%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN465+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:09:47 PM UTC 2026
% Result : Theorem 0.37s 0.28s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 133
% Syntax : Number of formulae : 1081 ( 22 unt; 132 def)
% Number of atoms : 7050 ( 0 equ)
% Maximal formula atoms : 668 ( 6 avg)
% Number of connectives : 9332 (3363 ~;4556 |; 975 &)
% ( 132 <=>; 306 =>; 0 <=; 0 <~>)
% Maximal formula depth : 106 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 170 ( 169 usr; 166 prp; 0-1 aty)
% Number of functors : 32 ( 32 usr; 32 con; 0-0 aty)
% Number of variables : 723 ( 0 sgn 723 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& c0_1(a1)
& ~ c1_1(a1)
& ~ c2_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a4)
& c2_1(a4)
& ~ c1_1(a4) ) )
& ( ~ hskp2
| ( ndr1_0
& c2_1(a5)
& ~ c0_1(a5)
& ~ c1_1(a5) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a6)
& c3_1(a6)
& ~ c2_1(a6) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a7)
& c3_1(a7)
& ~ c0_1(a7) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c0_1(a9)
& ~ c1_1(a9)
& ~ c2_1(a9) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a10)
& ~ c1_1(a10)
& ~ c3_1(a10) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a12)
& c1_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a13)
& c2_1(a13)
& ~ c0_1(a13) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c1_1(a15)
& ~ c2_1(a15)
& ~ c3_1(a15) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a17)
& ~ c0_1(a17)
& ~ c2_1(a17) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a21)
& ~ c2_1(a21)
& ~ c3_1(a21) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a24)
& c3_1(a24)
& ~ c2_1(a24) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a26)
& ~ c0_1(a26)
& ~ c1_1(a26) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a28)
& c3_1(a28)
& ~ c0_1(a28) ) )
& ( ~ hskp15
| ( ndr1_0
& c1_1(a29)
& ~ c2_1(a29)
& ~ c3_1(a29) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a30)
& c3_1(a30)
& ~ c1_1(a30) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a32)
& c2_1(a32)
& ~ c3_1(a32) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a33)
& c2_1(a33)
& ~ c3_1(a33) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a35)
& ~ c0_1(a35)
& ~ c3_1(a35) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a36)
& c1_1(a36)
& ~ c2_1(a36) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a39)
& ~ c0_1(a39)
& ~ c3_1(a39) ) )
& ( ~ hskp22
| ( ndr1_0
& ~ c0_1(a40)
& ~ c2_1(a40)
& ~ c3_1(a40) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a42)
& ~ c1_1(a42)
& ~ c3_1(a42) ) )
& ( ~ hskp24
| ( ndr1_0
& c3_1(a52)
& ~ c0_1(a52)
& ~ c2_1(a52) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a54)
& c3_1(a54)
& ~ c1_1(a54) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ c0_1(a57)
& ~ c1_1(a57)
& ~ c3_1(a57) ) )
& ( ~ hskp27
| ( ndr1_0
& c3_1(a65)
& ~ c1_1(a65)
& ~ c2_1(a65) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a2)
& c1_1(a2)
& c2_1(a2) ) )
& ( ~ hskp29
| ( ndr1_0
& c1_1(a8)
& c2_1(a8)
& c3_1(a8) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a20)
& c2_1(a20)
& c3_1(a20) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a76)
& c1_1(a76)
& c3_1(a76) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( c1_1(X4)
| ~ c0_1(X4)
| ~ c2_1(X4) ) )
| hskp0 )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c2_1(X5) ) )
| hskp28
| hskp0 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c3_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c2_1(X7)
| ~ c3_1(X7) ) )
| hskp1 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c3_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c2_1(X9)
| c3_1(X9)
| ~ c1_1(X9) ) )
| hskp2 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| ~ c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c2_1(X11)
| ~ c1_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c3_1(X12)
| ~ c2_1(X12) ) ) )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c2_1(X14)
| ~ c0_1(X14)
| ~ c1_1(X14) ) )
| hskp3 )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c2_1(X15)
| c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c2_1(X16)
| ~ c3_1(X16) ) )
| hskp4 )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c2_1(X17)
| c3_1(X17) ) )
| hskp29
| hskp5 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c2_1(X18)
| ~ c1_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19) ) )
| hskp6 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c2_1(X20)
| ~ c1_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c3_1(X21)
| ~ c0_1(X21)
| ~ c1_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c0_1(X22)
| ~ c1_1(X22)
| ~ c3_1(X22) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c2_1(X23)
| ~ c1_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c0_1(X24)
| ~ c2_1(X24)
| ~ c3_1(X24) ) )
| hskp28 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| ~ c1_1(X25) ) )
| hskp7
| hskp8 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26) ) )
| hskp0
| hskp9 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| ~ c1_1(X28)
| ~ c2_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| ~ c2_1(X29)
| ~ c3_1(X29) ) ) )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31) ) )
| hskp7 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c2_1(X32)
| ~ c3_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c1_1(X33)
| c3_1(X33)
| ~ c0_1(X33) ) )
| hskp10 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c2_1(X34)
| ~ c3_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c3_1(X35)
| ~ c0_1(X35)
| ~ c1_1(X35) ) )
| hskp5 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c3_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c0_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37) ) )
| hskp5 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c2_1(X38)
| ~ c3_1(X38) ) )
| hskp30
| hskp11 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c3_1(X39)
| ~ c1_1(X39) ) )
| hskp30
| hskp8 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| c3_1(X40)
| ~ c1_1(X40) ) )
| hskp12 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c3_1(X41)
| ~ c2_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c1_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42) ) )
| hskp8 )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| c3_1(X43)
| ~ c2_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c2_1(X44)
| c3_1(X44)
| ~ c0_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( c3_1(X45)
| ~ c0_1(X45)
| ~ c1_1(X45) ) ) )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| c3_1(X46)
| ~ c2_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c2_1(X47)
| c3_1(X47)
| ~ c1_1(X47) ) )
| hskp13 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| c3_1(X48)
| ~ c2_1(X48) ) )
| hskp3
| hskp14 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49) ) )
| hskp15
| hskp16 )
& ( ! [X50] :
( ndr1_0
=> ( c0_1(X50)
| ~ c1_1(X50)
| ~ c2_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| ~ c1_1(X51)
| ~ c3_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c3_1(X52)
| ~ c0_1(X52) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| ~ c1_1(X53)
| ~ c2_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c3_1(X54)
| ~ c0_1(X54)
| ~ c1_1(X54) ) )
| hskp30 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55) ) )
| hskp17
| hskp18 )
& ( ! [X56] :
( ndr1_0
=> ( c0_1(X56)
| ~ c1_1(X56)
| ~ c3_1(X56) ) )
| hskp11
| hskp19 )
& ( ! [X57] :
( ndr1_0
=> ( c0_1(X57)
| ~ c2_1(X57)
| ~ c3_1(X57) ) )
| hskp20
| hskp4 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c2_1(X58)
| c3_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( ~ c0_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60) ) ) )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| c2_1(X61)
| c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62) ) )
| hskp8 )
& ( ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| c2_1(X63)
| c3_1(X63) ) )
| ! [X64] :
( ndr1_0
=> ( c3_1(X64)
| ~ c0_1(X64)
| ~ c1_1(X64) ) )
| hskp21 )
& ( ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| c2_1(X65)
| ~ c0_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c0_1(X66)
| ~ c1_1(X66)
| ~ c3_1(X66) ) )
| hskp22 )
& ( ! [X67] :
( ndr1_0
=> ( c1_1(X67)
| c2_1(X67)
| ~ c0_1(X67) ) )
| hskp30
| hskp23 )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| c2_1(X68)
| ~ c3_1(X68) ) )
| hskp17
| hskp6 )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| c3_1(X69)
| ~ c0_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c0_1(X70)
| ~ c3_1(X70) ) )
| hskp2 )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| c3_1(X71)
| ~ c2_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( c2_1(X72)
| c3_1(X72)
| ~ c1_1(X72) ) )
| hskp9 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| c3_1(X73)
| ~ c2_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c1_1(X74)
| ~ c2_1(X74)
| ~ c3_1(X74) ) )
| hskp3 )
& ( ! [X75] :
( ndr1_0
=> ( c1_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c0_1(X76)
| ~ c1_1(X76)
| ~ c3_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c0_1(X77)
| ~ c2_1(X77)
| ~ c3_1(X77) ) ) )
& ( ! [X78] :
( ndr1_0
=> ( c1_1(X78)
| ~ c0_1(X78)
| ~ c3_1(X78) ) )
| hskp8
| hskp21 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| ~ c2_1(X79)
| ~ c3_1(X79) ) )
| ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80) ) )
| hskp15 )
& ( ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| c3_1(X81)
| ~ c0_1(X81) ) )
| hskp3
| hskp24 )
& ( ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| c3_1(X82)
| ~ c1_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83) ) )
| hskp12 )
& ( ! [X84] :
( ndr1_0
=> ( c2_1(X84)
| c3_1(X84)
| ~ c1_1(X84) ) )
| hskp25
| hskp3 )
& ( ! [X85] :
( ndr1_0
=> ( c2_1(X85)
| ~ c0_1(X85)
| ~ c1_1(X85) ) )
| hskp28
| hskp26 )
& ( ! [X86] :
( ndr1_0
=> ( c2_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86) ) )
| ! [X87] :
( ndr1_0
=> ( c3_1(X87)
| ~ c1_1(X87)
| ~ c2_1(X87) ) )
| hskp17 )
& ( ! [X88] :
( ndr1_0
=> ( c2_1(X88)
| ~ c1_1(X88)
| ~ c3_1(X88) ) )
| hskp28
| hskp7 )
& ( ! [X89] :
( ndr1_0
=> ( c2_1(X89)
| ~ c1_1(X89)
| ~ c3_1(X89) ) )
| hskp16 )
& ( ! [X90] :
( ndr1_0
=> ( ~ c0_1(X90)
| ~ c1_1(X90)
| ~ c2_1(X90) ) )
| hskp28
| hskp9 )
& ( ! [X91] :
( ndr1_0
=> ( ~ c0_1(X91)
| ~ c1_1(X91)
| ~ c2_1(X91) ) )
| hskp18
| hskp27 )
& ( ! [X92] :
( ndr1_0
=> ( ~ c0_1(X92)
| ~ c1_1(X92)
| ~ c3_1(X92) ) )
| ! [X93] :
( ndr1_0
=> ( ~ c0_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93) ) )
| hskp21 )
& ( ! [X94] :
( ndr1_0
=> ( ~ c0_1(X94)
| ~ c1_1(X94)
| ~ c3_1(X94) ) )
| hskp0
| hskp2 )
& ( ! [X95] :
( ndr1_0
=> ( ~ c0_1(X95)
| ~ c1_1(X95)
| ~ c3_1(X95) ) )
| hskp29
| hskp19 )
& ( ! [X96] :
( ndr1_0
=> ( ~ c0_1(X96)
| ~ c1_1(X96)
| ~ c3_1(X96) ) )
| hskp12
| hskp26 )
& ( ! [X97] :
( ndr1_0
=> ( ~ c0_1(X97)
| ~ c1_1(X97)
| ~ c3_1(X97) ) )
| hskp14
| hskp24 )
& ( ! [X98] :
( ndr1_0
=> ( ~ c0_1(X98)
| ~ c2_1(X98)
| ~ c3_1(X98) ) )
| hskp28
| hskp31 )
& ( ! [X99] :
( ndr1_0
=> ( ~ c0_1(X99)
| ~ c2_1(X99)
| ~ c3_1(X99) ) )
| hskp15
| hskp13 )
& ( ! [X100] :
( ndr1_0
=> ( ~ c1_1(X100)
| ~ c2_1(X100)
| ~ c3_1(X100) ) )
| hskp25
| hskp9 )
& ( ! [X101] :
( ndr1_0
=> ( ~ c1_1(X101)
| ~ c2_1(X101)
| ~ c3_1(X101) ) )
| hskp12
| hskp2 )
& ( hskp31
| hskp12
| hskp24 )
& ( hskp7
| hskp30
| hskp26 )
& ( hskp3
| hskp2
| hskp13 )
& ( hskp3
| hskp27
| hskp26 )
& ( hskp12
| hskp6
| hskp27 )
& ( hskp21
| hskp24
| hskp5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f2,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& c0_1(a1)
& ~ c1_1(a1)
& ~ c2_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a4)
& c2_1(a4)
& ~ c1_1(a4) ) )
& ( ~ hskp2
| ( ndr1_0
& c2_1(a5)
& ~ c0_1(a5)
& ~ c1_1(a5) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a6)
& c3_1(a6)
& ~ c2_1(a6) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a7)
& c3_1(a7)
& ~ c0_1(a7) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c0_1(a9)
& ~ c1_1(a9)
& ~ c2_1(a9) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a10)
& ~ c1_1(a10)
& ~ c3_1(a10) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a12)
& c1_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a13)
& c2_1(a13)
& ~ c0_1(a13) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c1_1(a15)
& ~ c2_1(a15)
& ~ c3_1(a15) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a17)
& ~ c0_1(a17)
& ~ c2_1(a17) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a21)
& ~ c2_1(a21)
& ~ c3_1(a21) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a24)
& c3_1(a24)
& ~ c2_1(a24) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a26)
& ~ c0_1(a26)
& ~ c1_1(a26) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a28)
& c3_1(a28)
& ~ c0_1(a28) ) )
& ( ~ hskp15
| ( ndr1_0
& c1_1(a29)
& ~ c2_1(a29)
& ~ c3_1(a29) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a30)
& c3_1(a30)
& ~ c1_1(a30) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a32)
& c2_1(a32)
& ~ c3_1(a32) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a33)
& c2_1(a33)
& ~ c3_1(a33) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a35)
& ~ c0_1(a35)
& ~ c3_1(a35) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a36)
& c1_1(a36)
& ~ c2_1(a36) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a39)
& ~ c0_1(a39)
& ~ c3_1(a39) ) )
& ( ~ hskp22
| ( ndr1_0
& ~ c0_1(a40)
& ~ c2_1(a40)
& ~ c3_1(a40) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a42)
& ~ c1_1(a42)
& ~ c3_1(a42) ) )
& ( ~ hskp24
| ( ndr1_0
& c3_1(a52)
& ~ c0_1(a52)
& ~ c2_1(a52) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a54)
& c3_1(a54)
& ~ c1_1(a54) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ c0_1(a57)
& ~ c1_1(a57)
& ~ c3_1(a57) ) )
& ( ~ hskp27
| ( ndr1_0
& c3_1(a65)
& ~ c1_1(a65)
& ~ c2_1(a65) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a2)
& c1_1(a2)
& c2_1(a2) ) )
& ( ~ hskp29
| ( ndr1_0
& c1_1(a8)
& c2_1(a8)
& c3_1(a8) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a20)
& c2_1(a20)
& c3_1(a20) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a76)
& c1_1(a76)
& c3_1(a76) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( c1_1(X4)
| ~ c0_1(X4)
| ~ c2_1(X4) ) )
| hskp0 )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c2_1(X5) ) )
| hskp28
| hskp0 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c3_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c2_1(X7)
| ~ c3_1(X7) ) )
| hskp1 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c3_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c2_1(X9)
| c3_1(X9)
| ~ c1_1(X9) ) )
| hskp2 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| ~ c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c2_1(X11)
| ~ c1_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c3_1(X12)
| ~ c2_1(X12) ) ) )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c2_1(X14)
| ~ c0_1(X14)
| ~ c1_1(X14) ) )
| hskp3 )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c2_1(X15)
| c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c2_1(X16)
| ~ c3_1(X16) ) )
| hskp4 )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c2_1(X17)
| c3_1(X17) ) )
| hskp29
| hskp5 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c2_1(X18)
| ~ c1_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19) ) )
| hskp6 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c2_1(X20)
| ~ c1_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c3_1(X21)
| ~ c0_1(X21)
| ~ c1_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c0_1(X22)
| ~ c1_1(X22)
| ~ c3_1(X22) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c2_1(X23)
| ~ c1_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c0_1(X24)
| ~ c2_1(X24)
| ~ c3_1(X24) ) )
| hskp28 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| ~ c1_1(X25) ) )
| hskp7
| hskp8 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26) ) )
| hskp0
| hskp9 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| ~ c1_1(X28)
| ~ c2_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| ~ c2_1(X29)
| ~ c3_1(X29) ) ) )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31) ) )
| hskp7 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c2_1(X32)
| ~ c3_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c1_1(X33)
| c3_1(X33)
| ~ c0_1(X33) ) )
| hskp10 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c2_1(X34)
| ~ c3_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c3_1(X35)
| ~ c0_1(X35)
| ~ c1_1(X35) ) )
| hskp5 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c3_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c0_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37) ) )
| hskp5 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c2_1(X38)
| ~ c3_1(X38) ) )
| hskp30
| hskp11 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c3_1(X39)
| ~ c1_1(X39) ) )
| hskp30
| hskp8 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| c3_1(X40)
| ~ c1_1(X40) ) )
| hskp12 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c3_1(X41)
| ~ c2_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c1_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42) ) )
| hskp8 )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| c3_1(X43)
| ~ c2_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c2_1(X44)
| c3_1(X44)
| ~ c0_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( c3_1(X45)
| ~ c0_1(X45)
| ~ c1_1(X45) ) ) )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| c3_1(X46)
| ~ c2_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c2_1(X47)
| c3_1(X47)
| ~ c1_1(X47) ) )
| hskp13 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| c3_1(X48)
| ~ c2_1(X48) ) )
| hskp3
| hskp14 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49) ) )
| hskp15
| hskp16 )
& ( ! [X50] :
( ndr1_0
=> ( c0_1(X50)
| ~ c1_1(X50)
| ~ c2_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| ~ c1_1(X51)
| ~ c3_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c3_1(X52)
| ~ c0_1(X52) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| ~ c1_1(X53)
| ~ c2_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c3_1(X54)
| ~ c0_1(X54)
| ~ c1_1(X54) ) )
| hskp30 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55) ) )
| hskp17
| hskp18 )
& ( ! [X56] :
( ndr1_0
=> ( c0_1(X56)
| ~ c1_1(X56)
| ~ c3_1(X56) ) )
| hskp11
| hskp19 )
& ( ! [X57] :
( ndr1_0
=> ( c0_1(X57)
| ~ c2_1(X57)
| ~ c3_1(X57) ) )
| hskp20
| hskp4 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c2_1(X58)
| c3_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( ~ c0_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60) ) ) )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| c2_1(X61)
| c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62) ) )
| hskp8 )
& ( ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| c2_1(X63)
| c3_1(X63) ) )
| ! [X64] :
( ndr1_0
=> ( c3_1(X64)
| ~ c0_1(X64)
| ~ c1_1(X64) ) )
| hskp21 )
& ( ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| c2_1(X65)
| ~ c0_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c0_1(X66)
| ~ c1_1(X66)
| ~ c3_1(X66) ) )
| hskp22 )
& ( ! [X67] :
( ndr1_0
=> ( c1_1(X67)
| c2_1(X67)
| ~ c0_1(X67) ) )
| hskp30
| hskp23 )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| c2_1(X68)
| ~ c3_1(X68) ) )
| hskp17
| hskp6 )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| c3_1(X69)
| ~ c0_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c0_1(X70)
| ~ c3_1(X70) ) )
| hskp2 )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| c3_1(X71)
| ~ c2_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( c2_1(X72)
| c3_1(X72)
| ~ c1_1(X72) ) )
| hskp9 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| c3_1(X73)
| ~ c2_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c1_1(X74)
| ~ c2_1(X74)
| ~ c3_1(X74) ) )
| hskp3 )
& ( ! [X75] :
( ndr1_0
=> ( c1_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c0_1(X76)
| ~ c1_1(X76)
| ~ c3_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c0_1(X77)
| ~ c2_1(X77)
| ~ c3_1(X77) ) ) )
& ( ! [X78] :
( ndr1_0
=> ( c1_1(X78)
| ~ c0_1(X78)
| ~ c3_1(X78) ) )
| hskp8
| hskp21 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| ~ c2_1(X79)
| ~ c3_1(X79) ) )
| ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80) ) )
| hskp15 )
& ( ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| c3_1(X81)
| ~ c0_1(X81) ) )
| hskp3
| hskp24 )
& ( ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| c3_1(X82)
| ~ c1_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83) ) )
| hskp12 )
& ( ! [X84] :
( ndr1_0
=> ( c2_1(X84)
| c3_1(X84)
| ~ c1_1(X84) ) )
| hskp25
| hskp3 )
& ( ! [X85] :
( ndr1_0
=> ( c2_1(X85)
| ~ c0_1(X85)
| ~ c1_1(X85) ) )
| hskp28
| hskp26 )
& ( ! [X86] :
( ndr1_0
=> ( c2_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86) ) )
| ! [X87] :
( ndr1_0
=> ( c3_1(X87)
| ~ c1_1(X87)
| ~ c2_1(X87) ) )
| hskp17 )
& ( ! [X88] :
( ndr1_0
=> ( c2_1(X88)
| ~ c1_1(X88)
| ~ c3_1(X88) ) )
| hskp28
| hskp7 )
& ( ! [X89] :
( ndr1_0
=> ( c2_1(X89)
| ~ c1_1(X89)
| ~ c3_1(X89) ) )
| hskp16 )
& ( ! [X90] :
( ndr1_0
=> ( ~ c0_1(X90)
| ~ c1_1(X90)
| ~ c2_1(X90) ) )
| hskp28
| hskp9 )
& ( ! [X91] :
( ndr1_0
=> ( ~ c0_1(X91)
| ~ c1_1(X91)
| ~ c2_1(X91) ) )
| hskp18
| hskp27 )
& ( ! [X92] :
( ndr1_0
=> ( ~ c0_1(X92)
| ~ c1_1(X92)
| ~ c3_1(X92) ) )
| ! [X93] :
( ndr1_0
