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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SYN477+1 : TPTP v9.2.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 05:38:40 PM UTC 2026

% Result   : Theorem 13.37s 8.16s
% Output   : CNFRefutation 13.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :   46
% Syntax   : Number of formulae    :  843 (   3 unt;   0 def)
%            Number of atoms       : 5261 (   0 equ)
%            Maximal formula atoms :  770 (   6 avg)
%            Number of connectives : 6558 (2140   ~;3594   |; 561   &)
%                                         (  45 <=>; 218  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  299 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   80 (  79 usr;  76 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  577 (   0 sgn 372   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c2_1(a1205)
          & ~ c0_1(a1205)
          & ~ c1_1(a1205) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a1206)
          & c2_1(a1206)
          & ~ c3_1(a1206) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c0_1(a1207)
          & ~ c1_1(a1207)
          & ~ c2_1(a1207) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a1210)
          & c1_1(a1210)
          & ~ c3_1(a1210) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a1211)
          & ~ c0_1(a1211)
          & ~ c2_1(a1211) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a1212)
          & ~ c0_1(a1212)
          & ~ c3_1(a1212) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c1_1(a1215)
          & c2_1(a1215)
          & ~ c3_1(a1215) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & ~ c1_1(a1216)
          & ~ c2_1(a1216)
          & ~ c3_1(a1216) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ c0_1(a1217)
          & ~ c1_1(a1217)
          & ~ c3_1(a1217) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c1_1(a1219)
          & c2_1(a1219)
          & ~ c0_1(a1219) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c2_1(a1223)
          & ~ c1_1(a1223)
          & ~ c3_1(a1223) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c1_1(a1224)
          & c3_1(a1224)
          & ~ c2_1(a1224) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a1228)
          & c3_1(a1228)
          & ~ c2_1(a1228) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a1229)
          & c2_1(a1229)
          & ~ c1_1(a1229) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c3_1(a1232)
          & ~ c0_1(a1232)
          & ~ c2_1(a1232) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a1233)
          & c1_1(a1233)
          & ~ c2_1(a1233) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a1236)
          & ~ c1_1(a1236)
          & ~ c3_1(a1236) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c0_1(a1237)
          & c3_1(a1237)
          & ~ c1_1(a1237) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c2_1(a1246)
          & c3_1(a1246)
          & ~ c1_1(a1246) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a1247)
          & ~ c2_1(a1247)
          & ~ c3_1(a1247) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c2_1(a1250)
          & c3_1(a1250)
          & ~ c0_1(a1250) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c3_1(a1257)
          & ~ c0_1(a1257)
          & ~ c1_1(a1257) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a1259)
          & ~ c2_1(a1259)
          & ~ c3_1(a1259) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ c0_1(a1261)
          & ~ c2_1(a1261)
          & ~ c3_1(a1261) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c0_1(a1267)
          & ~ c1_1(a1267)
          & ~ c2_1(a1267) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a1204)
          & c2_1(a1204)
          & c3_1(a1204) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a1208)
          & c1_1(a1208)
          & c2_1(a1208) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c1_1(a1213)
          & c2_1(a1213)
          & c3_1(a1213) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a1214)
          & c1_1(a1214)
          & c3_1(a1214) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c2_1(X2)
              | ~ c3_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c3_1(X3)
              | ~ c1_1(X3) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c2_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c3_1(X5)
              | ~ c2_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | c2_1(X6)
              | ~ c0_1(X6) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | ~ c1_1(X8)
              | ~ c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c1_1(X9)
              | ~ c0_1(X9)
              | ~ c3_1(X9) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c2_1(X10) ) )
        | hskp25
        | hskp0 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c2_1(X11) ) )
        | hskp1
        | hskp2 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | c3_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | c2_1(X13)
              | ~ c3_1(X13) ) )
        | hskp26 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c2_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c2_1(X15)
              | c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | ~ c0_1(X16)
              | ~ c3_1(X16) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c2_1(X18)
              | c3_1(X18) ) )
        | hskp25 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c1_1(X19)
              | ~ c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | ~ c2_1(X20)
              | ~ c3_1(X20) ) )
        | hskp3 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c2_1(X22)
              | c3_1(X22)
              | ~ c0_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | ~ c2_1(X23)
              | ~ c3_1(X23) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c2_1(X25)
              | c3_1(X25)
              | ~ c0_1(X25) ) )
        | hskp4 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c1_1(X26)
              | ~ c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | ~ c0_1(X27)
              | ~ c2_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c0_1(X28)
              | ~ c1_1(X28)
              | ~ c3_1(X28) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c1_1(X29)
              | ~ c3_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c0_1(X30)
              | ~ c1_1(X30)
              | ~ c3_1(X30) ) )
        | hskp5 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | ~ c0_1(X32)
              | ~ c1_1(X32) ) )
        | hskp27 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c3_1(X34)
              | ~ c1_1(X34)
              | ~ c2_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c0_1(X35)
              | ~ c1_1(X35)
              | ~ c3_1(X35) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | c3_1(X36) ) )
        | hskp28 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | c3_1(X37) ) )
        | hskp6
        | hskp7 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c3_1(X39)
              | ~ c1_1(X39) ) )
        | hskp8 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c1_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c1_1(X41)
              | c3_1(X41)
              | ~ c0_1(X41) ) )
        | hskp25 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c2_1(X43)
              | ~ c1_1(X43)
              | ~ c3_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | ~ c1_1(X44)
              | ~ c2_1(X44) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c3_1(X45)
              | ~ c1_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | c3_1(X46)
              | ~ c0_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c2_1(X47)
              | c3_1(X47)
              | ~ c0_1(X47) ) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c3_1(X48)
              | ~ c1_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c0_1(X49)
              | ~ c2_1(X49)
              | ~ c3_1(X49) ) )
        | hskp9 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c3_1(X50)
              | ~ c1_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | ~ c2_1(X51)
              | ~ c3_1(X51) ) ) )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c3_1(X52)
              | ~ c1_1(X52) ) )
        | hskp27
        | hskp0 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c3_1(X53)
              | ~ c2_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c1_1(X54)
              | c3_1(X54)
              | ~ c0_1(X54) ) )
        | hskp0 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | c3_1(X55)
              | ~ c2_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c3_1(X56)
              | ~ c0_1(X56)
              | ~ c2_1(X56) ) )
        | hskp10 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | c3_1(X57)
              | ~ c2_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c0_1(X58)
              | ~ c1_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | ~ c2_1(X59)
              | ~ c3_1(X59) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | c3_1(X60)
              | ~ c2_1(X60) ) )
        | hskp11 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c2_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c2_1(X62)
              | ~ c0_1(X62)
              | ~ c1_1(X62) ) )
        | hskp1 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c1_1(X63)
              | ~ c3_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) )
        | hskp3 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c1_1(X65)
              | ~ c3_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | ~ c1_1(X66)
              | ~ c2_1(X66) ) )
        | hskp11 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c1_1(X67)
              | c2_1(X67)
              | c3_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c2_1(X68)
              | ~ c0_1(X68)
              | ~ c3_1(X68) ) )
        | hskp12 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | c3_1(X69) ) )
        | hskp13
        | hskp12 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | ~ c0_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c2_1(X71)
              | c3_1(X71)
              | ~ c0_1(X71) ) )
        | hskp10 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | ~ c0_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | c3_1(X73)
              | ~ c1_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c3_1(X74)
              | ~ c0_1(X74)
              | ~ c1_1(X74) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c2_1(X75)
              | ~ c0_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c3_1(X76)
              | ~ c0_1(X76)
              | ~ c2_1(X76) ) )
        | hskp14 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | ~ c3_1(X77) ) )
        | hskp15
        | hskp4 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | ~ c3_1(X78) ) )
        | hskp1
        | hskp16 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c3_1(X79)
              | ~ c0_1(X79) ) )
        | hskp17
        | hskp5 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c3_1(X80)
              | ~ c2_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | ~ c0_1(X81)
              | ~ c3_1(X81) ) )
        | hskp9 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c3_1(X82)
              | ~ c2_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | ~ c1_1(X83)
              | ~ c3_1(X83) ) )
        | hskp14 )
      & ( ! [X84] :
            ( ndr1_0
           => ( c1_1(X84)
              | c3_1(X84)
              | ~ c2_1(X84) ) )
        | hskp13
        | hskp6 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c3_1(X85)
              | ~ c2_1(X85) ) )
        | hskp13
        | hskp14 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | ~ c0_1(X86)
              | ~ c2_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c2_1(X87)
              | ~ c0_1(X87)
              | ~ c3_1(X87) ) )
        | hskp6 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c2_1(X88)
              | ~ c3_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | c3_1(X89)
              | ~ c1_1(X89) ) )
        | hskp18 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | ~ c2_1(X90)
              | ~ c3_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | ~ c0_1(X91)
              | ~ c1_1(X91) ) )
        | hskp19 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | c3_1(X92)
              | ~ c0_1(X92) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | ~ c1_1(X93)
              | ~ c2_1(X93) ) ) )
      & ( ! [X94] :
            ( ndr1_0
           => ( c2_1(X94)
              | c3_1(X94)
              | ~ c1_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( c3_1(X95)
              | ~ c1_1(X95)
              | ~ c2_1(X95) ) )
        | hskp0 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | c3_1(X96)
              | ~ c1_1(X96) ) )
        | hskp19
        | hskp20 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c0_1(X97)
              | ~ c1_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c0_1(X98)
              | ~ c1_1(X98)
              | ~ c2_1(X98) ) )
        | hskp8 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c2_1(X99)
              | ~ c0_1(X99)
              | ~ c1_1(X99) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | ~ c2_1(X100)
              | ~ c3_1(X100) ) )
        | hskp10 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c2_1(X101)
              | ~ c0_1(X101)
              | ~ c1_1(X101) ) )
        | hskp11
        | hskp8 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c2_1(X102)
              | ~ c0_1(X102)
              | ~ c3_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c2_1(X103)
              | ~ c3_1(X103) ) )
        | hskp3 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c3_1(X104)
              | ~ c1_1(X104)
              | ~ c2_1(X104) ) )
        | hskp0
        | hskp21 )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | ~ c1_1(X105)
              | ~ c2_1(X105) ) )
        | hskp13
        | hskp22 )
      & ( ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | ~ c1_1(X106)
              | ~ c2_1(X106) ) )
        | hskp0
        | hskp23 )
      & ( ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | ~ c1_1(X107)
              | ~ c3_1(X107) ) )
        | hskp2
        | hskp7 )
      & ( ! [X108] :
            ( ndr1_0
           => ( ~ c0_1(X108)
              | ~ c2_1(X108)
              | ~ c3_1(X108) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c2_1(X109)
              | ~ c3_1(X109) ) )
        | hskp1 )
      & ( hskp26
        | hskp28
        | hskp24 )
      & ( hskp26
        | hskp25
        | hskp1 )
      & ( hskp15
        | hskp6
        | hskp5 )
      & ( hskp3
        | hskp24
        | hskp7 )
      & ( hskp25
        | hskp21 )
      & ( hskp17
        | hskp12
        | hskp4 )
      & ( hskp24
        | hskp19
        | hskp14 )
      & ( hskp16
        | hskp20
        | hskp23 )
      & ( hskp22
        | hskp6
        | hskp8 )
      & ( hskp22
        | hskp6
        | hskp7 )
      & ( hskp27
        | hskp19
        | hskp2 )
      & ( hskp4
        | hskp18
        | hskp7 )
      & ( hskp18
        | hskp10
        | hskp2 )
      & ( hskp18
        | hskp14
        | hskp23 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c2_1(a1205)
            & ~ c0_1(a1205)
            & ~ c1_1(a1205) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a1206)
            & c2_1(a1206)
            & ~ c3_1(a1206) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c0_1(a1207)
            & ~ c1_1(a1207)
            & ~ c2_1(a1207) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a1210)
            & c1_1(a1210)
            & ~ c3_1(a1210) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a1211)
            & ~ c0_1(a1211)
            & ~ c2_1(a1211) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a1212)
            & ~ c0_1(a1212)
            & ~ c3_1(a1212) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c1_1(a1215)
            & c2_1(a1215)
            & ~ c3_1(a1215) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & ~ c1_1(a1216)
            & ~ c2_1(a1216)
            & ~ c3_1(a1216) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & ~ c0_1(a1217)
            & ~ c1_1(a1217)
            & ~ c3_1(a1217) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c1_1(a1219)
            & c2_1(a1219)
            & ~ c0_1(a1219) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c2_1(a1223)
            & ~ c1_1(a1223)
            & ~ c3_1(a1223) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c1_1(a1224)
            & c3_1(a1224)
            & ~ c2_1(a1224) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a1228)
            & c3_1(a1228)
            & ~ c2_1(a1228) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a1229)
            & c2_1(a1229)
            & ~ c1_1(a1229) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c3_1(a1232)
            & ~ c0_1(a1232)
            & ~ c2_1(a1232) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a1233)
            & c1_1(a1233)
            & ~ c2_1(a1233) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a1236)
            & ~ c1_1(a1236)
            & ~ c3_1(a1236) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c0_1(a1237)
            & c3_1(a1237)
            & ~ c1_1(a1237) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c2_1(a1246)
            & c3_1(a1246)
            & ~ c1_1(a1246) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a1247)
            & ~ c2_1(a1247)
            & ~ c3_1(a1247) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c2_1(a1250)
            & c3_1(a1250)
            & ~ c0_1(a1250) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c3_1(a1257)
            & ~ c0_1(a1257)
            & ~ c1_1(a1257) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a1259)
            & ~ c2_1(a1259)
            & ~ c3_1(a1259) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & ~ c0_1(a1261)
            & ~ c2_1(a1261)
            & ~ c3_1(a1261) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c0_1(a1267)
            & ~ c1_1(a1267)
            & ~ c2_1(a1267) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a1204)
            & c2_1(a1204)
            & c3_1(a1204) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a1208)
            & c1_1(a1208)
            & c2_1(a1208) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c1_1(a1213)
            & c2_1(a1213)
            & c3_1(a1213) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a1214)
            & c1_1(a1214)
            & c3_1(a1214) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c2_1(X2)
                | ~ c3_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c3_1(X3)
                | ~ c1_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c3_1(X5)
                | ~ c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c2_1(X6)
                | ~ c0_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | ~ c1_1(X8)
                | ~ c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | ~ c0_1(X9)
                | ~ c3_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | hskp25
          | hskp0 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c2_1(X11) ) )
          | hskp1
          | hskp2 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | c2_1(X13)
                | ~ c3_1(X13) ) )
          | hskp26 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c2_1(X15)
                | c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | ~ c0_1(X16)
                | ~ c3_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c2_1(X18)
                | c3_1(X18) ) )
          | hskp25 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c1_1(X19)
                | ~ c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | ~ c2_1(X20)
                | ~ c3_1(X20) ) )
          | hskp3 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c2_1(X22)
                | c3_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | ~ c2_1(X23)
                | ~ c3_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | c3_1(X25)
                | ~ c0_1(X25) ) )
          | hskp4 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c1_1(X26)
                | ~ c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | ~ c0_1(X27)
                | ~ c2_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | ~ c1_1(X28)
                | ~ c3_1(X28) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c1_1(X29)
                | ~ c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | ~ c1_1(X30)
                | ~ c3_1(X30) ) )
          | hskp5 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | ~ c0_1(X32)
                | ~ c1_1(X32) ) )
          | hskp27 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c3_1(X34)
                | ~ c1_1(X34)
                | ~ c2_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | ~ c1_1(X35)
                | ~ c3_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | c3_1(X36) ) )
          | hskp28 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | c3_1(X37) ) )
          | hskp6
          | hskp7 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c3_1(X39)
                | ~ c1_1(X39) ) )
          | hskp8 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | c3_1(X41)
                | ~ c0_1(X41) ) )
          | hskp25 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c2_1(X43)
                | ~ c1_1(X43)
                | ~ c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | ~ c1_1(X44)
                | ~ c2_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c3_1(X46)
                | ~ c0_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | c3_1(X47)
                | ~ c0_1(X47) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | ~ c2_1(X49)
                | ~ c3_1(X49) ) )
          | hskp9 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c3_1(X50)
                | ~ c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | ~ c2_1(X51)
                | ~ c3_1(X51) ) ) )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c3_1(X52)
                | ~ c1_1(X52) ) )
          | hskp27
          | hskp0 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c3_1(X53)
                | ~ c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | c3_1(X54)
                | ~ c0_1(X54) ) )
          | hskp0 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | c3_1(X55)
                | ~ c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | ~ c0_1(X56)
                | ~ c2_1(X56) ) )
          | hskp10 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | c3_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | ~ c1_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | ~ c2_1(X59)
                | ~ c3_1(X59) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | c3_1(X60)
                | ~ c2_1(X60) ) )
          | hskp11 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c2_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c2_1(X62)
