TSTP Solution File: SWW004_1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW004_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 : n026.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 11:31:54 EDT 2024
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 14 unt; 7 typ; 0 def)
% Number of atoms : 6436 (5316 equ)
% Maximal formula atoms : 903 ( 183 avg)
% Number of connectives : 9770 (3369 ~;1678 |;4718 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 109 ( 25 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 6418 (1115 atm; 0 fun;3266 num;2037 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 : 2037 (2037 !; 0 ?;2037 :)
% 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(f500,plain,
$false,
inference(subsumption_resolution,[],[f499,f26]) ).
tff(f26,plain,
z1 != z4,
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( $less(z2,z1)
& ( 5 = b(z4) )
& ( 5 = b(z3) )
& $less(b(z2),3)
& ( 1 = a(z4) )
& ( 7 = a(z3) )
& ( 10 = a(z2) )
& ( 5 = a(z1) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
( ~ $less(X1,X0)
| ( 5 != b(X2) )
| ~ $less(b(X1),3)
| ( 1 != a(X3) )
| ( 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)
| ( 2 != b(X7) )
| ~ $less(b(X5),3)
| ( 5 != b(X4) )
| ( 7 != a(X6) )
| ( 10 != a(X5) )
| ( 4 != a(X4) )
| ( X6 = X7 )
| ( X5 = X7 )
| ( X5 = X6 )
| ( X4 = X7 )
| ( X4 = X6 )
| ( X4 = X5 ) )
& ! [X8: $int,X9: $int,X10: $int,X11: $int] :
( ~ $less(X9,X8)
| ( 2 != b(X11) )
| ~ $less(b(X10),4)
| ~ $less(b(X9),3)
| ~ $less(b(X8),4)
| ( 8 != a(X10) )
| ( 10 != a(X9) )
| ( 3 != a(X8) )
| ( X10 = X11 )
| ( X9 = X11 )
| ( X9 = X10 )
| ( X8 = X11 )
| ( X8 = X10 )
| ( X8 = X9 ) )
& ! [X12: $int,X13: $int,X14: $int,X15: $int] :
( ~ $less(X13,X12)
| ( 5 != b(X15) )
| ~ $less(b(X13),3)
| ( 2 != a(X15) )
| ( 7 != a(X14) )
| ( 10 != a(X13) )
| ( 5 != a(X12) )
| ( X14 = X15 )
| ( X13 = X15 )
| ( X13 = X14 )
| ( X12 = X15 )
| ( X12 = X14 )
| ( X12 = X13 ) )
& ! [X16: $int,X17: $int,X18: $int,X19: $int] :
( ~ $less(X17,X16)
| ~ $less(b(X17),3)
| ( 2 != a(X19) )
| ( 8 != a(X18) )
| ( 10 != a(X17) )
| ( 4 != a(X16) )
| ( X18 = X19 )
| ( X17 = X19 )
| ( X17 = X18 )
| ( X16 = X19 )
| ( X16 = X18 )
| ( X16 = X17 ) )
& ! [X20: $int,X21: $int,X22: $int,X23: $int] :
( ~ $less(X21,X20)
| ~ $less(b(X21),3)
| ( 1 != a(X23) )
| ( 8 != a(X22) )
| ( 10 != a(X21) )
| ( 5 != a(X20) )
| ( X22 = X23 )
| ( X21 = X23 )
| ( X21 = X22 )
| ( X20 = X23 )
| ( X20 = X22 )
| ( X20 = X21 ) )
& ! [X24: $int,X25: $int,X26: $int,X27: $int] :
( ~ $less(X25,X24)
| ( 2 != b(X27) )
| ~ $less(b(X25),3)
| ( 5 != b(X24) )
| ( 4 != a(X26) )
| ( 10 != a(X25) )
| ( 7 != a(X24) )
| ( X26 = X27 )
| ( X25 = X27 )
| ( X25 = X26 )
| ( X24 = X27 )
| ( X24 = X26 )
| ( X24 = X25 ) )
& ! [X28: $int,X29: $int,X30: $int,X31: $int] :
( ~ $less(X29,X28)
| ~ $less(b(X29),3)
| ( 5 != b(X28) )
| ( 2 != a(X31) )
| ( 5 != a(X30) )
| ( 10 != a(X29) )
| ( 7 != a(X28) )
| ( X30 = X31 )
| ( X29 = X31 )
| ( X29 = X30 )
| ( X28 = X31 )
| ( X28 = X30 )
| ( X28 = X29 ) )
& ! [X32: $int,X33: $int,X34: $int,X35: $int] :
( ~ $less(X33,X32)
| ~ $less(b(X33),3)
| ( 5 != b(X32) )
| ( 2 != a(X35) )
| ( 7 != a(X34) )
| ( 10 != a(X33) )
| ( 5 != a(X32) )
| ( X34 = X35 )
| ( X33 = X35 )
| ( X33 = X34 )
| ( X32 = X35 )
| ( X32 = X34 )
| ( X32 = X33 ) )
& ! [X36: $int,X37: $int,X38: $int,X39: $int] :
( ~ $less(X37,X36)
| ( 5 != b(X38) )
| ~ $less(b(X37),3)
| ( 2 != a(X39) )
| ( 10 != a(X37) )
| ( 4 != a(X36) )
| ( X38 = X39 )
| ( X37 = X39 )
| ( X37 = X38 )
| ( X36 = X39 )
| ( X36 = X38 )
| ( X36 = X37 ) )
& ! [X40: $int,X41: $int,X42: $int,X43: $int] :
( ~ $less(X41,X40)
| ( 5 != b(X42) )
| ~ $less(b(X41),3)
| ( 1 != a(X43) )
| ( 10 != a(X41) )
| ( 5 != a(X40) )
| ( X42 = X43 )
| ( X41 = X43 )
| ( X41 = X42 )
| ( X40 = X43 )
| ( X40 = X42 )
| ( X40 = X41 ) )
& ! [X44: $int,X45: $int,X46: $int,X47: $int] :
( ~ $less(X45,X44)
| ( 2 != b(X47) )
| ~ $less(b(X45),3)
| ( 8 != a(X46) )
| ( 10 != a(X45) )
| ( 4 != a(X44) )
| ( X46 = X47 )
| ( X45 = X47 )
| ( X45 = X46 )
| ( X44 = X47 )
| ( X44 = X46 )
| ( X44 = X45 ) )
& ! [X48: $int,X49: $int,X50: $int,X51: $int] :
( ~ $less(X49,X48)
| ~ $less(b(X49),3)
| ( 2 != a(X51) )
| ( 8 != a(X50) )
| ( 10 != a(X49) )
| ( 5 != a(X48) )
| ( X50 = X51 )
| ( X49 = X51 )
| ( X49 = X50 )
| ( X48 = X51 )
| ( X48 = X50 )
| ( X48 = X49 ) )
& ! [X52: $int,X53: $int,X54: $int,X55: $int] :
( ~ $less(X53,X52)
| ( 2 != b(X55) )
| ( 5 != b(X54) )
| ~ $less(b(X53),3)
| ( 10 != a(X53) )
| ( 4 != a(X52) )
| ( X54 = X55 )
| ( X53 = X55 )
| ( X53 = X54 )
| ( X52 = X55 )
| ( X52 = X54 )
| ( X52 = X53 ) )
& ! [X56: $int,X57: $int,X58: $int,X59: $int] :
( ~ $less(X57,X56)
| ( 5 != b(X58) )
| ~ $less(b(X57),3)
| ( 2 != a(X59) )
| ( 10 != a(X57) )
| ( 5 != a(X56) )
| ( X58 = X59 )
| ( X57 = X59 )
| ( X57 = X58 )
| ( X56 = X59 )
| ( X56 = X58 )
| ( X56 = X57 ) )
& ! [X60: $int,X61: $int,X62: $int] :
( ~ $less(X61,X60)
| ( 2 != b(X61) )
| ( 5 != b(X60) )
| ( 4 != a(X62) )
| ( 10 != a(X61) )
| ( 12 != a(X60) )
| ( X61 = X62 )
| ( X60 = X62 )
| ( X60 = X61 ) )
& ! [X63: $int,X64: $int,X65: $int] :
( ~ $less(X64,X63)
| ( 2 != b(X64) )
| ( 5 != b(X63) )
| ( 5 != a(X65) )
| ( 10 != a(X64) )
| ( 12 != a(X63) )
| ( X64 = X65 )
| ( X63 = X65 )
| ( X63 = X64 ) )
& ! [X66: $int,X67: $int,X68: $int] :
( ~ $less(X67,X66)
| ( 2 != b(X67) )
| ( 5 != b(X66) )
| ( 4 != a(X68) )
| ( 10 != a(X67) )
| ( 1 != a(X66) )
| ( X67 = X68 )
| ( X66 = X68 )
| ( X66 = X67 ) )
& ! [X69: $int,X70: $int,X71: $int] :
( ~ $less(X70,X69)
| ( 2 != b(X70) )
| ( 5 != b(X69) )
| ( 4 != a(X71) )
| ( 10 != a(X70) )
| ( 2 != a(X69) )
| ( X70 = X71 )
| ( X69 = X71 )
| ( X69 = X70 ) )
& ! [X72: $int,X73: $int,X74: $int] :
( ~ $less(X73,X72)
| ( 2 != b(X73) )
| ( 5 != b(X72) )
| ( 6 != a(X74) )
| ( 10 != a(X73) )
| ( 12 != a(X72) )
| ( X73 = X74 )
| ( X72 = X74 )
| ( X72 = X73 ) )
& ! [X75: $int,X76: $int,X77: $int] :
( ~ $less(X76,X75)
| ( 2 != b(X76) )
| ( 5 != b(X75) )
| ( 5 != a(X77) )
| ( 10 != a(X76) )
| ( 1 != a(X75) )
| ( X76 = X77 )
| ( X75 = X77 )
| ( X75 = X76 ) )
& ! [X78: $int,X79: $int,X80: $int,X81: $int] :
( ~ $less(X79,X78)
| ( 5 != b(X81) )
| ( 2 != b(X80) )
| ~ $less(b(X79),3)
| ( 7 != a(X80) )
| ( 10 != a(X79) )
| ( 12 != a(X78) )
| ( X80 = X81 )
| ( X79 = X81 )
| ( X79 = X80 )
| ( X78 = X81 )
| ( X78 = X80 )
| ( X78 = X79 ) )
& ! [X82: $int,X83: $int,X84: $int] :
( ~ $less(X83,X82)
| ( 2 != b(X84) )
| ~ $less(b(X83),3)
| ( 5 != b(X82) )
| ( 7 != a(X84) )
| ( 10 != a(X83) )
| ( 12 != 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) )
| ( 2 != 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) )
| ( 12 != 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) )
| ( 12 != a(X92) )
| ( X93 = X94 )
| ( X92 = X94 )
| ( X92 = X93 ) )
& ! [X95: $int,X96: $int,X97: $int] :
( ~ $less(X96,X95)
| ( 2 != b(X96) )
| ( 5 != b(X95) )
| ( 6 != 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(X100) )
| ~ $less(b(X99),3)
| ( 8 != a(X100) )
| ( 10 != a(X99) )
| ( 12 != a(X98) )
| ( X99 = X100 )
| ( X98 = X100 )
| ( X98 = X99 ) )
& ! [X101: $int,X102: $int,X103: $int,X104: $int] :
( ~ $less(X102,X101)
| ( 5 != b(X104) )
| ( 2 != b(X103) )
| ~ $less(b(X102),3)
| ( 7 != a(X103) )
| ( 10 != a(X102) )
| ( 1 != a(X101) )
| ( X103 = X104 )
| ( X102 = X104 )
| ( X102 = X103 )
| ( X101 = X104 )
| ( X101 = X103 )
| ( X101 = X102 ) )
& ! [X105: $int,X106: $int,X107: $int] :
( ~ $less(X106,X105)
| ( 2 != b(X107) )
| ~ $less(b(X106),3)
| ( 5 != b(X105) )
| ( 7 != a(X107) )
| ( 10 != a(X106) )
| ( 1 != a(X105) )
| ( X106 = X107 )
| ( X105 = X107 )
| ( X105 = X106 ) )
& ! [X108: $int,X109: $int,X110: $int] :
( ~ $less(X109,X108)
| ( 2 != b(X109) )
| ( 5 != b(X108) )
| ( 4 != a(X110) )
| ( 10 != a(X109) )
| ( 4 != a(X108) )
| ( X109 = X110 )
| ( X108 = X110 )
| ( X108 = X109 ) )
& ! [X111: $int,X112: $int,X113: $int] :
( ~ $less(X112,X111)
| ( 2 != b(X112) )
| ( 5 != b(X111) )
| ( 6 != a(X113) )
| ( 10 != a(X112) )
| ( 2 != a(X111) )
| ( X112 = X113 )
| ( X111 = X113 )
| ( X111 = X112 ) )
& ! [X114: $int,X115: $int,X116: $int] :
( ~ $less(X115,X114)
| ~ $less(b(X116),4)
| ( 2 != b(X115) )
| ( 8 != a(X116) )
| ( 10 != a(X115) )
| ( 12 != a(X114) )
| ( X115 = X116 )
| ( X114 = X116 )
| ( X114 = X115 ) )
& ! [X117: $int,X118: $int,X119: $int,X120: $int] :
( ~ $less(X118,X117)
| ( 5 != b(X120) )
| ~ $less(b(X119),4)
| ( 2 != b(X118) )
| ( 7 != a(X119) )
| ( 10 != a(X118) )
| ( 1 != a(X117) )
| ( X119 = X120 )
| ( X118 = X120 )
| ( X118 = X119 )
| ( X117 = X120 )
| ( X117 = X119 )
| ( X117 = X118 ) )
& ! [X121: $int,X122: $int,X123: $int] :
( ~ $less(X122,X121)
| ~ $less(b(X123),4)
| ( 2 != b(X122) )
| ( 5 != b(X121) )
| ( 7 != a(X123) )
| ( 10 != a(X122) )
| ( 1 != a(X121) )
| ( X122 = X123 )
| ( X121 = X123 )
| ( X121 = X122 ) )
& ! [X124: $int,X125: $int,X126: $int,X127: $int] :
( ~ $less(X125,X124)
| ( 5 != b(X127) )
| ( 2 != b(X126) )
| ~ $less(b(X125),3)
| ( 7 != a(X126) )
| ( 10 != a(X125) )
| ( 2 != a(X124) )
| ( X126 = X127 )
| ( X125 = X127 )
| ( X125 = X126 )
| ( X124 = X127 )
| ( X124 = X126 )
| ( X124 = X125 ) )
& ! [X128: $int,X129: $int,X130: $int] :
( ~ $less(X129,X128)
| ( 2 != b(X130) )
| ~ $less(b(X129),3)
| ( 5 != b(X128) )
| ( 7 != a(X130) )
| ( 10 != a(X129) )
| ( 2 != a(X128) )
| ( X129 = X130 )
| ( X128 = X130 )
| ( X128 = X129 ) )
& ! [X131: $int,X132: $int,X133: $int] :
( ~ $less(X132,X131)
| ( 2 != b(X133) )
| ~ $less(b(X132),3)
| ( 8 != a(X133) )
| ( 10 != a(X132) )
| ( 1 != a(X131) )
| ( X132 = X133 )
| ( X131 = X133 )
| ( X131 = X132 ) )
& ! [X134: $int,X135: $int,X136: $int] :
( ~ $less(X135,X134)
| ( 2 != b(X135) )
| ( 5 != b(X134) )
| ( 4 != a(X136) )
| ( 10 != a(X135) )
| ( 5 != a(X134) )
| ( X135 = X136 )
| ( X134 = X136 )
| ( X134 = X135 ) )
& ! [X137: $int,X138: $int,X139: $int] :
( ~ $less(X138,X137)
| ( 2 != b(X138) )
| ( 5 != b(X137) )
| ( 5 != a(X139) )
| ( 10 != a(X138) )
| ( 4 != a(X137) )
| ( X138 = X139 )
| ( X137 = X139 )
| ( X137 = X138 ) )
& ! [X140: $int,X141: $int,X142: $int,X143: $int] :
( ~ $less(X141,X140)
| ( 5 != b(X143) )
| ~ $less(b(X142),4)
| ( 2 != b(X141) )
| ( 7 != a(X142) )
| ( 10 != a(X141) )
| ( 2 != a(X140) )
| ( X142 = X143 )
| ( X141 = X143 )
| ( X141 = X142 )
| ( X140 = X143 )
| ( X140 = X142 )
| ( X140 = X141 ) )
& ! [X144: $int,X145: $int,X146: $int] :
( ~ $less(X145,X144)
| ~ $less(b(X146),4)
| ( 2 != b(X145) )
| ( 5 != b(X144) )
| ( 7 != a(X146) )
| ( 10 != a(X145) )
| ( 2 != a(X144) )
