(X61)
      | ~ c2_1(X61)
      | ~ ndr1_0
      | hskp26
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X60] :
      ( c2_1(X60)
      | ~ c1_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | hskp9
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X58,X59] :
      ( c2_1(X58)
      | ~ c1_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | ~ c0_1(X59)
      | ~ c1_1(X59)
      | ~ c2_1(X59)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X57] :
      ( c2_1(X57)
      | ~ c0_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | hskp17
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X56] :
      ( c2_1(X56)
      | c3_1(X56)
      | ~ c0_1(X56)
      | ~ ndr1_0
      | hskp26
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X54,X55,X53] :
      ( c2_1(X53)
      | c3_1(X53)
      | ~ c0_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | c3_1(X54)
      | ~ c1_1(X54)
      | ~ ndr1_0
      | ~ c0_1(X55)
      | ~ c2_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X52] :
      ( c1_1(X52)
      | c3_1(X52)
      | ~ c2_1(X52)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X50,X49] :
      ( c1_1(X49)
      | c3_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | ~ c0_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X48,X47] :
      ( c1_1(X47)
      | c2_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | c2_1(X48)
      | ~ c0_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X46] :
      ( c1_1(X46)
      | c2_1(X46)
      | ~ c0_1(X46)
      | ~ ndr1_0
      | hskp2
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X44,X45] :
      ( c1_1(X44)
      | c2_1(X44)
      | ~ c0_1(X44)
      | ~ ndr1_0
      | c1_1(X45)
      | ~ c0_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X41,X42] :
      ( c0_1(X41)
      | ~ c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | c3_1(X42)
      | ~ c0_1(X42)
      | ~ c2_1(X42)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X40,X39] :
      ( c0_1(X39)
      | ~ c1_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | ~ c2_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | ~ c1_1(X37)
      | ~ c3_1(X37)
      | ~ ndr1_0
      | c1_1(X38)
      | c3_1(X38)
      | ~ c0_1(X38)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X36] :
      ( c0_1(X36)
      | ~ c1_1(X36)
      | ~ c2_1(X36)
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X34] :
      ( c0_1(X34)
      | ~ c1_1(X34)
      | ~ c2_1(X34)
      | ~ ndr1_0
      | hskp27
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X33] :
      ( c0_1(X33)
      | c3_1(X33)
      | ~ c2_1(X33)
      | ~ ndr1_0
      | hskp25
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X31,X32,X30] :
      ( c0_1(X30)
      | c3_1(X30)
      | ~ c2_1(X30)
      | ~ ndr1_0
      | c2_1(X31)
      | c3_1(X31)
      | ~ c1_1(X31)
      | ~ ndr1_0
      | ~ c0_1(X32)
      | ~ c1_1(X32)
      | ~ c2_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | ~ c1_1(X26)
      | ~ ndr1_0
      | c3_1(X27)
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X24,X25,X23] :
      ( c0_1(X23)
      | c2_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | c1_1(X24)
      | c3_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | c2_1(X25)
      | ~ c1_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X21,X22,X20] :
      ( c0_1(X20)
      | c2_1(X20)
      | c3_1(X20)
      | ~ ndr1_0
      | c0_1(X21)
      | c3_1(X21)
      | ~ c2_1(X21)
      | ~ ndr1_0
      | c1_1(X22)
      | c2_1(X22)
      | c3_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X18,X19] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | c1_1(X19)
      | c2_1(X19)
      | ~ c0_1(X19)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | hskp2
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | c3_1(X12)
      | ~ c1_1(X12)
      | ~ ndr1_0
      | c1_1(X13)
      | ~ c2_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X10,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | c3_1(X10)
      | ~ c0_1(X10)
      | ~ c1_1(X10)
      | ~ ndr1_0
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X8,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | ~ c2_1(X8)
      | ~ c3_1(X8)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X6,X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0
      | c0_1(X6)
      | ~ c1_1(X6)
      | ~ c2_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c1_1(X4)
      | ~ c0_1(X4)
      | ~ c2_1(X4)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | c0_1(X2)
      | c2_1(X2)
      | ~ c3_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ( ~ hskp27
    | c3_1(a11) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ( ~ hskp27
    | c1_1(a11) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ( ~ hskp27
    | c0_1(a11) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ( ~ hskp26
    | c3_1(a10) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ( ~ hskp26
    | c2_1(a10) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ( ~ hskp26
    | c0_1(a10) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ( ~ hskp25
    | c2_1(a9) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ( ~ hskp25
    | c1_1(a9) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ( ~ hskp25
    | c0_1(a9) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ( ~ hskp24
    | c3_1(a3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ( ~ hskp24
    | c2_1(a3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ( ~ hskp24
    | c1_1(a3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ( ~ hskp24
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ( ~ hskp23
    | ~ c1_1(a53) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ( ~ hskp23
    | ~ c0_1(a53) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ( ~ hskp23
    | c3_1(a53) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ( ~ hskp23
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( ~ hskp21
    | c3_1(a42) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( ~ hskp21
    | c2_1(a42) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp20
    | ~ c3_1(a37) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp20
    | ~ c0_1(a37) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp20
    | c1_1(a37) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp19
    | ~ c0_1(a33) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp19
    | c3_1(a33) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp19
    | c2_1(a33) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp18
    | ~ c3_1(a32) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp18
    | ~ c1_1(a32) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp18
    | ~ c0_1(a32) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp17
    | ~ c1_1(a31) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp17
    | c2_1(a31) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp17
    | c0_1(a31) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp16
    | ~ c0_1(a30) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp16
    | c1_1(a30) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp15
    | ~ c3_1(a25) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp15
    | c1_1(a25) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp15
    | c0_1(a25) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp14
    | ~ c1_1(a24) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp14
    | ~ c0_1(a24) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp14
    | c2_1(a24) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp13
    | ~ c3_1(a22) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp13
    | ~ c2_1(a22) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp11
    | ~ c1_1(a19) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp11
    | c2_1(a19) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp10
    | ~ c3_1(a18) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp10
    | c2_1(a18) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp10
    | c0_1(a18) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp9
    | ~ c3_1(a16) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp9
    | ~ c2_1(a16) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp9
    | c0_1(a16) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp8
    | ~ c2_1(a15) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp8
    | ~ c1_1(a15) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp8
    | c0_1(a15) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp7
    | ~ c2_1(a14) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp7
    | c3_1(a14) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp7
    | c0_1(a14) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp6
    | ~ c2_1(a8) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp6
    | c1_1(a8) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp6
    | c0_1(a8) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp5
    | ~ c0_1(a7) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp5
    | c3_1(a7) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp5
    | c1_1(a7) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp4
    | ~ c2_1(a6) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp4
    | c3_1(a6) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp4
    | c1_1(a6) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp3
    | ~ c3_1(a5) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp3
    | ~ c2_1(a5) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp3
    | ~ c1_1(a5) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp2
    | ~ c3_1(a4) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp2
    | ~ c2_1(a4) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp2
    | c1_1(a4) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp1
    | ~ c3_1(a2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp1
    | ~ c0_1(a2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp1
    | c2_1(a2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp0
    | ~ c0_1(a1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp0
    | c3_1(a1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f157,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ! [X58,X59] :
      ( c2_1(X58)
      | ~ c1_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | ~ c0_1(X59)
      | ~ c1_1(X59)
      | ~ c2_1(X59)
      | hskp19 ),
    inference(duplicate_literal_removal,[],[f14]) ).

fof(f159,plain,
    ! [X54,X55,X53] :
      ( c2_1(X53)
      | c3_1(X53)
      | ~ c0_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | c3_1(X54)
      | ~ c1_1(X54)
      | ~ c0_1(X55)
      | ~ c2_1(X55)
      | ~ c3_1(X55) ),
    inference(duplicate_literal_removal,[],[f17]) ).

fof(f160,plain,
    ! [X50,X49] :
      ( c1_1(X49)
      | c3_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | ~ c0_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50) ),
    inference(duplicate_literal_removal,[],[f20]) ).

fof(f161,plain,
    ! [X48,X47] :
      ( c1_1(X47)
      | c2_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | c2_1(X48)
      | ~ c0_1(X48)
      | ~ c3_1(X48)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f21]) ).

fof(f162,plain,
    ! [X44,X45] :
      ( c1_1(X44)
      | c2_1(X44)
      | ~ c0_1(X44)
      | ~ ndr1_0
      | c1_1(X45)
      | ~ c0_1(X45)
      | ~ c3_1(X45)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f163,plain,
    ! [X41,X42] :
      ( c0_1(X41)
      | ~ c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | c3_1(X42)
      | ~ c0_1(X42)
      | ~ c2_1(X42)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f25]) ).

fof(f164,plain,
    ! [X40,X39] :
      ( c0_1(X39)
      | ~ c1_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | ~ c2_1(X40)
      | ~ c3_1(X40)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f26]) ).

fof(f165,plain,
    ! [X38,X37] :
      ( c0_1(X37)
      | ~ c1_1(X37)
      | ~ c3_1(X37)
      | ~ ndr1_0
      | c1_1(X38)
      | c3_1(X38)
      | ~ c0_1(X38)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f166,plain,
    ! [X31,X32,X30] :
      ( c0_1(X30)
      | c3_1(X30)
      | ~ c2_1(X30)
      | ~ ndr1_0
      | c2_1(X31)
      | c3_1(X31)
      | ~ c1_1(X31)
      | ~ c0_1(X32)
      | ~ c1_1(X32)
      | ~ c2_1(X32) ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f168,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | ~ c1_1(X26)
      | ~ ndr1_0
      | c3_1(X27)
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f34]) ).

fof(f169,plain,
    ! [X24,X25,X23] :
      ( c0_1(X23)
      | c2_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | c1_1(X24)
      | c3_1(X24)
      | ~ c0_1(X24)
      | c2_1(X25)
      | ~ c1_1(X25)
      | ~ c3_1(X25) ),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f170,plain,
    ! [X21,X22,X20] :
      ( c0_1(X20)
      | c2_1(X20)
      | c3_1(X20)
      | ~ ndr1_0
      | c0_1(X21)
      | c3_1(X21)
      | ~ c2_1(X21)
      | c1_1(X22)
      | c2_1(X22)
      | c3_1(X22) ),
    inference(duplicate_literal_removal,[],[f36]) ).

fof(f171,plain,
    ! [X18,X19] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | c1_1(X19)
      | c2_1(X19)
      | ~ c0_1(X19)
      | hskp4 ),
    inference(duplicate_literal_removal,[],[f37]) ).

fof(f173,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | c3_1(X12)
      | ~ c1_1(X12)
      | c1_1(X13)
      | ~ c2_1(X13)
      | ~ c3_1(X13) ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f174,plain,
    ! [X10,X9] :
      ( c0_1(X9)
      | c1_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | c3_1(X10)
      | ~ c0_1(X10)
      | ~ c1_1(X10)
      | hskp24 ),
    inference(duplicate_literal_removal,[],[f41]) ).

fof(f175,plain,
    ! [X8,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | ~ c2_1(X8)
      | ~ c3_1(X8)
      | hskp1 ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f176,plain,
    ! [X6,X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0
      | c0_1(X6)
      | ~ c1_1(X6)
      | ~ c2_1(X6) ),
    inference(duplicate_literal_removal,[],[f43]) ).

fof(f177,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c1_1(X4)
      | ~ c0_1(X4)
      | ~ c2_1(X4)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f44]) ).

fof(f178,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | ~ c3_1(X2) ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f180,definition,
    ( spl0_1
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f183,definition,
    ( spl0_2
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f186,definition,
    ( spl0_3
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f188,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f186,f183,f180]) ).

fof(f190,definition,
    ( spl0_4
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f193,definition,
    ( spl0_5
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f196,definition,
    ( spl0_6
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f198,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f7,f196,f193,f190]) ).

fof(f200,definition,
    ( spl0_7
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f203,definition,
    ( spl0_8
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f206,definition,
    ( spl0_9
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f208,plain,
    ( spl0_7
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f8,f206,f203,f200]) ).

fof(f213,definition,
    ( spl0_11
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f216,definition,
    ( spl0_12
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f220,definition,
    ( spl0_13
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f223,definition,
    ( spl0_14
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f225,plain,
    ( spl0_13
    | spl0_9
    | spl0_14 ),
    inference(avatar_split_clause,[],[f10,f223,f206,f220]) ).

fof(f227,definition,
    ( spl0_15
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f230,definition,
    ( spl0_16
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f233,definition,
    ( spl0_17
  <=> ! [X62] :
        ( ~ c0_1(X62)
        | ~ c2_1(X62)
        | ~ c1_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f234,plain,
    ( ! [X62] :
        ( ~ c1_1(X62)
        | ~ c2_1(X62)
        | ~ c0_1(X62) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f235,plain,
    ( spl0_15
    | spl0_12
    | ~ spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f11,f233,f230,f216,f227]) ).

fof(f237,definition,
    ( spl0_18
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f240,definition,
    ( spl0_19
  <=> ! [X61] :
        ( c3_1(X61)
        | ~ c2_1(X61)
        | ~ c0_1(X61) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f241,plain,
    ( ! [X61] :
        ( c3_1(X61)
        | ~ c2_1(X61)
        | ~ c0_1(X61) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f242,plain,
    ( spl0_18
    | spl0_11
    | ~ spl0_16
    | spl0_19 ),
    inference(avatar_split_clause,[],[f12,f240,f230,f213,f237]) ).

fof(f244,definition,
    ( spl0_20
  <=> ! [X60] :
        ( c2_1(X60)
        | ~ c3_1(X60)
        | ~ c1_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f245,plain,
    ( ! [X60] :
        ( ~ c1_1(X60)
        | ~ c3_1(X60)
        | c2_1(X60) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f246,plain,
    ( spl0_3
    | spl0_5
    | ~ spl0_16
    | spl0_20 ),
    inference(avatar_split_clause,[],[f13,f244,f230,f193,f186]) ).

fof(f248,definition,
    ( spl0_21
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f250,plain,
    ( spl0_21
    | spl0_17
    | ~ spl0_16
    | spl0_20 ),
    inference(avatar_split_clause,[],[f158,f244,f230,f233,f248]) ).

fof(f252,definition,
    ( spl0_22
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f255,definition,
    ( spl0_23
  <=> ! [X57] :
        ( c2_1(X57)
        | ~ c3_1(X57)
        | ~ c0_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f256,plain,
    ( ! [X57] :
        ( ~ c3_1(X57)
        | c2_1(X57)
        | ~ c0_1(X57) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f257,plain,
    ( spl0_22
    | spl0_9
    | ~ spl0_16
    | spl0_23 ),
    inference(avatar_split_clause,[],[f15,f255,f230,f206,f252]) ).

fof(f259,definition,
    ( spl0_24
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f262,definition,
    ( spl0_25
  <=> ! [X56] :
        ( c2_1(X56)
        | ~ c0_1(X56)
        | c3_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f263,plain,
    ( ! [X56] :
        ( c3_1(X56)
        | ~ c0_1(X56)
        | c2_1(X56) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f264,plain,
    ( spl0_24
    | spl0_11
    | ~ spl0_16
    | spl0_25 ),
    inference(avatar_split_clause,[],[f16,f262,f230,f213,f259]) ).

fof(f266,definition,
    ( spl0_26
  <=> ! [X55] :
        ( ~ c0_1(X55)
        | ~ c3_1(X55)
        | ~ c2_1(X55) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f267,plain,
    ( ! [X55] :
        ( ~ c3_1(X55)
        | ~ c0_1(X55)
        | ~ c2_1(X55) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f269,definition,
    ( spl0_27
  <=> ! [X54] :
        ( c2_1(X54)
        | ~ c1_1(X54)
        | c3_1(X54) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f270,plain,
    ( ! [X54] :
        ( ~ c1_1(X54)
        | c2_1(X54)
        | c3_1(X54) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f271,plain,
    ( spl0_26
    | spl0_27
    | ~ spl0_16
    | spl0_25 ),
    inference(avatar_split_clause,[],[f159,f262,f230,f269,f266]) ).