                | ~ c0_1(X62)
                | ~ c1_1(X62) ) )
          | hskp1 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c1_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | hskp3 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c1_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | ~ c1_1(X66)
                | ~ c2_1(X66) ) )
          | hskp11 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | c2_1(X67)
                | c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | ~ c0_1(X68)
                | ~ c3_1(X68) ) )
          | hskp12 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | c3_1(X69) ) )
          | hskp13
          | hskp12 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | ~ c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | c3_1(X71)
                | ~ c0_1(X71) ) )
          | hskp10 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c3_1(X73)
                | ~ c1_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | ~ c0_1(X74)
                | ~ c1_1(X74) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c2_1(X75)
                | ~ c0_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | ~ c0_1(X76)
                | ~ c2_1(X76) ) )
          | hskp14 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | ~ c3_1(X77) ) )
          | hskp15
          | hskp4 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | ~ c3_1(X78) ) )
          | hskp1
          | hskp16 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c3_1(X79)
                | ~ c0_1(X79) ) )
          | hskp17
          | hskp5 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | ~ c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | ~ c0_1(X81)
                | ~ c3_1(X81) ) )
          | hskp9 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c3_1(X82)
                | ~ c2_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | ~ c1_1(X83)
                | ~ c3_1(X83) ) )
          | hskp14 )
        & ( ! [X84] :
              ( ndr1_0
             => ( c1_1(X84)
                | c3_1(X84)
                | ~ c2_1(X84) ) )
          | hskp13
          | hskp6 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c3_1(X85)
                | ~ c2_1(X85) ) )
          | hskp13
          | hskp14 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | ~ c0_1(X86)
                | ~ c2_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | ~ c0_1(X87)
                | ~ c3_1(X87) ) )
          | hskp6 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c2_1(X88)
                | ~ c3_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c3_1(X89)
                | ~ c1_1(X89) ) )
          | hskp18 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c2_1(X90)
                | ~ c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | ~ c0_1(X91)
                | ~ c1_1(X91) ) )
          | hskp19 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c3_1(X92)
                | ~ c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | ~ c1_1(X93)
                | ~ c2_1(X93) ) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | c3_1(X94)
                | ~ c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c3_1(X95)
                | ~ c1_1(X95)
                | ~ c2_1(X95) ) )
          | hskp0 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | c3_1(X96)
                | ~ c1_1(X96) ) )
          | hskp19
          | hskp20 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c1_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | ~ c1_1(X98)
                | ~ c2_1(X98) ) )
          | hskp8 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c0_1(X99)
                | ~ c1_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | ~ c2_1(X100)
                | ~ c3_1(X100) ) )
          | hskp10 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | ~ c0_1(X101)
                | ~ c1_1(X101) ) )
          | hskp11
          | hskp8 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | ~ c0_1(X102)
                | ~ c3_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp3 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c1_1(X104)
                | ~ c2_1(X104) ) )
          | hskp0
          | hskp21 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c1_1(X105)
                | ~ c2_1(X105) ) )
          | hskp13
          | hskp22 )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | ~ c1_1(X106)
                | ~ c2_1(X106) ) )
          | hskp0
          | hskp23 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | ~ c1_1(X107)
                | ~ c3_1(X107) ) )
          | hskp2
          | hskp7 )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c0_1(X108)
                | ~ c2_1(X108)
                | ~ c3_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c2_1(X109)
                | ~ c3_1(X109) ) )
          | hskp1 )
        & ( hskp26
          | hskp28
          | hskp24 )
        & ( hskp26
          | hskp25
          | hskp1 )
        & ( hskp15
          | hskp6
          | hskp5 )
        & ( hskp3
          | hskp24
          | hskp7 )
        & ( hskp25
          | hskp21 )
        & ( hskp17
          | hskp12
          | hskp4 )
        & ( hskp24
          | hskp19
          | hskp14 )
        & ( hskp16
          | hskp20
          | hskp23 )
        & ( hskp22
          | hskp6
          | hskp8 )
        & ( hskp22
          | hskp6
          | hskp7 )
        & ( hskp27
          | hskp19
          | hskp2 )
        & ( hskp4
          | hskp18
          | hskp7 )
        & ( hskp18
          | hskp10
          | hskp2 )
        & ( hskp18
          | hskp14
          | hskp23 ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_2,negated_conjecture,
    ! [X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231,X232,X233,X234,X235,X236,X237,X238,X239,X240,X241,X242,X243,X244,X245,X246,X247,X248,X249,X250,X251,X252,X253,X254,X255,X256,X257,X258,X259,X260,X261,X262,X263,X264,X265,X266,X267,X268,X269,X270,X271,X272,X273,X274,X275,X276,X277,X278,X279,X280,X281,X282,X283,X284,X285,X286,X287,X288,X289,X290,X291,X292,X293,X294,X295,X296,X297,X298,X299,X300,X301,X302,X303,X304,X305,X306,X307,X308,X309,X310,X311,X312,X313,X314,X315,X316,X317,X318,X319,X320,X321,X322,X323,X324,X325,X326,X327] :
      ( ( ndr1_0
        | ~ hskp0 )
      & ( c2_1(a1205)
        | ~ hskp0 )
      & ( ~ c0_1(a1205)
        | ~ hskp0 )
      & ( ~ c1_1(a1205)
        | ~ hskp0 )
      & ( ndr1_0
        | ~ hskp1 )
      & ( c0_1(a1206)
        | ~ hskp1 )
      & ( c2_1(a1206)
        | ~ hskp1 )
      & ( ~ c3_1(a1206)
        | ~ hskp1 )
      & ( ndr1_0
        | ~ hskp2 )
      & ( ~ c0_1(a1207)
        | ~ hskp2 )
      & ( ~ c1_1(a1207)
        | ~ hskp2 )
      & ( ~ c2_1(a1207)
        | ~ hskp2 )
      & ( ndr1_0
        | ~ hskp3 )
      & ( c0_1(a1210)
        | ~ hskp3 )
      & ( c1_1(a1210)
        | ~ hskp3 )
      & ( ~ c3_1(a1210)
        | ~ hskp3 )
      & ( ndr1_0
        | ~ hskp4 )
      & ( c1_1(a1211)
        | ~ hskp4 )
      & ( ~ c0_1(a1211)
        | ~ hskp4 )
      & ( ~ c2_1(a1211)
        | ~ hskp4 )
      & ( ndr1_0
        | ~ hskp5 )
      & ( c2_1(a1212)
        | ~ hskp5 )
      & ( ~ c0_1(a1212)
        | ~ hskp5 )
      & ( ~ c3_1(a1212)
        | ~ hskp5 )
      & ( ndr1_0
        | ~ hskp6 )
      & ( c1_1(a1215)
        | ~ hskp6 )
      & ( c2_1(a1215)
        | ~ hskp6 )
      & ( ~ c3_1(a1215)
        | ~ hskp6 )
      & ( ndr1_0
        | ~ hskp7 )
      & ( ~ c1_1(a1216)
        | ~ hskp7 )
      & ( ~ c2_1(a1216)
        | ~ hskp7 )
      & ( ~ c3_1(a1216)
        | ~ hskp7 )
      & ( ndr1_0
        | ~ hskp8 )
      & ( ~ c0_1(a1217)
        | ~ hskp8 )
      & ( ~ c1_1(a1217)
        | ~ hskp8 )
      & ( ~ c3_1(a1217)
        | ~ hskp8 )
      & ( ndr1_0
        | ~ hskp9 )
      & ( c1_1(a1219)
        | ~ hskp9 )
      & ( c2_1(a1219)
        | ~ hskp9 )
      & ( ~ c0_1(a1219)
        | ~ hskp9 )
      & ( ndr1_0
        | ~ hskp10 )
      & ( c2_1(a1223)
        | ~ hskp10 )
      & ( ~ c1_1(a1223)
        | ~ hskp10 )
      & ( ~ c3_1(a1223)
        | ~ hskp10 )
      & ( ndr1_0
        | ~ hskp11 )
      & ( c1_1(a1224)
        | ~ hskp11 )
      & ( c3_1(a1224)
        | ~ hskp11 )
      & ( ~ c2_1(a1224)
        | ~ hskp11 )
      & ( ndr1_0
        | ~ hskp12 )
      & ( c0_1(a1228)
        | ~ hskp12 )
      & ( c3_1(a1228)
        | ~ hskp12 )
      & ( ~ c2_1(a1228)
        | ~ hskp12 )
      & ( ndr1_0
        | ~ hskp13 )
      & ( c0_1(a1229)
        | ~ hskp13 )
      & ( c2_1(a1229)
        | ~ hskp13 )
      & ( ~ c1_1(a1229)
        | ~ hskp13 )
      & ( ndr1_0
        | ~ hskp14 )
      & ( c3_1(a1232)
        | ~ hskp14 )
      & ( ~ c0_1(a1232)
        | ~ hskp14 )
      & ( ~ c2_1(a1232)
        | ~ hskp14 )
      & ( ndr1_0
        | ~ hskp15 )
      & ( c0_1(a1233)
        | ~ hskp15 )
      & ( c1_1(a1233)
        | ~ hskp15 )
      & ( ~ c2_1(a1233)
        | ~ hskp15 )
      & ( ndr1_0
        | ~ hskp16 )
      & ( c0_1(a1236)
        | ~ hskp16 )
      & ( ~ c1_1(a1236)
        | ~ hskp16 )
      & ( ~ c3_1(a1236)
        | ~ hskp16 )
      & ( ndr1_0
        | ~ hskp17 )
      & ( c0_1(a1237)
        | ~ hskp17 )
      & ( c3_1(a1237)
        | ~ hskp17 )
      & ( ~ c1_1(a1237)
        | ~ hskp17 )
      & ( ndr1_0
        | ~ hskp18 )
      & ( c2_1(a1246)
        | ~ hskp18 )
      & ( c3_1(a1246)
        | ~ hskp18 )
      & ( ~ c1_1(a1246)
        | ~ hskp18 )
      & ( ndr1_0
        | ~ hskp19 )
      & ( c1_1(a1247)
        | ~ hskp19 )
      & ( ~ c2_1(a1247)
        | ~ hskp19 )
      & ( ~ c3_1(a1247)
        | ~ hskp19 )
      & ( ndr1_0
        | ~ hskp20 )
      & ( c2_1(a1250)
        | ~ hskp20 )
      & ( c3_1(a1250)
        | ~ hskp20 )
      & ( ~ c0_1(a1250)
        | ~ hskp20 )
      & ( ndr1_0
        | ~ hskp21 )
      & ( c3_1(a1257)
        | ~ hskp21 )
      & ( ~ c0_1(a1257)
        | ~ hskp21 )
      & ( ~ c1_1(a1257)
        | ~ hskp21 )
      & ( ndr1_0
        | ~ hskp22 )
      & ( c0_1(a1259)
        | ~ hskp22 )
      & ( ~ c2_1(a1259)
        | ~ hskp22 )
      & ( ~ c3_1(a1259)
        | ~ hskp22 )
      & ( ndr1_0
        | ~ hskp23 )
      & ( ~ c0_1(a1261)
        | ~ hskp23 )
      & ( ~ c2_1(a1261)
        | ~ hskp23 )
      & ( ~ c3_1(a1261)
        | ~ hskp23 )
      & ( ndr1_0
        | ~ hskp24 )
      & ( c0_1(a1267)
        | ~ hskp24 )
      & ( ~ c1_1(a1267)
        | ~ hskp24 )
      & ( ~ c2_1(a1267)
        | ~ hskp24 )
      & ( ndr1_0
        | ~ hskp25 )
      & ( c0_1(a1204)
        | ~ hskp25 )
      & ( c2_1(a1204)
        | ~ hskp25 )
      & ( c3_1(a1204)
        | ~ hskp25 )
      & ( ndr1_0
        | ~ hskp26 )
      & ( c0_1(a1208)
        | ~ hskp26 )
      & ( c1_1(a1208)
        | ~ hskp26 )
      & ( c2_1(a1208)
        | ~ hskp26 )
      & ( ndr1_0
        | ~ hskp27 )
      & ( c1_1(a1213)
        | ~ hskp27 )
      & ( c2_1(a1213)
        | ~ hskp27 )
      & ( c3_1(a1213)
        | ~ hskp27 )
      & ( ndr1_0
        | ~ hskp28 )
      & ( c0_1(a1214)
        | ~ hskp28 )
      & ( c1_1(a1214)
        | ~ hskp28 )
      & ( c3_1(a1214)
        | ~ hskp28 )
      & ( ~ ndr1_0
        | c0_1(X219)
        | c1_1(X219)
        | c2_1(X219)
        | ~ ndr1_0
        | c0_1(X220)
        | c2_1(X220)
        | ~ c3_1(X220)
        | ~ ndr1_0
        | c0_1(X221)
        | c3_1(X221)
        | ~ c1_1(X221) )
      & ( ~ ndr1_0
        | c0_1(X222)
        | c1_1(X222)
        | c2_1(X222)
        | ~ ndr1_0
        | c0_1(X223)
        | c3_1(X223)
        | ~ c2_1(X223)
        | ~ ndr1_0
        | c1_1(X224)
        | c2_1(X224)
        | ~ c0_1(X224) )
      & ( ~ ndr1_0
        | c0_1(X225)
        | c1_1(X225)
        | c2_1(X225)
        | ~ ndr1_0
        | c0_1(X226)
        | ~ c1_1(X226)
        | ~ c2_1(X226)
        | ~ ndr1_0
        | c1_1(X227)
        | ~ c0_1(X227)
        | ~ c3_1(X227) )
      & ( ~ ndr1_0
        | c0_1(X228)
        | c1_1(X228)
        | c2_1(X228)
        | hskp25
        | hskp0 )
      & ( ~ ndr1_0
        | c0_1(X229)
        | c1_1(X229)
        | c2_1(X229)
        | hskp1
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X230)
        | c1_1(X230)
        | c3_1(X230)
        | ~ ndr1_0
        | c1_1(X231)
        | c2_1(X231)
        | ~ c3_1(X231)
        | hskp26 )
      & ( ~ ndr1_0
        | c0_1(X232)
        | c1_1(X232)
        | ~ c2_1(X232)
        | ~ ndr1_0
        | c0_1(X233)
        | c2_1(X233)
        | c3_1(X233)
        | ~ ndr1_0
        | c2_1(X234)
        | ~ c0_1(X234)
        | ~ c3_1(X234) )
      & ( ~ ndr1_0
        | c0_1(X235)
        | c1_1(X235)
        | ~ c2_1(X235)
        | ~ ndr1_0
        | c0_1(X236)
        | c2_1(X236)
        | c3_1(X236)
        | hskp25 )
      & ( ~ ndr1_0
        | c0_1(X237)
        | c1_1(X237)
        | ~ c3_1(X237)
        | ~ ndr1_0
        | c0_1(X238)
        | ~ c2_1(X238)
        | ~ c3_1(X238)
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X239)
        | c1_1(X239)
        | ~ c3_1(X239)
        | ~ ndr1_0
        | c2_1(X240)
        | c3_1(X240)
        | ~ c0_1(X240)
        | ~ ndr1_0
        | ~ c0_1(X241)
        | ~ c2_1(X241)
        | ~ c3_1(X241) )
      & ( ~ ndr1_0
        | c0_1(X242)
        | c1_1(X242)
        | ~ c3_1(X242)
        | ~ ndr1_0
        | c2_1(X243)
        | c3_1(X243)
        | ~ c0_1(X243)
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X244)
        | c1_1(X244)
        | ~ c3_1(X244)
        | ~ ndr1_0
        | c3_1(X245)
        | ~ c0_1(X245)
        | ~ c2_1(X245)
        | ~ ndr1_0
        | ~ c0_1(X246)
        | ~ c1_1(X246)
        | ~ c3_1(X246) )
      & ( ~ ndr1_0
        | c0_1(X247)
        | c1_1(X247)
        | ~ c3_1(X247)
        | ~ ndr1_0
        | ~ c0_1(X248)
        | ~ c1_1(X248)
        | ~ c3_1(X248)
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X249)
        | c2_1(X249)
        | c3_1(X249)
        | ~ ndr1_0
        | c2_1(X250)
        | ~ c0_1(X250)
        | ~ c1_1(X250)
        | hskp27 )
      & ( ~ ndr1_0
        | c0_1(X251)
        | c2_1(X251)
        | c3_1(X251)
        | ~ ndr1_0
        | c3_1(X252)
        | ~ c1_1(X252)
        | ~ c2_1(X252)
        | ~ ndr1_0
        | ~ c0_1(X253)
        | ~ c1_1(X253)
        | ~ c3_1(X253) )
      & ( ~ ndr1_0
        | c0_1(X254)
        | c2_1(X254)
        | c3_1(X254)
        | hskp28 )
      & ( ~ ndr1_0
        | c0_1(X255)
        | c2_1(X255)
        | c3_1(X255)
        | hskp6
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X256)
        | c2_1(X256)
        | ~ c1_1(X256)
        | ~ ndr1_0
        | c0_1(X257)
        | c3_1(X257)
        | ~ c1_1(X257)
        | hskp8 )
      & ( ~ ndr1_0
        | c0_1(X258)
        | c2_1(X258)
        | ~ c1_1(X258)
        | ~ ndr1_0
        | c1_1(X259)
        | c3_1(X259)
        | ~ c0_1(X259)
        | hskp25 )
      & ( ~ ndr1_0
        | c0_1(X260)
        | c2_1(X260)
        | ~ c3_1(X260)
        | ~ ndr1_0
        | c2_1(X261)
        | ~ c1_1(X261)
        | ~ c3_1(X261)
        | ~ ndr1_0
        | ~ c0_1(X262)
        | ~ c1_1(X262)
        | ~ c2_1(X262) )
      & ( ~ ndr1_0
        | c0_1(X263)
        | c3_1(X263)
        | ~ c1_1(X263)
        | ~ ndr1_0
        | c1_1(X264)
        | c3_1(X264)
        | ~ c0_1(X264)
        | ~ ndr1_0
        | c2_1(X265)
        | c3_1(X265)
        | ~ c0_1(X265) )
      & ( ~ ndr1_0
        | c0_1(X266)
        | c3_1(X266)
        | ~ c1_1(X266)
        | ~ ndr1_0
        | ~ c0_1(X267)
        | ~ c2_1(X267)
        | ~ c3_1(X267)
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X268)
        | c3_1(X268)
        | ~ c1_1(X268)
        | ~ ndr1_0
        | ~ c1_1(X269)
        | ~ c2_1(X269)
        | ~ c3_1(X269) )
      & ( ~ ndr1_0
        | c0_1(X270)
        | c3_1(X270)
        | ~ c1_1(X270)
        | hskp27
        | hskp0 )
      & ( ~ ndr1_0
        | c0_1(X271)
        | c3_1(X271)
        | ~ c2_1(X271)
        | ~ ndr1_0
        | c1_1(X272)
        | c3_1(X272)
        | ~ c0_1(X272)
        | hskp0 )
      & ( ~ ndr1_0
        | c0_1(X273)
        | c3_1(X273)
        | ~ c2_1(X273)
        | ~ ndr1_0
        | c3_1(X274)
        | ~ c0_1(X274)
        | ~ c2_1(X274)
        | hskp10 )
      & ( ~ ndr1_0
        | c0_1(X275)
        | c3_1(X275)
        | ~ c2_1(X275)
        | ~ ndr1_0
        | ~ c0_1(X276)
        | ~ c1_1(X276)
        | ~ c3_1(X276)
        | ~ ndr1_0
        | ~ c1_1(X277)
        | ~ c2_1(X277)
        | ~ c3_1(X277) )
      & ( ~ ndr1_0
        | c0_1(X278)
        | c3_1(X278)
        | ~ c2_1(X278)
        | hskp11 )
      & ( ~ ndr1_0
        | c0_1(X279)
        | ~ c1_1(X279)
        | ~ c2_1(X279)
        | ~ ndr1_0
        | c2_1(X280)
        | ~ c0_1(X280)
        | ~ c1_1(X280)
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X281)
        | ~ c1_1(X281)
        | ~ c3_1(X281)
        | ~ ndr1_0
        | c0_1(X282)
        | ~ c2_1(X282)
        | ~ c3_1(X282)
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X283)
        | ~ c1_1(X283)
        | ~ c3_1(X283)
        | ~ ndr1_0
        | c3_1(X284)
        | ~ c1_1(X284)
        | ~ c2_1(X284)
        | hskp11 )
      & ( ~ ndr1_0
        | c1_1(X285)
        | c2_1(X285)
        | c3_1(X285)
        | ~ ndr1_0
        | c2_1(X286)
        | ~ c0_1(X286)
        | ~ c3_1(X286)
        | hskp12 )
      & ( ~ ndr1_0
        | c1_1(X287)
        | c2_1(X287)
        | c3_1(X287)
        | hskp13
        | hskp12 )
      & ( ~ ndr1_0
        | c1_1(X288)
        | c2_1(X288)
        | ~ c0_1(X288)
        | ~ ndr1_0
        | c2_1(X289)
        | c3_1(X289)
        | ~ c0_1(X289)
        | hskp10 )
      & ( ~ ndr1_0
        | c1_1(X290)
        | c2_1(X290)
        | ~ c0_1(X290)
        | ~ ndr1_0
        | c2_1(X291)
        | c3_1(X291)
        | ~ c1_1(X291)
        | ~ ndr1_0
        | c3_1(X292)
        | ~ c0_1(X292)
        | ~ c1_1(X292) )
      & ( ~ ndr1_0
        | c1_1(X293)
        | c2_1(X293)
        | ~ c0_1(X293)
        | ~ ndr1_0
        | c3_1(X294)
        | ~ c0_1(X294)
        | ~ c2_1(X294)
        | hskp14 )
      & ( ~ ndr1_0
        | c1_1(X295)
        | c2_1(X295)
        | ~ c3_1(X295)
        | hskp15
        | hskp4 )
      & ( ~ ndr1_0
        | c1_1(X296)
        | c2_1(X296)
        | ~ c3_1(X296)
        | hskp1
        | hskp16 )
      & ( ~ ndr1_0
        | c1_1(X297)
        | c3_1(X297)
        | ~ c0_1(X297)
        | hskp17
        | hskp5 )
      & ( ~ ndr1_0
        | c1_1(X298)
        | c3_1(X298)
        | ~ c2_1(X298)
        | ~ ndr1_0
        | c1_1(X299)
        | ~ c0_1(X299)
        | ~ c3_1(X299)
        | hskp9 )
      & ( ~ ndr1_0
        | c1_1(X300)
        | c3_1(X300)
        | ~ c2_1(X300)
        | ~ ndr1_0
        | c2_1(X301)
        | ~ c1_1(X301)
        | ~ c3_1(X301)
        | hskp14 )
      & ( ~ ndr1_0
        | c1_1(X302)
        | c3_1(X302)
        | ~ c2_1(X302)
        | hskp13
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X303)
        | c3_1(X303)
        | ~ c2_1(X303)
        | hskp13
        | hskp14 )
      & ( ~ ndr1_0
        | c1_1(X304)
        | ~ c0_1(X304)
        | ~ c2_1(X304)
        | ~ ndr1_0
        | c2_1(X305)
        | ~ c0_1(X305)
        | ~ c3_1(X305)
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X306)
        | ~ c2_1(X306)
        | ~ c3_1(X306)
        | ~ ndr1_0
        | c2_1(X307)
        | c3_1(X307)
        | ~ c1_1(X307)
        | hskp18 )
      & ( ~ ndr1_0
        | c1_1(X308)
        | ~ c2_1(X308)
        | ~ c3_1(X308)
        | ~ ndr1_0
        | c2_1(X309)
        | ~ c0_1(X309)
        | ~ c1_1(X309)
        | hskp19 )
      & ( ~ ndr1_0
        | c2_1(X310)
        | c3_1(X310)
        | ~ c0_1(X310)
        | ~ ndr1_0
        | ~ c0_1(X311)
        | ~ c1_1(X311)
        | ~ c2_1(X311) )
      & ( ~ ndr1_0
        | c2_1(X312)
        | c3_1(X312)
        | ~ c1_1(X312)
        | ~ ndr1_0
        | c3_1(X313)
        | ~ c1_1(X313)
        | ~ c2_1(X313)
        | hskp0 )
      & ( ~ ndr1_0
        | c2_1(X314)
        | c3_1(X314)
        | ~ c1_1(X314)
        | hskp19
        | hskp20 )
      & ( ~ ndr1_0
        | c2_1(X315)
        | ~ c0_1(X315)
        | ~ c1_1(X315)
        | ~ ndr1_0
        | ~ c0_1(X316)
        | ~ c1_1(X316)
        | ~ c2_1(X316)
        | hskp8 )
      & ( ~ ndr1_0
        | c2_1(X317)
        | ~ c0_1(X317)
        | ~ c1_1(X317)
        | ~ ndr1_0
        | ~ c0_1(X318)
        | ~ c2_1(X318)
        | ~ c3_1(X318)
        | hskp10 )
      & ( ~ ndr1_0
        | c2_1(X319)
        | ~ c0_1(X319)
        | ~ c1_1(X319)
        | hskp11
        | hskp8 )
      & ( ~ ndr1_0
        | c2_1(X320)
        | ~ c0_1(X320)
        | ~ c3_1(X320)
        | ~ ndr1_0
        | ~ c1_1(X321)
        | ~ c2_1(X321)
        | ~ c3_1(X321)
        | hskp3 )
      & ( ~ ndr1_0
        | c3_1(X322)
        | ~ c1_1(X322)
        | ~ c2_1(X322)
        | hskp0
        | hskp21 )
      & ( ~ ndr1_0
        | ~ c0_1(X323)
        | ~ c1_1(X323)
        | ~ c2_1(X323)
        | hskp13
        | hskp22 )
      & ( ~ ndr1_0
        | ~ c0_1(X324)
        | ~ c1_1(X324)
        | ~ c2_1(X324)
        | hskp0
        | hskp23 )
      & ( ~ ndr1_0
        | ~ c0_1(X325)
        | ~ c1_1(X325)
        | ~ c3_1(X325)
        | hskp2
        | hskp7 )
      & ( ~ ndr1_0
        | ~ c0_1(X326)
        | ~ c2_1(X326)
        | ~ c3_1(X326)
        | ~ ndr1_0
        | ~ c1_1(X327)
        | ~ c2_1(X327)
        | ~ c3_1(X327)
        | hskp1 )
      & ( hskp26
        | hskp28
        | hskp24 )
      & ( hskp26
        | hskp25
        | hskp1 )
      & ( hskp15
        | hskp6
        | hskp5 )
      & ( hskp3
        | hskp24
        | hskp7 )
      & ( hskp25
        | hskp21 )
      & ( hskp17
        | hskp12
        | hskp4 )
      & ( hskp24
        | hskp19
        | hskp14 )
      & ( hskp16
        | hskp20
        | hskp23 )
      & ( hskp22
        | hskp6
        | hskp8 )
      & ( hskp22
        | hskp6
        | hskp7 )
      & ( hskp27
        | hskp19
        | hskp2 )
      & ( hskp4
        | hskp18
        | hskp7 )
      & ( hskp18
        | hskp10
        | hskp2 )
      & ( hskp18
        | hskp14
        | hskp23 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( hskp25
    | hskp21 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( ndr1_0
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_6,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_7,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp28
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_9,plain,
    ( ~ epred58_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_10,plain,
    ( ~ epred38_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_11,negated_conjecture,
    ( ~ c3_1(a1247)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12,negated_conjecture,
    ( epred1_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_6]),c_0_7])]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ c2_1(a1247)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_14,negated_conjecture,
    ( hskp28
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7])]) ).

