TSTP Solution File: SWW000_1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW000_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n028.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 : Mon Jun 24 18:28:07 EDT 2024
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 40
% Syntax : Number of formulae : 169 ( 54 unt; 0 typ; 0 def)
% Number of atoms : 5392 (4208 equ)
% Maximal formula atoms : 788 ( 31 avg)
% Number of connectives : 8044 (2821 ~;1845 |;3342 &)
% ( 32 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 115 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 5086 ( 893 atm; 0 fun;2616 num;1577 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 37 ( 32 usr; 34 prp; 0-2 aty)
% Number of functors : 25 ( 14 usr; 23 con; 0-1 aty)
% Number of variables : 1577 (1577 !; 0 ?;1577 :)
% 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(func_def_21,type,
sF0: $int ).
tff(func_def_22,type,
sF1: $int ).
tff(func_def_23,type,
sF2: $int ).
tff(func_def_24,type,
sF3: $int ).
tff(func_def_25,type,
sF4: $int ).
tff(func_def_26,type,
sF5: $int ).
tff(func_def_27,type,
sF6: $int ).
tff(f676,plain,
$false,
inference(avatar_smt_refutation,[],[f135,f139,f143,f147,f151,f155,f159,f163,f167,f171,f175,f179,f183,f187,f191,f195,f199,f203,f208,f215,f225,f230,f237,f248,f259,f271,f275,f292,f325,f625,f675]) ).
tff(f675,plain,
( spl7_1
| spl7_2
| ~ spl7_3
| spl7_5
| spl7_6
| spl7_8
| spl7_9
| ~ spl7_14
| ~ spl7_19
| ~ spl7_20
| ~ spl7_21
| ~ spl7_24
| ~ spl7_25 ),
inference(avatar_contradiction_clause,[],[f674]) ).
tff(f674,plain,
( $false
| spl7_1
| spl7_2
| ~ spl7_3
| spl7_5
| spl7_6
| spl7_8
| spl7_9
| ~ spl7_14
| ~ spl7_19
| ~ spl7_20
| ~ spl7_21
| ~ spl7_24
| ~ spl7_25 ),
inference(subsumption_resolution,[],[f673,f186]) ).
tff(f186,plain,
( $less(sF2,3)
| ~ spl7_14 ),
inference(avatar_component_clause,[],[f185]) ).
tff(f185,plain,
( spl7_14
<=> $less(sF2,3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_14])]) ).
tff(f673,plain,
( ~ $less(sF2,3)
| spl7_1
| spl7_2
| ~ spl7_3
| spl7_5
| spl7_6
| spl7_8
| spl7_9
| ~ spl7_19
| ~ spl7_20
| ~ spl7_21
| ~ spl7_24
| ~ spl7_25 ),
inference(forward_demodulation,[],[f672,f224]) ).
tff(f224,plain,
( ( b(z2) = sF2 )
| ~ spl7_21 ),
inference(avatar_component_clause,[],[f223]) ).
tff(f223,plain,
( spl7_21
<=> ( b(z2) = sF2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_21])]) ).
tff(f672,plain,
( ~ $less(b(z2),3)
| spl7_1
| spl7_2
| ~ spl7_3
| spl7_5
| spl7_6
| spl7_8
| spl7_9
| ~ spl7_19
| ~ spl7_20
| ~ spl7_24
| ~ spl7_25 ),
inference(subsumption_resolution,[],[f671,f162]) ).
tff(f162,plain,
( ( z1 != z2 )
| spl7_8 ),
inference(avatar_component_clause,[],[f161]) ).
tff(f161,plain,
( spl7_8
<=> ( z1 = z2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
tff(f671,plain,
( ( z1 = z2 )
| ~ $less(b(z2),3)
| spl7_1
| spl7_2
| ~ spl7_3
| spl7_5
| spl7_6
| spl7_9
| ~ spl7_19
| ~ spl7_20
| ~ spl7_24
| ~ spl7_25 ),
inference(subsumption_resolution,[],[f670,f150]) ).
tff(f150,plain,
( ( z2 != z4 )
| spl7_5 ),
inference(avatar_component_clause,[],[f149]) ).
tff(f149,plain,
( spl7_5
<=> ( z2 = z4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
tff(f670,plain,
( ( z2 = z4 )
| ~ $less(b(z2),3)
| ( z1 = z2 )
| spl7_1
| spl7_2
| ~ spl7_3
| spl7_6
| spl7_9
| ~ spl7_19
| ~ spl7_20
| ~ spl7_24
| ~ spl7_25 ),
inference(subsumption_resolution,[],[f669,f142]) ).
tff(f142,plain,
( $less(z2,z1)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f141]) ).
tff(f141,plain,
( spl7_3
<=> $less(z2,z1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
tff(f669,plain,
( ~ $less(z2,z1)
| ~ $less(b(z2),3)
| ( z1 = z2 )
| ( z2 = z4 )
| spl7_1
| spl7_2
| spl7_6
| spl7_9
| ~ spl7_19
| ~ spl7_20
| ~ spl7_24
| ~ spl7_25 ),
inference(subsumption_resolution,[],[f668,f138]) ).
tff(f138,plain,
( ( z2 != z3 )
| spl7_2 ),
inference(avatar_component_clause,[],[f137]) ).
tff(f137,plain,
( spl7_2
<=> ( z2 = z3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
tff(f668,plain,
( ~ $less(b(z2),3)
| ( z2 = z3 )
| ~ $less(z2,z1)
| ( z2 = z4 )
| ( z1 = z2 )
| spl7_1
| spl7_6
| spl7_9
| ~ spl7_19
| ~ spl7_20
| ~ spl7_24
| ~ spl7_25 ),
inference(trivial_inequality_removal,[],[f667]) ).
tff(f667,plain,
( ~ $less(z2,z1)
| ( 10 != 10 )
| ( z2 = z3 )
| ( z1 = z2 )
| ( z2 = z4 )
| ~ $less(b(z2),3)
| spl7_1
| spl7_6
| spl7_9
| ~ spl7_19
| ~ spl7_20
| ~ spl7_24
| ~ spl7_25 ),
inference(superposition,[],[f666,f214]) ).
tff(f214,plain,
( ( 10 = a(z2) )
| ~ spl7_20 ),
inference(avatar_component_clause,[],[f213]) ).
tff(f213,plain,
( spl7_20
<=> ( 10 = a(z2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_20])]) ).
tff(f666,plain,
( ! [X0: $int] :
( ( a(X0) != 10 )
| ~ $less(X0,z1)
| ~ $less(b(X0),3)
| ( z3 = X0 )
| ( z4 = X0 )
| ( z1 = X0 ) )
| spl7_1
| spl7_6
| spl7_9
| ~ spl7_19
| ~ spl7_24
| ~ spl7_25 ),
inference(subsumption_resolution,[],[f665,f166]) ).
tff(f166,plain,
( ( z1 != z4 )
| spl7_9 ),
inference(avatar_component_clause,[],[f165]) ).
tff(f165,plain,
( spl7_9
<=> ( z1 = z4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).
tff(f665,plain,
( ! [X0: $int] :
( ( a(X0) != 10 )
| ( z4 = X0 )
| ~ $less(X0,z1)
| ( z3 = X0 )
| ( z1 = X0 )
| ( z1 = z4 )
| ~ $less(b(X0),3) )
| spl7_1
| spl7_6
| ~ spl7_19
| ~ spl7_24
| ~ spl7_25 ),
inference(subsumption_resolution,[],[f664,f134]) ).
tff(f134,plain,
( ( z1 != z3 )
| spl7_1 ),
inference(avatar_component_clause,[],[f133]) ).
tff(f133,plain,
( spl7_1
<=> ( z1 = z3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
tff(f664,plain,
( ! [X0: $int] :
( ~ $less(b(X0),3)
| ( z3 = X0 )
| ( z4 = X0 )
| ( a(X0) != 10 )
| ( z1 = z3 )
| ~ $less(X0,z1)
| ( z1 = X0 )
| ( z1 = z4 ) )
| spl7_6
| ~ spl7_19
| ~ spl7_24
| ~ spl7_25 ),
inference(trivial_inequality_removal,[],[f662]) ).
tff(f662,plain,
( ! [X0: $int] :
( ( z1 = z4 )
| ~ $less(X0,z1)
| ( 5 != 5 )
| ~ $less(b(X0),3)
| ( z1 = X0 )
| ( z4 = X0 )
| ( a(X0) != 10 )
| ( z1 = z3 )
| ( z3 = X0 ) )
| spl7_6
| ~ spl7_19
| ~ spl7_24
| ~ spl7_25 ),
inference(superposition,[],[f643,f258]) ).
tff(f258,plain,
( ( 5 = a(z1) )
| ~ spl7_25 ),
inference(avatar_component_clause,[],[f257]) ).
tff(f257,plain,
( spl7_25
<=> ( 5 = a(z1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_25])]) ).
tff(f643,plain,
( ! [X0: $int,X1: $int] :
( ( 5 != a(X1) )
| ( z3 = X0 )
| ( a(X0) != 10 )
| ( X0 = X1 )
| ( z4 = X0 )
| ~ $less(X0,X1)
| ~ $less(b(X0),3)
| ( z3 = X1 )
| ( z4 = X1 ) )
| spl7_6
| ~ spl7_19
| ~ spl7_24 ),
inference(subsumption_resolution,[],[f642,f154]) ).
tff(f154,plain,
( ( z3 != z4 )
| spl7_6 ),
inference(avatar_component_clause,[],[f153]) ).
tff(f153,plain,
( spl7_6
<=> ( z3 = z4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
tff(f642,plain,
( ! [X0: $int,X1: $int] :
( ( a(X0) != 10 )
| ( z4 = X0 )
| ( X0 = X1 )
| ~ $less(X0,X1)
| ( z3 = z4 )
| ( z4 = X1 )
| ~ $less(b(X0),3)
| ( 5 != a(X1) )
| ( z3 = X0 )
| ( z3 = X1 ) )
| ~ spl7_19
| ~ spl7_24 ),
inference(trivial_inequality_removal,[],[f639]) ).
tff(f639,plain,
( ! [X0: $int,X1: $int] :
( ( X0 = X1 )
| ( z3 = X1 )
| ( a(X0) != 10 )
| ( 5 != 5 )
| ~ $less(b(X0),3)
| ( 5 != a(X1) )
| ( z3 = X0 )
| ( z4 = X0 )
| ( z3 = z4 )
| ~ $less(X0,X1)
| ( z4 = X1 ) )
| ~ spl7_19
| ~ spl7_24 ),
inference(superposition,[],[f618,f207]) ).
tff(f207,plain,
( ( 5 = b(z3) )
| ~ spl7_19 ),
inference(avatar_component_clause,[],[f206]) ).
tff(f206,plain,
( spl7_19
<=> ( 5 = b(z3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_19])]) ).
tff(f618,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( 5 != b(X2) )
| ( X0 = X1 )
| ( z4 = X1 )
| ( a(X0) != 10 )
| ( z4 = X2 )
| ~ $less(b(X0),3)
| ( 5 != a(X1) )
| ( z4 = X0 )
| ( X1 = X2 )
| ( X0 = X2 )
| ~ $less(X0,X1) )
| ~ spl7_24 ),
inference(trivial_inequality_removal,[],[f617]) ).
tff(f617,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( 2 != 2 )
| ~ $less(X0,X1)
| ~ $less(b(X0),3)
| ( a(X0) != 10 )
| ( z4 = X2 )
| ( z4 = X1 )
| ( X0 = X1 )
| ( X1 = X2 )
| ( 5 != a(X1) )
| ( z4 = X0 )
| ( 5 != b(X2) )
| ( X0 = X2 ) )
| ~ spl7_24 ),
inference(superposition,[],[f62,f247]) ).
tff(f247,plain,
( ( 2 = a(z4) )
| ~ spl7_24 ),
inference(avatar_component_clause,[],[f246]) ).
tff(f246,plain,
( spl7_24
<=> ( 2 = a(z4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_24])]) ).
tff(f62,plain,
! [X21: $int,X24: $int,X22: $int,X23: $int] :
( ( 2 != a(X24) )
| ( X23 = X24 )
| ( 10 != a(X23) )
| ~ $less(b(X23),3)
| ~ $less(X23,X21)
| ( X21 = X23 )
| ( X21 = X24 )
| ( X22 = X24 )
| ( X22 = X23 )
| ( 5 != a(X21) )
| ( X21 = X22 )
| ( 5 != b(X22) ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ! [X230: $int,X228: $int,X229: $int] :
( ( X228 = X229 )
| ( 10 != a(X230) )
| ( X228 = X230 )
| ( X229 = X230 )
| ( 5 != b(X229) )
| ( 2 != b(X230) )
| ( 5 != a(X229) )
| ( 4 != a(X228) )
| ~ $less(X230,X229) )
& ! [X199: $int,X198: $int,X197: $int] :
( ( 2 != b(X199) )
| ( 6 != a(X197) )
| ( 5 != b(X198) )
| ( X197 = X198 )
| ~ $less(X199,X198)
| ( X197 = X199 )
| ( X198 = X199 )
| ( 10 != a(X199) )
| ( 4 != a(X198) ) )
& ( z3 != z5 )
& ! [X175: $int,X176: $int] :
( ( 10 != a(X175) )
| ( X175 = X176 )
| ~ $less(X175,X176)
| ~ $less(b(X175),3)
| ( 9 != a(X176) ) )
& ! [X241: $int,X242: $int,X243: $int] :
( ( 6 != a(X241) )
| ( 5 != b(X242) )
| ( X242 = X243 )
| ( 7 != a(X242) )
| ~ $less(b(X243),3)
| ~ $less(X243,X242)
| ( X241 = X243 )
| ( 10 != a(X243) )
| ( X241 = X242 ) )
& ! [X135: $int,X136: $int,X134: $int] :
( ( X134 = X136 )
| ( 5 != b(X136) )
| ( 10 != a(X134) )
| ( 4 != a(X135) )
| ( 2 != b(X134) )
| ( X135 = X136 )
| ( X134 = X135 )
| ( 6 != a(X136) )
| ~ $less(X134,X136) )
& ! [X174: $int,X173: $int,X172: $int] :
( ( X173 = X174 )
| ( 7 != a(X174) )
| ~ $less(b(X172),3)
| ( X172 = X173 )
| ( 6 != a(X173) )
| ( 5 != b(X173) )
| ( X172 = X174 )
| ~ $less(X172,X173)
| ( 10 != a(X172) ) )
& ( z2 != z5 )
& ! [X64: $int,X63: $int,X65: $int] :
( ( 5 != a(X63) )
| ( 10 != a(X65) )
| ( 5 != a(X64) )
| ( 5 != b(X64) )
| ( X63 = X64 )
| ~ $less(X65,X64)
| ( X63 = X65 )
| ( 2 != b(X65) )
| ( X64 = X65 ) )
& ! [X160: $int,X159: $int,X161: $int,X162: $int] :
( ( 2 != b(X160) )
| ~ $less(X161,X159)
| ~ $less(b(X161),3)
| ( 1 != a(X159) )
| ( X161 = X162 )
| ( X160 = X162 )
| ( 10 != a(X161) )
| ( 7 != a(X160) )
| ( X159 = X161 )
| ( X159 = X160 )
| ( X160 = X161 )
| ( 5 != b(X162) )
| ( X159 = X162 ) )
& ! [X118: $int,X120: $int,X119: $int] :
( ( 10 != a(X118) )
| ( 4 != a(X120) )
| ( X118 = X120 )
| ~ $less(X118,X120)
| ( 2 != b(X118) )
| ( X119 = X120 )
| ( 5 != b(X119) )
| ( X118 = X119 ) )
& ! [X148: $int,X147: $int,X149: $int] :
( ( 2 != b(X148) )
| ( 10 != a(X148) )
| ( 7 != a(X149) )
| ( X148 = X149 )
| ( X147 = X149 )
| ( 5 != b(X147) )
| ( 4 != a(X147) )
| ~ $less(X148,X147)
| ( X147 = X148 ) )
& ! [X20: $int,X19: $int,X18: $int] :
( ( X19 = X20 )
| ( 10 != a(X20) )
| ~ $less(b(X20),3)
| ~ $less(X20,X18)
| ( X18 = X20 )
| ( 2 != b(X19) )
| ~ $less(b(X18),4)
| ( 3 != a(X18) )
| ( 8 != a(X19) )
| ( X18 = X19 ) )
& ! [X204: $int,X205: $int,X203: $int,X206: $int] :
( ( 5 != b(X203) )
| ( 2 != a(X206) )
| ~ $less(b(X205),3)
| ( X203 = X204 )
| ( X205 = X206 )
| ~ $less(X205,X204)
| ( X203 = X205 )
| ( X204 = X206 )
| ( X203 = X206 )
| ( X204 = X205 )
| ( 10 != a(X205) )
| ( 4 != a(X204) ) )
& ! [X38: $int,X39: $int,X37: $int] :
( ( 8 != a(X37) )
| ( X37 = X38 )
| ( X38 = X39 )
| ( 12 != a(X38) )
| ( 10 != a(X39) )
| ( 2 != b(X39) )
| ~ $less(b(X37),4)
| ( X37 = X39 )
| ~ $less(X39,X38) )
& ! [X217: $int,X218: $int,X219: $int] :
( ( 10 != a(X217) )
| ~ $less(X217,X218)
| ( X218 = X219 )
| ( 2 != b(X219) )
| ( X217 = X218 )
| ( X217 = X219 )
| ( 8 != a(X219) )
| ~ $less(b(X217),3)
| ( 12 != a(X218) ) )
& ! [X248: $int,X250: $int,X249: $int] :
( ( 10 != a(X248) )
| ( 1 != a(X250) )
| ~ $less(b(X249),4)
| ( 2 != b(X248) )
| ( X249 = X250 )
| ~ $less(X248,X250)
| ( X248 = X249 )
| ( X248 = X250 )
| ( 8 != a(X249) ) )
& ! [X71: $int,X72: $int,X73: $int] :
( ( 5 != a(X73) )
| ( 10 != a(X71) )
| ( X71 = X72 )
| ( X72 = X73 )
| ~ $less(X71,X73)
| ( 2 != b(X72) )
| ~ $less(b(X71),3)
| ( 8 != a(X72) )
| ( X71 = X73 ) )
& ( 5 = b(z3) )
& ! [X231: $int,X234: $int,X232: $int,X233: $int] :
( ( X231 = X232 )
| ( 2 != a(X234) )
| ( X232 = X233 )
| ( X233 = X234 )
| ( 5 != b(X232) )
| ~ $less(X231,X234)
| ( 2 != b(X233) )
| ( 10 != a(X231) )
| ( X231 = X234 )
| ( 7 != a(X233) )
| ( X231 = X233 )
| ~ $less(b(X231),3)
| ( X232 = X234 ) )
& ! [X12: $int,X13: $int,X14: $int] :
( ( 5 != b(X14) )
| ( X13 = X14 )
| ( 10 != a(X12) )
| ( 7 != a(X14) )
| ( 5 != a(X13) )
| ( X12 = X14 )
| ( 2 != b(X12) )
| ( X12 = X13 )
| ~ $less(X12,X14) )
& ! [X168: $int,X167: $int,X166: $int] :
( ( 2 != b(X166) )
| ( 10 != a(X166) )
| ( X167 = X168 )
| ( 5 != a(X168) )
| ( 6 != a(X167) )
| ~ $less(X166,X168)
| ( 5 != b(X168) )
| ( X166 = X168 )
| ( X166 = X167 ) )
& ! [X97: $int,X96: $int,X94: $int,X95: $int] :
( ( 5 != b(X97) )
| ~ $less(b(X96),3)
| ( X94 = X97 )
| ( 10 != a(X96) )
| ( X95 = X96 )
| ~ $less(X96,X95)
| ( X94 = X95 )
| ( X95 = X97 )
| ( X94 = X96 )
| ( 1 != a(X94) )
| ( X96 = X97 )
| ( 5 != a(X95) ) )
& ( 10 = a(z2) )
& ! [X223: $int,X220: $int,X221: $int,X222: $int] :
( ( X221 = X223 )
| ( X220 = X222 )
| ( X222 = X223 )
| ( 2 != b(X223) )
| ( 4 != a(X222) )
| ~ $less(b(X221),3)
| ( X220 = X221 )
| ( X220 = X223 )
| ( 10 != a(X221) )
| ~ $less(X221,X222)
| ( X221 = X222 )
| ( 8 != a(X220) ) )
& ! [X85: $int,X86: $int,X87: $int] :
( ( X85 = X86 )
| ( 2 != b(X85) )
| ( 5 != b(X86) )
| ~ $less(b(X87),3)
| ~ $less(X87,X86)
| ( X85 = X87 )
| ( 10 != a(X87) )
| ( 12 != a(X86) )
| ( X86 = X87 )
| ( 7 != a(X85) ) )
& ! [X100: $int,X99: $int,X98: $int] :
( ( 12 != a(X99) )
| ( 5 != b(X99) )
| ( 6 != a(X100) )
| ( X99 = X100 )
| ( X98 = X99 )
| ( 10 != a(X98) )
| ( X98 = X100 )
| ~ $less(X98,X99)
| ( 2 != b(X98) ) )
& ! [X45: $int,X46: $int,X44: $int] :
( ( X44 = X45 )
| ~ $less(X46,X45)
| ( 10 != a(X46) )
| ( 2 != b(X44) )
| ~ $less(b(X46),3)
| ( 4 != a(X45) )
| ( X44 = X46 )
| ( 8 != a(X44) )
| ( X45 = X46 ) )
& ! [X0: $int,X1: $int] :
( ( a(X0) != 10 )
| ( 10 != a(X1) )
| ( X0 = X1 ) )
& ( z1 != z4 )
& ! [X69: $int,X68: $int,X70: $int] :
( ( X68 = X69 )
| ( 1 != a(X69) )
| ( 2 != b(X70) )
| ( X68 = X70 )
| ( 10 != a(X68) )
| ~ $less(b(X68),3)
| ( X69 = X70 )
| ~ $less(X68,X69)
| ( 8 != a(X70) ) )
& ! [X3: $int,X2: $int,X4: $int] :
( ( 7 != a(X2) )
| ~ $less(X3,X2)