fof(f273,definition,
    ( spl0_28
  <=> ! [X52] :
        ( c1_1(X52)
        | ~ c2_1(X52)
        | c3_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f274,plain,
    ( ! [X52] :
        ( c1_1(X52)
        | ~ c2_1(X52)
        | c3_1(X52) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f275,plain,
    ( spl0_6
    | ~ spl0_16
    | spl0_28 ),
    inference(avatar_split_clause,[],[f18,f273,f230,f196]) ).

fof(f277,plain,
    ( spl0_26
    | ~ spl0_16
    | spl0_28 ),
    inference(avatar_split_clause,[],[f160,f273,f230,f266]) ).

fof(f279,definition,
    ( spl0_29
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f282,definition,
    ( spl0_30
  <=> ! [X47] :
        ( c1_1(X47)
        | ~ c3_1(X47)
        | c2_1(X47) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f283,plain,
    ( ! [X47] :
        ( c1_1(X47)
        | ~ c3_1(X47)
        | c2_1(X47) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f284,plain,
    ( spl0_29
    | spl0_23
    | ~ spl0_16
    | spl0_30 ),
    inference(avatar_split_clause,[],[f161,f282,f230,f255,f279]) ).

fof(f286,definition,
    ( spl0_31
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f289,definition,
    ( spl0_32
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f292,definition,
    ( spl0_33
  <=> ! [X46] :
        ( c1_1(X46)
        | ~ c0_1(X46)
        | c2_1(X46) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f293,plain,
    ( ! [X46] :
        ( c1_1(X46)
        | ~ c0_1(X46)
        | c2_1(X46) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f294,plain,
    ( spl0_31
    | spl0_32
    | ~ spl0_16
    | spl0_33 ),
    inference(avatar_split_clause,[],[f22,f292,f230,f289,f286]) ).

fof(f296,definition,
    ( spl0_34
  <=> ! [X45] :
        ( c1_1(X45)
        | ~ c3_1(X45)
        | ~ c0_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f297,plain,
    ( ! [X45] :
        ( c1_1(X45)
        | ~ c3_1(X45)
        | ~ c0_1(X45) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f298,plain,
    ( spl0_4
    | spl0_34
    | ~ spl0_16
    | spl0_33 ),
    inference(avatar_split_clause,[],[f162,f292,f230,f296,f190]) ).

fof(f303,definition,
    ( spl0_36
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f306,definition,
    ( spl0_37
  <=> ! [X43] :
        ( c0_1(X43)
        | ~ c3_1(X43)
        | ~ c2_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f307,plain,
    ( ! [X43] :
        ( ~ c3_1(X43)
        | c0_1(X43)
        | ~ c2_1(X43) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f310,definition,
    ( spl0_38
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f312,plain,
    ( spl0_38
    | spl0_19
    | ~ spl0_16
    | spl0_37 ),
    inference(avatar_split_clause,[],[f163,f306,f230,f240,f310]) ).

fof(f314,definition,
    ( spl0_39
  <=> ! [X40] :
        ( c1_1(X40)
        | ~ c3_1(X40)
        | ~ c2_1(X40) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f315,plain,
    ( ! [X40] :
        ( c1_1(X40)
        | ~ c3_1(X40)
        | ~ c2_1(X40) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f317,definition,
    ( spl0_40
  <=> ! [X39] :
        ( c0_1(X39)
        | ~ c3_1(X39)
        | ~ c1_1(X39) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f318,plain,
    ( ! [X39] :
        ( ~ c1_1(X39)
        | ~ c3_1(X39)
        | c0_1(X39) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f319,plain,
    ( spl0_15
    | spl0_39
    | ~ spl0_16
    | spl0_40 ),
    inference(avatar_split_clause,[],[f164,f317,f230,f314,f227]) ).

fof(f321,definition,
    ( spl0_41
  <=> ! [X38] :
        ( c1_1(X38)
        | ~ c0_1(X38)
        | c3_1(X38) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f322,plain,
    ( ! [X38] :
        ( c1_1(X38)
        | ~ c0_1(X38)
        | c3_1(X38) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f321]) ).

fof(f323,plain,
    ( spl0_7
    | spl0_41
    | ~ spl0_16
    | spl0_40 ),
    inference(avatar_split_clause,[],[f165,f317,f230,f321,f200]) ).

fof(f325,definition,
    ( spl0_42
  <=> ! [X36] :
        ( c0_1(X36)
        | ~ c2_1(X36)
        | ~ c1_1(X36) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f326,plain,
    ( ! [X36] :
        ( ~ c1_1(X36)
        | ~ c2_1(X36)
        | c0_1(X36) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f327,plain,
    ( spl0_5
    | spl0_8
    | ~ spl0_16
    | spl0_42 ),
    inference(avatar_split_clause,[],[f28,f325,f230,f203,f193]) ).

fof(f329,plain,
    ( spl0_11
    | spl0_36
    | ~ spl0_16
    | spl0_42 ),
    inference(avatar_split_clause,[],[f30,f325,f230,f303,f213]) ).

fof(f331,definition,
    ( spl0_43
  <=> ! [X33] :
        ( c0_1(X33)
        | ~ c2_1(X33)
        | c3_1(X33) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f332,plain,
    ( ! [X33] :
        ( c3_1(X33)
        | ~ c2_1(X33)
        | c0_1(X33) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f333,plain,
    ( spl0_11
    | spl0_14
    | ~ spl0_16
    | spl0_43 ),
    inference(avatar_split_clause,[],[f31,f331,f230,f223,f213]) ).

fof(f334,plain,
    ( spl0_17
    | spl0_27
    | ~ spl0_16
    | spl0_43 ),
    inference(avatar_split_clause,[],[f166,f331,f230,f269,f233]) ).

fof(f339,definition,
    ( spl0_45
  <=> ! [X28] :
        ( c0_1(X28)
        | ~ c3_1(X28)
        | c2_1(X28) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f340,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | c0_1(X28)
        | c2_1(X28) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f343,definition,
    ( spl0_46
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f346,definition,
    ( spl0_47
  <=> ! [X27] :
        ( c3_1(X27)
        | ~ c2_1(X27)
        | ~ c1_1(X27) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f347,plain,
    ( ! [X27] :
        ( ~ c1_1(X27)
        | ~ c2_1(X27)
        | c3_1(X27) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f349,definition,
    ( spl0_48
  <=> ! [X26] :
        ( c0_1(X26)
        | ~ c1_1(X26)
        | c2_1(X26) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f350,plain,
    ( ! [X26] :
        ( ~ c1_1(X26)
        | c0_1(X26)
        | c2_1(X26) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f349]) ).

fof(f351,plain,
    ( spl0_46
    | spl0_47
    | ~ spl0_16
    | spl0_48 ),
    inference(avatar_split_clause,[],[f168,f349,f230,f346,f343]) ).

fof(f353,definition,
    ( spl0_49
  <=> ! [X23] :
        ( c0_1(X23)
        | c3_1(X23)
        | c2_1(X23) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f354,plain,
    ( ! [X23] :
        ( c3_1(X23)
        | c0_1(X23)
        | c2_1(X23) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f355,plain,
    ( spl0_20
    | spl0_41
    | ~ spl0_16
    | spl0_49 ),
    inference(avatar_split_clause,[],[f169,f353,f230,f321,f244]) ).

fof(f357,definition,
    ( spl0_50
  <=> ! [X22] :
        ( c1_1(X22)
        | c3_1(X22)
        | c2_1(X22) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f358,plain,
    ( ! [X22] :
        ( c1_1(X22)
        | c3_1(X22)
        | c2_1(X22) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f359,plain,
    ( spl0_50
    | spl0_43
    | ~ spl0_16
    | spl0_49 ),
    inference(avatar_split_clause,[],[f170,f353,f230,f331,f357]) ).

fof(f361,definition,
    ( spl0_51
  <=> ! [X18] :
        ( c0_1(X18)
        | ~ c3_1(X18)
        | c1_1(X18) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f362,plain,
    ( ! [X18] :
        ( c1_1(X18)
        | ~ c3_1(X18)
        | c0_1(X18) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f363,plain,
    ( spl0_7
    | spl0_33
    | ~ spl0_16
    | spl0_51 ),
    inference(avatar_split_clause,[],[f171,f361,f230,f292,f200]) ).

fof(f365,definition,
    ( spl0_52
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f368,definition,
    ( spl0_53
  <=> ! [X17] :
        ( c0_1(X17)
        | ~ c2_1(X17)
        | c1_1(X17) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f369,plain,
    ( ! [X17] :
        ( c1_1(X17)
        | ~ c2_1(X17)
        | c0_1(X17) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f370,plain,
    ( spl0_52
    | spl0_32
    | ~ spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f38,f368,f230,f289,f365]) ).

fof(f373,definition,
    ( spl0_54
  <=> ! [X12] :
        ( c0_1(X12)
        | ~ c1_1(X12)
        | c3_1(X12) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f374,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | c0_1(X12)
        | c3_1(X12) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f375,plain,
    ( spl0_39
    | spl0_54
    | ~ spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f173,f368,f230,f373,f314]) ).

fof(f377,definition,
    ( spl0_55
  <=> ! [X10] :
        ( c3_1(X10)
        | ~ c1_1(X10)
        | ~ c0_1(X10) ) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f378,plain,
    ( ! [X10] :
        ( ~ c1_1(X10)
        | c3_1(X10)
        | ~ c0_1(X10) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f380,definition,
    ( spl0_56
  <=> ! [X9] :
        ( c0_1(X9)
        | c3_1(X9)
        | c1_1(X9) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f381,plain,
    ( ! [X9] :
        ( c1_1(X9)
        | c3_1(X9)
        | c0_1(X9) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f382,plain,
    ( spl0_3
    | spl0_55
    | ~ spl0_16
    | spl0_56 ),
    inference(avatar_split_clause,[],[f174,f380,f230,f377,f186]) ).

fof(f384,definition,
    ( spl0_57
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f386,plain,
    ( spl0_57
    | spl0_39
    | ~ spl0_16
    | spl0_56 ),
    inference(avatar_split_clause,[],[f175,f380,f230,f314,f384]) ).

fof(f387,plain,
    ( spl0_42
    | ~ spl0_16
    | spl0_56 ),
    inference(avatar_split_clause,[],[f176,f380,f230,f325]) ).

fof(f389,definition,
    ( spl0_58
  <=> ! [X4] :
        ( c1_1(X4)
        | ~ c2_1(X4)
        | ~ c0_1(X4) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f390,plain,
    ( ! [X4] :
        ( c1_1(X4)
        | ~ c2_1(X4)
        | ~ c0_1(X4) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f392,definition,
    ( spl0_59
  <=> ! [X3] :
        ( c0_1(X3)
        | c2_1(X3)
        | c1_1(X3) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f393,plain,
    ( ! [X3] :
        ( c1_1(X3)
        | c2_1(X3)
        | c0_1(X3) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f394,plain,
    ( spl0_1
    | spl0_58
    | ~ spl0_16
    | spl0_59 ),
    inference(avatar_split_clause,[],[f177,f392,f230,f389,f180]) ).

fof(f395,plain,
    ( spl0_45
    | spl0_49
    | ~ spl0_16
    | spl0_59 ),
    inference(avatar_split_clause,[],[f178,f392,f230,f353,f339]) ).

fof(f397,definition,
    ( spl0_60
  <=> c3_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f398,plain,
    ( c3_1(a11)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f400,plain,
    ( spl0_60
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f46,f303,f397]) ).

fof(f402,definition,
    ( spl0_61
  <=> c1_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f403,plain,
    ( c1_1(a11)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f404,plain,
    ( spl0_61
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f47,f303,f402]) ).

fof(f406,definition,
    ( spl0_62
  <=> c0_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f408,plain,
    ( spl0_62
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f48,f303,f406]) ).

fof(f412,definition,
    ( spl0_63
  <=> c3_1(a10) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f413,plain,
    ( c3_1(a10)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f415,plain,
    ( spl0_63
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f50,f213,f412]) ).

fof(f417,definition,
    ( spl0_64
  <=> c2_1(a10) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f419,plain,
    ( spl0_64
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f51,f213,f417]) ).

fof(f421,definition,
    ( spl0_65
  <=> c0_1(a10) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f423,plain,
    ( spl0_65
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f52,f213,f421]) ).

fof(f426,definition,
    ( spl0_66
  <=> c2_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f429,plain,
    ( spl0_66
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f54,f223,f426]) ).

fof(f431,definition,
    ( spl0_67
  <=> c1_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f432,plain,
    ( c1_1(a9)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f433,plain,
    ( spl0_67
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f55,f223,f431]) ).

fof(f435,definition,
    ( spl0_68
  <=> c0_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f437,plain,
    ( spl0_68
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f56,f223,f435]) ).

fof(f440,definition,
    ( spl0_69
  <=> c3_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f441,plain,
    ( c3_1(a3)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f443,plain,
    ( spl0_69
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f58,f186,f440]) ).

fof(f445,definition,
    ( spl0_70
  <=> c2_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f447,plain,
    ( spl0_70
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f59,f186,f445]) ).

fof(f449,definition,
    ( spl0_71
  <=> c1_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f450,plain,
    ( c1_1(a3)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f451,plain,
    ( spl0_71
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f60,f186,f449]) ).

fof(f452,plain,
    ( spl0_16
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f61,f186,f230]) ).

fof(f454,definition,
    ( spl0_72
  <=> c1_1(a53) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f455,plain,
    ( ~ c1_1(a53)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f457,plain,
    ( ~ spl0_72
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f62,f183,f454]) ).

fof(f459,definition,
    ( spl0_73
  <=> c0_1(a53) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f461,plain,
    ( ~ spl0_73
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f63,f183,f459]) ).

fof(f463,definition,
    ( spl0_74
  <=> c3_1(a53) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f464,plain,
    ( c3_1(a53)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f465,plain,
    ( spl0_74
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f64,f183,f463]) ).

fof(f466,plain,
    ( spl0_16
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f65,f183,f230]) ).

fof(f487,definition,
    ( spl0_79
  <=> c3_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f488,plain,
    ( c3_1(a42)
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f489,plain,
    ( spl0_79
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f71,f220,f487]) ).

fof(f491,definition,
    ( spl0_80
  <=> c2_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f493,plain,
    ( spl0_80
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f72,f220,f491]) ).

fof(f496,definition,
    ( spl0_81
  <=> c3_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f497,plain,
    ( ~ c3_1(a37)
    | spl0_81 ),
    inference(avatar_component_clause,[],[f496]) ).

fof(f499,plain,
    ( ~ spl0_81
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f74,f237,f496]) ).

fof(f501,definition,
    ( spl0_82
  <=> c0_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f503,plain,
    ( ~ spl0_82
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f75,f237,f501]) ).

fof(f505,definition,
    ( spl0_83
  <=> c1_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f506,plain,
    ( c1_1(a37)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f507,plain,
    ( spl0_83
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f76,f237,f505]) ).

fof(f510,definition,
    ( spl0_84
  <=> c0_1(a33) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f513,plain,
    ( ~ spl0_84
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f78,f248,f510]) ).

fof(f515,definition,
    ( spl0_85
  <=> c3_1(a33) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f516,plain,
    ( c3_1(a33)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f517,plain,
    ( spl0_85
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f79,f248,f515]) ).

fof(f519,definition,
    ( spl0_86
  <=> c2_1(a33) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f521,plain,
    ( spl0_86
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f80,f248,f519]) ).