| ( X145 = X146 )
| ( X144 = X146 )
| ( X144 = X145 ) )
& ! [X147: $int,X148: $int,X149: $int] :
( ~ $less(X148,X147)
| ~ $less(b(X149),4)
| ( 2 != b(X148) )
| ( 8 != a(X149) )
| ( 10 != a(X148) )
| ( 1 != a(X147) )
| ( X148 = X149 )
| ( X147 = X149 )
| ( X147 = X148 ) )
& ! [X150: $int,X151: $int,X152: $int] :
( ~ $less(X151,X150)
| ( 2 != b(X151) )
| ( 5 != b(X150) )
| ( 4 != a(X152) )
| ( 10 != a(X151) )
| ( 6 != a(X150) )
| ( X151 = X152 )
| ( X150 = X152 )
| ( X150 = X151 ) )
& ! [X153: $int,X154: $int,X155: $int,X156: $int] :
( ~ $less(X154,X153)
| ( 2 != b(X156) )
| ( 2 != b(X155) )
| ~ $less(b(X154),3)
| ( 5 != b(X153) )
| ( 5 != a(X155) )
| ( 10 != a(X154) )
| ( 5 != a(X153) )
| ( X155 = X156 )
| ( X154 = X156 )
| ( X154 = X155 )
| ( X153 = X156 )
| ( X153 = X155 )
| ( X153 = X154 ) )
& ! [X157: $int,X158: $int,X159: $int,X160: $int] :
( ~ $less(X158,X157)
| ( 5 != b(X160) )
| ( 2 != b(X159) )
| ~ $less(b(X158),3)
| ~ $less(b(X157),4)
| ( 7 != a(X159) )
| ( 10 != a(X158) )
| ( 3 != a(X157) )
| ( X159 = X160 )
| ( X158 = X160 )
| ( X158 = X159 )
| ( X157 = X160 )
| ( X157 = X159 )
| ( X157 = X158 ) )
& ! [X161: $int,X162: $int,X163: $int] :
( ~ $less(X162,X161)
| ( 2 != b(X163) )
| ~ $less(b(X162),3)
| ( 8 != a(X163) )
| ( 10 != a(X162) )
| ( 2 != a(X161) )
| ( X162 = X163 )
| ( X161 = X163 )
| ( X161 = X162 ) )
& ! [X164: $int,X165: $int,X166: $int] :
( ~ $less(X165,X164)
| ( 2 != b(X165) )
| ( 5 != b(X164) )
| ( 5 != a(X166) )
| ( 10 != a(X165) )
| ( 5 != a(X164) )
| ( X165 = X166 )
| ( X164 = X166 )
| ( X164 = X165 ) )
& ! [X167: $int,X168: $int,X169: $int] :
( ~ $less(X168,X167)
| ( 2 != b(X168) )
| ( 5 != b(X167) )
| ( 6 != a(X169) )
| ( 10 != a(X168) )
| ( 4 != a(X167) )
| ( X168 = X169 )
| ( X167 = X169 )
| ( X167 = X168 ) )
& ! [X170: $int,X171: $int,X172: $int,X173: $int] :
( ~ $less(X171,X170)
| ( 5 != b(X173) )
| ~ $less(b(X172),4)
| ( 2 != b(X171) )
| ~ $less(b(X170),4)
| ( 7 != a(X172) )
| ( 10 != a(X171) )
| ( 3 != a(X170) )
| ( X172 = X173 )
| ( X171 = X173 )
| ( X171 = X172 )
| ( X170 = X173 )
| ( X170 = X172 )
| ( X170 = X171 ) )
& ! [X174: $int,X175: $int,X176: $int] :
( ~ $less(X175,X174)
| ~ $less(b(X176),4)
| ( 2 != b(X175) )
| ( 8 != a(X176) )
| ( 10 != a(X175) )
| ( 2 != a(X174) )
| ( X175 = X176 )
| ( X174 = X176 )
| ( X174 = X175 ) )
& ! [X177: $int,X178: $int,X179: $int] :
( ~ $less(X178,X177)
| ( 2 != b(X178) )
| ( 5 != b(X177) )
| ( 4 != a(X179) )
| ( 10 != a(X178) )
| ( 7 != a(X177) )
| ( X178 = X179 )
| ( X177 = X179 )
| ( X177 = X178 ) )
& ! [X180: $int,X181: $int,X182: $int,X183: $int] :
( ~ $less(X181,X180)
| ( 2 != b(X183) )
| ~ $less(b(X181),3)
| ( 5 != b(X180) )
| ( 5 != a(X182) )
| ( 10 != a(X181) )
| ( 6 != a(X180) )
| ( X182 = X183 )
| ( X181 = X183 )
| ( X181 = X182 )
| ( X180 = X183 )
| ( X180 = X182 )
| ( X180 = X181 ) )
& ! [X184: $int,X185: $int,X186: $int] :
( ~ $less(X185,X184)
| ( 2 != b(X185) )
| ( 5 != b(X184) )
| ( 5 != a(X186) )
| ( 10 != a(X185) )
| ( 6 != a(X184) )
| ( X185 = X186 )
| ( X184 = X186 )
| ( X184 = X185 ) )
& ! [X187: $int,X188: $int,X189: $int,X190: $int] :
( ~ $less(X188,X187)
| ( 2 != b(X190) )
| ~ $less(b(X188),3)
| ( 5 != b(X187) )
| ( 6 != a(X189) )
| ( 10 != a(X188) )
| ( 5 != a(X187) )
| ( X189 = X190 )
| ( X188 = X190 )
| ( X188 = X189 )
| ( X187 = X190 )
| ( X187 = X189 )
| ( X187 = X188 ) )
& ! [X191: $int,X192: $int,X193: $int] :
( ~ $less(X192,X191)
| ( 2 != b(X193) )
| ~ $less(b(X192),3)
| ( 5 != b(X191) )
| ( 6 != a(X193) )
| ( 10 != a(X192) )
| ( 5 != a(X191) )
| ( X192 = X193 )
| ( X191 = X193 )
| ( X191 = X192 ) )
& ! [X194: $int,X195: $int,X196: $int,X197: $int] :
( ~ $less(X195,X194)
| ( 5 != b(X197) )
| ( 2 != b(X196) )
| ~ $less(b(X195),3)
| ( 7 != a(X196) )
| ( 10 != a(X195) )
| ( 4 != a(X194) )
| ( X196 = X197 )
| ( X195 = X197 )
| ( X195 = X196 )
| ( X194 = X197 )
| ( X194 = X196 )
| ( X194 = X195 ) )
& ! [X198: $int,X199: $int,X200: $int] :
( ~ $less(X199,X198)
| ( 2 != b(X200) )
| ~ $less(b(X199),3)
| ( 5 != b(X198) )
| ( 7 != a(X200) )
| ( 10 != a(X199) )
| ( 4 != a(X198) )
| ( X199 = X200 )
| ( X198 = X200 )
| ( X198 = X199 ) )
& ! [X201: $int,X202: $int,X203: $int] :
( ~ $less(X202,X201)
| ( 2 != b(X203) )
| ~ $less(b(X202),3)
| ~ $less(b(X201),4)
| ( 8 != a(X203) )
| ( 10 != a(X202) )
| ( 3 != a(X201) )
| ( X202 = X203 )
| ( X201 = X203 )
| ( X201 = X202 ) )
& ! [X204: $int,X205: $int,X206: $int] :
( ~ $less(X205,X204)
| ( 2 != b(X205) )
| ( 5 != b(X204) )
| ( 6 != a(X206) )
| ( 10 != a(X205) )
| ( 5 != a(X204) )
| ( X205 = X206 )
| ( X204 = X206 )
| ( X204 = X205 ) )
& ! [X207: $int,X208: $int,X209: $int] :
( ~ $less(X208,X207)
| ( 2 != b(X208) )
| ( 5 != b(X207) )
| ( 7 != a(X209) )
| ( 10 != a(X208) )
| ( 4 != a(X207) )
| ( X208 = X209 )
| ( X207 = X209 )
| ( X207 = X208 ) )
& ! [X210: $int,X211: $int,X212: $int] :
( ~ $less(X211,X210)
| ~ $less(b(X212),4)
| ( 2 != b(X211) )
| ~ $less(b(X210),4)
| ( 8 != a(X212) )
| ( 10 != a(X211) )
| ( 3 != a(X210) )
| ( X211 = X212 )
| ( X210 = X212 )
| ( X210 = X211 ) )
& ! [X213: $int,X214: $int,X215: $int,X216: $int] :
( ~ $less(X214,X213)
| ( 2 != b(X216) )
| ~ $less(b(X214),3)
| ( 5 != b(X213) )
| ( 5 != a(X215) )
| ( 10 != a(X214) )
| ( 7 != a(X213) )
| ( X215 = X216 )
| ( X214 = X216 )
| ( X214 = X215 )
| ( X213 = X216 )
| ( X213 = X215 )
| ( X213 = X214 ) )
& ! [X217: $int,X218: $int,X219: $int] :
( ~ $less(X218,X217)
| ( 2 != b(X218) )
| ( 5 != b(X217) )
| ( 5 != a(X219) )
| ( 10 != a(X218) )
| ( 7 != a(X217) )
| ( X218 = X219 )
| ( X217 = X219 )
| ( X217 = X218 ) )
& ! [X220: $int,X221: $int,X222: $int] :
( ~ $less(X221,X220)
| ~ $less(b(X221),3)
| ( 5 != b(X220) )
| ( 6 != a(X222) )
| ( 10 != a(X221) )
| ( 6 != a(X220) )
| ( X221 = X222 )
| ( X220 = X222 )
| ( X220 = X221 ) )
& ! [X223: $int,X224: $int,X225: $int,X226: $int] :
( ~ $less(X224,X223)
| ( 2 != b(X226) )
| ~ $less(b(X224),3)
| ( 5 != b(X223) )
| ( 7 != a(X225) )
| ( 10 != a(X224) )
| ( 5 != a(X223) )
| ( X225 = X226 )
| ( X224 = X226 )
| ( X224 = X225 )
| ( X223 = X226 )
| ( X223 = X225 )
| ( X223 = X224 ) )
& ! [X227: $int,X228: $int,X229: $int] :
( ~ $less(X228,X227)
| ( 2 != b(X229) )
| ~ $less(b(X228),3)
| ( 5 != b(X227) )
| ( 7 != a(X229) )
| ( 10 != a(X228) )
| ( 5 != a(X227) )
| ( X228 = X229 )
| ( X227 = X229 )
| ( X227 = X228 ) )
& ! [X230: $int,X231: $int,X232: $int] :
( ~ $less(X231,X230)
| ( 2 != b(X232) )
| ~ $less(b(X231),3)
| ( 8 != a(X232) )
| ( 10 != a(X231) )
| ( 4 != a(X230) )
| ( X231 = X232 )
| ( X230 = X232 )
| ( X230 = X231 ) )
& ! [X233: $int,X234: $int,X235: $int] :
( ~ $less(X234,X233)
| ( 2 != b(X234) )
| ( 5 != b(X233) )
| ( 7 != a(X235) )
| ( 10 != a(X234) )
| ( 5 != a(X233) )
| ( X234 = X235 )
| ( X233 = X235 )
| ( X233 = X234 ) )
& ! [X236: $int,X237: $int,X238: $int] :
( ~ $less(X237,X236)
| ( 2 != b(X237) )
| ( 8 != a(X238) )
| ( 10 != a(X237) )
| ( 4 != a(X236) )
| ( X237 = X238 )
| ( X236 = X238 )
| ( X236 = X237 ) )
& ! [X239: $int,X240: $int,X241: $int] :
( ~ $less(X240,X239)
| ~ $less(b(X240),3)
| ( 5 != b(X239) )
| ( 6 != a(X241) )
| ( 10 != a(X240) )
| ( 7 != a(X239) )
| ( X240 = X241 )
| ( X239 = X241 )
| ( X239 = X240 ) )
& ! [X242: $int,X243: $int,X244: $int] :
( ~ $less(X243,X242)
| ~ $less(b(X243),3)
| ( 5 != b(X242) )
| ( 7 != a(X244) )
| ( 10 != a(X243) )
| ( 6 != a(X242) )
| ( X243 = X244 )
| ( X242 = X244 )
| ( X242 = X243 ) )
& ! [X245: $int,X246: $int,X247: $int,X248: $int] :
( ~ $less(X246,X245)
| ( 2 != b(X248) )
| ~ $less(b(X246),3)
| ( 8 != a(X247) )
| ( 10 != a(X246) )
| ( 5 != a(X245) )
| ( X247 = X248 )
| ( X246 = X248 )
| ( X246 = X247 )
| ( X245 = X248 )
| ( X245 = X247 )
| ( X245 = X246 ) )
& ! [X249: $int,X250: $int,X251: $int] :
( ~ $less(X250,X249)
| ( 2 != b(X251) )
| ~ $less(b(X250),3)
| ( 8 != a(X251) )
| ( 10 != a(X250) )
| ( 5 != a(X249) )
| ( X250 = X251 )
| ( X249 = X251 )
| ( X249 = X250 ) )
& ! [X252: $int,X253: $int,X254: $int] :
( ~ $less(X253,X252)
| ( 2 != b(X253) )
| ( 8 != a(X254) )
| ( 10 != a(X253) )
| ( 5 != a(X252) )
| ( X253 = X254 )
| ( X252 = X254 )
| ( X252 = X253 ) )
& ! [X255: $int,X256: $int,X257: $int] :
( ~ $less(X256,X255)
| ( 5 != b(X257) )
| ( 2 != b(X256) )
| ( 10 != a(X256) )
| ( 4 != a(X255) )
| ( X256 = X257 )
| ( X255 = X257 )
| ( X255 = X256 ) )
& ! [X258: $int,X259: $int,X260: $int] :
( ~ $less(X259,X258)
| ~ $less(b(X259),3)
| ( 5 != b(X258) )
| ( 7 != a(X260) )
| ( 10 != a(X259) )
| ( 7 != a(X258) )
| ( X259 = X260 )
| ( X258 = X260 )
| ( X258 = X259 ) )
& ! [X261: $int,X262: $int,X263: $int] :
( ~ $less(X262,X261)
| ~ $less(b(X262),3)
| ( 8 != a(X263) )
| ( 10 != a(X262) )
| ( 6 != a(X261) )
| ( X262 = X263 )
| ( X261 = X263 )
| ( X261 = X262 ) )
& ! [X264: $int,X265: $int,X266: $int,X267: $int] :
( ~ $less(X265,X264)
| ( 2 != b(X267) )
| ( 5 != b(X266) )
| ~ $less(b(X265),3)
| ( 10 != a(X265) )
| ( 5 != a(X264) )
| ( X266 = X267 )
| ( X265 = X267 )
| ( X265 = X266 )
| ( X264 = X267 )
| ( X264 = X266 )
| ( X264 = X265 ) )
& ! [X268: $int,X269: $int,X270: $int] :
( ~ $less(X269,X268)
| ( 5 != b(X270) )
| ( 2 != b(X269) )
| ( 10 != a(X269) )
| ( 5 != a(X268) )
| ( X269 = X270 )
| ( X268 = X270 )
| ( X268 = X269 ) )
& ! [X271: $int,X272: $int,X273: $int] :
( ~ $less(X272,X271)
| ~ $less(b(X272),3)
| ( 8 != a(X273) )
| ( 10 != a(X272) )
| ( 7 != a(X271) )
| ( X272 = X273 )
| ( X271 = X273 )
| ( X271 = X272 ) )
& ! [X274: $int,X275: $int,X276: $int] :
( ~ $less(X275,X274)
| ( 5 != b(X276) )
| ~ $less(b(X275),3)
| ( 10 != a(X275) )
| ( 6 != a(X274) )
| ( X275 = X276 )
| ( X274 = X276 )
| ( X274 = X275 ) )
& ! [X277: $int,X278: $int,X279: $int] :
( ~ $less(X278,X277)
| ( 5 != b(X279) )
| ~ $less(b(X278),3)
| ( 10 != a(X278) )
| ( 7 != a(X277) )
| ( X278 = X279 )
| ( X277 = X279 )
| ( X277 = X278 ) )
& ! [X280: $int,X281: $int] :
( ~ $less(X281,X280)
| ~ $less(b(X281),3)
| ( 10 != a(X281) )
| ( 8 != a(X280) )
| ( X280 = X281 ) )
& ! [X282: $int,X283: $int] :
( ~ $less(X283,X282)
| ~ $less(b(X283),3)
| ( 10 != a(X283) )
| ( 9 != a(X282) )
| ( X282 = X283 ) )
& ! [X284: $int,X285: $int] :
( ( 10 != a(X285) )
| ( 10 != a(X284) )
| ( X284 = X285 ) )
& ( z4 != z5 )
& ( z3 != z5 )
& ( z3 != z4 )
& ( z2 != z5 )
& ( z2 != z4 )
& ( z2 != z3 )
& ( z1 != z5 )
& ( z1 != z4 )
& ( z1 != z3 )
& ( z1 != z2 )
& ! [X286: $int] :
( ~ $less(5,b(X286))
& ~ $less(b(X286),1) )
& ! [X287: $int] :
( ~ $less(12,a(X287))
& ~ $less(a(X287),1) ) ),
inference(flattening,[],[f18]) ).