=> ( ~ c0_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93) ) )
| hskp21 )
& ( ! [X94] :
( ndr1_0
=> ( ~ c0_1(X94)
| ~ c1_1(X94)
| ~ c3_1(X94) ) )
| hskp0
| hskp2 )
& ( ! [X95] :
( ndr1_0
=> ( ~ c0_1(X95)
| ~ c1_1(X95)
| ~ c3_1(X95) ) )
| hskp29
| hskp19 )
& ( ! [X96] :
( ndr1_0
=> ( ~ c0_1(X96)
| ~ c1_1(X96)
| ~ c3_1(X96) ) )
| hskp12
| hskp26 )
& ( ! [X97] :
( ndr1_0
=> ( ~ c0_1(X97)
| ~ c1_1(X97)
| ~ c3_1(X97) ) )
| hskp14
| hskp24 )
& ( ! [X98] :
( ndr1_0
=> ( ~ c0_1(X98)
| ~ c2_1(X98)
| ~ c3_1(X98) ) )
| hskp28
| hskp31 )
& ( ! [X99] :
( ndr1_0
=> ( ~ c0_1(X99)
| ~ c2_1(X99)
| ~ c3_1(X99) ) )
| hskp15
| hskp13 )
& ( ! [X100] :
( ndr1_0
=> ( ~ c1_1(X100)
| ~ c2_1(X100)
| ~ c3_1(X100) ) )
| hskp25
| hskp9 )
& ( ! [X101] :
( ndr1_0
=> ( ~ c1_1(X101)
| ~ c2_1(X101)
| ~ c3_1(X101) ) )
| hskp12
| hskp2 )
& ( hskp31
| hskp12
| hskp24 )
& ( hskp7
| hskp30
| hskp26 )
& ( hskp3
| hskp2
| hskp13 )
& ( hskp3
| hskp27
| hskp26 )
& ( hskp12
| hskp6
| hskp27 )
& ( hskp21
| hskp24
| hskp5 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ~ hskp0
| ( ndr1_0
& c0_1(a1)
& ~ c1_1(a1)
& ~ c2_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a4)
& c2_1(a4)
& ~ c1_1(a4) ) )
& ( ~ hskp2
| ( ndr1_0
& c2_1(a5)
& ~ c0_1(a5)
& ~ c1_1(a5) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a6)
& c3_1(a6)
& ~ c2_1(a6) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a7)
& c3_1(a7)
& ~ c0_1(a7) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c0_1(a9)
& ~ c1_1(a9)
& ~ c2_1(a9) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a10)
& ~ c1_1(a10)
& ~ c3_1(a10) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a12)
& c1_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a13)
& c2_1(a13)
& ~ c0_1(a13) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c1_1(a15)
& ~ c2_1(a15)
& ~ c3_1(a15) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a17)
& ~ c0_1(a17)
& ~ c2_1(a17) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a21)
& ~ c2_1(a21)
& ~ c3_1(a21) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a24)
& c3_1(a24)
& ~ c2_1(a24) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a26)
& ~ c0_1(a26)
& ~ c1_1(a26) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a28)
& c3_1(a28)
& ~ c0_1(a28) ) )
& ( ~ hskp15
| ( ndr1_0
& c1_1(a29)
& ~ c2_1(a29)
& ~ c3_1(a29) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a30)
& c3_1(a30)
& ~ c1_1(a30) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a32)
& c2_1(a32)
& ~ c3_1(a32) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a33)
& c2_1(a33)
& ~ c3_1(a33) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a35)
& ~ c0_1(a35)
& ~ c3_1(a35) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a36)
& c1_1(a36)
& ~ c2_1(a36) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a39)
& ~ c0_1(a39)
& ~ c3_1(a39) ) )
& ( ~ hskp22
| ( ndr1_0
& ~ c0_1(a40)
& ~ c2_1(a40)
& ~ c3_1(a40) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a42)
& ~ c1_1(a42)
& ~ c3_1(a42) ) )
& ( ~ hskp24
| ( ndr1_0
& c3_1(a52)
& ~ c0_1(a52)
& ~ c2_1(a52) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a54)
& c3_1(a54)
& ~ c1_1(a54) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ c0_1(a57)
& ~ c1_1(a57)
& ~ c3_1(a57) ) )
& ( ~ hskp27
| ( ndr1_0
& c3_1(a65)
& ~ c1_1(a65)
& ~ c2_1(a65) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a2)
& c1_1(a2)
& c2_1(a2) ) )
& ( ~ hskp29
| ( ndr1_0
& c1_1(a8)
& c2_1(a8)
& c3_1(a8) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a20)
& c2_1(a20)
& c3_1(a20) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a76)
& c1_1(a76)
& c3_1(a76) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( c1_1(X4)
| ~ c0_1(X4)
| ~ c2_1(X4) ) )
| hskp0 )
& ( ! [X5] :
( ndr1_0
=> ( c0_1(X5)
| c1_1(X5)
| c2_1(X5) ) )
| hskp28
| hskp0 )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c3_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| c2_1(X7)
| ~ c3_1(X7) ) )
| hskp1 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c3_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c2_1(X9)
| c3_1(X9)
| ~ c1_1(X9) ) )
| hskp2 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| ~ c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c0_1(X11)
| c2_1(X11)
| ~ c1_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c0_1(X12)
| c3_1(X12)
| ~ c2_1(X12) ) ) )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13) ) )
| ! [X14] :
( ndr1_0
=> ( c2_1(X14)
| ~ c0_1(X14)
| ~ c1_1(X14) ) )
| hskp3 )
& ( ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c2_1(X15)
| c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c0_1(X16)
| c2_1(X16)
| ~ c3_1(X16) ) )
| hskp4 )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c2_1(X17)
| c3_1(X17) ) )
| hskp29
| hskp5 )
& ( ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| c2_1(X18)
| ~ c1_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19) ) )
| hskp6 )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c2_1(X20)
| ~ c1_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( c3_1(X21)
| ~ c0_1(X21)
| ~ c1_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c0_1(X22)
| ~ c1_1(X22)
| ~ c3_1(X22) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c2_1(X23)
| ~ c1_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c0_1(X24)
| ~ c2_1(X24)
| ~ c3_1(X24) ) )
| hskp28 )
& ( ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| c2_1(X25)
| ~ c1_1(X25) ) )
| hskp7
| hskp8 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26) ) )
| hskp0
| hskp9 )
& ( ! [X27] :
( ndr1_0
=> ( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| ~ c1_1(X28)
| ~ c2_1(X28) ) )
| ! [X29] :
( ndr1_0
=> ( ~ c1_1(X29)
| ~ c2_1(X29)
| ~ c3_1(X29) ) ) )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31) ) )
| hskp7 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c2_1(X32)
| ~ c3_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( c1_1(X33)
| c3_1(X33)
| ~ c0_1(X33) ) )
| hskp10 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| c2_1(X34)
| ~ c3_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c3_1(X35)
| ~ c0_1(X35)
| ~ c1_1(X35) ) )
| hskp5 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c2_1(X36)
| ~ c3_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( ~ c0_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37) ) )
| hskp5 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| c2_1(X38)
| ~ c3_1(X38) ) )
| hskp30
| hskp11 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| c3_1(X39)
| ~ c1_1(X39) ) )
| hskp30
| hskp8 )
& ( ! [X40] :
( ndr1_0
=> ( c0_1(X40)
| c3_1(X40)
| ~ c1_1(X40) ) )
| hskp12 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| c3_1(X41)
| ~ c2_1(X41) ) )
| ! [X42] :
( ndr1_0
=> ( c1_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42) ) )
| hskp8 )
& ( ! [X43] :
( ndr1_0
=> ( c0_1(X43)
| c3_1(X43)
| ~ c2_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c2_1(X44)
| c3_1(X44)
| ~ c0_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( c3_1(X45)
| ~ c0_1(X45)
| ~ c1_1(X45) ) ) )
& ( ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| c3_1(X46)
| ~ c2_1(X46) ) )
| ! [X47] :
( ndr1_0
=> ( c2_1(X47)
| c3_1(X47)
| ~ c1_1(X47) ) )
| hskp13 )
& ( ! [X48] :
( ndr1_0
=> ( c0_1(X48)
| c3_1(X48)
| ~ c2_1(X48) ) )
| hskp3
| hskp14 )
& ( ! [X49] :
( ndr1_0
=> ( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49) ) )
| hskp15
| hskp16 )
& ( ! [X50] :
( ndr1_0
=> ( c0_1(X50)
| ~ c1_1(X50)
| ~ c2_1(X50) ) )
| ! [X51] :
( ndr1_0
=> ( c0_1(X51)
| ~ c1_1(X51)
| ~ c3_1(X51) ) )
| ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c3_1(X52)
| ~ c0_1(X52) ) ) )
& ( ! [X53] :
( ndr1_0
=> ( c0_1(X53)
| ~ c1_1(X53)
| ~ c2_1(X53) ) )
| ! [X54] :
( ndr1_0
=> ( c3_1(X54)
| ~ c0_1(X54)
| ~ c1_1(X54) ) )
| hskp30 )
& ( ! [X55] :
( ndr1_0
=> ( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55) ) )
| hskp17
| hskp18 )
& ( ! [X56] :
( ndr1_0
=> ( c0_1(X56)
| ~ c1_1(X56)
| ~ c3_1(X56) ) )
| hskp11
| hskp19 )
& ( ! [X57] :
( ndr1_0
=> ( c0_1(X57)
| ~ c2_1(X57)
| ~ c3_1(X57) ) )
| hskp20
| hskp4 )
& ( ! [X58] :
( ndr1_0
=> ( c1_1(X58)
| c2_1(X58)
| c3_1(X58) ) )
| ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( ~ c0_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60) ) ) )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| c2_1(X61)
| c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( c1_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62) ) )
| hskp8 )
& ( ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| c2_1(X63)
| c3_1(X63) ) )
| ! [X64] :
( ndr1_0
=> ( c3_1(X64)
| ~ c0_1(X64)
| ~ c1_1(X64) ) )
| hskp21 )
& ( ! [X65] :
( ndr1_0
=> ( c1_1(X65)
| c2_1(X65)
| ~ c0_1(X65) ) )
| ! [X66] :
( ndr1_0
=> ( ~ c0_1(X66)
| ~ c1_1(X66)
| ~ c3_1(X66) ) )
| hskp22 )
& ( ! [X67] :
( ndr1_0
=> ( c1_1(X67)
| c2_1(X67)
| ~ c0_1(X67) ) )
| hskp30
| hskp23 )
& ( ! [X68] :
( ndr1_0
=> ( c1_1(X68)
| c2_1(X68)
| ~ c3_1(X68) ) )
| hskp17
| hskp6 )
& ( ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| c3_1(X69)
| ~ c0_1(X69) ) )
| ! [X70] :
( ndr1_0
=> ( c1_1(X70)
| ~ c0_1(X70)
| ~ c3_1(X70) ) )
| hskp2 )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| c3_1(X71)
| ~ c2_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( c2_1(X72)
| c3_1(X72)
| ~ c1_1(X72) ) )
| hskp9 )
& ( ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| c3_1(X73)
| ~ c2_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c1_1(X74)
| ~ c2_1(X74)
| ~ c3_1(X74) ) )
| hskp3 )
& ( ! [X75] :
( ndr1_0
=> ( c1_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c0_1(X76)
| ~ c1_1(X76)
| ~ c3_1(X76) ) )
| ! [X77] :
( ndr1_0
=> ( ~ c0_1(X77)
| ~ c2_1(X77)
| ~ c3_1(X77) ) ) )
& ( ! [X78] :
( ndr1_0
=> ( c1_1(X78)
| ~ c0_1(X78)
| ~ c3_1(X78) ) )
| hskp8
| hskp21 )
& ( ! [X79] :
( ndr1_0
=> ( c1_1(X79)
| ~ c2_1(X79)
| ~ c3_1(X79) ) )
| ! [X80] :
( ndr1_0
=> ( c2_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80) ) )
| hskp15 )
& ( ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| c3_1(X81)
| ~ c0_1(X81) ) )
| hskp3
| hskp24 )
& ( ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| c3_1(X82)
| ~ c1_1(X82) ) )
| ! [X83] :
( ndr1_0
=> ( ~ c0_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83) ) )
| hskp12 )
& ( ! [X84] :
( ndr1_0
=> ( c2_1(X84)
| c3_1(X84)
| ~ c1_1(X84) ) )
| hskp25
| hskp3 )
& ( ! [X85] :
( ndr1_0
=> ( c2_1(X85)
| ~ c0_1(X85)
| ~ c1_1(X85) ) )
| hskp28
| hskp26 )
& ( ! [X86] :
( ndr1_0
=> ( c2_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86) ) )
| ! [X87] :
( ndr1_0
=> ( c3_1(X87)
| ~ c1_1(X87)
| ~ c2_1(X87) ) )
| hskp17 )
& ( ! [X88] :
( ndr1_0
=> ( c2_1(X88)
| ~ c1_1(X88)
| ~ c3_1(X88) ) )
| hskp28
| hskp7 )
& ( ! [X89] :
( ndr1_0
=> ( c2_1(X89)
| ~ c1_1(X89)
| ~ c3_1(X89) ) )
| hskp16 )
& ( ! [X90] :
( ndr1_0
=> ( ~ c0_1(X90)
| ~ c1_1(X90)
| ~ c2_1(X90) ) )
| hskp28
| hskp9 )
& ( ! [X91] :
( ndr1_0
=> ( ~ c0_1(X91)
| ~ c1_1(X91)
| ~ c2_1(X91) ) )
| hskp18
| hskp27 )
& ( ! [X92] :
( ndr1_0
=> ( ~ c0_1(X92)
| ~ c1_1(X92)
| ~ c3_1(X92) ) )
| ! [X93] :
( ndr1_0
=> ( ~ c0_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93) ) )
| hskp21 )
& ( ! [X94] :
( ndr1_0
=> ( ~ c0_1(X94)
| ~ c1_1(X94)
| ~ c3_1(X94) ) )
| hskp0
| hskp2 )
& ( ! [X95] :
( ndr1_0
=> ( ~ c0_1(X95)
| ~ c1_1(X95)
| ~ c3_1(X95) ) )
| hskp29
| hskp19 )
& ( ! [X96] :
( ndr1_0
=> ( ~ c0_1(X96)
| ~ c1_1(X96)
| ~ c3_1(X96) ) )
| hskp12
| hskp26 )
& ( ! [X97] :
( ndr1_0
=> ( ~ c0_1(X97)
| ~ c1_1(X97)
| ~ c3_1(X97) ) )
| hskp14
| hskp24 )
& ( ! [X98] :
( ndr1_0
=> ( ~ c0_1(X98)
| ~ c2_1(X98)
| ~ c3_1(X98) ) )
| hskp28
| hskp31 )
& ( ! [X99] :
( ndr1_0
=> ( ~ c0_1(X99)
| ~ c2_1(X99)
| ~ c3_1(X99) ) )
| hskp15
| hskp13 )
& ( ! [X100] :
( ndr1_0
=> ( ~ c1_1(X100)
| ~ c2_1(X100)
| ~ c3_1(X100) ) )
| hskp25
| hskp9 )
& ( ! [X101] :
( ndr1_0
=> ( ~ c1_1(X101)
| ~ c2_1(X101)
| ~ c3_1(X101) ) )
| hskp12
| hskp2 )
& ( hskp31
| hskp12
| hskp24 )
& ( hskp7
| hskp30
| hskp26 )
& ( hskp3
| hskp2
| hskp13 )
& ( hskp3
| hskp27
| hskp26 )
& ( hskp12
| hskp6
| hskp27 )
& ( hskp21
| hskp24
| hskp5 ) ),
inference(flattening,[],[f2]) ).
fof(f4,plain,
( ( ~ hskp0
| ( ndr1_0
& c0_1(a1)
& ~ c1_1(a1)
& ~ c2_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a4)
& c2_1(a4)
& ~ c1_1(a4) ) )
& ( ~ hskp2
| ( ndr1_0
& c2_1(a5)
& ~ c0_1(a5)
& ~ c1_1(a5) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a6)
& c3_1(a6)
& ~ c2_1(a6) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a7)
& c3_1(a7)
& ~ c0_1(a7) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c0_1(a9)
& ~ c1_1(a9)
& ~ c2_1(a9) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a10)
& ~ c1_1(a10)
& ~ c3_1(a10) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a12)
& c1_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a13)
& c2_1(a13)
& ~ c0_1(a13) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c1_1(a15)
& ~ c2_1(a15)
& ~ c3_1(a15) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a17)
& ~ c0_1(a17)
& ~ c2_1(a17) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a21)
& ~ c2_1(a21)
& ~ c3_1(a21) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a24)
& c3_1(a24)
& ~ c2_1(a24) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a26)
& ~ c0_1(a26)
& ~ c1_1(a26) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a28)
& c3_1(a28)
& ~ c0_1(a28) ) )
& ( ~ hskp15
| ( ndr1_0
& c1_1(a29)
& ~ c2_1(a29)
& ~ c3_1(a29) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a30)
& c3_1(a30)
& ~ c1_1(a30) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a32)
& c2_1(a32)
& ~ c3_1(a32) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a33)
& c2_1(a33)
& ~ c3_1(a33) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a35)
& ~ c0_1(a35)
& ~ c3_1(a35) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a36)
& c1_1(a36)
& ~ c2_1(a36) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a39)
& ~ c0_1(a39)
& ~ c3_1(a39) ) )
& ( ~ hskp22
| ( ndr1_0
& ~ c0_1(a40)
& ~ c2_1(a40)
& ~ c3_1(a40) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a42)
& ~ c1_1(a42)
& ~ c3_1(a42) ) )
& ( ~ hskp24
| ( ndr1_0
& c3_1(a52)
& ~ c0_1(a52)
& ~ c2_1(a52) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a54)
& c3_1(a54)
& ~ c1_1(a54) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ c0_1(a57)
& ~ c1_1(a57)
& ~ c3_1(a57) ) )
& ( ~ hskp27
| ( ndr1_0
& c3_1(a65)
& ~ c1_1(a65)
& ~ c2_1(a65) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a2)
& c1_1(a2)
& c2_1(a2) ) )
& ( ~ hskp29
| ( ndr1_0
& c1_1(a8)
& c2_1(a8)
& c3_1(a8) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a20)
& c2_1(a20)
& c3_1(a20) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a76)
& c1_1(a76)
& c3_1(a76) ) )
& ( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 )
| ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 )
| ! [X2] :
( c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0 ) )
& ( ! [X3] :
( c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ ndr1_0 )
| ! [X4] :
( c1_1(X4)
| ~ c0_1(X4)
| ~ c2_1(X4)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X5] :
( c0_1(X5)
| c1_1(X5)
| c2_1(X5)
| ~ ndr1_0 )
| hskp28
| hskp0 )
& ( ! [X6] :
( c0_1(X6)
| c1_1(X6)
| c3_1(X6)
| ~ ndr1_0 )
| ! [X7] :
( c0_1(X7)
| c2_1(X7)
| ~ c3_1(X7)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X8] :
( c0_1(X8)
| c1_1(X8)
| c3_1(X8)
| ~ ndr1_0 )
| ! [X9] :
( c2_1(X9)
| c3_1(X9)
| ~ c1_1(X9)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X10] :
( c0_1(X10)
| c1_1(X10)
| ~ c2_1(X10)
| ~ ndr1_0 )
| ! [X11] :
( c0_1(X11)
| c2_1(X11)
| ~ c1_1(X11)
| ~ ndr1_0 )
| ! [X12] :
( c0_1(X12)
| c3_1(X12)
| ~ c2_1(X12)
| ~ ndr1_0 ) )
& ( ! [X13] :
( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13)
| ~ ndr1_0 )
| ! [X14] :
( c2_1(X14)
| ~ c0_1(X14)
| ~ c1_1(X14)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X15] :
( c0_1(X15)
| c2_1(X15)
| c3_1(X15)
| ~ ndr1_0 )
| ! [X16] :
( c0_1(X16)
| c2_1(X16)
| ~ c3_1(X16)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X17] :
( c0_1(X17)
| c2_1(X17)
| c3_1(X17)
| ~ ndr1_0 )
| hskp29
| hskp5 )
& ( ! [X18] :
( c0_1(X18)
| c2_1(X18)
| ~ c1_1(X18)
| ~ ndr1_0 )
| ! [X19] :
( c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X20] :
( c0_1(X20)
| c2_1(X20)
| ~ c1_1(X20)
| ~ ndr1_0 )
| ! [X21] :
( c3_1(X21)
| ~ c0_1(X21)
| ~ c1_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( ~ c0_1(X22)
| ~ c1_1(X22)
| ~ c3_1(X22)
| ~ ndr1_0 ) )
& ( ! [X23] :
( c0_1(X23)
| c2_1(X23)
| ~ c1_1(X23)
| ~ ndr1_0 )
| ! [X24] :
( ~ c0_1(X24)
| ~ c2_1(X24)
| ~ c3_1(X24)
| ~ ndr1_0 )
| hskp28 )
& ( ! [X25] :
( c0_1(X25)
| c2_1(X25)
| ~ c1_1(X25)
| ~ ndr1_0 )
| hskp7
| hskp8 )
& ( ! [X26] :
( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26)
| ~ ndr1_0 )
| hskp0
| hskp9 )
& ( ! [X27] :
( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27)
| ~ ndr1_0 )
| ! [X28] :
( c0_1(X28)
| ~ c1_1(X28)
| ~ c2_1(X28)
| ~ ndr1_0 )
| ! [X29] :
( ~ c1_1(X29)
| ~ c2_1(X29)
| ~ c3_1(X29)
| ~ ndr1_0 ) )
& ( ! [X30] :
( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30)
| ~ ndr1_0 )
| ! [X31] :
( c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X32] :
( c0_1(X32)
| c2_1(X32)
| ~ c3_1(X32)
| ~ ndr1_0 )
| ! [X33] :
( c1_1(X33)
| c3_1(X33)
| ~ c0_1(X33)
| ~ ndr1_0 )
| hskp10 )
& ( ! [X34] :
( c0_1(X34)
| c2_1(X34)
| ~ c3_1(X34)
| ~ ndr1_0 )
| ! [X35] :
( c3_1(X35)
| ~ c0_1(X35)
| ~ c1_1(X35)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X36] :
( c0_1(X36)
| c2_1(X36)
| ~ c3_1(X36)
| ~ ndr1_0 )
| ! [X37] :
( ~ c0_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X38] :
( c0_1(X38)
| c2_1(X38)
| ~ c3_1(X38)
| ~ ndr1_0 )
| hskp30
| hskp11 )
& ( ! [X39] :
( c0_1(X39)
| c3_1(X39)
| ~ c1_1(X39)
| ~ ndr1_0 )
| hskp30
| hskp8 )
& ( ! [X40] :
( c0_1(X40)
| c3_1(X40)
| ~ c1_1(X40)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X41] :
( c0_1(X41)
| c3_1(X41)
| ~ c2_1(X41)
| ~ ndr1_0 )
| ! [X42] :
( c1_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X43] :
( c0_1(X43)
| c3_1(X43)
| ~ c2_1(X43)
| ~ ndr1_0 )
| ! [X44] :
( c2_1(X44)
| c3_1(X44)
| ~ c0_1(X44)
| ~ ndr1_0 )
| ! [X45] :
( c3_1(X45)
| ~ c0_1(X45)
| ~ c1_1(X45)
| ~ ndr1_0 ) )
& ( ! [X46] :
( c0_1(X46)
| c3_1(X46)
| ~ c2_1(X46)
| ~ ndr1_0 )
| ! [X47] :
( c2_1(X47)
| c3_1(X47)
| ~ c1_1(X47)
| ~ ndr1_0 )
| hskp13 )
& ( ! [X48] :
( c0_1(X48)
| c3_1(X48)
| ~ c2_1(X48)
| ~ ndr1_0 )
| hskp3
| hskp14 )
& ( ! [X49] :
( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49)
| ~ ndr1_0 )
| hskp15
| hskp16 )
& ( ! [X50] :
( c0_1(X50)
| ~ c1_1(X50)
| ~ c2_1(X50)
| ~ ndr1_0 )
| ! [X51] :
( c0_1(X51)
| ~ c1_1(X51)
| ~ c3_1(X51)
| ~ ndr1_0 )
| ! [X52] :
( c1_1(X52)
| c3_1(X52)
| ~ c0_1(X52)
| ~ ndr1_0 ) )
& ( ! [X53] :
( c0_1(X53)
| ~ c1_1(X53)
| ~ c2_1(X53)
| ~ ndr1_0 )
| ! [X54] :
( c3_1(X54)
| ~ c0_1(X54)
| ~ c1_1(X54)
| ~ ndr1_0 )
| hskp30 )
& ( ! [X55] :
( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55)
| ~ ndr1_0 )
| hskp17
| hskp18 )
& ( ! [X56] :
( c0_1(X56)
| ~ c1_1(X56)
| ~ c3_1(X56)
| ~ ndr1_0 )
| hskp11
| hskp19 )
& ( ! [X57] :
( c0_1(X57)
| ~ c2_1(X57)
| ~ c3_1(X57)
| ~ ndr1_0 )
| hskp20
| hskp4 )
& ( ! [X58] :
( c1_1(X58)
| c2_1(X58)
| c3_1(X58)
| ~ ndr1_0 )
| ! [X59] :
( c1_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59)
| ~ ndr1_0 )
| ! [X60] :
( ~ c0_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60)
| ~ ndr1_0 ) )
& ( ! [X61] :
( c1_1(X61)
| c2_1(X61)
| c3_1(X61)
| ~ ndr1_0 )
| ! [X62] :
( c1_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X63] :
( c1_1(X63)
| c2_1(X63)
| c3_1(X63)
| ~ ndr1_0 )
| ! [X64] :
( c3_1(X64)
| ~ c0_1(X64)
| ~ c1_1(X64)
| ~ ndr1_0 )
| hskp21 )
& ( ! [X65] :
( c1_1(X65)
| c2_1(X65)
| ~ c0_1(X65)
| ~ ndr1_0 )
| ! [X66] :
( ~ c0_1(X66)
| ~ c1_1(X66)
| ~ c3_1(X66)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X67] :
( c1_1(X67)
| c2_1(X67)
| ~ c0_1(X67)
| ~ ndr1_0 )
| hskp30
| hskp23 )
& ( ! [X68] :
( c1_1(X68)
| c2_1(X68)
| ~ c3_1(X68)
| ~ ndr1_0 )
| hskp17
| hskp6 )
& ( ! [X69] :
( c1_1(X69)
| c3_1(X69)
| ~ c0_1(X69)
| ~ ndr1_0 )
| ! [X70] :
( c1_1(X70)
| ~ c0_1(X70)
| ~ c3_1(X70)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X71] :
( c1_1(X71)
| c3_1(X71)
| ~ c2_1(X71)
| ~ ndr1_0 )
| ! [X72] :
( c2_1(X72)
| c3_1(X72)
| ~ c1_1(X72)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X73] :
( c1_1(X73)
| c3_1(X73)
| ~ c2_1(X73)
| ~ ndr1_0 )
| ! [X74] :
( ~ c1_1(X74)
| ~ c2_1(X74)
| ~ c3_1(X74)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X75] :
( c1_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75)
| ~ ndr1_0 )
| ! [X76] :
( ~ c0_1(X76)
| ~ c1_1(X76)
| ~ c3_1(X76)
| ~ ndr1_0 )
| ! [X77] :
( ~ c0_1(X77)
| ~ c2_1(X77)
| ~ c3_1(X77)
| ~ ndr1_0 ) )
& ( ! [X78] :
( c1_1(X78)
| ~ c0_1(X78)
| ~ c3_1(X78)
| ~ ndr1_0 )
| hskp8
| hskp21 )
& ( ! [X79] :
( c1_1(X79)
| ~ c2_1(X79)
| ~ c3_1(X79)
| ~ ndr1_0 )
| ! [X80] :
( c2_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80)
| ~ ndr1_0 )
| hskp15 )
& ( ! [X81] :
( c2_1(X81)
| c3_1(X81)
| ~ c0_1(X81)
| ~ ndr1_0 )
| hskp3
| hskp24 )
& ( ! [X82] :
( c2_1(X82)
| c3_1(X82)
| ~ c1_1(X82)
| ~ ndr1_0 )
| ! [X83] :
( ~ c0_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X84] :
( c2_1(X84)
| c3_1(X84)
| ~ c1_1(X84)
| ~ ndr1_0 )
| hskp25
| hskp3 )
& ( ! [X85] :
( c2_1(X85)
| ~ c0_1(X85)
| ~ c1_1(X85)
| ~ ndr1_0 )
| hskp28
| hskp26 )
& ( ! [X86] :
( c2_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86)
