%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW004_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:27:56 PM UTC 2026
% Result : Theorem 3.64s 1.18s
% Output : Refutation 4.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 28
% Syntax : Number of formulae : 124 ( 45 unt; 0 typ; 27 def)
% Number of atoms : 7591 (6117 equ)
% Maximal formula atoms : 903 ( 61 avg)
% Number of connectives : 11499 (4032 ~;2615 |;4825 &)
% ( 22 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 118 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 7352 (1275 atm; 0 fun;3752 num;2325 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 27 ( 22 usr; 24 prp; 0-2 aty)
% Number of functors : 25 ( 14 usr; 23 con; 0-1 aty)
% Number of variables : 2325 (2325 !; 0 ?;2325 :)
% 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_18,type,
sF0: $int ).
tff(func_def_19,type,
sF1: $int ).
tff(func_def_20,type,
sF2: $int ).
tff(func_def_21,type,
sF3: $int ).
tff(func_def_22,type,
sF4: $int ).
tff(func_def_23,type,
sF5: $int ).
tff(func_def_24,type,
sF6: $int ).
tff(f1,conjecture,
( ( ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 6 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( a(X2) = 8 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& ( X0 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X2 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( a(X0) = 7 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X0) = 6 )
& ( b(X0) = 5 )
& ( a(X2) = 4 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 5 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( a(X0) = 7 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X0) = 12 ) )
& ( z2 != z3 )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( a(X2) = 8 )
& $less(X1,X0)
& ( b(X3) = 2 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X2 != X3 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X3) = 2 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( b(X2) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X2 != X3 )
& ( X1 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 6 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X2) = 6 )
& ( b(X3) = 2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( X0 != X1 )
& ( a(X2) = 8 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 3 )
& ( b(X2) = 2 )
& $less(b(X0),4)
& ( X0 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 1 )
& $less(b(X2),4) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( X2 != X3 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( X0 != X2 )
& ( X1 != X3 )
& ( b(X3) = 2 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X0 != X3 )
& ( X1 != X2 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X1 != X3 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X2 != X3 )
& ( X1 != X2 )
& ( b(X3) = 5 )
& ( a(X3) = 2 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( a(X2) = 7 ) )
& ( z1 != z2 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( a(X1) = 10 )
& ( a(X0) = 2 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( X0 != X1 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 12 )
& ( b(X1) = 2 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X3 )
& ( X2 != X3 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( b(X3) = 5 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X0 != X2 )
& $less(b(X2),4)
& $less(b(X1),3)
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X3) = 2 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 3 )
& $less(b(X0),4) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( X1 != X3 )
& ( X0 != X2 )
& $less(b(X2),4)
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X3) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X3 )
& ( a(X0) = 2 )
& ( a(X2) = 7 )
& ( b(X1) = 2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 4 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X2) = 6 ) )
& ( z1 != z4 )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( b(X3) = 5 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& ( X2 != X3 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( X0 != X2 )
& $less(X1,X0) )
& ( z3 != z4 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X2) = 6 )
& ( a(X1) = 10 )
& ( a(X0) = 12 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( X0 != X3 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X3) = 5 )
& ( a(X0) = 3 )
& ( X2 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X0),4) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( a(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 1 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X0: $int] :
( $lesseq(a(X0),12)
& $lesseq(1,a(X0)) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& ( X0 != X2 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( X2 != X3 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( a(X2) = 8 )
& ( a(X3) = 1 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 7 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 5 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X0) = 6 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( a(X0) = 12 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( X2 != X3 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X3) = 2 )
& ( a(X0) = 7 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( X1 != X2 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( a(X3) = 2 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X0 != X3 ) )
& $true
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 12 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X0) = 1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( b(X2) = 2 ) )
& ! [X2: $int,X3: $int,X1: $int,X0: $int] :
~ ( ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( a(X2) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X3 )
& ( b(X0) = 5 )
& ( b(X2) = 2 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( X0 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& $less(b(X1),3)
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 6 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X3 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 12 )
& ( X0 != X3 )
& ( X2 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X3) = 5 )
& ( b(X2) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( a(X3) = 2 )
& ( X0 != X2 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& ( X1 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 1 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( b(X3) = 5 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( X0 != X3 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 2 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X0) = 5 ) )
& ( z3 != z5 )
& ! [X0: $int] :
( $lesseq(b(X0),5)
& $lesseq(1,b(X0)) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X1 )
& ( a(X2) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( b(X2) = 2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( b(X3) = 5 )
& ( X0 != X3 )
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X2) = 6 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( a(X0) = 1 )
& ( X2 != X3 )
& ( b(X3) = 5 )
& ( a(X2) = 7 )
& $less(X1,X0)
& $less(b(X2),4)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& $less(b(X2),4)
& ( a(X2) = 8 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 2 ) )
& ( z1 != z5 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( a(X0) = 1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X2 )
& $less(b(X2),4) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( a(X2) = 6 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( b(X0) = 5 ) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 9 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X2) = 5 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 6 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X2) = 5 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 6 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(X1,X0)
& $less(b(X1),3) )
& ( z1 != z3 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X2) = 5 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X0 != X1 ) )
& ( z2 != z5 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 4 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( $less(X1,X0)
& ( X1 != X3 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X3) = 1 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X0 != X3 )
& ( b(X2) = 5 ) )
& ! [X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 10 )
& ( X0 != X1 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X0 != X3 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X1 != X3 )
& $less(X1,X0)
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( b(X2) = 5 )
& ( b(X3) = 2 )
& $less(b(X1),3) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X2: $int,X3: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( X2 != X3 )
& $less(b(X1),3)
& ( a(X3) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 7 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( a(X2) = 4 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 12 )
& ( X0 != X1 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( a(X3) = 2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X0) = 5 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X3 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& $less(b(X2),4)
& $less(b(X0),4)
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X3 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X1 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X2) = 7 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X0 != X2 ) )
& ( z2 != z4 )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( b(X3) = 5 )
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( X1 != X2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( X2 != X3 )
& ( X0 != X3 )
& ( X0 != X2 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( X2 != X3 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X1 != X3 )
& ( X0 != X2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 8 ) )
& ( z4 != z5 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X0) = 1 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X0) = 12 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( a(X3) = 2 )
& ( X1 != X3 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X2) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X3) = 1 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( b(X2) = 5 )
& ( X0 != X2 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( X1 != X3 ) ) )
=> ~ ( $less(z2,z1)
& ( b(z4) = 5 )
& ( a(z3) = 7 )
& ( a(z2) = 10 )
& ( a(z4) = 1 )
& ( a(z1) = 5 )
& $less(b(z2),3)
& ( b(z3) = 5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 6 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( a(X2) = 8 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& ( X0 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X2 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( a(X0) = 7 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X0) = 6 )
& ( b(X0) = 5 )
& ( a(X2) = 4 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 5 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( a(X0) = 7 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X0) = 12 ) )
& ( z2 != z3 )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( a(X2) = 8 )
& $less(X1,X0)
& ( b(X3) = 2 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X2 != X3 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X3) = 2 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( b(X2) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X2 != X3 )
& ( X1 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 6 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X2) = 6 )
& ( b(X3) = 2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( X0 != X1 )
& ( a(X2) = 8 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 3 )
& ( b(X2) = 2 )
& $less(b(X0),4)
& ( X0 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 1 )
& $less(b(X2),4) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( X2 != X3 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( X0 != X2 )
& ( X1 != X3 )
& ( b(X3) = 2 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X0 != X3 )
& ( X1 != X2 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X1 != X3 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X2 != X3 )
& ( X1 != X2 )
& ( b(X3) = 5 )
& ( a(X3) = 2 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( a(X2) = 7 ) )
& ( z1 != z2 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( a(X1) = 10 )
& ( a(X0) = 2 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( X0 != X1 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 12 )
& ( b(X1) = 2 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X3 )
& ( X2 != X3 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( b(X3) = 5 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X0 != X2 )
& $less(b(X2),4)
& $less(b(X1),3)
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X3) = 2 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 3 )
& $less(b(X0),4) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( X1 != X3 )
& ( X0 != X2 )
& $less(b(X2),4)
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X3) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X3 )
& ( a(X0) = 2 )
& ( a(X2) = 7 )
& ( b(X1) = 2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 4 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X2) = 6 ) )
& ( z1 != z4 )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( b(X3) = 5 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& ( X2 != X3 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( X0 != X2 )
& $less(X1,X0) )
& ( z3 != z4 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X2) = 6 )
& ( a(X1) = 10 )
& ( a(X0) = 12 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( X0 != X3 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X3) = 5 )
& ( a(X0) = 3 )
& ( X2 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X0),4) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( a(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 1 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X0: $int] :
( $lesseq(a(X0),12)
& $lesseq(1,a(X0)) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& ( X0 != X2 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( X2 != X3 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( a(X2) = 8 )
& ( a(X3) = 1 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 7 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 5 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X0) = 6 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( a(X0) = 12 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( X2 != X3 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X3) = 2 )
& ( a(X0) = 7 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( X1 != X2 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( a(X3) = 2 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X0 != X3 ) )
& $true
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 12 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X0) = 1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( b(X2) = 2 ) )
& ! [X2: $int,X3: $int,X1: $int,X0: $int] :
~ ( ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( a(X2) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X3 )
& ( b(X0) = 5 )
& ( b(X2) = 2 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( X0 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& $less(b(X1),3)
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 6 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X3 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 12 )
& ( X0 != X3 )
& ( X2 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X3) = 5 )
& ( b(X2) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( a(X3) = 2 )
& ( X0 != X2 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& ( X1 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 1 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( b(X3) = 5 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( X0 != X3 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 2 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X0) = 5 ) )
& ( z3 != z5 )
& ! [X0: $int] :
( $lesseq(b(X0),5)
& $lesseq(1,b(X0)) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X1 )
& ( a(X2) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( b(X2) = 2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( b(X3) = 5 )
& ( X0 != X3 )
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X2) = 6 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( a(X0) = 1 )
& ( X2 != X3 )
& ( b(X3) = 5 )
& ( a(X2) = 7 )
& $less(X1,X0)
& $less(b(X2),4)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& $less(b(X2),4)
& ( a(X2) = 8 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 2 ) )
& ( z1 != z5 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( a(X0) = 1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X2 )
& $less(b(X2),4) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( a(X2) = 6 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( b(X0) = 5 ) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 9 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X2) = 5 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 6 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X2) = 5 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 6 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(X1,X0)
& $less(b(X1),3) )
& ( z1 != z3 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X2) = 5 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X0 != X1 ) )
& ( z2 != z5 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 4 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( $less(X1,X0)
& ( X1 != X3 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X3) = 1 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X0 != X3 )
& ( b(X2) = 5 ) )
& ! [X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 10 )
& ( X0 != X1 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X0 != X3 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X1 != X3 )
& $less(X1,X0)
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( b(X2) = 5 )
& ( b(X3) = 2 )
& $less(b(X1),3) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X2: $int,X3: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( X2 != X3 )
& $less(b(X1),3)
& ( a(X3) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 7 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( a(X2) = 4 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 12 )
& ( X0 != X1 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( a(X3) = 2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X0) = 5 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X3 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& $less(b(X2),4)
& $less(b(X0),4)
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X3 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X1 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X2) = 7 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X0 != X2 ) )
& ( z2 != z4 )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( b(X3) = 5 )
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( X1 != X2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( X2 != X3 )
& ( X0 != X3 )
& ( X0 != X2 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( X2 != X3 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X1 != X3 )
& ( X0 != X2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 8 ) )
& ( z4 != z5 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X0) = 1 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X0) = 12 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( a(X3) = 2 )
& ( X1 != X3 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X2) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X3) = 1 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( b(X2) = 5 )
& ( X0 != X2 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( X1 != X3 ) ) )
=> ~ ( $less(z2,z1)
& ( b(z4) = 5 )
& ( a(z3) = 7 )
& ( a(z2) = 10 )
& ( a(z4) = 1 )
& ( a(z1) = 5 )
& $less(b(z2),3)
& ( b(z3) = 5 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 6 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( a(X2) = 8 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& ( X0 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X2 != X3 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( a(X0) = 7 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X0) = 6 )
& ( b(X0) = 5 )
& ( a(X2) = 4 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 5 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( a(X0) = 7 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X0) = 12 ) )
& ( z2 != z3 )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( a(X2) = 8 )
& $less(X1,X0)
& ( b(X3) = 2 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X2 != X3 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X3) = 2 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( b(X2) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X2 != X3 )
& ( X1 != X3 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 6 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X2) = 6 )
& ( b(X3) = 2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( X0 != X1 )
& ( a(X2) = 8 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 3 )
& ( b(X2) = 2 )
& $less(b(X0),4)
& ( X0 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 1 )
& $less(b(X2),4) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( X2 != X3 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( X0 != X2 )
& ( X1 != X3 )
& ( b(X3) = 2 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X0 != X3 )
& ( X1 != X2 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X1 != X3 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X2 != X3 )
& ( X1 != X2 )
& ( b(X3) = 5 )
& ( a(X3) = 2 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( a(X2) = 7 ) )
& ( z1 != z2 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( a(X1) = 10 )
& ( a(X0) = 2 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( X0 != X1 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 12 )
& ( b(X1) = 2 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X3 )
& ( X2 != X3 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( b(X3) = 5 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X0 != X2 )
& $less(b(X2),4)
& $less(b(X1),3)
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X3) = 2 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 3 )
& $less(b(X0),4) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( X1 != X3 )
& ( X0 != X2 )
& $less(b(X2),4)
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X3) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X3 )
& ( a(X0) = 2 )
& ( a(X2) = 7 )
& ( b(X1) = 2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 4 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X2) = 6 ) )
& ( z1 != z4 )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( b(X3) = 5 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& ( X2 != X3 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( X0 != X2 )
& $less(X1,X0) )
& ( z3 != z4 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X2) = 6 )
& ( a(X1) = 10 )
& ( a(X0) = 12 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( X0 != X3 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X3) = 5 )
& ( a(X0) = 3 )
& ( X2 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X0),4) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( a(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 1 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X0: $int] :
( ~ $less(12,a(X0))
& ~ $less(a(X0),1) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& ( X0 != X2 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( X2 != X3 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( a(X2) = 8 )
& ( a(X3) = 1 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 7 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 5 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X0) = 6 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( a(X0) = 12 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( X2 != X3 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X3) = 2 )
& ( a(X0) = 7 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( X1 != X2 )
& ( X2 != X3 )
& ( X1 != X3 )
& ( a(X3) = 2 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X0 != X3 ) )
& $true
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 12 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(b(X1),3)
& $less(X1,X0)
& ( a(X0) = 1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( b(X2) = 2 ) )
& ! [X2: $int,X3: $int,X1: $int,X0: $int] :
~ ( ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( a(X2) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X3 )
& ( b(X0) = 5 )
& ( b(X2) = 2 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( X0 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& $less(b(X1),3)
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 6 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X3 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 12 )