tff(f18,plain,
( $less(z2,z1)
& ( 5 = b(z4) )
& ( 5 = b(z3) )
& $less(b(z2),3)
& ( 1 = a(z4) )
& ( 7 = a(z3) )
& ( 10 = a(z2) )
& ( 5 = a(z1) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
( ~ $less(X1,X0)
| ( 5 != b(X2) )
| ~ $less(b(X1),3)
| ( 1 != a(X3) )
| ( 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)
| ( 2 != b(X7) )
| ~ $less(b(X5),3)
| ( 5 != b(X4) )
| ( 7 != a(X6) )
| ( 10 != a(X5) )
| ( 4 != a(X4) )
| ( X6 = X7 )
| ( X5 = X7 )
| ( X5 = X6 )
| ( X4 = X7 )
| ( X4 = X6 )
| ( X4 = X5 ) )
& ! [X8: $int,X9: $int,X10: $int,X11: $int] :
( ~ $less(X9,X8)
| ( 2 != b(X11) )
| ~ $less(b(X10),4)
| ~ $less(b(X9),3)
| ~ $less(b(X8),4)
| ( 8 != a(X10) )
| ( 10 != a(X9) )
| ( 3 != a(X8) )
| ( X10 = X11 )
| ( X9 = X11 )
| ( X9 = X10 )
| ( X8 = X11 )
| ( X8 = X10 )
| ( X8 = X9 ) )
& ! [X12: $int,X13: $int,X14: $int,X15: $int] :
( ~ $less(X13,X12)
| ( 5 != b(X15) )
| ~ $less(b(X13),3)
| ( 2 != a(X15) )
| ( 7 != a(X14) )
| ( 10 != a(X13) )
| ( 5 != a(X12) )
| ( X14 = X15 )
| ( X13 = X15 )
| ( X13 = X14 )
| ( X12 = X15 )
| ( X12 = X14 )
| ( X12 = X13 ) )
& ! [X16: $int,X17: $int,X18: $int,X19: $int] :
( ~ $less(X17,X16)
| ~ $less(b(X17),3)
| ( 2 != a(X19) )
| ( 8 != a(X18) )
| ( 10 != a(X17) )
| ( 4 != a(X16) )
| ( X18 = X19 )
| ( X17 = X19 )
| ( X17 = X18 )
| ( X16 = X19 )
| ( X16 = X18 )
| ( X16 = X17 ) )
& ! [X20: $int,X21: $int,X22: $int,X23: $int] :
( ~ $less(X21,X20)
| ~ $less(b(X21),3)
| ( 1 != a(X23) )
| ( 8 != a(X22) )
| ( 10 != a(X21) )
| ( 5 != a(X20) )
| ( X22 = X23 )
| ( X21 = X23 )
| ( X21 = X22 )
| ( X20 = X23 )
| ( X20 = X22 )
| ( X20 = X21 ) )
& ! [X24: $int,X25: $int,X26: $int,X27: $int] :
( ~ $less(X25,X24)
| ( 2 != b(X27) )
| ~ $less(b(X25),3)
| ( 5 != b(X24) )
| ( 4 != a(X26) )
| ( 10 != a(X25) )
| ( 7 != a(X24) )
| ( X26 = X27 )
| ( X25 = X27 )
| ( X25 = X26 )
| ( X24 = X27 )
| ( X24 = X26 )
| ( X24 = X25 ) )
& ! [X28: $int,X29: $int,X30: $int,X31: $int] :
( ~ $less(X29,X28)
| ~ $less(b(X29),3)
| ( 5 != b(X28) )
| ( 2 != a(X31) )
| ( 5 != a(X30) )
| ( 10 != a(X29) )
| ( 7 != a(X28) )
| ( X30 = X31 )
| ( X29 = X31 )
| ( X29 = X30 )
| ( X28 = X31 )
| ( X28 = X30 )
| ( X28 = X29 ) )
& ! [X32: $int,X33: $int,X34: $int,X35: $int] :
( ~ $less(X33,X32)
| ~ $less(b(X33),3)
| ( 5 != b(X32) )
| ( 2 != a(X35) )
| ( 7 != a(X34) )
| ( 10 != a(X33) )
| ( 5 != a(X32) )
| ( X34 = X35 )
| ( X33 = X35 )
| ( X33 = X34 )
| ( X32 = X35 )
| ( X32 = X34 )
| ( X32 = X33 ) )
& ! [X36: $int,X37: $int,X38: $int,X39: $int] :
( ~ $less(X37,X36)
| ( 5 != b(X38) )
| ~ $less(b(X37),3)
| ( 2 != a(X39) )
| ( 10 != a(X37) )
| ( 4 != a(X36) )
| ( X38 = X39 )
| ( X37 = X39 )
| ( X37 = X38 )
| ( X36 = X39 )
| ( X36 = X38 )
| ( X36 = X37 ) )
& ! [X40: $int,X41: $int,X42: $int,X43: $int] :
( ~ $less(X41,X40)
| ( 5 != b(X42) )
| ~ $less(b(X41),3)
| ( 1 != a(X43) )
| ( 10 != a(X41) )
| ( 5 != a(X40) )
| ( X42 = X43 )
| ( X41 = X43 )
| ( X41 = X42 )
| ( X40 = X43 )
| ( X40 = X42 )
| ( X40 = X41 ) )
& ! [X44: $int,X45: $int,X46: $int,X47: $int] :
( ~ $less(X45,X44)
| ( 2 != b(X47) )
| ~ $less(b(X45),3)
| ( 8 != a(X46) )
| ( 10 != a(X45) )
| ( 4 != a(X44) )
| ( X46 = X47 )
| ( X45 = X47 )
| ( X45 = X46 )
| ( X44 = X47 )
| ( X44 = X46 )
| ( X44 = X45 ) )
& ! [X48: $int,X49: $int,X50: $int,X51: $int] :
( ~ $less(X49,X48)
| ~ $less(b(X49),3)
| ( 2 != a(X51) )
| ( 8 != a(X50) )
| ( 10 != a(X49) )
| ( 5 != a(X48) )
| ( X50 = X51 )
| ( X49 = X51 )
| ( X49 = X50 )
| ( X48 = X51 )
| ( X48 = X50 )
| ( X48 = X49 ) )
& ! [X52: $int,X53: $int,X54: $int,X55: $int] :
( ~ $less(X53,X52)
| ( 2 != b(X55) )
| ( 5 != b(X54) )
| ~ $less(b(X53),3)
| ( 10 != a(X53) )
| ( 4 != a(X52) )
| ( X54 = X55 )
| ( X53 = X55 )
| ( X53 = X54 )
| ( X52 = X55 )
| ( X52 = X54 )
| ( X52 = X53 ) )
& ! [X56: $int,X57: $int,X58: $int,X59: $int] :
( ~ $less(X57,X56)
| ( 5 != b(X58) )
| ~ $less(b(X57),3)
| ( 2 != a(X59) )
| ( 10 != a(X57) )
| ( 5 != a(X56) )
| ( X58 = X59 )
| ( X57 = X59 )
| ( X57 = X58 )
| ( X56 = X59 )
| ( X56 = X58 )
| ( X56 = X57 ) )
& ! [X60: $int,X61: $int,X62: $int] :
( ~ $less(X61,X60)
| ( 2 != b(X61) )
| ( 5 != b(X60) )
| ( 4 != a(X62) )
| ( 10 != a(X61) )
| ( 12 != a(X60) )
| ( X61 = X62 )
| ( X60 = X62 )
| ( X60 = X61 ) )
& ! [X63: $int,X64: $int,X65: $int] :
( ~ $less(X64,X63)
| ( 2 != b(X64) )
| ( 5 != b(X63) )
| ( 5 != a(X65) )
| ( 10 != a(X64) )
| ( 12 != a(X63) )
| ( X64 = X65 )
| ( X63 = X65 )
| ( X63 = X64 ) )
& ! [X66: $int,X67: $int,X68: $int] :
( ~ $less(X67,X66)
| ( 2 != b(X67) )
| ( 5 != b(X66) )
| ( 4 != a(X68) )
| ( 10 != a(X67) )
| ( 1 != a(X66) )
| ( X67 = X68 )
| ( X66 = X68 )
| ( X66 = X67 ) )
& ! [X69: $int,X70: $int,X71: $int] :
( ~ $less(X70,X69)
| ( 2 != b(X70) )
| ( 5 != b(X69) )
| ( 4 != a(X71) )
| ( 10 != a(X70) )
| ( 2 != a(X69) )
| ( X70 = X71 )
| ( X69 = X71 )
| ( X69 = X70 ) )
& ! [X72: $int,X73: $int,X74: $int] :
( ~ $less(X73,X72)
| ( 2 != b(X73) )
| ( 5 != b(X72) )
| ( 6 != a(X74) )
| ( 10 != a(X73) )
| ( 12 != a(X72) )
| ( X73 = X74 )
| ( X72 = X74 )
| ( X72 = X73 ) )
& ! [X75: $int,X76: $int,X77: $int] :
( ~ $less(X76,X75)
| ( 2 != b(X76) )
| ( 5 != b(X75) )
| ( 5 != a(X77) )
| ( 10 != a(X76) )
| ( 1 != a(X75) )
| ( X76 = X77 )
| ( X75 = X77 )
| ( X75 = X76 ) )
& ! [X78: $int,X79: $int,X80: $int,X81: $int] :
( ~ $less(X79,X78)
| ( 5 != b(X81) )
| ( 2 != b(X80) )
| ~ $less(b(X79),3)
| ( 7 != a(X80) )
| ( 10 != a(X79) )
| ( 12 != a(X78) )
| ( X80 = X81 )
| ( X79 = X81 )
| ( X79 = X80 )
| ( X78 = X81 )
| ( X78 = X80 )
| ( X78 = X79 ) )
& ! [X82: $int,X83: $int,X84: $int] :
( ~ $less(X83,X82)
| ( 2 != b(X84) )
| ~ $less(b(X83),3)
| ( 5 != b(X82) )
| ( 7 != a(X84) )
| ( 10 != a(X83) )
| ( 12 != 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) )
| ( 2 != 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) )
| ( 12 != 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) )
| ( 12 != a(X92) )
| ( X93 = X94 )
| ( X92 = X94 )
| ( X92 = X93 ) )
& ! [X95: $int,X96: $int,X97: $int] :
( ~ $less(X96,X95)
| ( 2 != b(X96) )
| ( 5 != b(X95) )
| ( 6 != 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(X100) )
| ~ $less(b(X99),3)
| ( 8 != a(X100) )
| ( 10 != a(X99) )
| ( 12 != a(X98) )
| ( X99 = X100 )
| ( X98 = X100 )
| ( X98 = X99 ) )
& ! [X101: $int,X102: $int,X103: $int,X104: $int] :
( ~ $less(X102,X101)
| ( 5 != b(X104) )
| ( 2 != b(X103) )
| ~ $less(b(X102),3)
| ( 7 != a(X103) )
| ( 10 != a(X102) )
| ( 1 != a(X101) )
| ( X103 = X104 )
| ( X102 = X104 )
| ( X102 = X103 )
| ( X101 = X104 )
| ( X101 = X103 )
| ( X101 = X102 ) )
& ! [X105: $int,X106: $int,X107: $int] :
( ~ $less(X106,X105)
| ( 2 != b(X107) )
| ~ $less(b(X106),3)
| ( 5 != b(X105) )
| ( 7 != a(X107) )
| ( 10 != a(X106) )
| ( 1 != a(X105) )
| ( X106 = X107 )
| ( X105 = X107 )
| ( X105 = X106 ) )
& ! [X108: $int,X109: $int,X110: $int] :
( ~ $less(X109,X108)
| ( 2 != b(X109) )
| ( 5 != b(X108) )
| ( 4 != a(X110) )
| ( 10 != a(X109) )
| ( 4 != a(X108) )
| ( X109 = X110 )
| ( X108 = X110 )
| ( X108 = X109 ) )
& ! [X111: $int,X112: $int,X113: $int] :
( ~ $less(X112,X111)
| ( 2 != b(X112) )
| ( 5 != b(X111) )
| ( 6 != a(X113) )
| ( 10 != a(X112) )
| ( 2 != a(X111) )
| ( X112 = X113 )
| ( X111 = X113 )
| ( X111 = X112 ) )
& ! [X114: $int,X115: $int,X116: $int] :
( ~ $less(X115,X114)
| ~ $less(b(X116),4)
| ( 2 != b(X115) )
| ( 8 != a(X116) )
| ( 10 != a(X115) )
| ( 12 != a(X114) )
| ( X115 = X116 )
| ( X114 = X116 )
| ( X114 = X115 ) )
& ! [X117: $int,X118: $int,X119: $int,X120: $int] :
( ~ $less(X118,X117)
| ( 5 != b(X120) )
| ~ $less(b(X119),4)
| ( 2 != b(X118) )
| ( 7 != a(X119) )
| ( 10 != a(X118) )
| ( 1 != a(X117) )
| ( X119 = X120 )
| ( X118 = X120 )
| ( X118 = X119 )
| ( X117 = X120 )
| ( X117 = X119 )
| ( X117 = X118 ) )
& ! [X121: $int,X122: $int,X123: $int] :
( ~ $less(X122,X121)
| ~ $less(b(X123),4)
| ( 2 != b(X122) )
| ( 5 != b(X121) )
| ( 7 != a(X123) )
| ( 10 != a(X122) )
| ( 1 != a(X121) )
| ( X122 = X123 )
| ( X121 = X123 )
| ( X121 = X122 ) )
& ! [X124: $int,X125: $int,X126: $int,X127: $int] :
( ~ $less(X125,X124)
| ( 5 != b(X127) )
| ( 2 != b(X126) )
| ~ $less(b(X125),3)
| ( 7 != a(X126) )
| ( 10 != a(X125) )
| ( 2 != a(X124) )
| ( X126 = X127 )
| ( X125 = X127 )
| ( X125 = X126 )
| ( X124 = X127 )
| ( X124 = X126 )
| ( X124 = X125 ) )
& ! [X128: $int,X129: $int,X130: $int] :
( ~ $less(X129,X128)
| ( 2 != b(X130) )
| ~ $less(b(X129),3)
| ( 5 != b(X128) )
| ( 7 != a(X130) )
| ( 10 != a(X129) )
| ( 2 != a(X128) )
| ( X129 = X130 )
| ( X128 = X130 )
| ( X128 = X129 ) )
& ! [X131: $int,X132: $int,X133: $int] :
( ~ $less(X132,X131)
| ( 2 != b(X133) )
| ~ $less(b(X132),3)
| ( 8 != a(X133) )
| ( 10 != a(X132) )
| ( 1 != a(X131) )
| ( X132 = X133 )
| ( X131 = X133 )
| ( X131 = X132 ) )
& ! [X134: $int,X135: $int,X136: $int] :
( ~ $less(X135,X134)
| ( 2 != b(X135) )
| ( 5 != b(X134) )
| ( 4 != a(X136) )
| ( 10 != a(X135) )
| ( 5 != a(X134) )
| ( X135 = X136 )
| ( X134 = X136 )
| ( X134 = X135 ) )
& ! [X137: $int,X138: $int,X139: $int] :
( ~ $less(X138,X137)
| ( 2 != b(X138) )
| ( 5 != b(X137) )
| ( 5 != a(X139) )
| ( 10 != a(X138) )
| ( 4 != a(X137) )
| ( X138 = X139 )
| ( X137 = X139 )
| ( X137 = X138 ) )
& ! [X140: $int,X141: $int,X142: $int,X143: $int] :
( ~ $less(X141,X140)
| ( 5 != b(X143) )
| ~ $less(b(X142),4)
| ( 2 != b(X141) )
| ( 7 != a(X142) )
| ( 10 != a(X141) )
| ( 2 != a(X140) )
| ( X142 = X143 )
| ( X141 = X143 )
| ( X141 = X142 )
| ( X140 = X143 )
| ( X140 = X142 )
| ( X140 = X141 ) )
& ! [X144: $int,X145: $int,X146: $int] :
( ~ $less(X145,X144)
| ~ $less(b(X146),4)
| ( 2 != b(X145) )
| ( 5 != b(X144) )
| ( 7 != a(X146) )
| ( 10 != a(X145) )
| ( 2 != a(X144) )
| ( X145 = X146 )
| ( X144 = X146 )
| ( X144 = X145 ) )
& ! [X147: $int,X148: $int,X149: $int] :
( ~ $less(X148,X147)
| ~ $less(b(X149),4)
| ( 2 != b(X148) )
| ( 8 != a(X149) )
| ( 10 != a(X148) )
| ( 1 != a(X147) )
| ( X148 = X149 )
| ( X147 = X149 )
| ( X147 = X148 ) )
& ! [X150: $int,X151: $int,X152: $int] :
( ~ $less(X151,X150)
| ( 2 != b(X151) )
| ( 5 != b(X150) )
| ( 4 != a(X152) )
| ( 10 != a(X151) )
| ( 6 != a(X150) )
| ( X151 = X152 )
| ( X150 = X152 )
| ( X150 = X151 ) )
& ! [X153: $int,X154: $int,X155: $int,X156: $int] :
( ~ $less(X154,X153)
| ( 2 != b(X156) )
| ( 2 != b(X155) )
| ~ $less(b(X154),3)
| ( 5 != b(X153) )
| ( 5 != a(X155) )
| ( 10 != a(X154) )
| ( 5 != a(X153) )
| ( X155 = X156 )
| ( X154 = X156 )
| ( X154 = X155 )
| ( X153 = X156 )
| ( X153 = X155 )
| ( X153 = X154 ) )
& ! [X157: $int,X158: $int,X159: $int,X160: $int] :
( ~ $less(X158,X157)
| ( 5 != b(X160) )
| ( 2 != b(X159) )
| ~ $less(b(X158),3)
| ~ $less(b(X157),4)
| ( 7 != a(X159) )
| ( 10 != a(X158) )
| ( 3 != a(X157) )
| ( X159 = X160 )
| ( X158 = X160 )
| ( X158 = X159 )
| ( X157 = X160 )
| ( X157 = X159 )
| ( X157 = X158 ) )
& ! [X161: $int,X162: $int,X163: $int] :
( ~ $less(X162,X161)
| ( 2 != b(X163) )
| ~ $less(b(X162),3)
| ( 8 != a(X163) )
| ( 10 != a(X162) )
| ( 2 != a(X161) )
| ( X162 = X163 )
| ( X161 = X163 )
| ( X161 = X162 ) )
& ! [X164: $int,X165: $int,X166: $int] :
( ~ $less(X165,X164)
| ( 2 != b(X165) )
| ( 5 != b(X164) )
| ( 5 != a(X166) )
| ( 10 != a(X165) )
| ( 5 != a(X164) )
| ( X165 = X166 )
| ( X164 = X166 )
| ( X164 = X165 ) )
& ! [X167: $int,X168: $int,X169: $int] :
( ~ $less(X168,X167)
| ( 2 != b(X168) )
| ( 5 != b(X167) )
| ( 6 != a(X169) )
| ( 10 != a(X168) )
| ( 4 != a(X167) )
| ( X168 = X169 )
| ( X167 = X169 )
| ( X167 = X168 ) )
& ! [X170: $int,X171: $int,X172: $int,X173: $int] :
( ~ $less(X171,X170)
| ( 5 != b(X173) )
| ~ $less(b(X172),4)
| ( 2 != b(X171) )
| ~ $less(b(X170),4)
| ( 7 != a(X172) )
| ( 10 != a(X171) )
| ( 3 != a(X170) )
| ( X172 = X173 )
| ( X171 = X173 )
| ( X171 = X172 )
| ( X170 = X173 )
| ( X170 = X172 )
| ( X170 = X171 ) )
& ! [X174: $int,X175: $int,X176: $int] :
( ~ $less(X175,X174)
| ~ $less(b(X176),4)
| ( 2 != b(X175) )
| ( 8 != a(X176) )
| ( 10 != a(X175) )
| ( 2 != a(X174) )
| ( X175 = X176 )
| ( X174 = X176 )
| ( X174 = X175 ) )
& ! [X177: $int,X178: $int,X179: $int] :
( ~ $less(X178,X177)
| ( 2 != b(X178) )
| ( 5 != b(X177) )
