%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN455+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:52:26 PM UTC 2026
% Result : Theorem 0.69s 1.01s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 125
% Syntax : Number of formulae : 794 ( 18 unt; 124 def)
% Number of atoms : 5562 ( 0 equ)
% Maximal formula atoms : 603 ( 7 avg)
% Number of connectives : 7367 (2599 ~;3459 |; 915 &)
% ( 124 <=>; 270 =>; 0 <=; 0 <~>)
% Maximal formula depth : 98 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 161 ( 160 usr; 157 prp; 0-1 aty)
% Number of functors : 31 ( 31 usr; 31 con; 0-0 aty)
% Number of variables : 603 ( 0 sgn 603 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ~ c0_1(a901)
& ~ c1_1(a901)
& ~ c3_1(a901) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a902)
& c2_1(a902)
& ~ c1_1(a902) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a903)
& ~ c2_1(a903)
& ~ c3_1(a903) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a904)
& ~ c1_1(a904)
& ~ c2_1(a904) ) )
& ( ~ hskp4
| ( ndr1_0
& c3_1(a905)
& ~ c0_1(a905)
& ~ c2_1(a905) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a906)
& c2_1(a906)
& ~ c3_1(a906) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a907)
& c1_1(a907)
& ~ c2_1(a907) ) )
& ( ~ hskp7
| ( ndr1_0
& c1_1(a908)
& ~ c2_1(a908)
& ~ c3_1(a908) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a909)
& ~ c0_1(a909)
& ~ c3_1(a909) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a910)
& ~ c1_1(a910)
& ~ c3_1(a910) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a912)
& c2_1(a912)
& ~ c0_1(a912) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a914)
& c3_1(a914)
& ~ c2_1(a914) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a917)
& c3_1(a917)
& ~ c2_1(a917) ) )
& ( ~ hskp13
| ( ndr1_0
& c2_1(a921)
& ~ c0_1(a921)
& ~ c3_1(a921) ) )
& ( ~ hskp14
| ( ndr1_0
& c3_1(a923)
& ~ c0_1(a923)
& ~ c1_1(a923) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a924)
& ~ c0_1(a924)
& ~ c1_1(a924) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a926)
& c2_1(a926)
& ~ c3_1(a926) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ c1_1(a936)
& ~ c2_1(a936)
& ~ c3_1(a936) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a937)
& ~ c0_1(a937)
& ~ c2_1(a937) ) )
& ( ~ hskp19
| ( ndr1_0
& c2_1(a938)
& c3_1(a938)
& ~ c0_1(a938) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a939)
& ~ c1_1(a939)
& ~ c3_1(a939) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ c0_1(a946)
& ~ c2_1(a946)
& ~ c3_1(a946) ) )
& ( ~ hskp22
| ( ndr1_0
& c2_1(a949)
& c3_1(a949)
& ~ c1_1(a949) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a954)
& c3_1(a954)
& ~ c0_1(a954) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ c0_1(a959)
& ~ c1_1(a959)
& ~ c2_1(a959) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a960)
& c3_1(a960)
& ~ c1_1(a960) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a979)
& c1_1(a979)
& ~ c3_1(a979) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a900)
& c2_1(a900)
& c3_1(a900) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a916)
& c1_1(a916)
& c3_1(a916) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a933)
& c2_1(a933)
& c3_1(a933) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a942)
& c1_1(a942)
& c2_1(a942) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c3_1(X4)
| ~ c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| c3_1(X5)
| ~ c0_1(X5) ) ) )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c2_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| ~ c1_1(X7)
| ~ c3_1(X7) ) )
| hskp27 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c2_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c2_1(X9)
| ~ c0_1(X9)
| ~ c3_1(X9) ) )
| hskp0 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c3_1(X11)
| ~ c0_1(X11)
| ~ c2_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| ~ c1_1(X12)
| ~ c2_1(X12) ) ) )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| c2_1(X13) ) )
| hskp1
| hskp2 )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| c3_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c2_1(X15)
| c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c2_1(X16)
| c3_1(X16)
| ~ c0_1(X16) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| c3_1(X17) ) )
| ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| ~ c1_1(X18)
| ~ c2_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c2_1(X19)
| c3_1(X19)
| ~ c0_1(X19) ) ) )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c1_1(X20)
| ~ c2_1(X20) ) )
| hskp3
| hskp4 )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c1_1(X22)
| ~ c2_1(X22)
| ~ c3_1(X22) ) )
| hskp5 )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c1_1(X23)
| ~ c3_1(X23) ) )
| hskp6
| hskp7 )
& ( ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| c2_1(X24)
| c3_1(X24) ) )
| ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| ~ c1_1(X25)
| ~ c3_1(X25) ) )
| hskp8 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| c3_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c1_1(X27)
| c2_1(X27)
| ~ c0_1(X27) ) )
| hskp9 )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c2_1(X28)
| c3_1(X28) ) )
| hskp27
| hskp10 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c3_1(X29)
| ~ c1_1(X29) ) )
| hskp6
| hskp11 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c3_1(X30)
| ~ c2_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| ~ c2_1(X31)
| ~ c3_1(X31) ) )
| hskp5 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c3_1(X32)
| ~ c2_1(X32) ) )
| hskp28
| hskp12 )
& ( ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c3_1(X33)
| ~ c2_1(X33) ) )
| hskp2
| hskp0 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| ~ c1_1(X34)
| ~ c2_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c1_1(X35)
| c3_1(X35)
| ~ c2_1(X35) ) )
| ! [X36] :
( ndr1_0
=> ( c2_1(X36)
| ~ c1_1(X36)
| ~ c3_1(X36) ) ) )
& ( ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37) ) )
| hskp3
| hskp13 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38) ) )
| hskp7
| hskp14 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| ~ c2_1(X39)
| ~ c3_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40) ) )
| hskp15 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X41) ) )
| hskp28
| hskp16 )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42) ) )
| hskp7
| hskp13 )
& ( ! [X43] :
( ndr1_0
=> ( c1_1(X43)
| c2_1(X43)
| c3_1(X43) ) )
| hskp11
| hskp27 )
& ( ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| c2_1(X44)
| c3_1(X44) ) )
| hskp27
| hskp9 )
& ( ! [X45] :
( ndr1_0
=> ( c1_1(X45)
| c2_1(X45)
| ~ c0_1(X45) ) )
| ! [X46] :
( ndr1_0
=> ( c1_1(X46)
| ~ c0_1(X46)
| ~ c3_1(X46) ) )
| hskp29 )
& ( ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| c2_1(X47)
| ~ c0_1(X47) ) )
| ! [X48] :
( ndr1_0
=> ( ~ c0_1(X48)
| ~ c1_1(X48)
| ~ c3_1(X48) ) )
| hskp15 )
& ( ! [X49] :
( ndr1_0
=> ( c1_1(X49)
| c2_1(X49)
| ~ c0_1(X49) ) )
| hskp12
| hskp17 )
& ( ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| c2_1(X50)
| ~ c0_1(X50) ) )
| hskp18
| hskp19 )
& ( ! [X51] :
( ndr1_0
=> ( c1_1(X51)
| c2_1(X51)
| ~ c3_1(X51) ) )
| hskp20
| hskp18 )
& ( ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c3_1(X52)
| ~ c0_1(X52) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c0_1(X53)
| ~ c2_1(X53)
| ~ c3_1(X53) ) )
| hskp9 )
& ( ! [X54] :
( ndr1_0
=> ( c1_1(X54)
| c3_1(X54)
| ~ c0_1(X54) ) )
| hskp30
| hskp7 )
& ( ! [X55] :
( ndr1_0
=> ( c1_1(X55)
| ~ c0_1(X55)
| ~ c2_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c2_1(X56)
| c3_1(X56)
| ~ c1_1(X56) ) )
| hskp27 )
& ( ! [X57] :
( ndr1_0
=> ( c1_1(X57)
| ~ c0_1(X57)
| ~ c2_1(X57) ) )
| ! [X58] :
( ndr1_0
=> ( c2_1(X58)
| ~ c0_1(X58)
| ~ c1_1(X58) ) )
| hskp0 )
& ( ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| ~ c0_1(X59)
| ~ c3_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( c2_1(X60)
| c3_1(X60)
| ~ c1_1(X60) ) )
| hskp21 )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| ~ c0_1(X61)
| ~ c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( ~ c0_1(X62)
| ~ c1_1(X62)
| ~ c3_1(X62) ) )
| hskp1 )
& ( ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| ~ c0_1(X63)
| ~ c3_1(X63) ) )
| hskp28 )
& ( ! [X64] :
( ndr1_0
=> ( c2_1(X64)
| c3_1(X64)
| ~ c0_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( c2_1(X65)
| ~ c1_1(X65)
| ~ c3_1(X65) ) )
| hskp22 )
& ( ! [X66] :
( ndr1_0
=> ( c2_1(X66)
| c3_1(X66)
| ~ c0_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| ~ c0_1(X67)
| ~ c1_1(X67) ) )
| hskp0 )
& ( ! [X68] :
( ndr1_0
=> ( c2_1(X68)
| c3_1(X68)
| ~ c0_1(X68) ) )
| hskp6
| hskp14 )
& ( ! [X69] :
( ndr1_0
=> ( c2_1(X69)
| c3_1(X69)
| ~ c0_1(X69) ) )
| hskp1
| hskp23 )
& ( ! [X70] :
( ndr1_0
=> ( c2_1(X70)
| c3_1(X70)
| ~ c1_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( c2_1(X71)
| ~ c1_1(X71)
| ~ c3_1(X71) ) ) )
& ( ! [X72] :
( ndr1_0
=> ( c2_1(X72)
| c3_1(X72)
| ~ c1_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c3_1(X73)
| ~ c0_1(X73)
| ~ c2_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c0_1(X74)
| ~ c1_1(X74)
| ~ c3_1(X74) ) ) )
& ( ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| c3_1(X75)
| ~ c1_1(X75) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c1_1(X76)
| ~ c2_1(X76)
| ~ c3_1(X76) ) )
| hskp16 )
& ( ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| c3_1(X77)
| ~ c1_1(X77) ) )
| hskp30
| hskp9 )
& ( ! [X78] :
( ndr1_0
=> ( c2_1(X78)
| ~ c0_1(X78)
| ~ c1_1(X78) ) )
| hskp30
| hskp24 )
& ( ! [X79] :
( ndr1_0
=> ( c2_1(X79)
| ~ c0_1(X79)
| ~ c3_1(X79) ) )
| ! [X80] :
( ndr1_0
=> ( c3_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80) ) )
| hskp25 )
& ( ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81) ) )
| hskp1
| hskp10 )
& ( ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| ~ c0_1(X82)
| ~ c3_1(X82) ) )
| hskp5
| hskp7 )
& ( ! [X83] :
( ndr1_0
=> ( c2_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83) ) )
| hskp25
| hskp21 )
& ( ! [X84] :
( ndr1_0
=> ( c2_1(X84)
| ~ c1_1(X84)
| ~ c3_1(X84) ) )
| hskp10
| hskp21 )
& ( ! [X85] :
( ndr1_0
=> ( c3_1(X85)
| ~ c0_1(X85)
| ~ c1_1(X85) ) )
| hskp27
| hskp13 )
& ( ! [X86] :
( ndr1_0
=> ( c3_1(X86)
| ~ c0_1(X86)
| ~ c2_1(X86) ) )
| hskp30
| hskp17 )
& ( ! [X87] :
( ndr1_0
=> ( c3_1(X87)
| ~ c1_1(X87)
| ~ c2_1(X87) ) )
| hskp20
| hskp8 )
& ( ! [X88] :
( ndr1_0
=> ( ~ c0_1(X88)
| ~ c2_1(X88)
| ~ c3_1(X88) ) )
| hskp23
| hskp15 )
& ( ! [X89] :
( ndr1_0
=> ( ~ c1_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89) ) )
| hskp11
| hskp12 )
& ( hskp26
| hskp5
| hskp21 )
& ( hskp20
| hskp14
| hskp4 )
& ( hskp12
| hskp13
| hskp21 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f2,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ~ c0_1(a901)
& ~ c1_1(a901)
& ~ c3_1(a901) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a902)
& c2_1(a902)
& ~ c1_1(a902) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a903)
& ~ c2_1(a903)
& ~ c3_1(a903) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a904)
& ~ c1_1(a904)
& ~ c2_1(a904) ) )
& ( ~ hskp4
| ( ndr1_0
& c3_1(a905)
& ~ c0_1(a905)
& ~ c2_1(a905) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a906)
& c2_1(a906)
& ~ c3_1(a906) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a907)
& c1_1(a907)
& ~ c2_1(a907) ) )
& ( ~ hskp7
| ( ndr1_0
& c1_1(a908)
& ~ c2_1(a908)
& ~ c3_1(a908) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a909)
& ~ c0_1(a909)
& ~ c3_1(a909) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a910)
& ~ c1_1(a910)
& ~ c3_1(a910) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a912)
& c2_1(a912)
& ~ c0_1(a912) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a914)
& c3_1(a914)
& ~ c2_1(a914) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a917)
& c3_1(a917)
& ~ c2_1(a917) ) )
& ( ~ hskp13
| ( ndr1_0
& c2_1(a921)
& ~ c0_1(a921)
& ~ c3_1(a921) ) )
& ( ~ hskp14
| ( ndr1_0
& c3_1(a923)
& ~ c0_1(a923)
& ~ c1_1(a923) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a924)
& ~ c0_1(a924)
& ~ c1_1(a924) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a926)
& c2_1(a926)
& ~ c3_1(a926) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ c1_1(a936)
& ~ c2_1(a936)
& ~ c3_1(a936) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a937)
& ~ c0_1(a937)
& ~ c2_1(a937) ) )
& ( ~ hskp19
| ( ndr1_0
& c2_1(a938)
& c3_1(a938)
& ~ c0_1(a938) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a939)
& ~ c1_1(a939)
& ~ c3_1(a939) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ c0_1(a946)
& ~ c2_1(a946)
& ~ c3_1(a946) ) )
& ( ~ hskp22
| ( ndr1_0
& c2_1(a949)
& c3_1(a949)
& ~ c1_1(a949) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a954)
& c3_1(a954)
& ~ c0_1(a954) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ c0_1(a959)
& ~ c1_1(a959)
& ~ c2_1(a959) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a960)
& c3_1(a960)
& ~ c1_1(a960) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a979)
& c1_1(a979)
& ~ c3_1(a979) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a900)
& c2_1(a900)
& c3_1(a900) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a916)
& c1_1(a916)
& c3_1(a916) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a933)
& c2_1(a933)
& c3_1(a933) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a942)
& c1_1(a942)
& c2_1(a942) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c3_1(X4)
| ~ c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| c3_1(X5)
| ~ c0_1(X5) ) ) )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c2_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| ~ c1_1(X7)
| ~ c3_1(X7) ) )
| hskp27 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c2_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c2_1(X9)
| ~ c0_1(X9)
| ~ c3_1(X9) ) )
| hskp0 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c3_1(X11)
| ~ c0_1(X11)
| ~ c2_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| ~ c1_1(X12)
| ~ c2_1(X12) ) ) )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| c2_1(X13) ) )
| hskp1
| hskp2 )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| c3_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c2_1(X15)
| c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c2_1(X16)
| c3_1(X16)
| ~ c0_1(X16) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| c3_1(X17) ) )
| ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| ~ c1_1(X18)
| ~ c2_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c2_1(X19)
| c3_1(X19)
| ~ c0_1(X19) ) ) )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c1_1(X20)
| ~ c2_1(X20) ) )
| hskp3
| hskp4 )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c1_1(X22)
| ~ c2_1(X22)
| ~ c3_1(X22) ) )
| hskp5 )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c1_1(X23)
| ~ c3_1(X23) ) )
| hskp6
| hskp7 )
& ( ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| c2_1(X24)
| c3_1(X24) ) )
| ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| ~ c1_1(X25)
| ~ c3_1(X25) ) )
| hskp8 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| c3_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c1_1(X27)
| c2_1(X27)
| ~ c0_1(X27) ) )
| hskp9 )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c2_1(X28)
| c3_1(X28) ) )
| hskp27
| hskp10 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c3_1(X29)
| ~ c1_1(X29) ) )
| hskp6
| hskp11 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c3_1(X30)