| ( X3 = X4 )
| ~ $less(b(X3),3)
| ( 5 != b(X2) )
| ( 10 != a(X3) )
| ( X2 = X4 )
| ( X2 = X3 )
| ( 7 != a(X4) ) )
& ( z1 != z2 )
& ! [X132: $int,X131: $int,X130: $int,X133: $int] :
( ( 2 != a(X131) )
| ( X130 = X132 )
| ( 10 != a(X133) )
| ( X130 = X133 )
| ( X132 = X133 )
| ( X131 = X132 )
| ( X131 = X133 )
| ~ $less(X133,X131)
| ( 5 != b(X130) )
| ( 7 != a(X132) )
| ( 2 != b(X133) )
| ~ $less(b(X132),4)
| ( X130 = X131 ) )
& ! [X138: $int,X139: $int,X137: $int] :
( ( 8 != a(X138) )
| ( X137 = X139 )
| ~ $less(X139,X137)
| ( 2 != b(X139) )
| ( X137 = X138 )
| ( X138 = X139 )
| ( 5 != a(X137) )
| ( 10 != a(X139) ) )
& ! [X27: $int,X25: $int,X28: $int,X26: $int] :
( ( 5 != b(X25) )
| ( X27 = X28 )
| ( X25 = X26 )
| ( X26 = X28 )
| ( 7 != a(X28) )
| ~ $less(b(X26),4)
| ~ $less(b(X27),3)
| ( 3 != a(X26) )
| ( X25 = X27 )
| ( X25 = X28 )
| ( X26 = X27 )
| ( 10 != a(X27) )
| ~ $less(X27,X26)
| ( 2 != b(X28) ) )
& ! [X9: $int,X11: $int,X10: $int,X8: $int] :
( ( X9 = X10 )
| ( X8 = X10 )
| ( 5 != b(X8) )
| ~ $less(X9,X11)
| ( X8 = X9 )
| ( X9 = X11 )
| ~ $less(b(X9),3)
| ( 10 != a(X9) )
| ( 2 != b(X10) )
| ( 5 != a(X11) )
| ( X8 = X11 )
| ( X10 = X11 ) )
& ! [X164: $int,X163: $int,X165: $int] :
( ( X164 = X165 )
| ( 2 != b(X164) )
| ( 10 != a(X164) )
| ~ $less(X164,X163)
| ( 2 != a(X163) )
| ( 5 != b(X163) )
| ( 5 != a(X165) )
| ( X163 = X165 )
| ( X163 = X164 ) )
& ! [X213: $int,X216: $int,X215: $int,X214: $int] :
( ( 5 != a(X213) )
| ~ $less(X214,X215)
| ( 5 != b(X215) )
| ( X213 = X214 )
| ( X214 = X216 )
| ( 10 != a(X214) )
| ( X213 = X216 )
| ~ $less(b(X214),3)
| ( X213 = X215 )
| ( X215 = X216 )
| ( 2 != b(X216) )
| ( 6 != a(X215) )
| ( X214 = X215 ) )
& ! [X5: $int,X7: $int,X6: $int] :
( ( 3 != a(X6) )
| ( X5 = X7 )
| ( 2 != b(X5) )
| ( X6 = X7 )
| ( X5 = X6 )
| ~ $less(b(X7),4)
| ( 10 != a(X5) )
| ~ $less(b(X6),4)
| ( 8 != a(X7) )
| ~ $less(X5,X6) )
& ! [X202: $int,X200: $int,X201: $int] :
( ~ $less(X200,X202)
| ( 5 != b(X202) )
| ( 10 != a(X200) )
| ( 6 != a(X202) )
| ( 5 != a(X201) )
| ( X200 = X202 )
| ( 2 != b(X200) )
| ( X201 = X202 )
| ( X200 = X201 ) )
& ! [X186: $int,X185: $int,X184: $int] :
( ( 2 != b(X186) )
| ( 8 != a(X184) )
| ( 10 != a(X186) )
| ~ $less(X186,X185)
| ( 4 != a(X185) )
| ( X184 = X186 )
| ( X184 = X185 )
| ( X185 = X186 ) )
& ! [X62: $int,X61: $int,X60: $int] :
( ( 2 != b(X62) )
| ( X61 = X62 )
| ( X60 = X62 )
| ( 10 != a(X62) )
| ( 6 != a(X61) )
| ( 5 != b(X60) )
| ( X60 = X61 )
| ( 2 != a(X60) )
| ~ $less(X62,X60) )
& ! [X34: $int,X33: $int,X35: $int,X36: $int] :
( ~ $less(b(X33),3)
| ( 5 != b(X36) )
| ( 5 != a(X36) )
| ( X35 = X36 )
| ( X33 = X35 )
| ( 2 != b(X35) )
| ( X34 = X36 )
| ( X33 = X36 )
| ( 10 != a(X33) )
| ( 6 != a(X34) )
| ~ $less(X33,X36)
| ( X34 = X35 )
| ( X33 = X34 ) )
& $less(b(z2),3)
& ! [X57: $int,X59: $int,X58: $int] :
( ~ $less(b(X57),4)
| ( 5 != b(X59) )
| ( 2 != b(X58) )
| ( 10 != a(X58) )
| ( 7 != a(X57) )
| ( X58 = X59 )
| ( 2 != a(X59) )
| ~ $less(X58,X59)
| ( X57 = X59 )
| ( X57 = X58 ) )
& ! [X41: $int,X42: $int,X40: $int,X43: $int] :
( ( X41 = X42 )
| ( X40 = X41 )
| ~ $less(X40,X41)
| ( X42 = X43 )
| ( 2 != b(X43) )
| ( 5 != b(X41) )
| ( X41 = X43 )
| ( 5 != a(X42) )
| ( 5 != a(X41) )
| ( 10 != a(X40) )
| ~ $less(b(X40),3)
| ( X40 = X43 )
| ( 2 != b(X42) )
| ( X40 = X42 ) )
& ! [X152: $int,X151: $int,X150: $int] :
( ( 1 != a(X150) )
| ( 2 != b(X152) )
| ( X151 = X152 )
| ( 5 != b(X150) )
| ~ $less(X151,X150)
| ~ $less(b(X151),3)
| ( X150 = X151 )
| ( 7 != a(X152) )
| ( 10 != a(X151) )
| ( X150 = X152 ) )
& ( 2 = b(z1) )
& ! [X125: $int,X124: $int,X126: $int] :
( ( 10 != a(X126) )
| ( X124 = X126 )
| ( 2 != b(X126) )
| ~ $less(X126,X124)
| ( 7 != a(X124) )
| ( X124 = X125 )
| ( X125 = X126 )
| ( 5 != b(X124) )
| ( 4 != a(X125) ) )
& ! [X121: $int,X122: $int,X123: $int] :
( ( 10 != a(X122) )
| ( X122 = X123 )
| ~ $less(X122,X123)
| ( 7 != a(X123) )
| ( 8 != a(X121) )
| ( X121 = X122 )
| ( X121 = X123 )
| ~ $less(b(X122),3) )
& ! [X22: $int,X23: $int,X24: $int,X21: $int] :
( ( X23 = X24 )
| ( X22 = X23 )
| ~ $less(b(X23),3)
| ( X21 = X22 )
| ( 2 != a(X24) )
| ( X22 = X24 )
| ( 5 != b(X22) )
| ~ $less(X23,X21)
| ( X21 = X23 )
| ( 10 != a(X23) )
| ( X21 = X24 )
| ( 5 != a(X21) ) )
& ! [X143: $int,X140: $int,X141: $int,X142: $int] :
( ( X140 = X143 )
| ( X142 = X143 )
| ( X141 = X142 )
| ( X140 = X142 )
| ( 5 != b(X143) )
| ( 2 != b(X140) )
| ( 4 != a(X141) )
| ( X141 = X143 )
| ( X140 = X141 )
| ~ $less(X142,X141)
| ~ $less(b(X142),3)
| ( 10 != a(X142) ) )
& ! [X227: $int] :
( ~ $less(5,b(X227))
& ~ $less(b(X227),1) )
& ( z4 != z5 )
& ! [X17: $int,X15: $int,X16: $int] :
( ( 2 != a(X16) )
| ~ $less(X15,X16)
| ( 5 != b(X16) )
| ~ $less(b(X15),3)
| ( X15 = X17 )
| ( X16 = X17 )
| ( X15 = X16 )
| ( 10 != a(X15) )
| ( 2 != b(X17) )
| ( 7 != a(X17) ) )
& ! [X188: $int,X189: $int,X187: $int] :
( ( X187 = X189 )
| ~ $less(X189,X187)
| ~ $less(b(X189),3)
| ( 10 != a(X189) )
| ( X188 = X189 )
| ( 5 != b(X188) )
| ( X187 = X188 )
| ( 7 != a(X187) ) )
& ! [X106: $int,X105: $int,X104: $int] :
( ( X105 = X106 )
| ( 2 != b(X104) )
| ( 5 != a(X105) )
| ( 10 != a(X104) )
| ( X104 = X106 )
| ( 5 != b(X105) )
| ~ $less(X104,X105)
| ( 7 != a(X106) )
| ( X104 = X105 ) )
& ! [X52: $int,X51: $int,X53: $int] :
( ( 4 != a(X53) )
| ( 10 != a(X52) )
| ( 5 != b(X51) )
| ~ $less(X52,X51)
| ( X52 = X53 )
| ( X51 = X53 )
| ( 1 != a(X51) )
| ( 2 != b(X52) )
| ( X51 = X52 ) )
& ! [X190: $int,X192: $int,X191: $int] :
( ( 5 != b(X191) )
| ~ $less(X190,X191)
| ( 4 != a(X192) )
| ( 4 != a(X191) )
| ( X190 = X192 )
| ( X190 = X191 )
| ( 10 != a(X190) )
| ( X191 = X192 )
| ( 2 != b(X190) ) )
& ! [X179: $int,X177: $int,X178: $int] :
( ( 10 != a(X179) )
| ( X177 = X178 )
| ~ $less(b(X179),3)
| ( 2 != b(X177) )
| ( X177 = X179 )
| ( 5 != a(X178) )
| ( X178 = X179 )
| ( 5 != b(X178) )
| ~ $less(X179,X178)
| ( 6 != a(X177) ) )
& ! [X236: $int,X237: $int,X235: $int] :
( ( X235 = X237 )
| ( 6 != a(X237) )
| ( 1 != a(X235) )
| ( 2 != b(X236) )
| ( 5 != b(X235) )
| ( 10 != a(X236) )
| ( X236 = X237 )
| ( X235 = X236 )
| ~ $less(X236,X235) )
& ! [X240: $int,X238: $int,X239: $int] :
( ( 6 != a(X239) )
| ( X239 = X240 )
| ~ $less(b(X238),3)
| ( X238 = X239 )
| ~ $less(X238,X239)
| ( 5 != b(X240) )
| ( 10 != a(X238) )
| ( X238 = X240 ) )
& ! [X50: $int,X48: $int,X49: $int,X47: $int] :
( ( 10 != a(X47) )
| ( X47 = X49 )
| ( X48 = X50 )
| ~ $less(b(X49),4)
| ( 7 != a(X49) )
| ( 2 != b(X47) )
| ( 5 != b(X48) )
| ~ $less(b(X50),4)
| ~ $less(X47,X50)
| ( X49 = X50 )
| ( X47 = X50 )
| ( 3 != a(X50) )
| ( X47 = X48 )
| ( X48 = X49 ) )
& ( z3 != z4 )
& ! [X116: $int,X117: $int,X115: $int] :
( ( X115 = X117 )
| ( X116 = X117 )
| ( 10 != a(X117) )
| ( 4 != a(X116) )
| ( X115 = X116 )
| ( 5 != b(X115) )
| ( 2 != b(X117) )
| ~ $less(X117,X115)
| ( 12 != a(X115) ) )
& ! [X79: $int,X81: $int,X78: $int,X80: $int] :
( ( X78 = X79 )
| ( X78 = X80 )
| ( X79 = X81 )
| ( 8 != a(X80) )
| ( 10 != a(X79) )
| ( 5 != a(X78) )
| ~ $less(b(X79),3)
| ( 2 != a(X81) )
| ( X78 = X81 )
| ( X79 = X80 )
| ~ $less(X79,X78)
| ( X80 = X81 ) )
& ! [X225: $int,X224: $int,X226: $int] :
( ( X224 = X225 )
| ( 5 != b(X225) )
| ( 7 != a(X226) )
| ( 2 != b(X224) )
| ( 1 != a(X225) )
| ( 10 != a(X224) )
| ~ $less(b(X226),4)
| ( X225 = X226 )
| ~ $less(X224,X225)
| ( X224 = X226 ) )
& ( z2 != z4 )
& ! [X146: $int,X144: $int,X145: $int] :
( ( X144 = X146 )
| ~ $less(b(X145),4)
| ( 10 != a(X146) )
| ( 2 != a(X144) )
| ( 8 != a(X145) )
| ~ $less(X146,X144)
| ( 2 != b(X146) )
| ( X144 = X145 )
| ( X145 = X146 ) )
& ( 5 = a(z3) )
& ! [X154: $int,X153: $int,X155: $int] :
( ( 5 != a(X155) )
| ( 10 != a(X154) )
| ( 2 != b(X153) )
| ( 7 != a(X153) )
| ~ $less(b(X154),3)
| ( X153 = X154 )
| ~ $less(X154,X155)
| ( X153 = X155 )
| ( X154 = X155 )
| ( 5 != b(X155) ) )
& $true
& ! [X108: $int,X107: $int,X110: $int,X109: $int] :
( ( X107 = X110 )
| ( 5 != b(X107) )
| ~ $less(b(X109),4)
| ~ $less(X108,X110)
| ( 7 != a(X109) )
| ( X108 = X109 )
| ( X107 = X108 )
| ( 2 != b(X108) )
| ( 12 != a(X110) )
| ( X108 = X110 )
| ( 10 != a(X108) )
| ( X107 = X109 )
| ( X109 = X110 ) )
& ! [X30: $int,X32: $int,X31: $int,X29: $int] :
( ( X29 = X31 )
| ( X30 = X31 )
| ~ $less(X29,X31)
| ( X31 = X32 )
| ~ $less(b(X29),3)
| ( 10 != a(X29) )
| ( 5 != b(X30) )
| ( X29 = X32 )
| ( 7 != a(X32) )
| ( 2 != b(X32) )
| ( X29 = X30 )
| ( X30 = X32 )
| ( 12 != a(X31) ) )
& ! [X251: $int] :
( ~ $less(12,a(X251))
& ~ $less(a(X251),1) )
& ( 2 = a(z4) )
& ! [X56: $int,X54: $int,X55: $int] :
( ( 6 != a(X55) )
| ( X55 = X56 )
| ( 10 != a(X56) )
| ( X54 = X55 )
| ( 8 != a(X54) )
| ( X54 = X56 )
| ~ $less(X56,X55)
| ~ $less(b(X56),3) )
& ( 5 = a(z1) )
& ! [X212: $int,X210: $int,X211: $int] :
( ( 5 != b(X211) )
| ( X211 = X212 )
| ( X210 = X211 )
| ( 2 != b(X210) )
| ~ $less(X210,X212)
| ( X210 = X212 )
| ( 5 != a(X212) )
| ( 10 != a(X210) ) )
& ! [X84: $int,X82: $int,X83: $int] :
( ( 10 != a(X82) )
| ( 5 != b(X83) )
| ( 7 != a(X84) )
| ( X83 = X84 )
| ( 2 != b(X84) )
| ( X82 = X84 )
| ~ $less(X82,X83)
| ( 4 != a(X83) )
| ( X82 = X83 )
| ~ $less(b(X82),3) )
& ! [X101: $int,X103: $int,X102: $int] :
( ( 8 != a(X102) )
| ( X101 = X103 )
| ~ $less(b(X103),3)
| ( X102 = X103 )
| ( 10 != a(X103) )
| ( X101 = X102 )
| ~ $less(X103,X101)
| ( 2 != a(X101) )
| ( 2 != b(X102) ) )
& ! [X67: $int,X66: $int] :
( ( X66 = X67 )
| ~ $less(b(X67),3)
| ~ $less(X67,X66)
| ( 8 != a(X66) )
| ( 10 != a(X67) ) )
& ! [X182: $int,X180: $int,X181: $int,X183: $int] :
( ( 7 != a(X181) )
| ( 5 != b(X183) )
| ( X180 = X183 )
| ( X180 = X181 )
| ~ $less(b(X182),3)
| ( X181 = X182 )
| ( X180 = X182 )
| ( X182 = X183 )
| ( 2 != b(X181) )
| ( 4 != a(X180) )
| ( 10 != a(X182) )
| ~ $less(X182,X180)
| ( X181 = X183 ) )
& ( z1 != z5 )
& ! [X129: $int,X127: $int,X128: $int] :
( ( X127 = X128 )
| ( 12 != a(X127) )
| ( 5 != b(X127) )
| ( 5 != a(X129) )
| ( 2 != b(X128) )
| ~ $less(X128,X127)
| ( X127 = X129 )
| ( X128 = X129 )
| ( 10 != a(X128) ) )
& ! [X196: $int,X195: $int,X194: $int,X193: $int] :
( ( X193 = X195 )
| ( 5 != a(X195) )
| ( 8 != a(X196) )
| ~ $less(b(X194),3)
| ( 10 != a(X194) )
| ( X194 = X195 )
| ( 2 != b(X193) )
| ( X193 = X196 )
| ~ $less(X194,X195)
| ( X193 = X194 )
| ( X194 = X196 )
| ( X195 = X196 ) )
& $less(z2,z1)
& ! [X93: $int,X91: $int,X92: $int] :
( ~ $less(X91,X93)
| ( X91 = X92 )
| ( X92 = X93 )
| ( X91 = X93 )
| ( 5 != b(X93) )
| ( 2 != b(X91) )
| ( 10 != a(X91) )
| ~ $less(b(X92),4)
| ( 12 != a(X93) )
| ( 7 != a(X92) ) )
& ! [X77: $int,X76: $int,X74: $int,X75: $int] :
( ( 5 != a(X76) )
| ( 2 != b(X77) )
| ( X74 = X76 )
| ~ $less(b(X75),3)
| ( 7 != a(X74) )
| ( X74 = X77 )
| ( X75 = X77 )
| ( 5 != b(X74) )
| ~ $less(X75,X74)
| ( X75 = X76 )
| ( X76 = X77 )
| ( 10 != a(X75) )
| ( X74 = X75 ) )
& ! [X156: $int,X158: $int,X157: $int] :
( ( 6 != a(X156) )
| ( X157 = X158 )
| ( 5 != b(X156) )
| ~ $less(b(X158),3)
| ~ $less(X158,X156)
| ( 6 != a(X157) )
| ( X156 = X157 )
| ( X156 = X158 )
| ( 10 != a(X158) ) )
& ! [X170: $int,X169: $int,X171: $int] :
( ( X169 = X171 )
| ( X169 = X170 )
| ( 2 != b(X171) )
| ( 2 != a(X170) )
| ( X170 = X171 )
| ~ $less(X171,X170)
| ( 5 != b(X170) )
| ( 10 != a(X171) )
| ( 4 != a(X169) ) )
& ( z2 != z3 )
& ! [X114: $int,X112: $int,X111: $int,X113: $int] :
( ( 10 != a(X114) )
| ~ $less(b(X112),4)
| ( X111 = X114 )
| ~ $less(X114,X113)
| ( 1 != a(X113) )
| ( 5 != b(X111) )
| ( 2 != b(X114) )
| ( X111 = X113 )
| ( X113 = X114 )
| ( 7 != a(X112) )
| ( X112 = X114 )
| ( X112 = X113 )
| ( X111 = X112 ) )
& ! [X209: $int,X207: $int,X208: $int] :
( ( 4 != a(X208) )
| ( 5 != a(X209) )
| ( 2 != b(X207) )
| ( X208 = X209 )
| ( 10 != a(X207) )
| ( X207 = X208 )
| ( X207 = X209 )
| ( 5 != b(X208) )
| ~ $less(X207,X208) )
& ( z1 != z3 )
& ! [X88: $int,X90: $int,X89: $int] :
( ~ $less(X90,X89)
| ( 2 != b(X90) )
| ( 5 != b(X89) )
| ( X88 = X90 )
| ( 10 != a(X90) )
| ( 1 != a(X89) )
| ( X89 = X90 )
| ( X88 = X89 )
| ( 5 != a(X88) ) )
& ! [X245: $int,X247: $int,X246: $int,X244: $int] :
( ~ $less(b(X247),3)
| ( X244 = X246 )
| ~ $less(X247,X245)
| ( 10 != a(X247) )
| ( X245 = X247 )
| ( X245 = X246 )
| ( X246 = X247 )
| ( 5 != a(X245) )
| ( 5 != b(X245) )
| ( X244 = X245 )
| ( 7 != a(X246) )
| ( X244 = X247 )
| ( 2 != b(X244) ) ) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
( ( 5 = b(z3) )
& $less(z2,z1)
& $less(b(z2),3)
& ( 2 = b(z1) )
& ( 5 = a(z1) )
& ( 5 = a(z3) )
& ( 2 = a(z4) )
& ( 10 = a(z2) )
& ! [X41: $int,X42: $int,X40: $int,X43: $int] :
( ( X41 = X42 )
| ( X40 = X41 )
| ~ $less(X40,X41)
| ( X42 = X43 )
| ( 2 != b(X43) )
| ( 5 != b(X41) )
| ( X41 = X43 )
| ( 5 != a(X42) )
| ( 5 != a(X41) )
| ( 10 != a(X40) )
| ~ $less(b(X40),3)
| ( X40 = X43 )
| ( 2 != b(X42) )
| ( X40 = X42 ) )
& ! [X93: $int,X91: $int,X92: $int] :
( ~ $less(X91,X93)
| ( X91 = X92 )
| ( X92 = X93 )
| ( X91 = X93 )
| ( 5 != b(X93) )
| ( 2 != b(X91) )
| ( 10 != a(X91) )
| ~ $less(b(X92),4)
| ( 12 != a(X93) )
| ( 7 != a(X92) ) )
& ! [X84: $int,X82: $int,X83: $int] :
( ( 10 != a(X82) )
| ( 5 != b(X83) )
| ( 7 != a(X84) )
| ( X83 = X84 )
| ( 2 != b(X84) )
| ( X82 = X84 )
| ~ $less(X82,X83)
| ( 4 != a(X83) )
| ( X82 = X83 )
| ~ $less(b(X82),3) )
& ! [X132: $int,X131: $int,X130: $int,X133: $int] :
( ( 2 != a(X131) )
| ( X130 = X132 )
| ( 10 != a(X133) )
| ( X130 = X133 )
| ( X132 = X133 )
| ( X131 = X132 )
| ( X131 = X133 )
| ~ $less(X133,X131)
| ( 5 != b(X130) )
| ( 7 != a(X132) )
| ( 2 != b(X133) )
| ~ $less(b(X132),4)
| ( X130 = X131 ) )
& ! [X77: $int,X76: $int,X74: $int,X75: $int] :
( ( 5 != a(X76) )
| ( 2 != b(X77) )
| ( X74 = X76 )
| ~ $less(b(X75),3)
| ( 7 != a(X74) )
| ( X74 = X77 )
| ( X75 = X77 )
| ( 5 != b(X74) )
| ~ $less(X75,X74)
| ( X75 = X76 )
| ( X76 = X77 )
| ( 10 != a(X75) )
| ( X74 = X75 ) )
& ! [X251: $int] :
( ~ $less(12,a(X251))
& ~ $less(a(X251),1) )
& ! [X100: $int,X99: $int,X98: $int] :
( ( 12 != a(X99) )
| ( 5 != b(X99) )
| ( 6 != a(X100) )
| ( X99 = X100 )
| ( X98 = X99 )
| ( 10 != a(X98) )
| ( X98 = X100 )
| ~ $less(X98,X99)
| ( 2 != b(X98) ) )
& ( z1 != z3 )
& ! [X168: $int,X167: $int,X166: $int] :
( ( 2 != b(X166) )
| ( 10 != a(X166) )
| ( X167 = X168 )
| ( 5 != a(X168) )
| ( 6 != a(X167) )
| ~ $less(X166,X168)
| ( 5 != b(X168) )
| ( X166 = X168 )
| ( X166 = X167 ) )
& ( z4 != z5 )
& ! [X231: $int,X234: $int,X232: $int,X233: $int] :
( ( X231 = X232 )
| ( 2 != a(X234) )
| ( X232 = X233 )