fof(c_0_15,plain,
    ( ~ epred16_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_16,negated_conjecture,
    ( epred58_0
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_9]),c_0_7])]) ).

cnf(c_0_17,negated_conjecture,
    ( epred38_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_10]) ).

cnf(c_0_18,negated_conjecture,
    ( c1_1(a1214)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_19,negated_conjecture,
    ( c0_1(a1214)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_20,negated_conjecture,
    ( c3_1(a1214)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_21,negated_conjecture,
    ( epred1_0
    | ~ hskp19
    | ~ c0_1(a1247) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).

cnf(c_0_22,negated_conjecture,
    ( hskp28
    | c0_1(a1247)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_14]),c_0_13]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ c1_1(a1267)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_24,negated_conjecture,
    ( epred16_0
    | c1_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_15]) ).

cnf(c_0_25,negated_conjecture,
    ( c0_1(a1267)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ c2_1(a1267)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ c0_1(a1232)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_28,negated_conjecture,
    ( epred58_0
    | hskp28
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_14]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ c2_1(a1232)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_30,negated_conjecture,
    ( epred38_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]) ).

cnf(c_0_31,negated_conjecture,
    ( epred1_0
    | hskp28
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_32,negated_conjecture,
    ( epred16_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]) ).

cnf(c_0_33,negated_conjecture,
    ( hskp24
    | hskp19
    | hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_34,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_35,negated_conjecture,
    ( hskp26
    | hskp28
    | hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_36,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_37,negated_conjecture,
    ( epred58_0
    | hskp28
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

cnf(c_0_38,negated_conjecture,
    ( epred38_0
    | epred1_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_39,negated_conjecture,
    ( epred16_0
    | hskp19
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_40,negated_conjecture,
    ( epred2_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    ( c1_1(a1208)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_42,negated_conjecture,
    ( c2_1(a1208)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_43,negated_conjecture,
    ( c0_1(a1208)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_44,negated_conjecture,
    ( epred38_0
    | hskp26
    | hskp24 ),
    inference(spm,[status(thm)],[c_0_30,c_0_35]) ).

fof(c_0_45,plain,
    ( ~ epred41_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_46,plain,
    ( ~ epred59_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_47,plain,
    ( ~ epred43_0
  <=> ! [X1] :
        ( c0_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_48,negated_conjecture,
    ( ~ c3_1(a1216)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ c2_1(a1216)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_50,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | hskp14
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_51,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_36]) ).

cnf(c_0_52,negated_conjecture,
    ( epred58_0
    | epred38_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_30,c_0_37]) ).

cnf(c_0_53,negated_conjecture,
    ( epred38_0
    | epred16_0
    | epred1_0
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_54,negated_conjecture,
    ( epred2_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43]) ).

cnf(c_0_55,negated_conjecture,
    ( epred38_0
    | epred16_0
    | hskp26 ),
    inference(spm,[status(thm)],[c_0_32,c_0_44]) ).

fof(c_0_56,plain,
    ( ~ epred12_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_57,negated_conjecture,
    ( epred41_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_45]) ).

cnf(c_0_58,negated_conjecture,
    ( epred59_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_46]),c_0_7])]) ).

cnf(c_0_59,negated_conjecture,
    ( c1_1(a1213)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_60,negated_conjecture,
    ( c3_1(a1213)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_61,negated_conjecture,
    ( epred43_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_47]) ).

cnf(c_0_62,negated_conjecture,
    ( c1_1(a1224)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_63,negated_conjecture,
    ( c3_1(a1224)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_64,plain,
    ( ~ epred42_0
  <=> ! [X2] :
        ( c3_1(X2)
        | hskp11
        | ~ ndr1_0
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_65,negated_conjecture,
    ( epred1_0
    | ~ hskp7
    | ~ c0_1(a1216) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_12]),c_0_49]) ).

cnf(c_0_66,negated_conjecture,
    ( hskp28
    | c0_1(a1216)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_14]),c_0_49]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ c3_1(a1259)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_68,negated_conjecture,
    ( c0_1(a1259)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_69,negated_conjecture,
    ( ~ c2_1(a1259)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_70,plain,
    ( ~ epred32_0
  <=> ! [X2] :
        ( c3_1(X2)
        | hskp14
        | ~ ndr1_0
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_71,negated_conjecture,
    ( hskp14
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[c_0_50]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_51,c_0_6]),c_0_34]) ).

cnf(c_0_73,negated_conjecture,
    ( epred58_0
    | epred38_0
    | epred16_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_74,negated_conjecture,
    ( epred38_0
    | epred16_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ c1_1(a1257)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_76,negated_conjecture,
    ( epred12_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_56]) ).

cnf(c_0_77,negated_conjecture,
    ( c3_1(a1257)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ c0_1(a1257)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_79,negated_conjecture,
    ( epred59_0
    | epred41_0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_80,negated_conjecture,
    ( epred38_0
    | ~ hskp27
    | ~ c0_1(a1213) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_59]),c_0_60]) ).

cnf(c_0_81,negated_conjecture,
    ( epred43_0
    | c0_1(a1213)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_59]),c_0_60]) ).

cnf(c_0_82,negated_conjecture,
    ( epred38_0
    | ~ hskp11
    | ~ c0_1(a1224) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_62]),c_0_63]) ).

cnf(c_0_83,negated_conjecture,
    ( epred58_0
    | epred38_0
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_28]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ c2_1(a1224)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_85,negated_conjecture,
    ( epred42_0
    | hskp11
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_64]),c_0_7])]) ).

cnf(c_0_86,negated_conjecture,
    ( c1_1(a1215)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_87,negated_conjecture,
    ( c2_1(a1215)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ c3_1(a1215)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_89,negated_conjecture,
    ( epred1_0
    | hskp28
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_90,negated_conjecture,
    ( epred1_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_12]),c_0_68]),c_0_69]) ).

cnf(c_0_91,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_92,negated_conjecture,
    ( epred32_0
    | hskp14
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_70]),c_0_7])]) ).

cnf(c_0_93,negated_conjecture,
    ( c0_1(a1206)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_94,negated_conjecture,
    ( c2_1(a1206)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_95,negated_conjecture,
    ( ~ c3_1(a1206)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_96,negated_conjecture,
    ( ~ epred32_0
    | ~ epred16_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_71,c_0_70]),c_0_15]) ).

cnf(c_0_97,negated_conjecture,
    ( epred58_0
    | epred38_0
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).

cnf(c_0_98,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_99,negated_conjecture,
    ( c3_1(a1204)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_100,negated_conjecture,
    ( c2_1(a1204)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_101,negated_conjecture,
    ( c0_1(a1204)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_102,negated_conjecture,
    ( epred12_0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_78]) ).

cnf(c_0_103,negated_conjecture,
    ( epred59_0
    | epred41_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_43]),c_0_42]) ).

cnf(c_0_104,negated_conjecture,
    ( hskp26
    | hskp25
    | hskp1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_105,negated_conjecture,
    ( ~ c0_1(a1207)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_106,negated_conjecture,
    ( ~ c2_1(a1207)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_107,negated_conjecture,
    ( epred43_0
    | epred38_0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_108,negated_conjecture,
    ( hskp27
    | hskp19
    | hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_109,negated_conjecture,
    ( epred58_0
    | epred38_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).

cnf(c_0_110,negated_conjecture,
    ( epred42_0
    | hskp11
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_88]) ).

cnf(c_0_111,negated_conjecture,
    ( epred38_0
    | epred1_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_30,c_0_89]) ).

cnf(c_0_112,negated_conjecture,
    ( epred1_0
    | hskp7
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_113,negated_conjecture,
    ( epred32_0
    | hskp14
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),c_0_95]) ).

cnf(c_0_114,negated_conjecture,
    ( epred58_0
    | epred38_0
    | ~ epred32_0 ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_115,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_98]) ).

cnf(c_0_116,negated_conjecture,
    ( epred41_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_99]),c_0_100]),c_0_101]) ).

cnf(c_0_117,negated_conjecture,
    ( epred12_0
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_102,c_0_4]) ).

cnf(c_0_118,negated_conjecture,
    ( epred59_0
    | epred41_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_93]),c_0_94]) ).

cnf(c_0_119,negated_conjecture,
    ( epred59_0
    | epred41_0
    | hskp25
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_120,negated_conjecture,
    ( epred59_0
    | epred41_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_101]),c_0_100]) ).

cnf(c_0_121,negated_conjecture,
    ( epred58_0
    | hskp28
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_28]),c_0_106]) ).

cnf(c_0_122,negated_conjecture,
    ( epred43_0
    | epred38_0
    | hskp19
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_123,negated_conjecture,
    ( epred58_0
    | epred42_0
    | epred38_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_124,negated_conjecture,
    ( epred38_0
    | epred1_0
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_125,negated_conjecture,
    ( epred58_0
    | epred38_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_113]),c_0_114]) ).

cnf(c_0_126,negated_conjecture,
    ( epred2_0
    | hskp25
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_54,c_0_104]) ).

cnf(c_0_127,negated_conjecture,
    ( ~ epred59_0
    | ~ epred38_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_115,c_0_46]),c_0_56]),c_0_10]) ).

cnf(c_0_128,negated_conjecture,
    ( epred41_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_129,negated_conjecture,
    ( epred59_0
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).

cnf(c_0_130,negated_conjecture,
    ( epred58_0
    | epred38_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_30,c_0_121]) ).

cnf(c_0_131,negated_conjecture,
    ( epred43_0
    | epred38_0
    | epred1_0
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_38,c_0_122]) ).

cnf(c_0_132,negated_conjecture,
    ( c2_1(X1)
    | hskp10
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_133,negated_conjecture,
    ( epred58_0
    | epred42_0
    | epred38_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_134,negated_conjecture,
    ( epred58_0
    | epred38_0
    | epred2_0
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_135,negated_conjecture,
    ( epred41_0
    | ~ epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).

