%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW006_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 : n017.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 01:27:57 PM UTC 2026
% Result : Theorem 3.65s 1.19s
% Output : Refutation 4.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 29
% Syntax : Number of formulae : 123 ( 45 unt; 0 typ; 28 def)
% Number of atoms : 7844 (6353 equ)
% Maximal formula atoms : 942 ( 63 avg)
% Number of connectives : 11911 (4190 ~;2662 |;5032 &)
% ( 22 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 126 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 7641 (1320 atm; 0 fun;3909 num;2412 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 : 26 ( 15 usr; 24 con; 0-1 aty)
% Number of variables : 2412 (2412 !; 0 ?;2412 :)
% 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(func_def_25,type,
sF7: $int ).
tff(f1,conjecture,
( ( ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 4 )
& $less(b(X1),3) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( X0 != X3 )
& $less(X1,X0)
& ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X1 != X2 ) )
& ( z1 != z3 )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X3 )
& ( a(X3) = 1 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X2) = 5 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& ( a(X0) = 1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( a(X0) = 1 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X2 != X3 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( b(X2) = 5 )
& ( a(X1) = 10 )
& ( b(X3) = 2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 )
& ( X1 != X3 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X2 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X2) = 5 )
& ( b(X2) = 2 )
& ( a(X0) = 5 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& $less(b(X2),4)
& ( a(X2) = 7 )
& ( a(X0) = 2 )
& ( b(X3) = 5 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X1) = 2 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( X2 != X3 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X3) = 2 )
& ( X0 != X2 )
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X2),4)
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( a(X0) = 12 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( b(X2) = 2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X2) = 5 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 5 )
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ( z2 != z3 )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X1 != X3 )
& ( X2 != X3 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X3) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 6 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 6 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X2) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X0) = 1 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X2) = 5 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X2) = 4 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 6 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( X2 != X3 )
& ( a(X3) = 1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X2) = 7 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X0) = 9 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 1 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X2) = 6 )
& ( a(X0) = 1 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X3: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X3 )
& $less(b(X2),4)
& ( a(X1) = 10 )
& ( b(X3) = 5 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X2 != X3 )
& ( a(X0) = 12 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 4 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( b(X2) = 5 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X1) = 2 ) )
& ! [X0: $int] :
( $lesseq(1,a(X0))
& $lesseq(a(X0),12) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( $less(X1,X0)
& ( X1 != X2 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& $less(b(X2),4)
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X0) = 1 )
& ( b(X1) = 2 )
& ( X0 != X2 ) )
& ( z1 != z2 )
& ( z2 != z5 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X2) = 8 )
& $less(b(X2),4) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X0 != X2 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X2) = 7 )
& $less(X1,X0)
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 1 ) )
& ( z3 != z5 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X0) = 2 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( b(X3) = 5 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( a(X0) = 2 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X2 != X3 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( X0 != X2 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( b(X3) = 2 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& ( a(X0) = 5 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 12 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X2) = 2 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X0) = 8 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 3 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X2),4)
& $less(b(X0),4) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( a(X2) = 8 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 4 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( b(X3) = 5 )
& ( X0 != X3 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( X2 != X3 ) )
& $true
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X0 != X3 )
& ( X2 != X3 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X0) = 1 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X0 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& ( b(X3) = 5 )
& ( X2 != X3 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X1 != X3 ) )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( b(X3) = 5 )
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& $less(b(X0),4)
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( X1 != X3 )
& $less(b(X2),4)
& ( b(X1) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X2) = 8 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ( z4 != z5 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 7 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X0 != X2 )
& ( X1 != X3 )
& ( a(X3) = 1 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 4 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X2) = 6 )
& ( a(X1) = 10 )
& ( b(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& $less(X1,X0)
& ( b(X2) = 5 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( X0 != X1 )
& ( a(X3) = 12 )
& ( a(X0) = 5 ) )
& ( z2 != z4 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X1 != X2 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( b(X2) = 5 )
& ( a(X3) = 2 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X2 != X3 )
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( X2 != X3 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( b(X3) = 2 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& ( X0 != X1 ) )
& ! [X0: $int] :
( $lesseq(b(X0),5)
& $lesseq(1,b(X0)) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( b(X3) = 2 )
& ( a(X2) = 5 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X3) = 2 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 4 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(b(X2),4)
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( a(X0) = 3 )
& ( X1 != X3 )
& $less(b(X0),4)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X2 != X3 )
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X3) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( X2 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X2) = 8 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X2) = 8 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( b(X2) = 5 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 5 ) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( X1 != X3 )
& ( a(X1) = 10 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( b(X3) = 5 )
& ( X2 != X3 ) )
& ( z1 != z4 )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( X2 != X3 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& ( X0 != X3 ) )
& ( z3 != z4 )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X3) = 2 )
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( X0 != X3 )
& ( a(X0) = 7 )
& ( a(X2) = 4 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X2 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X3) = 2 )
& ( b(X0) = 5 )
& ( X0 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 12 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 6 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X0) = 6 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X2) = 7 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X0) = 3 )
& ( a(X2) = 8 )
& $less(b(X0),4)
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( X1 != X3 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X3 )
& ( b(X3) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( a(X0) = 5 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X2) = 6 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 7 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( a(X0) = 7 )
& ( X0 != X1 ) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( a(X0) = 7 )
& ( a(X2) = 5 )
& ( X0 != X1 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X3) = 2 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X2 != X3 )
& ( b(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 12 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X2) = 8 ) )
& ( z1 != z5 ) )
=> ~ ( ( a(z2) = 10 )
& ( a(z1) = 5 )
& ( b(z1) = 5 )
& ( b(z3) = 2 )
& ( a(z3) = 6 )
& $less(z2,z1)
& ( b(z4) = 2 )
& ( a(z4) = 5 )
& $less(b(z2),3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).