| ( X233 = X234 )
| ( 5 != b(X232) )
| ~ $less(X231,X234)
| ( 2 != b(X233) )
| ( 10 != a(X231) )
| ( X231 = X234 )
| ( 7 != a(X233) )
| ( X231 = X233 )
| ~ $less(b(X231),3)
| ( X232 = X234 ) )
& ! [X236: $int,X237: $int,X235: $int] :
( ( X235 = X237 )
| ( 6 != a(X237) )
| ( 1 != a(X235) )
| ( 2 != b(X236) )
| ( 5 != b(X235) )
| ( 10 != a(X236) )
| ( X236 = X237 )
| ( X235 = X236 )
| ~ $less(X236,X235) )
& ! [X67: $int,X66: $int] :
( ( X66 = X67 )
| ~ $less(b(X67),3)
| ~ $less(X67,X66)
| ( 8 != a(X66) )
| ( 10 != a(X67) ) )
& ! [X97: $int,X96: $int,X94: $int,X95: $int] :
( ( 5 != b(X97) )
| ~ $less(b(X96),3)
| ( X94 = X97 )
| ( 10 != a(X96) )
| ( X95 = X96 )
| ~ $less(X96,X95)
| ( X94 = X95 )
| ( X95 = X97 )
| ( X94 = X96 )
| ( 1 != a(X94) )
| ( X96 = X97 )
| ( 5 != a(X95) ) )
& ! [X138: $int,X139: $int,X137: $int] :
( ( 8 != a(X138) )
| ( X137 = X139 )
| ~ $less(X139,X137)
| ( 2 != b(X139) )
| ( X137 = X138 )
| ( X138 = X139 )
| ( 5 != a(X137) )
| ( 10 != a(X139) ) )
& ! [X156: $int,X158: $int,X157: $int] :
( ( 6 != a(X156) )
| ( X157 = X158 )
| ( 5 != b(X156) )
| ~ $less(b(X158),3)
| ~ $less(X158,X156)
| ( 6 != a(X157) )
| ( X156 = X157 )
| ( X156 = X158 )
| ( 10 != a(X158) ) )
& ! [X27: $int,X25: $int,X28: $int,X26: $int] :
( ( 5 != b(X25) )
| ( X27 = X28 )
| ( X25 = X26 )
| ( X26 = X28 )
| ( 7 != a(X28) )
| ~ $less(b(X26),4)
| ~ $less(b(X27),3)
| ( 3 != a(X26) )
| ( X25 = X27 )
| ( X25 = X28 )
| ( X26 = X27 )
| ( 10 != a(X27) )
| ~ $less(X27,X26)
| ( 2 != b(X28) ) )
& ! [X204: $int,X205: $int,X203: $int,X206: $int] :
( ( 5 != b(X203) )
| ( 2 != a(X206) )
| ~ $less(b(X205),3)
| ( X203 = X204 )
| ( X205 = X206 )
| ~ $less(X205,X204)
| ( X203 = X205 )
| ( X204 = X206 )
| ( X203 = X206 )
| ( X204 = X205 )
| ( 10 != a(X205) )
| ( 4 != a(X204) ) )
& ! [X160: $int,X159: $int,X161: $int,X162: $int] :
( ( 2 != b(X160) )
| ~ $less(X161,X159)
| ~ $less(b(X161),3)
| ( 1 != a(X159) )
| ( X161 = X162 )
| ( X160 = X162 )
| ( 10 != a(X161) )
| ( 7 != a(X160) )
| ( X159 = X161 )
| ( X159 = X160 )
| ( X160 = X161 )
| ( 5 != b(X162) )
| ( X159 = X162 ) )
& ! [X148: $int,X147: $int,X149: $int] :
( ( 2 != b(X148) )
| ( 10 != a(X148) )
| ( 7 != a(X149) )
| ( X148 = X149 )
| ( X147 = X149 )
| ( 5 != b(X147) )
| ( 4 != a(X147) )
| ~ $less(X148,X147)
| ( X147 = X148 ) )
& ! [X50: $int,X48: $int,X49: $int,X47: $int] :
( ( 10 != a(X47) )
| ( X47 = X49 )
| ( X48 = X50 )
| ~ $less(b(X49),4)
| ( 7 != a(X49) )
| ( 2 != b(X47) )
| ( 5 != b(X48) )
| ~ $less(b(X50),4)
| ~ $less(X47,X50)
| ( X49 = X50 )
| ( X47 = X50 )
| ( 3 != a(X50) )
| ( X47 = X48 )
| ( X48 = X49 ) )
& ( z3 != z5 )
& ! [X135: $int,X136: $int,X134: $int] :
( ( X134 = X136 )
| ( 5 != b(X136) )
| ( 10 != a(X134) )
| ( 4 != a(X135) )
| ( 2 != b(X134) )
| ( X135 = X136 )
| ( X134 = X135 )
| ( 6 != a(X136) )
| ~ $less(X134,X136) )
& ! [X217: $int,X218: $int,X219: $int] :
( ( 10 != a(X217) )
| ~ $less(X217,X218)
| ( X218 = X219 )
| ( 2 != b(X219) )
| ( X217 = X218 )
| ( X217 = X219 )
| ( 8 != a(X219) )
| ~ $less(b(X217),3)
| ( 12 != a(X218) ) )
& ! [X38: $int,X39: $int,X37: $int] :
( ( 8 != a(X37) )
| ( X37 = X38 )
| ( X38 = X39 )
| ( 12 != a(X38) )
| ( 10 != a(X39) )
| ( 2 != b(X39) )
| ~ $less(b(X37),4)
| ( X37 = X39 )
| ~ $less(X39,X38) )
& ! [X241: $int,X242: $int,X243: $int] :
( ( 6 != a(X241) )
| ( 5 != b(X242) )
| ( X242 = X243 )
| ( 7 != a(X242) )
| ~ $less(b(X243),3)
| ~ $less(X243,X242)
| ( X241 = X243 )
| ( 10 != a(X243) )
| ( X241 = X242 ) )
& ! [X101: $int,X103: $int,X102: $int] :
( ( 8 != a(X102) )
| ( X101 = X103 )
| ~ $less(b(X103),3)
| ( X102 = X103 )
| ( 10 != a(X103) )
| ( X101 = X102 )
| ~ $less(X103,X101)
| ( 2 != a(X101) )
| ( 2 != b(X102) ) )
& ! [X79: $int,X81: $int,X78: $int,X80: $int] :
( ( X78 = X79 )
| ( X78 = X80 )
| ( X79 = X81 )
| ( 8 != a(X80) )
| ( 10 != a(X79) )
| ( 5 != a(X78) )
| ~ $less(b(X79),3)
| ( 2 != a(X81) )
| ( X78 = X81 )
| ( X79 = X80 )
| ~ $less(X79,X78)
| ( X80 = X81 ) )
& ! [X30: $int,X32: $int,X31: $int,X29: $int] :
( ( X29 = X31 )
| ( X30 = X31 )
| ~ $less(X29,X31)
| ( X31 = X32 )
| ~ $less(b(X29),3)
| ( 10 != a(X29) )
| ( 5 != b(X30) )
| ( X29 = X32 )
| ( 7 != a(X32) )
| ( 2 != b(X32) )
| ( X29 = X30 )
| ( X30 = X32 )
| ( 12 != a(X31) ) )
& ! [X106: $int,X105: $int,X104: $int] :
( ( X105 = X106 )
| ( 2 != b(X104) )
| ( 5 != a(X105) )
| ( 10 != a(X104) )
| ( X104 = X106 )
| ( 5 != b(X105) )
| ~ $less(X104,X105)
| ( 7 != a(X106) )
| ( X104 = X105 ) )
& ! [X108: $int,X107: $int,X110: $int,X109: $int] :
( ( X107 = X110 )
| ( 5 != b(X107) )
| ~ $less(b(X109),4)
| ~ $less(X108,X110)
| ( 7 != a(X109) )
| ( X108 = X109 )
| ( X107 = X108 )
| ( 2 != b(X108) )
| ( 12 != a(X110) )
| ( X108 = X110 )
| ( 10 != a(X108) )
| ( X107 = X109 )
| ( X109 = X110 ) )
& ( z2 != z3 )
& ! [X129: $int,X127: $int,X128: $int] :
( ( X127 = X128 )
| ( 12 != a(X127) )
| ( 5 != b(X127) )
| ( 5 != a(X129) )
| ( 2 != b(X128) )
| ~ $less(X128,X127)
| ( X127 = X129 )
| ( X128 = X129 )
| ( 10 != a(X128) ) )
& ! [X20: $int,X19: $int,X18: $int] :
( ( X19 = X20 )
| ( 10 != a(X20) )
| ~ $less(b(X20),3)
| ~ $less(X20,X18)
| ( X18 = X20 )
| ( 2 != b(X19) )
| ~ $less(b(X18),4)
| ( 3 != a(X18) )
| ( 8 != a(X19) )
| ( X18 = X19 ) )
& ( z1 != z4 )
& ! [X245: $int,X247: $int,X246: $int,X244: $int] :
( ~ $less(b(X247),3)
| ( X244 = X246 )
| ~ $less(X247,X245)
| ( 10 != a(X247) )
| ( X245 = X247 )
| ( X245 = X246 )
| ( X246 = X247 )
| ( 5 != a(X245) )
| ( 5 != b(X245) )
| ( X244 = X245 )
| ( 7 != a(X246) )
| ( X244 = X247 )
| ( 2 != b(X244) ) )
& ! [X170: $int,X169: $int,X171: $int] :
( ( X169 = X171 )
| ( X169 = X170 )
| ( 2 != b(X171) )
| ( 2 != a(X170) )
| ( X170 = X171 )
| ~ $less(X171,X170)
| ( 5 != b(X170) )
| ( 10 != a(X171) )
| ( 4 != a(X169) ) )
& ! [X3: $int,X2: $int,X4: $int] :
( ( 7 != a(X2) )
| ~ $less(X3,X2)
| ( X3 = X4 )
| ~ $less(b(X3),3)
| ( 5 != b(X2) )
| ( 10 != a(X3) )
| ( X2 = X4 )
| ( X2 = X3 )
| ( 7 != a(X4) ) )
& ! [X154: $int,X153: $int,X155: $int] :
( ( 5 != a(X155) )
| ( 10 != a(X154) )
| ( 2 != b(X153) )
| ( 7 != a(X153) )
| ~ $less(b(X154),3)
| ( X153 = X154 )
| ~ $less(X154,X155)
| ( X153 = X155 )
| ( X154 = X155 )
| ( 5 != b(X155) ) )
& ! [X188: $int,X189: $int,X187: $int] :
( ( X187 = X189 )
| ~ $less(X189,X187)
| ~ $less(b(X189),3)
| ( 10 != a(X189) )
| ( X188 = X189 )
| ( 5 != b(X188) )
| ( X187 = X188 )
| ( 7 != a(X187) ) )
& ! [X34: $int,X33: $int,X35: $int,X36: $int] :
( ~ $less(b(X33),3)
| ( 5 != b(X36) )
| ( 5 != a(X36) )
| ( X35 = X36 )
| ( X33 = X35 )
| ( 2 != b(X35) )
| ( X34 = X36 )
| ( X33 = X36 )
| ( 10 != a(X33) )
| ( 6 != a(X34) )
| ~ $less(X33,X36)
| ( X34 = X35 )
| ( X33 = X34 ) )
& ( z2 != z4 )
& ! [X199: $int,X198: $int,X197: $int] :
( ( 2 != b(X199) )
| ( 6 != a(X197) )
| ( 5 != b(X198) )
| ( X197 = X198 )
| ~ $less(X199,X198)
| ( X197 = X199 )
| ( X198 = X199 )
| ( 10 != a(X199) )
| ( 4 != a(X198) ) )
& ! [X230: $int,X228: $int,X229: $int] :
( ( X228 = X229 )
| ( 10 != a(X230) )
| ( X228 = X230 )
| ( X229 = X230 )
| ( 5 != b(X229) )
| ( 2 != b(X230) )
| ( 5 != a(X229) )
| ( 4 != a(X228) )
| ~ $less(X230,X229) )
& ! [X175: $int,X176: $int] :
( ( 10 != a(X175) )
| ( X175 = X176 )
| ~ $less(X175,X176)
| ~ $less(b(X175),3)
| ( 9 != a(X176) ) )
& ! [X56: $int,X54: $int,X55: $int] :
( ( 6 != a(X55) )
| ( X55 = X56 )
| ( 10 != a(X56) )
| ( X54 = X55 )
| ( 8 != a(X54) )
| ( X54 = X56 )
| ~ $less(X56,X55)
| ~ $less(b(X56),3) )
& ! [X225: $int,X224: $int,X226: $int] :
( ( X224 = X225 )
| ( 5 != b(X225) )
| ( 7 != a(X226) )
| ( 2 != b(X224) )
| ( 1 != a(X225) )
| ( 10 != a(X224) )
| ~ $less(b(X226),4)
| ( X225 = X226 )
| ~ $less(X224,X225)
| ( X224 = X226 ) )
& ! [X85: $int,X86: $int,X87: $int] :
( ( X85 = X86 )
| ( 2 != b(X85) )
| ( 5 != b(X86) )
| ~ $less(b(X87),3)
| ~ $less(X87,X86)
| ( X85 = X87 )
| ( 10 != a(X87) )
| ( 12 != a(X86) )
| ( X86 = X87 )
| ( 7 != a(X85) ) )
& ! [X202: $int,X200: $int,X201: $int] :
( ~ $less(X200,X202)
| ( 5 != b(X202) )
| ( 10 != a(X200) )
| ( 6 != a(X202) )
| ( 5 != a(X201) )
| ( X200 = X202 )
| ( 2 != b(X200) )
| ( X201 = X202 )
| ( X200 = X201 ) )
& ! [X125: $int,X124: $int,X126: $int] :
( ( 10 != a(X126) )
| ( X124 = X126 )
| ( 2 != b(X126) )
| ~ $less(X126,X124)
| ( 7 != a(X124) )
| ( X124 = X125 )
| ( X125 = X126 )
| ( 5 != b(X124) )
| ( 4 != a(X125) ) )
& ! [X64: $int,X63: $int,X65: $int] :
( ( 5 != a(X63) )
| ( 10 != a(X65) )
| ( 5 != a(X64) )
| ( 5 != b(X64) )
| ( X63 = X64 )
| ~ $less(X65,X64)
| ( X63 = X65 )
| ( 2 != b(X65) )
| ( X64 = X65 ) )
& ! [X209: $int,X207: $int,X208: $int] :
( ( 4 != a(X208) )
| ( 5 != a(X209) )
| ( 2 != b(X207) )
| ( X208 = X209 )
| ( 10 != a(X207) )
| ( X207 = X208 )
| ( X207 = X209 )
| ( 5 != b(X208) )
| ~ $less(X207,X208) )
& ! [X143: $int,X140: $int,X141: $int,X142: $int] :
( ( X140 = X143 )
| ( X142 = X143 )
| ( X141 = X142 )
| ( X140 = X142 )
| ( 5 != b(X143) )
| ( 2 != b(X140) )
| ( 4 != a(X141) )
| ( X141 = X143 )
| ( X140 = X141 )
| ~ $less(X142,X141)
| ~ $less(b(X142),3)
| ( 10 != a(X142) ) )
& ! [X152: $int,X151: $int,X150: $int] :
( ( 1 != a(X150) )
| ( 2 != b(X152) )
| ( X151 = X152 )
| ( 5 != b(X150) )
| ~ $less(X151,X150)
| ~ $less(b(X151),3)
| ( X150 = X151 )
| ( 7 != a(X152) )
| ( 10 != a(X151) )
| ( X150 = X152 ) )
& ! [X88: $int,X90: $int,X89: $int] :
( ~ $less(X90,X89)
| ( 2 != b(X90) )
| ( 5 != b(X89) )
| ( X88 = X90 )
| ( 10 != a(X90) )
| ( 1 != a(X89) )
| ( X89 = X90 )
| ( X88 = X89 )
| ( 5 != a(X88) ) )
& ( z3 != z4 )
& ! [X174: $int,X173: $int,X172: $int] :
( ( X173 = X174 )
| ( 7 != a(X174) )
| ~ $less(b(X172),3)
| ( X172 = X173 )
| ( 6 != a(X173) )
| ( 5 != b(X173) )
| ( X172 = X174 )
| ~ $less(X172,X173)
| ( 10 != a(X172) ) )
& ! [X248: $int,X250: $int,X249: $int] :
( ( 10 != a(X248) )
| ( 1 != a(X250) )
| ~ $less(b(X249),4)
| ( 2 != b(X248) )
| ( X249 = X250 )
| ~ $less(X248,X250)
| ( X248 = X249 )
| ( X248 = X250 )
| ( 8 != a(X249) ) )
& ! [X12: $int,X13: $int,X14: $int] :
( ( 5 != b(X14) )
| ( X13 = X14 )
| ( 10 != a(X12) )
| ( 7 != a(X14) )
| ( 5 != a(X13) )
| ( X12 = X14 )
| ( 2 != b(X12) )
| ( X12 = X13 )
| ~ $less(X12,X14) )
& ! [X22: $int,X23: $int,X24: $int,X21: $int] :
( ( X23 = X24 )
| ( X22 = X23 )
| ~ $less(b(X23),3)
| ( X21 = X22 )
| ( 2 != a(X24) )
| ( X22 = X24 )
| ( 5 != b(X22) )
| ~ $less(X23,X21)
| ( X21 = X23 )
| ( 10 != a(X23) )
| ( X21 = X24 )
| ( 5 != a(X21) ) )
& ! [X71: $int,X72: $int,X73: $int] :
( ( 5 != a(X73) )
| ( 10 != a(X71) )
| ( X71 = X72 )
| ( X72 = X73 )
| ~ $less(X71,X73)
| ( 2 != b(X72) )
| ~ $less(b(X71),3)
| ( 8 != a(X72) )
| ( X71 = X73 ) )
& ! [X114: $int,X112: $int,X111: $int,X113: $int] :
( ( 10 != a(X114) )
| ~ $less(b(X112),4)
| ( X111 = X114 )
| ~ $less(X114,X113)
| ( 1 != a(X113) )
| ( 5 != b(X111) )
| ( 2 != b(X114) )
| ( X111 = X113 )
| ( X113 = X114 )
| ( 7 != a(X112) )
| ( X112 = X114 )
| ( X112 = X113 )
| ( X111 = X112 ) )
& ! [X57: $int,X59: $int,X58: $int] :
( ~ $less(b(X57),4)
| ( 5 != b(X59) )
| ( 2 != b(X58) )
| ( 10 != a(X58) )
| ( 7 != a(X57) )
| ( X58 = X59 )
| ( 2 != a(X59) )
| ~ $less(X58,X59)
| ( X57 = X59 )
| ( X57 = X58 ) )
& ! [X164: $int,X163: $int,X165: $int] :
( ( X164 = X165 )
| ( 2 != b(X164) )
| ( 10 != a(X164) )
| ~ $less(X164,X163)
| ( 2 != a(X163) )
| ( 5 != b(X163) )
| ( 5 != a(X165) )
| ( X163 = X165 )
| ( X163 = X164 ) )
& ! [X116: $int,X117: $int,X115: $int] :
( ( X115 = X117 )
| ( X116 = X117 )
| ( 10 != a(X117) )
| ( 4 != a(X116) )
| ( X115 = X116 )
| ( 5 != b(X115) )
| ( 2 != b(X117) )
| ~ $less(X117,X115)
| ( 12 != a(X115) ) )
& ! [X179: $int,X177: $int,X178: $int] :
( ( 10 != a(X179) )
| ( X177 = X178 )
| ~ $less(b(X179),3)
| ( 2 != b(X177) )
| ( X177 = X179 )
| ( 5 != a(X178) )
| ( X178 = X179 )
| ( 5 != b(X178) )
| ~ $less(X179,X178)
| ( 6 != a(X177) ) )
& ! [X146: $int,X144: $int,X145: $int] :
( ( X144 = X146 )
| ~ $less(b(X145),4)
| ( 10 != a(X146) )
| ( 2 != a(X144) )
| ( 8 != a(X145) )
| ~ $less(X146,X144)
| ( 2 != b(X146) )
| ( X144 = X145 )
| ( X145 = X146 ) )
& ! [X17: $int,X15: $int,X16: $int] :
( ( 2 != a(X16) )
| ~ $less(X15,X16)
| ( 5 != b(X16) )
| ~ $less(b(X15),3)
| ( X15 = X17 )
| ( X16 = X17 )
| ( X15 = X16 )
| ( 10 != a(X15) )
| ( 2 != b(X17) )
| ( 7 != a(X17) ) )
& ! [X118: $int,X120: $int,X119: $int] :
( ( 10 != a(X118) )
| ( 4 != a(X120) )
| ( X118 = X120 )
| ~ $less(X118,X120)
| ( 2 != b(X118) )
| ( X119 = X120 )
| ( 5 != b(X119) )
| ( X118 = X119 ) )
& ! [X227: $int] :
( ~ $less(5,b(X227))
& ~ $less(b(X227),1) )
& ! [X69: $int,X68: $int,X70: $int] :
( ( X68 = X69 )
| ( 1 != a(X69) )
| ( 2 != b(X70) )
| ( X68 = X70 )
| ( 10 != a(X68) )
| ~ $less(b(X68),3)
| ( X69 = X70 )
| ~ $less(X68,X69)
| ( 8 != a(X70) ) )
& ! [X196: $int,X195: $int,X194: $int,X193: $int] :
( ( X193 = X195 )
| ( 5 != a(X195) )
| ( 8 != a(X196) )
| ~ $less(b(X194),3)
| ( 10 != a(X194) )
| ( X194 = X195 )
| ( 2 != b(X193) )
| ( X193 = X196 )
| ~ $less(X194,X195)
| ( X193 = X194 )
| ( X194 = X196 )
| ( X195 = X196 ) )
& ! [X212: $int,X210: $int,X211: $int] :
( ( 5 != b(X211) )
| ( X211 = X212 )
| ( X210 = X211 )
| ( 2 != b(X210) )
| ~ $less(X210,X212)
| ( X210 = X212 )
| ( 5 != a(X212) )
| ( 10 != a(X210) ) )
& ( z1 != z5 )
& ! [X213: $int,X216: $int,X215: $int,X214: $int] :
( ( 5 != a(X213) )
| ~ $less(X214,X215)
| ( 5 != b(X215) )
| ( X213 = X214 )
| ( X214 = X216 )
| ( 10 != a(X214) )
| ( X213 = X216 )
| ~ $less(b(X214),3)
| ( X213 = X215 )
| ( X215 = X216 )
| ( 2 != b(X216) )
| ( 6 != a(X215) )
| ( X214 = X215 ) )
& ! [X62: $int,X61: $int,X60: $int] :
( ( 2 != b(X62) )
| ( X61 = X62 )
| ( X60 = X62 )
| ( 10 != a(X62) )
| ( 6 != a(X61) )
| ( 5 != b(X60) )
| ( X60 = X61 )
| ( 2 != a(X60) )
| ~ $less(X62,X60) )
& ! [X182: $int,X180: $int,X181: $int,X183: $int] :
( ( 7 != a(X181) )
| ( 5 != b(X183) )
| ( X180 = X183 )
| ( X180 = X181 )
| ~ $less(b(X182),3)
| ( X181 = X182 )
| ( X180 = X182 )
| ( X182 = X183 )
| ( 2 != b(X181) )
| ( 4 != a(X180) )
| ( 10 != a(X182) )
| ~ $less(X182,X180)
| ( X181 = X183 ) )
& ! [X9: $int,X11: $int,X10: $int,X8: $int] :
( ( X9 = X10 )
| ( X8 = X10 )
| ( 5 != b(X8) )
| ~ $less(X9,X11)
| ( X8 = X9 )
| ( X9 = X11 )
| ~ $less(b(X9),3)
| ( 10 != a(X9) )
| ( 2 != b(X10) )
| ( 5 != a(X11) )
| ( X8 = X11 )
| ( X10 = X11 ) )
& ! [X0: $int,X1: $int] :
( ( a(X0) != 10 )
| ( 10 != a(X1) )
| ( X0 = X1 ) )
& ! [X240: $int,X238: $int,X239: $int] :
( ( 6 != a(X239) )
| ( X239 = X240 )
| ~ $less(b(X238),3)
| ( X238 = X239 )
| ~ $less(X238,X239)
