TSTP Solution File: SWW003_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWW003_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n012.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 : Wed Aug 31 19:15:12 EDT 2022
% Result : Theorem 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 5 unt; 7 typ; 0 def)
% Number of atoms : 6627 (5478 equ)
% Maximal formula atoms : 827 ( 389 avg)
% Number of connectives : 10160 (3550 ~;2178 |;4427 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 118 ( 55 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 6686 (1144 atm; 0 fun;3426 num;2116 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 : 2116 (2116 !; 0 ?;2116 :)
% 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(f146,plain,
$false,
inference(subsumption_resolution,[],[f145,f61]) ).
tff(f61,plain,
z2 != z4,
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(b(X0),3)
| ( X0 = X1 )
| ~ $less(X0,X1)
| ( a(X0) != 10 )
| ( a(X1) != 9 ) )
& ! [X2: $int,X3: $int,X4: $int,X5: $int] :
( ( 7 != a(X4) )
| ( X2 = X5 )
| ( b(X2) != 2 )
| ( X4 = X5 )
| ~ $less(X3,X5)
| ~ $less(b(X3),3)
| ( 5 != a(X5) )
| ( 5 != b(X5) )
| ( X2 = X4 )
| ( X2 = X3 )
| ( 10 != a(X3) )
| ( X3 = X4 )
| ( X3 = X5 ) )
& ! [X6: $int,X7: $int,X8: $int] :
( ( 10 != a(X7) )
| ( X6 = X7 )
| ( X7 = X8 )
| ( 4 != a(X8) )
| ( 8 != a(X6) )
| ( X6 = X8 )
| ~ $less(X7,X8)
| ~ $less(b(X7),3)
| ( 2 != b(X6) ) )
& ! [X9: $int,X10: $int,X11: $int] :
( ( 6 != a(X10) )
| ( 10 != a(X9) )
| ( X10 = X11 )
| ~ $less(X9,X11)
| ( X9 = X11 )
| ( 2 != b(X9) )
| ( 5 != b(X11) )
| ( X9 = X10 )
| ( 4 != a(X11) ) )
& ! [X12: $int,X13: $int,X14: $int,X15: $int] :
( ( X13 = X14 )
| ( 7 != a(X12) )
| ~ $less(X14,X13)
| ( X12 = X13 )
| ( X12 = X15 )
| ~ $less(b(X13),4)
| ~ $less(b(X14),3)
| ( 3 != a(X13) )
| ( X12 = X14 )
| ( 10 != a(X14) )
| ( 2 != b(X12) )
| ( X13 = X15 )
| ( X14 = X15 )
| ( 5 != b(X15) ) )
& ! [X16: $int,X17: $int,X18: $int] :
( ( 10 != a(X16) )
| ~ $less(X16,X18)
| ( X16 = X17 )
| ( X16 = X18 )
| ( 1 != a(X18) )
| ( X17 = X18 )
| ( 2 != b(X16) )
| ( 5 != a(X17) )
| ( 5 != b(X18) ) )
& ! [X19: $int] :
( ~ $less(a(X19),1)
& ~ $less(12,a(X19)) )
& ( 2 = b(z4) )
& ! [X20: $int,X21: $int,X22: $int] :
( ( X20 = X22 )
| ~ $less(b(X22),3)
| ~ $less(X22,X20)
| ( 10 != a(X22) )
| ( 2 != b(X21) )
| ( 5 != a(X20) )
| ( 5 != b(X20) )
| ( X20 = X21 )
| ( X21 = X22 )
| ( 6 != a(X21) ) )
& ! [X23: $int,X24: $int,X25: $int,X26: $int] :
( ( 10 != a(X23) )
| ( 2 != b(X24) )
| ( X24 = X25 )
| ( 5 != b(X25) )
| ( X25 = X26 )
| ( X23 = X25 )
| ( X23 = X24 )
| ( X24 = X26 )
| ( 5 != a(X26) )
| ( 7 != a(X25) )
| ( X23 = X26 )
| ~ $less(b(X23),3)
| ~ $less(X23,X25) )
& ( z3 != z5 )
& ! [X27: $int,X28: $int,X29: $int] :
( ( 12 != a(X29) )
| ( 6 != a(X28) )
| ( X28 = X29 )
| ( X27 = X29 )
| ( 2 != b(X27) )
| ~ $less(X27,X29)
| ( X27 = X28 )
| ( 5 != b(X29) )
| ( 10 != a(X27) ) )
& ! [X30: $int,X31: $int,X32: $int] :
( ( X31 = X32 )
| ( 7 != a(X32) )
| ( 10 != a(X31) )
| ( X30 = X32 )
| ( 6 != a(X30) )
| ( X30 = X31 )
| ~ $less(X31,X30)
| ~ $less(b(X31),3)
| ( 5 != b(X30) ) )
& ! [X33: $int,X34: $int,X35: $int] :
( ~ $less(X35,X33)
| ( 8 != a(X34) )
| ~ $less(b(X34),4)
| ( 2 != a(X33) )
| ( X33 = X35 )
| ( X34 = X35 )
| ( X33 = X34 )
| ( 2 != b(X35) )
| ( 10 != a(X35) ) )
& ! [X36: $int,X37: $int,X38: $int,X39: $int] :
( ( X36 = X38 )
| ( 7 != a(X38) )
| ( 5 != b(X36) )
| ~ $less(X37,X39)
| ~ $less(b(X37),3)
| ( X37 = X38 )
| ( X38 = X39 )
| ( 2 != b(X38) )
| ( 10 != a(X37) )
| ( X36 = X39 )
| ( X37 = X39 )
| ( X36 = X37 )
| ( 4 != a(X39) ) )
& ! [X40: $int,X41: $int,X42: $int] :
( ~ $less(X42,X40)
| ( 2 != b(X42) )
| ( 2 != a(X40) )
| ( X40 = X42 )
| ( 6 != a(X41) )
| ( 5 != b(X40) )
| ( 10 != a(X42) )
| ( X40 = X41 )
| ( X41 = X42 ) )
& ! [X43: $int,X44: $int,X45: $int] :
( ( X44 = X45 )
| ( 2 != b(X45) )
| ( X43 = X45 )
| ( 12 != a(X44) )
| ~ $less(b(X43),3)
| ( 10 != a(X43) )
| ~ $less(X43,X44)
| ( 8 != a(X45) )
| ( X43 = X44 ) )
& ! [X46: $int,X47: $int,X48: $int,X49: $int] :
( ~ $less(b(X48),3)
| ~ $less(X48,X46)
| ( X47 = X49 )
| ( 2 != a(X47) )
| ( 5 != a(X46) )
| ( X48 = X49 )
| ( 10 != a(X48) )
| ( X46 = X48 )
| ( X47 = X48 )
| ( X46 = X47 )
| ( 5 != b(X49) )
| ( X46 = X49 ) )
& ! [X50: $int,X51: $int,X52: $int] :
( ( 7 != a(X52) )
| ~ $less(X50,X52)
| ( 10 != a(X50) )
| ( X50 = X51 )
| ( X51 = X52 )
| ~ $less(b(X50),3)
| ( X50 = X52 )
| ( 8 != a(X51) ) )
& ! [X53: $int,X54: $int,X55: $int] :
( ( 12 != a(X54) )
| ( 10 != a(X53) )
| ~ $less(X53,X54)
| ( 5 != a(X55) )
| ( X53 = X55 )
| ( X54 = X55 )
| ( X53 = X54 )
| ( 5 != b(X54) )
| ( 2 != b(X53) ) )
& ( z2 != z5 )
& ! [X56: $int,X57: $int,X58: $int,X59: $int] :
( ( 10 != a(X59) )
| ( 7 != a(X57) )
| ( X56 = X58 )
| ( X57 = X58 )
| ( X56 = X57 )
| ( X57 = X59 )
| ~ $less(b(X59),3)
| ~ $less(X59,X57)
| ( 5 != a(X58) )
| ( X58 = X59 )
| ( X56 = X59 )
| ( 5 != b(X57) )
| ( 2 != a(X56) ) )
& ! [X60: $int,X61: $int,X62: $int] :
( ( 5 != b(X61) )
| ( 10 != a(X62) )
| ~ $less(X62,X61)
| ( X60 = X61 )
| ( 7 != a(X61) )
| ~ $less(b(X62),3)
| ( 6 != a(X60) )
| ( X61 = X62 )
| ( X60 = X62 ) )
& ! [X63: $int,X64: $int,X65: $int] :
( ( X63 = X65 )
| ( 6 != a(X65) )
| ( 5 != a(X64) )
| ( 10 != a(X63) )
| ( X64 = X65 )
| ( X63 = X64 )
| ( 2 != b(X63) )
| ~ $less(X63,X64)
| ( 5 != b(X64) ) )
& ( z4 != z5 )
& ! [X66: $int,X67: $int] :
( ( X66 = X67 )
| ( 10 != a(X66) )
| ( 10 != a(X67) ) )
& ! [X68: $int,X69: $int,X70: $int] :
( ( 2 != b(X69) )
| ( 4 != a(X70) )
| ( X68 = X70 )
| ( 10 != a(X69) )
| ( X68 = X69 )
| ( 7 != a(X68) )
| ( X69 = X70 )
| ( 5 != b(X68) )
| ~ $less(X69,X68) )
& ! [X71: $int,X72: $int,X73: $int,X74: $int] :
( ( X72 = X73 )
| ( X71 = X74 )
| ( 8 != a(X71) )
| ( 2 != a(X74) )
| ( X71 = X72 )
| ~ $less(X72,X73)
| ( X72 = X74 )
| ~ $less(b(X72),3)
| ( X73 = X74 )
| ( 5 != a(X73) )
| ( 10 != a(X72) )
| ( X71 = X73 ) )
& ! [X75: $int,X76: $int,X77: $int,X78: $int] :
( ~ $less(X77,X75)
| ( X76 = X78 )
| ( 5 != b(X75) )
| ( X75 = X76 )
| ( 2 != a(X76) )
| ( 7 != a(X78) )
| ( X75 = X78 )
| ( X75 = X77 )
| ( 5 != a(X75) )
| ( X77 = X78 )
| ~ $less(b(X77),3)
| ( X76 = X77 )
| ( 10 != a(X77) ) )
& ! [X79: $int,X80: $int,X81: $int,X82: $int] :
( ~ $less(b(X82),3)
| ( 10 != a(X82) )
| ( X80 = X81 )
| ( X79 = X82 )
| ( X80 = X82 )
| ( 4 != a(X80) )
| ~ $less(X82,X80)
| ( X81 = X82 )
| ( 8 != a(X79) )
| ( 2 != b(X81) )
| ( X79 = X81 )
| ( X79 = X80 ) )
& ! [X83: $int,X84: $int,X85: $int,X86: $int] :
( ~ $less(X86,X84)
| ( X83 = X85 )
| ( X84 = X86 )
| ( 10 != a(X86) )
| ( X83 = X84 )
| ( X84 = X85 )
| ( X83 = X86 )
| ( 5 != b(X83) )
| ( 2 != a(X85) )
| ( 4 != a(X84) )
| ~ $less(b(X86),3)
| ( X85 = X86 ) )
& ! [X87: $int,X88: $int,X89: $int] :
( ~ $less(X89,X87)
| ( X87 = X88 )
| ( X88 = X89 )
| ( 2 != a(X87) )
| ( 10 != a(X89) )
| ( X87 = X89 )
| ( 2 != b(X89) )
| ( 4 != a(X88) )
| ( 5 != b(X87) ) )
& ( z1 != z3 )
& ! [X90: $int,X91: $int,X92: $int] :
( ( 4 != a(X90) )
| ( X90 = X92 )
| ~ $less(X91,X90)
| ( 10 != a(X91) )
| ( 2 != b(X91) )
| ( X90 = X91 )
| ( 5 != b(X92) )
| ( X91 = X92 ) )
& ! [X93: $int,X94: $int,X95: $int] :
( ( X94 = X95 )
| ( 10 != a(X95) )
| ( X93 = X94 )
| ( X93 = X95 )
| ( 12 != a(X94) )
| ~ $less(X95,X94)
| ( 2 != b(X95) )
| ( 5 != b(X94) )
| ( 4 != a(X93) ) )
& ! [X96: $int,X97: $int,X98: $int] :
( ( X97 = X98 )
| ~ $less(X97,X96)
| ~ $less(b(X98),4)
| ( 8 != a(X98) )
| ( 10 != a(X97) )
| ( X96 = X97 )
| ( 2 != b(X97) )
| ( 12 != a(X96) )
| ( X96 = X98 ) )
& ! [X99: $int,X100: $int,X101: $int,X102: $int] :
( ( 5 != b(X101) )
| ( X100 = X101 )
| ~ $less(X99,X102)
| ( 1 != a(X102) )
| ( X99 = X101 )
| ( 7 != a(X100) )
| ( X99 = X100 )
| ~ $less(b(X100),4)
| ( X100 = X102 )
| ( X99 = X102 )
| ( 2 != b(X99) )
| ( X101 = X102 )
| ( 10 != a(X99) ) )
& ! [X103: $int,X104: $int,X105: $int] :
( ( 5 != b(X103) )
| ( 12 != a(X103) )
| ( X103 = X105 )
| ( 2 != b(X104) )
| ( 7 != a(X105) )
| ~ $less(b(X105),4)
| ~ $less(X104,X103)
| ( X103 = X104 )
| ( 10 != a(X104) )
| ( X104 = X105 ) )
& ! [X106: $int,X107: $int,X108: $int] :
( ~ $less(X106,X107)
| ( X107 = X108 )
| ( X106 = X108 )
| ( 3 != a(X107) )
| ~ $less(b(X106),3)
| ~ $less(b(X107),4)
| ( 8 != a(X108) )
| ( 10 != a(X106) )
| ( X106 = X107 )
| ( 2 != b(X108) ) )
& ! [X109: $int,X110: $int,X111: $int] :
( ~ $less(X110,X109)
| ( 4 != a(X109) )
| ( 2 != b(X110) )
| ( X109 = X111 )
| ( X109 = X110 )
| ( 10 != a(X110) )
| ( X110 = X111 )
| ( 5 != a(X111) )
| ( 5 != b(X109) ) )
& ( 10 = a(z2) )
& ! [X112: $int,X113: $int,X114: $int,X115: $int] :
( ( X112 = X113 )
| ( 10 != a(X115) )
| ( 5 != b(X114) )
| ( X114 = X115 )
| ( 7 != a(X113) )
| ~ $less(X115,X112)
| ( 2 != a(X112) )
| ~ $less(b(X113),4)
| ( X112 = X114 )
| ( 2 != b(X115) )
| ( X113 = X115 )
| ( X113 = X114 )
| ( X112 = X115 ) )
& ! [X116: $int,X117: $int,X118: $int,X119: $int] :
( ( X116 = X118 )
| ( X118 = X119 )
| ( 5 != a(X118) )
| ( 5 != b(X117) )
| ( X116 = X119 )
| ( 10 != a(X116) )
| ( X117 = X119 )
| ( X116 = X117 )
| ( 2 != b(X119) )
| ~ $less(X116,X118)
| ~ $less(b(X116),3)
| ( X117 = X118 ) )
& ! [X120: $int,X121: $int,X122: $int] :
( ~ $less(b(X120),3)
| ( 10 != a(X120) )
| ( 2 != b(X121) )
| ( X120 = X122 )
| ~ $less(X120,X122)
| ( 5 != b(X122) )
| ( X120 = X121 )
| ( X121 = X122 )
| ( 7 != a(X121) )
| ( 5 != a(X122) ) )
& ! [X123: $int,X124: $int,X125: $int] :
( ( 5 != b(X123) )
| ( 12 != a(X123) )
| ( 2 != b(X124) )
| ( 7 != a(X124) )
| ( X123 = X124 )
| ~ $less(X125,X123)
| ( X123 = X125 )
| ( 10 != a(X125) )
| ~ $less(b(X125),3)
| ( X124 = X125 ) )
& $less(z2,z1)
& ( z1 != z2 )
& ! [X126: $int,X127: $int,X128: $int,X129: $int] :
( ( 8 != a(X126) )
| ( X127 = X128 )
| ( 5 != a(X129) )
| ( X126 = X128 )
| ( X126 = X127 )
| ~ $less(X127,X129)
| ( X128 = X129 )
| ( X127 = X129 )
| ~ $less(b(X127),3)
| ( 10 != a(X127) )
| ( 2 != b(X128) )
| ( X126 = X129 ) )
& ! [X130: $int,X131: $int,X132: $int] :
( ( 10 != a(X131) )
| ( 5 != b(X132) )
| ( 5 != a(X132) )
| ( 4 != a(X130) )
| ( X130 = X131 )
| ~ $less(X131,X132)
| ( X131 = X132 )
| ( 2 != b(X131) )
| ( X130 = X132 ) )
& ! [X133: $int,X134: $int,X135: $int] :
( ( X133 = X135 )
| ( 8 != a(X133) )
| ( 10 != a(X135) )
| ( 2 != b(X135) )
| ( X133 = X134 )
| ( X134 = X135 )
| ( 5 != a(X134) )
| ~ $less(X135,X134) )
& ( 5 = b(z1) )
& ! [X136: $int,X137: $int,X138: $int] :
( ~ $less(X136,X138)
| ( 5 != b(X137) )
| ( X136 = X137 )
| ( 6 != a(X138) )
| ( X136 = X138 )
| ( X137 = X138 )
| ~ $less(b(X136),3)
| ( 10 != a(X136) ) )
& ! [X139: $int,X140: $int,X141: $int] :
( ( X139 = X140 )
| ( 1 != a(X141) )
| ( X140 = X141 )
| ( 5 != b(X141) )
| ( 2 != b(X139) )
| ( 4 != a(X140) )
| ~ $less(X139,X141)
| ( X139 = X141 )
| ( 10 != a(X139) ) )
& ! [X142: $int,X143: $int,X144: $int] :
( ( X143 = X144 )
| ( 10 != a(X144) )
| ( 2 != b(X144) )
| ( X142 = X143 )
| ( 5 != a(X142) )
| ( 5 != a(X143) )
| ( 5 != b(X143) )
| ~ $less(X144,X143)
| ( X142 = X144 ) )
& ! [X145: $int,X146: $int,X147: $int,X148: $int] :
( ( X145 = X147 )
| ( X146 = X148 )
| ~ $less(b(X147),4)
| ( 5 != b(X146) )
| ( 10 != a(X148) )
| ( X145 = X148 )
| ( X145 = X146 )
| ( X147 = X148 )
| ( X146 = X147 )
| ( 2 != b(X148) )
| ~ $less(X148,X147)
| ~ $less(b(X145),4)
| ( 3 != a(X147) )
| ( 7 != a(X145) ) )
& ( 10 = a(z4) )
& ! [X149: $int,X150: $int,X151: $int] :
( ( 7 != a(X149) )
| ( 5 != b(X150) )
| ( 2 != b(X149) )
| ( 4 != a(X150) )
| ( X149 = X150 )
| ~ $less(b(X151),3)
| ~ $less(X151,X150)
| ( X150 = X151 )
| ( X149 = X151 )
| ( 10 != a(X151) ) )
& ! [X152: $int,X153: $int,X154: $int] :
( ( 2 != b(X152) )
| ( 10 != a(X152) )
| ( 6 != a(X153) )
| ( X152 = X153 )
| ( 4 != a(X154) )
| ~ $less(X152,X153)
| ( 5 != b(X153) )
| ( X153 = X154 )
| ( X152 = X154 ) )
& ! [X155: $int,X156: $int,X157: $int] :
( ( X155 = X156 )
| ( 7 != a(X157) )
| ( 2 != b(X156) )
| ( X155 = X157 )
| ( 5 != a(X155) )
| ( 5 != b(X157) )
| ~ $less(X156,X157)
| ( X156 = X157 )
| ( 10 != a(X156) ) )
& ! [X158: $int,X159: $int,X160: $int,X161: $int] :
( ( 2 != b(X159) )
| ( X158 = X159 )
| ( X158 = X160 )
| ( X159 = X161 )
| ( 5 != b(X158) )
| ( 12 != a(X160) )
| ( 10 != a(X159) )
| ~ $less(b(X161),4)
| ( X160 = X161 )
| ( X158 = X161 )
| ( X159 = X160 )
| ~ $less(X159,X160)
| ( 7 != a(X161) ) )
& ( z2 != z4 )
& ( 7 = a(z1) )
& ! [X162: $int,X163: $int,X164: $int] :
( ( X162 = X163 )
| ( 4 != a(X163) )
| ~ $less(X162,X163)
| ( 2 != b(X162) )
| ( 5 != b(X163) )
| ( 7 != a(X164) )
| ( 10 != a(X162) )
| ( X163 = X164 )
| ( X162 = X164 ) )
& ! [X165: $int,X166: $int,X167: $int] :
( ( X166 = X167 )
| ( 1 != a(X166) )
| ( X165 = X167 )
| ( 10 != a(X167) )
| ( 2 != b(X167) )
| ( 6 != a(X165) )
| ~ $less(X167,X166)
| ( 5 != b(X166) )
| ( X165 = X166 ) )
& ! [X168: $int,X169: $int,X170: $int] :
( ( 10 != a(X169) )
| ( 8 != a(X170) )
| ~ $less(b(X170),4)
| ( 2 != b(X169) )
| ( X169 = X170 )
| ( X168 = X169 )
| ( X168 = X170 )
| ~ $less(b(X168),4)
| ~ $less(X169,X168)
| ( 3 != a(X168) ) )
& ! [X171: $int,X172: $int,X173: $int] :