tff(f2,negated_conjecture,
~ ( ( ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 4 )
& $less(b(X1),3) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( X0 != X3 )
& $less(X1,X0)
& ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X1 != X2 ) )
& ( z1 != z3 )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X3 )
& ( a(X3) = 1 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X2) = 5 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& ( a(X0) = 1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( a(X0) = 1 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X2 != X3 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( b(X2) = 5 )
& ( a(X1) = 10 )
& ( b(X3) = 2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 )
& ( X1 != X3 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X2 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X2) = 5 )
& ( b(X2) = 2 )
& ( a(X0) = 5 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& $less(b(X2),4)
& ( a(X2) = 7 )
& ( a(X0) = 2 )
& ( b(X3) = 5 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X1) = 2 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( X2 != X3 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X3) = 2 )
& ( X0 != X2 )
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X2),4)
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( a(X0) = 12 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( b(X2) = 2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X2) = 5 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 5 )
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ( z2 != z3 )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X1 != X3 )
& ( X2 != X3 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X3) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 6 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 6 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X2) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X0) = 1 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X2) = 5 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X2) = 4 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 6 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( X2 != X3 )
& ( a(X3) = 1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X2) = 7 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X0) = 9 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 1 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X2) = 6 )
& ( a(X0) = 1 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X3: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X3 )
& $less(b(X2),4)
& ( a(X1) = 10 )
& ( b(X3) = 5 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X2 != X3 )
& ( a(X0) = 12 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 4 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( b(X2) = 5 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X1) = 2 ) )
& ! [X0: $int] :
( $lesseq(1,a(X0))
& $lesseq(a(X0),12) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( $less(X1,X0)
& ( X1 != X2 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& $less(b(X2),4)
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X0) = 1 )
& ( b(X1) = 2 )
& ( X0 != X2 ) )
& ( z1 != z2 )
& ( z2 != z5 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X2) = 8 )
& $less(b(X2),4) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X0 != X2 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X2) = 7 )
& $less(X1,X0)
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 1 ) )
& ( z3 != z5 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X0) = 2 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( b(X3) = 5 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( a(X0) = 2 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X2 != X3 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( X0 != X2 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( b(X3) = 2 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& ( a(X0) = 5 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 12 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X2) = 2 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X0) = 8 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 3 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X2),4)
& $less(b(X0),4) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( a(X2) = 8 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 4 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( b(X3) = 5 )
& ( X0 != X3 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( X2 != X3 ) )
& $true
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X0 != X3 )
& ( X2 != X3 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X0) = 1 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X0 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& ( b(X3) = 5 )
& ( X2 != X3 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X1 != X3 ) )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( b(X3) = 5 )
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& $less(b(X0),4)
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( X1 != X3 )
& $less(b(X2),4)
& ( b(X1) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X2) = 8 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ( z4 != z5 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 7 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X0 != X2 )
& ( X1 != X3 )
& ( a(X3) = 1 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 4 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X2) = 6 )
& ( a(X1) = 10 )
& ( b(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& $less(X1,X0)
& ( b(X2) = 5 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( X0 != X1 )
