TSTP Solution File: SWV998_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV998_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 11:13:05 EDT 2024
% Result : Theorem 0.20s 0.45s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 12 unt; 7 typ; 0 def)
% Number of atoms : 5266 (4335 equ)
% Maximal formula atoms : 740 ( 169 avg)
% Number of connectives : 7983 (2748 ~;1353 |;3877 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 96 ( 24 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 5359 ( 926 atm; 0 fun;2768 num;1665 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 18 ( 7 usr; 16 con; 0-1 aty)
% Number of variables : 1665 (1665 !; 0 ?;1665 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
z1: $int ).
tff(func_def_1,type,
z2: $int ).
tff(func_def_2,type,
z3: $int ).
tff(func_def_3,type,
z4: $int ).
tff(func_def_4,type,
z5: $int ).
tff(func_def_5,type,
a: $int > $int ).
tff(func_def_6,type,
b: $int > $int ).
tff(f349,plain,
$false,
inference(subsumption_resolution,[],[f348,f24]) ).
tff(f24,plain,
z1 != z2,
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( $less(z2,z1)
& ( 2 = b(z4) )
& ( 5 = b(z3) )
& $less(b(z2),3)
& ( 5 = b(z1) )
& ( 7 = a(z4) )
& ( 10 = a(z2) )
& ( 5 = a(z1) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
( ~ $less(X1,X0)
| ( 2 != b(X3) )
| ( 5 != b(X2) )
| ~ $less(b(X1),3)
| ( 10 != a(X1) )
| ( a(X0) != 4 )
| ( X2 = X3 )
| ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X3 )
| ( X0 = X2 )
| ( X0 = X1 ) )
& ! [X4: $int,X5: $int,X6: $int,X7: $int] :
( ~ $less(X5,X4)
| ( 5 != b(X6) )
| ~ $less(b(X5),3)
| ( 2 != a(X7) )
| ( 10 != a(X5) )
| ( 5 != a(X4) )
| ( X6 = X7 )
| ( X5 = X7 )
| ( X5 = X6 )
| ( X4 = X7 )
| ( X4 = X6 )
| ( X4 = X5 ) )
& ! [X8: $int,X9: $int,X10: $int] :
( ~ $less(X9,X8)
| ( 2 != b(X9) )
| ( 5 != b(X8) )
| ( 4 != a(X10) )
| ( 10 != a(X9) )
| ( 12 != a(X8) )
| ( X9 = X10 )
| ( X8 = X10 )
| ( X8 = X9 ) )
& ! [X11: $int,X12: $int,X13: $int] :
( ~ $less(X12,X11)
| ( 2 != b(X12) )
| ( 5 != b(X11) )
| ( 5 != a(X13) )
| ( 10 != a(X12) )
| ( 12 != a(X11) )
| ( X12 = X13 )
| ( X11 = X13 )
| ( X11 = X12 ) )
& ! [X14: $int,X15: $int,X16: $int] :
( ~ $less(X15,X14)
| ( 2 != b(X15) )
| ( 5 != b(X14) )
| ( 4 != a(X16) )
| ( 10 != a(X15) )
| ( 1 != a(X14) )
| ( X15 = X16 )
| ( X14 = X16 )
| ( X14 = X15 ) )
& ! [X17: $int,X18: $int,X19: $int] :
( ~ $less(X18,X17)
| ( 2 != b(X18) )
| ( 5 != b(X17) )
| ( 4 != a(X19) )
| ( 10 != a(X18) )
| ( 2 != a(X17) )
| ( X18 = X19 )
| ( X17 = X19 )
| ( X17 = X18 ) )
& ! [X20: $int,X21: $int,X22: $int] :
( ~ $less(X21,X20)
| ( 2 != b(X21) )
| ( 5 != b(X20) )
| ( 6 != a(X22) )
| ( 10 != a(X21) )
| ( 12 != a(X20) )
| ( X21 = X22 )
| ( X20 = X22 )
| ( X20 = X21 ) )
& ! [X23: $int,X24: $int,X25: $int] :
( ~ $less(X24,X23)
| ( 2 != b(X24) )
| ( 5 != b(X23) )
| ( 5 != a(X25) )
| ( 10 != a(X24) )
| ( 1 != a(X23) )
| ( X24 = X25 )
| ( X23 = X25 )
| ( X23 = X24 ) )
& ! [X26: $int,X27: $int,X28: $int,X29: $int] :
( ~ $less(X27,X26)
| ( 5 != b(X29) )
| ( 2 != b(X28) )
| ~ $less(b(X27),3)
| ( 7 != a(X28) )
| ( 10 != a(X27) )
| ( 12 != a(X26) )
| ( X28 = X29 )
| ( X27 = X29 )
| ( X27 = X28 )
| ( X26 = X29 )
| ( X26 = X28 )
| ( X26 = X27 ) )
& ! [X30: $int,X31: $int,X32: $int] :
( ~ $less(X31,X30)
| ( 2 != b(X32) )
| ~ $less(b(X31),3)
| ( 5 != b(X30) )
| ( 7 != a(X32) )
| ( 10 != a(X31) )
| ( 12 != a(X30) )
| ( X31 = X32 )
| ( X30 = X32 )
| ( X30 = X31 ) )
& ! [X33: $int,X34: $int,X35: $int] :
( ~ $less(X34,X33)
| ( 2 != b(X34) )
| ( 5 != b(X33) )
| ( 5 != a(X35) )
| ( 10 != a(X34) )
| ( 2 != a(X33) )
| ( X34 = X35 )
| ( X33 = X35 )
| ( X33 = X34 ) )
& ! [X36: $int,X37: $int,X38: $int,X39: $int] :
( ~ $less(X37,X36)
| ( 5 != b(X39) )
| ~ $less(b(X38),4)
| ( 2 != b(X37) )
| ( 7 != a(X38) )
| ( 10 != a(X37) )
| ( 12 != a(X36) )
| ( X38 = X39 )
| ( X37 = X39 )
| ( X37 = X38 )
| ( X36 = X39 )
| ( X36 = X38 )
| ( X36 = X37 ) )
& ! [X40: $int,X41: $int,X42: $int] :
( ~ $less(X41,X40)
| ~ $less(b(X42),4)
| ( 2 != b(X41) )
| ( 5 != b(X40) )
| ( 7 != a(X42) )
| ( 10 != a(X41) )
| ( 12 != a(X40) )
| ( X41 = X42 )
| ( X40 = X42 )
| ( X40 = X41 ) )
& ! [X43: $int,X44: $int,X45: $int] :
( ~ $less(X44,X43)
| ( 2 != b(X44) )
| ( 5 != b(X43) )
| ( 6 != a(X45) )
| ( 10 != a(X44) )
| ( 1 != a(X43) )
| ( X44 = X45 )
| ( X43 = X45 )
| ( X43 = X44 ) )
& ! [X46: $int,X47: $int,X48: $int] :
( ~ $less(X47,X46)
| ( 2 != b(X48) )
| ~ $less(b(X47),3)
| ( 8 != a(X48) )
| ( 10 != a(X47) )
| ( 12 != a(X46) )
| ( X47 = X48 )
| ( X46 = X48 )
| ( X46 = X47 ) )
& ! [X49: $int,X50: $int,X51: $int,X52: $int] :
( ~ $less(X50,X49)
| ( 5 != b(X52) )
| ( 2 != b(X51) )
| ~ $less(b(X50),3)
| ( 7 != a(X51) )
| ( 10 != a(X50) )
| ( 1 != a(X49) )
| ( X51 = X52 )
| ( X50 = X52 )
| ( X50 = X51 )
| ( X49 = X52 )
| ( X49 = X51 )
| ( X49 = X50 ) )
& ! [X53: $int,X54: $int,X55: $int] :
( ~ $less(X54,X53)
| ( 2 != b(X55) )
| ~ $less(b(X54),3)
| ( 5 != b(X53) )
| ( 7 != a(X55) )
| ( 10 != a(X54) )
| ( 1 != a(X53) )
| ( X54 = X55 )
| ( X53 = X55 )
| ( X53 = X54 ) )
& ! [X56: $int,X57: $int,X58: $int] :
( ~ $less(X57,X56)
| ( 2 != b(X57) )
| ( 5 != b(X56) )
| ( 4 != a(X58) )
| ( 10 != a(X57) )
| ( 4 != a(X56) )
| ( X57 = X58 )
| ( X56 = X58 )
| ( X56 = X57 ) )
& ! [X59: $int,X60: $int,X61: $int] :
( ~ $less(X60,X59)
| ( 2 != b(X60) )
| ( 5 != b(X59) )
| ( 6 != a(X61) )
| ( 10 != a(X60) )
| ( 2 != a(X59) )
| ( X60 = X61 )
| ( X59 = X61 )
| ( X59 = X60 ) )
& ! [X62: $int,X63: $int,X64: $int] :
( ~ $less(X63,X62)
| ~ $less(b(X64),4)
| ( 2 != b(X63) )
| ( 8 != a(X64) )
| ( 10 != a(X63) )
| ( 12 != a(X62) )
| ( X63 = X64 )
| ( X62 = X64 )
| ( X62 = X63 ) )
& ! [X65: $int,X66: $int,X67: $int,X68: $int] :
( ~ $less(X66,X65)
| ( 5 != b(X68) )
| ~ $less(b(X67),4)
| ( 2 != b(X66) )
| ( 7 != a(X67) )
| ( 10 != a(X66) )
| ( 1 != a(X65) )
| ( X67 = X68 )
| ( X66 = X68 )
| ( X66 = X67 )
| ( X65 = X68 )
| ( X65 = X67 )
| ( X65 = X66 ) )
& ! [X69: $int,X70: $int,X71: $int] :
( ~ $less(X70,X69)
| ~ $less(b(X71),4)
| ( 2 != b(X70) )
| ( 5 != b(X69) )
| ( 7 != a(X71) )
| ( 10 != a(X70) )
| ( 1 != a(X69) )
| ( X70 = X71 )
| ( X69 = X71 )
| ( X69 = X70 ) )
& ! [X72: $int,X73: $int,X74: $int,X75: $int] :
( ~ $less(X73,X72)
| ( 5 != b(X75) )
| ( 2 != b(X74) )
| ~ $less(b(X73),3)
| ( 7 != a(X74) )
| ( 10 != a(X73) )
| ( 2 != a(X72) )
| ( X74 = X75 )
| ( X73 = X75 )
| ( X73 = X74 )
| ( X72 = X75 )
| ( X72 = X74 )
| ( X72 = X73 ) )
& ! [X76: $int,X77: $int,X78: $int] :
( ~ $less(X77,X76)
| ( 2 != b(X78) )
| ~ $less(b(X77),3)
| ( 5 != b(X76) )
| ( 7 != a(X78) )
| ( 10 != a(X77) )
| ( 2 != a(X76) )
| ( X77 = X78 )
| ( X76 = X78 )
| ( X76 = X77 ) )
& ! [X79: $int,X80: $int,X81: $int] :
( ~ $less(X80,X79)
| ( 2 != b(X81) )
| ~ $less(b(X80),3)
| ( 8 != a(X81) )
| ( 10 != a(X80) )
| ( 1 != a(X79) )
| ( X80 = X81 )
| ( X79 = X81 )
| ( X79 = X80 ) )
& ! [X82: $int,X83: $int,X84: $int] :
( ~ $less(X83,X82)
| ( 2 != b(X83) )
| ( 5 != b(X82) )
| ( 4 != a(X84) )
| ( 10 != a(X83) )
| ( 5 != a(X82) )
| ( X83 = X84 )
| ( X82 = X84 )
| ( X82 = X83 ) )
& ! [X85: $int,X86: $int,X87: $int] :
( ~ $less(X86,X85)
| ( 2 != b(X86) )
| ( 5 != b(X85) )
| ( 5 != a(X87) )
| ( 10 != a(X86) )
| ( 4 != a(X85) )
| ( X86 = X87 )
| ( X85 = X87 )
| ( X85 = X86 ) )
& ! [X88: $int,X89: $int,X90: $int,X91: $int] :
( ~ $less(X89,X88)
| ( 5 != b(X91) )
| ~ $less(b(X90),4)
| ( 2 != b(X89) )
| ( 7 != a(X90) )
| ( 10 != a(X89) )
| ( 2 != a(X88) )
| ( X90 = X91 )
| ( X89 = X91 )
| ( X89 = X90 )
| ( X88 = X91 )
| ( X88 = X90 )
| ( X88 = X89 ) )
& ! [X92: $int,X93: $int,X94: $int] :
( ~ $less(X93,X92)
| ~ $less(b(X94),4)
| ( 2 != b(X93) )
| ( 5 != b(X92) )
| ( 7 != a(X94) )
| ( 10 != a(X93) )
| ( 2 != a(X92) )
| ( X93 = X94 )
| ( X92 = X94 )
| ( X92 = X93 ) )
& ! [X95: $int,X96: $int,X97: $int] :
( ~ $less(X96,X95)
| ~ $less(b(X97),4)
| ( 2 != b(X96) )
| ( 8 != a(X97) )
| ( 10 != a(X96) )
| ( 1 != a(X95) )
| ( X96 = X97 )
| ( X95 = X97 )
| ( X95 = X96 ) )
& ! [X98: $int,X99: $int,X100: $int] :
( ~ $less(X99,X98)
| ( 2 != b(X99) )
| ( 5 != b(X98) )
| ( 4 != a(X100) )
| ( 10 != a(X99) )
| ( 6 != a(X98) )
| ( X99 = X100 )
| ( X98 = X100 )
| ( X98 = X99 ) )
& ! [X101: $int,X102: $int,X103: $int,X104: $int] :
( ~ $less(X102,X101)
| ( 2 != b(X104) )
| ( 2 != b(X103) )
| ~ $less(b(X102),3)
| ( 5 != b(X101) )
| ( 5 != a(X103) )
| ( 10 != a(X102) )
| ( 5 != a(X101) )
| ( X103 = X104 )
| ( X102 = X104 )
| ( X102 = X103 )
| ( X101 = X104 )
| ( X101 = X103 )
| ( X101 = X102 ) )
& ! [X105: $int,X106: $int,X107: $int,X108: $int] :
( ~ $less(X106,X105)
| ( 5 != b(X108) )
| ( 2 != b(X107) )
| ~ $less(b(X106),3)
| ~ $less(b(X105),4)
| ( 7 != a(X107) )
| ( 10 != a(X106) )
| ( 3 != a(X105) )
| ( X107 = X108 )
| ( X106 = X108 )
| ( X106 = X107 )
| ( X105 = X108 )
| ( X105 = X107 )
| ( X105 = X106 ) )
& ! [X109: $int,X110: $int,X111: $int] :
( ~ $less(X110,X109)
| ( 2 != b(X111) )
| ~ $less(b(X110),3)
| ( 8 != a(X111) )
| ( 10 != a(X110) )
| ( 2 != a(X109) )
| ( X110 = X111 )
| ( X109 = X111 )
| ( X109 = X110 ) )
& ! [X112: $int,X113: $int,X114: $int] :