( ~ $less(X172,X173)
| ( X171 = X173 )
| ( 6 != a(X173) )
| ( 10 != a(X172) )
| ( X172 = X173 )
| ( 6 != a(X171) )
| ( X171 = X172 )
| ~ $less(b(X172),3)
| ( 5 != b(X173) ) )
& ! [X174: $int,X175: $int,X176: $int,X177: $int] :
( ( X175 = X177 )
| ( 7 != a(X174) )
| ( X174 = X177 )
| ~ $less(X177,X174)
| ( X175 = X176 )
| ( 5 != b(X174) )
| ( 10 != a(X177) )
| ( X176 = X177 )
| ~ $less(b(X177),3)
| ( 4 != a(X175) )
| ( 2 != b(X176) )
| ( X174 = X175 )
| ( X174 = X176 ) )
& ! [X178: $int,X179: $int,X180: $int] :
( ( 2 != b(X180) )
| ( 10 != a(X178) )
| ( 8 != a(X180) )
| ~ $less(b(X178),3)
| ( 1 != a(X179) )
| ~ $less(X178,X179)
| ( X178 = X180 )
| ( X179 = X180 )
| ( X178 = X179 ) )
& ! [X181: $int,X182: $int,X183: $int] :
( ( X181 = X182 )
| ~ $less(b(X182),4)
| ~ $less(X181,X183)
| ( 1 != a(X183) )
| ( 8 != a(X182) )
| ( 10 != a(X181) )
| ( 2 != b(X181) )
| ( X182 = X183 )
| ( X181 = X183 ) )
& ! [X184: $int,X185: $int] :
( ( 10 != a(X185) )
| ( 8 != a(X184) )
| ~ $less(b(X185),3)
| ~ $less(X185,X184)
| ( X184 = X185 ) )
& ( z1 != z5 )
& ! [X186: $int,X187: $int,X188: $int] :
( ( 2 != b(X188) )
| ( 10 != a(X188) )
| ( 7 != a(X186) )
| ( X186 = X188 )
| ( X186 = X187 )
| ( X187 = X188 )
| ~ $less(X188,X187)
| ( 5 != a(X187) )
| ( 5 != b(X187) ) )
& ! [X189: $int,X190: $int,X191: $int] :
( ~ $less(b(X189),4)
| ( X189 = X191 )
| ~ $less(X191,X190)
| ( 2 != b(X191) )
| ( 7 != a(X189) )
| ( 1 != a(X190) )
| ( X189 = X190 )
| ( X190 = X191 )
| ( 10 != a(X191) )
| ( 5 != b(X190) ) )
& ( z1 != z4 )
& ! [X192: $int,X193: $int,X194: $int] :
( ~ $less(b(X193),3)
| ( X193 = X194 )
| ( X192 = X194 )
| ( 7 != a(X192) )
| ( 7 != a(X194) )
| ( 5 != b(X192) )
| ( X192 = X193 )
| ~ $less(X193,X192)
| ( 10 != a(X193) ) )
& ! [X195: $int,X196: $int,X197: $int] :
( ~ $less(X195,X196)
| ( 5 != b(X196) )
| ( X196 = X197 )
| ( X195 = X196 )
| ( 10 != a(X195) )
| ( 2 != b(X195) )
| ( 2 != a(X196) )
| ~ $less(b(X197),4)
| ( X195 = X197 )
| ( 7 != a(X197) ) )
& ! [X198: $int,X199: $int,X200: $int] :
( ( 10 != a(X200) )
| ( 8 != a(X199) )
| ( X198 = X199 )
| ( 4 != a(X198) )
| ~ $less(X200,X198)
| ( X198 = X200 )
| ( X199 = X200 )
| ( 2 != b(X200) ) )
& ! [X201: $int,X202: $int,X203: $int] :
( ( 7 != a(X201) )
| ( 10 != a(X203) )
| ~ $less(X203,X201)
| ( 5 != b(X202) )
| ~ $less(b(X203),3)
| ( X201 = X203 )
| ( X201 = X202 )
| ( X202 = X203 ) )
& ! [X204: $int,X205: $int,X206: $int] :
( ( 8 != a(X205) )
| ~ $less(X204,X206)
| ( X205 = X206 )
| ( X204 = X205 )
| ( 6 != a(X206) )
| ( X204 = X206 )
| ( 10 != a(X204) )
| ~ $less(b(X204),3) )
& ! [X207: $int,X208: $int,X209: $int,X210: $int] :
( ( 4 != a(X208) )
| ( X207 = X209 )
| ( X208 = X209 )
| ( X207 = X208 )
| ( X208 = X210 )
| ~ $less(b(X210),3)
| ( 5 != b(X209) )
| ( X209 = X210 )
| ( 10 != a(X210) )
| ~ $less(X210,X208)
| ( 2 != b(X207) )
| ( X207 = X210 ) )
& ! [X211: $int,X212: $int,X213: $int,X214: $int] :
( ( 7 != a(X211) )
| ( X211 = X213 )
| ( X211 = X214 )
| ( X212 = X214 )
| ( X211 = X212 )
| ~ $less(b(X213),3)
| ( X213 = X214 )
| ( 2 != a(X212) )
| ( 10 != a(X213) )
| ( 5 != b(X214) )
| ( X212 = X213 )
| ( 2 != b(X211) )
| ~ $less(X213,X212) )
& ! [X215: $int] :
( ~ $less(b(X215),1)
& ~ $less(5,b(X215)) )
& ! [X216: $int,X217: $int,X218: $int,X219: $int] :
( ( X218 = X219 )
| ( 10 != a(X216) )
| ( 2 != b(X218) )
| ( X216 = X219 )
| ( 5 != a(X217) )
| ( X216 = X218 )
| ~ $less(X216,X217)
| ( X217 = X218 )
| ( X217 = X219 )
| ( 2 != b(X219) )
| ( 5 != a(X219) )
| ( X216 = X217 )
| ( 5 != b(X217) )
| ~ $less(b(X216),3) )
& ! [X220: $int,X221: $int,X222: $int] :
( ( 5 != b(X220) )
| ( 1 != a(X220) )
| ( X220 = X221 )
| ~ $less(b(X221),3)
| ( X220 = X222 )
| ( 10 != a(X221) )
| ( 2 != b(X222) )
| ~ $less(X221,X220)
| ( 7 != a(X222) )
| ( X221 = X222 ) )
& ! [X223: $int,X224: $int,X225: $int] :
( ( 2 != b(X223) )
| ( X223 = X224 )
| ~ $less(X225,X224)
| ( X224 = X225 )
| ~ $less(b(X225),3)
| ( 5 != b(X224) )
| ( 7 != a(X223) )
| ( X223 = X225 )
| ( 10 != a(X225) )
| ( 2 != a(X224) ) )
& ! [X226: $int,X227: $int,X228: $int,X229: $int] :
( ( X228 = X229 )
| ( X227 = X229 )
| ( 7 != a(X229) )
| ~ $less(b(X227),3)
| ( X226 = X227 )
| ( 12 != a(X226) )
| ( X227 = X228 )
| ( 2 != b(X229) )
| ~ $less(X227,X226)
| ( 5 != b(X228) )
| ( 10 != a(X227) )
| ( X226 = X229 )
| ( X226 = X228 ) )
& ! [X230: $int,X231: $int,X232: $int] :
( ( 10 != a(X232) )
| ( 6 != a(X231) )
| ( X230 = X232 )
| ( 5 != b(X231) )
| ( X231 = X232 )
| ( X230 = X231 )
| ~ $less(X232,X231)
| ( 2 != b(X232) )
| ( 5 != a(X230) ) )
& ! [X233: $int,X234: $int,X235: $int,X236: $int] :
( ( 1 != a(X233) )
| ( 10 != a(X235) )
| ( 5 != b(X234) )
| ( X234 = X235 )
| ( X233 = X234 )
| ( X235 = X236 )
| ( X233 = X235 )
| ~ $less(X235,X236)
| ~ $less(b(X235),3)
| ( X233 = X236 )
| ( X234 = X236 )
| ( 5 != a(X236) ) )
& ! [X237: $int,X238: $int,X239: $int] :
( ( 2 != a(X238) )
| ( 2 != b(X239) )
| ( 10 != a(X239) )
| ( X237 = X239 )
| ( X238 = X239 )
| ( 5 != a(X237) )
| ( X237 = X238 )
| ~ $less(X239,X238)
| ( 5 != b(X238) ) )
& ! [X240: $int,X241: $int,X242: $int,X243: $int] :
( ( X241 = X243 )
| ( X240 = X243 )
| ( 10 != a(X242) )
| ( X240 = X242 )
| ( 5 != b(X241) )
| ( 2 != b(X243) )
| ( X241 = X242 )
| ( 5 != a(X241) )
| ( X242 = X243 )
| ( X240 = X241 )
| ~ $less(b(X242),3)
| ( 6 != a(X240) )
| ~ $less(X242,X241) )
& ! [X244: $int,X245: $int,X246: $int] :
( ( 8 != a(X244) )
| ( X244 = X245 )
| ( 10 != a(X246) )
| ( 2 != a(X245) )
| ( X244 = X246 )
| ~ $less(X246,X245)
| ( 2 != b(X244) )
| ( X245 = X246 )
| ~ $less(b(X246),3) )
& ! [X247: $int,X248: $int,X249: $int] :
( ( X247 = X249 )
| ( 2 != b(X249) )
| ( 8 != a(X249) )
| ~ $less(X248,X247)
| ( 10 != a(X248) )
| ( X247 = X248 )
| ( 5 != a(X247) )
| ( X248 = X249 )
| ~ $less(b(X248),3) )
& ! [X250: $int,X251: $int,X252: $int,X253: $int] :
( ( X252 = X253 )
| ( 2 != b(X253) )
| ( 1 != a(X251) )
| ( 5 != b(X250) )
| ( 7 != a(X253) )
| ~ $less(X252,X251)
| ( X251 = X252 )
| ( X251 = X253 )
| ( X250 = X252 )
| ( X250 = X251 )
| ( 10 != a(X252) )
| ( X250 = X253 )
| ~ $less(b(X252),3) )
& ( 5 = a(z3) )
& $less(b(z2),3)
& ! [X254: $int,X255: $int,X256: $int] :
( ( X254 = X256 )
| ( 2 != b(X255) )
| ( 5 != b(X256) )
| ( X254 = X255 )
| ( 5 != a(X254) )
| ( X255 = X256 )
| ( 10 != a(X255) )
| ~ $less(X255,X254) )
& ! [X257: $int,X258: $int,X259: $int,X260: $int] :
( ( 5 != a(X258) )
| ( 5 != b(X259) )
| ( X257 = X258 )
| ( 6 != a(X259) )
| ( 2 != b(X257) )
| ( X257 = X259 )
| ( X258 = X259 )
| ( X258 = X260 )
| ~ $less(b(X260),3)
| ~ $less(X260,X259)
| ( X257 = X260 )
| ( 10 != a(X260) )
| ( X259 = X260 ) )
& ( z2 != z3 )
& ! [X261: $int,X262: $int,X263: $int] :
( ( 10 != a(X263) )
| ( 4 != a(X261) )
| ( 4 != a(X262) )
| ( X261 = X262 )
| ( 2 != b(X263) )
| ( 5 != b(X262) )
| ~ $less(X263,X262)
| ( X261 = X263 )
| ( X262 = X263 ) )
& ( z3 != z4 ) ),
inference(rectify,[],[f19]) ).
tff(f19,plain,
( ! [X172: $int,X171: $int] :
( ~ $less(b(X172),3)
| ( X171 = X172 )
| ~ $less(X172,X171)
| ( 10 != a(X172) )
| ( 9 != a(X171) ) )
& ! [X250: $int,X253: $int,X252: $int,X251: $int] :
( ( 7 != a(X252) )
| ( X250 = X251 )
| ( 2 != b(X250) )
| ( X251 = X252 )
| ~ $less(X253,X251)
| ~ $less(b(X253),3)
| ( 5 != a(X251) )
| ( 5 != b(X251) )
| ( X250 = X252 )
| ( X250 = X253 )
| ( 10 != a(X253) )
| ( X252 = X253 )
| ( X251 = X253 ) )
& ! [X54: $int,X52: $int,X53: $int] :
( ( 10 != a(X52) )
| ( X52 = X54 )
| ( X52 = X53 )
| ( 4 != a(X53) )
| ( 8 != a(X54) )
| ( X53 = X54 )
| ~ $less(X52,X53)
| ~ $less(b(X52),3)
| ( 2 != b(X54) ) )
& ! [X141: $int,X140: $int,X142: $int] :
( ( 6 != a(X140) )
| ( 10 != a(X141) )
| ( X140 = X142 )
| ~ $less(X141,X142)
| ( X141 = X142 )
| ( 2 != b(X141) )
| ( 5 != b(X142) )
| ( X140 = X141 )
| ( 4 != a(X142) ) )
& ! [X226: $int,X225: $int,X223: $int,X224: $int] :
( ( X223 = X225 )
| ( 7 != a(X226) )
| ~ $less(X223,X225)
| ( X225 = X226 )
| ( X224 = X226 )
| ~ $less(b(X225),4)
| ~ $less(b(X223),3)
| ( 3 != a(X225) )
| ( X223 = X226 )
| ( 10 != a(X223) )
| ( 2 != b(X226) )
| ( X224 = X225 )
| ( X223 = X224 )
| ( 5 != b(X224) ) )
& ! [X113: $int,X111: $int,X112: $int] :
( ( 10 != a(X113) )
| ~ $less(X113,X112)
| ( X111 = X113 )
| ( X112 = X113 )
| ( 1 != a(X112) )
| ( X111 = X112 )
| ( 2 != b(X113) )
| ( 5 != a(X111) )
| ( 5 != b(X112) ) )
& ! [X238: $int] :
( ~ $less(a(X238),1)
& ~ $less(12,a(X238)) )
& ( 2 = b(z4) )
& ! [X177: $int,X178: $int,X179: $int] :
( ( X177 = X179 )
| ~ $less(b(X179),3)
| ~ $less(X179,X177)
| ( 10 != a(X179) )
| ( 2 != b(X178) )
| ( 5 != a(X177) )
| ( 5 != b(X177) )
| ( X177 = X178 )
| ( X178 = X179 )
| ( 6 != a(X178) ) )
& ! [X185: $int,X186: $int,X184: $int,X187: $int] :
( ( 10 != a(X185) )
| ( 2 != b(X186) )
| ( X184 = X186 )
| ( 5 != b(X184) )
| ( X184 = X187 )
| ( X184 = X185 )
| ( X185 = X186 )
| ( X186 = X187 )
| ( 5 != a(X187) )
| ( 7 != a(X184) )
| ( X185 = X187 )
| ~ $less(b(X185),3)
| ~ $less(X185,X184) )
& ( z3 != z5 )
& ! [X82: $int,X83: $int,X81: $int] :
( ( 12 != a(X81) )
| ( 6 != a(X83) )
| ( X81 = X83 )
| ( X81 = X82 )
| ( 2 != b(X82) )
| ~ $less(X82,X81)
| ( X82 = X83 )
| ( 5 != b(X81) )
| ( 10 != a(X82) ) )
& ! [X20: $int,X19: $int,X21: $int] :
( ( X19 = X21 )
| ( 7 != a(X21) )
| ( 10 != a(X19) )
| ( X20 = X21 )
| ( 6 != a(X20) )
| ( X19 = X20 )
| ~ $less(X19,X20)
| ~ $less(b(X19),3)
| ( 5 != b(X20) ) )
& ! [X78: $int,X79: $int,X80: $int] :
( ~ $less(X80,X78)
| ( 8 != a(X79) )
| ~ $less(b(X79),4)
| ( 2 != a(X78) )
| ( X78 = X80 )
| ( X79 = X80 )
| ( X78 = X79 )
| ( 2 != b(X80) )
| ( 10 != a(X80) ) )
& ! [X233: $int,X231: $int,X232: $int,X230: $int] :
( ( X232 = X233 )
| ( 7 != a(X232) )
| ( 5 != b(X233) )
| ~ $less(X231,X230)
| ~ $less(b(X231),3)
| ( X231 = X232 )
| ( X230 = X232 )
| ( 2 != b(X232) )
| ( 10 != a(X231) )
| ( X230 = X233 )
| ( X230 = X231 )
| ( X231 = X233 )
| ( 4 != a(X230) ) )
& ! [X248: $int,X249: $int,X247: $int] :
( ~ $less(X247,X248)
| ( 2 != b(X247) )
| ( 2 != a(X248) )
| ( X247 = X248 )
| ( 6 != a(X249) )
| ( 5 != b(X248) )
| ( 10 != a(X247) )
| ( X248 = X249 )
| ( X247 = X249 ) )
& ! [X121: $int,X122: $int,X120: $int] :
( ( X120 = X122 )
| ( 2 != b(X120) )
| ( X120 = X121 )
| ( 12 != a(X122) )
| ~ $less(b(X121),3)
| ( 10 != a(X121) )
| ~ $less(X121,X122)
| ( 8 != a(X120) )
| ( X121 = X122 ) )
& ! [X89: $int,X87: $int,X90: $int,X88: $int] :
( ~ $less(b(X90),3)
| ~ $less(X90,X89)
| ( X87 = X88 )
| ( 2 != a(X87) )
| ( 5 != a(X89) )
| ( X88 = X90 )
| ( 10 != a(X90) )
| ( X89 = X90 )
| ( X87 = X90 )
| ( X87 = X89 )
| ( 5 != b(X88) )
| ( X88 = X89 ) )
& ! [X97: $int,X99: $int,X98: $int] :
( ( 7 != a(X98) )
| ~ $less(X97,X98)
| ( 10 != a(X97) )
| ( X97 = X99 )
| ( X98 = X99 )
| ~ $less(b(X97),3)
| ( X97 = X98 )
| ( 8 != a(X99) ) )
& ! [X46: $int,X47: $int,X48: $int] :
( ( 12 != a(X47) )
| ( 10 != a(X46) )
| ~ $less(X46,X47)
| ( 5 != a(X48) )
| ( X46 = X48 )
| ( X47 = X48 )
| ( X46 = X47 )
| ( 5 != b(X47) )
| ( 2 != b(X46) ) )
& ( z2 != z5 )
& ! [X101: $int,X103: $int,X100: $int,X102: $int] :
( ( 10 != a(X102) )
| ( 7 != a(X103) )
| ( X100 = X101 )
| ( X100 = X103 )
| ( X101 = X103 )
| ( X102 = X103 )
| ~ $less(b(X102),3)
| ~ $less(X102,X103)
| ( 5 != a(X100) )
| ( X100 = X102 )
| ( X101 = X102 )
| ( 5 != b(X103) )
| ( 2 != a(X101) ) )
& ! [X135: $int,X136: $int,X134: $int] :
( ( 5 != b(X136) )
| ( 10 != a(X134) )
| ~ $less(X134,X136)
| ( X135 = X136 )
| ( 7 != a(X136) )
| ~ $less(b(X134),3)
| ( 6 != a(X135) )
| ( X134 = X136 )
| ( X134 = X135 ) )
& ! [X170: $int,X169: $int,X168: $int] :
( ( X168 = X170 )
| ( 6 != a(X168) )
| ( 5 != a(X169) )
| ( 10 != a(X170) )
| ( X168 = X169 )
| ( X169 = X170 )
| ( 2 != b(X170) )
| ~ $less(X170,X169)
| ( 5 != b(X169) ) )
& ( z4 != z5 )
& ! [X147: $int,X146: $int] :
( ( X146 = X147 )
| ( 10 != a(X147) )
| ( 10 != a(X146) ) )
& ! [X11: $int,X12: $int,X10: $int] :
( ( 2 != b(X12) )
| ( 4 != a(X10) )
| ( X10 = X11 )
| ( 10 != a(X12) )
| ( X11 = X12 )
| ( 7 != a(X11) )
| ( X10 = X12 )
| ( 5 != b(X11) )
| ~ $less(X12,X11) )
& ! [X43: $int,X44: $int,X45: $int,X42: $int] :
( ( X44 = X45 )
| ( X42 = X43 )
| ( 8 != a(X43) )
| ( 2 != a(X42) )
| ( X43 = X44 )
| ~ $less(X44,X45)
| ( X42 = X44 )
| ~ $less(b(X44),3)
| ( X42 = X45 )
| ( 5 != a(X45) )
| ( 10 != a(X44) )
| ( X43 = X45 ) )
& ! [X242: $int,X239: $int,X240: $int,X241: $int] :
( ~ $less(X240,X242)
| ( X239 = X241 )
| ( 5 != b(X242) )
| ( X239 = X242 )
| ( 2 != a(X239) )
| ( 7 != a(X241) )
| ( X241 = X242 )
| ( X240 = X242 )
| ( 5 != a(X242) )
| ( X240 = X241 )
| ~ $less(b(X240),3)
| ( X239 = X240 )
| ( 10 != a(X240) ) )
& ! [X162: $int,X163: $int,X164: $int,X161: $int] :
( ~ $less(b(X161),3)
| ( 10 != a(X161) )
| ( X163 = X164 )
| ( X161 = X162 )
| ( X161 = X163 )
| ( 4 != a(X163) )
| ~ $less(X161,X163)
| ( X161 = X164 )
| ( 8 != a(X162) )
| ( 2 != b(X164) )
| ( X162 = X164 )
| ( X162 = X163 ) )
& ! [X158: $int,X160: $int,X157: $int,X159: $int] :
( ~ $less(X159,X160)
| ( X157 = X158 )
| ( X159 = X160 )
| ( 10 != a(X159) )