& ( a(X3) = 12 )
& ( a(X0) = 5 ) )
& ( z2 != z4 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X1 != X2 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( b(X2) = 5 )
& ( a(X3) = 2 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X2 != X3 )
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( X2 != X3 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( b(X3) = 2 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& ( X0 != X1 ) )
& ! [X0: $int] :
( $lesseq(b(X0),5)
& $lesseq(1,b(X0)) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( b(X3) = 2 )
& ( a(X2) = 5 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X3) = 2 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 4 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(b(X2),4)
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( a(X0) = 3 )
& ( X1 != X3 )
& $less(b(X0),4)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X2 != X3 )
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X3) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( X2 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X2) = 8 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X2) = 8 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( b(X2) = 5 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 5 ) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( X1 != X3 )
& ( a(X1) = 10 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( b(X3) = 5 )
& ( X2 != X3 ) )
& ( z1 != z4 )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( X2 != X3 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& ( X0 != X3 ) )
& ( z3 != z4 )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X3) = 2 )
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( X0 != X3 )
& ( a(X0) = 7 )
& ( a(X2) = 4 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X2 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X3) = 2 )
& ( b(X0) = 5 )
& ( X0 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 12 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 6 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X0) = 6 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X2) = 7 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X0) = 3 )
& ( a(X2) = 8 )
& $less(b(X0),4)
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( X1 != X3 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X3 )
& ( b(X3) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( a(X0) = 5 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X2) = 6 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 7 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( a(X0) = 7 )
& ( X0 != X1 ) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( a(X0) = 7 )
& ( a(X2) = 5 )
& ( X0 != X1 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X3) = 2 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X2 != X3 )
& ( b(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 12 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X2) = 8 ) )
& ( z1 != z5 ) )
=> ~ ( ( a(z2) = 10 )
& ( a(z1) = 5 )
& ( b(z1) = 5 )
& ( b(z3) = 2 )
& ( a(z3) = 6 )
& $less(z2,z1)
& ( b(z4) = 2 )
& ( a(z4) = 5 )
& $less(b(z2),3) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 4 )
& $less(b(X1),3) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( X0 != X3 )
& $less(X1,X0)
& ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X1 != X2 ) )
& ( z1 != z3 )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X3 )
& ( a(X3) = 1 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X2) = 5 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& ( a(X0) = 1 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( a(X0) = 1 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X2 != X3 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( b(X2) = 5 )
& ( a(X1) = 10 )
& ( b(X3) = 2 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 )
& ( X1 != X3 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X2 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X2) = 5 )
& ( b(X2) = 2 )
& ( a(X0) = 5 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& $less(b(X2),4)
& ( a(X2) = 7 )
& ( a(X0) = 2 )
& ( b(X3) = 5 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X1) = 2 ) )
& ! [X3: $int,X0: $int,X2: $int,X1: $int] :
~ ( ( X2 != X3 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X3) = 2 )
& ( X0 != X2 )
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X2),4)
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( a(X0) = 12 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( b(X2) = 2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X1: $int,X3: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X2) = 5 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& ( X0 != X2 )
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 5 )
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ( z2 != z3 )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X1 != X3 )
& ( X2 != X3 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X3) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 2 )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( a(X2) = 6 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 6 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X2) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X0) = 1 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X2) = 5 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X2) = 4 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 6 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( X2 != X3 )