| ( 4 != a(X179) )
| ( 10 != a(X178) )
| ( 7 != a(X177) )
| ( X178 = X179 )
| ( X177 = X179 )
| ( X177 = X178 ) )
& ! [X180: $int,X181: $int,X182: $int,X183: $int] :
( ~ $less(X181,X180)
| ( 2 != b(X183) )
| ~ $less(b(X181),3)
| ( 5 != b(X180) )
| ( 5 != a(X182) )
| ( 10 != a(X181) )
| ( 6 != a(X180) )
| ( X182 = X183 )
| ( X181 = X183 )
| ( X181 = X182 )
| ( X180 = X183 )
| ( X180 = X182 )
| ( X180 = X181 ) )
& ! [X184: $int,X185: $int,X186: $int] :
( ~ $less(X185,X184)
| ( 2 != b(X185) )
| ( 5 != b(X184) )
| ( 5 != a(X186) )
| ( 10 != a(X185) )
| ( 6 != a(X184) )
| ( X185 = X186 )
| ( X184 = X186 )
| ( X184 = X185 ) )
& ! [X187: $int,X188: $int,X189: $int,X190: $int] :
( ~ $less(X188,X187)
| ( 2 != b(X190) )
| ~ $less(b(X188),3)
| ( 5 != b(X187) )
| ( 6 != a(X189) )
| ( 10 != a(X188) )
| ( 5 != a(X187) )
| ( X189 = X190 )
| ( X188 = X190 )
| ( X188 = X189 )
| ( X187 = X190 )
| ( X187 = X189 )
| ( X187 = X188 ) )
& ! [X191: $int,X192: $int,X193: $int] :
( ~ $less(X192,X191)
| ( 2 != b(X193) )
| ~ $less(b(X192),3)
| ( 5 != b(X191) )
| ( 6 != a(X193) )
| ( 10 != a(X192) )
| ( 5 != a(X191) )
| ( X192 = X193 )
| ( X191 = X193 )
| ( X191 = X192 ) )
& ! [X194: $int,X195: $int,X196: $int,X197: $int] :
( ~ $less(X195,X194)
| ( 5 != b(X197) )
| ( 2 != b(X196) )
| ~ $less(b(X195),3)
| ( 7 != a(X196) )
| ( 10 != a(X195) )
| ( 4 != a(X194) )
| ( X196 = X197 )
| ( X195 = X197 )
| ( X195 = X196 )
| ( X194 = X197 )
| ( X194 = X196 )
| ( X194 = X195 ) )
& ! [X198: $int,X199: $int,X200: $int] :
( ~ $less(X199,X198)
| ( 2 != b(X200) )
| ~ $less(b(X199),3)
| ( 5 != b(X198) )
| ( 7 != a(X200) )
| ( 10 != a(X199) )
| ( 4 != a(X198) )
| ( X199 = X200 )
| ( X198 = X200 )
| ( X198 = X199 ) )
& ! [X201: $int,X202: $int,X203: $int] :
( ~ $less(X202,X201)
| ( 2 != b(X203) )
| ~ $less(b(X202),3)
| ~ $less(b(X201),4)
| ( 8 != a(X203) )
| ( 10 != a(X202) )
| ( 3 != a(X201) )
| ( X202 = X203 )
| ( X201 = X203 )
| ( X201 = X202 ) )
& ! [X204: $int,X205: $int,X206: $int] :
( ~ $less(X205,X204)
| ( 2 != b(X205) )
| ( 5 != b(X204) )
| ( 6 != a(X206) )
| ( 10 != a(X205) )
| ( 5 != a(X204) )
| ( X205 = X206 )
| ( X204 = X206 )
| ( X204 = X205 ) )
& ! [X207: $int,X208: $int,X209: $int] :
( ~ $less(X208,X207)
| ( 2 != b(X208) )
| ( 5 != b(X207) )
| ( 7 != a(X209) )
| ( 10 != a(X208) )
| ( 4 != a(X207) )
| ( X208 = X209 )
| ( X207 = X209 )
| ( X207 = X208 ) )
& ! [X210: $int,X211: $int,X212: $int] :
( ~ $less(X211,X210)
| ~ $less(b(X212),4)
| ( 2 != b(X211) )
| ~ $less(b(X210),4)
| ( 8 != a(X212) )
| ( 10 != a(X211) )
| ( 3 != a(X210) )
| ( X211 = X212 )
| ( X210 = X212 )
| ( X210 = X211 ) )
& ! [X213: $int,X214: $int,X215: $int,X216: $int] :
( ~ $less(X214,X213)
| ( 2 != b(X216) )
| ~ $less(b(X214),3)
| ( 5 != b(X213) )
| ( 5 != a(X215) )
| ( 10 != a(X214) )
| ( 7 != a(X213) )
| ( X215 = X216 )
| ( X214 = X216 )
| ( X214 = X215 )
| ( X213 = X216 )
| ( X213 = X215 )
| ( X213 = X214 ) )
& ! [X217: $int,X218: $int,X219: $int] :
( ~ $less(X218,X217)
| ( 2 != b(X218) )
| ( 5 != b(X217) )
| ( 5 != a(X219) )
| ( 10 != a(X218) )
| ( 7 != a(X217) )
| ( X218 = X219 )
| ( X217 = X219 )
| ( X217 = X218 ) )
& ! [X220: $int,X221: $int,X222: $int] :
( ~ $less(X221,X220)
| ~ $less(b(X221),3)
| ( 5 != b(X220) )
| ( 6 != a(X222) )
| ( 10 != a(X221) )
| ( 6 != a(X220) )
| ( X221 = X222 )
| ( X220 = X222 )
| ( X220 = X221 ) )
& ! [X223: $int,X224: $int,X225: $int,X226: $int] :
( ~ $less(X224,X223)
| ( 2 != b(X226) )
| ~ $less(b(X224),3)
| ( 5 != b(X223) )
| ( 7 != a(X225) )
| ( 10 != a(X224) )
| ( 5 != a(X223) )
| ( X225 = X226 )
| ( X224 = X226 )
| ( X224 = X225 )
| ( X223 = X226 )
| ( X223 = X225 )
| ( X223 = X224 ) )
& ! [X227: $int,X228: $int,X229: $int] :
( ~ $less(X228,X227)
| ( 2 != b(X229) )
| ~ $less(b(X228),3)
| ( 5 != b(X227) )
| ( 7 != a(X229) )
| ( 10 != a(X228) )
| ( 5 != a(X227) )
| ( X228 = X229 )
| ( X227 = X229 )
| ( X227 = X228 ) )
& ! [X230: $int,X231: $int,X232: $int] :
( ~ $less(X231,X230)
| ( 2 != b(X232) )
| ~ $less(b(X231),3)
| ( 8 != a(X232) )
| ( 10 != a(X231) )
| ( 4 != a(X230) )
| ( X231 = X232 )
| ( X230 = X232 )
| ( X230 = X231 ) )
& ! [X233: $int,X234: $int,X235: $int] :
( ~ $less(X234,X233)
| ( 2 != b(X234) )
| ( 5 != b(X233) )
| ( 7 != a(X235) )
| ( 10 != a(X234) )
| ( 5 != a(X233) )
| ( X234 = X235 )
| ( X233 = X235 )
| ( X233 = X234 ) )
& ! [X236: $int,X237: $int,X238: $int] :
( ~ $less(X237,X236)
| ( 2 != b(X237) )
| ( 8 != a(X238) )
| ( 10 != a(X237) )
| ( 4 != a(X236) )
| ( X237 = X238 )
| ( X236 = X238 )
| ( X236 = X237 ) )
& ! [X239: $int,X240: $int,X241: $int] :
( ~ $less(X240,X239)
| ~ $less(b(X240),3)
| ( 5 != b(X239) )
| ( 6 != a(X241) )
| ( 10 != a(X240) )
| ( 7 != a(X239) )
| ( X240 = X241 )
| ( X239 = X241 )
| ( X239 = X240 ) )
& ! [X242: $int,X243: $int,X244: $int] :
( ~ $less(X243,X242)
| ~ $less(b(X243),3)
| ( 5 != b(X242) )
| ( 7 != a(X244) )
| ( 10 != a(X243) )
| ( 6 != a(X242) )
| ( X243 = X244 )
| ( X242 = X244 )
| ( X242 = X243 ) )
& ! [X245: $int,X246: $int,X247: $int,X248: $int] :
( ~ $less(X246,X245)
| ( 2 != b(X248) )
| ~ $less(b(X246),3)
| ( 8 != a(X247) )
| ( 10 != a(X246) )
| ( 5 != a(X245) )
| ( X247 = X248 )
| ( X246 = X248 )
| ( X246 = X247 )
| ( X245 = X248 )
| ( X245 = X247 )
| ( X245 = X246 ) )
& ! [X249: $int,X250: $int,X251: $int] :
( ~ $less(X250,X249)
| ( 2 != b(X251) )
| ~ $less(b(X250),3)
| ( 8 != a(X251) )
| ( 10 != a(X250) )
| ( 5 != a(X249) )
| ( X250 = X251 )
| ( X249 = X251 )
| ( X249 = X250 ) )
& ! [X252: $int,X253: $int,X254: $int] :
( ~ $less(X253,X252)
| ( 2 != b(X253) )
| ( 8 != a(X254) )
| ( 10 != a(X253) )
| ( 5 != a(X252) )
| ( X253 = X254 )
| ( X252 = X254 )
| ( X252 = X253 ) )
& ! [X255: $int,X256: $int,X257: $int] :
( ~ $less(X256,X255)
| ( 5 != b(X257) )
| ( 2 != b(X256) )
| ( 10 != a(X256) )
| ( 4 != a(X255) )
| ( X256 = X257 )
| ( X255 = X257 )
| ( X255 = X256 ) )
& ! [X258: $int,X259: $int,X260: $int] :
( ~ $less(X259,X258)
| ~ $less(b(X259),3)
| ( 5 != b(X258) )
| ( 7 != a(X260) )
| ( 10 != a(X259) )
| ( 7 != a(X258) )
| ( X259 = X260 )
| ( X258 = X260 )
| ( X258 = X259 ) )
& ! [X261: $int,X262: $int,X263: $int] :
( ~ $less(X262,X261)
| ~ $less(b(X262),3)
| ( 8 != a(X263) )
| ( 10 != a(X262) )
| ( 6 != a(X261) )
| ( X262 = X263 )
| ( X261 = X263 )
| ( X261 = X262 ) )
& ! [X264: $int,X265: $int,X266: $int,X267: $int] :
( ~ $less(X265,X264)
| ( 2 != b(X267) )
| ( 5 != b(X266) )
| ~ $less(b(X265),3)
| ( 10 != a(X265) )
| ( 5 != a(X264) )
| ( X266 = X267 )
| ( X265 = X267 )
| ( X265 = X266 )
| ( X264 = X267 )
| ( X264 = X266 )
| ( X264 = X265 ) )
& ! [X268: $int,X269: $int,X270: $int] :
( ~ $less(X269,X268)
| ( 5 != b(X270) )
| ( 2 != b(X269) )
| ( 10 != a(X269) )
| ( 5 != a(X268) )
| ( X269 = X270 )
| ( X268 = X270 )
| ( X268 = X269 ) )
& ! [X271: $int,X272: $int,X273: $int] :
( ~ $less(X272,X271)
| ~ $less(b(X272),3)
| ( 8 != a(X273) )
| ( 10 != a(X272) )
| ( 7 != a(X271) )
| ( X272 = X273 )
| ( X271 = X273 )
| ( X271 = X272 ) )
& ! [X274: $int,X275: $int,X276: $int] :
( ~ $less(X275,X274)
| ( 5 != b(X276) )
| ~ $less(b(X275),3)
| ( 10 != a(X275) )
| ( 6 != a(X274) )
| ( X275 = X276 )
| ( X274 = X276 )
| ( X274 = X275 ) )
& ! [X277: $int,X278: $int,X279: $int] :
( ~ $less(X278,X277)
| ( 5 != b(X279) )
| ~ $less(b(X278),3)
| ( 10 != a(X278) )
| ( 7 != a(X277) )
| ( X278 = X279 )
| ( X277 = X279 )
| ( X277 = X278 ) )
& ! [X280: $int,X281: $int] :
( ~ $less(X281,X280)
| ~ $less(b(X281),3)
| ( 10 != a(X281) )
| ( 8 != a(X280) )
| ( X280 = X281 ) )
& ! [X282: $int,X283: $int] :
( ~ $less(X283,X282)
| ~ $less(b(X283),3)
| ( 10 != a(X283) )
| ( 9 != a(X282) )
| ( X282 = X283 ) )
& ! [X284: $int,X285: $int] :
( ( 10 != a(X285) )
| ( 10 != a(X284) )
| ( X284 = X285 ) )
& ( z4 != z5 )
& ( z3 != z5 )
& ( z3 != z4 )
& ( z2 != z5 )
& ( z2 != z4 )
& ( z2 != z3 )
& ( z1 != z5 )
& ( z1 != z4 )
& ( z1 != z3 )
& ( z1 != z2 )
& ! [X286: $int] :
( ~ $less(5,b(X286))
& ~ $less(b(X286),1) )
& ! [X287: $int] :
( ~ $less(12,a(X287))
& ~ $less(a(X287),1) ) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
~ ( ( ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 1 = a(X3) )
& ( 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)
& ( 2 = b(X7) )
& $less(b(X5),3)
& ( 5 = b(X4) )
& ( 7 = a(X6) )
& ( 10 = a(X5) )
& ( 4 = a(X4) )
& ( X6 != X7 )
& ( X5 != X7 )
& ( X5 != X6 )
& ( X4 != X7 )
& ( X4 != X6 )
& ( X4 != X5 ) )
& ! [X8: $int,X9: $int,X10: $int,X11: $int] :
~ ( $less(X9,X8)
& ( 2 = b(X11) )
& $less(b(X10),4)
& $less(b(X9),3)
& $less(b(X8),4)
& ( 8 = a(X10) )
& ( 10 = a(X9) )
& ( 3 = a(X8) )
& ( X10 != X11 )
& ( X9 != X11 )
& ( X9 != X10 )
& ( X8 != X11 )
& ( X8 != X10 )
& ( X8 != X9 ) )
& ! [X12: $int,X13: $int,X14: $int,X15: $int] :
~ ( $less(X13,X12)
& ( 5 = b(X15) )
& $less(b(X13),3)
& ( 2 = a(X15) )
& ( 7 = a(X14) )
& ( 10 = a(X13) )
& ( 5 = a(X12) )
& ( X14 != X15 )
& ( X13 != X15 )
& ( X13 != X14 )
& ( X12 != X15 )
& ( X12 != X14 )
& ( X12 != X13 ) )
& ! [X16: $int,X17: $int,X18: $int,X19: $int] :
~ ( $less(X17,X16)
& $less(b(X17),3)
& ( 2 = a(X19) )
& ( 8 = a(X18) )
& ( 10 = a(X17) )
& ( 4 = a(X16) )
& ( X18 != X19 )
& ( X17 != X19 )
& ( X17 != X18 )
& ( X16 != X19 )
& ( X16 != X18 )
& ( X16 != X17 ) )
& ! [X20: $int,X21: $int,X22: $int,X23: $int] :
~ ( $less(X21,X20)
& $less(b(X21),3)
& ( 1 = a(X23) )
& ( 8 = a(X22) )
& ( 10 = a(X21) )
& ( 5 = a(X20) )
& ( X22 != X23 )
& ( X21 != X23 )
& ( X21 != X22 )
& ( X20 != X23 )
& ( X20 != X22 )
& ( X20 != X21 ) )
& ! [X24: $int,X25: $int,X26: $int,X27: $int] :
~ ( $less(X25,X24)
& ( 2 = b(X27) )
& $less(b(X25),3)
& ( 5 = b(X24) )
& ( 4 = a(X26) )
& ( 10 = a(X25) )
& ( 7 = a(X24) )
& ( X26 != X27 )
& ( X25 != X27 )
& ( X25 != X26 )
& ( X24 != X27 )
& ( X24 != X26 )
& ( X24 != X25 ) )
& ! [X28: $int,X29: $int,X30: $int,X31: $int] :
~ ( $less(X29,X28)
& $less(b(X29),3)
& ( 5 = b(X28) )
& ( 2 = a(X31) )
& ( 5 = a(X30) )
& ( 10 = a(X29) )
& ( 7 = a(X28) )
& ( X30 != X31 )
& ( X29 != X31 )
& ( X29 != X30 )
& ( X28 != X31 )
& ( X28 != X30 )
& ( X28 != X29 ) )
& ! [X32: $int,X33: $int,X34: $int,X35: $int] :
~ ( $less(X33,X32)
& $less(b(X33),3)
& ( 5 = b(X32) )
& ( 2 = a(X35) )
& ( 7 = a(X34) )
& ( 10 = a(X33) )
& ( 5 = a(X32) )
& ( X34 != X35 )
& ( X33 != X35 )
& ( X33 != X34 )
& ( X32 != X35 )
& ( X32 != X34 )
& ( X32 != X33 ) )
& ! [X36: $int,X37: $int,X38: $int,X39: $int] :
~ ( $less(X37,X36)
& ( 5 = b(X38) )
& $less(b(X37),3)
& ( 2 = a(X39) )
& ( 10 = a(X37) )
& ( 4 = a(X36) )
& ( X38 != X39 )
& ( X37 != X39 )
& ( X37 != X38 )
& ( X36 != X39 )
& ( X36 != X38 )
& ( X36 != X37 ) )
& ! [X40: $int,X41: $int,X42: $int,X43: $int] :
~ ( $less(X41,X40)
& ( 5 = b(X42) )
& $less(b(X41),3)
& ( 1 = a(X43) )
& ( 10 = a(X41) )
& ( 5 = a(X40) )
& ( X42 != X43 )
& ( X41 != X43 )
& ( X41 != X42 )
& ( X40 != X43 )
& ( X40 != X42 )
& ( X40 != X41 ) )
& ! [X44: $int,X45: $int,X46: $int,X47: $int] :
~ ( $less(X45,X44)
& ( 2 = b(X47) )
& $less(b(X45),3)
& ( 8 = a(X46) )
& ( 10 = a(X45) )
& ( 4 = a(X44) )
& ( X46 != X47 )
& ( X45 != X47 )
& ( X45 != X46 )
& ( X44 != X47 )
& ( X44 != X46 )
& ( X44 != X45 ) )
& ! [X48: $int,X49: $int,X50: $int,X51: $int] :
~ ( $less(X49,X48)
& $less(b(X49),3)
& ( 2 = a(X51) )
& ( 8 = a(X50) )
& ( 10 = a(X49) )
& ( 5 = a(X48) )
& ( X50 != X51 )
& ( X49 != X51 )
& ( X49 != X50 )
& ( X48 != X51 )
& ( X48 != X50 )
& ( X48 != X49 ) )
& ! [X52: $int,X53: $int,X54: $int,X55: $int] :
~ ( $less(X53,X52)
& ( 2 = b(X55) )
& ( 5 = b(X54) )
& $less(b(X53),3)
& ( 10 = a(X53) )
& ( 4 = a(X52) )
& ( X54 != X55 )
& ( X53 != X55 )
& ( X53 != X54 )
& ( X52 != X55 )
& ( X52 != X54 )
& ( X52 != X53 ) )
& ! [X56: $int,X57: $int,X58: $int,X59: $int] :
~ ( $less(X57,X56)
& ( 5 = b(X58) )
& $less(b(X57),3)
& ( 2 = a(X59) )
& ( 10 = a(X57) )
& ( 5 = a(X56) )
& ( X58 != X59 )
& ( X57 != X59 )
& ( X57 != X58 )
& ( X56 != X59 )
& ( X56 != X58 )
& ( X56 != X57 ) )
& ! [X60: $int,X61: $int,X62: $int] :
~ ( $less(X61,X60)
& ( 2 = b(X61) )
& ( 5 = b(X60) )
& ( 4 = a(X62) )
& ( 10 = a(X61) )
& ( 12 = a(X60) )
& ( X61 != X62 )
& ( X60 != X62 )