| ( X158 = X160 )
| ( X157 = X160 )
| ( X158 = X159 )
| ( 5 != b(X158) )
| ( 2 != a(X157) )
| ( 4 != a(X160) )
| ~ $less(b(X159),3)
| ( X157 = X159 ) )
& ! [X117: $int,X119: $int,X118: $int] :
( ~ $less(X118,X117)
| ( X117 = X119 )
| ( X118 = X119 )
| ( 2 != a(X117) )
| ( 10 != a(X118) )
| ( X117 = X118 )
| ( 2 != b(X118) )
| ( 4 != a(X119) )
| ( 5 != b(X117) ) )
& ( z1 != z3 )
& ! [X51: $int,X50: $int,X49: $int] :
( ( 4 != a(X51) )
| ( X49 = X51 )
| ~ $less(X50,X51)
| ( 10 != a(X50) )
| ( 2 != b(X50) )
| ( X50 = X51 )
| ( 5 != b(X49) )
| ( X49 = X50 ) )
& ! [X152: $int,X153: $int,X151: $int] :
( ( X151 = X153 )
| ( 10 != a(X151) )
| ( X152 = X153 )
| ( X151 = X152 )
| ( 12 != a(X153) )
| ~ $less(X151,X153)
| ( 2 != b(X151) )
| ( 5 != b(X153) )
| ( 4 != a(X152) ) )
& ! [X2: $int,X0: $int,X1: $int] :
( ( X0 = X1 )
| ~ $less(X0,X2)
| ~ $less(b(X1),4)
| ( a(X1) != 8 )
| ( a(X0) != 10 )
| ( X0 = X2 )
| ( b(X0) != 2 )
| ( 12 != a(X2) )
| ( X1 = X2 ) )
& ! [X70: $int,X73: $int,X72: $int,X71: $int] :
( ( 5 != b(X72) )
| ( X72 = X73 )
| ~ $less(X70,X71)
| ( 1 != a(X71) )
| ( X70 = X72 )
| ( 7 != a(X73) )
| ( X70 = X73 )
| ~ $less(b(X73),4)
| ( X71 = X73 )
| ( X70 = X71 )
| ( 2 != b(X70) )
| ( X71 = X72 )
| ( 10 != a(X70) ) )
& ! [X222: $int,X221: $int,X220: $int] :
( ( 5 != b(X222) )
| ( 12 != a(X222) )
| ( X220 = X222 )
| ( 2 != b(X221) )
| ( 7 != a(X220) )
| ~ $less(b(X220),4)
| ~ $less(X221,X222)
| ( X221 = X222 )
| ( 10 != a(X221) )
| ( X220 = X221 ) )
& ! [X189: $int,X190: $int,X188: $int] :
( ~ $less(X189,X190)
| ( X188 = X190 )
| ( X188 = X189 )
| ( 3 != a(X190) )
| ~ $less(b(X189),3)
| ~ $less(b(X190),4)
| ( 8 != a(X188) )
| ( 10 != a(X189) )
| ( X189 = X190 )
| ( 2 != b(X188) ) )
& ! [X214: $int,X213: $int,X215: $int] :
( ~ $less(X213,X214)
| ( 4 != a(X214) )
| ( 2 != b(X213) )
| ( X214 = X215 )
| ( X213 = X214 )
| ( 10 != a(X213) )
| ( X213 = X215 )
| ( 5 != a(X215) )
| ( 5 != b(X214) ) )
& ( 10 = a(z2) )
& ! [X192: $int,X191: $int,X194: $int,X193: $int] :
( ( X191 = X192 )
| ( 10 != a(X193) )
| ( 5 != b(X194) )
| ( X193 = X194 )
| ( 7 != a(X191) )
| ~ $less(X193,X192)
| ( 2 != a(X192) )
| ~ $less(b(X191),4)
| ( X192 = X194 )
| ( 2 != b(X193) )
| ( X191 = X193 )
| ( X191 = X194 )
| ( X192 = X193 ) )
& ! [X260: $int,X257: $int,X258: $int,X259: $int] :
( ( X258 = X260 )
| ( X258 = X259 )
| ( 5 != a(X258) )
| ( 5 != b(X257) )
| ( X259 = X260 )
| ( 10 != a(X260) )
| ( X257 = X259 )
| ( X257 = X260 )
| ( 2 != b(X259) )
| ~ $less(X260,X258)
| ~ $less(b(X260),3)
| ( X257 = X258 ) )
& ! [X212: $int,X211: $int,X210: $int] :
( ~ $less(b(X212),3)
| ( 10 != a(X212) )
| ( 2 != b(X211) )
| ( X210 = X212 )
| ~ $less(X212,X210)
| ( 5 != b(X210) )
| ( X211 = X212 )
| ( X210 = X211 )
| ( 7 != a(X211) )
| ( 5 != a(X210) ) )
& ! [X167: $int,X166: $int,X165: $int] :
( ( 5 != b(X167) )
| ( 12 != a(X167) )
| ( 2 != b(X166) )
| ( 7 != a(X166) )
| ( X166 = X167 )
| ~ $less(X165,X167)
| ( X165 = X167 )
| ( 10 != a(X165) )
| ~ $less(b(X165),3)
| ( X165 = X166 ) )
& $less(z2,z1)
& ( z1 != z2 )
& ! [X245: $int,X244: $int,X243: $int,X246: $int] :
( ( 8 != a(X245) )
| ( X243 = X244 )
| ( 5 != a(X246) )
| ( X243 = X245 )
| ( X244 = X245 )
| ~ $less(X244,X246)
| ( X243 = X246 )
| ( X244 = X246 )
| ~ $less(b(X244),3)
| ( 10 != a(X244) )
| ( 2 != b(X243) )
| ( X245 = X246 ) )
& ! [X263: $int,X261: $int,X262: $int] :
( ( 10 != a(X261) )
| ( 5 != b(X262) )
| ( 5 != a(X262) )
| ( 4 != a(X263) )
| ( X261 = X263 )
| ~ $less(X261,X262)
| ( X261 = X262 )
| ( 2 != b(X261) )
| ( X262 = X263 ) )
& ! [X84: $int,X85: $int,X86: $int] :
( ( X84 = X86 )
| ( 8 != a(X84) )
| ( 10 != a(X86) )
| ( 2 != b(X86) )
| ( X84 = X85 )
| ( X85 = X86 )
| ( 5 != a(X85) )
| ~ $less(X86,X85) )
& ( 5 = b(z1) )
& ! [X36: $int,X38: $int,X37: $int] :
( ~ $less(X36,X37)
| ( 5 != b(X38) )
| ( X36 = X38 )
| ( 6 != a(X37) )
| ( X36 = X37 )
| ( X37 = X38 )
| ~ $less(b(X36),3)
| ( 10 != a(X36) ) )
& ! [X137: $int,X139: $int,X138: $int] :
( ( X137 = X139 )
| ( 1 != a(X138) )
| ( X138 = X139 )
| ( 5 != b(X138) )
| ( 2 != b(X137) )
| ( 4 != a(X139) )
| ~ $less(X137,X138)
| ( X137 = X138 )
| ( 10 != a(X137) ) )
& ! [X35: $int,X34: $int,X33: $int] :
( ( X33 = X34 )
| ( 10 != a(X33) )
| ( 2 != b(X33) )
| ( X34 = X35 )
| ( 5 != a(X35) )
| ( 5 != a(X34) )
| ( 5 != b(X34) )
| ~ $less(X33,X34)
| ( X33 = X35 ) )
& ! [X217: $int,X219: $int,X218: $int,X216: $int] :
( ( X217 = X218 )
| ( X216 = X219 )
| ~ $less(b(X218),4)
| ( 5 != b(X219) )
| ( 10 != a(X216) )
| ( X216 = X217 )
| ( X217 = X219 )
| ( X216 = X218 )
| ( X218 = X219 )
| ( 2 != b(X216) )
| ~ $less(X216,X218)
| ~ $less(b(X217),4)
| ( 3 != a(X218) )
| ( 7 != a(X217) ) )
& ( 10 = a(z4) )
& ! [X114: $int,X116: $int,X115: $int] :
( ( 7 != a(X114) )
| ( 5 != b(X116) )
| ( 2 != b(X114) )
| ( 4 != a(X116) )
| ( X114 = X116 )
| ~ $less(b(X115),3)
| ~ $less(X115,X116)
| ( X115 = X116 )
| ( X114 = X115 )
| ( 10 != a(X115) ) )
& ! [X200: $int,X198: $int,X199: $int] :
( ( 2 != b(X200) )
| ( 10 != a(X200) )
| ( 6 != a(X198) )
| ( X198 = X200 )
| ( 4 != a(X199) )
| ~ $less(X200,X198)
| ( 5 != b(X198) )
| ( X198 = X199 )
| ( X199 = X200 ) )
& ! [X40: $int,X39: $int,X41: $int] :
( ( X39 = X40 )
| ( 7 != a(X41) )
| ( 2 != b(X39) )
| ( X40 = X41 )
| ( 5 != a(X40) )
| ( 5 != b(X41) )
| ~ $less(X39,X41)
| ( X39 = X41 )
| ( 10 != a(X39) ) )
& ! [X6: $int,X5: $int,X4: $int,X3: $int] :
( ( 2 != b(X5) )
| ( X5 = X6 )
| ( X4 = X6 )
| ( X3 = X5 )
| ( 5 != b(X6) )
| ( 12 != a(X4) )
| ( 10 != a(X5) )
| ~ $less(b(X3),4)
| ( X3 = X4 )
| ( X3 = X6 )
| ( X4 = X5 )
| ~ $less(X5,X4)
| ( 7 != a(X3) ) )
& ( z2 != z4 )
& ( 7 = a(z1) )
& ! [X7: $int,X8: $int,X9: $int] :
( ( X7 = X8 )
| ( 4 != a(X8) )
| ~ $less(X7,X8)
| ( 2 != b(X7) )
| ( 5 != b(X8) )
| ( 7 != a(X9) )
| ( 10 != a(X7) )
| ( X8 = X9 )
| ( X7 = X9 ) )
& ! [X32: $int,X31: $int,X30: $int] :
( ( X30 = X31 )
| ( 1 != a(X31) )
| ( X30 = X32 )
| ( 10 != a(X30) )
| ( 2 != b(X30) )
| ( 6 != a(X32) )
| ~ $less(X30,X31)
| ( 5 != b(X31) )
| ( X31 = X32 ) )
& ! [X59: $int,X58: $int,X57: $int] :
( ( 10 != a(X58) )
| ( 8 != a(X57) )
| ~ $less(b(X57),4)
| ( 2 != b(X58) )
| ( X57 = X58 )
| ( X58 = X59 )
| ( X57 = X59 )
| ~ $less(b(X59),4)
| ~ $less(X58,X59)
| ( 3 != a(X59) ) )
& ! [X206: $int,X205: $int,X204: $int] :
( ~ $less(X205,X204)
| ( X204 = X206 )
| ( 6 != a(X204) )
| ( 10 != a(X205) )
| ( X204 = X205 )
| ( 6 != a(X206) )
| ( X205 = X206 )
| ~ $less(b(X205),3)
| ( 5 != b(X204) ) )
& ! [X182: $int,X183: $int,X180: $int,X181: $int] :
( ( X181 = X183 )
| ( 7 != a(X182) )
| ( X181 = X182 )
| ~ $less(X181,X182)
| ( X180 = X183 )
| ( 5 != b(X182) )
| ( 10 != a(X181) )
| ( X180 = X181 )
| ~ $less(b(X181),3)
| ( 4 != a(X183) )
| ( 2 != b(X180) )
| ( X182 = X183 )
| ( X180 = X182 ) )
& ! [X96: $int,X95: $int,X94: $int] :
( ( 2 != b(X94) )
| ( 10 != a(X96) )
| ( 8 != a(X94) )
| ~ $less(b(X96),3)
| ( 1 != a(X95) )
| ~ $less(X96,X95)
| ( X94 = X96 )
| ( X94 = X95 )
| ( X95 = X96 ) )
& ! [X66: $int,X65: $int,X64: $int] :
( ( X65 = X66 )
| ~ $less(b(X65),4)
| ~ $less(X66,X64)
| ( 1 != a(X64) )
| ( 8 != a(X65) )
| ( 10 != a(X66) )
| ( 2 != b(X66) )
| ( X64 = X65 )
| ( X64 = X66 ) )
& ! [X56: $int,X55: $int] :
( ( 10 != a(X55) )
| ( 8 != a(X56) )
| ~ $less(b(X55),3)
| ~ $less(X55,X56)
| ( X55 = X56 ) )
& ( z1 != z5 )
& ! [X255: $int,X256: $int,X254: $int] :
( ( 2 != b(X254) )
| ( 10 != a(X254) )
| ( 7 != a(X255) )
| ( X254 = X255 )
| ( X255 = X256 )
| ( X254 = X256 )
| ~ $less(X254,X256)
| ( 5 != a(X256) )
| ( 5 != b(X256) ) )
& ! [X91: $int,X93: $int,X92: $int] :
( ~ $less(b(X91),4)
| ( X91 = X92 )
| ~ $less(X92,X93)
| ( 2 != b(X92) )
| ( 7 != a(X91) )
| ( 1 != a(X93) )
| ( X91 = X93 )
| ( X92 = X93 )
| ( 10 != a(X92) )
| ( 5 != b(X93) ) )
& ( z1 != z4 )
& ! [X144: $int,X145: $int,X143: $int] :
( ~ $less(b(X145),3)
| ( X143 = X145 )
| ( X143 = X144 )
| ( 7 != a(X144) )
| ( 7 != a(X143) )
| ( 5 != b(X144) )
| ( X144 = X145 )
| ~ $less(X145,X144)
| ( 10 != a(X145) ) )
& ! [X109: $int,X108: $int,X110: $int] :
( ~ $less(X109,X108)
| ( 5 != b(X108) )
| ( X108 = X110 )
| ( X108 = X109 )
| ( 10 != a(X109) )
| ( 2 != b(X109) )
| ( 2 != a(X108) )
| ~ $less(b(X110),4)
| ( X109 = X110 )
| ( 7 != a(X110) ) )
& ! [X201: $int,X203: $int,X202: $int] :
( ( 10 != a(X202) )
| ( 8 != a(X203) )
| ( X201 = X203 )
| ( 4 != a(X201) )
| ~ $less(X202,X201)
| ( X201 = X202 )
| ( X202 = X203 )
| ( 2 != b(X202) ) )
& ! [X208: $int,X209: $int,X207: $int] :
( ( 7 != a(X208) )
| ( 10 != a(X207) )
| ~ $less(X207,X208)
| ( 5 != b(X209) )
| ~ $less(b(X207),3)
| ( X207 = X208 )
| ( X208 = X209 )
| ( X207 = X209 ) )
& ! [X107: $int,X106: $int,X105: $int] :
( ( 8 != a(X106) )
| ~ $less(X107,X105)
| ( X105 = X106 )
| ( X106 = X107 )
| ( 6 != a(X105) )
| ( X105 = X107 )
| ( 10 != a(X107) )
| ~ $less(b(X107),3) )
& ! [X234: $int,X236: $int,X235: $int,X237: $int] :
( ( 4 != a(X236) )
| ( X234 = X235 )
| ( X235 = X236 )
| ( X234 = X236 )
| ( X236 = X237 )
| ~ $less(b(X237),3)
| ( 5 != b(X235) )
| ( X235 = X237 )
| ( 10 != a(X237) )
| ~ $less(X237,X236)
| ( 2 != b(X234) )
| ( X234 = X237 ) )
& ! [X75: $int,X76: $int,X77: $int,X74: $int] :
( ( 7 != a(X75) )
| ( X75 = X77 )
| ( X74 = X75 )
| ( X74 = X76 )
| ( X75 = X76 )
| ~ $less(b(X77),3)
| ( X74 = X77 )
| ( 2 != a(X76) )
| ( 10 != a(X77) )
| ( 5 != b(X74) )
| ( X76 = X77 )
| ( 2 != b(X75) )
| ~ $less(X77,X76) )
& ! [X104: $int] :
( ~ $less(b(X104),1)
& ~ $less(5,b(X104)) )
& ! [X25: $int,X24: $int,X22: $int,X23: $int] :
( ( X22 = X23 )
| ( 10 != a(X25) )
| ( 2 != b(X22) )
| ( X23 = X25 )
| ( 5 != a(X24) )
| ( X22 = X25 )
| ~ $less(X25,X24)
| ( X22 = X24 )
| ( X23 = X24 )
| ( 2 != b(X23) )
| ( 5 != a(X23) )
| ( X24 = X25 )
| ( 5 != b(X24) )
| ~ $less(b(X25),3) )
& ! [X131: $int,X133: $int,X132: $int] :
( ( 5 != b(X131) )
| ( 1 != a(X131) )
| ( X131 = X133 )
| ~ $less(b(X133),3)
| ( X131 = X132 )
| ( 10 != a(X133) )
| ( 2 != b(X132) )
| ~ $less(X133,X131)
| ( 7 != a(X132) )
| ( X132 = X133 ) )
& ! [X15: $int,X13: $int,X14: $int] :
( ( 2 != b(X15) )
| ( X13 = X15 )
| ~ $less(X14,X13)
| ( X13 = X14 )
| ~ $less(b(X14),3)
| ( 5 != b(X13) )
| ( 7 != a(X15) )
| ( X14 = X15 )
| ( 10 != a(X14) )
| ( 2 != a(X13) ) )
& ! [X125: $int,X123: $int,X124: $int,X126: $int] :
( ( X124 = X126 )
| ( X123 = X126 )
| ( 7 != a(X126) )
| ~ $less(b(X123),3)
| ( X123 = X125 )
| ( 12 != a(X125) )
| ( X123 = X124 )
| ( 2 != b(X126) )
| ~ $less(X123,X125)
| ( 5 != b(X124) )
| ( 10 != a(X123) )
| ( X125 = X126 )
| ( X124 = X125 ) )
& ! [X228: $int,X229: $int,X227: $int] :
( ( 10 != a(X227) )
| ( 6 != a(X229) )
| ( X227 = X228 )
| ( 5 != b(X229) )
| ( X227 = X229 )
| ( X228 = X229 )
| ~ $less(X227,X229)
| ( 2 != b(X227) )
| ( 5 != a(X228) ) )
& ! [X61: $int,X62: $int,X60: $int,X63: $int] :
( ( 1 != a(X61) )
| ( 10 != a(X60) )
| ( 5 != b(X62) )
| ( X60 = X62 )
| ( X61 = X62 )
| ( X60 = X63 )
| ( X60 = X61 )
| ~ $less(X60,X63)
| ~ $less(b(X60),3)
| ( X61 = X63 )
| ( X62 = X63 )
| ( 5 != a(X63) ) )
& ! [X150: $int,X149: $int,X148: $int] :
( ( 2 != a(X149) )
| ( 2 != b(X148) )
| ( 10 != a(X148) )
| ( X148 = X150 )
| ( X148 = X149 )
| ( 5 != a(X150) )
| ( X149 = X150 )
| ~ $less(X148,X149)
| ( 5 != b(X149) ) )
& ! [X27: $int,X29: $int,X28: $int,X26: $int] :
( ( X26 = X29 )
| ( X26 = X27 )
| ( 10 != a(X28) )
| ( X27 = X28 )
| ( 5 != b(X29) )
| ( 2 != b(X26) )
| ( X28 = X29 )
| ( 5 != a(X29) )
| ( X26 = X28 )
| ( X27 = X29 )
| ~ $less(b(X28),3)
| ( 6 != a(X27) )
| ~ $less(X28,X29) )
& ! [X69: $int,X67: $int,X68: $int] :
( ( 8 != a(X69) )
| ( X67 = X69 )
| ( 10 != a(X68) )
| ( 2 != a(X67) )
| ( X68 = X69 )
| ~ $less(X68,X67)
| ( 2 != b(X69) )
| ( X67 = X68 )
| ~ $less(b(X68),3) )
& ! [X196: $int,X197: $int,X195: $int] :
( ( X195 = X196 )
| ( 2 != b(X195) )
| ( 8 != a(X195) )
| ~ $less(X197,X196)
| ( 10 != a(X197) )
| ( X196 = X197 )
| ( 5 != a(X196) )
| ( X195 = X197 )
| ~ $less(b(X197),3) )
& ! [X173: $int,X176: $int,X175: $int,X174: $int] :
( ( X174 = X175 )
| ( 2 != b(X174) )
| ( 1 != a(X176) )
| ( 5 != b(X173) )
| ( 7 != a(X174) )
| ~ $less(X175,X176)
| ( X175 = X176 )
| ( X174 = X176 )
| ( X173 = X175 )
| ( X173 = X176 )
| ( 10 != a(X175) )
| ( X173 = X174 )
| ~ $less(b(X175),3) )
& ( 5 = a(z3) )
& $less(b(z2),3)
& ! [X154: $int,X156: $int,X155: $int] :
( ( X154 = X155 )
| ( 2 != b(X156) )
| ( 5 != b(X155) )
| ( X154 = X156 )
| ( 5 != a(X154) )
| ( X155 = X156 )
| ( 10 != a(X156) )
| ~ $less(X156,X154) )
& ! [X128: $int,X127: $int,X129: $int,X130: $int] :
( ( 5 != a(X127) )
| ( 5 != b(X129) )
| ( X127 = X128 )
| ( 6 != a(X129) )
| ( 2 != b(X128) )
| ( X128 = X129 )
| ( X127 = X129 )
| ( X127 = X130 )
| ~ $less(b(X130),3)
| ~ $less(X130,X129)
| ( X128 = X130 )
| ( 10 != a(X130) )
| ( X129 = X130 ) )
& ( z2 != z3 )
& ! [X18: $int,X17: $int,X16: $int] :
( ( 10 != a(X16) )
| ( 4 != a(X18) )
| ( 4 != a(X17) )
| ( X17 = X18 )
| ( 2 != b(X16) )
| ( 5 != b(X17) )
| ~ $less(X16,X17)
| ( X16 = X18 )
| ( X16 = X17 ) )
& ( z3 != z4 ) ),
inference(flattening,[],[f18]) ).