& ( a(X3) = 1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X2) = 7 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X0) = 9 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 1 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X2) = 6 )
& ( a(X0) = 1 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X3: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X3 )
& $less(b(X2),4)
& ( a(X1) = 10 )
& ( b(X3) = 5 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X2 != X3 )
& ( a(X0) = 12 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 4 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( b(X2) = 5 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X1) = 2 ) )
& ! [X0: $int] :
( ~ $less(a(X0),1)
& ~ $less(12,a(X0)) )
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( $less(X1,X0)
& ( X1 != X2 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& $less(b(X2),4)
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X0) = 1 )
& ( b(X1) = 2 )
& ( X0 != X2 ) )
& ( z1 != z2 )
& ( z2 != z5 )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X2) = 8 )
& $less(b(X2),4) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X0) = 2 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X0 != X2 ) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X2) = 7 )
& $less(X1,X0)
& $less(b(X0),4)
& ( a(X0) = 3 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X0) = 1 ) )
& ( z3 != z5 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X0) = 2 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X1 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X2) = 8 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int,X3: $int] :
~ ( ( b(X3) = 5 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( a(X0) = 2 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X2 != X3 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( X0 != X2 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( b(X3) = 2 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& ( a(X0) = 5 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 12 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X2) = 2 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int] :
~ ( $less(X1,X0)
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X0) = 8 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 3 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X2),4)
& $less(b(X0),4) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( a(X2) = 8 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( a(X0) = 4 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( b(X3) = 5 )
& ( X0 != X3 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( X2 != X3 ) )
& $true
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X0 != X3 )
& ( X2 != X3 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( b(X3) = 5 )
& ( X1 != X3 )
& ( a(X2) = 7 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X0) = 1 ) )
& ! [X0: $int,X2: $int,X3: $int,X1: $int] :
~ ( ( X0 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& ( b(X3) = 5 )
& ( X2 != X3 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X1 != X3 ) )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( b(X3) = 5 )
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& $less(b(X0),4)
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( X1 != X3 )
& $less(b(X2),4)
& ( b(X1) = 2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& $less(X1,X0)
& $less(b(X1),3)
& ( a(X0) = 12 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X2) = 8 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( a(X2) = 6 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ( z4 != z5 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 7 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X0 != X2 )
& ( X1 != X3 )
& ( a(X3) = 1 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 4 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X2) = 6 )
& ( a(X1) = 10 )
& ( b(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( X0 != X3 )
& $less(X1,X0)
& ( b(X2) = 5 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( X0 != X1 )
& ( a(X3) = 12 )
& ( a(X0) = 5 ) )
& ( z2 != z4 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 2 )
& $less(b(X2),4)
& ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X1 != X2 ) )
& ! [X3: $int,X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( b(X2) = 5 )
& ( a(X3) = 2 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& ( X2 != X3 )
& $less(b(X1),3) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( X2 != X3 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( b(X3) = 2 )
& ( a(X0) = 5 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X3 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& ( X0 != X1 ) )
& ! [X0: $int] :
( ~ $less(5,b(X0))
& ~ $less(b(X0),1) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int,X3: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( b(X3) = 2 )
& ( a(X2) = 5 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( a(X2) = 7 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 ) )
& ! [X0: $int,X3: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X3 )
& ( X0 != X1 )
& ( X2 != X3 )
& ( a(X3) = 2 )
& ( b(X0) = 5 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 4 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( a(X2) = 8 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(b(X2),4)
& ( a(X2) = 8 )
& ( X0 != X2 )
& ( X0 != X3 )
& $less(b(X1),3)
& ( a(X0) = 3 )
& ( X1 != X3 )
& $less(b(X0),4)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X2 != X3 )
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X3) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 5 )
& ( b(X0) = 5 )