& ( X0 != X3 )
& ( X2 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X3) = 5 )
& ( b(X2) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( a(X3) = 2 )
& ( X0 != X2 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X2) = 8 )
& ( X1 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 1 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( b(X3) = 5 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( X0 != X3 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& ( a(X2) = 6 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 2 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X0) = 5 ) )
& ( z3 != z5 )
& ! [X0: $int] :
( ~ $less(5,b(X0))
& ~ $less(b(X0),1) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X1 )
& ( a(X2) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( b(X2) = 2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X2 != X3 )
& ( X1 != X2 )
& ( b(X3) = 5 )
& ( X0 != X3 )
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X2) = 6 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( a(X0) = 1 )
& ( X2 != X3 )
& ( b(X3) = 5 )
& ( a(X2) = 7 )
& $less(X1,X0)
& $less(b(X2),4)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& $less(b(X2),4)
& ( a(X2) = 8 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 2 ) )
& ( z1 != z5 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( a(X0) = 1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X2 )
& $less(b(X2),4) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( a(X2) = 6 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( b(X0) = 5 ) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 9 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X2) = 5 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 6 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X2) = 5 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 6 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& $less(X1,X0)
& $less(b(X1),3) )
& ( z1 != z3 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X2) = 5 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X0 != X1 ) )
& ( z2 != z5 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 4 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( $less(X1,X0)
& ( X1 != X3 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X3) = 1 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& ( X0 != X3 )
& ( b(X2) = 5 ) )
& ! [X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 10 )
& ( X0 != X1 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X0 != X3 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X1 != X3 )
& $less(X1,X0)
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( b(X2) = 5 )
& ( b(X3) = 2 )
& $less(b(X1),3) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X2: $int,X3: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( X2 != X3 )
& $less(b(X1),3)
& ( a(X3) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 7 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X1) = 2 )
& ( a(X2) = 4 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 12 )
& ( X0 != X1 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( a(X3) = 2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X0) = 5 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X3 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& $less(b(X2),4)
& $less(b(X0),4)
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X3 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X1 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X2) = 7 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X0 != X2 ) )
& ( z2 != z4 )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( b(X3) = 5 )
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( X1 != X2 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( X2 != X3 )
& ( X0 != X3 )
& ( X0 != X2 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( X2 != X3 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X1 != X3 )
& ( X0 != X2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 8 ) )
& ( z4 != z5 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X0) = 1 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X0) = 12 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( a(X3) = 2 )
& ( X1 != X3 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X2) = 6 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X3) = 1 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( b(X2) = 5 )
& ( X0 != X2 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( X1 != X3 ) ) )
=> ~ ( $less(z2,z1)
& ( b(z4) = 5 )
& ( a(z3) = 7 )
& ( a(z2) = 10 )
& ( a(z4) = 1 )
& ( a(z1) = 5 )
& $less(b(z2),3)
& ( b(z3) = 5 ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f4,plain,
~ ( ( ! [X2: $int,X1: $int,X0: $int] :
~ ( ( 10 = a(X2) )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(X2,X0)
& $less(b(X2),3)
& ( b(X0) = 5 )
& ( a(X1) = 6 ) )
& ! [X6: $int,X3: $int,X4: $int,X5: $int] :
~ ( ( 5 = a(X4) )
& ( 2 = b(X6) )
& ( X5 != X6 )
& ( X3 != X6 )
& ( 8 = a(X5) )
& ( 10 = a(X3) )
& ( X3 != X5 )
& $less(b(X3),3)
& $less(X3,X4)
& ( X3 != X4 )
& ( X4 != X6 )
& ( X4 != X5 ) )
& ! [X8: $int,X9: $int,X7: $int] :
~ ( ( 4 = a(X7) )
& ( X7 != X9 )
& ( X8 != X9 )
& ( X7 != X8 )
& ( 5 = b(X8) )
& ( 10 = a(X9) )
& ( 2 = b(X9) )
& ( 7 = a(X8) )
& $less(X9,X8) )
& ! [X10: $int,X11: $int,X12: $int] :
~ ( ( 6 = a(X10) )
& ( X10 != X11 )
& $less(X11,X10)
& ( 10 = a(X11) )
& ( X11 != X12 )
& ( 5 = b(X10) )
& ( 2 = b(X11) )
& ( 4 = a(X12) )
& ( X10 != X12 ) )
& ! [X16: $int,X15: $int,X13: $int,X14: $int] :
~ ( ( X13 != X15 )
& $less(b(X15),3)
& ( 2 = b(X13) )
& $less(X15,X16)
& ( X14 != X16 )
& ( 10 = a(X15) )
& ( 5 = a(X14) )
& ( 5 = b(X16) )
& ( X13 != X16 )
& ( X14 != X15 )
& ( X15 != X16 )
& ( X13 != X14 )
& ( 7 = a(X16) ) )
& ! [X19: $int,X18: $int,X17: $int] :
~ ( ( 5 = b(X17) )
& ( 10 = a(X18) )
& ( X17 != X19 )
& ( 5 = a(X19) )
& $less(X18,X17)
& ( X18 != X19 )
& ( 2 = b(X18) )
& ( 12 = a(X17) )
& ( X17 != X18 ) )
& ( z2 != z3 )
& ! [X22: $int,X23: $int,X20: $int,X21: $int] :
~ ( $less(b(X23),3)
& ( 4 = a(X20) )
& ( X22 != X23 )
& $less(X23,X20)
& ( X20 != X21 )
& ( 8 = a(X21) )
& ( X21 != X22 )
& ( 10 = a(X23) )
& ( X20 != X23 )
& ( X21 != X23 )
& ( 2 = b(X22) )
& ( X20 != X22 ) )
& ! [X27: $int,X26: $int,X24: $int,X25: $int] :
~ ( ( X26 != X27 )
& $less(X25,X26)
& ( X24 != X25 )
& ( X25 != X27 )
& ( 5 = b(X27) )
& ( 4 = a(X26) )
& ( 2 = a(X24) )
& $less(b(X25),3)
& ( X25 != X26 )
& ( X24 != X27 )
& ( X24 != X26 )
& ( 10 = a(X25) ) )
& ! [X29: $int,X30: $int,X28: $int] :
~ ( ( 2 = b(X28) )
& ( X29 != X30 )
& ( X28 != X29 )
& $less(X28,X30)
& ( 10 = a(X28) )
& ( X28 != X30 )
& ( 5 = b(X30) )
& ( 5 = a(X30) )
& ( 6 = a(X29) ) )
& ! [X34: $int,X33: $int,X32: $int,X31: $int] :
~ ( $less(X31,X33)
& ( X33 != X34 )
& $less(b(X31),3)
& ( X32 != X33 )
& ( X31 != X32 )
& ( X31 != X33 )
& ( X32 != X34 )
& ( 2 = b(X32) )
& ( X31 != X34 )
& ( 6 = a(X34) )
& ( 5 = b(X33) )
& ( 5 = a(X33) )
& ( 10 = a(X31) ) )
& ! [X36: $int,X35: $int,X37: $int] :
~ ( ( X35 != X37 )
& $less(b(X37),4)
& ( 2 = b(X35) )
& $less(X36,X37)
& ( 8 = a(X35) )
& ( 3 = a(X37) )
& ( 10 = a(X36) )
& ( X36 != X37 )
& $less(b(X36),3)
& ( X35 != X36 ) )
& ! [X39: $int,X38: $int,X40: $int] :
~ ( ( X39 != X40 )
& $less(X38,X40)
& ( 1 = a(X40) )
& ( 2 = b(X38) )
& ( X38 != X39 )
& ( 8 = a(X39) )
& ( 10 = a(X38) )
& $less(b(X39),4)
& ( X38 != X40 ) )
& ! [X42: $int,X41: $int,X44: $int,X43: $int] :
~ ( ( 4 = a(X44) )
& $less(b(X42),3)
& ( X41 != X43 )
& ( 2 = b(X43) )
& ( X42 != X43 )
& ( 10 = a(X42) )
& ( X42 != X44 )
& ( X41 != X42 )
& ( 5 = b(X41) )
& $less(X42,X44)
& ( X41 != X44 )
& ( X43 != X44 ) )
& ! [X46: $int,X47: $int,X45: $int,X48: $int] :
~ ( $less(X45,X47)
& ( X45 != X46 )
& ( 5 = a(X47) )
& ( X45 != X48 )
& ( X45 != X47 )
& $less(b(X45),3)
& ( X46 != X47 )
& ( X46 != X48 )
& ( 10 = a(X45) )
& ( 2 = a(X46) )
& ( 5 = b(X46) )
& ( X47 != X48 )
& ( 7 = a(X48) ) )
& ( z1 != z2 )
& ! [X51: $int,X49: $int,X50: $int] :
~ ( $less(b(X51),3)
& ( X50 != X51 )
& ( X49 != X51 )
& ( 2 = b(X49) )
& ( 10 = a(X51) )
& ( 2 = a(X50) )
& ( 8 = a(X49) )
& $less(X51,X50)
& ( X49 != X50 ) )
& ! [X53: $int,X54: $int,X52: $int] :
~ ( ( 2 = b(X54) )
& ( X53 != X54 )
& ( 2 = a(X52) )
& ( X52 != X53 )
& ( 10 = a(X54) )
& $less(X54,X52)
& ( X52 != X54 )
& $less(b(X53),4)
& ( 7 = a(X53) )
& ( 5 = b(X52) ) )
& ! [X57: $int,X58: $int,X55: $int,X56: $int] :
~ ( ( 5 = b(X55) )
& ( 7 = a(X58) )
& ( X55 != X56 )
& ( X57 != X58 )
& ( 12 = a(X57) )
& ( X55 != X58 )
& $less(b(X58),4)
& ( 10 = a(X56) )
& ( X56 != X57 )
& ( X55 != X57 )
& ( 2 = b(X56) )
& ( X56 != X58 )
& $less(X56,X57) )
& ! [X60: $int,X61: $int,X59: $int,X62: $int] :
~ ( ( 8 = a(X60) )
& ( X61 != X62 )
& ( X60 != X62 )
& $less(b(X60),4)
& ( 2 = b(X61) )
& ( X59 != X60 )
& ( X59 != X62 )
& ( X60 != X61 )
& ( X59 != X61 )
& ( 3 = a(X59) )
& $less(b(X62),3)
& $less(b(X59),4)
& $less(X62,X59)
& ( 10 = a(X62) ) )
& ! [X65: $int,X63: $int,X64: $int] :
~ ( ( 2 = b(X65) )
& ( X64 != X65 )
& ( 5 = b(X63) )
& ( X63 != X65 )
& ( 10 = a(X65) )
& ( X63 != X64 )
& $less(X65,X63)
& ( 7 = a(X64) )
& ( 4 = a(X63) ) )
& ! [X69: $int,X67: $int,X68: $int,X66: $int] :
~ ( ( X66 != X67 )
& ( X66 != X68 )
& $less(X67,X69)
& $less(b(X66),4)
& ( X66 != X69 )
& ( X68 != X69 )
& ( X67 != X68 )
& ( 2 = a(X69) )
& ( 5 = b(X68) )
& ( 7 = a(X66) )
& ( 2 = b(X67) )
& ( X67 != X69 )
& ( 10 = a(X67) ) )
& ! [X71: $int,X70: $int,X72: $int] :
~ ( ( 2 = b(X71) )
& ( 5 = b(X70) )
& ( X70 != X71 )
& ( X70 != X72 )
& $less(X71,X70)
& ( 5 = a(X72) )
& ( X71 != X72 )
& ( 4 = a(X70) )
& ( 10 = a(X71) ) )
& ! [X74: $int,X73: $int,X75: $int] :
~ ( $less(X74,X75)
& ( 2 = b(X74) )
& ( 1 = a(X75) )
& ( 6 = a(X73) )
& ( X73 != X74 )
& ( 10 = a(X74) )
& ( X74 != X75 )
& ( X73 != X75 )
& ( 5 = b(X75) ) )
& ( z1 != z4 )
& ! [X78: $int,X77: $int,X79: $int,X76: $int] :
~ ( ( 5 = b(X78) )
& ( 7 = a(X77) )
& ( 2 = b(X77) )
& $less(X79,X76)
& ( X76 != X78 )
& ( X77 != X79 )
& ( X76 != X77 )
& ( X76 != X79 )
& ( 10 = a(X79) )
& $less(b(X79),3)
& ( 2 = a(X76) )
& ( X78 != X79 )
& ( X77 != X78 ) )
& ( z3 != z4 )
& ! [X81: $int,X80: $int,X82: $int] :
~ ( ( 2 = b(X80) )
& ( X80 != X82 )
& ( X81 != X82 )
& ( 6 = a(X81) )
& $less(X80,X82)
& ( 5 = b(X82) )
& ( 10 = a(X80) )
& ( 12 = a(X82) )
& ( X80 != X81 ) )
& ! [X84: $int,X85: $int,X86: $int,X83: $int] :
~ ( ( X85 != X86 )
& ( X83 != X86 )
& ( X84 != X86 )
& ( 7 = a(X83) )
& ( X83 != X85 )
& ( 2 = b(X83) )
& $less(b(X84),3)
& ( 5 = b(X86) )
& ( X84 != X85 )
& $less(X84,X85)
& ( 10 = a(X84) )
& ( 3 = a(X85) )
& $less(b(X85),4)
& ( X83 != X84 ) )
& ! [X87: $int,X88: $int,X89: $int] :
~ ( ( X88 != X89 )
& ( 5 = b(X88) )
& ( 2 = b(X87) )
& ( X87 != X88 )
& ( 5 = a(X88) )
& $less(b(X89),3)
& ( 7 = a(X87) )
& ( X87 != X89 )
& $less(X89,X88)
& ( 10 = a(X89) ) )
& ! [X92: $int,X91: $int,X90: $int] :
~ ( ( 10 = a(X91) )
& $less(X91,X90)
& $less(b(X91),3)
& ( X91 != X92 )
& ( 7 = a(X92) )
& ( 5 = b(X90) )
& ( X90 != X92 )
& ( X90 != X91 )
& ( 1 = a(X90) )
& ( 2 = b(X92) ) )
& ! [X94: $int,X93: $int,X95: $int] :
~ ( ( X93 != X94 )
& $less(X93,X94)
& ( 2 = b(X95) )
& ( 4 = a(X94) )
& ( 8 = a(X95) )
& ( X93 != X95 )
& $less(b(X93),3)
& ( 10 = a(X93) )
& ( X94 != X95 ) )
& ! [X96: $int] :
( ~ $less(12,a(X96))
& ~ $less(a(X96),1) )
& ! [X97: $int,X99: $int,X98: $int] :
~ ( ( X98 != X99 )
& ( 10 = a(X98) )
& $less(X98,X97)
& ( 2 = b(X98) )
& ( 8 = a(X99) )
& ( 5 = a(X97) )
& ( X97 != X99 )
& ( X97 != X98 ) )
& ! [X102: $int,X100: $int,X103: $int,X101: $int] :
~ ( ( X101 != X103 )
& $less(b(X101),3)
& ( X100 != X102 )
& ( 1 = a(X100) )
& ( X100 != X101 )
& ( 8 = a(X103) )
& ( 10 = a(X101) )
& ( X100 != X103 )
& ( X102 != X103 )
& ( X101 != X102 )
& $less(X101,X102)
& ( 5 = a(X102) ) )
& ! [X105: $int,X106: $int,X104: $int] :
~ ( $less(X106,X104)
& ( 7 = a(X104) )
& ( 5 = b(X104) )
& ( 10 = a(X106) )
& ( 2 = b(X106) )
& ( X104 != X105 )
& ( X104 != X106 )
& ( X105 != X106 )
& ( 5 = a(X105) ) )
& ! [X109: $int,X108: $int,X107: $int] :
~ ( ( X107 != X109 )
& $less(X108,X107)
& ( X108 != X109 )
& ( 7 = a(X109) )
& ( X107 != X108 )
& ( 5 = b(X107) )
& ( 6 = a(X107) )
& $less(b(X108),3)
& ( 10 = a(X108) ) )
& ! [X111: $int,X110: $int,X112: $int] :
~ ( ( 12 = a(X111) )
& ( X110 != X111 )
& ( X110 != X112 )
& $less(X112,X111)
& ( X111 != X112 )
& ( 10 = a(X112) )
& ( 7 = a(X110) )
& $less(b(X112),3)
& ( 2 = b(X110) )
& ( 5 = b(X111) ) )
& ! [X115: $int,X113: $int,X114: $int,X116: $int] :
~ ( ( 4 = a(X116) )
& ( X113 != X116 )
& ( X114 != X116 )
& $less(b(X115),3)
& ( X114 != X115 )
& ( 5 = b(X113) )
& ( 2 = b(X114) )
& ( X113 != X114 )
& ( X113 != X115 )
& ( 10 = a(X115) )
& ( X115 != X116 )
& ( 7 = a(X113) )
& $less(X115,X113) )
& ! [X119: $int,X120: $int,X117: $int,X118: $int] :
~ ( ( X117 != X119 )
& ( X117 != X118 )
& ( X118 != X120 )
& ( X117 != X120 )
& ( 10 = a(X119) )
& ( X118 != X119 )
& $less(b(X119),3)
& ( X119 != X120 )
& $less(X119,X118)
& ( 2 = a(X120) )
& ( 8 = a(X117) )
& ( 4 = a(X118) ) )
& $true
& ! [X123: $int,X121: $int,X122: $int] :
~ ( ( X122 != X123 )
& $less(X123,X122)
& ( 5 = a(X122) )
& ( 10 = a(X123) )
& ( 2 = b(X123) )
& ( 4 = a(X121) )
& ( 5 = b(X122) )
& ( X121 != X122 )
& ( X121 != X123 ) )
& ! [X125: $int,X126: $int,X124: $int] :
~ ( ( 2 = b(X125) )
& ( X125 != X126 )
& ( 12 = a(X124) )
& ( X124 != X125 )
& ( 10 = a(X126) )
& ( X124 != X126 )
& ( 8 = a(X125) )
& $less(b(X126),3)
& $less(X126,X124) )
& ! [X129: $int,X128: $int,X127: $int] :
~ ( ( 10 = a(X127) )
& ( X128 != X129 )
& $less(X127,X128)
& ( 2 = b(X127) )
& ( 5 = b(X129) )
& ( 4 = a(X128) )
& ( X127 != X128 )
& ( X127 != X129 ) )
& ! [X131: $int,X130: $int,X132: $int] :
~ ( ( X131 != X132 )
& ( 8 = a(X131) )
& ( 1 = a(X132) )
& $less(X130,X132)
& ( 2 = b(X131) )
& ( X130 != X132 )
& ( X130 != X131 )
& $less(b(X130),3)
& ( 10 = a(X130) ) )
& ! [X136: $int,X135: $int,X133: $int,X134: $int] :
~ ( ( 10 = a(X135) )
& ( 2 = b(X134) )
& ( X135 != X136 )
& ( 5 = a(X136) )
& ( X133 != X136 )
& ( X133 != X135 )
& $less(X135,X136)
& ( X134 != X136 )
& ( X133 != X134 )
& $less(b(X135),3)
& ( 5 = b(X136) )
& ( 2 = b(X133) )
& ( X134 != X135 )
& ( 5 = a(X133) ) )
& ! [X139: $int,X137: $int,X138: $int] :
~ ( $less(b(X139),3)
& $less(X139,X137)
& ( X137 != X139 )
& ( X137 != X138 )
& ( 10 = a(X139) )
& ( X138 != X139 )
& ( 5 = b(X138) )
& ( 6 = a(X137) ) )
& ! [X143: $int,X142: $int,X140: $int,X141: $int] :
~ ( ( X140 != X143 )
& $less(X141,X143)
& ( 7 = a(X142) )
& ( X140 != X141 )
& ( 2 = b(X142) )
& ( 12 = a(X143) )
& ( X141 != X142 )
& ( X140 != X142 )
& ( 5 = b(X140) )
& ( 10 = a(X141) )
& ( X142 != X143 )
& $less(b(X141),3)
& ( X141 != X143 ) )
& ! [X145: $int,X144: $int,X147: $int,X146: $int] :
~ ( ( 10 = a(X146) )
& ( X144 != X146 )
& ( X144 != X147 )
& $less(b(X146),3)
& $less(X146,X145)
& ( X145 != X146 )
& ( X146 != X147 )
& ( 8 = a(X144) )
& ( X144 != X145 )
& ( 2 = a(X147) )
& ( 5 = a(X145) )
& ( X145 != X147 ) )
& ! [X149: $int,X148: $int,X150: $int] :
~ ( $less(X150,X148)
& ( 4 = a(X148) )
& ( 2 = b(X150) )
& ( X148 != X149 )
& ( 4 = a(X149) )
& ( 5 = b(X148) )
& ( X149 != X150 )
& ( 10 = a(X150) )
& ( X148 != X150 ) )
& ! [X152: $int,X153: $int,X154: $int,X151: $int] :
~ ( ( X151 != X152 )
& ( 2 = b(X151) )
& $less(b(X154),3)
& ( 1 = a(X153) )
& ( 10 = a(X154) )
& ( 5 = b(X152) )
& $less(X154,X153)
& ( X153 != X154 )
& ( X152 != X154 )
& ( 7 = a(X151) )
& ( X151 != X154 )
& ( X152 != X153 )
& ( X151 != X153 ) )
& ! [X156: $int,X155: $int,X157: $int] :
~ ( $less(X155,X156)
& ( 2 = b(X155) )
& ( 5 = b(X156) )
& ( X155 != X156 )
& ( 10 = a(X155) )
& ( 6 = a(X157) )
& ( X155 != X157 )
& ( 4 = a(X156) )
& ( X156 != X157 ) )
& ! [X158: $int,X160: $int,X159: $int] :
~ ( ( X158 != X159 )
& ( 10 = a(X158) )
& ( 2 = a(X159) )
& ( 5 = b(X159) )
& ( 7 = a(X160) )
& $less(X158,X159)
& ( X158 != X160 )
& $less(b(X158),3)
& ( X159 != X160 )
& ( 2 = b(X160) ) )
& ( z3 != z5 )
& ! [X161: $int] :
( ~ $less(b(X161),1)
& ~ $less(5,b(X161)) )
& ! [X164: $int,X162: $int,X163: $int] :
~ ( ( 10 = a(X164) )
& ( X163 != X164 )
& ( X162 != X163 )
& $less(X164,X163)
& ( 2 = b(X164) )
& ( X162 != X164 )
& ( 5 = a(X163) )
& ( 5 = b(X163) )
& ( 5 = a(X162) ) )
& ! [X166: $int,X165: $int,X168: $int,X167: $int] :
~ ( $less(b(X168),3)
& $less(X168,X167)
& ( X165 != X166 )
& ( 10 = a(X168) )
& ( X166 != X167 )
& ( X165 != X168 )
& ( 2 = b(X165) )
& ( 5 = b(X166) )
& ( 7 = a(X165) )
& ( X165 != X167 )
& ( 4 = a(X167) )
& ( X166 != X168 )
& ( X167 != X168 ) )
& ! [X170: $int,X171: $int,X169: $int] :
~ ( ( 5 = b(X170) )
& ( X169 != X171 )
& ( X169 != X170 )
& $less(b(X171),3)
& ( 6 = a(X169) )
& ( 10 = a(X171) )
& $less(X171,X170)
& ( 7 = a(X170) )
& ( X170 != X171 ) )
& ! [X173: $int,X172: $int,X175: $int,X174: $int] :
~ ( ( X172 != X175 )
& $less(b(X175),4)
& ( 10 = a(X173) )
& ( 5 = b(X174) )
& ( X174 != X175 )
& ( X173 != X174 )
& $less(X173,X172)
& ( 1 = a(X172) )
& ( X172 != X173 )
& ( 7 = a(X175) )
& ( X173 != X175 )
& ( 2 = b(X173) )
& ( X172 != X174 ) )
& ! [X177: $int,X176: $int,X178: $int] :
~ ( $less(b(X177),3)
& ( 5 = b(X178) )
& ( X176 != X178 )
& ( 7 = a(X178) )
& ( X176 != X177 )
& ( X177 != X178 )
& ( 7 = a(X176) )
& $less(X177,X178)
& ( 10 = a(X177) ) )
& ! [X180: $int,X181: $int,X179: $int] :
~ ( $less(X179,X181)
& ( 10 = a(X179) )
& $less(b(X180),4)
& ( 8 = a(X180) )
& ( 2 = b(X179) )
& ( X179 != X180 )
& ( X180 != X181 )
& ( 2 = a(X181) )
& ( X179 != X181 ) )
& ( z1 != z5 )
& ! [X184: $int,X182: $int,X183: $int] :
~ ( ( X182 != X183 )
& ( X183 != X184 )
& ( 7 = a(X183) )
& $less(b(X183),4)
& ( 1 = a(X184) )
& $less(X182,X184)
& ( 10 = a(X182) )
& ( X182 != X184 )
& ( 2 = b(X182) )
& ( 5 = b(X184) ) )
& ! [X186: $int,X185: $int,X187: $int] :
~ ( ( 10 = a(X187) )
& ( X185 != X186 )
& ( X186 != X187 )
& ( 2 = b(X185) )
& ( 6 = a(X185) )
& $less(X187,X186)
& ( 5 = b(X186) )
& $less(b(X187),3)
& ( X185 != X187 )
& ( 5 = a(X186) ) )
& ! [X189: $int,X188: $int] :
~ ( ( 10 = a(X189) )
& ( X188 != X189 )
& $less(b(X189),3)
& $less(X189,X188)
& ( 9 = a(X188) ) )
& ! [X192: $int,X190: $int,X191: $int] :
~ ( $less(X192,X190)
& ( 2 = b(X192) )
& ( X191 != X192 )
& ( 10 = a(X192) )
& ( X190 != X191 )
& ( 5 = a(X190) )
& ( 5 = b(X191) )
& ( X190 != X192 ) )
& ! [X194: $int,X195: $int,X193: $int] :
~ ( ( 2 = b(X193) )
& $less(X193,X194)
& ( 5 = b(X194) )
& ( 5 = a(X195) )
& ( 6 = a(X194) )
& ( X194 != X195 )
& ( 10 = a(X193) )
& ( X193 != X195 )
& ( X193 != X194 ) )
& ! [X196: $int,X198: $int,X197: $int] :
~ ( $less(X196,X197)
& ( 10 = a(X196) )
& ( 5 = b(X197) )
& ( 4 = a(X197) )
& ( X196 != X198 )
& ( X197 != X198 )
& $less(b(X196),3)
& ( 7 = a(X198) )
& ( X196 != X197 )
& ( 2 = b(X198) ) )
& ! [X201: $int,X200: $int,X199: $int] :
~ ( ( 10 = a(X200) )
& ( 8 = a(X199) )
& $less(X200,X201)
& ( X200 != X201 )
& ( 6 = a(X201) )
& ( X199 != X200 )
& ( X199 != X201 )
& $less(b(X200),3) )
& ( z1 != z3 )
& ! [X204: $int,X203: $int,X202: $int] :
~ ( ( 5 = a(X204) )
& ( 1 = a(X203) )
& ( 5 = b(X203) )
& ( 2 = b(X202) )
& ( X202 != X203 )
& $less(X202,X203)
& ( 10 = a(X202) )
& ( X203 != X204 )
& ( X202 != X204 ) )
& ( z2 != z5 )
& ! [X207: $int,X206: $int,X205: $int] :
~ ( ( X205 != X207 )
& ( 5 = b(X205) )
& ( X206 != X207 )
& ( 2 = a(X205) )
& ( 4 = a(X206) )
& ( 2 = b(X207) )
& ( 10 = a(X207) )
& ( X205 != X206 )
& $less(X207,X205) )
& ! [X208: $int,X210: $int,X209: $int,X211: $int] :
~ ( ( X209 != X210 )
& $less(b(X208),3)
& ( X209 != X211 )
& ( 5 = b(X211) )
& ( X208 != X209 )
& ( 10 = a(X208) )
& ( 4 = a(X209) )
& $less(X208,X209)
& ( X208 != X211 )
& ( 1 = a(X210) )
& ( X208 != X210 )
& ( X210 != X211 ) )
& ! [X212: $int,X213: $int] :
~ ( ( X212 != X213 )
& ( 10 = a(X212) )
& ( 10 = a(X213) ) )
& ! [X217: $int,X216: $int,X215: $int,X214: $int] :
~ ( ( X215 != X216 )
& ( X215 != X217 )
& ( 5 = b(X215) )
& ( 5 = a(X214) )
& $less(b(X217),3)
& ( 10 = a(X217) )
& ( X214 != X216 )
& ( X216 != X217 )
& ( 2 = b(X216) )
& ( X214 != X215 )
& ( X214 != X217 )
& $less(X217,X214) )
& ! [X218: $int,X220: $int,X219: $int] :
~ ( ( X218 != X220 )
& ( 10 = a(X218) )
& ( 5 = b(X219) )
& $less(X218,X220)
& $less(b(X218),3)
& ( X218 != X219 )
& ( 7 = a(X220) )
& ( X219 != X220 ) )
& ! [X223: $int,X222: $int,X221: $int] :
~ ( ( 7 = a(X223) )
& ( X221 != X223 )
& ( X221 != X222 )
& ( X222 != X223 )
& ( 10 = a(X222) )
& ( 8 = a(X221) )
& $less(X222,X223)
& $less(b(X222),3) )
& ! [X225: $int,X227: $int,X226: $int,X224: $int] :
~ ( ( X225 != X226 )
& ( 5 = b(X227) )
& $less(X226,X227)
& $less(b(X226),3)
& ( 5 = a(X224) )
& ( X224 != X226 )
& ( X225 != X227 )
& ( X224 != X225 )
& ( X224 != X227 )
& ( 2 = a(X225) )
& ( X226 != X227 )
& ( 10 = a(X226) )
& ( 7 = a(X227) ) )
& ! [X230: $int,X229: $int,X228: $int] :
~ ( ( X228 != X230 )
& ( 4 = a(X229) )
& ( 5 = b(X228) )
& $less(X230,X228)
& ( 2 = b(X230) )
& ( X228 != X229 )
& ( 10 = a(X230) )
& ( 12 = a(X228) )
& ( X229 != X230 ) )
& ! [X234: $int,X233: $int,X231: $int,X232: $int] :
~ ( ( X231 != X234 )
& ( X233 != X234 )
& $less(b(X234),3)
& ( 2 = a(X233) )
& ( 7 = a(X232) )
& ( X232 != X233 )
& ( 5 = a(X231) )
& ( 10 = a(X234) )
& $less(X234,X231)
& ( X231 != X233 )
& ( X231 != X232 )
& ( 5 = b(X231) )
& ( X232 != X234 ) )
& ! [X237: $int,X236: $int,X235: $int,X238: $int] :
~ ( ( 7 = a(X237) )
& ( X237 != X238 )
& ( X235 != X236 )
& ( 10 = a(X238) )
& $less(b(X238),3)
& ( 2 = b(X235) )
& ( 5 = b(X236) )
& ( X236 != X237 )
& ( X235 != X237 )
& $less(X238,X236)
& ( X236 != X238 )
& ( 4 = a(X236) )
& ( X235 != X238 ) )
& ! [X240: $int,X239: $int,X241: $int] :
~ ( ( 8 = a(X239) )
& ( 10 = a(X240) )
& ( X239 != X240 )
& ( X239 != X241 )
& ( X240 != X241 )
& ( 2 = b(X239) )
& ( 5 = a(X241) )
& $less(b(X240),3)
& $less(X240,X241) )
& ! [X243: $int,X242: $int,X244: $int] :
~ ( ( X242 != X244 )
& ( 2 = b(X243) )
& ( 10 = a(X243) )
& ( X243 != X244 )
& ( 3 = a(X244) )
& ( X242 != X243 )
& $less(X243,X244)
& $less(b(X244),4)
& ( 8 = a(X242) )
& $less(b(X242),4) )
& ! [X245: $int,X246: $int,X247: $int,X248: $int] :
~ ( ( X245 != X246 )
& ( 7 = a(X247) )
& ( X245 != X247 )
& ( X247 != X248 )
& $less(X246,X248)
& $less(b(X246),3)
& ( X245 != X248 )
& ( 5 = b(X248) )
& ( 10 = a(X246) )
& ( X246 != X248 )
& ( 5 = a(X248) )
& ( X246 != X247 )
& ( 2 = b(X245) ) )
& ! [X250: $int,X249: $int,X251: $int] :
~ ( ( X250 != X251 )
& ( X249 != X250 )
& ( 10 = a(X251) )
& ( 5 = b(X249) )
& ( 2 = b(X251) )
& ( X249 != X251 )
& ( 7 = a(X250) )
& ( 5 = a(X249) )
& $less(X251,X249) )
& ( z2 != z4 )
& ! [X253: $int,X254: $int,X255: $int,X252: $int] :
~ ( ( 3 = a(X254) )
& ( X253 != X255 )
& $less(X252,X254)
& ( 10 = a(X252) )
& ( X252 != X255 )
& ( X252 != X254 )
& ( 7 = a(X253) )
& $less(b(X253),4)
& ( X253 != X254 )
& $less(b(X254),4)
& ( X254 != X255 )
& ( 2 = b(X252) )
& ( 5 = b(X255) )
& ( X252 != X253 ) )
& ! [X259: $int,X256: $int,X257: $int,X258: $int] :
~ ( ( X256 != X259 )
& ( X257 != X258 )
& $less(X258,X259)
& ( X258 != X259 )
& ( X256 != X257 )
& ( 2 = b(X256) )
& ( 5 = b(X259) )
& ( 5 = a(X257) )
& ( X256 != X258 )
& ( 6 = a(X259) )
& ( 10 = a(X258) )
& $less(b(X258),3)
& ( X257 != X259 ) )
& ! [X260: $int,X261: $int] :
~ ( $less(b(X261),3)
& $less(X261,X260)
& ( 10 = a(X261) )
& ( X260 != X261 )
& ( 8 = a(X260) ) )
& ( z4 != z5 )
& ! [X264: $int,X262: $int,X263: $int] :
~ ( ( 2 = b(X263) )
& $less(X263,X262)
& ( X263 != X264 )
& ( X262 != X263 )
& ( 5 = b(X262) )
& ( 10 = a(X263) )
& ( 1 = a(X262) )
& ( 4 = a(X264) )
& ( X262 != X264 ) )
& ! [X266: $int,X265: $int,X267: $int] :
~ ( ( X265 != X267 )
& $less(X267,X266)
& ( 12 = a(X266) )
& ( X266 != X267 )
& ( X265 != X266 )
& ( 10 = a(X267) )
& ( 2 = b(X267) )
& ( 8 = a(X265) )
& $less(b(X265),4) )
& ! [X270: $int,X268: $int,X269: $int] :
~ ( ( 2 = b(X270) )
& ( 12 = a(X268) )
& ( X269 != X270 )
& ( 7 = a(X269) )
& $less(X270,X268)
& ( 5 = b(X268) )
& ( X268 != X270 )
& ( X268 != X269 )
& $less(b(X269),4)
& ( 10 = a(X270) ) )
& ! [X272: $int,X271: $int,X274: $int,X273: $int] :
~ ( ( X271 != X274 )
& ( X271 != X273 )
& $less(X272,X274)
& ( 2 = a(X271) )
& ( X271 != X272 )
& ( 5 = b(X273) )
& ( 5 = a(X274) )
& ( X272 != X274 )
& ( X273 != X274 )
& ( X272 != X273 )
& $less(b(X272),3)
& ( 10 = a(X272) ) )
& ! [X275: $int,X277: $int,X276: $int] :
~ ( ( X276 != X277 )
& ( X275 != X277 )
& ( X275 != X276 )
& ( 2 = b(X276) )
& ( 6 = a(X275) )
& $less(X276,X277)
& ( 10 = a(X276) )
& ( 2 = a(X277) )
& ( 5 = b(X277) ) )
& ! [X280: $int,X278: $int,X279: $int] :
~ ( ( X279 != X280 )
& ( 2 = b(X279) )
& ( X278 != X280 )
& ( 10 = a(X279) )
& ( 4 = a(X280) )
& ( 8 = a(X278) )
& ( X278 != X279 )
& $less(X279,X280) )
& ! [X281: $int,X282: $int,X283: $int] :
~ ( ( 2 = b(X283) )
& $less(X283,X282)
& ( 10 = a(X283) )
& ( 2 = a(X282) )
& ( X281 != X282 )
& ( X282 != X283 )
& ( 5 = a(X281) )
& ( 5 = b(X282) )
& ( X281 != X283 ) )
& ! [X285: $int,X287: $int,X286: $int,X284: $int] :
~ ( ( 5 = b(X287) )
& ( 5 = a(X285) )
& ( X285 != X287 )
& ( X285 != X286 )
& $less(X284,X285)
& ( 1 = a(X286) )
& ( X284 != X287 )
& ( X286 != X287 )
& $less(b(X284),3)
& ( 10 = a(X284) )
& ( X284 != X286 )
& ( X284 != X285 ) ) )
=> ~ ( $less(z2,z1)
& ( b(z4) = 5 )
& ( a(z3) = 7 )
& ( a(z2) = 10 )
& ( a(z4) = 1 )
& ( a(z1) = 5 )
& $less(b(z2),3)
& ( b(z3) = 5 ) ) ),
inference(rectify,[],[f3]) ).