tff(f18,plain,
( ( 2 = b(z4) )
& $less(z2,z1)
& ( 10 = a(z4) )
& ( 10 = a(z2) )
& $less(b(z2),3)
& ( 5 = a(z3) )
& ( 5 = b(z1) )
& ( 7 = a(z1) )
& ! [X66: $int,X65: $int,X64: $int] :
( ( X65 = X66 )
| ~ $less(b(X65),4)
| ~ $less(X66,X64)
| ( 1 != a(X64) )
| ( 8 != a(X65) )
| ( 10 != a(X66) )
| ( 2 != b(X66) )
| ( X64 = X65 )
| ( X64 = X66 ) )
& ! [X43: $int,X44: $int,X45: $int,X42: $int] :
( ( X44 = X45 )
| ( X42 = X43 )
| ( 8 != a(X43) )
| ( 2 != a(X42) )
| ( X43 = X44 )
| ~ $less(X44,X45)
| ( X42 = X44 )
| ~ $less(b(X44),3)
| ( X42 = X45 )
| ( 5 != a(X45) )
| ( 10 != a(X44) )
| ( X43 = X45 ) )
& ! [X196: $int,X197: $int,X195: $int] :
( ( X195 = X196 )
| ( 2 != b(X195) )
| ( 8 != a(X195) )
| ~ $less(X197,X196)
| ( 10 != a(X197) )
| ( X196 = X197 )
| ( 5 != a(X196) )
| ( X195 = X197 )
| ~ $less(b(X197),3) )
& ! [X18: $int,X17: $int,X16: $int] :
( ( 10 != a(X16) )
| ( 4 != a(X18) )
| ( 4 != a(X17) )
| ( X17 = X18 )
| ( 2 != b(X16) )
| ( 5 != b(X17) )
| ~ $less(X16,X17)
| ( X16 = X18 )
| ( X16 = X17 ) )
& ! [X189: $int,X190: $int,X188: $int] :
( ~ $less(X189,X190)
| ( X188 = X190 )
| ( X188 = X189 )
| ( 3 != a(X190) )
| ~ $less(b(X189),3)
| ~ $less(b(X190),4)
| ( 8 != a(X188) )
| ( 10 != a(X189) )
| ( X189 = X190 )
| ( 2 != b(X188) ) )
& ! [X109: $int,X108: $int,X110: $int] :
( ~ $less(X109,X108)
| ( 5 != b(X108) )
| ( X108 = X110 )
| ( X108 = X109 )
| ( 10 != a(X109) )
| ( 2 != b(X109) )
| ( 2 != a(X108) )
| ~ $less(b(X110),4)
| ( X109 = X110 )
| ( 7 != a(X110) ) )
& ! [X11: $int,X12: $int,X10: $int] :
( ( 2 != b(X12) )
| ( 4 != a(X10) )
| ( X10 = X11 )
| ( 10 != a(X12) )
| ( X11 = X12 )
| ( 7 != a(X11) )
| ( X10 = X12 )
| ( 5 != b(X11) )
| ~ $less(X12,X11) )
& ! [X91: $int,X93: $int,X92: $int] :
( ~ $less(b(X91),4)
| ( X91 = X92 )
| ~ $less(X92,X93)
| ( 2 != b(X92) )
| ( 7 != a(X91) )
| ( 1 != a(X93) )
| ( X91 = X93 )
| ( X92 = X93 )
| ( 10 != a(X92) )
| ( 5 != b(X93) ) )
& ! [X170: $int,X169: $int,X168: $int] :
( ( X168 = X170 )
| ( 6 != a(X168) )
| ( 5 != a(X169) )
| ( 10 != a(X170) )
| ( X168 = X169 )
| ( X169 = X170 )
| ( 2 != b(X170) )
| ~ $less(X170,X169)
| ( 5 != b(X169) ) )
& ! [X144: $int,X145: $int,X143: $int] :
( ~ $less(b(X145),3)
| ( X143 = X145 )
| ( X143 = X144 )
| ( 7 != a(X144) )
| ( 7 != a(X143) )
| ( 5 != b(X144) )
| ( X144 = X145 )
| ~ $less(X145,X144)
| ( 10 != a(X145) ) )
& ! [X135: $int,X136: $int,X134: $int] :
( ( 5 != b(X136) )
| ( 10 != a(X134) )
| ~ $less(X134,X136)
| ( X135 = X136 )
| ( 7 != a(X136) )
| ~ $less(b(X134),3)
| ( 6 != a(X135) )
| ( X134 = X136 )
| ( X134 = X135 ) )
& ! [X96: $int,X95: $int,X94: $int] :
( ( 2 != b(X94) )
| ( 10 != a(X96) )
| ( 8 != a(X94) )
| ~ $less(b(X96),3)
| ( 1 != a(X95) )
| ~ $less(X96,X95)
| ( X94 = X96 )
| ( X94 = X95 )
| ( X95 = X96 ) )
& ( z1 != z4 )
& ( z3 != z5 )
& ! [X128: $int,X127: $int,X129: $int,X130: $int] :
( ( 5 != a(X127) )
| ( 5 != b(X129) )
| ( X127 = X128 )
| ( 6 != a(X129) )
| ( 2 != b(X128) )
| ( X128 = X129 )
| ( X127 = X129 )
| ( X127 = X130 )
| ~ $less(b(X130),3)
| ~ $less(X130,X129)
| ( X128 = X130 )
| ( 10 != a(X130) )
| ( X129 = X130 ) )
& ! [X84: $int,X85: $int,X86: $int] :
( ( X84 = X86 )
| ( 8 != a(X84) )
| ( 10 != a(X86) )
| ( 2 != b(X86) )
| ( X84 = X85 )
| ( X85 = X86 )
| ( 5 != a(X85) )
| ~ $less(X86,X85) )
& ! [X69: $int,X67: $int,X68: $int] :
( ( 8 != a(X69) )
| ( X67 = X69 )
| ( 10 != a(X68) )
| ( 2 != a(X67) )
| ( X68 = X69 )
| ~ $less(X68,X67)
| ( 2 != b(X69) )
| ( X67 = X68 )
| ~ $less(b(X68),3) )
& ! [X89: $int,X87: $int,X90: $int,X88: $int] :
( ~ $less(b(X90),3)
| ~ $less(X90,X89)
| ( X87 = X88 )
| ( 2 != a(X87) )
| ( 5 != a(X89) )
| ( X88 = X90 )
| ( 10 != a(X90) )
| ( X89 = X90 )
| ( X87 = X90 )
| ( X87 = X89 )
| ( 5 != b(X88) )
| ( X88 = X89 ) )
& ! [X150: $int,X149: $int,X148: $int] :
( ( 2 != a(X149) )
| ( 2 != b(X148) )
| ( 10 != a(X148) )
| ( X148 = X150 )
| ( X148 = X149 )
| ( 5 != a(X150) )
| ( X149 = X150 )
| ~ $less(X148,X149)
| ( 5 != b(X149) ) )
& ( z1 != z3 )
& ! [X20: $int,X19: $int,X21: $int] :
( ( X19 = X21 )
| ( 7 != a(X21) )
| ( 10 != a(X19) )
| ( X20 = X21 )
| ( 6 != a(X20) )
| ( X19 = X20 )
| ~ $less(X19,X20)
| ~ $less(b(X19),3)
| ( 5 != b(X20) ) )
& ! [X242: $int,X239: $int,X240: $int,X241: $int] :
( ~ $less(X240,X242)
| ( X239 = X241 )
| ( 5 != b(X242) )
| ( X239 = X242 )
| ( 2 != a(X239) )
| ( 7 != a(X241) )
| ( X241 = X242 )
| ( X240 = X242 )
| ( 5 != a(X242) )
| ( X240 = X241 )
| ~ $less(b(X240),3)
| ( X239 = X240 )
| ( 10 != a(X240) ) )
& ! [X36: $int,X38: $int,X37: $int] :
( ~ $less(X36,X37)
| ( 5 != b(X38) )
| ( X36 = X38 )
| ( 6 != a(X37) )
| ( X36 = X37 )
| ( X37 = X38 )
| ~ $less(b(X36),3)
| ( 10 != a(X36) ) )
& ! [X260: $int,X257: $int,X258: $int,X259: $int] :
( ( X258 = X260 )
| ( X258 = X259 )
| ( 5 != a(X258) )
| ( 5 != b(X257) )
| ( X259 = X260 )
| ( 10 != a(X260) )
| ( X257 = X259 )
| ( X257 = X260 )
| ( 2 != b(X259) )
| ~ $less(X260,X258)
| ~ $less(b(X260),3)
| ( X257 = X258 ) )
& ! [X182: $int,X183: $int,X180: $int,X181: $int] :
( ( X181 = X183 )
| ( 7 != a(X182) )
| ( X181 = X182 )
| ~ $less(X181,X182)
| ( X180 = X183 )
| ( 5 != b(X182) )
| ( 10 != a(X181) )
| ( X180 = X181 )
| ~ $less(b(X181),3)
| ( 4 != a(X183) )
| ( 2 != b(X180) )
| ( X182 = X183 )
| ( X180 = X182 ) )
& ! [X107: $int,X106: $int,X105: $int] :
( ( 8 != a(X106) )
| ~ $less(X107,X105)
| ( X105 = X106 )
| ( X106 = X107 )
| ( 6 != a(X105) )
| ( X105 = X107 )
| ( 10 != a(X107) )
| ~ $less(b(X107),3) )
& ! [X152: $int,X153: $int,X151: $int] :
( ( X151 = X153 )
| ( 10 != a(X151) )
| ( X152 = X153 )
| ( X151 = X152 )
| ( 12 != a(X153) )
| ~ $less(X151,X153)
| ( 2 != b(X151) )
| ( 5 != b(X153) )
| ( 4 != a(X152) ) )
& ! [X61: $int,X62: $int,X60: $int,X63: $int] :
( ( 1 != a(X61) )
| ( 10 != a(X60) )
| ( 5 != b(X62) )
| ( X60 = X62 )
| ( X61 = X62 )
| ( X60 = X63 )
| ( X60 = X61 )
| ~ $less(X60,X63)
| ~ $less(b(X60),3)
| ( X61 = X63 )
| ( X62 = X63 )
| ( 5 != a(X63) ) )
& ! [X234: $int,X236: $int,X235: $int,X237: $int] :
( ( 4 != a(X236) )
| ( X234 = X235 )
| ( X235 = X236 )
| ( X234 = X236 )
| ( X236 = X237 )
| ~ $less(b(X237),3)
| ( 5 != b(X235) )
| ( X235 = X237 )
| ( 10 != a(X237) )
| ~ $less(X237,X236)
| ( 2 != b(X234) )
| ( X234 = X237 ) )
& ! [X214: $int,X213: $int,X215: $int] :
( ~ $less(X213,X214)
| ( 4 != a(X214) )
| ( 2 != b(X213) )
| ( X214 = X215 )
| ( X213 = X214 )
| ( 10 != a(X213) )
| ( X213 = X215 )
| ( 5 != a(X215) )
| ( 5 != b(X214) ) )
& ! [X154: $int,X156: $int,X155: $int] :
( ( X154 = X155 )
| ( 2 != b(X156) )
| ( 5 != b(X155) )
| ( X154 = X156 )
| ( 5 != a(X154) )
| ( X155 = X156 )
| ( 10 != a(X156) )
| ~ $less(X156,X154) )
& ! [X15: $int,X13: $int,X14: $int] :
( ( 2 != b(X15) )
| ( X13 = X15 )
| ~ $less(X14,X13)
| ( X13 = X14 )
| ~ $less(b(X14),3)
| ( 5 != b(X13) )
| ( 7 != a(X15) )
| ( X14 = X15 )
| ( 10 != a(X14) )
| ( 2 != a(X13) ) )
& ! [X238: $int] :
( ~ $less(a(X238),1)
& ~ $less(12,a(X238)) )
& ! [X113: $int,X111: $int,X112: $int] :
( ( 10 != a(X113) )
| ~ $less(X113,X112)
| ( X111 = X113 )
| ( X112 = X113 )
| ( 1 != a(X112) )
| ( X111 = X112 )
| ( 2 != b(X113) )
| ( 5 != a(X111) )
| ( 5 != b(X112) ) )
& ! [X51: $int,X50: $int,X49: $int] :
( ( 4 != a(X51) )
| ( X49 = X51 )
| ~ $less(X50,X51)
| ( 10 != a(X50) )
| ( 2 != b(X50) )
| ( X50 = X51 )
| ( 5 != b(X49) )
| ( X49 = X50 ) )
& ! [X263: $int,X261: $int,X262: $int] :
( ( 10 != a(X261) )
| ( 5 != b(X262) )
| ( 5 != a(X262) )
| ( 4 != a(X263) )
| ( X261 = X263 )
| ~ $less(X261,X262)
| ( X261 = X262 )
| ( 2 != b(X261) )
| ( X262 = X263 ) )
& ! [X121: $int,X122: $int,X120: $int] :
( ( X120 = X122 )
| ( 2 != b(X120) )
| ( X120 = X121 )
| ( 12 != a(X122) )
| ~ $less(b(X121),3)
| ( 10 != a(X121) )
| ~ $less(X121,X122)
| ( 8 != a(X120) )
| ( X121 = X122 ) )
& ! [X2: $int,X0: $int,X1: $int] :
( ( X0 = X1 )
| ~ $less(X0,X2)
| ~ $less(b(X1),4)
| ( a(X1) != 8 )
| ( a(X0) != 10 )
| ( X0 = X2 )
| ( b(X0) != 2 )
| ( 12 != a(X2) )
| ( X1 = X2 ) )
& ( z2 != z4 )
& ! [X217: $int,X219: $int,X218: $int,X216: $int] :
( ( X217 = X218 )
| ( X216 = X219 )
| ~ $less(b(X218),4)
| ( 5 != b(X219) )
| ( 10 != a(X216) )
| ( X216 = X217 )
| ( X217 = X219 )
| ( X216 = X218 )
| ( X218 = X219 )
| ( 2 != b(X216) )
| ~ $less(X216,X218)
| ~ $less(b(X217),4)
| ( 3 != a(X218) )
| ( 7 != a(X217) ) )
& ! [X54: $int,X52: $int,X53: $int] :
( ( 10 != a(X52) )
| ( X52 = X54 )
| ( X52 = X53 )
| ( 4 != a(X53) )
| ( 8 != a(X54) )
| ( X53 = X54 )
| ~ $less(X52,X53)
| ~ $less(b(X52),3)
| ( 2 != b(X54) ) )
& ! [X117: $int,X119: $int,X118: $int] :
( ~ $less(X118,X117)
| ( X117 = X119 )
| ( X118 = X119 )
| ( 2 != a(X117) )
| ( 10 != a(X118) )
| ( X117 = X118 )
| ( 2 != b(X118) )
| ( 4 != a(X119) )
| ( 5 != b(X117) ) )
& ! [X56: $int,X55: $int] :
( ( 10 != a(X55) )
| ( 8 != a(X56) )
| ~ $less(b(X55),3)
| ~ $less(X55,X56)
| ( X55 = X56 ) )
& ( z1 != z5 )
& ! [X35: $int,X34: $int,X33: $int] :
( ( X33 = X34 )
| ( 10 != a(X33) )
| ( 2 != b(X33) )
| ( X34 = X35 )
| ( 5 != a(X35) )
| ( 5 != a(X34) )
| ( 5 != b(X34) )
| ~ $less(X33,X34)
| ( X33 = X35 ) )
& ! [X177: $int,X178: $int,X179: $int] :
( ( X177 = X179 )
| ~ $less(b(X179),3)
| ~ $less(X179,X177)
| ( 10 != a(X179) )
| ( 2 != b(X178) )
| ( 5 != a(X177) )
| ( 5 != b(X177) )
| ( X177 = X178 )
| ( X178 = X179 )
| ( 6 != a(X178) ) )
& ! [X158: $int,X160: $int,X157: $int,X159: $int] :
( ~ $less(X159,X160)
| ( X157 = X158 )
| ( X159 = X160 )
| ( 10 != a(X159) )
| ( X158 = X160 )
| ( X157 = X160 )
| ( X158 = X159 )
| ( 5 != b(X158) )
| ( 2 != a(X157) )
| ( 4 != a(X160) )
| ~ $less(b(X159),3)
| ( X157 = X159 ) )
& ! [X172: $int,X171: $int] :
( ~ $less(b(X172),3)
| ( X171 = X172 )
| ~ $less(X172,X171)
| ( 10 != a(X172) )
| ( 9 != a(X171) ) )
& ! [X125: $int,X123: $int,X124: $int,X126: $int] :
( ( X124 = X126 )
| ( X123 = X126 )
| ( 7 != a(X126) )
| ~ $less(b(X123),3)
| ( X123 = X125 )
| ( 12 != a(X125) )
| ( X123 = X124 )
| ( 2 != b(X126) )
| ~ $less(X123,X125)
| ( 5 != b(X124) )
| ( 10 != a(X123) )
| ( X125 = X126 )
| ( X124 = X125 ) )
& ! [X70: $int,X73: $int,X72: $int,X71: $int] :
( ( 5 != b(X72) )
| ( X72 = X73 )
| ~ $less(X70,X71)
| ( 1 != a(X71) )
| ( X70 = X72 )
| ( 7 != a(X73) )
| ( X70 = X73 )
| ~ $less(b(X73),4)
| ( X71 = X73 )
| ( X70 = X71 )
| ( 2 != b(X70) )
| ( X71 = X72 )
| ( 10 != a(X70) ) )
& ! [X167: $int,X166: $int,X165: $int] :
( ( 5 != b(X167) )
| ( 12 != a(X167) )
| ( 2 != b(X166) )
| ( 7 != a(X166) )
| ( X166 = X167 )
| ~ $less(X165,X167)
| ( X165 = X167 )
| ( 10 != a(X165) )
| ~ $less(b(X165),3)
| ( X165 = X166 ) )
& ( z4 != z5 )
& ! [X131: $int,X133: $int,X132: $int] :
( ( 5 != b(X131) )
| ( 1 != a(X131) )
| ( X131 = X133 )
| ~ $less(b(X133),3)
| ( X131 = X132 )
| ( 10 != a(X133) )
| ( 2 != b(X132) )
| ~ $less(X133,X131)
| ( 7 != a(X132) )
| ( X132 = X133 ) )
& ! [X245: $int,X244: $int,X243: $int,X246: $int] :
( ( 8 != a(X245) )
| ( X243 = X244 )
| ( 5 != a(X246) )
| ( X243 = X245 )
| ( X244 = X245 )
| ~ $less(X244,X246)
| ( X243 = X246 )
| ( X244 = X246 )
| ~ $less(b(X244),3)
| ( 10 != a(X244) )
| ( 2 != b(X243) )
| ( X245 = X246 ) )
& ! [X201: $int,X203: $int,X202: $int] :
( ( 10 != a(X202) )
| ( 8 != a(X203) )
| ( X201 = X203 )
| ( 4 != a(X201) )
| ~ $less(X202,X201)
| ( X201 = X202 )
| ( X202 = X203 )
| ( 2 != b(X202) ) )
& ! [X46: $int,X47: $int,X48: $int] :
( ( 12 != a(X47) )
| ( 10 != a(X46) )
| ~ $less(X46,X47)
| ( 5 != a(X48) )
| ( X46 = X48 )
| ( X47 = X48 )
| ( X46 = X47 )
| ( 5 != b(X47) )
| ( 2 != b(X46) ) )
& ! [X97: $int,X99: $int,X98: $int] :
( ( 7 != a(X98) )
| ~ $less(X97,X98)
| ( 10 != a(X97) )
| ( X97 = X99 )
| ( X98 = X99 )
| ~ $less(b(X97),3)
| ( X97 = X98 )
| ( 8 != a(X99) ) )
& ! [X32: $int,X31: $int,X30: $int] :
( ( X30 = X31 )
| ( 1 != a(X31) )
| ( X30 = X32 )
| ( 10 != a(X30) )
| ( 2 != b(X30) )
| ( 6 != a(X32) )
| ~ $less(X30,X31)
| ( 5 != b(X31) )
| ( X31 = X32 ) )
& ! [X200: $int,X198: $int,X199: $int] :
( ( 2 != b(X200) )
| ( 10 != a(X200) )
| ( 6 != a(X198) )
| ( X198 = X200 )
| ( 4 != a(X199) )
| ~ $less(X200,X198)
| ( 5 != b(X198) )
| ( X198 = X199 )
| ( X199 = X200 ) )
& ! [X185: $int,X186: $int,X184: $int,X187: $int] :
( ( 10 != a(X185) )
| ( 2 != b(X186) )
| ( X184 = X186 )
| ( 5 != b(X184) )
| ( X184 = X187 )
| ( X184 = X185 )
| ( X185 = X186 )
| ( X186 = X187 )
| ( 5 != a(X187) )
| ( 7 != a(X184) )
| ( X185 = X187 )
| ~ $less(b(X185),3)
| ~ $less(X185,X184) )
& ! [X6: $int,X5: $int,X4: $int,X3: $int] :
( ( 2 != b(X5) )
| ( X5 = X6 )
| ( X4 = X6 )
| ( X3 = X5 )
| ( 5 != b(X6) )
| ( 12 != a(X4) )
| ( 10 != a(X5) )
| ~ $less(b(X3),4)
| ( X3 = X4 )
| ( X3 = X6 )
| ( X4 = X5 )
| ~ $less(X5,X4)
| ( 7 != a(X3) ) )
& ! [X208: $int,X209: $int,X207: $int] :
( ( 7 != a(X208) )
| ( 10 != a(X207) )
| ~ $less(X207,X208)
| ( 5 != b(X209) )
| ~ $less(b(X207),3)
| ( X207 = X208 )
| ( X208 = X209 )
| ( X207 = X209 ) )
& ( z1 != z2 )
& ! [X250: $int,X253: $int,X252: $int,X251: $int] :
( ( 7 != a(X252) )
| ( X250 = X251 )
| ( 2 != b(X250) )
| ( X251 = X252 )
| ~ $less(X253,X251)
| ~ $less(b(X253),3)
| ( 5 != a(X251) )
| ( 5 != b(X251) )
| ( X250 = X252 )
| ( X250 = X253 )
| ( 10 != a(X253) )
| ( X252 = X253 )
| ( X251 = X253 ) )
& ! [X25: $int,X24: $int,X22: $int,X23: $int] :
( ( X22 = X23 )
| ( 10 != a(X25) )
| ( 2 != b(X22) )
| ( X23 = X25 )
| ( 5 != a(X24) )
| ( X22 = X25 )
| ~ $less(X25,X24)
| ( X22 = X24 )
| ( X23 = X24 )
| ( 2 != b(X23) )
| ( 5 != a(X23) )
| ( X24 = X25 )
| ( 5 != b(X24) )
| ~ $less(b(X25),3) )
& ! [X228: $int,X229: $int,X227: $int] :
( ( 10 != a(X227) )
| ( 6 != a(X229) )
| ( X227 = X228 )
| ( 5 != b(X229) )
| ( X227 = X229 )
| ( X228 = X229 )
| ~ $less(X227,X229)
| ( 2 != b(X227) )
| ( 5 != a(X228) ) )
& ! [X104: $int] :
( ~ $less(b(X104),1)
& ~ $less(5,b(X104)) )
& ! [X248: $int,X249: $int,X247: $int] :
( ~ $less(X247,X248)
| ( 2 != b(X247) )
| ( 2 != a(X248) )
| ( X247 = X248 )
| ( 6 != a(X249) )
| ( 5 != b(X248) )
| ( 10 != a(X247) )
| ( X248 = X249 )
| ( X247 = X249 ) )
& ! [X233: $int,X231: $int,X232: $int,X230: $int] :
( ( X232 = X233 )
| ( 7 != a(X232) )
| ( 5 != b(X233) )
| ~ $less(X231,X230)
| ~ $less(b(X231),3)
| ( X231 = X232 )
| ( X230 = X232 )
| ( 2 != b(X232) )
| ( 10 != a(X231) )
| ( X230 = X233 )
| ( X230 = X231 )
| ( X231 = X233 )
| ( 4 != a(X230) ) )
& ! [X222: $int,X221: $int,X220: $int] :
( ( 5 != b(X222) )
| ( 12 != a(X222) )
| ( X220 = X222 )
| ( 2 != b(X221) )
| ( 7 != a(X220) )
| ~ $less(b(X220),4)
| ~ $less(X221,X222)
| ( X221 = X222 )
| ( 10 != a(X221) )
| ( X220 = X221 ) )
& ! [X206: $int,X205: $int,X204: $int] :
( ~ $less(X205,X204)
| ( X204 = X206 )
| ( 6 != a(X204) )
| ( 10 != a(X205) )
| ( X204 = X205 )
| ( 6 != a(X206) )
| ( X205 = X206 )
| ~ $less(b(X205),3)
| ( 5 != b(X204) ) )
& ! [X137: $int,X139: $int,X138: $int] :
( ( X137 = X139 )
| ( 1 != a(X138) )
| ( X138 = X139 )
| ( 5 != b(X138) )
| ( 2 != b(X137) )
| ( 4 != a(X139) )
| ~ $less(X137,X138)
| ( X137 = X138 )
| ( 10 != a(X137) ) )
& ! [X59: $int,X58: $int,X57: $int] :
( ( 10 != a(X58) )
| ( 8 != a(X57) )
| ~ $less(b(X57),4)
| ( 2 != b(X58) )
| ( X57 = X58 )
| ( X58 = X59 )
| ( X57 = X59 )
| ~ $less(b(X59),4)
| ~ $less(X58,X59)
| ( 3 != a(X59) ) )
& ! [X173: $int,X176: $int,X175: $int,X174: $int] :
( ( X174 = X175 )
| ( 2 != b(X174) )
| ( 1 != a(X176) )
| ( 5 != b(X173) )
| ( 7 != a(X174) )
| ~ $less(X175,X176)
| ( X175 = X176 )
| ( X174 = X176 )
| ( X173 = X175 )
| ( X173 = X176 )
| ( 10 != a(X175) )
| ( X173 = X174 )
| ~ $less(b(X175),3) )
& ! [X27: $int,X29: $int,X28: $int,X26: $int] :
( ( X26 = X29 )
| ( X26 = X27 )
| ( 10 != a(X28) )
| ( X27 = X28 )
| ( 5 != b(X29) )
| ( 2 != b(X26) )
| ( X28 = X29 )
| ( 5 != a(X29) )
| ( X26 = X28 )
| ( X27 = X29 )
| ~ $less(b(X28),3)
| ( 6 != a(X27) )
| ~ $less(X28,X29) )
& ! [X101: $int,X103: $int,X100: $int,X102: $int] :
( ( 10 != a(X102) )
| ( 7 != a(X103) )
| ( X100 = X101 )
| ( X100 = X103 )
| ( X101 = X103 )
| ( X102 = X103 )
| ~ $less(b(X102),3)
| ~ $less(X102,X103)
| ( 5 != a(X100) )
| ( X100 = X102 )
| ( X101 = X102 )
| ( 5 != b(X103) )
| ( 2 != a(X101) ) )
& ! [X78: $int,X79: $int,X80: $int] :
( ~ $less(X80,X78)
| ( 8 != a(X79) )
| ~ $less(b(X79),4)
| ( 2 != a(X78) )
| ( X78 = X80 )
| ( X79 = X80 )
| ( X78 = X79 )
| ( 2 != b(X80) )
| ( 10 != a(X80) ) )
& ! [X75: $int,X76: $int,X77: $int,X74: $int] :
( ( 7 != a(X75) )
| ( X75 = X77 )
| ( X74 = X75 )
| ( X74 = X76 )
| ( X75 = X76 )
| ~ $less(b(X77),3)
| ( X74 = X77 )
| ( 2 != a(X76) )
| ( 10 != a(X77) )
| ( 5 != b(X74) )
| ( X76 = X77 )
| ( 2 != b(X75) )
| ~ $less(X77,X76) )
& ! [X192: $int,X191: $int,X194: $int,X193: $int] :
( ( X191 = X192 )
| ( 10 != a(X193) )
| ( 5 != b(X194) )
| ( X193 = X194 )
| ( 7 != a(X191) )
| ~ $less(X193,X192)
| ( 2 != a(X192) )
| ~ $less(b(X191),4)
| ( X192 = X194 )
| ( 2 != b(X193) )
| ( X191 = X193 )
| ( X191 = X194 )
| ( X192 = X193 ) )
& ( z2 != z3 )
& ! [X162: $int,X163: $int,X164: $int,X161: $int] :
( ~ $less(b(X161),3)
| ( 10 != a(X161) )
| ( X163 = X164 )
| ( X161 = X162 )
| ( X161 = X163 )
| ( 4 != a(X163) )
| ~ $less(X161,X163)
| ( X161 = X164 )
| ( 8 != a(X162) )
| ( 2 != b(X164) )
| ( X162 = X164 )
| ( X162 = X163 ) )
& ! [X82: $int,X83: $int,X81: $int] :
( ( 12 != a(X81) )
| ( 6 != a(X83) )
| ( X81 = X83 )
| ( X81 = X82 )
| ( 2 != b(X82) )
| ~ $less(X82,X81)
| ( X82 = X83 )
| ( 5 != b(X81) )
| ( 10 != a(X82) ) )
& ! [X255: $int,X256: $int,X254: $int] :
( ( 2 != b(X254) )
| ( 10 != a(X254) )
| ( 7 != a(X255) )
| ( X254 = X255 )
| ( X255 = X256 )
| ( X254 = X256 )
| ~ $less(X254,X256)
| ( 5 != a(X256) )
| ( 5 != b(X256) ) )
& ! [X147: $int,X146: $int] :
( ( X146 = X147 )
| ( 10 != a(X147) )
| ( 10 != a(X146) ) )
& ! [X212: $int,X211: $int,X210: $int] :
( ~ $less(b(X212),3)
| ( 10 != a(X212) )
| ( 2 != b(X211) )
| ( X210 = X212 )
| ~ $less(X212,X210)
| ( 5 != b(X210) )
| ( X211 = X212 )
| ( X210 = X211 )
| ( 7 != a(X211) )
| ( 5 != a(X210) ) )
& ! [X114: $int,X116: $int,X115: $int] :
( ( 7 != a(X114) )
| ( 5 != b(X116) )
| ( 2 != b(X114) )
| ( 4 != a(X116) )
| ( X114 = X116 )
| ~ $less(b(X115),3)
| ~ $less(X115,X116)
| ( X115 = X116 )
| ( X114 = X115 )
| ( 10 != a(X115) ) )
& ! [X141: $int,X140: $int,X142: $int] :
( ( 6 != a(X140) )
| ( 10 != a(X141) )
| ( X140 = X142 )
| ~ $less(X141,X142)
| ( X141 = X142 )
| ( 2 != b(X141) )
| ( 5 != b(X142) )
| ( X140 = X141 )
| ( 4 != a(X142) ) )
& ! [X7: $int,X8: $int,X9: $int] :
( ( X7 = X8 )
| ( 4 != a(X8) )
| ~ $less(X7,X8)
| ( 2 != b(X7) )
| ( 5 != b(X8) )
| ( 7 != a(X9) )
| ( 10 != a(X7) )
| ( X8 = X9 )
| ( X7 = X9 ) )
& ! [X40: $int,X39: $int,X41: $int] :
( ( X39 = X40 )
| ( 7 != a(X41) )
| ( 2 != b(X39) )
| ( X40 = X41 )
| ( 5 != a(X40) )
| ( 5 != b(X41) )
| ~ $less(X39,X41)
| ( X39 = X41 )
| ( 10 != a(X39) ) )
& ( z3 != z4 )
& ( z2 != z5 )
& ! [X226: $int,X225: $int,X223: $int,X224: $int] :
( ( X223 = X225 )
| ( 7 != a(X226) )
| ~ $less(X223,X225)
| ( X225 = X226 )
| ( X224 = X226 )
| ~ $less(b(X225),4)
| ~ $less(b(X223),3)
| ( 3 != a(X225) )
| ( X223 = X226 )
| ( 10 != a(X223) )
| ( 2 != b(X226) )
| ( X224 = X225 )
| ( X223 = X224 )
| ( 5 != b(X224) ) ) ),
inference(ennf_transformation,[],[f17]) ).