| ~ ndr1_0 )
| ! [X87] :
( c3_1(X87)
| ~ c1_1(X87)
| ~ c2_1(X87)
| ~ ndr1_0 )
| hskp17 )
& ( ! [X88] :
( c2_1(X88)
| ~ c1_1(X88)
| ~ c3_1(X88)
| ~ ndr1_0 )
| hskp28
| hskp7 )
& ( ! [X89] :
( c2_1(X89)
| ~ c1_1(X89)
| ~ c3_1(X89)
| ~ ndr1_0 )
| hskp16 )
& ( ! [X90] :
( ~ c0_1(X90)
| ~ c1_1(X90)
| ~ c2_1(X90)
| ~ ndr1_0 )
| hskp28
| hskp9 )
& ( ! [X91] :
( ~ c0_1(X91)
| ~ c1_1(X91)
| ~ c2_1(X91)
| ~ ndr1_0 )
| hskp18
| hskp27 )
& ( ! [X92] :
( ~ c0_1(X92)
| ~ c1_1(X92)
| ~ c3_1(X92)
| ~ ndr1_0 )
| ! [X93] :
( ~ c0_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93)
| ~ ndr1_0 )
| hskp21 )
& ( ! [X94] :
( ~ c0_1(X94)
| ~ c1_1(X94)
| ~ c3_1(X94)
| ~ ndr1_0 )
| hskp0
| hskp2 )
& ( ! [X95] :
( ~ c0_1(X95)
| ~ c1_1(X95)
| ~ c3_1(X95)
| ~ ndr1_0 )
| hskp29
| hskp19 )
& ( ! [X96] :
( ~ c0_1(X96)
| ~ c1_1(X96)
| ~ c3_1(X96)
| ~ ndr1_0 )
| hskp12
| hskp26 )
& ( ! [X97] :
( ~ c0_1(X97)
| ~ c1_1(X97)
| ~ c3_1(X97)
| ~ ndr1_0 )
| hskp14
| hskp24 )
& ( ! [X98] :
( ~ c0_1(X98)
| ~ c2_1(X98)
| ~ c3_1(X98)
| ~ ndr1_0 )
| hskp28
| hskp31 )
& ( ! [X99] :
( ~ c0_1(X99)
| ~ c2_1(X99)
| ~ c3_1(X99)
| ~ ndr1_0 )
| hskp15
| hskp13 )
& ( ! [X100] :
( ~ c1_1(X100)
| ~ c2_1(X100)
| ~ c3_1(X100)
| ~ ndr1_0 )
| hskp25
| hskp9 )
& ( ! [X101] :
( ~ c1_1(X101)
| ~ c2_1(X101)
| ~ c3_1(X101)
| ~ ndr1_0 )
| hskp12
| hskp2 )
& ( hskp31
| hskp12
| hskp24 )
& ( hskp7
| hskp30
| hskp26 )
& ( hskp3
| hskp2
| hskp13 )
& ( hskp3
| hskp27
| hskp26 )
& ( hskp12
| hskp6
| hskp27 )
& ( hskp21
| hskp24
| hskp5 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ~ hskp0
| ( ndr1_0
& c0_1(a1)
& ~ c1_1(a1)
& ~ c2_1(a1) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a4)
& c2_1(a4)
& ~ c1_1(a4) ) )
& ( ~ hskp2
| ( ndr1_0
& c2_1(a5)
& ~ c0_1(a5)
& ~ c1_1(a5) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a6)
& c3_1(a6)
& ~ c2_1(a6) ) )
& ( ~ hskp4
| ( ndr1_0
& c1_1(a7)
& c3_1(a7)
& ~ c0_1(a7) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c0_1(a9)
& ~ c1_1(a9)
& ~ c2_1(a9) ) )
& ( ~ hskp6
| ( ndr1_0
& c2_1(a10)
& ~ c1_1(a10)
& ~ c3_1(a10) ) )
& ( ~ hskp7
| ( ndr1_0
& c0_1(a12)
& c1_1(a12)
& ~ c3_1(a12) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a13)
& c2_1(a13)
& ~ c0_1(a13) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c1_1(a15)
& ~ c2_1(a15)
& ~ c3_1(a15) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a17)
& ~ c0_1(a17)
& ~ c2_1(a17) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a21)
& ~ c2_1(a21)
& ~ c3_1(a21) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a24)
& c3_1(a24)
& ~ c2_1(a24) ) )
& ( ~ hskp13
| ( ndr1_0
& c3_1(a26)
& ~ c0_1(a26)
& ~ c1_1(a26) ) )
& ( ~ hskp14
| ( ndr1_0
& c2_1(a28)
& c3_1(a28)
& ~ c0_1(a28) ) )
& ( ~ hskp15
| ( ndr1_0
& c1_1(a29)
& ~ c2_1(a29)
& ~ c3_1(a29) ) )
& ( ~ hskp16
| ( ndr1_0
& c2_1(a30)
& c3_1(a30)
& ~ c1_1(a30) ) )
& ( ~ hskp17
| ( ndr1_0
& c0_1(a32)
& c2_1(a32)
& ~ c3_1(a32) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a33)
& c2_1(a33)
& ~ c3_1(a33) ) )
& ( ~ hskp19
| ( ndr1_0
& c1_1(a35)
& ~ c0_1(a35)
& ~ c3_1(a35) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a36)
& c1_1(a36)
& ~ c2_1(a36) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a39)
& ~ c0_1(a39)
& ~ c3_1(a39) ) )
& ( ~ hskp22
| ( ndr1_0
& ~ c0_1(a40)
& ~ c2_1(a40)
& ~ c3_1(a40) ) )
& ( ~ hskp23
| ( ndr1_0
& c0_1(a42)
& ~ c1_1(a42)
& ~ c3_1(a42) ) )
& ( ~ hskp24
| ( ndr1_0
& c3_1(a52)
& ~ c0_1(a52)
& ~ c2_1(a52) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a54)
& c3_1(a54)
& ~ c1_1(a54) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ c0_1(a57)
& ~ c1_1(a57)
& ~ c3_1(a57) ) )
& ( ~ hskp27
| ( ndr1_0
& c3_1(a65)
& ~ c1_1(a65)
& ~ c2_1(a65) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a2)
& c1_1(a2)
& c2_1(a2) ) )
& ( ~ hskp29
| ( ndr1_0
& c1_1(a8)
& c2_1(a8)
& c3_1(a8) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a20)
& c2_1(a20)
& c3_1(a20) ) )
& ( ~ hskp31
| ( ndr1_0
& c0_1(a76)
& c1_1(a76)
& c3_1(a76) ) )
& ( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 )
| ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 )
| ! [X2] :
( c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0 ) )
& ( ! [X3] :
( c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ ndr1_0 )
| ! [X4] :
( c1_1(X4)
| ~ c0_1(X4)
| ~ c2_1(X4)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X5] :
( c0_1(X5)
| c1_1(X5)
| c2_1(X5)
| ~ ndr1_0 )
| hskp28
| hskp0 )
& ( ! [X6] :
( c0_1(X6)
| c1_1(X6)
| c3_1(X6)
| ~ ndr1_0 )
| ! [X7] :
( c0_1(X7)
| c2_1(X7)
| ~ c3_1(X7)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X8] :
( c0_1(X8)
| c1_1(X8)
| c3_1(X8)
| ~ ndr1_0 )
| ! [X9] :
( c2_1(X9)
| c3_1(X9)
| ~ c1_1(X9)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X10] :
( c0_1(X10)
| c1_1(X10)
| ~ c2_1(X10)
| ~ ndr1_0 )
| ! [X11] :
( c0_1(X11)
| c2_1(X11)
| ~ c1_1(X11)
| ~ ndr1_0 )
| ! [X12] :
( c0_1(X12)
| c3_1(X12)
| ~ c2_1(X12)
| ~ ndr1_0 ) )
& ( ! [X13] :
( c0_1(X13)
| c1_1(X13)
| ~ c3_1(X13)
| ~ ndr1_0 )
| ! [X14] :
( c2_1(X14)
| ~ c0_1(X14)
| ~ c1_1(X14)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X15] :
( c0_1(X15)
| c2_1(X15)
| c3_1(X15)
| ~ ndr1_0 )
| ! [X16] :
( c0_1(X16)
| c2_1(X16)
| ~ c3_1(X16)
| ~ ndr1_0 )
| hskp4 )
& ( ! [X17] :
( c0_1(X17)
| c2_1(X17)
| c3_1(X17)
| ~ ndr1_0 )
| hskp29
| hskp5 )
& ( ! [X18] :
( c0_1(X18)
| c2_1(X18)
| ~ c1_1(X18)
| ~ ndr1_0 )
| ! [X19] :
( c0_1(X19)
| c3_1(X19)
| ~ c1_1(X19)
| ~ ndr1_0 )
| hskp6 )
& ( ! [X20] :
( c0_1(X20)
| c2_1(X20)
| ~ c1_1(X20)
| ~ ndr1_0 )
| ! [X21] :
( c3_1(X21)
| ~ c0_1(X21)
| ~ c1_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( ~ c0_1(X22)
| ~ c1_1(X22)
| ~ c3_1(X22)
| ~ ndr1_0 ) )
& ( ! [X23] :
( c0_1(X23)
| c2_1(X23)
| ~ c1_1(X23)
| ~ ndr1_0 )
| ! [X24] :
( ~ c0_1(X24)
| ~ c2_1(X24)
| ~ c3_1(X24)
| ~ ndr1_0 )
| hskp28 )
& ( ! [X25] :
( c0_1(X25)
| c2_1(X25)
| ~ c1_1(X25)
| ~ ndr1_0 )
| hskp7
| hskp8 )
& ( ! [X26] :
( c0_1(X26)
| c2_1(X26)
| ~ c1_1(X26)
| ~ ndr1_0 )
| hskp0
| hskp9 )
& ( ! [X27] :
( c0_1(X27)
| c2_1(X27)
| ~ c3_1(X27)
| ~ ndr1_0 )
| ! [X28] :
( c0_1(X28)
| ~ c1_1(X28)
| ~ c2_1(X28)
| ~ ndr1_0 )
| ! [X29] :
( ~ c1_1(X29)
| ~ c2_1(X29)
| ~ c3_1(X29)
| ~ ndr1_0 ) )
& ( ! [X30] :
( c0_1(X30)
| c2_1(X30)
| ~ c3_1(X30)
| ~ ndr1_0 )
| ! [X31] :
( c1_1(X31)
| c3_1(X31)
| ~ c0_1(X31)
| ~ ndr1_0 )
| hskp7 )
& ( ! [X32] :
( c0_1(X32)
| c2_1(X32)
| ~ c3_1(X32)
| ~ ndr1_0 )
| ! [X33] :
( c1_1(X33)
| c3_1(X33)
| ~ c0_1(X33)
| ~ ndr1_0 )
| hskp10 )
& ( ! [X34] :
( c0_1(X34)
| c2_1(X34)
| ~ c3_1(X34)
| ~ ndr1_0 )
| ! [X35] :
( c3_1(X35)
| ~ c0_1(X35)
| ~ c1_1(X35)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X36] :
( c0_1(X36)
| c2_1(X36)
| ~ c3_1(X36)
| ~ ndr1_0 )
| ! [X37] :
( ~ c0_1(X37)
| ~ c1_1(X37)
| ~ c3_1(X37)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X38] :
( c0_1(X38)
| c2_1(X38)
| ~ c3_1(X38)
| ~ ndr1_0 )
| hskp30
| hskp11 )
& ( ! [X39] :
( c0_1(X39)
| c3_1(X39)
| ~ c1_1(X39)
| ~ ndr1_0 )
| hskp30
| hskp8 )
& ( ! [X40] :
( c0_1(X40)
| c3_1(X40)
| ~ c1_1(X40)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X41] :
( c0_1(X41)
| c3_1(X41)
| ~ c2_1(X41)
| ~ ndr1_0 )
| ! [X42] :
( c1_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X43] :
( c0_1(X43)
| c3_1(X43)
| ~ c2_1(X43)
| ~ ndr1_0 )
| ! [X44] :
( c2_1(X44)
| c3_1(X44)
| ~ c0_1(X44)
| ~ ndr1_0 )
| ! [X45] :
( c3_1(X45)
| ~ c0_1(X45)
| ~ c1_1(X45)
| ~ ndr1_0 ) )
& ( ! [X46] :
( c0_1(X46)
| c3_1(X46)
| ~ c2_1(X46)
| ~ ndr1_0 )
| ! [X47] :
( c2_1(X47)
| c3_1(X47)
| ~ c1_1(X47)
| ~ ndr1_0 )
| hskp13 )
& ( ! [X48] :
( c0_1(X48)
| c3_1(X48)
| ~ c2_1(X48)
| ~ ndr1_0 )
| hskp3
| hskp14 )
& ( ! [X49] :
( c0_1(X49)
| c3_1(X49)
| ~ c2_1(X49)
| ~ ndr1_0 )
| hskp15
| hskp16 )
& ( ! [X50] :
( c0_1(X50)
| ~ c1_1(X50)
| ~ c2_1(X50)
| ~ ndr1_0 )
| ! [X51] :
( c0_1(X51)
| ~ c1_1(X51)
| ~ c3_1(X51)
| ~ ndr1_0 )
| ! [X52] :
( c1_1(X52)
| c3_1(X52)
| ~ c0_1(X52)
| ~ ndr1_0 ) )
& ( ! [X53] :
( c0_1(X53)
| ~ c1_1(X53)
| ~ c2_1(X53)
| ~ ndr1_0 )
| ! [X54] :
( c3_1(X54)
| ~ c0_1(X54)
| ~ c1_1(X54)
| ~ ndr1_0 )
| hskp30 )
& ( ! [X55] :
( c0_1(X55)
| ~ c1_1(X55)
| ~ c2_1(X55)
| ~ ndr1_0 )
| hskp17
| hskp18 )
& ( ! [X56] :
( c0_1(X56)
| ~ c1_1(X56)
| ~ c3_1(X56)
| ~ ndr1_0 )
| hskp11
| hskp19 )
& ( ! [X57] :
( c0_1(X57)
| ~ c2_1(X57)
| ~ c3_1(X57)
| ~ ndr1_0 )
| hskp20
| hskp4 )
& ( ! [X58] :
( c1_1(X58)
| c2_1(X58)
| c3_1(X58)
| ~ ndr1_0 )
| ! [X59] :
( c1_1(X59)
| ~ c0_1(X59)
| ~ c2_1(X59)
| ~ ndr1_0 )
| ! [X60] :
( ~ c0_1(X60)
| ~ c2_1(X60)
| ~ c3_1(X60)
| ~ ndr1_0 ) )
& ( ! [X61] :
( c1_1(X61)
| c2_1(X61)
| c3_1(X61)
| ~ ndr1_0 )
| ! [X62] :
( c1_1(X62)
| ~ c2_1(X62)
| ~ c3_1(X62)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X63] :
( c1_1(X63)
| c2_1(X63)
| c3_1(X63)
| ~ ndr1_0 )
| ! [X64] :
( c3_1(X64)
| ~ c0_1(X64)
| ~ c1_1(X64)
| ~ ndr1_0 )
| hskp21 )
& ( ! [X65] :
( c1_1(X65)
| c2_1(X65)
| ~ c0_1(X65)
| ~ ndr1_0 )
| ! [X66] :
( ~ c0_1(X66)
| ~ c1_1(X66)
| ~ c3_1(X66)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X67] :
( c1_1(X67)
| c2_1(X67)
| ~ c0_1(X67)
| ~ ndr1_0 )
| hskp30
| hskp23 )
& ( ! [X68] :
( c1_1(X68)
| c2_1(X68)
| ~ c3_1(X68)
| ~ ndr1_0 )
| hskp17
| hskp6 )
& ( ! [X69] :
( c1_1(X69)
| c3_1(X69)
| ~ c0_1(X69)
| ~ ndr1_0 )
| ! [X70] :
( c1_1(X70)
| ~ c0_1(X70)
| ~ c3_1(X70)
| ~ ndr1_0 )
| hskp2 )
& ( ! [X71] :
( c1_1(X71)
| c3_1(X71)
| ~ c2_1(X71)
| ~ ndr1_0 )
| ! [X72] :
( c2_1(X72)
| c3_1(X72)
| ~ c1_1(X72)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X73] :
( c1_1(X73)
| c3_1(X73)
| ~ c2_1(X73)
| ~ ndr1_0 )
| ! [X74] :
( ~ c1_1(X74)
| ~ c2_1(X74)
| ~ c3_1(X74)
| ~ ndr1_0 )
| hskp3 )
& ( ! [X75] :
( c1_1(X75)
| ~ c0_1(X75)
| ~ c3_1(X75)
| ~ ndr1_0 )
| ! [X76] :
( ~ c0_1(X76)
| ~ c1_1(X76)
| ~ c3_1(X76)
| ~ ndr1_0 )
| ! [X77] :
( ~ c0_1(X77)
| ~ c2_1(X77)
| ~ c3_1(X77)
| ~ ndr1_0 ) )
& ( ! [X78] :
( c1_1(X78)
| ~ c0_1(X78)
| ~ c3_1(X78)
| ~ ndr1_0 )
| hskp8
| hskp21 )
& ( ! [X79] :
( c1_1(X79)
| ~ c2_1(X79)
| ~ c3_1(X79)
| ~ ndr1_0 )
| ! [X80] :
( c2_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80)
| ~ ndr1_0 )
| hskp15 )
& ( ! [X81] :
( c2_1(X81)
| c3_1(X81)
| ~ c0_1(X81)
| ~ ndr1_0 )
| hskp3
| hskp24 )
& ( ! [X82] :
( c2_1(X82)
| c3_1(X82)
| ~ c1_1(X82)
| ~ ndr1_0 )
| ! [X83] :
( ~ c0_1(X83)
| ~ c2_1(X83)
| ~ c3_1(X83)
| ~ ndr1_0 )
| hskp12 )
& ( ! [X84] :
( c2_1(X84)
| c3_1(X84)
| ~ c1_1(X84)
| ~ ndr1_0 )
| hskp25
| hskp3 )
& ( ! [X85] :
( c2_1(X85)
| ~ c0_1(X85)
| ~ c1_1(X85)
| ~ ndr1_0 )
| hskp28
| hskp26 )
& ( ! [X86] :
( c2_1(X86)
| ~ c0_1(X86)
| ~ c3_1(X86)
| ~ ndr1_0 )
| ! [X87] :
( c3_1(X87)
| ~ c1_1(X87)
| ~ c2_1(X87)
| ~ ndr1_0 )
| hskp17 )
& ( ! [X88] :
( c2_1(X88)
| ~ c1_1(X88)
| ~ c3_1(X88)
| ~ ndr1_0 )
| hskp28
| hskp7 )
& ( ! [X89] :
( c2_1(X89)
| ~ c1_1(X89)
| ~ c3_1(X89)
| ~ ndr1_0 )
| hskp16 )
& ( ! [X90] :
( ~ c0_1(X90)
| ~ c1_1(X90)
| ~ c2_1(X90)
| ~ ndr1_0 )
| hskp28
| hskp9 )
& ( ! [X91] :
( ~ c0_1(X91)
| ~ c1_1(X91)
| ~ c2_1(X91)
| ~ ndr1_0 )
| hskp18
| hskp27 )
& ( ! [X92] :
( ~ c0_1(X92)
| ~ c1_1(X92)
| ~ c3_1(X92)
| ~ ndr1_0 )
| ! [X93] :
( ~ c0_1(X93)
| ~ c2_1(X93)
| ~ c3_1(X93)
| ~ ndr1_0 )
| hskp21 )
& ( ! [X94] :
( ~ c0_1(X94)
| ~ c1_1(X94)
| ~ c3_1(X94)
| ~ ndr1_0 )
| hskp0
| hskp2 )
& ( ! [X95] :
( ~ c0_1(X95)
| ~ c1_1(X95)
| ~ c3_1(X95)
| ~ ndr1_0 )
| hskp29
| hskp19 )
& ( ! [X96] :
( ~ c0_1(X96)
| ~ c1_1(X96)
| ~ c3_1(X96)
| ~ ndr1_0 )
| hskp12
| hskp26 )
& ( ! [X97] :
( ~ c0_1(X97)
| ~ c1_1(X97)
| ~ c3_1(X97)
| ~ ndr1_0 )
| hskp14
| hskp24 )
& ( ! [X98] :
( ~ c0_1(X98)
| ~ c2_1(X98)
| ~ c3_1(X98)
| ~ ndr1_0 )
| hskp28
| hskp31 )
& ( ! [X99] :
( ~ c0_1(X99)
| ~ c2_1(X99)
| ~ c3_1(X99)
| ~ ndr1_0 )
| hskp15
| hskp13 )
& ( ! [X100] :
( ~ c1_1(X100)
| ~ c2_1(X100)
| ~ c3_1(X100)
| ~ ndr1_0 )
| hskp25
| hskp9 )
& ( ! [X101] :
( ~ c1_1(X101)
| ~ c2_1(X101)
| ~ c3_1(X101)
| ~ ndr1_0 )
| hskp12
| hskp2 )
& ( hskp31
| hskp12
| hskp24 )
& ( hskp7
| hskp30
| hskp26 )
& ( hskp3
| hskp2
| hskp13 )
& ( hskp3
| hskp27
| hskp26 )
& ( hskp12
| hskp6
| hskp27 )
& ( hskp21
| hskp24
| hskp5 ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
! [X2,X0,X1] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| c2_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| c2_1(X0)
| c1_1(X0)
| c0_1(X0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X6,X7] :
( hskp1
| ~ c3_1(X7)
| c2_1(X7)
| c0_1(X7)
| ~ ndr1_0
| c3_1(X6)
| c1_1(X6)
| c0_1(X6) ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
! [X10,X11,X12] :
( ~ c2_1(X12)
| c3_1(X12)
| c0_1(X12)
| ~ c1_1(X11)
| c2_1(X11)
| c0_1(X11)
| ~ ndr1_0
| ~ c2_1(X10)
| c1_1(X10)
| c0_1(X10) ),
inference(cnf_transformation,[],[f5]) ).
fof(f12,plain,
! [X14,X13] :
( hskp3
| ~ c1_1(X14)
| ~ c0_1(X14)
| c2_1(X14)
| ~ ndr1_0
| ~ c3_1(X13)
| c1_1(X13)
| c0_1(X13) ),
inference(cnf_transformation,[],[f5]) ).
fof(f13,plain,
! [X16,X15] :
( hskp4
| ~ c3_1(X16)
| c2_1(X16)
| c0_1(X16)
| ~ ndr1_0
| c3_1(X15)
| c2_1(X15)
| c0_1(X15) ),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
! [X18,X19] :
( hskp6
| ~ c1_1(X19)
| c3_1(X19)
| c0_1(X19)
| ~ ndr1_0
| ~ c1_1(X18)
| c2_1(X18)
| c0_1(X18) ),
inference(cnf_transformation,[],[f5]) ).
fof(f16,plain,
! [X21,X22,X20] :
( ~ c3_1(X22)
| ~ c1_1(X22)
| ~ c0_1(X22)
| ~ c1_1(X21)
| ~ c0_1(X21)
| c3_1(X21)
| ~ ndr1_0
| ~ c1_1(X20)
| c2_1(X20)
| c0_1(X20) ),
inference(cnf_transformation,[],[f5]) ).
fof(f17,plain,
! [X24,X23] :
( hskp28
| ~ c3_1(X24)
| ~ c2_1(X24)
| ~ c0_1(X24)
| ~ ndr1_0
| ~ c1_1(X23)
| c2_1(X23)
| c0_1(X23) ),
inference(cnf_transformation,[],[f5]) ).
fof(f18,plain,
! [X25] :
( hskp8
| hskp7
| ~ ndr1_0
| ~ c1_1(X25)
| c2_1(X25)
| c0_1(X25) ),
inference(cnf_transformation,[],[f5]) ).
fof(f20,plain,
! [X28,X29,X27] :
( ~ c3_1(X29)
| ~ c2_1(X29)
| ~ c1_1(X29)
| ~ c2_1(X28)
| ~ c1_1(X28)
| c0_1(X28)
| ~ ndr1_0
| ~ c3_1(X27)
| c2_1(X27)
| c0_1(X27) ),
inference(cnf_transformation,[],[f5]) ).
fof(f22,plain,
! [X32,X33] :
( hskp10
| ~ c0_1(X33)
| c3_1(X33)
| c1_1(X33)
| ~ ndr1_0
| ~ c3_1(X32)
| c2_1(X32)
| c0_1(X32) ),
inference(cnf_transformation,[],[f5]) ).
fof(f23,plain,
! [X34,X35] :
( hskp5
| ~ c1_1(X35)
| ~ c0_1(X35)
| c3_1(X35)
| ~ ndr1_0
| ~ c3_1(X34)
| c2_1(X34)
| c0_1(X34) ),
inference(cnf_transformation,[],[f5]) ).
fof(f24,plain,
! [X36,X37] :
( hskp5
| ~ c3_1(X37)
| ~ c1_1(X37)
| ~ c0_1(X37)
| ~ ndr1_0
| ~ c3_1(X36)
| c2_1(X36)
| c0_1(X36) ),
inference(cnf_transformation,[],[f5]) ).
fof(f25,plain,
! [X38] :
( hskp11
| hskp30
| ~ ndr1_0
| ~ c3_1(X38)
| c2_1(X38)
| c0_1(X38) ),
inference(cnf_transformation,[],[f5]) ).
fof(f27,plain,
! [X40] :
( hskp12
| ~ ndr1_0
| ~ c1_1(X40)
| c3_1(X40)
| c0_1(X40) ),
inference(cnf_transformation,[],[f5]) ).
fof(f28,plain,
! [X41,X42] :
( hskp8
| ~ c3_1(X42)
| ~ c2_1(X42)
| c1_1(X42)
| ~ ndr1_0
| ~ c2_1(X41)
| c3_1(X41)
| c0_1(X41) ),
inference(cnf_transformation,[],[f5]) ).
fof(f29,plain,
! [X44,X45,X43] :
( ~ c1_1(X45)
| ~ c0_1(X45)
| c3_1(X45)
| ~ c0_1(X44)
| c3_1(X44)
| c2_1(X44)
| ~ ndr1_0
| ~ c2_1(X43)
| c3_1(X43)
| c0_1(X43) ),
inference(cnf_transformation,[],[f5]) ).
fof(f30,plain,
! [X46,X47] :
( hskp13
| ~ c1_1(X47)
| c3_1(X47)
| c2_1(X47)
| ~ ndr1_0
| ~ c2_1(X46)
| c3_1(X46)
| c0_1(X46) ),
inference(cnf_transformation,[],[f5]) ).
fof(f33,plain,
! [X50,X51,X52] :
( ~ c0_1(X52)
| c3_1(X52)
| c1_1(X52)
| ~ c3_1(X51)
| ~ c1_1(X51)
| c0_1(X51)
| ~ ndr1_0
| ~ c2_1(X50)
| ~ c1_1(X50)
| c0_1(X50) ),
inference(cnf_transformation,[],[f5]) ).
fof(f34,plain,
! [X54,X53] :
( hskp30
| ~ c1_1(X54)
| ~ c0_1(X54)
| c3_1(X54)
| ~ ndr1_0
| ~ c2_1(X53)
| ~ c1_1(X53)
| c0_1(X53) ),
inference(cnf_transformation,[],[f5]) ).
fof(f36,plain,
! [X56] :
( hskp19
| hskp11
| ~ ndr1_0
| ~ c3_1(X56)
| ~ c1_1(X56)
| c0_1(X56) ),
inference(cnf_transformation,[],[f5]) ).
fof(f37,plain,
! [X57] :
( hskp4
| hskp20
| ~ ndr1_0
| ~ c3_1(X57)
| ~ c2_1(X57)
| c0_1(X57) ),
inference(cnf_transformation,[],[f5]) ).
fof(f38,plain,
! [X58,X59,X60] :
( ~ c3_1(X60)
| ~ c2_1(X60)
| ~ c0_1(X60)
| ~ c2_1(X59)
| ~ c0_1(X59)
| c1_1(X59)
| ~ ndr1_0
| c3_1(X58)
| c2_1(X58)
| c1_1(X58) ),
inference(cnf_transformation,[],[f5]) ).
fof(f39,plain,
! [X62,X61] :
( hskp8
| ~ c3_1(X62)
| ~ c2_1(X62)
| c1_1(X62)
| ~ ndr1_0
| c3_1(X61)
| c2_1(X61)
| c1_1(X61) ),
inference(cnf_transformation,[],[f5]) ).
fof(f40,plain,
! [X63,X64] :
( hskp21
| ~ c1_1(X64)
| ~ c0_1(X64)
| c3_1(X64)
| ~ ndr1_0
| c3_1(X63)
| c2_1(X63)
| c1_1(X63) ),
inference(cnf_transformation,[],[f5]) ).
fof(f44,plain,
! [X70,X69] :
( hskp2
| ~ c3_1(X70)
| ~ c0_1(X70)
| c1_1(X70)
| ~ ndr1_0
| ~ c0_1(X69)
| c3_1(X69)
| c1_1(X69) ),
inference(cnf_transformation,[],[f5]) ).
fof(f48,plain,
! [X78] :
( hskp21
| hskp8
| ~ ndr1_0
| ~ c3_1(X78)
| ~ c0_1(X78)
| c1_1(X78) ),
inference(cnf_transformation,[],[f5]) ).
fof(f49,plain,
! [X80,X79] :
( hskp15
| ~ c1_1(X80)
| ~ c0_1(X80)
| c2_1(X80)
| ~ ndr1_0
| ~ c3_1(X79)
| ~ c2_1(X79)
| c1_1(X79) ),
inference(cnf_transformation,[],[f5]) ).
fof(f51,plain,
! [X82,X83] :
( hskp12
| ~ c3_1(X83)
| ~ c2_1(X83)
| ~ c0_1(X83)
| ~ ndr1_0
| ~ c1_1(X82)
| c3_1(X82)
| c2_1(X82) ),
inference(cnf_transformation,[],[f5]) ).
fof(f53,plain,
! [X85] :
( hskp26
| hskp28
| ~ ndr1_0
| ~ c1_1(X85)
| ~ c0_1(X85)
| c2_1(X85) ),
inference(cnf_transformation,[],[f5]) ).
fof(f55,plain,
! [X88] :
( hskp7
| hskp28
| ~ ndr1_0
| ~ c3_1(X88)
| ~ c1_1(X88)
| c2_1(X88) ),
inference(cnf_transformation,[],[f5]) ).
fof(f56,plain,
! [X89] :
( hskp16
| ~ ndr1_0
| ~ c3_1(X89)
| ~ c1_1(X89)
| c2_1(X89) ),
inference(cnf_transformation,[],[f5]) ).
fof(f59,plain,
! [X92,X93] :
( hskp21
| ~ c3_1(X93)
| ~ c2_1(X93)
| ~ c0_1(X93)
| ~ ndr1_0
| ~ c3_1(X92)
| ~ c1_1(X92)
| ~ c0_1(X92) ),
inference(cnf_transformation,[],[f5]) ).
fof(f61,plain,
! [X95] :
( hskp19
| hskp29
| ~ ndr1_0
| ~ c3_1(X95)
| ~ c1_1(X95)
| ~ c0_1(X95) ),
inference(cnf_transformation,[],[f5]) ).
fof(f63,plain,
! [X97] :
( hskp24
| hskp14
| ~ ndr1_0
| ~ c3_1(X97)
| ~ c1_1(X97)
| ~ c0_1(X97) ),
inference(cnf_transformation,[],[f5]) ).
fof(f64,plain,
! [X98] :
( hskp31
| hskp28
| ~ ndr1_0
| ~ c3_1(X98)
| ~ c2_1(X98)
| ~ c0_1(X98) ),
inference(cnf_transformation,[],[f5]) ).
fof(f67,plain,
! [X101] :
( hskp2
| hskp12
| ~ ndr1_0
| ~ c3_1(X101)
| ~ c2_1(X101)
| ~ c1_1(X101) ),
inference(cnf_transformation,[],[f5]) ).
fof(f72,plain,
( ~ c1_1(a4)
| ~ hskp1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f73,plain,
( c2_1(a4)
| ~ hskp1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f74,plain,
( c0_1(a4)
| ~ hskp1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f76,plain,
( ~ c1_1(a5)
| ~ hskp2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f77,plain,
( ~ c0_1(a5)
| ~ hskp2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f78,plain,
( c2_1(a5)
| ~ hskp2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
( c3_1(a6)
| ~ hskp3 ),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
( c0_1(a6)
| ~ hskp3 ),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
( ~ c0_1(a7)
| ~ hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f85,plain,
( c3_1(a7)
| ~ hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f86,plain,
( c1_1(a7)
| ~ hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f88,plain,
( ~ c2_1(a9)
| ~ hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f89,plain,
( ~ c1_1(a9)
| ~ hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f90,plain,
( ~ c0_1(a9)
| ~ hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f92,plain,
( ~ c3_1(a10)
| ~ hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f93,plain,
( ~ c1_1(a10)
| ~ hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f94,plain,
( c2_1(a10)
| ~ hskp6 ),
inference(cnf_transformation,[],[f5]) ).
fof(f96,plain,
( ~ c3_1(a12)
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f97,plain,
( c1_1(a12)
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f98,plain,
( c0_1(a12)
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f99,plain,
( ndr1_0
| ~ hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f100,plain,
( ~ c0_1(a13)
| ~ hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f101,plain,
( c2_1(a13)
| ~ hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f102,plain,
( c1_1(a13)
| ~ hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f108,plain,
( ~ c2_1(a17)
| ~ hskp10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f109,plain,
( ~ c0_1(a17)
| ~ hskp10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f110,plain,
( c1_1(a17)
| ~ hskp10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f112,plain,
( ~ c3_1(a21)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f113,plain,
( ~ c2_1(a21)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f114,plain,
( c0_1(a21)
| ~ hskp11 ),
inference(cnf_transformation,[],[f5]) ).
fof(f116,plain,
( ~ c2_1(a24)
| ~ hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f117,plain,
( c3_1(a24)
| ~ hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f118,plain,
( c1_1(a24)
| ~ hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f120,plain,
( ~ c1_1(a26)
| ~ hskp13 ),
inference(cnf_transformation,[],[f5]) ).
fof(f121,plain,
( ~ c0_1(a26)
| ~ hskp13 ),
inference(cnf_transformation,[],[f5]) ).
fof(f124,plain,
( ~ c0_1(a28)
| ~ hskp14 ),
inference(cnf_transformation,[],[f5]) ).
fof(f125,plain,
( c3_1(a28)
| ~ hskp14 ),
inference(cnf_transformation,[],[f5]) ).
fof(f126,plain,
( c2_1(a28)
| ~ hskp14 ),
inference(cnf_transformation,[],[f5]) ).