tff(f5,plain,
~ ( ( ! [X27: $int,X26: $int,X24: $int,X25: $int] :
~ ( ( X26 != X27 )
& $less(X25,X26)
& ( X24 != X25 )
& ( X25 != X27 )
& ( 5 = b(X27) )
& ( 4 = a(X26) )
& ( 2 = a(X24) )
& $less(b(X25),3)
& ( X25 != X26 )
& ( X24 != X27 )
& ( X24 != X26 )
& ( 10 = a(X25) ) )
& ! [X223: $int,X222: $int,X221: $int] :
~ ( ( 7 = a(X223) )
& ( X221 != X223 )
& ( X221 != X222 )
& ( X222 != X223 )
& ( 10 = a(X222) )
& ( 8 = a(X221) )
& $less(X222,X223)
& $less(b(X222),3) )
& ! [X129: $int,X128: $int,X127: $int] :
~ ( ( 10 = a(X127) )
& ( X128 != X129 )
& $less(X127,X128)
& ( 2 = b(X127) )
& ( 5 = b(X129) )
& ( 4 = a(X128) )
& ( X127 != X128 )
& ( X127 != X129 ) )
& ( z1 != z3 )
& ! [X253: $int,X254: $int,X255: $int,X252: $int] :
~ ( ( 3 = a(X254) )
& ( X253 != X255 )
& $less(X252,X254)
& ( 10 = a(X252) )
& ( X252 != X255 )
& ( X252 != X254 )
& ( 7 = a(X253) )
& $less(b(X253),4)
& ( X253 != X254 )
& $less(b(X254),4)
& ( X254 != X255 )
& ( 2 = b(X252) )
& ( 5 = b(X255) )
& ( X252 != X253 ) )
& ! [X259: $int,X256: $int,X257: $int,X258: $int] :
~ ( ( X256 != X259 )
& ( X257 != X258 )
& $less(X258,X259)
& ( X258 != X259 )
& ( X256 != X257 )
& ( 2 = b(X256) )
& ( 5 = b(X259) )
& ( 5 = a(X257) )
& ( X256 != X258 )
& ( 6 = a(X259) )
& ( 10 = a(X258) )
& $less(b(X258),3)
& ( X257 != X259 ) )
& ! [X102: $int,X100: $int,X103: $int,X101: $int] :
~ ( ( X101 != X103 )
& $less(b(X101),3)
& ( X100 != X102 )
& ( 1 = a(X100) )
& ( X100 != X101 )
& ( 8 = a(X103) )
& ( 10 = a(X101) )
& ( X100 != X103 )
& ( X102 != X103 )
& ( X101 != X102 )
& $less(X101,X102)
& ( 5 = a(X102) ) )
& ! [X270: $int,X268: $int,X269: $int] :
~ ( ( 2 = b(X270) )
& ( 12 = a(X268) )
& ( X269 != X270 )
& ( 7 = a(X269) )
& $less(X270,X268)
& ( 5 = b(X268) )
& ( X268 != X270 )
& ( X268 != X269 )
& $less(b(X269),4)
& ( 10 = a(X270) ) )
& ! [X81: $int,X80: $int,X82: $int] :
~ ( ( 2 = b(X80) )
& ( X80 != X82 )
& ( X81 != X82 )
& ( 6 = a(X81) )
& $less(X80,X82)
& ( 5 = b(X82) )
& ( 10 = a(X80) )
& ( 12 = a(X82) )
& ( X80 != X81 ) )
& ! [X145: $int,X144: $int,X147: $int,X146: $int] :
~ ( ( 10 = a(X146) )
& ( X144 != X146 )
& ( X144 != X147 )
& $less(b(X146),3)
& $less(X146,X145)
& ( X145 != X146 )
& ( X146 != X147 )
& ( 8 = a(X144) )
& ( X144 != X145 )
& ( 2 = a(X147) )
& ( 5 = a(X145) )
& ( X145 != X147 ) )
& ! [X139: $int,X137: $int,X138: $int] :
~ ( $less(b(X139),3)
& $less(X139,X137)
& ( X137 != X139 )
& ( X137 != X138 )
& ( 10 = a(X139) )
& ( X138 != X139 )
& ( 5 = b(X138) )
& ( 6 = a(X137) ) )
& ! [X97: $int,X99: $int,X98: $int] :
~ ( ( X98 != X99 )
& ( 10 = a(X98) )
& $less(X98,X97)
& ( 2 = b(X98) )
& ( 8 = a(X99) )
& ( 5 = a(X97) )
& ( X97 != X99 )
& ( X97 != X98 ) )
& ! [X196: $int,X198: $int,X197: $int] :
~ ( $less(X196,X197)
& ( 10 = a(X196) )
& ( 5 = b(X197) )
& ( 4 = a(X197) )
& ( X196 != X198 )
& ( X197 != X198 )
& $less(b(X196),3)
& ( 7 = a(X198) )
& ( X196 != X197 )
& ( 2 = b(X198) ) )
& ! [X65: $int,X63: $int,X64: $int] :
~ ( ( 2 = b(X65) )
& ( X64 != X65 )
& ( 5 = b(X63) )
& ( X63 != X65 )
& ( 10 = a(X65) )
& ( X63 != X64 )
& $less(X65,X63)
& ( 7 = a(X64) )
& ( 4 = a(X63) ) )
& ( z4 != z5 )
& ! [X280: $int,X278: $int,X279: $int] :
~ ( ( X279 != X280 )
& ( 2 = b(X279) )
& ( X278 != X280 )
& ( 10 = a(X279) )
& ( 4 = a(X280) )
& ( 8 = a(X278) )
& ( X278 != X279 )
& $less(X279,X280) )
& ! [X119: $int,X120: $int,X117: $int,X118: $int] :
~ ( ( X117 != X119 )
& ( X117 != X118 )
& ( X118 != X120 )
& ( X117 != X120 )
& ( 10 = a(X119) )
& ( X118 != X119 )
& $less(b(X119),3)
& ( X119 != X120 )
& $less(X119,X118)
& ( 2 = a(X120) )
& ( 8 = a(X117) )
& ( 4 = a(X118) ) )
& ! [X281: $int,X282: $int,X283: $int] :
~ ( ( 2 = b(X283) )
& $less(X283,X282)
& ( 10 = a(X283) )
& ( 2 = a(X282) )
& ( X281 != X282 )
& ( X282 != X283 )
& ( 5 = a(X281) )
& ( 5 = b(X282) )
& ( X281 != X283 ) )
& ! [X184: $int,X182: $int,X183: $int] :
~ ( ( X182 != X183 )
& ( X183 != X184 )
& ( 7 = a(X183) )
& $less(b(X183),4)
& ( 1 = a(X184) )
& $less(X182,X184)
& ( 10 = a(X182) )
& ( X182 != X184 )
& ( 2 = b(X182) )
& ( 5 = b(X184) ) )
& ! [X177: $int,X176: $int,X178: $int] :
~ ( $less(b(X177),3)
& ( 5 = b(X178) )
& ( X176 != X178 )
& ( 7 = a(X178) )
& ( X176 != X177 )
& ( X177 != X178 )
& ( 7 = a(X176) )
& $less(X177,X178)
& ( 10 = a(X177) ) )
& ( z2 != z3 )
& ! [X22: $int,X23: $int,X20: $int,X21: $int] :
~ ( $less(b(X23),3)
& ( 4 = a(X20) )
& ( X22 != X23 )
& $less(X23,X20)
& ( X20 != X21 )
& ( 8 = a(X21) )
& ( X21 != X22 )
& ( 10 = a(X23) )
& ( X20 != X23 )
& ( X21 != X23 )
& ( 2 = b(X22) )
& ( X20 != X22 ) )
& ! [X39: $int,X38: $int,X40: $int] :
~ ( ( X39 != X40 )
& $less(X38,X40)
& ( 1 = a(X40) )
& ( 2 = b(X38) )
& ( X38 != X39 )
& ( 8 = a(X39) )
& ( 10 = a(X38) )
& $less(b(X39),4)
& ( X38 != X40 ) )
& ! [X69: $int,X67: $int,X68: $int,X66: $int] :
~ ( ( X66 != X67 )
& ( X66 != X68 )
& $less(X67,X69)
& $less(b(X66),4)
& ( X66 != X69 )
& ( X68 != X69 )
& ( X67 != X68 )
& ( 2 = a(X69) )
& ( 5 = b(X68) )
& ( 7 = a(X66) )
& ( 2 = b(X67) )
& ( X67 != X69 )
& ( 10 = a(X67) ) )
& ! [X225: $int,X227: $int,X226: $int,X224: $int] :
~ ( ( X225 != X226 )
& ( 5 = b(X227) )
& $less(X226,X227)
& $less(b(X226),3)
& ( 5 = a(X224) )
& ( X224 != X226 )
& ( X225 != X227 )
& ( X224 != X225 )
& ( X224 != X227 )
& ( 2 = a(X225) )
& ( X226 != X227 )
& ( 10 = a(X226) )
& ( 7 = a(X227) ) )
& ! [X34: $int,X33: $int,X32: $int,X31: $int] :
~ ( $less(X31,X33)
& ( X33 != X34 )
& $less(b(X31),3)
& ( X32 != X33 )
& ( X31 != X32 )
& ( X31 != X33 )
& ( X32 != X34 )
& ( 2 = b(X32) )
& ( X31 != X34 )
& ( 6 = a(X34) )
& ( 5 = b(X33) )
& ( 5 = a(X33) )
& ( 10 = a(X31) ) )
& ! [X19: $int,X18: $int,X17: $int] :
~ ( ( 5 = b(X17) )
& ( 10 = a(X18) )
& ( X17 != X19 )
& ( 5 = a(X19) )
& $less(X18,X17)
& ( X18 != X19 )
& ( 2 = b(X18) )
& ( 12 = a(X17) )
& ( X17 != X18 ) )
& ! [X201: $int,X200: $int,X199: $int] :
~ ( ( 10 = a(X200) )
& ( 8 = a(X199) )
& $less(X200,X201)
& ( X200 != X201 )
& ( 6 = a(X201) )
& ( X199 != X200 )
& ( X199 != X201 )
& $less(b(X200),3) )
& ! [X46: $int,X47: $int,X45: $int,X48: $int] :
~ ( $less(X45,X47)
& ( X45 != X46 )
& ( 5 = a(X47) )
& ( X45 != X48 )
& ( X45 != X47 )
& $less(b(X45),3)
& ( X46 != X47 )
& ( X46 != X48 )
& ( 10 = a(X45) )
& ( 2 = a(X46) )
& ( 5 = b(X46) )
& ( X47 != X48 )
& ( 7 = a(X48) ) )
& ! [X152: $int,X153: $int,X154: $int,X151: $int] :
~ ( ( X151 != X152 )
& ( 2 = b(X151) )
& $less(b(X154),3)
& ( 1 = a(X153) )
& ( 10 = a(X154) )
& ( 5 = b(X152) )
& $less(X154,X153)
& ( X153 != X154 )
& ( X152 != X154 )
& ( 7 = a(X151) )
& ( X151 != X154 )
& ( X152 != X153 )
& ( X151 != X153 ) )
& ! [X71: $int,X70: $int,X72: $int] :
~ ( ( 2 = b(X71) )
& ( 5 = b(X70) )
& ( X70 != X71 )
& ( X70 != X72 )
& $less(X71,X70)
& ( 5 = a(X72) )
& ( X71 != X72 )
& ( 4 = a(X70) )
& ( 10 = a(X71) ) )
& ! [X275: $int,X277: $int,X276: $int] :
~ ( ( X276 != X277 )
& ( X275 != X277 )
& ( X275 != X276 )
& ( 2 = b(X276) )
& ( 6 = a(X275) )
& $less(X276,X277)
& ( 10 = a(X276) )
& ( 2 = a(X277) )
& ( 5 = b(X277) ) )
& ! [X131: $int,X130: $int,X132: $int] :
~ ( ( X131 != X132 )
& ( 8 = a(X131) )
& ( 1 = a(X132) )
& $less(X130,X132)
& ( 2 = b(X131) )
& ( X130 != X132 )
& ( X130 != X131 )
& $less(b(X130),3)
& ( 10 = a(X130) ) )
& ! [X285: $int,X287: $int,X286: $int,X284: $int] :
~ ( ( 5 = b(X287) )
& ( 5 = a(X285) )
& ( X285 != X287 )
& ( X285 != X286 )
& $less(X284,X285)
& ( 1 = a(X286) )
& ( X284 != X287 )
& ( X286 != X287 )
& $less(b(X284),3)
& ( 10 = a(X284) )
& ( X284 != X286 )
& ( X284 != X285 ) )
& ! [X96: $int] :
( ~ $less(12,a(X96))
& ~ $less(a(X96),1) )
& ! [X156: $int,X155: $int,X157: $int] :
~ ( $less(X155,X156)
& ( 2 = b(X155) )
& ( 5 = b(X156) )
& ( X155 != X156 )
& ( 10 = a(X155) )
& ( 6 = a(X157) )
& ( X155 != X157 )
& ( 4 = a(X156) )
& ( X156 != X157 ) )
& ! [X158: $int,X160: $int,X159: $int] :
~ ( ( X158 != X159 )
& ( 10 = a(X158) )
& ( 2 = a(X159) )
& ( 5 = b(X159) )
& ( 7 = a(X160) )
& $less(X158,X159)
& ( X158 != X160 )
& $less(b(X158),3)
& ( X159 != X160 )
& ( 2 = b(X160) ) )
& ! [X105: $int,X106: $int,X104: $int] :
~ ( $less(X106,X104)
& ( 7 = a(X104) )
& ( 5 = b(X104) )
& ( 10 = a(X106) )
& ( 2 = b(X106) )
& ( X104 != X105 )
& ( X104 != X106 )
& ( X105 != X106 )
& ( 5 = a(X105) ) )
& ! [X109: $int,X108: $int,X107: $int] :
~ ( ( X107 != X109 )
& $less(X108,X107)
& ( X108 != X109 )
& ( 7 = a(X109) )
& ( X107 != X108 )
& ( 5 = b(X107) )
& ( 6 = a(X107) )
& $less(b(X108),3)
& ( 10 = a(X108) ) )
& ( z2 != z4 )
& ! [X194: $int,X195: $int,X193: $int] :
~ ( ( 2 = b(X193) )
& $less(X193,X194)
& ( 5 = b(X194) )
& ( 5 = a(X195) )
& ( 6 = a(X194) )
& ( X194 != X195 )
& ( 10 = a(X193) )
& ( X193 != X195 )
& ( X193 != X194 ) )
& ! [X60: $int,X61: $int,X59: $int,X62: $int] :
~ ( ( 8 = a(X60) )
& ( X61 != X62 )
& ( X60 != X62 )
& $less(b(X60),4)
& ( 2 = b(X61) )
& ( X59 != X60 )
& ( X59 != X62 )
& ( X60 != X61 )
& ( X59 != X61 )
& ( 3 = a(X59) )
& $less(b(X62),3)
& $less(b(X59),4)
& $less(X62,X59)
& ( 10 = a(X62) ) )
& ! [X92: $int,X91: $int,X90: $int] :
~ ( ( 10 = a(X91) )
& $less(X91,X90)
& $less(b(X91),3)
& ( X91 != X92 )
& ( 7 = a(X92) )
& ( 5 = b(X90) )
& ( X90 != X92 )
& ( X90 != X91 )
& ( 1 = a(X90) )
& ( 2 = b(X92) ) )
& ! [X161: $int] :
( ~ $less(b(X161),1)
& ~ $less(5,b(X161)) )
& ! [X57: $int,X58: $int,X55: $int,X56: $int] :
~ ( ( 5 = b(X55) )
& ( 7 = a(X58) )
& ( X55 != X56 )
& ( X57 != X58 )
& ( 12 = a(X57) )
& ( X55 != X58 )
& $less(b(X58),4)
& ( 10 = a(X56) )
& ( X56 != X57 )
& ( X55 != X57 )
& ( 2 = b(X56) )
& ( X56 != X58 )
& $less(X56,X57) )
& ! [X218: $int,X220: $int,X219: $int] :
~ ( ( X218 != X220 )
& ( 10 = a(X218) )
& ( 5 = b(X219) )
& $less(X218,X220)
& $less(b(X218),3)
& ( X218 != X219 )
& ( 7 = a(X220) )
& ( X219 != X220 ) )
& ! [X204: $int,X203: $int,X202: $int] :
~ ( ( 5 = a(X204) )
& ( 1 = a(X203) )
& ( 5 = b(X203) )
& ( 2 = b(X202) )
& ( X202 != X203 )
& $less(X202,X203)
& ( 10 = a(X202) )
& ( X203 != X204 )
& ( X202 != X204 ) )
& ! [X245: $int,X246: $int,X247: $int,X248: $int] :
~ ( ( X245 != X246 )
& ( 7 = a(X247) )
& ( X245 != X247 )
& ( X247 != X248 )
& $less(X246,X248)
& $less(b(X246),3)
& ( X245 != X248 )
& ( 5 = b(X248) )
& ( 10 = a(X246) )
& ( X246 != X248 )
& ( 5 = a(X248) )
& ( X246 != X247 )
& ( 2 = b(X245) ) )
& ! [X94: $int,X93: $int,X95: $int] :
~ ( ( X93 != X94 )
& $less(X93,X94)
& ( 2 = b(X95) )
& ( 4 = a(X94) )
& ( 8 = a(X95) )
& ( X93 != X95 )
& $less(b(X93),3)
& ( 10 = a(X93) )
& ( X94 != X95 ) )
& ! [X240: $int,X239: $int,X241: $int] :
~ ( ( 8 = a(X239) )
& ( 10 = a(X240) )
& ( X239 != X240 )
& ( X239 != X241 )
& ( X240 != X241 )
& ( 2 = b(X239) )
& ( 5 = a(X241) )
& $less(b(X240),3)
& $less(X240,X241) )
& ! [X111: $int,X110: $int,X112: $int] :
~ ( ( 12 = a(X111) )
& ( X110 != X111 )
& ( X110 != X112 )
& $less(X112,X111)
& ( X111 != X112 )
& ( 10 = a(X112) )
& ( 7 = a(X110) )
& $less(b(X112),3)
& ( 2 = b(X110) )
& ( 5 = b(X111) ) )
& ! [X180: $int,X181: $int,X179: $int] :
~ ( $less(X179,X181)
& ( 10 = a(X179) )
& $less(b(X180),4)
& ( 8 = a(X180) )
& ( 2 = b(X179) )
& ( X179 != X180 )
& ( X180 != X181 )
& ( 2 = a(X181) )
& ( X179 != X181 ) )
& ! [X8: $int,X9: $int,X7: $int] :
~ ( ( 4 = a(X7) )
& ( X7 != X9 )
& ( X8 != X9 )
& ( X7 != X8 )
& ( 5 = b(X8) )
& ( 10 = a(X9) )
& ( 2 = b(X9) )
& ( 7 = a(X8) )
& $less(X9,X8) )
& ! [X234: $int,X233: $int,X231: $int,X232: $int] :
~ ( ( X231 != X234 )
& ( X233 != X234 )
& $less(b(X234),3)
& ( 2 = a(X233) )
& ( 7 = a(X232) )
& ( X232 != X233 )
& ( 5 = a(X231) )
& ( 10 = a(X234) )
& $less(X234,X231)
& ( X231 != X233 )
& ( X231 != X232 )
& ( 5 = b(X231) )
& ( X232 != X234 ) )
& ! [X266: $int,X265: $int,X267: $int] :
~ ( ( X265 != X267 )
& $less(X267,X266)
& ( 12 = a(X266) )
& ( X266 != X267 )
& ( X265 != X266 )
& ( 10 = a(X267) )
& ( 2 = b(X267) )
& ( 8 = a(X265) )
& $less(b(X265),4) )
& ! [X189: $int,X188: $int] :
~ ( ( 10 = a(X189) )
& ( X188 != X189 )
& $less(b(X189),3)
& $less(X189,X188)
& ( 9 = a(X188) ) )
& ! [X6: $int,X3: $int,X4: $int,X5: $int] :
~ ( ( 5 = a(X4) )
& ( 2 = b(X6) )
& ( X5 != X6 )
& ( X3 != X6 )
& ( 8 = a(X5) )
& ( 10 = a(X3) )
& ( X3 != X5 )
& $less(b(X3),3)
& $less(X3,X4)
& ( X3 != X4 )
& ( X4 != X6 )
& ( X4 != X5 ) )
& ! [X170: $int,X171: $int,X169: $int] :
~ ( ( 5 = b(X170) )
& ( X169 != X171 )
& ( X169 != X170 )
& $less(b(X171),3)
& ( 6 = a(X169) )
& ( 10 = a(X171) )
& $less(X171,X170)
& ( 7 = a(X170) )
& ( X170 != X171 ) )
& ! [X10: $int,X11: $int,X12: $int] :
~ ( ( 6 = a(X10) )
& ( X10 != X11 )
& $less(X11,X10)
& ( 10 = a(X11) )
& ( X11 != X12 )
& ( 5 = b(X10) )
& ( 2 = b(X11) )
& ( 4 = a(X12) )
& ( X10 != X12 ) )
& ! [X84: $int,X85: $int,X86: $int,X83: $int] :
~ ( ( X85 != X86 )
& ( X83 != X86 )
& ( X84 != X86 )
& ( 7 = a(X83) )
& ( X83 != X85 )
& ( 2 = b(X83) )
& $less(b(X84),3)
& ( 5 = b(X86) )
& ( X84 != X85 )
& $less(X84,X85)
& ( 10 = a(X84) )
& ( 3 = a(X85) )
& $less(b(X85),4)
& ( X83 != X84 ) )
& ( z1 != z5 )
& ! [X115: $int,X113: $int,X114: $int,X116: $int] :
~ ( ( 4 = a(X116) )
& ( X113 != X116 )
& ( X114 != X116 )
& $less(b(X115),3)
& ( X114 != X115 )
& ( 5 = b(X113) )
& ( 2 = b(X114) )
& ( X113 != X114 )
& ( X113 != X115 )
& ( 10 = a(X115) )
& ( X115 != X116 )
& ( 7 = a(X113) )
& $less(X115,X113) )
& ! [X36: $int,X35: $int,X37: $int] :
~ ( ( X35 != X37 )
& $less(b(X37),4)
& ( 2 = b(X35) )
& $less(X36,X37)
& ( 8 = a(X35) )
& ( 3 = a(X37) )
& ( 10 = a(X36) )
& ( X36 != X37 )
& $less(b(X36),3)
& ( X35 != X36 ) )
& ! [X212: $int,X213: $int] :
~ ( ( X212 != X213 )
& ( 10 = a(X212) )
& ( 10 = a(X213) ) )
& ( z2 != z5 )
& ! [X230: $int,X229: $int,X228: $int] :
~ ( ( X228 != X230 )
& ( 4 = a(X229) )
& ( 5 = b(X228) )
& $less(X230,X228)
& ( 2 = b(X230) )
& ( X228 != X229 )
& ( 10 = a(X230) )
& ( 12 = a(X228) )
& ( X229 != X230 ) )
& ! [X149: $int,X148: $int,X150: $int] :
~ ( $less(X150,X148)
& ( 4 = a(X148) )
& ( 2 = b(X150) )
& ( X148 != X149 )
& ( 4 = a(X149) )
& ( 5 = b(X148) )
& ( X149 != X150 )
& ( 10 = a(X150) )
& ( X148 != X150 ) )
& ! [X74: $int,X73: $int,X75: $int] :
~ ( $less(X74,X75)
& ( 2 = b(X74) )
& ( 1 = a(X75) )
& ( 6 = a(X73) )
& ( X73 != X74 )
& ( 10 = a(X74) )
& ( X74 != X75 )
& ( X73 != X75 )
& ( 5 = b(X75) ) )
& ( z3 != z5 )
& ! [X237: $int,X236: $int,X235: $int,X238: $int] :
~ ( ( 7 = a(X237) )
& ( X237 != X238 )
& ( X235 != X236 )
& ( 10 = a(X238) )
& $less(b(X238),3)
& ( 2 = b(X235) )
& ( 5 = b(X236) )
& ( X236 != X237 )
& ( X235 != X237 )
& $less(X238,X236)
& ( X236 != X238 )
& ( 4 = a(X236) )
& ( X235 != X238 ) )
& ! [X217: $int,X216: $int,X215: $int,X214: $int] :
~ ( ( X215 != X216 )
& ( X215 != X217 )
& ( 5 = b(X215) )
& ( 5 = a(X214) )
& $less(b(X217),3)
& ( 10 = a(X217) )
& ( X214 != X216 )
& ( X216 != X217 )
& ( 2 = b(X216) )
& ( X214 != X215 )
& ( X214 != X217 )
& $less(X217,X214) )
& ! [X250: $int,X249: $int,X251: $int] :
~ ( ( X250 != X251 )
& ( X249 != X250 )
& ( 10 = a(X251) )
& ( 5 = b(X249) )
& ( 2 = b(X251) )
& ( X249 != X251 )
& ( 7 = a(X250) )
& ( 5 = a(X249) )
& $less(X251,X249) )
& ! [X42: $int,X41: $int,X44: $int,X43: $int] :
~ ( ( 4 = a(X44) )
& $less(b(X42),3)
& ( X41 != X43 )
& ( 2 = b(X43) )
& ( X42 != X43 )
& ( 10 = a(X42) )
& ( X42 != X44 )
& ( X41 != X42 )
& ( 5 = b(X41) )
& $less(X42,X44)
& ( X41 != X44 )
& ( X43 != X44 ) )
& ! [X207: $int,X206: $int,X205: $int] :
~ ( ( X205 != X207 )
& ( 5 = b(X205) )
& ( X206 != X207 )
& ( 2 = a(X205) )
& ( 4 = a(X206) )
& ( 2 = b(X207) )
& ( 10 = a(X207) )
& ( X205 != X206 )
& $less(X207,X205) )
& ! [X29: $int,X30: $int,X28: $int] :
~ ( ( 2 = b(X28) )
& ( X29 != X30 )
& ( X28 != X29 )
& $less(X28,X30)
& ( 10 = a(X28) )
& ( X28 != X30 )
& ( 5 = b(X30) )
& ( 5 = a(X30) )
& ( 6 = a(X29) ) )
& ! [X16: $int,X15: $int,X13: $int,X14: $int] :
~ ( ( X13 != X15 )
& $less(b(X15),3)
& ( 2 = b(X13) )
& $less(X15,X16)
& ( X14 != X16 )
& ( 10 = a(X15) )
& ( 5 = a(X14) )
& ( 5 = b(X16) )
& ( X13 != X16 )
& ( X14 != X15 )
& ( X15 != X16 )
& ( X13 != X14 )
& ( 7 = a(X16) ) )
& ! [X125: $int,X126: $int,X124: $int] :
~ ( ( 2 = b(X125) )
& ( X125 != X126 )
& ( 12 = a(X124) )
& ( X124 != X125 )
& ( 10 = a(X126) )
& ( X124 != X126 )
& ( 8 = a(X125) )
& $less(b(X126),3)
& $less(X126,X124) )
& ! [X272: $int,X271: $int,X274: $int,X273: $int] :
~ ( ( X271 != X274 )
& ( X271 != X273 )
& $less(X272,X274)
& ( 2 = a(X271) )
& ( X271 != X272 )
& ( 5 = b(X273) )
& ( 5 = a(X274) )
& ( X272 != X274 )
& ( X273 != X274 )
& ( X272 != X273 )
& $less(b(X272),3)
& ( 10 = a(X272) ) )
& ( z1 != z4 )
& ! [X264: $int,X262: $int,X263: $int] :
~ ( ( 2 = b(X263) )
& $less(X263,X262)
& ( X263 != X264 )
& ( X262 != X263 )
& ( 5 = b(X262) )
& ( 10 = a(X263) )
& ( 1 = a(X262) )
& ( 4 = a(X264) )
& ( X262 != X264 ) )
& ! [X260: $int,X261: $int] :
~ ( $less(b(X261),3)
& $less(X261,X260)
& ( 10 = a(X261) )
& ( X260 != X261 )
& ( 8 = a(X260) ) )
& ! [X243: $int,X242: $int,X244: $int] :
~ ( ( X242 != X244 )
& ( 2 = b(X243) )
& ( 10 = a(X243) )
& ( X243 != X244 )
& ( 3 = a(X244) )
& ( X242 != X243 )
& $less(X243,X244)
& $less(b(X244),4)
& ( 8 = a(X242) )
& $less(b(X242),4) )
& ! [X143: $int,X142: $int,X140: $int,X141: $int] :
~ ( ( X140 != X143 )
& $less(X141,X143)
& ( 7 = a(X142) )
& ( X140 != X141 )
& ( 2 = b(X142) )
& ( 12 = a(X143) )
& ( X141 != X142 )
& ( X140 != X142 )
& ( 5 = b(X140) )
& ( 10 = a(X141) )
& ( X142 != X143 )
& $less(b(X141),3)
& ( X141 != X143 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( 10 = a(X2) )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(X2,X0)
& $less(b(X2),3)
& ( b(X0) = 5 )
& ( a(X1) = 6 ) )
& ! [X136: $int,X135: $int,X133: $int,X134: $int] :
~ ( ( 10 = a(X135) )
& ( 2 = b(X134) )
& ( X135 != X136 )
& ( 5 = a(X136) )
& ( X133 != X136 )
& ( X133 != X135 )
& $less(X135,X136)
& ( X134 != X136 )
& ( X133 != X134 )
& $less(b(X135),3)
& ( 5 = b(X136) )
& ( 2 = b(X133) )
& ( X134 != X135 )
& ( 5 = a(X133) ) )
& ! [X53: $int,X54: $int,X52: $int] :
~ ( ( 2 = b(X54) )
& ( X53 != X54 )
& ( 2 = a(X52) )
& ( X52 != X53 )
& ( 10 = a(X54) )
& $less(X54,X52)
& ( X52 != X54 )
& $less(b(X53),4)
& ( 7 = a(X53) )
& ( 5 = b(X52) ) )
& ! [X208: $int,X210: $int,X209: $int,X211: $int] :
~ ( ( X209 != X210 )
& $less(b(X208),3)
& ( X209 != X211 )
& ( 5 = b(X211) )
& ( X208 != X209 )
& ( 10 = a(X208) )
& ( 4 = a(X209) )
& $less(X208,X209)
& ( X208 != X211 )
& ( 1 = a(X210) )
& ( X208 != X210 )
& ( X210 != X211 ) )
& ! [X173: $int,X172: $int,X175: $int,X174: $int] :
~ ( ( X172 != X175 )
& $less(b(X175),4)
& ( 10 = a(X173) )
& ( 5 = b(X174) )
& ( X174 != X175 )
& ( X173 != X174 )
& $less(X173,X172)
& ( 1 = a(X172) )
& ( X172 != X173 )
& ( 7 = a(X175) )
& ( X173 != X175 )
& ( 2 = b(X173) )
& ( X172 != X174 ) )
& ! [X192: $int,X190: $int,X191: $int] :
~ ( $less(X192,X190)
& ( 2 = b(X192) )
& ( X191 != X192 )
& ( 10 = a(X192) )
& ( X190 != X191 )
& ( 5 = a(X190) )
& ( 5 = b(X191) )
& ( X190 != X192 ) )
& ! [X164: $int,X162: $int,X163: $int] :
~ ( ( 10 = a(X164) )
& ( X163 != X164 )
& ( X162 != X163 )
& $less(X164,X163)
& ( 2 = b(X164) )
& ( X162 != X164 )
& ( 5 = a(X163) )
& ( 5 = b(X163) )
& ( 5 = a(X162) ) )
& ! [X186: $int,X185: $int,X187: $int] :
~ ( ( 10 = a(X187) )
& ( X185 != X186 )
& ( X186 != X187 )
& ( 2 = b(X185) )
& ( 6 = a(X185) )
& $less(X187,X186)
& ( 5 = b(X186) )
& $less(b(X187),3)
& ( X185 != X187 )
& ( 5 = a(X186) ) )
& ! [X51: $int,X49: $int,X50: $int] :
~ ( $less(b(X51),3)
& ( X50 != X51 )
& ( X49 != X51 )
& ( 2 = b(X49) )
& ( 10 = a(X51) )
& ( 2 = a(X50) )
& ( 8 = a(X49) )
& $less(X51,X50)
& ( X49 != X50 ) )
& ! [X166: $int,X165: $int,X168: $int,X167: $int] :
~ ( $less(b(X168),3)
& $less(X168,X167)
& ( X165 != X166 )
& ( 10 = a(X168) )
& ( X166 != X167 )
& ( X165 != X168 )
& ( 2 = b(X165) )
& ( 5 = b(X166) )
& ( 7 = a(X165) )
& ( X165 != X167 )
& ( 4 = a(X167) )
& ( X166 != X168 )
& ( X167 != X168 ) )
& ( z1 != z2 )
& ( z3 != z4 )
& ! [X78: $int,X77: $int,X79: $int,X76: $int] :
~ ( ( 5 = b(X78) )
& ( 7 = a(X77) )
& ( 2 = b(X77) )
& $less(X79,X76)
& ( X76 != X78 )
& ( X77 != X79 )
& ( X76 != X77 )
& ( X76 != X79 )
& ( 10 = a(X79) )
& $less(b(X79),3)
& ( 2 = a(X76) )
& ( X78 != X79 )
& ( X77 != X78 ) )
& ! [X87: $int,X88: $int,X89: $int] :
~ ( ( X88 != X89 )
& ( 5 = b(X88) )
& ( 2 = b(X87) )
& ( X87 != X88 )
& ( 5 = a(X88) )
& $less(b(X89),3)
& ( 7 = a(X87) )
& ( X87 != X89 )
& $less(X89,X88)
& ( 10 = a(X89) ) )
& ! [X123: $int,X121: $int,X122: $int] :
~ ( ( X122 != X123 )
& $less(X123,X122)
& ( 5 = a(X122) )
& ( 10 = a(X123) )
& ( 2 = b(X123) )
& ( 4 = a(X121) )
& ( 5 = b(X122) )
& ( X121 != X122 )
& ( X121 != X123 ) ) )
=> ~ ( $less(z2,z1)
& ( b(z4) = 5 )
& ( a(z3) = 7 )
& ( a(z2) = 10 )
& ( a(z4) = 1 )
& ( a(z1) = 5 )
& $less(b(z2),3)
& ( b(z3) = 5 ) ) ),
inference(true_and_false_elimination,[],[f4]) ).