| ~ c2_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| ~ c2_1(X31)
| ~ c3_1(X31) ) )
| hskp5 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c3_1(X32)
| ~ c2_1(X32) ) )
| hskp28
| hskp12 )
& ( ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c3_1(X33)
| ~ c2_1(X33) ) )
| hskp2
| hskp0 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| ~ c1_1(X34)
| ~ c2_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c1_1(X35)
| c3_1(X35)
| ~ c2_1(X35) ) )
| ! [X36] :
( ndr1_0
=> ( c2_1(X36)
| ~ c1_1(X36)
| ~ c3_1(X36) ) ) )
& ( ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37) ) )
| hskp3
| hskp13 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38) ) )
| hskp7
| hskp14 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| ~ c2_1(X39)
| ~ c3_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40) ) )
| hskp15 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X41) ) )
| hskp28
| hskp16 )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42) ) )
| hskp7
| hskp13 )
& ( ! [X43] :
( ndr1_0
=> ( c1_1(X43)
| c2_1(X43)
| c3_1(X43) ) )
| hskp11
| hskp27 )
& ( ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| c2_1(X44)
| c3_1(X44) ) )
| hskp27
| hskp9 )
& ( ! [X45] :
( ndr1_0
=> ( c1_1(X45)
| c2_1(X45)
| ~ c0_1(X45) ) )
| ! [X46] :
( ndr1_0
=> ( c1_1(X46)
| ~ c0_1(X46)
| ~ c3_1(X46) ) )
| hskp29 )
& ( ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| c2_1(X47)
| ~ c0_1(X47) ) )
| ! [X48] :
( ndr1_0
=> ( ~ c0_1(X48)
| ~ c1_1(X48)
| ~ c3_1(X48) ) )
| hskp15 )
& ( ! [X49] :
( ndr1_0
=> ( c1_1(X49)
| c2_1(X49)
| ~ c0_1(X49) ) )
| hskp12
| hskp17 )
& ( ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| c2_1(X50)
| ~ c0_1(X50) ) )
| hskp18
| hskp19 )
& ( ! [X51] :
( ndr1_0
=> ( c1_1(X51)
| c2_1(X51)
| ~ c3_1(X51) ) )
| hskp20
| hskp18 )
& ( ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c3_1(X52)
| ~ c0_1(X52) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c0_1(X53)
| ~ c2_1(X53)
| ~ c3_1(X53) ) )
| hskp9 )
& ( ! [X54] :
( ndr1_0
=> ( c1_1(X54)
| c3_1(X54)
| ~ c0_1(X54) ) )
| hskp30
| hskp7 )
& ( ! [X55] :
( ndr1_0
=> ( c1_1(X55)
| ~ c0_1(X55)
| ~ c2_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c2_1(X56)
| c3_1(X56)
| ~ c1_1(X56) ) )
| hskp27 )
& ( ! [X57] :
( ndr1_0
=> ( c1_1(X57)
| ~ c0_1(X57)
| ~ c2_1(X57) ) )
| ! [X58] :
( ndr1_0
=> ( c2_1(X58)
| ~ c0_1(X58)
| ~ c1_1(X58) ) )
| hskp0 )
& ( ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| ~ c0_1(X59)
| ~ c3_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( c2_1(X60)
| c3_1(X60)
| ~ c1_1(X60) ) )
| hskp21 )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| ~ c0_1(X61)
| ~ c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( ~ c0_1(X62)
| ~ c1_1(X62)
| ~ c3_1(X62) ) )
| hskp1 )
& ( ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| ~ c0_1(X63)
| ~ c3_1(X63) ) )
| hskp28 )
& ( ! [X64] :
( ndr1_0
=> ( c2_1(X64)
| c3_1(X64)
| ~ c0_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( c2_1(X65)
| ~ c1_1(X65)
| ~ c3_1(X65) ) )
| hskp22 )
& ( ! [X66] :
( ndr1_0
=> ( c2_1(X66)
| c3_1(X66)
| ~ c0_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| ~ c0_1(X67)
| ~ c1_1(X67) ) )
| hskp0 )
& ( ! [X68] :
( ndr1_0
=> ( c2_1(X68)
| c3_1(X68)
| ~ c0_1(X68) ) )
| hskp6
| hskp14 )
& ( ! [X69] :
( ndr1_0
=> ( c2_1(X69)
| c3_1(X69)
| ~ c0_1(X69) ) )
| hskp1
| hskp23 )
& ( ! [X70] :
( ndr1_0
=> ( c2_1(X70)
| c3_1(X70)
| ~ c1_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( c2_1(X71)
| ~ c1_1(X71)
| ~ c3_1(X71) ) ) )
& ( ! [X72] :
( ndr1_0
=> ( c2_1(X72)
| c3_1(X72)
| ~ c1_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c3_1(X73)
| ~ c0_1(X73)
| ~ c2_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c0_1(X74)
| ~ c1_1(X74)
| ~ c3_1(X74) ) ) )
& ( ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| c3_1(X75)
| ~ c1_1(X75) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c1_1(X76)
| ~ c2_1(X76)
| ~ c3_1(X76) ) )
| hskp16 )
& ( ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| c3_1(X77)
| ~ c1_1(X77) ) )
| hskp30
| hskp9 )
& ( ! [X78] :
( ndr1_0
=> ( c2_1(X78)
| ~ c0_1(X78)
| ~ c1_1(X78) ) )
| hskp30
| hskp24 )
& ( ! [X79] :
( ndr1_0
=> ( c2_1(X79)
| ~ c0_1(X79)
| ~ c3_1(X79) ) )
| ! [X80] :
( ndr1_0
=> ( c3_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80) ) )
| hskp25 )
& ( ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81) ) )
| hskp1
| hskp10 )
& ( ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| ~ c0_1(X82)
| ~ c3_1(X82) ) )
| hskp5
| hskp7 )
& ( ! [X83] :
( ndr1_0
=> ( c2_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83) ) )
| hskp25
| hskp21 )
& ( ! [X84] :
( ndr1_0
=> ( c2_1(X84)
| ~ c1_1(X84)
| ~ c3_1(X84) ) )
| hskp10
| hskp21 )
& ( ! [X85] :
( ndr1_0
=> ( c3_1(X85)
| ~ c0_1(X85)
| ~ c1_1(X85) ) )
| hskp27
| hskp13 )
& ( ! [X86] :
( ndr1_0
=> ( c3_1(X86)
| ~ c0_1(X86)
| ~ c2_1(X86) ) )
| hskp30
| hskp17 )
& ( ! [X87] :
( ndr1_0
=> ( c3_1(X87)
| ~ c1_1(X87)
| ~ c2_1(X87) ) )
| hskp20
| hskp8 )
& ( ! [X88] :
( ndr1_0
=> ( ~ c0_1(X88)
| ~ c2_1(X88)
| ~ c3_1(X88) ) )
| hskp23
| hskp15 )
& ( ! [X89] :
( ndr1_0
=> ( ~ c1_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89) ) )
| hskp11
| hskp12 )
& ( hskp26
| hskp5
| hskp21 )
& ( hskp20
| hskp14
| hskp4 )
& ( hskp12
| hskp13
| hskp21 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ~ hskp0
| ( ndr1_0
& ~ c0_1(a901)
& ~ c1_1(a901)
& ~ c3_1(a901) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a902)
& c2_1(a902)
& ~ c1_1(a902) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a903)
& ~ c2_1(a903)
& ~ c3_1(a903) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a904)
& ~ c1_1(a904)
& ~ c2_1(a904) ) )
& ( ~ hskp4
| ( ndr1_0
& c3_1(a905)
& ~ c0_1(a905)
& ~ c2_1(a905) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a906)
& c2_1(a906)
& ~ c3_1(a906) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a907)
& c1_1(a907)
& ~ c2_1(a907) ) )
& ( ~ hskp7
| ( ndr1_0
& c1_1(a908)
& ~ c2_1(a908)
& ~ c3_1(a908) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a909)
& ~ c0_1(a909)
& ~ c3_1(a909) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a910)
& ~ c1_1(a910)
& ~ c3_1(a910) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a912)
& c2_1(a912)
& ~ c0_1(a912) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a914)
& c3_1(a914)
& ~ c2_1(a914) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a917)
& c3_1(a917)
& ~ c2_1(a917) ) )
& ( ~ hskp13
| ( ndr1_0
& c2_1(a921)
& ~ c0_1(a921)
& ~ c3_1(a921) ) )
& ( ~ hskp14
| ( ndr1_0
& c3_1(a923)
& ~ c0_1(a923)
& ~ c1_1(a923) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a924)
& ~ c0_1(a924)
& ~ c1_1(a924) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a926)
& c2_1(a926)
& ~ c3_1(a926) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ c1_1(a936)
& ~ c2_1(a936)
& ~ c3_1(a936) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a937)
& ~ c0_1(a937)
& ~ c2_1(a937) ) )
& ( ~ hskp19
| ( ndr1_0
& c2_1(a938)
& c3_1(a938)
& ~ c0_1(a938) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a939)
& ~ c1_1(a939)
& ~ c3_1(a939) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ c0_1(a946)
& ~ c2_1(a946)
& ~ c3_1(a946) ) )
& ( ~ hskp22
| ( ndr1_0
& c2_1(a949)
& c3_1(a949)
& ~ c1_1(a949) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a954)
& c3_1(a954)
& ~ c0_1(a954) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ c0_1(a959)
& ~ c1_1(a959)
& ~ c2_1(a959) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a960)
& c3_1(a960)
& ~ c1_1(a960) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a979)
& c1_1(a979)
& ~ c3_1(a979) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a900)
& c2_1(a900)
& c3_1(a900) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a916)
& c1_1(a916)
& c3_1(a916) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a933)
& c2_1(a933)
& c3_1(a933) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a942)
& c1_1(a942)
& c2_1(a942) ) )
& ( ! [X0] :
( ndr1_0
=> ( c0_1(X0)
| c1_1(X0)
| c2_1(X0) ) )
| ! [X1] :
( ndr1_0
=> ( c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) ) ) )
& ( ! [X3] :
( ndr1_0
=> ( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( c0_1(X4)
| c3_1(X4)
| ~ c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| c3_1(X5)
| ~ c0_1(X5) ) ) )
& ( ! [X6] :
( ndr1_0
=> ( c0_1(X6)
| c1_1(X6)
| c2_1(X6) ) )
| ! [X7] :
( ndr1_0
=> ( c0_1(X7)
| ~ c1_1(X7)
| ~ c3_1(X7) ) )
| hskp27 )
& ( ! [X8] :
( ndr1_0
=> ( c0_1(X8)
| c1_1(X8)
| c2_1(X8) ) )
| ! [X9] :
( ndr1_0
=> ( c2_1(X9)
| ~ c0_1(X9)
| ~ c3_1(X9) ) )
| hskp0 )
& ( ! [X10] :
( ndr1_0
=> ( c0_1(X10)
| c1_1(X10)
| c2_1(X10) ) )
| ! [X11] :
( ndr1_0
=> ( c3_1(X11)
| ~ c0_1(X11)
| ~ c2_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( c3_1(X12)
| ~ c1_1(X12)
| ~ c2_1(X12) ) ) )
& ( ! [X13] :
( ndr1_0
=> ( c0_1(X13)
| c1_1(X13)
| c2_1(X13) ) )
| hskp1
| hskp2 )
& ( ! [X14] :
( ndr1_0
=> ( c0_1(X14)
| c1_1(X14)
| c3_1(X14) ) )
| ! [X15] :
( ndr1_0
=> ( c0_1(X15)
| c2_1(X15)
| c3_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c2_1(X16)
| c3_1(X16)
| ~ c0_1(X16) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( c0_1(X17)
| c1_1(X17)
| c3_1(X17) ) )
| ! [X18] :
( ndr1_0
=> ( c0_1(X18)
| ~ c1_1(X18)
| ~ c2_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ( c2_1(X19)
| c3_1(X19)
| ~ c0_1(X19) ) ) )
& ( ! [X20] :
( ndr1_0
=> ( c0_1(X20)
| c1_1(X20)
| ~ c2_1(X20) ) )
| hskp3
| hskp4 )
& ( ! [X21] :
( ndr1_0
=> ( c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( ~ c1_1(X22)
| ~ c2_1(X22)
| ~ c3_1(X22) ) )
| hskp5 )
& ( ! [X23] :
( ndr1_0
=> ( c0_1(X23)
| c1_1(X23)
| ~ c3_1(X23) ) )
| hskp6
| hskp7 )
& ( ! [X24] :
( ndr1_0
=> ( c0_1(X24)
| c2_1(X24)
| c3_1(X24) ) )
| ! [X25] :
( ndr1_0
=> ( c0_1(X25)
| ~ c1_1(X25)
| ~ c3_1(X25) ) )
| hskp8 )
& ( ! [X26] :
( ndr1_0
=> ( c0_1(X26)
| c2_1(X26)
| c3_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( c1_1(X27)
| c2_1(X27)
| ~ c0_1(X27) ) )
| hskp9 )
& ( ! [X28] :
( ndr1_0
=> ( c0_1(X28)
| c2_1(X28)
| c3_1(X28) ) )
| hskp27
| hskp10 )
& ( ! [X29] :
( ndr1_0
=> ( c0_1(X29)
| c3_1(X29)
| ~ c1_1(X29) ) )
| hskp6
| hskp11 )
& ( ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c3_1(X30)
| ~ c2_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( c0_1(X31)
| ~ c2_1(X31)
| ~ c3_1(X31) ) )
| hskp5 )
& ( ! [X32] :
( ndr1_0
=> ( c0_1(X32)
| c3_1(X32)
| ~ c2_1(X32) ) )
| hskp28
| hskp12 )
& ( ! [X33] :
( ndr1_0
=> ( c0_1(X33)
| c3_1(X33)
| ~ c2_1(X33) ) )
| hskp2
| hskp0 )
& ( ! [X34] :
( ndr1_0
=> ( c0_1(X34)
| ~ c1_1(X34)
| ~ c2_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( c1_1(X35)
| c3_1(X35)
| ~ c2_1(X35) ) )
| ! [X36] :
( ndr1_0
=> ( c2_1(X36)
| ~ c1_1(X36)
| ~ c3_1(X36) ) ) )
& ( ! [X37] :
( ndr1_0
=> ( c0_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37) ) )
| hskp3
| hskp13 )
& ( ! [X38] :
( ndr1_0
=> ( c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38) ) )
| hskp7
| hskp14 )
& ( ! [X39] :
( ndr1_0
=> ( c0_1(X39)
| ~ c2_1(X39)
| ~ c3_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( ~ c1_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40) ) )
| hskp15 )
& ( ! [X41] :
( ndr1_0
=> ( c0_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X41) ) )
| hskp28
| hskp16 )
& ( ! [X42] :
( ndr1_0
=> ( c0_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42) ) )
| hskp7
| hskp13 )
& ( ! [X43] :
( ndr1_0
=> ( c1_1(X43)
| c2_1(X43)
| c3_1(X43) ) )
| hskp11
| hskp27 )
& ( ! [X44] :
( ndr1_0
=> ( c1_1(X44)
| c2_1(X44)
| c3_1(X44) ) )
| hskp27
| hskp9 )
& ( ! [X45] :
( ndr1_0
=> ( c1_1(X45)
| c2_1(X45)
| ~ c0_1(X45) ) )
| ! [X46] :
( ndr1_0
=> ( c1_1(X46)
| ~ c0_1(X46)
| ~ c3_1(X46) ) )
| hskp29 )
& ( ! [X47] :
( ndr1_0
=> ( c1_1(X47)
| c2_1(X47)
| ~ c0_1(X47) ) )
| ! [X48] :
( ndr1_0
=> ( ~ c0_1(X48)
| ~ c1_1(X48)
| ~ c3_1(X48) ) )
| hskp15 )
& ( ! [X49] :
( ndr1_0
=> ( c1_1(X49)
| c2_1(X49)
| ~ c0_1(X49) ) )
| hskp12
| hskp17 )
& ( ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| c2_1(X50)
| ~ c0_1(X50) ) )
| hskp18
| hskp19 )
& ( ! [X51] :
( ndr1_0
=> ( c1_1(X51)
| c2_1(X51)
| ~ c3_1(X51) ) )
| hskp20
| hskp18 )
& ( ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| c3_1(X52)
| ~ c0_1(X52) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c0_1(X53)
| ~ c2_1(X53)
| ~ c3_1(X53) ) )
| hskp9 )
& ( ! [X54] :
( ndr1_0
=> ( c1_1(X54)
| c3_1(X54)
| ~ c0_1(X54) ) )
| hskp30
| hskp7 )
& ( ! [X55] :
( ndr1_0
=> ( c1_1(X55)
| ~ c0_1(X55)
| ~ c2_1(X55) ) )
| ! [X56] :
( ndr1_0
=> ( c2_1(X56)
| c3_1(X56)
| ~ c1_1(X56) ) )
| hskp27 )
& ( ! [X57] :
( ndr1_0
=> ( c1_1(X57)
| ~ c0_1(X57)
| ~ c2_1(X57) ) )
| ! [X58] :
( ndr1_0
=> ( c2_1(X58)
| ~ c0_1(X58)
| ~ c1_1(X58) ) )
| hskp0 )
& ( ! [X59] :
( ndr1_0
=> ( c1_1(X59)
| ~ c0_1(X59)
| ~ c3_1(X59) ) )
| ! [X60] :
( ndr1_0
=> ( c2_1(X60)
| c3_1(X60)
| ~ c1_1(X60) ) )
| hskp21 )
& ( ! [X61] :
( ndr1_0
=> ( c1_1(X61)
| ~ c0_1(X61)
| ~ c3_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( ~ c0_1(X62)
| ~ c1_1(X62)
| ~ c3_1(X62) ) )
| hskp1 )
& ( ! [X63] :
( ndr1_0
=> ( c1_1(X63)
| ~ c0_1(X63)
| ~ c3_1(X63) ) )
| hskp28 )
& ( ! [X64] :
( ndr1_0
=> ( c2_1(X64)
| c3_1(X64)
| ~ c0_1(X64) ) )
| ! [X65] :
( ndr1_0
=> ( c2_1(X65)
| ~ c1_1(X65)
| ~ c3_1(X65) ) )
| hskp22 )
& ( ! [X66] :
( ndr1_0
=> ( c2_1(X66)
| c3_1(X66)
| ~ c0_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( c3_1(X67)
| ~ c0_1(X67)
| ~ c1_1(X67) ) )
| hskp0 )
& ( ! [X68] :
( ndr1_0
=> ( c2_1(X68)
| c3_1(X68)
| ~ c0_1(X68) ) )
| hskp6
| hskp14 )
& ( ! [X69] :
( ndr1_0
=> ( c2_1(X69)
| c3_1(X69)
| ~ c0_1(X69) ) )
| hskp1
| hskp23 )
& ( ! [X70] :
( ndr1_0
=> ( c2_1(X70)
| c3_1(X70)
| ~ c1_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( c2_1(X71)
| ~ c1_1(X71)
| ~ c3_1(X71) ) ) )
& ( ! [X72] :
( ndr1_0
=> ( c2_1(X72)
| c3_1(X72)
| ~ c1_1(X72) ) )
| ! [X73] :
( ndr1_0
=> ( c3_1(X73)
| ~ c0_1(X73)
| ~ c2_1(X73) ) )
| ! [X74] :
( ndr1_0
=> ( ~ c0_1(X74)
| ~ c1_1(X74)
| ~ c3_1(X74) ) ) )
& ( ! [X75] :
( ndr1_0
=> ( c2_1(X75)
| c3_1(X75)
| ~ c1_1(X75) ) )
| ! [X76] :
( ndr1_0
=> ( ~ c1_1(X76)
| ~ c2_1(X76)
| ~ c3_1(X76) ) )
| hskp16 )
& ( ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| c3_1(X77)
| ~ c1_1(X77) ) )
| hskp30
| hskp9 )
& ( ! [X78] :
( ndr1_0
=> ( c2_1(X78)
| ~ c0_1(X78)
| ~ c1_1(X78) ) )
| hskp30
| hskp24 )
& ( ! [X79] :
( ndr1_0
=> ( c2_1(X79)
| ~ c0_1(X79)
| ~ c3_1(X79) ) )
| ! [X80] :
( ndr1_0
=> ( c3_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80) ) )
| hskp25 )
& ( ! [X81] :
( ndr1_0
=> ( c2_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81) ) )
| hskp1
| hskp10 )
& ( ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| ~ c0_1(X82)
| ~ c3_1(X82) ) )
| hskp5
| hskp7 )
& ( ! [X83] :
( ndr1_0
=> ( c2_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83) ) )
| hskp25
| hskp21 )
& ( ! [X84] :
( ndr1_0
=> ( c2_1(X84)
| ~ c1_1(X84)
| ~ c3_1(X84) ) )
| hskp10
| hskp21 )
& ( ! [X85] :
( ndr1_0
=> ( c3_1(X85)
| ~ c0_1(X85)
| ~ c1_1(X85) ) )
| hskp27
| hskp13 )
& ( ! [X86] :
( ndr1_0
=> ( c3_1(X86)
| ~ c0_1(X86)
| ~ c2_1(X86) ) )
| hskp30
| hskp17 )
& ( ! [X87] :
( ndr1_0
=> ( c3_1(X87)
| ~ c1_1(X87)
| ~ c2_1(X87) ) )
| hskp20
| hskp8 )
& ( ! [X88] :
( ndr1_0
=> ( ~ c0_1(X88)
| ~ c2_1(X88)
| ~ c3_1(X88) ) )
| hskp23
| hskp15 )
& ( ! [X89] :
( ndr1_0
=> ( ~ c1_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89) ) )
| hskp11
| hskp12 )
& ( hskp26
| hskp5
| hskp21 )
& ( hskp20
| hskp14
| hskp4 )
& ( hskp12
| hskp13
| hskp21 ) ),
inference(flattening,[],[f2]) ).