fof(f128,plain,
( ~ c3_1(a29)
| ~ hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f129,plain,
( ~ c2_1(a29)
| ~ hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f130,plain,
( c1_1(a29)
| ~ hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f132,plain,
( ~ c1_1(a30)
| ~ hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f133,plain,
( c3_1(a30)
| ~ hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f134,plain,
( c2_1(a30)
| ~ hskp16 ),
inference(cnf_transformation,[],[f5]) ).
fof(f144,plain,
( ~ c3_1(a35)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f145,plain,
( ~ c0_1(a35)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f146,plain,
( c1_1(a35)
| ~ hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f148,plain,
( ~ c2_1(a36)
| ~ hskp20 ),
inference(cnf_transformation,[],[f5]) ).
fof(f149,plain,
( c1_1(a36)
| ~ hskp20 ),
inference(cnf_transformation,[],[f5]) ).
fof(f152,plain,
( ~ c3_1(a39)
| ~ hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f153,plain,
( ~ c0_1(a39)
| ~ hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f154,plain,
( c2_1(a39)
| ~ hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
( ~ c2_1(a52)
| ~ hskp24 ),
inference(cnf_transformation,[],[f5]) ).
fof(f165,plain,
( ~ c0_1(a52)
| ~ hskp24 ),
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
( c3_1(a52)
| ~ hskp24 ),
inference(cnf_transformation,[],[f5]) ).
fof(f172,plain,
( ~ c3_1(a57)
| ~ hskp26 ),
inference(cnf_transformation,[],[f5]) ).
fof(f173,plain,
( ~ c1_1(a57)
| ~ hskp26 ),
inference(cnf_transformation,[],[f5]) ).
fof(f175,plain,
( ndr1_0
| ~ hskp26 ),
inference(cnf_transformation,[],[f5]) ).
fof(f180,plain,
( c2_1(a2)
| ~ hskp28 ),
inference(cnf_transformation,[],[f5]) ).
fof(f181,plain,
( c1_1(a2)
| ~ hskp28 ),
inference(cnf_transformation,[],[f5]) ).
fof(f182,plain,
( c0_1(a2)
| ~ hskp28 ),
inference(cnf_transformation,[],[f5]) ).
fof(f184,plain,
( c3_1(a8)
| ~ hskp29 ),
inference(cnf_transformation,[],[f5]) ).
fof(f185,plain,
( c2_1(a8)
| ~ hskp29 ),
inference(cnf_transformation,[],[f5]) ).
fof(f186,plain,
( c1_1(a8)
| ~ hskp29 ),
inference(cnf_transformation,[],[f5]) ).
fof(f188,plain,
( c3_1(a20)
| ~ hskp30 ),
inference(cnf_transformation,[],[f5]) ).
fof(f189,plain,
( c2_1(a20)
| ~ hskp30 ),
inference(cnf_transformation,[],[f5]) ).
fof(f190,plain,
( c0_1(a20)
| ~ hskp30 ),
inference(cnf_transformation,[],[f5]) ).
fof(f191,plain,
( ndr1_0
| ~ hskp30 ),
inference(cnf_transformation,[],[f5]) ).
fof(f192,plain,
( c3_1(a76)
| ~ hskp31 ),
inference(cnf_transformation,[],[f5]) ).
fof(f193,plain,
( c1_1(a76)
| ~ hskp31 ),
inference(cnf_transformation,[],[f5]) ).
fof(f194,plain,
( c0_1(a76)
| ~ hskp31 ),
inference(cnf_transformation,[],[f5]) ).
fof(f196,plain,
( hskp24
| hskp12
| hskp31 ),
inference(cnf_transformation,[],[f5]) ).
fof(f197,plain,
( hskp26
| hskp30
| hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f201,plain,
( hskp5
| hskp24
| hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f202,plain,
( hskp5
| hskp24
| ~ hskp21 ),
inference(consistent_polarity_flipping,[],[f201]) ).
fof(f206,plain,
( ~ hskp26
| hskp30
| hskp7 ),
inference(consistent_polarity_flipping,[],[f197]) ).
fof(f207,plain,
( hskp24
| ~ hskp12
| ~ hskp31 ),
inference(consistent_polarity_flipping,[],[f196]) ).
fof(f209,plain,
( ~ c0_1(a76)
| hskp31 ),
inference(consistent_polarity_flipping,[],[f194]) ).
fof(f210,plain,
( ~ c1_1(a76)
| hskp31 ),
inference(consistent_polarity_flipping,[],[f193]) ).
fof(f211,plain,
( c3_1(a76)
| hskp31 ),
inference(consistent_polarity_flipping,[],[f192]) ).
fof(f212,plain,
( ~ ndr1_0
| ~ hskp30 ),
inference(consistent_polarity_flipping,[],[f191]) ).
fof(f213,plain,
( ~ c0_1(a20)
| ~ hskp30 ),
inference(consistent_polarity_flipping,[],[f190]) ).
fof(f215,plain,
( ~ c1_1(a8)
| hskp29 ),
inference(consistent_polarity_flipping,[],[f186]) ).
fof(f216,plain,
( c2_1(a8)
| hskp29 ),
inference(consistent_polarity_flipping,[],[f185]) ).
fof(f217,plain,
( c3_1(a8)
| hskp29 ),
inference(consistent_polarity_flipping,[],[f184]) ).
fof(f219,plain,
( ~ c0_1(a2)
| ~ hskp28 ),
inference(consistent_polarity_flipping,[],[f182]) ).
fof(f220,plain,
( ~ c1_1(a2)
| ~ hskp28 ),
inference(consistent_polarity_flipping,[],[f181]) ).
fof(f225,plain,
( ~ ndr1_0
| hskp26 ),
inference(consistent_polarity_flipping,[],[f175]) ).
fof(f227,plain,
( c1_1(a57)
| hskp26 ),
inference(consistent_polarity_flipping,[],[f173]) ).
fof(f228,plain,
( ~ c3_1(a57)
| hskp26 ),
inference(consistent_polarity_flipping,[],[f172]) ).
fof(f234,plain,
( c0_1(a52)
| ~ hskp24 ),
inference(consistent_polarity_flipping,[],[f165]) ).
fof(f244,plain,
( c2_1(a39)
| hskp21 ),
inference(consistent_polarity_flipping,[],[f154]) ).
fof(f245,plain,
( c0_1(a39)
| hskp21 ),
inference(consistent_polarity_flipping,[],[f153]) ).
fof(f246,plain,
( ~ c3_1(a39)
| hskp21 ),
inference(consistent_polarity_flipping,[],[f152]) ).
fof(f249,plain,
( ~ c1_1(a36)
| ~ hskp20 ),
inference(consistent_polarity_flipping,[],[f149]) ).
fof(f251,plain,
( ~ c1_1(a35)
| ~ hskp19 ),
inference(consistent_polarity_flipping,[],[f146]) ).
fof(f252,plain,
( c0_1(a35)
| ~ hskp19 ),
inference(consistent_polarity_flipping,[],[f145]) ).
fof(f260,plain,
( c1_1(a30)
| ~ hskp16 ),
inference(consistent_polarity_flipping,[],[f132]) ).
fof(f262,plain,
( ~ c1_1(a29)
| ~ hskp15 ),
inference(consistent_polarity_flipping,[],[f130]) ).
fof(f264,plain,
( c2_1(a28)
| hskp14 ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f265,plain,
( c3_1(a28)
| hskp14 ),
inference(consistent_polarity_flipping,[],[f125]) ).
fof(f266,plain,
( c0_1(a28)
| hskp14 ),
inference(consistent_polarity_flipping,[],[f124]) ).
fof(f269,plain,
( c0_1(a26)
| hskp13 ),
inference(consistent_polarity_flipping,[],[f121]) ).
fof(f270,plain,
( c1_1(a26)
| hskp13 ),
inference(consistent_polarity_flipping,[],[f120]) ).
fof(f272,plain,
( ~ c1_1(a24)
| hskp12 ),
inference(consistent_polarity_flipping,[],[f118]) ).
fof(f273,plain,
( c3_1(a24)
| hskp12 ),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f274,plain,
( ~ c2_1(a24)
| hskp12 ),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f276,plain,
( ~ c0_1(a21)
| hskp11 ),
inference(consistent_polarity_flipping,[],[f114]) ).
fof(f277,plain,
( ~ c2_1(a21)
| hskp11 ),
inference(consistent_polarity_flipping,[],[f113]) ).
fof(f278,plain,
( ~ c3_1(a21)
| hskp11 ),
inference(consistent_polarity_flipping,[],[f112]) ).
fof(f280,plain,
( ~ c1_1(a17)
| hskp10 ),
inference(consistent_polarity_flipping,[],[f110]) ).
fof(f281,plain,
( c0_1(a17)
| hskp10 ),
inference(consistent_polarity_flipping,[],[f109]) ).
fof(f282,plain,
( ~ c2_1(a17)
| hskp10 ),
inference(consistent_polarity_flipping,[],[f108]) ).
fof(f288,plain,
( ~ c1_1(a13)
| hskp8 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f289,plain,
( c2_1(a13)
| hskp8 ),
inference(consistent_polarity_flipping,[],[f101]) ).
fof(f290,plain,
( c0_1(a13)
| hskp8 ),
inference(consistent_polarity_flipping,[],[f100]) ).
fof(f291,plain,
( ~ ndr1_0
| ~ hskp7 ),
inference(consistent_polarity_flipping,[],[f99]) ).
fof(f292,plain,
( ~ c0_1(a12)
| ~ hskp7 ),
inference(consistent_polarity_flipping,[],[f98]) ).
fof(f293,plain,
( ~ c1_1(a12)
| ~ hskp7 ),
inference(consistent_polarity_flipping,[],[f97]) ).
fof(f295,plain,
( c2_1(a10)
| hskp6 ),
inference(consistent_polarity_flipping,[],[f94]) ).
fof(f296,plain,
( c1_1(a10)
| hskp6 ),
inference(consistent_polarity_flipping,[],[f93]) ).
fof(f297,plain,
( ~ c3_1(a10)
| hskp6 ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f299,plain,
( c0_1(a9)
| ~ hskp5 ),
inference(consistent_polarity_flipping,[],[f90]) ).
fof(f300,plain,
( c1_1(a9)
| ~ hskp5 ),
inference(consistent_polarity_flipping,[],[f89]) ).
fof(f302,plain,
( ~ c1_1(a7)
| hskp4 ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f303,plain,
( c3_1(a7)
| hskp4 ),
inference(consistent_polarity_flipping,[],[f85]) ).
fof(f304,plain,
( c0_1(a7)
| hskp4 ),
inference(consistent_polarity_flipping,[],[f84]) ).
fof(f306,plain,
( ~ c0_1(a6)
| ~ hskp3 ),
inference(consistent_polarity_flipping,[],[f82]) ).
fof(f308,plain,
( c2_1(a5)
| hskp2 ),
inference(consistent_polarity_flipping,[],[f78]) ).
fof(f309,plain,
( c0_1(a5)
| hskp2 ),
inference(consistent_polarity_flipping,[],[f77]) ).
fof(f310,plain,
( c1_1(a5)
| hskp2 ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f312,plain,
( ~ c0_1(a4)
| ~ hskp1 ),
inference(consistent_polarity_flipping,[],[f74]) ).
fof(f313,plain,
( c1_1(a4)
| ~ hskp1 ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f317,plain,
! [X101] :
( ~ hskp2
| ~ hskp12
| ndr1_0
| ~ c3_1(X101)
| ~ c2_1(X101)
| c1_1(X101) ),
inference(consistent_polarity_flipping,[],[f67]) ).
fof(f320,plain,
! [X98] :
( ~ hskp31
| hskp28
| ndr1_0
| ~ c3_1(X98)
| ~ c2_1(X98)
| c0_1(X98) ),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f321,plain,
! [X97] :
( hskp24
| ~ hskp14
| ndr1_0
| ~ c3_1(X97)
| c1_1(X97)
| c0_1(X97) ),
inference(consistent_polarity_flipping,[],[f63]) ).
fof(f323,plain,
! [X95] :
( hskp19
| ~ hskp29
| ndr1_0
| ~ c3_1(X95)
| c1_1(X95)
| c0_1(X95) ),
inference(consistent_polarity_flipping,[],[f61]) ).
fof(f325,plain,
! [X92,X93] :
( ~ hskp21
| ~ c3_1(X93)
| ~ c2_1(X93)
| c0_1(X93)
| ndr1_0
| ~ c3_1(X92)
| c1_1(X92)
| c0_1(X92) ),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f328,plain,
! [X89] :
( hskp16
| ndr1_0
| ~ c3_1(X89)
| c1_1(X89)
| c2_1(X89) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f329,plain,
! [X88] :
( hskp7
| hskp28
| ndr1_0
| ~ c3_1(X88)
| c1_1(X88)
| c2_1(X88) ),
inference(consistent_polarity_flipping,[],[f55]) ).
fof(f331,plain,
! [X85] :
( ~ hskp26
| hskp28
| ndr1_0
| c1_1(X85)
| c0_1(X85)
| c2_1(X85) ),
inference(consistent_polarity_flipping,[],[f53]) ).
fof(f333,plain,
! [X82,X83] :
( ~ hskp12
| ~ c3_1(X83)
| ~ c2_1(X83)
| c0_1(X83)
| ndr1_0
| c1_1(X82)
| c3_1(X82)
| c2_1(X82) ),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f335,plain,
! [X80,X79] :
( hskp15
| c1_1(X80)
| c0_1(X80)
| c2_1(X80)
| ndr1_0
| ~ c3_1(X79)
| ~ c2_1(X79)
| ~ c1_1(X79) ),
inference(consistent_polarity_flipping,[],[f49]) ).
fof(f336,plain,
! [X78] :
( ~ hskp21
| ~ hskp8
| ndr1_0
| ~ c3_1(X78)
| c0_1(X78)
| ~ c1_1(X78) ),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f340,plain,
! [X70,X69] :
( ~ hskp2
| ~ c3_1(X70)
| c0_1(X70)
| ~ c1_1(X70)
| ndr1_0
| c0_1(X69)
| c3_1(X69)
| ~ c1_1(X69) ),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f344,plain,
! [X63,X64] :
( ~ hskp21
| c1_1(X64)
| c0_1(X64)
| c3_1(X64)
| ndr1_0
| c3_1(X63)
| c2_1(X63)
| ~ c1_1(X63) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f345,plain,
! [X62,X61] :
( ~ hskp8
| ~ c3_1(X62)
| ~ c2_1(X62)
| ~ c1_1(X62)
| ndr1_0
| c3_1(X61)
| c2_1(X61)
| ~ c1_1(X61) ),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f346,plain,
! [X58,X59,X60] :
( ~ c3_1(X60)
| ~ c2_1(X60)
| c0_1(X60)
| ~ c2_1(X59)
| c0_1(X59)
| ~ c1_1(X59)
| ndr1_0
| c3_1(X58)
| c2_1(X58)
| ~ c1_1(X58) ),
inference(consistent_polarity_flipping,[],[f38]) ).
fof(f347,plain,
! [X57] :
( ~ hskp4
| hskp20
| ndr1_0
| ~ c3_1(X57)
| ~ c2_1(X57)
| ~ c0_1(X57) ),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f348,plain,
! [X56] :
( hskp19
| ~ hskp11
| ndr1_0
| ~ c3_1(X56)
| c1_1(X56)
| ~ c0_1(X56) ),
inference(consistent_polarity_flipping,[],[f36]) ).
fof(f350,plain,
! [X54,X53] :
( hskp30
| c1_1(X54)
| c0_1(X54)
| c3_1(X54)
| ndr1_0
| ~ c2_1(X53)
| c1_1(X53)
| ~ c0_1(X53) ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f351,plain,
! [X50,X51,X52] :
( c0_1(X52)
| c3_1(X52)
| ~ c1_1(X52)
| ~ c3_1(X51)
| c1_1(X51)
| ~ c0_1(X51)
| ndr1_0
| ~ c2_1(X50)
| c1_1(X50)
| ~ c0_1(X50) ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f354,plain,
! [X46,X47] :
( ~ hskp13
| c1_1(X47)
| c3_1(X47)
| c2_1(X47)
| ndr1_0
| ~ c2_1(X46)
| c3_1(X46)
| ~ c0_1(X46) ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f355,plain,
! [X44,X45,X43] :
( c1_1(X45)
| c0_1(X45)
| c3_1(X45)
| c0_1(X44)
| c3_1(X44)
| c2_1(X44)
| ndr1_0
| ~ c2_1(X43)
| c3_1(X43)
| ~ c0_1(X43) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f356,plain,
! [X41,X42] :
( ~ hskp8
| ~ c3_1(X42)
| ~ c2_1(X42)
| ~ c1_1(X42)
| ndr1_0
| ~ c2_1(X41)
| c3_1(X41)
| ~ c0_1(X41) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f357,plain,
! [X40] :
( ~ hskp12
| ndr1_0
| c1_1(X40)
| c3_1(X40)
| ~ c0_1(X40) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f359,plain,
! [X38] :
( ~ hskp11
| hskp30
| ndr1_0
| ~ c3_1(X38)
| c2_1(X38)
| ~ c0_1(X38) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f360,plain,
! [X36,X37] :
( hskp5
| ~ c3_1(X37)
| c1_1(X37)
| c0_1(X37)
| ndr1_0
| ~ c3_1(X36)
| c2_1(X36)
| ~ c0_1(X36) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f361,plain,
! [X34,X35] :
( hskp5
| c1_1(X35)
| c0_1(X35)
| c3_1(X35)
| ndr1_0
| ~ c3_1(X34)
| c2_1(X34)
| ~ c0_1(X34) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f362,plain,
! [X32,X33] :
( ~ hskp10
| c0_1(X33)
| c3_1(X33)
| ~ c1_1(X33)
| ndr1_0
| ~ c3_1(X32)
| c2_1(X32)
| ~ c0_1(X32) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f364,plain,
! [X28,X29,X27] :
( ~ c3_1(X29)
| ~ c2_1(X29)
| c1_1(X29)
| ~ c2_1(X28)
| c1_1(X28)
| ~ c0_1(X28)
| ndr1_0
| ~ c3_1(X27)
| c2_1(X27)
| ~ c0_1(X27) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f366,plain,
! [X25] :
( ~ hskp8
| hskp7
| ndr1_0
| c1_1(X25)
| c2_1(X25)
| ~ c0_1(X25) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f367,plain,
! [X24,X23] :
( hskp28
| ~ c3_1(X24)
| ~ c2_1(X24)
| c0_1(X24)
| ndr1_0
| c1_1(X23)
| c2_1(X23)
| ~ c0_1(X23) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f368,plain,
! [X21,X22,X20] :
( ~ c3_1(X22)
| c1_1(X22)
| c0_1(X22)
| c1_1(X21)
| c0_1(X21)
| c3_1(X21)
| ndr1_0
| c1_1(X20)
| c2_1(X20)
| ~ c0_1(X20) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f369,plain,
! [X18,X19] :
( ~ hskp6
| c1_1(X19)
| c3_1(X19)
| ~ c0_1(X19)
| ndr1_0
| c1_1(X18)
| c2_1(X18)
| ~ c0_1(X18) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f371,plain,
! [X16,X15] :
( ~ hskp4
| ~ c3_1(X16)
| c2_1(X16)
| ~ c0_1(X16)
| ndr1_0
| c3_1(X15)
| c2_1(X15)
| ~ c0_1(X15) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f372,plain,
! [X14,X13] :
( hskp3
| c1_1(X14)
| c0_1(X14)
| c2_1(X14)
| ndr1_0
| ~ c3_1(X13)
| ~ c1_1(X13)
| ~ c0_1(X13) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f373,plain,
! [X10,X11,X12] :
( ~ c2_1(X12)
| c3_1(X12)
| ~ c0_1(X12)
| c1_1(X11)
| c2_1(X11)
| ~ c0_1(X11)
| ndr1_0
| ~ c2_1(X10)
| ~ c1_1(X10)
| ~ c0_1(X10) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f375,plain,
! [X6,X7] :
( hskp1
| ~ c3_1(X7)
| c2_1(X7)
| ~ c0_1(X7)
| ndr1_0
| c3_1(X6)
| ~ c1_1(X6)
| ~ c0_1(X6) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f378,plain,
! [X2,X0,X1] :
( ~ c3_1(X2)
| c1_1(X2)
| c2_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ndr1_0
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f380,definition,
( spl0_1
<=> ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f381,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f383,definition,
( spl0_2
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f387,definition,
( spl0_3
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f388,plain,
( ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f390,definition,
( spl0_4
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f391,plain,
( ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c1_1(X2) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f392,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f378,f390,f387,f383,f380]) ).
fof(f394,definition,
( spl0_5
<=> ! [X4] :
( ~ c2_1(X4)
| ~ c1_1(X4)
| c0_1(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f395,plain,
( ! [X4] :
( ~ c2_1(X4)
| ~ c1_1(X4)
| c0_1(X4) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f402,definition,
( spl0_7
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f407,definition,
( spl0_8
<=> ! [X6] :
( c3_1(X6)
| ~ c0_1(X6)
| ~ c1_1(X6) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f408,plain,
( ! [X6] :
( ~ c1_1(X6)
| ~ c0_1(X6)
| c3_1(X6) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f410,definition,
( spl0_9
<=> ! [X7] :
( ~ c3_1(X7)
| ~ c0_1(X7)
| c2_1(X7) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f411,plain,
( ! [X7] :
( c2_1(X7)
| ~ c0_1(X7)
| ~ c3_1(X7) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f413,definition,
( spl0_10
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f416,plain,
( spl0_8
| spl0_2
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f375,f413,f410,f383,f407]) ).
fof(f418,definition,
( spl0_11
<=> ! [X9] :
( c1_1(X9)
| c2_1(X9)
| c3_1(X9) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f419,plain,
( ! [X9] :
( c2_1(X9)
| c1_1(X9)
| c3_1(X9) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f421,definition,
( spl0_12
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f426,definition,
( spl0_13
<=> ! [X10] :
( ~ c2_1(X10)
| ~ c0_1(X10)
| ~ c1_1(X10) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f427,plain,
( ! [X10] :
( ~ c0_1(X10)
| ~ c2_1(X10)
| ~ c1_1(X10) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f429,definition,
( spl0_14
<=> ! [X11] :
( c1_1(X11)
| ~ c0_1(X11)
| c2_1(X11) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f430,plain,
( ! [X11] :
( ~ c0_1(X11)
| c1_1(X11)
| c2_1(X11) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f432,definition,
( spl0_15
<=> ! [X12] :
( ~ c2_1(X12)
| ~ c0_1(X12)
| c3_1(X12) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f433,plain,
( ! [X12] :
( ~ c0_1(X12)
| ~ c2_1(X12)
| c3_1(X12) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f434,plain,
( spl0_13
| spl0_2
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f373,f432,f429,f383,f426]) ).
fof(f436,definition,
( spl0_16
<=> ! [X13] :
( ~ c3_1(X13)
| ~ c0_1(X13)
| ~ c1_1(X13) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f437,plain,
( ! [X13] :
( ~ c0_1(X13)
| ~ c3_1(X13)
| ~ c1_1(X13) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f439,definition,
( spl0_17
<=> ! [X14] :
( c1_1(X14)
| c2_1(X14)
| c0_1(X14) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f440,plain,
( ! [X14] :
( c2_1(X14)
| c1_1(X14)
| c0_1(X14) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f442,definition,
( spl0_18
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f445,plain,
( spl0_16
| spl0_2
| spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f372,f442,f439,f383,f436]) ).
fof(f447,definition,
( spl0_19
<=> ! [X15] :
( c3_1(X15)
| ~ c0_1(X15)
| c2_1(X15) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f448,plain,
( ! [X15] :
( ~ c0_1(X15)
| c3_1(X15)
| c2_1(X15) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f450,definition,
( spl0_20
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f453,plain,
( spl0_19
| spl0_2
| spl0_9
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f371,f450,f410,f383,f447]) ).
fof(f455,definition,
( spl0_21
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f459,definition,
( spl0_22
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f464,definition,
( spl0_23
<=> ! [X19] :
( c1_1(X19)
| ~ c0_1(X19)
| c3_1(X19) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f465,plain,
( ! [X19] :
( c1_1(X19)
| ~ c0_1(X19)
| c3_1(X19) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f467,definition,
( spl0_24
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f470,plain,
( spl0_14
| spl0_2
| spl0_23
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f369,f467,f464,f383,f429]) ).
fof(f472,definition,
( spl0_25
<=> ! [X21] :
( c1_1(X21)
| c3_1(X21)
| c0_1(X21) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f473,plain,
( ! [X21] :
( c1_1(X21)
| c3_1(X21)
| c0_1(X21) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f475,definition,
( spl0_26
<=> ! [X22] :
( ~ c3_1(X22)
| c0_1(X22)
| c1_1(X22) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f476,plain,
( ! [X22] :
( c1_1(X22)
| c0_1(X22)
| ~ c3_1(X22) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f477,plain,
( spl0_14
| spl0_2
| spl0_25
| spl0_26 ),
inference(avatar_split_clause,[],[f368,f475,f472,f383,f429]) ).
fof(f479,definition,
( spl0_27
<=> ! [X24] :
( ~ c3_1(X24)
| c0_1(X24)
| ~ c2_1(X24) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f480,plain,
( ! [X24] :
( ~ c2_1(X24)
| c0_1(X24)
| ~ c3_1(X24) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f481,plain,
( spl0_14
| spl0_2
| spl0_27
| spl0_7 ),
inference(avatar_split_clause,[],[f367,f402,f479,f383,f429]) ).
fof(f483,definition,
( spl0_28
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f487,definition,
( spl0_29
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f490,plain,
( spl0_14
| spl0_2
| spl0_28
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f366,f487,f483,f383,f429]) ).
fof(f497,definition,
( spl0_31
<=> ! [X28] :
( ~ c2_1(X28)
| ~ c0_1(X28)
| c1_1(X28) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f498,plain,
( ! [X28] :
( ~ c2_1(X28)
| ~ c0_1(X28)
| c1_1(X28) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f500,definition,
( spl0_32
<=> ! [X29] :
( ~ c3_1(X29)
| c1_1(X29)
| ~ c2_1(X29) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f501,plain,
( ! [X29] :
( ~ c2_1(X29)
| c1_1(X29)
| ~ c3_1(X29) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f502,plain,
( spl0_9
| spl0_2
| spl0_31
| spl0_32 ),
inference(avatar_split_clause,[],[f364,f500,f497,f383,f410]) ).
fof(f504,definition,
( spl0_33
<=> ! [X31] :
( c0_1(X31)
| ~ c1_1(X31)
| c3_1(X31) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f505,plain,
( ! [X31] :
( ~ c1_1(X31)
| c0_1(X31)
| c3_1(X31) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f508,definition,
( spl0_34
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f511,plain,
( spl0_9
| spl0_2
| spl0_33
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f362,f508,f504,f383,f410]) ).
fof(f512,plain,
( spl0_9
| spl0_2
| spl0_25
| spl0_22 ),
inference(avatar_split_clause,[],[f361,f459,f472,f383,f410]) ).
fof(f513,plain,
( spl0_9
| spl0_2
| spl0_26
| spl0_22 ),
inference(avatar_split_clause,[],[f360,f459,f475,f383,f410]) ).
fof(f515,definition,
( spl0_35
<=> hskp30 ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f519,definition,
( spl0_36
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f522,plain,
( spl0_9
| spl0_2
| spl0_35
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f359,f519,f515,f383,f410]) ).
fof(f525,definition,
( spl0_37
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f528,plain,
( spl0_23
| spl0_2
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f357,f525,f383,f464]) ).
fof(f530,definition,
( spl0_38
<=> ! [X42] :
( ~ c3_1(X42)
| ~ c1_1(X42)
| ~ c2_1(X42) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f531,plain,
( ! [X42] :
( ~ c2_1(X42)
| ~ c1_1(X42)
| ~ c3_1(X42) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f532,plain,
( spl0_15
| spl0_2
| spl0_38
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f356,f487,f530,f383,f432]) ).
fof(f534,definition,
( spl0_39
<=> ! [X44] :
( c0_1(X44)
| c2_1(X44)
| c3_1(X44) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f535,plain,
( ! [X44] :
( c0_1(X44)
| c2_1(X44)
| c3_1(X44) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f536,plain,
( spl0_15
| spl0_2
| spl0_39
| spl0_25 ),
inference(avatar_split_clause,[],[f355,f472,f534,f383,f432]) ).