tff(f6,plain,
( $less(z2,z1)
& ( b(z4) = 5 )
& ( a(z3) = 7 )
& ( a(z2) = 10 )
& ( a(z4) = 1 )
& ( a(z1) = 5 )
& $less(b(z2),3)
& ( b(z3) = 5 )
& ! [X27: $int,X25: $int,X26: $int,X24: $int] :
( ( 2 != a(X24) )
| ( X25 = X27 )
| ( 5 != b(X27) )
| ~ $less(b(X25),3)
| ( X24 = X26 )
| ( X24 = X27 )
| ( X26 = X27 )
| ( 10 != a(X25) )
| ( X24 = X25 )
| ( 4 != a(X26) )
| ~ $less(X25,X26)
| ( X25 = X26 ) )
& ! [X223: $int,X221: $int,X222: $int] :
( ( 10 != a(X222) )
| ( 7 != a(X223) )
| ~ $less(b(X222),3)
| ( X221 = X222 )
| ~ $less(X222,X223)
| ( 8 != a(X221) )
| ( X222 = X223 )
| ( X221 = X223 ) )
& ! [X129: $int,X128: $int,X127: $int] :
( ( 5 != b(X129) )
| ( 10 != a(X127) )
| ( X127 = X129 )
| ~ $less(X127,X128)
| ( 4 != a(X128) )
| ( X127 = X128 )
| ( 2 != b(X127) )
| ( X128 = X129 ) )
& ( z1 != z3 )
& ! [X254: $int,X253: $int,X252: $int,X255: $int] :
( ( 3 != a(X254) )
| ( 5 != b(X255) )
| ( X254 = X255 )
| ( X253 = X255 )
| ( X252 = X253 )
| ( 10 != a(X252) )
| ( X252 = X254 )
| ( X252 = X255 )
| ~ $less(X252,X254)
| ( 7 != a(X253) )
| ~ $less(b(X253),4)
| ( X253 = X254 )
| ( 2 != b(X252) )
| ~ $less(b(X254),4) )
& ! [X257: $int,X259: $int,X256: $int,X258: $int] :
( ( X257 = X259 )
| ( 10 != a(X258) )
| ( X258 = X259 )
| ( X256 = X257 )
| ( 5 != a(X257) )
| ( 2 != b(X256) )
| ~ $less(b(X258),3)
| ( 6 != a(X259) )
| ~ $less(X258,X259)
| ( X256 = X258 )
| ( X257 = X258 )
| ( 5 != b(X259) )
| ( X256 = X259 ) )
& ! [X102: $int,X101: $int,X100: $int,X103: $int] :
( ~ $less(X101,X102)
| ( 5 != a(X102) )
| ( 8 != a(X103) )
| ( 1 != a(X100) )
| ( X100 = X103 )
| ~ $less(b(X101),3)
| ( 10 != a(X101) )
| ( X101 = X103 )
| ( X102 = X103 )
| ( X100 = X102 )
| ( X101 = X102 )
| ( X100 = X101 ) )
& ! [X268: $int,X269: $int,X270: $int] :
( ( X268 = X270 )
| ~ $less(b(X269),4)
| ( X269 = X270 )
| ~ $less(X270,X268)
| ( 12 != a(X268) )
| ( 5 != b(X268) )
| ( 7 != a(X269) )
| ( 10 != a(X270) )
| ( 2 != b(X270) )
| ( X268 = X269 ) )
& ! [X81: $int,X80: $int,X82: $int] :
( ( X80 = X81 )
| ( 6 != a(X81) )
| ( 10 != a(X80) )
| ~ $less(X80,X82)
| ( 2 != b(X80) )
| ( 5 != b(X82) )
| ( 12 != a(X82) )
| ( X80 = X82 )
| ( X81 = X82 ) )
& ! [X145: $int,X146: $int,X147: $int,X144: $int] :
( ( X145 = X147 )
| ( X145 = X146 )
| ( X144 = X147 )
| ( 2 != a(X147) )
| ~ $less(X146,X145)
| ~ $less(b(X146),3)
| ( X144 = X145 )
| ( 8 != a(X144) )
| ( X144 = X146 )
| ( X146 = X147 )
| ( 10 != a(X146) )
| ( 5 != a(X145) ) )
& ! [X139: $int,X137: $int,X138: $int] :
( ( 6 != a(X137) )
| ( X137 = X139 )
| ( 5 != b(X138) )
| ( 10 != a(X139) )
| ( X138 = X139 )
| ~ $less(X139,X137)
| ( X137 = X138 )
| ~ $less(b(X139),3) )
& ! [X98: $int,X99: $int,X97: $int] :
( ( X98 = X99 )
| ( X97 = X99 )
| ( X97 = X98 )
| ~ $less(X98,X97)
| ( 2 != b(X98) )
| ( 8 != a(X99) )
| ( 10 != a(X98) )
| ( 5 != a(X97) ) )
& ! [X196: $int,X198: $int,X197: $int] :
( ~ $less(b(X196),3)
| ( X197 = X198 )
| ~ $less(X196,X197)
| ( 2 != b(X198) )
| ( 4 != a(X197) )
| ( 5 != b(X197) )
| ( 7 != a(X198) )
| ( X196 = X198 )
| ( 10 != a(X196) )
| ( X196 = X197 ) )
& ! [X65: $int,X63: $int,X64: $int] :
( ( 10 != a(X65) )
| ~ $less(X65,X63)
| ( X63 = X65 )
| ( X64 = X65 )
| ( 4 != a(X63) )
| ( 5 != b(X63) )
| ( X63 = X64 )
| ( 7 != a(X64) )
| ( 2 != b(X65) ) )
& ( z4 != z5 )
& ! [X278: $int,X279: $int,X280: $int] :
( ( 10 != a(X279) )
| ( 4 != a(X280) )
| ( X278 = X280 )
| ~ $less(X279,X280)
| ( 8 != a(X278) )
| ( X279 = X280 )
| ( X278 = X279 )
| ( 2 != b(X279) ) )
& ! [X119: $int,X120: $int,X117: $int,X118: $int] :
( ~ $less(b(X119),3)
| ( 8 != a(X117) )
| ( 10 != a(X119) )
| ( X117 = X118 )
| ( 4 != a(X118) )
| ~ $less(X119,X118)
| ( X117 = X119 )
| ( X118 = X120 )
| ( 2 != a(X120) )
| ( X117 = X120 )
| ( X118 = X119 )
| ( X119 = X120 ) )
& ! [X282: $int,X281: $int,X283: $int] :
( ( 5 != a(X281) )
| ( 5 != b(X282) )
| ( 2 != a(X282) )
| ( X281 = X282 )
| ( X281 = X283 )
| ( 2 != b(X283) )
| ( X282 = X283 )
| ~ $less(X283,X282)
| ( 10 != a(X283) ) )
& ! [X183: $int,X182: $int,X184: $int] :
( ( X182 = X184 )
| ( 2 != b(X182) )
| ( 1 != a(X184) )
| ~ $less(X182,X184)
| ( 5 != b(X184) )
| ( 10 != a(X182) )
| ( X183 = X184 )
| ( X182 = X183 )
| ( 7 != a(X183) )
| ~ $less(b(X183),4) )
& ! [X178: $int,X177: $int,X176: $int] :
( ( X176 = X178 )
| ~ $less(b(X177),3)
| ( 5 != b(X178) )
| ~ $less(X177,X178)
| ( 10 != a(X177) )
| ( 7 != a(X178) )
| ( 7 != a(X176) )
| ( X177 = X178 )
| ( X176 = X177 ) )
& ( z2 != z3 )
& ! [X22: $int,X20: $int,X21: $int,X23: $int] :
( ~ $less(b(X23),3)
| ( 10 != a(X23) )
| ( X20 = X22 )
| ( X21 = X22 )
| ( 8 != a(X21) )
| ( 4 != a(X20) )
| ~ $less(X23,X20)
| ( X20 = X21 )
| ( X20 = X23 )
| ( X21 = X23 )
| ( X22 = X23 )
| ( 2 != b(X22) ) )
& ! [X39: $int,X38: $int,X40: $int] :
( ( 1 != a(X40) )
| ~ $less(X38,X40)
| ( 10 != a(X38) )
| ( X38 = X39 )
| ~ $less(b(X39),4)
| ( 8 != a(X39) )
| ( X38 = X40 )
| ( X39 = X40 )
| ( 2 != b(X38) ) )
& ! [X66: $int,X68: $int,X69: $int,X67: $int] :
( ( X66 = X67 )
| ( 7 != a(X66) )
| ( X66 = X69 )
| ( 5 != b(X68) )
| ( X68 = X69 )
| ( X67 = X68 )
| ~ $less(b(X66),4)
| ( X67 = X69 )
| ( X66 = X68 )
| ( 10 != a(X67) )
| ~ $less(X67,X69)
| ( 2 != b(X67) )
| ( 2 != a(X69) ) )
& ! [X227: $int,X225: $int,X224: $int,X226: $int] :
( ~ $less(b(X226),3)
| ( X224 = X227 )
| ( 5 != a(X224) )
| ( X224 = X226 )
| ( 10 != a(X226) )
| ( X225 = X227 )
| ~ $less(X226,X227)
| ( X226 = X227 )
| ( 2 != a(X225) )
| ( X225 = X226 )
| ( 7 != a(X227) )
| ( 5 != b(X227) )
| ( X224 = X225 ) )
& ! [X33: $int,X34: $int,X32: $int,X31: $int] :
( ~ $less(b(X31),3)
| ( X31 = X34 )
| ~ $less(X31,X33)
| ( X31 = X32 )
| ( X31 = X33 )
| ( X32 = X34 )
| ( X32 = X33 )
| ( 5 != a(X33) )
| ( 6 != a(X34) )
| ( 2 != b(X32) )
| ( 5 != b(X33) )
| ( 10 != a(X31) )
| ( X33 = X34 ) )
& ! [X19: $int,X17: $int,X18: $int] :
( ( X17 = X18 )
| ( 5 != b(X17) )
| ( 5 != a(X19) )
| ( X17 = X19 )
| ( X18 = X19 )
| ~ $less(X18,X17)
| ( 10 != a(X18) )
| ( 2 != b(X18) )
| ( 12 != a(X17) ) )
& ! [X201: $int,X200: $int,X199: $int] :
( ( 10 != a(X200) )
| ( X200 = X201 )
| ~ $less(X200,X201)
| ( X199 = X200 )
| ~ $less(b(X200),3)
| ( 6 != a(X201) )
| ( 8 != a(X199) )
| ( X199 = X201 ) )
& ! [X46: $int,X45: $int,X48: $int,X47: $int] :
( ( 2 != a(X46) )
| ( X47 = X48 )
| ( 10 != a(X45) )
| ( 5 != b(X46) )
| ( 5 != a(X47) )
| ( X46 = X48 )
| ( X45 = X48 )
| ( X45 = X47 )
| ( X45 = X46 )
| ~ $less(b(X45),3)
| ( X46 = X47 )
| ~ $less(X45,X47)
| ( 7 != a(X48) ) )
& ! [X151: $int,X154: $int,X153: $int,X152: $int] :
( ( X152 = X153 )
| ( 7 != a(X151) )
| ( X153 = X154 )
| ( X151 = X154 )
| ( 2 != b(X151) )
| ~ $less(X154,X153)
| ( X152 = X154 )
| ( 1 != a(X153) )
| ~ $less(b(X154),3)
| ( X151 = X152 )
| ( X151 = X153 )
| ( 10 != a(X154) )
| ( 5 != b(X152) ) )
& ! [X70: $int,X72: $int,X71: $int] :
( ( 10 != a(X71) )
| ( 5 != a(X72) )
| ~ $less(X71,X70)
| ( X70 = X72 )
| ( X71 = X72 )
| ( 4 != a(X70) )
| ( X70 = X71 )
| ( 5 != b(X70) )
| ( 2 != b(X71) ) )
& ! [X275: $int,X277: $int,X276: $int] :
( ~ $less(X276,X277)
| ( 6 != a(X275) )
| ( 10 != a(X276) )
| ( 2 != b(X276) )
| ( X275 = X277 )
| ( 5 != b(X277) )
| ( X276 = X277 )
| ( 2 != a(X277) )
| ( X275 = X276 ) )
& ! [X130: $int,X131: $int,X132: $int] :
( ~ $less(X130,X132)
| ( 2 != b(X131) )
| ( 1 != a(X132) )
| ( 10 != a(X130) )
| ( X131 = X132 )
| ( X130 = X131 )
| ( X130 = X132 )
| ( 8 != a(X131) )
| ~ $less(b(X130),3) )
& ! [X287: $int,X286: $int,X284: $int,X285: $int] :
( ( 5 != b(X287) )
| ( X285 = X286 )
| ( X286 = X287 )
| ( 10 != a(X284) )
| ( X284 = X287 )
| ( X284 = X285 )
| ( 1 != a(X286) )
| ~ $less(X284,X285)
| ( 5 != a(X285) )
| ~ $less(b(X284),3)
| ( X284 = X286 )
| ( X285 = X287 ) )
& ! [X96: $int] :
( ~ $less(12,a(X96))
& ~ $less(a(X96),1) )
& ! [X156: $int,X157: $int,X155: $int] :
( ( X155 = X156 )
| ( X156 = X157 )
| ~ $less(X155,X156)
| ( 10 != a(X155) )
| ( 2 != b(X155) )
| ( X155 = X157 )
| ( 6 != a(X157) )
| ( 4 != a(X156) )
| ( 5 != b(X156) ) )
& ! [X159: $int,X160: $int,X158: $int] :
( ( 2 != a(X159) )
| ( 5 != b(X159) )
| ( 7 != a(X160) )
| ( X158 = X160 )
| ( X159 = X160 )
| ~ $less(b(X158),3)
| ~ $less(X158,X159)
| ( 2 != b(X160) )
| ( 10 != a(X158) )
| ( X158 = X159 ) )
& ! [X105: $int,X104: $int,X106: $int] :
( ~ $less(X106,X104)
| ( 7 != a(X104) )
| ( 5 != a(X105) )
| ( X105 = X106 )
| ( 5 != b(X104) )
| ( 10 != a(X106) )
| ( X104 = X106 )
| ( X104 = X105 )
| ( 2 != b(X106) ) )
& ! [X109: $int,X107: $int,X108: $int] :
( ( 5 != b(X107) )
| ( X107 = X109 )
| ( X108 = X109 )
| ( 10 != a(X108) )
| ~ $less(b(X108),3)
| ~ $less(X108,X107)
| ( 6 != a(X107) )
| ( X107 = X108 )
| ( 7 != a(X109) ) )
& ( z2 != z4 )
& ! [X194: $int,X193: $int,X195: $int] :
( ( X193 = X195 )
| ~ $less(X193,X194)
| ( 5 != a(X195) )
| ( 10 != a(X193) )
| ( 6 != a(X194) )
| ( 2 != b(X193) )
| ( X194 = X195 )
| ( 5 != b(X194) )
| ( X193 = X194 ) )
& ! [X61: $int,X59: $int,X60: $int,X62: $int] :
( ( 10 != a(X62) )
| ~ $less(b(X62),3)
| ~ $less(b(X60),4)
| ( X60 = X61 )
| ( X59 = X60 )
| ( 8 != a(X60) )
| ~ $less(X62,X59)
| ( X59 = X61 )
| ( 2 != b(X61) )
| ( X60 = X62 )
| ( 3 != a(X59) )
| ( X59 = X62 )
| ~ $less(b(X59),4)
| ( X61 = X62 ) )
& ! [X90: $int,X91: $int,X92: $int] :
( ( X91 = X92 )
| ~ $less(X91,X90)
| ( 5 != b(X90) )
| ( X90 = X91 )
| ( X90 = X92 )
| ( 2 != b(X92) )
| ~ $less(b(X91),3)
| ( 7 != a(X92) )
| ( 1 != a(X90) )
| ( 10 != a(X91) ) )
& ! [X161: $int] :
( ~ $less(b(X161),1)
& ~ $less(5,b(X161)) )
& ! [X55: $int,X58: $int,X56: $int,X57: $int] :
( ( X57 = X58 )
| ( 7 != a(X58) )
| ( 2 != b(X56) )
| ~ $less(b(X58),4)
| ( X56 = X58 )
| ( X55 = X58 )
| ( X55 = X56 )
| ( 12 != a(X57) )
| ( 10 != a(X56) )
| ( 5 != b(X55) )
| ~ $less(X56,X57)
| ( X55 = X57 )
| ( X56 = X57 ) )
& ! [X218: $int,X219: $int,X220: $int] :
( ( 5 != b(X219) )
| ( 10 != a(X218) )
| ~ $less(b(X218),3)
| ( 7 != a(X220) )
| ( X218 = X219 )
| ~ $less(X218,X220)
| ( X218 = X220 )
| ( X219 = X220 ) )
& ! [X204: $int,X202: $int,X203: $int] :
( ( 5 != b(X203) )
| ( 1 != a(X203) )
| ( X202 = X203 )
| ( 5 != a(X204) )
| ( X203 = X204 )
| ~ $less(X202,X203)
| ( X202 = X204 )
| ( 10 != a(X202) )
| ( 2 != b(X202) ) )
& ! [X245: $int,X248: $int,X246: $int,X247: $int] :
( ( X246 = X247 )
| ( X247 = X248 )
| ( 7 != a(X247) )
| ~ $less(X246,X248)
| ( X246 = X248 )
| ( X245 = X248 )
| ( 10 != a(X246) )
| ( X245 = X246 )
| ( 5 != a(X248) )
| ( 5 != b(X248) )
| ~ $less(b(X246),3)
| ( X245 = X247 )
| ( 2 != b(X245) ) )
& ! [X95: $int,X94: $int,X93: $int] :
( ( 4 != a(X94) )
| ~ $less(X93,X94)
| ( 10 != a(X93) )
| ~ $less(b(X93),3)
| ( 2 != b(X95) )
| ( X93 = X94 )
| ( X94 = X95 )
| ( 8 != a(X95) )
| ( X93 = X95 ) )
& ! [X239: $int,X240: $int,X241: $int] :
( ( 5 != a(X241) )
| ( 2 != b(X239) )
| ~ $less(X240,X241)
| ( X239 = X240 )
| ( X239 = X241 )
| ( 8 != a(X239) )
| ( X240 = X241 )
| ~ $less(b(X240),3)
| ( 10 != a(X240) ) )
& ! [X112: $int,X110: $int,X111: $int] :
( ( X110 = X112 )
| ( X110 = X111 )
| ( 5 != b(X111) )
| ~ $less(b(X112),3)
| ( 12 != a(X111) )
| ( 10 != a(X112) )
| ( 2 != b(X110) )
| ~ $less(X112,X111)
| ( 7 != a(X110) )
| ( X111 = X112 ) )
& ! [X179: $int,X181: $int,X180: $int] :
( ( 2 != a(X181) )
| ~ $less(b(X180),4)
| ( X179 = X180 )
| ( 2 != b(X179) )
| ( 10 != a(X179) )
| ( X179 = X181 )
| ( 8 != a(X180) )
| ( X180 = X181 )
| ~ $less(X179,X181) )
& ! [X8: $int,X7: $int,X9: $int] :
( ( 2 != b(X9) )
| ( 7 != a(X8) )
| ( X7 = X9 )
| ( X7 = X8 )
| ( X8 = X9 )
| ( 4 != a(X7) )
| ( 10 != a(X9) )
| ( 5 != b(X8) )
| ~ $less(X9,X8) )
& ! [X233: $int,X232: $int,X231: $int,X234: $int] :
( ( X231 = X233 )
| ( X232 = X234 )
| ~ $less(X234,X231)
| ( 7 != a(X232) )
| ( X231 = X234 )
| ( X233 = X234 )
| ( X232 = X233 )
| ( 5 != b(X231) )
| ( 5 != a(X231) )
| ( 10 != a(X234) )
| ( X231 = X232 )
| ( 2 != a(X233) )
| ~ $less(b(X234),3) )
& ! [X267: $int,X265: $int,X266: $int] :
( ( X265 = X266 )
| ( 12 != a(X266) )
| ( 8 != a(X265) )
| ( X266 = X267 )
| ( 10 != a(X267) )
| ( X265 = X267 )
| ~ $less(X267,X266)
| ( 2 != b(X267) )
| ~ $less(b(X265),4) )
& ! [X188: $int,X189: $int] :
( ~ $less(b(X189),3)
| ~ $less(X189,X188)
| ( X188 = X189 )
| ( 10 != a(X189) )
| ( 9 != a(X188) ) )
& ! [X6: $int,X3: $int,X4: $int,X5: $int] :
( ~ $less(b(X3),3)
| ( X4 = X6 )
| ( X5 = X6 )
| ( X3 = X4 )
| ( 2 != b(X6) )
| ( 5 != a(X4) )
| ( X4 = X5 )
| ~ $less(X3,X4)
| ( X3 = X5 )
| ( 8 != a(X5) )
| ( X3 = X6 )
| ( 10 != a(X3) ) )
& ! [X170: $int,X169: $int,X171: $int] :
( ( 7 != a(X170) )
| ( 10 != a(X171) )
| ~ $less(b(X171),3)
| ( X170 = X171 )
| ( 6 != a(X169) )
| ~ $less(X171,X170)
| ( 5 != b(X170) )
| ( X169 = X171 )
| ( X169 = X170 ) )
& ! [X10: $int,X12: $int,X11: $int] :
( ( 5 != b(X10) )
| ( X11 = X12 )
| ( X10 = X11 )
| ~ $less(X11,X10)
| ( 6 != a(X10) )
| ( 2 != b(X11) )
| ( 4 != a(X12) )
| ( 10 != a(X11) )
| ( X10 = X12 ) )
& ! [X84: $int,X85: $int,X83: $int,X86: $int] :
( ( X84 = X86 )
| ~ $less(b(X85),4)
| ( 3 != a(X85) )
| ( X84 = X85 )
| ( X83 = X84 )
| ( 5 != b(X86) )
| ( X83 = X86 )
| ( 10 != a(X84) )
| ( 7 != a(X83) )
| ( X85 = X86 )
| ~ $less(X84,X85)
| ( X83 = X85 )
| ~ $less(b(X84),3)
| ( 2 != b(X83) ) )
& ( z1 != z5 )
& ! [X114: $int,X115: $int,X116: $int,X113: $int] :
( ( X113 = X116 )
| ( X113 = X115 )
| ( 4 != a(X116) )
| ~ $less(X115,X113)
| ( X115 = X116 )
| ( X114 = X116 )
| ( X113 = X114 )
| ( X114 = X115 )
| ( 7 != a(X113) )
| ~ $less(b(X115),3)
| ( 2 != b(X114) )
| ( 10 != a(X115) )
| ( 5 != b(X113) ) )
& ! [X37: $int,X36: $int,X35: $int] :
( ( 10 != a(X36) )
| ( 3 != a(X37) )
| ( X36 = X37 )
| ~ $less(X36,X37)
| ( 2 != b(X35) )
| ( X35 = X36 )
| ~ $less(b(X36),3)
| ~ $less(b(X37),4)
| ( 8 != a(X35) )
| ( X35 = X37 ) )
& ! [X212: $int,X213: $int] :
( ( X212 = X213 )
| ( 10 != a(X213) )
| ( 10 != a(X212) ) )
& ( z2 != z5 )
& ! [X230: $int,X228: $int,X229: $int] :
( ( 5 != b(X228) )
| ( X229 = X230 )
| ( 12 != a(X228) )
| ( X228 = X229 )
| ( X228 = X230 )
| ( 4 != a(X229) )
| ( 10 != a(X230) )
| ~ $less(X230,X228)
| ( 2 != b(X230) ) )
& ! [X149: $int,X148: $int,X150: $int] :
( ~ $less(X150,X148)
| ( 4 != a(X149) )
| ( X148 = X150 )
| ( X148 = X149 )
| ( 5 != b(X148) )
| ( X149 = X150 )
| ( 10 != a(X150) )
| ( 2 != b(X150) )
| ( 4 != a(X148) ) )
& ! [X74: $int,X75: $int,X73: $int] :
( ~ $less(X74,X75)
| ( 1 != a(X75) )
| ( 5 != b(X75) )
| ( 2 != b(X74) )
| ( X74 = X75 )
| ( X73 = X74 )
| ( 10 != a(X74) )
| ( X73 = X75 )
| ( 6 != a(X73) ) )
& ( z3 != z5 )
& ! [X235: $int,X236: $int,X237: $int,X238: $int] :
( ( 7 != a(X237) )
| ~ $less(b(X238),3)
| ( X235 = X238 )
| ( X236 = X238 )
| ( 2 != b(X235) )
| ( 4 != a(X236) )
| ~ $less(X238,X236)
| ( 5 != b(X236) )
| ( X237 = X238 )
| ( 10 != a(X238) )
| ( X235 = X237 )
| ( X236 = X237 )
| ( X235 = X236 ) )
& ! [X217: $int,X216: $int,X215: $int,X214: $int] :
( ( X215 = X217 )
| ( X214 = X215 )
| ( 2 != b(X216) )
| ( X216 = X217 )
| ( 5 != b(X215) )
| ( X214 = X217 )
| ( X215 = X216 )
| ( X214 = X216 )
| ( 10 != a(X217) )
| ~ $less(b(X217),3)
| ~ $less(X217,X214)
| ( 5 != a(X214) ) )
& ! [X251: $int,X250: $int,X249: $int] :
( ( X250 = X251 )
| ~ $less(X251,X249)
| ( 5 != b(X249) )
| ( X249 = X251 )
| ( 7 != a(X250) )
| ( 2 != b(X251) )
| ( X249 = X250 )
| ( 5 != a(X249) )
| ( 10 != a(X251) ) )
& ! [X43: $int,X44: $int,X42: $int,X41: $int] :
( ( 4 != a(X44) )
| ( X41 = X44 )
| ( X43 = X44 )
| ( X41 = X43 )
| ~ $less(b(X42),3)
| ( 5 != b(X41) )
| ( X42 = X44 )
| ~ $less(X42,X44)
| ( X42 = X43 )
| ( 10 != a(X42) )
| ( X41 = X42 )
| ( 2 != b(X43) ) )
& ! [X206: $int,X207: $int,X205: $int] :
( ( 2 != a(X205) )
| ( X205 = X206 )
| ( 4 != a(X206) )
| ( X205 = X207 )
| ( 5 != b(X205) )
| ~ $less(X207,X205)
| ( X206 = X207 )
| ( 10 != a(X207) )
| ( 2 != b(X207) ) )
& ! [X29: $int,X28: $int,X30: $int] :
( ( 2 != b(X28) )