fof(f524,definition,
    ( spl0_87
  <=> c3_1(a32) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f525,plain,
    ( ~ c3_1(a32)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f527,plain,
    ( ~ spl0_87
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f82,f252,f524]) ).

fof(f529,definition,
    ( spl0_88
  <=> c1_1(a32) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f530,plain,
    ( ~ c1_1(a32)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f529]) ).

fof(f531,plain,
    ( ~ spl0_88
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f83,f252,f529]) ).

fof(f533,definition,
    ( spl0_89
  <=> c0_1(a32) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f535,plain,
    ( ~ spl0_89
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f84,f252,f533]) ).

fof(f538,definition,
    ( spl0_90
  <=> c1_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f539,plain,
    ( ~ c1_1(a31)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f538]) ).

fof(f541,plain,
    ( ~ spl0_90
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f86,f206,f538]) ).

fof(f543,definition,
    ( spl0_91
  <=> c2_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f545,plain,
    ( spl0_91
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f87,f206,f543]) ).

fof(f547,definition,
    ( spl0_92
  <=> c0_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f549,plain,
    ( spl0_92
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f88,f206,f547]) ).

fof(f557,definition,
    ( spl0_94
  <=> c0_1(a30) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f559,plain,
    ( ~ spl0_94
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f91,f259,f557]) ).

fof(f561,definition,
    ( spl0_95
  <=> c1_1(a30) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f562,plain,
    ( c1_1(a30)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f563,plain,
    ( spl0_95
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f92,f259,f561]) ).

fof(f566,definition,
    ( spl0_96
  <=> c3_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f569,plain,
    ( ~ spl0_96
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f94,f279,f566]) ).

fof(f571,definition,
    ( spl0_97
  <=> c1_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f572,plain,
    ( c1_1(a25)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f573,plain,
    ( spl0_97
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f95,f279,f571]) ).

fof(f575,definition,
    ( spl0_98
  <=> c0_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f577,plain,
    ( spl0_98
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f96,f279,f575]) ).

fof(f580,definition,
    ( spl0_99
  <=> c1_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f581,plain,
    ( ~ c1_1(a24)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f580]) ).

fof(f583,plain,
    ( ~ spl0_99
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f98,f286,f580]) ).

fof(f585,definition,
    ( spl0_100
  <=> c0_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f587,plain,
    ( ~ spl0_100
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f99,f286,f585]) ).

fof(f589,definition,
    ( spl0_101
  <=> c2_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f591,plain,
    ( spl0_101
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f100,f286,f589]) ).

fof(f594,definition,
    ( spl0_102
  <=> c3_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f595,plain,
    ( ~ c3_1(a22)
    | spl0_102 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f597,plain,
    ( ~ spl0_102
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f102,f190,f594]) ).

fof(f599,definition,
    ( spl0_103
  <=> c2_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f601,plain,
    ( ~ spl0_103
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f103,f190,f599]) ).

fof(f603,definition,
    ( spl0_104
  <=> c0_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f605,plain,
    ( ~ spl0_104
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f104,f190,f603]) ).

fof(f622,definition,
    ( spl0_108
  <=> c3_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f625,plain,
    ( ~ spl0_108
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f110,f310,f622]) ).

fof(f627,definition,
    ( spl0_109
  <=> c1_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f628,plain,
    ( ~ c1_1(a19)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f627]) ).

fof(f629,plain,
    ( ~ spl0_109
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f111,f310,f627]) ).

fof(f631,definition,
    ( spl0_110
  <=> c2_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f633,plain,
    ( spl0_110
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f112,f310,f631]) ).

fof(f636,definition,
    ( spl0_111
  <=> c3_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f637,plain,
    ( ~ c3_1(a18)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f636]) ).

fof(f639,plain,
    ( ~ spl0_111
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f114,f227,f636]) ).

fof(f641,definition,
    ( spl0_112
  <=> c2_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f643,plain,
    ( spl0_112
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f115,f227,f641]) ).

fof(f645,definition,
    ( spl0_113
  <=> c0_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f647,plain,
    ( spl0_113
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f116,f227,f645]) ).

fof(f650,definition,
    ( spl0_114
  <=> c3_1(a16) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f651,plain,
    ( ~ c3_1(a16)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f653,plain,
    ( ~ spl0_114
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f118,f193,f650]) ).

fof(f655,definition,
    ( spl0_115
  <=> c2_1(a16) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f657,plain,
    ( ~ spl0_115
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f119,f193,f655]) ).

fof(f659,definition,
    ( spl0_116
  <=> c0_1(a16) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f661,plain,
    ( spl0_116
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f120,f193,f659]) ).

fof(f664,definition,
    ( spl0_117
  <=> c2_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f667,plain,
    ( ~ spl0_117
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f122,f203,f664]) ).

fof(f669,definition,
    ( spl0_118
  <=> c1_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f670,plain,
    ( ~ c1_1(a15)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f671,plain,
    ( ~ spl0_118
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f123,f203,f669]) ).

fof(f673,definition,
    ( spl0_119
  <=> c0_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f675,plain,
    ( spl0_119
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f124,f203,f673]) ).

fof(f678,definition,
    ( spl0_120
  <=> c2_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f681,plain,
    ( ~ spl0_120
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f126,f196,f678]) ).

fof(f683,definition,
    ( spl0_121
  <=> c3_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f684,plain,
    ( c3_1(a14)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f683]) ).

fof(f685,plain,
    ( spl0_121
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f127,f196,f683]) ).

fof(f687,definition,
    ( spl0_122
  <=> c0_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f689,plain,
    ( spl0_122
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f128,f196,f687]) ).

fof(f692,definition,
    ( spl0_123
  <=> c2_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f695,plain,
    ( ~ spl0_123
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f130,f216,f692]) ).

fof(f697,definition,
    ( spl0_124
  <=> c1_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f698,plain,
    ( c1_1(a8)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f697]) ).

fof(f699,plain,
    ( spl0_124
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f131,f216,f697]) ).

fof(f701,definition,
    ( spl0_125
  <=> c0_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f703,plain,
    ( spl0_125
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f132,f216,f701]) ).

fof(f706,definition,
    ( spl0_126
  <=> c0_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f709,plain,
    ( ~ spl0_126
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f134,f343,f706]) ).

fof(f711,definition,
    ( spl0_127
  <=> c3_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f712,plain,
    ( c3_1(a7)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f713,plain,
    ( spl0_127
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f135,f343,f711]) ).

fof(f715,definition,
    ( spl0_128
  <=> c1_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f716,plain,
    ( c1_1(a7)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f717,plain,
    ( spl0_128
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f136,f343,f715]) ).

fof(f720,definition,
    ( spl0_129
  <=> c2_1(a6) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f723,plain,
    ( ~ spl0_129
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f138,f200,f720]) ).

fof(f725,definition,
    ( spl0_130
  <=> c3_1(a6) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f726,plain,
    ( c3_1(a6)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f727,plain,
    ( spl0_130
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f139,f200,f725]) ).

fof(f729,definition,
    ( spl0_131
  <=> c1_1(a6) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f730,plain,
    ( c1_1(a6)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f731,plain,
    ( spl0_131
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f140,f200,f729]) ).

fof(f734,definition,
    ( spl0_132
  <=> c3_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f735,plain,
    ( ~ c3_1(a5)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f737,plain,
    ( ~ spl0_132
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f142,f365,f734]) ).

fof(f739,definition,
    ( spl0_133
  <=> c2_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f741,plain,
    ( ~ spl0_133
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f143,f365,f739]) ).

fof(f743,definition,
    ( spl0_134
  <=> c1_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f744,plain,
    ( ~ c1_1(a5)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f743]) ).

fof(f745,plain,
    ( ~ spl0_134
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f144,f365,f743]) ).

fof(f748,definition,
    ( spl0_135
  <=> c3_1(a4) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f749,plain,
    ( ~ c3_1(a4)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f751,plain,
    ( ~ spl0_135
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f146,f289,f748]) ).

fof(f753,definition,
    ( spl0_136
  <=> c2_1(a4) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f755,plain,
    ( ~ spl0_136
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f147,f289,f753]) ).

fof(f757,definition,
    ( spl0_137
  <=> c1_1(a4) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f758,plain,
    ( c1_1(a4)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f759,plain,
    ( spl0_137
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f148,f289,f757]) ).

fof(f762,definition,
    ( spl0_138
  <=> c3_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f763,plain,
    ( ~ c3_1(a2)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f765,plain,
    ( ~ spl0_138
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f150,f384,f762]) ).

fof(f767,definition,
    ( spl0_139
  <=> c0_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f769,plain,
    ( ~ spl0_139
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f151,f384,f767]) ).

fof(f771,definition,
    ( spl0_140
  <=> c2_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f773,plain,
    ( spl0_140
    | ~ spl0_57 ),
    inference(avatar_split_clause,[],[f152,f384,f771]) ).

fof(f776,definition,
    ( spl0_141
  <=> c2_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f779,plain,
    ( ~ spl0_141
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f154,f180,f776]) ).

fof(f781,definition,
    ( spl0_142
  <=> c0_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f783,plain,
    ( ~ spl0_142
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f155,f180,f781]) ).

fof(f785,definition,
    ( spl0_143
  <=> c3_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f786,plain,
    ( c3_1(a1)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f785]) ).

fof(f787,plain,
    ( spl0_143
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f156,f180,f785]) ).

fof(f788,plain,
    ( spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f157,f180,f230]) ).

fof(f791,definition,
    ( spl0_144
  <=> c0_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f805,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(resolution,[],[f274,f234]) ).

fof(f808,plain,
    ( ~ c2_1(a31)
    | c3_1(a31)
    | ~ spl0_28
    | spl0_90 ),
    inference(resolution,[],[f274,f539]) ).

fof(f809,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f805]) ).

fof(f812,definition,
    ( spl0_145
  <=> c3_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f813,plain,
    ( c3_1(a31)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f815,plain,
    ( spl0_145
    | ~ spl0_91
    | ~ spl0_28
    | spl0_90 ),
    inference(avatar_split_clause,[],[f808,f538,f273,f543,f812]) ).

fof(f818,plain,
    ( ~ c2_1(a9)
    | ~ c0_1(a9)
    | ~ spl0_17
    | ~ spl0_67 ),
    inference(resolution,[],[f432,f234]) ).

fof(f827,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_27
    | ~ spl0_33 ),
    inference(resolution,[],[f293,f270]) ).

fof(f828,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_33 ),
    inference(resolution,[],[f293,f245]) ).

fof(f833,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_20
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f828]) ).

fof(f834,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_27
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f827]) ).

fof(f842,definition,
    ( spl0_146
  <=> c0_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f845,plain,
    ( spl0_25
    | ~ spl0_27
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f834,f292,f269,f262]) ).

fof(f846,plain,
    ( ~ c2_1(a24)
    | c3_1(a24)
    | ~ spl0_28
    | spl0_99 ),
    inference(resolution,[],[f581,f274]) ).

fof(f848,definition,
    ( spl0_147
  <=> c3_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f849,plain,
    ( c3_1(a24)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f861,plain,
    ( ~ spl0_68
    | ~ spl0_66
    | ~ spl0_17
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f818,f431,f233,f426,f435]) ).

fof(f862,plain,
    ( spl0_19
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f809,f273,f233,f240]) ).

fof(f869,definition,
    ( spl0_148
  <=> c0_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f872,plain,
    ( ~ c2_1(a3)
    | ~ c0_1(a3)
    | ~ spl0_17
    | ~ spl0_71 ),
    inference(resolution,[],[f234,f450]) ).

fof(f874,plain,
    ( ~ c2_1(a9)
    | ~ c0_1(a9)
    | ~ spl0_17
    | ~ spl0_67 ),
    inference(resolution,[],[f234,f432]) ).

fof(f876,plain,
    ( ~ spl0_68
    | ~ spl0_66
    | ~ spl0_17
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f874,f431,f233,f426,f435]) ).

fof(f877,plain,
    ( ~ spl0_144
    | ~ spl0_70
    | ~ spl0_17
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f872,f449,f233,f445,f791]) ).

fof(f880,plain,
    ( ~ c2_1(a18)
    | ~ c0_1(a18)
    | ~ spl0_19
    | spl0_111 ),
    inference(resolution,[],[f241,f637]) ).

fof(f884,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_39 ),
    inference(resolution,[],[f315,f234]) ).

fof(f894,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_39 ),
    inference(duplicate_literal_removal,[],[f884]) ).

fof(f897,plain,
    ( ~ c3_1(a24)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f899,plain,
    ( spl0_26
    | ~ spl0_17
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f894,f314,f233,f266]) ).

fof(f904,definition,
    ( spl0_149
  <=> c3_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f905,plain,
    ( ~ c3_1(a9)
    | spl0_149 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f911,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_28
    | ~ spl0_42 ),
    inference(resolution,[],[f326,f274]) ).

fof(f913,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_28
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f911]) ).

fof(f915,plain,
    ( spl0_43
    | ~ spl0_28
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f913,f325,f273,f331]) ).

fof(f920,definition,
    ( spl0_150
  <=> c2_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).

fof(f934,definition,
    ( spl0_151
  <=> c2_1(a32) ),
    introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).

fof(f937,plain,
    ( ~ c2_1(a32)
    | c3_1(a32)
    | ~ spl0_28
    | spl0_88 ),
    inference(resolution,[],[f530,f274]) ).

fof(f943,plain,
    ( ~ c2_1(a9)
    | ~ c0_1(a9)
    | ~ spl0_19
    | spl0_149 ),
    inference(resolution,[],[f905,f241]) ).

fof(f956,plain,
    ( ~ c3_1(a31)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f964,definition,
    ( spl0_153
  <=> c3_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f982,plain,
    ( c0_1(a1)
    | c2_1(a1)
    | ~ spl0_45
    | ~ spl0_143 ),
    inference(resolution,[],[f340,f786]) ).

fof(f990,plain,
    ( ~ c3_1(a53)
    | c2_1(a53)
    | ~ spl0_30
    | spl0_72 ),
    inference(resolution,[],[f455,f283]) ).

fof(f993,definition,
    ( spl0_154
  <=> c2_1(a53) ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f998,plain,
    ( spl0_154
    | ~ spl0_74
    | ~ spl0_30
    | spl0_72 ),
    inference(avatar_split_clause,[],[f990,f454,f282,f463,f993]) ).

fof(f1003,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_28
    | ~ spl0_47 ),
    inference(resolution,[],[f347,f274]) ).

fof(f1007,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_28
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1003]) ).

fof(f1008,plain,
    ( c3_1(a9)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f1013,definition,
    ( spl0_155
  <=> c2_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1017,plain,
    ( ~ c3_1(a7)
    | c0_1(a7)
    | ~ spl0_40
    | ~ spl0_128 ),
    inference(resolution,[],[f716,f318]) ).

fof(f1021,plain,
    ( spl0_126
    | ~ spl0_127
    | ~ spl0_40
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1017,f715,f317,f711,f706]) ).

fof(f1032,plain,
    ( c0_1(a22)
    | c2_1(a22)
    | ~ spl0_49
    | spl0_102 ),
    inference(resolution,[],[f354,f595]) ).

fof(f1044,plain,
    ( ~ c2_1(a31)
    | ~ c0_1(a31)
    | ~ spl0_19
    | spl0_145 ),
    inference(resolution,[],[f956,f241]) ).

fof(f1048,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_27
    | ~ spl0_41 ),
    inference(resolution,[],[f322,f270]) ).

fof(f1049,plain,
    ( ~ c0_1(a5)
    | c3_1(a5)
    | ~ spl0_41
    | spl0_134 ),
    inference(resolution,[],[f322,f744]) ).