fof(f4,plain,
( ( ~ hskp0
| ( ndr1_0
& ~ c0_1(a901)
& ~ c1_1(a901)
& ~ c3_1(a901) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a902)
& c2_1(a902)
& ~ c1_1(a902) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a903)
& ~ c2_1(a903)
& ~ c3_1(a903) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a904)
& ~ c1_1(a904)
& ~ c2_1(a904) ) )
& ( ~ hskp4
| ( ndr1_0
& c3_1(a905)
& ~ c0_1(a905)
& ~ c2_1(a905) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a906)
& c2_1(a906)
& ~ c3_1(a906) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a907)
& c1_1(a907)
& ~ c2_1(a907) ) )
& ( ~ hskp7
| ( ndr1_0
& c1_1(a908)
& ~ c2_1(a908)
& ~ c3_1(a908) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a909)
& ~ c0_1(a909)
& ~ c3_1(a909) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a910)
& ~ c1_1(a910)
& ~ c3_1(a910) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a912)
& c2_1(a912)
& ~ c0_1(a912) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a914)
& c3_1(a914)
& ~ c2_1(a914) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a917)
& c3_1(a917)
& ~ c2_1(a917) ) )
& ( ~ hskp13
| ( ndr1_0
& c2_1(a921)
& ~ c0_1(a921)
& ~ c3_1(a921) ) )
& ( ~ hskp14
| ( ndr1_0
& c3_1(a923)
& ~ c0_1(a923)
& ~ c1_1(a923) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a924)
& ~ c0_1(a924)
& ~ c1_1(a924) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a926)
& c2_1(a926)
& ~ c3_1(a926) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ c1_1(a936)
& ~ c2_1(a936)
& ~ c3_1(a936) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a937)
& ~ c0_1(a937)
& ~ c2_1(a937) ) )
& ( ~ hskp19
| ( ndr1_0
& c2_1(a938)
& c3_1(a938)
& ~ c0_1(a938) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a939)
& ~ c1_1(a939)
& ~ c3_1(a939) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ c0_1(a946)
& ~ c2_1(a946)
& ~ c3_1(a946) ) )
& ( ~ hskp22
| ( ndr1_0
& c2_1(a949)
& c3_1(a949)
& ~ c1_1(a949) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a954)
& c3_1(a954)
& ~ c0_1(a954) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ c0_1(a959)
& ~ c1_1(a959)
& ~ c2_1(a959) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a960)
& c3_1(a960)
& ~ c1_1(a960) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a979)
& c1_1(a979)
& ~ c3_1(a979) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a900)
& c2_1(a900)
& c3_1(a900) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a916)
& c1_1(a916)
& c3_1(a916) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a933)
& c2_1(a933)
& c3_1(a933) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a942)
& c1_1(a942)
& c2_1(a942) ) )
& ( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 )
| ! [X1] :
( c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 )
| ! [X2] :
( ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0 ) )
& ( ! [X3] :
( c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ ndr1_0 )
| ! [X4] :
( c0_1(X4)
| c3_1(X4)
| ~ c2_1(X4)
| ~ ndr1_0 )
| ! [X5] :
( c1_1(X5)
| c3_1(X5)
| ~ c0_1(X5)
| ~ ndr1_0 ) )
& ( ! [X6] :
( c0_1(X6)
| c1_1(X6)
| c2_1(X6)
| ~ ndr1_0 )
| ! [X7] :
( c0_1(X7)
| ~ c1_1(X7)
| ~ c3_1(X7)
| ~ ndr1_0 )
| hskp27 )
& ( ! [X8] :
( c0_1(X8)
| c1_1(X8)
| c2_1(X8)
| ~ ndr1_0 )
| ! [X9] :
( c2_1(X9)
| ~ c0_1(X9)
| ~ c3_1(X9)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X10] :
( c0_1(X10)
| c1_1(X10)
| c2_1(X10)
| ~ ndr1_0 )
| ! [X11] :
( c3_1(X11)
| ~ c0_1(X11)
| ~ c2_1(X11)
| ~ ndr1_0 )
| ! [X12] :
( c3_1(X12)
| ~ c1_1(X12)
| ~ c2_1(X12)
| ~ ndr1_0 ) )
& ( ! [X13] :
( c0_1(X13)
| c1_1(X13)
| c2_1(X13)
| ~ ndr1_0 )
| hskp1
| hskp2 )
& ( ! [X14] :
( c0_1(X14)
| c1_1(X14)
| c3_1(X14)
| ~ ndr1_0 )
| ! [X15] :
( c0_1(X15)
| c2_1(X15)
| c3_1(X15)
| ~ ndr1_0 )
| ! [X16] :
( c2_1(X16)
| c3_1(X16)
| ~ c0_1(X16)
| ~ ndr1_0 ) )
& ( ! [X17] :
( c0_1(X17)
| c1_1(X17)
| c3_1(X17)
| ~ ndr1_0 )
| ! [X18] :
( c0_1(X18)
| ~ c1_1(X18)
| ~ c2_1(X18)
| ~ ndr1_0 )
| ! [X19] :
( c2_1(X19)
| c3_1(X19)
| ~ c0_1(X19)
| ~ ndr1_0 ) )
& ( ! [X20] :
( c0_1(X20)
| c1_1(X20)
| ~ c2_1(X20)
| ~ ndr1_0 )
| hskp3
| hskp4 )
& ( ! [X21] :
( c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( ~ c1_1(X22)
| ~ c2_1(X22)
| ~ c3_1(X22)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X23] :
( c0_1(X23)
| c1_1(X23)
| ~ c3_1(X23)
| ~ ndr1_0 )
| hskp6
| hskp7 )
& ( ! [X24] :
( c0_1(X24)
| c2_1(X24)
| c3_1(X24)
| ~ ndr1_0 )
| ! [X25] :
( c0_1(X25)
| ~ c1_1(X25)
| ~ c3_1(X25)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X26] :
( c0_1(X26)
| c2_1(X26)
| c3_1(X26)
| ~ ndr1_0 )
| ! [X27] :
( c1_1(X27)
| c2_1(X27)
| ~ c0_1(X27)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X28] :
( c0_1(X28)
| c2_1(X28)
| c3_1(X28)
| ~ ndr1_0 )
| hskp27
| hskp10 )
& ( ! [X29] :
( c0_1(X29)
| c3_1(X29)
| ~ c1_1(X29)
| ~ ndr1_0 )
| hskp6
| hskp11 )
& ( ! [X30] :
( c0_1(X30)
| c3_1(X30)
| ~ c2_1(X30)
| ~ ndr1_0 )
| ! [X31] :
( c0_1(X31)
| ~ c2_1(X31)
| ~ c3_1(X31)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X32] :
( c0_1(X32)
| c3_1(X32)
| ~ c2_1(X32)
| ~ ndr1_0 )
| hskp28
| hskp12 )
& ( ! [X33] :
( c0_1(X33)
| c3_1(X33)
| ~ c2_1(X33)
| ~ ndr1_0 )
| hskp2
| hskp0 )
& ( ! [X34] :
( c0_1(X34)
| ~ c1_1(X34)
| ~ c2_1(X34)
| ~ ndr1_0 )
| ! [X35] :
( c1_1(X35)
| c3_1(X35)
| ~ c2_1(X35)
| ~ ndr1_0 )
| ! [X36] :
( c2_1(X36)
| ~ c1_1(X36)
| ~ c3_1(X36)
| ~ ndr1_0 ) )
& ( ! [X37] :
( c0_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37)
| ~ ndr1_0 )
| hskp3
| hskp13 )
& ( ! [X38] :
( c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38)
| ~ ndr1_0 )
| hskp7
| hskp14 )
& ( ! [X39] :
( c0_1(X39)
| ~ c2_1(X39)
| ~ c3_1(X39)
| ~ ndr1_0 )
| ! [X40] :
( ~ c1_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40)
| ~ ndr1_0 )
| hskp15 )
& ( ! [X41] :
( c0_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X41)
| ~ ndr1_0 )
| hskp28
| hskp16 )
& ( ! [X42] :
( c0_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42)
| ~ ndr1_0 )
| hskp7
| hskp13 )
& ( ! [X43] :
( c1_1(X43)
| c2_1(X43)
| c3_1(X43)
| ~ ndr1_0 )
| hskp11
| hskp27 )
& ( ! [X44] :
( c1_1(X44)
| c2_1(X44)
| c3_1(X44)
| ~ ndr1_0 )
| hskp27
| hskp9 )
& ( ! [X45] :
( c1_1(X45)
| c2_1(X45)
| ~ c0_1(X45)
| ~ ndr1_0 )
| ! [X46] :
( c1_1(X46)
| ~ c0_1(X46)
| ~ c3_1(X46)
| ~ ndr1_0 )
| hskp29 )
& ( ! [X47] :
( c1_1(X47)
| c2_1(X47)
| ~ c0_1(X47)
| ~ ndr1_0 )
| ! [X48] :
( ~ c0_1(X48)
| ~ c1_1(X48)
| ~ c3_1(X48)
| ~ ndr1_0 )
| hskp15 )
& ( ! [X49] :
( c1_1(X49)
| c2_1(X49)
| ~ c0_1(X49)
| ~ ndr1_0 )
| hskp12
| hskp17 )
& ( ! [X50] :
( c1_1(X50)
| c2_1(X50)
| ~ c0_1(X50)
| ~ ndr1_0 )
| hskp18
| hskp19 )
& ( ! [X51] :
( c1_1(X51)
| c2_1(X51)
| ~ c3_1(X51)
| ~ ndr1_0 )
| hskp20
| hskp18 )
& ( ! [X52] :
( c1_1(X52)
| c3_1(X52)
| ~ c0_1(X52)
| ~ ndr1_0 )
| ! [X53] :
( ~ c0_1(X53)
| ~ c2_1(X53)
| ~ c3_1(X53)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X54] :
( c1_1(X54)
| c3_1(X54)
| ~ c0_1(X54)
| ~ ndr1_0 )
| hskp30
| hskp7 )
& ( ! [X55] :
( c1_1(X55)
| ~ c0_1(X55)
| ~ c2_1(X55)
| ~ ndr1_0 )
| ! [X56] :
( c2_1(X56)
| c3_1(X56)
| ~ c1_1(X56)
| ~ ndr1_0 )
| hskp27 )
& ( ! [X57] :
( c1_1(X57)
| ~ c0_1(X57)
| ~ c2_1(X57)
| ~ ndr1_0 )
| ! [X58] :
( c2_1(X58)
| ~ c0_1(X58)
| ~ c1_1(X58)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X59] :
( c1_1(X59)
| ~ c0_1(X59)
| ~ c3_1(X59)
| ~ ndr1_0 )
| ! [X60] :
( c2_1(X60)
| c3_1(X60)
| ~ c1_1(X60)
| ~ ndr1_0 )
| hskp21 )
& ( ! [X61] :
( c1_1(X61)
| ~ c0_1(X61)
| ~ c3_1(X61)
| ~ ndr1_0 )
| ! [X62] :
( ~ c0_1(X62)
| ~ c1_1(X62)
| ~ c3_1(X62)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X63] :
( c1_1(X63)
| ~ c0_1(X63)
| ~ c3_1(X63)
| ~ ndr1_0 )
| hskp28 )
& ( ! [X64] :
( c2_1(X64)
| c3_1(X64)
| ~ c0_1(X64)
| ~ ndr1_0 )
| ! [X65] :
( c2_1(X65)
| ~ c1_1(X65)
| ~ c3_1(X65)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X66] :
( c2_1(X66)
| c3_1(X66)
| ~ c0_1(X66)
| ~ ndr1_0 )
| ! [X67] :
( c3_1(X67)
| ~ c0_1(X67)
| ~ c1_1(X67)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X68] :
( c2_1(X68)
| c3_1(X68)
| ~ c0_1(X68)
| ~ ndr1_0 )
| hskp6
| hskp14 )
& ( ! [X69] :
( c2_1(X69)
| c3_1(X69)
| ~ c0_1(X69)
| ~ ndr1_0 )
| hskp1
| hskp23 )
& ( ! [X70] :
( c2_1(X70)
| c3_1(X70)
| ~ c1_1(X70)
| ~ ndr1_0 )
| ! [X71] :
( c2_1(X71)
| ~ c1_1(X71)
| ~ c3_1(X71)
| ~ ndr1_0 ) )
& ( ! [X72] :
( c2_1(X72)
| c3_1(X72)
| ~ c1_1(X72)
| ~ ndr1_0 )
| ! [X73] :
( c3_1(X73)
| ~ c0_1(X73)
| ~ c2_1(X73)
| ~ ndr1_0 )
| ! [X74] :
( ~ c0_1(X74)
| ~ c1_1(X74)
| ~ c3_1(X74)
| ~ ndr1_0 ) )
& ( ! [X75] :
( c2_1(X75)
| c3_1(X75)
| ~ c1_1(X75)
| ~ ndr1_0 )
| ! [X76] :
( ~ c1_1(X76)
| ~ c2_1(X76)
| ~ c3_1(X76)
| ~ ndr1_0 )
| hskp16 )
& ( ! [X77] :
( c2_1(X77)
| c3_1(X77)
| ~ c1_1(X77)
| ~ ndr1_0 )
| hskp30
| hskp9 )
& ( ! [X78] :
( c2_1(X78)
| ~ c0_1(X78)
| ~ c1_1(X78)
| ~ ndr1_0 )
| hskp30
| hskp24 )
& ( ! [X79] :
( c2_1(X79)
| ~ c0_1(X79)
| ~ c3_1(X79)
| ~ ndr1_0 )
| ! [X80] :
( c3_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80)
| ~ ndr1_0 )
| hskp25 )
& ( ! [X81] :
( c2_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81)
| ~ ndr1_0 )
| hskp1
| hskp10 )
& ( ! [X82] :
( c2_1(X82)
| ~ c0_1(X82)
| ~ c3_1(X82)
| ~ ndr1_0 )
| hskp5
| hskp7 )
& ( ! [X83] :
( c2_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83)
| ~ ndr1_0 )
| hskp25
| hskp21 )
& ( ! [X84] :
( c2_1(X84)
| ~ c1_1(X84)
| ~ c3_1(X84)
| ~ ndr1_0 )
| hskp10
| hskp21 )
& ( ! [X85] :
( c3_1(X85)
| ~ c0_1(X85)
| ~ c1_1(X85)
| ~ ndr1_0 )
| hskp27
| hskp13 )
& ( ! [X86] :
( c3_1(X86)
| ~ c0_1(X86)
| ~ c2_1(X86)
| ~ ndr1_0 )
| hskp30
| hskp17 )
& ( ! [X87] :
( c3_1(X87)
| ~ c1_1(X87)
| ~ c2_1(X87)
| ~ ndr1_0 )
| hskp20
| hskp8 )
& ( ! [X88] :
( ~ c0_1(X88)
| ~ c2_1(X88)
| ~ c3_1(X88)
| ~ ndr1_0 )
| hskp23
| hskp15 )
& ( ! [X89] :
( ~ c1_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89)
| ~ ndr1_0 )
| hskp11
| hskp12 )
& ( hskp26
| hskp5
| hskp21 )
& ( hskp20
| hskp14
| hskp4 )
& ( hskp12
| hskp13
| hskp21 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
( ( ~ hskp0
| ( ndr1_0
& ~ c0_1(a901)
& ~ c1_1(a901)
& ~ c3_1(a901) ) )
& ( ~ hskp1
| ( ndr1_0
& c0_1(a902)
& c2_1(a902)
& ~ c1_1(a902) ) )
& ( ~ hskp2
| ( ndr1_0
& c0_1(a903)
& ~ c2_1(a903)
& ~ c3_1(a903) ) )
& ( ~ hskp3
| ( ndr1_0
& c0_1(a904)
& ~ c1_1(a904)
& ~ c2_1(a904) ) )
& ( ~ hskp4
| ( ndr1_0
& c3_1(a905)
& ~ c0_1(a905)
& ~ c2_1(a905) ) )
& ( ~ hskp5
| ( ndr1_0
& c0_1(a906)
& c2_1(a906)
& ~ c3_1(a906) ) )
& ( ~ hskp6
| ( ndr1_0
& c0_1(a907)
& c1_1(a907)
& ~ c2_1(a907) ) )
& ( ~ hskp7
| ( ndr1_0
& c1_1(a908)
& ~ c2_1(a908)
& ~ c3_1(a908) ) )
& ( ~ hskp8
| ( ndr1_0
& c1_1(a909)
& ~ c0_1(a909)
& ~ c3_1(a909) ) )
& ( ~ hskp9
| ( ndr1_0
& c2_1(a910)
& ~ c1_1(a910)
& ~ c3_1(a910) ) )
& ( ~ hskp10
| ( ndr1_0
& c1_1(a912)
& c2_1(a912)
& ~ c0_1(a912) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a914)
& c3_1(a914)
& ~ c2_1(a914) ) )
& ( ~ hskp12
| ( ndr1_0
& c1_1(a917)
& c3_1(a917)
& ~ c2_1(a917) ) )
& ( ~ hskp13
| ( ndr1_0
& c2_1(a921)
& ~ c0_1(a921)
& ~ c3_1(a921) ) )
& ( ~ hskp14
| ( ndr1_0
& c3_1(a923)
& ~ c0_1(a923)
& ~ c1_1(a923) ) )
& ( ~ hskp15
| ( ndr1_0
& c2_1(a924)
& ~ c0_1(a924)
& ~ c1_1(a924) ) )
& ( ~ hskp16
| ( ndr1_0
& c1_1(a926)
& c2_1(a926)
& ~ c3_1(a926) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ c1_1(a936)
& ~ c2_1(a936)
& ~ c3_1(a936) ) )
& ( ~ hskp18
| ( ndr1_0
& c1_1(a937)
& ~ c0_1(a937)
& ~ c2_1(a937) ) )
& ( ~ hskp19
| ( ndr1_0
& c2_1(a938)
& c3_1(a938)
& ~ c0_1(a938) ) )
& ( ~ hskp20
| ( ndr1_0
& c0_1(a939)
& ~ c1_1(a939)
& ~ c3_1(a939) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ c0_1(a946)
& ~ c2_1(a946)
& ~ c3_1(a946) ) )
& ( ~ hskp22
| ( ndr1_0
& c2_1(a949)
& c3_1(a949)
& ~ c1_1(a949) ) )
& ( ~ hskp23
| ( ndr1_0
& c1_1(a954)
& c3_1(a954)
& ~ c0_1(a954) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ c0_1(a959)
& ~ c1_1(a959)
& ~ c2_1(a959) ) )
& ( ~ hskp25
| ( ndr1_0
& c0_1(a960)
& c3_1(a960)
& ~ c1_1(a960) ) )
& ( ~ hskp26
| ( ndr1_0
& c0_1(a979)
& c1_1(a979)
& ~ c3_1(a979) ) )
& ( ~ hskp27
| ( ndr1_0
& c1_1(a900)
& c2_1(a900)
& c3_1(a900) ) )
& ( ~ hskp28
| ( ndr1_0
& c0_1(a916)
& c1_1(a916)
& c3_1(a916) ) )
& ( ~ hskp29
| ( ndr1_0
& c0_1(a933)
& c2_1(a933)
& c3_1(a933) ) )
& ( ~ hskp30
| ( ndr1_0
& c0_1(a942)
& c1_1(a942)
& c2_1(a942) ) )
& ( ! [X0] :
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0 )
| ! [X1] :
( c0_1(X1)
| c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 )
| ! [X2] :
( ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0 ) )
& ( ! [X3] :
( c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ ndr1_0 )
| ! [X4] :
( c0_1(X4)
| c3_1(X4)
| ~ c2_1(X4)
| ~ ndr1_0 )
| ! [X5] :
( c1_1(X5)
| c3_1(X5)
| ~ c0_1(X5)
| ~ ndr1_0 ) )
& ( ! [X6] :
( c0_1(X6)
| c1_1(X6)
| c2_1(X6)
| ~ ndr1_0 )
| ! [X7] :
( c0_1(X7)
| ~ c1_1(X7)
| ~ c3_1(X7)
| ~ ndr1_0 )
| hskp27 )
& ( ! [X8] :
( c0_1(X8)
| c1_1(X8)
| c2_1(X8)
| ~ ndr1_0 )
| ! [X9] :
( c2_1(X9)
| ~ c0_1(X9)
| ~ c3_1(X9)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X10] :
( c0_1(X10)
| c1_1(X10)
| c2_1(X10)
| ~ ndr1_0 )
| ! [X11] :
( c3_1(X11)
| ~ c0_1(X11)
| ~ c2_1(X11)
| ~ ndr1_0 )
| ! [X12] :
( c3_1(X12)
| ~ c1_1(X12)
| ~ c2_1(X12)
| ~ ndr1_0 ) )
& ( ! [X13] :
( c0_1(X13)
| c1_1(X13)
| c2_1(X13)
| ~ ndr1_0 )
| hskp1
| hskp2 )
& ( ! [X14] :
( c0_1(X14)
| c1_1(X14)
| c3_1(X14)
| ~ ndr1_0 )
| ! [X15] :
( c0_1(X15)
| c2_1(X15)
| c3_1(X15)
| ~ ndr1_0 )
| ! [X16] :
( c2_1(X16)
| c3_1(X16)
| ~ c0_1(X16)
| ~ ndr1_0 ) )
& ( ! [X17] :
( c0_1(X17)
| c1_1(X17)
| c3_1(X17)
| ~ ndr1_0 )
| ! [X18] :
( c0_1(X18)
| ~ c1_1(X18)
| ~ c2_1(X18)
| ~ ndr1_0 )
| ! [X19] :
( c2_1(X19)
| c3_1(X19)
| ~ c0_1(X19)
| ~ ndr1_0 ) )
& ( ! [X20] :
( c0_1(X20)
| c1_1(X20)
| ~ c2_1(X20)
| ~ ndr1_0 )
| hskp3
| hskp4 )
& ( ! [X21] :
( c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21)
| ~ ndr1_0 )
| ! [X22] :
( ~ c1_1(X22)
| ~ c2_1(X22)
| ~ c3_1(X22)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X23] :
( c0_1(X23)
| c1_1(X23)
| ~ c3_1(X23)
| ~ ndr1_0 )
| hskp6
| hskp7 )
& ( ! [X24] :
( c0_1(X24)
| c2_1(X24)
| c3_1(X24)
| ~ ndr1_0 )
| ! [X25] :
( c0_1(X25)
| ~ c1_1(X25)
| ~ c3_1(X25)
| ~ ndr1_0 )
| hskp8 )
& ( ! [X26] :
( c0_1(X26)
| c2_1(X26)
| c3_1(X26)
| ~ ndr1_0 )
| ! [X27] :
( c1_1(X27)
| c2_1(X27)
| ~ c0_1(X27)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X28] :
( c0_1(X28)
| c2_1(X28)
| c3_1(X28)
| ~ ndr1_0 )
| hskp27
| hskp10 )
& ( ! [X29] :
( c0_1(X29)
| c3_1(X29)
| ~ c1_1(X29)
| ~ ndr1_0 )
| hskp6
| hskp11 )
& ( ! [X30] :
( c0_1(X30)
| c3_1(X30)
| ~ c2_1(X30)
| ~ ndr1_0 )
| ! [X31] :
( c0_1(X31)
| ~ c2_1(X31)
| ~ c3_1(X31)
| ~ ndr1_0 )
| hskp5 )
& ( ! [X32] :
( c0_1(X32)
| c3_1(X32)
| ~ c2_1(X32)
| ~ ndr1_0 )
| hskp28
| hskp12 )
& ( ! [X33] :
( c0_1(X33)
| c3_1(X33)
| ~ c2_1(X33)
| ~ ndr1_0 )
| hskp2
| hskp0 )
& ( ! [X34] :
( c0_1(X34)
| ~ c1_1(X34)
| ~ c2_1(X34)
| ~ ndr1_0 )
| ! [X35] :
( c1_1(X35)
| c3_1(X35)
| ~ c2_1(X35)
| ~ ndr1_0 )
| ! [X36] :
( c2_1(X36)
| ~ c1_1(X36)
| ~ c3_1(X36)
| ~ ndr1_0 ) )
& ( ! [X37] :
( c0_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37)
| ~ ndr1_0 )
| hskp3
| hskp13 )
& ( ! [X38] :
( c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38)
| ~ ndr1_0 )
| hskp7
| hskp14 )
& ( ! [X39] :
( c0_1(X39)
| ~ c2_1(X39)
| ~ c3_1(X39)
| ~ ndr1_0 )
| ! [X40] :
( ~ c1_1(X40)
| ~ c2_1(X40)
| ~ c3_1(X40)
| ~ ndr1_0 )
| hskp15 )
& ( ! [X41] :
( c0_1(X41)
| ~ c2_1(X41)
| ~ c3_1(X41)
| ~ ndr1_0 )
| hskp28
| hskp16 )
& ( ! [X42] :
( c0_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42)
| ~ ndr1_0 )
| hskp7
| hskp13 )
& ( ! [X43] :
( c1_1(X43)
| c2_1(X43)
| c3_1(X43)
| ~ ndr1_0 )
| hskp11
| hskp27 )
& ( ! [X44] :
( c1_1(X44)
| c2_1(X44)
| c3_1(X44)
| ~ ndr1_0 )
| hskp27
| hskp9 )
& ( ! [X45] :
( c1_1(X45)
| c2_1(X45)
| ~ c0_1(X45)
| ~ ndr1_0 )
| ! [X46] :
( c1_1(X46)
| ~ c0_1(X46)
| ~ c3_1(X46)
| ~ ndr1_0 )
| hskp29 )
& ( ! [X47] :
( c1_1(X47)
| c2_1(X47)
| ~ c0_1(X47)
| ~ ndr1_0 )
| ! [X48] :
( ~ c0_1(X48)
| ~ c1_1(X48)
| ~ c3_1(X48)
| ~ ndr1_0 )
| hskp15 )
& ( ! [X49] :
( c1_1(X49)
| c2_1(X49)
| ~ c0_1(X49)
| ~ ndr1_0 )
| hskp12
| hskp17 )
& ( ! [X50] :
( c1_1(X50)
| c2_1(X50)
| ~ c0_1(X50)
| ~ ndr1_0 )
| hskp18
| hskp19 )
& ( ! [X51] :
( c1_1(X51)
| c2_1(X51)
| ~ c3_1(X51)
| ~ ndr1_0 )
| hskp20
| hskp18 )
& ( ! [X52] :
( c1_1(X52)
| c3_1(X52)
| ~ c0_1(X52)
| ~ ndr1_0 )
| ! [X53] :
( ~ c0_1(X53)
| ~ c2_1(X53)
| ~ c3_1(X53)
| ~ ndr1_0 )
| hskp9 )
& ( ! [X54] :
( c1_1(X54)
| c3_1(X54)
| ~ c0_1(X54)
| ~ ndr1_0 )
| hskp30
| hskp7 )
& ( ! [X55] :
( c1_1(X55)
| ~ c0_1(X55)
| ~ c2_1(X55)
| ~ ndr1_0 )
| ! [X56] :
( c2_1(X56)
| c3_1(X56)
| ~ c1_1(X56)
| ~ ndr1_0 )
| hskp27 )
& ( ! [X57] :
( c1_1(X57)
| ~ c0_1(X57)
| ~ c2_1(X57)
| ~ ndr1_0 )
| ! [X58] :
( c2_1(X58)
| ~ c0_1(X58)
| ~ c1_1(X58)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X59] :
( c1_1(X59)
| ~ c0_1(X59)
| ~ c3_1(X59)
| ~ ndr1_0 )
| ! [X60] :
( c2_1(X60)
| c3_1(X60)
| ~ c1_1(X60)
| ~ ndr1_0 )
| hskp21 )
& ( ! [X61] :
( c1_1(X61)
| ~ c0_1(X61)
| ~ c3_1(X61)
| ~ ndr1_0 )
| ! [X62] :
( ~ c0_1(X62)
| ~ c1_1(X62)
| ~ c3_1(X62)
| ~ ndr1_0 )
| hskp1 )
& ( ! [X63] :
( c1_1(X63)
| ~ c0_1(X63)
| ~ c3_1(X63)
| ~ ndr1_0 )
| hskp28 )
& ( ! [X64] :
( c2_1(X64)
| c3_1(X64)
| ~ c0_1(X64)
| ~ ndr1_0 )
| ! [X65] :
( c2_1(X65)
| ~ c1_1(X65)
| ~ c3_1(X65)
| ~ ndr1_0 )
| hskp22 )
& ( ! [X66] :
( c2_1(X66)
| c3_1(X66)
| ~ c0_1(X66)
| ~ ndr1_0 )
| ! [X67] :
( c3_1(X67)
| ~ c0_1(X67)
| ~ c1_1(X67)
| ~ ndr1_0 )
| hskp0 )
& ( ! [X68] :
( c2_1(X68)
| c3_1(X68)
| ~ c0_1(X68)
| ~ ndr1_0 )
| hskp6
| hskp14 )
& ( ! [X69] :
( c2_1(X69)
| c3_1(X69)
| ~ c0_1(X69)
| ~ ndr1_0 )
| hskp1
| hskp23 )
& ( ! [X70] :
( c2_1(X70)
| c3_1(X70)
| ~ c1_1(X70)
| ~ ndr1_0 )
| ! [X71] :
( c2_1(X71)
| ~ c1_1(X71)
| ~ c3_1(X71)
| ~ ndr1_0 ) )
& ( ! [X72] :
( c2_1(X72)
| c3_1(X72)
| ~ c1_1(X72)
| ~ ndr1_0 )
| ! [X73] :
( c3_1(X73)
| ~ c0_1(X73)
| ~ c2_1(X73)
| ~ ndr1_0 )
| ! [X74] :
( ~ c0_1(X74)
| ~ c1_1(X74)
| ~ c3_1(X74)
| ~ ndr1_0 ) )
& ( ! [X75] :
( c2_1(X75)
| c3_1(X75)
| ~ c1_1(X75)
| ~ ndr1_0 )
| ! [X76] :
( ~ c1_1(X76)
| ~ c2_1(X76)
| ~ c3_1(X76)
| ~ ndr1_0 )
| hskp16 )
& ( ! [X77] :
( c2_1(X77)
| c3_1(X77)
| ~ c1_1(X77)
| ~ ndr1_0 )
| hskp30
| hskp9 )
& ( ! [X78] :
( c2_1(X78)
| ~ c0_1(X78)
| ~ c1_1(X78)
| ~ ndr1_0 )
| hskp30
| hskp24 )
& ( ! [X79] :
( c2_1(X79)
| ~ c0_1(X79)
| ~ c3_1(X79)
| ~ ndr1_0 )
| ! [X80] :
( c3_1(X80)
| ~ c0_1(X80)
| ~ c1_1(X80)
| ~ ndr1_0 )
| hskp25 )
& ( ! [X81] :
( c2_1(X81)
| ~ c0_1(X81)
| ~ c3_1(X81)
| ~ ndr1_0 )
| hskp1
| hskp10 )
& ( ! [X82] :
( c2_1(X82)
| ~ c0_1(X82)
| ~ c3_1(X82)
| ~ ndr1_0 )
| hskp5
| hskp7 )
& ( ! [X83] :
( c2_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83)
| ~ ndr1_0 )
| hskp25
| hskp21 )
& ( ! [X84] :
( c2_1(X84)
| ~ c1_1(X84)
| ~ c3_1(X84)
| ~ ndr1_0 )
| hskp10
| hskp21 )
& ( ! [X85] :
( c3_1(X85)
| ~ c0_1(X85)
| ~ c1_1(X85)
| ~ ndr1_0 )
| hskp27
| hskp13 )
& ( ! [X86] :
( c3_1(X86)
| ~ c0_1(X86)
| ~ c2_1(X86)
| ~ ndr1_0 )
| hskp30
| hskp17 )
& ( ! [X87] :
( c3_1(X87)
| ~ c1_1(X87)
| ~ c2_1(X87)
| ~ ndr1_0 )
| hskp20
| hskp8 )
& ( ! [X88] :
( ~ c0_1(X88)
| ~ c2_1(X88)
| ~ c3_1(X88)
| ~ ndr1_0 )
| hskp23
| hskp15 )
& ( ! [X89] :
( ~ c1_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89)
| ~ ndr1_0 )
| hskp11
| hskp12 )
& ( hskp26
| hskp5
| hskp21 )
& ( hskp20
| hskp14
| hskp4 )
& ( hskp12
| hskp13
| hskp21 ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( hskp12
| hskp13
| hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
( hskp20
| hskp14
| hskp4 ),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X89] :
( ~ c1_1(X89)
| ~ c2_1(X89)
| ~ c3_1(X89)
| ~ ndr1_0
| hskp11
| hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
! [X88] :
( ~ c0_1(X88)
| ~ c2_1(X88)
| ~ c3_1(X88)
| ~ ndr1_0
| hskp23
| hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f14,plain,
! [X84] :
( c2_1(X84)
| ~ c1_1(X84)
| ~ c3_1(X84)
| ~ ndr1_0
| hskp10
| hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
! [X83] :
( c2_1(X83)
| ~ c1_1(X83)
| ~ c3_1(X83)
| ~ ndr1_0
| hskp25
| hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f16,plain,
! [X82] :
( c2_1(X82)
| ~ c0_1(X82)
| ~ c3_1(X82)
| ~ ndr1_0
| hskp5
| hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f22,plain,
! [X72,X73,X74] :
( c2_1(X72)
| c3_1(X72)
| ~ c1_1(X72)
| ~ ndr1_0
| c3_1(X73)
| ~ c0_1(X73)
| ~ c2_1(X73)
| ~ ndr1_0
| ~ c0_1(X74)
| ~ c1_1(X74)
| ~ c3_1(X74)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f23,plain,
! [X70,X71] :
( c2_1(X70)
| c3_1(X70)
| ~ c1_1(X70)
| ~ ndr1_0
| c2_1(X71)
| ~ c1_1(X71)
| ~ c3_1(X71)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f28,plain,
! [X63] :
( c1_1(X63)
| ~ c0_1(X63)
| ~ c3_1(X63)
| ~ ndr1_0
| hskp28 ),
inference(cnf_transformation,[],[f5]) ).