| ( 5 != a(X30) )
| ~ $less(X28,X30)
| ( 5 != b(X30) )
| ( 6 != a(X29) )
| ( X28 = X29 )
| ( X29 = X30 )
| ( 10 != a(X28) )
| ( X28 = X30 ) )
& ! [X15: $int,X16: $int,X14: $int,X13: $int] :
( ( 5 != b(X16) )
| ( 7 != a(X16) )
| ( X14 = X15 )
| ~ $less(b(X15),3)
| ( X14 = X16 )
| ( X13 = X15 )
| ( 10 != a(X15) )
| ( 5 != a(X14) )
| ( X15 = X16 )
| ( X13 = X16 )
| ~ $less(X15,X16)
| ( 2 != b(X13) )
| ( X13 = X14 ) )
& ! [X124: $int,X126: $int,X125: $int] :
( ~ $less(b(X126),3)
| ~ $less(X126,X124)
| ( 12 != a(X124) )
| ( 2 != b(X125) )
| ( X124 = X126 )
| ( 8 != a(X125) )
| ( X124 = X125 )
| ( 10 != a(X126) )
| ( X125 = X126 ) )
& ! [X273: $int,X271: $int,X272: $int,X274: $int] :
( ( 2 != a(X271) )
| ~ $less(b(X272),3)
| ( 5 != b(X273) )
| ( X272 = X273 )
| ( X273 = X274 )
| ( X271 = X274 )
| ~ $less(X272,X274)
| ( 10 != a(X272) )
| ( X272 = X274 )
| ( X271 = X272 )
| ( 5 != a(X274) )
| ( X271 = X273 ) )
& ( z1 != z4 )
& ! [X263: $int,X264: $int,X262: $int] :
( ( 1 != a(X262) )
| ( 5 != b(X262) )
| ( X262 = X263 )
| ( X262 = X264 )
| ~ $less(X263,X262)
| ( 10 != a(X263) )
| ( 4 != a(X264) )
| ( 2 != b(X263) )
| ( X263 = X264 ) )
& ! [X261: $int,X260: $int] :
( ~ $less(b(X261),3)
| ( X260 = X261 )
| ( 10 != a(X261) )
| ( 8 != a(X260) )
| ~ $less(X261,X260) )
& ! [X244: $int,X243: $int,X242: $int] :
( ( 3 != a(X244) )
| ( X242 = X243 )
| ( 10 != a(X243) )
| ( 8 != a(X242) )
| ( X242 = X244 )
| ~ $less(b(X242),4)
| ( 2 != b(X243) )
| ~ $less(b(X244),4)
| ~ $less(X243,X244)
| ( X243 = X244 ) )
& ! [X141: $int,X140: $int,X142: $int,X143: $int] :
( ( 12 != a(X143) )
| ( X140 = X141 )
| ~ $less(b(X141),3)
| ( X141 = X142 )
| ( X140 = X143 )
| ( 7 != a(X142) )
| ( 10 != a(X141) )
| ( 2 != b(X142) )
| ( X142 = X143 )
| ( X140 = X142 )
| ~ $less(X141,X143)
| ( 5 != b(X140) )
| ( X141 = X143 ) )
& ! [X0: $int,X1: $int,X2: $int] :
( ( X0 = X2 )
| ( 10 != a(X2) )
| ( a(X1) != 6 )
| ( X0 = X1 )
| ~ $less(b(X2),3)
| ( X1 = X2 )
| ~ $less(X2,X0)
| ( b(X0) != 5 )
| ( a(X0) != 6 ) )
& ! [X135: $int,X136: $int,X133: $int,X134: $int] :
( ( 2 != b(X133) )
| ( X134 = X135 )
| ( X133 = X135 )
| ( 10 != a(X135) )
| ( X135 = X136 )
| ( 2 != b(X134) )
| ~ $less(X135,X136)
| ~ $less(b(X135),3)
| ( 5 != b(X136) )
| ( X133 = X136 )
| ( 5 != a(X136) )
| ( X134 = X136 )
| ( 5 != a(X133) )
| ( X133 = X134 ) )
& ! [X53: $int,X54: $int,X52: $int] :
( ~ $less(X54,X52)
| ( 7 != a(X53) )
| ~ $less(b(X53),4)
| ( 2 != a(X52) )
| ( 5 != b(X52) )
| ( X53 = X54 )
| ( X52 = X53 )
| ( 10 != a(X54) )
| ( X52 = X54 )
| ( 2 != b(X54) ) )
& ! [X210: $int,X209: $int,X211: $int,X208: $int] :
( ( X209 = X210 )
| ( X208 = X211 )
| ( X209 = X211 )
| ( 5 != b(X211) )
| ( 4 != a(X209) )
| ( X208 = X209 )
| ( X210 = X211 )
| ( 10 != a(X208) )
| ~ $less(X208,X209)
| ( 1 != a(X210) )
| ~ $less(b(X208),3)
| ( X208 = X210 ) )
& ! [X174: $int,X175: $int,X173: $int,X172: $int] :
( ( 5 != b(X174) )
| ( 2 != b(X173) )
| ~ $less(b(X175),4)
| ( X173 = X175 )
| ( X173 = X174 )
| ~ $less(X173,X172)
| ( 1 != a(X172) )
| ( X174 = X175 )
| ( 10 != a(X173) )
| ( X172 = X174 )
| ( X172 = X173 )
| ( 7 != a(X175) )
| ( X172 = X175 ) )
& ! [X192: $int,X191: $int,X190: $int] :
( ( 5 != b(X191) )
| ( X191 = X192 )
| ( 10 != a(X192) )
| ( X190 = X192 )
| ( 2 != b(X192) )
| ( X190 = X191 )
| ( 5 != a(X190) )
| ~ $less(X192,X190) )
& ! [X162: $int,X163: $int,X164: $int] :
( ( 2 != b(X164) )
| ( 5 != b(X163) )
| ~ $less(X164,X163)
| ( X162 = X164 )
| ( 5 != a(X162) )
| ( 10 != a(X164) )
| ( X163 = X164 )
| ( 5 != a(X163) )
| ( X162 = X163 ) )
& ! [X186: $int,X187: $int,X185: $int] :
( ( X186 = X187 )
| ~ $less(X187,X186)
| ~ $less(b(X187),3)
| ( 5 != b(X186) )
| ( 10 != a(X187) )
| ( 2 != b(X185) )
| ( 6 != a(X185) )
| ( X185 = X187 )
| ( 5 != a(X186) )
| ( X185 = X186 ) )
& ! [X49: $int,X51: $int,X50: $int] :
( ( X50 = X51 )
| ( X49 = X50 )
| ( 8 != a(X49) )
| ( X49 = X51 )
| ( 2 != b(X49) )
| ( 10 != a(X51) )
| ( 2 != a(X50) )
| ~ $less(X51,X50)
| ~ $less(b(X51),3) )
& ! [X165: $int,X168: $int,X166: $int,X167: $int] :
( ( 10 != a(X168) )
| ( X165 = X168 )
| ( X165 = X166 )
| ( 4 != a(X167) )
| ( X167 = X168 )
| ( 7 != a(X165) )
| ~ $less(X168,X167)
| ( X166 = X168 )
| ( X166 = X167 )
| ( 5 != b(X166) )
| ( X165 = X167 )
| ~ $less(b(X168),3)
| ( 2 != b(X165) ) )
& ( z1 != z2 )
& ( z3 != z4 )
& ! [X79: $int,X76: $int,X77: $int,X78: $int] :
( ~ $less(X79,X76)
| ( X77 = X78 )
| ( 10 != a(X79) )
| ( X76 = X79 )
| ( 7 != a(X77) )
| ~ $less(b(X79),3)
| ( 2 != a(X76) )
| ( 5 != b(X78) )
| ( X76 = X77 )
| ( 2 != b(X77) )
| ( X76 = X78 )
| ( X78 = X79 )
| ( X77 = X79 ) )
& ! [X87: $int,X89: $int,X88: $int] :
( ( X87 = X89 )
| ( 5 != a(X88) )
| ~ $less(X89,X88)
| ( X87 = X88 )
| ( 7 != a(X87) )
| ( 2 != b(X87) )
| ( 5 != b(X88) )
| ~ $less(b(X89),3)
| ( X88 = X89 )
| ( 10 != a(X89) ) )
& ! [X121: $int,X122: $int,X123: $int] :
( ( 4 != a(X121) )
| ( 10 != a(X123) )
| ( 5 != b(X122) )
| ( 2 != b(X123) )
| ( X121 = X123 )
| ( X121 = X122 )
| ( X122 = X123 )
| ( 5 != a(X122) )
| ~ $less(X123,X122) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f7,plain,
( ! [X204: $int,X202: $int,X203: $int] :
( ( 5 != b(X203) )
| ( 1 != a(X203) )
| ( X202 = X203 )
| ( 5 != a(X204) )
| ( X203 = X204 )
| ~ $less(X202,X203)
| ( X202 = X204 )
| ( 10 != a(X202) )
| ( 2 != b(X202) ) )
& ! [X206: $int,X207: $int,X205: $int] :
( ( 2 != a(X205) )
| ( X205 = X206 )
| ( 4 != a(X206) )
| ( X205 = X207 )
| ( 5 != b(X205) )
| ~ $less(X207,X205)
| ( X206 = X207 )
| ( 10 != a(X207) )
| ( 2 != b(X207) ) )
& ! [X156: $int,X157: $int,X155: $int] :
( ( X155 = X156 )
| ( X156 = X157 )
| ~ $less(X155,X156)
| ( 10 != a(X155) )
| ( 2 != b(X155) )
| ( X155 = X157 )
| ( 6 != a(X157) )
| ( 4 != a(X156) )
| ( 5 != b(X156) ) )
& ( z2 != z5 )
& ! [X170: $int,X169: $int,X171: $int] :
( ( 7 != a(X170) )
| ( 10 != a(X171) )
| ~ $less(b(X171),3)
| ( X170 = X171 )
| ( 6 != a(X169) )
| ~ $less(X171,X170)
| ( 5 != b(X170) )
| ( X169 = X171 )
| ( X169 = X170 ) )
& ! [X119: $int,X120: $int,X117: $int,X118: $int] :
( ~ $less(b(X119),3)
| ( 8 != a(X117) )
| ( 10 != a(X119) )
| ( X117 = X118 )
| ( 4 != a(X118) )
| ~ $less(X119,X118)
| ( X117 = X119 )
| ( X118 = X120 )
| ( 2 != a(X120) )
| ( X117 = X120 )
| ( X118 = X119 )
| ( X119 = X120 ) )
& ! [X162: $int,X163: $int,X164: $int] :
( ( 2 != b(X164) )
| ( 5 != b(X163) )
| ~ $less(X164,X163)
| ( X162 = X164 )
| ( 5 != a(X162) )
| ( 10 != a(X164) )
| ( X163 = X164 )
| ( 5 != a(X163) )
| ( X162 = X163 ) )
& ! [X149: $int,X148: $int,X150: $int] :
( ~ $less(X150,X148)
| ( 4 != a(X149) )
| ( X148 = X150 )
| ( X148 = X149 )
| ( 5 != b(X148) )
| ( X149 = X150 )
| ( 10 != a(X150) )
| ( 2 != b(X150) )
| ( 4 != a(X148) ) )
& ! [X201: $int,X200: $int,X199: $int] :
( ( 10 != a(X200) )
| ( X200 = X201 )
| ~ $less(X200,X201)
| ( X199 = X200 )
| ~ $less(b(X200),3)
| ( 6 != a(X201) )
| ( 8 != a(X199) )
| ( X199 = X201 ) )
& ! [X66: $int,X68: $int,X69: $int,X67: $int] :
( ( X66 = X67 )
| ( 7 != a(X66) )
| ( X66 = X69 )
| ( 5 != b(X68) )
| ( X68 = X69 )
| ( X67 = X68 )
| ~ $less(b(X66),4)
| ( X67 = X69 )
| ( X66 = X68 )
| ( 10 != a(X67) )
| ~ $less(X67,X69)
| ( 2 != b(X67) )
| ( 2 != a(X69) ) )
& ( a(z4) = 1 )
& ! [X282: $int,X281: $int,X283: $int] :
( ( 5 != a(X281) )
| ( 5 != b(X282) )
| ( 2 != a(X282) )
| ( X281 = X282 )
| ( X281 = X283 )
| ( 2 != b(X283) )
| ( X282 = X283 )
| ~ $less(X283,X282)
| ( 10 != a(X283) ) )
& ! [X165: $int,X168: $int,X166: $int,X167: $int] :
( ( 10 != a(X168) )
| ( X165 = X168 )
| ( X165 = X166 )
| ( 4 != a(X167) )
| ( X167 = X168 )
| ( 7 != a(X165) )
| ~ $less(X168,X167)
| ( X166 = X168 )
| ( X166 = X167 )
| ( 5 != b(X166) )
| ( X165 = X167 )
| ~ $less(b(X168),3)
| ( 2 != b(X165) ) )
& ( z3 != z5 )
& ( z1 != z2 )
& ! [X218: $int,X219: $int,X220: $int] :
( ( 5 != b(X219) )
| ( 10 != a(X218) )
| ~ $less(b(X218),3)
| ( 7 != a(X220) )
| ( X218 = X219 )
| ~ $less(X218,X220)
| ( X218 = X220 )
| ( X219 = X220 ) )
& ( z1 != z5 )
& ! [X183: $int,X182: $int,X184: $int] :
( ( X182 = X184 )
| ( 2 != b(X182) )
| ( 1 != a(X184) )
| ~ $less(X182,X184)
| ( 5 != b(X184) )
| ( 10 != a(X182) )
| ( X183 = X184 )
| ( X182 = X183 )
| ( 7 != a(X183) )
| ~ $less(b(X183),4) )
& ! [X251: $int,X250: $int,X249: $int] :
( ( X250 = X251 )
| ~ $less(X251,X249)
| ( 5 != b(X249) )
| ( X249 = X251 )
| ( 7 != a(X250) )
| ( 2 != b(X251) )
| ( X249 = X250 )
| ( 5 != a(X249) )
| ( 10 != a(X251) ) )
& ! [X130: $int,X131: $int,X132: $int] :
( ~ $less(X130,X132)
| ( 2 != b(X131) )
| ( 1 != a(X132) )
| ( 10 != a(X130) )
| ( X131 = X132 )
| ( X130 = X131 )
| ( X130 = X132 )
| ( 8 != a(X131) )
| ~ $less(b(X130),3) )
& ( z1 != z4 )
& ! [X27: $int,X25: $int,X26: $int,X24: $int] :
( ( 2 != a(X24) )
| ( X25 = X27 )
| ( 5 != b(X27) )
| ~ $less(b(X25),3)
| ( X24 = X26 )
| ( X24 = X27 )
| ( X26 = X27 )
| ( 10 != a(X25) )
| ( X24 = X25 )
| ( 4 != a(X26) )
| ~ $less(X25,X26)
| ( X25 = X26 ) )
& ! [X79: $int,X76: $int,X77: $int,X78: $int] :
( ~ $less(X79,X76)
| ( X77 = X78 )
| ( 10 != a(X79) )
| ( X76 = X79 )
| ( 7 != a(X77) )
| ~ $less(b(X79),3)
| ( 2 != a(X76) )
| ( 5 != b(X78) )
| ( X76 = X77 )
| ( 2 != b(X77) )
| ( X76 = X78 )
| ( X78 = X79 )
| ( X77 = X79 ) )
& ! [X55: $int,X58: $int,X56: $int,X57: $int] :
( ( X57 = X58 )
| ( 7 != a(X58) )
| ( 2 != b(X56) )
| ~ $less(b(X58),4)
| ( X56 = X58 )
| ( X55 = X58 )
| ( X55 = X56 )
| ( 12 != a(X57) )
| ( 10 != a(X56) )
| ( 5 != b(X55) )
| ~ $less(X56,X57)
| ( X55 = X57 )
| ( X56 = X57 ) )
& ! [X210: $int,X209: $int,X211: $int,X208: $int] :
( ( X209 = X210 )
| ( X208 = X211 )
| ( X209 = X211 )
| ( 5 != b(X211) )
| ( 4 != a(X209) )
| ( X208 = X209 )
| ( X210 = X211 )
| ( 10 != a(X208) )
| ~ $less(X208,X209)
| ( 1 != a(X210) )
| ~ $less(b(X208),3)
| ( X208 = X210 ) )
& ! [X0: $int,X1: $int,X2: $int] :
( ( X0 = X2 )
| ( 10 != a(X2) )
| ( a(X1) != 6 )
| ( X0 = X1 )
| ~ $less(b(X2),3)
| ( X1 = X2 )
| ~ $less(X2,X0)
| ( b(X0) != 5 )
| ( a(X0) != 6 ) )
& ! [X70: $int,X72: $int,X71: $int] :
( ( 10 != a(X71) )
| ( 5 != a(X72) )
| ~ $less(X71,X70)
| ( X70 = X72 )
| ( X71 = X72 )
| ( 4 != a(X70) )
| ( X70 = X71 )
| ( 5 != b(X70) )
| ( 2 != b(X71) ) )
& ! [X114: $int,X115: $int,X116: $int,X113: $int] :
( ( X113 = X116 )
| ( X113 = X115 )
| ( 4 != a(X116) )
| ~ $less(X115,X113)
| ( X115 = X116 )
| ( X114 = X116 )
| ( X113 = X114 )
| ( X114 = X115 )
| ( 7 != a(X113) )
| ~ $less(b(X115),3)
| ( 2 != b(X114) )
| ( 10 != a(X115) )
| ( 5 != b(X113) ) )
& ! [X174: $int,X175: $int,X173: $int,X172: $int] :
( ( 5 != b(X174) )
| ( 2 != b(X173) )
| ~ $less(b(X175),4)
| ( X173 = X175 )
| ( X173 = X174 )
| ~ $less(X173,X172)
| ( 1 != a(X172) )
| ( X174 = X175 )
| ( 10 != a(X173) )
| ( X172 = X174 )
| ( X172 = X173 )
| ( 7 != a(X175) )
| ( X172 = X175 ) )
& ! [X109: $int,X107: $int,X108: $int] :
( ( 5 != b(X107) )
| ( X107 = X109 )
| ( X108 = X109 )
| ( 10 != a(X108) )
| ~ $less(b(X108),3)
| ~ $less(X108,X107)
| ( 6 != a(X107) )
| ( X107 = X108 )
| ( 7 != a(X109) ) )
& ( b(z3) = 5 )
& ! [X37: $int,X36: $int,X35: $int] :
( ( 10 != a(X36) )
| ( 3 != a(X37) )
| ( X36 = X37 )
| ~ $less(X36,X37)
| ( 2 != b(X35) )
| ( X35 = X36 )
| ~ $less(b(X36),3)
| ~ $less(b(X37),4)
| ( 8 != a(X35) )
| ( X35 = X37 ) )
& ! [X273: $int,X271: $int,X272: $int,X274: $int] :
( ( 2 != a(X271) )
| ~ $less(b(X272),3)
| ( 5 != b(X273) )
| ( X272 = X273 )
| ( X273 = X274 )
| ( X271 = X274 )
| ~ $less(X272,X274)
| ( 10 != a(X272) )
| ( X272 = X274 )
| ( X271 = X272 )
| ( 5 != a(X274) )
| ( X271 = X273 ) )
& ! [X261: $int,X260: $int] :
( ~ $less(b(X261),3)
| ( X260 = X261 )
| ( 10 != a(X261) )
| ( 8 != a(X260) )
| ~ $less(X261,X260) )
& ! [X81: $int,X80: $int,X82: $int] :
( ( X80 = X81 )
| ( 6 != a(X81) )
| ( 10 != a(X80) )
| ~ $less(X80,X82)
| ( 2 != b(X80) )
| ( 5 != b(X82) )
| ( 12 != a(X82) )
| ( X80 = X82 )
| ( X81 = X82 ) )
& ! [X254: $int,X253: $int,X252: $int,X255: $int] :
( ( 3 != a(X254) )
| ( 5 != b(X255) )
| ( X254 = X255 )
| ( X253 = X255 )
| ( X252 = X253 )
| ( 10 != a(X252) )
| ( X252 = X254 )
| ( X252 = X255 )
| ~ $less(X252,X254)
| ( 7 != a(X253) )
| ~ $less(b(X253),4)
| ( X253 = X254 )
| ( 2 != b(X252) )
| ~ $less(b(X254),4) )
& ! [X141: $int,X140: $int,X142: $int,X143: $int] :
( ( 12 != a(X143) )
| ( X140 = X141 )
| ~ $less(b(X141),3)
| ( X141 = X142 )
| ( X140 = X143 )
| ( 7 != a(X142) )
| ( 10 != a(X141) )
| ( 2 != b(X142) )
| ( X142 = X143 )
| ( X140 = X142 )
| ~ $less(X141,X143)
| ( 5 != b(X140) )
| ( X141 = X143 ) )
& ! [X196: $int,X198: $int,X197: $int] :
( ~ $less(b(X196),3)
| ( X197 = X198 )
| ~ $less(X196,X197)
| ( 2 != b(X198) )
| ( 4 != a(X197) )
| ( 5 != b(X197) )
| ( 7 != a(X198) )
| ( X196 = X198 )
| ( 10 != a(X196) )
| ( X196 = X197 ) )
& ! [X90: $int,X91: $int,X92: $int] :
( ( X91 = X92 )
| ~ $less(X91,X90)
| ( 5 != b(X90) )
| ( X90 = X91 )
| ( X90 = X92 )
| ( 2 != b(X92) )
| ~ $less(b(X91),3)
| ( 7 != a(X92) )
| ( 1 != a(X90) )
| ( 10 != a(X91) ) )
& ! [X129: $int,X128: $int,X127: $int] :
( ( 5 != b(X129) )
| ( 10 != a(X127) )
| ( X127 = X129 )
| ~ $less(X127,X128)
| ( 4 != a(X128) )
| ( X127 = X128 )
| ( 2 != b(X127) )
| ( X128 = X129 ) )
& ! [X61: $int,X59: $int,X60: $int,X62: $int] :
( ( 10 != a(X62) )
| ~ $less(b(X62),3)
| ~ $less(b(X60),4)
| ( X60 = X61 )
| ( X59 = X60 )
| ( 8 != a(X60) )
| ~ $less(X62,X59)
| ( X59 = X61 )
| ( 2 != b(X61) )
| ( X60 = X62 )
| ( 3 != a(X59) )
| ( X59 = X62 )
| ~ $less(b(X59),4)
| ( X61 = X62 ) )
& $less(b(z2),3)
& ! [X194: $int,X193: $int,X195: $int] :
( ( X193 = X195 )
| ~ $less(X193,X194)
| ( 5 != a(X195) )
| ( 10 != a(X193) )
| ( 6 != a(X194) )
| ( 2 != b(X193) )
| ( X194 = X195 )
| ( 5 != b(X194) )
| ( X193 = X194 ) )
& ! [X275: $int,X277: $int,X276: $int] :
( ~ $less(X276,X277)
| ( 6 != a(X275) )
| ( 10 != a(X276) )
| ( 2 != b(X276) )
| ( X275 = X277 )
| ( 5 != b(X277) )
| ( X276 = X277 )
| ( 2 != a(X277) )
| ( X275 = X276 ) )
& ! [X287: $int,X286: $int,X284: $int,X285: $int] :
( ( 5 != b(X287) )
| ( X285 = X286 )
| ( X286 = X287 )
| ( 10 != a(X284) )
| ( X284 = X287 )
| ( X284 = X285 )
| ( 1 != a(X286) )
| ~ $less(X284,X285)
| ( 5 != a(X285) )
| ~ $less(b(X284),3)
| ( X284 = X286 )
| ( X285 = X287 ) )
& ( b(z4) = 5 )
& $less(z2,z1)
& ! [X239: $int,X240: $int,X241: $int] :
( ( 5 != a(X241) )
| ( 2 != b(X239) )
| ~ $less(X240,X241)
| ( X239 = X240 )
| ( X239 = X241 )
| ( 8 != a(X239) )
| ( X240 = X241 )
| ~ $less(b(X240),3)
| ( 10 != a(X240) ) )
& ! [X223: $int,X221: $int,X222: $int] :
( ( 10 != a(X222) )
| ( 7 != a(X223) )
| ~ $less(b(X222),3)
| ( X221 = X222 )
| ~ $less(X222,X223)
| ( 8 != a(X221) )
| ( X222 = X223 )
| ( X221 = X223 ) )
& ! [X96: $int] :
( ~ $less(12,a(X96))
& ~ $less(a(X96),1) )
& ! [X102: $int,X101: $int,X100: $int,X103: $int] :
( ~ $less(X101,X102)
| ( 5 != a(X102) )
| ( 8 != a(X103) )
| ( 1 != a(X100) )
| ( X100 = X103 )
| ~ $less(b(X101),3)
| ( 10 != a(X101) )
| ( X101 = X103 )
| ( X102 = X103 )
| ( X100 = X102 )
| ( X101 = X102 )
| ( X100 = X101 ) )
& ( z4 != z5 )
& ( a(z3) = 7 )
& ! [X19: $int,X17: $int,X18: $int] :
( ( X17 = X18 )
| ( 5 != b(X17) )
| ( 5 != a(X19) )
| ( X17 = X19 )
| ( X18 = X19 )
| ~ $less(X18,X17)
| ( 10 != a(X18) )
| ( 2 != b(X18) )
| ( 12 != a(X17) ) )
& ( a(z1) = 5 )
& ! [X124: $int,X126: $int,X125: $int] :
( ~ $less(b(X126),3)
| ~ $less(X126,X124)
| ( 12 != a(X124) )
| ( 2 != b(X125) )
| ( X124 = X126 )
| ( 8 != a(X125) )
| ( X124 = X125 )
| ( 10 != a(X126) )
| ( X125 = X126 ) )
& ! [X268: $int,X269: $int,X270: $int] :
( ( X268 = X270 )
| ~ $less(b(X269),4)
| ( X269 = X270 )
| ~ $less(X270,X268)
| ( 12 != a(X268) )
| ( 5 != b(X268) )
| ( 7 != a(X269) )
| ( 10 != a(X270) )
| ( 2 != b(X270) )
| ( X268 = X269 ) )
& ! [X178: $int,X177: $int,X176: $int] :
( ( X176 = X178 )
| ~ $less(b(X177),3)
| ( 5 != b(X178) )