( ~ $less(X113,X112)
| ( 2 != b(X113) )
| ( 5 != b(X112) )
| ( 5 != a(X114) )
| ( 10 != a(X113) )
| ( 5 != a(X112) )
| ( X113 = X114 )
| ( X112 = X114 )
| ( X112 = X113 ) )
& ! [X115: $int,X116: $int,X117: $int] :
( ~ $less(X116,X115)
| ( 2 != b(X116) )
| ( 5 != b(X115) )
| ( 6 != a(X117) )
| ( 10 != a(X116) )
| ( 4 != a(X115) )
| ( X116 = X117 )
| ( X115 = X117 )
| ( X115 = X116 ) )
& ! [X118: $int,X119: $int,X120: $int,X121: $int] :
( ~ $less(X119,X118)
| ( 5 != b(X121) )
| ~ $less(b(X120),4)
| ( 2 != b(X119) )
| ~ $less(b(X118),4)
| ( 7 != a(X120) )
| ( 10 != a(X119) )
| ( 3 != a(X118) )
| ( X120 = X121 )
| ( X119 = X121 )
| ( X119 = X120 )
| ( X118 = X121 )
| ( X118 = X120 )
| ( X118 = X119 ) )
& ! [X122: $int,X123: $int,X124: $int] :
( ~ $less(X123,X122)
| ~ $less(b(X124),4)
| ( 2 != b(X123) )
| ( 8 != a(X124) )
| ( 10 != a(X123) )
| ( 2 != a(X122) )
| ( X123 = X124 )
| ( X122 = X124 )
| ( X122 = X123 ) )
& ! [X125: $int,X126: $int,X127: $int] :
( ~ $less(X126,X125)
| ( 2 != b(X126) )
| ( 5 != b(X125) )
| ( 4 != a(X127) )
| ( 10 != a(X126) )
| ( 7 != a(X125) )
| ( X126 = X127 )
| ( X125 = X127 )
| ( X125 = X126 ) )
& ! [X128: $int,X129: $int,X130: $int,X131: $int] :
( ~ $less(X129,X128)
| ( 2 != b(X131) )
| ~ $less(b(X129),3)
| ( 5 != b(X128) )
| ( 5 != a(X130) )
| ( 10 != a(X129) )
| ( 6 != a(X128) )
| ( X130 = X131 )
| ( X129 = X131 )
| ( X129 = X130 )
| ( X128 = X131 )
| ( X128 = X130 )
| ( X128 = X129 ) )
& ! [X132: $int,X133: $int,X134: $int] :
( ~ $less(X133,X132)
| ( 2 != b(X133) )
| ( 5 != b(X132) )
| ( 5 != a(X134) )
| ( 10 != a(X133) )
| ( 6 != a(X132) )
| ( X133 = X134 )
| ( X132 = X134 )
| ( X132 = X133 ) )
& ! [X135: $int,X136: $int,X137: $int,X138: $int] :
( ~ $less(X136,X135)
| ( 2 != b(X138) )
| ~ $less(b(X136),3)
| ( 5 != b(X135) )
| ( 6 != a(X137) )
| ( 10 != a(X136) )
| ( 5 != a(X135) )
| ( X137 = X138 )
| ( X136 = X138 )
| ( X136 = X137 )
| ( X135 = X138 )
| ( X135 = X137 )
| ( X135 = X136 ) )
& ! [X139: $int,X140: $int,X141: $int] :
( ~ $less(X140,X139)
| ( 2 != b(X141) )
| ~ $less(b(X140),3)
| ( 5 != b(X139) )
| ( 6 != a(X141) )
| ( 10 != a(X140) )
| ( 5 != a(X139) )
| ( X140 = X141 )
| ( X139 = X141 )
| ( X139 = X140 ) )
& ! [X142: $int,X143: $int,X144: $int,X145: $int] :
( ~ $less(X143,X142)
| ( 5 != b(X145) )
| ( 2 != b(X144) )
| ~ $less(b(X143),3)
| ( 7 != a(X144) )
| ( 10 != a(X143) )
| ( 4 != a(X142) )
| ( X144 = X145 )
| ( X143 = X145 )
| ( X143 = X144 )
| ( X142 = X145 )
| ( X142 = X144 )
| ( X142 = X143 ) )
& ! [X146: $int,X147: $int,X148: $int] :
( ~ $less(X147,X146)
| ( 2 != b(X148) )
| ~ $less(b(X147),3)
| ( 5 != b(X146) )
| ( 7 != a(X148) )
| ( 10 != a(X147) )
| ( 4 != a(X146) )
| ( X147 = X148 )
| ( X146 = X148 )
| ( X146 = X147 ) )
& ! [X149: $int,X150: $int,X151: $int] :
( ~ $less(X150,X149)
| ( 2 != b(X151) )
| ~ $less(b(X150),3)
| ~ $less(b(X149),4)
| ( 8 != a(X151) )
| ( 10 != a(X150) )
| ( 3 != a(X149) )
| ( X150 = X151 )
| ( X149 = X151 )
| ( X149 = X150 ) )
& ! [X152: $int,X153: $int,X154: $int] :
( ~ $less(X153,X152)
| ( 2 != b(X153) )
| ( 5 != b(X152) )
| ( 6 != a(X154) )
| ( 10 != a(X153) )
| ( 5 != a(X152) )
| ( X153 = X154 )
| ( X152 = X154 )
| ( X152 = X153 ) )
& ! [X155: $int,X156: $int,X157: $int] :
( ~ $less(X156,X155)
| ( 2 != b(X156) )
| ( 5 != b(X155) )
| ( 7 != a(X157) )
| ( 10 != a(X156) )
| ( 4 != a(X155) )
| ( X156 = X157 )
| ( X155 = X157 )
| ( X155 = X156 ) )
& ! [X158: $int,X159: $int,X160: $int] :
( ~ $less(X159,X158)
| ~ $less(b(X160),4)
| ( 2 != b(X159) )
| ~ $less(b(X158),4)
| ( 8 != a(X160) )
| ( 10 != a(X159) )
| ( 3 != a(X158) )
| ( X159 = X160 )
| ( X158 = X160 )
| ( X158 = X159 ) )
& ! [X161: $int,X162: $int,X163: $int,X164: $int] :
( ~ $less(X162,X161)
| ( 2 != b(X164) )
| ~ $less(b(X162),3)
| ( 5 != b(X161) )
| ( 5 != a(X163) )
| ( 10 != a(X162) )
| ( 7 != a(X161) )
| ( X163 = X164 )
| ( X162 = X164 )
| ( X162 = X163 )
| ( X161 = X164 )
| ( X161 = X163 )
| ( X161 = X162 ) )
& ! [X165: $int,X166: $int,X167: $int] :
( ~ $less(X166,X165)
| ( 2 != b(X166) )
| ( 5 != b(X165) )
| ( 5 != a(X167) )
| ( 10 != a(X166) )
| ( 7 != a(X165) )
| ( X166 = X167 )
| ( X165 = X167 )
| ( X165 = X166 ) )
& ! [X168: $int,X169: $int,X170: $int] :
( ~ $less(X169,X168)
| ~ $less(b(X169),3)
| ( 5 != b(X168) )
| ( 6 != a(X170) )
| ( 10 != a(X169) )
| ( 6 != a(X168) )
| ( X169 = X170 )
| ( X168 = X170 )
| ( X168 = X169 ) )
& ! [X171: $int,X172: $int,X173: $int,X174: $int] :
( ~ $less(X172,X171)
| ( 2 != b(X174) )
| ~ $less(b(X172),3)
| ( 5 != b(X171) )
| ( 7 != a(X173) )
| ( 10 != a(X172) )
| ( 5 != a(X171) )
| ( X173 = X174 )
| ( X172 = X174 )
| ( X172 = X173 )
| ( X171 = X174 )
| ( X171 = X173 )
| ( X171 = X172 ) )
& ! [X175: $int,X176: $int,X177: $int] :
( ~ $less(X176,X175)
| ( 2 != b(X177) )
| ~ $less(b(X176),3)
| ( 5 != b(X175) )
| ( 7 != a(X177) )
| ( 10 != a(X176) )
| ( 5 != a(X175) )
| ( X176 = X177 )
| ( X175 = X177 )
| ( X175 = X176 ) )
& ! [X178: $int,X179: $int,X180: $int] :
( ~ $less(X179,X178)
| ( 2 != b(X180) )
| ~ $less(b(X179),3)
| ( 8 != a(X180) )
| ( 10 != a(X179) )
| ( 4 != a(X178) )
| ( X179 = X180 )
| ( X178 = X180 )
| ( X178 = X179 ) )
& ! [X181: $int,X182: $int,X183: $int] :
( ~ $less(X182,X181)
| ( 2 != b(X182) )
| ( 5 != b(X181) )
| ( 7 != a(X183) )
| ( 10 != a(X182) )
| ( 5 != a(X181) )
| ( X182 = X183 )
| ( X181 = X183 )
| ( X181 = X182 ) )
& ! [X184: $int,X185: $int,X186: $int] :
( ~ $less(X185,X184)
| ( 2 != b(X185) )
| ( 8 != a(X186) )
| ( 10 != a(X185) )
| ( 4 != a(X184) )
| ( X185 = X186 )
| ( X184 = X186 )
| ( X184 = X185 ) )
& ! [X187: $int,X188: $int,X189: $int] :
( ~ $less(X188,X187)
| ~ $less(b(X188),3)
| ( 5 != b(X187) )
| ( 6 != a(X189) )
| ( 10 != a(X188) )
| ( 7 != a(X187) )
| ( X188 = X189 )
| ( X187 = X189 )
| ( X187 = X188 ) )
& ! [X190: $int,X191: $int,X192: $int] :
( ~ $less(X191,X190)
| ~ $less(b(X191),3)
| ( 5 != b(X190) )
| ( 7 != a(X192) )
| ( 10 != a(X191) )
| ( 6 != a(X190) )
| ( X191 = X192 )
| ( X190 = X192 )
| ( X190 = X191 ) )
& ! [X193: $int,X194: $int,X195: $int,X196: $int] :
( ~ $less(X194,X193)
| ( 2 != b(X196) )
| ~ $less(b(X194),3)
| ( 8 != a(X195) )
| ( 10 != a(X194) )
| ( 5 != a(X193) )
| ( X195 = X196 )
| ( X194 = X196 )
| ( X194 = X195 )
| ( X193 = X196 )
| ( X193 = X195 )
| ( X193 = X194 ) )
& ! [X197: $int,X198: $int,X199: $int] :
( ~ $less(X198,X197)
| ( 2 != b(X199) )
| ~ $less(b(X198),3)
| ( 8 != a(X199) )
| ( 10 != a(X198) )
| ( 5 != a(X197) )
| ( X198 = X199 )
| ( X197 = X199 )
| ( X197 = X198 ) )
& ! [X200: $int,X201: $int,X202: $int] :
( ~ $less(X201,X200)
| ( 2 != b(X201) )
| ( 8 != a(X202) )
| ( 10 != a(X201) )
| ( 5 != a(X200) )
| ( X201 = X202 )
| ( X200 = X202 )
| ( X200 = X201 ) )
& ! [X203: $int,X204: $int,X205: $int] :
( ~ $less(X204,X203)
| ( 5 != b(X205) )
| ( 2 != b(X204) )
| ( 10 != a(X204) )
| ( 4 != a(X203) )
| ( X204 = X205 )
| ( X203 = X205 )
| ( X203 = X204 ) )
& ! [X206: $int,X207: $int,X208: $int] :
( ~ $less(X207,X206)
| ~ $less(b(X207),3)
| ( 5 != b(X206) )
| ( 7 != a(X208) )
| ( 10 != a(X207) )
| ( 7 != a(X206) )
| ( X207 = X208 )
| ( X206 = X208 )
| ( X206 = X207 ) )
& ! [X209: $int,X210: $int,X211: $int] :
( ~ $less(X210,X209)
| ~ $less(b(X210),3)
| ( 8 != a(X211) )
| ( 10 != a(X210) )
| ( 6 != a(X209) )
| ( X210 = X211 )
| ( X209 = X211 )
| ( X209 = X210 ) )
& ! [X212: $int,X213: $int,X214: $int,X215: $int] :
( ~ $less(X213,X212)
| ( 2 != b(X215) )
| ( 5 != b(X214) )
| ~ $less(b(X213),3)
| ( 10 != a(X213) )
| ( 5 != a(X212) )
| ( X214 = X215 )
| ( X213 = X215 )
| ( X213 = X214 )
| ( X212 = X215 )
| ( X212 = X214 )
| ( X212 = X213 ) )
& ! [X216: $int,X217: $int,X218: $int] :
( ~ $less(X217,X216)
| ( 5 != b(X218) )
| ( 2 != b(X217) )
| ( 10 != a(X217) )
| ( 5 != a(X216) )
| ( X217 = X218 )
| ( X216 = X218 )
| ( X216 = X217 ) )
& ! [X219: $int,X220: $int,X221: $int] :
( ~ $less(X220,X219)
| ~ $less(b(X220),3)
| ( 8 != a(X221) )
| ( 10 != a(X220) )
| ( 7 != a(X219) )
| ( X220 = X221 )
| ( X219 = X221 )
| ( X219 = X220 ) )
& ! [X222: $int,X223: $int,X224: $int] :
( ~ $less(X223,X222)
| ( 5 != b(X224) )
| ~ $less(b(X223),3)
| ( 10 != a(X223) )
| ( 6 != a(X222) )
| ( X223 = X224 )
| ( X222 = X224 )
| ( X222 = X223 ) )
& ! [X225: $int,X226: $int,X227: $int] :
( ~ $less(X226,X225)
| ( 5 != b(X227) )
| ~ $less(b(X226),3)
| ( 10 != a(X226) )
| ( 7 != a(X225) )
| ( X226 = X227 )
| ( X225 = X227 )
| ( X225 = X226 ) )
& ! [X228: $int,X229: $int] :
( ~ $less(X229,X228)
| ~ $less(b(X229),3)
| ( 10 != a(X229) )
| ( 8 != a(X228) )
| ( X228 = X229 ) )
& ! [X230: $int,X231: $int] :
( ~ $less(X231,X230)
| ~ $less(b(X231),3)
| ( 10 != a(X231) )
| ( 9 != a(X230) )
| ( X230 = X231 ) )
& ! [X232: $int,X233: $int] :
( ( 10 != a(X233) )
| ( 10 != a(X232) )
| ( X232 = X233 ) )
& ( z4 != z5 )
& ( z3 != z5 )
& ( z3 != z4 )
& ( z2 != z5 )
& ( z2 != z4 )
& ( z2 != z3 )
& ( z1 != z5 )
& ( z1 != z4 )
& ( z1 != z3 )
& ( z1 != z2 )
& ! [X234: $int] :
( ~ $less(5,b(X234))
& ~ $less(b(X234),1) )
& ! [X235: $int] :
( ~ $less(12,a(X235))
& ~ $less(a(X235),1) ) ),
inference(flattening,[],[f18]) ).