& ( X60 != X61 ) )
& ! [X63: $int,X64: $int,X65: $int] :
~ ( $less(X64,X63)
& ( 2 = b(X64) )
& ( 5 = b(X63) )
& ( 5 = a(X65) )
& ( 10 = a(X64) )
& ( 12 = a(X63) )
& ( X64 != X65 )
& ( X63 != X65 )
& ( X63 != X64 ) )
& ! [X66: $int,X67: $int,X68: $int] :
~ ( $less(X67,X66)
& ( 2 = b(X67) )
& ( 5 = b(X66) )
& ( 4 = a(X68) )
& ( 10 = a(X67) )
& ( 1 = a(X66) )
& ( X67 != X68 )
& ( X66 != X68 )
& ( X66 != X67 ) )
& ! [X69: $int,X70: $int,X71: $int] :
~ ( $less(X70,X69)
& ( 2 = b(X70) )
& ( 5 = b(X69) )
& ( 4 = a(X71) )
& ( 10 = a(X70) )
& ( 2 = a(X69) )
& ( X70 != X71 )
& ( X69 != X71 )
& ( X69 != X70 ) )
& ! [X72: $int,X73: $int,X74: $int] :
~ ( $less(X73,X72)
& ( 2 = b(X73) )
& ( 5 = b(X72) )
& ( 6 = a(X74) )
& ( 10 = a(X73) )
& ( 12 = a(X72) )
& ( X73 != X74 )
& ( X72 != X74 )
& ( X72 != X73 ) )
& ! [X75: $int,X76: $int,X77: $int] :
~ ( $less(X76,X75)
& ( 2 = b(X76) )
& ( 5 = b(X75) )
& ( 5 = a(X77) )
& ( 10 = a(X76) )
& ( 1 = a(X75) )
& ( X76 != X77 )
& ( X75 != X77 )
& ( X75 != X76 ) )
& ! [X78: $int,X79: $int,X80: $int,X81: $int] :
~ ( $less(X79,X78)
& ( 5 = b(X81) )
& ( 2 = b(X80) )
& $less(b(X79),3)
& ( 7 = a(X80) )
& ( 10 = a(X79) )
& ( 12 = a(X78) )
& ( X80 != X81 )
& ( X79 != X81 )
& ( X79 != X80 )
& ( X78 != X81 )
& ( X78 != X80 )
& ( X78 != X79 ) )
& ! [X82: $int,X83: $int,X84: $int] :
~ ( $less(X83,X82)
& ( 2 = b(X84) )
& $less(b(X83),3)
& ( 5 = b(X82) )
& ( 7 = a(X84) )
& ( 10 = a(X83) )
& ( 12 = 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) )
& ( 2 = 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) )
& ( 12 = 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) )
& ( 12 = a(X92) )
& ( X93 != X94 )
& ( X92 != X94 )
& ( X92 != X93 ) )
& ! [X95: $int,X96: $int,X97: $int] :
~ ( $less(X96,X95)
& ( 2 = b(X96) )
& ( 5 = b(X95) )
& ( 6 = 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(X100) )
& $less(b(X99),3)
& ( 8 = a(X100) )
& ( 10 = a(X99) )
& ( 12 = a(X98) )
& ( X99 != X100 )
& ( X98 != X100 )
& ( X98 != X99 ) )
& ! [X101: $int,X102: $int,X103: $int,X104: $int] :
~ ( $less(X102,X101)
& ( 5 = b(X104) )
& ( 2 = b(X103) )
& $less(b(X102),3)
& ( 7 = a(X103) )
& ( 10 = a(X102) )
& ( 1 = a(X101) )
& ( X103 != X104 )
& ( X102 != X104 )
& ( X102 != X103 )
& ( X101 != X104 )
& ( X101 != X103 )
& ( X101 != X102 ) )
& ! [X105: $int,X106: $int,X107: $int] :
~ ( $less(X106,X105)
& ( 2 = b(X107) )
& $less(b(X106),3)
& ( 5 = b(X105) )
& ( 7 = a(X107) )
& ( 10 = a(X106) )
& ( 1 = a(X105) )
& ( X106 != X107 )
& ( X105 != X107 )
& ( X105 != X106 ) )
& ! [X108: $int,X109: $int,X110: $int] :
~ ( $less(X109,X108)
& ( 2 = b(X109) )
& ( 5 = b(X108) )
& ( 4 = a(X110) )
& ( 10 = a(X109) )
& ( 4 = a(X108) )
& ( X109 != X110 )
& ( X108 != X110 )
& ( X108 != X109 ) )
& ! [X111: $int,X112: $int,X113: $int] :
~ ( $less(X112,X111)
& ( 2 = b(X112) )
& ( 5 = b(X111) )
& ( 6 = a(X113) )
& ( 10 = a(X112) )
& ( 2 = a(X111) )
& ( X112 != X113 )
& ( X111 != X113 )
& ( X111 != X112 ) )
& ! [X114: $int,X115: $int,X116: $int] :
~ ( $less(X115,X114)
& $less(b(X116),4)
& ( 2 = b(X115) )
& ( 8 = a(X116) )
& ( 10 = a(X115) )
& ( 12 = a(X114) )
& ( X115 != X116 )
& ( X114 != X116 )
& ( X114 != X115 ) )
& ! [X117: $int,X118: $int,X119: $int,X120: $int] :
~ ( $less(X118,X117)
& ( 5 = b(X120) )
& $less(b(X119),4)
& ( 2 = b(X118) )
& ( 7 = a(X119) )
& ( 10 = a(X118) )
& ( 1 = a(X117) )
& ( X119 != X120 )
& ( X118 != X120 )
& ( X118 != X119 )
& ( X117 != X120 )
& ( X117 != X119 )
& ( X117 != X118 ) )
& ! [X121: $int,X122: $int,X123: $int] :
~ ( $less(X122,X121)
& $less(b(X123),4)
& ( 2 = b(X122) )
& ( 5 = b(X121) )
& ( 7 = a(X123) )
& ( 10 = a(X122) )
& ( 1 = a(X121) )
& ( X122 != X123 )
& ( X121 != X123 )
& ( X121 != X122 ) )
& ! [X124: $int,X125: $int,X126: $int,X127: $int] :
~ ( $less(X125,X124)
& ( 5 = b(X127) )
& ( 2 = b(X126) )
& $less(b(X125),3)
& ( 7 = a(X126) )
& ( 10 = a(X125) )
& ( 2 = a(X124) )
& ( X126 != X127 )
& ( X125 != X127 )
& ( X125 != X126 )
& ( X124 != X127 )
& ( X124 != X126 )
& ( X124 != X125 ) )
& ! [X128: $int,X129: $int,X130: $int] :
~ ( $less(X129,X128)
& ( 2 = b(X130) )
& $less(b(X129),3)
& ( 5 = b(X128) )
& ( 7 = a(X130) )
& ( 10 = a(X129) )
& ( 2 = a(X128) )
& ( X129 != X130 )
& ( X128 != X130 )
& ( X128 != X129 ) )
& ! [X131: $int,X132: $int,X133: $int] :
~ ( $less(X132,X131)
& ( 2 = b(X133) )
& $less(b(X132),3)
& ( 8 = a(X133) )
& ( 10 = a(X132) )
& ( 1 = a(X131) )
& ( X132 != X133 )
& ( X131 != X133 )
& ( X131 != X132 ) )
& ! [X134: $int,X135: $int,X136: $int] :
~ ( $less(X135,X134)
& ( 2 = b(X135) )
& ( 5 = b(X134) )
& ( 4 = a(X136) )
& ( 10 = a(X135) )
& ( 5 = a(X134) )
& ( X135 != X136 )
& ( X134 != X136 )
& ( X134 != X135 ) )
& ! [X137: $int,X138: $int,X139: $int] :
~ ( $less(X138,X137)
& ( 2 = b(X138) )
& ( 5 = b(X137) )
& ( 5 = a(X139) )
& ( 10 = a(X138) )
& ( 4 = a(X137) )
& ( X138 != X139 )
& ( X137 != X139 )
& ( X137 != X138 ) )
& ! [X140: $int,X141: $int,X142: $int,X143: $int] :
~ ( $less(X141,X140)
& ( 5 = b(X143) )
& $less(b(X142),4)
& ( 2 = b(X141) )
& ( 7 = a(X142) )
& ( 10 = a(X141) )
& ( 2 = a(X140) )
& ( X142 != X143 )
& ( X141 != X143 )
& ( X141 != X142 )
& ( X140 != X143 )
& ( X140 != X142 )
& ( X140 != X141 ) )
& ! [X144: $int,X145: $int,X146: $int] :
~ ( $less(X145,X144)
& $less(b(X146),4)
& ( 2 = b(X145) )
& ( 5 = b(X144) )
& ( 7 = a(X146) )
& ( 10 = a(X145) )
& ( 2 = a(X144) )
& ( X145 != X146 )
& ( X144 != X146 )
& ( X144 != X145 ) )
& ! [X147: $int,X148: $int,X149: $int] :
~ ( $less(X148,X147)
& $less(b(X149),4)
& ( 2 = b(X148) )
& ( 8 = a(X149) )
& ( 10 = a(X148) )
& ( 1 = a(X147) )
& ( X148 != X149 )
& ( X147 != X149 )
& ( X147 != X148 ) )
& ! [X150: $int,X151: $int,X152: $int] :
~ ( $less(X151,X150)
& ( 2 = b(X151) )
& ( 5 = b(X150) )
& ( 4 = a(X152) )
& ( 10 = a(X151) )
& ( 6 = a(X150) )
& ( X151 != X152 )
& ( X150 != X152 )
& ( X150 != X151 ) )
& ! [X153: $int,X154: $int,X155: $int,X156: $int] :
~ ( $less(X154,X153)
& ( 2 = b(X156) )
& ( 2 = b(X155) )
& $less(b(X154),3)
& ( 5 = b(X153) )
& ( 5 = a(X155) )
& ( 10 = a(X154) )
& ( 5 = a(X153) )
& ( X155 != X156 )
& ( X154 != X156 )
& ( X154 != X155 )
& ( X153 != X156 )
& ( X153 != X155 )
& ( X153 != X154 ) )
& ! [X157: $int,X158: $int,X159: $int,X160: $int] :
~ ( $less(X158,X157)
& ( 5 = b(X160) )
& ( 2 = b(X159) )
& $less(b(X158),3)
& $less(b(X157),4)
& ( 7 = a(X159) )
& ( 10 = a(X158) )
& ( 3 = a(X157) )
& ( X159 != X160 )
& ( X158 != X160 )
& ( X158 != X159 )
& ( X157 != X160 )
& ( X157 != X159 )
& ( X157 != X158 ) )
& ! [X161: $int,X162: $int,X163: $int] :
~ ( $less(X162,X161)
& ( 2 = b(X163) )
& $less(b(X162),3)
& ( 8 = a(X163) )
& ( 10 = a(X162) )
& ( 2 = a(X161) )
& ( X162 != X163 )
& ( X161 != X163 )
& ( X161 != X162 ) )
& ! [X164: $int,X165: $int,X166: $int] :
~ ( $less(X165,X164)
& ( 2 = b(X165) )
& ( 5 = b(X164) )
& ( 5 = a(X166) )
& ( 10 = a(X165) )
& ( 5 = a(X164) )
& ( X165 != X166 )
& ( X164 != X166 )
& ( X164 != X165 ) )
& ! [X167: $int,X168: $int,X169: $int] :
~ ( $less(X168,X167)
& ( 2 = b(X168) )
& ( 5 = b(X167) )
& ( 6 = a(X169) )
& ( 10 = a(X168) )
& ( 4 = a(X167) )
& ( X168 != X169 )
& ( X167 != X169 )
& ( X167 != X168 ) )
& ! [X170: $int,X171: $int,X172: $int,X173: $int] :
~ ( $less(X171,X170)
& ( 5 = b(X173) )
& $less(b(X172),4)
& ( 2 = b(X171) )
& $less(b(X170),4)
& ( 7 = a(X172) )
& ( 10 = a(X171) )
& ( 3 = a(X170) )
& ( X172 != X173 )
& ( X171 != X173 )
& ( X171 != X172 )
& ( X170 != X173 )
& ( X170 != X172 )
& ( X170 != X171 ) )
& ! [X174: $int,X175: $int,X176: $int] :
~ ( $less(X175,X174)
& $less(b(X176),4)
& ( 2 = b(X175) )
& ( 8 = a(X176) )
& ( 10 = a(X175) )
& ( 2 = a(X174) )
& ( X175 != X176 )
& ( X174 != X176 )
& ( X174 != X175 ) )
& ! [X177: $int,X178: $int,X179: $int] :
~ ( $less(X178,X177)
& ( 2 = b(X178) )
& ( 5 = b(X177) )
& ( 4 = a(X179) )
& ( 10 = a(X178) )
& ( 7 = a(X177) )
& ( X178 != X179 )
& ( X177 != X179 )
& ( X177 != X178 ) )
& ! [X180: $int,X181: $int,X182: $int,X183: $int] :
~ ( $less(X181,X180)
& ( 2 = b(X183) )
& $less(b(X181),3)
& ( 5 = b(X180) )
& ( 5 = a(X182) )
& ( 10 = a(X181) )
& ( 6 = a(X180) )
& ( X182 != X183 )
& ( X181 != X183 )
& ( X181 != X182 )
& ( X180 != X183 )
& ( X180 != X182 )
& ( X180 != X181 ) )
& ! [X184: $int,X185: $int,X186: $int] :
~ ( $less(X185,X184)
& ( 2 = b(X185) )
& ( 5 = b(X184) )
& ( 5 = a(X186) )
& ( 10 = a(X185) )
& ( 6 = a(X184) )
& ( X185 != X186 )
& ( X184 != X186 )
& ( X184 != X185 ) )
& ! [X187: $int,X188: $int,X189: $int,X190: $int] :
~ ( $less(X188,X187)
& ( 2 = b(X190) )
& $less(b(X188),3)
& ( 5 = b(X187) )
& ( 6 = a(X189) )
& ( 10 = a(X188) )
& ( 5 = a(X187) )
& ( X189 != X190 )
& ( X188 != X190 )
& ( X188 != X189 )
& ( X187 != X190 )
& ( X187 != X189 )
& ( X187 != X188 ) )
& ! [X191: $int,X192: $int,X193: $int] :
~ ( $less(X192,X191)
& ( 2 = b(X193) )
& $less(b(X192),3)
& ( 5 = b(X191) )
& ( 6 = a(X193) )
& ( 10 = a(X192) )
& ( 5 = a(X191) )
& ( X192 != X193 )
& ( X191 != X193 )
& ( X191 != X192 ) )
& ! [X194: $int,X195: $int,X196: $int,X197: $int] :
~ ( $less(X195,X194)
& ( 5 = b(X197) )
& ( 2 = b(X196) )
& $less(b(X195),3)
& ( 7 = a(X196) )
& ( 10 = a(X195) )
& ( 4 = a(X194) )
& ( X196 != X197 )
& ( X195 != X197 )
& ( X195 != X196 )
& ( X194 != X197 )
& ( X194 != X196 )
& ( X194 != X195 ) )
& ! [X198: $int,X199: $int,X200: $int] :
~ ( $less(X199,X198)
& ( 2 = b(X200) )
& $less(b(X199),3)
& ( 5 = b(X198) )
& ( 7 = a(X200) )
& ( 10 = a(X199) )
& ( 4 = a(X198) )
& ( X199 != X200 )
& ( X198 != X200 )
& ( X198 != X199 ) )
& ! [X201: $int,X202: $int,X203: $int] :
~ ( $less(X202,X201)
& ( 2 = b(X203) )
& $less(b(X202),3)
& $less(b(X201),4)
& ( 8 = a(X203) )
& ( 10 = a(X202) )
& ( 3 = a(X201) )
& ( X202 != X203 )
& ( X201 != X203 )
& ( X201 != X202 ) )
& ! [X204: $int,X205: $int,X206: $int] :
~ ( $less(X205,X204)
& ( 2 = b(X205) )
& ( 5 = b(X204) )
& ( 6 = a(X206) )
& ( 10 = a(X205) )
& ( 5 = a(X204) )
& ( X205 != X206 )
& ( X204 != X206 )
& ( X204 != X205 ) )
& ! [X207: $int,X208: $int,X209: $int] :
~ ( $less(X208,X207)
& ( 2 = b(X208) )
& ( 5 = b(X207) )
& ( 7 = a(X209) )
& ( 10 = a(X208) )
& ( 4 = a(X207) )
& ( X208 != X209 )
& ( X207 != X209 )
& ( X207 != X208 ) )
& ! [X210: $int,X211: $int,X212: $int] :
~ ( $less(X211,X210)
& $less(b(X212),4)
& ( 2 = b(X211) )
& $less(b(X210),4)
& ( 8 = a(X212) )
& ( 10 = a(X211) )
& ( 3 = a(X210) )
& ( X211 != X212 )
& ( X210 != X212 )
& ( X210 != X211 ) )
& ! [X213: $int,X214: $int,X215: $int,X216: $int] :
~ ( $less(X214,X213)
& ( 2 = b(X216) )
& $less(b(X214),3)
& ( 5 = b(X213) )
& ( 5 = a(X215) )
& ( 10 = a(X214) )
& ( 7 = a(X213) )
& ( X215 != X216 )
& ( X214 != X216 )
& ( X214 != X215 )
& ( X213 != X216 )
& ( X213 != X215 )
& ( X213 != X214 ) )
& ! [X217: $int,X218: $int,X219: $int] :
~ ( $less(X218,X217)
& ( 2 = b(X218) )
& ( 5 = b(X217) )
& ( 5 = a(X219) )
& ( 10 = a(X218) )
& ( 7 = a(X217) )
& ( X218 != X219 )
& ( X217 != X219 )
& ( X217 != X218 ) )
& ! [X220: $int,X221: $int,X222: $int] :
~ ( $less(X221,X220)
& $less(b(X221),3)
& ( 5 = b(X220) )
& ( 6 = a(X222) )
& ( 10 = a(X221) )
& ( 6 = a(X220) )
& ( X221 != X222 )
& ( X220 != X222 )
& ( X220 != X221 ) )
& ! [X223: $int,X224: $int,X225: $int,X226: $int] :
~ ( $less(X224,X223)
& ( 2 = b(X226) )
& $less(b(X224),3)
& ( 5 = b(X223) )
& ( 7 = a(X225) )
& ( 10 = a(X224) )
& ( 5 = a(X223) )
& ( X225 != X226 )
& ( X224 != X226 )
& ( X224 != X225 )
& ( X223 != X226 )
& ( X223 != X225 )
& ( X223 != X224 ) )
& ! [X227: $int,X228: $int,X229: $int] :
~ ( $less(X228,X227)
& ( 2 = b(X229) )
& $less(b(X228),3)
& ( 5 = b(X227) )
& ( 7 = a(X229) )
& ( 10 = a(X228) )
& ( 5 = a(X227) )
& ( X228 != X229 )
& ( X227 != X229 )
& ( X227 != X228 ) )
& ! [X230: $int,X231: $int,X232: $int] :
~ ( $less(X231,X230)
& ( 2 = b(X232) )
& $less(b(X231),3)
& ( 8 = a(X232) )
& ( 10 = a(X231) )
& ( 4 = a(X230) )
& ( X231 != X232 )
& ( X230 != X232 )
& ( X230 != X231 ) )
& ! [X233: $int,X234: $int,X235: $int] :
~ ( $less(X234,X233)
& ( 2 = b(X234) )
& ( 5 = b(X233) )
& ( 7 = a(X235) )
& ( 10 = a(X234) )
& ( 5 = a(X233) )
& ( X234 != X235 )
& ( X233 != X235 )