| ~ $less(X177,X178)
| ( 10 != a(X177) )
| ( 7 != a(X178) )
| ( 7 != a(X176) )
| ( X177 = X178 )
| ( X176 = X177 ) )
& ! [X188: $int,X189: $int] :
( ~ $less(b(X189),3)
| ~ $less(X189,X188)
| ( X188 = X189 )
| ( 10 != a(X189) )
| ( 9 != a(X188) ) )
& ! [X87: $int,X89: $int,X88: $int] :
( ( X87 = X89 )
| ( 5 != a(X88) )
| ~ $less(X89,X88)
| ( X87 = X88 )
| ( 7 != a(X87) )
| ( 2 != b(X87) )
| ( 5 != b(X88) )
| ~ $less(b(X89),3)
| ( X88 = X89 )
| ( 10 != a(X89) ) )
& ! [X161: $int] :
( ~ $less(b(X161),1)
& ~ $less(5,b(X161)) )
& ! [X227: $int,X225: $int,X224: $int,X226: $int] :
( ~ $less(b(X226),3)
| ( X224 = X227 )
| ( 5 != a(X224) )
| ( X224 = X226 )
| ( 10 != a(X226) )
| ( X225 = X227 )
| ~ $less(X226,X227)
| ( X226 = X227 )
| ( 2 != a(X225) )
| ( X225 = X226 )
| ( 7 != a(X227) )
| ( 5 != b(X227) )
| ( X224 = X225 ) )
& ! [X244: $int,X243: $int,X242: $int] :
( ( 3 != a(X244) )
| ( X242 = X243 )
| ( 10 != a(X243) )
| ( 8 != a(X242) )
| ( X242 = X244 )
| ~ $less(b(X242),4)
| ( 2 != b(X243) )
| ~ $less(b(X244),4)
| ~ $less(X243,X244)
| ( X243 = X244 ) )
& ! [X49: $int,X51: $int,X50: $int] :
( ( X50 = X51 )
| ( X49 = X50 )
| ( 8 != a(X49) )
| ( X49 = X51 )
| ( 2 != b(X49) )
| ( 10 != a(X51) )
| ( 2 != a(X50) )
| ~ $less(X51,X50)
| ~ $less(b(X51),3) )
& ! [X179: $int,X181: $int,X180: $int] :
( ( 2 != a(X181) )
| ~ $less(b(X180),4)
| ( X179 = X180 )
| ( 2 != b(X179) )
| ( 10 != a(X179) )
| ( X179 = X181 )
| ( 8 != a(X180) )
| ( X180 = X181 )
| ~ $less(X179,X181) )
& ! [X186: $int,X187: $int,X185: $int] :
( ( X186 = X187 )
| ~ $less(X187,X186)
| ~ $less(b(X187),3)
| ( 5 != b(X186) )
| ( 10 != a(X187) )
| ( 2 != b(X185) )
| ( 6 != a(X185) )
| ( X185 = X187 )
| ( 5 != a(X186) )
| ( X185 = X186 ) )
& ! [X233: $int,X232: $int,X231: $int,X234: $int] :
( ( X231 = X233 )
| ( X232 = X234 )
| ~ $less(X234,X231)
| ( 7 != a(X232) )
| ( X231 = X234 )
| ( X233 = X234 )
| ( X232 = X233 )
| ( 5 != b(X231) )
| ( 5 != a(X231) )
| ( 10 != a(X234) )
| ( X231 = X232 )
| ( 2 != a(X233) )
| ~ $less(b(X234),3) )
& ! [X245: $int,X248: $int,X246: $int,X247: $int] :
( ( X246 = X247 )
| ( X247 = X248 )
| ( 7 != a(X247) )
| ~ $less(X246,X248)
| ( X246 = X248 )
| ( X245 = X248 )
| ( 10 != a(X246) )
| ( X245 = X246 )
| ( 5 != a(X248) )
| ( 5 != b(X248) )
| ~ $less(b(X246),3)
| ( X245 = X247 )
| ( 2 != b(X245) ) )
& ! [X139: $int,X137: $int,X138: $int] :
( ( 6 != a(X137) )
| ( X137 = X139 )
| ( 5 != b(X138) )
| ( 10 != a(X139) )
| ( X138 = X139 )
| ~ $less(X139,X137)
| ( X137 = X138 )
| ~ $less(b(X139),3) )
& ! [X8: $int,X7: $int,X9: $int] :
( ( 2 != b(X9) )
| ( 7 != a(X8) )
| ( X7 = X9 )
| ( X7 = X8 )
| ( X8 = X9 )
| ( 4 != a(X7) )
| ( 10 != a(X9) )
| ( 5 != b(X8) )
| ~ $less(X9,X8) )
& ! [X74: $int,X75: $int,X73: $int] :
( ~ $less(X74,X75)
| ( 1 != a(X75) )
| ( 5 != b(X75) )
| ( 2 != b(X74) )
| ( X74 = X75 )
| ( X73 = X74 )
| ( 10 != a(X74) )
| ( X73 = X75 )
| ( 6 != a(X73) ) )
& ! [X46: $int,X45: $int,X48: $int,X47: $int] :
( ( 2 != a(X46) )
| ( X47 = X48 )
| ( 10 != a(X45) )
| ( 5 != b(X46) )
| ( 5 != a(X47) )
| ( X46 = X48 )
| ( X45 = X48 )
| ( X45 = X47 )
| ( X45 = X46 )
| ~ $less(b(X45),3)
| ( X46 = X47 )
| ~ $less(X45,X47)
| ( 7 != a(X48) ) )
& ! [X98: $int,X99: $int,X97: $int] :
( ( X98 = X99 )
| ( X97 = X99 )
| ( X97 = X98 )
| ~ $less(X98,X97)
| ( 2 != b(X98) )
| ( 8 != a(X99) )
| ( 10 != a(X98) )
| ( 5 != a(X97) ) )
& ! [X95: $int,X94: $int,X93: $int] :
( ( 4 != a(X94) )
| ~ $less(X93,X94)
| ( 10 != a(X93) )
| ~ $less(b(X93),3)
| ( 2 != b(X95) )
| ( X93 = X94 )
| ( X94 = X95 )
| ( 8 != a(X95) )
| ( X93 = X95 ) )
& ! [X10: $int,X12: $int,X11: $int] :
( ( 5 != b(X10) )
| ( X11 = X12 )
| ( X10 = X11 )
| ~ $less(X11,X10)
| ( 6 != a(X10) )
| ( 2 != b(X11) )
| ( 4 != a(X12) )
| ( 10 != a(X11) )
| ( X10 = X12 ) )
& ! [X29: $int,X28: $int,X30: $int] :
( ( 2 != b(X28) )
| ( 5 != a(X30) )
| ~ $less(X28,X30)
| ( 5 != b(X30) )
| ( 6 != a(X29) )
| ( X28 = X29 )
| ( X29 = X30 )
| ( 10 != a(X28) )
| ( X28 = X30 ) )
& ! [X257: $int,X259: $int,X256: $int,X258: $int] :
( ( X257 = X259 )
| ( 10 != a(X258) )
| ( X258 = X259 )
| ( X256 = X257 )
| ( 5 != a(X257) )
| ( 2 != b(X256) )
| ~ $less(b(X258),3)
| ( 6 != a(X259) )
| ~ $less(X258,X259)
| ( X256 = X258 )
| ( X257 = X258 )
| ( 5 != b(X259) )
| ( X256 = X259 ) )
& ! [X278: $int,X279: $int,X280: $int] :
( ( 10 != a(X279) )
| ( 4 != a(X280) )
| ( X278 = X280 )
| ~ $less(X279,X280)
| ( 8 != a(X278) )
| ( X279 = X280 )
| ( X278 = X279 )
| ( 2 != b(X279) ) )
& ! [X112: $int,X110: $int,X111: $int] :
( ( X110 = X112 )
| ( X110 = X111 )
| ( 5 != b(X111) )
| ~ $less(b(X112),3)
| ( 12 != a(X111) )
| ( 10 != a(X112) )
| ( 2 != b(X110) )
| ~ $less(X112,X111)
| ( 7 != a(X110) )
| ( X111 = X112 ) )
& ! [X151: $int,X154: $int,X153: $int,X152: $int] :
( ( X152 = X153 )
| ( 7 != a(X151) )
| ( X153 = X154 )
| ( X151 = X154 )
| ( 2 != b(X151) )
| ~ $less(X154,X153)
| ( X152 = X154 )
| ( 1 != a(X153) )
| ~ $less(b(X154),3)
| ( X151 = X152 )
| ( X151 = X153 )
| ( 10 != a(X154) )
| ( 5 != b(X152) ) )
& ! [X6: $int,X3: $int,X4: $int,X5: $int] :
( ~ $less(b(X3),3)
| ( X4 = X6 )
| ( X5 = X6 )
| ( X3 = X4 )
| ( 2 != b(X6) )
| ( 5 != a(X4) )
| ( X4 = X5 )
| ~ $less(X3,X4)
| ( X3 = X5 )
| ( 8 != a(X5) )
| ( X3 = X6 )
| ( 10 != a(X3) ) )
& ( z2 != z3 )
& ( z3 != z4 )
& ! [X15: $int,X16: $int,X14: $int,X13: $int] :
( ( 5 != b(X16) )
| ( 7 != a(X16) )
| ( X14 = X15 )
| ~ $less(b(X15),3)
| ( X14 = X16 )
| ( X13 = X15 )
| ( 10 != a(X15) )
| ( 5 != a(X14) )
| ( X15 = X16 )
| ( X13 = X16 )
| ~ $less(X15,X16)
| ( 2 != b(X13) )
| ( X13 = X14 ) )
& ! [X135: $int,X136: $int,X133: $int,X134: $int] :
( ( 2 != b(X133) )
| ( X134 = X135 )
| ( X133 = X135 )
| ( 10 != a(X135) )
| ( X135 = X136 )
| ( 2 != b(X134) )
| ~ $less(X135,X136)
| ~ $less(b(X135),3)
| ( 5 != b(X136) )
| ( X133 = X136 )
| ( 5 != a(X136) )
| ( X134 = X136 )
| ( 5 != a(X133) )
| ( X133 = X134 ) )
& ! [X22: $int,X20: $int,X21: $int,X23: $int] :
( ~ $less(b(X23),3)
| ( 10 != a(X23) )
| ( X20 = X22 )
| ( X21 = X22 )
| ( 8 != a(X21) )
| ( 4 != a(X20) )
| ~ $less(X23,X20)
| ( X20 = X21 )
| ( X20 = X23 )
| ( X21 = X23 )
| ( X22 = X23 )
| ( 2 != b(X22) ) )
& ! [X235: $int,X236: $int,X237: $int,X238: $int] :
( ( 7 != a(X237) )
| ~ $less(b(X238),3)
| ( X235 = X238 )
| ( X236 = X238 )
| ( 2 != b(X235) )
| ( 4 != a(X236) )
| ~ $less(X238,X236)
| ( 5 != b(X236) )
| ( X237 = X238 )
| ( 10 != a(X238) )
| ( X235 = X237 )
| ( X236 = X237 )
| ( X235 = X236 ) )
& ( z2 != z4 )
& ! [X230: $int,X228: $int,X229: $int] :
( ( 5 != b(X228) )
| ( X229 = X230 )
| ( 12 != a(X228) )
| ( X228 = X229 )
| ( X228 = X230 )
| ( 4 != a(X229) )
| ( 10 != a(X230) )
| ~ $less(X230,X228)
| ( 2 != b(X230) ) )
& ! [X121: $int,X122: $int,X123: $int] :
( ( 4 != a(X121) )
| ( 10 != a(X123) )
| ( 5 != b(X122) )
| ( 2 != b(X123) )
| ( X121 = X123 )
| ( X121 = X122 )
| ( X122 = X123 )
| ( 5 != a(X122) )
| ~ $less(X123,X122) )
& ! [X145: $int,X146: $int,X147: $int,X144: $int] :
( ( X145 = X147 )
| ( X145 = X146 )
| ( X144 = X147 )
| ( 2 != a(X147) )
| ~ $less(X146,X145)
| ~ $less(b(X146),3)
| ( X144 = X145 )
| ( 8 != a(X144) )
| ( X144 = X146 )
| ( X146 = X147 )
| ( 10 != a(X146) )
| ( 5 != a(X145) ) )
& ! [X33: $int,X34: $int,X32: $int,X31: $int] :
( ~ $less(b(X31),3)
| ( X31 = X34 )
| ~ $less(X31,X33)
| ( X31 = X32 )
| ( X31 = X33 )
| ( X32 = X34 )
| ( X32 = X33 )
| ( 5 != a(X33) )
| ( 6 != a(X34) )
| ( 2 != b(X32) )
| ( 5 != b(X33) )
| ( 10 != a(X31) )
| ( X33 = X34 ) )
& ! [X192: $int,X191: $int,X190: $int] :
( ( 5 != b(X191) )
| ( X191 = X192 )
| ( 10 != a(X192) )
| ( X190 = X192 )
| ( 2 != b(X192) )
| ( X190 = X191 )
| ( 5 != a(X190) )
| ~ $less(X192,X190) )
& ! [X105: $int,X104: $int,X106: $int] :
( ~ $less(X106,X104)
| ( 7 != a(X104) )
| ( 5 != a(X105) )
| ( X105 = X106 )
| ( 5 != b(X104) )
| ( 10 != a(X106) )
| ( X104 = X106 )
| ( X104 = X105 )
| ( 2 != b(X106) ) )
& ! [X53: $int,X54: $int,X52: $int] :
( ~ $less(X54,X52)
| ( 7 != a(X53) )
| ~ $less(b(X53),4)
| ( 2 != a(X52) )
| ( 5 != b(X52) )
| ( X53 = X54 )
| ( X52 = X53 )
| ( 10 != a(X54) )
| ( X52 = X54 )
| ( 2 != b(X54) ) )
& ! [X159: $int,X160: $int,X158: $int] :
( ( 2 != a(X159) )
| ( 5 != b(X159) )
| ( 7 != a(X160) )
| ( X158 = X160 )
| ( X159 = X160 )
| ~ $less(b(X158),3)
| ~ $less(X158,X159)
| ( 2 != b(X160) )
| ( 10 != a(X158) )
| ( X158 = X159 ) )
& ! [X217: $int,X216: $int,X215: $int,X214: $int] :
( ( X215 = X217 )
| ( X214 = X215 )
| ( 2 != b(X216) )
| ( X216 = X217 )
| ( 5 != b(X215) )
| ( X214 = X217 )
| ( X215 = X216 )
| ( X214 = X216 )
| ( 10 != a(X217) )
| ~ $less(b(X217),3)
| ~ $less(X217,X214)
| ( 5 != a(X214) ) )
& ! [X43: $int,X44: $int,X42: $int,X41: $int] :
( ( 4 != a(X44) )
| ( X41 = X44 )
| ( X43 = X44 )
| ( X41 = X43 )
| ~ $less(b(X42),3)
| ( 5 != b(X41) )
| ( X42 = X44 )
| ~ $less(X42,X44)
| ( X42 = X43 )
| ( 10 != a(X42) )
| ( X41 = X42 )
| ( 2 != b(X43) ) )
& ! [X84: $int,X85: $int,X83: $int,X86: $int] :
( ( X84 = X86 )
| ~ $less(b(X85),4)
| ( 3 != a(X85) )
| ( X84 = X85 )
| ( X83 = X84 )
| ( 5 != b(X86) )
| ( X83 = X86 )
| ( 10 != a(X84) )
| ( 7 != a(X83) )
| ( X85 = X86 )
| ~ $less(X84,X85)
| ( X83 = X85 )
| ~ $less(b(X84),3)
| ( 2 != b(X83) ) )
& ! [X65: $int,X63: $int,X64: $int] :
( ( 10 != a(X65) )
| ~ $less(X65,X63)
| ( X63 = X65 )
| ( X64 = X65 )
| ( 4 != a(X63) )
| ( 5 != b(X63) )
| ( X63 = X64 )
| ( 7 != a(X64) )
| ( 2 != b(X65) ) )
& ! [X267: $int,X265: $int,X266: $int] :
( ( X265 = X266 )
| ( 12 != a(X266) )
| ( 8 != a(X265) )
| ( X266 = X267 )
| ( 10 != a(X267) )
| ( X265 = X267 )
| ~ $less(X267,X266)
| ( 2 != b(X267) )
| ~ $less(b(X265),4) )
& ( a(z2) = 10 )
& ! [X39: $int,X38: $int,X40: $int] :
( ( 1 != a(X40) )
| ~ $less(X38,X40)
| ( 10 != a(X38) )
| ( X38 = X39 )
| ~ $less(b(X39),4)
| ( 8 != a(X39) )
| ( X38 = X40 )
| ( X39 = X40 )
| ( 2 != b(X38) ) )
& ( z1 != z3 )
& ! [X263: $int,X264: $int,X262: $int] :
( ( 1 != a(X262) )
| ( 5 != b(X262) )
| ( X262 = X263 )
| ( X262 = X264 )
| ~ $less(X263,X262)
| ( 10 != a(X263) )
| ( 4 != a(X264) )
| ( 2 != b(X263) )
| ( X263 = X264 ) )
& ! [X212: $int,X213: $int] :
( ( X212 = X213 )
| ( 10 != a(X213) )
| ( 10 != a(X212) ) ) ),
inference(flattening,[],[f6]) ).
tff(f8,plain,
( ! [X0: $int,X1: $int,X2: $int] :
( ( 5 != b(X2) )
| ( 1 != a(X2) )
| ( X1 = X2 )
| ( a(X0) != 5 )
| ( X0 = X2 )
| ~ $less(X1,X2)
| ( X0 = X1 )
| ( 10 != a(X1) )
| ( b(X1) != 2 ) )
& ! [X3: $int,X4: $int,X5: $int] :
( ( 2 != a(X5) )
| ( X3 = X5 )
| ( 4 != a(X3) )
| ( X4 = X5 )
| ( 5 != b(X5) )
| ~ $less(X4,X5)
| ( X3 = X4 )
| ( 10 != a(X4) )
| ( 2 != b(X4) ) )
& ! [X6: $int,X7: $int,X8: $int] :
( ( X6 = X8 )
| ( X6 = X7 )
| ~ $less(X8,X6)
| ( 10 != a(X8) )
| ( 2 != b(X8) )
| ( X7 = X8 )
| ( 6 != a(X7) )
| ( 4 != a(X6) )
| ( 5 != b(X6) ) )
& ( z2 != z5 )
& ! [X9: $int,X10: $int,X11: $int] :
( ( 7 != a(X9) )
| ( 10 != a(X11) )
| ~ $less(b(X11),3)
| ( X9 = X11 )
| ( 6 != a(X10) )
| ~ $less(X11,X9)
| ( 5 != b(X9) )
| ( X10 = X11 )
| ( X9 = X10 ) )
& ! [X12: $int,X13: $int,X14: $int,X15: $int] :
( ~ $less(b(X12),3)
| ( 8 != a(X14) )
| ( 10 != a(X12) )
| ( X14 = X15 )
| ( 4 != a(X15) )
| ~ $less(X12,X15)
| ( X12 = X14 )
| ( X13 = X15 )
| ( 2 != a(X13) )
| ( X13 = X14 )
| ( X12 = X15 )
| ( X12 = X13 ) )
& ! [X16: $int,X17: $int,X18: $int] :
( ( 2 != b(X18) )
| ( 5 != b(X17) )
| ~ $less(X18,X17)
| ( X16 = X18 )
| ( 5 != a(X16) )
| ( 10 != a(X18) )
| ( X17 = X18 )
| ( 5 != a(X17) )
| ( X16 = X17 ) )
& ! [X19: $int,X20: $int,X21: $int] :
( ~ $less(X21,X20)
| ( 4 != a(X19) )
| ( X20 = X21 )
| ( X19 = X20 )
| ( 5 != b(X20) )
| ( X19 = X21 )
| ( 10 != a(X21) )
| ( 2 != b(X21) )
| ( 4 != a(X20) ) )
& ! [X22: $int,X23: $int,X24: $int] :
( ( 10 != a(X23) )
| ( X22 = X23 )
| ~ $less(X23,X22)
| ( X23 = X24 )
| ~ $less(b(X23),3)
| ( 6 != a(X22) )
| ( 8 != a(X24) )
| ( X22 = X24 ) )
& ! [X25: $int,X26: $int,X27: $int,X28: $int] :
( ( X25 = X28 )
| ( 7 != a(X25) )
| ( X25 = X27 )
| ( 5 != b(X26) )
| ( X26 = X27 )
| ( X26 = X28 )
| ~ $less(b(X25),4)
| ( X27 = X28 )
| ( X25 = X26 )
| ( 10 != a(X28) )
| ~ $less(X28,X27)
| ( 2 != b(X28) )
| ( 2 != a(X27) ) )
& ( a(z4) = 1 )
& ! [X29: $int,X30: $int,X31: $int] :
( ( 5 != a(X30) )
| ( 5 != b(X29) )
| ( 2 != a(X29) )
| ( X29 = X30 )
| ( X30 = X31 )
| ( 2 != b(X31) )
| ( X29 = X31 )
| ~ $less(X31,X29)
| ( 10 != a(X31) ) )
& ! [X32: $int,X33: $int,X34: $int,X35: $int] :
( ( 10 != a(X33) )
| ( X32 = X33 )
| ( X32 = X34 )
| ( 4 != a(X35) )
| ( X33 = X35 )
| ( 7 != a(X32) )
| ~ $less(X33,X35)
| ( X33 = X34 )
| ( X34 = X35 )
| ( 5 != b(X34) )
| ( X32 = X35 )
| ~ $less(b(X33),3)
| ( 2 != b(X32) ) )
& ( z3 != z5 )
& ( z1 != z2 )
& ! [X36: $int,X37: $int,X38: $int] :
( ( 5 != b(X37) )
| ( 10 != a(X36) )
| ~ $less(b(X36),3)
| ( 7 != a(X38) )
| ( X36 = X37 )
| ~ $less(X36,X38)
| ( X36 = X38 )
| ( X37 = X38 ) )
& ( z1 != z5 )
& ! [X39: $int,X40: $int,X41: $int] :
( ( X40 = X41 )
| ( 2 != b(X40) )
| ( 1 != a(X41) )
| ~ $less(X40,X41)
| ( 5 != b(X41) )
| ( 10 != a(X40) )
| ( X39 = X41 )
| ( X39 = X40 )
| ( 7 != a(X39) )
| ~ $less(b(X39),4) )
& ! [X42: $int,X43: $int,X44: $int] :
( ( X42 = X43 )
| ~ $less(X42,X44)
| ( 5 != b(X44) )
| ( X42 = X44 )
| ( 7 != a(X43) )
| ( 2 != b(X42) )
| ( X43 = X44 )
| ( 5 != a(X44) )
| ( 10 != a(X42) ) )
& ! [X45: $int,X46: $int,X47: $int] :
( ~ $less(X45,X47)
| ( 2 != b(X46) )
| ( 1 != a(X47) )
| ( 10 != a(X45) )
| ( X46 = X47 )
| ( X45 = X46 )
| ( X45 = X47 )
| ( 8 != a(X46) )
| ~ $less(b(X45),3) )
& ( z1 != z4 )
& ! [X48: $int,X49: $int,X50: $int,X51: $int] :
( ( 2 != a(X51) )
| ( X48 = X49 )
| ( 5 != b(X48) )
| ~ $less(b(X49),3)
| ( X50 = X51 )
| ( X48 = X51 )
| ( X48 = X50 )
| ( 10 != a(X49) )
| ( X49 = X51 )
| ( 4 != a(X50) )
| ~ $less(X49,X50)
| ( X49 = X50 ) )
& ! [X52: $int,X53: $int,X54: $int,X55: $int] :
( ~ $less(X52,X53)
| ( X54 = X55 )
| ( 10 != a(X52) )
| ( X52 = X53 )
| ( 7 != a(X54) )
| ~ $less(b(X52),3)
| ( 2 != a(X53) )
| ( 5 != b(X55) )
| ( X53 = X54 )
| ( 2 != b(X54) )
| ( X53 = X55 )
| ( X52 = X55 )
| ( X52 = X54 ) )
& ! [X56: $int,X57: $int,X58: $int,X59: $int] :
( ( X57 = X59 )
| ( 7 != a(X57) )
| ( 2 != b(X58) )
| ~ $less(b(X57),4)
| ( X57 = X58 )
| ( X56 = X57 )
| ( X56 = X58 )
| ( 12 != a(X59) )
| ( 10 != a(X58) )
| ( 5 != b(X56) )
| ~ $less(X58,X59)
| ( X56 = X59 )
| ( X58 = X59 ) )
& ! [X60: $int,X61: $int,X62: $int,X63: $int] :
( ( X60 = X61 )
| ( X62 = X63 )
| ( X61 = X62 )
| ( 5 != b(X62) )
| ( 4 != a(X61) )
| ( X61 = X63 )
| ( X60 = X62 )
| ( 10 != a(X63) )
| ~ $less(X63,X61)
| ( 1 != a(X60) )
| ~ $less(b(X63),3)
| ( X60 = X63 ) )
& ! [X64: $int,X65: $int,X66: $int] :
( ( X64 = X66 )
| ( 10 != a(X66) )
| ( 6 != a(X65) )
| ( X64 = X65 )
| ~ $less(b(X66),3)
| ( X65 = X66 )
| ~ $less(X66,X64)
| ( 5 != b(X64) )
| ( 6 != a(X64) ) )
& ! [X67: $int,X68: $int,X69: $int] :
( ( 10 != a(X69) )
| ( 5 != a(X68) )
| ~ $less(X69,X67)
| ( X67 = X68 )
| ( X68 = X69 )
| ( 4 != a(X67) )
| ( X67 = X69 )
| ( 5 != b(X67) )
| ( 2 != b(X69) ) )
& ! [X70: $int,X71: $int,X72: $int,X73: $int] :
( ( X72 = X73 )
| ( X71 = X73 )
| ( 4 != a(X72) )
| ~ $less(X71,X73)
| ( X71 = X72 )
| ( X70 = X72 )
| ( X70 = X73 )
| ( X70 = X71 )
| ( 7 != a(X73) )
| ~ $less(b(X71),3)
| ( 2 != b(X70) )
| ( 10 != a(X71) )
| ( 5 != b(X73) ) )
& ! [X74: $int,X75: $int,X76: $int,X77: $int] :
( ( 5 != b(X74) )
| ( 2 != b(X76) )
| ~ $less(b(X75),4)
| ( X75 = X76 )
| ( X74 = X76 )
| ~ $less(X76,X77)
| ( 1 != a(X77) )
| ( X74 = X75 )
| ( 10 != a(X76) )
| ( X74 = X77 )
| ( X76 = X77 )
| ( 7 != a(X75) )
| ( X75 = X77 ) )
& ! [X78: $int,X79: $int,X80: $int] :
( ( 5 != b(X79) )
| ( X78 = X79 )
| ( X78 = X80 )
| ( 10 != a(X80) )
| ~ $less(b(X80),3)
| ~ $less(X80,X79)
| ( 6 != a(X79) )
| ( X79 = X80 )
| ( 7 != a(X78) ) )
& ( b(z3) = 5 )
& ! [X81: $int,X82: $int,X83: $int] :