| ( 5 != b(X240) )
| ( 10 != a(X238) )
| ( X238 = X240 ) )
& ! [X223: $int,X220: $int,X221: $int,X222: $int] :
( ( X221 = X223 )
| ( X220 = X222 )
| ( X222 = X223 )
| ( 2 != b(X223) )
| ( 4 != a(X222) )
| ~ $less(b(X221),3)
| ( X220 = X221 )
| ( X220 = X223 )
| ( 10 != a(X221) )
| ~ $less(X221,X222)
| ( X221 = X222 )
| ( 8 != a(X220) ) )
& ! [X45: $int,X46: $int,X44: $int] :
( ( X44 = X45 )
| ~ $less(X46,X45)
| ( 10 != a(X46) )
| ( 2 != b(X44) )
| ~ $less(b(X46),3)
| ( 4 != a(X45) )
| ( X44 = X46 )
| ( 8 != a(X44) )
| ( X45 = X46 ) )
& ! [X52: $int,X51: $int,X53: $int] :
( ( 4 != a(X53) )
| ( 10 != a(X52) )
| ( 5 != b(X51) )
| ~ $less(X52,X51)
| ( X52 = X53 )
| ( X51 = X53 )
| ( 1 != a(X51) )
| ( 2 != b(X52) )
| ( X51 = X52 ) )
& $true
& ( z1 != z2 )
& ! [X5: $int,X7: $int,X6: $int] :
( ( 3 != a(X6) )
| ( X5 = X7 )
| ( 2 != b(X5) )
| ( X6 = X7 )
| ( X5 = X6 )
| ~ $less(b(X7),4)
| ( 10 != a(X5) )
| ~ $less(b(X6),4)
| ( 8 != a(X7) )
| ~ $less(X5,X6) )
& ! [X121: $int,X122: $int,X123: $int] :
( ( 10 != a(X122) )
| ( X122 = X123 )
| ~ $less(X122,X123)
| ( 7 != a(X123) )
| ( 8 != a(X121) )
| ( X121 = X122 )
| ( X121 = X123 )
| ~ $less(b(X122),3) )
& ! [X190: $int,X192: $int,X191: $int] :
( ( 5 != b(X191) )
| ~ $less(X190,X191)
| ( 4 != a(X192) )
| ( 4 != a(X191) )
| ( X190 = X192 )
| ( X190 = X191 )
| ( 10 != a(X190) )
| ( X191 = X192 )
| ( 2 != b(X190) ) )
& ( z2 != z5 )
& ! [X186: $int,X185: $int,X184: $int] :
( ( 2 != b(X186) )
| ( 8 != a(X184) )
| ( 10 != a(X186) )
| ~ $less(X186,X185)
| ( 4 != a(X185) )
| ( X184 = X186 )
| ( X184 = X185 )
| ( X185 = X186 ) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ( ( ! [X41: $int,X42: $int,X43: $int,X40: $int] :
~ ( $less(b(X40),3)
& ( X42 != X43 )
& $less(X40,X41)
& ( 5 = b(X41) )
& ( X41 != X42 )
& ( X41 != X43 )
& ( 2 = b(X43) )
& ( 5 = a(X42) )
& ( 10 = a(X40) )
& ( X40 != X43 )
& ( X40 != X41 )
& ( 5 = a(X41) )
& ( 2 = b(X42) )
& ( X40 != X42 ) )
& ! [X91: $int,X93: $int,X92: $int] :
~ ( ( X91 != X92 )
& $less(b(X92),4)
& ( 5 = b(X93) )
& ( 12 = a(X93) )
& ( X91 != X93 )
& ( 2 = b(X91) )
& $less(X91,X93)
& ( X92 != X93 )
& ( 10 = a(X91) )
& ( 7 = a(X92) ) )
& ! [X84: $int,X83: $int,X82: $int] :
~ ( ( 7 = a(X84) )
& ( 5 = b(X83) )
& $less(b(X82),3)
& ( X83 != X84 )
& ( 4 = a(X83) )
& ( 2 = b(X84) )
& ( 10 = a(X82) )
& ( X82 != X83 )
& ( X82 != X84 )
& $less(X82,X83) )
& ! [X133: $int,X132: $int,X130: $int,X131: $int] :
~ ( ( X132 != X133 )
& $less(X133,X131)
& ( 2 = a(X131) )
& ( 10 = a(X133) )
& $less(b(X132),4)
& ( 7 = a(X132) )
& ( X130 != X132 )
& ( X131 != X132 )
& ( 2 = b(X133) )
& ( X130 != X131 )
& ( 5 = b(X130) )
& ( X131 != X133 )
& ( X130 != X133 ) )
& ! [X75: $int,X74: $int,X76: $int,X77: $int] :
~ ( ( X74 != X76 )
& $less(b(X75),3)
& ( 5 = a(X76) )
& ( X76 != X77 )
& ( X74 != X75 )
& ( 5 = b(X74) )
& $less(X75,X74)
& ( X75 != X77 )
& ( X74 != X77 )
& ( 2 = b(X77) )
& ( 7 = a(X74) )
& ( X75 != X76 )
& ( 10 = a(X75) ) )
& ! [X251: $int] :
( ~ $less(12,a(X251))
& ~ $less(a(X251),1) )
& ! [X99: $int,X100: $int,X98: $int] :
~ ( ( 5 = b(X99) )
& ( X98 != X100 )
& ( X99 != X100 )
& $less(X98,X99)
& ( 6 = a(X100) )
& ( X98 != X99 )
& ( 10 = a(X98) )
& ( 2 = b(X98) )
& ( 12 = a(X99) ) )
& ( z1 != z3 )
& ! [X168: $int,X166: $int,X167: $int] :
~ ( ( 6 = a(X167) )
& ( X166 != X167 )
& ( X166 != X168 )
& ( 5 = a(X168) )
& ( 10 = a(X166) )
& ( X167 != X168 )
& ( 2 = b(X166) )
& $less(X166,X168)
& ( 5 = b(X168) ) )
& ( z4 != z5 )
& ! [X233: $int,X232: $int,X234: $int,X231: $int] :
~ ( ( 2 = a(X234) )
& ( 10 = a(X231) )
& ( X231 != X234 )
& ( X231 != X232 )
& ( 2 = b(X233) )
& ( 5 = b(X232) )
& ( X232 != X234 )
& ( 7 = a(X233) )
& $less(X231,X234)
& $less(b(X231),3)
& ( X232 != X233 )
& ( X233 != X234 )
& ( X231 != X233 ) )
& ! [X236: $int,X237: $int,X235: $int] :
~ ( ( X235 != X237 )
& ( 1 = a(X235) )
& ( 2 = b(X236) )
& ( 10 = a(X236) )
& ( 6 = a(X237) )
& ( 5 = b(X235) )
& ( X235 != X236 )
& $less(X236,X235)
& ( X236 != X237 ) )
& ! [X66: $int,X67: $int] :
~ ( $less(b(X67),3)
& ( X66 != X67 )
& ( 10 = a(X67) )
& ( 8 = a(X66) )
& $less(X67,X66) )
& ! [X97: $int,X95: $int,X94: $int,X96: $int] :
~ ( ( X96 != X97 )
& ( 1 = a(X94) )
& $less(X96,X95)
& ( X94 != X95 )
& ( X95 != X96 )
& ( X94 != X96 )
& ( 10 = a(X96) )
& ( 5 = b(X97) )
& ( X94 != X97 )
& ( 5 = a(X95) )
& $less(b(X96),3)
& ( X95 != X97 ) )
& ! [X139: $int,X138: $int,X137: $int] :
~ ( $less(X139,X137)
& ( 8 = a(X138) )
& ( 5 = a(X137) )
& ( X138 != X139 )
& ( 10 = a(X139) )
& ( X137 != X138 )
& ( 2 = b(X139) )
& ( X137 != X139 ) )
& ! [X158: $int,X157: $int,X156: $int] :
~ ( $less(X158,X156)
& ( X156 != X157 )
& ( X157 != X158 )
& $less(b(X158),3)
& ( X156 != X158 )
& ( 5 = b(X156) )
& ( 10 = a(X158) )
& ( 6 = a(X157) )
& ( 6 = a(X156) ) )
& ! [X26: $int,X28: $int,X25: $int,X27: $int] :
~ ( ( 7 = a(X28) )
& ( X26 != X27 )
& ( 2 = b(X28) )
& ( X25 != X28 )
& $less(X27,X26)
& ( 3 = a(X26) )
& ( 10 = a(X27) )
& ( X27 != X28 )
& $less(b(X27),3)
& ( X26 != X28 )
& ( X25 != X27 )
& ( X25 != X26 )
& ( 5 = b(X25) )
& $less(b(X26),4) )
& ! [X203: $int,X205: $int,X206: $int,X204: $int] :
~ ( ( X204 != X206 )
& ( X203 != X206 )
& ( 10 = a(X205) )
& ( 2 = a(X206) )
& ( X203 != X205 )
& $less(b(X205),3)
& $less(X205,X204)
& ( X203 != X204 )
& ( X205 != X206 )
& ( 5 = b(X203) )
& ( 4 = a(X204) )
& ( X204 != X205 ) )
& ! [X160: $int,X159: $int,X161: $int,X162: $int] :
~ ( $less(X161,X159)
& ( 5 = b(X162) )
& ( X159 != X162 )
& ( X160 != X162 )
& ( 2 = b(X160) )
& ( X159 != X161 )
& ( 10 = a(X161) )
& $less(b(X161),3)
& ( X159 != X160 )
& ( X160 != X161 )
& ( 1 = a(X159) )
& ( X161 != X162 )
& ( 7 = a(X160) ) )
& ! [X148: $int,X147: $int,X149: $int] :
~ ( ( 5 = b(X147) )
& ( 2 = b(X148) )
& ( 10 = a(X148) )
& ( X148 != X149 )
& ( X147 != X149 )
& ( 7 = a(X149) )
& ( 4 = a(X147) )
& ( X147 != X148 )
& $less(X148,X147) )
& ! [X47: $int,X49: $int,X48: $int,X50: $int] :
~ ( ( 10 = a(X47) )
& ( X47 != X50 )
& ( 7 = a(X49) )
& ( X48 != X49 )
& $less(X47,X50)
& ( 5 = b(X48) )
& ( 3 = a(X50) )
& ( X49 != X50 )
& $less(b(X49),4)
& ( X47 != X49 )
& ( 2 = b(X47) )
& ( X48 != X50 )
& ( X47 != X48 )
& $less(b(X50),4) )
& ( z3 != z5 )
& ! [X134: $int,X136: $int,X135: $int] :
~ ( ( 10 = a(X134) )
& ( X135 != X136 )
& ( 6 = a(X136) )
& ( X134 != X135 )
& $less(X134,X136)
& ( X134 != X136 )
& ( 2 = b(X134) )
& ( 4 = a(X135) )
& ( 5 = b(X136) ) )
& ! [X217: $int,X218: $int,X219: $int] :
~ ( ( 2 = b(X219) )
& ( 8 = a(X219) )
& ( 10 = a(X217) )
& ( 12 = a(X218) )
& $less(b(X217),3)
& ( X218 != X219 )
& ( X217 != X219 )
& ( X217 != X218 )
& $less(X217,X218) )
& ! [X37: $int,X39: $int,X38: $int] :
~ ( $less(X39,X38)
& ( X37 != X38 )
& ( X38 != X39 )
& ( 8 = a(X37) )
& ( X37 != X39 )
& ( 2 = b(X39) )
& $less(b(X37),4)
& ( 12 = a(X38) )
& ( 10 = a(X39) ) )
& ! [X242: $int,X243: $int,X241: $int] :
~ ( ( 5 = b(X242) )
& ( 6 = a(X241) )
& ( 10 = a(X243) )
& ( 7 = a(X242) )
& ( X241 != X242 )
& ( X241 != X243 )
& $less(b(X243),3)
& $less(X243,X242)
& ( X242 != X243 ) )
& ! [X101: $int,X102: $int,X103: $int] :
~ ( $less(X103,X101)
& ( 2 = a(X101) )
& ( 8 = a(X102) )
& ( X101 != X102 )
& $less(b(X103),3)
& ( 2 = b(X102) )
& ( X101 != X103 )
& ( 10 = a(X103) )
& ( X102 != X103 ) )
& ! [X79: $int,X80: $int,X81: $int,X78: $int] :
~ ( ( 2 = a(X81) )
& ( X78 != X80 )
& ( X79 != X81 )
& ( X80 != X81 )
& $less(X79,X78)
& ( X78 != X81 )
& ( 10 = a(X79) )
& ( X78 != X79 )
& $less(b(X79),3)
& ( 8 = a(X80) )
& ( 5 = a(X78) )
& ( X79 != X80 ) )
& ! [X31: $int,X32: $int,X29: $int,X30: $int] :
~ ( $less(X29,X31)
& ( X29 != X31 )
& ( 7 = a(X32) )
& ( X30 != X32 )
& ( 12 = a(X31) )
& ( X29 != X32 )
& ( 2 = b(X32) )
& ( X31 != X32 )
& ( 10 = a(X29) )
& ( X29 != X30 )
& $less(b(X29),3)
& ( 5 = b(X30) )
& ( X30 != X31 ) )
& ! [X106: $int,X105: $int,X104: $int] :
~ ( ( X105 != X106 )
& ( X104 != X106 )
& ( X104 != X105 )
& ( 5 = b(X105) )
& ( 10 = a(X104) )
& ( 2 = b(X104) )
& $less(X104,X105)
& ( 5 = a(X105) )
& ( 7 = a(X106) ) )
& ! [X109: $int,X107: $int,X110: $int,X108: $int] :
~ ( ( 12 = a(X110) )
& ( X107 != X110 )
& $less(b(X109),4)
& ( X107 != X108 )
& ( X109 != X110 )
& ( X108 != X110 )
& ( 2 = b(X108) )
& ( X107 != X109 )
& ( X108 != X109 )
& $less(X108,X110)
& ( 5 = b(X107) )
& ( 7 = a(X109) )
& ( 10 = a(X108) ) )
& ( z2 != z3 )
& ! [X127: $int,X128: $int,X129: $int] :
~ ( ( X128 != X129 )
& ( 2 = b(X128) )
& ( 10 = a(X128) )
& ( X127 != X129 )
& ( X127 != X128 )
& $less(X128,X127)
& ( 12 = a(X127) )
& ( 5 = a(X129) )
& ( 5 = b(X127) ) )
& ! [X19: $int,X18: $int,X20: $int] :
~ ( ( 10 = a(X20) )
& ( X18 != X20 )
& ( 2 = b(X19) )
& $less(b(X18),4)
& $less(X20,X18)
& ( 8 = a(X19) )
& ( 3 = a(X18) )
& ( X19 != X20 )
& $less(b(X20),3)
& ( X18 != X19 ) )
& ( z1 != z4 )
& ! [X247: $int,X244: $int,X245: $int,X246: $int] :
~ ( ( X244 != X246 )
& ( X245 != X246 )
& $less(X247,X245)
& ( 2 = b(X244) )
& ( X246 != X247 )
& ( X244 != X247 )
& ( 10 = a(X247) )
& ( 5 = a(X245) )
& ( X244 != X245 )
& ( 7 = a(X246) )
& $less(b(X247),3)
& ( X245 != X247 )
& ( 5 = b(X245) ) )
& ! [X169: $int,X170: $int,X171: $int] :
~ ( ( 2 = a(X170) )
& ( 4 = a(X169) )
& ( X170 != X171 )
& ( X169 != X171 )
& ( 5 = b(X170) )
& ( 2 = b(X171) )
& ( X169 != X170 )
& $less(X171,X170)
& ( 10 = a(X171) ) )
& ! [X3: $int,X2: $int,X4: $int] :
~ ( ( X3 != X4 )
& ( 10 = a(X3) )
& ( X2 != X4 )
& ( 5 = b(X2) )
& $less(b(X3),3)
& ( 7 = a(X4) )
& ( X2 != X3 )
& ( 7 = a(X2) )
& $less(X3,X2) )
& ! [X153: $int,X155: $int,X154: $int] :
~ ( ( X154 != X155 )
& ( X153 != X154 )
& $less(X154,X155)
& $less(b(X154),3)
& ( 5 = b(X155) )
& ( X153 != X155 )
& ( 5 = a(X155) )
& ( 2 = b(X153) )
& ( 10 = a(X154) )
& ( 7 = a(X153) ) )
& ! [X188: $int,X187: $int,X189: $int] :
~ ( $less(X189,X187)
& ( X188 != X189 )
& ( 10 = a(X189) )
& ( 7 = a(X187) )
& ( X187 != X189 )
& ( X187 != X188 )
& ( 5 = b(X188) )
& $less(b(X189),3) )
& ! [X36: $int,X35: $int,X34: $int,X33: $int] :
~ ( ( 5 = a(X36) )
& ( 2 = b(X35) )
& $less(X33,X36)
& ( X34 != X36 )
& ( 5 = b(X36) )
& ( X33 != X35 )
& ( X34 != X35 )
& $less(b(X33),3)
& ( X35 != X36 )
& ( 10 = a(X33) )
& ( X33 != X36 )
& ( 6 = a(X34) )
& ( X33 != X34 ) )
& ( z2 != z4 )
& ! [X197: $int,X198: $int,X199: $int] :
~ ( ( X197 != X198 )
& ( 4 = a(X198) )
& ( 5 = b(X198) )
& ( X197 != X199 )
& ( X198 != X199 )
& $less(X199,X198)
& ( 10 = a(X199) )
& ( 2 = b(X199) )
& ( 6 = a(X197) ) )
& ! [X230: $int,X229: $int,X228: $int] :
~ ( ( X228 != X230 )
& ( 4 = a(X228) )
& $less(X230,X229)
& ( 5 = a(X229) )
& ( 10 = a(X230) )
& ( 2 = b(X230) )
& ( X229 != X230 )
& ( 5 = b(X229) )
& ( X228 != X229 ) )
& ! [X176: $int,X175: $int] :
~ ( ( 10 = a(X175) )
& ( X175 != X176 )
& ( 9 = a(X176) )
& $less(b(X175),3)
& $less(X175,X176) )
& ! [X55: $int,X56: $int,X54: $int] :
~ ( ( 10 = a(X56) )
& ( X55 != X56 )
& ( 8 = a(X54) )
& ( 6 = a(X55) )
& ( X54 != X56 )
& ( X54 != X55 )
& $less(b(X56),3)
& $less(X56,X55) )
& ! [X224: $int,X225: $int,X226: $int] :
~ ( $less(b(X226),4)
& ( X225 != X226 )
& ( 7 = a(X226) )
& ( X224 != X225 )
& ( 5 = b(X225) )
& ( 2 = b(X224) )
& ( X224 != X226 )
& ( 1 = a(X225) )
& ( 10 = a(X224) )
& $less(X224,X225) )
& ! [X87: $int,X85: $int,X86: $int] :
~ ( ( 2 = b(X85) )
& ( X85 != X87 )
& $less(X87,X86)
& ( 12 = a(X86) )
& ( 7 = a(X85) )
& ( 5 = b(X86) )
& ( 10 = a(X87) )
& $less(b(X87),3)
& ( X86 != X87 )
& ( X85 != X86 ) )
& ! [X201: $int,X200: $int,X202: $int] :
~ ( ( 10 = a(X200) )
& ( 6 = a(X202) )
& $less(X200,X202)
& ( 5 = a(X201) )
& ( 5 = b(X202) )
& ( 2 = b(X200) )
& ( X200 != X202 )
& ( X200 != X201 )
& ( X201 != X202 ) )
& ! [X126: $int,X124: $int,X125: $int] :
~ ( ( X124 != X125 )
& ( 7 = a(X124) )
& $less(X126,X124)
& ( 5 = b(X124) )
& ( 10 = a(X126) )
& ( 2 = b(X126) )
& ( X125 != X126 )
& ( X124 != X126 )
& ( 4 = a(X125) ) )
& ! [X64: $int,X63: $int,X65: $int] :
~ ( $less(X65,X64)
& ( X63 != X65 )
& ( 2 = b(X65) )
& ( 5 = a(X63) )
& ( 10 = a(X65) )
& ( X63 != X64 )
& ( 5 = b(X64) )
& ( 5 = a(X64) )
& ( X64 != X65 ) )
& ! [X208: $int,X209: $int,X207: $int] :
~ ( ( 5 = b(X208) )
& $less(X207,X208)
& ( 5 = a(X209) )
& ( X207 != X208 )
& ( 10 = a(X207) )
& ( X207 != X209 )
& ( 2 = b(X207) )
& ( X208 != X209 )
& ( 4 = a(X208) ) )
& ! [X143: $int,X142: $int,X141: $int,X140: $int] :
~ ( ( X141 != X143 )
& ( 10 = a(X142) )
& $less(b(X142),3)
& ( X140 != X141 )
& $less(X142,X141)
& ( 5 = b(X143) )
& ( X141 != X142 )
& ( X142 != X143 )
& ( 2 = b(X140) )
& ( X140 != X142 )
& ( 4 = a(X141) )
& ( X140 != X143 ) )
& ! [X150: $int,X151: $int,X152: $int] :
~ ( ( 10 = a(X151) )
& $less(X151,X150)
& ( 5 = b(X150) )
& ( 7 = a(X152) )
& ( X150 != X151 )
& $less(b(X151),3)
& ( X151 != X152 )
& ( 2 = b(X152) )
& ( 1 = a(X150) )
& ( X150 != X152 ) )
& ! [X90: $int,X88: $int,X89: $int] :
~ ( ( X88 != X90 )
& ( 5 = a(X88) )
& ( X88 != X89 )
& ( 2 = b(X90) )
& ( X89 != X90 )
& ( 5 = b(X89) )
& ( 10 = a(X90) )
& ( 1 = a(X89) )
& $less(X90,X89) )
& ( z3 != z4 )
& ! [X173: $int,X174: $int,X172: $int] :
~ ( ( X173 != X174 )
& ( 10 = a(X172) )
& ( 5 = b(X173) )
& ( X172 != X173 )
& ( 6 = a(X173) )
& $less(b(X172),3)
& ( 7 = a(X174) )
& ( X172 != X174 )
& $less(X172,X173) )
& ! [X249: $int,X250: $int,X248: $int] :
~ ( ( X248 != X249 )
& $less(X248,X250)
& ( 8 = a(X249) )
& ( 1 = a(X250) )
& ( X248 != X250 )
& ( 2 = b(X248) )
& ( 10 = a(X248) )
& ( X249 != X250 )
& $less(b(X249),4) )
& ! [X13: $int,X14: $int,X12: $int] :
~ ( $less(X12,X14)
& ( 5 = b(X14) )
& ( 2 = b(X12) )
& ( X12 != X13 )
& ( 5 = a(X13) )
& ( 10 = a(X12) )
& ( 7 = a(X14) )
& ( X12 != X14 )
& ( X13 != X14 ) )
& ! [X21: $int,X24: $int,X23: $int,X22: $int] :
~ ( ( 5 = a(X21) )
& ( 10 = a(X23) )
& $less(X23,X21)
& ( X22 != X23 )
& ( X21 != X23 )
& ( 2 = a(X24) )
& ( X21 != X22 )
& ( X23 != X24 )
& ( X21 != X24 )
& ( 5 = b(X22) )
& $less(b(X23),3)
& ( X22 != X24 ) )
& ! [X73: $int,X71: $int,X72: $int] :
~ ( ( 10 = a(X71) )
& ( X71 != X73 )
& ( X71 != X72 )
& ( 2 = b(X72) )
& $less(b(X71),3)
& ( 8 = a(X72) )
& $less(X71,X73)
& ( X72 != X73 )
& ( 5 = a(X73) ) )
& ! [X113: $int,X114: $int,X111: $int,X112: $int] :
~ ( ( 7 = a(X112) )
& ( 2 = b(X114) )
& ( 1 = a(X113) )
& ( X113 != X114 )
& ( X111 != X114 )
& ( 5 = b(X111) )
& $less(X114,X113)
& ( X112 != X114 )
& ( X111 != X112 )
& ( 10 = a(X114) )
& $less(b(X112),4)
& ( X111 != X113 )
& ( X112 != X113 ) )
& ! [X57: $int,X58: $int,X59: $int] :
~ ( ( 2 = b(X58) )
& ( 2 = a(X59) )