tff(f17,plain,
~ ( ( ! [X66: $int,X65: $int,X64: $int] :
~ ( $less(X66,X64)
& ( 10 = a(X66) )
& ( X64 != X65 )
& ( 8 = a(X65) )
& ( X64 != X66 )
& ( 1 = a(X64) )
& ( X65 != X66 )
& ( 2 = b(X66) )
& $less(b(X65),4) )
& ! [X44: $int,X43: $int,X42: $int,X45: $int] :
~ ( $less(X44,X45)
& ( 2 = a(X42) )
& $less(b(X44),3)
& ( X42 != X43 )
& ( 10 = a(X44) )
& ( 5 = a(X45) )
& ( X44 != X45 )
& ( X43 != X44 )
& ( 8 = a(X43) )
& ( X42 != X44 )
& ( X42 != X45 )
& ( X43 != X45 ) )
& ! [X195: $int,X196: $int,X197: $int] :
~ ( ( X195 != X196 )
& ( 2 = b(X195) )
& ( 10 = a(X197) )
& ( 5 = a(X196) )
& ( X195 != X197 )
& ( X196 != X197 )
& $less(b(X197),3)
& $less(X197,X196)
& ( 8 = a(X195) ) )
& ! [X18: $int,X16: $int,X17: $int] :
~ ( ( 2 = b(X16) )
& ( 10 = a(X16) )
& ( 5 = b(X17) )
& ( 4 = a(X18) )
& ( X17 != X18 )
& ( 4 = a(X17) )
& ( X16 != X17 )
& $less(X16,X17)
& ( X16 != X18 ) )
& ! [X189: $int,X190: $int,X188: $int] :
~ ( ( 8 = a(X188) )
& $less(b(X189),3)
& ( X189 != X190 )
& ( X188 != X189 )
& ( 3 = a(X190) )
& $less(b(X190),4)
& ( X188 != X190 )
& ( 10 = a(X189) )
& $less(X189,X190)
& ( 2 = b(X188) ) )
& ! [X109: $int,X110: $int,X108: $int] :
~ ( $less(X109,X108)
& $less(b(X110),4)
& ( 2 = a(X108) )
& ( 5 = b(X108) )
& ( X108 != X109 )
& ( 7 = a(X110) )
& ( 2 = b(X109) )
& ( X108 != X110 )
& ( 10 = a(X109) )
& ( X109 != X110 ) )
& ! [X12: $int,X10: $int,X11: $int] :
~ ( ( 10 = a(X12) )
& ( X10 != X11 )
& ( X11 != X12 )
& ( 4 = a(X10) )
& ( 7 = a(X11) )
& ( 5 = b(X11) )
& ( 2 = b(X12) )
& $less(X12,X11)
& ( X10 != X12 ) )
& ! [X93: $int,X91: $int,X92: $int] :
~ ( ( 2 = b(X92) )
& ( 1 = a(X93) )
& ( X91 != X93 )
& ( 10 = a(X92) )
& $less(b(X91),4)
& ( X92 != X93 )
& ( 5 = b(X93) )
& ( 7 = a(X91) )
& $less(X92,X93)
& ( X91 != X92 ) )
& ! [X169: $int,X170: $int,X168: $int] :
~ ( $less(X170,X169)
& ( X169 != X170 )
& ( X168 != X169 )
& ( 6 = a(X168) )
& ( 2 = b(X170) )
& ( 10 = a(X170) )
& ( X168 != X170 )
& ( 5 = b(X169) )
& ( 5 = a(X169) ) )
& ! [X145: $int,X144: $int,X143: $int] :
~ ( ( 7 = a(X143) )
& $less(b(X145),3)
& ( 10 = a(X145) )
& ( X144 != X145 )
& ( X143 != X144 )
& ( X143 != X145 )
& $less(X145,X144)
& ( 7 = a(X144) )
& ( 5 = b(X144) ) )
& ! [X135: $int,X134: $int,X136: $int] :
~ ( $less(b(X134),3)
& ( 5 = b(X136) )
& ( 6 = a(X135) )
& $less(X134,X136)
& ( 10 = a(X134) )
& ( X134 != X135 )
& ( 7 = a(X136) )
& ( X134 != X136 )
& ( X135 != X136 ) )
& ! [X94: $int,X95: $int,X96: $int] :
~ ( ( X95 != X96 )
& ( X94 != X95 )
& $less(X96,X95)
& $less(b(X96),3)
& ( 1 = a(X95) )
& ( 8 = a(X94) )
& ( 10 = a(X96) )
& ( 2 = b(X94) )
& ( X94 != X96 ) )
& ( z1 != z4 )
& ( z3 != z5 )
& ! [X128: $int,X129: $int,X127: $int,X130: $int] :
~ ( $less(b(X130),3)
& ( X128 != X129 )
& ( 5 = b(X129) )
& ( 10 = a(X130) )
& ( X127 != X129 )
& ( X127 != X128 )
& ( X128 != X130 )
& $less(X130,X129)
& ( 5 = a(X127) )
& ( 6 = a(X129) )
& ( X129 != X130 )
& ( 2 = b(X128) )
& ( X127 != X130 ) )
& ! [X84: $int,X86: $int,X85: $int] :
~ ( ( 2 = b(X86) )
& ( 10 = a(X86) )
& ( X84 != X85 )
& ( X84 != X86 )
& $less(X86,X85)
& ( X85 != X86 )
& ( 8 = a(X84) )
& ( 5 = a(X85) ) )
& ! [X69: $int,X67: $int,X68: $int] :
~ ( $less(b(X68),3)
& $less(X68,X67)
& ( 10 = a(X68) )
& ( X67 != X69 )
& ( X67 != X68 )
& ( 2 = b(X69) )
& ( 2 = a(X67) )
& ( 8 = a(X69) )
& ( X68 != X69 ) )
& ! [X89: $int,X90: $int,X88: $int,X87: $int] :
~ ( ( X89 != X90 )
& ( X88 != X90 )
& $less(X90,X89)
& ( X87 != X88 )
& ( X88 != X89 )
& ( 2 = a(X87) )
& ( 5 = b(X88) )
& ( 10 = a(X90) )
& ( X87 != X89 )
& ( 5 = a(X89) )
& ( X87 != X90 )
& $less(b(X90),3) )
& ! [X148: $int,X149: $int,X150: $int] :
~ ( ( X148 != X150 )
& ( X149 != X150 )
& ( X148 != X149 )
& ( 5 = b(X149) )
& ( 2 = b(X148) )
& ( 5 = a(X150) )
& ( 10 = a(X148) )
& $less(X148,X149)
& ( 2 = a(X149) ) )
& ( z1 != z3 )
& ! [X19: $int,X21: $int,X20: $int] :
~ ( ( X20 != X21 )
& ( 5 = b(X20) )
& ( 6 = a(X20) )
& ( X19 != X21 )
& ( X19 != X20 )
& $less(X19,X20)
& ( 7 = a(X21) )
& ( 10 = a(X19) )
& $less(b(X19),3) )
& ! [X242: $int,X240: $int,X239: $int,X241: $int] :
~ ( ( X240 != X241 )
& ( X239 != X240 )
& $less(X240,X242)
& ( X239 != X242 )
& $less(b(X240),3)
& ( 7 = a(X241) )
& ( X241 != X242 )
& ( 2 = a(X239) )
& ( 5 = a(X242) )
& ( 5 = b(X242) )
& ( X240 != X242 )
& ( 10 = a(X240) )
& ( X239 != X241 ) )
& ! [X38: $int,X37: $int,X36: $int] :
~ ( ( 6 = a(X37) )
& ( 5 = b(X38) )
& ( X36 != X37 )
& ( X36 != X38 )
& ( 10 = a(X36) )
& $less(X36,X37)
& $less(b(X36),3)
& ( X37 != X38 ) )
& ! [X258: $int,X260: $int,X257: $int,X259: $int] :
~ ( ( X257 != X260 )
& ( X257 != X258 )
& ( 2 = b(X259) )
& $less(b(X260),3)
& ( X259 != X260 )
& ( 5 = b(X257) )
& ( X257 != X259 )
& ( 10 = a(X260) )
& ( X258 != X260 )
& ( 5 = a(X258) )
& ( X258 != X259 )
& $less(X260,X258) )
& ! [X183: $int,X181: $int,X180: $int,X182: $int] :
~ ( ( X181 != X182 )
& ( X181 != X183 )
& $less(X181,X182)
& ( X180 != X181 )
& ( 10 = a(X181) )
& ( 4 = a(X183) )
& $less(b(X181),3)
& ( X180 != X182 )
& ( 7 = a(X182) )
& ( 2 = b(X180) )
& ( X182 != X183 )
& ( 5 = b(X182) )
& ( X180 != X183 ) )
& ! [X105: $int,X106: $int,X107: $int] :
~ ( ( 6 = a(X105) )
& ( 8 = a(X106) )
& ( X105 != X106 )
& ( X105 != X107 )
& ( X106 != X107 )
& $less(X107,X105)
& $less(b(X107),3)
& ( 10 = a(X107) ) )
& ! [X153: $int,X152: $int,X151: $int] :
~ ( ( 2 = b(X151) )
& ( X152 != X153 )
& ( 5 = b(X153) )
& ( X151 != X152 )
& ( X151 != X153 )
& ( 4 = a(X152) )
& ( 10 = a(X151) )
& $less(X151,X153)
& ( 12 = a(X153) ) )
& ! [X62: $int,X61: $int,X63: $int,X60: $int] :
~ ( ( X61 != X62 )
& ( 5 = b(X62) )
& ( X60 != X61 )
& ( X60 != X63 )
& $less(X60,X63)
& ( 10 = a(X60) )
& $less(b(X60),3)
& ( X62 != X63 )
& ( 5 = a(X63) )
& ( X61 != X63 )
& ( X60 != X62 )
& ( 1 = a(X61) ) )
& ! [X236: $int,X234: $int,X237: $int,X235: $int] :
~ ( ( X235 != X236 )
& ( X234 != X237 )
& $less(b(X237),3)
& $less(X237,X236)
& ( 5 = b(X235) )
& ( X234 != X236 )
& ( X234 != X235 )
& ( 2 = b(X234) )
& ( 10 = a(X237) )
& ( X235 != X237 )
& ( 4 = a(X236) )
& ( X236 != X237 ) )
& ! [X213: $int,X214: $int,X215: $int] :
~ ( ( 10 = a(X213) )
& ( 2 = b(X213) )
& ( X213 != X215 )
& ( X213 != X214 )
& ( 5 = a(X215) )
& $less(X213,X214)
& ( 5 = b(X214) )
& ( X214 != X215 )
& ( 4 = a(X214) ) )
& ! [X154: $int,X155: $int,X156: $int] :
~ ( ( 5 = a(X154) )
& ( X155 != X156 )
& ( 10 = a(X156) )
& $less(X156,X154)
& ( X154 != X155 )
& ( X154 != X156 )
& ( 2 = b(X156) )
& ( 5 = b(X155) ) )
& ! [X13: $int,X15: $int,X14: $int] :
~ ( ( X13 != X14 )
& ( 7 = a(X15) )
& ( 2 = b(X15) )
& ( 10 = a(X14) )
& ( 2 = a(X13) )
& ( X14 != X15 )
& ( X13 != X15 )
& $less(X14,X13)
& $less(b(X14),3)
& ( 5 = b(X13) ) )
& ! [X238: $int] :
( ~ $less(a(X238),1)
& ~ $less(12,a(X238)) )
& ! [X113: $int,X112: $int,X111: $int] :
~ ( ( 10 = a(X113) )
& ( X111 != X113 )
& $less(X113,X112)
& ( 1 = a(X112) )
& ( X112 != X113 )
& ( 2 = b(X113) )
& ( 5 = a(X111) )
& ( 5 = b(X112) )
& ( X111 != X112 ) )
& ! [X49: $int,X50: $int,X51: $int] :
~ ( ( 5 = b(X49) )
& ( X49 != X50 )
& $less(X50,X51)
& ( 10 = a(X50) )
& ( 2 = b(X50) )
& ( X50 != X51 )
& ( X49 != X51 )
& ( 4 = a(X51) ) )
& ! [X261: $int,X263: $int,X262: $int] :
~ ( ( 5 = a(X262) )
& ( X261 != X263 )
& ( X261 != X262 )
& ( 4 = a(X263) )
& ( 10 = a(X261) )
& $less(X261,X262)
& ( 5 = b(X262) )
& ( 2 = b(X261) )
& ( X262 != X263 ) )
& ! [X122: $int,X121: $int,X120: $int] :
~ ( ( 12 = a(X122) )
& ( 2 = b(X120) )
& ( X120 != X122 )
& ( X120 != X121 )
& ( X121 != X122 )
& ( 8 = a(X120) )
& $less(b(X121),3)
& ( 10 = a(X121) )
& $less(X121,X122) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 8 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(b(X1),4)
& ( a(X0) = 10 )
& ( X0 != X2 )
& ( 12 = a(X2) )
& ( b(X0) = 2 )
& $less(X0,X2) )
& ( z2 != z4 )
& ! [X216: $int,X217: $int,X218: $int,X219: $int] :
~ ( ( X216 != X218 )
& ( 2 = b(X216) )
& ( X218 != X219 )
& $less(b(X218),4)
& ( 5 = b(X219) )
& ( 7 = a(X217) )
& $less(X216,X218)
& $less(b(X217),4)
& ( 10 = a(X216) )
& ( X217 != X219 )
& ( X216 != X217 )
& ( 3 = a(X218) )
& ( X217 != X218 )
& ( X216 != X219 ) )
& ! [X53: $int,X54: $int,X52: $int] :
~ ( ( X53 != X54 )
& ( 4 = a(X53) )
& ( 8 = a(X54) )
& $less(X52,X53)
& ( 2 = b(X54) )
& ( X52 != X53 )
& $less(b(X52),3)
& ( X52 != X54 )
& ( 10 = a(X52) ) )
& ! [X117: $int,X119: $int,X118: $int] :
~ ( ( X117 != X119 )
& ( 2 = a(X117) )
& ( X118 != X119 )
& ( 2 = b(X118) )
& ( 5 = b(X117) )
& ( 10 = a(X118) )
& ( 4 = a(X119) )
& ( X117 != X118 )
& $less(X118,X117) )
& ! [X55: $int,X56: $int] :
~ ( ( 10 = a(X55) )
& ( 8 = a(X56) )
& $less(X55,X56)
& ( X55 != X56 )
& $less(b(X55),3) )
& ( z1 != z5 )
& ! [X34: $int,X33: $int,X35: $int] :
~ ( ( X33 != X35 )
& ( X34 != X35 )
& $less(X33,X34)
& ( X33 != X34 )
& ( 5 = b(X34) )
& ( 10 = a(X33) )
& ( 5 = a(X35) )
& ( 2 = b(X33) )
& ( 5 = a(X34) ) )
& ! [X178: $int,X179: $int,X177: $int] :
~ ( ( X177 != X179 )
& ( 6 = a(X178) )
& ( 10 = a(X179) )
& ( 2 = b(X178) )
& ( X177 != X178 )
& ( 5 = b(X177) )
& $less(X179,X177)
& $less(b(X179),3)
& ( X178 != X179 )
& ( 5 = a(X177) ) )
& ! [X158: $int,X157: $int,X160: $int,X159: $int] :
~ ( ( X157 != X158 )
& ( 10 = a(X159) )
& ( 4 = a(X160) )
& ( X158 != X159 )
& $less(b(X159),3)
& ( X157 != X160 )
& ( 2 = a(X157) )
& $less(X159,X160)
& ( 5 = b(X158) )
& ( X159 != X160 )
& ( X158 != X160 )
& ( X157 != X159 ) )
& ! [X171: $int,X172: $int] :
~ ( ( X171 != X172 )
& ( 10 = a(X172) )
& $less(X172,X171)
& $less(b(X172),3)
& ( 9 = a(X171) ) )
& ! [X126: $int,X125: $int,X123: $int,X124: $int] :
~ ( $less(X123,X125)
& ( 10 = a(X123) )
& ( X123 != X125 )
& ( X124 != X126 )
& ( 5 = b(X124) )
& ( X124 != X125 )
& ( X123 != X126 )
& ( 7 = a(X126) )
& ( X125 != X126 )
& ( 12 = a(X125) )
& ( X123 != X124 )
& $less(b(X123),3)
& ( 2 = b(X126) ) )
& ! [X72: $int,X71: $int,X73: $int,X70: $int] :
~ ( ( X72 != X73 )
& ( 5 = b(X72) )
& $less(b(X73),4)
& ( X70 != X71 )
& ( 2 = b(X70) )
& ( X70 != X73 )
& ( X71 != X73 )
& ( X70 != X72 )
& ( 1 = a(X71) )
& $less(X70,X71)
& ( 7 = a(X73) )
& ( 10 = a(X70) )
& ( X71 != X72 ) )
& ! [X165: $int,X166: $int,X167: $int] :
~ ( $less(X165,X167)
& ( X165 != X166 )
& $less(b(X165),3)
& ( 12 = a(X167) )
& ( 10 = a(X165) )
& ( 2 = b(X166) )
& ( 7 = a(X166) )
& ( 5 = b(X167) )
& ( X166 != X167 )
& ( X165 != X167 ) )
& ( z4 != z5 )
& ! [X133: $int,X132: $int,X131: $int] :
~ ( $less(X133,X131)
& ( X131 != X133 )
& ( X132 != X133 )
& ( X131 != X132 )
& ( 5 = b(X131) )
& ( 2 = b(X132) )
& $less(b(X133),3)
& ( 10 = a(X133) )
& ( 7 = a(X132) )
& ( 1 = a(X131) ) )
& ! [X244: $int,X246: $int,X245: $int,X243: $int] :
~ ( ( 10 = a(X244) )
& ( 5 = a(X246) )
& $less(X244,X246)
& $less(b(X244),3)
& ( 2 = b(X243) )
& ( X244 != X245 )
& ( X245 != X246 )
& ( X243 != X244 )
& ( X243 != X245 )
& ( X244 != X246 )
& ( X243 != X246 )
& ( 8 = a(X245) ) )
& ! [X203: $int,X201: $int,X202: $int] :
~ ( ( 2 = b(X202) )
& ( 8 = a(X203) )
& ( X201 != X203 )
& ( X202 != X203 )
& ( 10 = a(X202) )
& ( X201 != X202 )
& ( 4 = a(X201) )
& $less(X202,X201) )
& ! [X48: $int,X47: $int,X46: $int] :
~ ( ( X46 != X47 )
& ( 10 = a(X46) )
& ( 5 = b(X47) )
& ( 2 = b(X46) )
& ( X46 != X48 )
& ( X47 != X48 )
& ( 5 = a(X48) )
& ( 12 = a(X47) )
& $less(X46,X47) )
& ! [X98: $int,X99: $int,X97: $int] :
~ ( $less(b(X97),3)
& ( 10 = a(X97) )
& ( X98 != X99 )
& ( X97 != X98 )
& ( X97 != X99 )
& $less(X97,X98)
& ( 8 = a(X99) )
& ( 7 = a(X98) ) )
& ! [X32: $int,X31: $int,X30: $int] :
~ ( ( 5 = b(X31) )
& ( 1 = a(X31) )
& ( X31 != X32 )
& ( 6 = a(X32) )
& ( X30 != X32 )
& ( 2 = b(X30) )
& $less(X30,X31)
& ( X30 != X31 )
& ( 10 = a(X30) ) )
& ! [X199: $int,X198: $int,X200: $int] :
~ ( $less(X200,X198)
& ( 10 = a(X200) )
& ( X199 != X200 )
& ( 6 = a(X198) )
& ( 5 = b(X198) )
& ( 4 = a(X199) )
& ( X198 != X200 )
& ( 2 = b(X200) )
& ( X198 != X199 ) )
& ! [X185: $int,X187: $int,X184: $int,X186: $int] :
~ ( ( X184 != X185 )
& ( X184 != X187 )
& ( X185 != X187 )
& ( 5 = a(X187) )
& ( X186 != X187 )
& ( 2 = b(X186) )
& ( X184 != X186 )
& $less(b(X185),3)
& $less(X185,X184)
& ( 5 = b(X184) )
& ( 7 = a(X184) )
& ( 10 = a(X185) )
& ( X185 != X186 ) )
& ! [X6: $int,X3: $int,X4: $int,X5: $int] :
~ ( ( X3 != X5 )
& $less(X5,X4)
& $less(b(X3),4)
& ( 7 = a(X3) )
& ( X3 != X4 )
& ( X4 != X6 )
& ( 5 = b(X6) )
& ( 2 = b(X5) )
& ( X4 != X5 )
& ( 12 = a(X4) )
& ( 10 = a(X5) )
& ( X5 != X6 )
& ( X3 != X6 ) )
& ! [X207: $int,X209: $int,X208: $int] :
~ ( ( 7 = a(X208) )
& ( 10 = a(X207) )
& ( 5 = b(X209) )
& ( X207 != X209 )
& ( X207 != X208 )
& ( X208 != X209 )
& $less(b(X207),3)
& $less(X207,X208) )
& ( z1 != z2 )
& ! [X250: $int,X252: $int,X251: $int,X253: $int] :
~ ( ( X252 != X253 )
& ( 10 = a(X253) )
& ( 2 = b(X250) )
& ( X250 != X251 )
& ( 7 = a(X252) )
& ( 5 = a(X251) )
& ( X251 != X253 )
& ( X250 != X252 )
& ( 5 = b(X251) )
& $less(X253,X251)
& ( X251 != X252 )
& $less(b(X253),3)
& ( X250 != X253 ) )
& ! [X24: $int,X25: $int,X22: $int,X23: $int] :
~ ( ( X22 != X25 )
& $less(b(X25),3)
& ( 5 = b(X24) )
& ( 2 = b(X22) )
& ( X23 != X25 )
& ( X23 != X24 )
& ( 10 = a(X25) )
& ( 2 = b(X23) )
& ( 5 = a(X23) )
& ( X22 != X23 )
& ( 5 = a(X24) )
& $less(X25,X24)
& ( X24 != X25 )
& ( X22 != X24 ) )
& ! [X229: $int,X227: $int,X228: $int] :
~ ( ( 5 = a(X228) )
& ( X227 != X229 )
& ( X228 != X229 )
& ( 6 = a(X229) )
& ( 5 = b(X229) )
& $less(X227,X229)
& ( 2 = b(X227) )
& ( 10 = a(X227) )
& ( X227 != X228 ) )
& ! [X104: $int] :
( ~ $less(b(X104),1)
& ~ $less(5,b(X104)) )
& ! [X249: $int,X248: $int,X247: $int] :
~ ( ( 2 = a(X248) )
& ( X247 != X249 )
& ( X248 != X249 )
& ( 6 = a(X249) )
& ( 10 = a(X247) )
& ( X247 != X248 )
& ( 2 = b(X247) )
& $less(X247,X248)
& ( 5 = b(X248) ) )
& ! [X232: $int,X230: $int,X233: $int,X231: $int] :
~ ( ( X231 != X232 )
& ( X230 != X233 )
& ( 4 = a(X230) )
& ( 2 = b(X232) )
& ( 7 = a(X232) )
& ( X230 != X231 )
& ( 10 = a(X231) )
& ( X231 != X233 )
& ( 5 = b(X233) )
& $less(b(X231),3)
& ( X232 != X233 )
& $less(X231,X230)
& ( X230 != X232 ) )
& ! [X220: $int,X222: $int,X221: $int] :
~ ( ( 5 = b(X222) )
& ( 10 = a(X221) )
& ( X220 != X222 )
& $less(X221,X222)
& $less(b(X220),4)
& ( 2 = b(X221) )
& ( 12 = a(X222) )
& ( 7 = a(X220) )
& ( X220 != X221 )
& ( X221 != X222 ) )
& ! [X205: $int,X206: $int,X204: $int] :
~ ( ( X204 != X205 )
& ( 6 = a(X204) )
& ( X204 != X206 )
& $less(b(X205),3)
& ( 10 = a(X205) )
& ( 5 = b(X204) )
& $less(X205,X204)
& ( 6 = a(X206) )
& ( X205 != X206 ) )
& ! [X139: $int,X138: $int,X137: $int] :
~ ( ( 4 = a(X139) )
& ( X138 != X139 )
& $less(X137,X138)
& ( X137 != X138 )
& ( 10 = a(X137) )
& ( 5 = b(X138) )
& ( 1 = a(X138) )
& ( 2 = b(X137) )
& ( X137 != X139 ) )
& ! [X59: $int,X57: $int,X58: $int] :
~ ( ( X57 != X58 )
& ( X57 != X59 )
& $less(b(X57),4)
& ( 8 = a(X57) )
& $less(b(X59),4)
& ( 10 = a(X58) )
& ( 3 = a(X59) )
& ( X58 != X59 )
& $less(X58,X59)
& ( 2 = b(X58) ) )
& ! [X175: $int,X173: $int,X174: $int,X176: $int] :
~ ( ( 1 = a(X176) )
& ( X175 != X176 )
& ( 5 = b(X173) )
& ( 2 = b(X174) )
& $less(b(X175),3)
& ( X173 != X174 )
& ( 7 = a(X174) )
& ( X173 != X176 )
& ( X174 != X176 )
& ( 10 = a(X175) )
& ( X173 != X175 )
& $less(X175,X176)
& ( X174 != X175 ) )
& ! [X29: $int,X27: $int,X26: $int,X28: $int] :
~ ( ( X26 != X28 )
& $less(b(X28),3)
& ( 10 = a(X28) )
& ( 5 = b(X29) )
& ( X26 != X29 )
& ( X28 != X29 )
& ( 6 = a(X27) )
& ( 2 = b(X26) )
& $less(X28,X29)
& ( X27 != X29 )
& ( X26 != X27 )
& ( 5 = a(X29) )
& ( X27 != X28 ) )
& ! [X103: $int,X102: $int,X100: $int,X101: $int] :
~ ( ( X100 != X103 )
& $less(X102,X103)
& $less(b(X102),3)
& ( X100 != X102 )
& ( 5 = b(X103) )
& ( 5 = a(X100) )
& ( X101 != X103 )
& ( X101 != X102 )
& ( 2 = a(X101) )
& ( X100 != X101 )
& ( 10 = a(X102) )
& ( 7 = a(X103) )
& ( X102 != X103 ) )
& ! [X80: $int,X78: $int,X79: $int] :
~ ( $less(b(X79),4)
& $less(X80,X78)
& ( X78 != X80 )
& ( X79 != X80 )
& ( X78 != X79 )
& ( 10 = a(X80) )
& ( 2 = a(X78) )
& ( 2 = b(X80) )
& ( 8 = a(X79) ) )
& ! [X76: $int,X74: $int,X75: $int,X77: $int] :
~ ( ( 2 = a(X76) )
& ( X75 != X76 )
& ( X74 != X75 )
& ( X74 != X76 )
& ( 5 = b(X74) )
& ( 10 = a(X77) )
& $less(b(X77),3)
& ( 7 = a(X75) )
& ( X75 != X77 )
& ( X74 != X77 )
& ( X76 != X77 )
& ( 2 = b(X75) )
& $less(X77,X76) )
& ! [X193: $int,X194: $int,X192: $int,X191: $int] :
~ ( ( 7 = a(X191) )
& ( 2 = b(X193) )
& ( X191 != X193 )
& $less(b(X191),4)
& ( X191 != X194 )
& ( 2 = a(X192) )
& ( X192 != X194 )
& ( X192 != X193 )
& ( 5 = b(X194) )
& ( X193 != X194 )
& ( X191 != X192 )
& $less(X193,X192)
& ( 10 = a(X193) ) )
& ( z2 != z3 )
& ! [X161: $int,X164: $int,X163: $int,X162: $int] :
~ ( ( X161 != X162 )
& ( 8 = a(X162) )
& ( X161 != X164 )
& $less(X161,X163)
& ( X161 != X163 )
& ( X162 != X163 )
& ( X162 != X164 )
& ( 2 = b(X164) )
& ( 4 = a(X163) )
& $less(b(X161),3)
& ( X163 != X164 )
& ( 10 = a(X161) ) )
& ! [X83: $int,X82: $int,X81: $int] :
~ ( ( 6 = a(X83) )
& ( X82 != X83 )
& ( 10 = a(X82) )
& ( X81 != X82 )
& $less(X82,X81)
& ( X81 != X83 )
& ( 5 = b(X81) )
& ( 2 = b(X82) )
& ( 12 = a(X81) ) )
& ! [X256: $int,X254: $int,X255: $int] :
~ ( ( X255 != X256 )
& ( X254 != X255 )
& ( 2 = b(X254) )
& ( X254 != X256 )
& ( 5 = b(X256) )
& ( 10 = a(X254) )
& ( 5 = a(X256) )
& $less(X254,X256)
& ( 7 = a(X255) ) )
& ! [X146: $int,X147: $int] :
~ ( ( 10 = a(X146) )
& ( X146 != X147 )
& ( 10 = a(X147) ) )
& ! [X212: $int,X211: $int,X210: $int] :
~ ( ( 5 = b(X210) )
& ( X211 != X212 )
& ( X210 != X212 )
& $less(b(X212),3)
& ( X210 != X211 )
& ( 5 = a(X210) )
& ( 7 = a(X211) )
& ( 10 = a(X212) )
& ( 2 = b(X211) )
& $less(X212,X210) )
& ! [X116: $int,X115: $int,X114: $int] :
~ ( ( X114 != X115 )
& ( 7 = a(X114) )
& $less(b(X115),3)
& ( 10 = a(X115) )
& $less(X115,X116)
& ( 2 = b(X114) )
& ( 5 = b(X116) )
& ( X114 != X116 )
& ( X115 != X116 )
& ( 4 = a(X116) ) )
& ! [X142: $int,X141: $int,X140: $int] :
~ ( ( 10 = a(X141) )
& ( 5 = b(X142) )
& ( X140 != X142 )
& ( 2 = b(X141) )
& $less(X141,X142)
& ( 6 = a(X140) )
& ( X141 != X142 )
& ( 4 = a(X142) )
& ( X140 != X141 ) )
& ! [X7: $int,X8: $int,X9: $int] :
~ ( ( 4 = a(X8) )
& ( 2 = b(X7) )
& ( X7 != X9 )
& $less(X7,X8)
& ( 10 = a(X7) )
& ( 7 = a(X9) )
& ( 5 = b(X8) )
& ( X7 != X8 )
& ( X8 != X9 ) )
& ! [X39: $int,X40: $int,X41: $int] :
~ ( ( X40 != X41 )
& ( 5 = b(X41) )
& ( 10 = a(X39) )
& ( 5 = a(X40) )
& ( X39 != X41 )
& ( 2 = b(X39) )
& ( 7 = a(X41) )
& $less(X39,X41)
& ( X39 != X40 ) )
& ( z3 != z4 )
& ( z2 != z5 )
& ! [X224: $int,X226: $int,X223: $int,X225: $int] :
~ ( ( X225 != X226 )
& ( 10 = a(X223) )
& $less(X223,X225)
& ( 2 = b(X226) )
& ( X224 != X225 )
& ( X223 != X226 )
& $less(b(X225),4)
& ( 7 = a(X226) )
& $less(b(X223),3)
& ( X223 != X224 )
& ( 3 = a(X225) )
& ( X224 != X226 )
& ( 5 = b(X224) )
& ( X223 != X225 ) ) )
=> ~ ( ( 2 = b(z4) )
& $less(z2,z1)
& ( 10 = a(z4) )
& ( 10 = a(z2) )
& $less(b(z2),3)
& ( 5 = a(z3) )
& ( 5 = b(z1) )
& ( 7 = a(z1) ) ) ),
inference(true_and_false_elimination,[],[f16]) ).
tff(f16,plain,
~ ( ( ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 8 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(b(X1),4)
& ( a(X0) = 10 )
& ( X0 != X2 )
& ( 12 = a(X2) )
& ( b(X0) = 2 )
& $less(X0,X2) )
& ! [X6: $int,X3: $int,X4: $int,X5: $int] :
~ ( ( X3 != X5 )
& $less(X5,X4)
& $less(b(X3),4)
& ( 7 = a(X3) )
& ( X3 != X4 )
& ( X4 != X6 )
& ( 5 = b(X6) )
& ( 2 = b(X5) )
& ( X4 != X5 )
& ( 12 = a(X4) )
& ( 10 = a(X5) )
& ( X5 != X6 )
& ( X3 != X6 ) )
& ! [X7: $int,X8: $int,X9: $int] :
~ ( ( 4 = a(X8) )
& ( 2 = b(X7) )
& ( X7 != X9 )
& $less(X7,X8)
& ( 10 = a(X7) )
& ( 7 = a(X9) )
& ( 5 = b(X8) )
& ( X7 != X8 )
& ( X8 != X9 ) )
& ! [X12: $int,X10: $int,X11: $int] :
~ ( ( 10 = a(X12) )
& ( X10 != X11 )
& ( X11 != X12 )
& ( 4 = a(X10) )
& ( 7 = a(X11) )
& ( 5 = b(X11) )
& ( 2 = b(X12) )
& $less(X12,X11)
& ( X10 != X12 ) )
& ! [X13: $int,X15: $int,X14: $int] :
~ ( ( X13 != X14 )
& ( 7 = a(X15) )
& ( 2 = b(X15) )
& ( 10 = a(X14) )
& ( 2 = a(X13) )
& ( X14 != X15 )
& ( X13 != X15 )
& $less(X14,X13)
& $less(b(X14),3)
& ( 5 = b(X13) ) )
& ! [X18: $int,X16: $int,X17: $int] :
~ ( ( 2 = b(X16) )
& ( 10 = a(X16) )
& ( 5 = b(X17) )
& ( 4 = a(X18) )
& ( X17 != X18 )
& ( 4 = a(X17) )
& ( X16 != X17 )
& $less(X16,X17)
& ( X16 != X18 ) )
& ! [X19: $int,X21: $int,X20: $int] :
~ ( ( X20 != X21 )
& ( 5 = b(X20) )
& ( 6 = a(X20) )
& ( X19 != X21 )
& ( X19 != X20 )
& $less(X19,X20)
& ( 7 = a(X21) )
& ( 10 = a(X19) )
& $less(b(X19),3) )
& ( z1 != z5 )
& ! [X24: $int,X25: $int,X22: $int,X23: $int] :
~ ( ( X22 != X25 )
& $less(b(X25),3)
& ( 5 = b(X24) )
& ( 2 = b(X22) )
& ( X23 != X25 )
& ( X23 != X24 )
& ( 10 = a(X25) )
& ( 2 = b(X23) )
& ( 5 = a(X23) )
& ( X22 != X23 )
& ( 5 = a(X24) )
& $less(X25,X24)
& ( X24 != X25 )
& ( X22 != X24 ) )
& ! [X29: $int,X27: $int,X26: $int,X28: $int] :
~ ( ( X26 != X28 )
& $less(b(X28),3)
& ( 10 = a(X28) )
& ( 5 = b(X29) )
& ( X26 != X29 )
& ( X28 != X29 )
& ( 6 = a(X27) )
& ( 2 = b(X26) )
& $less(X28,X29)
& ( X27 != X29 )
& ( X26 != X27 )
& ( 5 = a(X29) )
& ( X27 != X28 ) )
& ! [X32: $int,X31: $int,X30: $int] :
~ ( ( 5 = b(X31) )
& ( 1 = a(X31) )
& ( X31 != X32 )
& ( 6 = a(X32) )
& ( X30 != X32 )
& ( 2 = b(X30) )
& $less(X30,X31)
& ( X30 != X31 )
& ( 10 = a(X30) ) )
& ! [X34: $int,X33: $int,X35: $int] :
~ ( ( X33 != X35 )
& ( X34 != X35 )
& $less(X33,X34)
& ( X33 != X34 )
& ( 5 = b(X34) )
& ( 10 = a(X33) )
& ( 5 = a(X35) )
& ( 2 = b(X33) )
& ( 5 = a(X34) ) )
& ! [X38: $int,X37: $int,X36: $int] :
~ ( ( 6 = a(X37) )
& ( 5 = b(X38) )
& ( X36 != X37 )
& ( X36 != X38 )
& ( 10 = a(X36) )
& $less(X36,X37)
& $less(b(X36),3)
& ( X37 != X38 ) )
& ! [X39: $int,X40: $int,X41: $int] :
~ ( ( X40 != X41 )
& ( 5 = b(X41) )
& ( 10 = a(X39) )
& ( 5 = a(X40) )
& ( X39 != X41 )
& ( 2 = b(X39) )
& ( 7 = a(X41) )
& $less(X39,X41)
& ( X39 != X40 ) )
& ! [X44: $int,X43: $int,X42: $int,X45: $int] :
~ ( $less(X44,X45)
& ( 2 = a(X42) )
& $less(b(X44),3)
& ( X42 != X43 )
& ( 10 = a(X44) )
& ( 5 = a(X45) )
& ( X44 != X45 )
& ( X43 != X44 )
& ( 8 = a(X43) )
& ( X42 != X44 )
& ( X42 != X45 )
& ( X43 != X45 ) )
& ! [X48: $int,X47: $int,X46: $int] :
~ ( ( X46 != X47 )
& ( 10 = a(X46) )
& ( 5 = b(X47) )
& ( 2 = b(X46) )
& ( X46 != X48 )
& ( X47 != X48 )
& ( 5 = a(X48) )
& ( 12 = a(X47) )
& $less(X46,X47) )
& ! [X49: $int,X50: $int,X51: $int] :
~ ( ( 5 = b(X49) )
& ( X49 != X50 )
& $less(X50,X51)
& ( 10 = a(X50) )
& ( 2 = b(X50) )
& ( X50 != X51 )
& ( X49 != X51 )
& ( 4 = a(X51) ) )
& ! [X53: $int,X54: $int,X52: $int] :
~ ( ( X53 != X54 )
& ( 4 = a(X53) )
& ( 8 = a(X54) )
& $less(X52,X53)
& ( 2 = b(X54) )
& ( X52 != X53 )
& $less(b(X52),3)
& ( X52 != X54 )
& ( 10 = a(X52) ) )
& ! [X55: $int,X56: $int] :
~ ( ( 10 = a(X55) )
& ( 8 = a(X56) )
& $less(X55,X56)
& ( X55 != X56 )
& $less(b(X55),3) )
& ! [X59: $int,X57: $int,X58: $int] :
~ ( ( X57 != X58 )
& ( X57 != X59 )
& $less(b(X57),4)
& ( 8 = a(X57) )
& $less(b(X59),4)
& ( 10 = a(X58) )
& ( 3 = a(X59) )
& ( X58 != X59 )
& $less(X58,X59)
& ( 2 = b(X58) ) )
& ! [X62: $int,X61: $int,X63: $int,X60: $int] :
~ ( ( X61 != X62 )
& ( 5 = b(X62) )
& ( X60 != X61 )
& ( X60 != X63 )
& $less(X60,X63)
& ( 10 = a(X60) )
& $less(b(X60),3)
& ( X62 != X63 )
& ( 5 = a(X63) )
& ( X61 != X63 )
& ( X60 != X62 )
& ( 1 = a(X61) ) )
& ( z3 != z5 )
& ! [X66: $int,X65: $int,X64: $int] :
~ ( $less(X66,X64)
& ( 10 = a(X66) )
& ( X64 != X65 )
& ( 8 = a(X65) )
& ( X64 != X66 )
& ( 1 = a(X64) )
& ( X65 != X66 )
& ( 2 = b(X66) )
& $less(b(X65),4) )
& ( z2 != z3 )
& ( z4 != z5 )
& ! [X69: $int,X67: $int,X68: $int] :
~ ( $less(b(X68),3)
& $less(X68,X67)
& ( 10 = a(X68) )
& ( X67 != X69 )
& ( X67 != X68 )
& ( 2 = b(X69) )
& ( 2 = a(X67) )
& ( 8 = a(X69) )
& ( X68 != X69 ) )
& ( z1 != z3 )
& ! [X72: $int,X71: $int,X73: $int,X70: $int] :
~ ( ( X72 != X73 )
& ( 5 = b(X72) )
& $less(b(X73),4)
& ( X70 != X71 )
& ( 2 = b(X70) )
& ( X70 != X73 )
& ( X71 != X73 )
& ( X70 != X72 )
& ( 1 = a(X71) )
& $less(X70,X71)
& ( 7 = a(X73) )
& ( 10 = a(X70) )
& ( X71 != X72 ) )
& ! [X76: $int,X74: $int,X75: $int,X77: $int] :
~ ( ( 2 = a(X76) )
& ( X75 != X76 )
& ( X74 != X75 )
& ( X74 != X76 )
& ( 5 = b(X74) )
& ( 10 = a(X77) )
& $less(b(X77),3)
& ( 7 = a(X75) )
& ( X75 != X77 )
& ( X74 != X77 )
& ( X76 != X77 )
& ( 2 = b(X75) )
& $less(X77,X76) )
& ! [X80: $int,X78: $int,X79: $int] :
~ ( $less(b(X79),4)
& $less(X80,X78)
& ( X78 != X80 )
& ( X79 != X80 )
& ( X78 != X79 )
& ( 10 = a(X80) )
& ( 2 = a(X78) )
& ( 2 = b(X80) )
& ( 8 = a(X79) ) )
& ! [X83: $int,X82: $int,X81: $int] :
~ ( ( 6 = a(X83) )
& ( X82 != X83 )
& ( 10 = a(X82) )
& ( X81 != X82 )
& $less(X82,X81)
& ( X81 != X83 )
& ( 5 = b(X81) )
& ( 2 = b(X82) )
& ( 12 = a(X81) ) )
& ! [X84: $int,X86: $int,X85: $int] :
~ ( ( 2 = b(X86) )
& ( 10 = a(X86) )
& ( X84 != X85 )
& ( X84 != X86 )
& $less(X86,X85)
& ( X85 != X86 )
& ( 8 = a(X84) )
& ( 5 = a(X85) ) )
& ! [X89: $int,X90: $int,X88: $int,X87: $int] :
~ ( ( X89 != X90 )
& ( X88 != X90 )
& $less(X90,X89)
& ( X87 != X88 )
& ( X88 != X89 )
& ( 2 = a(X87) )
& ( 5 = b(X88) )
& ( 10 = a(X90) )
& ( X87 != X89 )
& ( 5 = a(X89) )
& ( X87 != X90 )
& $less(b(X90),3) )
& ! [X93: $int,X91: $int,X92: $int] :
~ ( ( 2 = b(X92) )
& ( 1 = a(X93) )
& ( X91 != X93 )
& ( 10 = a(X92) )
& $less(b(X91),4)
& ( X92 != X93 )
& ( 5 = b(X93) )
& ( 7 = a(X91) )
& $less(X92,X93)
& ( X91 != X92 ) )
& ! [X94: $int,X95: $int,X96: $int] :
~ ( ( X95 != X96 )
& ( X94 != X95 )
& $less(X96,X95)
& $less(b(X96),3)
& ( 1 = a(X95) )
& ( 8 = a(X94) )
& ( 10 = a(X96) )
& ( 2 = b(X94) )
& ( X94 != X96 ) )
& ! [X98: $int,X99: $int,X97: $int] :
~ ( $less(b(X97),3)
& ( 10 = a(X97) )
& ( X98 != X99 )
& ( X97 != X98 )
& ( X97 != X99 )
& $less(X97,X98)
& ( 8 = a(X99) )
& ( 7 = a(X98) ) )
& ! [X103: $int,X102: $int,X100: $int,X101: $int] :
~ ( ( X100 != X103 )
& $less(X102,X103)
& $less(b(X102),3)
& ( X100 != X102 )
& ( 5 = b(X103) )
& ( 5 = a(X100) )
& ( X101 != X103 )
& ( X101 != X102 )
& ( 2 = a(X101) )
& ( X100 != X101 )
& ( 10 = a(X102) )
& ( 7 = a(X103) )
& ( X102 != X103 ) )
& ! [X104: $int] :
( ~ $less(b(X104),1)
& ~ $less(5,b(X104)) )
& ! [X105: $int,X106: $int,X107: $int] :
~ ( ( 6 = a(X105) )
& ( 8 = a(X106) )
& ( X105 != X106 )
& ( X105 != X107 )
& ( X106 != X107 )
& $less(X107,X105)
& $less(b(X107),3)
& ( 10 = a(X107) ) )
& ! [X109: $int,X110: $int,X108: $int] :
~ ( $less(X109,X108)
& $less(b(X110),4)
& ( 2 = a(X108) )
& ( 5 = b(X108) )
& ( X108 != X109 )
& ( 7 = a(X110) )
& ( 2 = b(X109) )
& ( X108 != X110 )
& ( 10 = a(X109) )
& ( X109 != X110 ) )
& ! [X113: $int,X112: $int,X111: $int] :
~ ( ( 10 = a(X113) )
& ( X111 != X113 )
& $less(X113,X112)
& ( 1 = a(X112) )
& ( X112 != X113 )
& ( 2 = b(X113) )
& ( 5 = a(X111) )
& ( 5 = b(X112) )
& ( X111 != X112 ) )
& ! [X116: $int,X115: $int,X114: $int] :
~ ( ( X114 != X115 )
& ( 7 = a(X114) )
& $less(b(X115),3)
& ( 10 = a(X115) )
& $less(X115,X116)
& ( 2 = b(X114) )
& ( 5 = b(X116) )
& ( X114 != X116 )
& ( X115 != X116 )
& ( 4 = a(X116) ) )
& ! [X117: $int,X119: $int,X118: $int] :
~ ( ( X117 != X119 )
& ( 2 = a(X117) )
& ( X118 != X119 )
& ( 2 = b(X118) )
& ( 5 = b(X117) )
& ( 10 = a(X118) )
& ( 4 = a(X119) )
& ( X117 != X118 )
& $less(X118,X117) )
& ! [X122: $int,X121: $int,X120: $int] :
~ ( ( 12 = a(X122) )
& ( 2 = b(X120) )
& ( X120 != X122 )
& ( X120 != X121 )
& ( X121 != X122 )
& ( 8 = a(X120) )
& $less(b(X121),3)
& ( 10 = a(X121) )
& $less(X121,X122) )
& ! [X126: $int,X125: $int,X123: $int,X124: $int] :
~ ( $less(X123,X125)
& ( 10 = a(X123) )
& ( X123 != X125 )
& ( X124 != X126 )
& ( 5 = b(X124) )
& ( X124 != X125 )
& ( X123 != X126 )
& ( 7 = a(X126) )
& ( X125 != X126 )
& ( 12 = a(X125) )
& ( X123 != X124 )
& $less(b(X123),3)
& ( 2 = b(X126) ) )
& ! [X128: $int,X129: $int,X127: $int,X130: $int] :
~ ( $less(b(X130),3)
& ( X128 != X129 )
& ( 5 = b(X129) )
& ( 10 = a(X130) )
& ( X127 != X129 )
& ( X127 != X128 )
& ( X128 != X130 )
& $less(X130,X129)
& ( 5 = a(X127) )
& ( 6 = a(X129) )
& ( X129 != X130 )
& ( 2 = b(X128) )
& ( X127 != X130 ) )
& ( z1 != z4 )
& ! [X133: $int,X132: $int,X131: $int] :
~ ( $less(X133,X131)
& ( X131 != X133 )
& ( X132 != X133 )
& ( X131 != X132 )
& ( 5 = b(X131) )
& ( 2 = b(X132) )
& $less(b(X133),3)
& ( 10 = a(X133) )
& ( 7 = a(X132) )
& ( 1 = a(X131) ) )
& ! [X135: $int,X134: $int,X136: $int] :
~ ( $less(b(X134),3)
& ( 5 = b(X136) )
& ( 6 = a(X135) )
& $less(X134,X136)
& ( 10 = a(X134) )
& ( X134 != X135 )
& ( 7 = a(X136) )
& ( X134 != X136 )
& ( X135 != X136 ) )
& ! [X139: $int,X138: $int,X137: $int] :
~ ( ( 4 = a(X139) )
& ( X138 != X139 )
& $less(X137,X138)
& ( X137 != X138 )
& ( 10 = a(X137) )
& ( 5 = b(X138) )
& ( 1 = a(X138) )
& ( 2 = b(X137) )
& ( X137 != X139 ) )
& ! [X142: $int,X141: $int,X140: $int] :
~ ( ( 10 = a(X141) )
& ( 5 = b(X142) )
& ( X140 != X142 )
& ( 2 = b(X141) )
& $less(X141,X142)
& ( 6 = a(X140) )
& ( X141 != X142 )
& ( 4 = a(X142) )
& ( X140 != X141 ) )
& ( z2 != z4 )
& ( z2 != z5 )
& ! [X145: $int,X144: $int,X143: $int] :
~ ( ( 7 = a(X143) )
& $less(b(X145),3)
& ( 10 = a(X145) )
& ( X144 != X145 )
& ( X143 != X144 )
& ( X143 != X145 )
& $less(X145,X144)
& ( 7 = a(X144) )
& ( 5 = b(X144) ) )
& ! [X146: $int,X147: $int] :
~ ( ( 10 = a(X146) )
& ( X146 != X147 )
& ( 10 = a(X147) ) )
& ( z1 != z2 )
& ! [X148: $int,X149: $int,X150: $int] :
~ ( ( X148 != X150 )
& ( X149 != X150 )
& ( X148 != X149 )
& ( 5 = b(X149) )
& ( 2 = b(X148) )
& ( 5 = a(X150) )
& ( 10 = a(X148) )
& $less(X148,X149)
& ( 2 = a(X149) ) )
& ! [X153: $int,X152: $int,X151: $int] :
~ ( ( 2 = b(X151) )
& ( X152 != X153 )
& ( 5 = b(X153) )
& ( X151 != X152 )
& ( X151 != X153 )
& ( 4 = a(X152) )
& ( 10 = a(X151) )
& $less(X151,X153)
& ( 12 = a(X153) ) )
& ! [X154: $int,X155: $int,X156: $int] :
~ ( ( 5 = a(X154) )
& ( X155 != X156 )
& ( 10 = a(X156) )
& $less(X156,X154)
& ( X154 != X155 )
& ( X154 != X156 )
& ( 2 = b(X156) )
& ( 5 = b(X155) ) )
& ! [X158: $int,X157: $int,X160: $int,X159: $int] :
~ ( ( X157 != X158 )
& ( 10 = a(X159) )
& ( 4 = a(X160) )
& ( X158 != X159 )
& $less(b(X159),3)
& ( X157 != X160 )
& ( 2 = a(X157) )
& $less(X159,X160)
& ( 5 = b(X158) )
& ( X159 != X160 )
& ( X158 != X160 )
& ( X157 != X159 ) )
& ! [X161: $int,X164: $int,X163: $int,X162: $int] :
~ ( ( X161 != X162 )
& ( 8 = a(X162) )
& ( X161 != X164 )
& $less(X161,X163)
& ( X161 != X163 )
& ( X162 != X163 )
& ( X162 != X164 )
& ( 2 = b(X164) )
& ( 4 = a(X163) )
& $less(b(X161),3)
& ( X163 != X164 )
& ( 10 = a(X161) ) )
& ! [X165: $int,X166: $int,X167: $int] :
~ ( $less(X165,X167)
& ( X165 != X166 )
& $less(b(X165),3)
& ( 12 = a(X167) )
& ( 10 = a(X165) )
& ( 2 = b(X166) )
& ( 7 = a(X166) )
& ( 5 = b(X167) )
& ( X166 != X167 )
& ( X165 != X167 ) )
& ! [X169: $int,X170: $int,X168: $int] :
~ ( $less(X170,X169)
& ( X169 != X170 )
& ( X168 != X169 )
& ( 6 = a(X168) )
& ( 2 = b(X170) )
& ( 10 = a(X170) )
& ( X168 != X170 )
& ( 5 = b(X169) )
& ( 5 = a(X169) ) )
& ! [X171: $int,X172: $int] :
~ ( ( X171 != X172 )
& ( 10 = a(X172) )
& $less(X172,X171)
& $less(b(X172),3)
& ( 9 = a(X171) ) )
& ! [X175: $int,X173: $int,X174: $int,X176: $int] :
~ ( ( 1 = a(X176) )
& ( X175 != X176 )
& ( 5 = b(X173) )
& ( 2 = b(X174) )
& $less(b(X175),3)
& ( X173 != X174 )
& ( 7 = a(X174) )
& ( X173 != X176 )
& ( X174 != X176 )
& ( 10 = a(X175) )
& ( X173 != X175 )
& $less(X175,X176)
& ( X174 != X175 ) )
& ! [X178: $int,X179: $int,X177: $int] :
~ ( ( X177 != X179 )
& ( 6 = a(X178) )
& ( 10 = a(X179) )
& ( 2 = b(X178) )
& ( X177 != X178 )
& ( 5 = b(X177) )
& $less(X179,X177)
& $less(b(X179),3)
& ( X178 != X179 )
& ( 5 = a(X177) ) )
& ! [X183: $int,X181: $int,X180: $int,X182: $int] :
~ ( ( X181 != X182 )
& ( X181 != X183 )
& $less(X181,X182)
& ( X180 != X181 )
& ( 10 = a(X181) )
& ( 4 = a(X183) )
& $less(b(X181),3)
& ( X180 != X182 )
& ( 7 = a(X182) )
& ( 2 = b(X180) )
& ( X182 != X183 )
& ( 5 = b(X182) )
& ( X180 != X183 ) )
& ( z3 != z4 )
& ! [X185: $int,X187: $int,X184: $int,X186: $int] :
~ ( ( X184 != X185 )
& ( X184 != X187 )
& ( X185 != X187 )
& ( 5 = a(X187) )
& ( X186 != X187 )
& ( 2 = b(X186) )
& ( X184 != X186 )
& $less(b(X185),3)
& $less(X185,X184)
& ( 5 = b(X184) )
& ( 7 = a(X184) )
& ( 10 = a(X185) )
& ( X185 != X186 ) )
& ! [X189: $int,X190: $int,X188: $int] :
~ ( ( 8 = a(X188) )
& $less(b(X189),3)
& ( X189 != X190 )
& ( X188 != X189 )
& ( 3 = a(X190) )
& $less(b(X190),4)
& ( X188 != X190 )
& ( 10 = a(X189) )
& $less(X189,X190)
& ( 2 = b(X188) ) )
& ! [X193: $int,X194: $int,X192: $int,X191: $int] :
~ ( ( 7 = a(X191) )
& ( 2 = b(X193) )
& ( X191 != X193 )
& $less(b(X191),4)
& ( X191 != X194 )
& ( 2 = a(X192) )
& ( X192 != X194 )
& ( X192 != X193 )
& ( 5 = b(X194) )
& ( X193 != X194 )
& ( X191 != X192 )
& $less(X193,X192)
& ( 10 = a(X193) ) )
& ! [X195: $int,X196: $int,X197: $int] :
~ ( ( X195 != X196 )
& ( 2 = b(X195) )
& ( 10 = a(X197) )
& ( 5 = a(X196) )
& ( X195 != X197 )
& ( X196 != X197 )
& $less(b(X197),3)
& $less(X197,X196)
& ( 8 = a(X195) ) )
& ! [X199: $int,X198: $int,X200: $int] :
~ ( $less(X200,X198)
& ( 10 = a(X200) )
& ( X199 != X200 )
& ( 6 = a(X198) )
& ( 5 = b(X198) )
& ( 4 = a(X199) )
& ( X198 != X200 )
& ( 2 = b(X200) )
& ( X198 != X199 ) )
& ! [X203: $int,X201: $int,X202: $int] :
~ ( ( 2 = b(X202) )
& ( 8 = a(X203) )
& ( X201 != X203 )
& ( X202 != X203 )
& ( 10 = a(X202) )
& ( X201 != X202 )
& ( 4 = a(X201) )
& $less(X202,X201) )
& ! [X205: $int,X206: $int,X204: $int] :
~ ( ( X204 != X205 )
& ( 6 = a(X204) )
& ( X204 != X206 )
& $less(b(X205),3)
& ( 10 = a(X205) )
& ( 5 = b(X204) )
& $less(X205,X204)
& ( 6 = a(X206) )
& ( X205 != X206 ) )
& ! [X207: $int,X209: $int,X208: $int] :
~ ( ( 7 = a(X208) )
& ( 10 = a(X207) )
& ( 5 = b(X209) )
& ( X207 != X209 )
& ( X207 != X208 )
& ( X208 != X209 )
& $less(b(X207),3)
& $less(X207,X208) )
& ! [X212: $int,X211: $int,X210: $int] :
~ ( ( 5 = b(X210) )
& ( X211 != X212 )
& ( X210 != X212 )
& $less(b(X212),3)
& ( X210 != X211 )
& ( 5 = a(X210) )
& ( 7 = a(X211) )
& ( 10 = a(X212) )
& ( 2 = b(X211) )
& $less(X212,X210) )
& ! [X213: $int,X214: $int,X215: $int] :
~ ( ( 10 = a(X213) )
& ( 2 = b(X213) )
& ( X213 != X215 )
& ( X213 != X214 )
& ( 5 = a(X215) )
& $less(X213,X214)
& ( 5 = b(X214) )
& ( X214 != X215 )
& ( 4 = a(X214) ) )
& ! [X216: $int,X217: $int,X218: $int,X219: $int] :
~ ( ( X216 != X218 )
& ( 2 = b(X216) )
& ( X218 != X219 )
& $less(b(X218),4)
& ( 5 = b(X219) )
& ( 7 = a(X217) )
& $less(X216,X218)
& $less(b(X217),4)
& ( 10 = a(X216) )
& ( X217 != X219 )
& ( X216 != X217 )
& ( 3 = a(X218) )
& ( X217 != X218 )
& ( X216 != X219 ) )
& ! [X220: $int,X222: $int,X221: $int] :
~ ( ( 5 = b(X222) )
& ( 10 = a(X221) )
& ( X220 != X222 )
& $less(X221,X222)
& $less(b(X220),4)
& ( 2 = b(X221) )
& ( 12 = a(X222) )
& ( 7 = a(X220) )
& ( X220 != X221 )
& ( X221 != X222 ) )
& ! [X224: $int,X226: $int,X223: $int,X225: $int] :
~ ( ( X225 != X226 )
& ( 10 = a(X223) )
& $less(X223,X225)
& ( 2 = b(X226) )
& ( X224 != X225 )
& ( X223 != X226 )
& $less(b(X225),4)
& ( 7 = a(X226) )
& $less(b(X223),3)
& ( X223 != X224 )
& ( 3 = a(X225) )
& ( X224 != X226 )
& ( 5 = b(X224) )
& ( X223 != X225 ) )
& $true
& ! [X229: $int,X227: $int,X228: $int] :
~ ( ( 5 = a(X228) )
& ( X227 != X229 )
& ( X228 != X229 )
& ( 6 = a(X229) )
& ( 5 = b(X229) )
& $less(X227,X229)
& ( 2 = b(X227) )
& ( 10 = a(X227) )
& ( X227 != X228 ) )
& ! [X232: $int,X230: $int,X233: $int,X231: $int] :
~ ( ( X231 != X232 )
& ( X230 != X233 )
& ( 4 = a(X230) )
& ( 2 = b(X232) )
& ( 7 = a(X232) )
& ( X230 != X231 )
& ( 10 = a(X231) )
& ( X231 != X233 )
& ( 5 = b(X233) )
& $less(b(X231),3)
& ( X232 != X233 )
& $less(X231,X230)
& ( X230 != X232 ) )
& ! [X236: $int,X234: $int,X237: $int,X235: $int] :
~ ( ( X235 != X236 )
& ( X234 != X237 )
& $less(b(X237),3)
& $less(X237,X236)
& ( 5 = b(X235) )
& ( X234 != X236 )
& ( X234 != X235 )
& ( 2 = b(X234) )
& ( 10 = a(X237) )
& ( X235 != X237 )
& ( 4 = a(X236) )
& ( X236 != X237 ) )
& ! [X238: $int] :
( ~ $less(a(X238),1)
& ~ $less(12,a(X238)) )
& ! [X242: $int,X240: $int,X239: $int,X241: $int] :
~ ( ( X240 != X241 )
& ( X239 != X240 )
& $less(X240,X242)
& ( X239 != X242 )
& $less(b(X240),3)
& ( 7 = a(X241) )
& ( X241 != X242 )
& ( 2 = a(X239) )
& ( 5 = a(X242) )
& ( 5 = b(X242) )
& ( X240 != X242 )
& ( 10 = a(X240) )
& ( X239 != X241 ) )
& ! [X244: $int,X246: $int,X245: $int,X243: $int] :
~ ( ( 10 = a(X244) )
& ( 5 = a(X246) )
& $less(X244,X246)
& $less(b(X244),3)
& ( 2 = b(X243) )
& ( X244 != X245 )
& ( X245 != X246 )
& ( X243 != X244 )
& ( X243 != X245 )
& ( X244 != X246 )
& ( X243 != X246 )
& ( 8 = a(X245) ) )
& ! [X249: $int,X248: $int,X247: $int] :
~ ( ( 2 = a(X248) )
& ( X247 != X249 )
& ( X248 != X249 )
& ( 6 = a(X249) )
& ( 10 = a(X247) )
& ( X247 != X248 )
& ( 2 = b(X247) )
& $less(X247,X248)
& ( 5 = b(X248) ) )
& ! [X250: $int,X252: $int,X251: $int,X253: $int] :
~ ( ( X252 != X253 )
& ( 10 = a(X253) )
& ( 2 = b(X250) )
& ( X250 != X251 )
& ( 7 = a(X252) )
& ( 5 = a(X251) )
& ( X251 != X253 )
& ( X250 != X252 )
& ( 5 = b(X251) )
& $less(X253,X251)
& ( X251 != X252 )
& $less(b(X253),3)
& ( X250 != X253 ) )
& ! [X256: $int,X254: $int,X255: $int] :
~ ( ( X255 != X256 )
& ( X254 != X255 )
& ( 2 = b(X254) )
& ( X254 != X256 )
& ( 5 = b(X256) )
& ( 10 = a(X254) )
& ( 5 = a(X256) )
& $less(X254,X256)
& ( 7 = a(X255) ) )
& ! [X258: $int,X260: $int,X257: $int,X259: $int] :
~ ( ( X257 != X260 )
& ( X257 != X258 )
& ( 2 = b(X259) )
& $less(b(X260),3)
& ( X259 != X260 )
& ( 5 = b(X257) )
& ( X257 != X259 )
& ( 10 = a(X260) )
& ( X258 != X260 )
& ( 5 = a(X258) )
& ( X258 != X259 )
& $less(X260,X258) )
& ! [X261: $int,X263: $int,X262: $int] :
~ ( ( 5 = a(X262) )
& ( X261 != X263 )
& ( X261 != X262 )
& ( 4 = a(X263) )
& ( 10 = a(X261) )
& $less(X261,X262)
& ( 5 = b(X262) )
& ( 2 = b(X261) )
& ( X262 != X263 ) ) )
=> ~ ( ( 2 = b(z4) )
& $less(z2,z1)
& ( 10 = a(z4) )
& ( 10 = a(z2) )
& $less(b(z2),3)
& ( 5 = a(z3) )
& ( 5 = b(z1) )
& ( 7 = a(z1) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ( ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 12 )
& $less(X1,X0)
& ( 10 = a(X1) )