( ( 10 != a(X82) )
| ( 3 != a(X81) )
| ( X81 = X82 )
| ~ $less(X82,X81)
| ( 2 != b(X83) )
| ( X82 = X83 )
| ~ $less(b(X82),3)
| ~ $less(b(X81),4)
| ( 8 != a(X83) )
| ( X81 = X83 ) )
& ! [X84: $int,X85: $int,X86: $int,X87: $int] :
( ( 2 != a(X85) )
| ~ $less(b(X86),3)
| ( 5 != b(X84) )
| ( X84 = X86 )
| ( X84 = X87 )
| ( X85 = X87 )
| ~ $less(X86,X87)
| ( 10 != a(X86) )
| ( X86 = X87 )
| ( X85 = X86 )
| ( 5 != a(X87) )
| ( X84 = X85 ) )
& ! [X88: $int,X89: $int] :
( ~ $less(b(X88),3)
| ( X88 = X89 )
| ( 10 != a(X88) )
| ( 8 != a(X89) )
| ~ $less(X88,X89) )
& ! [X90: $int,X91: $int,X92: $int] :
( ( X90 = X91 )
| ( 6 != a(X90) )
| ( 10 != a(X91) )
| ~ $less(X91,X92)
| ( 2 != b(X91) )
| ( 5 != b(X92) )
| ( 12 != a(X92) )
| ( X91 = X92 )
| ( X90 = X92 ) )
& ! [X93: $int,X94: $int,X95: $int,X96: $int] :
( ( 3 != a(X93) )
| ( 5 != b(X96) )
| ( X93 = X96 )
| ( X94 = X96 )
| ( X94 = X95 )
| ( 10 != a(X95) )
| ( X93 = X95 )
| ( X95 = X96 )
| ~ $less(X95,X93)
| ( 7 != a(X94) )
| ~ $less(b(X94),4)
| ( X93 = X94 )
| ( 2 != b(X95) )
| ~ $less(b(X93),4) )
& ! [X97: $int,X98: $int,X99: $int,X100: $int] :
( ( 12 != a(X100) )
| ( X97 = X98 )
| ~ $less(b(X97),3)
| ( X97 = X99 )
| ( X98 = X100 )
| ( 7 != a(X99) )
| ( 10 != a(X97) )
| ( 2 != b(X99) )
| ( X99 = X100 )
| ( X98 = X99 )
| ~ $less(X97,X100)
| ( 5 != b(X98) )
| ( X97 = X100 ) )
& ! [X101: $int,X102: $int,X103: $int] :
( ~ $less(b(X101),3)
| ( X102 = X103 )
| ~ $less(X101,X103)
| ( 2 != b(X102) )
| ( 4 != a(X103) )
| ( 5 != b(X103) )
| ( 7 != a(X102) )
| ( X101 = X102 )
| ( 10 != a(X101) )
| ( X101 = X103 ) )
& ! [X104: $int,X105: $int,X106: $int] :
( ( X105 = X106 )
| ~ $less(X105,X104)
| ( 5 != b(X104) )
| ( X104 = X105 )
| ( X104 = X106 )
| ( 2 != b(X106) )
| ~ $less(b(X105),3)
| ( 7 != a(X106) )
| ( 1 != a(X104) )
| ( 10 != a(X105) ) )
& ! [X107: $int,X108: $int,X109: $int] :
( ( 5 != b(X107) )
| ( 10 != a(X109) )
| ( X107 = X109 )
| ~ $less(X109,X108)
| ( 4 != a(X108) )
| ( X108 = X109 )
| ( 2 != b(X109) )
| ( X107 = X108 ) )
& ! [X110: $int,X111: $int,X112: $int,X113: $int] :
( ( 10 != a(X113) )
| ~ $less(b(X113),3)
| ~ $less(b(X112),4)
| ( X110 = X112 )
| ( X111 = X112 )
| ( 8 != a(X112) )
| ~ $less(X113,X111)
| ( X110 = X111 )
| ( 2 != b(X110) )
| ( X112 = X113 )
| ( 3 != a(X111) )
| ( X111 = X113 )
| ~ $less(b(X111),4)
| ( X110 = X113 ) )
& $less(b(z2),3)
& ! [X114: $int,X115: $int,X116: $int] :
( ( X115 = X116 )
| ~ $less(X115,X114)
| ( 5 != a(X116) )
| ( 10 != a(X115) )
| ( 6 != a(X114) )
| ( 2 != b(X115) )
| ( X114 = X116 )
| ( 5 != b(X114) )
| ( X114 = X115 ) )
& ! [X117: $int,X118: $int,X119: $int] :
( ~ $less(X119,X118)
| ( 6 != a(X117) )
| ( 10 != a(X119) )
| ( 2 != b(X119) )
| ( X117 = X118 )
| ( 5 != b(X118) )
| ( X118 = X119 )
| ( 2 != a(X118) )
| ( X117 = X119 ) )
& ! [X120: $int,X121: $int,X122: $int,X123: $int] :
( ( 5 != b(X120) )
| ( X121 = X123 )
| ( X120 = X121 )
| ( 10 != a(X122) )
| ( X120 = X122 )
| ( X122 = X123 )
| ( 1 != a(X121) )
| ~ $less(X122,X123)
| ( 5 != a(X123) )
| ~ $less(b(X122),3)
| ( X121 = X122 )
| ( X120 = X123 ) )
& ( b(z4) = 5 )
& $less(z2,z1)
& ! [X124: $int,X125: $int,X126: $int] :
( ( 5 != a(X126) )
| ( 2 != b(X124) )
| ~ $less(X125,X126)
| ( X124 = X125 )
| ( X124 = X126 )
| ( 8 != a(X124) )
| ( X125 = X126 )
| ~ $less(b(X125),3)
| ( 10 != a(X125) ) )
& ! [X127: $int,X128: $int,X129: $int] :
( ( 10 != a(X129) )
| ( 7 != a(X127) )
| ~ $less(b(X129),3)
| ( X128 = X129 )
| ~ $less(X129,X127)
| ( 8 != a(X128) )
| ( X127 = X129 )
| ( X127 = X128 ) )
& ! [X130: $int] :
( ~ $less(12,a(X130))
& ~ $less(a(X130),1) )
& ! [X131: $int,X132: $int,X133: $int,X134: $int] :
( ~ $less(X132,X131)
| ( 5 != a(X131) )
| ( 8 != a(X134) )
| ( 1 != a(X133) )
| ( X133 = X134 )
| ~ $less(b(X132),3)
| ( 10 != a(X132) )
| ( X132 = X134 )
| ( X131 = X134 )
| ( X131 = X133 )
| ( X131 = X132 )
| ( X132 = X133 ) )
& ( z4 != z5 )
& ( a(z3) = 7 )
& ! [X135: $int,X136: $int,X137: $int] :
( ( X136 = X137 )
| ( 5 != b(X136) )
| ( 5 != a(X135) )
| ( X135 = X136 )
| ( X135 = X137 )
| ~ $less(X137,X136)
| ( 10 != a(X137) )
| ( 2 != b(X137) )
| ( 12 != a(X136) ) )
& ( a(z1) = 5 )
& ! [X138: $int,X139: $int,X140: $int] :
( ~ $less(b(X139),3)
| ~ $less(X139,X138)
| ( 12 != a(X138) )
| ( 2 != b(X140) )
| ( X138 = X139 )
| ( 8 != a(X140) )
| ( X138 = X140 )
| ( 10 != a(X139) )
| ( X139 = X140 ) )
& ! [X141: $int,X142: $int,X143: $int] :
( ( X141 = X143 )
| ~ $less(b(X142),4)
| ( X142 = X143 )
| ~ $less(X143,X141)
| ( 12 != a(X141) )
| ( 5 != b(X141) )
| ( 7 != a(X142) )
| ( 10 != a(X143) )
| ( 2 != b(X143) )
| ( X141 = X142 ) )
& ! [X144: $int,X145: $int,X146: $int] :
( ( X144 = X146 )
| ~ $less(b(X145),3)
| ( 5 != b(X144) )
| ~ $less(X145,X144)
| ( 10 != a(X145) )
| ( 7 != a(X144) )
| ( 7 != a(X146) )
| ( X144 = X145 )
| ( X145 = X146 ) )
& ! [X147: $int,X148: $int] :
( ~ $less(b(X148),3)
| ~ $less(X148,X147)
| ( X147 = X148 )
| ( 10 != a(X148) )
| ( 9 != a(X147) ) )
& ! [X149: $int,X150: $int,X151: $int] :
( ( X149 = X150 )
| ( 5 != a(X151) )
| ~ $less(X150,X151)
| ( X149 = X151 )
| ( 7 != a(X149) )
| ( 2 != b(X149) )
| ( 5 != b(X151) )
| ~ $less(b(X150),3)
| ( X150 = X151 )
| ( 10 != a(X150) ) )
& ! [X152: $int] :
( ~ $less(b(X152),1)
& ~ $less(5,b(X152)) )
& ! [X153: $int,X154: $int,X155: $int,X156: $int] :
( ~ $less(b(X156),3)
| ( X153 = X155 )
| ( 5 != a(X155) )
| ( X155 = X156 )
| ( 10 != a(X156) )
| ( X153 = X154 )
| ~ $less(X156,X153)
| ( X153 = X156 )
| ( 2 != a(X154) )
| ( X154 = X156 )
| ( 7 != a(X153) )
| ( 5 != b(X153) )
| ( X154 = X155 ) )
& ! [X157: $int,X158: $int,X159: $int] :
( ( 3 != a(X157) )
| ( X158 = X159 )
| ( 10 != a(X158) )
| ( 8 != a(X159) )
| ( X157 = X159 )
| ~ $less(b(X159),4)
| ( 2 != b(X158) )
| ~ $less(b(X157),4)
| ~ $less(X158,X157)
| ( X157 = X158 ) )
& ! [X160: $int,X161: $int,X162: $int] :
( ( X161 = X162 )
| ( X160 = X162 )
| ( 8 != a(X160) )
| ( X160 = X161 )
| ( 2 != b(X160) )
| ( 10 != a(X161) )
| ( 2 != a(X162) )
| ~ $less(X161,X162)
| ~ $less(b(X161),3) )
& ! [X163: $int,X164: $int,X165: $int] :
( ( 2 != a(X164) )
| ~ $less(b(X165),4)
| ( X163 = X165 )
| ( 2 != b(X163) )
| ( 10 != a(X163) )
| ( X163 = X164 )
| ( 8 != a(X165) )
| ( X164 = X165 )
| ~ $less(X163,X164) )
& ! [X166: $int,X167: $int,X168: $int] :
( ( X166 = X167 )
| ~ $less(X167,X166)
| ~ $less(b(X167),3)
| ( 5 != b(X166) )
| ( 10 != a(X167) )
| ( 2 != b(X168) )
| ( 6 != a(X168) )
| ( X167 = X168 )
| ( 5 != a(X166) )
| ( X166 = X168 ) )
& ! [X169: $int,X170: $int,X171: $int,X172: $int] :
( ( X169 = X171 )
| ( X170 = X172 )
| ~ $less(X172,X171)
| ( 7 != a(X170) )
| ( X171 = X172 )
| ( X169 = X172 )
| ( X169 = X170 )
| ( 5 != b(X171) )
| ( 5 != a(X171) )
| ( 10 != a(X172) )
| ( X170 = X171 )
| ( 2 != a(X169) )
| ~ $less(b(X172),3) )
& ! [X173: $int,X174: $int,X175: $int,X176: $int] :
( ( X175 = X176 )
| ( X174 = X176 )
| ( 7 != a(X176) )
| ~ $less(X175,X174)
| ( X174 = X175 )
| ( X173 = X174 )
| ( 10 != a(X175) )
| ( X173 = X175 )
| ( 5 != a(X174) )
| ( 5 != b(X174) )
| ~ $less(b(X175),3)
| ( X173 = X176 )
| ( 2 != b(X173) ) )
& ! [X177: $int,X178: $int,X179: $int] :
( ( 6 != a(X178) )
| ( X177 = X178 )
| ( 5 != b(X179) )
| ( 10 != a(X177) )
| ( X177 = X179 )
| ~ $less(X177,X178)
| ( X178 = X179 )
| ~ $less(b(X177),3) )
& ! [X180: $int,X181: $int,X182: $int] :
( ( 2 != b(X182) )
| ( 7 != a(X180) )
| ( X181 = X182 )
| ( X180 = X181 )
| ( X180 = X182 )
| ( 4 != a(X181) )
| ( 10 != a(X182) )
| ( 5 != b(X180) )
| ~ $less(X182,X180) )
& ! [X183: $int,X184: $int,X185: $int] :
( ~ $less(X183,X184)
| ( 1 != a(X184) )
| ( 5 != b(X184) )
| ( 2 != b(X183) )
| ( X183 = X184 )
| ( X183 = X185 )
| ( 10 != a(X183) )
| ( X184 = X185 )
| ( 6 != a(X185) ) )
& ! [X186: $int,X187: $int,X188: $int,X189: $int] :
( ( 2 != a(X186) )
| ( X188 = X189 )
| ( 10 != a(X187) )
| ( 5 != b(X186) )
| ( 5 != a(X189) )
| ( X186 = X188 )
| ( X187 = X188 )
| ( X187 = X189 )
| ( X186 = X187 )
| ~ $less(b(X187),3)
| ( X186 = X189 )
| ~ $less(X187,X189)
| ( 7 != a(X188) ) )
& ! [X190: $int,X191: $int,X192: $int] :
( ( X190 = X191 )
| ( X191 = X192 )
| ( X190 = X192 )
| ~ $less(X190,X192)
| ( 2 != b(X190) )
| ( 8 != a(X191) )
| ( 10 != a(X190) )
| ( 5 != a(X192) ) )
& ! [X193: $int,X194: $int,X195: $int] :
( ( 4 != a(X194) )
| ~ $less(X195,X194)
| ( 10 != a(X195) )
| ~ $less(b(X195),3)
| ( 2 != b(X193) )
| ( X194 = X195 )
| ( X193 = X194 )
| ( 8 != a(X193) )
| ( X193 = X195 ) )
& ! [X196: $int,X197: $int,X198: $int] :
( ( 5 != b(X196) )
| ( X197 = X198 )
| ( X196 = X198 )
| ~ $less(X198,X196)
| ( 6 != a(X196) )
| ( 2 != b(X198) )
| ( 4 != a(X197) )
| ( 10 != a(X198) )
| ( X196 = X197 ) )
& ! [X199: $int,X200: $int,X201: $int] :
( ( 2 != b(X200) )
| ( 5 != a(X201) )
| ~ $less(X200,X201)
| ( 5 != b(X201) )
| ( 6 != a(X199) )
| ( X199 = X200 )
| ( X199 = X201 )
| ( 10 != a(X200) )
| ( X200 = X201 ) )
& ! [X202: $int,X203: $int,X204: $int,X205: $int] :
( ( X202 = X203 )
| ( 10 != a(X205) )
| ( X203 = X205 )
| ( X202 = X204 )
| ( 5 != a(X202) )
| ( 2 != b(X204) )
| ~ $less(b(X205),3)
| ( 6 != a(X203) )
| ~ $less(X205,X203)
| ( X204 = X205 )
| ( X202 = X205 )
| ( 5 != b(X203) )
| ( X203 = X204 ) )
& ! [X206: $int,X207: $int,X208: $int] :
( ( 10 != a(X207) )
| ( 4 != a(X208) )
| ( X206 = X208 )
| ~ $less(X207,X208)
| ( 8 != a(X206) )
| ( X207 = X208 )
| ( X206 = X207 )
| ( 2 != b(X207) ) )
& ! [X209: $int,X210: $int,X211: $int] :
( ( X209 = X210 )
| ( X210 = X211 )
| ( 5 != b(X211) )
| ~ $less(b(X209),3)
| ( 12 != a(X211) )
| ( 10 != a(X209) )
| ( 2 != b(X210) )
| ~ $less(X209,X211)
| ( 7 != a(X210) )
| ( X209 = X211 ) )
& ! [X212: $int,X213: $int,X214: $int,X215: $int] :
( ( X214 = X215 )
| ( 7 != a(X212) )
| ( X213 = X214 )
| ( X212 = X213 )
| ( 2 != b(X212) )
| ~ $less(X213,X214)
| ( X213 = X215 )
| ( 1 != a(X214) )
| ~ $less(b(X213),3)
| ( X212 = X215 )
| ( X212 = X214 )
| ( 10 != a(X213) )
| ( 5 != b(X215) ) )
& ! [X216: $int,X217: $int,X218: $int,X219: $int] :
( ~ $less(b(X217),3)
| ( X216 = X218 )
| ( X216 = X219 )
| ( X217 = X218 )
| ( 2 != b(X216) )
| ( 5 != a(X218) )
| ( X218 = X219 )
| ~ $less(X217,X218)
| ( X217 = X219 )
| ( 8 != a(X219) )
| ( X216 = X217 )
| ( 10 != a(X217) ) )
& ( z2 != z3 )
& ( z3 != z4 )
& ! [X220: $int,X221: $int,X222: $int,X223: $int] :
( ( 5 != b(X221) )
| ( 7 != a(X221) )
| ( X220 = X222 )
| ~ $less(b(X220),3)
| ( X221 = X222 )
| ( X220 = X223 )
| ( 10 != a(X220) )
| ( 5 != a(X222) )
| ( X220 = X221 )
| ( X221 = X223 )
| ~ $less(X220,X221)
| ( 2 != b(X223) )
| ( X222 = X223 ) )
& ! [X224: $int,X225: $int,X226: $int,X227: $int] :
( ( 2 != b(X226) )
| ( X224 = X227 )
| ( X224 = X226 )
| ( 10 != a(X224) )
| ( X224 = X225 )
| ( 2 != b(X227) )
| ~ $less(X224,X225)
| ~ $less(b(X224),3)
| ( 5 != b(X225) )
| ( X225 = X226 )
| ( 5 != a(X225) )
| ( X225 = X227 )
| ( 5 != a(X226) )
| ( X226 = X227 ) )
& ! [X228: $int,X229: $int,X230: $int,X231: $int] :
( ~ $less(b(X231),3)
| ( 10 != a(X231) )
| ( X228 = X229 )
| ( X228 = X230 )
| ( 8 != a(X230) )
| ( 4 != a(X229) )
| ~ $less(X231,X229)
| ( X229 = X230 )
| ( X229 = X231 )
| ( X230 = X231 )
| ( X228 = X231 )
| ( 2 != b(X228) ) )
& ! [X232: $int,X233: $int,X234: $int,X235: $int] :
( ( 7 != a(X234) )
| ~ $less(b(X235),3)
| ( X232 = X235 )
| ( X233 = X235 )
| ( 2 != b(X232) )
| ( 4 != a(X233) )
| ~ $less(X235,X233)
| ( 5 != b(X233) )
| ( X234 = X235 )
| ( 10 != a(X235) )
| ( X232 = X234 )
| ( X233 = X234 )
| ( X232 = X233 ) )
& ( z2 != z4 )
& ! [X236: $int,X237: $int,X238: $int] :
( ( 5 != b(X237) )
| ( X236 = X238 )
| ( 12 != a(X237) )
| ( X237 = X238 )
| ( X236 = X237 )
| ( 4 != a(X238) )
| ( 10 != a(X236) )
| ~ $less(X236,X237)
| ( 2 != b(X236) ) )
& ! [X239: $int,X240: $int,X241: $int] :
( ( 4 != a(X239) )
| ( 10 != a(X241) )
| ( 5 != b(X240) )
| ( 2 != b(X241) )
| ( X239 = X241 )
| ( X239 = X240 )
| ( X240 = X241 )
| ( 5 != a(X240) )
| ~ $less(X241,X240) )
& ! [X242: $int,X243: $int,X244: $int,X245: $int] :
( ( X242 = X244 )
| ( X242 = X243 )
| ( X244 = X245 )
| ( 2 != a(X244) )
| ~ $less(X243,X242)
| ~ $less(b(X243),3)
| ( X242 = X245 )
| ( 8 != a(X245) )
| ( X243 = X245 )
| ( X243 = X244 )
| ( 10 != a(X243) )
| ( 5 != a(X242) ) )
& ! [X246: $int,X247: $int,X248: $int,X249: $int] :
( ~ $less(b(X249),3)
| ( X247 = X249 )
| ~ $less(X249,X246)
| ( X248 = X249 )
| ( X246 = X249 )
| ( X247 = X248 )
| ( X246 = X248 )
| ( 5 != a(X246) )
| ( 6 != a(X247) )
| ( 2 != b(X248) )
| ( 5 != b(X246) )
| ( 10 != a(X249) )
| ( X246 = X247 ) )
& ! [X250: $int,X251: $int,X252: $int] :
( ( 5 != b(X251) )
| ( X250 = X251 )
| ( 10 != a(X250) )
| ( X250 = X252 )
| ( 2 != b(X250) )
| ( X251 = X252 )
| ( 5 != a(X252) )
| ~ $less(X250,X252) )
& ! [X253: $int,X254: $int,X255: $int] :
( ~ $less(X255,X254)
| ( 7 != a(X254) )
| ( 5 != a(X253) )
| ( X253 = X255 )
| ( 5 != b(X254) )
| ( 10 != a(X255) )
| ( X254 = X255 )
| ( X253 = X254 )
| ( 2 != b(X255) ) )
& ! [X256: $int,X257: $int,X258: $int] :
( ~ $less(X257,X258)
| ( 7 != a(X256) )
| ~ $less(b(X256),4)
| ( 2 != a(X258) )
| ( 5 != b(X258) )
| ( X256 = X257 )
| ( X256 = X258 )
| ( 10 != a(X257) )
| ( X257 = X258 )
| ( 2 != b(X257) ) )
& ! [X259: $int,X260: $int,X261: $int] :
( ( 2 != a(X259) )
| ( 5 != b(X259) )
| ( 7 != a(X260) )
| ( X260 = X261 )
| ( X259 = X260 )
| ~ $less(b(X261),3)
| ~ $less(X261,X259)
| ( 2 != b(X260) )
| ( 10 != a(X261) )
| ( X259 = X261 ) )
& ! [X262: $int,X263: $int,X264: $int,X265: $int] :
( ( X262 = X264 )
| ( X264 = X265 )
| ( 2 != b(X263) )
| ( X262 = X263 )
| ( 5 != b(X264) )
| ( X262 = X265 )
| ( X263 = X264 )
| ( X263 = X265 )
| ( 10 != a(X262) )
| ~ $less(b(X262),3)
| ~ $less(X262,X265)
| ( 5 != a(X265) ) )
& ! [X266: $int,X267: $int,X268: $int,X269: $int] :
( ( 4 != a(X267) )
| ( X267 = X269 )
| ( X266 = X267 )
| ( X266 = X269 )
| ~ $less(b(X268),3)
| ( 5 != b(X269) )
| ( X267 = X268 )
| ~ $less(X268,X267)
| ( X266 = X268 )
| ( 10 != a(X268) )
| ( X268 = X269 )
| ( 2 != b(X266) ) )
& ! [X270: $int,X271: $int,X272: $int,X273: $int] :
( ( X270 = X273 )
| ~ $less(b(X271),4)
| ( 3 != a(X271) )
| ( X270 = X271 )
| ( X270 = X272 )
| ( 5 != b(X273) )
| ( X272 = X273 )
| ( 10 != a(X270) )
| ( 7 != a(X272) )
| ( X271 = X273 )
| ~ $less(X270,X271)
| ( X271 = X272 )
| ~ $less(b(X270),3)
| ( 2 != b(X272) ) )
& ! [X274: $int,X275: $int,X276: $int] :
( ( 10 != a(X274) )
| ~ $less(X274,X275)
| ( X274 = X275 )
| ( X274 = X276 )
| ( 4 != a(X275) )
| ( 5 != b(X275) )
| ( X275 = X276 )
| ( 7 != a(X276) )
| ( 2 != b(X274) ) )
& ! [X277: $int,X278: $int,X279: $int] :
( ( X278 = X279 )
| ( 12 != a(X279) )
| ( 8 != a(X278) )
| ( X277 = X279 )
| ( 10 != a(X277) )
| ( X277 = X278 )
| ~ $less(X277,X279)
| ( 2 != b(X277) )
| ~ $less(b(X278),4) )
& ( a(z2) = 10 )
& ! [X280: $int,X281: $int,X282: $int] :
( ( 1 != a(X282) )
| ~ $less(X281,X282)
| ( 10 != a(X281) )
| ( X280 = X281 )
| ~ $less(b(X280),4)
| ( 8 != a(X280) )
| ( X281 = X282 )
| ( X280 = X282 )
| ( 2 != b(X281) ) )
& ( z1 != z3 )
& ! [X283: $int,X284: $int,X285: $int] :
( ( 1 != a(X285) )
| ( 5 != b(X285) )
| ( X283 = X285 )
| ( X284 = X285 )
| ~ $less(X283,X285)
| ( 10 != a(X283) )
| ( 4 != a(X284) )
| ( 2 != b(X283) )
| ( X283 = X284 ) )
& ! [X286: $int,X287: $int] :
( ( X286 = X287 )
| ( 10 != a(X287) )
| ( 10 != a(X286) ) ) ),
inference(rectify,[],[f7]) ).
tff(f11,plain,
z1 != z3,
inference(cnf_transformation,[],[f8]) ).
tff(f13,plain,
10 = a(z2),
inference(cnf_transformation,[],[f8]) ).
tff(f27,plain,
z2 != z4,
inference(cnf_transformation,[],[f8]) ).
tff(f32,plain,
z3 != z4,
inference(cnf_transformation,[],[f8]) ).
tff(f33,plain,
z2 != z3,
inference(cnf_transformation,[],[f8]) ).
tff(f61,plain,
5 = a(z1),
inference(cnf_transformation,[],[f8]) ).
tff(f70,plain,
$less(z2,z1),
inference(cnf_transformation,[],[f8]) ).