tff(f18,plain,
( $less(z2,z1)
& ( 2 = b(z4) )
& ( 5 = b(z3) )
& $less(b(z2),3)
& ( 5 = b(z1) )
& ( 7 = a(z4) )
& ( 10 = a(z2) )
& ( 5 = a(z1) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
( ~ $less(X1,X0)
| ( 2 != b(X3) )
| ( 5 != b(X2) )
| ~ $less(b(X1),3)
| ( 10 != a(X1) )
| ( a(X0) != 4 )
| ( X2 = X3 )
| ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X3 )
| ( X0 = X2 )
| ( X0 = X1 ) )
& ! [X4: $int,X5: $int,X6: $int,X7: $int] :
( ~ $less(X5,X4)
| ( 5 != b(X6) )
| ~ $less(b(X5),3)
| ( 2 != a(X7) )
| ( 10 != a(X5) )
| ( 5 != a(X4) )
| ( X6 = X7 )
| ( X5 = X7 )
| ( X5 = X6 )
| ( X4 = X7 )
| ( X4 = X6 )
| ( X4 = X5 ) )
& ! [X8: $int,X9: $int,X10: $int] :
( ~ $less(X9,X8)
| ( 2 != b(X9) )
| ( 5 != b(X8) )
| ( 4 != a(X10) )
| ( 10 != a(X9) )
| ( 12 != a(X8) )
| ( X9 = X10 )
| ( X8 = X10 )
| ( X8 = X9 ) )
& ! [X11: $int,X12: $int,X13: $int] :
( ~ $less(X12,X11)
| ( 2 != b(X12) )
| ( 5 != b(X11) )
| ( 5 != a(X13) )
| ( 10 != a(X12) )
| ( 12 != a(X11) )
| ( X12 = X13 )
| ( X11 = X13 )
| ( X11 = X12 ) )
& ! [X14: $int,X15: $int,X16: $int] :
( ~ $less(X15,X14)
| ( 2 != b(X15) )
| ( 5 != b(X14) )
| ( 4 != a(X16) )
| ( 10 != a(X15) )
| ( 1 != a(X14) )
| ( X15 = X16 )
| ( X14 = X16 )
| ( X14 = X15 ) )
& ! [X17: $int,X18: $int,X19: $int] :
( ~ $less(X18,X17)
| ( 2 != b(X18) )
| ( 5 != b(X17) )
| ( 4 != a(X19) )
| ( 10 != a(X18) )
| ( 2 != a(X17) )
| ( X18 = X19 )
| ( X17 = X19 )
| ( X17 = X18 ) )
& ! [X20: $int,X21: $int,X22: $int] :
( ~ $less(X21,X20)
| ( 2 != b(X21) )
| ( 5 != b(X20) )
| ( 6 != a(X22) )
| ( 10 != a(X21) )
| ( 12 != a(X20) )
| ( X21 = X22 )
| ( X20 = X22 )
| ( X20 = X21 ) )
& ! [X23: $int,X24: $int,X25: $int] :
( ~ $less(X24,X23)
| ( 2 != b(X24) )
| ( 5 != b(X23) )
| ( 5 != a(X25) )
| ( 10 != a(X24) )
| ( 1 != a(X23) )
| ( X24 = X25 )
| ( X23 = X25 )
| ( X23 = X24 ) )
& ! [X26: $int,X27: $int,X28: $int,X29: $int] :
( ~ $less(X27,X26)
| ( 5 != b(X29) )
| ( 2 != b(X28) )
| ~ $less(b(X27),3)
| ( 7 != a(X28) )
| ( 10 != a(X27) )
| ( 12 != a(X26) )
| ( X28 = X29 )
| ( X27 = X29 )
| ( X27 = X28 )
| ( X26 = X29 )
| ( X26 = X28 )
| ( X26 = X27 ) )
& ! [X30: $int,X31: $int,X32: $int] :
( ~ $less(X31,X30)
| ( 2 != b(X32) )
| ~ $less(b(X31),3)
| ( 5 != b(X30) )
| ( 7 != a(X32) )
| ( 10 != a(X31) )
| ( 12 != a(X30) )
| ( X31 = X32 )
| ( X30 = X32 )
| ( X30 = X31 ) )
& ! [X33: $int,X34: $int,X35: $int] :
( ~ $less(X34,X33)
| ( 2 != b(X34) )
| ( 5 != b(X33) )
| ( 5 != a(X35) )
| ( 10 != a(X34) )
| ( 2 != a(X33) )
| ( X34 = X35 )
| ( X33 = X35 )
| ( X33 = X34 ) )
& ! [X36: $int,X37: $int,X38: $int,X39: $int] :
( ~ $less(X37,X36)
| ( 5 != b(X39) )
| ~ $less(b(X38),4)
| ( 2 != b(X37) )
| ( 7 != a(X38) )
| ( 10 != a(X37) )
| ( 12 != a(X36) )
| ( X38 = X39 )
| ( X37 = X39 )
| ( X37 = X38 )
| ( X36 = X39 )
| ( X36 = X38 )
| ( X36 = X37 ) )
& ! [X40: $int,X41: $int,X42: $int] :
( ~ $less(X41,X40)
| ~ $less(b(X42),4)
| ( 2 != b(X41) )
| ( 5 != b(X40) )
| ( 7 != a(X42) )
| ( 10 != a(X41) )
| ( 12 != a(X40) )
| ( X41 = X42 )
| ( X40 = X42 )
| ( X40 = X41 ) )
& ! [X43: $int,X44: $int,X45: $int] :
( ~ $less(X44,X43)
| ( 2 != b(X44) )
| ( 5 != b(X43) )
| ( 6 != a(X45) )
| ( 10 != a(X44) )
| ( 1 != a(X43) )
| ( X44 = X45 )
| ( X43 = X45 )
| ( X43 = X44 ) )
& ! [X46: $int,X47: $int,X48: $int] :
( ~ $less(X47,X46)
| ( 2 != b(X48) )
| ~ $less(b(X47),3)
| ( 8 != a(X48) )
| ( 10 != a(X47) )
| ( 12 != a(X46) )
| ( X47 = X48 )
| ( X46 = X48 )
| ( X46 = X47 ) )
& ! [X49: $int,X50: $int,X51: $int,X52: $int] :
( ~ $less(X50,X49)
| ( 5 != b(X52) )
| ( 2 != b(X51) )
| ~ $less(b(X50),3)
| ( 7 != a(X51) )
| ( 10 != a(X50) )
| ( 1 != a(X49) )
| ( X51 = X52 )
| ( X50 = X52 )
| ( X50 = X51 )
| ( X49 = X52 )
| ( X49 = X51 )
| ( X49 = X50 ) )
& ! [X53: $int,X54: $int,X55: $int] :
( ~ $less(X54,X53)
| ( 2 != b(X55) )
| ~ $less(b(X54),3)
| ( 5 != b(X53) )
| ( 7 != a(X55) )
| ( 10 != a(X54) )
| ( 1 != a(X53) )
| ( X54 = X55 )
| ( X53 = X55 )
| ( X53 = X54 ) )
& ! [X56: $int,X57: $int,X58: $int] :
( ~ $less(X57,X56)
| ( 2 != b(X57) )
| ( 5 != b(X56) )
| ( 4 != a(X58) )
| ( 10 != a(X57) )
| ( 4 != a(X56) )
| ( X57 = X58 )
| ( X56 = X58 )
| ( X56 = X57 ) )
& ! [X59: $int,X60: $int,X61: $int] :
( ~ $less(X60,X59)
| ( 2 != b(X60) )
| ( 5 != b(X59) )
| ( 6 != a(X61) )
| ( 10 != a(X60) )
| ( 2 != a(X59) )
| ( X60 = X61 )
| ( X59 = X61 )
| ( X59 = X60 ) )
& ! [X62: $int,X63: $int,X64: $int] :
( ~ $less(X63,X62)
| ~ $less(b(X64),4)
| ( 2 != b(X63) )
| ( 8 != a(X64) )
| ( 10 != a(X63) )
| ( 12 != a(X62) )
| ( X63 = X64 )
| ( X62 = X64 )
| ( X62 = X63 ) )
& ! [X65: $int,X66: $int,X67: $int,X68: $int] :
( ~ $less(X66,X65)
| ( 5 != b(X68) )
| ~ $less(b(X67),4)
| ( 2 != b(X66) )
| ( 7 != a(X67) )
| ( 10 != a(X66) )
| ( 1 != a(X65) )
| ( X67 = X68 )
| ( X66 = X68 )
| ( X66 = X67 )
| ( X65 = X68 )
| ( X65 = X67 )
| ( X65 = X66 ) )
& ! [X69: $int,X70: $int,X71: $int] :
( ~ $less(X70,X69)
| ~ $less(b(X71),4)
| ( 2 != b(X70) )
| ( 5 != b(X69) )
| ( 7 != a(X71) )
| ( 10 != a(X70) )
| ( 1 != a(X69) )
| ( X70 = X71 )
| ( X69 = X71 )
| ( X69 = X70 ) )
& ! [X72: $int,X73: $int,X74: $int,X75: $int] :
( ~ $less(X73,X72)
| ( 5 != b(X75) )
| ( 2 != b(X74) )
| ~ $less(b(X73),3)
| ( 7 != a(X74) )
| ( 10 != a(X73) )
| ( 2 != a(X72) )
| ( X74 = X75 )
| ( X73 = X75 )
| ( X73 = X74 )
| ( X72 = X75 )
| ( X72 = X74 )
| ( X72 = X73 ) )
& ! [X76: $int,X77: $int,X78: $int] :
( ~ $less(X77,X76)
| ( 2 != b(X78) )
| ~ $less(b(X77),3)
| ( 5 != b(X76) )
| ( 7 != a(X78) )
| ( 10 != a(X77) )
| ( 2 != a(X76) )
| ( X77 = X78 )
| ( X76 = X78 )
| ( X76 = X77 ) )
& ! [X79: $int,X80: $int,X81: $int] :
( ~ $less(X80,X79)
| ( 2 != b(X81) )
| ~ $less(b(X80),3)
| ( 8 != a(X81) )
| ( 10 != a(X80) )
| ( 1 != a(X79) )
| ( X80 = X81 )
| ( X79 = X81 )
| ( X79 = X80 ) )
& ! [X82: $int,X83: $int,X84: $int] :
( ~ $less(X83,X82)
| ( 2 != b(X83) )
| ( 5 != b(X82) )
| ( 4 != a(X84) )
| ( 10 != a(X83) )
| ( 5 != a(X82) )
| ( X83 = X84 )
| ( X82 = X84 )
| ( X82 = X83 ) )
& ! [X85: $int,X86: $int,X87: $int] :
( ~ $less(X86,X85)
| ( 2 != b(X86) )
| ( 5 != b(X85) )
| ( 5 != a(X87) )
| ( 10 != a(X86) )
| ( 4 != a(X85) )
| ( X86 = X87 )
| ( X85 = X87 )
| ( X85 = X86 ) )
& ! [X88: $int,X89: $int,X90: $int,X91: $int] :
( ~ $less(X89,X88)
| ( 5 != b(X91) )
| ~ $less(b(X90),4)
| ( 2 != b(X89) )
| ( 7 != a(X90) )
| ( 10 != a(X89) )
| ( 2 != a(X88) )
| ( X90 = X91 )
| ( X89 = X91 )
| ( X89 = X90 )
| ( X88 = X91 )
| ( X88 = X90 )
| ( X88 = X89 ) )
& ! [X92: $int,X93: $int,X94: $int] :
( ~ $less(X93,X92)
| ~ $less(b(X94),4)
| ( 2 != b(X93) )
| ( 5 != b(X92) )
| ( 7 != a(X94) )
| ( 10 != a(X93) )
| ( 2 != a(X92) )
| ( X93 = X94 )
| ( X92 = X94 )
| ( X92 = X93 ) )
& ! [X95: $int,X96: $int,X97: $int] :
( ~ $less(X96,X95)
| ~ $less(b(X97),4)
| ( 2 != b(X96) )
| ( 8 != a(X97) )
| ( 10 != a(X96) )
| ( 1 != a(X95) )
| ( X96 = X97 )
| ( X95 = X97 )
| ( X95 = X96 ) )
& ! [X98: $int,X99: $int,X100: $int] :
( ~ $less(X99,X98)
| ( 2 != b(X99) )
| ( 5 != b(X98) )
| ( 4 != a(X100) )
| ( 10 != a(X99) )
| ( 6 != a(X98) )
| ( X99 = X100 )
| ( X98 = X100 )
| ( X98 = X99 ) )
& ! [X101: $int,X102: $int,X103: $int,X104: $int] :
( ~ $less(X102,X101)
| ( 2 != b(X104) )
| ( 2 != b(X103) )
| ~ $less(b(X102),3)
| ( 5 != b(X101) )
| ( 5 != a(X103) )
| ( 10 != a(X102) )
| ( 5 != a(X101) )
| ( X103 = X104 )
| ( X102 = X104 )
| ( X102 = X103 )
| ( X101 = X104 )
| ( X101 = X103 )
| ( X101 = X102 ) )
& ! [X105: $int,X106: $int,X107: $int,X108: $int] :
( ~ $less(X106,X105)
| ( 5 != b(X108) )
| ( 2 != b(X107) )
| ~ $less(b(X106),3)
| ~ $less(b(X105),4)
| ( 7 != a(X107) )
| ( 10 != a(X106) )
| ( 3 != a(X105) )
| ( X107 = X108 )
| ( X106 = X108 )
| ( X106 = X107 )
| ( X105 = X108 )
| ( X105 = X107 )
| ( X105 = X106 ) )
& ! [X109: $int,X110: $int,X111: $int] :
( ~ $less(X110,X109)
| ( 2 != b(X111) )
| ~ $less(b(X110),3)
| ( 8 != a(X111) )
| ( 10 != a(X110) )
| ( 2 != a(X109) )
| ( X110 = X111 )
| ( X109 = X111 )
| ( X109 = X110 ) )
& ! [X112: $int,X113: $int,X114: $int] :
( ~ $less(X113,X112)
| ( 2 != b(X113) )
| ( 5 != b(X112) )
| ( 5 != a(X114) )
| ( 10 != a(X113) )
| ( 5 != a(X112) )
| ( X113 = X114 )
| ( X112 = X114 )
| ( X112 = X113 ) )
& ! [X115: $int,X116: $int,X117: $int] :
( ~ $less(X116,X115)
| ( 2 != b(X116) )
| ( 5 != b(X115) )
| ( 6 != a(X117) )
| ( 10 != a(X116) )
| ( 4 != a(X115) )
| ( X116 = X117 )
| ( X115 = X117 )
| ( X115 = X116 ) )
& ! [X118: $int,X119: $int,X120: $int,X121: $int] :
( ~ $less(X119,X118)
| ( 5 != b(X121) )
| ~ $less(b(X120),4)
| ( 2 != b(X119) )
| ~ $less(b(X118),4)
| ( 7 != a(X120) )
| ( 10 != a(X119) )
| ( 3 != a(X118) )
| ( X120 = X121 )
| ( X119 = X121 )
| ( X119 = X120 )
| ( X118 = X121 )
| ( X118 = X120 )
| ( X118 = X119 ) )
& ! [X122: $int,X123: $int,X124: $int] :
( ~ $less(X123,X122)
| ~ $less(b(X124),4)
| ( 2 != b(X123) )
| ( 8 != a(X124) )
| ( 10 != a(X123) )
| ( 2 != a(X122) )
| ( X123 = X124 )
| ( X122 = X124 )
| ( X122 = X123 ) )
& ! [X125: $int,X126: $int,X127: $int] :
( ~ $less(X126,X125)
| ( 2 != b(X126) )
| ( 5 != b(X125) )
| ( 4 != a(X127) )
| ( 10 != a(X126) )
| ( 7 != a(X125) )
| ( X126 = X127 )
| ( X125 = X127 )
| ( X125 = X126 ) )
& ! [X128: $int,X129: $int,X130: $int,X131: $int] :
( ~ $less(X129,X128)
| ( 2 != b(X131) )
| ~ $less(b(X129),3)
| ( 5 != b(X128) )
| ( 5 != a(X130) )
| ( 10 != a(X129) )
| ( 6 != a(X128) )
| ( X130 = X131 )
| ( X129 = X131 )
| ( X129 = X130 )
| ( X128 = X131 )
| ( X128 = X130 )
| ( X128 = X129 ) )
& ! [X132: $int,X133: $int,X134: $int] :
( ~ $less(X133,X132)
| ( 2 != b(X133) )
| ( 5 != b(X132) )
| ( 5 != a(X134) )
| ( 10 != a(X133) )
| ( 6 != a(X132) )
| ( X133 = X134 )
| ( X132 = X134 )
| ( X132 = X133 ) )
& ! [X135: $int,X136: $int,X137: $int,X138: $int] :
( ~ $less(X136,X135)
| ( 2 != b(X138) )
| ~ $less(b(X136),3)
| ( 5 != b(X135) )
| ( 6 != a(X137) )
| ( 10 != a(X136) )
| ( 5 != a(X135) )
| ( X137 = X138 )
| ( X136 = X138 )
| ( X136 = X137 )
| ( X135 = X138 )
| ( X135 = X137 )
| ( X135 = X136 ) )
& ! [X139: $int,X140: $int,X141: $int] :
( ~ $less(X140,X139)
| ( 2 != b(X141) )
| ~ $less(b(X140),3)
| ( 5 != b(X139) )
| ( 6 != a(X141) )
| ( 10 != a(X140) )
| ( 5 != a(X139) )
| ( X140 = X141 )