& ( X2 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X0) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( a(X2) = 8 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X2) = 8 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( b(X2) = 5 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X0) = 5 ) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( X1 != X3 )
& ( a(X1) = 10 )
& $less(X1,X0)
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( b(X3) = 5 )
& ( X2 != X3 ) )
& ( z1 != z4 )
& ! [X3: $int,X0: $int,X1: $int,X2: $int] :
~ ( $less(X1,X0)
& ( X2 != X3 )
& ( X0 != X1 )
& ( b(X2) = 5 )
& ( X1 != X3 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& ( X0 != X3 ) )
& ( z3 != z4 )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X3) = 2 )
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( X1 != X3 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( X0 != X3 )
& ( X1 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& ( a(X2) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& $less(X1,X0) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( X0 != X3 )
& ( a(X0) = 7 )
& ( a(X2) = 4 )
& ( X1 != X3 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X2 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X3) = 2 )
& ( b(X0) = 5 )
& ( X0 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 12 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X0) = 6 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( X1 != X2 )
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X0) = 6 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X2) = 7 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( a(X0) = 3 )
& ( a(X2) = 8 )
& $less(b(X0),4)
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( X1 != X3 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X3 )
& ( b(X3) = 2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( a(X0) = 5 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X2) = 6 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 7 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( a(X0) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( a(X0) = 7 )
& ( X0 != X1 ) )
& ! [X2: $int,X0: $int,X1: $int,X3: $int] :
~ ( ( a(X0) = 7 )
& ( a(X2) = 5 )
& ( X0 != X1 )
& ( X0 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X3) = 2 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X2 != X3 )
& ( b(X0) = 5 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 12 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X2) = 8 ) )
& ( z1 != z5 ) )
=> ~ ( ( a(z2) = 10 )
& ( a(z1) = 5 )
& ( b(z1) = 5 )
& ( b(z3) = 2 )
& ( a(z3) = 6 )
& $less(z2,z1)
& ( b(z4) = 2 )
& ( a(z4) = 5 )
& $less(b(z2),3) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f4,plain,
~ ( ( ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( b(X0) = 2 )
& $less(X1,X2)
& ( a(X2) = 4 )
& $less(b(X1),3)
& ( 5 = b(X2) )
& ( X1 != X2 )
& ( a(X0) = 7 ) )
& ! [X5: $int,X4: $int,X3: $int,X6: $int] :
~ ( $less(b(X6),3)
& ( 10 = a(X6) )
& ( X4 != X6 )
& ( 5 = a(X3) )
& $less(X6,X3)
& ( X3 != X6 )
& ( X5 != X6 )
& ( X3 != X4 )
& ( X4 != X5 )
& ( X3 != X5 )
& ( 2 = b(X5) )
& ( 8 = a(X4) ) )
& ( z1 != z3 )
& ! [X7: $int,X10: $int,X9: $int,X8: $int] :
~ ( ( 5 = b(X8) )
& ( X9 != X10 )
& ( X8 != X10 )
& $less(b(X9),3)
& ( 1 = a(X7) )
& ( 5 = a(X10) )
& ( X7 != X8 )
& ( X7 != X9 )
& ( 10 = a(X9) )
& ( X7 != X10 )
& ( X8 != X9 )
& $less(X9,X10) )
& ! [X13: $int,X12: $int,X11: $int] :
~ ( ( X11 != X12 )
& $less(b(X11),3)
& ( 2 = b(X12) )
& ( X12 != X13 )
& ( 10 = a(X11) )
& ( 8 = a(X12) )
& ( X11 != X13 )
& $less(X11,X13)
& ( 1 = a(X13) ) )
& ! [X15: $int,X14: $int,X16: $int] :
~ ( ( X14 != X16 )
& ( 5 = b(X14) )
& $less(b(X15),3)
& ( 1 = a(X14) )
& ( 7 = a(X16) )
& ( 10 = a(X15) )
& ( X15 != X16 )
& $less(X15,X14)
& ( 2 = b(X16) )
& ( X14 != X15 ) )
& ! [X17: $int,X20: $int,X18: $int,X19: $int] :
~ ( ( X17 != X18 )
& $less(b(X17),3)
& ( X19 != X20 )
& ( X18 != X20 )
& $less(X17,X18)
& ( 10 = a(X17) )
& ( 4 = a(X18) )
& ( X17 != X20 )
& ( X17 != X19 )
& ( 2 = b(X20) )
& ( X18 != X19 )
& ( 5 = b(X19) ) )
& ! [X21: $int,X24: $int,X23: $int,X22: $int] :
~ ( ( 5 = b(X23) )
& ( 10 = a(X22) )
& ( X22 != X24 )
& ( X23 != X24 )
& ( 5 = a(X23) )
& ( 2 = b(X24) )
& ( X22 != X23 )
& ( 2 = b(X21) )
& ( X21 != X24 )
& ( X21 != X23 )
& ( 5 = a(X21) )
& $less(X22,X23)
& ( X21 != X22 )
& $less(b(X22),3) )
& ! [X27: $int,X26: $int,X28: $int,X25: $int] :
~ ( ( X25 != X26 )
& $less(b(X27),4)
& ( X26 != X27 )
& ( X25 != X28 )
& ( X25 != X27 )
& ( X27 != X28 )
& $less(X25,X26)
& ( 2 = a(X26) )
& ( 2 = b(X25) )
& ( 7 = a(X27) )
& ( X26 != X28 )
& ( 10 = a(X25) )
& ( 5 = b(X28) ) )
& ! [X32: $int,X31: $int,X29: $int,X30: $int] :
~ ( ( X29 != X32 )
& ( 2 = a(X29) )
& ( 4 = a(X30) )
& ( X30 != X31 )
& ( 10 = a(X32) )
& ( X29 != X31 )
& ( X29 != X30 )
& $less(b(X32),3)
& ( X31 != X32 )
& $less(X32,X30)
& ( X30 != X32 )
& ( 8 = a(X31) ) )
& ! [X33: $int,X35: $int,X34: $int] :
~ ( ( 5 = b(X35) )
& ( X34 != X35 )
& ( 7 = a(X33) )
& ( 2 = b(X34) )
& $less(X34,X35)
& ( X33 != X34 )
& ( 12 = a(X35) )
& ( 10 = a(X34) )
& $less(b(X33),4)
& ( X33 != X35 ) )
& ! [X36: $int,X37: $int,X38: $int] :
~ ( ( X37 != X38 )
& ( X36 != X38 )
& ( 6 = a(X38) )
& $less(X36,X38)
& ( 5 = a(X37) )
& ( 5 = b(X38) )
& ( 10 = a(X36) )
& ( 2 = b(X36) )
& ( X36 != X37 ) )
& ! [X39: $int,X41: $int,X40: $int] :
~ ( ( X39 != X40 )
& ( 2 = b(X41) )
& $less(b(X39),3)
& ( X40 != X41 )
& ( X39 != X41 )
& ( 8 = a(X41) )
& $less(X39,X40)
& ( 5 = a(X40) )
& ( 10 = a(X39) ) )
& ! [X42: $int,X44: $int,X43: $int,X45: $int] :
~ ( ( X43 != X45 )
& ( 2 = b(X43) )
& ( X44 != X45 )
& ( 5 = a(X45) )
& $less(X42,X44)
& ( X42 != X44 )
& $less(b(X42),3)
& ( X42 != X45 )
& ( 5 = b(X44) )
& ( 5 = a(X44) )
& ( X42 != X43 )
& ( X43 != X44 )