tff(f72,plain,
! [X120: $int,X121: $int,X122: $int,X123: $int] :
( ~ $less(b(X122),3)
| ( 1 != a(X121) )
| ( 5 != a(X123) )
| ( 5 != b(X120) )
| ( X121 = X123 )
| ( X120 = X123 )
| ( X121 = X122 )
| ( X120 = X121 )
| ( 10 != a(X122) )
| ( X122 = X123 )
| ( X120 = X122 )
| ~ $less(X122,X123) ),
inference(cnf_transformation,[],[f8]) ).
tff(f75,plain,
$less(b(z2),3),
inference(cnf_transformation,[],[f8]) ).
tff(f86,plain,
5 = b(z3),
inference(cnf_transformation,[],[f8]) ).
tff(f96,plain,
z1 != z4,
inference(cnf_transformation,[],[f8]) ).
tff(f102,plain,
z1 != z2,
inference(cnf_transformation,[],[f8]) ).
tff(f106,plain,
1 = a(z4),
inference(cnf_transformation,[],[f8]) ).
tff(f117,definition,
sF0 = a(z4),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f118,plain,
a(z4) = sF0,
inference(reorient_equations,[],[f117]) ).
tff(f119,plain,
1 = sF0,
inference(definition_folding,[],[f106,f118]) ).
tff(f120,definition,
sF1 = b(z3),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f121,plain,
b(z3) = sF1,
inference(reorient_equations,[],[f120]) ).
tff(f122,plain,
5 = sF1,
inference(definition_folding,[],[f86,f121]) ).
tff(f123,definition,
sF2 = b(z2),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f124,plain,
b(z2) = sF2,
inference(reorient_equations,[],[f123]) ).
tff(f125,plain,
$less(sF2,3),
inference(definition_folding,[],[f75,f124]) ).
tff(f132,definition,
sF5 = a(z1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
tff(f133,plain,
a(z1) = sF5,
inference(reorient_equations,[],[f132]) ).
tff(f134,plain,
5 = sF5,
inference(definition_folding,[],[f61,f133]) ).
tff(f135,definition,
sF6 = a(z2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
tff(f136,plain,
a(z2) = sF6,
inference(reorient_equations,[],[f135]) ).
tff(f137,plain,
10 = sF6,
inference(definition_folding,[],[f13,f136]) ).
tff(f139,definition,
( spl7_1
<=> ( 5 = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
tff(f141,plain,
( ( 5 = sF1 )
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f139]) ).
tff(f142,plain,
spl7_1,
inference(avatar_split_clause,[],[f122,f139]) ).
tff(f144,definition,
( spl7_2
<=> $less(sF2,3) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
tff(f146,plain,
( $less(sF2,3)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f144]) ).
tff(f147,plain,
spl7_2,
inference(avatar_split_clause,[],[f125,f144]) ).
tff(f154,definition,
( spl7_4
<=> ( b(z2) = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
tff(f156,plain,
( ( b(z2) = sF2 )
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f154]) ).
tff(f157,plain,
spl7_4,
inference(avatar_split_clause,[],[f124,f154]) ).
tff(f159,definition,
( spl7_5
<=> ( 5 = sF5 ) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
tff(f161,plain,
( ( 5 = sF5 )
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f159]) ).
tff(f162,plain,
spl7_5,
inference(avatar_split_clause,[],[f134,f159]) ).
tff(f164,definition,
( spl7_6
<=> ( z3 = z4 ) ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
tff(f166,plain,
( ( z3 != z4 )
| spl7_6 ),
inference(avatar_component_clause,[],[f164]) ).
tff(f167,plain,
~ spl7_6,
inference(avatar_split_clause,[],[f32,f164]) ).
tff(f174,definition,
( spl7_8
<=> ( z1 = z4 ) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
tff(f176,plain,
( ( z1 != z4 )
| spl7_8 ),
inference(avatar_component_clause,[],[f174]) ).
tff(f177,plain,
~ spl7_8,
inference(avatar_split_clause,[],[f96,f174]) ).
tff(f179,definition,
( spl7_9
<=> ( 1 = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition]) ).
tff(f181,plain,
( ( 1 = sF0 )
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f179]) ).
tff(f182,plain,
spl7_9,
inference(avatar_split_clause,[],[f119,f179]) ).
tff(f184,definition,
( spl7_10
<=> ( z1 = z3 ) ),
introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition]) ).
tff(f186,plain,
( ( z1 != z3 )
| spl7_10 ),
inference(avatar_component_clause,[],[f184]) ).
tff(f187,plain,
~ spl7_10,
inference(avatar_split_clause,[],[f11,f184]) ).
tff(f194,definition,
( spl7_12
<=> $less(z2,z1) ),
introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition]) ).
tff(f196,plain,
( $less(z2,z1)
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f194]) ).
tff(f197,plain,
spl7_12,
inference(avatar_split_clause,[],[f70,f194]) ).
tff(f199,definition,
( spl7_13
<=> ( a(z1) = sF5 ) ),
introduced(definition,[new_symbols(definition,[spl7_13])],[avatar_definition]) ).
tff(f201,plain,
( ( a(z1) = sF5 )
| ~ spl7_13 ),
inference(avatar_component_clause,[],[f199]) ).
tff(f202,plain,
spl7_13,
inference(avatar_split_clause,[],[f133,f199]) ).
tff(f204,definition,
( spl7_14
<=> ( z2 = z4 ) ),
introduced(definition,[new_symbols(definition,[spl7_14])],[avatar_definition]) ).
tff(f206,plain,
( ( z2 != z4 )
| spl7_14 ),
inference(avatar_component_clause,[],[f204]) ).
tff(f207,plain,
~ spl7_14,
inference(avatar_split_clause,[],[f27,f204]) ).
tff(f209,definition,
( spl7_15
<=> ( a(z2) = sF6 ) ),
introduced(definition,[new_symbols(definition,[spl7_15])],[avatar_definition]) ).
tff(f211,plain,
( ( a(z2) = sF6 )
| ~ spl7_15 ),
inference(avatar_component_clause,[],[f209]) ).
tff(f212,plain,
spl7_15,
inference(avatar_split_clause,[],[f136,f209]) ).
tff(f219,definition,
( spl7_17
<=> ( b(z3) = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl7_17])],[avatar_definition]) ).
tff(f221,plain,
( ( b(z3) = sF1 )
| ~ spl7_17 ),
inference(avatar_component_clause,[],[f219]) ).
tff(f222,plain,
spl7_17,
inference(avatar_split_clause,[],[f121,f219]) ).
tff(f224,definition,
( spl7_18
<=> ( z1 = z2 ) ),
introduced(definition,[new_symbols(definition,[spl7_18])],[avatar_definition]) ).
tff(f226,plain,
( ( z1 != z2 )
| spl7_18 ),
inference(avatar_component_clause,[],[f224]) ).
tff(f227,plain,
~ spl7_18,
inference(avatar_split_clause,[],[f102,f224]) ).
tff(f229,definition,
( spl7_19
<=> ( 10 = sF6 ) ),
introduced(definition,[new_symbols(definition,[spl7_19])],[avatar_definition]) ).
tff(f231,plain,
( ( 10 = sF6 )
| ~ spl7_19 ),
inference(avatar_component_clause,[],[f229]) ).
tff(f232,plain,
spl7_19,
inference(avatar_split_clause,[],[f137,f229]) ).
tff(f234,definition,
( spl7_20
<=> ( z2 = z3 ) ),
introduced(definition,[new_symbols(definition,[spl7_20])],[avatar_definition]) ).
tff(f236,plain,
( ( z2 != z3 )
| spl7_20 ),
inference(avatar_component_clause,[],[f234]) ).
tff(f237,plain,
~ spl7_20,
inference(avatar_split_clause,[],[f33,f234]) ).
tff(f254,definition,
( spl7_24
<=> ( a(z4) = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl7_24])],[avatar_definition]) ).
tff(f256,plain,
( ( a(z4) = sF0 )
| ~ spl7_24 ),
inference(avatar_component_clause,[],[f254]) ).
tff(f257,plain,
spl7_24,
inference(avatar_split_clause,[],[f118,f254]) ).
tff(f263,plain,
( $less(b(z2),3)
| ~ spl7_2
| ~ spl7_4 ),
inference(superposition,[],[f146,f156]) ).
tff(f265,definition,
( spl7_26
<=> $less(b(z2),3) ),
introduced(definition,[new_symbols(definition,[spl7_26])],[avatar_definition]) ).
tff(f267,plain,
( $less(b(z2),3)
| ~ spl7_26 ),
inference(avatar_component_clause,[],[f265]) ).
tff(f268,plain,
( spl7_26
| ~ spl7_2
| ~ spl7_4 ),
inference(avatar_split_clause,[],[f263,f154,f144,f265]) ).
tff(f295,definition,
( spl7_28
<=> ( 10 = a(z2) ) ),
introduced(definition,[new_symbols(definition,[spl7_28])],[avatar_definition]) ).
tff(f296,plain,
( ( 10 = a(z2) )
| ~ spl7_28 ),
inference(avatar_component_clause,[],[f295]) ).
tff(f432,plain,
( ( 5 = a(z1) )
| ~ spl7_5
| ~ spl7_13 ),
inference(forward_demodulation,[],[f201,f161]) ).
tff(f434,definition,
( spl7_51
<=> ( 5 = a(z1) ) ),
introduced(definition,[new_symbols(definition,[spl7_51])],[avatar_definition]) ).
tff(f436,plain,
( ( 5 = a(z1) )
| ~ spl7_51 ),
inference(avatar_component_clause,[],[f434]) ).
tff(f437,plain,
( spl7_51
| ~ spl7_5
| ~ spl7_13 ),
inference(avatar_split_clause,[],[f432,f199,f159,f434]) ).
tff(f454,plain,
( ( 10 = a(z2) )
| ~ spl7_15
| ~ spl7_19 ),
inference(forward_demodulation,[],[f211,f231]) ).
tff(f455,plain,
( spl7_28
| ~ spl7_15
| ~ spl7_19 ),
inference(avatar_split_clause,[],[f454,f229,f209,f295]) ).
tff(f504,plain,
( ( 5 = b(z3) )
| ~ spl7_1
| ~ spl7_17 ),
inference(forward_demodulation,[],[f221,f141]) ).
tff(f506,definition,
( spl7_55
<=> ( 5 = b(z3) ) ),
introduced(definition,[new_symbols(definition,[spl7_55])],[avatar_definition]) ).
tff(f508,plain,
( ( 5 = b(z3) )
| ~ spl7_55 ),
inference(avatar_component_clause,[],[f506]) ).
tff(f509,plain,
( spl7_55
| ~ spl7_1
| ~ spl7_17 ),
inference(avatar_split_clause,[],[f504,f219,f139,f506]) ).
tff(f553,plain,
( ( 1 = a(z4) )
| ~ spl7_9
| ~ spl7_24 ),
inference(forward_demodulation,[],[f256,f181]) ).
tff(f555,definition,
( spl7_56
<=> ( 1 = a(z4) ) ),
introduced(definition,[new_symbols(definition,[spl7_56])],[avatar_definition]) ).
tff(f557,plain,
( ( 1 = a(z4) )
| ~ spl7_56 ),
inference(avatar_component_clause,[],[f555]) ).
tff(f558,plain,
( spl7_56
| ~ spl7_9
| ~ spl7_24 ),
inference(avatar_split_clause,[],[f553,f254,f179,f555]) ).
tff(f616,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( z2 = X2 )
| ( 10 != a(z2) )
| ( 1 != a(X0) )
| ( 5 != a(X1) )
| ( z2 = X0 )
| ( X1 = X2 )
| ( 5 != b(X2) )
| ( X0 = X1 )
| ~ $less(z2,X1)
| ( z2 = X1 )
| ( X0 = X2 ) )
| ~ spl7_26 ),
inference(resolution,[],[f72,f267]) ).
tff(f619,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( 5 != b(X2) )
| ( z2 = X0 )
| ( 1 != a(X0) )
| ( z2 = X2 )
| ( X0 = X1 )
| ( X1 = X2 )
| ( z2 = X1 )
| ( X0 = X2 )
| ~ $less(z2,X1)
| ( 5 != a(X1) ) )
| ~ spl7_26
| ~ spl7_28 ),
inference(forward_subsumption_resolution,[],[f616,f296]) ).
tff(f833,plain,
( ! [X0: $int,X1: $int] :
( ( z3 = X0 )
| ( X0 = X1 )
| ~ $less(z2,X1)
| ( z2 = z3 )
| ( z2 = X0 )
| ( 1 != a(X0) )
| ( 5 != 5 )
| ( z2 = X1 )
| ( z3 = X1 )
| ( 5 != a(X1) ) )
| ~ spl7_26
| ~ spl7_28
| ~ spl7_55 ),
inference(superposition,[],[f619,f508]) ).
tff(f835,plain,
( ! [X0: $int,X1: $int] :
( ( z3 = X1 )
| ( z3 = X0 )
| ( z2 = X0 )
| ~ $less(z2,X1)
| ( z2 = X1 )
| ( 1 != a(X0) )
| ( 5 != a(X1) )
| ( z2 = z3 )
| ( X0 = X1 ) )
| ~ spl7_26
| ~ spl7_28
| ~ spl7_55 ),
inference(trivial_inequality_removal,[],[f833]) ).
tff(f837,plain,
( ! [X0: $int,X1: $int] :
( ( 5 != a(X1) )
| ( z2 = X1 )
| ( z2 = X0 )
| ( X0 = X1 )
| ( z3 = X1 )
| ( z3 = X0 )
| ~ $less(z2,X1)
| ( 1 != a(X0) ) )
| spl7_20
| ~ spl7_26
| ~ spl7_28
| ~ spl7_55 ),
inference(forward_subsumption_resolution,[],[f835,f236]) ).
tff(f872,plain,
( ! [X0: $int] :
( ( 5 != 5 )
| ( z1 = z3 )
| ( 1 != a(X0) )
| ( z3 = X0 )
| ( z1 = z2 )
| ( z2 = X0 )
| ~ $less(z2,z1)
| ( z1 = X0 ) )
| spl7_20
| ~ spl7_26
| ~ spl7_28
| ~ spl7_51
| ~ spl7_55 ),
inference(superposition,[],[f837,f436]) ).
tff(f874,plain,
( ! [X0: $int] :
( ( z1 = X0 )
| ( z3 = X0 )
| ~ $less(z2,z1)
| ( z1 = z2 )
| ( z1 = z3 )
| ( 1 != a(X0) )
| ( z2 = X0 ) )
| spl7_20
| ~ spl7_26
| ~ spl7_28
| ~ spl7_51
| ~ spl7_55 ),
inference(trivial_inequality_removal,[],[f872]) ).
tff(f875,plain,
( ! [X0: $int] :
( ( z1 = X0 )
| ( z3 = X0 )
| ( z2 = X0 )
| ( 1 != a(X0) )
| ( z1 = z3 )
| ( z1 = z2 ) )
| ~ spl7_12
| spl7_20
| ~ spl7_26
| ~ spl7_28
| ~ spl7_51
| ~ spl7_55 ),
inference(forward_subsumption_resolution,[],[f874,f196]) ).
tff(f876,plain,
( ! [X0: $int] :
( ( z2 = X0 )
| ( z1 = X0 )
| ( 1 != a(X0) )
| ( z3 = X0 )
| ( z1 = z2 ) )
| spl7_10
| ~ spl7_12
| spl7_20
| ~ spl7_26
| ~ spl7_28
| ~ spl7_51
| ~ spl7_55 ),
inference(forward_subsumption_resolution,[],[f875,f186]) ).
tff(f877,plain,
( ! [X0: $int] :
( ( 1 != a(X0) )
| ( z2 = X0 )
| ( z3 = X0 )
| ( z1 = X0 ) )
| spl7_10
| ~ spl7_12
| spl7_18
| spl7_20
| ~ spl7_26
| ~ spl7_28
| ~ spl7_51
| ~ spl7_55 ),
inference(forward_subsumption_resolution,[],[f876,f226]) ).
tff(f880,plain,
( ( z1 = z4 )
| ( z3 = z4 )
| ( 1 != 1 )
| ( z2 = z4 )
| spl7_10
| ~ spl7_12
| spl7_18
| spl7_20
| ~ spl7_26
| ~ spl7_28
| ~ spl7_51
| ~ spl7_55
| ~ spl7_56 ),
inference(superposition,[],[f877,f557]) ).
tff(f881,plain,
( ( z1 = z4 )
| ( z2 = z4 )
| ( z3 = z4 )
| spl7_10
| ~ spl7_12
| spl7_18
| spl7_20
| ~ spl7_26
| ~ spl7_28
| ~ spl7_51
| ~ spl7_55
| ~ spl7_56 ),
inference(trivial_inequality_removal,[],[f880]) ).
tff(f882,plain,
( ( z3 = z4 )
| ( z2 = z4 )
| spl7_8
| spl7_10
| ~ spl7_12
| spl7_18
| spl7_20
| ~ spl7_26
| ~ spl7_28
| ~ spl7_51
| ~ spl7_55
| ~ spl7_56 ),
inference(forward_subsumption_resolution,[],[f881,f176]) ).
tff(f883,plain,
( ( z2 = z4 )
| spl7_6
| spl7_8
| spl7_10
| ~ spl7_12
| spl7_18
| spl7_20
| ~ spl7_26
| ~ spl7_28
| ~ spl7_51
| ~ spl7_55
| ~ spl7_56 ),
inference(forward_subsumption_resolution,[],[f882,f166]) ).
tff(f884,plain,
( $false
| spl7_6
| spl7_8
| spl7_10
| ~ spl7_12
| spl7_14
| spl7_18
| spl7_20
| ~ spl7_26
| ~ spl7_28
| ~ spl7_51
| ~ spl7_55
| ~ spl7_56 ),
inference(forward_subsumption_resolution,[],[f883,f206]) ).
tff(f885,plain,
( spl7_6
| spl7_8
| spl7_10
| ~ spl7_12
| spl7_14
| spl7_18
| spl7_20
| ~ spl7_26
| ~ spl7_28
| ~ spl7_51
| ~ spl7_55
| ~ spl7_56 ),
inference(avatar_contradiction_clause,[],[f884]) ).
tff(f886,plain,
$false,
inference(avatar_smt_refutation,[],[f885,f558,f509,f455,f437,f268,f257,f237,f232,f227,f222,f212,f207,f202,f197,f187,f182,f177,f167,f162,f157,f147,f142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW004_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n013.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 13:07:21 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.64/1.18 % (1163377)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.64/1.18 % (1163382)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=438006738:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.64/1.18 % (1163382)Instruction limit reached!
% 3.64/1.18 % (1163382)------------------------------
% 3.64/1.18 % (1163382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.18 % (1163382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.18 % (1163382)CaDiCaL version: 2.1.3
% 3.64/1.18 % (1163382)Termination reason: Instruction limit
% 3.64/1.18 % (1163382)Termination phase: Preprocessing 3
% 3.64/1.18 % (1163382)Time elapsed: 0.003 s
% 3.64/1.18 % (1163382)Peak memory usage: 86 MB
% 3.64/1.18 % (1163382)Instructions burned: 12 (million)
% 3.64/1.18 % (1163385)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=744323823:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.64/1.18 % (1163386)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4158491277:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.64/1.18 % (1163383)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2200577138:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.64/1.18 % (1163384)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2074995746:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.64/1.18 % (1163388)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=255478392:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.64/1.18 % (1163386)Instruction limit reached!
% 3.64/1.18 % (1163386)------------------------------
% 3.64/1.18 % (1163386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.18 % (1163386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.18 % (1163386)CaDiCaL version: 2.1.3
% 3.64/1.18 % (1163386)Termination reason: Instruction limit
% 3.64/1.18 % (1163386)Termination phase: Property scanning
% 3.64/1.18 % (1163386)Time elapsed: 0.002 s
% 3.64/1.18 % (1163386)Peak memory usage: 85 MB
% 3.64/1.18 % (1163386)Instructions burned: 4 (million)
% 3.64/1.18 % (1163385)Instruction limit reached!
% 3.64/1.18 % (1163385)------------------------------
% 3.64/1.18 % (1163385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.18 % (1163385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.18 % (1163385)CaDiCaL version: 2.1.3
% 3.64/1.18 % (1163385)Termination reason: Instruction limit
% 3.64/1.18 % (1163385)Termination phase: Preprocessing 2
% 3.64/1.18 % (1163385)Time elapsed: 0.004 s
% 3.64/1.18 % (1163385)Peak memory usage: 85 MB
% 3.64/1.18 % (1163385)Instructions burned: 8 (million)
% 3.64/1.18 % (1163387)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=388728299:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.64/1.18 % (1163388)Instruction limit reached!
% 3.64/1.18 % (1163388)------------------------------
% 3.64/1.18 % (1163388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.18 % (1163388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.18 % (1163388)CaDiCaL version: 2.1.3
% 3.64/1.18 % (1163388)Termination reason: Instruction limit
% 3.64/1.18 % (1163388)Termination phase: Saturation
% 3.64/1.18 % (1163388)Time elapsed: 0.038 s
% 3.64/1.18 % (1163388)Peak memory usage: 112 MB
% 3.64/1.18 % (1163388)Instructions burned: 35 (million)
% 3.64/1.18 % (1163387)Instruction limit reached!
% 3.64/1.18 % (1163387)------------------------------
% 3.64/1.18 % (1163387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.18 % (1163387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.18 % (1163387)CaDiCaL version: 2.1.3
% 3.64/1.18 % (1163387)Termination reason: Instruction limit
% 3.64/1.18 % (1163387)Termination phase: Saturation
% 3.64/1.18 % (1163387)Time elapsed: 0.047 s
% 3.64/1.18 % (1163387)Peak memory usage: 116 MB
% 3.64/1.18 % (1163387)Instructions burned: 47 (million)
% 3.64/1.18 % (1163383)First to succeed.
% 3.64/1.18 % (1163384)Also succeeded, but the first one will report.
% 3.64/1.18 % (1163383)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1163377"
% 3.64/1.18 % (1163390)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2284820522:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.64/1.18 % (1163390)Instruction limit reached!
% 3.64/1.18 % (1163390)------------------------------
% 3.64/1.18 % (1163390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.18 % (1163390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.18 % (1163390)CaDiCaL version: 2.1.3
% 3.64/1.18 % (1163390)Termination reason: Instruction limit
% 3.64/1.18 % (1163390)Termination phase: Saturation
% 3.64/1.18 % (1163390)Time elapsed: 0.008 s
% 3.64/1.18 % (1163390)Peak memory usage: 89 MB
% 3.64/1.18 % (1163390)Instructions burned: 15 (million)
% 3.64/1.18 % (1163398)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3983030541:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.64/1.18 % (1163396)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=314623521:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.64/1.18 % (1163398)Instruction limit reached!
% 3.64/1.18 % (1163398)------------------------------
% 3.64/1.18 % (1163398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.18 % (1163398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.18 % (1163398)CaDiCaL version: 2.1.3
% 3.64/1.18 % (1163398)Termination reason: Instruction limit
% 3.64/1.18 % (1163398)Termination phase: Saturation
% 3.64/1.18 % (1163398)Time elapsed: 0.009 s
% 3.64/1.18 % (1163398)Peak memory usage: 89 MB
% 3.64/1.18 % (1163398)Instructions burned: 17 (million)
% 3.64/1.18 % (1163396)Instruction limit reached!
% 3.64/1.18 % (1163396)------------------------------
% 3.64/1.18 % (1163396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.18 % (1163396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.18 % (1163396)CaDiCaL version: 2.1.3
% 3.64/1.18 % (1163396)Termination reason: Instruction limit
% 3.64/1.18 % (1163396)Termination phase: Saturation
% 3.64/1.18 % (1163396)Time elapsed: 0.016 s
% 3.64/1.18 % (1163396)Peak memory usage: 88 MB
% 3.64/1.18 % (1163396)Instructions burned: 29 (million)
% 3.64/1.18 % (1163399)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1044022491:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.64/1.18 % (1163399)Instruction limit reached!
% 3.64/1.18 % (1163399)------------------------------
% 3.64/1.18 % (1163399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.18 % (1163399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.18 % (1163399)CaDiCaL version: 2.1.3
% 3.64/1.18 % (1163399)Termination reason: Instruction limit
% 3.64/1.18 % (1163399)Termination phase: Saturation
% 3.64/1.18 % (1163399)Time elapsed: 0.013 s
% 3.64/1.18 % (1163399)Peak memory usage: 89 MB
% 3.64/1.18 % (1163399)Instructions burned: 25 (million)
% 3.64/1.18 % (1163400)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=1712536006:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.64/1.18 % (1163400)Instruction limit reached!
% 3.64/1.18 % (1163400)------------------------------
% 3.64/1.18 % (1163400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.18 % (1163400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.18 % (1163400)CaDiCaL version: 2.1.3
% 3.64/1.18 % (1163400)Termination reason: Instruction limit
% 3.64/1.18 % (1163400)Termination phase: Saturation
% 3.64/1.18 % (1163400)Time elapsed: 0.008 s
% 3.64/1.18 % (1163400)Peak memory usage: 88 MB
% 3.64/1.18 % (1163400)Instructions burned: 30 (million)
% 3.64/1.18 % (1163402)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3910948589:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 3.64/1.18 % (1163405)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=782641723:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 3.64/1.18 % (1163405)Instruction limit reached!
% 3.64/1.18 % (1163405)------------------------------
% 3.64/1.18 % (1163405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.18 % (1163405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.18 % (1163405)CaDiCaL version: 2.1.3
% 3.64/1.18 % (1163405)Termination reason: Instruction limit
% 3.64/1.18 % (1163405)Termination phase: Property scanning
% 3.64/1.18 % (1163405)Time elapsed: 0.002 s
% 3.64/1.18 % (1163405)Peak memory usage: 85 MB
% 3.64/1.18 % (1163405)Instructions burned: 4 (million)
% 3.64/1.18 % (1163402)Also succeeded, but the first one will report.
% 3.64/1.18 % (1163406)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=983052062:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 3.64/1.18 % (1163410)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=4139006657:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 3.64/1.18 % (1163409)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2079443661:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 3.64/1.18 % (1163409)Instruction limit reached!
% 3.64/1.18 % (1163409)------------------------------
% 3.64/1.18 % (1163409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.18 % (1163409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.18 % (1163409)CaDiCaL version: 2.1.3
% 3.64/1.18 % (1163409)Termination reason: Instruction limit
% 3.64/1.18 % (1163409)Termination phase: Property scanning
% 3.64/1.18 % (1163409)Time elapsed: 0.002 s
% 3.64/1.18 % (1163409)Peak memory usage: 85 MB
% 3.64/1.18 % (1163409)Instructions burned: 4 (million)
% 3.64/1.18 % (1163383)Refutation found. Thanks to Tanya!
% 3.64/1.18 % SZS status Theorem for theBenchmark
% 3.64/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 4.34/1.38 % (1163383)------------------------------
% 4.34/1.38 % (1163383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.38 % (1163383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.38 % (1163383)CaDiCaL version: 2.1.3
% 4.34/1.38 % (1163383)Termination reason: Refutation
% 4.34/1.38 % (1163383)Time elapsed: 0.103 s
% 4.34/1.38 % (1163383)Peak memory usage: 118 MB
% 4.34/1.38 % (1163383)Instructions burned: 145 (million)
% 4.34/1.38 % (1163383)------------------------------
% 4.34/1.38 % (1163383)------------------------------
% 4.34/1.38 % (1163377)Success in time 0.538 s
% 4.34/1.38 % Vampire exiting
%------------------------------------------------------------------------------