| ( X139 = X141 )
| ( X139 = X140 ) )
& ! [X142: $int,X143: $int,X144: $int,X145: $int] :
( ~ $less(X143,X142)
| ( 5 != b(X145) )
| ( 2 != b(X144) )
| ~ $less(b(X143),3)
| ( 7 != a(X144) )
| ( 10 != a(X143) )
| ( 4 != a(X142) )
| ( X144 = X145 )
| ( X143 = X145 )
| ( X143 = X144 )
| ( X142 = X145 )
| ( X142 = X144 )
| ( X142 = X143 ) )
& ! [X146: $int,X147: $int,X148: $int] :
( ~ $less(X147,X146)
| ( 2 != b(X148) )
| ~ $less(b(X147),3)
| ( 5 != b(X146) )
| ( 7 != a(X148) )
| ( 10 != a(X147) )
| ( 4 != a(X146) )
| ( X147 = X148 )
| ( X146 = X148 )
| ( X146 = X147 ) )
& ! [X149: $int,X150: $int,X151: $int] :
( ~ $less(X150,X149)
| ( 2 != b(X151) )
| ~ $less(b(X150),3)
| ~ $less(b(X149),4)
| ( 8 != a(X151) )
| ( 10 != a(X150) )
| ( 3 != a(X149) )
| ( X150 = X151 )
| ( X149 = X151 )
| ( X149 = X150 ) )
& ! [X152: $int,X153: $int,X154: $int] :
( ~ $less(X153,X152)
| ( 2 != b(X153) )
| ( 5 != b(X152) )
| ( 6 != a(X154) )
| ( 10 != a(X153) )
| ( 5 != a(X152) )
| ( X153 = X154 )
| ( X152 = X154 )
| ( X152 = X153 ) )
& ! [X155: $int,X156: $int,X157: $int] :
( ~ $less(X156,X155)
| ( 2 != b(X156) )
| ( 5 != b(X155) )
| ( 7 != a(X157) )
| ( 10 != a(X156) )
| ( 4 != a(X155) )
| ( X156 = X157 )
| ( X155 = X157 )
| ( X155 = X156 ) )
& ! [X158: $int,X159: $int,X160: $int] :
( ~ $less(X159,X158)
| ~ $less(b(X160),4)
| ( 2 != b(X159) )
| ~ $less(b(X158),4)
| ( 8 != a(X160) )
| ( 10 != a(X159) )
| ( 3 != a(X158) )
| ( X159 = X160 )
| ( X158 = X160 )
| ( X158 = X159 ) )
& ! [X161: $int,X162: $int,X163: $int,X164: $int] :
( ~ $less(X162,X161)
| ( 2 != b(X164) )
| ~ $less(b(X162),3)
| ( 5 != b(X161) )
| ( 5 != a(X163) )
| ( 10 != a(X162) )
| ( 7 != a(X161) )
| ( X163 = X164 )
| ( X162 = X164 )
| ( X162 = X163 )
| ( X161 = X164 )
| ( X161 = X163 )
| ( X161 = X162 ) )
& ! [X165: $int,X166: $int,X167: $int] :
( ~ $less(X166,X165)
| ( 2 != b(X166) )
| ( 5 != b(X165) )
| ( 5 != a(X167) )
| ( 10 != a(X166) )
| ( 7 != a(X165) )
| ( X166 = X167 )
| ( X165 = X167 )
| ( X165 = X166 ) )
& ! [X168: $int,X169: $int,X170: $int] :
( ~ $less(X169,X168)
| ~ $less(b(X169),3)
| ( 5 != b(X168) )
| ( 6 != a(X170) )
| ( 10 != a(X169) )
| ( 6 != a(X168) )
| ( X169 = X170 )
| ( X168 = X170 )
| ( X168 = X169 ) )
& ! [X171: $int,X172: $int,X173: $int,X174: $int] :
( ~ $less(X172,X171)
| ( 2 != b(X174) )
| ~ $less(b(X172),3)
| ( 5 != b(X171) )
| ( 7 != a(X173) )
| ( 10 != a(X172) )
| ( 5 != a(X171) )
| ( X173 = X174 )
| ( X172 = X174 )
| ( X172 = X173 )
| ( X171 = X174 )
| ( X171 = X173 )
| ( X171 = X172 ) )
& ! [X175: $int,X176: $int,X177: $int] :
( ~ $less(X176,X175)
| ( 2 != b(X177) )
| ~ $less(b(X176),3)
| ( 5 != b(X175) )
| ( 7 != a(X177) )
| ( 10 != a(X176) )
| ( 5 != a(X175) )
| ( X176 = X177 )
| ( X175 = X177 )
| ( X175 = X176 ) )
& ! [X178: $int,X179: $int,X180: $int] :
( ~ $less(X179,X178)
| ( 2 != b(X180) )
| ~ $less(b(X179),3)
| ( 8 != a(X180) )
| ( 10 != a(X179) )
| ( 4 != a(X178) )
| ( X179 = X180 )
| ( X178 = X180 )
| ( X178 = X179 ) )
& ! [X181: $int,X182: $int,X183: $int] :
( ~ $less(X182,X181)
| ( 2 != b(X182) )
| ( 5 != b(X181) )
| ( 7 != a(X183) )
| ( 10 != a(X182) )
| ( 5 != a(X181) )
| ( X182 = X183 )
| ( X181 = X183 )
| ( X181 = X182 ) )
& ! [X184: $int,X185: $int,X186: $int] :
( ~ $less(X185,X184)
| ( 2 != b(X185) )
| ( 8 != a(X186) )
| ( 10 != a(X185) )
| ( 4 != a(X184) )
| ( X185 = X186 )
| ( X184 = X186 )
| ( X184 = X185 ) )
& ! [X187: $int,X188: $int,X189: $int] :
( ~ $less(X188,X187)
| ~ $less(b(X188),3)
| ( 5 != b(X187) )
| ( 6 != a(X189) )
| ( 10 != a(X188) )
| ( 7 != a(X187) )
| ( X188 = X189 )
| ( X187 = X189 )
| ( X187 = X188 ) )
& ! [X190: $int,X191: $int,X192: $int] :
( ~ $less(X191,X190)
| ~ $less(b(X191),3)
| ( 5 != b(X190) )
| ( 7 != a(X192) )
| ( 10 != a(X191) )
| ( 6 != a(X190) )
| ( X191 = X192 )
| ( X190 = X192 )
| ( X190 = X191 ) )
& ! [X193: $int,X194: $int,X195: $int,X196: $int] :
( ~ $less(X194,X193)
| ( 2 != b(X196) )
| ~ $less(b(X194),3)
| ( 8 != a(X195) )
| ( 10 != a(X194) )
| ( 5 != a(X193) )
| ( X195 = X196 )
| ( X194 = X196 )
| ( X194 = X195 )
| ( X193 = X196 )
| ( X193 = X195 )
| ( X193 = X194 ) )
& ! [X197: $int,X198: $int,X199: $int] :
( ~ $less(X198,X197)
| ( 2 != b(X199) )
| ~ $less(b(X198),3)
| ( 8 != a(X199) )
| ( 10 != a(X198) )
| ( 5 != a(X197) )
| ( X198 = X199 )
| ( X197 = X199 )
| ( X197 = X198 ) )
& ! [X200: $int,X201: $int,X202: $int] :
( ~ $less(X201,X200)
| ( 2 != b(X201) )
| ( 8 != a(X202) )
| ( 10 != a(X201) )
| ( 5 != a(X200) )
| ( X201 = X202 )
| ( X200 = X202 )
| ( X200 = X201 ) )
& ! [X203: $int,X204: $int,X205: $int] :
( ~ $less(X204,X203)
| ( 5 != b(X205) )
| ( 2 != b(X204) )
| ( 10 != a(X204) )
| ( 4 != a(X203) )
| ( X204 = X205 )
| ( X203 = X205 )
| ( X203 = X204 ) )
& ! [X206: $int,X207: $int,X208: $int] :
( ~ $less(X207,X206)
| ~ $less(b(X207),3)
| ( 5 != b(X206) )
| ( 7 != a(X208) )
| ( 10 != a(X207) )
| ( 7 != a(X206) )
| ( X207 = X208 )
| ( X206 = X208 )
| ( X206 = X207 ) )
& ! [X209: $int,X210: $int,X211: $int] :
( ~ $less(X210,X209)
| ~ $less(b(X210),3)
| ( 8 != a(X211) )
| ( 10 != a(X210) )
| ( 6 != a(X209) )
| ( X210 = X211 )
| ( X209 = X211 )
| ( X209 = X210 ) )
& ! [X212: $int,X213: $int,X214: $int,X215: $int] :
( ~ $less(X213,X212)
| ( 2 != b(X215) )
| ( 5 != b(X214) )
| ~ $less(b(X213),3)
| ( 10 != a(X213) )
| ( 5 != a(X212) )
| ( X214 = X215 )
| ( X213 = X215 )
| ( X213 = X214 )
| ( X212 = X215 )
| ( X212 = X214 )
| ( X212 = X213 ) )
& ! [X216: $int,X217: $int,X218: $int] :
( ~ $less(X217,X216)
| ( 5 != b(X218) )
| ( 2 != b(X217) )
| ( 10 != a(X217) )
| ( 5 != a(X216) )
| ( X217 = X218 )
| ( X216 = X218 )
| ( X216 = X217 ) )
& ! [X219: $int,X220: $int,X221: $int] :
( ~ $less(X220,X219)
| ~ $less(b(X220),3)
| ( 8 != a(X221) )
| ( 10 != a(X220) )
| ( 7 != a(X219) )
| ( X220 = X221 )
| ( X219 = X221 )
| ( X219 = X220 ) )
& ! [X222: $int,X223: $int,X224: $int] :
( ~ $less(X223,X222)
| ( 5 != b(X224) )
| ~ $less(b(X223),3)
| ( 10 != a(X223) )
| ( 6 != a(X222) )
| ( X223 = X224 )
| ( X222 = X224 )
| ( X222 = X223 ) )
& ! [X225: $int,X226: $int,X227: $int] :
( ~ $less(X226,X225)
| ( 5 != b(X227) )
| ~ $less(b(X226),3)
| ( 10 != a(X226) )
| ( 7 != a(X225) )
| ( X226 = X227 )
| ( X225 = X227 )
| ( X225 = X226 ) )
& ! [X228: $int,X229: $int] :
( ~ $less(X229,X228)
| ~ $less(b(X229),3)
| ( 10 != a(X229) )
| ( 8 != a(X228) )
| ( X228 = X229 ) )
& ! [X230: $int,X231: $int] :
( ~ $less(X231,X230)
| ~ $less(b(X231),3)
| ( 10 != a(X231) )
| ( 9 != a(X230) )
| ( X230 = X231 ) )
& ! [X232: $int,X233: $int] :
( ( 10 != a(X233) )
| ( 10 != a(X232) )
| ( X232 = X233 ) )
& ( z4 != z5 )
& ( z3 != z5 )
& ( z3 != z4 )
& ( z2 != z5 )
& ( z2 != z4 )
& ( z2 != z3 )
& ( z1 != z5 )
& ( z1 != z4 )
& ( z1 != z3 )
& ( z1 != z2 )
& ! [X234: $int] :
( ~ $less(5,b(X234))
& ~ $less(b(X234),1) )
& ! [X235: $int] :
( ~ $less(12,a(X235))
& ~ $less(a(X235),1) ) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
~ ( ( ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X4: $int,X5: $int,X6: $int,X7: $int] :
~ ( $less(X5,X4)
& ( 5 = b(X6) )
& $less(b(X5),3)
& ( 2 = a(X7) )
& ( 10 = a(X5) )
& ( 5 = a(X4) )
& ( X6 != X7 )
& ( X5 != X7 )
& ( X5 != X6 )
& ( X4 != X7 )
& ( X4 != X6 )
& ( X4 != X5 ) )
& ! [X8: $int,X9: $int,X10: $int] :
~ ( $less(X9,X8)
& ( 2 = b(X9) )
& ( 5 = b(X8) )
& ( 4 = a(X10) )
& ( 10 = a(X9) )
& ( 12 = a(X8) )
& ( X9 != X10 )
& ( X8 != X10 )
& ( X8 != X9 ) )
& ! [X11: $int,X12: $int,X13: $int] :
~ ( $less(X12,X11)
& ( 2 = b(X12) )
& ( 5 = b(X11) )
& ( 5 = a(X13) )
& ( 10 = a(X12) )
& ( 12 = a(X11) )
& ( X12 != X13 )
& ( X11 != X13 )
& ( X11 != X12 ) )
& ! [X14: $int,X15: $int,X16: $int] :
~ ( $less(X15,X14)
& ( 2 = b(X15) )
& ( 5 = b(X14) )
& ( 4 = a(X16) )
& ( 10 = a(X15) )
& ( 1 = a(X14) )
& ( X15 != X16 )
& ( X14 != X16 )
& ( X14 != X15 ) )
& ! [X17: $int,X18: $int,X19: $int] :
~ ( $less(X18,X17)
& ( 2 = b(X18) )
& ( 5 = b(X17) )
& ( 4 = a(X19) )
& ( 10 = a(X18) )
& ( 2 = a(X17) )
& ( X18 != X19 )
& ( X17 != X19 )
& ( X17 != X18 ) )
& ! [X20: $int,X21: $int,X22: $int] :
~ ( $less(X21,X20)
& ( 2 = b(X21) )
& ( 5 = b(X20) )
& ( 6 = a(X22) )
& ( 10 = a(X21) )
& ( 12 = a(X20) )
& ( X21 != X22 )
& ( X20 != X22 )
& ( X20 != X21 ) )
& ! [X23: $int,X24: $int,X25: $int] :
~ ( $less(X24,X23)
& ( 2 = b(X24) )
& ( 5 = b(X23) )
& ( 5 = a(X25) )
& ( 10 = a(X24) )
& ( 1 = a(X23) )
& ( X24 != X25 )
& ( X23 != X25 )
& ( X23 != X24 ) )
& ! [X26: $int,X27: $int,X28: $int,X29: $int] :
~ ( $less(X27,X26)
& ( 5 = b(X29) )
& ( 2 = b(X28) )
& $less(b(X27),3)
& ( 7 = a(X28) )
& ( 10 = a(X27) )
& ( 12 = a(X26) )
& ( X28 != X29 )
& ( X27 != X29 )
& ( X27 != X28 )
& ( X26 != X29 )
& ( X26 != X28 )
& ( X26 != X27 ) )
& ! [X30: $int,X31: $int,X32: $int] :
~ ( $less(X31,X30)
& ( 2 = b(X32) )
& $less(b(X31),3)
& ( 5 = b(X30) )
& ( 7 = a(X32) )
& ( 10 = a(X31) )
& ( 12 = a(X30) )
& ( X31 != X32 )
& ( X30 != X32 )
& ( X30 != X31 ) )
& ! [X33: $int,X34: $int,X35: $int] :
~ ( $less(X34,X33)
& ( 2 = b(X34) )
& ( 5 = b(X33) )
& ( 5 = a(X35) )
& ( 10 = a(X34) )
& ( 2 = a(X33) )
& ( X34 != X35 )
& ( X33 != X35 )
& ( X33 != X34 ) )
& ! [X36: $int,X37: $int,X38: $int,X39: $int] :
~ ( $less(X37,X36)
& ( 5 = b(X39) )
& $less(b(X38),4)
& ( 2 = b(X37) )
& ( 7 = a(X38) )
& ( 10 = a(X37) )
& ( 12 = a(X36) )
& ( X38 != X39 )
& ( X37 != X39 )
& ( X37 != X38 )
& ( X36 != X39 )
& ( X36 != X38 )
& ( X36 != X37 ) )
& ! [X40: $int,X41: $int,X42: $int] :
~ ( $less(X41,X40)
& $less(b(X42),4)
& ( 2 = b(X41) )
& ( 5 = b(X40) )
& ( 7 = a(X42) )
& ( 10 = a(X41) )
& ( 12 = a(X40) )
& ( X41 != X42 )
& ( X40 != X42 )
& ( X40 != X41 ) )
& ! [X43: $int,X44: $int,X45: $int] :
~ ( $less(X44,X43)
& ( 2 = b(X44) )
& ( 5 = b(X43) )
& ( 6 = a(X45) )
& ( 10 = a(X44) )
& ( 1 = a(X43) )
& ( X44 != X45 )
& ( X43 != X45 )
& ( X43 != X44 ) )
& ! [X46: $int,X47: $int,X48: $int] :
~ ( $less(X47,X46)
& ( 2 = b(X48) )
& $less(b(X47),3)
& ( 8 = a(X48) )
& ( 10 = a(X47) )
& ( 12 = a(X46) )
& ( X47 != X48 )
& ( X46 != X48 )
& ( X46 != X47 ) )
& ! [X49: $int,X50: $int,X51: $int,X52: $int] :
~ ( $less(X50,X49)
& ( 5 = b(X52) )
& ( 2 = b(X51) )
& $less(b(X50),3)
& ( 7 = a(X51) )
& ( 10 = a(X50) )
& ( 1 = a(X49) )