& ( X233 != X234 ) )
& ! [X236: $int,X237: $int,X238: $int] :
~ ( $less(X237,X236)
& ( 2 = b(X237) )
& ( 8 = a(X238) )
& ( 10 = a(X237) )
& ( 4 = a(X236) )
& ( X237 != X238 )
& ( X236 != X238 )
& ( X236 != X237 ) )
& ! [X239: $int,X240: $int,X241: $int] :
~ ( $less(X240,X239)
& $less(b(X240),3)
& ( 5 = b(X239) )
& ( 6 = a(X241) )
& ( 10 = a(X240) )
& ( 7 = a(X239) )
& ( X240 != X241 )
& ( X239 != X241 )
& ( X239 != X240 ) )
& ! [X242: $int,X243: $int,X244: $int] :
~ ( $less(X243,X242)
& $less(b(X243),3)
& ( 5 = b(X242) )
& ( 7 = a(X244) )
& ( 10 = a(X243) )
& ( 6 = a(X242) )
& ( X243 != X244 )
& ( X242 != X244 )
& ( X242 != X243 ) )
& ! [X245: $int,X246: $int,X247: $int,X248: $int] :
~ ( $less(X246,X245)
& ( 2 = b(X248) )
& $less(b(X246),3)
& ( 8 = a(X247) )
& ( 10 = a(X246) )
& ( 5 = a(X245) )
& ( X247 != X248 )
& ( X246 != X248 )
& ( X246 != X247 )
& ( X245 != X248 )
& ( X245 != X247 )
& ( X245 != X246 ) )
& ! [X249: $int,X250: $int,X251: $int] :
~ ( $less(X250,X249)
& ( 2 = b(X251) )
& $less(b(X250),3)
& ( 8 = a(X251) )
& ( 10 = a(X250) )
& ( 5 = a(X249) )
& ( X250 != X251 )
& ( X249 != X251 )
& ( X249 != X250 ) )
& ! [X252: $int,X253: $int,X254: $int] :
~ ( $less(X253,X252)
& ( 2 = b(X253) )
& ( 8 = a(X254) )
& ( 10 = a(X253) )
& ( 5 = a(X252) )
& ( X253 != X254 )
& ( X252 != X254 )
& ( X252 != X253 ) )
& ! [X255: $int,X256: $int,X257: $int] :
~ ( $less(X256,X255)
& ( 5 = b(X257) )
& ( 2 = b(X256) )
& ( 10 = a(X256) )
& ( 4 = a(X255) )
& ( X256 != X257 )
& ( X255 != X257 )
& ( X255 != X256 ) )
& ! [X258: $int,X259: $int,X260: $int] :
~ ( $less(X259,X258)
& $less(b(X259),3)
& ( 5 = b(X258) )
& ( 7 = a(X260) )
& ( 10 = a(X259) )
& ( 7 = a(X258) )
& ( X259 != X260 )
& ( X258 != X260 )
& ( X258 != X259 ) )
& ! [X261: $int,X262: $int,X263: $int] :
~ ( $less(X262,X261)
& $less(b(X262),3)
& ( 8 = a(X263) )
& ( 10 = a(X262) )
& ( 6 = a(X261) )
& ( X262 != X263 )
& ( X261 != X263 )
& ( X261 != X262 ) )
& ! [X264: $int,X265: $int,X266: $int,X267: $int] :
~ ( $less(X265,X264)
& ( 2 = b(X267) )
& ( 5 = b(X266) )
& $less(b(X265),3)
& ( 10 = a(X265) )
& ( 5 = a(X264) )
& ( X266 != X267 )
& ( X265 != X267 )
& ( X265 != X266 )
& ( X264 != X267 )
& ( X264 != X266 )
& ( X264 != X265 ) )
& ! [X268: $int,X269: $int,X270: $int] :
~ ( $less(X269,X268)
& ( 5 = b(X270) )
& ( 2 = b(X269) )
& ( 10 = a(X269) )
& ( 5 = a(X268) )
& ( X269 != X270 )
& ( X268 != X270 )
& ( X268 != X269 ) )
& ! [X271: $int,X272: $int,X273: $int] :
~ ( $less(X272,X271)
& $less(b(X272),3)
& ( 8 = a(X273) )
& ( 10 = a(X272) )
& ( 7 = a(X271) )
& ( X272 != X273 )
& ( X271 != X273 )
& ( X271 != X272 ) )
& ! [X274: $int,X275: $int,X276: $int] :
~ ( $less(X275,X274)
& ( 5 = b(X276) )
& $less(b(X275),3)
& ( 10 = a(X275) )
& ( 6 = a(X274) )
& ( X275 != X276 )
& ( X274 != X276 )
& ( X274 != X275 ) )
& ! [X277: $int,X278: $int,X279: $int] :
~ ( $less(X278,X277)
& ( 5 = b(X279) )
& $less(b(X278),3)
& ( 10 = a(X278) )
& ( 7 = a(X277) )
& ( X278 != X279 )
& ( X277 != X279 )
& ( X277 != X278 ) )
& ! [X280: $int,X281: $int] :
~ ( $less(X281,X280)
& $less(b(X281),3)
& ( 10 = a(X281) )
& ( 8 = a(X280) )
& ( X280 != X281 ) )
& ! [X282: $int,X283: $int] :
~ ( $less(X283,X282)
& $less(b(X283),3)
& ( 10 = a(X283) )
& ( 9 = a(X282) )
& ( X282 != X283 ) )
& ! [X284: $int,X285: $int] :
~ ( ( 10 = a(X285) )
& ( 10 = a(X284) )
& ( X284 != X285 ) )
& ( z4 != z5 )
& ( z3 != z5 )
& ( z3 != z4 )
& ( z2 != z5 )
& ( z2 != z4 )
& ( z2 != z3 )
& ( z1 != z5 )
& ( z1 != z4 )
& ( z1 != z3 )
& ( z1 != z2 )
& ! [X286: $int] :
( ~ $less(5,b(X286))
& ~ $less(b(X286),1) )
& ! [X287: $int] :
( ~ $less(12,a(X287))
& ~ $less(a(X287),1) ) )
=> ~ ( $less(z2,z1)
& ( 5 = b(z4) )
& ( 5 = b(z3) )
& $less(b(z2),3)
& ( 1 = a(z4) )
& ( 7 = a(z3) )
& ( 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)
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 1 = a(X3) )
& ( 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)
& ( 2 = b(X7) )
& $less(b(X5),3)
& ( 5 = b(X4) )
& ( 7 = a(X6) )
& ( 10 = a(X5) )
& ( 4 = a(X4) )
& ( X6 != X7 )
& ( X5 != X7 )
& ( X5 != X6 )
& ( X4 != X7 )
& ( X4 != X6 )
& ( X4 != X5 ) )
& ! [X8: $int,X9: $int,X10: $int,X11: $int] :
~ ( $less(X9,X8)
& ( 2 = b(X11) )
& $less(b(X10),4)
& $less(b(X9),3)
& $less(b(X8),4)
& ( 8 = a(X10) )
& ( 10 = a(X9) )
& ( 3 = a(X8) )
& ( X10 != X11 )
& ( X9 != X11 )
& ( X9 != X10 )
& ( X8 != X11 )
& ( X8 != X10 )
& ( X8 != X9 ) )
& ! [X12: $int,X13: $int,X14: $int,X15: $int] :
~ ( $less(X13,X12)
& ( 5 = b(X15) )
& $less(b(X13),3)
& ( 2 = a(X15) )
& ( 7 = a(X14) )
& ( 10 = a(X13) )
& ( 5 = a(X12) )
& ( X14 != X15 )
& ( X13 != X15 )
& ( X13 != X14 )
& ( X12 != X15 )
& ( X12 != X14 )
& ( X12 != X13 ) )
& ! [X16: $int,X17: $int,X18: $int,X19: $int] :
~ ( $less(X17,X16)
& $less(b(X17),3)
& ( 2 = a(X19) )
& ( 8 = a(X18) )
& ( 10 = a(X17) )
& ( 4 = a(X16) )
& ( X18 != X19 )
& ( X17 != X19 )
& ( X17 != X18 )
& ( X16 != X19 )
& ( X16 != X18 )
& ( X16 != X17 ) )
& ! [X20: $int,X21: $int,X22: $int,X23: $int] :
~ ( $less(X21,X20)
& $less(b(X21),3)
& ( 1 = a(X23) )
& ( 8 = a(X22) )
& ( 10 = a(X21) )
& ( 5 = a(X20) )
& ( X22 != X23 )
& ( X21 != X23 )
& ( X21 != X22 )
& ( X20 != X23 )
& ( X20 != X22 )
& ( X20 != X21 ) )
& ! [X24: $int,X25: $int,X26: $int,X27: $int] :
~ ( $less(X25,X24)
& ( 2 = b(X27) )
& $less(b(X25),3)
& ( 5 = b(X24) )
& ( 4 = a(X26) )
& ( 10 = a(X25) )
& ( 7 = a(X24) )
& ( X26 != X27 )
& ( X25 != X27 )
& ( X25 != X26 )
& ( X24 != X27 )
& ( X24 != X26 )
& ( X24 != X25 ) )
& ! [X28: $int,X29: $int,X30: $int,X31: $int] :
~ ( $less(X29,X28)
& $less(b(X29),3)
& ( 5 = b(X28) )
& ( 2 = a(X31) )
& ( 5 = a(X30) )
& ( 10 = a(X29) )
& ( 7 = a(X28) )
& ( X30 != X31 )
& ( X29 != X31 )
& ( X29 != X30 )
& ( X28 != X31 )
& ( X28 != X30 )
& ( X28 != X29 ) )
& ! [X32: $int,X33: $int,X34: $int,X35: $int] :
~ ( $less(X33,X32)
& $less(b(X33),3)
& ( 5 = b(X32) )
& ( 2 = a(X35) )
& ( 7 = a(X34) )
& ( 10 = a(X33) )
& ( 5 = a(X32) )
& ( X34 != X35 )
& ( X33 != X35 )
& ( X33 != X34 )
& ( X32 != X35 )
& ( X32 != X34 )
& ( X32 != X33 ) )
& ! [X36: $int,X37: $int,X38: $int,X39: $int] :
~ ( $less(X37,X36)
& ( 5 = b(X38) )
& $less(b(X37),3)
& ( 2 = a(X39) )
& ( 10 = a(X37) )
& ( 4 = a(X36) )
& ( X38 != X39 )
& ( X37 != X39 )
& ( X37 != X38 )
& ( X36 != X39 )
& ( X36 != X38 )
& ( X36 != X37 ) )
& ! [X40: $int,X41: $int,X42: $int,X43: $int] :
~ ( $less(X41,X40)
& ( 5 = b(X42) )
& $less(b(X41),3)
& ( 1 = a(X43) )
& ( 10 = a(X41) )
& ( 5 = a(X40) )
& ( X42 != X43 )
& ( X41 != X43 )
& ( X41 != X42 )
& ( X40 != X43 )
& ( X40 != X42 )
& ( X40 != X41 ) )
& ! [X44: $int,X45: $int,X46: $int,X47: $int] :
~ ( $less(X45,X44)
& ( 2 = b(X47) )
& $less(b(X45),3)
& ( 8 = a(X46) )
& ( 10 = a(X45) )
& ( 4 = a(X44) )
& ( X46 != X47 )
& ( X45 != X47 )
& ( X45 != X46 )
& ( X44 != X47 )
& ( X44 != X46 )
& ( X44 != X45 ) )
& ! [X48: $int,X49: $int,X50: $int,X51: $int] :
~ ( $less(X49,X48)
& $less(b(X49),3)
& ( 2 = a(X51) )
& ( 8 = a(X50) )
& ( 10 = a(X49) )
& ( 5 = a(X48) )
& ( X50 != X51 )
& ( X49 != X51 )
& ( X49 != X50 )
& ( X48 != X51 )
& ( X48 != X50 )
& ( X48 != X49 ) )
& ! [X52: $int,X53: $int,X54: $int,X55: $int] :
~ ( $less(X53,X52)
& ( 2 = b(X55) )
& ( 5 = b(X54) )
& $less(b(X53),3)
& ( 10 = a(X53) )
& ( 4 = a(X52) )
& ( X54 != X55 )
& ( X53 != X55 )
& ( X53 != X54 )
& ( X52 != X55 )
& ( X52 != X54 )
& ( X52 != X53 ) )
& ! [X56: $int,X57: $int,X58: $int,X59: $int] :
~ ( $less(X57,X56)
& ( 5 = b(X58) )
& $less(b(X57),3)
& ( 2 = a(X59) )
& ( 10 = a(X57) )
& ( 5 = a(X56) )
& ( X58 != X59 )
& ( X57 != X59 )
& ( X57 != X58 )
& ( X56 != X59 )
& ( X56 != X58 )
& ( X56 != X57 ) )
& ! [X60: $int,X61: $int,X62: $int] :
~ ( $less(X61,X60)
& ( 2 = b(X61) )
& ( 5 = b(X60) )
& ( 4 = a(X62) )
& ( 10 = a(X61) )
& ( 12 = a(X60) )
& ( X61 != X62 )
& ( X60 != X62 )
& ( X60 != X61 ) )
& ! [X63: $int,X64: $int,X65: $int] :
~ ( $less(X64,X63)
& ( 2 = b(X64) )
& ( 5 = b(X63) )
& ( 5 = a(X65) )
& ( 10 = a(X64) )
& ( 12 = a(X63) )
& ( X64 != X65 )
& ( X63 != X65 )
& ( X63 != X64 ) )
& ! [X66: $int,X67: $int,X68: $int] :
~ ( $less(X67,X66)
& ( 2 = b(X67) )
& ( 5 = b(X66) )
& ( 4 = a(X68) )
& ( 10 = a(X67) )
& ( 1 = a(X66) )
& ( X67 != X68 )
& ( X66 != X68 )
& ( X66 != X67 ) )
& ! [X69: $int,X70: $int,X71: $int] :
~ ( $less(X70,X69)
& ( 2 = b(X70) )
& ( 5 = b(X69) )
& ( 4 = a(X71) )
& ( 10 = a(X70) )
& ( 2 = a(X69) )
& ( X70 != X71 )
& ( X69 != X71 )
& ( X69 != X70 ) )
& ! [X72: $int,X73: $int,X74: $int] :
~ ( $less(X73,X72)
& ( 2 = b(X73) )
& ( 5 = b(X72) )
& ( 6 = a(X74) )
& ( 10 = a(X73) )
& ( 12 = a(X72) )
& ( X73 != X74 )
& ( X72 != X74 )
& ( X72 != X73 ) )
& ! [X75: $int,X76: $int,X77: $int] :
~ ( $less(X76,X75)
& ( 2 = b(X76) )
& ( 5 = b(X75) )
& ( 5 = a(X77) )
& ( 10 = a(X76) )
& ( 1 = a(X75) )
& ( X76 != X77 )
& ( X75 != X77 )
& ( X75 != X76 ) )
& ! [X78: $int,X79: $int,X80: $int,X81: $int] :
~ ( $less(X79,X78)
& ( 5 = b(X81) )
& ( 2 = b(X80) )
& $less(b(X79),3)
& ( 7 = a(X80) )
& ( 10 = a(X79) )
& ( 12 = a(X78) )
& ( X80 != X81 )
& ( X79 != X81 )
& ( X79 != X80 )
& ( X78 != X81 )
& ( X78 != X80 )
& ( X78 != X79 ) )
& ! [X82: $int,X83: $int,X84: $int] :
~ ( $less(X83,X82)
& ( 2 = b(X84) )
& $less(b(X83),3)
& ( 5 = b(X82) )
& ( 7 = a(X84) )
& ( 10 = a(X83) )
& ( 12 = 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) )
& ( 2 = 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) )
& ( 12 = 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) )
& ( 12 = a(X92) )
& ( X93 != X94 )
& ( X92 != X94 )
& ( X92 != X93 ) )
& ! [X95: $int,X96: $int,X97: $int] :
~ ( $less(X96,X95)
& ( 2 = b(X96) )
& ( 5 = b(X95) )
& ( 6 = 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(X100) )
& $less(b(X99),3)
& ( 8 = a(X100) )
& ( 10 = a(X99) )
& ( 12 = a(X98) )
& ( X99 != X100 )
& ( X98 != X100 )
& ( X98 != X99 ) )
& ! [X101: $int,X102: $int,X103: $int,X104: $int] :
~ ( $less(X102,X101)
& ( 5 = b(X104) )
& ( 2 = b(X103) )
& $less(b(X102),3)
& ( 7 = a(X103) )
& ( 10 = a(X102) )
& ( 1 = a(X101) )
& ( X103 != X104 )
& ( X102 != X104 )
& ( X102 != X103 )
& ( X101 != X104 )
& ( X101 != X103 )
& ( X101 != X102 ) )
& ! [X105: $int,X106: $int,X107: $int] :
~ ( $less(X106,X105)
& ( 2 = b(X107) )
& $less(b(X106),3)
& ( 5 = b(X105) )
& ( 7 = a(X107) )
& ( 10 = a(X106) )
& ( 1 = a(X105) )
& ( X106 != X107 )
& ( X105 != X107 )
& ( X105 != X106 ) )
& ! [X108: $int,X109: $int,X110: $int] :
~ ( $less(X109,X108)
& ( 2 = b(X109) )
& ( 5 = b(X108) )
& ( 4 = a(X110) )
& ( 10 = a(X109) )
& ( 4 = a(X108) )
& ( X109 != X110 )
& ( X108 != X110 )
& ( X108 != X109 ) )
& ! [X111: $int,X112: $int,X113: $int] :
~ ( $less(X112,X111)
& ( 2 = b(X112) )
& ( 5 = b(X111) )
& ( 6 = a(X113) )
& ( 10 = a(X112) )
& ( 2 = a(X111) )
& ( X112 != X113 )
& ( X111 != X113 )
& ( X111 != X112 ) )
& ! [X114: $int,X115: $int,X116: $int] :
~ ( $less(X115,X114)
& $less(b(X116),4)
& ( 2 = b(X115) )
& ( 8 = a(X116) )
& ( 10 = a(X115) )
& ( 12 = a(X114) )
& ( X115 != X116 )
& ( X114 != X116 )
& ( X114 != X115 ) )
& ! [X117: $int,X118: $int,X119: $int,X120: $int] :
~ ( $less(X118,X117)
& ( 5 = b(X120) )
& $less(b(X119),4)
& ( 2 = b(X118) )
& ( 7 = a(X119) )
& ( 10 = a(X118) )
& ( 1 = a(X117) )
& ( X119 != X120 )
& ( X118 != X120 )
& ( X118 != X119 )
& ( X117 != X120 )
& ( X117 != X119 )
& ( X117 != X118 ) )
& ! [X121: $int,X122: $int,X123: $int] :
~ ( $less(X122,X121)
& $less(b(X123),4)
& ( 2 = b(X122) )
& ( 5 = b(X121) )
& ( 7 = a(X123) )
& ( 10 = a(X122) )
& ( 1 = a(X121) )
& ( X122 != X123 )
& ( X121 != X123 )
& ( X121 != X122 ) )
& ! [X124: $int,X125: $int,X126: $int,X127: $int] :
~ ( $less(X125,X124)
& ( 5 = b(X127) )
& ( 2 = b(X126) )
& $less(b(X125),3)
& ( 7 = a(X126) )
& ( 10 = a(X125) )
& ( 2 = a(X124) )
& ( X126 != X127 )
& ( X125 != X127 )
& ( X125 != X126 )
& ( X124 != X127 )
& ( X124 != X126 )
& ( X124 != X125 ) )
& ! [X128: $int,X129: $int,X130: $int] :
~ ( $less(X129,X128)
& ( 2 = b(X130) )
& $less(b(X129),3)
& ( 5 = b(X128) )
& ( 7 = a(X130) )
& ( 10 = a(X129) )
& ( 2 = a(X128) )
& ( X129 != X130 )
& ( X128 != X130 )
& ( X128 != X129 ) )