& ( 10 = a(X42) ) )
& ! [X46: $int,X48: $int,X47: $int] :
~ ( ( 10 = a(X46) )
& ( X47 != X48 )
& ( 4 = a(X48) )
& $less(X46,X48)
& ( 2 = b(X46) )
& ( X46 != X47 )
& ( X46 != X48 )
& ( 6 = a(X47) )
& ( 5 = b(X48) ) )
& ! [X50: $int,X51: $int,X49: $int] :
~ ( ( X49 != X50 )
& ( 10 = a(X50) )
& ( 2 = b(X50) )
& ( X49 != X51 )
& ( 5 = b(X51) )
& ( 5 = a(X49) )
& $less(X50,X51)
& ( 12 = a(X51) )
& ( X50 != X51 ) )
& ( z2 != z3 )
& ! [X53: $int,X55: $int,X54: $int,X52: $int] :
~ ( ( X52 != X55 )
& ( X54 != X55 )
& ( 8 = a(X54) )
& ( X52 != X53 )
& ( X52 != X54 )
& ( 5 = a(X53) )
& ( 2 = a(X55) )
& ( 10 = a(X52) )
& ( X53 != X54 )
& ( X53 != X55 )
& $less(b(X52),3)
& $less(X52,X53) )
& ! [X57: $int,X56: $int,X58: $int] :
~ ( $less(b(X57),3)
& ( 2 = a(X58) )
& ( 7 = a(X56) )
& ( X56 != X58 )
& $less(X57,X58)
& ( X56 != X57 )
& ( X57 != X58 )
& ( 2 = b(X56) )
& ( 10 = a(X57) )
& ( 5 = b(X58) ) )
& ! [X59: $int,X60: $int,X61: $int] :
~ ( ( 6 = a(X60) )
& ( 5 = b(X60) )
& ( X59 != X60 )
& ( 6 = a(X59) )
& ( 10 = a(X61) )
& ( X60 != X61 )
& ( X59 != X61 )
& $less(X61,X60)
& $less(b(X61),3) )
& ! [X63: $int,X64: $int,X62: $int] :
~ ( ( 10 = a(X62) )
& ( 2 = b(X62) )
& ( 6 = a(X64) )
& ( X62 != X64 )
& ( X63 != X64 )
& ( X62 != X63 )
& ( 5 = b(X63) )
& ( 12 = a(X63) )
& $less(X62,X63) )
& ! [X67: $int,X66: $int,X65: $int] :
~ ( ( X65 != X67 )
& $less(X67,X66)
& ( 5 = b(X66) )
& ( X65 != X66 )
& ( 1 = a(X66) )
& ( 10 = a(X67) )
& ( X66 != X67 )
& ( 5 = a(X65) )
& ( 2 = b(X67) ) )
& ! [X69: $int,X68: $int,X70: $int] :
~ ( ( 2 = b(X70) )
& $less(X70,X68)
& ( 4 = a(X68) )
& ( 10 = a(X70) )
& ( X68 != X69 )
& ( 5 = b(X69) )
& ( X69 != X70 )
& ( X68 != X70 ) )
& ! [X72: $int,X73: $int,X71: $int] :
~ ( ( 6 = a(X71) )
& $less(X72,X71)
& ( X72 != X73 )
& ( 5 = b(X71) )
& ( X71 != X73 )
& ( 4 = a(X73) )
& ( X71 != X72 )
& ( 10 = a(X72) )
& ( 2 = b(X72) ) )
& ! [X75: $int,X74: $int,X76: $int] :
~ ( ( 5 = b(X74) )
& ( 2 = b(X75) )
& $less(X75,X74)
& ( X74 != X76 )
& ( 4 = a(X74) )
& ( 5 = a(X76) )
& ( X74 != X75 )
& ( 10 = a(X75) )
& ( X75 != X76 ) )
& ! [X77: $int,X78: $int,X80: $int,X79: $int] :
~ ( ( X78 != X79 )
& ( 10 = a(X78) )
& $less(b(X78),3)
& ( 8 = a(X77) )
& ( 1 = a(X79) )
& ( X77 != X78 )
& ( X77 != X80 )
& ( 5 = a(X80) )
& ( X79 != X80 )
& ( X78 != X80 )
& $less(X78,X80)
& ( X77 != X79 ) )
& ! [X82: $int,X81: $int,X83: $int] :
~ ( ( X81 != X83 )
& ( 2 = b(X82) )
& ( 10 = a(X83) )
& ( 5 = b(X81) )
& $less(X83,X81)
& $less(b(X83),3)
& ( 7 = a(X82) )
& ( X82 != X83 )
& ( 5 = a(X81) )
& ( X81 != X82 ) )
& ! [X84: $int,X85: $int] :
~ ( ( 9 = a(X85) )
& ( X84 != X85 )
& $less(b(X84),3)
& ( 10 = a(X84) )
& $less(X84,X85) )
& ! [X88: $int,X87: $int,X86: $int] :
~ ( $less(X86,X88)
& ( X87 != X88 )
& ( X86 != X88 )
& ( 2 = b(X86) )
& ( 1 = a(X88) )
& ( X86 != X87 )
& $less(b(X87),4)
& ( 10 = a(X86) )
& ( 8 = a(X87) ) )
& ! [X91: $int,X89: $int,X90: $int] :
~ ( ( 5 = b(X89) )
& ( X89 != X91 )
& ( 1 = a(X89) )
& ( 10 = a(X90) )
& ( 6 = a(X91) )
& $less(X90,X89)
& ( 2 = b(X90) )
& ( X89 != X90 )
& ( X90 != X91 ) )
& ! [X92: $int,X93: $int,X95: $int,X94: $int] :
~ ( ( X93 != X95 )
& ( 7 = a(X94) )
& ( X92 != X94 )
& ( 10 = a(X95) )
& ( 2 = b(X95) )
& $less(X95,X92)
& ( X94 != X95 )
& ( X92 != X93 )
& ( 5 = b(X93) )
& ( X92 != X95 )
& $less(b(X94),4)
& ( 12 = a(X92) )
& ( X93 != X94 ) )
& ! [X97: $int,X96: $int,X98: $int] :
~ ( ( 4 = a(X98) )
& ( 2 = b(X96) )
& ( 10 = a(X96) )
& ( X97 != X98 )
& ( 5 = b(X98) )
& $less(X96,X98)
& ( X96 != X98 )
& ( X96 != X97 )
& ( 4 = a(X97) ) )
& ! [X100: $int,X99: $int,X101: $int] :
~ ( ( 10 = a(X101) )
& ( X99 != X100 )
& ( 2 = b(X101) )
& ( 5 = a(X100) )
& $less(X101,X100)
& ( X100 != X101 )
& ( X99 != X101 )
& ( 5 = b(X99) ) )
& ! [X102: $int] :
( ~ $less(12,a(X102))
& ~ $less(a(X102),1) )
& ! [X106: $int,X105: $int,X103: $int,X104: $int] :
~ ( ( 7 = a(X104) )
& ( X104 != X106 )
& $less(b(X104),4)
& ( X103 != X105 )
& ( 10 = a(X103) )
& ( X103 != X106 )
& ( X103 != X104 )
& ( X105 != X106 )
& ( 5 = b(X106) )
& ( 2 = b(X103) )
& ( X104 != X105 )
& $less(X103,X105)
& ( 1 = a(X105) ) )
& ( z1 != z2 )
& ( z2 != z5 )
& ! [X107: $int,X109: $int,X108: $int] :
~ ( ( X108 != X109 )
& $less(b(X108),4)
& ( X107 != X108 )
& $less(X107,X109)
& ( 8 = a(X108) )
& ( X107 != X109 )
& ( 2 = b(X107) )
& ( 10 = a(X107) )
& ( 2 = a(X109) ) )
& ! [X110: $int,X112: $int,X111: $int] :
~ ( ( 2 = a(X110) )
& ( X110 != X111 )
& ( 5 = b(X110) )
& $less(X111,X110)
& ( 2 = b(X111) )
& ( X111 != X112 )
& ( 10 = a(X111) )
& ( 4 = a(X112) )
& ( X110 != X112 ) )
& ! [X115: $int,X116: $int,X114: $int,X113: $int] :
~ ( ( 2 = b(X114) )
& ( 10 = a(X115) )
& $less(b(X115),3)
& $less(X115,X116)
& ( X115 != X116 )
& ( 7 = a(X114) )
& $less(b(X116),4)
& ( X114 != X116 )
& ( X114 != X115 )
& ( X113 != X114 )
& ( 5 = b(X113) )
& ( X113 != X116 )
& ( 3 = a(X116) )
& ( X113 != X115 ) )
& ! [X119: $int,X117: $int,X118: $int] :
~ ( $less(b(X117),4)
& ( 5 = b(X119) )
& ( 10 = a(X118) )
& ( X118 != X119 )
& ( 1 = a(X119) )
& ( 7 = a(X117) )
& $less(X118,X119)
& ( 2 = b(X118) )
& ( X117 != X119 )
& ( X117 != X118 ) )
& ( z3 != z5 )
& ! [X121: $int,X122: $int,X120: $int] :
~ ( $less(X121,X120)
& ( 6 = a(X122) )
& ( X120 != X121 )
& ( 2 = b(X121) )
& ( X120 != X122 )
& ( 10 = a(X121) )
& ( 2 = a(X120) )
& ( X121 != X122 )
& ( 5 = b(X120) ) )
& ! [X125: $int,X124: $int,X123: $int] :
~ ( ( 10 = a(X124) )
& ( 6 = a(X123) )
& $less(b(X124),3)
& ( 8 = a(X125) )
& ( X123 != X124 )
& $less(X124,X123)
& ( X124 != X125 )
& ( X123 != X125 ) )
& ! [X129: $int,X126: $int,X127: $int,X128: $int] :
~ ( ( 5 = b(X129) )
& ( X127 != X128 )
& ( 10 = a(X127) )
& ( X126 != X129 )
& ( X128 != X129 )
& $less(X127,X128)