& ( X51 != X52 )
& ( X50 != X52 )
& ( X50 != X51 )
& ( X49 != X52 )
& ( X49 != X51 )
& ( X49 != X50 ) )
& ! [X53: $int,X54: $int,X55: $int] :
~ ( $less(X54,X53)
& ( 2 = b(X55) )
& $less(b(X54),3)
& ( 5 = b(X53) )
& ( 7 = a(X55) )
& ( 10 = a(X54) )
& ( 1 = a(X53) )
& ( X54 != X55 )
& ( X53 != X55 )
& ( X53 != X54 ) )
& ! [X56: $int,X57: $int,X58: $int] :
~ ( $less(X57,X56)
& ( 2 = b(X57) )
& ( 5 = b(X56) )
& ( 4 = a(X58) )
& ( 10 = a(X57) )
& ( 4 = a(X56) )
& ( X57 != X58 )
& ( X56 != X58 )
& ( X56 != X57 ) )
& ! [X59: $int,X60: $int,X61: $int] :
~ ( $less(X60,X59)
& ( 2 = b(X60) )
& ( 5 = b(X59) )
& ( 6 = a(X61) )
& ( 10 = a(X60) )
& ( 2 = a(X59) )
& ( X60 != X61 )
& ( X59 != X61 )
& ( X59 != X60 ) )
& ! [X62: $int,X63: $int,X64: $int] :
~ ( $less(X63,X62)
& $less(b(X64),4)
& ( 2 = b(X63) )
& ( 8 = a(X64) )
& ( 10 = a(X63) )
& ( 12 = a(X62) )
& ( X63 != X64 )
& ( X62 != X64 )
& ( X62 != X63 ) )
& ! [X65: $int,X66: $int,X67: $int,X68: $int] :
~ ( $less(X66,X65)
& ( 5 = b(X68) )
& $less(b(X67),4)
& ( 2 = b(X66) )
& ( 7 = a(X67) )
& ( 10 = a(X66) )
& ( 1 = a(X65) )
& ( X67 != X68 )
& ( X66 != X68 )
& ( X66 != X67 )
& ( X65 != X68 )
& ( X65 != X67 )
& ( X65 != X66 ) )
& ! [X69: $int,X70: $int,X71: $int] :
~ ( $less(X70,X69)
& $less(b(X71),4)
& ( 2 = b(X70) )
& ( 5 = b(X69) )
& ( 7 = a(X71) )
& ( 10 = a(X70) )
& ( 1 = a(X69) )
& ( X70 != X71 )
& ( X69 != X71 )
& ( X69 != X70 ) )
& ! [X72: $int,X73: $int,X74: $int,X75: $int] :
~ ( $less(X73,X72)
& ( 5 = b(X75) )
& ( 2 = b(X74) )
& $less(b(X73),3)
& ( 7 = a(X74) )
& ( 10 = a(X73) )
& ( 2 = a(X72) )
& ( X74 != X75 )
& ( X73 != X75 )
& ( X73 != X74 )
& ( X72 != X75 )
& ( X72 != X74 )
& ( X72 != X73 ) )
& ! [X76: $int,X77: $int,X78: $int] :
~ ( $less(X77,X76)
& ( 2 = b(X78) )
& $less(b(X77),3)
& ( 5 = b(X76) )
& ( 7 = a(X78) )
& ( 10 = a(X77) )
& ( 2 = a(X76) )
& ( X77 != X78 )
& ( X76 != X78 )
& ( X76 != X77 ) )
& ! [X79: $int,X80: $int,X81: $int] :
~ ( $less(X80,X79)
& ( 2 = b(X81) )
& $less(b(X80),3)
& ( 8 = a(X81) )
& ( 10 = a(X80) )
& ( 1 = a(X79) )
& ( X80 != X81 )
& ( X79 != X81 )
& ( X79 != X80 ) )
& ! [X82: $int,X83: $int,X84: $int] :
~ ( $less(X83,X82)
& ( 2 = b(X83) )
& ( 5 = b(X82) )
& ( 4 = a(X84) )
& ( 10 = a(X83) )
& ( 5 = a(X82) )
& ( X83 != X84 )
& ( X82 != X84 )
& ( X82 != X83 ) )
& ! [X85: $int,X86: $int,X87: $int] :
~ ( $less(X86,X85)
& ( 2 = b(X86) )
& ( 5 = b(X85) )
& ( 5 = a(X87) )
& ( 10 = a(X86) )
& ( 4 = a(X85) )
& ( X86 != X87 )
& ( X85 != X87 )
& ( X85 != X86 ) )
& ! [X88: $int,X89: $int,X90: $int,X91: $int] :
~ ( $less(X89,X88)
& ( 5 = b(X91) )
& $less(b(X90),4)
& ( 2 = b(X89) )
& ( 7 = a(X90) )
& ( 10 = a(X89) )
& ( 2 = a(X88) )
& ( X90 != X91 )
& ( X89 != X91 )
& ( X89 != X90 )
& ( X88 != X91 )
& ( X88 != X90 )
& ( X88 != X89 ) )
& ! [X92: $int,X93: $int,X94: $int] :
~ ( $less(X93,X92)
& $less(b(X94),4)
& ( 2 = b(X93) )
& ( 5 = b(X92) )
& ( 7 = a(X94) )
& ( 10 = a(X93) )
& ( 2 = a(X92) )
& ( X93 != X94 )
& ( X92 != X94 )
& ( X92 != X93 ) )
& ! [X95: $int,X96: $int,X97: $int] :
~ ( $less(X96,X95)
& $less(b(X97),4)
& ( 2 = b(X96) )
& ( 8 = a(X97) )
& ( 10 = a(X96) )
& ( 1 = a(X95) )
& ( X96 != X97 )
& ( X95 != X97 )
& ( X95 != X96 ) )
& ! [X98: $int,X99: $int,X100: $int] :
~ ( $less(X99,X98)
& ( 2 = b(X99) )
& ( 5 = b(X98) )
& ( 4 = a(X100) )
& ( 10 = a(X99) )
& ( 6 = a(X98) )
& ( X99 != X100 )
& ( X98 != X100 )
& ( X98 != X99 ) )
& ! [X101: $int,X102: $int,X103: $int,X104: $int] :
~ ( $less(X102,X101)
& ( 2 = b(X104) )
& ( 2 = b(X103) )
& $less(b(X102),3)
& ( 5 = b(X101) )
& ( 5 = a(X103) )
& ( 10 = a(X102) )
& ( 5 = a(X101) )
& ( X103 != X104 )
& ( X102 != X104 )
& ( X102 != X103 )
& ( X101 != X104 )
& ( X101 != X103 )
& ( X101 != X102 ) )
& ! [X105: $int,X106: $int,X107: $int,X108: $int] :
~ ( $less(X106,X105)
& ( 5 = b(X108) )
& ( 2 = b(X107) )
& $less(b(X106),3)
& $less(b(X105),4)
& ( 7 = a(X107) )
& ( 10 = a(X106) )
& ( 3 = a(X105) )
& ( X107 != X108 )
& ( X106 != X108 )
& ( X106 != X107 )
& ( X105 != X108 )
& ( X105 != X107 )
& ( X105 != X106 ) )
& ! [X109: $int,X110: $int,X111: $int] :
~ ( $less(X110,X109)
& ( 2 = b(X111) )
& $less(b(X110),3)
& ( 8 = a(X111) )
& ( 10 = a(X110) )
& ( 2 = a(X109) )
& ( X110 != X111 )
& ( X109 != X111 )
& ( X109 != X110 ) )
& ! [X112: $int,X113: $int,X114: $int] :
~ ( $less(X113,X112)
& ( 2 = b(X113) )
& ( 5 = b(X112) )
& ( 5 = a(X114) )
& ( 10 = a(X113) )
& ( 5 = a(X112) )
& ( X113 != X114 )
& ( X112 != X114 )
& ( X112 != X113 ) )
& ! [X115: $int,X116: $int,X117: $int] :
~ ( $less(X116,X115)
& ( 2 = b(X116) )
& ( 5 = b(X115) )
& ( 6 = a(X117) )
& ( 10 = a(X116) )
& ( 4 = a(X115) )
& ( X116 != X117 )
& ( X115 != X117 )
& ( X115 != X116 ) )
& ! [X118: $int,X119: $int,X120: $int,X121: $int] :
~ ( $less(X119,X118)
& ( 5 = b(X121) )
& $less(b(X120),4)
& ( 2 = b(X119) )
& $less(b(X118),4)
& ( 7 = a(X120) )
& ( 10 = a(X119) )
& ( 3 = a(X118) )
& ( X120 != X121 )
& ( X119 != X121 )
& ( X119 != X120 )
& ( X118 != X121 )
& ( X118 != X120 )
& ( X118 != X119 ) )
& ! [X122: $int,X123: $int,X124: $int] :
~ ( $less(X123,X122)
& $less(b(X124),4)
& ( 2 = b(X123) )
& ( 8 = a(X124) )
& ( 10 = a(X123) )
& ( 2 = a(X122) )
& ( X123 != X124 )
& ( X122 != X124 )
& ( X122 != X123 ) )
& ! [X125: $int,X126: $int,X127: $int] :
~ ( $less(X126,X125)
& ( 2 = b(X126) )
& ( 5 = b(X125) )
& ( 4 = a(X127) )
& ( 10 = a(X126) )
& ( 7 = a(X125) )
& ( X126 != X127 )
& ( X125 != X127 )
& ( X125 != X126 ) )
& ! [X128: $int,X129: $int,X130: $int,X131: $int] :
~ ( $less(X129,X128)
& ( 2 = b(X131) )
& $less(b(X129),3)
& ( 5 = b(X128) )
& ( 5 = a(X130) )
& ( 10 = a(X129) )
& ( 6 = a(X128) )
& ( X130 != X131 )
& ( X129 != X131 )
& ( X129 != X130 )
& ( X128 != X131 )
& ( X128 != X130 )
& ( X128 != X129 ) )
& ! [X132: $int,X133: $int,X134: $int] :
~ ( $less(X133,X132)
& ( 2 = b(X133) )
& ( 5 = b(X132) )
& ( 5 = a(X134) )
& ( 10 = a(X133) )
& ( 6 = a(X132) )
& ( X133 != X134 )
& ( X132 != X134 )
& ( X132 != X133 ) )
& ! [X135: $int,X136: $int,X137: $int,X138: $int] :
~ ( $less(X136,X135)
& ( 2 = b(X138) )
& $less(b(X136),3)
& ( 5 = b(X135) )
& ( 6 = a(X137) )
& ( 10 = a(X136) )
& ( 5 = a(X135) )
& ( X137 != X138 )
& ( X136 != X138 )
& ( X136 != X137 )
& ( X135 != X138 )
& ( X135 != X137 )
& ( X135 != X136 ) )
& ! [X139: $int,X140: $int,X141: $int] :
~ ( $less(X140,X139)
& ( 2 = b(X141) )
& $less(b(X140),3)
& ( 5 = b(X139) )
& ( 6 = a(X141) )
& ( 10 = a(X140) )
& ( 5 = a(X139) )
& ( X140 != X141 )
& ( X139 != X141 )
& ( X139 != X140 ) )
& ! [X142: $int,X143: $int,X144: $int,X145: $int] :
~ ( $less(X143,X142)
& ( 5 = b(X145) )
& ( 2 = b(X144) )
& $less(b(X143),3)
& ( 7 = a(X144) )
& ( 10 = a(X143) )
& ( 4 = a(X142) )
& ( X144 != X145 )
& ( X143 != X145 )
& ( X143 != X144 )
& ( X142 != X145 )
& ( X142 != X144 )
& ( X142 != X143 ) )
& ! [X146: $int,X147: $int,X148: $int] :
~ ( $less(X147,X146)
& ( 2 = b(X148) )
& $less(b(X147),3)
& ( 5 = b(X146) )
& ( 7 = a(X148) )
& ( 10 = a(X147) )
& ( 4 = a(X146) )
& ( X147 != X148 )
& ( X146 != X148 )
& ( X146 != X147 ) )
& ! [X149: $int,X150: $int,X151: $int] :
~ ( $less(X150,X149)
& ( 2 = b(X151) )
& $less(b(X150),3)
& $less(b(X149),4)
& ( 8 = a(X151) )
& ( 10 = a(X150) )
& ( 3 = a(X149) )
& ( X150 != X151 )
& ( X149 != X151 )
& ( X149 != X150 ) )
& ! [X152: $int,X153: $int,X154: $int] :
~ ( $less(X153,X152)
& ( 2 = b(X153) )
& ( 5 = b(X152) )
& ( 6 = a(X154) )
& ( 10 = a(X153) )
& ( 5 = a(X152) )
& ( X153 != X154 )
& ( X152 != X154 )
& ( X152 != X153 ) )
& ! [X155: $int,X156: $int,X157: $int] :
~ ( $less(X156,X155)
& ( 2 = b(X156) )
& ( 5 = b(X155) )
& ( 7 = a(X157) )
& ( 10 = a(X156) )
& ( 4 = a(X155) )
& ( X156 != X157 )
& ( X155 != X157 )
& ( X155 != X156 ) )
& ! [X158: $int,X159: $int,X160: $int] :
~ ( $less(X159,X158)
& $less(b(X160),4)
& ( 2 = b(X159) )
& $less(b(X158),4)
& ( 8 = a(X160) )
& ( 10 = a(X159) )
& ( 3 = a(X158) )
& ( X159 != X160 )
& ( X158 != X160 )
& ( X158 != X159 ) )
& ! [X161: $int,X162: $int,X163: $int,X164: $int] :
~ ( $less(X162,X161)
& ( 2 = b(X164) )
& $less(b(X162),3)
& ( 5 = b(X161) )
& ( 5 = a(X163) )
& ( 10 = a(X162) )
& ( 7 = a(X161) )
& ( X163 != X164 )
& ( X162 != X164 )
& ( X162 != X163 )
& ( X161 != X164 )
& ( X161 != X163 )
& ( X161 != X162 ) )
& ! [X165: $int,X166: $int,X167: $int] :
~ ( $less(X166,X165)
& ( 2 = b(X166) )
& ( 5 = b(X165) )
& ( 5 = a(X167) )
& ( 10 = a(X166) )
& ( 7 = a(X165) )
& ( X166 != X167 )
& ( X165 != X167 )
& ( X165 != X166 ) )
& ! [X168: $int,X169: $int,X170: $int] :
~ ( $less(X169,X168)
& $less(b(X169),3)
& ( 5 = b(X168) )
& ( 6 = a(X170) )
& ( 10 = a(X169) )
& ( 6 = a(X168) )
& ( X169 != X170 )
& ( X168 != X170 )
& ( X168 != X169 ) )
& ! [X171: $int,X172: $int,X173: $int,X174: $int] :
~ ( $less(X172,X171)
& ( 2 = b(X174) )
& $less(b(X172),3)
& ( 5 = b(X171) )
& ( 7 = a(X173) )
& ( 10 = a(X172) )
& ( 5 = a(X171) )
& ( X173 != X174 )
& ( X172 != X174 )
& ( X172 != X173 )
& ( X171 != X174 )
& ( X171 != X173 )
& ( X171 != X172 ) )
& ! [X175: $int,X176: $int,X177: $int] :
~ ( $less(X176,X175)
& ( 2 = b(X177) )
& $less(b(X176),3)
& ( 5 = b(X175) )
& ( 7 = a(X177) )
& ( 10 = a(X176) )
& ( 5 = a(X175) )
& ( X176 != X177 )
& ( X175 != X177 )
& ( X175 != X176 ) )
& ! [X178: $int,X179: $int,X180: $int] :
~ ( $less(X179,X178)
& ( 2 = b(X180) )
& $less(b(X179),3)
& ( 8 = a(X180) )
& ( 10 = a(X179) )
& ( 4 = a(X178) )
& ( X179 != X180 )
& ( X178 != X180 )
& ( X178 != X179 ) )
& ! [X181: $int,X182: $int,X183: $int] :
~ ( $less(X182,X181)
& ( 2 = b(X182) )
& ( 5 = b(X181) )
& ( 7 = a(X183) )
& ( 10 = a(X182) )
& ( 5 = a(X181) )
& ( X182 != X183 )
& ( X181 != X183 )
& ( X181 != X182 ) )
& ! [X184: $int,X185: $int,X186: $int] :
~ ( $less(X185,X184)
& ( 2 = b(X185) )
& ( 8 = a(X186) )
& ( 10 = a(X185) )
& ( 4 = a(X184) )
& ( X185 != X186 )
& ( X184 != X186 )
& ( X184 != X185 ) )
& ! [X187: $int,X188: $int,X189: $int] :
~ ( $less(X188,X187)
& $less(b(X188),3)
& ( 5 = b(X187) )
& ( 6 = a(X189) )
& ( 10 = a(X188) )
& ( 7 = a(X187) )
& ( X188 != X189 )
& ( X187 != X189 )
& ( X187 != X188 ) )
& ! [X190: $int,X191: $int,X192: $int] :
~ ( $less(X191,X190)
& $less(b(X191),3)
& ( 5 = b(X190) )