fof(f29,plain,
! [X62,X61] :
( c1_1(X61)
| ~ c0_1(X61)
| ~ c3_1(X61)
| ~ ndr1_0
| ~ c0_1(X62)
| ~ c1_1(X62)
| ~ c3_1(X62)
| ~ ndr1_0
| hskp1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f30,plain,
! [X59,X60] :
( c1_1(X59)
| ~ c0_1(X59)
| ~ c3_1(X59)
| ~ ndr1_0
| c2_1(X60)
| c3_1(X60)
| ~ c1_1(X60)
| ~ ndr1_0
| hskp21 ),
inference(cnf_transformation,[],[f5]) ).
fof(f31,plain,
! [X58,X57] :
( c1_1(X57)
| ~ c0_1(X57)
| ~ c2_1(X57)
| ~ ndr1_0
| c2_1(X58)
| ~ c0_1(X58)
| ~ c1_1(X58)
| ~ ndr1_0
| hskp0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f36,plain,
! [X50] :
( c1_1(X50)
| c2_1(X50)
| ~ c0_1(X50)
| ~ ndr1_0
| hskp18
| hskp19 ),
inference(cnf_transformation,[],[f5]) ).
fof(f37,plain,
! [X49] :
( c1_1(X49)
| c2_1(X49)
| ~ c0_1(X49)
| ~ ndr1_0
| hskp12
| hskp17 ),
inference(cnf_transformation,[],[f5]) ).
fof(f38,plain,
! [X48,X47] :
( c1_1(X47)
| c2_1(X47)
| ~ c0_1(X47)
| ~ ndr1_0
| ~ c0_1(X48)
| ~ c1_1(X48)
| ~ c3_1(X48)
| ~ ndr1_0
| hskp15 ),
inference(cnf_transformation,[],[f5]) ).
fof(f41,plain,
! [X43] :
( c1_1(X43)
| c2_1(X43)
| c3_1(X43)
| ~ ndr1_0
| hskp11
| hskp27 ),
inference(cnf_transformation,[],[f5]) ).
fof(f42,plain,
! [X42] :
( c0_1(X42)
| ~ c2_1(X42)
| ~ c3_1(X42)
| ~ ndr1_0
| hskp7
| hskp13 ),
inference(cnf_transformation,[],[f5]) ).
fof(f45,plain,
! [X38] :
( c0_1(X38)
| ~ c1_1(X38)
| ~ c2_1(X38)
| ~ ndr1_0
| hskp7
| hskp14 ),
inference(cnf_transformation,[],[f5]) ).
fof(f46,plain,
! [X37] :
( c0_1(X37)
| ~ c1_1(X37)
| ~ c2_1(X37)
| ~ ndr1_0
| hskp3
| hskp13 ),
inference(cnf_transformation,[],[f5]) ).
fof(f47,plain,
! [X36,X34,X35] :
( c0_1(X34)
| ~ c1_1(X34)
| ~ c2_1(X34)
| ~ ndr1_0
| c1_1(X35)
| c3_1(X35)
| ~ c2_1(X35)
| ~ ndr1_0
| c2_1(X36)
| ~ c1_1(X36)
| ~ c3_1(X36)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f49,plain,
! [X32] :
( c0_1(X32)
| c3_1(X32)
| ~ c2_1(X32)
| ~ ndr1_0
| hskp28
| hskp12 ),
inference(cnf_transformation,[],[f5]) ).
fof(f50,plain,
! [X31,X30] :
( c0_1(X30)
| c3_1(X30)
| ~ c2_1(X30)
| ~ ndr1_0
| c0_1(X31)
| ~ c2_1(X31)
| ~ c3_1(X31)
| ~ ndr1_0
| hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f52,plain,
! [X28] :
( c0_1(X28)
| c2_1(X28)
| c3_1(X28)
| ~ ndr1_0
| hskp27
| hskp10 ),
inference(cnf_transformation,[],[f5]) ).
fof(f53,plain,
! [X26,X27] :
( c0_1(X26)
| c2_1(X26)
| c3_1(X26)
| ~ ndr1_0
| c1_1(X27)
| c2_1(X27)
| ~ c0_1(X27)
| ~ ndr1_0
| hskp9 ),
inference(cnf_transformation,[],[f5]) ).
fof(f54,plain,
! [X24,X25] :
( c0_1(X24)
| c2_1(X24)
| c3_1(X24)
| ~ ndr1_0
| c0_1(X25)
| ~ c1_1(X25)
| ~ c3_1(X25)
| ~ ndr1_0
| hskp8 ),
inference(cnf_transformation,[],[f5]) ).
fof(f55,plain,
! [X23] :
( c0_1(X23)
| c1_1(X23)
| ~ c3_1(X23)
| ~ ndr1_0
| hskp6
| hskp7 ),
inference(cnf_transformation,[],[f5]) ).
fof(f56,plain,
! [X21,X22] :
( c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21)
| ~ ndr1_0
| ~ c1_1(X22)
| ~ c2_1(X22)
| ~ c3_1(X22)
| ~ ndr1_0
| hskp5 ),
inference(cnf_transformation,[],[f5]) ).
fof(f58,plain,
! [X18,X19,X17] :
( c0_1(X17)
| c1_1(X17)
| c3_1(X17)
| ~ ndr1_0
| c0_1(X18)
| ~ c1_1(X18)
| ~ c2_1(X18)
| ~ ndr1_0
| c2_1(X19)
| c3_1(X19)
| ~ c0_1(X19)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f59,plain,
! [X16,X14,X15] :
( c0_1(X14)
| c1_1(X14)
| c3_1(X14)
| ~ ndr1_0
| c0_1(X15)
| c2_1(X15)
| c3_1(X15)
| ~ ndr1_0
| c2_1(X16)
| c3_1(X16)
| ~ c0_1(X16)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f61,plain,
! [X10,X11,X12] :
( c0_1(X10)
| c1_1(X10)
| c2_1(X10)
| ~ ndr1_0
| c3_1(X11)
| ~ c0_1(X11)
| ~ c2_1(X11)
| ~ ndr1_0
| c3_1(X12)
| ~ c1_1(X12)
| ~ c2_1(X12)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f64,plain,
! [X3,X4,X5] :
( c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ ndr1_0
| c0_1(X4)
| c3_1(X4)
| ~ c2_1(X4)
| ~ ndr1_0
| c1_1(X5)
| c3_1(X5)
| ~ c0_1(X5)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f74,plain,
( ~ hskp28
| c3_1(a916) ),
inference(cnf_transformation,[],[f5]) ).
fof(f75,plain,
( ~ hskp28
| c1_1(a916) ),
inference(cnf_transformation,[],[f5]) ).
fof(f76,plain,
( ~ hskp28
| c0_1(a916) ),
inference(cnf_transformation,[],[f5]) ).
fof(f78,plain,
( ~ hskp27
| c3_1(a900) ),
inference(cnf_transformation,[],[f5]) ).
fof(f79,plain,
( ~ hskp27
| c2_1(a900) ),
inference(cnf_transformation,[],[f5]) ).
fof(f80,plain,
( ~ hskp27
| c1_1(a900) ),
inference(cnf_transformation,[],[f5]) ).
fof(f86,plain,
( ~ hskp25
| ~ c1_1(a960) ),
inference(cnf_transformation,[],[f5]) ).
fof(f87,plain,
( ~ hskp25
| c3_1(a960) ),
inference(cnf_transformation,[],[f5]) ).
fof(f88,plain,
( ~ hskp25
| c0_1(a960) ),
inference(cnf_transformation,[],[f5]) ).
fof(f94,plain,
( ~ hskp23
| ~ c0_1(a954) ),
inference(cnf_transformation,[],[f5]) ).
fof(f95,plain,
( ~ hskp23
| c3_1(a954) ),
inference(cnf_transformation,[],[f5]) ).
fof(f96,plain,
( ~ hskp23
| c1_1(a954) ),
inference(cnf_transformation,[],[f5]) ).
fof(f102,plain,
( ~ hskp21
| ~ c3_1(a946) ),
inference(cnf_transformation,[],[f5]) ).
fof(f103,plain,
( ~ hskp21
| ~ c2_1(a946) ),
inference(cnf_transformation,[],[f5]) ).
fof(f104,plain,
( ~ hskp21
| ~ c0_1(a946) ),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
( ~ hskp21
| ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f106,plain,
( ~ hskp20
| ~ c3_1(a939) ),
inference(cnf_transformation,[],[f5]) ).
fof(f108,plain,
( ~ hskp20
| c0_1(a939) ),
inference(cnf_transformation,[],[f5]) ).
fof(f110,plain,
( ~ hskp19
| ~ c0_1(a938) ),
inference(cnf_transformation,[],[f5]) ).
fof(f111,plain,
( ~ hskp19
| c3_1(a938) ),
inference(cnf_transformation,[],[f5]) ).
fof(f112,plain,
( ~ hskp19
| c2_1(a938) ),
inference(cnf_transformation,[],[f5]) ).
fof(f114,plain,
( ~ hskp18
| ~ c2_1(a937) ),
inference(cnf_transformation,[],[f5]) ).
fof(f116,plain,
( ~ hskp18
| c1_1(a937) ),
inference(cnf_transformation,[],[f5]) ).
fof(f118,plain,
( ~ hskp17
| ~ c3_1(a936) ),
inference(cnf_transformation,[],[f5]) ).
fof(f119,plain,
( ~ hskp17
| ~ c2_1(a936) ),
inference(cnf_transformation,[],[f5]) ).
fof(f120,plain,
( ~ hskp17
| ~ c1_1(a936) ),
inference(cnf_transformation,[],[f5]) ).
fof(f126,plain,
( ~ hskp15
| ~ c1_1(a924) ),
inference(cnf_transformation,[],[f5]) ).
fof(f127,plain,
( ~ hskp15
| ~ c0_1(a924) ),
inference(cnf_transformation,[],[f5]) ).
fof(f128,plain,
( ~ hskp15
| c2_1(a924) ),
inference(cnf_transformation,[],[f5]) ).
fof(f130,plain,
( ~ hskp14
| ~ c1_1(a923) ),
inference(cnf_transformation,[],[f5]) ).
fof(f131,plain,
( ~ hskp14
| ~ c0_1(a923) ),
inference(cnf_transformation,[],[f5]) ).
fof(f132,plain,
( ~ hskp14
| c3_1(a923) ),
inference(cnf_transformation,[],[f5]) ).
fof(f134,plain,
( ~ hskp13
| ~ c3_1(a921) ),
inference(cnf_transformation,[],[f5]) ).
fof(f135,plain,
( ~ hskp13
| ~ c0_1(a921) ),
inference(cnf_transformation,[],[f5]) ).
fof(f136,plain,
( ~ hskp13
| c2_1(a921) ),
inference(cnf_transformation,[],[f5]) ).
fof(f137,plain,
( ~ hskp13
| ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f138,plain,
( ~ hskp12
| ~ c2_1(a917) ),
inference(cnf_transformation,[],[f5]) ).
fof(f139,plain,
( ~ hskp12
| c3_1(a917) ),
inference(cnf_transformation,[],[f5]) ).
fof(f140,plain,
( ~ hskp12
| c1_1(a917) ),
inference(cnf_transformation,[],[f5]) ).
fof(f141,plain,
( ~ hskp12
| ndr1_0 ),
inference(cnf_transformation,[],[f5]) ).
fof(f142,plain,
( ~ hskp11
| ~ c2_1(a914) ),
inference(cnf_transformation,[],[f5]) ).
fof(f143,plain,
( ~ hskp11
| c3_1(a914) ),
inference(cnf_transformation,[],[f5]) ).
fof(f144,plain,
( ~ hskp11
| c0_1(a914) ),
inference(cnf_transformation,[],[f5]) ).
fof(f146,plain,
( ~ hskp10
| ~ c0_1(a912) ),
inference(cnf_transformation,[],[f5]) ).
fof(f147,plain,
( ~ hskp10
| c2_1(a912) ),
inference(cnf_transformation,[],[f5]) ).
fof(f148,plain,
( ~ hskp10
| c1_1(a912) ),
inference(cnf_transformation,[],[f5]) ).
fof(f150,plain,
( ~ hskp9
| ~ c3_1(a910) ),
inference(cnf_transformation,[],[f5]) ).
fof(f151,plain,
( ~ hskp9
| ~ c1_1(a910) ),
inference(cnf_transformation,[],[f5]) ).
fof(f152,plain,
( ~ hskp9
| c2_1(a910) ),
inference(cnf_transformation,[],[f5]) ).
fof(f154,plain,
( ~ hskp8
| ~ c3_1(a909) ),
inference(cnf_transformation,[],[f5]) ).
fof(f155,plain,
( ~ hskp8
| ~ c0_1(a909) ),
inference(cnf_transformation,[],[f5]) ).
fof(f156,plain,
( ~ hskp8
| c1_1(a909) ),
inference(cnf_transformation,[],[f5]) ).
fof(f158,plain,
( ~ hskp7
| ~ c3_1(a908) ),
inference(cnf_transformation,[],[f5]) ).
fof(f159,plain,
( ~ hskp7
| ~ c2_1(a908) ),
inference(cnf_transformation,[],[f5]) ).
fof(f160,plain,
( ~ hskp7
| c1_1(a908) ),
inference(cnf_transformation,[],[f5]) ).
fof(f162,plain,
( ~ hskp6
| ~ c2_1(a907) ),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
( ~ hskp6
| c1_1(a907) ),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
( ~ hskp6
| c0_1(a907) ),
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
( ~ hskp5
| ~ c3_1(a906) ),
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
( ~ hskp5
| c2_1(a906) ),
inference(cnf_transformation,[],[f5]) ).
fof(f168,plain,
( ~ hskp5
| c0_1(a906) ),
inference(cnf_transformation,[],[f5]) ).
fof(f171,plain,
( ~ hskp4
| ~ c0_1(a905) ),
inference(cnf_transformation,[],[f5]) ).
fof(f172,plain,
( ~ hskp4
| c3_1(a905) ),
inference(cnf_transformation,[],[f5]) ).
fof(f174,plain,
( ~ hskp3
| ~ c2_1(a904) ),
inference(cnf_transformation,[],[f5]) ).
fof(f175,plain,
( ~ hskp3
| ~ c1_1(a904) ),
inference(cnf_transformation,[],[f5]) ).
fof(f176,plain,
( ~ hskp3
| c0_1(a904) ),
inference(cnf_transformation,[],[f5]) ).
fof(f182,plain,
( ~ hskp1
| ~ c1_1(a902) ),
inference(cnf_transformation,[],[f5]) ).
fof(f183,plain,
( ~ hskp1
| c2_1(a902) ),
inference(cnf_transformation,[],[f5]) ).
fof(f184,plain,
( ~ hskp1
| c0_1(a902) ),
inference(cnf_transformation,[],[f5]) ).
fof(f186,plain,
( ~ hskp0
| ~ c3_1(a901) ),
inference(cnf_transformation,[],[f5]) ).
fof(f187,plain,
( ~ hskp0
| ~ c1_1(a901) ),
inference(cnf_transformation,[],[f5]) ).
fof(f188,plain,
( ~ hskp0
| ~ c0_1(a901) ),
inference(cnf_transformation,[],[f5]) ).
fof(f192,plain,
! [X72,X73,X74] :
( c2_1(X72)
| c3_1(X72)
| ~ c1_1(X72)
| ~ ndr1_0
| c3_1(X73)
| ~ c0_1(X73)
| ~ c2_1(X73)
| ~ c0_1(X74)
| ~ c1_1(X74)
| ~ c3_1(X74) ),
inference(duplicate_literal_removal,[],[f22]) ).
fof(f193,plain,
! [X70,X71] :
( c2_1(X70)
| c3_1(X70)
| ~ c1_1(X70)
| ~ ndr1_0
| c2_1(X71)
| ~ c1_1(X71)
| ~ c3_1(X71) ),
inference(duplicate_literal_removal,[],[f23]) ).
fof(f196,plain,
! [X62,X61] :
( c1_1(X61)
| ~ c0_1(X61)
| ~ c3_1(X61)
| ~ ndr1_0
| ~ c0_1(X62)
| ~ c1_1(X62)
| ~ c3_1(X62)
| hskp1 ),
inference(duplicate_literal_removal,[],[f29]) ).
fof(f197,plain,
! [X59,X60] :
( c1_1(X59)
| ~ c0_1(X59)
| ~ c3_1(X59)
| ~ ndr1_0
| c2_1(X60)
| c3_1(X60)
| ~ c1_1(X60)
| hskp21 ),
inference(duplicate_literal_removal,[],[f30]) ).
fof(f198,plain,
! [X58,X57] :
( c1_1(X57)
| ~ c0_1(X57)
| ~ c2_1(X57)
| ~ ndr1_0
| c2_1(X58)
| ~ c0_1(X58)
| ~ c1_1(X58)
| hskp0 ),
inference(duplicate_literal_removal,[],[f31]) ).