& ! [X131: $int,X132: $int,X133: $int] :
~ ( $less(X132,X131)
& ( 2 = b(X133) )
& $less(b(X132),3)
& ( 8 = a(X133) )
& ( 10 = a(X132) )
& ( 1 = a(X131) )
& ( X132 != X133 )
& ( X131 != X133 )
& ( X131 != X132 ) )
& ! [X134: $int,X135: $int,X136: $int] :
~ ( $less(X135,X134)
& ( 2 = b(X135) )
& ( 5 = b(X134) )
& ( 4 = a(X136) )
& ( 10 = a(X135) )
& ( 5 = a(X134) )
& ( X135 != X136 )
& ( X134 != X136 )
& ( X134 != X135 ) )
& ! [X137: $int,X138: $int,X139: $int] :
~ ( $less(X138,X137)
& ( 2 = b(X138) )
& ( 5 = b(X137) )
& ( 5 = a(X139) )
& ( 10 = a(X138) )
& ( 4 = a(X137) )
& ( X138 != X139 )
& ( X137 != X139 )
& ( X137 != X138 ) )
& ! [X140: $int,X141: $int,X142: $int,X143: $int] :
~ ( $less(X141,X140)
& ( 5 = b(X143) )
& $less(b(X142),4)
& ( 2 = b(X141) )
& ( 7 = a(X142) )
& ( 10 = a(X141) )
& ( 2 = a(X140) )
& ( X142 != X143 )
& ( X141 != X143 )
& ( X141 != X142 )
& ( X140 != X143 )
& ( X140 != X142 )
& ( X140 != X141 ) )
& ! [X144: $int,X145: $int,X146: $int] :
~ ( $less(X145,X144)
& $less(b(X146),4)
& ( 2 = b(X145) )
& ( 5 = b(X144) )
& ( 7 = a(X146) )
& ( 10 = a(X145) )
& ( 2 = a(X144) )
& ( X145 != X146 )
& ( X144 != X146 )
& ( X144 != X145 ) )
& ! [X147: $int,X148: $int,X149: $int] :
~ ( $less(X148,X147)
& $less(b(X149),4)
& ( 2 = b(X148) )
& ( 8 = a(X149) )
& ( 10 = a(X148) )
& ( 1 = a(X147) )
& ( X148 != X149 )
& ( X147 != X149 )
& ( X147 != X148 ) )
& ! [X150: $int,X151: $int,X152: $int] :
~ ( $less(X151,X150)
& ( 2 = b(X151) )
& ( 5 = b(X150) )
& ( 4 = a(X152) )
& ( 10 = a(X151) )
& ( 6 = a(X150) )
& ( X151 != X152 )
& ( X150 != X152 )
& ( X150 != X151 ) )
& ! [X153: $int,X154: $int,X155: $int,X156: $int] :
~ ( $less(X154,X153)
& ( 2 = b(X156) )
& ( 2 = b(X155) )
& $less(b(X154),3)
& ( 5 = b(X153) )
& ( 5 = a(X155) )
& ( 10 = a(X154) )
& ( 5 = a(X153) )
& ( X155 != X156 )
& ( X154 != X156 )
& ( X154 != X155 )
& ( X153 != X156 )
& ( X153 != X155 )
& ( X153 != X154 ) )
& ! [X157: $int,X158: $int,X159: $int,X160: $int] :
~ ( $less(X158,X157)
& ( 5 = b(X160) )
& ( 2 = b(X159) )
& $less(b(X158),3)
& $less(b(X157),4)
& ( 7 = a(X159) )
& ( 10 = a(X158) )
& ( 3 = a(X157) )
& ( X159 != X160 )
& ( X158 != X160 )
& ( X158 != X159 )
& ( X157 != X160 )
& ( X157 != X159 )
& ( X157 != X158 ) )
& ! [X161: $int,X162: $int,X163: $int] :
~ ( $less(X162,X161)
& ( 2 = b(X163) )
& $less(b(X162),3)
& ( 8 = a(X163) )
& ( 10 = a(X162) )
& ( 2 = a(X161) )
& ( X162 != X163 )
& ( X161 != X163 )
& ( X161 != X162 ) )
& ! [X164: $int,X165: $int,X166: $int] :
~ ( $less(X165,X164)
& ( 2 = b(X165) )
& ( 5 = b(X164) )
& ( 5 = a(X166) )
& ( 10 = a(X165) )
& ( 5 = a(X164) )
& ( X165 != X166 )
& ( X164 != X166 )
& ( X164 != X165 ) )
& ! [X167: $int,X168: $int,X169: $int] :
~ ( $less(X168,X167)
& ( 2 = b(X168) )
& ( 5 = b(X167) )
& ( 6 = a(X169) )
& ( 10 = a(X168) )
& ( 4 = a(X167) )
& ( X168 != X169 )
& ( X167 != X169 )
& ( X167 != X168 ) )
& ! [X170: $int,X171: $int,X172: $int,X173: $int] :
~ ( $less(X171,X170)
& ( 5 = b(X173) )
& $less(b(X172),4)
& ( 2 = b(X171) )
& $less(b(X170),4)
& ( 7 = a(X172) )
& ( 10 = a(X171) )
& ( 3 = a(X170) )
& ( X172 != X173 )
& ( X171 != X173 )
& ( X171 != X172 )
& ( X170 != X173 )
& ( X170 != X172 )
& ( X170 != X171 ) )
& ! [X174: $int,X175: $int,X176: $int] :
~ ( $less(X175,X174)
& $less(b(X176),4)
& ( 2 = b(X175) )
& ( 8 = a(X176) )
& ( 10 = a(X175) )
& ( 2 = a(X174) )
& ( X175 != X176 )
& ( X174 != X176 )
& ( X174 != X175 ) )
& ! [X177: $int,X178: $int,X179: $int] :
~ ( $less(X178,X177)
& ( 2 = b(X178) )
& ( 5 = b(X177) )
& ( 4 = a(X179) )
& ( 10 = a(X178) )
& ( 7 = a(X177) )
& ( X178 != X179 )
& ( X177 != X179 )
& ( X177 != X178 ) )
& ! [X180: $int,X181: $int,X182: $int,X183: $int] :
~ ( $less(X181,X180)
& ( 2 = b(X183) )
& $less(b(X181),3)
& ( 5 = b(X180) )
& ( 5 = a(X182) )
& ( 10 = a(X181) )
& ( 6 = a(X180) )
& ( X182 != X183 )
& ( X181 != X183 )
& ( X181 != X182 )
& ( X180 != X183 )
& ( X180 != X182 )
& ( X180 != X181 ) )
& ! [X184: $int,X185: $int,X186: $int] :
~ ( $less(X185,X184)
& ( 2 = b(X185) )
& ( 5 = b(X184) )
& ( 5 = a(X186) )
& ( 10 = a(X185) )
& ( 6 = a(X184) )
& ( X185 != X186 )
& ( X184 != X186 )
& ( X184 != X185 ) )
& ! [X187: $int,X188: $int,X189: $int,X190: $int] :
~ ( $less(X188,X187)
& ( 2 = b(X190) )
& $less(b(X188),3)
& ( 5 = b(X187) )
& ( 6 = a(X189) )
& ( 10 = a(X188) )
& ( 5 = a(X187) )
& ( X189 != X190 )
& ( X188 != X190 )
& ( X188 != X189 )
& ( X187 != X190 )
& ( X187 != X189 )
& ( X187 != X188 ) )
& ! [X191: $int,X192: $int,X193: $int] :
~ ( $less(X192,X191)
& ( 2 = b(X193) )
& $less(b(X192),3)
& ( 5 = b(X191) )
& ( 6 = a(X193) )
& ( 10 = a(X192) )
& ( 5 = a(X191) )
& ( X192 != X193 )
& ( X191 != X193 )
& ( X191 != X192 ) )
& ! [X194: $int,X195: $int,X196: $int,X197: $int] :
~ ( $less(X195,X194)
& ( 5 = b(X197) )
& ( 2 = b(X196) )
& $less(b(X195),3)
& ( 7 = a(X196) )
& ( 10 = a(X195) )
& ( 4 = a(X194) )
& ( X196 != X197 )
& ( X195 != X197 )
& ( X195 != X196 )
& ( X194 != X197 )
& ( X194 != X196 )
& ( X194 != X195 ) )
& ! [X198: $int,X199: $int,X200: $int] :
~ ( $less(X199,X198)
& ( 2 = b(X200) )
& $less(b(X199),3)
& ( 5 = b(X198) )
& ( 7 = a(X200) )
& ( 10 = a(X199) )
& ( 4 = a(X198) )
& ( X199 != X200 )
& ( X198 != X200 )
& ( X198 != X199 ) )
& ! [X201: $int,X202: $int,X203: $int] :
~ ( $less(X202,X201)
& ( 2 = b(X203) )
& $less(b(X202),3)
& $less(b(X201),4)
& ( 8 = a(X203) )
& ( 10 = a(X202) )
& ( 3 = a(X201) )
& ( X202 != X203 )
& ( X201 != X203 )
& ( X201 != X202 ) )
& ! [X204: $int,X205: $int,X206: $int] :
~ ( $less(X205,X204)
& ( 2 = b(X205) )
& ( 5 = b(X204) )
& ( 6 = a(X206) )
& ( 10 = a(X205) )
& ( 5 = a(X204) )
& ( X205 != X206 )
& ( X204 != X206 )
& ( X204 != X205 ) )
& ! [X207: $int,X208: $int,X209: $int] :
~ ( $less(X208,X207)
& ( 2 = b(X208) )
& ( 5 = b(X207) )
& ( 7 = a(X209) )
& ( 10 = a(X208) )
& ( 4 = a(X207) )
& ( X208 != X209 )
& ( X207 != X209 )
& ( X207 != X208 ) )
& ! [X210: $int,X211: $int,X212: $int] :
~ ( $less(X211,X210)
& $less(b(X212),4)
& ( 2 = b(X211) )
& $less(b(X210),4)
& ( 8 = a(X212) )
& ( 10 = a(X211) )
& ( 3 = a(X210) )
& ( X211 != X212 )
& ( X210 != X212 )
& ( X210 != X211 ) )
& ! [X213: $int,X214: $int,X215: $int,X216: $int] :
~ ( $less(X214,X213)
& ( 2 = b(X216) )
& $less(b(X214),3)
& ( 5 = b(X213) )
& ( 5 = a(X215) )
& ( 10 = a(X214) )
& ( 7 = a(X213) )
& ( X215 != X216 )
& ( X214 != X216 )
& ( X214 != X215 )
& ( X213 != X216 )
& ( X213 != X215 )
& ( X213 != X214 ) )
& ! [X217: $int,X218: $int,X219: $int] :
~ ( $less(X218,X217)
& ( 2 = b(X218) )
& ( 5 = b(X217) )
& ( 5 = a(X219) )
& ( 10 = a(X218) )
& ( 7 = a(X217) )
& ( X218 != X219 )
& ( X217 != X219 )
& ( X217 != X218 ) )
& ! [X220: $int,X221: $int,X222: $int] :
~ ( $less(X221,X220)
& $less(b(X221),3)
& ( 5 = b(X220) )
& ( 6 = a(X222) )
& ( 10 = a(X221) )
& ( 6 = a(X220) )
& ( X221 != X222 )
& ( X220 != X222 )
& ( X220 != X221 ) )
& ! [X223: $int,X224: $int,X225: $int,X226: $int] :
~ ( $less(X224,X223)
& ( 2 = b(X226) )
& $less(b(X224),3)
& ( 5 = b(X223) )
& ( 7 = a(X225) )
& ( 10 = a(X224) )
& ( 5 = a(X223) )
& ( X225 != X226 )
& ( X224 != X226 )
& ( X224 != X225 )
& ( X223 != X226 )
& ( X223 != X225 )
& ( X223 != X224 ) )
& ! [X227: $int,X228: $int,X229: $int] :
~ ( $less(X228,X227)
& ( 2 = b(X229) )
& $less(b(X228),3)
& ( 5 = b(X227) )
& ( 7 = a(X229) )
& ( 10 = a(X228) )
& ( 5 = a(X227) )
& ( X228 != X229 )
& ( X227 != X229 )
& ( X227 != X228 ) )
& ! [X230: $int,X231: $int,X232: $int] :
~ ( $less(X231,X230)
& ( 2 = b(X232) )
& $less(b(X231),3)
& ( 8 = a(X232) )
& ( 10 = a(X231) )
& ( 4 = a(X230) )
& ( X231 != X232 )
& ( X230 != X232 )
& ( X230 != X231 ) )
& ! [X233: $int,X234: $int,X235: $int] :
~ ( $less(X234,X233)
& ( 2 = b(X234) )
& ( 5 = b(X233) )
& ( 7 = a(X235) )
& ( 10 = a(X234) )
& ( 5 = a(X233) )
& ( X234 != X235 )
& ( X233 != X235 )
& ( X233 != X234 ) )
& ! [X236: $int,X237: $int,X238: $int] :
~ ( $less(X237,X236)
& ( 2 = b(X237) )
& ( 8 = a(X238) )
& ( 10 = a(X237) )
& ( 4 = a(X236) )
& ( X237 != X238 )
& ( X236 != X238 )
& ( X236 != X237 ) )
& ! [X239: $int,X240: $int,X241: $int] :
~ ( $less(X240,X239)
& $less(b(X240),3)
& ( 5 = b(X239) )
& ( 6 = a(X241) )
& ( 10 = a(X240) )
& ( 7 = a(X239) )
& ( X240 != X241 )
& ( X239 != X241 )
& ( X239 != X240 ) )
& ! [X242: $int,X243: $int,X244: $int] :
~ ( $less(X243,X242)
& $less(b(X243),3)
& ( 5 = b(X242) )
& ( 7 = a(X244) )
& ( 10 = a(X243) )
& ( 6 = a(X242) )
& ( X243 != X244 )
& ( X242 != X244 )
& ( X242 != X243 ) )
& ! [X245: $int,X246: $int,X247: $int,X248: $int] :
~ ( $less(X246,X245)
& ( 2 = b(X248) )
& $less(b(X246),3)
& ( 8 = a(X247) )
& ( 10 = a(X246) )
& ( 5 = a(X245) )
& ( X247 != X248 )
& ( X246 != X248 )
& ( X246 != X247 )
& ( X245 != X248 )
& ( X245 != X247 )
& ( X245 != X246 ) )
& ! [X249: $int,X250: $int,X251: $int] :
~ ( $less(X250,X249)
& ( 2 = b(X251) )
& $less(b(X250),3)
& ( 8 = a(X251) )
& ( 10 = a(X250) )
& ( 5 = a(X249) )
& ( X250 != X251 )
& ( X249 != X251 )
& ( X249 != X250 ) )
& ! [X252: $int,X253: $int,X254: $int] :
~ ( $less(X253,X252)
& ( 2 = b(X253) )
& ( 8 = a(X254) )
& ( 10 = a(X253) )
& ( 5 = a(X252) )
& ( X253 != X254 )
& ( X252 != X254 )
& ( X252 != X253 ) )
& ! [X255: $int,X256: $int,X257: $int] :
~ ( $less(X256,X255)
& ( 5 = b(X257) )
& ( 2 = b(X256) )
& ( 10 = a(X256) )
& ( 4 = a(X255) )
& ( X256 != X257 )
& ( X255 != X257 )
& ( X255 != X256 ) )
& ! [X258: $int,X259: $int,X260: $int] :
~ ( $less(X259,X258)
& $less(b(X259),3)
& ( 5 = b(X258) )
& ( 7 = a(X260) )
& ( 10 = a(X259) )
& ( 7 = a(X258) )
& ( X259 != X260 )
& ( X258 != X260 )
& ( X258 != X259 ) )
& ! [X261: $int,X262: $int,X263: $int] :
~ ( $less(X262,X261)
& $less(b(X262),3)
& ( 8 = a(X263) )
& ( 10 = a(X262) )
& ( 6 = a(X261) )
& ( X262 != X263 )
& ( X261 != X263 )
& ( X261 != X262 ) )
& ! [X264: $int,X265: $int,X266: $int,X267: $int] :
~ ( $less(X265,X264)
& ( 2 = b(X267) )
& ( 5 = b(X266) )
& $less(b(X265),3)
& ( 10 = a(X265) )
& ( 5 = a(X264) )
& ( X266 != X267 )
& ( X265 != X267 )
& ( X265 != X266 )
& ( X264 != X267 )
& ( X264 != X266 )
& ( X264 != X265 ) )
& ! [X268: $int,X269: $int,X270: $int] :
~ ( $less(X269,X268)
& ( 5 = b(X270) )
& ( 2 = b(X269) )
& ( 10 = a(X269) )
& ( 5 = a(X268) )
& ( X269 != X270 )
& ( X268 != X270 )
& ( X268 != X269 ) )
& ! [X271: $int,X272: $int,X273: $int] :
~ ( $less(X272,X271)
& $less(b(X272),3)
& ( 8 = a(X273) )
& ( 10 = a(X272) )
& ( 7 = a(X271) )
& ( X272 != X273 )
& ( X271 != X273 )
& ( X271 != X272 ) )
& ! [X274: $int,X275: $int,X276: $int] :
~ ( $less(X275,X274)
& ( 5 = b(X276) )
& $less(b(X275),3)
& ( 10 = a(X275) )
& ( 6 = a(X274) )
& ( X275 != X276 )
& ( X274 != X276 )
& ( X274 != X275 ) )
& ! [X277: $int,X278: $int,X279: $int] :
~ ( $less(X278,X277)
& ( 5 = b(X279) )
& $less(b(X278),3)
& ( 10 = a(X278) )
& ( 7 = a(X277) )
& ( X278 != X279 )
& ( X277 != X279 )
& ( X277 != X278 ) )
& ! [X280: $int,X281: $int] :
~ ( $less(X281,X280)
& $less(b(X281),3)
& ( 10 = a(X281) )
& ( 8 = a(X280) )
& ( X280 != X281 ) )
& ! [X282: $int,X283: $int] :
~ ( $less(X283,X282)
& $less(b(X283),3)
& ( 10 = a(X283) )
& ( 9 = a(X282) )
& ( X282 != X283 ) )
& ! [X284: $int,X285: $int] :
~ ( ( 10 = a(X285) )
& ( 10 = a(X284) )
& ( X284 != X285 ) )
& ( z4 != z5 )
& ( z3 != z5 )
& ( z3 != z4 )
& ( z2 != z5 )
& ( z2 != z4 )
& ( z2 != z3 )
& ( z1 != z5 )
& ( z1 != z4 )
& ( z1 != z3 )
& ( z1 != z2 )
& $true
& ! [X286: $int] :
( ~ $less(5,b(X286))
& ~ $less(b(X286),1) )
& ! [X287: $int] :
( ~ $less(12,a(X287))
& ~ $less(a(X287),1) ) )
=> ~ ( $less(z2,z1)
& ( 5 = b(z4) )
& ( 5 = b(z3) )
& $less(b(z2),3)
& ( 1 = a(z4) )
& ( 7 = a(z3) )
& ( 10 = a(z2) )
& ( 5 = a(z1) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ( ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 1 = a(X3) )
& ( 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)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 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,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X2),4)
& $less(b(X1),3)
& $less(b(X0),4)