& ( 7 = a(X192) )
& ( 10 = a(X191) )
& ( 6 = a(X190) )
& ( X191 != X192 )
& ( X190 != X192 )
& ( X190 != X191 ) )
& ! [X193: $int,X194: $int,X195: $int,X196: $int] :
~ ( $less(X194,X193)
& ( 2 = b(X196) )
& $less(b(X194),3)
& ( 8 = a(X195) )
& ( 10 = a(X194) )
& ( 5 = a(X193) )
& ( X195 != X196 )
& ( X194 != X196 )
& ( X194 != X195 )
& ( X193 != X196 )
& ( X193 != X195 )
& ( X193 != X194 ) )
& ! [X197: $int,X198: $int,X199: $int] :
~ ( $less(X198,X197)
& ( 2 = b(X199) )
& $less(b(X198),3)
& ( 8 = a(X199) )
& ( 10 = a(X198) )
& ( 5 = a(X197) )
& ( X198 != X199 )
& ( X197 != X199 )
& ( X197 != X198 ) )
& ! [X200: $int,X201: $int,X202: $int] :
~ ( $less(X201,X200)
& ( 2 = b(X201) )
& ( 8 = a(X202) )
& ( 10 = a(X201) )
& ( 5 = a(X200) )
& ( X201 != X202 )
& ( X200 != X202 )
& ( X200 != X201 ) )
& ! [X203: $int,X204: $int,X205: $int] :
~ ( $less(X204,X203)
& ( 5 = b(X205) )
& ( 2 = b(X204) )
& ( 10 = a(X204) )
& ( 4 = a(X203) )
& ( X204 != X205 )
& ( X203 != X205 )
& ( X203 != X204 ) )
& ! [X206: $int,X207: $int,X208: $int] :
~ ( $less(X207,X206)
& $less(b(X207),3)
& ( 5 = b(X206) )
& ( 7 = a(X208) )
& ( 10 = a(X207) )
& ( 7 = a(X206) )
& ( X207 != X208 )
& ( X206 != X208 )
& ( X206 != X207 ) )
& ! [X209: $int,X210: $int,X211: $int] :
~ ( $less(X210,X209)
& $less(b(X210),3)
& ( 8 = a(X211) )
& ( 10 = a(X210) )
& ( 6 = a(X209) )
& ( X210 != X211 )
& ( X209 != X211 )
& ( X209 != X210 ) )
& ! [X212: $int,X213: $int,X214: $int,X215: $int] :
~ ( $less(X213,X212)
& ( 2 = b(X215) )
& ( 5 = b(X214) )
& $less(b(X213),3)
& ( 10 = a(X213) )
& ( 5 = a(X212) )
& ( X214 != X215 )
& ( X213 != X215 )
& ( X213 != X214 )
& ( X212 != X215 )
& ( X212 != X214 )
& ( X212 != X213 ) )
& ! [X216: $int,X217: $int,X218: $int] :
~ ( $less(X217,X216)
& ( 5 = b(X218) )
& ( 2 = b(X217) )
& ( 10 = a(X217) )
& ( 5 = a(X216) )
& ( X217 != X218 )
& ( X216 != X218 )
& ( X216 != X217 ) )
& ! [X219: $int,X220: $int,X221: $int] :
~ ( $less(X220,X219)
& $less(b(X220),3)
& ( 8 = a(X221) )
& ( 10 = a(X220) )
& ( 7 = a(X219) )
& ( X220 != X221 )
& ( X219 != X221 )
& ( X219 != X220 ) )
& ! [X222: $int,X223: $int,X224: $int] :
~ ( $less(X223,X222)
& ( 5 = b(X224) )
& $less(b(X223),3)
& ( 10 = a(X223) )
& ( 6 = a(X222) )
& ( X223 != X224 )
& ( X222 != X224 )
& ( X222 != X223 ) )
& ! [X225: $int,X226: $int,X227: $int] :
~ ( $less(X226,X225)
& ( 5 = b(X227) )
& $less(b(X226),3)
& ( 10 = a(X226) )
& ( 7 = a(X225) )
& ( X226 != X227 )
& ( X225 != X227 )
& ( X225 != X226 ) )
& ! [X228: $int,X229: $int] :
~ ( $less(X229,X228)
& $less(b(X229),3)
& ( 10 = a(X229) )
& ( 8 = a(X228) )
& ( X228 != X229 ) )
& ! [X230: $int,X231: $int] :
~ ( $less(X231,X230)
& $less(b(X231),3)
& ( 10 = a(X231) )
& ( 9 = a(X230) )
& ( X230 != X231 ) )
& ! [X232: $int,X233: $int] :
~ ( ( 10 = a(X233) )
& ( 10 = a(X232) )
& ( X232 != X233 ) )
& ( z4 != z5 )
& ( z3 != z5 )
& ( z3 != z4 )
& ( z2 != z5 )
& ( z2 != z4 )
& ( z2 != z3 )
& ( z1 != z5 )
& ( z1 != z4 )
& ( z1 != z3 )
& ( z1 != z2 )
& ! [X234: $int] :
( ~ $less(5,b(X234))
& ~ $less(b(X234),1) )
& ! [X235: $int] :
( ~ $less(12,a(X235))
& ~ $less(a(X235),1) ) )
=> ~ ( $less(z2,z1)
& ( 2 = b(z4) )
& ( 5 = b(z3) )
& $less(b(z2),3)
& ( 5 = b(z1) )
& ( 7 = a(z4) )
& ( 10 = a(z2) )
& ( 5 = a(z1) ) ) ),
inference(true_and_false_elimination,[],[f16]) ).
tff(f16,plain,
~ ( ( ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X4: $int,X5: $int,X6: $int,X7: $int] :
~ ( $less(X5,X4)
& ( 5 = b(X6) )
& $less(b(X5),3)
& ( 2 = a(X7) )
& ( 10 = a(X5) )
& ( 5 = a(X4) )
& ( X6 != X7 )
& ( X5 != X7 )
& ( X5 != X6 )
& ( X4 != X7 )
& ( X4 != X6 )
& ( X4 != X5 ) )
& ! [X8: $int,X9: $int,X10: $int] :
~ ( $less(X9,X8)
& ( 2 = b(X9) )
& ( 5 = b(X8) )
& ( 4 = a(X10) )
& ( 10 = a(X9) )
& ( 12 = a(X8) )
& ( X9 != X10 )
& ( X8 != X10 )
& ( X8 != X9 ) )
& ! [X11: $int,X12: $int,X13: $int] :
~ ( $less(X12,X11)
& ( 2 = b(X12) )
& ( 5 = b(X11) )
& ( 5 = a(X13) )
& ( 10 = a(X12) )
& ( 12 = a(X11) )
& ( X12 != X13 )
& ( X11 != X13 )
& ( X11 != X12 ) )
& ! [X14: $int,X15: $int,X16: $int] :
~ ( $less(X15,X14)
& ( 2 = b(X15) )
& ( 5 = b(X14) )
& ( 4 = a(X16) )
& ( 10 = a(X15) )
& ( 1 = a(X14) )
& ( X15 != X16 )
& ( X14 != X16 )
& ( X14 != X15 ) )
& ! [X17: $int,X18: $int,X19: $int] :
~ ( $less(X18,X17)
& ( 2 = b(X18) )
& ( 5 = b(X17) )
& ( 4 = a(X19) )
& ( 10 = a(X18) )
& ( 2 = a(X17) )
& ( X18 != X19 )
& ( X17 != X19 )
& ( X17 != X18 ) )
& ! [X20: $int,X21: $int,X22: $int] :
~ ( $less(X21,X20)
& ( 2 = b(X21) )
& ( 5 = b(X20) )
& ( 6 = a(X22) )
& ( 10 = a(X21) )
& ( 12 = a(X20) )
& ( X21 != X22 )
& ( X20 != X22 )
& ( X20 != X21 ) )
& ! [X23: $int,X24: $int,X25: $int] :
~ ( $less(X24,X23)
& ( 2 = b(X24) )
& ( 5 = b(X23) )
& ( 5 = a(X25) )
& ( 10 = a(X24) )
& ( 1 = a(X23) )
& ( X24 != X25 )
& ( X23 != X25 )
& ( X23 != X24 ) )
& ! [X26: $int,X27: $int,X28: $int,X29: $int] :
~ ( $less(X27,X26)
& ( 5 = b(X29) )
& ( 2 = b(X28) )
& $less(b(X27),3)
& ( 7 = a(X28) )
& ( 10 = a(X27) )
& ( 12 = a(X26) )
& ( X28 != X29 )
& ( X27 != X29 )
& ( X27 != X28 )
& ( X26 != X29 )
& ( X26 != X28 )
& ( X26 != X27 ) )
& ! [X30: $int,X31: $int,X32: $int] :
~ ( $less(X31,X30)
& ( 2 = b(X32) )
& $less(b(X31),3)
& ( 5 = b(X30) )
& ( 7 = a(X32) )
& ( 10 = a(X31) )
& ( 12 = a(X30) )
& ( X31 != X32 )
& ( X30 != X32 )
& ( X30 != X31 ) )
& ! [X33: $int,X34: $int,X35: $int] :
~ ( $less(X34,X33)
& ( 2 = b(X34) )
& ( 5 = b(X33) )
& ( 5 = a(X35) )
& ( 10 = a(X34) )
& ( 2 = a(X33) )
& ( X34 != X35 )
& ( X33 != X35 )
& ( X33 != X34 ) )
& ! [X36: $int,X37: $int,X38: $int,X39: $int] :
~ ( $less(X37,X36)
& ( 5 = b(X39) )
& $less(b(X38),4)
& ( 2 = b(X37) )
& ( 7 = a(X38) )
& ( 10 = a(X37) )
& ( 12 = a(X36) )
& ( X38 != X39 )
& ( X37 != X39 )
& ( X37 != X38 )
& ( X36 != X39 )
& ( X36 != X38 )
& ( X36 != X37 ) )
& ! [X40: $int,X41: $int,X42: $int] :
~ ( $less(X41,X40)
& $less(b(X42),4)
& ( 2 = b(X41) )
& ( 5 = b(X40) )
& ( 7 = a(X42) )
& ( 10 = a(X41) )
& ( 12 = a(X40) )
& ( X41 != X42 )
& ( X40 != X42 )
& ( X40 != X41 ) )
& ! [X43: $int,X44: $int,X45: $int] :
~ ( $less(X44,X43)
& ( 2 = b(X44) )
& ( 5 = b(X43) )
& ( 6 = a(X45) )
& ( 10 = a(X44) )
& ( 1 = a(X43) )
& ( X44 != X45 )
& ( X43 != X45 )
& ( X43 != X44 ) )
& ! [X46: $int,X47: $int,X48: $int] :
~ ( $less(X47,X46)
& ( 2 = b(X48) )
& $less(b(X47),3)
& ( 8 = a(X48) )
& ( 10 = a(X47) )
& ( 12 = a(X46) )
& ( X47 != X48 )
& ( X46 != X48 )
& ( X46 != X47 ) )
& ! [X49: $int,X50: $int,X51: $int,X52: $int] :
~ ( $less(X50,X49)
& ( 5 = b(X52) )
& ( 2 = b(X51) )
& $less(b(X50),3)
& ( 7 = a(X51) )
& ( 10 = a(X50) )
& ( 1 = a(X49) )
& ( X51 != X52 )
& ( X50 != X52 )
& ( X50 != X51 )
& ( X49 != X52 )
& ( X49 != X51 )
& ( X49 != X50 ) )
& ! [X53: $int,X54: $int,X55: $int] :
~ ( $less(X54,X53)
& ( 2 = b(X55) )
& $less(b(X54),3)
& ( 5 = b(X53) )
& ( 7 = a(X55) )
& ( 10 = a(X54) )
& ( 1 = a(X53) )
& ( X54 != X55 )
& ( X53 != X55 )
& ( X53 != X54 ) )
& ! [X56: $int,X57: $int,X58: $int] :
~ ( $less(X57,X56)
& ( 2 = b(X57) )
& ( 5 = b(X56) )
& ( 4 = a(X58) )
& ( 10 = a(X57) )
& ( 4 = a(X56) )
& ( X57 != X58 )
& ( X56 != X58 )
& ( X56 != X57 ) )
& ! [X59: $int,X60: $int,X61: $int] :
~ ( $less(X60,X59)
& ( 2 = b(X60) )
& ( 5 = b(X59) )
& ( 6 = a(X61) )
& ( 10 = a(X60) )
& ( 2 = a(X59) )
& ( X60 != X61 )
& ( X59 != X61 )
& ( X59 != X60 ) )
& ! [X62: $int,X63: $int,X64: $int] :
~ ( $less(X63,X62)
& $less(b(X64),4)
& ( 2 = b(X63) )
& ( 8 = a(X64) )
& ( 10 = a(X63) )
& ( 12 = a(X62) )
& ( X63 != X64 )
& ( X62 != X64 )
& ( X62 != X63 ) )
& ! [X65: $int,X66: $int,X67: $int,X68: $int] :
~ ( $less(X66,X65)
& ( 5 = b(X68) )
& $less(b(X67),4)
& ( 2 = b(X66) )
& ( 7 = a(X67) )
& ( 10 = a(X66) )
& ( 1 = a(X65) )
& ( X67 != X68 )
& ( X66 != X68 )
& ( X66 != X67 )
& ( X65 != X68 )
& ( X65 != X67 )
& ( X65 != X66 ) )
& ! [X69: $int,X70: $int,X71: $int] :
~ ( $less(X70,X69)
& $less(b(X71),4)
& ( 2 = b(X70) )
& ( 5 = b(X69) )
& ( 7 = a(X71) )
& ( 10 = a(X70) )
& ( 1 = a(X69) )
& ( X70 != X71 )
& ( X69 != X71 )
& ( X69 != X70 ) )
& ! [X72: $int,X73: $int,X74: $int,X75: $int] :
~ ( $less(X73,X72)
& ( 5 = b(X75) )
& ( 2 = b(X74) )
& $less(b(X73),3)
& ( 7 = a(X74) )
& ( 10 = a(X73) )
& ( 2 = a(X72) )
& ( X74 != X75 )
& ( X73 != X75 )
& ( X73 != X74 )
& ( X72 != X75 )
& ( X72 != X74 )
& ( X72 != X73 ) )
& ! [X76: $int,X77: $int,X78: $int] :
~ ( $less(X77,X76)
& ( 2 = b(X78) )
& $less(b(X77),3)
& ( 5 = b(X76) )
& ( 7 = a(X78) )
& ( 10 = a(X77) )
& ( 2 = a(X76) )
& ( X77 != X78 )
& ( X76 != X78 )
& ( X76 != X77 ) )
& ! [X79: $int,X80: $int,X81: $int] :
~ ( $less(X80,X79)
& ( 2 = b(X81) )
& $less(b(X80),3)
& ( 8 = a(X81) )
& ( 10 = a(X80) )
& ( 1 = a(X79) )
& ( X80 != X81 )
& ( X79 != X81 )
& ( X79 != X80 ) )
& ! [X82: $int,X83: $int,X84: $int] :
~ ( $less(X83,X82)
& ( 2 = b(X83) )
& ( 5 = b(X82) )
& ( 4 = a(X84) )
& ( 10 = a(X83) )
& ( 5 = a(X82) )
& ( X83 != X84 )
& ( X82 != X84 )
& ( X82 != X83 ) )
& ! [X85: $int,X86: $int,X87: $int] :
~ ( $less(X86,X85)
& ( 2 = b(X86) )
& ( 5 = b(X85) )
& ( 5 = a(X87) )
& ( 10 = a(X86) )
& ( 4 = a(X85) )
& ( X86 != X87 )
& ( X85 != X87 )
& ( X85 != X86 ) )
& ! [X88: $int,X89: $int,X90: $int,X91: $int] :
~ ( $less(X89,X88)
& ( 5 = b(X91) )
& $less(b(X90),4)
& ( 2 = b(X89) )
& ( 7 = a(X90) )
& ( 10 = a(X89) )
& ( 2 = a(X88) )
& ( X90 != X91 )
& ( X89 != X91 )
& ( X89 != X90 )
& ( X88 != X91 )
& ( X88 != X90 )
& ( X88 != X89 ) )
& ! [X92: $int,X93: $int,X94: $int] :
~ ( $less(X93,X92)
& $less(b(X94),4)
& ( 2 = b(X93) )
& ( 5 = b(X92) )
& ( 7 = a(X94) )
& ( 10 = a(X93) )
& ( 2 = a(X92) )
& ( X93 != X94 )
& ( X92 != X94 )
& ( X92 != X93 ) )
& ! [X95: $int,X96: $int,X97: $int] :
~ ( $less(X96,X95)
& $less(b(X97),4)
& ( 2 = b(X96) )
& ( 8 = a(X97) )
& ( 10 = a(X96) )
& ( 1 = a(X95) )
& ( X96 != X97 )
& ( X95 != X97 )
& ( X95 != X96 ) )
& ! [X98: $int,X99: $int,X100: $int] :
~ ( $less(X99,X98)
& ( 2 = b(X99) )
& ( 5 = b(X98) )
& ( 4 = a(X100) )
& ( 10 = a(X99) )
& ( 6 = a(X98) )
& ( X99 != X100 )
& ( X98 != X100 )
& ( X98 != X99 ) )
& ! [X101: $int,X102: $int,X103: $int,X104: $int] :
~ ( $less(X102,X101)
& ( 2 = b(X104) )
& ( 2 = b(X103) )
& $less(b(X102),3)
& ( 5 = b(X101) )
& ( 5 = a(X103) )
& ( 10 = a(X102) )