& $less(X58,X59)
& ( X57 != X59 )
& ( X57 != X58 )
& ( 10 = a(X58) )
& $less(b(X57),4)
& ( X58 != X59 )
& ( 5 = b(X59) )
& ( 7 = a(X57) ) )
& ! [X165: $int,X164: $int,X163: $int] :
~ ( ( 5 = b(X163) )
& ( X164 != X165 )
& ( X163 != X164 )
& ( 5 = a(X165) )
& ( 10 = a(X164) )
& ( 2 = a(X163) )
& $less(X164,X163)
& ( X163 != X165 )
& ( 2 = b(X164) ) )
& ! [X115: $int,X117: $int,X116: $int] :
~ ( ( 10 = a(X117) )
& ( 2 = b(X117) )
& ( X116 != X117 )
& ( X115 != X117 )
& ( 5 = b(X115) )
& $less(X117,X115)
& ( X115 != X116 )
& ( 12 = a(X115) )
& ( 4 = a(X116) ) )
& ! [X177: $int,X178: $int,X179: $int] :
~ ( $less(b(X179),3)
& ( 5 = b(X178) )
& ( X178 != X179 )
& ( X177 != X178 )
& ( 6 = a(X177) )
& $less(X179,X178)
& ( 5 = a(X178) )
& ( X177 != X179 )
& ( 10 = a(X179) )
& ( 2 = b(X177) ) )
& ! [X146: $int,X144: $int,X145: $int] :
~ ( ( 10 = a(X146) )
& $less(X146,X144)
& ( 8 = a(X145) )
& ( 2 = b(X146) )
& ( X144 != X145 )
& ( X144 != X146 )
& $less(b(X145),4)
& ( 2 = a(X144) )
& ( X145 != X146 ) )
& ! [X15: $int,X17: $int,X16: $int] :
~ ( ( 2 = a(X16) )
& ( X15 != X16 )
& ( 7 = a(X17) )
& ( 2 = b(X17) )
& $less(X15,X16)
& ( 5 = b(X16) )
& ( X15 != X17 )
& ( 10 = a(X15) )
& $less(b(X15),3)
& ( X16 != X17 ) )
& ! [X119: $int,X120: $int,X118: $int] :
~ ( ( X118 != X119 )
& ( X119 != X120 )
& ( 5 = b(X119) )
& $less(X118,X120)
& ( X118 != X120 )
& ( 2 = b(X118) )
& ( 4 = a(X120) )
& ( 10 = a(X118) ) )
& ! [X227: $int] :
( ~ $less(5,b(X227))
& ~ $less(b(X227),1) )
& ! [X68: $int,X69: $int,X70: $int] :
~ ( ( 1 = a(X69) )
& ( 10 = a(X68) )
& ( X68 != X69 )
& ( X68 != X70 )
& $less(b(X68),3)
& $less(X68,X69)
& ( X69 != X70 )
& ( 8 = a(X70) )
& ( 2 = b(X70) ) )
& ! [X195: $int,X196: $int,X193: $int,X194: $int] :
~ ( ( 10 = a(X194) )
& ( X193 != X195 )
& ( 2 = b(X193) )
& $less(X194,X195)
& ( 5 = a(X195) )
& ( 8 = a(X196) )
& $less(b(X194),3)
& ( X193 != X194 )
& ( X194 != X195 )
& ( X195 != X196 )
& ( X194 != X196 )
& ( X193 != X196 ) )
& ! [X210: $int,X212: $int,X211: $int] :
~ ( ( X210 != X212 )
& ( 5 = b(X211) )
& ( 5 = a(X212) )
& ( X211 != X212 )
& ( 10 = a(X210) )
& ( 2 = b(X210) )
& $less(X210,X212)
& ( X210 != X211 ) )
& ( z1 != z5 )
& ! [X215: $int,X214: $int,X213: $int,X216: $int] :
~ ( ( 5 = a(X213) )
& ( 2 = b(X216) )
& ( X213 != X215 )
& $less(X214,X215)
& ( 10 = a(X214) )
& ( 5 = b(X215) )
& $less(b(X214),3)
& ( X215 != X216 )
& ( X213 != X216 )
& ( X214 != X215 )
& ( X213 != X214 )
& ( 6 = a(X215) )
& ( X214 != X216 ) )
& ! [X62: $int,X61: $int,X60: $int] :
~ ( ( 5 = b(X60) )
& $less(X62,X60)
& ( 2 = a(X60) )
& ( 6 = a(X61) )
& ( X61 != X62 )
& ( 10 = a(X62) )
& ( X60 != X61 )
& ( X60 != X62 )
& ( 2 = b(X62) ) )
& ! [X183: $int,X180: $int,X182: $int,X181: $int] :
~ ( ( X181 != X182 )
& $less(X182,X180)
& ( X180 != X182 )
& ( X180 != X183 )
& ( 7 = a(X181) )
& ( 5 = b(X183) )
& ( X180 != X181 )
& ( 4 = a(X180) )
& ( X182 != X183 )
& ( X181 != X183 )
& ( 2 = b(X181) )
& $less(b(X182),3)
& ( 10 = a(X182) ) )
& ! [X10: $int,X8: $int,X11: $int,X9: $int] :
~ ( ( 5 = b(X8) )
& ( X9 != X11 )
& ( X8 != X9 )
& $less(X9,X11)
& ( 10 = a(X9) )
& $less(b(X9),3)
& ( X8 != X11 )
& ( 2 = b(X10) )
& ( X9 != X10 )
& ( X10 != X11 )
& ( X8 != X10 )
& ( 5 = a(X11) ) )
& ! [X1: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& ( a(X0) = 10 )
& ( X0 != X1 ) )
& ! [X239: $int,X240: $int,X238: $int] :
~ ( ( X238 != X240 )
& ( 10 = a(X238) )
& ( X239 != X240 )
& $less(b(X238),3)
& ( 5 = b(X240) )
& $less(X238,X239)
& ( 6 = a(X239) )
& ( X238 != X239 ) )
& ! [X223: $int,X221: $int,X222: $int,X220: $int] :
~ ( ( X220 != X221 )
& ( X220 != X223 )
& ( 4 = a(X222) )
& ( X221 != X223 )
& ( X222 != X223 )
& ( X220 != X222 )
& ( X221 != X222 )
& ( 8 = a(X220) )
& $less(b(X221),3)
& ( 2 = b(X223) )
& ( 10 = a(X221) )
& $less(X221,X222) )
& ! [X44: $int,X45: $int,X46: $int] :
~ ( ( X44 != X46 )
& $less(b(X46),3)
& $less(X46,X45)
& ( X45 != X46 )
& ( 8 = a(X44) )
& ( X44 != X45 )
& ( 2 = b(X44) )
& ( 10 = a(X46) )
& ( 4 = a(X45) ) )
& ! [X52: $int,X51: $int,X53: $int] :
~ ( ( X52 != X53 )
& ( X51 != X52 )
& ( 1 = a(X51) )
& ( 5 = b(X51) )
& ( 4 = a(X53) )
& $less(X52,X51)
& ( X51 != X53 )
& ( 10 = a(X52) )
& ( 2 = b(X52) ) )
& $true
& ( z1 != z2 )
& ! [X7: $int,X6: $int,X5: $int] :
~ ( ( 2 = b(X5) )
& ( X5 != X6 )
& ( X5 != X7 )
& ( 3 = a(X6) )
& $less(b(X6),4)
& $less(b(X7),4)
& ( 8 = a(X7) )
& $less(X5,X6)
& ( 10 = a(X5) )
& ( X6 != X7 ) )
& ! [X123: $int,X122: $int,X121: $int] :
~ ( ( 8 = a(X121) )
& $less(b(X122),3)
& ( X121 != X122 )
& ( X121 != X123 )
& ( 7 = a(X123) )
& ( 10 = a(X122) )
& $less(X122,X123)
& ( X122 != X123 ) )
& ! [X190: $int,X192: $int,X191: $int] :
~ ( ( 4 = a(X192) )
& ( X191 != X192 )
& ( 5 = b(X191) )
& $less(X190,X191)
& ( X190 != X192 )
& ( 4 = a(X191) )
& ( 10 = a(X190) )
& ( 2 = b(X190) )
& ( X190 != X191 ) )
& ( z2 != z5 )
& ! [X185: $int,X186: $int,X184: $int] :
~ ( ( 8 = a(X184) )
& ( 2 = b(X186) )
& ( X184 != X186 )
& ( X184 != X185 )
& $less(X186,X185)
& ( X185 != X186 )
& ( 10 = a(X186) )
& ( 4 = a(X185) ) ) )
=> ~ ( ( 5 = b(z3) )
& $less(z2,z1)
& $less(b(z2),3)
& ( 2 = b(z1) )
& ( 5 = a(z1) )
& ( 5 = a(z3) )
& ( 2 = a(z4) )
& ( 10 = a(z2) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ( ! [X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 10 )
& ( 10 = a(X1) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 7 )
& ( 7 = a(X2) )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ( z3 != z4 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X0),4)
& ( a(X0) = 3 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& $less(b(X2),4)
& ( 10 = a(X1) )
& ( b(X1) = 2 )
& ( 8 = a(X2) ) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X3 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& $less(X1,X0)
& ( X2 != X3 )
& ( 5 = b(X2) )
& ( X1 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& $less(b(X1),3) )
& ( z1 != z2 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& ( 10 = a(X1) )
& ( 5 = a(X2) )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( X0 != X1 )
& ( 10 = a(X1) )
& ( 7 = a(X2) )
& $less(X1,X0)
& ( b(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( a(X0) = 3 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( X0 != X2 )
& ( 8 = a(X2) )
& $less(b(X0),4)
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X3 )
& ( X2 != X3 )
& ( 5 = b(X2) )
& ( X0 != X2 )
& ( X1 != X3 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( X1 != X2 ) )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X2 )
& ( 5 = b(X3) )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(b(X0),4)
& $less(X1,X0)
& ( X0 != X3 )
& ( b(X2) = 2 )
& ( 7 = a(X2) )
& ( X1 != X2 )
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( X1 != X3 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( X1 != X3 )
& ( X2 != X3 )
& ( 5 = b(X3) ) )
& ! [X1: $int,X2: $int,X3: $int,X0: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X2 != X3 )
& ( X0 != X1 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& $less(X1,X0)
& ( 2 = b(X3) ) )
& ( z1 != z4 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( 8 = a(X2) )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( 2 = b(X3) )
& ( X2 != X3 )
& $less(b(X1),3)
& ( 10 = a(X1) )
& $less(X1,X0)
& ( 5 = a(X2) )
& ( b(X0) = 5 )
& ( X1 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 4 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( b(X2) = 2 )
& $less(b(X1),3) )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& $less(b(X0),4)
& ( X0 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( X2 != X3 )
& ( 7 = a(X2) )
& ( 5 = b(X3) )
& ( a(X0) = 3 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( X1 != X2 )
& ( 1 = a(X0) )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( b(X0) = 5 ) )
& ( z1 != z5 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( 7 = a(X2) )
& ( X0 != X2 )
& $less(X1,X0)
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& $less(b(X2),4) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( 10 = a(X1) )
& ( 6 = a(X2) )
& ( a(X0) = 2 )
& ( X1 != X2 ) )
& ( z2 != z5 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( 5 = a(X2) )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X0) = 8 )
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( 1 = a(X0) )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& $less(X1,X0)
& $less(b(X1),3)
& ( 8 = a(X2) ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( 8 = a(X2) )
& ( X0 != X2 )
& $less(b(X1),3) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( 5 = a(X2) )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( X2 != X3 )
& ( 2 = b(X3) )
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X3 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( 2 = a(X3) )
& ( 8 = a(X2) )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& ( X0 != X2 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( b(X2) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( 1 = a(X0) )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( 5 = a(X2) )
& ( X0 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 ) )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X1 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( 5 = b(X2) )
& $less(b(X1),3)
& $less(X1,X0)
& ( 1 = a(X3) )
& ( X2 != X3 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 12 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( 6 = a(X2) )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( b(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X0) = 2 )
& ( 8 = a(X2) )
& $less(X1,X0)
& ( 10 = a(X1) )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( 7 = a(X2) )
& $less(X1,X0) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 12 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X3 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& $less(X1,X0)
& $less(b(X2),4)
& ( 5 = b(X3) )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X2 != X3 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( $less(b(X2),4)
& ( X0 != X2 )
& ( 5 = b(X3) )
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( 1 = a(X0) )
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( X2 != X3 )
& ( X1 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& $less(X1,X0) )
& ( z2 != z4 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 4 )
& ( 5 = b(X2) )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& $less(X1,X0)
& ( X0 != X2 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( 8 = a(X2) ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 4 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( b(X1) = 2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 5 = a(X2) )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X0) = 12 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ( z4 != z5 )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X2 != X3 )
& $less(b(X2),4)
& ( 5 = b(X3) )
& ( a(X0) = 2 )
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X3 )
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( 8 = a(X2) ) )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X3 )
& ( 2 = b(X3) )
& ( X0 != X3 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X2 != X3 )
& ( 5 = b(X2) ) )
& ( z3 != z5 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( a(X0) = 2 )
& $less(X1,X0)
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( 8 = a(X2) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( 7 = a(X2) )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( 7 = a(X2) )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( 7 = a(X2) )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 5 )
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& ( 6 = a(X2) ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( $less(b(X1),3)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( 7 = a(X2) )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X2 != X3 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( 1 = a(X0) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& ( 10 = a(X1) )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( 5 = a(X2) )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( 6 = a(X2) )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( 10 = a(X1) )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X0) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( 7 = a(X2) )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& $less(X1,X0)
& ( X0 != X1 ) )
& ( z1 != z3 )
& ! [X1: $int,X0: $int] :
~ ( ( a(X0) = 9 )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( 6 = a(X2) )
& ( X1 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X1 )
& ( 10 = a(X1) )
& ( a(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( b(X2) = 2 )
& ( 7 = a(X2) )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( 5 = b(X3) )
& ( 10 = a(X1) )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( 8 = a(X2) )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( 10 = a(X1) ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X1 )
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( a(X2) = 4 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( X0 != X3 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( 8 = a(X2) )
& ( 10 = a(X1) ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( 6 = a(X2) )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( b(X1) = 2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 6 )
& ( 5 = a(X2) )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( 10 = a(X1) )
& ( 5 = b(X2) )
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X1 != X2 )
& ( 2 = a(X3) )
& ( X1 != X3 )
& ( X0 != X2 )
& ( X0 != X3 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& $less(X1,X0)
& ( 5 = a(X2) )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( b(X1) = 2 ) )
& ( z2 != z3 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( 5 = b(X2) )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( 5 = a(X2) )
& ( X1 != X3 )
& ( a(X0) = 6 )
& ( 2 = b(X3) )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X1),3)
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( X1 != X3 )
& $less(X1,X0)
& ( 8 = a(X2) )
& ( X2 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X3 )
& ( a(X0) = 4 )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( 2 = b(X3) )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& $less(X1,X0)
& $less(b(X2),4)
& ( X0 != X1 )