& ( 8 = a(X2) )
& ( X0 != X2 )
& ( b(X1) = 2 )
& $less(b(X2),4) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( 10 = a(X1) )
& $less(b(X2),4)
& ( 5 = b(X3) )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X3 )
& ( 7 = a(X2) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 7 = a(X2) )
& ( b(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( a(X0) = 4 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X2) = 4 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X0) = 7 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( 7 = a(X2) )
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 2 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( a(X2) = 4 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& $less(b(X1),3)
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( 7 = a(X2) )
& ( X0 != X2 )
& ( a(X0) = 6 ) )
& ( z1 != z5 )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( X1 != X3 )
& ( 10 = a(X1) )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( b(X2) = 2 )
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( 5 = a(X2) )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X2 != X3 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X3 )
& ( 2 = b(X3) )
& ( 6 = a(X2) )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( 1 = a(X0) )
& ( 10 = a(X1) )
& ( X0 != X2 )
& $less(X1,X0)
& ( 6 = a(X2) )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& ( 10 = a(X1) )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X0) = 5 )
& ( 5 = a(X2) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X1 )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( 5 = b(X2) )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( 10 = a(X1) ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& $less(X1,X0)
& ( X2 != X3 )
& ( X0 != X3 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( 2 = a(X3) )
& ( X1 != X3 )
& ( a(X0) = 5 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( 5 = a(X2) )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( 5 = b(X2) )
& ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( a(X0) = 4 )
& ( 8 = a(X2) )
& $less(X1,X0)
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int] :
~ ( ( a(X0) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( 10 = a(X1) ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( a(X0) = 3 )
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& $less(b(X0),4)
& ( X0 != X2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 ) )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( ( X0 != X3 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( 1 = a(X3) )
& ( X1 != X3 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( 5 = b(X2) )
& $less(b(X1),3) )
& ( z3 != z5 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( 8 = a(X2) )
& ( 1 = a(X0) )
& $less(b(X2),4)
& ( 10 = a(X1) )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ( z2 != z3 )
& ( z4 != z5 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( X0 != X2 )
& ( 8 = a(X2) )
& ( b(X2) = 2 ) )
& ( z1 != z3 )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( 5 = b(X3) )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X2 != X3 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& $less(b(X2),4)
& ( X1 != X3 )
& ( X0 != X3 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( 7 = a(X2) )
& ( X0 != X1 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 2 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( 5 = b(X3) ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X0) = 2 )
& $less(b(X2),4)
& ( 8 = a(X2) )
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( 6 = a(X2) ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( 10 = a(X1) )
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( X0 != X2 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& ( X0 != X2 )
& ( 2 = a(X3) )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X1 != X2 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( 1 = a(X0) )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& $less(X1,X0)
& $less(b(X2),4)
& ( X0 != X1 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( 8 = a(X2) )
& ( a(X0) = 7 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X2: $int,X3: $int,X1: $int,X0: $int] :
~ ( ( X0 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X3 )
& ( 2 = a(X3) )
& ( 5 = a(X2) )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( X0 != X1 ) )
& ! [X0: $int] :
( ~ $less(b(X0),1)
& ~ $less(5,b(X0)) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( 8 = a(X2) )
& ( X0 != X2 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X1 )
& ( 10 = a(X1) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( 7 = a(X2) )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( 1 = a(X0) )
& ( X0 != X1 )
& ( 5 = a(X2) )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( 7 = a(X2) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 12 )
& $less(b(X1),3)
& $less(X1,X0)
& ( 8 = a(X2) )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X2 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( 7 = a(X2) )
& $less(b(X1),3)
& ( X2 != X3 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X3 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X1 != X3 )
& ( a(X0) = 12 )
& ( 5 = b(X3) )
& ( X0 != X2 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( X2 != X3 )
& ( X1 != X3 )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( 2 = b(X3) )
& $less(X1,X0)
& $less(b(X1),3)
& ( 5 = a(X2) )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ( z1 != z4 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( 7 = a(X2) ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( 10 = a(X1) )
& ( 6 = a(X2) )
& ( b(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 7 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( 1 = a(X0) )
& ( X0 != X2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( 10 = a(X1) ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( 6 = a(X2) )
& ( b(X0) = 5 )
& ( a(X0) = 4 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X2 ) )
& ( z2 != z4 )
& ( z2 != z5 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 7 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( 7 = a(X2) )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( 10 = a(X1) )
& ( a(X0) = 10 ) )
& ( z1 != z2 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 5 = a(X2) ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( 5 = b(X2) ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( 2 = a(X3) )
& ( 5 = b(X2) )
& $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X2 )
& ( X1 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( X0 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( X2 != X3 )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( 8 = a(X2) )
& ( X0 != X2 )
& $less(b(X1),3) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( X1 != X2 )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( b(X2) = 2 )
& ( X0 != X1 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( 6 = a(X2) ) )
& ! [X0: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( a(X0) = 9 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( 5 = b(X3) )
& ( X0 != X1 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( 7 = a(X2) )
& $less(b(X1),3)
& ( X1 != X3 )
& ( 1 = a(X0) )
& ( X0 != X3 )
& ( 10 = a(X1) )
& ( b(X2) = 2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( 6 = a(X2) )
& ( b(X0) = 5 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X3 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 7 ) )
& ( z3 != z4 )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( X0 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( 10 = a(X1) )
& ( X1 != X3 )
& ( 5 = a(X2) ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& $less(b(X0),4)
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 3 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( 8 = a(X2) )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( X0 != X3 )
& ( a(X0) = 2 )
& ( X1 != X3 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X2 != X3 )
& ( 7 = a(X2) ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( 8 = a(X2) )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( 10 = a(X1) ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X0) = 6 )
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( 10 = a(X1) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( 6 = a(X2) )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( 5 = b(X2) )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 5 = a(X2) )
& ( a(X0) = 4 )
& ( 10 = a(X1) )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( 5 = b(X3) )
& $less(b(X2),4)
& ( X1 != X2 )
& ( X0 != X3 )
& ( 10 = a(X1) )
& ( X2 != X3 )
& ( 7 = a(X2) )
& $less(b(X0),4)
& ( a(X0) = 3 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& ( b(X1) = 2 )
& ( X0 != X1 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 12 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( 10 = a(X1) )
& $less(b(X0),4)
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 3 )
& $less(b(X1),3)
& ( 5 = b(X3) )
& ( X1 != X3 )
& ( X0 != X1 )
& ( 7 = a(X2) )
& ( X2 != X3 )
& ( b(X2) = 2 )
& ( X1 != X2 ) )
& $true
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 6 )
& ( b(X1) = 2 )
& ( 5 = a(X2) )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X2 )
& ( 7 = a(X2) )
& ( b(X2) = 2 )
& ( X2 != X3 )
& ( X0 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( 5 = b(X3) )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( 10 = a(X1) ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X3 )
& $less(X1,X0)
& ( 5 = b(X2) )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( X2 != X3 )
& ( a(X0) = 4 ) )
& ! [X0: $int] :
( ~ $less(a(X0),1)
& ~ $less(12,a(X0)) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X0 != X3 )
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( X0 != X1 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X2 != X3 )
& ( 10 = a(X1) )
& ( 2 = b(X3) )
& ( X0 != X2 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( 8 = a(X2) )
& ( X1 != X2 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( X0 != X1 )
& ( 6 = a(X2) )
& ( b(X1) = 2 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( X1 != X3 )
& ( 7 = a(X2) )
& $less(b(X1),3)
& $less(X1,X0)
& ( X2 != X3 )
& ( 2 = b(X3) )
& ( X0 != X1 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( X1 != X2 )
& ( 10 = a(X1) )
& $less(X1,X0)
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X3: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( 10 = a(X1) )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( X0 != X3 )
& ( X2 != X3 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( 5 = b(X2) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& $less(X1,X0) ) )
=> ~ ( ( 2 = b(z4) )
& $less(z2,z1)
& ( 10 = a(z4) )
& ( 10 = a(z2) )
& $less(b(z2),3)
& ( 5 = a(z3) )
& ( 5 = b(z1) )
& ( 7 = a(z1) ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 12 )
& $less(X1,X0)
& ( 10 = a(X1) )
& ( 8 = a(X2) )
& ( X0 != X2 )
& ( b(X1) = 2 )
& $less(b(X2),4) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( 10 = a(X1) )
& $less(b(X2),4)
& ( 5 = b(X3) )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X3 )
& ( 7 = a(X2) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 7 = a(X2) )
& ( b(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( a(X0) = 4 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X2) = 4 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X0) = 7 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( 7 = a(X2) )
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 2 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( a(X2) = 4 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& $less(b(X1),3)
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( 7 = a(X2) )
& ( X0 != X2 )
& ( a(X0) = 6 ) )
& ( z1 != z5 )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( X1 != X3 )
& ( 10 = a(X1) )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( b(X2) = 2 )
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( 5 = a(X2) )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X2 != X3 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X3 )
& ( 2 = b(X3) )
& ( 6 = a(X2) )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( 1 = a(X0) )
& ( 10 = a(X1) )
& ( X0 != X2 )
& $less(X1,X0)
& ( 6 = a(X2) )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& ( 10 = a(X1) )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X0) = 5 )
& ( 5 = a(X2) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X1 )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( 5 = b(X2) )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( 10 = a(X1) ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& $less(X1,X0)
& ( X2 != X3 )
& ( X0 != X3 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( 2 = a(X3) )
& ( X1 != X3 )
& ( a(X0) = 5 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( 5 = a(X2) )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( 5 = b(X2) )
& ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( a(X0) = 4 )
& ( 8 = a(X2) )
& $less(X1,X0)
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int] :
~ ( ( a(X0) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( 10 = a(X1) ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( a(X0) = 3 )
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& $less(b(X0),4)
& ( X0 != X2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 ) )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( ( X0 != X3 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( 1 = a(X3) )
& ( X1 != X3 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( 5 = b(X2) )
& $less(b(X1),3) )
& ( z3 != z5 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( 8 = a(X2) )
& ( 1 = a(X0) )
& $less(b(X2),4)
& ( 10 = a(X1) )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ( z2 != z3 )
& ( z4 != z5 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( X0 != X2 )
& ( 8 = a(X2) )
& ( b(X2) = 2 ) )
& ( z1 != z3 )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( 5 = b(X3) )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X2 != X3 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& $less(b(X2),4)
& ( X1 != X3 )
& ( X0 != X3 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( 7 = a(X2) )
& ( X0 != X1 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 2 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( 5 = b(X3) ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X0) = 2 )
& $less(b(X2),4)
& ( 8 = a(X2) )
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( 6 = a(X2) ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( 10 = a(X1) )
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( X0 != X2 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& ( X0 != X2 )
& ( 2 = a(X3) )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X1 != X2 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( 1 = a(X0) )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& $less(X1,X0)
& $less(b(X2),4)
& ( X0 != X1 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( 8 = a(X2) )
& ( a(X0) = 7 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X2: $int,X3: $int,X1: $int,X0: $int] :
~ ( ( X0 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X3 )
& ( 2 = a(X3) )
& ( 5 = a(X2) )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( X0 != X1 ) )
& ! [X0: $int] :
( $lesseq(1,b(X0))
& $lesseq(b(X0),5) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( 8 = a(X2) )
& ( X0 != X2 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X1 )
& ( 10 = a(X1) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( 7 = a(X2) )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( 1 = a(X0) )
& ( X0 != X1 )
& ( 5 = a(X2) )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( 7 = a(X2) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 12 )
& $less(b(X1),3)
& $less(X1,X0)
& ( 8 = a(X2) )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X2 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( 7 = a(X2) )
& $less(b(X1),3)
& ( X2 != X3 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X3 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X1 != X3 )
& ( a(X0) = 12 )
& ( 5 = b(X3) )
& ( X0 != X2 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( X2 != X3 )
& ( X1 != X3 )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( 2 = b(X3) )
& $less(X1,X0)
& $less(b(X1),3)
& ( 5 = a(X2) )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ( z1 != z4 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( 7 = a(X2) ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( 10 = a(X1) )
& ( 6 = a(X2) )
& ( b(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 7 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( 1 = a(X0) )
& ( X0 != X2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( 10 = a(X1) ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( 6 = a(X2) )
& ( b(X0) = 5 )
& ( a(X0) = 4 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X2 ) )
& ( z2 != z4 )
& ( z2 != z5 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 7 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( 7 = a(X2) )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( 10 = a(X1) )
& ( a(X0) = 10 ) )
& ( z1 != z2 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 5 = a(X2) ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( 5 = b(X2) ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( 2 = a(X3) )
& ( 5 = b(X2) )
& $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X2 )
& ( X1 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( X0 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( X2 != X3 )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( 8 = a(X2) )
& ( X0 != X2 )
& $less(b(X1),3) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( X1 != X2 )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( b(X2) = 2 )
& ( X0 != X1 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( 6 = a(X2) ) )
& ! [X0: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( a(X0) = 9 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( 5 = b(X3) )
& ( X0 != X1 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( 7 = a(X2) )
& $less(b(X1),3)
& ( X1 != X3 )
& ( 1 = a(X0) )
& ( X0 != X3 )
& ( 10 = a(X1) )
& ( b(X2) = 2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( 6 = a(X2) )
& ( b(X0) = 5 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X3 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 7 ) )
& ( z3 != z4 )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( X0 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( 10 = a(X1) )
& ( X1 != X3 )
& ( 5 = a(X2) ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& $less(b(X0),4)
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 3 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( 8 = a(X2) )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( X0 != X3 )