& ( X126 != X127 )
& ( X126 != X128 )
& ( X127 != X129 )
& $less(b(X127),3)
& ( 2 = a(X128) )
& ( 2 = b(X126) )
& ( 7 = a(X126) ) )
& ! [X131: $int,X133: $int,X132: $int,X130: $int] :
~ ( $less(X132,X130)
& ( X131 != X133 )
& ( 2 = b(X131) )
& ( X130 != X132 )
& ( X131 != X132 )
& ( 10 = a(X132) )
& ( 6 = a(X133) )
& ( 5 = a(X130) )
& ( 5 = b(X130) )
& $less(b(X132),3)
& ( X132 != X133 )
& ( X130 != X133 )
& ( X130 != X131 ) )
& ! [X134: $int,X136: $int,X135: $int] :
~ ( ( 2 = b(X135) )
& ( 5 = b(X134) )
& ( X134 != X136 )
& ( X134 != X135 )
& ( X135 != X136 )
& $less(X135,X134)
& ( 5 = a(X134) )
& ( 4 = a(X136) )
& ( 10 = a(X135) ) )
& ! [X137: $int,X138: $int,X139: $int] :
~ ( ( 4 = a(X139) )
& ( X137 != X138 )
& ( 12 = a(X137) )
& ( 2 = b(X138) )
& ( 10 = a(X138) )
& ( X138 != X139 )
& $less(X138,X137)
& ( X137 != X139 )
& ( 5 = b(X137) ) )
& ! [X141: $int,X140: $int,X142: $int] :
~ ( ( X140 != X141 )
& ( 2 = a(X140) )
& ( 2 = b(X141) )
& ( 10 = a(X142) )
& ( X140 != X142 )
& ( X141 != X142 )
& $less(X142,X140)
& $less(b(X142),3)
& ( 8 = a(X141) ) )
& ! [X144: $int,X143: $int] :
~ ( ( 8 = a(X144) )
& $less(b(X143),3)
& ( 10 = a(X143) )
& $less(X143,X144)
& ( X143 != X144 ) )
& ! [X145: $int,X146: $int,X147: $int] :
~ ( ( X145 != X146 )
& ( X145 != X147 )
& ( X146 != X147 )
& ( 2 = b(X145) )
& $less(X145,X147)
& ( 8 = a(X146) )
& ( 10 = a(X145) )
& ( 3 = a(X147) )
& $less(b(X146),4)
& $less(b(X147),4) )
& ! [X151: $int,X148: $int,X150: $int,X149: $int] :
~ ( $less(X150,X148)
& ( X148 != X151 )
& ( X150 != X151 )
& ( X148 != X149 )
& ( X149 != X150 )
& ( X148 != X150 )
& ( 8 = a(X149) )
& ( 2 = b(X151) )
& ( 10 = a(X150) )
& ( X149 != X151 )
& $less(b(X150),3)
& ( 4 = a(X148) ) )
& ! [X153: $int,X154: $int,X152: $int,X155: $int] :
~ ( ( X154 != X155 )
& ( 2 = b(X155) )
& ( X153 != X154 )
& ( X152 != X155 )
& $less(X154,X152)
& ( X153 != X155 )
& $less(b(X154),3)
& ( 12 = a(X152) )
& ( X152 != X153 )
& ( 5 = b(X153) )
& ( 10 = a(X154) )
& ( X152 != X154 )
& ( 7 = a(X155) ) )
& $true
& ! [X157: $int,X158: $int,X159: $int,X156: $int] :
~ ( ( X157 != X159 )
& ( X156 != X159 )
& ( 7 = a(X159) )
& ( X158 != X159 )
& ( 10 = a(X158) )
& ( 1 = a(X157) )
& ( 2 = b(X159) )
& $less(b(X158),3)
& $less(X158,X157)
& ( X156 != X157 )
& ( 5 = b(X156) )
& ( X157 != X158 )
& ( X156 != X158 ) )
& ! [X161: $int,X162: $int,X160: $int,X163: $int] :
~ ( ( X160 != X163 )
& ( 5 = b(X162) )
& ( X161 != X163 )
& ( X162 != X163 )
& ( X161 != X162 )
& ( 5 = a(X160) )
& ( X160 != X161 )
& ( X160 != X162 )
& ( 7 = a(X161) )
& $less(b(X163),3)
& ( 2 = a(X162) )
& ( 10 = a(X163) )
& $less(X163,X160) )
& ! [X165: $int,X166: $int,X167: $int,X164: $int] :
~ ( ( 3 = a(X165) )
& ( 5 = b(X164) )
& ( X164 != X165 )
& ( 10 = a(X166) )
& ( X165 != X167 )
& ( X166 != X167 )
& $less(X166,X165)
& $less(b(X167),4)
& ( X164 != X166 )
& ( 7 = a(X167) )
& ( 2 = b(X166) )
& ( X165 != X166 )
& $less(b(X165),4)
& ( X164 != X167 ) )
& ! [X168: $int,X169: $int,X170: $int] :
~ ( $less(b(X170),3)
& ( 12 = a(X169) )
& ( X168 != X169 )
& ( X169 != X170 )
& ( 8 = a(X168) )
& ( 2 = b(X168) )
& $less(X170,X169)
& ( X168 != X170 )
& ( 10 = a(X170) ) )
& ! [X173: $int,X172: $int,X171: $int] :
~ ( ( 5 = a(X172) )
& ( 10 = a(X171) )
& $less(X171,X172)
& ( X171 != X173 )
& ( 6 = a(X173) )
& ( 2 = b(X173) )
& ( X171 != X172 )
& $less(b(X171),3)
& ( X172 != X173 )
& ( 5 = b(X172) ) )
& ! [X176: $int,X174: $int,X175: $int] :
~ ( ( 2 = b(X174) )
& ( X174 != X175 )
& ( X175 != X176 )
& $less(X174,X175)
& ( 4 = a(X175) )
& ( 10 = a(X174) )
& ( X174 != X176 )
& ( 8 = a(X176) ) )
& ( z4 != z5 )
& ! [X177: $int,X178: $int,X179: $int] :
~ ( ( X178 != X179 )
& ( 4 = a(X179) )
& ( 10 = a(X178) )
& ( X177 != X178 )
& ( 2 = b(X178) )
& ( X177 != X179 )
& ( 5 = b(X177) )
& $less(X178,X177)
& ( 7 = a(X177) ) )
& ! [X182: $int,X181: $int,X180: $int,X183: $int] :
~ ( $less(b(X181),3)
& ( 5 = b(X183) )
& ( X181 != X183 )
& ( 1 = a(X180) )
& ( X181 != X182 )
& ( X182 != X183 )
& ( X180 != X183 )
& ( 4 = a(X182) )
& ( X180 != X181 )
& $less(X181,X182)
& ( X180 != X182 )
& ( 10 = a(X181) ) )
& ! [X186: $int,X184: $int,X185: $int] :
~ ( ( X184 != X185 )
& ( X184 != X186 )
& ( 5 = b(X184) )
& ( 1 = a(X184) )
& ( 10 = a(X186) )
& ( 4 = a(X185) )
& ( 2 = b(X186) )
& ( X185 != X186 )
& $less(X186,X184) )
& ! [X188: $int,X187: $int,X189: $int] :
~ ( ( X187 != X188 )
& ( 10 = a(X188) )
& ( 2 = b(X188) )
& ( 6 = a(X189) )
& ( X187 != X189 )
& ( 5 = a(X187) )
& $less(X188,X187)
& ( X188 != X189 )
& ( 5 = b(X187) ) )
& ! [X191: $int,X193: $int,X192: $int,X190: $int] :
~ ( ( 12 = a(X193) )
& $less(X192,X190)
& ( X190 != X193 )
& ( X190 != X192 )
& $less(b(X192),3)
& ( X191 != X193 )
& ( X190 != X191 )
& ( 5 = a(X190) )
& ( X192 != X193 )
& ( 10 = a(X192) )
& ( 5 = b(X191) )
& ( X191 != X192 ) )
& ( z2 != z4 )
& ! [X195: $int,X194: $int,X196: $int] :
~ ( ( 2 = b(X195) )
& $less(b(X194),4)
& ( X194 != X196 )
& ( X195 != X196 )
& ( 7 = a(X194) )
& ( 5 = b(X196) )
& ( 2 = a(X196) )
& ( 10 = a(X195) )
& $less(X195,X196)
& ( X194 != X195 ) )
& ! [X198: $int,X200: $int,X197: $int,X199: $int] :
~ ( ( X197 != X198 )
& ( X198 != X199 )
& ( 5 = a(X200) )
& $less(b(X198),3)
& ( X197 != X200 )
& ( 5 = b(X199) )
& ( 2 = a(X197) )
& ( 10 = a(X198) )
& ( X199 != X200 )
& $less(X198,X200)
& ( X198 != X200 )
& ( X197 != X199 ) )
& ! [X203: $int,X201: $int,X204: $int,X202: $int] :
~ ( ( 10 = a(X203) )
& ( X201 != X202 )
& ( X203 != X204 )
& ( X202 != X203 )
& ( 2 = b(X204) )
& ( X201 != X204 )
& ( 5 = a(X202) )
& ( X201 != X203 )
& ( X202 != X204 )
& ( 5 = b(X201) )
& $less(b(X203),3)
& $less(X203,X202) )
& ! [X205: $int] :
( ~ $less(b(X205),1)
& ~ $less(5,b(X205)) )