& ( 7 = a(X2) )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( 1 = a(X0) )
& ( b(X0) = 5 )
& ( X0 != X2 ) )
& ! [X0: $int] :
( ~ $less(5,b(X0))
& ~ $less(b(X0),1) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 4 )
& ( b(X1) = 2 ) )
& $true
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X0 != X3 )
& ( b(X2) = 2 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( a(X0) = 2 )
& ( X0 != X1 )
& ( 7 = a(X2) )
& ( X2 != X3 )
& ( X1 != X2 )
& ( 5 = b(X3) )
& ( X1 != X3 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( 6 = a(X2) )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( 1 = a(X0) )
& ( 10 = a(X1) )
& ( b(X1) = 2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 5 = b(X2) )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 6 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 7 )
& $less(b(X1),3)
& ( 6 = a(X2) )
& ( X0 != X2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( X0 != X1 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X2 != X3 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( 2 = b(X3) )
& ( X1 != X3 )
& ( 7 = a(X2) ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& $less(b(X2),4)
& ( X1 != X2 )
& ( 1 = a(X0) )
& ( 8 = a(X2) )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ! [X0: $int] :
( ~ $less(12,a(X0))
& ~ $less(a(X0),1) ) )
=> ~ ( ( 5 = b(z3) )
& $less(z2,z1)
& $less(b(z2),3)
& ( 2 = b(z1) )
& ( 5 = a(z1) )
& ( 5 = a(z3) )
& ( 2 = a(z4) )
& ( 10 = a(z2) ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ! [X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 10 )
& ( 10 = a(X1) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 7 )
& ( 7 = a(X2) )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ( z3 != z4 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X0),4)
& ( a(X0) = 3 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& $less(b(X2),4)
& ( 10 = a(X1) )
& ( b(X1) = 2 )
& ( 8 = a(X2) ) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X3 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& $less(X1,X0)
& ( X2 != X3 )
& ( 5 = b(X2) )
& ( X1 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& $less(b(X1),3) )
& ( z1 != z2 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& ( 10 = a(X1) )
& ( 5 = a(X2) )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( X0 != X1 )
& ( 10 = a(X1) )
& ( 7 = a(X2) )
& $less(X1,X0)
& ( b(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( a(X0) = 3 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( X0 != X2 )
& ( 8 = a(X2) )
& $less(b(X0),4)
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X3 )
& ( X2 != X3 )
& ( 5 = b(X2) )
& ( X0 != X2 )
& ( X1 != X3 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( X1 != X2 ) )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X2 )
& ( 5 = b(X3) )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(b(X0),4)
& $less(X1,X0)
& ( X0 != X3 )
& ( b(X2) = 2 )
& ( 7 = a(X2) )
& ( X1 != X2 )
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( X1 != X3 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( X1 != X3 )
& ( X2 != X3 )
& ( 5 = b(X3) ) )
& ! [X1: $int,X2: $int,X3: $int,X0: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X2 != X3 )
& ( X0 != X1 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& $less(X1,X0)
& ( 2 = b(X3) ) )
& ( z1 != z4 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( 8 = a(X2) )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( 2 = b(X3) )
& ( X2 != X3 )
& $less(b(X1),3)
& ( 10 = a(X1) )
& $less(X1,X0)
& ( 5 = a(X2) )
& ( b(X0) = 5 )
& ( X1 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 4 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( b(X2) = 2 )
& $less(b(X1),3) )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& $less(b(X0),4)
& ( X0 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( X2 != X3 )
& ( 7 = a(X2) )
& ( 5 = b(X3) )
& ( a(X0) = 3 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( X1 != X2 )
& ( 1 = a(X0) )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( b(X0) = 5 ) )
& ( z1 != z5 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( 7 = a(X2) )
& ( X0 != X2 )
& $less(X1,X0)
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& $less(b(X2),4) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( 10 = a(X1) )
& ( 6 = a(X2) )
& ( a(X0) = 2 )
& ( X1 != X2 ) )
& ( z2 != z5 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( 5 = a(X2) )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X0) = 8 )
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( 1 = a(X0) )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& $less(X1,X0)
& $less(b(X1),3)
& ( 8 = a(X2) ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( 8 = a(X2) )
& ( X0 != X2 )
& $less(b(X1),3) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( 5 = a(X2) )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( X2 != X3 )
& ( 2 = b(X3) )
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X3 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( 2 = a(X3) )
& ( 8 = a(X2) )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& ( X0 != X2 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( b(X2) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( 1 = a(X0) )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( 5 = a(X2) )
& ( X0 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 ) )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X1 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( 5 = b(X2) )
& $less(b(X1),3)
& $less(X1,X0)
& ( 1 = a(X3) )
& ( X2 != X3 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 12 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( 6 = a(X2) )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( b(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X0) = 2 )
& ( 8 = a(X2) )
& $less(X1,X0)
& ( 10 = a(X1) )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( 7 = a(X2) )
& $less(X1,X0) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 12 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X3 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& $less(X1,X0)
& $less(b(X2),4)
& ( 5 = b(X3) )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X2 != X3 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( $less(b(X2),4)
& ( X0 != X2 )
& ( 5 = b(X3) )
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( 1 = a(X0) )
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( X2 != X3 )
& ( X1 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& $less(X1,X0) )
& ( z2 != z4 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 4 )
& ( 5 = b(X2) )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& $less(X1,X0)
& ( X0 != X2 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( 8 = a(X2) ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 4 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( b(X1) = 2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 5 = a(X2) )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X0) = 12 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ( z4 != z5 )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X2 != X3 )
& $less(b(X2),4)
& ( 5 = b(X3) )
& ( a(X0) = 2 )
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X3 )
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( 8 = a(X2) ) )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X3 )
& ( 2 = b(X3) )
& ( X0 != X3 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X2 != X3 )
& ( 5 = b(X2) ) )
& ( z3 != z5 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( a(X0) = 2 )
& $less(X1,X0)
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( 8 = a(X2) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( 7 = a(X2) )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( 7 = a(X2) )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( 7 = a(X2) )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 5 )
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& ( 6 = a(X2) ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( $less(b(X1),3)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( 7 = a(X2) )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X2 != X3 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( 1 = a(X0) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& ( 10 = a(X1) )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( 5 = a(X2) )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( 6 = a(X2) )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( 10 = a(X1) )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X0) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( 7 = a(X2) )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& $less(X1,X0)
& ( X0 != X1 ) )
& ( z1 != z3 )
& ! [X1: $int,X0: $int] :
~ ( ( a(X0) = 9 )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( 6 = a(X2) )
& ( X1 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X1 )
& ( 10 = a(X1) )
& ( a(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( b(X2) = 2 )
& ( 7 = a(X2) )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( 5 = b(X3) )
& ( 10 = a(X1) )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( 8 = a(X2) )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( 10 = a(X1) ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X1 )
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( a(X2) = 4 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( X0 != X3 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( 8 = a(X2) )
& ( 10 = a(X1) ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( 6 = a(X2) )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( b(X1) = 2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 6 )
& ( 5 = a(X2) )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( 10 = a(X1) )
& ( 5 = b(X2) )
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X1 != X2 )
& ( 2 = a(X3) )
& ( X1 != X3 )
& ( X0 != X2 )
& ( X0 != X3 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& $less(X1,X0)
& ( 5 = a(X2) )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( b(X1) = 2 ) )
& ( z2 != z3 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( 5 = b(X2) )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( 5 = a(X2) )
& ( X1 != X3 )
& ( a(X0) = 6 )
& ( 2 = b(X3) )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X1),3)
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( X1 != X3 )
& $less(X1,X0)
& ( 8 = a(X2) )
& ( X2 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X3 )
& ( a(X0) = 4 )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( 2 = b(X3) )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& $less(X1,X0)
& $less(b(X2),4)
& ( X0 != X1 )
& ( 7 = a(X2) )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( 1 = a(X0) )
& ( b(X0) = 5 )
& ( X0 != X2 ) )
& ! [X0: $int] :
( $lesseq(b(X0),5)
& $lesseq(1,b(X0)) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 4 )
& ( b(X1) = 2 ) )
& $true
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X0 != X3 )
& ( b(X2) = 2 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( a(X0) = 2 )
& ( X0 != X1 )
& ( 7 = a(X2) )
& ( X2 != X3 )
& ( X1 != X2 )
& ( 5 = b(X3) )
& ( X1 != X3 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( 6 = a(X2) )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( 1 = a(X0) )
& ( 10 = a(X1) )
& ( b(X1) = 2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 5 = b(X2) )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 6 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 7 )
& $less(b(X1),3)
& ( 6 = a(X2) )
& ( X0 != X2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( X0 != X1 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X2 != X3 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( 2 = b(X3) )
& ( X1 != X3 )
& ( 7 = a(X2) ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& $less(b(X2),4)
& ( X1 != X2 )
& ( 1 = a(X0) )
& ( 8 = a(X2) )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ! [X0: $int] :
( $lesseq(a(X0),12)
& $lesseq(1,a(X0)) ) )
=> ~ ( ( 5 = b(z3) )
& $less(z2,z1)
& $less(b(z2),3)
& ( 2 = b(z1) )
& ( 5 = a(z1) )
& ( 5 = a(z3) )
& ( 2 = a(z4) )
& ( 10 = a(z2) ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ! [X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 10 )
& ( 10 = a(X1) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 7 )
& ( 7 = a(X2) )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ( z3 != z4 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X0),4)
& ( a(X0) = 3 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& $less(b(X2),4)
& ( 10 = a(X1) )
& ( b(X1) = 2 )
& ( 8 = a(X2) ) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X3 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& $less(X1,X0)
& ( X2 != X3 )
& ( 5 = b(X2) )
& ( X1 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& $less(b(X1),3) )
& ( z1 != z2 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& ( 10 = a(X1) )
& ( 5 = a(X2) )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( X0 != X1 )
& ( 10 = a(X1) )
& ( 7 = a(X2) )
& $less(X1,X0)
& ( b(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( a(X0) = 3 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( X0 != X2 )
& ( 8 = a(X2) )
& $less(b(X0),4)
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X3 )
& ( X2 != X3 )
& ( 5 = b(X2) )
& ( X0 != X2 )
& ( X1 != X3 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( 2 = a(X3) )
& ( X1 != X2 ) )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X2 )
& ( 5 = b(X3) )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(b(X0),4)
& $less(X1,X0)
& ( X0 != X3 )
& ( b(X2) = 2 )
& ( 7 = a(X2) )
& ( X1 != X2 )
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( X1 != X3 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( X1 != X3 )
& ( X2 != X3 )
& ( 5 = b(X3) ) )
& ! [X1: $int,X2: $int,X3: $int,X0: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X2 != X3 )
& ( X0 != X1 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( 6 = a(X2) )
& $less(X1,X0)
& ( 2 = b(X3) ) )
& ( z1 != z4 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& $less(b(X2),4)
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( 8 = a(X2) )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( 2 = b(X3) )
& ( X2 != X3 )
& $less(b(X1),3)
& ( 10 = a(X1) )
& $less(X1,X0)
& ( 5 = a(X2) )
& ( b(X0) = 5 )
& ( X1 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 4 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( b(X2) = 2 )