fof(f201,plain,
! [X48,X47] :
( c1_1(X47)
| c2_1(X47)
| ~ c0_1(X47)
| ~ ndr1_0
| ~ c0_1(X48)
| ~ c1_1(X48)
| ~ c3_1(X48)
| hskp15 ),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f204,plain,
! [X36,X34,X35] :
( c0_1(X34)
| ~ c1_1(X34)
| ~ c2_1(X34)
| ~ ndr1_0
| c1_1(X35)
| c3_1(X35)
| ~ c2_1(X35)
| c2_1(X36)
| ~ c1_1(X36)
| ~ c3_1(X36) ),
inference(duplicate_literal_removal,[],[f47]) ).
fof(f205,plain,
! [X31,X30] :
( c0_1(X30)
| c3_1(X30)
| ~ c2_1(X30)
| ~ ndr1_0
| c0_1(X31)
| ~ c2_1(X31)
| ~ c3_1(X31)
| hskp5 ),
inference(duplicate_literal_removal,[],[f50]) ).
fof(f206,plain,
! [X26,X27] :
( c0_1(X26)
| c2_1(X26)
| c3_1(X26)
| ~ ndr1_0
| c1_1(X27)
| c2_1(X27)
| ~ c0_1(X27)
| hskp9 ),
inference(duplicate_literal_removal,[],[f53]) ).
fof(f207,plain,
! [X24,X25] :
( c0_1(X24)
| c2_1(X24)
| c3_1(X24)
| ~ ndr1_0
| c0_1(X25)
| ~ c1_1(X25)
| ~ c3_1(X25)
| hskp8 ),
inference(duplicate_literal_removal,[],[f54]) ).
fof(f208,plain,
! [X21,X22] :
( c0_1(X21)
| c1_1(X21)
| ~ c3_1(X21)
| ~ ndr1_0
| ~ c1_1(X22)
| ~ c2_1(X22)
| ~ c3_1(X22)
| hskp5 ),
inference(duplicate_literal_removal,[],[f56]) ).
fof(f209,plain,
! [X18,X19,X17] :
( c0_1(X17)
| c1_1(X17)
| c3_1(X17)
| ~ ndr1_0
| c0_1(X18)
| ~ c1_1(X18)
| ~ c2_1(X18)
| c2_1(X19)
| c3_1(X19)
| ~ c0_1(X19) ),
inference(duplicate_literal_removal,[],[f58]) ).
fof(f210,plain,
! [X16,X14,X15] :
( c0_1(X14)
| c1_1(X14)
| c3_1(X14)
| ~ ndr1_0
| c0_1(X15)
| c2_1(X15)
| c3_1(X15)
| c2_1(X16)
| c3_1(X16)
| ~ c0_1(X16) ),
inference(duplicate_literal_removal,[],[f59]) ).
fof(f211,plain,
! [X10,X11,X12] :
( c0_1(X10)
| c1_1(X10)
| c2_1(X10)
| ~ ndr1_0
| c3_1(X11)
| ~ c0_1(X11)
| ~ c2_1(X11)
| c3_1(X12)
| ~ c1_1(X12)
| ~ c2_1(X12) ),
inference(duplicate_literal_removal,[],[f61]) ).
fof(f214,plain,
! [X3,X4,X5] :
( c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ ndr1_0
| c0_1(X4)
| c3_1(X4)
| ~ c2_1(X4)
| c1_1(X5)
| c3_1(X5)
| ~ c0_1(X5) ),
inference(duplicate_literal_removal,[],[f64]) ).
fof(f217,definition,
( spl0_1
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f221,definition,
( spl0_2
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f225,definition,
( spl0_3
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f228,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f6,f225,f221,f217]) ).
fof(f230,definition,
( spl0_4
<=> hskp4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f234,definition,
( spl0_5
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f238,definition,
( spl0_6
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f241,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f7,f238,f234,f230]) ).
fof(f243,definition,
( spl0_7
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f252,definition,
( spl0_9
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f256,definition,
( spl0_10
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f260,definition,
( spl0_11
<=> ! [X89] :
( ~ c1_1(X89)
| ~ c3_1(X89)
| ~ c2_1(X89) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f261,plain,
( ! [X89] :
( ~ c3_1(X89)
| ~ c1_1(X89)
| ~ c2_1(X89) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( spl0_3
| spl0_9
| ~ spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f9,f260,f256,f252,f225]) ).
fof(f264,definition,
( spl0_12
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f268,definition,
( spl0_13
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f272,definition,
( spl0_14
<=> ! [X88] :
( ~ c0_1(X88)
| ~ c3_1(X88)
| ~ c2_1(X88) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f273,plain,
( ! [X88] :
( ~ c3_1(X88)
| ~ c0_1(X88)
| ~ c2_1(X88) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f274,plain,
( spl0_12
| spl0_13
| ~ spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f10,f272,f256,f268,f264]) ).
fof(f276,definition,
( spl0_15
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f280,definition,
( spl0_16
<=> ! [X87] :
( c3_1(X87)
| ~ c2_1(X87)
| ~ c1_1(X87) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f281,plain,
( ! [X87] :
( c3_1(X87)
| ~ c2_1(X87)
| ~ c1_1(X87) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f284,definition,
( spl0_17
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f292,definition,
( spl0_19
<=> ! [X86] :
( c3_1(X86)
| ~ c2_1(X86)
| ~ c0_1(X86) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f293,plain,
( ! [X86] :
( ~ c0_1(X86)
| ~ c2_1(X86)
| c3_1(X86) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f296,definition,
( spl0_20
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f304,definition,
( spl0_22
<=> hskp10 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f308,definition,
( spl0_23
<=> ! [X84] :
( c2_1(X84)
| ~ c3_1(X84)
| ~ c1_1(X84) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f309,plain,
( ! [X84] :
( c2_1(X84)
| ~ c3_1(X84)
| ~ c1_1(X84) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f310,plain,
( spl0_1
| spl0_22
| ~ spl0_10
| spl0_23 ),
inference(avatar_split_clause,[],[f14,f308,f256,f304,f217]) ).
fof(f312,definition,
( spl0_24
<=> hskp25 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f315,plain,
( spl0_1
| spl0_24
| ~ spl0_10
| spl0_23 ),
inference(avatar_split_clause,[],[f15,f308,f256,f312,f217]) ).
fof(f317,definition,
( spl0_25
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f321,definition,
( spl0_26
<=> ! [X82] :
( c2_1(X82)
| ~ c3_1(X82)
| ~ c0_1(X82) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f322,plain,
( ! [X82] :
( c2_1(X82)
| ~ c3_1(X82)
| ~ c0_1(X82) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f323,plain,
( spl0_25
| spl0_7
| ~ spl0_10
| spl0_26 ),
inference(avatar_split_clause,[],[f16,f321,f256,f243,f317]) ).
fof(f325,definition,
( spl0_27
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f335,definition,
( spl0_29
<=> ! [X78] :
( c2_1(X78)
| ~ c1_1(X78)
| ~ c0_1(X78) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f336,plain,
( ! [X78] :
( c2_1(X78)
| ~ c1_1(X78)
| ~ c0_1(X78) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl0_30
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f343,definition,
( spl0_31
<=> ! [X77] :
( c2_1(X77)
| ~ c1_1(X77)
| c3_1(X77) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f344,plain,
( ! [X77] :
( c2_1(X77)
| ~ c1_1(X77)
| c3_1(X77) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f352,definition,
( spl0_33
<=> ! [X74] :
( ~ c0_1(X74)
| ~ c3_1(X74)
| ~ c1_1(X74) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f353,plain,
( ! [X74] :
( ~ c1_1(X74)
| ~ c3_1(X74)
| ~ c0_1(X74) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f354,plain,
( spl0_33
| spl0_19
| ~ spl0_10
| spl0_31 ),
inference(avatar_split_clause,[],[f192,f343,f256,f292,f352]) ).
fof(f355,plain,
( spl0_23
| ~ spl0_10
| spl0_31 ),
inference(avatar_split_clause,[],[f193,f343,f256,f308]) ).
fof(f357,definition,
( spl0_34
<=> ! [X69] :
( c2_1(X69)
| ~ c0_1(X69)
| c3_1(X69) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f358,plain,
( ! [X69] :
( c2_1(X69)
| ~ c0_1(X69)
| c3_1(X69) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f361,definition,
( spl0_35
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f366,definition,
( spl0_36
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f376,definition,
( spl0_38
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f380,definition,
( spl0_39
<=> ! [X63] :
( c1_1(X63)
| ~ c3_1(X63)
| ~ c0_1(X63) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f381,plain,
( ! [X63] :
( ~ c3_1(X63)
| c1_1(X63)
| ~ c0_1(X63) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f382,plain,
( spl0_38
| ~ spl0_10
| spl0_39 ),
inference(avatar_split_clause,[],[f28,f380,f256,f376]) ).
fof(f383,plain,
( spl0_27
| spl0_33
| ~ spl0_10
| spl0_39 ),
inference(avatar_split_clause,[],[f196,f380,f256,f352,f325]) ).
fof(f384,plain,
( spl0_1
| spl0_31
| ~ spl0_10
| spl0_39 ),
inference(avatar_split_clause,[],[f197,f380,f256,f343,f217]) ).
fof(f386,definition,
( spl0_40
<=> ! [X57] :
( c1_1(X57)
| ~ c2_1(X57)
| ~ c0_1(X57) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f387,plain,
( ! [X57] :
( ~ c0_1(X57)
| ~ c2_1(X57)
| c1_1(X57) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f388,plain,
( spl0_36
| spl0_29
| ~ spl0_10
| spl0_40 ),
inference(avatar_split_clause,[],[f198,f386,f256,f335,f366]) ).
fof(f391,definition,
( spl0_41
<=> ! [X54] :
( c1_1(X54)
| ~ c0_1(X54)
| c3_1(X54) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f392,plain,
( ! [X54] :
( c3_1(X54)
| ~ c0_1(X54)
| c1_1(X54) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f396,definition,
( spl0_42
<=> hskp18 ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f404,definition,
( spl0_44
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f408,definition,
( spl0_45
<=> ! [X50] :
( c1_1(X50)
| ~ c0_1(X50)
| c2_1(X50) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f409,plain,
( ! [X50] :
( c2_1(X50)
| ~ c0_1(X50)
| c1_1(X50) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f410,plain,
( spl0_44
| spl0_42
| ~ spl0_10
| spl0_45 ),
inference(avatar_split_clause,[],[f36,f408,f256,f396,f404]) ).
fof(f411,plain,
( spl0_17
| spl0_3
| ~ spl0_10
| spl0_45 ),
inference(avatar_split_clause,[],[f37,f408,f256,f225,f284]) ).
fof(f412,plain,
( spl0_12
| spl0_33
| ~ spl0_10
| spl0_45 ),
inference(avatar_split_clause,[],[f201,f408,f256,f352,f264]) ).
fof(f419,definition,
( spl0_47
<=> ! [X44] :
( c1_1(X44)
| c3_1(X44)
| c2_1(X44) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f420,plain,
( ! [X44] :
( c2_1(X44)
| c3_1(X44)
| c1_1(X44) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f422,plain,
( spl0_20
| spl0_9
| ~ spl0_10
| spl0_47 ),
inference(avatar_split_clause,[],[f41,f419,f256,f252,f296]) ).
fof(f424,definition,
( spl0_48
<=> ! [X42] :
( c0_1(X42)
| ~ c3_1(X42)
| ~ c2_1(X42) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f425,plain,
( ! [X42] :
( ~ c2_1(X42)
| ~ c3_1(X42)
| c0_1(X42) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f426,plain,
( spl0_2
| spl0_25
| ~ spl0_10
| spl0_48 ),
inference(avatar_split_clause,[],[f42,f424,f256,f317,f221]) ).
fof(f430,definition,
( spl0_49
<=> ! [X38] :
( c0_1(X38)
| ~ c2_1(X38)
| ~ c1_1(X38) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f431,plain,
( ! [X38] :
( ~ c1_1(X38)
| ~ c2_1(X38)
| c0_1(X38) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f432,plain,
( spl0_5
| spl0_25
| ~ spl0_10
| spl0_49 ),
inference(avatar_split_clause,[],[f45,f430,f256,f317,f234]) ).
fof(f434,definition,
( spl0_50
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f437,plain,
( spl0_2
| spl0_50
| ~ spl0_10
| spl0_49 ),
inference(avatar_split_clause,[],[f46,f430,f256,f434,f221]) ).
fof(f439,definition,
( spl0_51
<=> ! [X35] :
( c1_1(X35)
| ~ c2_1(X35)
| c3_1(X35) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f440,plain,
( ! [X35] :
( c3_1(X35)
| ~ c2_1(X35)
| c1_1(X35) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f441,plain,
( spl0_23
| spl0_51
| ~ spl0_10
| spl0_49 ),
inference(avatar_split_clause,[],[f204,f430,f256,f439,f308]) ).
fof(f447,definition,
( spl0_53
<=> ! [X33] :
( c0_1(X33)
| ~ c2_1(X33)
| c3_1(X33) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f448,plain,
( ! [X33] :
( c3_1(X33)
| ~ c2_1(X33)
| c0_1(X33) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f450,plain,
( spl0_3
| spl0_38
| ~ spl0_10
| spl0_53 ),
inference(avatar_split_clause,[],[f49,f447,f256,f376,f225]) ).
fof(f451,plain,
( spl0_7
| spl0_48
| ~ spl0_10
| spl0_53 ),
inference(avatar_split_clause,[],[f205,f447,f256,f424,f243]) ).
fof(f457,definition,
( spl0_55
<=> ! [X28] :
( c0_1(X28)
| c3_1(X28)
| c2_1(X28) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f458,plain,
( ! [X28] :
( c2_1(X28)
| c3_1(X28)
| c0_1(X28) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f459,plain,
( spl0_22
| spl0_20
| ~ spl0_10
| spl0_55 ),
inference(avatar_split_clause,[],[f52,f457,f256,f296,f304]) ).
fof(f460,plain,
( spl0_30
| spl0_45
| ~ spl0_10
| spl0_55 ),
inference(avatar_split_clause,[],[f206,f457,f256,f408,f339]) ).
fof(f462,definition,
( spl0_56
<=> ! [X25] :
( c0_1(X25)
| ~ c3_1(X25)
| ~ c1_1(X25) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f463,plain,
( ! [X25] :
( ~ c1_1(X25)
| ~ c3_1(X25)
| c0_1(X25) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f464,plain,
( spl0_15
| spl0_56
| ~ spl0_10
| spl0_55 ),
inference(avatar_split_clause,[],[f207,f457,f256,f462,f276]) ).
fof(f466,definition,
( spl0_57
<=> ! [X23] :
( c0_1(X23)
| ~ c3_1(X23)
| c1_1(X23) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f467,plain,
( ! [X23] :
( c0_1(X23)
| ~ c3_1(X23)
| c1_1(X23) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f468,plain,
( spl0_25
| spl0_35
| ~ spl0_10
| spl0_57 ),
inference(avatar_split_clause,[],[f55,f466,f256,f361,f317]) ).
fof(f469,plain,
( spl0_7
| spl0_11
| ~ spl0_10
| spl0_57 ),
inference(avatar_split_clause,[],[f208,f466,f256,f260,f243]) ).
fof(f475,definition,
( spl0_59
<=> ! [X17] :
( c0_1(X17)
| c3_1(X17)
| c1_1(X17) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f476,plain,
( ! [X17] :
( c0_1(X17)
| c3_1(X17)
| c1_1(X17) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f477,plain,
( spl0_34
| spl0_49
| ~ spl0_10
| spl0_59 ),
inference(avatar_split_clause,[],[f209,f475,f256,f430,f357]) ).
fof(f478,plain,
( spl0_34
| spl0_55
| ~ spl0_10
| spl0_59 ),
inference(avatar_split_clause,[],[f210,f475,f256,f457,f357]) ).
fof(f480,definition,
( spl0_60
<=> ! [X13] :
( c0_1(X13)
| c2_1(X13)
| c1_1(X13) ) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f481,plain,
( ! [X13] :
( c2_1(X13)
| c0_1(X13)
| c1_1(X13) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f483,plain,
( spl0_16
| spl0_19
| ~ spl0_10
| spl0_60 ),
inference(avatar_split_clause,[],[f211,f480,f256,f292,f280]) ).
fof(f486,plain,
( spl0_41
| spl0_53
| ~ spl0_10
| spl0_60 ),
inference(avatar_split_clause,[],[f214,f480,f256,f447,f391]) ).
fof(f524,definition,
( spl0_68
<=> c3_1(a916) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f526,plain,
( c3_1(a916)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f527,plain,
( spl0_68
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f74,f376,f524]) ).
fof(f529,definition,
( spl0_69
<=> c1_1(a916) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f531,plain,
( c1_1(a916)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f532,plain,
( spl0_69
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f75,f376,f529]) ).
fof(f534,definition,
( spl0_70
<=> c0_1(a916) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f536,plain,
( c0_1(a916)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f537,plain,
( spl0_70
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f76,f376,f534]) ).
fof(f540,definition,
( spl0_71
<=> c3_1(a900) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f542,plain,
( c3_1(a900)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f543,plain,
( spl0_71
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f78,f296,f540]) ).
fof(f545,definition,
( spl0_72
<=> c2_1(a900) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f547,plain,
( c2_1(a900)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f548,plain,
( spl0_72
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f79,f296,f545]) ).
fof(f550,definition,
( spl0_73
<=> c1_1(a900) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f553,plain,
( spl0_73
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f80,f296,f550]) ).
fof(f572,definition,
( spl0_77
<=> c1_1(a960) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f574,plain,
( ~ c1_1(a960)
| spl0_77 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f575,plain,
( ~ spl0_77
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f86,f312,f572]) ).
fof(f577,definition,
( spl0_78
<=> c3_1(a960) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f579,plain,
( c3_1(a960)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f580,plain,
( spl0_78
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f87,f312,f577]) ).
fof(f582,definition,
( spl0_79
<=> c0_1(a960) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f585,plain,
( spl0_79
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f88,f312,f582]) ).
fof(f604,definition,
( spl0_83
<=> c0_1(a954) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f607,plain,
( ~ spl0_83
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f94,f268,f604]) ).
fof(f609,definition,
( spl0_84
<=> c3_1(a954) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f611,plain,
( c3_1(a954)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f612,plain,
( spl0_84
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f95,f268,f609]) ).
fof(f614,definition,
( spl0_85
<=> c1_1(a954) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f616,plain,
( c1_1(a954)
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f617,plain,
( spl0_85
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f96,f268,f614]) ).
fof(f636,definition,
( spl0_89
<=> c3_1(a946) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f639,plain,
( ~ spl0_89
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f102,f217,f636]) ).
fof(f641,definition,
( spl0_90
<=> c2_1(a946) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f643,plain,
( ~ c2_1(a946)
| spl0_90 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f644,plain,
( ~ spl0_90
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f103,f217,f641]) ).
fof(f646,definition,
( spl0_91
<=> c0_1(a946) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f648,plain,
( ~ c0_1(a946)
| spl0_91 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f649,plain,
( ~ spl0_91
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f104,f217,f646]) ).
fof(f650,plain,
( spl0_10
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f105,f217,f256]) ).
fof(f652,definition,
( spl0_92
<=> c3_1(a939) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f654,plain,
( ~ c3_1(a939)
| spl0_92 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f655,plain,
( ~ spl0_92
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f106,f238,f652]) ).
fof(f662,definition,
( spl0_94
<=> c0_1(a939) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f664,plain,
( c0_1(a939)
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f665,plain,
( spl0_94
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f108,f238,f662]) ).
fof(f668,definition,
( spl0_95
<=> c0_1(a938) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f670,plain,
( ~ c0_1(a938)
| spl0_95 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f671,plain,
( ~ spl0_95
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f110,f404,f668]) ).
fof(f673,definition,
( spl0_96
<=> c3_1(a938) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f675,plain,
( c3_1(a938)
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f676,plain,
( spl0_96
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f111,f404,f673]) ).
fof(f678,definition,
( spl0_97
<=> c2_1(a938) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f680,plain,
( c2_1(a938)
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f681,plain,
( spl0_97
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f112,f404,f678]) ).
fof(f684,definition,
( spl0_98
<=> c2_1(a937) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f686,plain,
( ~ c2_1(a937)
| spl0_98 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f687,plain,
( ~ spl0_98
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f114,f396,f684]) ).
fof(f694,definition,
( spl0_100
<=> c1_1(a937) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f697,plain,
( spl0_100
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f116,f396,f694]) ).
fof(f700,definition,
( spl0_101
<=> c3_1(a936) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f702,plain,
( ~ c3_1(a936)
| spl0_101 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f703,plain,
( ~ spl0_101
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f118,f284,f700]) ).
fof(f705,definition,
( spl0_102
<=> c2_1(a936) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f707,plain,
( ~ c2_1(a936)
| spl0_102 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f708,plain,
( ~ spl0_102
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f119,f284,f705]) ).
fof(f710,definition,
( spl0_103
<=> c1_1(a936) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f713,plain,
( ~ spl0_103
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f120,f284,f710]) ).
fof(f732,definition,
( spl0_107
<=> c1_1(a924) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f734,plain,
( ~ c1_1(a924)
| spl0_107 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f735,plain,
( ~ spl0_107
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f126,f264,f732]) ).
fof(f737,definition,
( spl0_108
<=> c0_1(a924) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f739,plain,
( ~ c0_1(a924)
| spl0_108 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f740,plain,
( ~ spl0_108
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f127,f264,f737]) ).
fof(f742,definition,
( spl0_109
<=> c2_1(a924) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f744,plain,
( c2_1(a924)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f745,plain,
( spl0_109
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f128,f264,f742]) ).
fof(f748,definition,
( spl0_110
<=> c1_1(a923) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f751,plain,
( ~ spl0_110
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f130,f234,f748]) ).
fof(f753,definition,
( spl0_111
<=> c0_1(a923) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f755,plain,
( ~ c0_1(a923)
| spl0_111 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f756,plain,
( ~ spl0_111
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f131,f234,f753]) ).
fof(f758,definition,
( spl0_112
<=> c3_1(a923) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f760,plain,
( c3_1(a923)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f761,plain,
( spl0_112
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f132,f234,f758]) ).
fof(f764,definition,
( spl0_113
<=> c3_1(a921) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f766,plain,
( ~ c3_1(a921)
| spl0_113 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f767,plain,
( ~ spl0_113
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f134,f221,f764]) ).
fof(f769,definition,
( spl0_114
<=> c0_1(a921) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f771,plain,
( ~ c0_1(a921)
| spl0_114 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f772,plain,
( ~ spl0_114
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f135,f221,f769]) ).