cnf(c_0_136,negated_conjecture,
    ( epred58_0
    | epred43_0
    | epred38_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_137,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | hskp11
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_138,plain,
    ( ~ epred47_0
  <=> ! [X1] :
        ( c2_1(X1)
        | hskp10
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_139,negated_conjecture,
    ( hskp10
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_132]) ).

cnf(c_0_140,negated_conjecture,
    ( epred58_0
    | epred42_0
    | epred38_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_133]) ).

cnf(c_0_141,negated_conjecture,
    ( epred58_0
    | epred41_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_134]),c_0_135]) ).

cnf(c_0_142,negated_conjecture,
    ( epred58_0
    | epred43_0
    | epred38_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_136]) ).

fof(c_0_143,plain,
    ( ~ epred21_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_144,negated_conjecture,
    ( hskp11
    | c0_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_137]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ epred47_0
    | ~ epred41_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_139,c_0_138]),c_0_45]) ).

cnf(c_0_146,negated_conjecture,
    ( epred58_0
    | epred42_0
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_135]) ).

cnf(c_0_147,negated_conjecture,
    ( epred58_0
    | epred43_0
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_141]),c_0_135]) ).

cnf(c_0_148,negated_conjecture,
    ( epred21_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_143]) ).

cnf(c_0_149,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp11
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_150,plain,
    ( ~ epred18_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_151,negated_conjecture,
    ( epred47_0
    | hskp10
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_138]),c_0_7])]) ).

cnf(c_0_152,negated_conjecture,
    ( ~ epred43_0
    | ~ epred42_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_144,c_0_64]),c_0_47]) ).

cnf(c_0_153,negated_conjecture,
    ( epred58_0
    | epred42_0
    | ~ epred47_0 ),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_154,negated_conjecture,
    ( epred58_0
    | epred43_0
    | ~ epred47_0 ),
    inference(spm,[status(thm)],[c_0_145,c_0_147]) ).

cnf(c_0_155,negated_conjecture,
    ( epred21_0
    | ~ hskp11
    | ~ c0_1(a1224) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_62]),c_0_84]) ).

cnf(c_0_156,negated_conjecture,
    ( epred58_0
    | c0_1(a1224)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_63]),c_0_84]) ).

cnf(c_0_157,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_7])]) ).

cnf(c_0_158,negated_conjecture,
    ( c2_1(a1212)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_159,negated_conjecture,
    ( ~ c0_1(a1212)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_160,negated_conjecture,
    ( ~ c3_1(a1212)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_161,negated_conjecture,
    ( c1_1(a1233)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_162,negated_conjecture,
    ( c0_1(a1233)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ c2_1(a1233)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_164,negated_conjecture,
    ( epred18_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_150]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ c3_1(a1223)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_166,negated_conjecture,
    ( c2_1(a1223)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_167,negated_conjecture,
    ( epred47_0
    | hskp10
    | ~ hskp11
    | ~ c0_1(a1224) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_62]),c_0_84]) ).

cnf(c_0_168,negated_conjecture,
    ( epred58_0
    | ~ epred47_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]) ).

fof(c_0_169,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_170,plain,
    ( ~ epred31_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_171,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | hskp14
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_172,plain,
    ( ~ epred39_0
  <=> ! [X1] :
        ( c1_1(X1)
        | hskp6
        | ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_173,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp13
    | hskp6
    | ~ ndr1_0
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_174,negated_conjecture,
    ( epred58_0
    | epred21_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_175,negated_conjecture,
    ( hskp11
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]),c_0_160]) ).

cnf(c_0_176,negated_conjecture,
    ( epred21_0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_161]),c_0_162]),c_0_163]) ).

cnf(c_0_177,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_178,negated_conjecture,
    ( epred18_0
    | ~ hskp11
    | ~ c0_1(a1224) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_63]),c_0_84]) ).

cnf(c_0_179,negated_conjecture,
    ( epred59_0
    | ~ hskp10
    | ~ c0_1(a1223) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_58]),c_0_166]) ).

cnf(c_0_180,negated_conjecture,
    ( hskp11
    | c0_1(a1223)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_166]),c_0_165]) ).

cnf(c_0_181,negated_conjecture,
    ( epred58_0
    | hskp10
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_156]),c_0_168]) ).

cnf(c_0_182,negated_conjecture,
    ( epred47_0
    | hskp10
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_161]),c_0_162]),c_0_163]) ).

cnf(c_0_183,negated_conjecture,
    ( epred59_0
    | ~ hskp6
    | ~ c0_1(a1215) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_58]),c_0_87]) ).

cnf(c_0_184,negated_conjecture,
    ( hskp11
    | c0_1(a1215)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_87]),c_0_88]) ).

fof(c_0_185,plain,
    ( ~ epred55_0
  <=> ! [X3] :
        ( c3_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

fof(c_0_186,plain,
    ( ~ epred3_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_187,negated_conjecture,
    ( epred4_0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_169]) ).

cnf(c_0_188,negated_conjecture,
    ( epred31_0
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_170]) ).

cnf(c_0_189,negated_conjecture,
    ( ~ c1_1(a1205)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ c0_1(a1205)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_191,negated_conjecture,
    ( epred30_0
    | hskp14
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_171]),c_0_7])]) ).

cnf(c_0_192,negated_conjecture,
    ( c2_1(a1205)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_193,negated_conjecture,
    ( c3_1(X1)
    | hskp0
    | hskp21
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_194,plain,
    ( ~ epred35_0
  <=> ! [X1] :
        ( c0_1(X1)
        | hskp1
        | ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_195,negated_conjecture,
    ( epred39_0
    | hskp6
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_172]),c_0_7])]) ).

cnf(c_0_196,negated_conjecture,
    ( c0_1(a1229)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_197,negated_conjecture,
    ( c2_1(a1229)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_198,negated_conjecture,
    ( ~ c1_1(a1229)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_199,negated_conjecture,
    ( hskp13
    | hskp6
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_7])]) ).

cnf(c_0_200,negated_conjecture,
    ( ~ c1_1(a1223)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_201,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | hskp1
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_202,negated_conjecture,
    ( epred58_0
    | epred21_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_203,negated_conjecture,
    ( epred21_0
    | hskp6
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_204,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | hskp6
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_205,negated_conjecture,
    ( epred58_0
    | epred18_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_178,c_0_156]) ).

cnf(c_0_206,negated_conjecture,
    ( epred59_0
    | hskp11
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_207,negated_conjecture,
    ( epred58_0
    | hskp10
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_181,c_0_175]) ).

cnf(c_0_208,negated_conjecture,
    ( epred47_0
    | hskp10
    | hskp6
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_182,c_0_177]) ).

cnf(c_0_209,negated_conjecture,
    ( epred59_0
    | hskp11
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

fof(c_0_210,plain,
    ( ~ epred54_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_211,negated_conjecture,
    ( epred43_0
    | c0_1(a1224)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).

cnf(c_0_212,negated_conjecture,
    ( epred55_0
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_185]) ).

cnf(c_0_213,negated_conjecture,
    ( epred3_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_186]),c_0_7])]) ).

cnf(c_0_214,negated_conjecture,
    ( c1_1(a1247)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_215,negated_conjecture,
    ( epred4_0
    | ~ hskp28
    | ~ c2_1(a1214) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_18]),c_0_20]) ).

cnf(c_0_216,negated_conjecture,
    ( epred31_0
    | c2_1(a1214)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_18]),c_0_20]) ).

cnf(c_0_217,negated_conjecture,
    ( c2_1(a1213)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_218,negated_conjecture,
    ( c3_1(a1232)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_219,negated_conjecture,
    ( epred12_0
    | ~ c3_1(a1205)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_76]),c_0_190]) ).

cnf(c_0_220,negated_conjecture,
    ( epred30_0
    | hskp14
    | c3_1(a1205)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_189]) ).

cnf(c_0_221,negated_conjecture,
    ( hskp21
    | c3_1(X1)
    | hskp0
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_7])]) ).

cnf(c_0_222,negated_conjecture,
    ( epred35_0
    | hskp1
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_194]),c_0_7])]) ).

cnf(c_0_223,negated_conjecture,
    ( epred39_0
    | hskp6
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_197]),c_0_198]) ).

cnf(c_0_224,negated_conjecture,
    ( hskp13
    | hskp6
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_166]),c_0_200]),c_0_165]) ).

cnf(c_0_225,negated_conjecture,
    ( hskp1
    | c2_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_201]) ).

cnf(c_0_226,negated_conjecture,
    ( epred58_0
    | epred21_0
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_227,negated_conjecture,
    ( hskp6
    | c2_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_204]) ).

cnf(c_0_228,negated_conjecture,
    ( epred59_0
    | epred58_0
    | epred18_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_229,negated_conjecture,
    ( epred58_0
    | hskp10
    | hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_168]) ).

cnf(c_0_230,negated_conjecture,
    ( epred59_0
    | epred58_0
    | epred18_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_205,c_0_209]) ).

cnf(c_0_231,negated_conjecture,
    ( hskp11
    | c3_1(a1205)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_192]),c_0_190]) ).

cnf(c_0_232,negated_conjecture,
    ( epred54_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_210]),c_0_7])]) ).

cnf(c_0_233,negated_conjecture,
    ( epred43_0
    | epred21_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_155,c_0_211]) ).

cnf(c_0_234,negated_conjecture,
    ( epred38_0
    | ~ hskp15
    | ~ c3_1(a1233) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_161]),c_0_162]) ).

cnf(c_0_235,negated_conjecture,
    ( epred55_0
    | c3_1(a1233)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_161]),c_0_162]) ).

cnf(c_0_236,negated_conjecture,
    ( epred55_0
    | ~ hskp6
    | ~ c0_1(a1215) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_86]),c_0_88]) ).

cnf(c_0_237,negated_conjecture,
    ( epred3_0
    | c0_1(a1247)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_11]) ).

cnf(c_0_238,negated_conjecture,
    ( epred31_0
    | epred4_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_239,negated_conjecture,
    ( epred4_0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_59]),c_0_217]),c_0_60]) ).

cnf(c_0_240,negated_conjecture,
    ( epred58_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_218]),c_0_29]),c_0_27]) ).

cnf(c_0_241,negated_conjecture,
    ( epred30_0
    | epred12_0
    | hskp14
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_219,c_0_220]) ).

cnf(c_0_242,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_86]),c_0_87]),c_0_88]) ).

cnf(c_0_243,negated_conjecture,
    ( epred30_0
    | hskp14
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_166]),c_0_200]),c_0_165]) ).

cnf(c_0_244,negated_conjecture,
    ( epred35_0
    | hskp1
    | c0_1(a1215)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_86]),c_0_87]) ).

cnf(c_0_245,negated_conjecture,
    ( epred59_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_58]),c_0_94]),c_0_93]) ).

cnf(c_0_246,negated_conjecture,
    ( epred39_0
    | hskp6
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_223,c_0_224]) ).

cnf(c_0_247,negated_conjecture,
    ( ~ epred35_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_225,c_0_194]),c_0_143]) ).

cnf(c_0_248,negated_conjecture,
    ( epred59_0
    | epred58_0
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_209]),c_0_226]) ).

cnf(c_0_249,negated_conjecture,
    ( ~ epred39_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_227,c_0_172]),c_0_150]) ).

cnf(c_0_250,negated_conjecture,
    ( epred59_0
    | epred58_0
    | epred18_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230]) ).

cnf(c_0_251,negated_conjecture,
    ( epred31_0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_62]),c_0_63]),c_0_84]) ).

cnf(c_0_252,negated_conjecture,
    ( epred12_0
    | hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_219,c_0_231]) ).

cnf(c_0_253,negated_conjecture,
    ( epred31_0
    | ~ hskp15
    | ~ c3_1(a1233) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_161]),c_0_163]) ).

cnf(c_0_254,negated_conjecture,
    ( epred54_0
    | c3_1(a1233)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_161]),c_0_163]) ).

cnf(c_0_255,negated_conjecture,
    ( epred43_0
    | epred21_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_233,c_0_175]) ).

cnf(c_0_256,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_257,negated_conjecture,
    ( epred55_0
    | epred38_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_258,negated_conjecture,
    ( epred55_0
    | hskp11
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_236,c_0_184]) ).

cnf(c_0_259,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | hskp19
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_260,negated_conjecture,
    ( epred3_0
    | epred1_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_21,c_0_237]) ).

cnf(c_0_261,negated_conjecture,
    ( epred2_0
    | ~ hskp28
    | ~ c2_1(a1214) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_18]),c_0_19]) ).

cnf(c_0_262,negated_conjecture,
    ( epred31_0
    | epred4_0
    | epred1_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_238,c_0_31]) ).

cnf(c_0_263,negated_conjecture,
    ( epred4_0
    | hskp19
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_239,c_0_108]) ).

cnf(c_0_264,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | hskp14
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_265,negated_conjecture,
    ( epred58_0
    | epred30_0
    | epred12_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_240,c_0_241]) ).

cnf(c_0_266,negated_conjecture,
    ( epred12_0
    | hskp0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_102,c_0_242]) ).

cnf(c_0_267,negated_conjecture,
    ( epred58_0
    | epred30_0
    | hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_229]),c_0_240]) ).

cnf(c_0_268,negated_conjecture,
    ( epred59_0
    | epred35_0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_244]),c_0_245]) ).

cnf(c_0_269,negated_conjecture,
    ( epred58_0
    | epred39_0
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_246,c_0_229]) ).

cnf(c_0_270,negated_conjecture,
    ( epred59_0
    | epred58_0
    | ~ epred35_0 ),
    inference(spm,[status(thm)],[c_0_247,c_0_248]) ).

cnf(c_0_271,negated_conjecture,
    ( epred59_0
    | epred58_0
    | ~ epred39_0 ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_272,negated_conjecture,
    ( epred31_0
    | epred12_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_251,c_0_252]) ).

cnf(c_0_273,negated_conjecture,
    ( epred54_0
    | epred31_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_274,negated_conjecture,
    ( epred31_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_251,c_0_175]) ).

fof(c_0_275,plain,
    ( ~ epred44_0
  <=> ! [X1] :
        ( c1_1(X1)
        | hskp19
        | ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_276,negated_conjecture,
    ( ~ c0_1(a1261)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_277,negated_conjecture,
    ( ~ c2_1(a1261)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_278,negated_conjecture,
    ( epred43_0
    | epred21_0
    | epred12_0
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_233,c_0_252]) ).

cnf(c_0_279,negated_conjecture,
    ( epred43_0
    | epred21_0
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_255,c_0_203]) ).

cnf(c_0_280,negated_conjecture,
    ( c2_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X3)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c0_1(X1)
    | ~ c1_1(X3)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_256]) ).

cnf(c_0_281,negated_conjecture,
    ( epred58_0
    | epred38_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_109,c_0_175]) ).

cnf(c_0_282,negated_conjecture,
    ( epred55_0
    | epred38_0
    | hskp6
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_257,c_0_177]) ).

cnf(c_0_283,negated_conjecture,
    ( epred58_0
    | epred55_0
    | epred38_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_109,c_0_258]) ).

cnf(c_0_284,negated_conjecture,
    ( hskp19
    | c2_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_259]) ).

cnf(c_0_285,negated_conjecture,
    ( epred16_0
    | epred3_0
    | epred1_0
    | hskp14 ),
    inference(spm,[status(thm)],[c_0_260,c_0_39]) ).

cnf(c_0_286,negated_conjecture,
    ( epred31_0
    | epred2_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_261,c_0_216]) ).

cnf(c_0_287,negated_conjecture,
    ( epred58_0
    | epred31_0
    | epred4_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_238,c_0_121]) ).

cnf(c_0_288,negated_conjecture,
    ( epred31_0
    | epred4_0
    | epred1_0
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_262,c_0_263]) ).

cnf(c_0_289,negated_conjecture,
    ( hskp14
    | c2_1(X2)
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_264]) ).

cnf(c_0_290,negated_conjecture,
    ( epred58_0
    | epred30_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_267]) ).

cnf(c_0_291,negated_conjecture,
    ( epred59_0
    | epred58_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_270]),c_0_271]) ).

cnf(c_0_292,negated_conjecture,
    ( epred31_0
    | epred12_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_272,c_0_266]) ).

cnf(c_0_293,negated_conjecture,
    ( epred54_0
    | epred31_0
    | hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_177]),c_0_274]) ).

cnf(c_0_294,negated_conjecture,
    ( epred59_0
    | epred31_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_251,c_0_206]) ).

cnf(c_0_295,negated_conjecture,
    ( epred47_0
    | epred31_0
    | hskp10
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_274,c_0_208]) ).

cnf(c_0_296,negated_conjecture,
    ( epred59_0
    | epred31_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_251,c_0_209]) ).

cnf(c_0_297,negated_conjecture,
    ( epred59_0
    | ~ epred47_0 ),
    inference(spm,[status(thm)],[c_0_145,c_0_129]) ).

cnf(c_0_298,negated_conjecture,
    ( epred44_0
    | hskp19
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_275]),c_0_7])]) ).

cnf(c_0_299,negated_conjecture,
    ( c3_1(a1246)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_300,negated_conjecture,
    ( c2_1(a1246)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_301,negated_conjecture,
    ( ~ c1_1(a1246)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_302,negated_conjecture,
    ( epred58_0
    | hskp28
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_28]),c_0_277]) ).

cnf(c_0_303,negated_conjecture,
    ( epred43_0
    | epred21_0
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_266]),c_0_279]) ).

cnf(c_0_304,negated_conjecture,
    ( epred59_0
    | epred43_0
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_209]),c_0_279]) ).

cnf(c_0_305,negated_conjecture,
    ( epred54_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_214]),c_0_13]),c_0_11]) ).

cnf(c_0_306,negated_conjecture,
    ( ~ epred55_0
    | ~ epred54_0
    | ~ epred16_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_280,c_0_210]),c_0_185]),c_0_15]) ).

cnf(c_0_307,negated_conjecture,
    ( epred58_0
    | epred55_0
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_283]) ).