& $less(b(X1),3) )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& $less(b(X0),4)
& ( X0 != X3 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( X2 != X3 )
& ( 7 = a(X2) )
& ( 5 = b(X3) )
& ( a(X0) = 3 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( X1 != X2 )
& ( 1 = a(X0) )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( b(X0) = 5 ) )
& ( z1 != z5 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( 7 = a(X2) )
& ( X0 != X2 )
& $less(X1,X0)
& ( 10 = a(X1) )
& ( a(X0) = 2 )
& $less(b(X2),4) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( 10 = a(X1) )
& ( 6 = a(X2) )
& ( a(X0) = 2 )
& ( X1 != X2 ) )
& ( z2 != z5 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( 5 = a(X2) )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X0) = 8 )
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( 1 = a(X0) )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& $less(X1,X0)
& $less(b(X1),3)
& ( 8 = a(X2) ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( 8 = a(X2) )
& ( X0 != X2 )
& $less(b(X1),3) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( 5 = a(X2) )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( X2 != X3 )
& ( 2 = b(X3) )
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X3 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( 2 = a(X3) )
& ( 8 = a(X2) )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& ( X0 != X2 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X0) = 12 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( 7 = a(X2) )
& ( b(X2) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( 1 = a(X0) )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( 5 = a(X2) )
& ( X0 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X0) = 5 )
& ( 7 = a(X2) )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 ) )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X1 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( 5 = b(X2) )
& $less(b(X1),3)
& $less(X1,X0)
& ( 1 = a(X3) )
& ( X2 != X3 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 12 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( 6 = a(X2) )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( b(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X0) = 2 )
& ( 8 = a(X2) )
& $less(X1,X0)
& ( 10 = a(X1) )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( 7 = a(X2) )
& $less(X1,X0) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 12 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X3 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& $less(X1,X0)
& $less(b(X2),4)
& ( 5 = b(X3) )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X2 != X3 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( $less(b(X2),4)
& ( X0 != X2 )
& ( 5 = b(X3) )
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( 1 = a(X0) )
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( 10 = a(X1) )
& ( X2 != X3 )
& ( X1 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( a(X2) = 4 )
& ( 10 = a(X1) )
& ( X0 != X2 )
& $less(X1,X0) )
& ( z2 != z4 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 4 )
& ( 5 = b(X2) )
& ( 10 = a(X1) )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& $less(X1,X0)
& ( X0 != X2 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( 8 = a(X2) ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 4 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( a(X0) = 7 )
& ( b(X1) = 2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 5 = a(X2) )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X0) = 12 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ( z4 != z5 )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X2 != X3 )
& $less(b(X2),4)
& ( 5 = b(X3) )
& ( a(X0) = 2 )
& ( b(X1) = 2 )
& ( 7 = a(X2) )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X3 )
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( a(X0) = 6 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( 8 = a(X2) ) )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X3 )
& ( 2 = b(X3) )
& ( X0 != X3 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X2 != X3 )
& ( 5 = b(X2) ) )
& ( z3 != z5 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( a(X0) = 2 )
& $less(X1,X0)
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( 8 = a(X2) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( 10 = a(X1) )
& ( 7 = a(X2) )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( 7 = a(X2) )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( 10 = a(X1) )
& ( 1 = a(X0) )
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( 7 = a(X2) )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 5 )
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& ( 6 = a(X2) ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( $less(b(X1),3)
& ( 5 = b(X3) )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( 7 = a(X2) )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X2 != X3 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( 1 = a(X0) ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& ( 10 = a(X1) )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( 5 = a(X2) )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( 6 = a(X2) )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( 10 = a(X1) )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X0) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( 7 = a(X2) )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( a(X0) = 6 )
& $less(X1,X0)
& ( X0 != X1 ) )
& ( z1 != z3 )
& ! [X1: $int,X0: $int] :
~ ( ( a(X0) = 9 )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( 6 = a(X2) )
& ( X1 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X1 )
& ( 10 = a(X1) )
& ( a(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( b(X2) = 2 )
& ( 7 = a(X2) )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( 5 = b(X3) )
& ( 10 = a(X1) )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( 8 = a(X2) )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( 10 = a(X1) ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( 10 = a(X1) )
& ( X0 != X1 )
& ( 5 = b(X2) )
& $less(b(X1),3)
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( a(X2) = 4 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 )
& ( 2 = b(X3) )
& ( X0 != X3 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( 8 = a(X2) )
& ( 10 = a(X1) ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( 6 = a(X2) )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( b(X1) = 2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 6 )
& ( 5 = a(X2) )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( 10 = a(X1) )
& ( 5 = b(X2) )
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X1 != X2 )
& ( 2 = a(X3) )
& ( X1 != X3 )
& ( X0 != X2 )
& ( X0 != X3 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& $less(X1,X0)
& ( 5 = a(X2) )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( b(X1) = 2 ) )
& ( z2 != z3 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( 5 = b(X2) )
& ( X0 != X2 )
& ( 10 = a(X1) )
& ( X0 != X1 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( 5 = a(X2) )
& ( X1 != X3 )
& ( a(X0) = 6 )
& ( 2 = b(X3) )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( X0 != X3 )
& $less(X1,X0)
& ( X1 != X2 )
& $less(b(X1),3)
& ( 10 = a(X1) ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( 8 = a(X2) )
& ( 10 = a(X1) )
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( X1 != X3 )
& $less(X1,X0)
& ( 8 = a(X2) )
& ( X2 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X3 )
& ( a(X0) = 4 )
& $less(b(X1),3)
& ( 10 = a(X1) )
& ( 2 = b(X3) )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 10 = a(X1) )
& $less(X1,X0)
& $less(b(X2),4)
& ( X0 != X1 )
& ( 7 = a(X2) )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( 1 = a(X0) )
& ( b(X0) = 5 )
& ( X0 != X2 ) )
& ! [X0: $int] :
( $lesseq(b(X0),5)
& $lesseq(1,b(X0)) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( 10 = a(X1) )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 4 )
& ( b(X1) = 2 ) )
& $true
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( $less(X1,X0)
& ( X0 != X3 )
& ( b(X2) = 2 )
& ( 10 = a(X1) )
& $less(b(X1),3)
& ( a(X0) = 2 )
& ( X0 != X1 )
& ( 7 = a(X2) )
& ( X2 != X3 )
& ( X1 != X2 )
& ( 5 = b(X3) )
& ( X1 != X3 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( 6 = a(X2) )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( 1 = a(X0) )
& ( 10 = a(X1) )
& ( b(X1) = 2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( 5 = b(X2) )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X0) = 6 )
& ( X0 != X2 )
& ( 10 = a(X1) )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 7 )
& $less(b(X1),3)
& ( 6 = a(X2) )
& ( X0 != X2 )
& ( X1 != X2 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( X0 != X1 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X2 != X3 )
& ( 10 = a(X1) )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( 2 = b(X3) )
& ( X1 != X3 )
& ( 7 = a(X2) ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( 10 = a(X1) )
& $less(b(X2),4)
& ( X1 != X2 )
& ( 1 = a(X0) )
& ( 8 = a(X2) )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ! [X0: $int] :
( $lesseq(a(X0),12)
& $lesseq(1,a(X0)) ) )
=> ~ ( ( 5 = b(z3) )
& $less(z2,z1)
& $less(b(z2),3)
& ( 2 = b(z1) )
& ( 5 = a(z1) )
& ( 5 = a(z3) )
& ( 2 = a(z4) )
& ( 10 = a(z2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f625,plain,
( ~ spl7_31
| spl7_32
| spl7_1
| spl7_2
| spl7_8
| ~ spl7_14
| ~ spl7_20
| ~ spl7_21
| ~ spl7_22
| ~ spl7_23 ),
inference(avatar_split_clause,[],[f613,f235,f228,f223,f213,f185,f161,f137,f133,f623,f620]) ).
tff(f620,plain,
( spl7_31
<=> $less(z2,z3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_31])]) ).
tff(f623,plain,
( spl7_32
<=> ! [X0: $int] :
( ( z1 = X0 )
| ( z2 = X0 )
| ( z3 = X0 )
| ( b(X0) != 5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_32])]) ).
tff(f228,plain,
( spl7_22
<=> ( 2 = b(z1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_22])]) ).
tff(f235,plain,
( spl7_23
<=> ( 5 = a(z3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_23])]) ).
tff(f613,plain,
( ! [X0: $int] :
( ( z1 = X0 )
| ( b(X0) != 5 )
| ~ $less(z2,z3)
| ( z3 = X0 )
| ( z2 = X0 ) )
| spl7_1
| spl7_2
| spl7_8
| ~ spl7_14
| ~ spl7_20
| ~ spl7_21
| ~ spl7_22
| ~ spl7_23 ),
inference(subsumption_resolution,[],[f612,f138]) ).
tff(f612,plain,
( ! [X0: $int] :
( ( z1 = X0 )
| ( z3 = X0 )
| ( b(X0) != 5 )
| ( z2 = z3 )
| ~ $less(z2,z3)
| ( z2 = X0 ) )
| spl7_1
| spl7_8
| ~ spl7_14
| ~ spl7_20
| ~ spl7_21
| ~ spl7_22
| ~ spl7_23 ),
inference(subsumption_resolution,[],[f611,f134]) ).
tff(f611,plain,
( ! [X0: $int] :
( ( b(X0) != 5 )
| ( z1 = z3 )
| ( z2 = X0 )
| ~ $less(z2,z3)
| ( z2 = z3 )
| ( z1 = X0 )
| ( z3 = X0 ) )
| spl7_8
| ~ spl7_14
| ~ spl7_20
| ~ spl7_21
| ~ spl7_22
| ~ spl7_23 ),
inference(trivial_inequality_removal,[],[f609]) ).
tff(f609,plain,
( ! [X0: $int] :
( ( z2 = X0 )
| ( z2 = z3 )
| ( b(X0) != 5 )
| ~ $less(z2,z3)
| ( z3 = X0 )
| ( z1 = z3 )
| ( z1 = X0 )
| ( 5 != 5 ) )
| spl7_8
| ~ spl7_14
| ~ spl7_20
| ~ spl7_21
| ~ spl7_22
| ~ spl7_23 ),
inference(superposition,[],[f608,f236]) ).
tff(f236,plain,
( ( 5 = a(z3) )
| ~ spl7_23 ),
inference(avatar_component_clause,[],[f235]) ).
tff(f608,plain,
( ! [X0: $int,X1: $int] :
( ( 5 != a(X1) )
| ~ $less(z2,X1)
| ( z2 = X0 )
| ( X0 = X1 )
| ( b(X0) != 5 )
| ( z2 = X1 )
| ( z1 = X1 )
| ( z1 = X0 ) )
| spl7_8
| ~ spl7_14
| ~ spl7_20
| ~ spl7_21
| ~ spl7_22 ),
inference(subsumption_resolution,[],[f607,f186]) ).
tff(f607,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(sF2,3)
| ( z1 = X1 )
| ( z2 = X1 )
| ( b(X0) != 5 )
| ( X0 = X1 )
| ~ $less(z2,X1)
| ( z1 = X0 )
| ( z2 = X0 )
| ( 5 != a(X1) ) )
| spl7_8
| ~ spl7_20
| ~ spl7_21
| ~ spl7_22 ),
inference(forward_demodulation,[],[f606,f224]) ).
tff(f606,plain,
( ! [X0: $int,X1: $int] :
( ( z2 = X1 )
| ( z1 = X1 )
| ( z2 = X0 )
| ( X0 = X1 )
| ( b(X0) != 5 )
| ~ $less(z2,X1)
| ( z1 = X0 )
| ( 5 != a(X1) )
| ~ $less(b(z2),3) )
| spl7_8
| ~ spl7_20
| ~ spl7_22 ),
inference(subsumption_resolution,[],[f605,f162]) ).
tff(f605,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(b(z2),3)
| ( z1 = X1 )
| ( z2 = X0 )
| ( z1 = X0 )
| ( b(X0) != 5 )
| ~ $less(z2,X1)
| ( 5 != a(X1) )
| ( z2 = X1 )
| ( X0 = X1 )
| ( z1 = z2 ) )
| ~ spl7_20
| ~ spl7_22 ),
inference(trivial_inequality_removal,[],[f602]) ).
tff(f602,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(b(z2),3)
| ( z1 = z2 )
| ( z1 = X1 )
| ( 10 != 10 )
| ( b(X0) != 5 )
| ( X0 = X1 )
| ~ $less(z2,X1)
| ( z1 = X0 )
| ( z2 = X0 )
| ( 5 != a(X1) )
| ( z2 = X1 ) )
| ~ spl7_20
| ~ spl7_22 ),
inference(superposition,[],[f601,f214]) ).
tff(f601,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( 10 != a(X2) )
| ~ $less(b(X2),3)
| ( z1 = X1 )
| ( z1 = X0 )
| ( 5 != b(X1) )
| ( a(X0) != 5 )
| ( X0 = X2 )
| ( X0 = X1 )
| ~ $less(X2,X0)
| ( X1 = X2 )
| ( z1 = X2 ) )
| ~ spl7_22 ),
inference(trivial_inequality_removal,[],[f599]) ).
tff(f599,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( z1 = X0 )
| ( 2 != 2 )
| ~ $less(X2,X0)
| ( 10 != a(X2) )
| ( X1 = X2 )
| ( z1 = X1 )
| ~ $less(b(X2),3)
| ( z1 = X2 )
| ( X0 = X2 )
| ( a(X0) != 5 )
| ( 5 != b(X1) )
| ( X0 = X1 ) )
| ~ spl7_22 ),
inference(superposition,[],[f49,f229]) ).
tff(f229,plain,
( ( 2 = b(z1) )
| ~ spl7_22 ),
inference(avatar_component_clause,[],[f228]) ).
tff(f49,plain,
! [X10: $int,X11: $int,X8: $int,X9: $int] :
( ( 2 != b(X10) )
| ( 5 != a(X11) )
| ( X8 = X9 )
| ( 10 != a(X9) )
| ( X9 = X10 )
| ( X8 = X11 )
| ~ $less(b(X9),3)
| ( X9 = X11 )
| ~ $less(X9,X11)
| ( X10 = X11 )
| ( 5 != b(X8) )
| ( X8 = X10 ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f325,plain,
( spl7_30
| ~ spl7_29
| ~ spl7_20
| ~ spl7_21 ),
inference(avatar_split_clause,[],[f318,f223,f213,f290,f323]) ).
tff(f323,plain,
( spl7_30
<=> ! [X0: $int,X1: $int] :
( ( 5 != a(X1) )
| ( z2 = X1 )
| ~ $less(z2,X1)
| ( b(X0) != 5 )
| ( X0 = X1 )
| ( z2 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_30])]) ).
tff(f290,plain,
( spl7_29
<=> ( 2 = sF2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_29])]) ).
tff(f318,plain,
( ! [X0: $int,X1: $int] :
( ( 5 != a(X1) )
| ( b(X0) != 5 )
| ( z2 = X0 )
| ~ $less(z2,X1)
| ( X0 = X1 )
| ( z2 = X1 )
| ( 2 != sF2 ) )
| ~ spl7_20
| ~ spl7_21 ),
inference(subsumption_resolution,[],[f315,f214]) ).