fof(f1050,plain,
    ( ~ c0_1(a15)
    | c3_1(a15)
    | ~ spl0_41
    | spl0_118 ),
    inference(resolution,[],[f322,f670]) ).

fof(f1053,plain,
    ( ~ c0_1(a31)
    | c3_1(a31)
    | ~ spl0_41
    | spl0_90 ),
    inference(resolution,[],[f322,f539]) ).

fof(f1057,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_27
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f1048]) ).

fof(f1059,plain,
    ( spl0_145
    | ~ spl0_92
    | ~ spl0_41
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1053,f538,f321,f547,f812]) ).

fof(f1064,plain,
    ( spl0_25
    | ~ spl0_27
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f1057,f321,f269,f262]) ).

fof(f1068,definition,
    ( spl0_156
  <=> c0_1(a6) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1082,plain,
    ( ~ c0_1(a42)
    | ~ c2_1(a42)
    | ~ spl0_26
    | ~ spl0_79 ),
    inference(resolution,[],[f267,f488]) ).

fof(f1090,plain,
    ( ~ spl0_80
    | ~ spl0_148
    | ~ spl0_26
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1082,f487,f266,f869,f491]) ).

fof(f1093,plain,
    ( ~ c0_1(a16)
    | c2_1(a16)
    | ~ spl0_25
    | spl0_114 ),
    inference(resolution,[],[f263,f651]) ).

fof(f1115,plain,
    ( ~ c3_1(a6)
    | c2_1(a6)
    | ~ spl0_20
    | ~ spl0_131 ),
    inference(resolution,[],[f245,f730]) ).

fof(f1119,plain,
    ( spl0_129
    | ~ spl0_130
    | ~ spl0_20
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1115,f729,f244,f725,f720]) ).

fof(f1166,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_51 ),
    inference(resolution,[],[f362,f245]) ).

fof(f1171,plain,
    ( ~ c3_1(a24)
    | c0_1(a24)
    | ~ spl0_51
    | spl0_99 ),
    inference(resolution,[],[f362,f581]) ).

fof(f1175,plain,
    ( ~ c3_1(a53)
    | c0_1(a53)
    | ~ spl0_51
    | spl0_72 ),
    inference(resolution,[],[f362,f455]) ).

fof(f1177,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f1166]) ).

fof(f1179,plain,
    ( spl0_73
    | ~ spl0_74
    | ~ spl0_51
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1175,f454,f361,f463,f459]) ).

fof(f1182,plain,
    ( spl0_100
    | ~ spl0_147
    | ~ spl0_51
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1171,f580,f361,f848,f585]) ).

fof(f1184,plain,
    ( spl0_23
    | ~ spl0_20
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f833,f292,f244,f255]) ).

fof(f1203,plain,
    ( spl0_45
    | ~ spl0_20
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1177,f361,f244,f339]) ).

fof(f1204,plain,
    ( spl0_141
    | spl0_142
    | ~ spl0_45
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f982,f785,f339,f781,f776]) ).

fof(f1239,plain,
    ( ~ c2_1(a19)
    | c3_1(a19)
    | ~ spl0_28
    | spl0_109 ),
    inference(resolution,[],[f628,f274]) ).

fof(f1257,definition,
    ( spl0_159
  <=> c3_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).

fof(f1258,plain,
    ( ~ c3_1(a8)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f1257]) ).

fof(f1264,definition,
    ( spl0_160
  <=> c0_1(a4) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1277,plain,
    ( c0_1(a42)
    | ~ c2_1(a42)
    | ~ spl0_37
    | ~ spl0_79 ),
    inference(resolution,[],[f307,f488]) ).

fof(f1285,plain,
    ( ~ spl0_80
    | spl0_148
    | ~ spl0_37
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f1277,f487,f306,f869,f491]) ).

fof(f1315,plain,
    ( c3_1(a8)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1257]) ).

fof(f1336,plain,
    ( c0_1(a7)
    | c2_1(a7)
    | ~ spl0_45
    | ~ spl0_127 ),
    inference(resolution,[],[f340,f712]) ).

fof(f1367,plain,
    ( c2_1(a6)
    | ~ c0_1(a6)
    | ~ spl0_23
    | ~ spl0_130 ),
    inference(resolution,[],[f256,f726]) ).

fof(f1369,plain,
    ( c2_1(a14)
    | ~ c0_1(a14)
    | ~ spl0_23
    | ~ spl0_121 ),
    inference(resolution,[],[f256,f684]) ).

fof(f1382,plain,
    ( ~ spl0_122
    | spl0_120
    | ~ spl0_23
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1369,f683,f255,f678,f687]) ).

fof(f1387,plain,
    ( ~ c0_1(a15)
    | c2_1(a15)
    | ~ spl0_33
    | spl0_118 ),
    inference(resolution,[],[f293,f670]) ).

fof(f1401,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_48
    | ~ spl0_50 ),
    inference(resolution,[],[f358,f350]) ).

fof(f1408,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_48
    | ~ spl0_50 ),
    inference(duplicate_literal_removal,[],[f1401]) ).

fof(f1410,plain,
    ( spl0_49
    | ~ spl0_48
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f1408,f357,f349,f353]) ).

fof(f1447,plain,
    ( spl0_117
    | ~ spl0_119
    | ~ spl0_33
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1387,f669,f292,f673,f664]) ).

fof(f1449,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_40
    | ~ spl0_53 ),
    inference(resolution,[],[f369,f318]) ).

fof(f1457,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_40
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f1449]) ).

fof(f1482,plain,
    ( ~ c2_1(a31)
    | ~ c0_1(a31)
    | ~ spl0_58
    | spl0_90 ),
    inference(resolution,[],[f390,f539]) ).

fof(f1487,plain,
    ( ~ spl0_92
    | ~ spl0_91
    | ~ spl0_58
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1482,f538,f389,f543,f547]) ).

fof(f1498,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c0_1(X0) )
    | ~ spl0_40
    | ~ spl0_59 ),
    inference(resolution,[],[f393,f318]) ).

fof(f1500,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_59 ),
    inference(resolution,[],[f393,f245]) ).

fof(f1505,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_20
    | ~ spl0_59 ),
    inference(duplicate_literal_removal,[],[f1500]) ).

fof(f1507,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_40
    | ~ spl0_59 ),
    inference(duplicate_literal_removal,[],[f1498]) ).

fof(f1517,plain,
    ( c2_1(a8)
    | ~ c0_1(a8)
    | ~ spl0_23
    | ~ spl0_159 ),
    inference(resolution,[],[f1315,f256]) ).

fof(f1526,plain,
    ( ~ c2_1(a18)
    | ~ spl0_28
    | ~ spl0_47
    | spl0_111 ),
    inference(resolution,[],[f1007,f637]) ).

fof(f1536,plain,
    ( ~ spl0_112
    | ~ spl0_28
    | ~ spl0_47
    | spl0_111 ),
    inference(avatar_split_clause,[],[f1526,f636,f346,f273,f641]) ).

fof(f1539,plain,
    ( c0_1(a24)
    | ~ c2_1(a24)
    | ~ spl0_37
    | ~ spl0_147 ),
    inference(resolution,[],[f849,f307]) ).

fof(f1545,plain,
    ( ~ c0_1(a8)
    | c2_1(a8)
    | ~ spl0_25
    | spl0_159 ),
    inference(resolution,[],[f1258,f263]) ).

fof(f1570,plain,
    ( ~ spl0_101
    | spl0_100
    | ~ spl0_37
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1539,f848,f306,f585,f589]) ).

fof(f1580,definition,
    ( spl0_161
  <=> c3_1(a30) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1590,plain,
    ( ~ c0_1(a31)
    | ~ c2_1(a31)
    | ~ spl0_26
    | ~ spl0_145 ),
    inference(resolution,[],[f267,f813]) ).

fof(f1592,plain,
    ( ~ c0_1(a3)
    | ~ c2_1(a3)
    | ~ spl0_26
    | ~ spl0_69 ),
    inference(resolution,[],[f267,f441]) ).

fof(f1593,plain,
    ( ~ c0_1(a9)
    | ~ c2_1(a9)
    | ~ spl0_26
    | ~ spl0_149 ),
    inference(resolution,[],[f267,f1008]) ).

fof(f1603,plain,
    ( spl0_123
    | ~ spl0_125
    | ~ spl0_25
    | spl0_159 ),
    inference(avatar_split_clause,[],[f1545,f1257,f262,f701,f692]) ).

fof(f1612,plain,
    ( spl0_37
    | ~ spl0_40
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1457,f368,f317,f306]) ).

fof(f1618,plain,
    ( c2_1(a53)
    | c0_1(a53)
    | ~ spl0_59
    | spl0_72 ),
    inference(resolution,[],[f455,f393]) ).

fof(f1621,plain,
    ( c0_1(a53)
    | c2_1(a53)
    | ~ spl0_45
    | ~ spl0_74 ),
    inference(resolution,[],[f464,f340]) ).

fof(f1659,plain,
    ( ~ spl0_125
    | spl0_123
    | ~ spl0_23
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1517,f1257,f255,f692,f701]) ).

fof(f1675,plain,
    ( spl0_132
    | ~ spl0_146
    | ~ spl0_41
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1049,f743,f321,f842,f734]) ).

fof(f1680,plain,
    ( c2_1(a11)
    | ~ c0_1(a11)
    | ~ spl0_23
    | ~ spl0_60 ),
    inference(resolution,[],[f398,f256]) ).

fof(f1683,plain,
    ( ~ spl0_62
    | spl0_150
    | ~ spl0_23
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1680,f397,f255,f920,f406]) ).

fof(f1688,plain,
    ( ~ c3_1(a3)
    | c0_1(a3)
    | ~ spl0_40
    | ~ spl0_71 ),
    inference(resolution,[],[f450,f318]) ).

fof(f1689,plain,
    ( ~ c2_1(a3)
    | c0_1(a3)
    | ~ spl0_42
    | ~ spl0_71 ),
    inference(resolution,[],[f450,f326]) ).

fof(f1691,plain,
    ( spl0_144
    | ~ spl0_69
    | ~ spl0_40
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1688,f449,f317,f440,f791]) ).

fof(f1700,plain,
    ( ~ c0_1(a5)
    | c2_1(a5)
    | ~ spl0_33
    | spl0_134 ),
    inference(resolution,[],[f744,f293]) ).

fof(f1702,plain,
    ( c2_1(a5)
    | c0_1(a5)
    | ~ spl0_59
    | spl0_134 ),
    inference(resolution,[],[f744,f393]) ).

fof(f1703,plain,
    ( spl0_146
    | spl0_133
    | ~ spl0_59
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1702,f743,f392,f739,f842]) ).

fof(f1705,plain,
    ( spl0_133
    | ~ spl0_146
    | ~ spl0_33
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1700,f743,f292,f842,f739]) ).

fof(f1709,plain,
    ( ~ c2_1(a2)
    | c0_1(a2)
    | ~ spl0_43
    | spl0_138 ),
    inference(resolution,[],[f763,f332]) ).

fof(f1712,plain,
    ( spl0_139
    | ~ spl0_140
    | ~ spl0_43
    | spl0_138 ),
    inference(avatar_split_clause,[],[f1709,f762,f331,f771,f767]) ).

fof(f1716,plain,
    ( ~ c0_1(a4)
    | c2_1(a4)
    | ~ spl0_25
    | spl0_135 ),
    inference(resolution,[],[f263,f749]) ).

fof(f1734,plain,
    ( c0_1(a3)
    | ~ c2_1(a3)
    | ~ spl0_37
    | ~ spl0_69 ),
    inference(resolution,[],[f307,f441]) ).

fof(f1739,plain,
    ( ~ spl0_70
    | spl0_144
    | ~ spl0_37
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1734,f440,f306,f791,f445]) ).

fof(f1751,plain,
    ( ~ c3_1(a8)
    | c2_1(a8)
    | ~ spl0_20
    | ~ spl0_124 ),
    inference(resolution,[],[f245,f698]) ).

fof(f1754,plain,
    ( ~ c3_1(a11)
    | c2_1(a11)
    | ~ spl0_20
    | ~ spl0_61 ),
    inference(resolution,[],[f245,f403]) ).

fof(f1757,plain,
    ( spl0_150
    | ~ spl0_60
    | ~ spl0_20
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1754,f402,f244,f397,f920]) ).

fof(f1759,plain,
    ( spl0_123
    | ~ spl0_159
    | ~ spl0_20
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1751,f697,f244,f1257,f692]) ).

fof(f1773,plain,
    ( c0_1(a4)
    | c2_1(a4)
    | ~ spl0_48
    | ~ spl0_137 ),
    inference(resolution,[],[f350,f758]) ).

fof(f1781,plain,
    ( spl0_136
    | spl0_160
    | ~ spl0_48
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1773,f757,f349,f1264,f753]) ).

fof(f1788,plain,
    ( ~ c2_1(a53)
    | c0_1(a53)
    | ~ spl0_53
    | spl0_72 ),
    inference(resolution,[],[f369,f455]) ).

fof(f1797,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_54
    | ~ spl0_59 ),
    inference(resolution,[],[f374,f393]) ).

fof(f1802,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_54
    | ~ spl0_59 ),
    inference(duplicate_literal_removal,[],[f1797]) ).

fof(f1807,plain,
    ( spl0_49
    | ~ spl0_54
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1802,f392,f373,f353]) ).

fof(f1809,plain,
    ( ~ c2_1(a24)
    | c0_1(a24)
    | ~ spl0_43
    | spl0_147 ),
    inference(resolution,[],[f897,f332]) ).

fof(f1810,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_48
    | ~ spl0_56 ),
    inference(resolution,[],[f381,f350]) ).

fof(f1819,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_48
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f1810]) ).

fof(f1820,plain,
    ( spl0_49
    | ~ spl0_48
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1819,f380,f349,f353]) ).

fof(f1830,plain,
    ( spl0_73
    | spl0_154
    | ~ spl0_59
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1618,f454,f392,f993,f459]) ).

fof(f1836,plain,
    ( spl0_45
    | ~ spl0_40
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1507,f392,f317,f339]) ).

fof(f1837,plain,
    ( spl0_45
    | ~ spl0_20
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f1505,f392,f244,f339]) ).

fof(f1842,plain,
    ( ~ spl0_91
    | ~ spl0_92
    | ~ spl0_26
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1590,f812,f266,f547,f543]) ).

fof(f1844,plain,
    ( ~ spl0_70
    | ~ spl0_144
    | ~ spl0_26
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1592,f440,f266,f791,f445]) ).

fof(f1847,plain,
    ( spl0_103
    | spl0_104
    | ~ spl0_49
    | spl0_102 ),
    inference(avatar_split_clause,[],[f1032,f594,f353,f603,f599]) ).

fof(f1855,plain,
    ( ~ spl0_156
    | spl0_129
    | ~ spl0_23
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1367,f725,f255,f720,f1068]) ).

fof(f1856,plain,
    ( ~ spl0_68
    | ~ spl0_66
    | ~ spl0_19
    | spl0_149 ),
    inference(avatar_split_clause,[],[f943,f904,f240,f426,f435]) ).

fof(f1871,plain,
    ( spl0_153
    | ~ spl0_119
    | ~ spl0_41
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1050,f669,f321,f673,f964]) ).

fof(f1878,plain,
    ( spl0_155
    | spl0_126
    | ~ spl0_45
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1336,f711,f339,f706,f1013]) ).

fof(f1882,plain,
    ( spl0_154
    | spl0_73
    | ~ spl0_45
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1621,f463,f339,f459,f993]) ).

fof(f1898,plain,
    ( spl0_87
    | ~ spl0_151
    | ~ spl0_28
    | spl0_88 ),
    inference(avatar_split_clause,[],[f937,f529,f273,f934,f524]) ).