cnf(c_0_308,negated_conjecture,
    ( ~ epred44_0
    | ~ epred21_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_284,c_0_275]),c_0_143]) ).

cnf(c_0_309,negated_conjecture,
    ( epred58_0
    | epred42_0
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_110]),c_0_226]) ).

cnf(c_0_310,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_311,negated_conjecture,
    ( epred58_0
    | epred16_0
    | epred3_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_240,c_0_285]) ).

cnf(c_0_312,negated_conjecture,
    ( epred31_0
    | epred2_0
    | hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_35]),c_0_54]) ).

cnf(c_0_313,negated_conjecture,
    ( epred58_0
    | epred31_0
    | epred4_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_287,c_0_288]) ).

cnf(c_0_314,negated_conjecture,
    ( ~ epred31_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_289,c_0_171]),c_0_170]) ).

cnf(c_0_315,negated_conjecture,
    ( epred58_0
    | epred30_0
    | ~ epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_290]),c_0_291]) ).

cnf(c_0_316,negated_conjecture,
    ( epred54_0
    | epred31_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_292,c_0_293]) ).

cnf(c_0_317,negated_conjecture,
    ( epred59_0
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_296]),c_0_297]) ).

cnf(c_0_318,negated_conjecture,
    ( epred44_0
    | hskp19
    | ~ hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_300]),c_0_301]) ).

cnf(c_0_319,negated_conjecture,
    ( epred58_0
    | epred38_0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_30,c_0_302]) ).

cnf(c_0_320,negated_conjecture,
    ( hskp18
    | hskp14
    | hskp23 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_321,negated_conjecture,
    ( epred43_0
    | epred21_0
    | ~ epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_303]),c_0_304]) ).

cnf(c_0_322,negated_conjecture,
    ( epred54_0
    | epred43_0
    | epred38_0
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_305,c_0_122]) ).

cnf(c_0_323,negated_conjecture,
    ( epred58_0
    | epred38_0
    | ~ epred54_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_97]),c_0_307]) ).

cnf(c_0_324,negated_conjecture,
    ( epred58_0
    | epred42_0
    | ~ epred44_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_309]) ).

cnf(c_0_325,negated_conjecture,
    ( epred55_0
    | epred31_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_253,c_0_235]) ).

fof(c_0_326,plain,
    ( ~ epred36_0
  <=> ! [X1] :
        ( c0_1(X1)
        | hskp3
        | ~ ndr1_0
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_327,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_310]) ).

cnf(c_0_328,negated_conjecture,
    ( epred58_0
    | epred16_0
    | epred3_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_311]) ).

cnf(c_0_329,negated_conjecture,
    ( epred31_0
    | epred16_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_32,c_0_312]) ).

cnf(c_0_330,negated_conjecture,
    ( epred58_0
    | epred31_0
    | epred4_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_313]) ).

cnf(c_0_331,negated_conjecture,
    ( epred58_0
    | ~ epred38_0
    | ~ epred31_0 ),
    inference(spm,[status(thm)],[c_0_314,c_0_315]) ).

cnf(c_0_332,negated_conjecture,
    ( epred54_0
    | epred31_0
    | ~ epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_316]),c_0_317]) ).

cnf(c_0_333,negated_conjecture,
    ( epred54_0
    | epred44_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_305,c_0_318]) ).

cnf(c_0_334,negated_conjecture,
    ( epred58_0
    | epred38_0
    | hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_320]),c_0_52]) ).

cnf(c_0_335,negated_conjecture,
    ( epred43_0
    | ~ epred44_0
    | ~ epred38_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_321]) ).

cnf(c_0_336,negated_conjecture,
    ( epred58_0
    | epred43_0
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_322]),c_0_323]) ).

cnf(c_0_337,negated_conjecture,
    ( epred58_0
    | ~ epred44_0
    | ~ epred43_0 ),
    inference(spm,[status(thm)],[c_0_152,c_0_324]) ).

cnf(c_0_338,negated_conjecture,
    ( epred55_0
    | epred31_0
    | hskp6
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_325,c_0_177]) ).

cnf(c_0_339,negated_conjecture,
    ( epred55_0
    | epred31_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_251,c_0_258]) ).

cnf(c_0_340,negated_conjecture,
    ( epred36_0
    | hskp3
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_326]),c_0_7])]) ).

cnf(c_0_341,negated_conjecture,
    ( hskp2
    | hskp7
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_342,plain,
    ( ~ epred25_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_343,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_327,c_0_186]),c_0_169]) ).

cnf(c_0_344,negated_conjecture,
    ( epred58_0
    | epred31_0
    | epred16_0
    | epred3_0 ),
    inference(spm,[status(thm)],[c_0_328,c_0_329]) ).

cnf(c_0_345,negated_conjecture,
    ( epred58_0
    | epred31_0
    | epred16_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_330,c_0_329]) ).

cnf(c_0_346,negated_conjecture,
    ( epred58_0
    | epred54_0
    | ~ epred38_0 ),
    inference(spm,[status(thm)],[c_0_331,c_0_332]) ).

cnf(c_0_347,negated_conjecture,
    ( epred58_0
    | epred44_0
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_323]) ).

cnf(c_0_348,negated_conjecture,
    ( epred58_0
    | ~ epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_337]) ).

cnf(c_0_349,negated_conjecture,
    ( epred55_0
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_338]),c_0_339]) ).

cnf(c_0_350,negated_conjecture,
    ( epred36_0
    | hskp3
    | c0_1(a1224)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_62]),c_0_63]) ).

fof(c_0_351,plain,
    ( ~ epred49_0
  <=> ! [X2] :
        ( c0_1(X2)
        | c3_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_352,negated_conjecture,
    ( hskp7
    | hskp2
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_7])]) ).

cnf(c_0_353,negated_conjecture,
    ( epred25_0
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_342]) ).

cnf(c_0_354,negated_conjecture,
    ( epred58_0
    | epred31_0
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_345]) ).

cnf(c_0_355,negated_conjecture,
    ( epred58_0
    | epred54_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_348]) ).

cnf(c_0_356,negated_conjecture,
    ( epred58_0
    | epred55_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_349]),c_0_307]) ).

cnf(c_0_357,negated_conjecture,
    ( c1_1(a1210)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_358,negated_conjecture,
    ( c0_1(a1210)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_359,negated_conjecture,
    ( epred36_0
    | epred21_0
    | hskp3
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_155,c_0_350]) ).

cnf(c_0_360,negated_conjecture,
    ( epred21_0
    | epred16_0
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_148,c_0_24]) ).

cnf(c_0_361,negated_conjecture,
    ( epred49_0
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_351]),c_0_7])]) ).

fof(c_0_362,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

fof(c_0_363,plain,
    ( ~ epred14_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_364,negated_conjecture,
    ( c2_1(X1)
    | hskp11
    | hskp8
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_365,negated_conjecture,
    ( hskp0
    | hskp23
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_366,negated_conjecture,
    ( hskp7
    | hskp2
    | ~ hskp27
    | ~ c0_1(a1213) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_59]),c_0_60]) ).

cnf(c_0_367,negated_conjecture,
    ( epred25_0
    | c0_1(a1213)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_60]),c_0_217]) ).

fof(c_0_368,plain,
    ( ~ epred50_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_369,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X3)
    | ~ c2_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_370,negated_conjecture,
    ( epred58_0
    | epred31_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_354]),c_0_355]),c_0_356]) ).

cnf(c_0_371,negated_conjecture,
    ( epred2_0
    | ~ hskp3
    | ~ c2_1(a1210) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_357]),c_0_358]) ).

cnf(c_0_372,negated_conjecture,
    ( epred21_0
    | c2_1(a1210)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_357]),c_0_358]) ).

cnf(c_0_373,negated_conjecture,
    ( epred36_0
    | epred21_0
    | hskp3
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_359,c_0_175]) ).

cnf(c_0_374,negated_conjecture,
    ( epred21_0
    | epred16_0
    | c2_1(a1214)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_360,c_0_19]) ).

cnf(c_0_375,negated_conjecture,
    ( epred2_0
    | ~ hskp6
    | ~ c0_1(a1215) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_86]),c_0_87]) ).

cnf(c_0_376,negated_conjecture,
    ( epred49_0
    | c0_1(a1215)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_361]),c_0_87]) ).

cnf(c_0_377,negated_conjecture,
    ( epred49_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_361]),c_0_158]),c_0_159]) ).

cnf(c_0_378,negated_conjecture,
    ( ~ c1_1(a1217)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_379,negated_conjecture,
    ( epred6_0
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_362]) ).

cnf(c_0_380,negated_conjecture,
    ( ~ c0_1(a1217)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_381,negated_conjecture,
    ( ~ c3_1(a1217)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_382,negated_conjecture,
    ( epred14_0
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_363]) ).

cnf(c_0_383,negated_conjecture,
    ( hskp11
    | hskp8
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_364,c_0_7])]) ).

cnf(c_0_384,negated_conjecture,
    ( hskp23
    | hskp0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_365,c_0_7])]) ).

cnf(c_0_385,negated_conjecture,
    ( hskp7
    | hskp2
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_18]),c_0_19]),c_0_20]) ).

cnf(c_0_386,negated_conjecture,
    ( epred25_0
    | hskp7
    | hskp2
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_366,c_0_367]) ).

cnf(c_0_387,negated_conjecture,
    ( ~ c1_1(a1216)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_388,negated_conjecture,
    ( epred50_0
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_368]) ).

cnf(c_0_389,negated_conjecture,
    ( epred21_0
    | c2_1(a1214)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_18]),c_0_19]) ).

cnf(c_0_390,negated_conjecture,
    ( epred21_0
    | ~ hskp19
    | ~ c0_1(a1247) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_214]),c_0_13]) ).

cnf(c_0_391,negated_conjecture,
    ( epred2_0
    | ~ hskp27
    | ~ c0_1(a1213) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_59]),c_0_217]) ).

cnf(c_0_392,negated_conjecture,
    ( c2_1(X2)
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_369]) ).

cnf(c_0_393,negated_conjecture,
    ( epred58_0
    | ~ epred38_0 ),
    inference(spm,[status(thm)],[c_0_331,c_0_370]) ).

cnf(c_0_394,negated_conjecture,
    ( epred3_0
    | c0_1(a1215)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_86]),c_0_88]) ).

cnf(c_0_395,negated_conjecture,
    ( epred21_0
    | epred2_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_371,c_0_372]) ).

cnf(c_0_396,negated_conjecture,
    ( epred36_0
    | epred21_0
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_373,c_0_203]) ).

cnf(c_0_397,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | c1_1(X3)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_398,negated_conjecture,
    ( epred21_0
    | epred16_0
    | epred2_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_261,c_0_374]) ).

cnf(c_0_399,negated_conjecture,
    ( epred21_0
    | epred16_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_25]),c_0_26]) ).

cnf(c_0_400,negated_conjecture,
    ( epred49_0
    | epred2_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_375,c_0_376]) ).

cnf(c_0_401,negated_conjecture,
    ( epred49_0
    | epred21_0
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_377,c_0_203]) ).

cnf(c_0_402,negated_conjecture,
    ( epred6_0
    | ~ hskp8
    | ~ c2_1(a1217) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_379]),c_0_380]) ).

cnf(c_0_403,negated_conjecture,
    ( hskp28
    | c2_1(a1217)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_14]),c_0_380]) ).

cnf(c_0_404,negated_conjecture,
    ( epred14_0
    | c0_1(a1224)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_62]),c_0_84]) ).

cnf(c_0_405,negated_conjecture,
    ( hskp11
    | hskp8
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_161]),c_0_162]),c_0_163]) ).

cnf(c_0_406,negated_conjecture,
    ( ~ c3_1(a1261)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_407,negated_conjecture,
    ( hskp23
    | hskp0
    | ~ hskp6
    | ~ c0_1(a1215) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_86]),c_0_87]) ).

cnf(c_0_408,negated_conjecture,
    ( hskp13
    | hskp22
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_409,negated_conjecture,
    ( ~ c1_1(a1207)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_410,negated_conjecture,
    ( epred1_0
    | hskp7
    | hskp2
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_385,c_0_31]) ).

cnf(c_0_411,negated_conjecture,
    ( epred25_0
    | hskp19
    | hskp7
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_386,c_0_108]) ).

cnf(c_0_412,negated_conjecture,
    ( epred50_0
    | c0_1(a1216)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_388]),c_0_49]) ).

cnf(c_0_413,negated_conjecture,
    ( epred21_0
    | epred2_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_261,c_0_389]) ).

cnf(c_0_414,negated_conjecture,
    ( epred21_0
    | hskp28
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_390,c_0_22]) ).

cnf(c_0_415,negated_conjecture,
    ( epred25_0
    | epred2_0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_391,c_0_367]) ).

cnf(c_0_416,negated_conjecture,
    ( ~ epred58_0
    | ~ epred31_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_392,c_0_9]),c_0_170]),c_0_34]) ).

cnf(c_0_417,negated_conjecture,
    epred58_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_323]),c_0_355]) ).

cnf(c_0_418,negated_conjecture,
    ( epred3_0
    | epred2_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_375,c_0_394]) ).

cnf(c_0_419,negated_conjecture,
    ( epred36_0
    | epred21_0
    | epred2_0
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_395,c_0_396]) ).

cnf(c_0_420,negated_conjecture,
    ( epred21_0
    | epred4_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_215,c_0_389]) ).

cnf(c_0_421,negated_conjecture,
    ( c2_1(X3)
    | c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(X3)
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X3) ),
    inference(cn,[status(thm)],[c_0_397]) ).

cnf(c_0_422,negated_conjecture,
    ( epred21_0
    | epred16_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_35]),c_0_399]),c_0_54]) ).

cnf(c_0_423,negated_conjecture,
    ( epred49_0
    | epred21_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_400,c_0_401]) ).

cnf(c_0_424,negated_conjecture,
    ( epred6_0
    | hskp28
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_402,c_0_403]) ).

cnf(c_0_425,negated_conjecture,
    ( epred38_0
    | epred14_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_82,c_0_404]) ).

cnf(c_0_426,negated_conjecture,
    ( hskp11
    | hskp8
    | hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_177]),c_0_175]) ).

cnf(c_0_427,negated_conjecture,
    ( hskp28
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_14]),c_0_277]),c_0_276]) ).

cnf(c_0_428,negated_conjecture,
    ( hskp23
    | hskp11
    | hskp0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_407,c_0_184]) ).

fof(c_0_429,plain,
    ( ~ epred27_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_430,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | hskp17
    | hskp5
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_431,negated_conjecture,
    ( hskp22
    | hskp13
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_408,c_0_7])]) ).

cnf(c_0_432,negated_conjecture,
    ( epred50_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_388]),c_0_106]),c_0_105]) ).

cnf(c_0_433,negated_conjecture,
    ( epred25_0
    | epred1_0
    | hskp7
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_410,c_0_411]) ).

cnf(c_0_434,negated_conjecture,
    ( epred50_0
    | epred1_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_65,c_0_412]) ).

cnf(c_0_435,negated_conjecture,
    ( epred21_0
    | epred2_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_413,c_0_414]) ).

cnf(c_0_436,negated_conjecture,
    ( epred25_0
    | epred2_0
    | hskp19
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_415,c_0_108]) ).

cnf(c_0_437,negated_conjecture,
    ( ~ epred31_0
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_416,c_0_417])]) ).

cnf(c_0_438,negated_conjecture,
    ( epred36_0
    | epred21_0
    | epred3_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_418,c_0_419]) ).

cnf(c_0_439,negated_conjecture,
    ( epred21_0
    | epred4_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_420,c_0_414]) ).

cnf(c_0_440,negated_conjecture,
    ( ~ epred50_0
    | ~ epred49_0
    | ~ epred16_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_421,c_0_351]),c_0_368]),c_0_15]) ).

cnf(c_0_441,negated_conjecture,
    ( epred21_0
    | epred16_0
    | ~ epred58_0
    | ~ epred31_0 ),
    inference(spm,[status(thm)],[c_0_416,c_0_422]) ).

cnf(c_0_442,negated_conjecture,
    ( epred49_0
    | epred21_0
    | ~ epred58_0
    | ~ epred31_0 ),
    inference(spm,[status(thm)],[c_0_416,c_0_423]) ).

fof(c_0_443,plain,
    ( ~ epred24_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | hskp3
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_444,negated_conjecture,
    ( epred2_0
    | hskp11
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_375,c_0_184]) ).

cnf(c_0_445,negated_conjecture,
    ( epred38_0
    | epred6_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_30,c_0_424]) ).

cnf(c_0_446,negated_conjecture,
    ( epred38_0
    | epred14_0
    | hskp8
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_425,c_0_426]) ).

cnf(c_0_447,negated_conjecture,
    ( epred38_0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_30,c_0_427]) ).

cnf(c_0_448,negated_conjecture,
    ( epred31_0
    | hskp23
    | hskp0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_251,c_0_428]) ).

cnf(c_0_449,negated_conjecture,
    ( epred31_0
    | hskp8
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_251,c_0_426]) ).

cnf(c_0_450,negated_conjecture,
    ( c3_1(a1237)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_451,negated_conjecture,
    ( c0_1(a1237)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_452,negated_conjecture,
    ( epred27_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_429]) ).

cnf(c_0_453,negated_conjecture,
    ( hskp17
    | hskp5
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_430,c_0_7])]) ).

cnf(c_0_454,negated_conjecture,
    ( ~ c1_1(a1237)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_455,negated_conjecture,
    ( hskp22
    | hskp13
    | ~ hskp6
    | ~ c0_1(a1215) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_86]),c_0_87]) ).

cnf(c_0_456,negated_conjecture,
    ( epred50_0
    | epred25_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_433]),c_0_434]) ).

cnf(c_0_457,negated_conjecture,
    ( epred25_0
    | epred21_0
    | epred2_0
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_435,c_0_436]) ).

cnf(c_0_458,negated_conjecture,
    ( epred36_0
    | epred21_0
    | epred3_0
    | ~ epred31_0 ),
    inference(spm,[status(thm)],[c_0_437,c_0_438]) ).