& ( 8 = 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,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( 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,X3: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( 8 = 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,X3: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 1 = a(X3) )
& ( 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,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 2 = a(X3) )
& ( 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,X3: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 2 = a(X3) )
& ( 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,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( 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)
& ( 1 = 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,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( 8 = 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,X3: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( 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,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)
& ( 5 = b(z4) )
& ( 5 = b(z3) )
& $less(b(z2),3)
& ( 1 = a(z4) )
& ( 7 = a(z3) )
& ( 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)
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 1 = a(X3) )
& ( 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)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 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,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X2),4)
& $less(b(X1),3)
& $less(b(X0),4)
& ( 8 = 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,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( 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,X3: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( 8 = 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,X3: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 1 = a(X3) )
& ( 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,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 2 = a(X3) )
& ( 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,X3: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 2 = a(X3) )
& ( 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,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( 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)
& ( 1 = 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,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( 8 = 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,X3: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( 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,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)
& ( 5 = b(z4) )
& ( 5 = b(z3) )
& $less(b(z2),3)
& ( 1 = a(z4) )
& ( 7 = a(z3) )
& ( 10 = a(z2) )
& ( 5 = a(z1) ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 1 = a(X3) )
& ( 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)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 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,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X2),4)
& $less(b(X1),3)
& $less(b(X0),4)
& ( 8 = 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,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( 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,X3: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( 8 = 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,X3: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 1 = a(X3) )
& ( 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,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 2 = a(X3) )
& ( 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,X3: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 2 = a(X3) )
& ( 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,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( 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)
& ( 1 = 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,X3: $int] :
~ ( $less(X1,X0)
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( 8 = 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,X3: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( 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,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)
& ( 5 = b(z4) )
& ( 5 = b(z3) )
& $less(b(z2),3)
& ( 1 = a(z4) )
& ( 7 = a(z3) )
& ( 10 = a(z2) )
& ( 5 = a(z1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).
tff(f499,plain,
z1 = z4,
inference(subsumption_resolution,[],[f498,f29]) ).
tff(f29,plain,
z2 != z4,
inference(cnf_transformation,[],[f19]) ).
tff(f498,plain,
( ( z2 = z4 )
| ( z1 = z4 ) ),
inference(subsumption_resolution,[],[f497,f31]) ).
tff(f31,plain,
z3 != z4,
inference(cnf_transformation,[],[f19]) ).
tff(f497,plain,
( ( z3 = z4 )
| ( z2 = z4 )
| ( z1 = z4 ) ),
inference(trivial_inequality_removal,[],[f496]) ).
tff(f496,plain,
( ( 1 != 1 )
| ( z3 = z4 )
| ( z2 = z4 )
| ( z1 = z4 ) ),
inference(superposition,[],[f488,f123]) ).
tff(f123,plain,
1 = a(z4),
inference(cnf_transformation,[],[f19]) ).
tff(f488,plain,
! [X0: $int] :
( ( 1 != a(X0) )
| ( z3 = X0 )
| ( z2 = X0 )
| ( z1 = X0 ) ),
inference(subsumption_resolution,[],[f487,f24]) ).
tff(f24,plain,
z1 != z2,
inference(cnf_transformation,[],[f19]) ).
tff(f487,plain,
! [X0: $int] :
( ( 1 != a(X0) )
| ( z3 = X0 )
| ( z2 = X0 )
| ( z1 = X0 )
| ( z1 = z2 ) ),
inference(subsumption_resolution,[],[f486,f28]) ).
tff(f28,plain,
z2 != z3,
inference(cnf_transformation,[],[f19]) ).
tff(f486,plain,
! [X0: $int] :
( ( 1 != a(X0) )
| ( z3 = X0 )
| ( z2 = X0 )
| ( z2 = z3 )
| ( z1 = X0 )
| ( z1 = z2 ) ),
inference(subsumption_resolution,[],[f485,f127]) ).
tff(f127,plain,
$less(z2,z1),
inference(cnf_transformation,[],[f19]) ).
tff(f485,plain,
! [X0: $int] :
( ( 1 != a(X0) )
| ~ $less(z2,z1)
| ( z3 = X0 )
| ( z2 = X0 )
| ( z2 = z3 )
| ( z1 = X0 )
| ( z1 = z2 ) ),
inference(subsumption_resolution,[],[f482,f121]) ).
tff(f121,plain,
10 = a(z2),
inference(cnf_transformation,[],[f19]) ).
tff(f482,plain,
! [X0: $int] :
( ( 1 != a(X0) )
| ( 10 != a(z2) )
| ~ $less(z2,z1)
| ( z3 = X0 )
| ( z2 = X0 )
| ( z2 = z3 )
| ( z1 = X0 )
| ( z1 = z2 ) ),
inference(resolution,[],[f481,f124]) ).
tff(f124,plain,
$less(b(z2),3),
inference(cnf_transformation,[],[f19]) ).
tff(f481,plain,
! [X0: $int,X1: $int] :
( ~ $less(b(X0),3)
| ( 1 != a(X1) )
| ( a(X0) != 10 )
| ~ $less(X0,z1)
| ( z3 = X1 )
| ( X0 = X1 )
| ( z3 = X0 )
| ( z1 = X1 )
| ( z1 = X0 ) ),
inference(subsumption_resolution,[],[f480,f25]) ).
tff(f25,plain,
z1 != z3,
inference(cnf_transformation,[],[f19]) ).
tff(f480,plain,
! [X0: $int,X1: $int] :
( ~ $less(b(X0),3)
| ( 1 != a(X1) )
| ( a(X0) != 10 )
| ~ $less(X0,z1)
| ( z3 = X1 )
| ( X0 = X1 )
| ( z3 = X0 )
| ( z1 = X1 )
| ( z1 = z3 )
| ( z1 = X0 ) ),
inference(trivial_inequality_removal,[],[f476]) ).
tff(f476,plain,
! [X0: $int,X1: $int] :
( ( 5 != 5 )
| ~ $less(b(X0),3)
| ( 1 != a(X1) )
| ( a(X0) != 10 )
| ~ $less(X0,z1)
| ( z3 = X1 )
| ( X0 = X1 )
| ( z3 = X0 )
| ( z1 = X1 )
| ( z1 = z3 )
| ( z1 = X0 ) ),
inference(superposition,[],[f454,f120]) ).
tff(f120,plain,
5 = a(z1),
inference(cnf_transformation,[],[f19]) ).
tff(f454,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( 5 != a(X1) )
| ~ $less(b(X0),3)
| ( 1 != a(X2) )
| ( a(X0) != 10 )
| ~ $less(X0,X1)
| ( z3 = X2 )
| ( X0 = X2 )
| ( z3 = X0 )
| ( X1 = X2 )
| ( z3 = X1 )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f451]) ).
tff(f451,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( 5 != 5 )
| ~ $less(X0,X1)
| ~ $less(b(X0),3)
| ( 1 != a(X2) )
| ( a(X0) != 10 )
| ( 5 != a(X1) )
| ( z3 = X2 )
| ( X0 = X2 )
| ( z3 = X0 )
| ( X1 = X2 )
| ( z3 = X1 )
| ( X0 = X1 ) ),
inference(superposition,[],[f109,f125]) ).
tff(f125,plain,
5 = b(z3),
inference(cnf_transformation,[],[f19]) ).
tff(f109,plain,
! [X40: $int,X41: $int,X42: $int,X43: $int] :
( ( 5 != b(X42) )
| ~ $less(X41,X40)
| ~ $less(b(X41),3)
| ( 1 != a(X43) )
| ( 10 != a(X41) )
| ( 5 != a(X40) )
| ( X42 = X43 )
| ( X41 = X43 )
| ( X41 = X42 )
| ( X40 = X43 )
| ( X40 = X42 )
| ( X40 = X41 ) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW004_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 19:33:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (14816)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (14820)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (14820)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (14820)Terminated due to inappropriate strategy.
% 0.14/0.38 % (14820)------------------------------
% 0.14/0.38 % (14820)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (14820)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (14820)Memory used [KB]: 1162
% 0.14/0.38 % (14820)Time elapsed: 0.004 s
% 0.14/0.38 % (14820)Instructions burned: 16 (million)
% 0.14/0.38 % (14820)------------------------------
% 0.14/0.38 % (14820)------------------------------
% 0.14/0.38 % (14819)WARNING: value z3 for option sas not known
% 0.14/0.38 % (14817)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (14818)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (14819)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)
% 0.14/0.38 % (14822)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)
% 0.14/0.38 % (14821)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)
% 0.14/0.38 % (14823)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 % (14824)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.14/0.39 % (14817)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (14818)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (14817)Terminated due to inappropriate strategy.
% 0.14/0.39 % (14817)------------------------------
% 0.14/0.39 % (14817)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (14818)Terminated due to inappropriate strategy.
% 0.14/0.39 % (14818)------------------------------
% 0.14/0.39 % (14818)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (14817)Termination reason: Inappropriate
% 0.14/0.39
% 0.14/0.39 % (14818)Termination reason: Inappropriate
% 0.14/0.39
% 0.14/0.39 % (14817)Memory used [KB]: 1162
% 0.14/0.39 % (14818)Memory used [KB]: 1162
% 0.14/0.39 % (14817)Time elapsed: 0.008 s
% 0.14/0.39 % (14818)Time elapsed: 0.008 s
% 0.14/0.39 % (14817)Instructions burned: 15 (million)
% 0.14/0.39 % (14818)Instructions burned: 15 (million)
% 0.14/0.39 % (14818)------------------------------
% 0.14/0.39 % (14818)------------------------------
% 0.14/0.39 % (14817)------------------------------
% 0.14/0.39 % (14817)------------------------------
% 0.14/0.39 % (14824)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.39 % (14824)Terminated due to inappropriate strategy.
% 0.14/0.39 % (14824)------------------------------
% 0.14/0.39 % (14824)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (14824)Termination reason: Inappropriate
% 0.14/0.39
% 0.14/0.39 % (14824)Memory used [KB]: 1162
% 0.14/0.39 % (14824)Time elapsed: 0.005 s
% 0.14/0.39 % (14824)Instructions burned: 17 (million)
% 0.14/0.39 % (14824)------------------------------
% 0.14/0.39 % (14824)------------------------------
% 0.20/0.40 % (14827)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)
% 0.20/0.40 % (14825)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)
% 0.20/0.40 % (14826)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)
% 0.20/0.44 % (14826)First to succeed.
% 0.20/0.46 % (14826)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14816"
% 0.20/0.46 % (14826)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status Theorem for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46 % (14826)------------------------------
% 0.20/0.46 % (14826)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.46 % (14826)Termination reason: Refutation
% 0.20/0.46
% 0.20/0.46 % (14826)Memory used [KB]: 1410
% 0.20/0.46 % (14826)Time elapsed: 0.054 s
% 0.20/0.46 % (14826)Instructions burned: 127 (million)
% 0.20/0.46 % (14816)Success in time 0.097 s
%------------------------------------------------------------------------------