fof(f1909,plain,
    ( ~ c2_1(a32)
    | c3_1(a32)
    | ~ spl0_28
    | spl0_88 ),
    inference(resolution,[],[f530,f274]) ).

fof(f1910,plain,
    ( c3_1(a32)
    | c0_1(a32)
    | ~ spl0_56
    | spl0_88 ),
    inference(resolution,[],[f530,f381]) ).

fof(f1912,plain,
    ( spl0_87
    | ~ spl0_151
    | ~ spl0_28
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1909,f529,f273,f934,f524]) ).

fof(f1935,plain,
    ( spl0_73
    | ~ spl0_154
    | ~ spl0_53
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1788,f454,f368,f993,f459]) ).

fof(f1939,plain,
    ( ~ c2_1(a37)
    | c0_1(a37)
    | ~ spl0_43
    | spl0_81 ),
    inference(resolution,[],[f497,f332]) ).

fof(f1942,definition,
    ( spl0_163
  <=> c2_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1965,plain,
    ( ~ c0_1(a10)
    | ~ c2_1(a10)
    | ~ spl0_26
    | ~ spl0_63 ),
    inference(resolution,[],[f267,f413]) ).

fof(f1966,plain,
    ( ~ c0_1(a11)
    | ~ c2_1(a11)
    | ~ spl0_26
    | ~ spl0_60 ),
    inference(resolution,[],[f267,f398]) ).

fof(f1968,plain,
    ( ~ spl0_150
    | ~ spl0_62
    | ~ spl0_26
    | ~ spl0_60 ),
    inference(avatar_split_clause,[],[f1966,f397,f266,f406,f920]) ).

fof(f1969,plain,
    ( ~ spl0_64
    | ~ spl0_65
    | ~ spl0_26
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1965,f412,f266,f421,f417]) ).

fof(f1975,plain,
    ( ~ c3_1(a15)
    | ~ c0_1(a15)
    | ~ spl0_34
    | spl0_118 ),
    inference(resolution,[],[f297,f670]) ).

fof(f1977,plain,
    ( ~ c3_1(a31)
    | ~ c0_1(a31)
    | ~ spl0_34
    | spl0_90 ),
    inference(resolution,[],[f297,f539]) ).

fof(f1982,plain,
    ( ~ spl0_92
    | ~ spl0_145
    | ~ spl0_34
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1977,f538,f296,f812,f547]) ).

fof(f1984,plain,
    ( ~ spl0_119
    | ~ spl0_153
    | ~ spl0_34
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1975,f669,f296,f964,f673]) ).

fof(f1989,plain,
    ( c0_1(a7)
    | ~ c2_1(a7)
    | ~ spl0_37
    | ~ spl0_127 ),
    inference(resolution,[],[f307,f712]) ).

fof(f1992,plain,
    ( c0_1(a33)
    | ~ c2_1(a33)
    | ~ spl0_37
    | ~ spl0_85 ),
    inference(resolution,[],[f307,f516]) ).

fof(f1998,plain,
    ( ~ spl0_86
    | spl0_84
    | ~ spl0_37
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1992,f515,f306,f510,f519]) ).

fof(f2000,plain,
    ( ~ spl0_155
    | spl0_126
    | ~ spl0_37
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f1989,f711,f306,f706,f1013]) ).

fof(f2005,plain,
    ( ~ c3_1(a31)
    | ~ c2_1(a31)
    | ~ spl0_39
    | spl0_90 ),
    inference(resolution,[],[f315,f539]) ).

fof(f2008,plain,
    ( ~ c3_1(a53)
    | ~ c2_1(a53)
    | ~ spl0_39
    | spl0_72 ),
    inference(resolution,[],[f315,f455]) ).

fof(f2010,plain,
    ( ~ spl0_154
    | ~ spl0_74
    | ~ spl0_39
    | spl0_72 ),
    inference(avatar_split_clause,[],[f2008,f454,f314,f463,f993]) ).

fof(f2011,plain,
    ( ~ spl0_91
    | ~ spl0_145
    | ~ spl0_39
    | spl0_90 ),
    inference(avatar_split_clause,[],[f2005,f538,f314,f812,f543]) ).

fof(f2016,plain,
    ( ~ c3_1(a6)
    | c0_1(a6)
    | ~ spl0_40
    | ~ spl0_131 ),
    inference(resolution,[],[f318,f730]) ).

fof(f2019,plain,
    ( ~ c3_1(a30)
    | c0_1(a30)
    | ~ spl0_40
    | ~ spl0_95 ),
    inference(resolution,[],[f318,f562]) ).

fof(f2024,plain,
    ( spl0_94
    | ~ spl0_161
    | ~ spl0_40
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2019,f561,f317,f1580,f557]) ).

fof(f2025,plain,
    ( spl0_156
    | ~ spl0_130
    | ~ spl0_40
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f2016,f729,f317,f725,f1068]) ).

fof(f2026,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_39
    | ~ spl0_42 ),
    inference(resolution,[],[f326,f315]) ).

fof(f2033,plain,
    ( ~ c2_1(a37)
    | c0_1(a37)
    | ~ spl0_42
    | ~ spl0_83 ),
    inference(resolution,[],[f326,f506]) ).

fof(f2035,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_39
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f2026]) ).

fof(f2056,plain,
    ( c0_1(a5)
    | c2_1(a5)
    | ~ spl0_49
    | spl0_132 ),
    inference(resolution,[],[f354,f735]) ).

fof(f2063,plain,
    ( c0_1(a32)
    | c2_1(a32)
    | ~ spl0_49
    | spl0_87 ),
    inference(resolution,[],[f354,f525]) ).

fof(f2064,plain,
    ( c0_1(a37)
    | c2_1(a37)
    | ~ spl0_49
    | spl0_81 ),
    inference(resolution,[],[f354,f497]) ).

fof(f2072,plain,
    ( spl0_163
    | spl0_82
    | ~ spl0_49
    | spl0_81 ),
    inference(avatar_split_clause,[],[f2064,f496,f353,f501,f1942]) ).

fof(f2073,plain,
    ( spl0_151
    | spl0_89
    | ~ spl0_49
    | spl0_87 ),
    inference(avatar_split_clause,[],[f2063,f524,f353,f533,f934]) ).

fof(f2076,plain,
    ( spl0_133
    | spl0_146
    | ~ spl0_49
    | spl0_132 ),
    inference(avatar_split_clause,[],[f2056,f734,f353,f842,f739]) ).

fof(f2087,plain,
    ( spl0_89
    | spl0_87
    | ~ spl0_56
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1910,f529,f380,f524,f533]) ).

fof(f2089,plain,
    ( ~ c3_1(a24)
    | ~ c2_1(a24)
    | ~ spl0_39
    | spl0_99 ),
    inference(resolution,[],[f581,f315]) ).

fof(f2097,plain,
    ( c2_1(a4)
    | c3_1(a4)
    | ~ spl0_27
    | ~ spl0_137 ),
    inference(resolution,[],[f270,f758]) ).

fof(f2100,plain,
    ( c2_1(a8)
    | c3_1(a8)
    | ~ spl0_27
    | ~ spl0_124 ),
    inference(resolution,[],[f270,f698]) ).

fof(f2103,plain,
    ( c2_1(a37)
    | c3_1(a37)
    | ~ spl0_27
    | ~ spl0_83 ),
    inference(resolution,[],[f270,f506]) ).

fof(f2106,plain,
    ( spl0_81
    | spl0_163
    | ~ spl0_27
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2103,f505,f269,f1942,f496]) ).

fof(f2110,plain,
    ( spl0_159
    | spl0_123
    | ~ spl0_27
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2100,f697,f269,f692,f1257]) ).

fof(f2111,plain,
    ( spl0_135
    | spl0_136
    | ~ spl0_27
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2097,f757,f269,f753,f748]) ).

fof(f2114,plain,
    ( c0_1(a4)
    | c3_1(a4)
    | ~ spl0_54
    | ~ spl0_137 ),
    inference(resolution,[],[f374,f758]) ).

fof(f2119,plain,
    ( c0_1(a30)
    | c3_1(a30)
    | ~ spl0_54
    | ~ spl0_95 ),
    inference(resolution,[],[f374,f562]) ).

fof(f2120,plain,
    ( c0_1(a37)
    | c3_1(a37)
    | ~ spl0_54
    | ~ spl0_83 ),
    inference(resolution,[],[f374,f506]) ).

fof(f2123,plain,
    ( spl0_81
    | spl0_82
    | ~ spl0_54
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2120,f505,f373,f501,f496]) ).

fof(f2124,plain,
    ( spl0_161
    | spl0_94
    | ~ spl0_54
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2119,f561,f373,f557,f1580]) ).

fof(f2125,plain,
    ( spl0_135
    | spl0_160
    | ~ spl0_54
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2114,f757,f373,f1264,f748]) ).

fof(f2133,plain,
    ( c3_1(a25)
    | ~ c0_1(a25)
    | ~ spl0_55
    | ~ spl0_97 ),
    inference(resolution,[],[f378,f572]) ).

fof(f2136,plain,
    ( c3_1(a9)
    | ~ c0_1(a9)
    | ~ spl0_55
    | ~ spl0_67 ),
    inference(resolution,[],[f378,f432]) ).

fof(f2139,plain,
    ( ~ spl0_68
    | spl0_149
    | ~ spl0_55
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2136,f431,f377,f904,f435]) ).

fof(f2140,plain,
    ( ~ spl0_98
    | spl0_96
    | ~ spl0_55
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2133,f571,f377,f566,f575]) ).

fof(f2144,plain,
    ( c3_1(a5)
    | c0_1(a5)
    | ~ spl0_56
    | spl0_134 ),
    inference(resolution,[],[f381,f744]) ).

fof(f2147,plain,
    ( c3_1(a24)
    | c0_1(a24)
    | ~ spl0_56
    | spl0_99 ),
    inference(resolution,[],[f381,f581]) ).

fof(f2153,plain,
    ( spl0_100
    | spl0_147
    | ~ spl0_56
    | spl0_99 ),
    inference(avatar_split_clause,[],[f2147,f580,f380,f848,f585]) ).

fof(f2155,plain,
    ( spl0_146
    | spl0_132
    | ~ spl0_56
    | spl0_134 ),
    inference(avatar_split_clause,[],[f2144,f743,f380,f734,f842]) ).

fof(f2164,plain,
    ( ~ c2_1(a24)
    | c0_1(a24)
    | ~ spl0_53
    | spl0_99 ),
    inference(resolution,[],[f369,f581]) ).

fof(f2169,plain,
    ( spl0_100
    | ~ spl0_101
    | ~ spl0_53
    | spl0_99 ),
    inference(avatar_split_clause,[],[f2164,f580,f368,f589,f585]) ).

fof(f2172,plain,
    ( ~ spl0_113
    | ~ spl0_112
    | ~ spl0_19
    | spl0_111 ),
    inference(avatar_split_clause,[],[f880,f636,f240,f641,f645]) ).

fof(f2173,plain,
    ( ~ spl0_92
    | ~ spl0_91
    | ~ spl0_19
    | spl0_145 ),
    inference(avatar_split_clause,[],[f1044,f812,f240,f543,f547]) ).

fof(f2175,plain,
    ( ~ spl0_101
    | ~ spl0_147
    | ~ spl0_39
    | spl0_99 ),
    inference(avatar_split_clause,[],[f2089,f580,f314,f848,f589]) ).

fof(f2183,plain,
    ( spl0_100
    | ~ spl0_101
    | ~ spl0_43
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1809,f848,f331,f589,f585]) ).

fof(f2184,plain,
    ( ~ spl0_66
    | ~ spl0_68
    | ~ spl0_26
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f1593,f904,f266,f435,f426]) ).

fof(f2187,plain,
    ( spl0_115
    | ~ spl0_116
    | ~ spl0_25
    | spl0_114 ),
    inference(avatar_split_clause,[],[f1093,f650,f262,f659,f655]) ).

fof(f2194,plain,
    ( spl0_136
    | ~ spl0_160
    | ~ spl0_25
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1716,f748,f262,f1264,f753]) ).

fof(f2197,plain,
    ( spl0_147
    | ~ spl0_101
    | ~ spl0_28
    | spl0_99 ),
    inference(avatar_split_clause,[],[f846,f580,f273,f589,f848]) ).

fof(f2199,plain,
    ( spl0_108
    | ~ spl0_110
    | ~ spl0_28
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1239,f627,f273,f631,f622]) ).

fof(f2211,plain,
    ( spl0_144
    | ~ spl0_70
    | ~ spl0_42
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1689,f449,f325,f445,f791]) ).

fof(f2213,plain,
    ( spl0_37
    | ~ spl0_39
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f2035,f325,f314,f306]) ).

fof(f2215,plain,
    ( spl0_82
    | ~ spl0_163
    | ~ spl0_42
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2033,f505,f325,f1942,f501]) ).

fof(f2218,plain,
    ( spl0_82
    | ~ spl0_163
    | ~ spl0_43
    | spl0_81 ),
    inference(avatar_split_clause,[],[f1939,f496,f331,f1942,f501]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f188]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f198]) ).

cnf(s3,plain,
    ( spl0_7
    | spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f208]) ).

cnf(s5,plain,
    ( spl0_9
    | spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f225]) ).

cnf(s6,plain,
    ( spl0_12
    | spl0_15
    | ~ spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f235]) ).

cnf(s7,plain,
    ( spl0_11
    | ~ spl0_16
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f242]) ).

cnf(s8,plain,
    ( spl0_3
    | spl0_5
    | ~ spl0_16
    | spl0_20 ),
    inference(sat_conversion,[],[f246]) ).

cnf(s9,plain,
    ( ~ spl0_16
    | spl0_17
    | spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f250]) ).

cnf(s10,plain,
    ( spl0_9
    | ~ spl0_16
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f257]) ).

cnf(s11,plain,
    ( spl0_11
    | ~ spl0_16
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f264]) ).

cnf(s12,plain,
    ( ~ spl0_16
    | spl0_25
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f271]) ).

cnf(s13,plain,
    ( spl0_6
    | ~ spl0_16
    | spl0_28 ),
    inference(sat_conversion,[],[f275]) ).

cnf(s15,plain,
    ( ~ spl0_16
    | spl0_26
    | spl0_28 ),
    inference(sat_conversion,[],[f277]) ).

cnf(s16,plain,
    ( ~ spl0_16
    | spl0_23
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f284]) ).

cnf(s17,plain,
    ( ~ spl0_16
    | spl0_31
    | spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f294]) ).

cnf(s18,plain,
    ( spl0_4
    | ~ spl0_16
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f298]) ).

cnf(s20,plain,
    ( ~ spl0_16
    | spl0_19
    | spl0_37
    | spl0_38 ),
    inference(sat_conversion,[],[f312]) ).

cnf(s21,plain,
    ( spl0_15
    | ~ spl0_16
    | spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f319]) ).

cnf(s22,plain,
    ( spl0_7
    | ~ spl0_16
    | spl0_40
    | spl0_41 ),
    inference(sat_conversion,[],[f323]) ).

cnf(s23,plain,
    ( spl0_5
    | spl0_8
    | ~ spl0_16
    | spl0_42 ),
    inference(sat_conversion,[],[f327]) ).

cnf(s25,plain,
    ( spl0_11
    | ~ spl0_16
    | spl0_36
    | spl0_42 ),
    inference(sat_conversion,[],[f329]) ).

cnf(s26,plain,
    ( spl0_11
    | spl0_14
    | ~ spl0_16
    | spl0_43 ),
    inference(sat_conversion,[],[f333]) ).