& ( a(X0) = 2 )
& ( X1 != X3 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X2 != X3 )
& ( 7 = a(X2) ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( 8 = a(X2) )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( 10 = a(X1) ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X0) = 6 )
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( 10 = a(X1) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( 6 = a(X2) )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( 5 = b(X2) )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 5 = a(X2) )
& ( a(X0) = 4 )
& ( 10 = a(X1) )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( 5 = b(X3) )
& $less(b(X2),4)
& ( X1 != X2 )
& ( X0 != X3 )
& ( 10 = a(X1) )
& ( X2 != X3 )
& ( 7 = a(X2) )
& $less(b(X0),4)
& ( a(X0) = 3 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& ( b(X1) = 2 )
& ( X0 != X1 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 12 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( 10 = a(X1) )
& $less(b(X0),4)
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 3 )
& $less(b(X1),3)
& ( 5 = b(X3) )
& ( X1 != X3 )
& ( X0 != X1 )
& ( 7 = a(X2) )
& ( X2 != X3 )
& ( b(X2) = 2 )
& ( X1 != X2 ) )
& $true
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 6 )
& ( b(X1) = 2 )
& ( 5 = a(X2) )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X2 )
& ( 7 = a(X2) )
& ( b(X2) = 2 )
& ( X2 != X3 )
& ( X0 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( 5 = b(X3) )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( 10 = a(X1) ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X3 )
& $less(X1,X0)
& ( 5 = b(X2) )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( X2 != X3 )
& ( a(X0) = 4 ) )
& ! [X0: $int] :
( $lesseq(1,a(X0))
& $lesseq(a(X0),12) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X0 != X3 )
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( X0 != X1 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X2 != X3 )
& ( 10 = a(X1) )
& ( 2 = b(X3) )
& ( X0 != X2 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( 8 = a(X2) )
& ( X1 != X2 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( X0 != X1 )
& ( 6 = a(X2) )
& ( b(X1) = 2 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( X1 != X3 )
& ( 7 = a(X2) )
& $less(b(X1),3)
& $less(X1,X0)
& ( X2 != X3 )
& ( 2 = b(X3) )
& ( X0 != X1 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( X1 != X2 )
& ( 10 = a(X1) )
& $less(X1,X0)
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X3: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( 10 = a(X1) )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( X0 != X3 )
& ( X2 != X3 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( 5 = b(X2) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& $less(X1,X0) ) )
=> ~ ( ( 2 = b(z4) )
& $less(z2,z1)
& ( 10 = a(z4) )
& ( 10 = a(z2) )
& $less(b(z2),3)
& ( 5 = a(z3) )
& ( 5 = b(z1) )
& ( 7 = a(z1) ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 12 )
& $less(X1,X0)
& ( 10 = a(X1) )
& ( 8 = a(X2) )
& ( X0 != X2 )
& ( b(X1) = 2 )
& $less(b(X2),4) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( 10 = a(X1) )
& $less(b(X2),4)
& ( 5 = b(X3) )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X3 )
& ( 7 = a(X2) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 7 = a(X2) )
& ( b(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( a(X0) = 4 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X2) = 4 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X0) = 7 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( 7 = a(X2) )
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 2 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( a(X2) = 4 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& $less(b(X1),3)
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( 7 = a(X2) )
& ( X0 != X2 )
& ( a(X0) = 6 ) )
& ( z1 != z5 )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( X1 != X3 )
& ( 10 = a(X1) )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( b(X2) = 2 )
& ( 2 = b(X3) )
& $less(b(X1),3)
& ( 5 = a(X2) )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X2 != X3 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X3 )
& ( 2 = b(X3) )
& ( 6 = a(X2) )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( 1 = a(X0) )
& ( 10 = a(X1) )
& ( X0 != X2 )
& $less(X1,X0)
& ( 6 = a(X2) )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& ( 10 = a(X1) )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X0) = 5 )
& ( 5 = a(X2) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X1 )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( 5 = b(X2) )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( 5 = a(X2) )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( 10 = a(X1) ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& $less(b(X1),3)
& ( 8 = a(X2) )
& $less(X1,X0)
& ( X2 != X3 )
& ( X0 != X3 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( 2 = a(X3) )
& ( X1 != X3 )
& ( a(X0) = 5 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( 5 = a(X2) )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( 5 = b(X2) )
& ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( a(X0) = 4 )
& ( 8 = a(X2) )
& $less(X1,X0)
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int] :
~ ( ( a(X0) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( 10 = a(X1) ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( a(X0) = 3 )
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& $less(b(X0),4)
& ( X0 != X2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 ) )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( ( X0 != X3 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( 1 = a(X3) )
& ( X1 != X3 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( 5 = b(X2) )
& $less(b(X1),3) )
& ( z3 != z5 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( 8 = a(X2) )
& ( 1 = a(X0) )
& $less(b(X2),4)
& ( 10 = a(X1) )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ( z2 != z3 )
& ( z4 != z5 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( X0 != X2 )
& ( 8 = a(X2) )
& ( b(X2) = 2 ) )
& ( z1 != z3 )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( 5 = b(X3) )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X2 != X3 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& $less(b(X2),4)
& ( X1 != X3 )
& ( X0 != X3 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( 7 = a(X2) )
& ( X0 != X1 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 2 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( 5 = b(X3) ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X0) = 2 )
& $less(b(X2),4)
& ( 8 = a(X2) )
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( 6 = a(X2) ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( 10 = a(X1) )
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( X0 != X2 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X2) )
& ( X0 != X2 )
& ( 2 = a(X3) )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X1 != X2 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( 1 = a(X0) )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& $less(X1,X0)
& $less(b(X2),4)
& ( X0 != X1 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( 8 = a(X2) )
& ( a(X0) = 7 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X2: $int,X3: $int,X1: $int,X0: $int] :
~ ( ( X0 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X3 )
& ( 2 = a(X3) )
& ( 5 = a(X2) )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( X0 != X1 ) )
& ! [X0: $int] :
( $lesseq(1,b(X0))
& $lesseq(b(X0),5) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( 8 = a(X2) )
& ( X0 != X2 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X1 )
& ( 10 = a(X1) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( 7 = a(X2) )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( 1 = a(X0) )
& ( X0 != X1 )
& ( 5 = a(X2) )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( 7 = a(X2) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 12 )
& $less(b(X1),3)
& $less(X1,X0)
& ( 8 = a(X2) )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X2 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( 7 = a(X2) )
& $less(b(X1),3)
& ( X2 != X3 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X3 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X1 != X3 )
& ( a(X0) = 12 )
& ( 5 = b(X3) )
& ( X0 != X2 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( X2 != X3 )
& ( X1 != X3 )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( 2 = b(X3) )
& $less(X1,X0)
& $less(b(X1),3)
& ( 5 = a(X2) )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ( z1 != z4 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( 1 = a(X0) )
& ( X1 != X2 )
& ( 7 = a(X2) ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( 10 = a(X1) )
& ( 6 = a(X2) )
& ( b(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 7 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( 1 = a(X0) )
& ( X0 != X2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( 10 = a(X1) ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( 6 = a(X2) )
& ( b(X0) = 5 )
& ( a(X0) = 4 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X2 ) )
& ( z2 != z4 )
& ( z2 != z5 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 7 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( 7 = a(X2) )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( 10 = a(X1) )
& ( a(X0) = 10 ) )
& ( z1 != z2 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 5 = a(X2) ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( 5 = b(X2) ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( 2 = a(X3) )
& ( 5 = b(X2) )
& $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X2 )
& ( X1 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( X0 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( X2 != X3 )
& ( 10 = a(X1) )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( 8 = a(X2) )
& ( X0 != X2 )
& $less(b(X1),3) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( X1 != X2 )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( b(X2) = 2 )
& ( X0 != X1 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( 6 = a(X2) ) )
& ! [X0: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( a(X0) = 9 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( 5 = b(X3) )
& ( X0 != X1 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( 7 = a(X2) )
& $less(b(X1),3)
& ( X1 != X3 )
& ( 1 = a(X0) )
& ( X0 != X3 )
& ( 10 = a(X1) )
& ( b(X2) = 2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( 6 = a(X2) )
& ( b(X0) = 5 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X3 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 7 ) )
& ( z3 != z4 )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( X0 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( 10 = a(X1) )
& ( X1 != X3 )
& ( 5 = a(X2) ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& $less(b(X0),4)
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 3 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( 8 = a(X2) )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( $less(X1,X0)
& ( 5 = b(X3) )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( X0 != X3 )
& ( a(X0) = 2 )
& ( X1 != X3 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X2 != X3 )
& ( 7 = a(X2) ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( 8 = a(X2) )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( 10 = a(X1) ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X0) = 6 )
& ( X1 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( 8 = a(X2) )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( 10 = a(X1) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( 6 = a(X2) )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( 5 = b(X2) )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 5 = a(X2) )
& ( a(X0) = 4 )
& ( 10 = a(X1) )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( 5 = b(X3) )
& $less(b(X2),4)
& ( X1 != X2 )
& ( X0 != X3 )
& ( 10 = a(X1) )
& ( X2 != X3 )
& ( 7 = a(X2) )
& $less(b(X0),4)
& ( a(X0) = 3 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& ( b(X1) = 2 )
& ( X0 != X1 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 12 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( 10 = a(X1) )
& $less(b(X0),4)
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 3 )
& $less(b(X1),3)
& ( 5 = b(X3) )
& ( X1 != X3 )
& ( X0 != X1 )
& ( 7 = a(X2) )
& ( X2 != X3 )
& ( b(X2) = 2 )
& ( X1 != X2 ) )
& $true
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 6 )
& ( b(X1) = 2 )
& ( 5 = a(X2) )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X2 )
& ( 7 = a(X2) )
& ( b(X2) = 2 )
& ( X2 != X3 )
& ( X0 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( 5 = b(X3) )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( 10 = a(X1) ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X3 )
& $less(X1,X0)
& ( 5 = b(X2) )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( X2 != X3 )
& ( a(X0) = 4 ) )
& ! [X0: $int] :
( $lesseq(1,a(X0))
& $lesseq(a(X0),12) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X0 != X3 )
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( X0 != X1 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X2 != X3 )
& ( 10 = a(X1) )
& ( 2 = b(X3) )
& ( X0 != X2 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( 8 = a(X2) )
& ( X1 != X2 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( X0 != X1 )
& ( 6 = a(X2) )
& ( b(X1) = 2 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( X1 != X3 )
& ( 7 = a(X2) )
& $less(b(X1),3)
& $less(X1,X0)
& ( X2 != X3 )
& ( 2 = b(X3) )
& ( X0 != X1 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( X1 != X2 )
& ( 10 = a(X1) )
& $less(X1,X0)
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X3: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( 10 = a(X1) )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( X0 != X3 )
& ( X2 != X3 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( 5 = b(X2) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& $less(X1,X0) ) )
=> ~ ( ( 2 = b(z4) )
& $less(z2,z1)
& ( 10 = a(z4) )
& ( 10 = a(z2) )
& $less(b(z2),3)
& ( 5 = a(z3) )
& ( 5 = b(z1) )
& ( 7 = a(z1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).
tff(f145,plain,
z2 = z4,
inference(trivial_inequality_removal,[],[f142]) ).
tff(f142,plain,
( ( 10 != 10 )
| ( z2 = z4 ) ),
inference(superposition,[],[f139,f81]) ).
tff(f81,plain,
10 = a(z2),
inference(cnf_transformation,[],[f20]) ).
tff(f139,plain,
! [X3: $int] :
( ( 10 != a(X3) )
| ( z4 = X3 ) ),
inference(trivial_inequality_removal,[],[f138]) ).
tff(f138,plain,
! [X3: $int] :
( ( 10 != a(X3) )
| ( 10 != 10 )
| ( z4 = X3 ) ),
inference(superposition,[],[f96,f66]) ).
tff(f66,plain,
10 = a(z4),
inference(cnf_transformation,[],[f20]) ).
tff(f96,plain,
! [X66: $int,X67: $int] :
( ( 10 != a(X66) )
| ( X66 = X67 )
| ( 10 != a(X67) ) ),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SWW003=1 : TPTP v8.1.0. Released v5.0.0.
% 0.05/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n012.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 20:12:50 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.43 % (598)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.44 % (615)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.15/0.44 % (607)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.15/0.44 % (606)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.44 % (614)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.45 % (596)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.45 % (600)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.45 % (600)Instruction limit reached!
% 0.15/0.45 % (600)------------------------------
% 0.15/0.45 % (600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.45 % (600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.45 % (600)Termination reason: Unknown
% 0.15/0.45 % (600)Termination phase: Property scanning
% 0.15/0.45
% 0.15/0.45 % (600)Memory used [KB]: 895
% 0.15/0.45 % (600)Time elapsed: 0.002 s
% 0.15/0.45 % (600)Instructions burned: 4 (million)
% 0.15/0.45 % (600)------------------------------
% 0.15/0.45 % (600)------------------------------
% 0.15/0.45 % (599)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.46 % (614)First to succeed.
% 0.15/0.46 % (597)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.15/0.46 % (603)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.46 % (599)Instruction limit reached!
% 0.15/0.46 % (599)------------------------------
% 0.15/0.46 % (599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46 % (599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.46 % (599)Termination reason: Unknown
% 0.15/0.46 % (599)Termination phase: Including theory axioms
% 0.15/0.46
% 0.15/0.46 % (599)Memory used [KB]: 1023
% 0.15/0.46 % (599)Time elapsed: 0.007 s
% 0.15/0.46 % (599)Instructions burned: 7 (million)
% 0.15/0.46 % (599)------------------------------
% 0.15/0.46 % (599)------------------------------
% 0.15/0.46 % (598)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.46 % (598)Terminated due to inappropriate strategy.
% 0.15/0.46 % (598)------------------------------
% 0.15/0.46 % (598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.46 % (598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.46 % (598)Termination reason: Inappropriate
% 0.15/0.46
% 0.15/0.46 % (598)Memory used [KB]: 1535
% 0.15/0.46 % (598)Time elapsed: 0.012 s
% 0.15/0.46 % (598)Instructions burned: 17 (million)
% 0.15/0.46 % (598)------------------------------
% 0.15/0.46 % (598)------------------------------
% 0.15/0.46 % (601)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.46 % (602)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.47 % (613)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.15/0.47 % (594)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.47 % (593)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.47 % (605)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.48 % (618)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.48 % (592)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.15/0.48 % (606)Also succeeded, but the first one will report.
% 0.15/0.48 % (614)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Theorem for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (614)------------------------------
% 0.15/0.48 % (614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (614)Termination reason: Refutation
% 0.15/0.48
% 0.15/0.48 % (614)Memory used [KB]: 2302
% 0.15/0.48 % (614)Time elapsed: 0.117 s
% 0.15/0.48 % (614)Instructions burned: 23 (million)
% 0.15/0.48 % (614)------------------------------
% 0.15/0.48 % (614)------------------------------
% 0.15/0.48 % (591)Success in time 0.172 s
%------------------------------------------------------------------------------