cnf(c_0_459,negated_conjecture,
    ( epred21_0
    | epred4_0
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_439,c_0_263]) ).

cnf(c_0_460,negated_conjecture,
    ( epred21_0
    | ~ epred58_0
    | ~ epred50_0
    | ~ epred49_0
    | ~ epred31_0 ),
    inference(spm,[status(thm)],[c_0_440,c_0_441]) ).

cnf(c_0_461,negated_conjecture,
    ( epred49_0
    | epred21_0
    | ~ epred31_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_417])]) ).

fof(c_0_462,plain,
    ( ~ epred20_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c3_1(X1)
        | hskp27
        | ~ ndr1_0 ) ),
    introduced(definition) ).

fof(c_0_463,plain,
    ( ~ epred51_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_464,plain,
    ( ~ epred56_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | c1_1(X1)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_465,negated_conjecture,
    ( ~ c3_1(a1210)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_466,negated_conjecture,
    ( epred24_0
    | hskp3
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_443]),c_0_7])]) ).

cnf(c_0_467,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_468,negated_conjecture,
    ( epred38_0
    | epred14_0
    | epred2_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_425,c_0_444]) ).

cnf(c_0_469,negated_conjecture,
    ( epred38_0
    | epred14_0
    | epred6_0
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_445,c_0_446]) ).

cnf(c_0_470,negated_conjecture,
    ( epred6_0
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_379]),c_0_192]),c_0_190]) ).

cnf(c_0_471,negated_conjecture,
    ( epred38_0
    | epred31_0
    | hskp0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_447,c_0_448]) ).

cnf(c_0_472,negated_conjecture,
    ( epred38_0
    | epred31_0
    | epred6_0
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_445,c_0_449]) ).

cnf(c_0_473,negated_conjecture,
    ( epred41_0
    | ~ hskp17
    | ~ c2_1(a1237) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_450]),c_0_451]) ).

cnf(c_0_474,negated_conjecture,
    ( epred18_0
    | c2_1(a1237)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_450]),c_0_451]) ).

cnf(c_0_475,negated_conjecture,
    ( c3_1(a1228)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_476,negated_conjecture,
    ( c0_1(a1228)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_477,negated_conjecture,
    ( ~ c2_1(a1228)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_478,plain,
    ( ~ epred19_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | hskp25
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_479,negated_conjecture,
    ( c3_1(a1250)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_480,negated_conjecture,
    ( c2_1(a1250)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_481,negated_conjecture,
    ( ~ c0_1(a1250)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_482,negated_conjecture,
    ( epred41_0
    | ~ hskp28
    | ~ c2_1(a1214) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_20]),c_0_19]) ).

cnf(c_0_483,negated_conjecture,
    ( epred27_0
    | ~ hskp13
    | ~ c3_1(a1229) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_452]),c_0_196]) ).

cnf(c_0_484,negated_conjecture,
    ( hskp17
    | hskp5
    | c3_1(a1229)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_196]),c_0_198]) ).

cnf(c_0_485,negated_conjecture,
    ( epred27_0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_452]),c_0_451]),c_0_450]) ).

cnf(c_0_486,negated_conjecture,
    ( hskp22
    | hskp13
    | hskp11
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_455,c_0_184]) ).

cnf(c_0_487,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | hskp3
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_488,negated_conjecture,
    ( epred50_0
    | epred25_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_456]) ).

cnf(c_0_489,negated_conjecture,
    ( epred50_0
    | epred25_0
    | epred21_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_432,c_0_457]) ).

cnf(c_0_490,negated_conjecture,
    ( epred36_0
    | epred21_0
    | ~ epred31_0
    | ~ epred4_0 ),
    inference(spm,[status(thm)],[c_0_343,c_0_458]) ).

cnf(c_0_491,negated_conjecture,
    ( epred50_0
    | epred21_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_432,c_0_459]) ).

cnf(c_0_492,negated_conjecture,
    ( epred21_0
    | ~ epred50_0
    | ~ epred31_0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_460,c_0_417])]),c_0_461]) ).

cnf(c_0_493,negated_conjecture,
    ( epred42_0
    | epred31_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_251,c_0_110]) ).

cnf(c_0_494,negated_conjecture,
    ( epred31_0
    | epred21_0
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_274,c_0_203]) ).

cnf(c_0_495,negated_conjecture,
    ( epred20_0
    | hskp27
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_462]),c_0_7])]) ).

cnf(c_0_496,negated_conjecture,
    ( epred51_0
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_463]) ).

cnf(c_0_497,negated_conjecture,
    ( epred56_0
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_464]),c_0_7])]) ).

cnf(c_0_498,negated_conjecture,
    ( epred54_0
    | c2_1(a1210)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_357]),c_0_465]) ).

cnf(c_0_499,negated_conjecture,
    ( epred24_0
    | hskp3
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_77]),c_0_78]),c_0_75]) ).

cnf(c_0_500,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | hskp25
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_501,plain,
    ( ~ epred52_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | c3_1(X2)
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_502,negated_conjecture,
    ( c2_1(X3)
    | c2_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X3)
    | ~ c3_1(X3) ),
    inference(cn,[status(thm)],[c_0_467]) ).

cnf(c_0_503,negated_conjecture,
    ( epred38_0
    | epred14_0
    | epred6_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_468,c_0_469]) ).

cnf(c_0_504,negated_conjecture,
    ( epred38_0
    | epred31_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_471]),c_0_472]) ).

cnf(c_0_505,negated_conjecture,
    ( c1_1(a1211)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_506,negated_conjecture,
    ( ~ c2_1(a1211)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_507,negated_conjecture,
    ( ~ c0_1(a1211)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_508,negated_conjecture,
    ( epred41_0
    | epred18_0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[c_0_473,c_0_474]) ).

cnf(c_0_509,negated_conjecture,
    ( hskp17
    | hskp12
    | hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_510,negated_conjecture,
    ( epred18_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_475]),c_0_476]),c_0_477]) ).

cnf(c_0_511,negated_conjecture,
    ( epred19_0
    | hskp25
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_478]),c_0_7])]) ).

cnf(c_0_512,negated_conjecture,
    ( c0_1(a1236)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_513,negated_conjecture,
    ( ~ c1_1(a1236)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_514,negated_conjecture,
    ( ~ c3_1(a1236)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_515,negated_conjecture,
    ( epred25_0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_479]),c_0_480]),c_0_481]) ).

cnf(c_0_516,negated_conjecture,
    ( hskp16
    | hskp20
    | hskp23 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_517,negated_conjecture,
    ( epred41_0
    | epred31_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_482,c_0_216]) ).

cnf(c_0_518,negated_conjecture,
    ( epred27_0
    | hskp5
    | ~ hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_484]),c_0_485]) ).

cnf(c_0_519,negated_conjecture,
    ( epred31_0
    | hskp22
    | hskp13
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_251,c_0_486]) ).

cnf(c_0_520,negated_conjecture,
    ( hskp3
    | c0_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_487]) ).

cnf(c_0_521,negated_conjecture,
    ( epred50_0
    | epred25_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_488,c_0_489]) ).

cnf(c_0_522,negated_conjecture,
    ( epred36_0
    | epred21_0
    | ~ epred31_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_491]),c_0_492]) ).

cnf(c_0_523,negated_conjecture,
    ( epred42_0
    | epred31_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_493,c_0_494]) ).

cnf(c_0_524,negated_conjecture,
    ( epred38_0
    | epred21_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_30,c_0_414]) ).

cnf(c_0_525,negated_conjecture,
    ( epred55_0
    | ~ hskp19
    | ~ c0_1(a1247) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_214]),c_0_11]) ).

cnf(c_0_526,negated_conjecture,
    ( epred20_0
    | hskp27
    | c0_1(a1247)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_495]),c_0_13]) ).

cnf(c_0_527,negated_conjecture,
    ( epred51_0
    | c0_1(a1224)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_63]),c_0_84]) ).

cnf(c_0_528,negated_conjecture,
    ( epred14_0
    | c0_1(a1247)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_214]),c_0_13]) ).

fof(c_0_529,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | hskp10
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_530,negated_conjecture,
    ( epred56_0
    | c0_1(a1216)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_497]),c_0_49]) ).

cnf(c_0_531,negated_conjecture,
    ( epred54_0
    | epred2_0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[c_0_371,c_0_498]) ).

cnf(c_0_532,negated_conjecture,
    ( epred24_0
    | hskp25
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_499,c_0_4]) ).

cnf(c_0_533,negated_conjecture,
    ( hskp25
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_500]) ).

cnf(c_0_534,negated_conjecture,
    ( ~ epred52_0
    | ~ epred18_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_502,c_0_501]),c_0_362]),c_0_150]) ).

cnf(c_0_535,negated_conjecture,
    ( epred38_0
    | epred14_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_503]),c_0_504]) ).

cnf(c_0_536,negated_conjecture,
    ( epred14_0
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_505]),c_0_506]),c_0_507]) ).

cnf(c_0_537,negated_conjecture,
    ( epred41_0
    | epred18_0
    | hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_509]),c_0_510]) ).

cnf(c_0_538,negated_conjecture,
    ( epred19_0
    | hskp25
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_512]),c_0_513]),c_0_514]) ).

cnf(c_0_539,negated_conjecture,
    ( epred25_0
    | hskp23
    | hskp16 ),
    inference(spm,[status(thm)],[c_0_515,c_0_516]) ).

cnf(c_0_540,negated_conjecture,
    ( epred41_0
    | epred31_0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[c_0_517,c_0_427]) ).

cnf(c_0_541,negated_conjecture,
    ( epred41_0
    | epred31_0
    | epred6_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_517,c_0_424]) ).

cnf(c_0_542,negated_conjecture,
    ( epred31_0
    | epred27_0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[c_0_274,c_0_518]) ).

cnf(c_0_543,negated_conjecture,
    ( epred31_0
    | epred1_0
    | hskp13
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_90,c_0_519]) ).

cnf(c_0_544,negated_conjecture,
    ( ~ epred36_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_520,c_0_326]),c_0_342]) ).

cnf(c_0_545,negated_conjecture,
    ( epred50_0
    | epred25_0
    | ~ epred44_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_521]) ).

cnf(c_0_546,negated_conjecture,
    ( epred36_0
    | ~ epred44_0
    | ~ epred31_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_522]) ).

cnf(c_0_547,negated_conjecture,
    ( epred42_0
    | epred31_0
    | ~ epred44_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_523]) ).

cnf(c_0_548,negated_conjecture,
    ( ~ epred50_0
    | ~ epred44_0
    | ~ epred31_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_492]) ).

cnf(c_0_549,negated_conjecture,
    ( epred56_0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_497]),c_0_106]),c_0_105]) ).

cnf(c_0_550,negated_conjecture,
    ( epred43_0
    | epred38_0
    | epred21_0
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_524,c_0_122]) ).

cnf(c_0_551,negated_conjecture,
    ( hskp26
    | hskp24
    | hskp7
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_385,c_0_35]) ).

cnf(c_0_552,negated_conjecture,
    ( epred55_0
    | epred20_0
    | hskp27
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_525,c_0_526]) ).

cnf(c_0_553,negated_conjecture,
    ( epred51_0
    | epred21_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_155,c_0_527]) ).

cnf(c_0_554,negated_conjecture,
    ( epred14_0
    | epred1_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_21,c_0_528]) ).

cnf(c_0_555,negated_conjecture,
    ( hskp4
    | hskp18
    | hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_556,negated_conjecture,
    ( epred28_0
    | hskp10
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_529]),c_0_7])]) ).

cnf(c_0_557,negated_conjecture,
    ( epred56_0
    | epred1_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_65,c_0_530]) ).

cnf(c_0_558,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | hskp3
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_559,negated_conjecture,
    ( epred54_0
    | epred24_0
    | epred2_0
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_531,c_0_532]) ).

cnf(c_0_560,negated_conjecture,
    ( ~ epred19_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_533,c_0_478]),c_0_363]) ).

cnf(c_0_561,negated_conjecture,
    ( epred38_0
    | epred14_0
    | ~ epred52_0
    | ~ epred18_0 ),
    inference(spm,[status(thm)],[c_0_534,c_0_535]) ).

cnf(c_0_562,negated_conjecture,
    ( epred41_0
    | epred18_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_536,c_0_537]) ).

cnf(c_0_563,negated_conjecture,
    ( epred25_0
    | epred19_0
    | hskp25
    | hskp23 ),
    inference(spm,[status(thm)],[c_0_538,c_0_539]) ).

cnf(c_0_564,negated_conjecture,
    ( epred41_0
    | epred31_0
    | hskp0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_540,c_0_448]) ).

cnf(c_0_565,negated_conjecture,
    ( epred41_0
    | epred31_0
    | epred6_0
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_541,c_0_449]) ).

cnf(c_0_566,negated_conjecture,
    ( epred31_0
    | ~ hskp4
    | ~ c3_1(a1211) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_505]),c_0_506]) ).

cnf(c_0_567,negated_conjecture,
    ( epred54_0
    | c3_1(a1211)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_505]),c_0_506]) ).

cnf(c_0_568,negated_conjecture,
    ( epred27_0
    | ~ hskp24
    | ~ c3_1(a1267) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_452]),c_0_25]) ).

cnf(c_0_569,negated_conjecture,
    ( hskp17
    | hskp5
    | c3_1(a1267)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_25]),c_0_23]) ).

cnf(c_0_570,negated_conjecture,
    ( epred31_0
    | epred27_0
    | epred1_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_542,c_0_543]) ).

cnf(c_0_571,negated_conjecture,
    ( epred31_0
    | epred2_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_251,c_0_444]) ).

cnf(c_0_572,negated_conjecture,
    ( epred50_0
    | ~ epred44_0
    | ~ epred36_0 ),
    inference(spm,[status(thm)],[c_0_544,c_0_545]) ).

cnf(c_0_573,negated_conjecture,
    ( epred42_0
    | epred36_0
    | ~ epred44_0 ),
    inference(spm,[status(thm)],[c_0_546,c_0_547]) ).

cnf(c_0_574,negated_conjecture,
    ( epred42_0
    | ~ epred50_0
    | ~ epred44_0 ),
    inference(spm,[status(thm)],[c_0_548,c_0_547]) ).

cnf(c_0_575,negated_conjecture,
    ( epred56_0
    | epred43_0
    | epred38_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_549,c_0_550]) ).

cnf(c_0_576,negated_conjecture,
    ( epred4_0
    | epred1_0
    | hskp7
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_410,c_0_263]) ).

cnf(c_0_577,negated_conjecture,
    ( epred16_0
    | hskp26
    | hskp7
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_32,c_0_551]) ).

cnf(c_0_578,negated_conjecture,
    ( epred16_0
    | ~ hskp7
    | ~ c0_1(a1216) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_24]),c_0_49]) ).

cnf(c_0_579,negated_conjecture,
    ( c2_1(X1)
    | hskp3
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_580,negated_conjecture,
    ( epred55_0
    | epred20_0
    | epred4_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_239,c_0_552]) ).

cnf(c_0_581,negated_conjecture,
    ( epred51_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_218]),c_0_29]),c_0_27]) ).

cnf(c_0_582,negated_conjecture,
    ( epred51_0
    | epred38_0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_82,c_0_527]) ).

cnf(c_0_583,negated_conjecture,
    ( epred51_0
    | epred21_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_553,c_0_175]) ).

cnf(c_0_584,negated_conjecture,
    ( epred44_0
    | epred14_0
    | epred1_0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[c_0_554,c_0_318]) ).

cnf(c_0_585,negated_conjecture,
    ( epred14_0
    | hskp18
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_536,c_0_555]) ).

cnf(c_0_586,negated_conjecture,
    ( epred54_0
    | epred38_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_234,c_0_254]) ).

fof(c_0_587,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_588,negated_conjecture,
    ( epred55_0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_357]),c_0_358]),c_0_465]) ).

fof(c_0_589,plain,
    ( ~ epred57_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_590,plain,
    ( ~ epred23_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_591,negated_conjecture,
    ( epred28_0
    | hskp10
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_158]),c_0_159]),c_0_160]) ).

cnf(c_0_592,negated_conjecture,
    ( epred56_0
    | epred1_0
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_557,c_0_112]) ).

fof(c_0_593,plain,
    ( ~ epred45_0
  <=> ! [X1] :
        ( c2_1(X1)
        | hskp3
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_594,plain,
    ( ~ epred40_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c3_1(X1)
        | hskp9
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_595,negated_conjecture,
    ( hskp3
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_558]) ).

cnf(c_0_596,negated_conjecture,
    ( epred54_0
    | epred41_0
    | epred24_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_116,c_0_559]) ).

cnf(c_0_597,negated_conjecture,
    ( epred38_0
    | ~ epred52_0
    | ~ epred19_0
    | ~ epred18_0 ),
    inference(spm,[status(thm)],[c_0_560,c_0_561]) ).

cnf(c_0_598,negated_conjecture,
    ( epred41_0
    | epred18_0
    | ~ epred19_0 ),
    inference(spm,[status(thm)],[c_0_560,c_0_562]) ).

cnf(c_0_599,negated_conjecture,
    ( epred38_0
    | epred25_0
    | epred19_0
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_447,c_0_563]) ).

cnf(c_0_600,negated_conjecture,
    ( epred41_0
    | epred31_0
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_564]),c_0_565]) ).

cnf(c_0_601,negated_conjecture,
    ( epred54_0
    | epred31_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_566,c_0_567]) ).

cnf(c_0_602,negated_conjecture,
    ( epred31_0
    | epred27_0
    | hskp6
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_542,c_0_224]) ).

cnf(c_0_603,negated_conjecture,
    ( epred27_0
    | hskp5
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_569]),c_0_485]) ).

cnf(c_0_604,negated_conjecture,
    ( epred43_0
    | epred21_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_444]),c_0_279]) ).

cnf(c_0_605,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_606,negated_conjecture,
    ( epred31_0
    | epred27_0
    | epred21_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_570,c_0_494]) ).