cnf(s27,plain,
    ( ~ spl0_16
    | spl0_17
    | spl0_27
    | spl0_43 ),
    inference(sat_conversion,[],[f334]) ).

cnf(s29,plain,
    ( ~ spl0_16
    | spl0_46
    | spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f351]) ).

cnf(s30,plain,
    ( ~ spl0_16
    | spl0_20
    | spl0_41
    | spl0_49 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s31,plain,
    ( ~ spl0_16
    | spl0_43
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f359]) ).

cnf(s32,plain,
    ( spl0_7
    | ~ spl0_16
    | spl0_33
    | spl0_51 ),
    inference(sat_conversion,[],[f363]) ).

cnf(s33,plain,
    ( ~ spl0_16
    | spl0_32
    | spl0_52
    | spl0_53 ),
    inference(sat_conversion,[],[f370]) ).

cnf(s35,plain,
    ( ~ spl0_16
    | spl0_39
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f375]) ).

cnf(s36,plain,
    ( spl0_3
    | ~ spl0_16
    | spl0_55
    | spl0_56 ),
    inference(sat_conversion,[],[f382]) ).

cnf(s37,plain,
    ( ~ spl0_16
    | spl0_39
    | spl0_56
    | spl0_57 ),
    inference(sat_conversion,[],[f386]) ).

cnf(s38,plain,
    ( ~ spl0_16
    | spl0_42
    | spl0_56 ),
    inference(sat_conversion,[],[f387]) ).

cnf(s39,plain,
    ( spl0_1
    | ~ spl0_16
    | spl0_58
    | spl0_59 ),
    inference(sat_conversion,[],[f394]) ).

cnf(s40,plain,
    ( ~ spl0_16
    | spl0_45
    | spl0_49
    | spl0_59 ),
    inference(sat_conversion,[],[f395]) ).

cnf(s41,plain,
    ( ~ spl0_36
    | spl0_60 ),
    inference(sat_conversion,[],[f400]) ).

cnf(s42,plain,
    ( ~ spl0_36
    | spl0_61 ),
    inference(sat_conversion,[],[f404]) ).

cnf(s43,plain,
    ( ~ spl0_36
    | spl0_62 ),
    inference(sat_conversion,[],[f408]) ).

cnf(s45,plain,
    ( ~ spl0_11
    | spl0_63 ),
    inference(sat_conversion,[],[f415]) ).

cnf(s46,plain,
    ( ~ spl0_11
    | spl0_64 ),
    inference(sat_conversion,[],[f419]) ).

cnf(s47,plain,
    ( ~ spl0_11
    | spl0_65 ),
    inference(sat_conversion,[],[f423]) ).

cnf(s49,plain,
    ( ~ spl0_14
    | spl0_66 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s50,plain,
    ( ~ spl0_14
    | spl0_67 ),
    inference(sat_conversion,[],[f433]) ).

cnf(s51,plain,
    ( ~ spl0_14
    | spl0_68 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | spl0_69 ),
    inference(sat_conversion,[],[f443]) ).

cnf(s54,plain,
    ( ~ spl0_3
    | spl0_70 ),
    inference(sat_conversion,[],[f447]) ).

cnf(s55,plain,
    ( ~ spl0_3
    | spl0_71 ),
    inference(sat_conversion,[],[f451]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | spl0_16 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s57,plain,
    ( ~ spl0_2
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s58,plain,
    ( ~ spl0_2
    | ~ spl0_73 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s59,plain,
    ( ~ spl0_2
    | spl0_74 ),
    inference(sat_conversion,[],[f465]) ).

cnf(s60,plain,
    ( ~ spl0_2
    | spl0_16 ),
    inference(sat_conversion,[],[f466]) ).

cnf(s66,plain,
    ( ~ spl0_13
    | spl0_79 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s67,plain,
    ( ~ spl0_13
    | spl0_80 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s69,plain,
    ( ~ spl0_18
    | ~ spl0_81 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s70,plain,
    ( ~ spl0_18
    | ~ spl0_82 ),
    inference(sat_conversion,[],[f503]) ).

cnf(s71,plain,
    ( ~ spl0_18
    | spl0_83 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s73,plain,
    ( ~ spl0_21
    | ~ spl0_84 ),
    inference(sat_conversion,[],[f513]) ).

cnf(s74,plain,
    ( ~ spl0_21
    | spl0_85 ),
    inference(sat_conversion,[],[f517]) ).

cnf(s75,plain,
    ( ~ spl0_21
    | spl0_86 ),
    inference(sat_conversion,[],[f521]) ).

cnf(s77,plain,
    ( ~ spl0_22
    | ~ spl0_87 ),
    inference(sat_conversion,[],[f527]) ).

cnf(s78,plain,
    ( ~ spl0_22
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f531]) ).

cnf(s79,plain,
    ( ~ spl0_22
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f535]) ).

cnf(s81,plain,
    ( ~ spl0_9
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f541]) ).

cnf(s82,plain,
    ( ~ spl0_9
    | spl0_91 ),
    inference(sat_conversion,[],[f545]) ).

cnf(s83,plain,
    ( ~ spl0_9
    | spl0_92 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s86,plain,
    ( ~ spl0_24
    | ~ spl0_94 ),
    inference(sat_conversion,[],[f559]) ).

cnf(s87,plain,
    ( ~ spl0_24
    | spl0_95 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s89,plain,
    ( ~ spl0_29
    | ~ spl0_96 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s90,plain,
    ( ~ spl0_29
    | spl0_97 ),
    inference(sat_conversion,[],[f573]) ).

cnf(s91,plain,
    ( ~ spl0_29
    | spl0_98 ),
    inference(sat_conversion,[],[f577]) ).

cnf(s93,plain,
    ( ~ spl0_31
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f583]) ).

cnf(s94,plain,
    ( ~ spl0_31
    | ~ spl0_100 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s95,plain,
    ( ~ spl0_31
    | spl0_101 ),
    inference(sat_conversion,[],[f591]) ).

cnf(s97,plain,
    ( ~ spl0_4
    | ~ spl0_102 ),
    inference(sat_conversion,[],[f597]) ).

cnf(s98,plain,
    ( ~ spl0_4
    | ~ spl0_103 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s99,plain,
    ( ~ spl0_4
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f605]) ).

cnf(s105,plain,
    ( ~ spl0_38
    | ~ spl0_108 ),
    inference(sat_conversion,[],[f625]) ).

cnf(s106,plain,
    ( ~ spl0_38
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f629]) ).

cnf(s107,plain,
    ( ~ spl0_38
    | spl0_110 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s109,plain,
    ( ~ spl0_15
    | ~ spl0_111 ),
    inference(sat_conversion,[],[f639]) ).

cnf(s110,plain,
    ( ~ spl0_15
    | spl0_112 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s111,plain,
    ( ~ spl0_15
    | spl0_113 ),
    inference(sat_conversion,[],[f647]) ).

cnf(s113,plain,
    ( ~ spl0_5
    | ~ spl0_114 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s114,plain,
    ( ~ spl0_5
    | ~ spl0_115 ),
    inference(sat_conversion,[],[f657]) ).

cnf(s115,plain,
    ( ~ spl0_5
    | spl0_116 ),
    inference(sat_conversion,[],[f661]) ).

cnf(s117,plain,
    ( ~ spl0_8
    | ~ spl0_117 ),
    inference(sat_conversion,[],[f667]) ).

cnf(s118,plain,
    ( ~ spl0_8
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f671]) ).

cnf(s119,plain,
    ( ~ spl0_8
    | spl0_119 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s121,plain,
    ( ~ spl0_6
    | ~ spl0_120 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s122,plain,
    ( ~ spl0_6
    | spl0_121 ),
    inference(sat_conversion,[],[f685]) ).

cnf(s123,plain,
    ( ~ spl0_6
    | spl0_122 ),
    inference(sat_conversion,[],[f689]) ).

cnf(s125,plain,
    ( ~ spl0_12
    | ~ spl0_123 ),
    inference(sat_conversion,[],[f695]) ).

cnf(s126,plain,
    ( ~ spl0_12
    | spl0_124 ),
    inference(sat_conversion,[],[f699]) ).

cnf(s127,plain,
    ( ~ spl0_12
    | spl0_125 ),
    inference(sat_conversion,[],[f703]) ).

cnf(s129,plain,
    ( ~ spl0_46
    | ~ spl0_126 ),
    inference(sat_conversion,[],[f709]) ).

cnf(s130,plain,
    ( ~ spl0_46
    | spl0_127 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s131,plain,
    ( ~ spl0_46
    | spl0_128 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s133,plain,
    ( ~ spl0_7
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s134,plain,
    ( ~ spl0_7
    | spl0_130 ),
    inference(sat_conversion,[],[f727]) ).

cnf(s135,plain,
    ( ~ spl0_7
    | spl0_131 ),
    inference(sat_conversion,[],[f731]) ).

cnf(s137,plain,
    ( ~ spl0_52
    | ~ spl0_132 ),
    inference(sat_conversion,[],[f737]) ).

cnf(s138,plain,
    ( ~ spl0_52
    | ~ spl0_133 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s139,plain,
    ( ~ spl0_52
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s141,plain,
    ( ~ spl0_32
    | ~ spl0_135 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s142,plain,
    ( ~ spl0_32
    | ~ spl0_136 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s143,plain,
    ( ~ spl0_32
    | spl0_137 ),
    inference(sat_conversion,[],[f759]) ).

cnf(s145,plain,
    ( ~ spl0_57
    | ~ spl0_138 ),
    inference(sat_conversion,[],[f765]) ).

cnf(s146,plain,
    ( ~ spl0_57
    | ~ spl0_139 ),
    inference(sat_conversion,[],[f769]) ).

cnf(s147,plain,
    ( ~ spl0_57
    | spl0_140 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s149,plain,
    ( ~ spl0_1
    | ~ spl0_141 ),
    inference(sat_conversion,[],[f779]) ).

cnf(s150,plain,
    ( ~ spl0_1
    | ~ spl0_142 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s151,plain,
    ( ~ spl0_1
    | spl0_143 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s152,plain,
    ( ~ spl0_1
    | spl0_16 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s154,plain,
    ( ~ spl0_28
    | spl0_90
    | ~ spl0_91
    | spl0_145 ),
    inference(sat_conversion,[],[f815]) ).

cnf(s160,plain,
    ( spl0_25
    | ~ spl0_27
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f845]) ).

cnf(s165,plain,
    ( ~ spl0_17
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s166,plain,
    ( ~ spl0_17
    | spl0_19
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s170,plain,
    ( ~ spl0_17
    | ~ spl0_66
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f876]) ).

cnf(s172,plain,
    ( ~ spl0_17
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f877]) ).

cnf(s176,plain,
    ( ~ spl0_17
    | spl0_26
    | ~ spl0_39 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s180,plain,
    ( ~ spl0_28
    | ~ spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s199,plain,
    ( ~ spl0_30
    | spl0_72
    | ~ spl0_74
    | spl0_154 ),
    inference(sat_conversion,[],[f998]) ).

cnf(s204,plain,
    ( ~ spl0_40
    | spl0_126
    | ~ spl0_127
    | ~ spl0_128 ),
    inference(sat_conversion,[],[f1021]) ).

cnf(s208,plain,
    ( ~ spl0_41
    | spl0_90
    | ~ spl0_92
    | spl0_145 ),
    inference(sat_conversion,[],[f1059]) ).

cnf(s211,plain,
    ( spl0_25
    | ~ spl0_27
    | ~ spl0_41 ),
    inference(sat_conversion,[],[f1064]) ).

cnf(s216,plain,
    ( ~ spl0_26
    | ~ spl0_79
    | ~ spl0_80
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f1090]) ).

cnf(s228,plain,
    ( ~ spl0_20
    | spl0_129
    | ~ spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f1119]) ).

cnf(s234,plain,
    ( ~ spl0_51
    | spl0_72
    | spl0_73
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f1179]) ).

cnf(s236,plain,
    ( ~ spl0_51
    | spl0_99
    | spl0_100
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1182]) ).

cnf(s238,plain,
    ( ~ spl0_20
    | spl0_23
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f1184]) ).

cnf(s242,plain,
    ( ~ spl0_20
    | spl0_45
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f1203]) ).

cnf(s244,plain,
    ( ~ spl0_45
    | spl0_141
    | spl0_142
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1204]) ).

cnf(s277,plain,
    ( ~ spl0_37
    | ~ spl0_79
    | ~ spl0_80
    | spl0_148 ),
    inference(sat_conversion,[],[f1285]) ).

cnf(s308,plain,
    ( ~ spl0_23
    | spl0_120
    | ~ spl0_121
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f1382]) ).

cnf(s312,plain,
    ( ~ spl0_48
    | spl0_49
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f1410]) ).

cnf(s322,plain,
    ( ~ spl0_33
    | spl0_117
    | spl0_118
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f1447]) ).

cnf(s327,plain,
    ( ~ spl0_58
    | spl0_90
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f1487]) ).

cnf(s338,plain,
    ( ~ spl0_28
    | ~ spl0_47
    | spl0_111
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f1536]) ).

cnf(s362,plain,
    ( ~ spl0_37
    | spl0_100
    | ~ spl0_101
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f1570]) ).

cnf(s376,plain,
    ( ~ spl0_25
    | spl0_123
    | ~ spl0_125
    | spl0_159 ),
    inference(sat_conversion,[],[f1603]) ).

cnf(s385,plain,
    ( spl0_37
    | ~ spl0_40
    | ~ spl0_53 ),
    inference(sat_conversion,[],[f1612]) ).

cnf(s408,plain,
    ( ~ spl0_23
    | spl0_123
    | ~ spl0_125
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1659]) ).

cnf(s424,plain,
    ( ~ spl0_41
    | spl0_132
    | spl0_134
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1675]) ).

cnf(s430,plain,
    ( ~ spl0_23
    | ~ spl0_60
    | ~ spl0_62
    | spl0_150 ),
    inference(sat_conversion,[],[f1683]) ).

cnf(s434,plain,
    ( ~ spl0_40
    | ~ spl0_69
    | ~ spl0_71
    | spl0_144 ),
    inference(sat_conversion,[],[f1691]) ).

cnf(s437,plain,
    ( ~ spl0_59
    | spl0_133
    | spl0_134
    | spl0_146 ),
    inference(sat_conversion,[],[f1703]) ).

cnf(s439,plain,
    ( ~ spl0_33
    | spl0_133
    | spl0_134
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f1705]) ).

cnf(s442,plain,
    ( ~ spl0_43
    | spl0_138
    | spl0_139
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f1712]) ).

cnf(s446,plain,
    ( ~ spl0_37
    | ~ spl0_69
    | ~ spl0_70
    | spl0_144 ),
    inference(sat_conversion,[],[f1739]) ).

cnf(s453,plain,
    ( ~ spl0_20
    | ~ spl0_60
    | ~ spl0_61
    | spl0_150 ),
    inference(sat_conversion,[],[f1757]) ).

cnf(s455,plain,
    ( ~ spl0_20
    | spl0_123
    | ~ spl0_124
    | ~ spl0_159 ),
    inference(sat_conversion,[],[f1759]) ).

cnf(s458,plain,
    ( ~ spl0_48
    | spl0_136
    | ~ spl0_137
    | spl0_160 ),
    inference(sat_conversion,[],[f1781]) ).

cnf(s461,plain,
    ( spl0_49
    | ~ spl0_54
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f1807]) ).

cnf(s462,plain,
    ( ~ spl0_48
    | spl0_49
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f1820]) ).

cnf(s476,plain,
    ( ~ spl0_59
    | spl0_72
    | spl0_73
    | spl0_154 ),
    inference(sat_conversion,[],[f1830]) ).