fof(f774,definition,
( spl0_115
<=> c2_1(a921) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f777,plain,
( spl0_115
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f136,f221,f774]) ).
fof(f778,plain,
( spl0_10
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f137,f221,f256]) ).
fof(f780,definition,
( spl0_116
<=> c2_1(a917) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f782,plain,
( ~ c2_1(a917)
| spl0_116 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f783,plain,
( ~ spl0_116
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f138,f225,f780]) ).
fof(f785,definition,
( spl0_117
<=> c3_1(a917) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f787,plain,
( c3_1(a917)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f788,plain,
( spl0_117
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f139,f225,f785]) ).
fof(f790,definition,
( spl0_118
<=> c1_1(a917) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f792,plain,
( c1_1(a917)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f793,plain,
( spl0_118
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f140,f225,f790]) ).
fof(f794,plain,
( spl0_10
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f141,f225,f256]) ).
fof(f796,definition,
( spl0_119
<=> c2_1(a914) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f798,plain,
( ~ c2_1(a914)
| spl0_119 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f799,plain,
( ~ spl0_119
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f142,f252,f796]) ).
fof(f801,definition,
( spl0_120
<=> c3_1(a914) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f803,plain,
( c3_1(a914)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f804,plain,
( spl0_120
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f143,f252,f801]) ).
fof(f806,definition,
( spl0_121
<=> c0_1(a914) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f808,plain,
( c0_1(a914)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f809,plain,
( spl0_121
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f144,f252,f806]) ).
fof(f812,definition,
( spl0_122
<=> c0_1(a912) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f814,plain,
( ~ c0_1(a912)
| spl0_122 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f815,plain,
( ~ spl0_122
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f146,f304,f812]) ).
fof(f817,definition,
( spl0_123
<=> c2_1(a912) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f819,plain,
( c2_1(a912)
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f820,plain,
( spl0_123
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f147,f304,f817]) ).
fof(f822,definition,
( spl0_124
<=> c1_1(a912) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f824,plain,
( c1_1(a912)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f825,plain,
( spl0_124
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f148,f304,f822]) ).
fof(f828,definition,
( spl0_125
<=> c3_1(a910) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f830,plain,
( ~ c3_1(a910)
| spl0_125 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f831,plain,
( ~ spl0_125
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f150,f339,f828]) ).
fof(f833,definition,
( spl0_126
<=> c1_1(a910) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f835,plain,
( ~ c1_1(a910)
| spl0_126 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f836,plain,
( ~ spl0_126
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f151,f339,f833]) ).
fof(f838,definition,
( spl0_127
<=> c2_1(a910) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f840,plain,
( c2_1(a910)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f841,plain,
( spl0_127
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f152,f339,f838]) ).
fof(f844,definition,
( spl0_128
<=> c3_1(a909) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f847,plain,
( ~ spl0_128
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f154,f276,f844]) ).
fof(f849,definition,
( spl0_129
<=> c0_1(a909) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f851,plain,
( ~ c0_1(a909)
| spl0_129 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f852,plain,
( ~ spl0_129
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f155,f276,f849]) ).
fof(f854,definition,
( spl0_130
<=> c1_1(a909) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f856,plain,
( c1_1(a909)
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f857,plain,
( spl0_130
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f156,f276,f854]) ).
fof(f860,definition,
( spl0_131
<=> c3_1(a908) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f863,plain,
( ~ spl0_131
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f158,f317,f860]) ).
fof(f865,definition,
( spl0_132
<=> c2_1(a908) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f867,plain,
( ~ c2_1(a908)
| spl0_132 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f868,plain,
( ~ spl0_132
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f159,f317,f865]) ).
fof(f870,definition,
( spl0_133
<=> c1_1(a908) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f873,plain,
( spl0_133
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f160,f317,f870]) ).
fof(f876,definition,
( spl0_134
<=> c2_1(a907) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f878,plain,
( ~ c2_1(a907)
| spl0_134 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f879,plain,
( ~ spl0_134
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f162,f361,f876]) ).
fof(f881,definition,
( spl0_135
<=> c1_1(a907) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f883,plain,
( c1_1(a907)
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f884,plain,
( spl0_135
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f163,f361,f881]) ).
fof(f886,definition,
( spl0_136
<=> c0_1(a907) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f888,plain,
( c0_1(a907)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f889,plain,
( spl0_136
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f164,f361,f886]) ).
fof(f892,definition,
( spl0_137
<=> c3_1(a906) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f894,plain,
( ~ c3_1(a906)
| spl0_137 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f895,plain,
( ~ spl0_137
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f166,f243,f892]) ).
fof(f897,definition,
( spl0_138
<=> c2_1(a906) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f899,plain,
( c2_1(a906)
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f900,plain,
( spl0_138
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f167,f243,f897]) ).
fof(f902,definition,
( spl0_139
<=> c0_1(a906) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f904,plain,
( c0_1(a906)
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f905,plain,
( spl0_139
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f168,f243,f902]) ).
fof(f913,definition,
( spl0_141
<=> c0_1(a905) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f916,plain,
( ~ spl0_141
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f171,f230,f913]) ).
fof(f918,definition,
( spl0_142
<=> c3_1(a905) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f920,plain,
( c3_1(a905)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f921,plain,
( spl0_142
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f172,f230,f918]) ).
fof(f924,definition,
( spl0_143
<=> c2_1(a904) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f926,plain,
( ~ c2_1(a904)
| spl0_143 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f927,plain,
( ~ spl0_143
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f174,f434,f924]) ).
fof(f929,definition,
( spl0_144
<=> c1_1(a904) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f931,plain,
( ~ c1_1(a904)
| spl0_144 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f932,plain,
( ~ spl0_144
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f175,f434,f929]) ).
fof(f934,definition,
( spl0_145
<=> c0_1(a904) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f936,plain,
( c0_1(a904)
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f934]) ).
fof(f937,plain,
( spl0_145
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f176,f434,f934]) ).
fof(f956,definition,
( spl0_149
<=> c1_1(a902) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f959,plain,
( ~ spl0_149
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f182,f325,f956]) ).
fof(f961,definition,
( spl0_150
<=> c2_1(a902) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f964,plain,
( spl0_150
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f183,f325,f961]) ).
fof(f966,definition,
( spl0_151
<=> c0_1(a902) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f968,plain,
( c0_1(a902)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f969,plain,
( spl0_151
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f184,f325,f966]) ).
fof(f972,definition,
( spl0_152
<=> c3_1(a901) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f974,plain,
( ~ c3_1(a901)
| spl0_152 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f975,plain,
( ~ spl0_152
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f186,f366,f972]) ).
fof(f977,definition,
( spl0_153
<=> c1_1(a901) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f979,plain,
( ~ c1_1(a901)
| spl0_153 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f980,plain,
( ~ spl0_153
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f187,f366,f977]) ).
fof(f982,definition,
( spl0_154
<=> c0_1(a901) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f984,plain,
( ~ c0_1(a901)
| spl0_154 ),
inference(avatar_component_clause,[],[f982]) ).
fof(f985,plain,
( ~ spl0_154
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f188,f366,f982]) ).
fof(f987,plain,
( ! [X84] :
( ~ c3_1(X84)
| ~ c1_1(X84) )
| ~ spl0_11
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f309,f261]) ).
fof(f1017,plain,
( ~ c1_1(a900)
| ~ spl0_11
| ~ spl0_23
| ~ spl0_71 ),
inference(resolution,[],[f542,f987]) ).
fof(f1019,plain,
( ~ c1_1(a900)
| ~ c2_1(a900)
| ~ spl0_11
| ~ spl0_71 ),
inference(resolution,[],[f542,f261]) ).
fof(f1020,plain,
( ~ spl0_72
| ~ spl0_73
| ~ spl0_11
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f1019,f540,f260,f550,f545]) ).
fof(f1022,plain,
( ~ spl0_73
| ~ spl0_11
| ~ spl0_23
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f1017,f540,f308,f260,f550]) ).
fof(f1026,definition,
( spl0_155
<=> c0_1(a917) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f1037,plain,
( ~ c3_1(a917)
| ~ c1_1(a917)
| ~ spl0_23
| spl0_116 ),
inference(resolution,[],[f309,f782]) ).
fof(f1038,plain,
( ~ c1_1(a917)
| ~ spl0_23
| spl0_116
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f1037,f787]) ).
fof(f1041,plain,
( ~ spl0_118
| ~ spl0_23
| spl0_116
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f1038,f785,f780,f308,f790]) ).
fof(f1042,plain,
( ~ c3_1(a914)
| ~ c1_1(a914)
| ~ spl0_23
| spl0_119 ),
inference(resolution,[],[f798,f309]) ).
fof(f1046,definition,
( spl0_156
<=> c1_1(a914) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f1048,plain,
( ~ c1_1(a914)
| spl0_156 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1051,plain,
( ~ spl0_156
| ~ spl0_120
| ~ spl0_23
| spl0_119 ),
inference(avatar_split_clause,[],[f1042,f796,f308,f801,f1046]) ).
fof(f1088,plain,
( ~ c3_1(a914)
| ~ c0_1(a914)
| ~ spl0_26
| spl0_119 ),
inference(resolution,[],[f322,f798]) ).
fof(f1089,plain,
( ~ c3_1(a917)
| ~ c0_1(a917)
| ~ spl0_26
| spl0_116 ),
inference(resolution,[],[f322,f782]) ).
fof(f1091,plain,
( ~ c0_1(a914)
| ~ spl0_26
| spl0_119
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[],[f1088,f803]) ).
fof(f1094,plain,
( ! [X77] :
( c2_1(X77)
| ~ c1_1(X77) )
| ~ spl0_23
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f344,f309]) ).
fof(f1118,plain,
( c1_1(a914)
| ~ c0_1(a914)
| ~ spl0_39
| ~ spl0_120 ),
inference(resolution,[],[f381,f803]) ).
fof(f1122,plain,
( c1_1(a960)
| ~ c0_1(a960)
| ~ spl0_39
| ~ spl0_78 ),
inference(resolution,[],[f381,f579]) ).
fof(f1124,plain,
( ~ c0_1(a960)
| ~ spl0_39
| spl0_77
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f1122,f574]) ).
fof(f1125,plain,
( ~ c0_1(a914)
| ~ spl0_39
| ~ spl0_120
| spl0_156 ),
inference(forward_subsumption_resolution,[],[f1118,f1048]) ).
fof(f1128,plain,
( $false
| ~ spl0_39
| ~ spl0_120
| ~ spl0_121
| spl0_156 ),
inference(forward_subsumption_resolution,[],[f1125,f808]) ).
fof(f1129,plain,
( ~ spl0_39
| ~ spl0_120
| ~ spl0_121
| spl0_156 ),
inference(avatar_contradiction_clause,[],[f1128]) ).
fof(f1131,plain,
( ~ c0_1(a906)
| c1_1(a906)
| ~ spl0_41
| spl0_137 ),
inference(resolution,[],[f392,f894]) ).
fof(f1139,plain,
( c1_1(a906)
| ~ spl0_41
| spl0_137
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f1131,f904]) ).
fof(f1148,plain,
( ~ c0_1(a900)
| ~ c2_1(a900)
| ~ spl0_14
| ~ spl0_71 ),
inference(resolution,[],[f273,f542]) ).
fof(f1152,plain,
( ! [X50] :
( c2_1(X50)
| ~ c0_1(X50) )
| ~ spl0_23
| ~ spl0_31
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f409,f1094]) ).
fof(f1165,plain,
( ~ c0_1(a914)
| ~ spl0_23
| ~ spl0_31
| ~ spl0_45
| spl0_119 ),
inference(resolution,[],[f1152,f798]) ).
fof(f1173,plain,
( ~ c1_1(a937)
| ~ spl0_23
| ~ spl0_31
| spl0_98 ),
inference(resolution,[],[f686,f1094]) ).
fof(f1180,plain,
( ~ spl0_100
| ~ spl0_23
| ~ spl0_31
| spl0_98 ),
inference(avatar_split_clause,[],[f1173,f684,f343,f308,f694]) ).
fof(f1185,definition,
( spl0_159
<=> c0_1(a900) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f1186,plain,
( c0_1(a900)
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f1194,plain,
( ~ spl0_121
| ~ spl0_23
| ~ spl0_31
| ~ spl0_45
| spl0_119 ),
inference(avatar_split_clause,[],[f1165,f796,f408,f343,f308,f806]) ).
fof(f1213,plain,
( ~ c1_1(a916)
| ~ spl0_11
| ~ spl0_23
| ~ spl0_68 ),
inference(resolution,[],[f987,f526]) ).
fof(f1215,plain,
( $false
| ~ spl0_11
| ~ spl0_23
| ~ spl0_68
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f1213,f531]) ).
fof(f1216,plain,
( ~ spl0_11
| ~ spl0_23
| ~ spl0_68
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f1215]) ).
fof(f1222,plain,
( ~ spl0_79
| ~ spl0_39
| spl0_77
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1124,f577,f572,f380,f582]) ).
fof(f1275,definition,
( spl0_162
<=> c1_1(a906) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f1277,plain,
( c1_1(a906)
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f1283,plain,
( spl0_162
| ~ spl0_41
| spl0_137
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1139,f902,f892,f391,f1275]) ).
fof(f1397,plain,
( ~ c2_1(a902)
| c1_1(a902)
| ~ spl0_40
| ~ spl0_151 ),
inference(resolution,[],[f387,f968]) ).
fof(f1412,plain,
( spl0_149
| ~ spl0_150
| ~ spl0_40
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f1397,f966,f386,f961,f956]) ).
fof(f1427,plain,
( ~ c2_1(a909)
| c0_1(a909)
| ~ spl0_49
| ~ spl0_130 ),
inference(resolution,[],[f431,f856]) ).
fof(f1434,plain,
( ~ c2_1(a909)
| ~ spl0_49
| spl0_129
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f1427,f851]) ).
fof(f1440,plain,
( ! [X0] :
( ~ c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_11
| ~ spl0_23
| ~ spl0_53 ),
inference(resolution,[],[f448,f987]) ).
fof(f1447,plain,
( ~ c2_1(a921)
| c0_1(a921)
| ~ spl0_53
| spl0_113 ),
inference(resolution,[],[f448,f766]) ).
fof(f1469,plain,
( spl0_49
| ~ spl0_11
| ~ spl0_23
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f1440,f447,f308,f260,f430]) ).
fof(f1487,plain,
( ~ c2_1(a921)
| ~ spl0_53
| spl0_113
| spl0_114 ),
inference(forward_subsumption_resolution,[],[f1447,f771]) ).
fof(f1497,plain,
( ~ spl0_115
| ~ spl0_53
| spl0_113
| spl0_114 ),
inference(avatar_split_clause,[],[f1487,f769,f764,f447,f774]) ).
fof(f1506,plain,
( c3_1(a946)
| c1_1(a946)
| ~ spl0_47
| spl0_90 ),
inference(resolution,[],[f643,f420]) ).
fof(f1547,plain,
( ! [X42] :
( ~ c2_1(X42)
| c0_1(X42) )
| ~ spl0_48
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f425,f448]) ).
fof(f1584,plain,
( c3_1(a936)
| c1_1(a936)
| ~ spl0_47
| spl0_102 ),
inference(resolution,[],[f707,f420]) ).
fof(f1588,plain,
( c1_1(a936)
| ~ spl0_47
| spl0_101
| spl0_102 ),
inference(forward_subsumption_resolution,[],[f1584,f702]) ).
fof(f1602,plain,
( spl0_103
| ~ spl0_47
| spl0_101
| spl0_102 ),
inference(avatar_split_clause,[],[f1588,f705,f700,f419,f710]) ).
fof(f1607,plain,
( ! [X86] :
( ~ c2_1(X86)
| c3_1(X86) )
| ~ spl0_19
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f293,f448]) ).
fof(f1620,plain,
( c0_1(a924)
| ~ spl0_48
| ~ spl0_53
| ~ spl0_109 ),
inference(resolution,[],[f1547,f744]) ).
fof(f1624,plain,
( c0_1(a900)
| ~ spl0_48
| ~ spl0_53
| ~ spl0_72 ),
inference(resolution,[],[f1547,f547]) ).
fof(f1629,plain,
( spl0_159
| ~ spl0_48
| ~ spl0_53
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f1624,f545,f447,f424,f1185]) ).
fof(f1644,plain,
( spl0_108
| ~ spl0_48
| ~ spl0_53
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f1620,f742,f447,f424,f737]) ).
fof(f1657,plain,
( c3_1(a910)
| ~ spl0_19
| ~ spl0_53
| ~ spl0_127 ),
inference(resolution,[],[f1607,f840]) ).
fof(f1667,plain,
( $false
| ~ spl0_19
| ~ spl0_53
| spl0_125
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f1657,f830]) ).
fof(f1668,plain,
( ~ spl0_19
| ~ spl0_53
| spl0_125
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f1667]) ).
fof(f1713,plain,
( ~ c3_1(a916)
| ~ c0_1(a916)
| ~ spl0_33
| ~ spl0_69 ),
inference(resolution,[],[f353,f531]) ).
fof(f1714,plain,
( ~ c0_1(a916)
| ~ spl0_33
| ~ spl0_68
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f1713,f526]) ).
fof(f1717,plain,
( $false
| ~ spl0_33
| ~ spl0_68
| ~ spl0_69
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[],[f1714,f536]) ).
fof(f1718,plain,
( ~ spl0_33
| ~ spl0_68
| ~ spl0_69
| ~ spl0_70 ),
inference(avatar_contradiction_clause,[],[f1717]) ).
fof(f1721,plain,
( ~ c2_1(a906)
| c3_1(a906)
| ~ spl0_19
| ~ spl0_139 ),
inference(resolution,[],[f293,f904]) ).
fof(f1730,plain,
( c3_1(a906)
| ~ spl0_19
| ~ spl0_138
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f1721,f899]) ).
fof(f1735,plain,
( spl0_137
| ~ spl0_19
| ~ spl0_138
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1730,f902,f897,f292,f892]) ).
fof(f1736,plain,
( ! [X69] :
( c3_1(X69)
| ~ c0_1(X69) )
| ~ spl0_19
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f358,f293]) ).
fof(f1746,plain,
( ~ c0_1(a939)
| ~ spl0_19
| ~ spl0_34
| spl0_92 ),
inference(resolution,[],[f1736,f654]) ).
fof(f1748,plain,
( $false
| ~ spl0_19
| ~ spl0_34
| spl0_92
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[],[f1746,f664]) ).
fof(f1749,plain,
( ~ spl0_19
| ~ spl0_34
| spl0_92
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[],[f1748]) ).
fof(f1773,plain,
( ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_23
| ~ spl0_48 ),
inference(resolution,[],[f425,f309]) ).
fof(f1779,plain,
( ~ c3_1(a924)
| c0_1(a924)
| ~ spl0_48
| ~ spl0_109 ),
inference(resolution,[],[f425,f744]) ).
fof(f1781,plain,
( ~ c3_1(a938)
| c0_1(a938)
| ~ spl0_48
| ~ spl0_97 ),
inference(resolution,[],[f425,f680]) ).
fof(f1784,plain,
( ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0) )
| ~ spl0_23
| ~ spl0_48 ),
inference(duplicate_literal_removal,[],[f1773]) ).
fof(f1789,plain,
( spl0_56
| ~ spl0_23
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f1784,f424,f308,f462]) ).
fof(f1795,plain,
( ~ c3_1(a938)
| ~ spl0_48
| spl0_95
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f1781,f670]) ).
fof(f1796,plain,
( ~ spl0_96
| ~ spl0_48
| spl0_95
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1795,f678,f668,f424,f673]) ).
fof(f1845,plain,
( ~ c3_1(a954)
| c0_1(a954)
| ~ spl0_56
| ~ spl0_85 ),
inference(resolution,[],[f463,f616]) ).
fof(f1848,plain,
( c0_1(a954)
| ~ spl0_56
| ~ spl0_84
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f1845,f611]) ).
fof(f1852,plain,
( spl0_83
| ~ spl0_56
| ~ spl0_84
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1848,f614,f609,f462,f604]) ).
fof(f1855,plain,
( ! [X23] :
( ~ c3_1(X23)
| c0_1(X23) )
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f467,f463]) ).
fof(f1888,plain,
( c0_1(a905)
| ~ spl0_56
| ~ spl0_57
| ~ spl0_142 ),
inference(resolution,[],[f920,f1855]) ).
fof(f1891,plain,
( spl0_141
| ~ spl0_56
| ~ spl0_57
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1888,f918,f466,f462,f913]) ).
fof(f1904,plain,
( ~ c1_1(a907)
| ~ c0_1(a907)
| ~ spl0_29
| spl0_134 ),
inference(resolution,[],[f336,f878]) ).
fof(f1915,plain,
( ~ c0_1(a907)
| ~ spl0_29
| spl0_134
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f1904,f883]) ).
fof(f1917,plain,
( $false
| ~ spl0_29
| spl0_134
| ~ spl0_135
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f1915,f888]) ).
fof(f1918,plain,
( ~ spl0_29
| spl0_134
| ~ spl0_135
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f1917]) ).
fof(f2010,plain,
( ~ c1_1(a907)
| ~ spl0_23
| ~ spl0_31
| spl0_134 ),
inference(resolution,[],[f1094,f878]) ).
fof(f2017,plain,
( $false
| ~ spl0_23
| ~ spl0_31
| spl0_134
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f2010,f883]) ).
fof(f2018,plain,
( ~ spl0_23
| ~ spl0_31
| spl0_134
| ~ spl0_135 ),
inference(avatar_contradiction_clause,[],[f2017]) ).
fof(f2019,plain,
( ! [X38] :
( ~ c1_1(X38)
| c0_1(X38) )
| ~ spl0_23
| ~ spl0_31
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f431,f1094]) ).
fof(f2037,plain,
( c3_1(a946)
| c0_1(a946)
| ~ spl0_55
| spl0_90 ),
inference(resolution,[],[f458,f643]) ).
fof(f2039,plain,
( ! [X23] :
( c0_1(X23)
| ~ c3_1(X23) )
| ~ spl0_23
| ~ spl0_31
| ~ spl0_49
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f467,f2019]) ).
fof(f2046,plain,
( ~ c3_1(a938)
| ~ spl0_23
| ~ spl0_31
| ~ spl0_49
| ~ spl0_57
| spl0_95 ),
inference(resolution,[],[f2039,f670]) ).