& ( 5 = a(X101) )
& ( X103 != X104 )
& ( X102 != X104 )
& ( X102 != X103 )
& ( X101 != X104 )
& ( X101 != X103 )
& ( X101 != X102 ) )
& ! [X105: $int,X106: $int,X107: $int,X108: $int] :
~ ( $less(X106,X105)
& ( 5 = b(X108) )
& ( 2 = b(X107) )
& $less(b(X106),3)
& $less(b(X105),4)
& ( 7 = a(X107) )
& ( 10 = a(X106) )
& ( 3 = a(X105) )
& ( X107 != X108 )
& ( X106 != X108 )
& ( X106 != X107 )
& ( X105 != X108 )
& ( X105 != X107 )
& ( X105 != X106 ) )
& ! [X109: $int,X110: $int,X111: $int] :
~ ( $less(X110,X109)
& ( 2 = b(X111) )
& $less(b(X110),3)
& ( 8 = a(X111) )
& ( 10 = a(X110) )
& ( 2 = a(X109) )
& ( X110 != X111 )
& ( X109 != X111 )
& ( X109 != X110 ) )
& ! [X112: $int,X113: $int,X114: $int] :
~ ( $less(X113,X112)
& ( 2 = b(X113) )
& ( 5 = b(X112) )
& ( 5 = a(X114) )
& ( 10 = a(X113) )
& ( 5 = a(X112) )
& ( X113 != X114 )
& ( X112 != X114 )
& ( X112 != X113 ) )
& ! [X115: $int,X116: $int,X117: $int] :
~ ( $less(X116,X115)
& ( 2 = b(X116) )
& ( 5 = b(X115) )
& ( 6 = a(X117) )
& ( 10 = a(X116) )
& ( 4 = a(X115) )
& ( X116 != X117 )
& ( X115 != X117 )
& ( X115 != X116 ) )
& ! [X118: $int,X119: $int,X120: $int,X121: $int] :
~ ( $less(X119,X118)
& ( 5 = b(X121) )
& $less(b(X120),4)
& ( 2 = b(X119) )
& $less(b(X118),4)
& ( 7 = a(X120) )
& ( 10 = a(X119) )
& ( 3 = a(X118) )
& ( X120 != X121 )
& ( X119 != X121 )
& ( X119 != X120 )
& ( X118 != X121 )
& ( X118 != X120 )
& ( X118 != X119 ) )
& ! [X122: $int,X123: $int,X124: $int] :
~ ( $less(X123,X122)
& $less(b(X124),4)
& ( 2 = b(X123) )
& ( 8 = a(X124) )
& ( 10 = a(X123) )
& ( 2 = a(X122) )
& ( X123 != X124 )
& ( X122 != X124 )
& ( X122 != X123 ) )
& ! [X125: $int,X126: $int,X127: $int] :
~ ( $less(X126,X125)
& ( 2 = b(X126) )
& ( 5 = b(X125) )
& ( 4 = a(X127) )
& ( 10 = a(X126) )
& ( 7 = a(X125) )
& ( X126 != X127 )
& ( X125 != X127 )
& ( X125 != X126 ) )
& ! [X128: $int,X129: $int,X130: $int,X131: $int] :
~ ( $less(X129,X128)
& ( 2 = b(X131) )
& $less(b(X129),3)
& ( 5 = b(X128) )
& ( 5 = a(X130) )
& ( 10 = a(X129) )
& ( 6 = a(X128) )
& ( X130 != X131 )
& ( X129 != X131 )
& ( X129 != X130 )
& ( X128 != X131 )
& ( X128 != X130 )
& ( X128 != X129 ) )
& ! [X132: $int,X133: $int,X134: $int] :
~ ( $less(X133,X132)
& ( 2 = b(X133) )
& ( 5 = b(X132) )
& ( 5 = a(X134) )
& ( 10 = a(X133) )
& ( 6 = a(X132) )
& ( X133 != X134 )
& ( X132 != X134 )
& ( X132 != X133 ) )
& ! [X135: $int,X136: $int,X137: $int,X138: $int] :
~ ( $less(X136,X135)
& ( 2 = b(X138) )
& $less(b(X136),3)
& ( 5 = b(X135) )
& ( 6 = a(X137) )
& ( 10 = a(X136) )
& ( 5 = a(X135) )
& ( X137 != X138 )
& ( X136 != X138 )
& ( X136 != X137 )
& ( X135 != X138 )
& ( X135 != X137 )
& ( X135 != X136 ) )
& ! [X139: $int,X140: $int,X141: $int] :
~ ( $less(X140,X139)
& ( 2 = b(X141) )
& $less(b(X140),3)
& ( 5 = b(X139) )
& ( 6 = a(X141) )
& ( 10 = a(X140) )
& ( 5 = a(X139) )
& ( X140 != X141 )
& ( X139 != X141 )
& ( X139 != X140 ) )
& ! [X142: $int,X143: $int,X144: $int,X145: $int] :
~ ( $less(X143,X142)
& ( 5 = b(X145) )
& ( 2 = b(X144) )
& $less(b(X143),3)
& ( 7 = a(X144) )
& ( 10 = a(X143) )
& ( 4 = a(X142) )
& ( X144 != X145 )
& ( X143 != X145 )
& ( X143 != X144 )
& ( X142 != X145 )
& ( X142 != X144 )
& ( X142 != X143 ) )
& ! [X146: $int,X147: $int,X148: $int] :
~ ( $less(X147,X146)
& ( 2 = b(X148) )
& $less(b(X147),3)
& ( 5 = b(X146) )
& ( 7 = a(X148) )
& ( 10 = a(X147) )
& ( 4 = a(X146) )
& ( X147 != X148 )
& ( X146 != X148 )
& ( X146 != X147 ) )
& ! [X149: $int,X150: $int,X151: $int] :
~ ( $less(X150,X149)
& ( 2 = b(X151) )
& $less(b(X150),3)
& $less(b(X149),4)
& ( 8 = a(X151) )
& ( 10 = a(X150) )
& ( 3 = a(X149) )
& ( X150 != X151 )
& ( X149 != X151 )
& ( X149 != X150 ) )
& ! [X152: $int,X153: $int,X154: $int] :
~ ( $less(X153,X152)
& ( 2 = b(X153) )
& ( 5 = b(X152) )
& ( 6 = a(X154) )
& ( 10 = a(X153) )
& ( 5 = a(X152) )
& ( X153 != X154 )
& ( X152 != X154 )
& ( X152 != X153 ) )
& ! [X155: $int,X156: $int,X157: $int] :
~ ( $less(X156,X155)
& ( 2 = b(X156) )
& ( 5 = b(X155) )
& ( 7 = a(X157) )
& ( 10 = a(X156) )
& ( 4 = a(X155) )
& ( X156 != X157 )
& ( X155 != X157 )
& ( X155 != X156 ) )
& ! [X158: $int,X159: $int,X160: $int] :
~ ( $less(X159,X158)
& $less(b(X160),4)
& ( 2 = b(X159) )
& $less(b(X158),4)
& ( 8 = a(X160) )
& ( 10 = a(X159) )
& ( 3 = a(X158) )
& ( X159 != X160 )
& ( X158 != X160 )
& ( X158 != X159 ) )
& ! [X161: $int,X162: $int,X163: $int,X164: $int] :
~ ( $less(X162,X161)
& ( 2 = b(X164) )
& $less(b(X162),3)
& ( 5 = b(X161) )
& ( 5 = a(X163) )
& ( 10 = a(X162) )
& ( 7 = a(X161) )
& ( X163 != X164 )
& ( X162 != X164 )
& ( X162 != X163 )
& ( X161 != X164 )
& ( X161 != X163 )
& ( X161 != X162 ) )
& ! [X165: $int,X166: $int,X167: $int] :
~ ( $less(X166,X165)
& ( 2 = b(X166) )
& ( 5 = b(X165) )
& ( 5 = a(X167) )
& ( 10 = a(X166) )
& ( 7 = a(X165) )
& ( X166 != X167 )
& ( X165 != X167 )
& ( X165 != X166 ) )
& ! [X168: $int,X169: $int,X170: $int] :
~ ( $less(X169,X168)
& $less(b(X169),3)
& ( 5 = b(X168) )
& ( 6 = a(X170) )
& ( 10 = a(X169) )
& ( 6 = a(X168) )
& ( X169 != X170 )
& ( X168 != X170 )
& ( X168 != X169 ) )
& ! [X171: $int,X172: $int,X173: $int,X174: $int] :
~ ( $less(X172,X171)
& ( 2 = b(X174) )
& $less(b(X172),3)
& ( 5 = b(X171) )
& ( 7 = a(X173) )
& ( 10 = a(X172) )
& ( 5 = a(X171) )
& ( X173 != X174 )
& ( X172 != X174 )
& ( X172 != X173 )
& ( X171 != X174 )
& ( X171 != X173 )
& ( X171 != X172 ) )
& ! [X175: $int,X176: $int,X177: $int] :
~ ( $less(X176,X175)
& ( 2 = b(X177) )
& $less(b(X176),3)
& ( 5 = b(X175) )
& ( 7 = a(X177) )
& ( 10 = a(X176) )
& ( 5 = a(X175) )
& ( X176 != X177 )
& ( X175 != X177 )
& ( X175 != X176 ) )
& ! [X178: $int,X179: $int,X180: $int] :
~ ( $less(X179,X178)
& ( 2 = b(X180) )
& $less(b(X179),3)
& ( 8 = a(X180) )
& ( 10 = a(X179) )
& ( 4 = a(X178) )
& ( X179 != X180 )
& ( X178 != X180 )
& ( X178 != X179 ) )
& ! [X181: $int,X182: $int,X183: $int] :
~ ( $less(X182,X181)
& ( 2 = b(X182) )
& ( 5 = b(X181) )
& ( 7 = a(X183) )
& ( 10 = a(X182) )
& ( 5 = a(X181) )
& ( X182 != X183 )
& ( X181 != X183 )
& ( X181 != X182 ) )
& ! [X184: $int,X185: $int,X186: $int] :
~ ( $less(X185,X184)
& ( 2 = b(X185) )
& ( 8 = a(X186) )
& ( 10 = a(X185) )
& ( 4 = a(X184) )
& ( X185 != X186 )
& ( X184 != X186 )
& ( X184 != X185 ) )
& ! [X187: $int,X188: $int,X189: $int] :
~ ( $less(X188,X187)
& $less(b(X188),3)
& ( 5 = b(X187) )
& ( 6 = a(X189) )
& ( 10 = a(X188) )
& ( 7 = a(X187) )
& ( X188 != X189 )
& ( X187 != X189 )
& ( X187 != X188 ) )
& ! [X190: $int,X191: $int,X192: $int] :
~ ( $less(X191,X190)
& $less(b(X191),3)
& ( 5 = b(X190) )
& ( 7 = a(X192) )
& ( 10 = a(X191) )
& ( 6 = a(X190) )
& ( X191 != X192 )
& ( X190 != X192 )
& ( X190 != X191 ) )
& ! [X193: $int,X194: $int,X195: $int,X196: $int] :
~ ( $less(X194,X193)
& ( 2 = b(X196) )
& $less(b(X194),3)
& ( 8 = a(X195) )
& ( 10 = a(X194) )
& ( 5 = a(X193) )
& ( X195 != X196 )
& ( X194 != X196 )
& ( X194 != X195 )
& ( X193 != X196 )
& ( X193 != X195 )
& ( X193 != X194 ) )
& ! [X197: $int,X198: $int,X199: $int] :
~ ( $less(X198,X197)
& ( 2 = b(X199) )
& $less(b(X198),3)
& ( 8 = a(X199) )
& ( 10 = a(X198) )
& ( 5 = a(X197) )
& ( X198 != X199 )
& ( X197 != X199 )
& ( X197 != X198 ) )
& ! [X200: $int,X201: $int,X202: $int] :
~ ( $less(X201,X200)
& ( 2 = b(X201) )
& ( 8 = a(X202) )
& ( 10 = a(X201) )
& ( 5 = a(X200) )
& ( X201 != X202 )
& ( X200 != X202 )
& ( X200 != X201 ) )
& ! [X203: $int,X204: $int,X205: $int] :
~ ( $less(X204,X203)
& ( 5 = b(X205) )
& ( 2 = b(X204) )
& ( 10 = a(X204) )
& ( 4 = a(X203) )
& ( X204 != X205 )
& ( X203 != X205 )
& ( X203 != X204 ) )
& ! [X206: $int,X207: $int,X208: $int] :
~ ( $less(X207,X206)
& $less(b(X207),3)
& ( 5 = b(X206) )
& ( 7 = a(X208) )
& ( 10 = a(X207) )
& ( 7 = a(X206) )
& ( X207 != X208 )
& ( X206 != X208 )
& ( X206 != X207 ) )
& ! [X209: $int,X210: $int,X211: $int] :
~ ( $less(X210,X209)
& $less(b(X210),3)
& ( 8 = a(X211) )
& ( 10 = a(X210) )
& ( 6 = a(X209) )
& ( X210 != X211 )
& ( X209 != X211 )
& ( X209 != X210 ) )
& ! [X212: $int,X213: $int,X214: $int,X215: $int] :
~ ( $less(X213,X212)
& ( 2 = b(X215) )
& ( 5 = b(X214) )
& $less(b(X213),3)
& ( 10 = a(X213) )
& ( 5 = a(X212) )
& ( X214 != X215 )
& ( X213 != X215 )
& ( X213 != X214 )
& ( X212 != X215 )
& ( X212 != X214 )
& ( X212 != X213 ) )
& ! [X216: $int,X217: $int,X218: $int] :
~ ( $less(X217,X216)
& ( 5 = b(X218) )
& ( 2 = b(X217) )
& ( 10 = a(X217) )
& ( 5 = a(X216) )
& ( X217 != X218 )
& ( X216 != X218 )
& ( X216 != X217 ) )
& ! [X219: $int,X220: $int,X221: $int] :
~ ( $less(X220,X219)
& $less(b(X220),3)
& ( 8 = a(X221) )
& ( 10 = a(X220) )
& ( 7 = a(X219) )
& ( X220 != X221 )
& ( X219 != X221 )
& ( X219 != X220 ) )
& ! [X222: $int,X223: $int,X224: $int] :
~ ( $less(X223,X222)
& ( 5 = b(X224) )
& $less(b(X223),3)
& ( 10 = a(X223) )
& ( 6 = a(X222) )
& ( X223 != X224 )
& ( X222 != X224 )
& ( X222 != X223 ) )
& ! [X225: $int,X226: $int,X227: $int] :
~ ( $less(X226,X225)
& ( 5 = b(X227) )
& $less(b(X226),3)
& ( 10 = a(X226) )
& ( 7 = a(X225) )
& ( X226 != X227 )
& ( X225 != X227 )
& ( X225 != X226 ) )
& ! [X228: $int,X229: $int] :
~ ( $less(X229,X228)
& $less(b(X229),3)
& ( 10 = a(X229) )
& ( 8 = a(X228) )
& ( X228 != X229 ) )
& ! [X230: $int,X231: $int] :
~ ( $less(X231,X230)
& $less(b(X231),3)
& ( 10 = a(X231) )
& ( 9 = a(X230) )
& ( X230 != X231 ) )
& ! [X232: $int,X233: $int] :
~ ( ( 10 = a(X233) )
& ( 10 = a(X232) )
& ( X232 != X233 ) )
& ( z4 != z5 )
& ( z3 != z5 )
& ( z3 != z4 )
& ( z2 != z5 )
& ( z2 != z4 )
& ( z2 != z3 )
& ( z1 != z5 )
& ( z1 != z4 )
& ( z1 != z3 )
& ( z1 != z2 )
& $true
& ! [X234: $int] :
( ~ $less(5,b(X234))
& ~ $less(b(X234),1) )
& ! [X235: $int] :
( ~ $less(12,a(X235))
& ~ $less(a(X235),1) ) )
=> ~ ( $less(z2,z1)
& ( 2 = b(z4) )
& ( 5 = b(z3) )
& $less(b(z2),3)
& ( 5 = b(z1) )
& ( 7 = a(z4) )
& ( 10 = a(z2) )
& ( 5 = a(z1) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ( ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& $less(b(X0),4)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 3 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& $less(b(X2),4)
& ( b(X1) = 2 )