fof(f538,definition,
( spl0_40
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f541,plain,
( spl0_15
| spl0_2
| spl0_11
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f354,f538,f418,f383,f432]) ).
fof(f543,definition,
( spl0_41
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f548,definition,
( spl0_42
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f552,definition,
( spl0_43
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f557,definition,
( spl0_44
<=> ! [X51] :
( ~ c3_1(X51)
| ~ c0_1(X51)
| c1_1(X51) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f558,plain,
( ! [X51] :
( ~ c3_1(X51)
| ~ c0_1(X51)
| c1_1(X51) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f559,plain,
( spl0_31
| spl0_2
| spl0_44
| spl0_33 ),
inference(avatar_split_clause,[],[f351,f504,f557,f383,f497]) ).
fof(f560,plain,
( spl0_31
| spl0_2
| spl0_25
| spl0_35 ),
inference(avatar_split_clause,[],[f350,f515,f472,f383,f497]) ).
fof(f571,definition,
( spl0_47
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f574,plain,
( spl0_44
| spl0_2
| ~ spl0_36
| spl0_47 ),
inference(avatar_split_clause,[],[f348,f571,f519,f383,f557]) ).
fof(f576,definition,
( spl0_48
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f579,plain,
( spl0_3
| spl0_2
| spl0_48
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f347,f450,f576,f383,f387]) ).
fof(f581,definition,
( spl0_49
<=> ! [X58] :
( c3_1(X58)
| ~ c1_1(X58)
| c2_1(X58) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f582,plain,
( ! [X58] :
( c3_1(X58)
| ~ c1_1(X58)
| c2_1(X58) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f583,plain,
( spl0_49
| spl0_2
| spl0_5
| spl0_27 ),
inference(avatar_split_clause,[],[f346,f479,f394,f383,f581]) ).
fof(f584,plain,
( spl0_49
| spl0_2
| spl0_38
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f345,f487,f530,f383,f581]) ).
fof(f586,definition,
( spl0_50
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f589,plain,
( spl0_49
| spl0_2
| spl0_25
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f344,f586,f472,f383,f581]) ).
fof(f608,definition,
( spl0_55
<=> ! [X70] :
( ~ c3_1(X70)
| ~ c1_1(X70)
| c0_1(X70) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f609,plain,
( ! [X70] :
( ~ c3_1(X70)
| ~ c1_1(X70)
| c0_1(X70) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f610,plain,
( spl0_33
| spl0_2
| spl0_55
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f340,f421,f608,f383,f504]) ).
fof(f617,plain,
( spl0_55
| spl0_2
| ~ spl0_29
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f336,f586,f487,f383,f608]) ).
fof(f618,plain,
( spl0_38
| spl0_2
| spl0_17
| spl0_42 ),
inference(avatar_split_clause,[],[f335,f548,f439,f383,f530]) ).
fof(f620,definition,
( spl0_57
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f624,plain,
( spl0_11
| spl0_2
| spl0_27
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f333,f525,f479,f383,f418]) ).
fof(f631,definition,
( spl0_59
<=> hskp26 ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f634,plain,
( spl0_17
| spl0_2
| spl0_7
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f331,f631,f402,f383,f439]) ).
fof(f642,plain,
( spl0_4
| spl0_2
| spl0_7
| spl0_28 ),
inference(avatar_split_clause,[],[f329,f483,f402,f383,f390]) ).
fof(f643,plain,
( spl0_4
| spl0_2
| spl0_43 ),
inference(avatar_split_clause,[],[f328,f552,f383,f390]) ).
fof(f653,plain,
( spl0_26
| spl0_2
| spl0_27
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f325,f586,f479,f383,f475]) ).
fof(f655,plain,
( spl0_26
| spl0_2
| ~ spl0_21
| spl0_47 ),
inference(avatar_split_clause,[],[f323,f571,f455,f383,f475]) ).
fof(f657,plain,
( spl0_26
| spl0_2
| ~ spl0_41
| spl0_57 ),
inference(avatar_split_clause,[],[f321,f620,f543,f383,f475]) ).
fof(f659,definition,
( spl0_64
<=> hskp31 ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f662,plain,
( spl0_27
| spl0_2
| spl0_7
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f320,f659,f402,f383,f479]) ).
fof(f665,plain,
( spl0_32
| spl0_2
| ~ spl0_37
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f317,f421,f525,f383,f500]) ).
fof(f683,definition,
( spl0_68
<=> c1_1(a4) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f685,plain,
( c1_1(a4)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f686,plain,
( ~ spl0_10
| spl0_68 ),
inference(avatar_split_clause,[],[f313,f683,f413]) ).
fof(f688,definition,
( spl0_69
<=> c2_1(a4) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f690,plain,
( c2_1(a4)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f691,plain,
( ~ spl0_10
| spl0_69 ),
inference(avatar_split_clause,[],[f73,f688,f413]) ).
fof(f693,definition,
( spl0_70
<=> c0_1(a4) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f695,plain,
( ~ c0_1(a4)
| spl0_70 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f696,plain,
( ~ spl0_10
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f312,f693,f413]) ).
fof(f699,definition,
( spl0_71
<=> c1_1(a5) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f701,plain,
( c1_1(a5)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f702,plain,
( spl0_12
| spl0_71 ),
inference(avatar_split_clause,[],[f310,f699,f421]) ).
fof(f704,definition,
( spl0_72
<=> c0_1(a5) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f706,plain,
( c0_1(a5)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f707,plain,
( spl0_12
| spl0_72 ),
inference(avatar_split_clause,[],[f309,f704,f421]) ).
fof(f709,definition,
( spl0_73
<=> c2_1(a5) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f711,plain,
( c2_1(a5)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f712,plain,
( spl0_12
| spl0_73 ),
inference(avatar_split_clause,[],[f308,f709,f421]) ).
fof(f720,definition,
( spl0_75
<=> c3_1(a6) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f722,plain,
( c3_1(a6)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f723,plain,
( ~ spl0_18
| spl0_75 ),
inference(avatar_split_clause,[],[f81,f720,f442]) ).
fof(f725,definition,
( spl0_76
<=> c0_1(a6) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f727,plain,
( ~ c0_1(a6)
| spl0_76 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f728,plain,
( ~ spl0_18
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f306,f725,f442]) ).
fof(f731,definition,
( spl0_77
<=> c0_1(a7) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f733,plain,
( c0_1(a7)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f734,plain,
( spl0_20
| spl0_77 ),
inference(avatar_split_clause,[],[f304,f731,f450]) ).
fof(f736,definition,
( spl0_78
<=> c3_1(a7) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f738,plain,
( c3_1(a7)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f739,plain,
( spl0_20
| spl0_78 ),
inference(avatar_split_clause,[],[f303,f736,f450]) ).
fof(f741,definition,
( spl0_79
<=> c1_1(a7) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f743,plain,
( ~ c1_1(a7)
| spl0_79 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f744,plain,
( spl0_20
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f302,f741,f450]) ).
fof(f747,definition,
( spl0_80
<=> c2_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f749,plain,
( ~ c2_1(a9)
| spl0_80 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f750,plain,
( ~ spl0_22
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f88,f747,f459]) ).
fof(f752,definition,
( spl0_81
<=> c1_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f755,plain,
( ~ spl0_22
| spl0_81 ),
inference(avatar_split_clause,[],[f300,f752,f459]) ).
fof(f757,definition,
( spl0_82
<=> c0_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f759,plain,
( c0_1(a9)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f760,plain,
( ~ spl0_22
| spl0_82 ),
inference(avatar_split_clause,[],[f299,f757,f459]) ).
fof(f763,definition,
( spl0_83
<=> c3_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f765,plain,
( ~ c3_1(a10)
| spl0_83 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f766,plain,
( spl0_24
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f297,f763,f467]) ).
fof(f768,definition,
( spl0_84
<=> c1_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f770,plain,
( c1_1(a10)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f771,plain,
( spl0_24
| spl0_84 ),
inference(avatar_split_clause,[],[f296,f768,f467]) ).
fof(f773,definition,
( spl0_85
<=> c2_1(a10) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f776,plain,
( spl0_24
| spl0_85 ),
inference(avatar_split_clause,[],[f295,f773,f467]) ).
fof(f779,definition,
( spl0_86
<=> c3_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f782,plain,
( ~ spl0_28
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f96,f779,f483]) ).
fof(f784,definition,
( spl0_87
<=> c1_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f786,plain,
( ~ c1_1(a12)
| spl0_87 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f787,plain,
( ~ spl0_28
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f293,f784,f483]) ).
fof(f789,definition,
( spl0_88
<=> c0_1(a12) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f791,plain,
( ~ c0_1(a12)
| spl0_88 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f792,plain,
( ~ spl0_28
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f292,f789,f483]) ).
fof(f793,plain,
( ~ spl0_28
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f291,f383,f483]) ).
fof(f795,definition,
( spl0_89
<=> c0_1(a13) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f797,plain,
( c0_1(a13)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f798,plain,
( spl0_29
| spl0_89 ),
inference(avatar_split_clause,[],[f290,f795,f487]) ).
fof(f800,definition,
( spl0_90
<=> c2_1(a13) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f802,plain,
( c2_1(a13)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f803,plain,
( spl0_29
| spl0_90 ),
inference(avatar_split_clause,[],[f289,f800,f487]) ).
fof(f805,definition,
( spl0_91
<=> c1_1(a13) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f807,plain,
( ~ c1_1(a13)
| spl0_91 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f808,plain,
( spl0_29
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f288,f805,f487]) ).
fof(f827,definition,
( spl0_95
<=> c2_1(a17) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f830,plain,
( spl0_34
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f282,f827,f508]) ).
fof(f832,definition,
( spl0_96
<=> c0_1(a17) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f834,plain,
( c0_1(a17)
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f835,plain,
( spl0_34
| spl0_96 ),
inference(avatar_split_clause,[],[f281,f832,f508]) ).
fof(f837,definition,
( spl0_97
<=> c1_1(a17) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f839,plain,
( ~ c1_1(a17)
| spl0_97 ),
inference(avatar_component_clause,[],[f837]) ).
fof(f840,plain,
( spl0_34
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f280,f837,f508]) ).
fof(f843,definition,
( spl0_98
<=> c3_1(a21) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f845,plain,
( ~ c3_1(a21)
| spl0_98 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f846,plain,
( spl0_36
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f278,f843,f519]) ).
fof(f848,definition,
( spl0_99
<=> c2_1(a21) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f850,plain,
( ~ c2_1(a21)
| spl0_99 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f851,plain,
( spl0_36
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f277,f848,f519]) ).
fof(f853,definition,
( spl0_100
<=> c0_1(a21) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f855,plain,
( ~ c0_1(a21)
| spl0_100 ),
inference(avatar_component_clause,[],[f853]) ).
fof(f856,plain,
( spl0_36
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f276,f853,f519]) ).
fof(f859,definition,
( spl0_101
<=> c2_1(a24) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f861,plain,
( ~ c2_1(a24)
| spl0_101 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f862,plain,
( spl0_37
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f274,f859,f525]) ).
fof(f864,definition,
( spl0_102
<=> c3_1(a24) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f866,plain,
( c3_1(a24)
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f867,plain,
( spl0_37
| spl0_102 ),
inference(avatar_split_clause,[],[f273,f864,f525]) ).
fof(f869,definition,
( spl0_103
<=> c1_1(a24) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f871,plain,
( ~ c1_1(a24)
| spl0_103 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f872,plain,
( spl0_37
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f272,f869,f525]) ).
fof(f875,definition,
( spl0_104
<=> c1_1(a26) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f877,plain,
( c1_1(a26)
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f878,plain,
( spl0_40
| spl0_104 ),
inference(avatar_split_clause,[],[f270,f875,f538]) ).
fof(f880,definition,
( spl0_105
<=> c0_1(a26) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f882,plain,
( c0_1(a26)
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f883,plain,
( spl0_40
| spl0_105 ),
inference(avatar_split_clause,[],[f269,f880,f538]) ).
fof(f891,definition,
( spl0_107
<=> c0_1(a28) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f894,plain,
( spl0_41
| spl0_107 ),
inference(avatar_split_clause,[],[f266,f891,f543]) ).
fof(f896,definition,
( spl0_108
<=> c3_1(a28) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f898,plain,
( c3_1(a28)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f899,plain,
( spl0_41
| spl0_108 ),
inference(avatar_split_clause,[],[f265,f896,f543]) ).
fof(f901,definition,
( spl0_109
<=> c2_1(a28) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f904,plain,
( spl0_41
| spl0_109 ),
inference(avatar_split_clause,[],[f264,f901,f543]) ).
fof(f907,definition,
( spl0_110
<=> c3_1(a29) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f909,plain,
( ~ c3_1(a29)
| spl0_110 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f910,plain,
( ~ spl0_42
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f128,f907,f548]) ).
fof(f912,definition,
( spl0_111
<=> c2_1(a29) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f914,plain,
( ~ c2_1(a29)
| spl0_111 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f915,plain,
( ~ spl0_42
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f129,f912,f548]) ).
fof(f917,definition,
( spl0_112
<=> c1_1(a29) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f919,plain,
( ~ c1_1(a29)
| spl0_112 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f920,plain,
( ~ spl0_42
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f262,f917,f548]) ).
fof(f923,definition,
( spl0_113
<=> c1_1(a30) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f926,plain,
( ~ spl0_43
| spl0_113 ),
inference(avatar_split_clause,[],[f260,f923,f552]) ).
fof(f928,definition,
( spl0_114
<=> c3_1(a30) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f930,plain,
( c3_1(a30)
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f931,plain,
( ~ spl0_43
| spl0_114 ),
inference(avatar_split_clause,[],[f133,f928,f552]) ).
fof(f933,definition,
( spl0_115
<=> c2_1(a30) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f935,plain,
( c2_1(a30)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f936,plain,
( ~ spl0_43
| spl0_115 ),
inference(avatar_split_clause,[],[f134,f933,f552]) ).
fof(f971,definition,
( spl0_122
<=> c3_1(a35) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f974,plain,
( ~ spl0_47
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f144,f971,f571]) ).
fof(f976,definition,
( spl0_123
<=> c0_1(a35) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f978,plain,
( c0_1(a35)
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f979,plain,
( ~ spl0_47
| spl0_123 ),
inference(avatar_split_clause,[],[f252,f976,f571]) ).
fof(f981,definition,
( spl0_124
<=> c1_1(a35) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f983,plain,
( ~ c1_1(a35)
| spl0_124 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f984,plain,
( ~ spl0_47
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f251,f981,f571]) ).
fof(f987,definition,
( spl0_125
<=> c2_1(a36) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f989,plain,
( ~ c2_1(a36)
| spl0_125 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f990,plain,
( ~ spl0_48
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f148,f987,f576]) ).
fof(f992,definition,
( spl0_126
<=> c1_1(a36) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f994,plain,
( ~ c1_1(a36)
| spl0_126 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f995,plain,
( ~ spl0_48
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f249,f992,f576]) ).
fof(f1003,definition,
( spl0_128
<=> c3_1(a39) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f1005,plain,
( ~ c3_1(a39)
| spl0_128 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1006,plain,
( spl0_50
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f246,f1003,f586]) ).
fof(f1008,definition,
( spl0_129
<=> c0_1(a39) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f1010,plain,
( c0_1(a39)
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1011,plain,
( spl0_50
| spl0_129 ),
inference(avatar_split_clause,[],[f245,f1008,f586]) ).
fof(f1013,definition,
( spl0_130
<=> c2_1(a39) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f1015,plain,
( c2_1(a39)
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1016,plain,
( spl0_50
| spl0_130 ),
inference(avatar_split_clause,[],[f244,f1013,f586]) ).
fof(f1051,definition,
( spl0_137
<=> c2_1(a52) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f1053,plain,
( ~ c2_1(a52)
| spl0_137 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f1054,plain,
( ~ spl0_57
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f164,f1051,f620]) ).
fof(f1056,definition,
( spl0_138
<=> c0_1(a52) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f1058,plain,
( c0_1(a52)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1059,plain,
( ~ spl0_57
| spl0_138 ),
inference(avatar_split_clause,[],[f234,f1056,f620]) ).
fof(f1061,definition,
( spl0_139
<=> c3_1(a52) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f1063,plain,
( c3_1(a52)
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f1064,plain,
( ~ spl0_57
| spl0_139 ),
inference(avatar_split_clause,[],[f166,f1061,f620]) ).
fof(f1083,definition,
( spl0_143
<=> c3_1(a57) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f1086,plain,
( spl0_59
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f228,f1083,f631]) ).
fof(f1088,definition,
( spl0_144
<=> c1_1(a57) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f1090,plain,
( c1_1(a57)
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1091,plain,
( spl0_59
| spl0_144 ),
inference(avatar_split_clause,[],[f227,f1088,f631]) ).
fof(f1097,plain,
( spl0_59
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f225,f383,f631]) ).
fof(f1115,definition,
( spl0_149
<=> c2_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f1117,plain,
( c2_1(a2)
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f1118,plain,
( ~ spl0_7
| spl0_149 ),
inference(avatar_split_clause,[],[f180,f1115,f402]) ).
fof(f1120,definition,
( spl0_150
<=> c1_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f1122,plain,
( ~ c1_1(a2)
| spl0_150 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1123,plain,
( ~ spl0_7
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f220,f1120,f402]) ).
fof(f1125,definition,
( spl0_151
<=> c0_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f1128,plain,
( ~ spl0_7
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f219,f1125,f402]) ).
fof(f1131,definition,
( spl0_152
<=> c3_1(a8) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f1133,plain,
( c3_1(a8)
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f1131]) ).
fof(f1134,plain,
( spl0_21
| spl0_152 ),
inference(avatar_split_clause,[],[f217,f1131,f455]) ).
fof(f1136,definition,
( spl0_153
<=> c2_1(a8) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f1138,plain,
( c2_1(a8)
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1139,plain,
( spl0_21
| spl0_153 ),
inference(avatar_split_clause,[],[f216,f1136,f455]) ).
fof(f1141,definition,
( spl0_154
<=> c1_1(a8) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f1143,plain,
( ~ c1_1(a8)
| spl0_154 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1144,plain,
( spl0_21
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f215,f1141,f455]) ).
fof(f1147,definition,
( spl0_155
<=> c3_1(a20) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f1149,plain,
( c3_1(a20)
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f1147]) ).
fof(f1150,plain,
( ~ spl0_35
| spl0_155 ),
inference(avatar_split_clause,[],[f188,f1147,f515]) ).
fof(f1152,definition,
( spl0_156
<=> c2_1(a20) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f1154,plain,
( c2_1(a20)
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f1155,plain,
( ~ spl0_35
| spl0_156 ),
inference(avatar_split_clause,[],[f189,f1152,f515]) ).
fof(f1157,definition,
( spl0_157
<=> c0_1(a20) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f1159,plain,
( ~ c0_1(a20)
| spl0_157 ),
inference(avatar_component_clause,[],[f1157]) ).
fof(f1160,plain,
( ~ spl0_35
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f213,f1157,f515]) ).
fof(f1161,plain,
( ~ spl0_35
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f212,f383,f515]) ).
fof(f1163,definition,
( spl0_158
<=> c3_1(a76) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f1165,plain,
( c3_1(a76)
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f1163]) ).
fof(f1166,plain,
( spl0_64
| spl0_158 ),
inference(avatar_split_clause,[],[f211,f1163,f659]) ).
fof(f1168,definition,
( spl0_159
<=> c1_1(a76) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f1170,plain,
( ~ c1_1(a76)
| spl0_159 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1171,plain,
( spl0_64
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f210,f1168,f659]) ).
fof(f1173,definition,
( spl0_160
<=> c0_1(a76) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f1176,plain,
( spl0_64
| ~ spl0_160 ),
inference(avatar_split_clause,[],[f209,f1173,f659]) ).
fof(f1178,plain,
( ~ spl0_64
| ~ spl0_37
| spl0_57 ),
inference(avatar_split_clause,[],[f207,f620,f525,f659]) ).
fof(f1179,plain,
( spl0_28
| spl0_35
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f206,f631,f515,f483]) ).
fof(f1183,plain,
( ~ spl0_50
| spl0_57
| spl0_22 ),
inference(avatar_split_clause,[],[f202,f459,f620,f586]) ).
fof(f1187,plain,
( c2_1(a24)
| c1_1(a24)
| ~ spl0_4
| ~ spl0_102 ),
inference(resolution,[],[f391,f866]) ).
fof(f1192,plain,
( ~ c0_1(a30)
| ~ c2_1(a30)
| ~ spl0_3
| ~ spl0_114 ),
inference(resolution,[],[f930,f388]) ).
fof(f1194,definition,
( spl0_161
<=> c0_1(a30) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f1196,plain,
( ~ c0_1(a30)
| spl0_161 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f1198,plain,
( ! [X7] :
( ~ c3_1(X7)
| ~ c0_1(X7) )
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f411,f388]) ).
fof(f1208,plain,
( ! [X12] :
( ~ c2_1(X12)
| ~ c0_1(X12) )
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f433,f388]) ).
fof(f1223,plain,
( ! [X14] :
( c2_1(X14)
| c1_1(X14) )
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f440,f430]) ).
fof(f1228,plain,
( c1_1(a24)
| ~ spl0_14
| ~ spl0_17
| spl0_101 ),
inference(resolution,[],[f1223,f861]) ).
fof(f1229,plain,
( $false
| ~ spl0_14
| ~ spl0_17
| spl0_101
| spl0_103 ),
inference(forward_subsumption_resolution,[],[f1228,f871]) ).
fof(f1230,plain,
( ~ spl0_14
| ~ spl0_17
| spl0_101
| spl0_103 ),
inference(avatar_contradiction_clause,[],[f1229]) ).
fof(f1240,plain,
( c1_1(a21)
| c0_1(a21)
| ~ spl0_17
| spl0_99 ),
inference(resolution,[],[f440,f850]) ).
fof(f1241,plain,
( c1_1(a24)
| c0_1(a24)
| ~ spl0_17
| spl0_101 ),
inference(resolution,[],[f440,f861]) ).
fof(f1242,plain,
( c0_1(a24)
| ~ spl0_17
| spl0_101
| spl0_103 ),
inference(forward_subsumption_resolution,[],[f1241,f871]) ).
fof(f1251,plain,
( ! [X58] :
( c2_1(X58)
| c3_1(X58) )
| ~ spl0_11
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f582,f419]) ).
fof(f1257,plain,
( c3_1(a21)
| ~ spl0_11
| ~ spl0_49
| spl0_99 ),
inference(resolution,[],[f1251,f850]) ).
fof(f1264,plain,
( c1_1(a21)
| ~ spl0_17
| spl0_99
| spl0_100 ),
inference(forward_subsumption_resolution,[],[f1240,f855]) ).
fof(f1282,definition,
( spl0_162
<=> c1_1(a52) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f1284,plain,
( c1_1(a52)
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f1298,definition,
( spl0_163
<=> c3_1(a9) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f1299,plain,
( ~ c3_1(a9)
| spl0_163 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1310,definition,
( spl0_164
<=> c0_1(a24) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f1338,plain,
( ~ c0_1(a13)
| ~ spl0_3
| ~ spl0_15
| ~ spl0_90 ),
inference(resolution,[],[f802,f1208]) ).
fof(f1343,plain,
( ! [X22] :
( c1_1(X22)
| ~ c3_1(X22) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f476,f1198]) ).
fof(f1357,plain,
( ~ c0_1(a28)
| ~ c2_1(a28)
| ~ spl0_3
| ~ spl0_108 ),
inference(resolution,[],[f898,f388]) ).
fof(f1364,plain,
( spl0_98
| ~ spl0_11
| ~ spl0_49
| spl0_99 ),
inference(avatar_split_clause,[],[f1257,f848,f581,f418,f843]) ).
fof(f1396,plain,
( ~ c3_1(a24)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_26
| spl0_103 ),
inference(resolution,[],[f871,f1343]) ).
fof(f1397,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_26
| ~ spl0_102
| spl0_103 ),
inference(forward_subsumption_resolution,[],[f1396,f866]) ).
fof(f1398,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_26
| ~ spl0_102
| spl0_103 ),
inference(avatar_contradiction_clause,[],[f1397]) ).
fof(f1402,plain,
( ~ spl0_109
| ~ spl0_107
| ~ spl0_3
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1357,f896,f387,f891,f901]) ).
fof(f1403,plain,
( ~ c0_1(a7)
| ~ c2_1(a7)
| ~ spl0_3
| ~ spl0_78 ),
inference(resolution,[],[f738,f388]) ).
fof(f1404,plain,
( ~ c2_1(a7)
| ~ spl0_3
| ~ spl0_77
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f1403,f733]) ).
fof(f1416,plain,
( c1_1(a7)
| c2_1(a7)
| ~ spl0_14
| ~ spl0_77 ),
inference(resolution,[],[f430,f733]) ).
fof(f1420,plain,
( c1_1(a35)
| c2_1(a35)
| ~ spl0_14
| ~ spl0_123 ),
inference(resolution,[],[f430,f978]) ).
fof(f1421,plain,
( c1_1(a52)
| c2_1(a52)
| ~ spl0_14
| ~ spl0_138 ),
inference(resolution,[],[f430,f1058]) ).
fof(f1423,plain,
( c2_1(a35)
| ~ spl0_14
| ~ spl0_123
| spl0_124 ),
inference(forward_subsumption_resolution,[],[f1420,f983]) ).
fof(f1431,plain,
( ~ c3_1(a52)
| ~ c1_1(a52)
| ~ spl0_16
| ~ spl0_138 ),
inference(resolution,[],[f437,f1058]) ).
fof(f1433,plain,
( ~ c1_1(a52)
| ~ spl0_16
| ~ spl0_138
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f1431,f1063]) ).
fof(f1437,plain,
( $false
| ~ spl0_16
| ~ spl0_138
| ~ spl0_139
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f1433,f1284]) ).
fof(f1438,plain,
( ~ spl0_16
| ~ spl0_138
| ~ spl0_139
| ~ spl0_162 ),
inference(avatar_contradiction_clause,[],[f1437]) ).
fof(f1451,definition,
( spl0_165
<=> c2_1(a35) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
fof(f1456,plain,
( ! [X21] :
( c1_1(X21)
| c3_1(X21) )
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f473,f465]) ).
fof(f1459,plain,
( c3_1(a2)
| ~ spl0_23
| ~ spl0_25
| spl0_150 ),
inference(resolution,[],[f1456,f1122]) ).
fof(f1476,plain,
( ! [X24] :
( ~ c2_1(X24)
| ~ c3_1(X24) )
| ~ spl0_3
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f480,f388]) ).
fof(f1485,plain,
( ~ c3_1(a8)
| ~ spl0_3
| ~ spl0_27
| ~ spl0_153 ),
inference(resolution,[],[f1476,f1138]) ).
fof(f1493,plain,
( ! [X2] :
( c2_1(X2)
| c1_1(X2) )
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f391,f419]) ).
fof(f1501,definition,
( spl0_166
<=> c1_1(a21) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1503,plain,
( c1_1(a21)
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f1501]) ).
fof(f1507,plain,
( c1_1(a29)
| c3_1(a29)
| ~ spl0_11
| spl0_111 ),
inference(resolution,[],[f914,f419]) ).
fof(f1508,plain,
( c1_1(a29)
| ~ spl0_11
| spl0_110
| spl0_111 ),
inference(forward_subsumption_resolution,[],[f1507,f909]) ).
fof(f1509,plain,
( spl0_112
| ~ spl0_11
| spl0_110
| spl0_111 ),
inference(avatar_split_clause,[],[f1508,f912,f907,f418,f917]) ).
fof(f1521,plain,
( c1_1(a21)
| ~ spl0_4
| ~ spl0_11
| spl0_99 ),
inference(resolution,[],[f1493,f850]) ).
fof(f1525,plain,
( spl0_166
| ~ spl0_4
| ~ spl0_11
| spl0_99 ),
inference(avatar_split_clause,[],[f1521,f848,f418,f390,f1501]) ).
fof(f1537,plain,
( ~ c1_1(a20)
| c0_1(a20)
| ~ spl0_5
| ~ spl0_156 ),
inference(resolution,[],[f395,f1154]) ).
fof(f1538,plain,
( ~ c1_1(a20)
| ~ spl0_5
| ~ spl0_156
| spl0_157 ),
inference(forward_subsumption_resolution,[],[f1537,f1159]) ).