cnf(c_0_607,negated_conjecture,
    ( epred31_0
    | epred21_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_571,c_0_494]) ).

cnf(c_0_608,negated_conjecture,
    ( epred42_0
    | ~ epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_573]),c_0_574]) ).

cnf(c_0_609,negated_conjecture,
    ( epred56_0
    | epred43_0
    | epred38_0
    | ~ epred44_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_575]) ).

cnf(c_0_610,negated_conjecture,
    ( epred56_0
    | epred4_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_576]),c_0_557]) ).

cnf(c_0_611,negated_conjecture,
    ( epred16_0
    | epred2_0
    | hskp7
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_54,c_0_577]) ).

cnf(c_0_612,negated_conjecture,
    ( epred56_0
    | epred16_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_578,c_0_530]) ).

cnf(c_0_613,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | hskp27
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_614,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_579]) ).

cnf(c_0_615,negated_conjecture,
    ( epred55_0
    | epred20_0
    | epred4_0
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_580,c_0_263]) ).

cnf(c_0_616,negated_conjecture,
    ( epred51_0
    | hskp28
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_496,c_0_14]) ).

cnf(c_0_617,negated_conjecture,
    ( epred51_0
    | epred38_0
    | epred16_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_581,c_0_53]) ).

cnf(c_0_618,negated_conjecture,
    ( epred51_0
    | epred38_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_582,c_0_175]) ).

cnf(c_0_619,negated_conjecture,
    ( epred55_0
    | epred51_0
    | epred38_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_582,c_0_258]) ).

cnf(c_0_620,negated_conjecture,
    ( epred51_0
    | epred21_0
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_583,c_0_203]) ).

cnf(c_0_621,negated_conjecture,
    ( epred44_0
    | epred14_0
    | epred1_0
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_584,c_0_585]) ).

cnf(c_0_622,negated_conjecture,
    ( epred38_0
    | epred14_0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_425,c_0_175]) ).

cnf(c_0_623,negated_conjecture,
    ( epred54_0
    | epred38_0
    | hskp6
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_586,c_0_177]) ).

fof(c_0_624,plain,
    ( ~ epred48_0
  <=> ! [X2] :
        ( hskp1
        | ~ ndr1_0
        | ~ c2_1(X2)
        | ~ c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_625,negated_conjecture,
    ( epred29_0
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_587]) ).

cnf(c_0_626,negated_conjecture,
    ( epred55_0
    | epred38_0
    | epred14_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_425,c_0_258]) ).

cnf(c_0_627,negated_conjecture,
    ( epred55_0
    | epred24_0
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_588,c_0_532]) ).

cnf(c_0_628,negated_conjecture,
    ( epred57_0
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_589]) ).

cnf(c_0_629,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_630,negated_conjecture,
    ( epred23_0
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_590]) ).

cnf(c_0_631,negated_conjecture,
    ( epred47_0
    | epred28_0
    | hskp10
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_591,c_0_208]) ).

cnf(c_0_632,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp15
    | hskp4
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_633,negated_conjecture,
    ( epred56_0
    | epred42_0
    | epred31_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_493,c_0_592]) ).

cnf(c_0_634,negated_conjecture,
    ( epred52_0
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_501]),c_0_7])]) ).

cnf(c_0_635,negated_conjecture,
    ( epred45_0
    | hskp3
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_593]),c_0_7])]) ).

cnf(c_0_636,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_637,negated_conjecture,
    ( c1_1(a1219)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_638,negated_conjecture,
    ( ~ c0_1(a1219)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_639,negated_conjecture,
    ( c2_1(a1219)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_640,negated_conjecture,
    ( epred40_0
    | hskp9
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_594]),c_0_7])]) ).

cnf(c_0_641,negated_conjecture,
    ( hskp1
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_642,negated_conjecture,
    ( ~ epred25_0
    | ~ epred24_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_595,c_0_443]),c_0_342]) ).

cnf(c_0_643,negated_conjecture,
    ( epred54_0
    | epred41_0
    | epred24_0
    | ~ epred31_0 ),
    inference(spm,[status(thm)],[c_0_437,c_0_596]) ).

cnf(c_0_644,negated_conjecture,
    ( epred41_0
    | ~ epred52_0
    | ~ epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_598]),c_0_135]) ).

cnf(c_0_645,negated_conjecture,
    ( epred41_0
    | epred25_0
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_599]),c_0_135]) ).

cnf(c_0_646,negated_conjecture,
    ( epred41_0
    | epred31_0
    | ~ epred52_0
    | ~ epred18_0 ),
    inference(spm,[status(thm)],[c_0_534,c_0_600]) ).

cnf(c_0_647,negated_conjecture,
    ( epred54_0
    | epred41_0
    | epred31_0
    | epred18_0 ),
    inference(spm,[status(thm)],[c_0_601,c_0_537]) ).

cnf(c_0_648,negated_conjecture,
    ( epred47_0
    | epred31_0
    | epred27_0
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_602,c_0_295]) ).

cnf(c_0_649,negated_conjecture,
    ( epred31_0
    | epred27_0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_274,c_0_603]) ).

cnf(c_0_650,negated_conjecture,
    ( epred43_0
    | epred21_0
    | ~ epred58_0
    | ~ epred31_0 ),
    inference(spm,[status(thm)],[c_0_416,c_0_604]) ).

cnf(c_0_651,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(X3)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X3)
    | ~ c1_1(X2)
    | ~ c3_1(X3) ),
    inference(cn,[status(thm)],[c_0_605]) ).

cnf(c_0_652,negated_conjecture,
    ( epred31_0
    | epred27_0
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_606]),c_0_607]) ).

cnf(c_0_653,negated_conjecture,
    ( ~ epred44_0
    | ~ epred43_0 ),
    inference(spm,[status(thm)],[c_0_152,c_0_608]) ).

cnf(c_0_654,negated_conjecture,
    ( epred56_0
    | epred43_0
    | ~ epred44_0 ),
    inference(spm,[status(thm)],[c_0_335,c_0_609]) ).

cnf(c_0_655,negated_conjecture,
    ( epred50_0
    | epred43_0
    | epred38_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_432,c_0_550]) ).

cnf(c_0_656,negated_conjecture,
    ( epred56_0
    | epred4_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_610]) ).

cnf(c_0_657,negated_conjecture,
    ( epred56_0
    | epred16_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_611]),c_0_612]) ).

cnf(c_0_658,negated_conjecture,
    ( epred54_0
    | epred4_0
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_305,c_0_263]) ).

cnf(c_0_659,negated_conjecture,
    ( hskp27
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_613]) ).

cnf(c_0_660,negated_conjecture,
    ( ~ epred45_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_614,c_0_593]),c_0_169]) ).

cnf(c_0_661,negated_conjecture,
    ( epred56_0
    | epred55_0
    | epred20_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_549,c_0_615]) ).

cnf(c_0_662,negated_conjecture,
    ( epred56_0
    | epred21_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_549,c_0_459]) ).

cnf(c_0_663,negated_conjecture,
    ( epred31_0
    | epred21_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_292,c_0_494]) ).

cnf(c_0_664,negated_conjecture,
    ( epred51_0
    | hskp28
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_616]),c_0_106]) ).

cnf(c_0_665,negated_conjecture,
    ( epred51_0
    | epred38_0
    | epred16_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_617]),c_0_74]) ).

cnf(c_0_666,negated_conjecture,
    ( epred55_0
    | epred51_0
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_618,c_0_282]),c_0_619]) ).

cnf(c_0_667,negated_conjecture,
    ( epred51_0
    | epred42_0
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_110]),c_0_620]) ).

cnf(c_0_668,negated_conjecture,
    ( epred44_0
    | epred38_0
    | epred14_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_111,c_0_621]) ).

cnf(c_0_669,negated_conjecture,
    ( epred54_0
    | epred38_0
    | epred14_0
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_622,c_0_623]) ).

cnf(c_0_670,negated_conjecture,
    ( epred48_0
    | hskp1
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_624]),c_0_7])]) ).

cnf(c_0_671,negated_conjecture,
    ( epred29_0
    | ~ hskp10
    | ~ c0_1(a1223) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_625]),c_0_166]) ).

cnf(c_0_672,negated_conjecture,
    ( epred29_0
    | ~ hskp6
    | ~ c0_1(a1215) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_625]),c_0_87]) ).

fof(c_0_673,plain,
    ( ~ epred26_0
  <=> ! [X1] :
        ( c1_1(X1)
        | c3_1(X1)
        | hskp9
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_674,negated_conjecture,
    ( epred55_0
    | epred38_0
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_282]),c_0_626]) ).

cnf(c_0_675,negated_conjecture,
    ( epred55_0
    | epred41_0
    | epred24_0 ),
    inference(spm,[status(thm)],[c_0_116,c_0_627]) ).

cnf(c_0_676,negated_conjecture,
    ( epred57_0
    | c0_1(a1213)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_628,c_0_59]),c_0_217]) ).

cnf(c_0_677,negated_conjecture,
    ( epred41_0
    | epred29_0
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_625]) ).

cnf(c_0_678,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c3_1(X3) ),
    inference(cn,[status(thm)],[c_0_629]) ).

cnf(c_0_679,negated_conjecture,
    ( epred23_0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_630,c_0_86]),c_0_87]),c_0_88]) ).

cnf(c_0_680,negated_conjecture,
    ( epred47_0
    | epred39_0
    | epred28_0
    | hskp6 ),
    inference(spm,[status(thm)],[c_0_246,c_0_631]) ).

cnf(c_0_681,negated_conjecture,
    ( hskp15
    | hskp4
    | c1_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_632,c_0_7])]) ).

cnf(c_0_682,negated_conjecture,
    ( epred56_0
    | epred42_0
    | epred31_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_633]) ).

cnf(c_0_683,negated_conjecture,
    ( epred52_0
    | c0_1(a1216)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_634]),c_0_49]) ).

cnf(c_0_684,negated_conjecture,
    ( epred54_0
    | epred31_0
    | hskp18
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_601,c_0_555]) ).

cnf(c_0_685,negated_conjecture,
    ( epred45_0
    | hskp3
    | c2_1(a1214)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_635,c_0_20]),c_0_19]) ).

cnf(c_0_686,negated_conjecture,
    ( c2_1(X2)
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_636]) ).

cnf(c_0_687,negated_conjecture,
    ( epred43_0
    | ~ hskp9
    | ~ c3_1(a1219) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_637]),c_0_638]) ).

cnf(c_0_688,negated_conjecture,
    ( epred28_0
    | hskp10
    | c3_1(a1219)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_639]),c_0_638]) ).

cnf(c_0_689,negated_conjecture,
    ( epred40_0
    | hskp9
    | c0_1(a1247)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_640,c_0_214]),c_0_11]) ).

fof(c_0_690,plain,
    ( ~ epred37_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | hskp5
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_691,negated_conjecture,
    ( hskp1
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_641]) ).

cnf(c_0_692,negated_conjecture,
    ( epred54_0
    | epred41_0
    | ~ epred31_0
    | ~ epred25_0 ),
    inference(spm,[status(thm)],[c_0_642,c_0_643]) ).

cnf(c_0_693,negated_conjecture,
    ( epred41_0
    | epred25_0
    | ~ epred52_0 ),
    inference(spm,[status(thm)],[c_0_644,c_0_645]) ).

cnf(c_0_694,negated_conjecture,
    ( epred54_0
    | epred41_0
    | epred31_0
    | ~ epred52_0 ),
    inference(spm,[status(thm)],[c_0_646,c_0_647]) ).

cnf(c_0_695,negated_conjecture,
    ( epred47_0
    | epred31_0
    | epred27_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_570,c_0_648]) ).

cnf(c_0_696,negated_conjecture,
    ( epred31_0
    | epred27_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_649,c_0_312]) ).

cnf(c_0_697,negated_conjecture,
    ( epred43_0
    | ~ epred58_0
    | ~ epred44_0
    | ~ epred31_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_650]) ).

cnf(c_0_698,negated_conjecture,
    ( ~ epred57_0
    | ~ epred56_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_651,c_0_464]),c_0_429]),c_0_589]) ).

cnf(c_0_699,negated_conjecture,
    ( epred31_0
    | epred27_0
    | ~ epred44_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_652]) ).

cnf(c_0_700,negated_conjecture,
    ( epred56_0
    | ~ epred44_0 ),
    inference(spm,[status(thm)],[c_0_653,c_0_654]) ).

cnf(c_0_701,negated_conjecture,
    ( epred50_0
    | epred43_0
    | epred38_0
    | ~ epred44_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_655]) ).

cnf(c_0_702,negated_conjecture,
    ( epred56_0
    | epred16_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_656,c_0_657]) ).

cnf(c_0_703,negated_conjecture,
    ( epred56_0
    | epred54_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_549,c_0_658]) ).

cnf(c_0_704,negated_conjecture,
    ( ~ epred21_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_659,c_0_462]),c_0_143]) ).

cnf(c_0_705,negated_conjecture,
    ( epred56_0
    | epred55_0
    | epred20_0
    | ~ epred45_0 ),
    inference(spm,[status(thm)],[c_0_660,c_0_661]) ).

cnf(c_0_706,negated_conjecture,
    ( epred56_0
    | epred21_0
    | ~ epred45_0 ),
    inference(spm,[status(thm)],[c_0_660,c_0_662]) ).

cnf(c_0_707,negated_conjecture,
    ( epred31_0
    | epred21_0
    | ~ epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_663]),c_0_317]) ).

cnf(c_0_708,negated_conjecture,
    ( epred51_0
    | epred38_0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_30,c_0_664]) ).

cnf(c_0_709,negated_conjecture,
    ( epred51_0
    | epred38_0
    | ~ epred54_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_665]),c_0_666]) ).

cnf(c_0_710,negated_conjecture,
    ( epred51_0
    | epred42_0
    | ~ epred44_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_667]) ).

cnf(c_0_711,negated_conjecture,
    ( epred44_0
    | epred38_0
    | epred14_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_668]) ).

cnf(c_0_712,negated_conjecture,
    ( epred54_0
    | epred38_0
    | epred14_0
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_468,c_0_669]) ).

cnf(c_0_713,negated_conjecture,
    ( epred48_0
    | hskp1
    | ~ hskp28
    | ~ c2_1(a1214) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_670,c_0_18]),c_0_20]) ).

cnf(c_0_714,negated_conjecture,
    ( epred29_0
    | hskp11
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_671,c_0_180]) ).

cnf(c_0_715,negated_conjecture,
    ( epred29_0
    | hskp11
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_672,c_0_184]) ).

cnf(c_0_716,negated_conjecture,
    ( epred47_0
    | hskp10
    | c2_1(a1214)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_18]),c_0_19]) ).

cnf(c_0_717,negated_conjecture,
    ( epred47_0
    | hskp10
    | ~ hskp19
    | ~ c0_1(a1247) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_214]),c_0_13]) ).

cnf(c_0_718,negated_conjecture,
    ( epred26_0
    | hskp9
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_673]),c_0_7])]) ).

cnf(c_0_719,negated_conjecture,
    ( hskp11
    | c3_1(a1219)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_639]),c_0_638]) ).

cnf(c_0_720,negated_conjecture,
    ( epred55_0
    | epred38_0
    | ~ epred19_0 ),
    inference(spm,[status(thm)],[c_0_560,c_0_674]) ).

cnf(c_0_721,negated_conjecture,
    ( epred55_0
    | epred41_0
    | ~ epred25_0 ),
    inference(spm,[status(thm)],[c_0_642,c_0_675]) ).

cnf(c_0_722,negated_conjecture,
    ( epred57_0
    | epred38_0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[c_0_80,c_0_676]) ).

cnf(c_0_723,negated_conjecture,
    ( epred41_0
    | epred29_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_43]),c_0_42]) ).

cnf(c_0_724,negated_conjecture,
    ( epred18_0
    | epred1_0
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_164,c_0_12]) ).

cnf(c_0_725,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c0_1(X3)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_726,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp9
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_727,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp5
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_728,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | hskp10
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_729,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | hskp9
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_730,negated_conjecture,
    ( ~ epred52_0
    | ~ epred38_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_678,c_0_501]),c_0_590]),c_0_10]) ).

cnf(c_0_731,negated_conjecture,
    ( epred47_0
    | epred39_0
    | epred28_0
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_679,c_0_680]) ).

cnf(c_0_732,negated_conjecture,
    ( hskp28
    | hskp15
    | hskp4
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_681,c_0_14]) ).

cnf(c_0_733,negated_conjecture,
    ( epred44_0
    | hskp19
    | ~ hskp21
    | ~ c2_1(a1257) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_77]),c_0_75]) ).

cnf(c_0_734,negated_conjecture,
    ( hskp15
    | hskp4
    | c2_1(a1257)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_681,c_0_77]),c_0_75]) ).

cnf(c_0_735,negated_conjecture,
    ( epred56_0
    | epred42_0
    | epred31_0
    | epred16_0 ),
    inference(spm,[status(thm)],[c_0_682,c_0_329]) ).

cnf(c_0_736,negated_conjecture,
    ( epred28_0
    | hskp10
    | c0_1(a1215)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_87]),c_0_88]) ).

cnf(c_0_737,negated_conjecture,
    ( epred52_0
    | epred1_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_65,c_0_683]) ).

cnf(c_0_738,negated_conjecture,
    ( epred54_0
    | epred44_0
    | epred31_0
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_333,c_0_684]) ).

cnf(c_0_739,negated_conjecture,
    ( epred48_0
    | epred27_0
    | hskp1
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_670,c_0_452]) ).

cnf(c_0_740,negated_conjecture,
    ( epred45_0
    | epred2_0
    | hskp3
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_261,c_0_685]) ).

cnf(c_0_741,negated_conjecture,
    ( epred55_0
    | hskp28
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_525,c_0_22]) ).

cnf(c_0_742,negated_conjecture,
    ( ~ epred41_0
    | ~ epred12_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_686,c_0_6]),c_0_56]),c_0_45]) ).

cnf(c_0_743,negated_conjecture,
    ( epred44_0
    | hskp19
    | c1_1(a1204)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_99]),c_0_100]) ).