cnf(s482,plain,
    ( ~ spl0_40
    | spl0_45
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f1836]) ).

cnf(s483,plain,
    ( ~ spl0_20
    | spl0_45
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f1837]) ).

cnf(s489,plain,
    ( ~ spl0_26
    | ~ spl0_91
    | ~ spl0_92
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1842]) ).

cnf(s491,plain,
    ( ~ spl0_26
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f1844]) ).

cnf(s494,plain,
    ( ~ spl0_49
    | spl0_102
    | spl0_103
    | spl0_104 ),
    inference(sat_conversion,[],[f1847]) ).

cnf(s502,plain,
    ( ~ spl0_23
    | spl0_129
    | ~ spl0_130
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f1855]) ).

cnf(s503,plain,
    ( ~ spl0_19
    | ~ spl0_66
    | ~ spl0_68
    | spl0_149 ),
    inference(sat_conversion,[],[f1856]) ).

cnf(s518,plain,
    ( ~ spl0_41
    | spl0_118
    | ~ spl0_119
    | spl0_153 ),
    inference(sat_conversion,[],[f1871]) ).

cnf(s525,plain,
    ( ~ spl0_45
    | spl0_126
    | ~ spl0_127
    | spl0_155 ),
    inference(sat_conversion,[],[f1878]) ).

cnf(s529,plain,
    ( ~ spl0_45
    | spl0_73
    | ~ spl0_74
    | spl0_154 ),
    inference(sat_conversion,[],[f1882]) ).

cnf(s551,plain,
    ( ~ spl0_28
    | spl0_87
    | spl0_88
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1898]) ).

cnf(s560,plain,
    ( ~ spl0_28
    | spl0_87
    | spl0_88
    | ~ spl0_151 ),
    inference(sat_conversion,[],[f1912]) ).

cnf(s586,plain,
    ( ~ spl0_53
    | spl0_72
    | spl0_73
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f1935]) ).

cnf(s594,plain,
    ( ~ spl0_26
    | ~ spl0_60
    | ~ spl0_62
    | ~ spl0_150 ),
    inference(sat_conversion,[],[f1968]) ).

cnf(s595,plain,
    ( ~ spl0_26
    | ~ spl0_63
    | ~ spl0_64
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f1969]) ).

cnf(s599,plain,
    ( ~ spl0_34
    | spl0_90
    | ~ spl0_92
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f1982]) ).

cnf(s601,plain,
    ( ~ spl0_34
    | spl0_118
    | ~ spl0_119
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1984]) ).

cnf(s603,plain,
    ( ~ spl0_37
    | spl0_84
    | ~ spl0_85
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f1998]) ).

cnf(s605,plain,
    ( ~ spl0_37
    | spl0_126
    | ~ spl0_127
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2000]) ).

cnf(s606,plain,
    ( ~ spl0_39
    | spl0_72
    | ~ spl0_74
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f2010]) ).

cnf(s607,plain,
    ( ~ spl0_39
    | spl0_90
    | ~ spl0_91
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f2011]) ).

cnf(s609,plain,
    ( ~ spl0_40
    | spl0_94
    | ~ spl0_95
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2024]) ).

cnf(s610,plain,
    ( ~ spl0_40
    | ~ spl0_130
    | ~ spl0_131
    | spl0_156 ),
    inference(sat_conversion,[],[f2025]) ).

cnf(s615,plain,
    ( ~ spl0_49
    | spl0_81
    | spl0_82
    | spl0_163 ),
    inference(sat_conversion,[],[f2072]) ).

cnf(s616,plain,
    ( ~ spl0_49
    | spl0_87
    | spl0_89
    | spl0_151 ),
    inference(sat_conversion,[],[f2073]) ).

cnf(s619,plain,
    ( ~ spl0_49
    | spl0_132
    | spl0_133
    | spl0_146 ),
    inference(sat_conversion,[],[f2076]) ).

cnf(s630,plain,
    ( ~ spl0_56
    | spl0_87
    | spl0_88
    | spl0_89 ),
    inference(sat_conversion,[],[f2087]) ).

cnf(s633,plain,
    ( ~ spl0_27
    | spl0_81
    | ~ spl0_83
    | spl0_163 ),
    inference(sat_conversion,[],[f2106]) ).

cnf(s636,plain,
    ( ~ spl0_27
    | spl0_123
    | ~ spl0_124
    | spl0_159 ),
    inference(sat_conversion,[],[f2110]) ).

cnf(s637,plain,
    ( ~ spl0_27
    | spl0_135
    | spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2111]) ).

cnf(s638,plain,
    ( ~ spl0_54
    | spl0_81
    | spl0_82
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f2123]) ).

cnf(s639,plain,
    ( ~ spl0_54
    | spl0_94
    | ~ spl0_95
    | spl0_161 ),
    inference(sat_conversion,[],[f2124]) ).

cnf(s640,plain,
    ( ~ spl0_54
    | spl0_135
    | ~ spl0_137
    | spl0_160 ),
    inference(sat_conversion,[],[f2125]) ).

cnf(s641,plain,
    ( ~ spl0_55
    | ~ spl0_67
    | ~ spl0_68
    | spl0_149 ),
    inference(sat_conversion,[],[f2139]) ).

cnf(s642,plain,
    ( ~ spl0_55
    | spl0_96
    | ~ spl0_97
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f2140]) ).

cnf(s646,plain,
    ( ~ spl0_56
    | spl0_99
    | spl0_100
    | spl0_147 ),
    inference(sat_conversion,[],[f2153]) ).

cnf(s648,plain,
    ( ~ spl0_56
    | spl0_132
    | spl0_134
    | spl0_146 ),
    inference(sat_conversion,[],[f2155]) ).

cnf(s653,plain,
    ( ~ spl0_53
    | spl0_99
    | spl0_100
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f2169]) ).

cnf(s656,plain,
    ( ~ spl0_19
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f2172]) ).

cnf(s657,plain,
    ( ~ spl0_19
    | ~ spl0_91
    | ~ spl0_92
    | spl0_145 ),
    inference(sat_conversion,[],[f2173]) ).

cnf(s659,plain,
    ( ~ spl0_39
    | spl0_99
    | ~ spl0_101
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2175]) ).

cnf(s667,plain,
    ( ~ spl0_43
    | spl0_100
    | ~ spl0_101
    | spl0_147 ),
    inference(sat_conversion,[],[f2183]) ).

cnf(s668,plain,
    ( ~ spl0_26
    | ~ spl0_66
    | ~ spl0_68
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f2184]) ).

cnf(s671,plain,
    ( ~ spl0_25
    | spl0_114
    | spl0_115
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f2187]) ).

cnf(s678,plain,
    ( ~ spl0_25
    | spl0_135
    | spl0_136
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2194]) ).

cnf(s681,plain,
    ( ~ spl0_28
    | spl0_99
    | ~ spl0_101
    | spl0_147 ),
    inference(sat_conversion,[],[f2197]) ).

cnf(s685,plain,
    ( ~ spl0_28
    | spl0_108
    | spl0_109
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f2199]) ).

cnf(s698,plain,
    ( ~ spl0_42
    | ~ spl0_70
    | ~ spl0_71
    | spl0_144 ),
    inference(sat_conversion,[],[f2211]) ).

cnf(s700,plain,
    ( spl0_37
    | ~ spl0_39
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f2213]) ).

cnf(s702,plain,
    ( ~ spl0_42
    | spl0_82
    | ~ spl0_83
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2215]) ).

cnf(s705,plain,
    ( ~ spl0_43
    | spl0_81
    | spl0_82
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2218]) ).

cnf(s713,plain,
    ( ~ spl0_52
    | ~ spl0_33
    | ~ spl0_59 ),
    inference(rat,[],[s437,s439,s138,s139]) ).

cnf(s714,plain,
    ( spl0_53
    | spl0_52
    | spl0_39
    | spl0_26
    | ~ spl0_16 ),
    inference(rat,[],[s12,s678,s637,s640,s141,s142,s143,s33,s35]) ).

cnf(s715,plain,
    ( spl0_8
    | spl0_7
    | spl0_5
    | spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s685,s105,s106,s107,s20,s656,s109,s110,s111,s21,s385,s714,s713,s603,s73,s74,s75,s9,s238,s18,s599,s607,s154,s15,s39,s491,s172,s327,s698,s81,s82,s83,s23,s3,s56,s55,s54,s53,s308,s121,s122,s123,s2]) ).

cnf(s716,plain,
    ( ~ spl0_22
    | ~ spl0_56 ),
    inference(rat,[],[s630,s77,s78,s79]) ).

cnf(s717,plain,
    ( spl0_90
    | ~ spl0_9
    | ~ spl0_28
    | ~ spl0_34 ),
    inference(rat,[],[s154,s599,s83,s82]) ).

cnf(s718,plain,
    ( ~ spl0_9
    | ~ spl0_34
    | ~ spl0_28 ),
    inference(rat,[],[s81,s717]) ).

cnf(s719,plain,
    ( ~ spl0_12
    | ~ spl0_27
    | ~ spl0_20 ),
    inference(rat,[],[s636,s455,s125,s126]) ).

cnf(s721,plain,
    ( ~ spl0_32
    | ~ spl0_27 ),
    inference(rat,[],[s637,s141,s142,s143]) ).

cnf(s722,plain,
    ( ~ spl0_31
    | ~ spl0_43
    | ~ spl0_51 ),
    inference(rat,[],[s236,s667,s93,s94,s95]) ).

cnf(s723,plain,
    ( ~ spl0_46
    | ~ spl0_40 ),
    inference(rat,[],[s204,s129,s130,s131]) ).

cnf(s724,plain,
    ( ~ spl0_15
    | ~ spl0_47
    | ~ spl0_28 ),
    inference(rat,[],[s338,s109,s110]) ).

cnf(s725,plain,
    ( spl0_7
    | spl0_5
    | spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s376,s455,s125,s126,s127,s6,s724,s29,s723,s458,s678,s12,s721,s141,s142,s143,s17,s722,s30,s180,s616,s38,s560,s716,s77,s78,s79,s10,s718,s15,s491,s172,s434,s22,s518,s601,s18,s32,s322,s117,s118,s119,s715,s56,s55,s54,s53,s308,s121,s122,s123,s2]) ).

cnf(s726,plain,
    ( spl0_56
    | ~ spl0_28
    | spl0_20
    | ~ spl0_3 ),
    inference(rat,[],[s442,s145,s146,s147,s37,s700,s603,s73,s74,s75,s9,s172,s180,s698,s38,s56,s55,s54]) ).

cnf(s727,plain,
    ( ~ spl0_38
    | ~ spl0_28 ),
    inference(rat,[],[s685,s105,s106,s107]) ).

cnf(s728,plain,
    ( spl0_37
    | spl0_38
    | ~ spl0_53
    | spl0_39
    | ~ spl0_16 ),
    inference(rat,[],[s656,s109,s110,s111,s21,s20,s385]) ).

cnf(s729,plain,
    ( ~ spl0_37
    | spl0_20
    | ~ spl0_3 ),
    inference(rat,[],[s603,s73,s74,s75,s9,s172,s446,s56,s55,s54,s53]) ).

cnf(s730,plain,
    ( ~ spl0_28
    | spl0_5
    | spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s714,s728,s713,s607,s489,s39,s18,s154,s327,s718,s81,s82,s83,s10,s716,s727,s726,s56,s308,s121,s122,s123,s2,s729,s228,s133,s134,s135,s725]) ).

cnf(s732,plain,
    ( ~ spl0_57
    | ~ spl0_43 ),
    inference(rat,[],[s442,s145,s146,s147]) ).

cnf(s734,plain,
    ( spl0_100
    | spl0_99
    | ~ spl0_51
    | ~ spl0_56 ),
    inference(rat,[],[s646,s236]) ).

cnf(s735,plain,
    ( ~ spl0_18
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(rat,[],[s615,s705,s69,s70]) ).

cnf(s736,plain,
    ( ~ spl0_11
    | ~ spl0_26 ),
    inference(rat,[],[s595,s45,s46,s47]) ).

cnf(s737,plain,
    ( spl0_5
    | spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s659,s35,s646,s653,s93,s94,s95,s17,s721,s27,s170,s49,s50,s51,s26,s638,s735,s69,s70,s71,s7,s736,s30,s657,s208,s599,s18,s81,s82,s83,s322,s10,s117,s118,s119,s716,s23,s38,s698,s491,s15,s730,s228,s133,s134,s135,s725,s308,s121,s122,s123,s2,s56,s55,s54,s53]) ).

cnf(s738,plain,
    ( spl0_28
    | spl0_25
    | ~ spl0_3 ),
    inference(rat,[],[s659,s35,s646,s653,s93,s94,s95,s17,s721,s160,s27,s170,s49,s50,s51,s26,s638,s735,s69,s70,s71,s7,s30,s657,s208,s489,s81,s82,s83,s10,s453,s594,s716,s41,s42,s43,s38,s25,s698,s308,s736,s491,s121,s122,s123,s15,s13,s56,s55,s54,s53]) ).

cnf(s739,plain,
    ( ~ spl0_26
    | ~ spl0_23
    | ~ spl0_3 ),
    inference(rat,[],[s430,s594,s41,s43,s25,s698,s736,s491,s56,s55,s54,s53]) ).

cnf(s740,plain,
    ( ~ spl0_15
    | ~ spl0_19 ),
    inference(rat,[],[s656,s109,s110,s111]) ).

cnf(s741,plain,
    ( ~ spl0_26
    | spl0_20
    | ~ spl0_28
    | ~ spl0_3 ),
    inference(rat,[],[s154,s607,s81,s82,s21,s10,s434,s739,s491,s55,s54,s53,s716,s726,s740,s20,s729,s56,s727]) ).

cnf(s742,plain,
    ( spl0_20
    | spl0_25
    | spl0_4
    | ~ spl0_3 ),
    inference(rat,[],[s502,s610,s133,s134,s135,s21,s32,s659,s734,s646,s10,s93,s94,s95,s718,s17,s18,s721,s160,s12,s741,s740,s716,s20,s726,s729,s56,s727,s738]) ).

cnf(s743,plain,
    ( ~ spl0_26
    | ~ spl0_20
    | ~ spl0_3 ),
    inference(rat,[],[s453,s594,s41,s42,s43,s25,s698,s736,s491,s56,s55,s54,s53]) ).

cnf(s744,plain,
    ( spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s228,s133,s134,s135,s32,s236,s681,s93,s94,s95,s17,s721,s160,s12,s743,s742,s738,s671,s113,s114,s115,s737,s56]) ).

cnf(s745,plain,
    ( ~ spl0_26
    | spl0_49
    | ~ spl0_3 ),
    inference(rat,[],[s208,s489,s81,s82,s83,s10,s716,s38,s30,s698,s743,s739,s491,s56,s55,s54,s53]) ).

cnf(s746,plain,
    ( ~ spl0_9
    | ~ spl0_39
    | ~ spl0_19 ),
    inference(rat,[],[s607,s657,s81,s82,s83]) ).

cnf(s747,plain,
    ( ~ spl0_39
    | spl0_22
    | ~ spl0_19
    | spl0_26
    | ~ spl0_16 ),
    inference(rat,[],[s12,s376,s636,s408,s10,s746,s125,s126,s127,s6,s176,s740]) ).

cnf(s748,plain,
    ( spl0_20
    | spl0_49
    | ~ spl0_3 ),
    inference(rat,[],[s648,s424,s137,s139,s714,s728,s747,s716,s20,s30,s726,s729,s727,s15,s745,s56]) ).

cnf(s749,plain,
    ( spl0_144
    | spl0_26
    | ~ spl0_69
    | ~ spl0_70
    | ~ spl0_71
    | ~ spl0_16 ),
    inference(rat,[],[s747,s21,s716,s740,s38,s20,s434,s698,s446,s727,s15]) ).