fof(f1552,plain,
( ! [X58] :
( c2_1(X58)
| c3_1(X58) )
| ~ spl0_23
| ~ spl0_25
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f582,f1456]) ).
fof(f1566,plain,
( ! [X28] :
( c1_1(X28)
| ~ c0_1(X28) )
| ~ spl0_4
| ~ spl0_11
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f498,f1493]) ).
fof(f1567,plain,
( ~ c0_1(a7)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_31
| spl0_79 ),
inference(resolution,[],[f1566,f743]) ).
fof(f1574,plain,
( $false
| ~ spl0_4
| ~ spl0_11
| ~ spl0_31
| ~ spl0_77
| spl0_79 ),
inference(forward_subsumption_resolution,[],[f1567,f733]) ).
fof(f1575,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_31
| ~ spl0_77
| spl0_79 ),
inference(avatar_contradiction_clause,[],[f1574]) ).
fof(f1590,plain,
( ! [X29] :
( ~ c2_1(X29)
| c1_1(X29) )
| ~ spl0_23
| ~ spl0_25
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f501,f1456]) ).
fof(f1604,plain,
( ! [X29] :
( c1_1(X29)
| ~ c3_1(X29) )
| ~ spl0_4
| ~ spl0_11
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f501,f1493]) ).
fof(f1610,plain,
( ~ c3_1(a76)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_32
| spl0_159 ),
inference(resolution,[],[f1604,f1170]) ).
fof(f1611,plain,
( $false
| ~ spl0_4
| ~ spl0_11
| ~ spl0_32
| ~ spl0_158
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f1610,f1165]) ).
fof(f1612,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_32
| ~ spl0_158
| spl0_159 ),
inference(avatar_contradiction_clause,[],[f1611]) ).
fof(f1657,plain,
( c0_1(a4)
| c3_1(a4)
| ~ spl0_33
| ~ spl0_68 ),
inference(resolution,[],[f505,f685]) ).
fof(f1662,plain,
( c0_1(a10)
| c3_1(a10)
| ~ spl0_33
| ~ spl0_84 ),
inference(resolution,[],[f505,f770]) ).
fof(f1673,plain,
( c0_1(a10)
| ~ spl0_33
| spl0_83
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f1662,f765]) ).
fof(f1674,plain,
( c3_1(a4)
| ~ spl0_33
| ~ spl0_68
| spl0_70 ),
inference(forward_subsumption_resolution,[],[f1657,f695]) ).
fof(f1678,plain,
( ~ c1_1(a4)
| ~ c3_1(a4)
| ~ spl0_38
| ~ spl0_69 ),
inference(resolution,[],[f531,f690]) ).
fof(f1679,plain,
( ~ c1_1(a5)
| ~ c3_1(a5)
| ~ spl0_38
| ~ spl0_73 ),
inference(resolution,[],[f531,f711]) ).
fof(f1683,plain,
( ~ c1_1(a30)
| ~ c3_1(a30)
| ~ spl0_38
| ~ spl0_115 ),
inference(resolution,[],[f531,f935]) ).
fof(f1689,plain,
( ~ c1_1(a20)
| ~ c3_1(a20)
| ~ spl0_38
| ~ spl0_156 ),
inference(resolution,[],[f531,f1154]) ).
fof(f1690,plain,
( ~ c1_1(a20)
| ~ spl0_38
| ~ spl0_155
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f1689,f1149]) ).
fof(f1693,plain,
( ~ c3_1(a5)
| ~ spl0_38
| ~ spl0_71
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f1679,f701]) ).
fof(f1699,plain,
( spl0_166
| ~ spl0_17
| spl0_99
| spl0_100 ),
inference(avatar_split_clause,[],[f1264,f853,f848,f439,f1501]) ).
fof(f1702,plain,
( ~ c0_1(a13)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_31
| spl0_91 ),
inference(resolution,[],[f807,f1566]) ).
fof(f1718,plain,
( ~ c0_1(a13)
| c3_1(a13)
| ~ spl0_23
| spl0_91 ),
inference(resolution,[],[f465,f807]) ).
fof(f1725,plain,
( c3_1(a13)
| ~ spl0_23
| ~ spl0_89
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f1718,f797]) ).
fof(f1733,plain,
( c0_1(a21)
| c3_1(a21)
| ~ spl0_33
| ~ spl0_166 ),
inference(resolution,[],[f1503,f505]) ).
fof(f1734,plain,
( ! [X29] :
( c1_1(X29)
| ~ c3_1(X29) )
| ~ spl0_14
| ~ spl0_17
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f501,f1223]) ).
fof(f1737,plain,
( ~ c3_1(a24)
| ~ spl0_14
| ~ spl0_17
| ~ spl0_32
| spl0_103 ),
inference(resolution,[],[f1734,f871]) ).
fof(f1748,plain,
( $false
| ~ spl0_14
| ~ spl0_17
| ~ spl0_32
| ~ spl0_102
| spl0_103 ),
inference(forward_subsumption_resolution,[],[f1737,f866]) ).
fof(f1749,plain,
( ~ spl0_14
| ~ spl0_17
| ~ spl0_32
| ~ spl0_102
| spl0_103 ),
inference(avatar_contradiction_clause,[],[f1748]) ).
fof(f1772,plain,
( c1_1(a2)
| ~ spl0_23
| ~ spl0_25
| ~ spl0_32
| ~ spl0_149 ),
inference(resolution,[],[f1590,f1117]) ).
fof(f1798,plain,
( ~ c2_1(a5)
| ~ c1_1(a5)
| ~ spl0_13
| ~ spl0_72 ),
inference(resolution,[],[f427,f706]) ).
fof(f1801,plain,
( ~ c2_1(a10)
| ~ c1_1(a10)
| ~ spl0_13
| ~ spl0_33
| spl0_83
| ~ spl0_84 ),
inference(resolution,[],[f427,f1673]) ).
fof(f1811,plain,
( ~ c1_1(a5)
| ~ spl0_13
| ~ spl0_72
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f1798,f711]) ).
fof(f1829,plain,
( ~ c2_1(a10)
| ~ spl0_13
| ~ spl0_33
| spl0_83
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f1801,f770]) ).
fof(f1832,plain,
( ~ spl0_71
| ~ spl0_13
| ~ spl0_72
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1811,f709,f704,f426,f699]) ).
fof(f1836,plain,
( spl0_164
| ~ spl0_17
| spl0_101
| spl0_103 ),
inference(avatar_split_clause,[],[f1242,f869,f859,f439,f1310]) ).
fof(f1839,plain,
( ~ spl0_85
| ~ spl0_13
| ~ spl0_33
| spl0_83
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1829,f768,f763,f504,f426,f773]) ).
fof(f1850,definition,
( spl0_170
<=> c3_1(a17) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
fof(f1852,plain,
( c3_1(a17)
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f1850]) ).
fof(f1855,plain,
( ~ c0_1(a17)
| c3_1(a17)
| ~ spl0_23
| spl0_97 ),
inference(resolution,[],[f839,f465]) ).
fof(f1856,plain,
( c3_1(a17)
| ~ spl0_23
| ~ spl0_96
| spl0_97 ),
inference(forward_subsumption_resolution,[],[f1855,f834]) ).
fof(f1857,plain,
( spl0_170
| ~ spl0_23
| ~ spl0_96
| spl0_97 ),
inference(avatar_split_clause,[],[f1856,f837,f832,f464,f1850]) ).
fof(f1874,plain,
( ! [X31] :
( c3_1(X31)
| c0_1(X31) )
| ~ spl0_23
| ~ spl0_25
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f505,f1456]) ).
fof(f1931,plain,
( ! [X28] :
( ~ c0_1(X28)
| ~ c2_1(X28) )
| ~ spl0_13
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f498,f427]) ).
fof(f1935,plain,
( ~ c2_1(a13)
| ~ spl0_13
| ~ spl0_31
| ~ spl0_89 ),
inference(resolution,[],[f1931,f797]) ).
fof(f1941,plain,
( ~ c2_1(a39)
| ~ spl0_13
| ~ spl0_31
| ~ spl0_129 ),
inference(resolution,[],[f1931,f1010]) ).
fof(f1944,plain,
( $false
| ~ spl0_13
| ~ spl0_31
| ~ spl0_129
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f1941,f1015]) ).
fof(f1945,plain,
( ~ spl0_13
| ~ spl0_31
| ~ spl0_129
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f1944]) ).
fof(f1948,plain,
( $false
| ~ spl0_13
| ~ spl0_31
| ~ spl0_89
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f1935,f802]) ).
fof(f1949,plain,
( ~ spl0_13
| ~ spl0_31
| ~ spl0_89
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f1948]) ).
fof(f1956,plain,
( $false
| ~ spl0_3
| ~ spl0_15
| ~ spl0_89
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f1338,f797]) ).
fof(f1957,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_89
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f1956]) ).
fof(f1964,plain,
( ~ spl0_89
| ~ spl0_4
| ~ spl0_11
| ~ spl0_31
| spl0_91 ),
inference(avatar_split_clause,[],[f1702,f805,f497,f418,f390,f795]) ).
fof(f1976,plain,
( ~ spl0_152
| ~ spl0_3
| ~ spl0_27
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f1485,f1136,f479,f387,f1131]) ).
fof(f1982,plain,
( spl0_150
| ~ spl0_23
| ~ spl0_25
| ~ spl0_32
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1772,f1115,f500,f472,f464,f1120]) ).
fof(f1988,definition,
( spl0_173
<=> c3_1(a2) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
fof(f2008,plain,
( c0_1(a21)
| ~ spl0_23
| ~ spl0_25
| ~ spl0_33
| spl0_98 ),
inference(resolution,[],[f845,f1874]) ).
fof(f2009,plain,
( $false
| ~ spl0_23
| ~ spl0_25
| ~ spl0_33
| spl0_98
| spl0_100 ),
inference(forward_subsumption_resolution,[],[f2008,f855]) ).
fof(f2010,plain,
( ~ spl0_23
| ~ spl0_25
| ~ spl0_33
| spl0_98
| spl0_100 ),
inference(avatar_contradiction_clause,[],[f2009]) ).
fof(f2017,definition,
( spl0_174
<=> c3_1(a13) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
fof(f2124,plain,
( spl0_174
| ~ spl0_23
| ~ spl0_89
| spl0_91 ),
inference(avatar_split_clause,[],[f1725,f805,f795,f464,f2017]) ).
fof(f2189,plain,
( ! [X51] :
( c1_1(X51)
| ~ c0_1(X51) )
| ~ spl0_23
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f558,f465]) ).
fof(f2192,plain,
( ~ c0_1(a7)
| ~ spl0_23
| ~ spl0_44
| spl0_79 ),
inference(resolution,[],[f2189,f743]) ).
fof(f2194,plain,
( ~ c0_1(a13)
| ~ spl0_23
| ~ spl0_44
| spl0_91 ),
inference(resolution,[],[f2189,f807]) ).
fof(f2203,plain,
( $false
| ~ spl0_23
| ~ spl0_44
| ~ spl0_89
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f2194,f797]) ).
fof(f2204,plain,
( ~ spl0_23
| ~ spl0_44
| ~ spl0_89
| spl0_91 ),
inference(avatar_contradiction_clause,[],[f2203]) ).
fof(f2205,plain,
( $false
| ~ spl0_23
| ~ spl0_44
| ~ spl0_77
| spl0_79 ),
inference(forward_subsumption_resolution,[],[f2192,f733]) ).
fof(f2206,plain,
( ~ spl0_23
| ~ spl0_44
| ~ spl0_77
| spl0_79 ),
inference(avatar_contradiction_clause,[],[f2205]) ).
fof(f2276,plain,
( c1_1(a2)
| ~ c3_1(a2)
| ~ spl0_32
| ~ spl0_149 ),
inference(resolution,[],[f501,f1117]) ).
fof(f2277,plain,
( c1_1(a8)
| ~ c3_1(a8)
| ~ spl0_32
| ~ spl0_153 ),
inference(resolution,[],[f501,f1138]) ).
fof(f2278,plain,
( c1_1(a20)
| ~ c3_1(a20)
| ~ spl0_32
| ~ spl0_156 ),
inference(resolution,[],[f501,f1154]) ).
fof(f2281,plain,
( c1_1(a20)
| ~ spl0_32
| ~ spl0_155
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f2278,f1149]) ).
fof(f2282,plain,
( ~ c3_1(a2)
| ~ spl0_32
| ~ spl0_149
| spl0_150 ),
inference(forward_subsumption_resolution,[],[f2276,f1122]) ).
fof(f2284,plain,
( ~ spl0_173
| ~ spl0_32
| ~ spl0_149
| spl0_150 ),
inference(avatar_split_clause,[],[f2282,f1120,f1115,f500,f1988]) ).
fof(f2370,plain,
( ! [X70] :
( ~ c3_1(X70)
| c0_1(X70) )
| ~ spl0_26
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f609,f476]) ).
fof(f2372,plain,
( c0_1(a4)
| ~ spl0_26
| ~ spl0_33
| ~ spl0_55
| ~ spl0_68
| spl0_70 ),
inference(resolution,[],[f2370,f1674]) ).
fof(f2373,plain,
( c0_1(a6)
| ~ spl0_26
| ~ spl0_55
| ~ spl0_75 ),
inference(resolution,[],[f2370,f722]) ).
fof(f2382,plain,
( c0_1(a30)
| ~ spl0_26
| ~ spl0_55
| ~ spl0_114 ),
inference(resolution,[],[f2370,f930]) ).
fof(f2391,plain,
( c0_1(a20)
| ~ spl0_26
| ~ spl0_55
| ~ spl0_155 ),
inference(resolution,[],[f2370,f1149]) ).
fof(f2395,plain,
( $false
| ~ spl0_26
| ~ spl0_55
| ~ spl0_155
| spl0_157 ),
inference(forward_subsumption_resolution,[],[f2391,f1159]) ).
fof(f2396,plain,
( ~ spl0_26
| ~ spl0_55
| ~ spl0_155
| spl0_157 ),
inference(avatar_contradiction_clause,[],[f2395]) ).
fof(f2405,plain,
( $false
| ~ spl0_26
| ~ spl0_55
| ~ spl0_114
| spl0_161 ),
inference(forward_subsumption_resolution,[],[f2382,f1196]) ).
fof(f2406,plain,
( ~ spl0_26
| ~ spl0_55
| ~ spl0_114
| spl0_161 ),
inference(avatar_contradiction_clause,[],[f2405]) ).
fof(f2409,plain,
( $false
| ~ spl0_26
| ~ spl0_55
| ~ spl0_75
| spl0_76 ),
inference(forward_subsumption_resolution,[],[f2373,f727]) ).
fof(f2410,plain,
( ~ spl0_26
| ~ spl0_55
| ~ spl0_75
| spl0_76 ),
inference(avatar_contradiction_clause,[],[f2409]) ).
fof(f2411,plain,
( $false
| ~ spl0_26
| ~ spl0_33
| ~ spl0_55
| ~ spl0_68
| spl0_70 ),
inference(forward_subsumption_resolution,[],[f2372,f695]) ).
fof(f2412,plain,
( ~ spl0_26
| ~ spl0_33
| ~ spl0_55
| ~ spl0_68
| spl0_70 ),
inference(avatar_contradiction_clause,[],[f2411]) ).
fof(f2434,definition,
( spl0_176
<=> c0_1(a29) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
fof(f2480,plain,
( c1_1(a17)
| c2_1(a17)
| ~ spl0_14
| ~ spl0_96 ),
inference(resolution,[],[f430,f834]) ).
fof(f2500,plain,
( ! [X28] :
( c1_1(X28)
| ~ c0_1(X28) )
| ~ spl0_14
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f498,f430]) ).
fof(f2543,plain,
( ! [X44] :
( c2_1(X44)
| c3_1(X44) )
| ~ spl0_19
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f535,f448]) ).
fof(f2555,plain,
( c3_1(a21)
| ~ spl0_19
| ~ spl0_39
| spl0_99 ),
inference(resolution,[],[f2543,f850]) ).
fof(f2558,plain,
( c3_1(a29)
| ~ spl0_19
| ~ spl0_39
| spl0_111 ),
inference(resolution,[],[f2543,f914]) ).
fof(f2564,plain,
( $false
| ~ spl0_19
| ~ spl0_39
| spl0_110
| spl0_111 ),
inference(forward_subsumption_resolution,[],[f2558,f909]) ).
fof(f2565,plain,
( ~ spl0_19
| ~ spl0_39
| spl0_110
| spl0_111 ),
inference(avatar_contradiction_clause,[],[f2564]) ).
fof(f2566,plain,
( $false
| ~ spl0_19
| ~ spl0_39
| spl0_98
| spl0_99 ),
inference(forward_subsumption_resolution,[],[f2555,f845]) ).
fof(f2567,plain,
( ~ spl0_19
| ~ spl0_39
| spl0_98
| spl0_99 ),
inference(avatar_contradiction_clause,[],[f2566]) ).
fof(f2571,plain,
( c1_1(a7)
| ~ spl0_3
| ~ spl0_14
| ~ spl0_77
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f1416,f1404]) ).
fof(f2573,plain,
( spl0_79
| ~ spl0_3
| ~ spl0_14
| ~ spl0_77
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f2571,f736,f731,f429,f387,f741]) ).
fof(f2574,plain,
( ! [X6] :
( ~ c1_1(X6)
| c3_1(X6) )
| ~ spl0_8
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f408,f505]) ).
fof(f2595,definition,
( spl0_177
<=> c3_1(a5) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
fof(f2612,plain,
( c1_1(a13)
| ~ c3_1(a13)
| ~ spl0_32
| ~ spl0_90 ),
inference(resolution,[],[f802,f501]) ).
fof(f2621,definition,
( spl0_178
<=> c0_1(a8) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
fof(f2626,definition,
( spl0_179
<=> c1_1(a20) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
fof(f2630,plain,
( ~ spl0_179
| ~ spl0_5
| ~ spl0_156
| spl0_157 ),
inference(avatar_split_clause,[],[f1538,f1157,f1152,f394,f2626]) ).
fof(f2646,plain,
( ~ c3_1(a4)
| ~ spl0_38
| ~ spl0_68
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f1678,f685]) ).
fof(f2652,plain,
( ~ spl0_179
| ~ spl0_38
| ~ spl0_155
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f1690,f1152,f1147,f530,f2626]) ).
fof(f2654,plain,
( ~ spl0_177
| ~ spl0_38
| ~ spl0_71
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1693,f709,f699,f530,f2595]) ).
fof(f2663,plain,
( c0_1(a21)
| ~ spl0_33
| spl0_98
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f1733,f845]) ).
fof(f2666,definition,
( spl0_181
<=> c3_1(a4) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
fof(f2672,plain,
( ~ spl0_181
| ~ spl0_38
| ~ spl0_68
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f2646,f688,f683,f530,f2666]) ).
fof(f2674,plain,
( spl0_100
| ~ spl0_33
| spl0_98
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f2663,f1501,f843,f504,f853]) ).
fof(f2714,plain,
( c1_1(a36)
| ~ spl0_4
| ~ spl0_11
| spl0_125 ),
inference(resolution,[],[f1493,f989]) ).
fof(f2717,plain,
( $false
| ~ spl0_4
| ~ spl0_11
| spl0_125
| spl0_126 ),
inference(forward_subsumption_resolution,[],[f2714,f994]) ).
fof(f2718,plain,
( ~ spl0_4
| ~ spl0_11
| spl0_125
| spl0_126 ),
inference(avatar_contradiction_clause,[],[f2717]) ).
fof(f2740,plain,
( c1_1(a36)
| ~ spl0_14
| ~ spl0_17
| spl0_125 ),
inference(resolution,[],[f1223,f989]) ).
fof(f2743,plain,
( $false
| ~ spl0_14
| ~ spl0_17
| spl0_125
| spl0_126 ),
inference(forward_subsumption_resolution,[],[f2740,f994]) ).
fof(f2744,plain,
( ~ spl0_14
| ~ spl0_17
| spl0_125
| spl0_126 ),
inference(avatar_contradiction_clause,[],[f2743]) ).
fof(f2752,plain,
( ! [X6] :
( c3_1(X6)
| ~ c0_1(X6) )
| ~ spl0_8
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f408,f465]) ).
fof(f2757,plain,
( ~ c0_1(a7)
| ~ spl0_14
| ~ spl0_31
| spl0_79 ),
inference(resolution,[],[f2500,f743]) ).
fof(f2763,plain,
( ~ c0_1(a8)
| ~ spl0_14
| ~ spl0_31
| spl0_154 ),
inference(resolution,[],[f2500,f1143]) ).
fof(f2764,plain,
( ~ spl0_178
| ~ spl0_14
| ~ spl0_31
| spl0_154 ),
inference(avatar_split_clause,[],[f2763,f1141,f497,f429,f2621]) ).
fof(f2767,plain,
( $false
| ~ spl0_14
| ~ spl0_31
| ~ spl0_77
| spl0_79 ),
inference(forward_subsumption_resolution,[],[f2757,f733]) ).
fof(f2768,plain,
( ~ spl0_14
| ~ spl0_31
| ~ spl0_77
| spl0_79 ),
inference(avatar_contradiction_clause,[],[f2767]) ).
fof(f2779,plain,
( ~ c0_1(a39)
| ~ spl0_8
| ~ spl0_23
| spl0_128 ),
inference(resolution,[],[f2752,f1005]) ).
fof(f2784,plain,
( $false
| ~ spl0_8
| ~ spl0_23
| spl0_128
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f2779,f1010]) ).
fof(f2785,plain,
( ~ spl0_8
| ~ spl0_23
| spl0_128
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[],[f2784]) ).
fof(f2848,plain,
( ~ c0_1(a35)
| c3_1(a35)
| ~ spl0_23
| spl0_124 ),
inference(resolution,[],[f983,f465]) ).
fof(f2856,plain,
( ~ c0_1(a9)
| ~ c3_1(a9)
| ~ spl0_9
| spl0_80 ),
inference(resolution,[],[f411,f749]) ).
fof(f2864,plain,
( ~ c0_1(a52)
| ~ c3_1(a52)
| ~ spl0_9
| spl0_137 ),
inference(resolution,[],[f411,f1053]) ).
fof(f2867,plain,
( ~ c3_1(a52)
| ~ spl0_9
| spl0_137
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f2864,f1058]) ).
fof(f2872,plain,
( ~ c3_1(a9)
| ~ spl0_9
| spl0_80
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f2856,f759]) ).
fof(f2873,plain,
( $false
| ~ spl0_9
| spl0_137
| ~ spl0_138
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f2867,f1063]) ).
fof(f2874,plain,
( ~ spl0_9
| spl0_137
| ~ spl0_138
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f2873]) ).
fof(f2883,plain,
( ~ spl0_163
| ~ spl0_9
| spl0_80
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f2872,f757,f747,f410,f1298]) ).
fof(f2899,plain,
( c0_1(a76)
| ~ c3_1(a76)
| ~ spl0_26
| spl0_159 ),
inference(resolution,[],[f1170,f476]) ).
fof(f2942,plain,
( ~ c2_1(a5)
| c3_1(a5)
| ~ spl0_15
| ~ spl0_72 ),
inference(resolution,[],[f433,f706]) ).
fof(f2952,plain,
( ~ c2_1(a39)
| c3_1(a39)
| ~ spl0_15
| ~ spl0_129 ),
inference(resolution,[],[f433,f1010]) ).
fof(f2957,plain,
( c3_1(a39)
| ~ spl0_15
| ~ spl0_129
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f2952,f1015]) ).
fof(f2962,plain,
( c3_1(a5)
| ~ spl0_15
| ~ spl0_72
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f2942,f711]) ).
fof(f2974,plain,
( spl0_177
| ~ spl0_15
| ~ spl0_72
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f2962,f709,f704,f432,f2595]) ).
fof(f2980,plain,
( spl0_128
| ~ spl0_15
| ~ spl0_129
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2957,f1013,f1008,f432,f1003]) ).
fof(f3003,plain,
( c0_1(a30)
| ~ c3_1(a30)
| ~ spl0_27
| ~ spl0_115 ),
inference(resolution,[],[f480,f935]) ).
fof(f3007,plain,
( c0_1(a2)
| ~ c3_1(a2)
| ~ spl0_27
| ~ spl0_149 ),
inference(resolution,[],[f480,f1117]) ).
fof(f3008,plain,
( c0_1(a8)
| ~ c3_1(a8)
| ~ spl0_27
| ~ spl0_153 ),
inference(resolution,[],[f480,f1138]) ).
fof(f3009,plain,
( c0_1(a20)
| ~ c3_1(a20)
| ~ spl0_27
| ~ spl0_156 ),
inference(resolution,[],[f480,f1154]) ).
fof(f3011,plain,
( ~ c3_1(a20)
| ~ spl0_27
| ~ spl0_156
| spl0_157 ),
inference(forward_subsumption_resolution,[],[f3009,f1159]) ).
fof(f3012,plain,
( c0_1(a8)
| ~ spl0_27
| ~ spl0_152
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f3008,f1133]) ).
fof(f3014,plain,
( $false
| ~ spl0_27
| ~ spl0_155
| ~ spl0_156
| spl0_157 ),
inference(forward_subsumption_resolution,[],[f3011,f1149]) ).
fof(f3015,plain,
( ~ spl0_27
| ~ spl0_155
| ~ spl0_156
| spl0_157 ),
inference(avatar_contradiction_clause,[],[f3014]) ).
fof(f3016,plain,
( spl0_178
| ~ spl0_27
| ~ spl0_152
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f3012,f1136,f1131,f479,f2621]) ).
fof(f3042,plain,
( spl0_173
| ~ spl0_23
| ~ spl0_25
| spl0_150 ),
inference(avatar_split_clause,[],[f1459,f1120,f472,f464,f1988]) ).
fof(f3045,plain,
( ~ c0_1(a13)
| ~ spl0_14
| ~ spl0_31
| spl0_91 ),
inference(resolution,[],[f807,f2500]) ).
fof(f3048,plain,
( $false
| ~ spl0_14
| ~ spl0_31
| ~ spl0_89
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f3045,f797]) ).
fof(f3049,plain,
( ~ spl0_14
| ~ spl0_31
| ~ spl0_89
| spl0_91 ),
inference(avatar_contradiction_clause,[],[f3048]) ).
fof(f3052,plain,
( spl0_103
| spl0_101
| ~ spl0_4
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f1187,f864,f390,f859,f869]) ).
fof(f3061,plain,
( ~ spl0_114
| ~ spl0_113
| ~ spl0_38
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f1683,f933,f530,f923,f928]) ).
fof(f3068,plain,
( ~ spl0_114
| spl0_161
| ~ spl0_27
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f3003,f933,f479,f1194,f928]) ).
fof(f3077,plain,
( ~ c0_1(a24)
| ~ c3_1(a24)
| ~ spl0_9
| spl0_101 ),
inference(resolution,[],[f861,f411]) ).
fof(f3117,plain,
( spl0_122
| ~ spl0_123
| ~ spl0_23
| spl0_124 ),
inference(avatar_split_clause,[],[f2848,f981,f464,f976,f971]) ).
fof(f3126,plain,
( c3_1(a9)
| ~ spl0_23
| ~ spl0_25
| ~ spl0_49
| spl0_80 ),
inference(resolution,[],[f1552,f749]) ).
fof(f3144,plain,
( $false
| ~ spl0_23
| ~ spl0_25
| ~ spl0_49
| spl0_80
| spl0_163 ),
inference(forward_subsumption_resolution,[],[f3126,f1299]) ).
fof(f3145,plain,
( ~ spl0_23
| ~ spl0_25
| ~ spl0_49
| spl0_80
| spl0_163 ),
inference(avatar_contradiction_clause,[],[f3144]) ).
fof(f3150,plain,
( ~ c0_1(a9)
| ~ c1_1(a9)
| ~ spl0_1
| spl0_80 ),
inference(resolution,[],[f381,f749]) ).
fof(f3164,plain,
( ~ c1_1(a9)
| ~ spl0_1
| spl0_80
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f3150,f759]) ).
fof(f3171,plain,
( ! [X2] :
( c2_1(X2)
| c1_1(X2) )
| ~ spl0_4
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f391,f1456]) ).
fof(f3180,plain,
( c1_1(a36)
| ~ spl0_4
| ~ spl0_23
| ~ spl0_25
| spl0_125 ),
inference(resolution,[],[f3171,f989]) ).