cnf(c_0_744,negated_conjecture,
    ( epred43_0
    | epred28_0
    | hskp10
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_687,c_0_688]) ).

cnf(c_0_745,negated_conjecture,
    ( epred40_0
    | epred1_0
    | hskp9
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_21,c_0_689]) ).

cnf(c_0_746,negated_conjecture,
    ( epred28_0
    | hskp10
    | c3_1(a1205)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_192]),c_0_190]) ).

cnf(c_0_747,negated_conjecture,
    ( epred37_0
    | hskp5
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_690]),c_0_7])]) ).

cnf(c_0_748,negated_conjecture,
    ( epred19_0
    | hskp25
    | c1_1(a1206)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_93]),c_0_95]) ).

cnf(c_0_749,negated_conjecture,
    ( epred43_0
    | ~ hskp4
    | ~ c3_1(a1211) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_505]),c_0_507]) ).

cnf(c_0_750,negated_conjecture,
    ( epred27_0
    | epred2_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_452]) ).

cnf(c_0_751,negated_conjecture,
    ( ~ epred48_0
    | ~ epred41_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_691,c_0_624]),c_0_45]) ).

cnf(c_0_752,negated_conjecture,
    ( epred54_0
    | epred41_0
    | ~ epred52_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_692,c_0_693]),c_0_694]) ).

cnf(c_0_753,negated_conjecture,
    ( epred47_0
    | epred31_0
    | epred27_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_695]),c_0_696]) ).

cnf(c_0_754,negated_conjecture,
    ( epred43_0
    | ~ epred44_0
    | ~ epred31_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_697,c_0_417])]) ).

cnf(c_0_755,negated_conjecture,
    ( epred31_0
    | ~ epred57_0
    | ~ epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_698,c_0_699]),c_0_700]) ).

cnf(c_0_756,negated_conjecture,
    ( epred50_0
    | epred43_0
    | ~ epred44_0 ),
    inference(spm,[status(thm)],[c_0_335,c_0_701]) ).

cnf(c_0_757,negated_conjecture,
    ( epred56_0
    | epred16_0
    | ~ epred45_0 ),
    inference(spm,[status(thm)],[c_0_660,c_0_702]) ).

cnf(c_0_758,negated_conjecture,
    ( epred56_0
    | epred54_0
    | ~ epred45_0 ),
    inference(spm,[status(thm)],[c_0_660,c_0_703]) ).

cnf(c_0_759,negated_conjecture,
    ( epred56_0
    | epred55_0
    | ~ epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_704,c_0_705]),c_0_706]) ).

cnf(c_0_760,negated_conjecture,
    ( epred56_0
    | epred16_0
    | ~ epred31_0 ),
    inference(spm,[status(thm)],[c_0_437,c_0_657]) ).

cnf(c_0_761,negated_conjecture,
    ( epred31_0
    | ~ epred44_0
    | ~ epred38_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_707]) ).

cnf(c_0_762,negated_conjecture,
    ( epred51_0
    | epred43_0
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_708,c_0_322]),c_0_709]) ).

cnf(c_0_763,negated_conjecture,
    ( epred51_0
    | ~ epred44_0
    | ~ epred43_0 ),
    inference(spm,[status(thm)],[c_0_152,c_0_710]) ).

cnf(c_0_764,negated_conjecture,
    ( epred54_0
    | epred44_0
    | epred38_0
    | epred14_0 ),
    inference(spm,[status(thm)],[c_0_711,c_0_712]) ).

cnf(c_0_765,negated_conjecture,
    ( epred48_0
    | epred21_0
    | hskp1
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_713,c_0_389]) ).

cnf(c_0_766,negated_conjecture,
    ( epred31_0
    | epred29_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_251,c_0_714]) ).

cnf(c_0_767,negated_conjecture,
    ( epred31_0
    | epred29_0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_251,c_0_715]) ).

cnf(c_0_768,negated_conjecture,
    ( epred47_0
    | epred2_0
    | hskp10
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_261,c_0_716]) ).

cnf(c_0_769,negated_conjecture,
    ( epred47_0
    | hskp28
    | hskp10
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_717,c_0_22]) ).

cnf(c_0_770,negated_conjecture,
    ( epred42_0
    | epred38_0
    | epred31_0
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_493,c_0_124]) ).

cnf(c_0_771,negated_conjecture,
    ( epred35_0
    | hskp1
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_637]),c_0_639]),c_0_638]) ).

cnf(c_0_772,negated_conjecture,
    ( epred26_0
    | hskp9
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_718,c_0_166]),c_0_200]),c_0_165]) ).

cnf(c_0_773,negated_conjecture,
    ( epred43_0
    | hskp11
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_687,c_0_719]) ).

cnf(c_0_774,negated_conjecture,
    ( epred55_0
    | epred41_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_720,c_0_645]),c_0_721]),c_0_135]) ).

cnf(c_0_775,negated_conjecture,
    ( epred57_0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_628,c_0_637]),c_0_639]),c_0_638]) ).

cnf(c_0_776,negated_conjecture,
    ( epred57_0
    | epred38_0
    | hskp19
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_722,c_0_108]) ).

cnf(c_0_777,negated_conjecture,
    ( epred3_0
    | c3_1(a1211)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_505]),c_0_507]) ).

cnf(c_0_778,negated_conjecture,
    ( epred18_0
    | c2_1(a1214)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_20]),c_0_19]) ).

cnf(c_0_779,negated_conjecture,
    ( epred41_0
    | epred29_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_93]),c_0_94]) ).

cnf(c_0_780,negated_conjecture,
    ( epred41_0
    | epred29_0
    | hskp25
    | hskp1 ),
    inference(spm,[status(thm)],[c_0_723,c_0_104]) ).

cnf(c_0_781,negated_conjecture,
    ( epred41_0
    | epred29_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_101]),c_0_100]) ).

cnf(c_0_782,negated_conjecture,
    ( epred18_0
    | epred1_0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_724,c_0_162]),c_0_163]) ).

cnf(c_0_783,negated_conjecture,
    ( c2_1(X2)
    | c2_1(X1)
    | c0_1(X3)
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_725]) ).

cnf(c_0_784,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_726]) ).

cnf(c_0_785,negated_conjecture,
    ( hskp5
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[c_0_727]) ).

cnf(c_0_786,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_728]) ).

cnf(c_0_787,negated_conjecture,
    ( hskp9
    | c1_1(X2)
    | c1_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_729]) ).

cnf(c_0_788,negated_conjecture,
    ( epred47_0
    | epred39_0
    | epred28_0
    | ~ epred52_0
    | ~ epred38_0 ),
    inference(spm,[status(thm)],[c_0_730,c_0_731]) ).

cnf(c_0_789,negated_conjecture,
    ( hskp28
    | hskp15
    | hskp4
    | c0_1(a1207)
    | c2_1(a1207)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_409,c_0_732]) ).

cnf(c_0_790,negated_conjecture,
    ( epred44_0
    | hskp19
    | hskp15
    | hskp4
    | ~ hskp21 ),
    inference(spm,[status(thm)],[c_0_733,c_0_734]) ).

cnf(c_0_791,negated_conjecture,
    ( epred56_0
    | epred42_0
    | epred31_0
    | ~ epred55_0
    | ~ epred54_0 ),
    inference(spm,[status(thm)],[c_0_306,c_0_735]) ).

cnf(c_0_792,negated_conjecture,
    ( hskp23
    | hskp0
    | epred28_0
    | hskp10
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_407,c_0_736]) ).

cnf(c_0_793,negated_conjecture,
    ( epred52_0
    | epred1_0
    | epred54_0
    | epred44_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_737,c_0_738]) ).

cnf(c_0_794,negated_conjecture,
    ( epred48_0
    | epred27_0
    | hskp1
    | ~ c0_1(a1204)
    | ~ c2_1(a1204)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_739,c_0_99]) ).

cnf(c_0_795,negated_conjecture,
    ( epred47_0
    | hskp10
    | epred20_0
    | hskp27
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_717,c_0_526]) ).

cnf(c_0_796,negated_conjecture,
    ( epred45_0
    | epred2_0
    | hskp3
    | epred55_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_740,c_0_741]) ).

cnf(c_0_797,negated_conjecture,
    ( epred44_0
    | epred38_0
    | epred14_0
    | ~ epred41_0
    | ~ epred12_0 ),
    inference(spm,[status(thm)],[c_0_742,c_0_668]) ).

cnf(c_0_798,negated_conjecture,
    ( epred48_0
    | hskp1
    | epred44_0
    | hskp19
    | ~ c3_1(a1204)
    | ~ c2_1(a1204)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_670,c_0_743]) ).

cnf(c_0_799,negated_conjecture,
    ( epred2_0
    | epred44_0
    | hskp19
    | ~ c0_1(a1204)
    | ~ c2_1(a1204)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_40,c_0_743]) ).

cnf(c_0_800,negated_conjecture,
    ( epred43_0
    | epred28_0
    | hskp10
    | epred40_0
    | epred1_0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_744,c_0_745]) ).

cnf(c_0_801,negated_conjecture,
    ( epred44_0
    | hskp19
    | c1_1(a1205)
    | epred28_0
    | hskp10
    | ~ c2_1(a1205)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_298,c_0_746]) ).

cnf(c_0_802,negated_conjecture,
    ( epred37_0
    | hskp5
    | c1_1(a1205)
    | c0_1(a1205)
    | epred28_0
    | hskp10
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_747,c_0_746]) ).

cnf(c_0_803,negated_conjecture,
    ( epred42_0
    | hskp11
    | c3_1(a1206)
    | epred19_0
    | hskp25
    | ~ c2_1(a1206)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_85,c_0_748]) ).

cnf(c_0_804,negated_conjecture,
    ( epred2_0
    | epred19_0
    | hskp25
    | ~ c0_1(a1206)
    | ~ c2_1(a1206)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[c_0_40,c_0_748]) ).

cnf(c_0_805,negated_conjecture,
    ( epred44_0
    | hskp19
    | c1_1(a1205)
    | hskp11
    | ~ c2_1(a1205)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_298,c_0_231]) ).

cnf(c_0_806,negated_conjecture,
    ( epred37_0
    | hskp5
    | c1_1(a1205)
    | c0_1(a1205)
    | hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[c_0_747,c_0_231]) ).

cnf(c_0_807,negated_conjecture,
    ( epred43_0
    | epred52_0
    | c0_1(a1211)
    | c2_1(a1211)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_749,c_0_634]) ).

cnf(c_0_808,negated_conjecture,
    ( epred27_0
    | epred2_0
    | ~ c0_1(a1204)
    | ~ c2_1(a1204)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_750,c_0_99]) ).

cnf(c_0_809,negated_conjecture,
    ( epred54_0
    | ~ epred52_0
    | ~ epred48_0 ),
    inference(spm,[status(thm)],[c_0_751,c_0_752]) ).

cnf(c_0_810,negated_conjecture,
    ( epred47_0
    | epred31_0
    | ~ epred57_0
    | ~ epred56_0 ),
    inference(spm,[status(thm)],[c_0_698,c_0_753]) ).

cnf(c_0_811,negated_conjecture,
    ( ~ epred57_0
    | ~ epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_754,c_0_755]),c_0_653]) ).

cnf(c_0_812,negated_conjecture,
    ( epred50_0
    | ~ epred44_0 ),
    inference(spm,[status(thm)],[c_0_653,c_0_756]) ).

cnf(c_0_813,negated_conjecture,
    ( epred56_0
    | ~ epred45_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_757]),c_0_758]),c_0_759]) ).

cnf(c_0_814,negated_conjecture,
    ( epred56_0
    | ~ epred55_0
    | ~ epred54_0
    | ~ epred31_0 ),
    inference(spm,[status(thm)],[c_0_306,c_0_760]) ).

cnf(c_0_815,negated_conjecture,
    ( ~ epred50_0
    | ~ epred44_0
    | ~ epred38_0 ),
    inference(spm,[status(thm)],[c_0_548,c_0_761]) ).

cnf(c_0_816,negated_conjecture,
    ( epred51_0
    | ~ epred44_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_762]),c_0_763]) ).

cnf(c_0_817,negated_conjecture,
    ( epred54_0
    | epred44_0
    | epred38_0
    | ~ epred19_0 ),
    inference(spm,[status(thm)],[c_0_560,c_0_764]) ).

cnf(c_0_818,negated_conjecture,
    ( hskp23
    | hskp0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_41]),c_0_42]),c_0_43]) ).

cnf(c_0_819,negated_conjecture,
    ( epred54_0
    | epred42_0
    | epred31_0 ),
    inference(spm,[status(thm)],[c_0_493,c_0_293]) ).

cnf(c_0_820,negated_conjecture,
    ( epred52_0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_634]),c_0_277]),c_0_276]) ).

cnf(c_0_821,negated_conjecture,
    ( epred48_0
    | hskp1
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_670,c_0_59]),c_0_217]),c_0_60]) ).

cnf(c_0_822,negated_conjecture,
    ( epred48_0
    | epred21_0
    | hskp1
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_765,c_0_414]) ).

cnf(c_0_823,negated_conjecture,
    ( epred47_0
    | epred31_0
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_766,c_0_295]),c_0_767]) ).

cnf(c_0_824,negated_conjecture,
    ( epred47_0
    | epred2_0
    | hskp10
    | ~ hskp19 ),
    inference(spm,[status(thm)],[c_0_768,c_0_769]) ).

cnf(c_0_825,negated_conjecture,
    ( epred42_0
    | epred38_0
    | epred31_0
    | ~ epred2_0 ),
    inference(spm,[status(thm)],[c_0_72,c_0_770]) ).

cnf(c_0_826,negated_conjecture,
    ( epred35_0
    | epred26_0
    | hskp1
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_771,c_0_772]) ).

cnf(c_0_827,negated_conjecture,
    ( epred28_0
    | epred2_0
    | hskp10
    | ~ hskp6 ),
    inference(spm,[status(thm)],[c_0_375,c_0_736]) ).

cnf(c_0_828,negated_conjecture,
    ( epred43_0
    | epred26_0
    | hskp11
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_773,c_0_772]) ).

cnf(c_0_829,negated_conjecture,
    ( epred55_0
    | ~ epred48_0 ),
    inference(spm,[status(thm)],[c_0_751,c_0_774]) ).

cnf(c_0_830,negated_conjecture,
    ( epred57_0
    | epred26_0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_775,c_0_772]) ).

cnf(c_0_831,negated_conjecture,
    ( epred57_0
    | epred38_0
    | epred21_0
    | hskp2 ),
    inference(spm,[status(thm)],[c_0_524,c_0_776]) ).

cnf(c_0_832,negated_conjecture,
    ( epred43_0
    | epred3_0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[c_0_749,c_0_777]) ).

cnf(c_0_833,negated_conjecture,
    ( epred29_0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_625]),c_0_94]),c_0_93]) ).

cnf(c_0_834,negated_conjecture,
    ( epred18_0
    | epred2_0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_261,c_0_778]) ).

cnf(c_0_835,negated_conjecture,
    ( epred41_0
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_779,c_0_780]),c_0_781]) ).

cnf(c_0_836,negated_conjecture,
    ( epred18_0
    | epred1_0
    | hskp6
    | hskp5 ),
    inference(spm,[status(thm)],[c_0_782,c_0_177]) ).

cnf(c_0_837,negated_conjecture,
    ( ~ epred51_0
    | ~ epred50_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_783,c_0_186]),c_0_368]),c_0_463]) ).

cnf(c_0_838,negated_conjecture,
    ( ~ epred41_0
    | ~ epred40_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_784,c_0_594]),c_0_45]) ).

cnf(c_0_839,negated_conjecture,
    ( ~ epred38_0
    | ~ epred37_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_785,c_0_690]),c_0_10]) ).

cnf(c_0_840,negated_conjecture,
    ( ~ epred29_0
    | ~ epred28_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_786,c_0_529]),c_0_587]) ).

cnf(c_0_841,negated_conjecture,
    ( ~ epred27_0
    | ~ epred26_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_787,c_0_673]),c_0_429]) ).

cnf(c_0_842,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_788,c_0_789,c_0_790,c_0_791,c_0_792,c_0_793,c_0_794,c_0_795,c_0_796,c_0_797,c_0_798,c_0_799,c_0_800,c_0_801,c_0_802,c_0_803,c_0_804,c_0_805,c_0_806,c_0_807,c_0_808,c_0_809,c_0_752,c_0_810,c_0_811,c_0_753,c_0_812,c_0_653,c_0_813,c_0_814,c_0_815,c_0_437,c_0_816,c_0_817,c_0_818,c_0_245,c_0_819,c_0_586,c_0_305,c_0_820,c_0_821,c_0_822,c_0_823,c_0_631,c_0_824,c_0_825,c_0_826,c_0_827,c_0_591,c_0_828,c_0_829,c_0_774,c_0_830,c_0_831,c_0_31,c_0_447,c_0_427,c_0_349,c_0_274,c_0_588,c_0_832,c_0_135,c_0_116,c_0_55,c_0_30,c_0_251,c_0_833,c_0_679,c_0_176,c_0_834,c_0_117,c_0_54,c_0_835,c_0_836,c_0_127,c_0_730,c_0_698,c_0_306,c_0_837,c_0_751,c_0_145,c_0_308,c_0_152,c_0_838,c_0_249,c_0_839,c_0_247,c_0_840,c_0_841,c_0_704,c_0_560,c_0_72,c_0_507,c_0_506,c_0_105,c_0_106,c_0_95,c_0_189,c_0_190,c_0_99,c_0_101,c_0_93,c_0_100,c_0_94,c_0_192,c_0_104,c_0_4]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN477+1 : TPTP v9.2.1. Released v2.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33  % Computer : n006.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue May  5 08:35:16 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 13.37/8.16  % Version  : CSE_E---1.7
% 13.37/8.16  % Problem  : theBenchmark.p
% 13.37/8.16  % SZS status Theorem for theBenchmark.p
% 13.37/8.16  % SZS output start CNFRefutation
% See solution above
% 13.44/8.20  % Total time : 6.382s
%------------------------------------------------------------------------------