fof(f2049,plain,
( $false
| ~ spl0_23
| ~ spl0_31
| ~ spl0_49
| ~ spl0_57
| spl0_95
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f2046,f675]) ).
fof(f2050,plain,
( ~ spl0_23
| ~ spl0_31
| ~ spl0_49
| ~ spl0_57
| spl0_95
| ~ spl0_96 ),
inference(avatar_contradiction_clause,[],[f2049]) ).
fof(f2057,plain,
( ~ c3_1(a923)
| c1_1(a923)
| ~ spl0_57
| spl0_111 ),
inference(resolution,[],[f467,f755]) ).
fof(f2064,plain,
( c1_1(a923)
| ~ spl0_57
| spl0_111
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f2057,f760]) ).
fof(f2068,plain,
( ! [X69] :
( c2_1(X69)
| c3_1(X69) )
| ~ spl0_34
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f358,f458]) ).
fof(f2074,plain,
( spl0_110
| ~ spl0_57
| spl0_111
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f2064,f758,f753,f466,f748]) ).
fof(f2100,plain,
( ~ c2_1(a912)
| c0_1(a912)
| ~ spl0_49
| ~ spl0_124 ),
inference(resolution,[],[f431,f824]) ).
fof(f2109,plain,
( c0_1(a912)
| ~ spl0_49
| ~ spl0_123
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f2100,f819]) ).
fof(f2110,plain,
( $false
| ~ spl0_49
| spl0_122
| ~ spl0_123
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f2109,f814]) ).
fof(f2111,plain,
( ~ spl0_49
| spl0_122
| ~ spl0_123
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f2110]) ).
fof(f2112,plain,
( ! [X35] :
( c1_1(X35)
| c3_1(X35) )
| ~ spl0_34
| ~ spl0_51
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f440,f2068]) ).
fof(f2119,plain,
( ~ c1_1(a908)
| c3_1(a908)
| ~ spl0_31
| spl0_132 ),
inference(resolution,[],[f344,f867]) ).
fof(f2124,plain,
( ~ c1_1(a946)
| c3_1(a946)
| ~ spl0_31
| spl0_90 ),
inference(resolution,[],[f344,f643]) ).
fof(f2134,definition,
( spl0_171
<=> c1_1(a946) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
fof(f2137,plain,
( spl0_89
| ~ spl0_171
| ~ spl0_31
| spl0_90 ),
inference(avatar_split_clause,[],[f2124,f641,f343,f2134,f636]) ).
fof(f2168,plain,
( ~ c1_1(a909)
| c3_1(a909)
| ~ spl0_31
| ~ spl0_49
| spl0_129
| ~ spl0_130 ),
inference(resolution,[],[f1434,f344]) ).
fof(f2169,plain,
( c3_1(a909)
| ~ spl0_31
| ~ spl0_49
| spl0_129
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f2168,f856]) ).
fof(f2174,plain,
( spl0_128
| ~ spl0_31
| ~ spl0_49
| spl0_129
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2169,f854,f849,f430,f343,f844]) ).
fof(f2201,plain,
( ~ c0_1(a904)
| c1_1(a904)
| ~ spl0_45
| spl0_143 ),
inference(resolution,[],[f409,f926]) ).
fof(f2215,plain,
( c1_1(a904)
| ~ spl0_45
| spl0_143
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f2201,f936]) ).
fof(f2226,plain,
( $false
| ~ spl0_45
| spl0_143
| spl0_144
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f2215,f931]) ).
fof(f2227,plain,
( ~ spl0_45
| spl0_143
| spl0_144
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f2226]) ).
fof(f2238,plain,
( ~ c2_1(a900)
| ~ spl0_14
| ~ spl0_71
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f1148,f1186]) ).
fof(f2257,definition,
( spl0_174
<=> c3_1(a924) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
fof(f2263,plain,
( $false
| ~ spl0_14
| ~ spl0_71
| ~ spl0_72
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f2238,f547]) ).
fof(f2264,plain,
( ~ spl0_14
| ~ spl0_71
| ~ spl0_72
| ~ spl0_159 ),
inference(avatar_contradiction_clause,[],[f2263]) ).
fof(f2277,plain,
( ~ c3_1(a924)
| ~ spl0_48
| spl0_108
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f1779,f739]) ).
fof(f2282,plain,
( ~ spl0_174
| ~ spl0_48
| spl0_108
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f2277,f742,f737,f424,f2257]) ).
fof(f2298,plain,
( ~ c0_1(a914)
| c1_1(a914)
| ~ spl0_45
| spl0_119 ),
inference(resolution,[],[f409,f798]) ).
fof(f2324,plain,
( ~ c2_1(a906)
| c1_1(a906)
| ~ spl0_51
| spl0_137 ),
inference(resolution,[],[f440,f894]) ).
fof(f2326,plain,
( ~ c2_1(a910)
| c1_1(a910)
| ~ spl0_51
| spl0_125 ),
inference(resolution,[],[f440,f830]) ).
fof(f2341,plain,
( c1_1(a910)
| ~ spl0_51
| spl0_125
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f2326,f840]) ).
fof(f2348,plain,
( $false
| ~ spl0_51
| spl0_125
| spl0_126
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f2341,f835]) ).
fof(f2349,plain,
( ~ spl0_51
| spl0_125
| spl0_126
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f2348]) ).
fof(f2354,plain,
( ~ c3_1(a917)
| c0_1(a917)
| ~ spl0_56
| ~ spl0_118 ),
inference(resolution,[],[f463,f792]) ).
fof(f2362,plain,
( c3_1(a901)
| c1_1(a901)
| ~ spl0_59
| spl0_154 ),
inference(resolution,[],[f476,f984]) ).
fof(f2368,plain,
( c3_1(a924)
| c1_1(a924)
| ~ spl0_59
| spl0_108 ),
inference(resolution,[],[f476,f739]) ).
fof(f2378,plain,
( c3_1(a924)
| ~ spl0_59
| spl0_107
| spl0_108 ),
inference(forward_subsumption_resolution,[],[f2368,f734]) ).
fof(f2382,plain,
( c1_1(a901)
| ~ spl0_59
| spl0_152
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f2362,f974]) ).
fof(f2389,plain,
( spl0_174
| ~ spl0_59
| spl0_107
| spl0_108 ),
inference(avatar_split_clause,[],[f2378,f737,f732,f475,f2257]) ).
fof(f2394,plain,
( $false
| ~ spl0_59
| spl0_152
| spl0_153
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f2382,f979]) ).
fof(f2395,plain,
( ~ spl0_59
| spl0_152
| spl0_153
| spl0_154 ),
inference(avatar_contradiction_clause,[],[f2394]) ).
fof(f2413,plain,
( ! [X13] :
( c2_1(X13)
| c1_1(X13) )
| ~ spl0_45
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f481,f409]) ).
fof(f2434,plain,
( ! [X87] :
( ~ c1_1(X87)
| c3_1(X87) )
| ~ spl0_16
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f281,f344]) ).
fof(f2445,plain,
( c3_1(a906)
| ~ spl0_16
| ~ spl0_31
| ~ spl0_162 ),
inference(resolution,[],[f2434,f1277]) ).
fof(f2447,plain,
( c3_1(a909)
| ~ spl0_16
| ~ spl0_31
| ~ spl0_130 ),
inference(resolution,[],[f2434,f856]) ).
fof(f2461,plain,
( $false
| ~ spl0_16
| ~ spl0_31
| spl0_137
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f2445,f894]) ).
fof(f2462,plain,
( ~ spl0_16
| ~ spl0_31
| spl0_137
| ~ spl0_162 ),
inference(avatar_contradiction_clause,[],[f2461]) ).
fof(f2486,plain,
( c0_1(a946)
| c1_1(a946)
| ~ spl0_60
| spl0_90 ),
inference(resolution,[],[f481,f643]) ).
fof(f2510,plain,
( ! [X82] :
( c2_1(X82)
| ~ c0_1(X82) )
| ~ spl0_26
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f322,f358]) ).
fof(f2512,plain,
( ~ c0_1(a917)
| ~ spl0_26
| spl0_116
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f1089,f787]) ).
fof(f2513,plain,
( ~ spl0_121
| ~ spl0_26
| spl0_119
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f1091,f801,f796,f321,f806]) ).
fof(f2547,plain,
( c0_1(a917)
| ~ spl0_56
| ~ spl0_117
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f2354,f787]) ).
fof(f2550,plain,
( spl0_128
| ~ spl0_16
| ~ spl0_31
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f2447,f854,f343,f280,f844]) ).
fof(f2553,plain,
( ~ spl0_155
| ~ spl0_26
| spl0_116
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f2512,f785,f780,f321,f1026]) ).
fof(f2560,plain,
( spl0_155
| ~ spl0_56
| ~ spl0_117
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f2547,f790,f785,f462,f1026]) ).
fof(f2563,plain,
( c3_1(a946)
| ~ spl0_55
| spl0_90
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f2037,f648]) ).
fof(f2587,plain,
( spl0_171
| spl0_89
| ~ spl0_47
| spl0_90 ),
inference(avatar_split_clause,[],[f1506,f641,f419,f636,f2134]) ).
fof(f2589,plain,
( spl0_89
| ~ spl0_55
| spl0_90
| spl0_91 ),
inference(avatar_split_clause,[],[f2563,f646,f641,f457,f636]) ).
fof(f2601,plain,
( spl0_131
| ~ spl0_133
| ~ spl0_31
| spl0_132 ),
inference(avatar_split_clause,[],[f2119,f865,f343,f870,f860]) ).
fof(f2646,plain,
( c3_1(a901)
| ~ spl0_34
| ~ spl0_51
| ~ spl0_55
| spl0_153 ),
inference(resolution,[],[f2112,f979]) ).
fof(f2651,plain,
( c3_1(a924)
| ~ spl0_34
| ~ spl0_51
| ~ spl0_55
| spl0_107 ),
inference(resolution,[],[f2112,f734]) ).
fof(f2654,plain,
( spl0_174
| ~ spl0_34
| ~ spl0_51
| ~ spl0_55
| spl0_107 ),
inference(avatar_split_clause,[],[f2651,f732,f457,f439,f357,f2257]) ).
fof(f2655,plain,
( $false
| ~ spl0_34
| ~ spl0_51
| ~ spl0_55
| spl0_152
| spl0_153 ),
inference(forward_subsumption_resolution,[],[f2646,f974]) ).
fof(f2656,plain,
( ~ spl0_34
| ~ spl0_51
| ~ spl0_55
| spl0_152
| spl0_153 ),
inference(avatar_contradiction_clause,[],[f2655]) ).
fof(f2664,plain,
( spl0_156
| ~ spl0_121
| ~ spl0_45
| spl0_119 ),
inference(avatar_split_clause,[],[f2298,f796,f408,f806,f1046]) ).
fof(f2673,plain,
( spl0_162
| ~ spl0_138
| ~ spl0_51
| spl0_137 ),
inference(avatar_split_clause,[],[f2324,f892,f439,f897,f1275]) ).
fof(f2674,plain,
( spl0_171
| spl0_91
| ~ spl0_60
| spl0_90 ),
inference(avatar_split_clause,[],[f2486,f641,f480,f646,f2134]) ).
fof(f2689,plain,
( ~ c0_1(a907)
| ~ spl0_26
| ~ spl0_34
| spl0_134 ),
inference(resolution,[],[f2510,f878]) ).
fof(f2702,plain,
( $false
| ~ spl0_26
| ~ spl0_34
| spl0_134
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f2689,f888]) ).
fof(f2703,plain,
( ~ spl0_26
| ~ spl0_34
| spl0_134
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f2702]) ).
fof(f2769,plain,
( ! [X35] :
( c1_1(X35)
| c3_1(X35) )
| ~ spl0_45
| ~ spl0_51
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f440,f2413]) ).
fof(f2776,plain,
( c3_1(a901)
| ~ spl0_45
| ~ spl0_51
| ~ spl0_60
| spl0_153 ),
inference(resolution,[],[f2769,f979]) ).
fof(f2784,plain,
( $false
| ~ spl0_45
| ~ spl0_51
| ~ spl0_60
| spl0_152
| spl0_153 ),
inference(forward_subsumption_resolution,[],[f2776,f974]) ).
fof(f2785,plain,
( ~ spl0_45
| ~ spl0_51
| ~ spl0_60
| spl0_152
| spl0_153 ),
inference(avatar_contradiction_clause,[],[f2784]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f228]) ).
cnf(s2,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f241]) ).
cnf(s4,plain,
( spl0_3
| spl0_9
| ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f262]) ).
cnf(s5,plain,
( ~ spl0_10
| spl0_12
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f274]) ).
cnf(s9,plain,
( spl0_1
| ~ spl0_10
| spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f310]) ).
cnf(s10,plain,
( spl0_1
| ~ spl0_10
| spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f315]) ).
cnf(s11,plain,
( spl0_7
| ~ spl0_10
| spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f323]) ).
cnf(s17,plain,
( ~ spl0_10
| spl0_19
| spl0_31
| spl0_33 ),
inference(sat_conversion,[],[f354]) ).
cnf(s18,plain,
( ~ spl0_10
| spl0_23
| spl0_31 ),
inference(sat_conversion,[],[f355]) ).
cnf(s23,plain,
( ~ spl0_10
| spl0_38
| spl0_39 ),
inference(sat_conversion,[],[f382]) ).
cnf(s24,plain,
( ~ spl0_10
| spl0_27
| spl0_33
| spl0_39 ),
inference(sat_conversion,[],[f383]) ).
cnf(s25,plain,
( spl0_1
| ~ spl0_10
| spl0_31
| spl0_39 ),
inference(sat_conversion,[],[f384]) ).
cnf(s26,plain,
( ~ spl0_10
| spl0_29
| spl0_36
| spl0_40 ),
inference(sat_conversion,[],[f388]) ).
cnf(s31,plain,
( ~ spl0_10
| spl0_42
| spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f410]) ).
cnf(s32,plain,
( spl0_3
| ~ spl0_10
| spl0_17
| spl0_45 ),
inference(sat_conversion,[],[f411]) ).
cnf(s33,plain,
( ~ spl0_10
| spl0_12
| spl0_33
| spl0_45 ),
inference(sat_conversion,[],[f412]) ).
cnf(s36,plain,
( spl0_9
| ~ spl0_10
| spl0_20
| spl0_47 ),
inference(sat_conversion,[],[f422]) ).
cnf(s37,plain,
( spl0_2
| ~ spl0_10
| spl0_25
| spl0_48 ),
inference(sat_conversion,[],[f426]) ).
cnf(s40,plain,
( spl0_5
| ~ spl0_10
| spl0_25
| spl0_49 ),
inference(sat_conversion,[],[f432]) ).
cnf(s41,plain,
( spl0_2
| ~ spl0_10
| spl0_49
| spl0_50 ),
inference(sat_conversion,[],[f437]) ).
cnf(s42,plain,
( ~ spl0_10
| spl0_23
| spl0_49
| spl0_51 ),
inference(sat_conversion,[],[f441]) ).
cnf(s44,plain,
( spl0_3
| ~ spl0_10
| spl0_38
| spl0_53 ),
inference(sat_conversion,[],[f450]) ).
cnf(s45,plain,
( spl0_7
| ~ spl0_10
| spl0_48
| spl0_53 ),
inference(sat_conversion,[],[f451]) ).
cnf(s47,plain,
( ~ spl0_10
| spl0_20
| spl0_22
| spl0_55 ),
inference(sat_conversion,[],[f459]) ).
cnf(s48,plain,
( ~ spl0_10
| spl0_30
| spl0_45
| spl0_55 ),
inference(sat_conversion,[],[f460]) ).
cnf(s49,plain,
( ~ spl0_10
| spl0_15
| spl0_55
| spl0_56 ),
inference(sat_conversion,[],[f464]) ).
cnf(s50,plain,
( ~ spl0_10
| spl0_25
| spl0_35
| spl0_57 ),
inference(sat_conversion,[],[f468]) ).
cnf(s51,plain,
( spl0_7
| ~ spl0_10
| spl0_11
| spl0_57 ),
inference(sat_conversion,[],[f469]) ).
cnf(s53,plain,
( ~ spl0_10
| spl0_34
| spl0_49
| spl0_59 ),
inference(sat_conversion,[],[f477]) ).
cnf(s54,plain,
( ~ spl0_10
| spl0_34
| spl0_55
| spl0_59 ),
inference(sat_conversion,[],[f478]) ).
cnf(s56,plain,
( ~ spl0_10
| spl0_16
| spl0_19
| spl0_60 ),
inference(sat_conversion,[],[f483]) ).
cnf(s59,plain,
( ~ spl0_10
| spl0_41
| spl0_53
| spl0_60 ),
inference(sat_conversion,[],[f486]) ).
cnf(s69,plain,
( ~ spl0_38
| spl0_68 ),
inference(sat_conversion,[],[f527]) ).
cnf(s70,plain,
( ~ spl0_38
| spl0_69 ),
inference(sat_conversion,[],[f532]) ).
cnf(s71,plain,
( ~ spl0_38
| spl0_70 ),
inference(sat_conversion,[],[f537]) ).
cnf(s73,plain,
( ~ spl0_20
| spl0_71 ),
inference(sat_conversion,[],[f543]) ).
cnf(s74,plain,
( ~ spl0_20
| spl0_72 ),
inference(sat_conversion,[],[f548]) ).
cnf(s75,plain,
( ~ spl0_20
| spl0_73 ),
inference(sat_conversion,[],[f553]) ).
cnf(s81,plain,
( ~ spl0_24
| ~ spl0_77 ),
inference(sat_conversion,[],[f575]) ).
cnf(s82,plain,
( ~ spl0_24
| spl0_78 ),
inference(sat_conversion,[],[f580]) ).
cnf(s83,plain,
( ~ spl0_24
| spl0_79 ),
inference(sat_conversion,[],[f585]) ).
cnf(s89,plain,
( ~ spl0_13
| ~ spl0_83 ),
inference(sat_conversion,[],[f607]) ).
cnf(s90,plain,
( ~ spl0_13
| spl0_84 ),
inference(sat_conversion,[],[f612]) ).
cnf(s91,plain,
( ~ spl0_13
| spl0_85 ),
inference(sat_conversion,[],[f617]) ).
cnf(s97,plain,
( ~ spl0_1
| ~ spl0_89 ),
inference(sat_conversion,[],[f639]) ).
cnf(s98,plain,
( ~ spl0_1
| ~ spl0_90 ),
inference(sat_conversion,[],[f644]) ).
cnf(s99,plain,
( ~ spl0_1
| ~ spl0_91 ),
inference(sat_conversion,[],[f649]) ).
cnf(s100,plain,
( ~ spl0_1
| spl0_10 ),
inference(sat_conversion,[],[f650]) ).
cnf(s101,plain,
( ~ spl0_6
| ~ spl0_92 ),
inference(sat_conversion,[],[f655]) ).
cnf(s103,plain,
( ~ spl0_6
| spl0_94 ),
inference(sat_conversion,[],[f665]) ).
cnf(s105,plain,
( ~ spl0_44
| ~ spl0_95 ),
inference(sat_conversion,[],[f671]) ).
cnf(s106,plain,
( ~ spl0_44
| spl0_96 ),
inference(sat_conversion,[],[f676]) ).
cnf(s107,plain,
( ~ spl0_44
| spl0_97 ),
inference(sat_conversion,[],[f681]) ).
cnf(s109,plain,
( ~ spl0_42
| ~ spl0_98 ),
inference(sat_conversion,[],[f687]) ).
cnf(s111,plain,
( ~ spl0_42
| spl0_100 ),
inference(sat_conversion,[],[f697]) ).
cnf(s113,plain,
( ~ spl0_17
| ~ spl0_101 ),
inference(sat_conversion,[],[f703]) ).
cnf(s114,plain,
( ~ spl0_17
| ~ spl0_102 ),
inference(sat_conversion,[],[f708]) ).
cnf(s115,plain,
( ~ spl0_17
| ~ spl0_103 ),
inference(sat_conversion,[],[f713]) ).
cnf(s121,plain,
( ~ spl0_12
| ~ spl0_107 ),
inference(sat_conversion,[],[f735]) ).
cnf(s122,plain,
( ~ spl0_12
| ~ spl0_108 ),
inference(sat_conversion,[],[f740]) ).
cnf(s123,plain,
( ~ spl0_12
| spl0_109 ),
inference(sat_conversion,[],[f745]) ).
cnf(s125,plain,
( ~ spl0_5
| ~ spl0_110 ),
inference(sat_conversion,[],[f751]) ).
cnf(s126,plain,
( ~ spl0_5
| ~ spl0_111 ),
inference(sat_conversion,[],[f756]) ).
cnf(s127,plain,
( ~ spl0_5
| spl0_112 ),
inference(sat_conversion,[],[f761]) ).
cnf(s129,plain,
( ~ spl0_2
| ~ spl0_113 ),
inference(sat_conversion,[],[f767]) ).
cnf(s130,plain,
( ~ spl0_2
| ~ spl0_114 ),
inference(sat_conversion,[],[f772]) ).
cnf(s131,plain,
( ~ spl0_2
| spl0_115 ),
inference(sat_conversion,[],[f777]) ).
cnf(s132,plain,
( ~ spl0_2
| spl0_10 ),
inference(sat_conversion,[],[f778]) ).
cnf(s133,plain,
( ~ spl0_3
| ~ spl0_116 ),
inference(sat_conversion,[],[f783]) ).
cnf(s134,plain,
( ~ spl0_3
| spl0_117 ),
inference(sat_conversion,[],[f788]) ).
cnf(s135,plain,
( ~ spl0_3
| spl0_118 ),
inference(sat_conversion,[],[f793]) ).
cnf(s136,plain,
( ~ spl0_3
| spl0_10 ),
inference(sat_conversion,[],[f794]) ).
cnf(s137,plain,
( ~ spl0_9
| ~ spl0_119 ),
inference(sat_conversion,[],[f799]) ).
cnf(s138,plain,
( ~ spl0_9
| spl0_120 ),
inference(sat_conversion,[],[f804]) ).
cnf(s139,plain,
( ~ spl0_9
| spl0_121 ),
inference(sat_conversion,[],[f809]) ).
cnf(s141,plain,
( ~ spl0_22
| ~ spl0_122 ),
inference(sat_conversion,[],[f815]) ).
cnf(s142,plain,
( ~ spl0_22
| spl0_123 ),
inference(sat_conversion,[],[f820]) ).