cnf(s750,plain,
    ( ~ spl0_9
    | ~ spl0_39
    | ~ spl0_28 ),
    inference(rat,[],[s607,s154,s81,s82]) ).

cnf(s751,plain,
    ( spl0_45
    | ~ spl0_20
    | spl0_49
    | ~ spl0_16 ),
    inference(rat,[],[s40,s483]) ).

cnf(s752,plain,
    ( spl0_37
    | ~ spl0_39
    | spl0_26
    | ~ spl0_16 ),
    inference(rat,[],[s716,s38,s747,s700,s20,s727,s15]) ).

cnf(s753,plain,
    ( ~ spl0_46
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(rat,[],[s525,s605,s129,s130]) ).

cnf(s754,plain,
    ( ~ spl0_12
    | ~ spl0_20
    | spl0_26
    | ~ spl0_16 ),
    inference(rat,[],[s376,s12,s455,s719,s125,s126,s127]) ).

cnf(s755,plain,
    ( ~ spl0_7
    | ~ spl0_20 ),
    inference(rat,[],[s228,s133,s134,s135]) ).

cnf(s756,plain,
    ( ~ spl0_39
    | spl0_7
    | spl0_47
    | ~ spl0_45
    | spl0_26
    | spl0_49
    | ~ spl0_16 ),
    inference(rat,[],[s678,s12,s458,s721,s141,s142,s143,s17,s722,s32,s322,s117,s118,s119,s3,s31,s312,s29,s753,s752,s750,s15]) ).

cnf(s757,plain,
    ( ~ spl0_3
    | spl0_1 ),
    inference(rat,[],[s732,s31,s37,s312,s462,s29,s753,s20,s756,s755,s740,s724,s6,s754,s751,s172,s749,s748,s727,s15,s745,s494,s97,s98,s99,s744,s53,s54,s55,s56]) ).

cnf(s758,plain,
    ( spl0_154
    | spl0_23
    | spl0_1 ),
    inference(rat,[],[s327,s81,s82,s83,s10,s716,s36,s642,s89,s90,s91,s16,s39,s199,s476,s60,s59,s58,s57,s1,s757]) ).

cnf(s759,plain,
    ( ~ spl0_154
    | spl0_94
    | ~ spl0_95
    | spl0_11
    | ~ spl0_2 ),
    inference(rat,[],[s638,s69,s70,s71,s7,s740,s21,s609,s639,s35,s586,s606,s60,s59,s58,s57]) ).

cnf(s760,plain,
    ( ~ spl0_6
    | ~ spl0_23 ),
    inference(rat,[],[s308,s121,s122,s123]) ).

cnf(s761,plain,
    ( ~ spl0_36
    | ~ spl0_23
    | ~ spl0_26 ),
    inference(rat,[],[s430,s594,s41,s43]) ).

cnf(s765,plain,
    ( ~ spl0_13
    | ~ spl0_37
    | ~ spl0_26 ),
    inference(rat,[],[s216,s277,s66,s67]) ).

cnf(s766,plain,
    ( ~ spl0_14
    | ~ spl0_19
    | ~ spl0_26 ),
    inference(rat,[],[s503,s668,s49,s51]) ).

cnf(s767,plain,
    ( ~ spl0_39
    | spl0_14
    | ~ spl0_42
    | ~ spl0_28
    | ~ spl0_26 ),
    inference(rat,[],[s765,s5,s700,s750]) ).

cnf(s768,plain,
    ( ~ spl0_26
    | spl0_25
    | spl0_1 ),
    inference(rat,[],[s657,s489,s82,s83,s5,s765,s385,s35,s639,s609,s21,s767,s766,s740,s7,s735,s180,s25,s761,s13,s760,s40,s758,s529,s476,s759,s86,s87,s11,s736,s60,s59,s58,s57,s1,s757]) ).

cnf(s770,plain,
    ( ~ spl0_22
    | ~ spl0_49
    | ~ spl0_28 ),
    inference(rat,[],[s551,s616,s77,s78,s79]) ).

cnf(s771,plain,
    ( spl0_20
    | spl0_1 ),
    inference(rat,[],[s494,s97,s98,s99,s18,s718,s10,s770,s502,s610,s21,s740,s20,s659,s362,s681,s93,s94,s95,s133,s134,s135,s17,s32,s30,s721,s160,s211,s727,s12,s15,s768,s671,s113,s114,s115,s8,s60,s234,s57,s58,s59,s1,s757]) ).

cnf(s773,plain,
    ( ~ spl0_9
    | ~ spl0_19
    | ~ spl0_26 ),
    inference(rat,[],[s657,s489,s82,s83]) ).

cnf(s774,plain,
    ( ~ spl0_8
    | ~ spl0_33 ),
    inference(rat,[],[s322,s117,s118,s119]) ).

cnf(s775,plain,
    ( spl0_3
    | spl0_1 ),
    inference(rat,[],[s714,s586,s713,s476,s39,s489,s327,s750,s154,s81,s82,s83,s3,s774,s13,s760,s238,s32,s755,s771,s234,s57,s58,s59,s60,s1]) ).

cnf(s776,plain,
    spl0_1,
    inference(rat,[],[s775,s757]) ).

cnf(s777,plain,
    spl0_16,
    inference(rat,[],[s152,s776]) ).

cnf(s778,plain,
    spl0_143,
    inference(rat,[],[s151,s776]) ).

cnf(s779,plain,
    ~ spl0_142,
    inference(rat,[],[s150,s776]) ).

cnf(s780,plain,
    ~ spl0_141,
    inference(rat,[],[s149,s776]) ).

cnf(s781,plain,
    ~ spl0_45,
    inference(rat,[],[s244,s778,s779,s780]) ).

cnf(s783,plain,
    ( ~ spl0_24
    | ~ spl0_54
    | ~ spl0_40 ),
    inference(rat,[],[s609,s639,s86,s87]) ).

cnf(s784,plain,
    ( ~ spl0_5
    | ~ spl0_25 ),
    inference(rat,[],[s671,s113,s114,s115]) ).

cnf(s785,plain,
    ( ~ spl0_49
    | spl0_9
    | spl0_39
    | ~ spl0_28
    | ~ spl0_26 ),
    inference(rat,[],[s494,s97,s98,s99,s2,s784,s11,s783,s35,s728,s765,s5,s21,s766,s740,s7,s735,s180,s25,s761,s760,s10,s770,s736,s727,s777]) ).

cnf(s787,plain,
    ( ~ spl0_9
    | ~ spl0_28
    | ~ spl0_26 ),
    inference(rat,[],[s154,s489,s81,s82,s83]) ).

cnf(s788,plain,
    ( ~ spl0_49
    | ~ spl0_39
    | ~ spl0_28
    | ~ spl0_26 ),
    inference(rat,[],[s7,s766,s735,s767,s180,s25,s761,s10,s770,s736,s787,s777]) ).

cnf(s789,plain,
    ( ~ spl0_42
    | ~ spl0_39
    | ~ spl0_28
    | ~ spl0_26 ),
    inference(rat,[],[s603,s73,s74,s75,s9,s165,s49,s50,s51,s767,s700,s751,s788,s777,s781]) ).

cnf(s790,plain,
    ( spl0_42
    | spl0_9
    | ~ spl0_26 ),
    inference(rat,[],[s10,s761,s716,s25,s38,s736,s777]) ).

cnf(s791,plain,
    ( ~ spl0_28
    | ~ spl0_26 ),
    inference(rat,[],[s603,s73,s74,s75,s9,s166,s740,s728,s21,s35,s482,s461,s751,s40,s785,s789,s790,s787,s727,s777,s781]) ).

cnf(s792,plain,
    ( spl0_9
    | ~ spl0_39
    | ~ spl0_26 ),
    inference(rat,[],[s729,s743,s36,s641,s668,s49,s50,s51,s5,s765,s716,s700,s10,s790,s760,s13,s791,s777]) ).

cnf(s793,plain,
    ( ~ spl0_31
    | ~ spl0_56
    | ~ spl0_39 ),
    inference(rat,[],[s646,s659,s93,s94,s95]) ).

cnf(s794,plain,
    ( ~ spl0_49
    | ~ spl0_18
    | ~ spl0_39
    | spl0_11 ),
    inference(rat,[],[s784,s23,s160,s774,s17,s793,s721,s27,s165,s38,s49,s50,s51,s702,s26,s615,s735,s71,s70,s69,s777]) ).

cnf(s795,plain,
    ( ~ spl0_39
    | ~ spl0_26 ),
    inference(rat,[],[s30,s751,s794,s208,s7,s489,s773,s81,s82,s83,s792,s736,s777,s781]) ).

cnf(s796,plain,
    ( spl0_9
    | ~ spl0_26 ),
    inference(rat,[],[s702,s633,s69,s70,s71,s27,s7,s165,s766,s49,s50,s51,s26,s732,s37,s716,s10,s790,s736,s760,s13,s791,s795,s777]) ).

cnf(s797,plain,
    ( spl0_49
    | spl0_41 ),
    inference(rat,[],[s30,s751,s777,s781]) ).

cnf(s798,plain,
    ( ~ spl0_31
    | ~ spl0_53 ),
    inference(rat,[],[s653,s93,s94,s95]) ).

cnf(s799,plain,
    ~ spl0_26,
    inference(rat,[],[s784,s23,s160,s774,s17,s798,s721,s27,s165,s49,s50,s51,s702,s26,s615,s735,s797,s35,s638,s69,s70,s71,s208,s7,s489,s773,s81,s82,s83,s796,s795,s736,s777]) ).

cnf(s800,plain,
    spl0_28,
    inference(rat,[],[s15,s777,s799]) ).

cnf(s801,plain,
    ~ spl0_38,
    inference(rat,[],[s727,s800]) ).

cnf(s802,plain,
    ( ~ spl0_21
    | ~ spl0_37 ),
    inference(rat,[],[s603,s73,s74,s75]) ).

cnf(s803,plain,
    ~ spl0_39,
    inference(rat,[],[s774,s3,s32,s242,s755,s9,s802,s750,s752,s176,s777,s781,s800,s799]) ).

cnf(s805,plain,
    ( ~ spl0_4
    | ~ spl0_49 ),
    inference(rat,[],[s494,s97,s98,s99]) ).

cnf(s806,plain,
    ( spl0_25
    | ~ spl0_23
    | ~ spl0_43 ),
    inference(rat,[],[s21,s610,s740,s502,s20,s133,s134,s135,s362,s32,s681,s722,s93,s94,s95,s17,s721,s160,s12,s777,s803,s801,s800,s799]) ).

cnf(s807,plain,
    ( spl0_5
    | spl0_6 ),
    inference(rat,[],[s8,s748,s751,s805,s2,s781,s777]) ).

cnf(s808,plain,
    ( ~ spl0_43
    | spl0_9 ),
    inference(rat,[],[s807,s784,s806,s760,s10,s716,s37,s732,s777,s803]) ).

cnf(s809,plain,
    spl0_9,
    inference(rat,[],[s610,s21,s502,s740,s133,s134,s135,s20,s32,s362,s734,s681,s93,s94,s95,s17,s721,s160,s12,s784,s807,s760,s10,s716,s38,s180,s808,s777,s803,s801,s800,s799]) ).

cnf(s813,plain,
    ~ spl0_34,
    inference(rat,[],[s718,s800,s809]) ).

cnf(s817,plain,
    ( spl0_25
    | ~ spl0_27 ),
    inference(rat,[],[s805,s797,s18,s211,s160,s813,s777]) ).

cnf(s818,plain,
    spl0_25,
    inference(rat,[],[s817,s12,s777,s799]) ).

cnf(s819,plain,
    ~ spl0_5,
    inference(rat,[],[s784,s818]) ).

cnf(s820,plain,
    spl0_6,
    inference(rat,[],[s807,s819]) ).

cnf(s824,plain,
    ( ~ spl0_49
    | spl0_23 ),
    inference(rat,[],[s619,s439,s137,s138,s139,s714,s728,s729,s8,s238,s18,s805,s803,s799,s777,s801,s819,s813]) ).

cnf(s825,plain,
    ( spl0_20
    | spl0_49 ),
    inference(rat,[],[s8,s748,s819,s777]) ).

cnf(s826,plain,
    spl0_49,
    inference(rat,[],[s825,s751,s781,s777]) ).

cnf(s827,plain,
    ~ spl0_23,
    inference(rat,[],[s760,s820]) ).

cnf(s830,plain,
    $false,
    inference(rat,[],[s824,s827,s826]) ).

fof(f2226,plain,
    $false,
    inference(avatar_sat_refutation,[],[s830]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN436+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n010.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 16:00:47 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.53/1.14  % (2041272)Detected formulas, will run a generic FOF schedule.
% 1.53/1.14  % (2041277)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1401962781:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.53/1.14  % (2041282)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3324884306:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.53/1.14  % (2041280)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1471394815:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.53/1.14  % (2041279)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1983223923:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.53/1.14  % (2041283)dis-21_1_sil=8000:lcm=predicate:random_seed=539034244:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.53/1.14  % (2041278)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=140330168:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.53/1.14  % (2041281)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2168496349:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.53/1.14  % (2041283)First to succeed.
% 1.53/1.14  % (2041283)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2041272"
% 1.53/1.14  % (2041281)Instruction limit reached! 
% 1.53/1.14  % (2041281)------------------------------
% 1.53/1.14  % (2041281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.53/1.14  % (2041281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/1.14  % (2041281)CaDiCaL version: 2.1.3
% 1.53/1.14  % (2041281)Termination reason: Instruction limit
% 1.53/1.14  % (2041281)Termination phase: Saturation
% 1.53/1.14  % (2041281)Time elapsed: 0.060 s
% 1.53/1.14  % (2041281)Peak memory usage: 87 MB
% 1.53/1.14  % (2041281)Instructions burned: 120 (million)
% 1.53/1.14  % (2041280)Instruction limit reached! 
% 1.53/1.14  % (2041280)------------------------------
% 1.53/1.14  % (2041280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.53/1.14  % (2041280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/1.14  % (2041280)CaDiCaL version: 2.1.3
% 1.53/1.14  % (2041280)Termination reason: Instruction limit
% 1.53/1.14  % (2041280)Termination phase: Saturation
% 1.53/1.14  % (2041280)Time elapsed: 0.072 s
% 1.53/1.14  % (2041280)Peak memory usage: 90 MB
% 1.53/1.14  % (2041280)Instructions burned: 110 (million)
% 1.53/1.14  % (2041282)Also succeeded, but the first one will report.
% 1.53/1.14  % (2041291)lrs+10_1_sil=8000:sp=occurrence:random_seed=808744268:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.53/1.14  % (2041292)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3394730543:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.53/1.14  % (2041283)Refutation found. Thanks to Tanya!
% 1.53/1.14  % SZS status Theorem for theBenchmark
% 1.53/1.14  % SZS output start Proof for theBenchmark
% See solution above
% 3.98/1.34  % (2041283)------------------------------
% 3.98/1.34  % (2041283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.34  % (2041283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.34  % (2041283)CaDiCaL version: 2.1.3
% 3.98/1.34  % (2041283)Termination reason: Refutation
% 3.98/1.34  % (2041283)Time elapsed: 0.040 s
% 3.98/1.34  % (2041283)Peak memory usage: 90 MB
% 3.98/1.34  % (2041283)Instructions burned: 64 (million)
% 3.98/1.34  % (2041283)------------------------------
% 3.98/1.34  % (2041283)------------------------------
% 3.98/1.34  % (2041272)Success in time 0.477 s
% 3.98/1.34  % Vampire exiting
%------------------------------------------------------------------------------