fof(f3188,plain,
( $false
| ~ spl0_4
| ~ spl0_23
| ~ spl0_25
| spl0_125
| spl0_126 ),
inference(forward_subsumption_resolution,[],[f3180,f994]) ).
fof(f3189,plain,
( ~ spl0_4
| ~ spl0_23
| ~ spl0_25
| spl0_125
| spl0_126 ),
inference(avatar_contradiction_clause,[],[f3188]) ).
fof(f3191,plain,
( ~ spl0_173
| spl0_151
| ~ spl0_27
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f3007,f1115,f479,f1125,f1988]) ).
fof(f3239,plain,
( ! [X28] :
( c1_1(X28)
| ~ c0_1(X28) )
| ~ spl0_4
| ~ spl0_23
| ~ spl0_25
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f498,f3171]) ).
fof(f3241,plain,
( ~ c0_1(a13)
| ~ spl0_4
| ~ spl0_23
| ~ spl0_25
| ~ spl0_31
| spl0_91 ),
inference(resolution,[],[f3239,f807]) ).
fof(f3257,plain,
( $false
| ~ spl0_4
| ~ spl0_23
| ~ spl0_25
| ~ spl0_31
| ~ spl0_89
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f3241,f797]) ).
fof(f3258,plain,
( ~ spl0_4
| ~ spl0_23
| ~ spl0_25
| ~ spl0_31
| ~ spl0_89
| spl0_91 ),
inference(avatar_contradiction_clause,[],[f3257]) ).
fof(f3273,plain,
( ~ spl0_81
| ~ spl0_1
| spl0_80
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f3164,f757,f747,f380,f752]) ).
fof(f3286,plain,
( c0_1(a76)
| ~ spl0_26
| ~ spl0_158
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f2899,f1165]) ).
fof(f3301,plain,
( ~ c0_1(a24)
| ~ spl0_9
| spl0_101
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f3077,f866]) ).
fof(f3304,plain,
( spl0_160
| ~ spl0_26
| ~ spl0_158
| spl0_159 ),
inference(avatar_split_clause,[],[f3286,f1168,f1163,f475,f1173]) ).
fof(f3309,plain,
( ~ spl0_164
| ~ spl0_9
| spl0_101
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f3301,f864,f859,f410,f1310]) ).
fof(f3344,plain,
( ! [X11] :
( c2_1(X11)
| ~ c0_1(X11) )
| ~ spl0_1
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f430,f381]) ).
fof(f3351,plain,
( ~ c0_1(a29)
| ~ spl0_1
| ~ spl0_14
| spl0_111 ),
inference(resolution,[],[f3344,f914]) ).
fof(f3357,plain,
( ~ spl0_176
| ~ spl0_1
| ~ spl0_14
| spl0_111 ),
inference(avatar_split_clause,[],[f3351,f912,f429,f380,f2434]) ).
fof(f3407,plain,
( ! [X44] :
( c2_1(X44)
| c3_1(X44) )
| ~ spl0_1
| ~ spl0_14
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f535,f3344]) ).
fof(f3412,plain,
( c3_1(a21)
| ~ spl0_1
| ~ spl0_14
| ~ spl0_39
| spl0_99 ),
inference(resolution,[],[f3407,f850]) ).
fof(f3414,plain,
( c3_1(a29)
| ~ spl0_1
| ~ spl0_14
| ~ spl0_39
| spl0_111 ),
inference(resolution,[],[f3407,f914]) ).
fof(f3418,plain,
( $false
| ~ spl0_1
| ~ spl0_14
| ~ spl0_39
| spl0_110
| spl0_111 ),
inference(forward_subsumption_resolution,[],[f3414,f909]) ).
fof(f3419,plain,
( ~ spl0_1
| ~ spl0_14
| ~ spl0_39
| spl0_110
| spl0_111 ),
inference(avatar_contradiction_clause,[],[f3418]) ).
fof(f3420,plain,
( $false
| ~ spl0_1
| ~ spl0_14
| ~ spl0_39
| spl0_98
| spl0_99 ),
inference(forward_subsumption_resolution,[],[f3412,f845]) ).
fof(f3421,plain,
( ~ spl0_1
| ~ spl0_14
| ~ spl0_39
| spl0_98
| spl0_99 ),
inference(avatar_contradiction_clause,[],[f3420]) ).
fof(f3493,plain,
( c3_1(a57)
| ~ spl0_8
| ~ spl0_33
| ~ spl0_144 ),
inference(resolution,[],[f2574,f1090]) ).
fof(f3519,plain,
( ! [X0] :
( c2_1(X0)
| c1_1(X0)
| ~ c0_1(X0) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_23 ),
inference(resolution,[],[f391,f2752]) ).
fof(f3524,plain,
( c2_1(a17)
| c1_1(a17)
| ~ spl0_4
| ~ spl0_170 ),
inference(resolution,[],[f391,f1852]) ).
fof(f3541,plain,
( spl0_14
| ~ spl0_4
| ~ spl0_8
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f3519,f464,f407,f390,f429]) ).
fof(f3547,plain,
( c0_1(a4)
| c3_1(a4)
| ~ spl0_33
| ~ spl0_68 ),
inference(resolution,[],[f685,f505]) ).
fof(f3557,plain,
( ~ c2_1(a35)
| c3_1(a35)
| ~ spl0_15
| ~ spl0_123 ),
inference(resolution,[],[f433,f978]) ).
fof(f3582,plain,
( c0_1(a24)
| ~ c3_1(a24)
| ~ spl0_26
| spl0_103 ),
inference(resolution,[],[f476,f871]) ).
fof(f3587,plain,
( c0_1(a2)
| ~ c3_1(a2)
| ~ spl0_26
| spl0_150 ),
inference(resolution,[],[f476,f1122]) ).
fof(f3596,plain,
( c0_1(a4)
| ~ c3_1(a4)
| ~ spl0_27
| ~ spl0_69 ),
inference(resolution,[],[f480,f690]) ).
fof(f3611,plain,
( ~ c3_1(a4)
| ~ spl0_27
| ~ spl0_69
| spl0_70 ),
inference(forward_subsumption_resolution,[],[f3596,f695]) ).
fof(f3612,plain,
( ~ spl0_181
| ~ spl0_27
| ~ spl0_69
| spl0_70 ),
inference(avatar_split_clause,[],[f3611,f693,f688,f479,f2666]) ).
fof(f3614,plain,
( spl0_97
| spl0_95
| ~ spl0_4
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f3524,f1850,f390,f827,f837]) ).
fof(f3640,plain,
( ~ spl0_173
| spl0_151
| ~ spl0_26
| spl0_150 ),
inference(avatar_split_clause,[],[f3587,f1120,f475,f1125,f1988]) ).
fof(f3643,plain,
( ~ spl0_102
| spl0_164
| ~ spl0_26
| spl0_103 ),
inference(avatar_split_clause,[],[f3582,f869,f475,f1310,f864]) ).
fof(f3646,plain,
( spl0_122
| ~ spl0_165
| ~ spl0_15
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f3557,f976,f432,f1451,f971]) ).
fof(f3684,plain,
( ~ c0_1(a30)
| ~ spl0_3
| ~ spl0_114
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[],[f1192,f935]) ).
fof(f3704,plain,
( c1_1(a52)
| ~ spl0_14
| spl0_137
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f1421,f1053]) ).
fof(f3705,plain,
( spl0_165
| ~ spl0_14
| ~ spl0_123
| spl0_124 ),
inference(avatar_split_clause,[],[f1423,f981,f976,f429,f1451]) ).
fof(f3709,plain,
( c2_1(a17)
| ~ spl0_14
| ~ spl0_96
| spl0_97 ),
inference(forward_subsumption_resolution,[],[f2480,f839]) ).
fof(f3713,plain,
( ~ c3_1(a8)
| ~ spl0_32
| ~ spl0_153
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f2277,f1143]) ).
fof(f3715,plain,
( spl0_179
| ~ spl0_32
| ~ spl0_155
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f2281,f1152,f1147,f500,f2626]) ).
fof(f3718,plain,
( ~ c3_1(a13)
| ~ spl0_32
| ~ spl0_90
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f2612,f807]) ).
fof(f3721,plain,
( ~ spl0_161
| ~ spl0_3
| ~ spl0_114
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f3684,f933,f928,f387,f1194]) ).
fof(f3724,plain,
( spl0_162
| ~ spl0_14
| spl0_137
| ~ spl0_138 ),
inference(avatar_split_clause,[],[f3704,f1056,f1051,f429,f1282]) ).
fof(f3730,plain,
( ~ spl0_174
| ~ spl0_32
| ~ spl0_90
| spl0_91 ),
inference(avatar_split_clause,[],[f3718,f805,f800,f500,f2017]) ).
fof(f3745,plain,
( spl0_143
| ~ spl0_8
| ~ spl0_33
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f3493,f1088,f504,f407,f1083]) ).
fof(f3746,plain,
( spl0_181
| spl0_70
| ~ spl0_33
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f3547,f683,f504,f693,f2666]) ).
fof(f3748,plain,
( ~ spl0_152
| ~ spl0_32
| ~ spl0_153
| spl0_154 ),
inference(avatar_split_clause,[],[f3713,f1141,f1136,f500,f1131]) ).
fof(f3750,plain,
( spl0_95
| ~ spl0_14
| ~ spl0_96
| spl0_97 ),
inference(avatar_split_clause,[],[f3709,f837,f832,f429,f827]) ).
fof(f3808,plain,
( c3_1(a12)
| c0_1(a12)
| ~ spl0_25
| spl0_87 ),
inference(resolution,[],[f473,f786]) ).
fof(f3812,plain,
( c3_1(a29)
| c0_1(a29)
| ~ spl0_25
| spl0_112 ),
inference(resolution,[],[f473,f919]) ).
fof(f3817,plain,
( c3_1(a2)
| c0_1(a2)
| ~ spl0_25
| spl0_150 ),
inference(resolution,[],[f473,f1122]) ).
fof(f3822,plain,
( c0_1(a29)
| ~ spl0_25
| spl0_110
| spl0_112 ),
inference(forward_subsumption_resolution,[],[f3812,f909]) ).
fof(f3826,plain,
( spl0_176
| ~ spl0_25
| spl0_110
| spl0_112 ),
inference(avatar_split_clause,[],[f3822,f917,f907,f472,f2434]) ).
fof(f3860,plain,
( spl0_151
| spl0_173
| ~ spl0_25
| spl0_150 ),
inference(avatar_split_clause,[],[f3817,f1120,f472,f1988,f1125]) ).
fof(f3863,plain,
( c3_1(a12)
| ~ spl0_25
| spl0_87
| spl0_88 ),
inference(forward_subsumption_resolution,[],[f3808,f791]) ).
fof(f3867,plain,
( spl0_86
| ~ spl0_25
| spl0_87
| spl0_88 ),
inference(avatar_split_clause,[],[f3863,f789,f784,f472,f779]) ).
fof(f3916,plain,
( ! [X10] :
( ~ c1_1(X10)
| ~ c0_1(X10) )
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f427,f381]) ).
fof(f3922,plain,
( ~ c0_1(a26)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_104 ),
inference(resolution,[],[f3916,f877]) ).
fof(f3928,plain,
( $false
| ~ spl0_1
| ~ spl0_13
| ~ spl0_104
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f3922,f882]) ).
fof(f3929,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_104
| ~ spl0_105 ),
inference(avatar_contradiction_clause,[],[f3928]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f392]) ).
cnf(s4,plain,
( spl0_2
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f416]) ).
cnf(s6,plain,
( spl0_2
| spl0_13
| spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f434]) ).
cnf(s7,plain,
( spl0_2
| spl0_16
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f445]) ).
cnf(s8,plain,
( spl0_2
| spl0_9
| spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f453]) ).
cnf(s10,plain,
( spl0_2
| spl0_14
| spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f470]) ).
cnf(s11,plain,
( spl0_2
| spl0_14
| spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f477]) ).
cnf(s12,plain,
( spl0_2
| spl0_7
| spl0_14
| spl0_27 ),
inference(sat_conversion,[],[f481]) ).
cnf(s13,plain,
( spl0_2
| spl0_14
| spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f490]) ).
cnf(s15,plain,
( spl0_2
| spl0_9
| spl0_31
| spl0_32 ),
inference(sat_conversion,[],[f502]) ).
cnf(s17,plain,
( spl0_2
| spl0_9
| spl0_33
| ~ spl0_34 ),
inference(sat_conversion,[],[f511]) ).
cnf(s18,plain,
( spl0_2
| spl0_9
| spl0_22
| spl0_25 ),
inference(sat_conversion,[],[f512]) ).
cnf(s19,plain,
( spl0_2
| spl0_9
| spl0_22
| spl0_26 ),
inference(sat_conversion,[],[f513]) ).
cnf(s20,plain,
( spl0_2
| spl0_9
| spl0_35
| ~ spl0_36 ),
inference(sat_conversion,[],[f522]) ).
cnf(s22,plain,
( spl0_2
| spl0_23
| ~ spl0_37 ),
inference(sat_conversion,[],[f528]) ).
cnf(s23,plain,
( spl0_2
| spl0_15
| ~ spl0_29
| spl0_38 ),
inference(sat_conversion,[],[f532]) ).
cnf(s24,plain,
( spl0_2
| spl0_15
| spl0_25
| spl0_39 ),
inference(sat_conversion,[],[f536]) ).
cnf(s25,plain,
( spl0_2
| spl0_11
| spl0_15
| ~ spl0_40 ),
inference(sat_conversion,[],[f541]) ).
cnf(s28,plain,
( spl0_2
| spl0_31
| spl0_33
| spl0_44 ),
inference(sat_conversion,[],[f559]) ).
cnf(s29,plain,
( spl0_2
| spl0_25
| spl0_31
| spl0_35 ),
inference(sat_conversion,[],[f560]) ).
cnf(s31,plain,
( spl0_2
| ~ spl0_36
| spl0_44
| spl0_47 ),
inference(sat_conversion,[],[f574]) ).
cnf(s32,plain,
( spl0_2
| spl0_3
| ~ spl0_20
| spl0_48 ),
inference(sat_conversion,[],[f579]) ).
cnf(s33,plain,
( spl0_2
| spl0_5
| spl0_27
| spl0_49 ),
inference(sat_conversion,[],[f583]) ).
cnf(s34,plain,
( spl0_2
| ~ spl0_29
| spl0_38
| spl0_49 ),
inference(sat_conversion,[],[f584]) ).
cnf(s35,plain,
( spl0_2
| spl0_25
| spl0_49
| ~ spl0_50 ),
inference(sat_conversion,[],[f589]) ).
cnf(s39,plain,
( spl0_2
| ~ spl0_12
| spl0_33
| spl0_55 ),
inference(sat_conversion,[],[f610]) ).
cnf(s43,plain,
( spl0_2
| ~ spl0_29
| ~ spl0_50
| spl0_55 ),
inference(sat_conversion,[],[f617]) ).
cnf(s44,plain,
( spl0_2
| spl0_17
| spl0_38
| spl0_42 ),
inference(sat_conversion,[],[f618]) ).
cnf(s46,plain,
( spl0_2
| spl0_11
| spl0_27
| ~ spl0_37 ),
inference(sat_conversion,[],[f624]) ).
cnf(s48,plain,
( spl0_2
| spl0_7
| spl0_17
| ~ spl0_59 ),
inference(sat_conversion,[],[f634]) ).
cnf(s50,plain,
( spl0_2
| spl0_4
| spl0_7
| spl0_28 ),
inference(sat_conversion,[],[f642]) ).
cnf(s51,plain,
( spl0_2
| spl0_4
| spl0_43 ),
inference(sat_conversion,[],[f643]) ).
cnf(s54,plain,
( spl0_2
| spl0_26
| spl0_27
| ~ spl0_50 ),
inference(sat_conversion,[],[f653]) ).
cnf(s56,plain,
( spl0_2
| ~ spl0_21
| spl0_26
| spl0_47 ),
inference(sat_conversion,[],[f655]) ).
cnf(s58,plain,
( spl0_2
| spl0_26
| ~ spl0_41
| spl0_57 ),
inference(sat_conversion,[],[f657]) ).
cnf(s59,plain,
( spl0_2
| spl0_7
| spl0_27
| ~ spl0_64 ),
inference(sat_conversion,[],[f662]) ).
cnf(s62,plain,
( spl0_2
| ~ spl0_12
| spl0_32
| ~ spl0_37 ),
inference(sat_conversion,[],[f665]) ).
cnf(s67,plain,
( ~ spl0_10
| spl0_68 ),
inference(sat_conversion,[],[f686]) ).
cnf(s68,plain,
( ~ spl0_10
| spl0_69 ),
inference(sat_conversion,[],[f691]) ).
cnf(s69,plain,
( ~ spl0_10
| ~ spl0_70 ),
inference(sat_conversion,[],[f696]) ).
cnf(s71,plain,
( spl0_12
| spl0_71 ),
inference(sat_conversion,[],[f702]) ).
cnf(s72,plain,
( spl0_12
| spl0_72 ),
inference(sat_conversion,[],[f707]) ).
cnf(s73,plain,
( spl0_12
| spl0_73 ),
inference(sat_conversion,[],[f712]) ).
cnf(s76,plain,
( ~ spl0_18
| spl0_75 ),
inference(sat_conversion,[],[f723]) ).
cnf(s77,plain,
( ~ spl0_18
| ~ spl0_76 ),
inference(sat_conversion,[],[f728]) ).
cnf(s79,plain,
( spl0_20
| spl0_77 ),
inference(sat_conversion,[],[f734]) ).
cnf(s80,plain,
( spl0_20
| spl0_78 ),
inference(sat_conversion,[],[f739]) ).
cnf(s81,plain,
( spl0_20
| ~ spl0_79 ),
inference(sat_conversion,[],[f744]) ).
cnf(s83,plain,
( ~ spl0_22
| ~ spl0_80 ),
inference(sat_conversion,[],[f750]) ).
cnf(s84,plain,
( ~ spl0_22
| spl0_81 ),
inference(sat_conversion,[],[f755]) ).
cnf(s85,plain,
( ~ spl0_22
| spl0_82 ),
inference(sat_conversion,[],[f760]) ).
cnf(s87,plain,
( spl0_24
| ~ spl0_83 ),
inference(sat_conversion,[],[f766]) ).
cnf(s88,plain,
( spl0_24
| spl0_84 ),
inference(sat_conversion,[],[f771]) ).
cnf(s89,plain,
( spl0_24
| spl0_85 ),
inference(sat_conversion,[],[f776]) ).
cnf(s91,plain,
( ~ spl0_28
| ~ spl0_86 ),
inference(sat_conversion,[],[f782]) ).
cnf(s92,plain,
( ~ spl0_28
| ~ spl0_87 ),
inference(sat_conversion,[],[f787]) ).
cnf(s93,plain,
( ~ spl0_28
| ~ spl0_88 ),
inference(sat_conversion,[],[f792]) ).
cnf(s94,plain,
( ~ spl0_2
| ~ spl0_28 ),
inference(sat_conversion,[],[f793]) ).
cnf(s95,plain,
( spl0_29
| spl0_89 ),
inference(sat_conversion,[],[f798]) ).
cnf(s96,plain,
( spl0_29
| spl0_90 ),
inference(sat_conversion,[],[f803]) ).
cnf(s97,plain,
( spl0_29
| ~ spl0_91 ),
inference(sat_conversion,[],[f808]) ).
cnf(s103,plain,
( spl0_34
| ~ spl0_95 ),
inference(sat_conversion,[],[f830]) ).
cnf(s104,plain,
( spl0_34
| spl0_96 ),
inference(sat_conversion,[],[f835]) ).
cnf(s105,plain,
( spl0_34
| ~ spl0_97 ),
inference(sat_conversion,[],[f840]) ).
cnf(s107,plain,
( spl0_36
| ~ spl0_98 ),
inference(sat_conversion,[],[f846]) ).
cnf(s108,plain,
( spl0_36
| ~ spl0_99 ),
inference(sat_conversion,[],[f851]) ).
cnf(s109,plain,
( spl0_36
| ~ spl0_100 ),
inference(sat_conversion,[],[f856]) ).
cnf(s111,plain,
( spl0_37
| ~ spl0_101 ),
inference(sat_conversion,[],[f862]) ).
cnf(s112,plain,
( spl0_37
| spl0_102 ),
inference(sat_conversion,[],[f867]) ).
cnf(s113,plain,
( spl0_37
| ~ spl0_103 ),
inference(sat_conversion,[],[f872]) ).
cnf(s115,plain,
( spl0_40
| spl0_104 ),
inference(sat_conversion,[],[f878]) ).
cnf(s116,plain,
( spl0_40
| spl0_105 ),
inference(sat_conversion,[],[f883]) ).
cnf(s119,plain,
( spl0_41
| spl0_107 ),
inference(sat_conversion,[],[f894]) ).
cnf(s120,plain,
( spl0_41
| spl0_108 ),
inference(sat_conversion,[],[f899]) ).
cnf(s121,plain,
( spl0_41
| spl0_109 ),
inference(sat_conversion,[],[f904]) ).
cnf(s123,plain,
( ~ spl0_42
| ~ spl0_110 ),
inference(sat_conversion,[],[f910]) ).
cnf(s124,plain,
( ~ spl0_42
| ~ spl0_111 ),
inference(sat_conversion,[],[f915]) ).
cnf(s125,plain,
( ~ spl0_42
| ~ spl0_112 ),
inference(sat_conversion,[],[f920]) ).
cnf(s127,plain,
( ~ spl0_43
| spl0_113 ),
inference(sat_conversion,[],[f926]) ).
cnf(s128,plain,
( ~ spl0_43
| spl0_114 ),
inference(sat_conversion,[],[f931]) ).
cnf(s129,plain,
( ~ spl0_43
| spl0_115 ),
inference(sat_conversion,[],[f936]) ).
cnf(s139,plain,
( ~ spl0_47
| ~ spl0_122 ),
inference(sat_conversion,[],[f974]) ).
cnf(s140,plain,
( ~ spl0_47
| spl0_123 ),
inference(sat_conversion,[],[f979]) ).
cnf(s141,plain,
( ~ spl0_47
| ~ spl0_124 ),
inference(sat_conversion,[],[f984]) ).
cnf(s143,plain,
( ~ spl0_48
| ~ spl0_125 ),
inference(sat_conversion,[],[f990]) ).
cnf(s144,plain,
( ~ spl0_48
| ~ spl0_126 ),
inference(sat_conversion,[],[f995]) ).
cnf(s147,plain,
( spl0_50
| ~ spl0_128 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s148,plain,
( spl0_50
| spl0_129 ),
inference(sat_conversion,[],[f1011]) ).
cnf(s149,plain,
( spl0_50
| spl0_130 ),
inference(sat_conversion,[],[f1016]) ).
cnf(s159,plain,
( ~ spl0_57
| ~ spl0_137 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s160,plain,
( ~ spl0_57
| spl0_138 ),
inference(sat_conversion,[],[f1059]) ).
cnf(s161,plain,
( ~ spl0_57
| spl0_139 ),
inference(sat_conversion,[],[f1064]) ).
cnf(s167,plain,
( spl0_59
| ~ spl0_143 ),
inference(sat_conversion,[],[f1086]) ).
cnf(s168,plain,
( spl0_59
| spl0_144 ),
inference(sat_conversion,[],[f1091]) ).
cnf(s170,plain,
( ~ spl0_2
| spl0_59 ),
inference(sat_conversion,[],[f1097]) ).
cnf(s175,plain,
( ~ spl0_7
| spl0_149 ),
inference(sat_conversion,[],[f1118]) ).
cnf(s176,plain,
( ~ spl0_7
| ~ spl0_150 ),
inference(sat_conversion,[],[f1123]) ).
cnf(s177,plain,
( ~ spl0_7
| ~ spl0_151 ),
inference(sat_conversion,[],[f1128]) ).
cnf(s179,plain,
( spl0_21
| spl0_152 ),
inference(sat_conversion,[],[f1134]) ).
cnf(s180,plain,
( spl0_21
| spl0_153 ),
inference(sat_conversion,[],[f1139]) ).
cnf(s181,plain,
( spl0_21
| ~ spl0_154 ),
inference(sat_conversion,[],[f1144]) ).
cnf(s183,plain,
( ~ spl0_35
| spl0_155 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s184,plain,
( ~ spl0_35
| spl0_156 ),
inference(sat_conversion,[],[f1155]) ).
cnf(s185,plain,
( ~ spl0_35
| ~ spl0_157 ),
inference(sat_conversion,[],[f1160]) ).
cnf(s186,plain,
( ~ spl0_2
| ~ spl0_35 ),
inference(sat_conversion,[],[f1161]) ).
cnf(s187,plain,
( spl0_64
| spl0_158 ),
inference(sat_conversion,[],[f1166]) ).
cnf(s188,plain,
( spl0_64
| ~ spl0_159 ),
inference(sat_conversion,[],[f1171]) ).
cnf(s189,plain,
( spl0_64
| ~ spl0_160 ),
inference(sat_conversion,[],[f1176]) ).
cnf(s191,plain,
( ~ spl0_37
| spl0_57
| ~ spl0_64 ),
inference(sat_conversion,[],[f1178]) ).
cnf(s192,plain,
( spl0_28
| spl0_35
| ~ spl0_59 ),
inference(sat_conversion,[],[f1179]) ).
cnf(s196,plain,
( spl0_22
| ~ spl0_50
| spl0_57 ),
inference(sat_conversion,[],[f1183]) ).
cnf(s200,plain,
( ~ spl0_14
| ~ spl0_17
| spl0_101
| spl0_103 ),
inference(sat_conversion,[],[f1230]) ).
cnf(s232,plain,
( ~ spl0_11
| ~ spl0_49
| spl0_98
| spl0_99 ),
inference(sat_conversion,[],[f1364]) ).
cnf(s246,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_26
| ~ spl0_102
| spl0_103 ),
inference(sat_conversion,[],[f1398]) ).
cnf(s248,plain,
( ~ spl0_3
| ~ spl0_107
| ~ spl0_108
| ~ spl0_109 ),
inference(sat_conversion,[],[f1402]) ).
cnf(s250,plain,
( ~ spl0_16
| ~ spl0_138
| ~ spl0_139
| ~ spl0_162 ),
inference(sat_conversion,[],[f1438]) ).
cnf(s266,plain,
( ~ spl0_11
| spl0_110
| spl0_111
| spl0_112 ),
inference(sat_conversion,[],[f1509]) ).
cnf(s267,plain,
( ~ spl0_4
| ~ spl0_11
| spl0_99
| spl0_166 ),
inference(sat_conversion,[],[f1525]) ).
cnf(s278,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_31
| ~ spl0_77
| spl0_79 ),
inference(sat_conversion,[],[f1575]) ).
cnf(s289,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_32
| ~ spl0_158
| spl0_159 ),
inference(sat_conversion,[],[f1612]) ).
cnf(s306,plain,
( ~ spl0_17
| spl0_99
| spl0_100
| spl0_166 ),
inference(sat_conversion,[],[f1699]) ).
cnf(s314,plain,
( ~ spl0_14
| ~ spl0_17
| ~ spl0_32
| ~ spl0_102
| spl0_103 ),
inference(sat_conversion,[],[f1749]) ).
cnf(s323,plain,
( ~ spl0_13
| ~ spl0_71
| ~ spl0_72
| ~ spl0_73 ),
inference(sat_conversion,[],[f1832]) ).
cnf(s324,plain,
( ~ spl0_17
| spl0_101
| spl0_103
| spl0_164 ),
inference(sat_conversion,[],[f1836]) ).
cnf(s328,plain,
( ~ spl0_13
| ~ spl0_33
| spl0_83
| ~ spl0_84
| ~ spl0_85 ),
inference(sat_conversion,[],[f1839]) ).
cnf(s333,plain,
( ~ spl0_23
| ~ spl0_96
| spl0_97
| spl0_170 ),
inference(sat_conversion,[],[f1857]) ).
cnf(s344,plain,
( ~ spl0_13
| ~ spl0_31
| ~ spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f1945]) ).
cnf(s346,plain,
( ~ spl0_13
| ~ spl0_31
| ~ spl0_89
| ~ spl0_90 ),
inference(sat_conversion,[],[f1949]) ).
cnf(s349,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_89
| ~ spl0_90 ),
inference(sat_conversion,[],[f1957]) ).
cnf(s352,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_31
| ~ spl0_89
| spl0_91 ),
inference(sat_conversion,[],[f1964]) ).