cnf(s143,plain,
( ~ spl0_22
| spl0_124 ),
inference(sat_conversion,[],[f825]) ).
cnf(s145,plain,
( ~ spl0_30
| ~ spl0_125 ),
inference(sat_conversion,[],[f831]) ).
cnf(s146,plain,
( ~ spl0_30
| ~ spl0_126 ),
inference(sat_conversion,[],[f836]) ).
cnf(s147,plain,
( ~ spl0_30
| spl0_127 ),
inference(sat_conversion,[],[f841]) ).
cnf(s149,plain,
( ~ spl0_15
| ~ spl0_128 ),
inference(sat_conversion,[],[f847]) ).
cnf(s150,plain,
( ~ spl0_15
| ~ spl0_129 ),
inference(sat_conversion,[],[f852]) ).
cnf(s151,plain,
( ~ spl0_15
| spl0_130 ),
inference(sat_conversion,[],[f857]) ).
cnf(s153,plain,
( ~ spl0_25
| ~ spl0_131 ),
inference(sat_conversion,[],[f863]) ).
cnf(s154,plain,
( ~ spl0_25
| ~ spl0_132 ),
inference(sat_conversion,[],[f868]) ).
cnf(s155,plain,
( ~ spl0_25
| spl0_133 ),
inference(sat_conversion,[],[f873]) ).
cnf(s157,plain,
( ~ spl0_35
| ~ spl0_134 ),
inference(sat_conversion,[],[f879]) ).
cnf(s158,plain,
( ~ spl0_35
| spl0_135 ),
inference(sat_conversion,[],[f884]) ).
cnf(s159,plain,
( ~ spl0_35
| spl0_136 ),
inference(sat_conversion,[],[f889]) ).
cnf(s161,plain,
( ~ spl0_7
| ~ spl0_137 ),
inference(sat_conversion,[],[f895]) ).
cnf(s162,plain,
( ~ spl0_7
| spl0_138 ),
inference(sat_conversion,[],[f900]) ).
cnf(s163,plain,
( ~ spl0_7
| spl0_139 ),
inference(sat_conversion,[],[f905]) ).
cnf(s166,plain,
( ~ spl0_4
| ~ spl0_141 ),
inference(sat_conversion,[],[f916]) ).
cnf(s167,plain,
( ~ spl0_4
| spl0_142 ),
inference(sat_conversion,[],[f921]) ).
cnf(s169,plain,
( ~ spl0_50
| ~ spl0_143 ),
inference(sat_conversion,[],[f927]) ).
cnf(s170,plain,
( ~ spl0_50
| ~ spl0_144 ),
inference(sat_conversion,[],[f932]) ).
cnf(s171,plain,
( ~ spl0_50
| spl0_145 ),
inference(sat_conversion,[],[f937]) ).
cnf(s177,plain,
( ~ spl0_27
| ~ spl0_149 ),
inference(sat_conversion,[],[f959]) ).
cnf(s178,plain,
( ~ spl0_27
| spl0_150 ),
inference(sat_conversion,[],[f964]) ).
cnf(s179,plain,
( ~ spl0_27
| spl0_151 ),
inference(sat_conversion,[],[f969]) ).
cnf(s181,plain,
( ~ spl0_36
| ~ spl0_152 ),
inference(sat_conversion,[],[f975]) ).
cnf(s182,plain,
( ~ spl0_36
| ~ spl0_153 ),
inference(sat_conversion,[],[f980]) ).
cnf(s183,plain,
( ~ spl0_36
| ~ spl0_154 ),
inference(sat_conversion,[],[f985]) ).
cnf(s191,plain,
( ~ spl0_11
| ~ spl0_71
| ~ spl0_72
| ~ spl0_73 ),
inference(sat_conversion,[],[f1020]) ).
cnf(s192,plain,
( ~ spl0_11
| ~ spl0_23
| ~ spl0_71
| ~ spl0_73 ),
inference(sat_conversion,[],[f1022]) ).
cnf(s198,plain,
( ~ spl0_23
| spl0_116
| ~ spl0_117
| ~ spl0_118 ),
inference(sat_conversion,[],[f1041]) ).
cnf(s201,plain,
( ~ spl0_23
| spl0_119
| ~ spl0_120
| ~ spl0_156 ),
inference(sat_conversion,[],[f1051]) ).
cnf(s213,plain,
( ~ spl0_39
| ~ spl0_120
| ~ spl0_121
| spl0_156 ),
inference(sat_conversion,[],[f1129]) ).
cnf(s221,plain,
( ~ spl0_23
| ~ spl0_31
| spl0_98
| ~ spl0_100 ),
inference(sat_conversion,[],[f1180]) ).
cnf(s226,plain,
( ~ spl0_23
| ~ spl0_31
| ~ spl0_45
| spl0_119
| ~ spl0_121 ),
inference(sat_conversion,[],[f1194]) ).
cnf(s230,plain,
( ~ spl0_11
| ~ spl0_23
| ~ spl0_68
| ~ spl0_69 ),
inference(sat_conversion,[],[f1216]) ).
cnf(s233,plain,
( ~ spl0_39
| spl0_77
| ~ spl0_78
| ~ spl0_79 ),
inference(sat_conversion,[],[f1222]) ).
cnf(s255,plain,
( ~ spl0_41
| spl0_137
| ~ spl0_139
| spl0_162 ),
inference(sat_conversion,[],[f1283]) ).
cnf(s293,plain,
( ~ spl0_40
| spl0_149
| ~ spl0_150
| ~ spl0_151 ),
inference(sat_conversion,[],[f1412]) ).
cnf(s298,plain,
( ~ spl0_11
| ~ spl0_23
| spl0_49
| ~ spl0_53 ),
inference(sat_conversion,[],[f1469]) ).
cnf(s308,plain,
( ~ spl0_53
| spl0_113
| spl0_114
| ~ spl0_115 ),
inference(sat_conversion,[],[f1497]) ).
cnf(s342,plain,
( ~ spl0_47
| spl0_101
| spl0_102
| spl0_103 ),
inference(sat_conversion,[],[f1602]) ).
cnf(s351,plain,
( ~ spl0_48
| ~ spl0_53
| ~ spl0_72
| spl0_159 ),
inference(sat_conversion,[],[f1629]) ).
cnf(s361,plain,
( ~ spl0_48
| ~ spl0_53
| spl0_108
| ~ spl0_109 ),
inference(sat_conversion,[],[f1644]) ).
cnf(s364,plain,
( ~ spl0_19
| ~ spl0_53
| spl0_125
| ~ spl0_127 ),
inference(sat_conversion,[],[f1668]) ).
cnf(s377,plain,
( ~ spl0_33
| ~ spl0_68
| ~ spl0_69
| ~ spl0_70 ),
inference(sat_conversion,[],[f1718]) ).
cnf(s381,plain,
( ~ spl0_19
| spl0_137
| ~ spl0_138
| ~ spl0_139 ),
inference(sat_conversion,[],[f1735]) ).
cnf(s382,plain,
( ~ spl0_19
| ~ spl0_34
| spl0_92
| ~ spl0_94 ),
inference(sat_conversion,[],[f1749]) ).
cnf(s391,plain,
( ~ spl0_23
| ~ spl0_48
| spl0_56 ),
inference(sat_conversion,[],[f1789]) ).
cnf(s395,plain,
( ~ spl0_48
| spl0_95
| ~ spl0_96
| ~ spl0_97 ),
inference(sat_conversion,[],[f1796]) ).
cnf(s406,plain,
( ~ spl0_56
| spl0_83
| ~ spl0_84
| ~ spl0_85 ),
inference(sat_conversion,[],[f1852]) ).
cnf(s413,plain,
( ~ spl0_56
| ~ spl0_57
| spl0_141
| ~ spl0_142 ),
inference(sat_conversion,[],[f1891]) ).
cnf(s415,plain,
( ~ spl0_29
| spl0_134
| ~ spl0_135
| ~ spl0_136 ),
inference(sat_conversion,[],[f1918]) ).
cnf(s442,plain,
( ~ spl0_23
| ~ spl0_31
| spl0_134
| ~ spl0_135 ),
inference(sat_conversion,[],[f2018]) ).
cnf(s444,plain,
( ~ spl0_23
| ~ spl0_31
| ~ spl0_49
| ~ spl0_57
| spl0_95
| ~ spl0_96 ),
inference(sat_conversion,[],[f2050]) ).
cnf(s448,plain,
( ~ spl0_57
| spl0_110
| spl0_111
| ~ spl0_112 ),
inference(sat_conversion,[],[f2074]) ).
cnf(s457,plain,
( ~ spl0_49
| spl0_122
| ~ spl0_123
| ~ spl0_124 ),
inference(sat_conversion,[],[f2111]) ).
cnf(s461,plain,
( ~ spl0_31
| spl0_89
| spl0_90
| ~ spl0_171 ),
inference(sat_conversion,[],[f2137]) ).
cnf(s466,plain,
( ~ spl0_31
| ~ spl0_49
| spl0_128
| spl0_129
| ~ spl0_130 ),
inference(sat_conversion,[],[f2174]) ).
cnf(s477,plain,
( ~ spl0_45
| spl0_143
| spl0_144
| ~ spl0_145 ),
inference(sat_conversion,[],[f2227]) ).
cnf(s494,plain,
( ~ spl0_14
| ~ spl0_71
| ~ spl0_72
| ~ spl0_159 ),
inference(sat_conversion,[],[f2264]) ).
cnf(s506,plain,
( ~ spl0_48
| spl0_108
| ~ spl0_109
| ~ spl0_174 ),
inference(sat_conversion,[],[f2282]) ).
cnf(s518,plain,
( ~ spl0_51
| spl0_125
| spl0_126
| ~ spl0_127 ),
inference(sat_conversion,[],[f2349]) ).
cnf(s524,plain,
( ~ spl0_59
| spl0_107
| spl0_108
| spl0_174 ),
inference(sat_conversion,[],[f2389]) ).
cnf(s527,plain,
( ~ spl0_59
| spl0_152
| spl0_153
| spl0_154 ),
inference(sat_conversion,[],[f2395]) ).
cnf(s540,plain,
( ~ spl0_16
| ~ spl0_31
| spl0_137
| ~ spl0_162 ),
inference(sat_conversion,[],[f2462]) ).
cnf(s558,plain,
( ~ spl0_26
| spl0_119
| ~ spl0_120
| ~ spl0_121 ),
inference(sat_conversion,[],[f2513]) ).
cnf(s578,plain,
( ~ spl0_16
| ~ spl0_31
| spl0_128
| ~ spl0_130 ),
inference(sat_conversion,[],[f2550]) ).
cnf(s584,plain,
( ~ spl0_26
| spl0_116
| ~ spl0_117
| ~ spl0_155 ),
inference(sat_conversion,[],[f2553]) ).
cnf(s596,plain,
( ~ spl0_56
| ~ spl0_117
| ~ spl0_118
| spl0_155 ),
inference(sat_conversion,[],[f2560]) ).
cnf(s612,plain,
( ~ spl0_47
| spl0_89
| spl0_90
| spl0_171 ),
inference(sat_conversion,[],[f2587]) ).
cnf(s613,plain,
( ~ spl0_55
| spl0_89
| spl0_90
| spl0_91 ),
inference(sat_conversion,[],[f2589]) ).
cnf(s628,plain,
( ~ spl0_31
| spl0_131
| spl0_132
| ~ spl0_133 ),
inference(sat_conversion,[],[f2601]) ).
cnf(s649,plain,
( ~ spl0_34
| ~ spl0_51
| ~ spl0_55
| spl0_107
| spl0_174 ),
inference(sat_conversion,[],[f2654]) ).
cnf(s650,plain,
( ~ spl0_34
| ~ spl0_51
| ~ spl0_55
| spl0_152
| spl0_153 ),
inference(sat_conversion,[],[f2656]) ).
cnf(s656,plain,
( ~ spl0_45
| spl0_119
| ~ spl0_121
| spl0_156 ),
inference(sat_conversion,[],[f2664]) ).
cnf(s669,plain,
( ~ spl0_51
| spl0_137
| ~ spl0_138
| spl0_162 ),
inference(sat_conversion,[],[f2673]) ).
cnf(s670,plain,
( ~ spl0_60
| spl0_90
| spl0_91
| spl0_171 ),
inference(sat_conversion,[],[f2674]) ).
cnf(s687,plain,
( ~ spl0_26
| ~ spl0_34
| spl0_134
| ~ spl0_136 ),
inference(sat_conversion,[],[f2703]) ).
cnf(s701,plain,
( ~ spl0_45
| ~ spl0_51
| ~ spl0_60
| spl0_152
| spl0_153 ),
inference(sat_conversion,[],[f2785]) ).
cnf(s702,plain,
( ~ spl0_25
| ~ spl0_31 ),
inference(rat,[],[s628,s153,s154,s155]) ).
cnf(s703,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s518,s145,s146,s147,s48,s649,s53,s524,s506,s37,s702,s121,s122,s123,s33,s477,s377,s169,s170,s171,s69,s70,s71,s42,s41,s23,s457,s233,s141,s142,s143,s81,s82,s83,s9,s10,s18,s198,s133,s134,s135,s136,s1]) ).
cnf(s704,plain,
( spl0_23
| spl0_1 ),
inference(rat,[],[s518,s145,s146,s147,s48,s701,s56,s540,s381,s669,s161,s162,s163,s11,s650,s687,s53,s527,s181,s182,s183,s26,s415,s293,s157,s158,s159,s177,s178,s179,s50,s24,s448,s377,s125,s126,s127,s69,s70,s71,s40,s42,s23,s457,s233,s141,s142,s143,s81,s82,s83,s702,s9,s10,s18,s132,s703]) ).
cnf(s705,plain,
( ~ spl0_3
| ~ spl0_23 ),
inference(rat,[],[s198,s133,s134,s135]) ).
cnf(s706,plain,
( ~ spl0_35
| spl0_1 ),
inference(rat,[],[s442,s157,s158,s25,s213,s201,s137,s139,s138,s4,s230,s69,s70,s44,s308,s129,s130,s131,s705,s704,s132,s703]) ).
cnf(s707,plain,
( ~ spl0_5
| ~ spl0_57 ),
inference(rat,[],[s448,s125,s126,s127]) ).
cnf(s709,plain,
( ~ spl0_44
| ~ spl0_48 ),
inference(rat,[],[s395,s105,s106,s107]) ).
cnf(s710,plain,
( ~ spl0_42
| spl0_1 ),
inference(rat,[],[s221,s109,s111,s25,s213,s201,s137,s139,s138,s4,s230,s69,s70,s44,s308,s129,s130,s131,s705,s704,s132,s703]) ).
cnf(s711,plain,
spl0_1,
inference(rat,[],[s444,s105,s106,s31,s710,s40,s707,s50,s706,s702,s25,s656,s213,s201,s137,s138,s139,s4,s230,s69,s70,s44,s705,s704,s308,s129,s130,s131,s132,s703]) ).
cnf(s712,plain,
spl0_10,
inference(rat,[],[s100,s711]) ).
cnf(s713,plain,
~ spl0_91,
inference(rat,[],[s99,s711]) ).
cnf(s714,plain,
~ spl0_90,
inference(rat,[],[s98,s711]) ).
cnf(s715,plain,
~ spl0_89,
inference(rat,[],[s97,s711]) ).
cnf(s716,plain,
~ spl0_55,
inference(rat,[],[s613,s713,s714,s715]) ).
cnf(s717,plain,
( ~ spl0_7
| ~ spl0_41
| ~ spl0_31 ),
inference(rat,[],[s540,s56,s255,s381,s161,s162,s163,s670,s461,s712,s714,s713,s715]) ).
cnf(s718,plain,
( ~ spl0_9
| ~ spl0_26 ),
inference(rat,[],[s558,s137,s138,s139]) ).
cnf(s719,plain,
( spl0_7
| ~ spl0_31 ),
inference(rat,[],[s466,s149,s150,s151,s49,s596,s40,s584,s707,s133,s134,s135,s51,s4,s191,s73,s74,s75,s36,s718,s11,s702,s612,s461,s712,s716,s715,s714]) ).
cnf(s720,plain,
( ~ spl0_2
| ~ spl0_53 ),
inference(rat,[],[s308,s129,s130,s131]) ).
cnf(s721,plain,
( ~ spl0_42
| ~ spl0_23
| ~ spl0_31 ),
inference(rat,[],[s221,s109,s111]) ).
cnf(s722,plain,
( spl0_9
| ~ spl0_23
| spl0_47 ),
inference(rat,[],[s192,s73,s75,s4,s36,s705,s712]) ).
cnf(s723,plain,
( ~ spl0_23
| ~ spl0_31 ),
inference(rat,[],[s226,s137,s139,s722,s31,s721,s612,s709,s37,s720,s59,s717,s719,s670,s461,s702,s712,s714,s713,s715]) ).
cnf(s724,plain,
( ~ spl0_15
| ~ spl0_31 ),
inference(rat,[],[s578,s149,s151,s56,s381,s161,s162,s163,s719,s670,s461,s714,s713,s715,s712]) ).
cnf(s726,plain,
( ~ spl0_12
| ~ spl0_31 ),
inference(rat,[],[s361,s122,s123,s37,s720,s59,s717,s719,s670,s461,s702,s712,s714,s713,s715]) ).
cnf(s727,plain,
( ~ spl0_13
| ~ spl0_56 ),
inference(rat,[],[s406,s89,s90,s91]) ).
cnf(s729,plain,
( ~ spl0_22
| ~ spl0_49 ),
inference(rat,[],[s457,s141,s142,s143]) ).
cnf(s730,plain,
~ spl0_31,
inference(rat,[],[s494,s351,s73,s74,s47,s729,s5,s727,s726,s49,s724,s42,s723,s37,s720,s669,s540,s56,s59,s381,s717,s161,s162,s163,s719,s670,s461,s702,s716,s712,s713,s714,s715]) ).
cnf(s731,plain,
spl0_23,
inference(rat,[],[s18,s712,s730]) ).
cnf(s732,plain,
~ spl0_3,
inference(rat,[],[s705,s731]) ).
cnf(s733,plain,
( ~ spl0_7
| ~ spl0_19 ),
inference(rat,[],[s381,s161,s162,s163]) ).
cnf(s734,plain,
( ~ spl0_6
| ~ spl0_34
| ~ spl0_19 ),
inference(rat,[],[s382,s101,s103]) ).
cnf(s735,plain,
( ~ spl0_48
| spl0_45 ),
inference(rat,[],[s413,s166,s167,s2,s734,s54,s524,s506,s391,s123,s122,s121,s33,s707,s51,s733,s17,s377,s71,s230,s69,s70,s23,s213,s201,s137,s139,s138,s722,s342,s113,s114,s115,s32,s712,s716,s731,s732,s730]) ).
cnf(s736,plain,
spl0_45,
inference(rat,[],[s45,s735,s733,s364,s17,s377,s69,s70,s71,s23,s213,s201,s137,s138,s139,s722,s342,s113,s114,s115,s145,s147,s32,s48,s712,s730,s731,s732,s716]) ).
cnf(s739,plain,
( ~ spl0_53
| ~ spl0_11 ),
inference(rat,[],[s192,s73,s75,s47,s729,s298,s712,s716,s731]) ).
cnf(s741,plain,
~ spl0_11,
inference(rat,[],[s230,s69,s70,s44,s739,s731,s732,s712]) ).
cnf(s742,plain,
spl0_9,
inference(rat,[],[s4,s712,s732,s741]) ).
cnf(s744,plain,
spl0_121,
inference(rat,[],[s139,s742]) ).
cnf(s745,plain,
spl0_120,
inference(rat,[],[s138,s742]) ).
cnf(s746,plain,
~ spl0_119,
inference(rat,[],[s137,s742]) ).
cnf(s752,plain,
spl0_156,
inference(rat,[],[s656,s746,s736,s744]) ).
cnf(s754,plain,
$false,
inference(rat,[],[s201,s746,s731,s745,s752]) ).
fof(f2786,plain,
$false,
inference(avatar_sat_refutation,[],[s754]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN455+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n017.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 16:00:21 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.26 Running first-order theorem proving
% 0.08/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/1.01 % (3673004)Detected formulas, will run a generic FOF schedule.
% 0.69/1.01 % (3673024)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1565111584:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.69/1.01 % (3673024)First to succeed.
% 0.69/1.01 % (3673024)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3673004"
% 0.69/1.01 % (3673025)dis-21_1_sil=8000:lcm=predicate:random_seed=669941840:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.69/1.01 % (3673022)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2963902714:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.69/1.01 % (3673019)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3946495228:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.69/1.01 % (3673023)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1627930688:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.69/1.01 % (3673020)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1292541832:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.69/1.01 % (3673021)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3776498592:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.69/1.01 % (3673025)Also succeeded, but the first one will report.
% 0.69/1.01 % (3673022)Also succeeded, but the first one will report.
% 0.69/1.01 % (3673023)Instruction limit reached!
% 0.69/1.01 % (3673023)------------------------------
% 0.69/1.01 % (3673023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.69/1.01 % (3673023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/1.01 % (3673023)CaDiCaL version: 2.1.3
% 0.69/1.01 % (3673023)Termination reason: Instruction limit
% 0.69/1.01 % (3673023)Termination phase: Saturation
% 0.69/1.01 % (3673023)Time elapsed: 0.058 s
% 0.69/1.01 % (3673023)Peak memory usage: 88 MB
% 0.69/1.01 % (3673023)Instructions burned: 120 (million)
% 0.69/1.01 % (3673024)Refutation found. Thanks to Tanya!
% 0.69/1.01 % SZS status Theorem for theBenchmark
% 0.69/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/1.21 % (3673024)------------------------------
% 0.22/1.21 % (3673024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/1.21 % (3673024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/1.21 % (3673024)CaDiCaL version: 2.1.3
% 0.22/1.21 % (3673024)Termination reason: Refutation
% 0.22/1.21 % (3673024)Time elapsed: 0.025 s
% 0.22/1.21 % (3673024)Peak memory usage: 91 MB
% 0.22/1.21 % (3673024)Instructions burned: 69 (million)
% 0.22/1.21 % (3673024)------------------------------
% 0.22/1.21 % (3673024)------------------------------
% 0.22/1.21 % (3673004)Success in time 0.293 s
% 0.22/1.21 % Vampire exiting
%------------------------------------------------------------------------------