tff(f315,plain,
( ! [X0: $int,X1: $int] :
( ( 5 != a(X1) )
| ( b(X0) != 5 )
| ( X0 = X1 )
| ( 10 != a(z2) )
| ( z2 = X0 )
| ~ $less(z2,X1)
| ( 2 != sF2 )
| ( z2 = X1 ) )
| ~ spl7_21 ),
inference(superposition,[],[f85,f224]) ).
tff(f85,plain,
! [X212: $int,X210: $int,X211: $int] :
( ( 2 != b(X210) )
| ( X210 = X211 )
| ( 5 != b(X211) )
| ~ $less(X210,X212)
| ( 5 != a(X212) )
| ( X211 = X212 )
| ( X210 = X212 )
| ( 10 != a(X210) ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f292,plain,
( spl7_28
| ~ spl7_29
| ~ spl7_20
| ~ spl7_21 ),
inference(avatar_split_clause,[],[f284,f223,f213,f290,f287]) ).
tff(f287,plain,
( spl7_28
<=> ! [X0: $int,X1: $int] :
( ( a(X0) != 5 )
| ~ $less(z2,X0)
| ( X0 = X1 )
| ( z2 = X1 )
| ( a(X1) != 8 )
| ( z2 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_28])]) ).
tff(f284,plain,
( ! [X0: $int,X1: $int] :
( ( a(X0) != 5 )
| ( z2 = X0 )
| ( z2 = X1 )
| ( a(X1) != 8 )
| ( X0 = X1 )
| ( 2 != sF2 )
| ~ $less(z2,X0) )
| ~ spl7_20
| ~ spl7_21 ),
inference(subsumption_resolution,[],[f282,f214]) ).
tff(f282,plain,
( ! [X0: $int,X1: $int] :
( ( z2 = X1 )
| ( a(X0) != 5 )
| ( z2 = X0 )
| ( a(X1) != 8 )
| ( X0 = X1 )
| ( 2 != sF2 )
| ( 10 != a(z2) )
| ~ $less(z2,X0) )
| ~ spl7_21 ),
inference(superposition,[],[f47,f224]) ).
tff(f47,plain,
! [X138: $int,X139: $int,X137: $int] :
( ( 2 != b(X139) )
| ~ $less(X139,X137)
| ( 10 != a(X139) )
| ( 5 != a(X137) )
| ( X138 = X139 )
| ( X137 = X139 )
| ( 8 != a(X138) )
| ( X137 = X138 ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f275,plain,
( ~ spl7_27
| ~ spl7_21 ),
inference(avatar_split_clause,[],[f267,f223,f273]) ).
tff(f273,plain,
( spl7_27
<=> $less(sF2,1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_27])]) ).
tff(f267,plain,
( ~ $less(sF2,1)
| ~ spl7_21 ),
inference(superposition,[],[f64,f224]) ).
tff(f64,plain,
! [X227: $int] : ~ $less(b(X227),1),
inference(cnf_transformation,[],[f18]) ).
tff(f271,plain,
( ~ spl7_26
| ~ spl7_21 ),
inference(avatar_split_clause,[],[f266,f223,f269]) ).
tff(f269,plain,
( spl7_26
<=> $less(5,sF2) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_26])]) ).
tff(f266,plain,
( ~ $less(5,sF2)
| ~ spl7_21 ),
inference(superposition,[],[f65,f224]) ).
tff(f65,plain,
! [X227: $int] : ~ $less(5,b(X227)),
inference(cnf_transformation,[],[f18]) ).
tff(f259,plain,
( spl7_25
| ~ spl7_18 ),
inference(avatar_split_clause,[],[f255,f201,f257]) ).
tff(f201,plain,
( spl7_18
<=> ( 5 = sF6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_18])]) ).
tff(f255,plain,
( ( 5 = a(z1) )
| ~ spl7_18 ),
inference(forward_demodulation,[],[f130,f202]) ).
tff(f202,plain,
( ( 5 = sF6 )
| ~ spl7_18 ),
inference(avatar_component_clause,[],[f201]) ).
tff(f130,plain,
a(z1) = sF6,
introduced(function_definition,[new_symbols(definition,[sF6])]) ).
tff(f248,plain,
( spl7_24
| ~ spl7_17 ),
inference(avatar_split_clause,[],[f244,f197,f246]) ).
tff(f197,plain,
( spl7_17
<=> ( 2 = sF5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_17])]) ).
tff(f244,plain,
( ( 2 = a(z4) )
| ~ spl7_17 ),
inference(forward_demodulation,[],[f128,f198]) ).
tff(f198,plain,
( ( 2 = sF5 )
| ~ spl7_17 ),
inference(avatar_component_clause,[],[f197]) ).
tff(f128,plain,
a(z4) = sF5,
introduced(function_definition,[new_symbols(definition,[sF5])]) ).
tff(f237,plain,
( spl7_23
| ~ spl7_16 ),
inference(avatar_split_clause,[],[f233,f193,f235]) ).
tff(f193,plain,
( spl7_16
<=> ( 5 = sF4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_16])]) ).
tff(f233,plain,
( ( 5 = a(z3) )
| ~ spl7_16 ),
inference(forward_demodulation,[],[f126,f194]) ).
tff(f194,plain,
( ( 5 = sF4 )
| ~ spl7_16 ),
inference(avatar_component_clause,[],[f193]) ).
tff(f126,plain,
a(z3) = sF4,
introduced(function_definition,[new_symbols(definition,[sF4])]) ).
tff(f230,plain,
( spl7_22
| ~ spl7_15 ),
inference(avatar_split_clause,[],[f226,f189,f228]) ).
tff(f189,plain,
( spl7_15
<=> ( 2 = sF3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_15])]) ).
tff(f226,plain,
( ( 2 = b(z1) )
| ~ spl7_15 ),
inference(forward_demodulation,[],[f124,f190]) ).
tff(f190,plain,
( ( 2 = sF3 )
| ~ spl7_15 ),
inference(avatar_component_clause,[],[f189]) ).
tff(f124,plain,
b(z1) = sF3,
introduced(function_definition,[new_symbols(definition,[sF3])]) ).
tff(f225,plain,
spl7_21,
inference(avatar_split_clause,[],[f122,f223]) ).
tff(f122,plain,
b(z2) = sF2,
introduced(function_definition,[new_symbols(definition,[sF2])]) ).
tff(f215,plain,
( spl7_20
| ~ spl7_13 ),
inference(avatar_split_clause,[],[f211,f181,f213]) ).
tff(f181,plain,
( spl7_13
<=> ( 10 = sF1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_13])]) ).
tff(f211,plain,
( ( 10 = a(z2) )
| ~ spl7_13 ),
inference(forward_demodulation,[],[f120,f182]) ).
tff(f182,plain,
( ( 10 = sF1 )
| ~ spl7_13 ),
inference(avatar_component_clause,[],[f181]) ).
tff(f120,plain,
a(z2) = sF1,
introduced(function_definition,[new_symbols(definition,[sF1])]) ).
tff(f208,plain,
( spl7_19
| ~ spl7_12 ),
inference(avatar_split_clause,[],[f204,f177,f206]) ).
tff(f177,plain,
( spl7_12
<=> ( 5 = sF0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_12])]) ).
tff(f204,plain,
( ( 5 = b(z3) )
| ~ spl7_12 ),
inference(forward_demodulation,[],[f118,f178]) ).
tff(f178,plain,
( ( 5 = sF0 )
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f177]) ).
tff(f118,plain,
b(z3) = sF0,
introduced(function_definition,[new_symbols(definition,[sF0])]) ).
tff(f203,plain,
spl7_18,
inference(avatar_split_clause,[],[f131,f201]) ).
tff(f131,plain,
5 = sF6,
inference(definition_folding,[],[f104,f130]) ).
tff(f104,plain,
5 = a(z1),
inference(cnf_transformation,[],[f18]) ).
tff(f199,plain,
spl7_17,
inference(avatar_split_clause,[],[f129,f197]) ).
tff(f129,plain,
2 = sF5,
inference(definition_folding,[],[f105,f128]) ).
tff(f105,plain,
2 = a(z4),
inference(cnf_transformation,[],[f18]) ).
tff(f195,plain,
spl7_16,
inference(avatar_split_clause,[],[f127,f193]) ).
tff(f127,plain,
5 = sF4,
inference(definition_folding,[],[f106,f126]) ).
tff(f106,plain,
5 = a(z3),
inference(cnf_transformation,[],[f18]) ).
tff(f191,plain,
spl7_15,
inference(avatar_split_clause,[],[f125,f189]) ).
tff(f125,plain,
2 = sF3,
inference(definition_folding,[],[f110,f124]) ).
tff(f110,plain,
2 = b(z1),
inference(cnf_transformation,[],[f18]) ).
tff(f187,plain,
spl7_14,
inference(avatar_split_clause,[],[f123,f185]) ).
tff(f123,plain,
$less(sF2,3),
inference(definition_folding,[],[f111,f122]) ).
tff(f111,plain,
$less(b(z2),3),
inference(cnf_transformation,[],[f18]) ).
tff(f183,plain,
spl7_13,
inference(avatar_split_clause,[],[f121,f181]) ).
tff(f121,plain,
10 = sF1,
inference(definition_folding,[],[f114,f120]) ).
tff(f114,plain,
10 = a(z2),
inference(cnf_transformation,[],[f18]) ).
tff(f179,plain,
spl7_12,
inference(avatar_split_clause,[],[f119,f177]) ).
tff(f119,plain,
5 = sF0,
inference(definition_folding,[],[f115,f118]) ).
tff(f115,plain,
5 = b(z3),
inference(cnf_transformation,[],[f18]) ).
tff(f175,plain,
~ spl7_11,
inference(avatar_split_clause,[],[f117,f173]) ).
tff(f173,plain,
( spl7_11
<=> ( z3 = z5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).
tff(f117,plain,
z3 != z5,
inference(cnf_transformation,[],[f18]) ).
tff(f171,plain,
~ spl7_10,
inference(avatar_split_clause,[],[f116,f169]) ).
tff(f169,plain,
( spl7_10
<=> ( z2 = z5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
tff(f116,plain,
z2 != z5,
inference(cnf_transformation,[],[f18]) ).
tff(f167,plain,
~ spl7_9,
inference(avatar_split_clause,[],[f113,f165]) ).
tff(f113,plain,
z1 != z4,
inference(cnf_transformation,[],[f18]) ).
tff(f163,plain,
~ spl7_8,
inference(avatar_split_clause,[],[f112,f161]) ).
tff(f112,plain,
z1 != z2,
inference(cnf_transformation,[],[f18]) ).
tff(f159,plain,
~ spl7_7,
inference(avatar_split_clause,[],[f109,f157]) ).
tff(f157,plain,
( spl7_7
<=> ( z4 = z5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
tff(f109,plain,
z4 != z5,
inference(cnf_transformation,[],[f18]) ).
tff(f155,plain,
~ spl7_6,
inference(avatar_split_clause,[],[f108,f153]) ).
tff(f108,plain,
z3 != z4,
inference(cnf_transformation,[],[f18]) ).
tff(f151,plain,
~ spl7_5,
inference(avatar_split_clause,[],[f107,f149]) ).
tff(f107,plain,
z2 != z4,
inference(cnf_transformation,[],[f18]) ).
tff(f147,plain,
~ spl7_4,
inference(avatar_split_clause,[],[f103,f145]) ).
tff(f145,plain,
( spl7_4
<=> ( z1 = z5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
tff(f103,plain,
z1 != z5,
inference(cnf_transformation,[],[f18]) ).
tff(f143,plain,
spl7_3,
inference(avatar_split_clause,[],[f102,f141]) ).
tff(f102,plain,
$less(z2,z1),
inference(cnf_transformation,[],[f18]) ).
tff(f139,plain,
~ spl7_2,
inference(avatar_split_clause,[],[f101,f137]) ).
tff(f101,plain,
z2 != z3,
inference(cnf_transformation,[],[f18]) ).
tff(f135,plain,
~ spl7_1,
inference(avatar_split_clause,[],[f100,f133]) ).
tff(f100,plain,
z1 != z3,
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW000_1 : TPTP v8.2.0. Released v5.0.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 08:10:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a TF0_THM_EQU_ARI problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42 % (32237)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (32241)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.42 % (32241)Instruction limit reached!
% 0.20/0.42 % (32241)------------------------------
% 0.20/0.42 % (32241)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.42 % (32241)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.42 % (32241)Termination reason: Time limit
% 0.20/0.42 % (32241)Termination phase: Property scanning
% 0.20/0.42
% 0.20/0.42 % (32241)Memory used [KB]: 822
% 0.20/0.42 % (32241)Time elapsed: 0.003 s
% 0.20/0.42 % (32241)Instructions burned: 2 (million)
% 0.20/0.42 % (32237)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (32240)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/8Mi)
% 0.20/0.42 % (32237)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (32242)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.20/0.42 % (32237)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (32244)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 0.20/0.42 % (32237)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (32239)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/34Mi)
% 0.20/0.42 % (32237)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (32238)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.20/0.43 % (32237)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (32243)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.20/0.43 % (32240)Instruction limit reached!
% 0.20/0.43 % (32240)------------------------------
% 0.20/0.43 % (32240)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43 % (32240)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43 % (32240)Termination reason: Time limit
% 0.20/0.43 % (32240)Termination phase: Preprocessing 2
% 0.20/0.43
% 0.20/0.43 % (32240)Memory used [KB]: 1093
% 0.20/0.43 % (32240)Time elapsed: 0.006 s
% 0.20/0.43 % (32240)Instructions burned: 9 (million)
% 0.20/0.43 % (32243)Instruction limit reached!
% 0.20/0.43 % (32243)------------------------------
% 0.20/0.43 % (32243)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.43 % (32243)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.43 % (32243)Termination reason: Time limit
% 0.20/0.43 % (32243)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (32243)Memory used [KB]: 1386
% 0.20/0.43 % (32243)Time elapsed: 0.010 s
% 0.20/0.43 % (32243)Instructions burned: 16 (million)
% 0.20/0.44 % (32244)Instruction limit reached!
% 0.20/0.44 % (32244)------------------------------
% 0.20/0.44 % (32244)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.44 % (32244)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.44 % (32244)Termination reason: Time limit
% 0.20/0.44 % (32244)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (32244)Memory used [KB]: 1432
% 0.20/0.44 % (32244)Time elapsed: 0.019 s
% 0.20/0.44 % (32244)Instructions burned: 33 (million)
% 0.20/0.44 % (32242)Instruction limit reached!
% 0.20/0.44 % (32242)------------------------------
% 0.20/0.44 % (32242)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.44 % (32242)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.44 % (32242)Termination reason: Time limit
% 0.20/0.44 % (32242)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (32242)Memory used [KB]: 1474
% 0.20/0.44 % (32242)Time elapsed: 0.020 s
% 0.20/0.44 % (32242)Instructions burned: 37 (million)
% 0.20/0.44 % (32239)Instruction limit reached!
% 0.20/0.44 % (32239)------------------------------
% 0.20/0.44 % (32239)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.44 % (32239)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.44 % (32239)Termination reason: Time limit
% 0.20/0.44 % (32239)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (32239)Memory used [KB]: 1429
% 0.20/0.44 % (32239)Time elapsed: 0.021 s
% 0.20/0.44 % (32239)Instructions burned: 34 (million)
% 0.20/0.48 % (32237)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.48 % (32258)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.20/0.49 % (32237)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.49 % (32260)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.20/0.49 % (32258)Instruction limit reached!
% 0.20/0.49 % (32258)------------------------------
% 0.20/0.49 % (32258)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49 % (32258)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49 % (32258)Termination reason: Time limit
% 0.20/0.49 % (32258)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (32258)Memory used [KB]: 1387
% 0.20/0.49 % (32258)Time elapsed: 0.018 s
% 0.20/0.49 % (32258)Instructions burned: 37 (million)
% 0.20/0.49 % (32237)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.49 % (32263)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.49 % (32263)Instruction limit reached!
% 0.20/0.49 % (32263)------------------------------
% 0.20/0.49 % (32263)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49 % (32263)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49 % (32263)Termination reason: Time limit
% 0.20/0.49 % (32263)Termination phase: Property scanning
% 0.20/0.49
% 0.20/0.49 % (32263)Memory used [KB]: 825
% 0.20/0.49 % (32263)Time elapsed: 0.003 s
% 0.20/0.49 % (32263)Instructions burned: 2 (million)
% 0.20/0.50 % (32237)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.50 % (32267)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.20/0.50 % (32237)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.50 % (32270)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.50 % (32270)Instruction limit reached!
% 0.20/0.50 % (32270)------------------------------
% 0.20/0.50 % (32270)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.50 % (32270)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.50 % (32270)Termination reason: Time limit
% 0.20/0.50 % (32270)Termination phase: Property scanning
% 0.20/0.50
% 0.20/0.50 % (32270)Memory used [KB]: 827
% 0.20/0.50 % (32270)Time elapsed: 0.003 s
% 0.20/0.50 % (32270)Instructions burned: 5 (million)
% 0.20/0.50 % (32237)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.50 % (32271)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (32271)Instruction limit reached!
% 0.20/0.50 % (32271)------------------------------
% 0.20/0.50 % (32271)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.50 % (32271)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.50 % (32271)Termination reason: Time limit
% 0.20/0.50 % (32271)Termination phase: Property scanning
% 0.20/0.50
% 0.20/0.50 % (32271)Memory used [KB]: 822
% 0.20/0.50 % (32271)Time elapsed: 0.002 s
% 0.20/0.50 % (32271)Instructions burned: 4 (million)
% 0.20/0.51 % (32260)Instruction limit reached!
% 0.20/0.51 % (32260)------------------------------
% 0.20/0.51 % (32260)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.51 % (32260)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.51 % (32260)Termination reason: Time limit
% 0.20/0.51 % (32260)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (32260)Memory used [KB]: 1462
% 0.20/0.51 % (32260)Time elapsed: 0.016 s
% 0.20/0.51 % (32260)Instructions burned: 29 (million)
% 0.20/0.51 % (32267)Instruction limit reached!
% 0.20/0.51 % (32267)------------------------------
% 0.20/0.51 % (32267)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.51 % (32267)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.51 % (32267)Termination reason: Time limit
% 0.20/0.51 % (32267)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (32267)Memory used [KB]: 1699
% 0.20/0.51 % (32267)Time elapsed: 0.014 s
% 0.20/0.51 % (32267)Instructions burned: 38 (million)
% 0.20/0.53 % (32238)First to succeed.
% 0.20/0.53 % (32237)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.53 % (32306)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 0.20/0.54 % (32238)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32237"
% 0.20/0.54 % (32237)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.54 % (32312)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 0.20/0.54 % (32306)Instruction limit reached!
% 0.20/0.54 % (32306)------------------------------
% 0.20/0.54 % (32306)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.54 % (32306)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.54 % (32306)Termination reason: Time limit
% 0.20/0.54 % (32306)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (32306)Memory used [KB]: 1414
% 0.20/0.54 % (32306)Time elapsed: 0.009 s
% 0.20/0.54 % (32306)Instructions burned: 23 (million)
% 0.20/0.54 % (32237)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.54 % (32238)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (32238)------------------------------
% 0.20/0.54 % (32238)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.54 % (32238)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.54 % (32238)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (32238)Memory used [KB]: 1662
% 0.20/0.54 % (32238)Time elapsed: 0.116 s
% 0.20/0.54 % (32238)Instructions burned: 262 (million)
% 0.20/0.54 % (32238)------------------------------
% 0.20/0.54 % (32238)------------------------------
% 0.20/0.54 % (32237)Success in time 0.167 s
%------------------------------------------------------------------------------