& $less(b(X0),4)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 3 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& $less(b(X0),4)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 3 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& $less(b(X0),4)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 3 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 8 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 9 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( a(X0) = 10 )
& ( X0 != X1 ) )
& ( z4 != z5 )
& ( z3 != z5 )
& ( z3 != z4 )
& ( z2 != z5 )
& ( z2 != z4 )
& ( z2 != z3 )
& ( z1 != z5 )
& ( z1 != z4 )
& ( z1 != z3 )
& ( z1 != z2 )
& $true
& ! [X0: $int] :
( ~ $less(5,b(X0))
& ~ $less(b(X0),1) )
& ! [X0: $int] :
( ~ $less(12,a(X0))
& ~ $less(a(X0),1) ) )
=> ~ ( $less(z2,z1)
& ( 2 = b(z4) )
& ( 5 = b(z3) )
& $less(b(z2),3)
& ( 5 = b(z1) )
& ( 7 = a(z4) )
& ( 10 = a(z2) )
& ( 5 = a(z1) ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& $less(b(X0),4)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 3 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& $less(b(X2),4)
& ( b(X1) = 2 )
& $less(b(X0),4)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 3 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& $less(b(X0),4)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 3 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& $less(b(X0),4)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 3 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 8 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 9 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( a(X0) = 10 )
& ( X0 != X1 ) )
& ( z4 != z5 )
& ( z3 != z5 )
& ( z3 != z4 )
& ( z2 != z5 )
& ( z2 != z4 )
& ( z2 != z3 )
& ( z1 != z5 )
& ( z1 != z4 )
& ( z1 != z3 )
& ( z1 != z2 )
& $true
& ! [X0: $int] :
( $lesseq(b(X0),5)
& $lesseq(1,b(X0)) )
& ! [X0: $int] :
( $lesseq(a(X0),12)
& $lesseq(1,a(X0)) ) )
=> ~ ( $less(z2,z1)
& ( 2 = b(z4) )
& ( 5 = b(z3) )
& $less(b(z2),3)
& ( 5 = b(z1) )
& ( 7 = a(z4) )
& ( 10 = a(z2) )
& ( 5 = a(z1) ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& $less(b(X0),4)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 3 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& $less(b(X2),4)
& ( b(X1) = 2 )
& $less(b(X0),4)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 3 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& $less(b(X0),4)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 3 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( b(X1) = 2 )
& $less(b(X0),4)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 3 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 8 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 9 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( a(X0) = 10 )
& ( X0 != X1 ) )
& ( z4 != z5 )
& ( z3 != z5 )
& ( z3 != z4 )
& ( z2 != z5 )
& ( z2 != z4 )
& ( z2 != z3 )
& ( z1 != z5 )
& ( z1 != z4 )
& ( z1 != z3 )
& ( z1 != z2 )
& $true
& ! [X0: $int] :
( $lesseq(b(X0),5)
& $lesseq(1,b(X0)) )
& ! [X0: $int] :
( $lesseq(a(X0),12)
& $lesseq(1,a(X0)) ) )
=> ~ ( $less(z2,z1)
& ( 2 = b(z4) )
& ( 5 = b(z3) )
& $less(b(z2),3)
& ( 5 = b(z1) )
& ( 7 = a(z4) )
& ( 10 = a(z2) )
& ( 5 = a(z1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).
tff(f348,plain,
z1 = z2,
inference(subsumption_resolution,[],[f347,f29]) ).
tff(f29,plain,
z2 != z4,
inference(cnf_transformation,[],[f19]) ).
tff(f347,plain,
( ( z2 = z4 )
| ( z1 = z2 ) ),
inference(subsumption_resolution,[],[f346,f111]) ).
tff(f111,plain,
$less(b(z2),3),
inference(cnf_transformation,[],[f19]) ).
tff(f346,plain,
( ~ $less(b(z2),3)
| ( z2 = z4 )
| ( z1 = z2 ) ),
inference(subsumption_resolution,[],[f345,f114]) ).
tff(f114,plain,
$less(z2,z1),
inference(cnf_transformation,[],[f19]) ).
tff(f345,plain,
( ~ $less(z2,z1)
| ~ $less(b(z2),3)
| ( z2 = z4 )
| ( z1 = z2 ) ),
inference(trivial_inequality_removal,[],[f343]) ).
tff(f343,plain,
( ( 10 != 10 )
| ~ $less(z2,z1)
| ~ $less(b(z2),3)
| ( z2 = z4 )
| ( z1 = z2 ) ),
inference(superposition,[],[f327,f108]) ).
tff(f108,plain,
10 = a(z2),
inference(cnf_transformation,[],[f19]) ).
tff(f327,plain,
! [X0: $int] :
( ( a(X0) != 10 )
| ~ $less(X0,z1)
| ~ $less(b(X0),3)
| ( z4 = X0 )
| ( z1 = X0 ) ),
inference(subsumption_resolution,[],[f326,f26]) ).
tff(f26,plain,
z1 != z4,
inference(cnf_transformation,[],[f19]) ).
tff(f326,plain,
! [X0: $int] :
( ~ $less(b(X0),3)
| ~ $less(X0,z1)
| ( a(X0) != 10 )
| ( z4 = X0 )
| ( z1 = z4 )
| ( z1 = X0 ) ),
inference(subsumption_resolution,[],[f325,f107]) ).
tff(f107,plain,
5 = a(z1),
inference(cnf_transformation,[],[f19]) ).
tff(f325,plain,
! [X0: $int] :
( ~ $less(b(X0),3)
| ~ $less(X0,z1)
| ( a(X0) != 10 )
| ( 5 != a(z1) )
| ( z4 = X0 )
| ( z1 = z4 )
| ( z1 = X0 ) ),
inference(trivial_inequality_removal,[],[f321]) ).
tff(f321,plain,
! [X0: $int] :
( ( 5 != 5 )
| ~ $less(b(X0),3)
| ~ $less(X0,z1)
| ( a(X0) != 10 )
| ( 5 != a(z1) )
| ( z4 = X0 )
| ( z1 = z4 )
| ( z1 = X0 ) ),
inference(superposition,[],[f320,f110]) ).
tff(f110,plain,
5 = b(z1),
inference(cnf_transformation,[],[f19]) ).
tff(f320,plain,
! [X0: $int,X1: $int] :
( ( 5 != b(X1) )
| ~ $less(b(X0),3)
| ~ $less(X0,X1)
| ( a(X0) != 10 )
| ( 5 != a(X1) )
| ( z4 = X0 )
| ( z4 = X1 )
| ( X0 = X1 ) ),
inference(subsumption_resolution,[],[f319,f109]) ).
tff(f109,plain,
7 = a(z4),
inference(cnf_transformation,[],[f19]) ).
tff(f319,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(b(X0),3)
| ( 5 != b(X1) )
| ( 7 != a(z4) )
| ( a(X0) != 10 )
| ( 5 != a(X1) )
| ( z4 = X0 )
| ( z4 = X1 )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f318]) ).
tff(f318,plain,
! [X0: $int,X1: $int] :
( ( 2 != 2 )
| ~ $less(X0,X1)
| ~ $less(b(X0),3)
| ( 5 != b(X1) )
| ( 7 != a(z4) )
| ( a(X0) != 10 )
| ( 5 != a(X1) )
| ( z4 = X0 )
| ( z4 = X1 )
| ( X0 = X1 ) ),
inference(superposition,[],[f53,f113]) ).
tff(f113,plain,
2 = b(z4),
inference(cnf_transformation,[],[f19]) ).
tff(f53,plain,
! [X176: $int,X177: $int,X175: $int] :
( ( 2 != b(X177) )
| ~ $less(X176,X175)
| ~ $less(b(X176),3)
| ( 5 != b(X175) )
| ( 7 != a(X177) )
| ( 10 != a(X176) )
| ( 5 != a(X175) )
| ( X176 = X177 )
| ( X175 = X177 )
| ( X175 = X176 ) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV998_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 21:17:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (12487)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (12490)WARNING: value z3 for option sas not known
% 0.14/0.39 % (12491)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (12489)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (12488)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (12492)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.39 % (12490)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (12493)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.39 % (12494)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.39 % (12488)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (12491)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (12489)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (12488)Terminated due to inappropriate strategy.
% 0.14/0.39 % (12488)------------------------------
% 0.14/0.39 % (12488)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (12491)Terminated due to inappropriate strategy.
% 0.14/0.39 % (12491)------------------------------
% 0.14/0.39 % (12491)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (12489)Terminated due to inappropriate strategy.
% 0.14/0.39 % (12489)------------------------------
% 0.14/0.39 % (12489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (12488)Termination reason: Inappropriate
% 0.14/0.39
% 0.14/0.39 % (12491)Termination reason: Inappropriate
% 0.14/0.39 % (12489)Termination reason: Inappropriate
% 0.14/0.39
% 0.14/0.39 % (12488)Memory used [KB]: 1112
% 0.14/0.39 % (12491)Memory used [KB]: 1112
% 0.14/0.39
% 0.14/0.39 % (12488)Time elapsed: 0.007 s
% 0.14/0.39 % (12491)Time elapsed: 0.007 s
% 0.14/0.39 % (12489)Memory used [KB]: 1112
% 0.14/0.39 % (12489)Time elapsed: 0.007 s
% 0.14/0.39 % (12488)Instructions burned: 13 (million)
% 0.14/0.39 % (12491)Instructions burned: 13 (million)
% 0.14/0.39 % (12489)Instructions burned: 13 (million)
% 0.14/0.39 % (12491)------------------------------
% 0.14/0.39 % (12491)------------------------------
% 0.14/0.39 % (12488)------------------------------
% 0.14/0.39 % (12488)------------------------------
% 0.14/0.39 % (12489)------------------------------
% 0.14/0.39 % (12489)------------------------------
% 0.14/0.41 % (12495)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.14/0.41 % (12496)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.14/0.41 % (12497)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.20/0.41 % (12495)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.41 % (12495)Terminated due to inappropriate strategy.
% 0.20/0.41 % (12495)------------------------------
% 0.20/0.41 % (12495)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.41 % (12495)Termination reason: Inappropriate
% 0.20/0.41
% 0.20/0.41 % (12495)Memory used [KB]: 1112
% 0.20/0.41 % (12495)Time elapsed: 0.007 s
% 0.20/0.41 % (12495)Instructions burned: 14 (million)
% 0.20/0.41 % (12495)------------------------------
% 0.20/0.41 % (12495)------------------------------
% 0.20/0.43 % (12499)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.20/0.44 % (12497)First to succeed.
% 0.20/0.45 % (12497)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12487"
% 0.20/0.45 % (12497)Refutation found. Thanks to Tanya!
% 0.20/0.45 % SZS status Theorem for theBenchmark
% 0.20/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.45 % (12497)------------------------------
% 0.20/0.45 % (12497)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.45 % (12497)Termination reason: Refutation
% 0.20/0.45
% 0.20/0.45 % (12497)Memory used [KB]: 1324
% 0.20/0.45 % (12497)Time elapsed: 0.041 s
% 0.20/0.45 % (12497)Instructions burned: 96 (million)
% 0.20/0.45 % (12487)Success in time 0.084 s
%------------------------------------------------------------------------------