cnf(s356,plain,
( ~ spl0_3
| ~ spl0_27
| ~ spl0_152
| ~ spl0_153 ),
inference(sat_conversion,[],[f1976]) ).
cnf(s360,plain,
( ~ spl0_23
| ~ spl0_25
| ~ spl0_32
| ~ spl0_149
| spl0_150 ),
inference(sat_conversion,[],[f1982]) ).
cnf(s375,plain,
( ~ spl0_23
| ~ spl0_25
| ~ spl0_33
| spl0_98
| spl0_100 ),
inference(sat_conversion,[],[f2010]) ).
cnf(s398,plain,
( ~ spl0_23
| ~ spl0_89
| spl0_91
| spl0_174 ),
inference(sat_conversion,[],[f2124]) ).
cnf(s406,plain,
( ~ spl0_23
| ~ spl0_44
| ~ spl0_89
| spl0_91 ),
inference(sat_conversion,[],[f2204]) ).
cnf(s407,plain,
( ~ spl0_23
| ~ spl0_44
| ~ spl0_77
| spl0_79 ),
inference(sat_conversion,[],[f2206]) ).
cnf(s426,plain,
( ~ spl0_32
| ~ spl0_149
| spl0_150
| ~ spl0_173 ),
inference(sat_conversion,[],[f2284]) ).
cnf(s450,plain,
( ~ spl0_26
| ~ spl0_55
| ~ spl0_155
| spl0_157 ),
inference(sat_conversion,[],[f2396]) ).
cnf(s455,plain,
( ~ spl0_26
| ~ spl0_55
| ~ spl0_114
| spl0_161 ),
inference(sat_conversion,[],[f2406]) ).
cnf(s457,plain,
( ~ spl0_26
| ~ spl0_55
| ~ spl0_75
| spl0_76 ),
inference(sat_conversion,[],[f2410]) ).
cnf(s458,plain,
( ~ spl0_26
| ~ spl0_33
| ~ spl0_55
| ~ spl0_68
| spl0_70 ),
inference(sat_conversion,[],[f2412]) ).
cnf(s488,plain,
( ~ spl0_19
| ~ spl0_39
| spl0_110
| spl0_111 ),
inference(sat_conversion,[],[f2565]) ).
cnf(s489,plain,
( ~ spl0_19
| ~ spl0_39
| spl0_98
| spl0_99 ),
inference(sat_conversion,[],[f2567]) ).
cnf(s492,plain,
( ~ spl0_3
| ~ spl0_14
| ~ spl0_77
| ~ spl0_78
| spl0_79 ),
inference(sat_conversion,[],[f2573]) ).
cnf(s529,plain,
( ~ spl0_5
| ~ spl0_156
| spl0_157
| ~ spl0_179 ),
inference(sat_conversion,[],[f2630]) ).
cnf(s540,plain,
( ~ spl0_38
| ~ spl0_155
| ~ spl0_156
| ~ spl0_179 ),
inference(sat_conversion,[],[f2652]) ).
cnf(s542,plain,
( ~ spl0_38
| ~ spl0_71
| ~ spl0_73
| ~ spl0_177 ),
inference(sat_conversion,[],[f2654]) ).
cnf(s557,plain,
( ~ spl0_38
| ~ spl0_68
| ~ spl0_69
| ~ spl0_181 ),
inference(sat_conversion,[],[f2672]) ).
cnf(s562,plain,
( ~ spl0_33
| spl0_98
| spl0_100
| ~ spl0_166 ),
inference(sat_conversion,[],[f2674]) ).
cnf(s575,plain,
( ~ spl0_4
| ~ spl0_11
| spl0_125
| spl0_126 ),
inference(sat_conversion,[],[f2718]) ).
cnf(s588,plain,
( ~ spl0_14
| ~ spl0_17
| spl0_125
| spl0_126 ),
inference(sat_conversion,[],[f2744]) ).
cnf(s605,plain,
( ~ spl0_14
| ~ spl0_31
| spl0_154
| ~ spl0_178 ),
inference(sat_conversion,[],[f2764]) ).
cnf(s608,plain,
( ~ spl0_14
| ~ spl0_31
| ~ spl0_77
| spl0_79 ),
inference(sat_conversion,[],[f2768]) ).
cnf(s615,plain,
( ~ spl0_8
| ~ spl0_23
| spl0_128
| ~ spl0_129 ),
inference(sat_conversion,[],[f2785]) ).
cnf(s628,plain,
( ~ spl0_9
| spl0_137
| ~ spl0_138
| ~ spl0_139 ),
inference(sat_conversion,[],[f2874]) ).
cnf(s633,plain,
( ~ spl0_9
| spl0_80
| ~ spl0_82
| ~ spl0_163 ),
inference(sat_conversion,[],[f2883]) ).
cnf(s653,plain,
( ~ spl0_15
| ~ spl0_72
| ~ spl0_73
| spl0_177 ),
inference(sat_conversion,[],[f2974]) ).
cnf(s659,plain,
( ~ spl0_15
| spl0_128
| ~ spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f2980]) ).
cnf(s669,plain,
( ~ spl0_27
| ~ spl0_155
| ~ spl0_156
| spl0_157 ),
inference(sat_conversion,[],[f3015]) ).
cnf(s670,plain,
( ~ spl0_27
| ~ spl0_152
| ~ spl0_153
| spl0_178 ),
inference(sat_conversion,[],[f3016]) ).
cnf(s691,plain,
( ~ spl0_23
| ~ spl0_25
| spl0_150
| spl0_173 ),
inference(sat_conversion,[],[f3042]) ).
cnf(s699,plain,
( ~ spl0_14
| ~ spl0_31
| ~ spl0_89
| spl0_91 ),
inference(sat_conversion,[],[f3049]) ).
cnf(s701,plain,
( ~ spl0_4
| spl0_101
| ~ spl0_102
| spl0_103 ),
inference(sat_conversion,[],[f3052]) ).
cnf(s708,plain,
( ~ spl0_38
| ~ spl0_113
| ~ spl0_114
| ~ spl0_115 ),
inference(sat_conversion,[],[f3061]) ).
cnf(s722,plain,
( ~ spl0_27
| ~ spl0_114
| ~ spl0_115
| spl0_161 ),
inference(sat_conversion,[],[f3068]) ).
cnf(s772,plain,
( ~ spl0_23
| spl0_122
| ~ spl0_123
| spl0_124 ),
inference(sat_conversion,[],[f3117]) ).
cnf(s781,plain,
( ~ spl0_23
| ~ spl0_25
| ~ spl0_49
| spl0_80
| spl0_163 ),
inference(sat_conversion,[],[f3145]) ).
cnf(s788,plain,
( ~ spl0_4
| ~ spl0_23
| ~ spl0_25
| spl0_125
| spl0_126 ),
inference(sat_conversion,[],[f3189]) ).
cnf(s790,plain,
( ~ spl0_27
| ~ spl0_149
| spl0_151
| ~ spl0_173 ),
inference(sat_conversion,[],[f3191]) ).
cnf(s804,plain,
( ~ spl0_4
| ~ spl0_23
| ~ spl0_25
| ~ spl0_31
| ~ spl0_89
| spl0_91 ),
inference(sat_conversion,[],[f3258]) ).
cnf(s809,plain,
( ~ spl0_1
| spl0_80
| ~ spl0_81
| ~ spl0_82 ),
inference(sat_conversion,[],[f3273]) ).
cnf(s835,plain,
( ~ spl0_26
| ~ spl0_158
| spl0_159
| spl0_160 ),
inference(sat_conversion,[],[f3304]) ).
cnf(s844,plain,
( ~ spl0_9
| spl0_101
| ~ spl0_102
| ~ spl0_164 ),
inference(sat_conversion,[],[f3309]) ).
cnf(s857,plain,
( ~ spl0_1
| ~ spl0_14
| spl0_111
| ~ spl0_176 ),
inference(sat_conversion,[],[f3357]) ).
cnf(s873,plain,
( ~ spl0_1
| ~ spl0_14
| ~ spl0_39
| spl0_110
| spl0_111 ),
inference(sat_conversion,[],[f3419]) ).
cnf(s874,plain,
( ~ spl0_1
| ~ spl0_14
| ~ spl0_39
| spl0_98
| spl0_99 ),
inference(sat_conversion,[],[f3421]) ).
cnf(s936,plain,
( ~ spl0_4
| ~ spl0_8
| spl0_14
| ~ spl0_23 ),
inference(sat_conversion,[],[f3541]) ).
cnf(s957,plain,
( ~ spl0_27
| ~ spl0_69
| spl0_70
| ~ spl0_181 ),
inference(sat_conversion,[],[f3612]) ).
cnf(s959,plain,
( ~ spl0_4
| spl0_95
| spl0_97
| ~ spl0_170 ),
inference(sat_conversion,[],[f3614]) ).
cnf(s987,plain,
( ~ spl0_26
| spl0_150
| spl0_151
| ~ spl0_173 ),
inference(sat_conversion,[],[f3640]) ).
cnf(s988,plain,
( ~ spl0_26
| ~ spl0_102
| spl0_103
| spl0_164 ),
inference(sat_conversion,[],[f3643]) ).
cnf(s1003,plain,
( ~ spl0_15
| spl0_122
| ~ spl0_123
| ~ spl0_165 ),
inference(sat_conversion,[],[f3646]) ).
cnf(s1017,plain,
( ~ spl0_14
| ~ spl0_123
| spl0_124
| spl0_165 ),
inference(sat_conversion,[],[f3705]) ).
cnf(s1033,plain,
( ~ spl0_32
| ~ spl0_155
| ~ spl0_156
| spl0_179 ),
inference(sat_conversion,[],[f3715]) ).
cnf(s1038,plain,
( ~ spl0_3
| ~ spl0_114
| ~ spl0_115
| ~ spl0_161 ),
inference(sat_conversion,[],[f3721]) ).
cnf(s1050,plain,
( ~ spl0_14
| spl0_137
| ~ spl0_138
| spl0_162 ),
inference(sat_conversion,[],[f3724]) ).
cnf(s1058,plain,
( ~ spl0_32
| ~ spl0_90
| spl0_91
| ~ spl0_174 ),
inference(sat_conversion,[],[f3730]) ).
cnf(s1065,plain,
( ~ spl0_8
| ~ spl0_33
| spl0_143
| ~ spl0_144 ),
inference(sat_conversion,[],[f3745]) ).
cnf(s1066,plain,
( ~ spl0_33
| ~ spl0_68
| spl0_70
| spl0_181 ),
inference(sat_conversion,[],[f3746]) ).
cnf(s1068,plain,
( ~ spl0_32
| ~ spl0_152
| ~ spl0_153
| spl0_154 ),
inference(sat_conversion,[],[f3748]) ).
cnf(s1069,plain,
( ~ spl0_14
| spl0_95
| ~ spl0_96
| spl0_97 ),
inference(sat_conversion,[],[f3750]) ).
cnf(s1100,plain,
( ~ spl0_25
| spl0_110
| spl0_112
| spl0_176 ),
inference(sat_conversion,[],[f3826]) ).
cnf(s1137,plain,
( ~ spl0_25
| spl0_150
| spl0_151
| spl0_173 ),
inference(sat_conversion,[],[f3860]) ).
cnf(s1156,plain,
( ~ spl0_25
| spl0_86
| spl0_87
| spl0_88 ),
inference(sat_conversion,[],[f3867]) ).
cnf(s1170,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_104
| ~ spl0_105 ),
inference(sat_conversion,[],[f3929]) ).
cnf(s1172,plain,
( spl0_37
| ~ spl0_4 ),
inference(rat,[],[s701,s111,s112,s113]) ).
cnf(s1173,plain,
( spl0_34
| ~ spl0_23
| ~ spl0_4 ),
inference(rat,[],[s959,s333,s103,s104,s105]) ).
cnf(s1174,plain,
( spl0_9
| spl0_8
| spl0_7
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s352,s95,s97,s23,s659,s147,s148,s149,s54,s15,s835,s289,s187,s188,s189,s46,s59,s557,s957,s1066,s17,s67,s68,s69,s4,s1173,s22,s1172]) ).
cnf(s1175,plain,
( spl0_50
| ~ spl0_15 ),
inference(rat,[],[s659,s147,s148,s149]) ).
cnf(s1176,plain,
( spl0_64
| ~ spl0_26 ),
inference(rat,[],[s835,s187,s188,s189]) ).
cnf(s1177,plain,
( ~ spl0_57
| ~ spl0_9 ),
inference(rat,[],[s628,s159,s160,s161]) ).
cnf(s1178,plain,
( spl0_29
| ~ spl0_31
| spl0_26
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s11,s804,s699,s95,s97,s22,s1172]) ).
cnf(s1179,plain,
( spl0_20
| ~ spl0_14
| ~ spl0_31 ),
inference(rat,[],[s608,s79,s81]) ).
cnf(s1180,plain,
( spl0_21
| ~ spl0_14
| ~ spl0_27
| ~ spl0_31 ),
inference(rat,[],[s670,s605,s179,s180,s181]) ).
cnf(s1181,plain,
( ~ spl0_15
| ~ spl0_27
| ~ spl0_29
| ~ spl0_71
| ~ spl0_72
| ~ spl0_73
| ~ spl0_31
| spl0_26
| ~ spl0_9
| ~ spl0_23
| spl0_2 ),
inference(rat,[],[s1003,s1017,s139,s140,s141,s56,s1180,s11,s781,s34,s633,s83,s85,s196,s1175,s542,s653,s1177]) ).
cnf(s1182,plain,
( ~ spl0_47
| ~ spl0_23 ),
inference(rat,[],[s772,s139,s140,s141]) ).
cnf(s1183,plain,
( spl0_27
| spl0_36
| spl0_5
| ~ spl0_37
| spl0_2 ),
inference(rat,[],[s232,s33,s46,s108,s107]) ).
cnf(s1185,plain,
( ~ spl0_14
| ~ spl0_31
| spl0_21
| ~ spl0_4
| spl0_3
| spl0_2 ),
inference(rat,[],[s575,s143,s144,s46,s32,s1180,s1179,s1172]) ).
cnf(s1186,plain,
( ~ spl0_31
| ~ spl0_9
| spl0_7
| ~ spl0_4
| spl0_3
| spl0_2 ),
inference(rat,[],[s1181,s12,s6,s1185,s1178,s323,s71,s72,s73,s62,s1068,s179,s180,s181,s56,s1182,s22,s1176,s191,s1177,s1172]) ).
cnf(s1187,plain,
( ~ spl0_35
| ~ spl0_27 ),
inference(rat,[],[s669,s183,s184,s185]) ).
cnf(s1190,plain,
( ~ spl0_48
| ~ spl0_25
| ~ spl0_23
| ~ spl0_4 ),
inference(rat,[],[s788,s143,s144]) ).
cnf(s1191,plain,
( spl0_20
| ~ spl0_44
| ~ spl0_23 ),
inference(rat,[],[s407,s79,s81]) ).
cnf(s1192,plain,
( ~ spl0_48
| spl0_31
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s1187,s46,s29,s575,s1190,s143,s144,s22,s1172]) ).
cnf(s1194,plain,
( spl0_7
| ~ spl0_31
| ~ spl0_4
| spl0_3
| spl0_2 ),
inference(rat,[],[s1065,s167,s168,s48,s588,s143,s144,s32,s1179,s936,s17,s1174,s1186,s1173,s22,s1172]) ).
cnf(s1195,plain,
( spl0_26
| ~ spl0_31
| ~ spl0_4
| spl0_3
| spl0_2 ),
inference(rat,[],[s1156,s91,s92,s93,s13,s11,s1185,s1178,s56,s1182,s22,s1172]) ).
cnf(s1196,plain,
( ~ spl0_14
| spl0_17
| spl0_98
| spl0_99
| spl0_9
| spl0_137
| ~ spl0_138
| ~ spl0_139
| spl0_25
| ~ spl0_26
| ~ spl0_31
| spl0_2 ),
inference(rat,[],[s699,s95,s97,s43,s457,s1175,s76,s77,s24,s7,s489,s250,s8,s1050,s1179]) ).
cnf(s1197,plain,
( ~ spl0_27
| spl0_25
| ~ spl0_26
| ~ spl0_31
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s1066,s957,s67,s68,s69,s4,s936,s1196,s306,s562,s107,s108,s109,s20,s1187,s161,s160,s159,s17,s1177,s191,s1176,s1173,s22,s1172]) ).
cnf(s1199,plain,
( ~ spl0_48
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s575,s143,s144]) ).
cnf(s1200,plain,
( ~ spl0_31
| ~ spl0_4
| spl0_3
| spl0_2 ),
inference(rat,[],[s278,s79,s81,s32,s1199,s46,s1197,s691,s987,s176,s177,s1195,s1194,s22,s1172]) ).
cnf(s1201,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s1187,s46,s29,s267,s375,s562,s107,s108,s109,s31,s28,s1191,s32,s1192,s1200,s1182,s22,s1172,s1]) ).
cnf(s1202,plain,
( ~ spl0_27
| spl0_25
| ~ spl0_31
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s1180,s11,s56,s1197,s1182,s22,s1172]) ).
cnf(s1203,plain,
( spl0_41
| ~ spl0_3 ),
inference(rat,[],[s248,s119,s120,s121]) ).
cnf(s1204,plain,
( spl0_26
| spl0_27
| ~ spl0_31
| ~ spl0_4
| ~ spl0_41
| spl0_2 ),
inference(rat,[],[s557,s1066,s67,s68,s69,s4,s17,s23,s615,s1177,s1175,s147,s148,s58,s54,s1178,s1173,s22,s1172]) ).
cnf(s1206,plain,
( ~ spl0_29
| spl0_38
| spl0_55
| spl0_2 ),
inference(rat,[],[s1175,s23,s43]) ).
cnf(s1207,plain,
( spl0_29
| ~ spl0_11
| ~ spl0_31
| ~ spl0_4 ),
inference(rat,[],[s352,s95,s97]) ).
cnf(s1208,plain,
( ~ spl0_10
| ~ spl0_29
| ~ spl0_33
| ~ spl0_26
| spl0_2 ),
inference(rat,[],[s1206,s557,s458,s1066,s67,s68,s69]) ).
cnf(s1209,plain,
( spl0_50
| ~ spl0_8
| ~ spl0_23 ),
inference(rat,[],[s615,s147,s148]) ).
cnf(s1211,plain,
( spl0_36
| ~ spl0_49
| ~ spl0_11 ),
inference(rat,[],[s232,s107,s108]) ).
cnf(s1212,plain,
( spl0_25
| ~ spl0_31
| ~ spl0_4
| ~ spl0_41
| spl0_2 ),
inference(rat,[],[s450,s183,s185,s20,s1211,s43,s35,s1209,s4,s1208,s1207,s17,s1177,s191,s1176,s1204,s46,s1202,s1173,s22,s1172]) ).
cnf(s1213,plain,
( spl0_21
| ~ spl0_27
| ~ spl0_3 ),
inference(rat,[],[s356,s179,s180]) ).
cnf(s1214,plain,
( ~ spl0_27
| ~ spl0_25
| ~ spl0_4
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s375,s107,s109,s20,s17,s1177,s191,s1176,s56,s1213,s1187,s1173,s1182,s22,s1172]) ).
cnf(s1215,plain,
( ~ spl0_31
| ~ spl0_4
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s1137,s987,s176,s177,s59,s1176,s1204,s1214,s1212,s1203]) ).
cnf(s1216,plain,
( ~ spl0_27
| ~ spl0_4
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s29,s1214,s1187,s1215]) ).
cnf(s1217,plain,
( spl0_26
| spl0_31
| spl0_47
| ~ spl0_41
| spl0_2 ),
inference(rat,[],[s15,s1068,s1177,s179,s180,s181,s58,s56]) ).
cnf(s1218,plain,
( ~ spl0_4
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s406,s31,s95,s97,s1183,s1206,s529,s540,s1033,s450,s183,s184,s185,s29,s360,s15,s175,s176,s1177,s59,s191,s1176,s1217,s1216,s1215,s1182,s22,s1172,s1203]) ).
cnf(s1219,plain,
( spl0_50
| ~ spl0_31
| spl0_38
| spl0_2 ),
inference(rat,[],[s699,s95,s97,s6,s23,s344,s1175,s148,s149]) ).
cnf(s1220,plain,
( ~ spl0_31
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s6,s349,s346,s699,s95,s96,s97,s1206,s455,s54,s1219,s722,s1038,s708,s127,s128,s129,s51,s1218]) ).
cnf(s1221,plain,
( spl0_25
| spl0_26
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s492,s79,s80,s81,s8,s488,s123,s124,s44,s314,s24,s11,s708,s127,s1175,s54,s722,s1038,s128,s129,s51,s1218,s15,s1177,s58,s113,s112,s22,s1182,s1217,s1220,s1203]) ).
cnf(s1222,plain,
( ~ spl0_28
| ~ spl0_25 ),
inference(rat,[],[s1156,s91,s92,s93]) ).
cnf(s1223,plain,
( spl0_26
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s426,s1137,s175,s176,s177,s50,s1222,s1221,s15,s1177,s58,s1203,s1218,s1220]) ).
cnf(s1224,plain,
( ~ spl0_9
| ~ spl0_26
| ~ spl0_3 ),
inference(rat,[],[s246,s112,s113,s191,s1177,s1176]) ).
cnf(s1225,plain,
( spl0_33
| spl0_9
| spl0_15
| spl0_55
| spl0_2 ),
inference(rat,[],[s6,s323,s1069,s71,s72,s73,s103,s104,s105,s39,s17]) ).
cnf(s1226,plain,
( ~ spl0_14
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s492,s79,s80,s81,s8,s488,s123,s124,s44,s314,s24,s1137,s987,s177,s176,s59,s1176,s722,s349,s113,s112,s22,s398,s1058,s15,s1224,s1220,s96,s97,s95,s1206,s455,s1223,s1038,s708,s127,s128,s129,s51,s1218]) ).
cnf(s1227,plain,
( ~ spl0_3
| spl0_2 ),
inference(rat,[],[s328,s87,s88,s89,s10,s6,s1226,s1225,s398,s1058,s15,s1224,s349,s95,s96,s97,s1206,s455,s1223,s1220,s708,s1038,s127,s128,s129,s51,s1218]) ).
cnf(s1228,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s1227,s1201]) ).
cnf(s1229,plain,
~ spl0_2,
inference(rat,[],[s192,s94,s170,s186]) ).
cnf(s1230,plain,
spl0_1,
inference(rat,[],[s1228,s1229]) ).
cnf(s1231,plain,
~ spl0_3,
inference(rat,[],[s1227,s1229]) ).
cnf(s1232,plain,
~ spl0_22,
inference(rat,[],[s809,s83,s84,s85,s1230]) ).
cnf(s1233,plain,
( ~ spl0_31
| spl0_50 ),
inference(rat,[],[s708,s127,s128,s129,s51,s1219,s1200,s1229,s1231]) ).
cnf(s1234,plain,
( ~ spl0_4
| spl0_31 ),
inference(rat,[],[s1187,s46,s29,s267,s375,s562,s107,s108,s109,s31,s28,s1191,s1182,s32,s22,s1192,s1172,s1229,s1231]) ).
cnf(s1235,plain,
( ~ spl0_27
| spl0_31 ),
inference(rat,[],[s790,s1137,s175,s176,s177,s50,s1222,s29,s1187,s1234,s1229]) ).
cnf(s1236,plain,
( spl0_36
| ~ spl0_39
| ~ spl0_14 ),
inference(rat,[],[s874,s107,s108,s1230]) ).
cnf(s1237,plain,
( ~ spl0_23
| ~ spl0_36
| spl0_29 ),
inference(rat,[],[s31,s406,s1182,s97,s95,s1229]) ).
cnf(s1238,plain,
( spl0_25
| spl0_26 ),
inference(rat,[],[s873,s123,s124,s44,s200,s111,s113,s22,s1237,s1236,s24,s11,s23,s708,s127,s128,s129,s51,s1234,s1233,s1175,s196,s1177,s19,s1230,s1229,s1232]) ).
cnf(s1239,plain,
( ~ spl0_23
| spl0_26 ),
inference(rat,[],[s375,s107,s109,s28,s1237,s406,s97,s95,s23,s708,s127,s128,s129,s51,s1234,s1233,s1175,s196,s1177,s19,s1238,s1229,s1232]) ).
cnf(s1240,plain,
spl0_26,
inference(rat,[],[s1170,s115,s116,s6,s25,s857,s266,s1100,s123,s124,s125,s44,s324,s844,s111,s112,s113,s22,s1239,s1238,s708,s127,s128,s129,s51,s1234,s1233,s1175,s196,s1177,s19,s1230,s1229,s1232]) ).
cnf(s1241,plain,
spl0_64,
inference(rat,[],[s1176,s1240]) ).
cnf(s1242,plain,
~ spl0_31,
inference(rat,[],[s1137,s987,s176,s177,s50,s1222,s18,s1177,s196,s1233,s1200,s1240,s1229,s1232,s1231]) ).
cnf(s1244,plain,
~ spl0_27,
inference(rat,[],[s1235,s1242]) ).
cnf(s1246,plain,
spl0_7,
inference(rat,[],[s59,s1241,s1229,s1244]) ).
cnf(s1250,plain,
~ spl0_151,
inference(rat,[],[s177,s1246]) ).
cnf(s1251,plain,
~ spl0_150,
inference(rat,[],[s176,s1246]) ).
cnf(s1254,plain,
~ spl0_173,
inference(rat,[],[s987,s1240,s1250,s1251]) ).
cnf(s1255,plain,
~ spl0_25,
inference(rat,[],[s1137,s1251,s1250,s1254]) ).
cnf(s1257,plain,
spl0_9,
inference(rat,[],[s18,s1232,s1229,s1255]) ).
cnf(s1261,plain,
~ spl0_57,
inference(rat,[],[s1177,s1257]) ).
cnf(s1264,plain,
~ spl0_37,
inference(rat,[],[s191,s1241,s1261]) ).
cnf(s1270,plain,
~ spl0_103,
inference(rat,[],[s113,s1264]) ).
cnf(s1271,plain,
spl0_102,
inference(rat,[],[s112,s1264]) ).
cnf(s1272,plain,
~ spl0_101,
inference(rat,[],[s111,s1264]) ).
cnf(s1277,plain,
spl0_164,
inference(rat,[],[s988,s1240,s1270,s1271]) ).
cnf(s1278,plain,
$false,
inference(rat,[],[s844,s1272,s1257,s1277,s1271]) ).
fof(f3931,plain,
$false,
inference(avatar_sat_refutation,[],[s1278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN465+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n007.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:07:10 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.28 % (2527693)Will run a generic schedule for satisfiability detection.
% 0.37/0.28 % (2527699)% WARNING: option uhcvi not known.
% 0.37/0.28 % (2527699)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=810148690:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.37/0.28 % (2527704)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2369484364:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.37/0.28 % (2527698)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=482126633_2999 on theBenchmark for (2999ds/0Mi)
% 0.37/0.28 % (2527701)dis+10_1_sil=32000:sp=arity:random_seed=521040126:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.37/0.28 % (2527700)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3310465891:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.37/0.28 % (2527702)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2710708901:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.37/0.28 % (2527703)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2390698802:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/0.28 % Detected minimum model sizes of [1]
% 0.37/0.28 % Detected maximum model sizes of [32]
% 0.37/0.28 % TRYING [1]
% 0.37/0.28 % TRYING [2]
% 0.37/0.28 % TRYING [3]
% 0.37/0.28 % TRYING [4]
% 0.37/0.28 % (2527699) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2527693-2527699"...
% 0.37/0.28 % (2527704) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2527693-2527704"...
% 0.37/0.28 % (2527699)...printing done.
% 0.37/0.28 % (2527699)Refutation found. Thanks to Tanya!
% 0.37/0.28 % SZS status Theorem for theBenchmark
% 0.37/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.30 % (2527699)------------------------------
% 0.37/0.30 % (2527699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.30 % (2527699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.30 % (2527699)CaDiCaL version: 2.1.3
% 0.37/0.30 % (2527699)Termination reason: Refutation
% 0.37/0.30 % (2527699)Time elapsed: 0.037 s
% 0.37/0.30 % (2527699)Peak memory usage: 14 MB
% 0.37/0.30 % (2527699)Instructions burned: 99 (million)
% 0.37/0.30 % (2527693)Success in time 0.069 s
% 0.37/0.30 % Vampire exiting
%------------------------------------------------------------------------------