& ! [X207: $int,X206: $int,X208: $int] :
~ ( $less(X208,X206)
& ( X207 != X208 )
& ( 5 = b(X206) )
& ( 5 = a(X206) )
& ( 7 = a(X207) )
& ( 10 = a(X208) )
& ( 2 = b(X208) )
& ( X206 != X208 )
& ( X206 != X207 ) )
& ! [X209: $int,X210: $int,X211: $int,X212: $int] :
~ ( ( X209 != X210 )
& ( X210 != X211 )
& ( X209 != X211 )
& ( 10 = a(X209) )
& ( 5 = a(X211) )
& ( X209 != X212 )
& ( 6 = a(X210) )
& ( 2 = b(X212) )
& ( X210 != X212 )
& ( X211 != X212 )
& $less(b(X209),3)
& ( 5 = b(X210) )
& $less(X209,X210) )
& ! [X214: $int,X215: $int,X216: $int,X213: $int] :
~ ( ( 4 = a(X213) )
& $less(X214,X213)
& ( X214 != X216 )
& ( 5 = b(X213) )
& ( 2 = b(X216) )
& ( X215 != X216 )
& ( 7 = a(X215) )
& ( 10 = a(X214) )
& $less(b(X214),3)
& ( X213 != X216 )
& ( X214 != X215 )
& ( X213 != X215 )
& ( X213 != X214 ) )
& ! [X218: $int,X219: $int,X220: $int,X217: $int] :
~ ( ( X218 != X219 )
& ( X217 != X218 )
& $less(b(X219),3)
& ( X217 != X219 )
& $less(X219,X217)
& ( X219 != X220 )
& ( 10 = a(X219) )
& ( 6 = a(X220) )
& ( 2 = a(X218) )
& ( X218 != X220 )
& ( X217 != X220 )
& ( 5 = a(X217) )
& ( 5 = b(X217) ) )
& ! [X223: $int,X222: $int,X221: $int] :
~ ( ( X221 != X222 )
& ( 4 = a(X223) )
& ( X222 != X223 )
& ( 8 = a(X222) )
& ( 10 = a(X221) )
& ( 2 = b(X222) )
& $less(X221,X223)
& ( X221 != X223 )
& $less(b(X221),3) )
& ! [X225: $int,X224: $int,X226: $int,X227: $int] :
~ ( $less(b(X224),4)
& ( X224 != X226 )
& ( X224 != X225 )
& ( 3 = a(X224) )
& ( X224 != X227 )
& ( X225 != X226 )
& ( 2 = b(X226) )
& $less(b(X225),3)
& $less(b(X227),4)
& $less(X225,X224)
& ( X225 != X227 )
& ( 10 = a(X225) )
& ( X226 != X227 )
& ( 8 = a(X227) ) )
& ! [X230: $int,X231: $int,X229: $int,X228: $int] :
~ ( ( X229 != X230 )
& ( 5 = b(X228) )
& ( 2 = a(X230) )
& ( X230 != X231 )
& ( 5 = a(X228) )
& ( 7 = a(X231) )
& ( X229 != X231 )
& ( X228 != X231 )
& ( X228 != X230 )
& ( 10 = a(X229) )
& $less(b(X229),3)
& ( X228 != X229 )
& $less(X229,X228) )
& ! [X232: $int,X234: $int,X233: $int] :
~ ( ( 5 = a(X232) )
& ( X232 != X233 )
& ( 10 = a(X234) )
& $less(X234,X232)
& ( 8 = a(X233) )
& ( X233 != X234 )
& ( X232 != X234 )
& ( 2 = b(X234) ) )
& ! [X237: $int,X236: $int,X235: $int] :
~ ( ( 10 = a(X235) )
& ( X235 != X237 )
& ( X235 != X236 )
& ( 8 = a(X237) )
& $less(X235,X236)
& ( X236 != X237 )
& ( 7 = a(X236) )
& $less(b(X235),3) )
& ! [X239: $int,X238: $int,X240: $int] :
~ ( ( 5 = b(X240) )
& ( 10 = a(X239) )
& ( X238 != X240 )
& ( X239 != X240 )
& $less(X239,X238)
& ( X238 != X239 )
& ( 7 = a(X238) )
& $less(b(X239),3) )
& ! [X242: $int,X243: $int,X241: $int] :
~ ( ( X242 != X243 )
& ( 5 = a(X242) )
& ( X241 != X242 )
& ( 5 = a(X243) )
& ( 10 = a(X241) )
& ( X241 != X243 )
& $less(X241,X243)
& ( 2 = b(X241) )
& ( 5 = b(X243) ) )
& ! [X244: $int,X245: $int,X246: $int,X247: $int] :
~ ( ( 2 = b(X244) )
& ( X244 != X246 )
& ( X245 != X246 )
& $less(X245,X247)
& ( X244 != X245 )
& ( X244 != X247 )
& ( X245 != X247 )
& ( 7 = a(X244) )
& ( 10 = a(X245) )
& ( 4 = a(X247) )
& ( 5 = b(X246) )
& ( X246 != X247 )
& $less(b(X245),3) )
& ( z1 != z4 )
& ! [X250: $int,X249: $int,X251: $int,X248: $int] :
~ ( ( X248 != X251 )
& ( X249 != X250 )
& ( 10 = a(X250) )
& ( X250 != X251 )
& $less(X250,X249)
& ( 2 = a(X248) )
& $less(b(X250),3)
& ( 4 = a(X249) )
& ( X248 != X249 )
& ( X249 != X251 )
& ( 5 = b(X251) )
& ( X248 != X250 ) )
& ( z3 != z4 )
& ! [X253: $int,X252: $int,X255: $int,X254: $int] :
~ ( ( X253 != X254 )
& ( 7 = a(X253) )
& ( 5 = a(X252) )
& $less(X254,X253)
& ( X253 != X255 )
& ( 2 = a(X255) )
& ( X252 != X253 )
& ( 5 = b(X253) )
& ( X252 != X254 )
& ( X254 != X255 )
& ( 10 = a(X254) )
& $less(b(X254),3)
& ( X252 != X255 ) )
& ! [X258: $int,X257: $int,X256: $int] :
~ ( ( X256 != X258 )
& ( 7 = a(X258) )
& ( X256 != X257 )
& ( 5 = a(X256) )
& ( X257 != X258 )
& $less(X257,X258)
& ( 5 = b(X258) )
& ( 10 = a(X257) )
& ( 2 = b(X257) ) )
& ! [X259: $int,X260: $int,X261: $int] :
~ ( ( 4 = a(X260) )
& ( X259 != X260 )
& ( 5 = b(X260) )
& ( 2 = b(X259) )
& ( 7 = a(X261) )
& ( X259 != X261 )
& ( 10 = a(X259) )
& ( X260 != X261 )
& $less(X259,X260) )
& ! [X263: $int,X264: $int,X262: $int,X265: $int] :
~ ( ( X262 != X264 )
& ( X262 != X265 )
& $less(b(X265),3)
& ( 7 = a(X264) )
& ( 4 = a(X262) )
& ( 5 = b(X264) )
& ( 2 = b(X263) )
& $less(X265,X264)
& ( 10 = a(X265) )
& ( X262 != X263 )
& ( X263 != X264 )
& ( X263 != X265 )
& ( X264 != X265 ) )
& ! [X266: $int,X267: $int,X268: $int] :
~ ( ( 5 = b(X268) )
& ( X266 != X268 )
& $less(b(X266),3)
& ( X267 != X268 )
& ( 12 = a(X268) )
& ( 7 = a(X267) )
& $less(X266,X268)
& ( 10 = a(X266) )
& ( X266 != X267 )
& ( 2 = b(X267) ) )
& ! [X269: $int,X271: $int,X270: $int] :
~ ( ( 5 = a(X269) )
& ( X269 != X270 )
& ( 2 = b(X271) )
& $less(X271,X270)
& ( 5 = b(X270) )
& ( 10 = a(X271) )
& ( X270 != X271 )
& ( 2 = a(X270) )
& ( X269 != X271 ) )
& ! [X272: $int,X274: $int,X273: $int] :
~ ( ( X272 != X273 )
& $less(X272,X274)
& ( 5 = b(X273) )
& ( 6 = a(X274) )
& ( X273 != X274 )
& $less(b(X272),3)
& ( X272 != X274 )
& ( 10 = a(X272) ) )
& ! [X275: $int,X276: $int,X277: $int] :
~ ( ( 5 = b(X277) )
& $less(b(X276),3)
& ( X275 != X276 )
& ( X275 != X277 )
& $less(X276,X277)
& ( 7 = a(X275) )
& ( X276 != X277 )
& ( 10 = a(X276) )
& ( 6 = a(X277) ) )
& ! [X278: $int,X280: $int,X279: $int] :
~ ( ( 10 = a(X279) )
& ( X279 != X280 )
& $less(b(X279),3)
& ( X278 != X279 )
& ( 8 = a(X280) )
& ( X278 != X280 )
& $less(X279,X278)
& ( 2 = b(X280) )
& ( 3 = a(X278) )
& $less(b(X278),4) )
& ! [X282: $int,X284: $int,X283: $int,X281: $int] :
~ ( ( X282 != X284 )
& ( 5 = a(X282) )
& ( X281 != X282 )
& ( 2 = b(X283) )
& ( X282 != X283 )
& ( X281 != X283 )
& ( 10 = a(X281) )
& ( X281 != X284 )
& $less(X281,X282)
& ( 7 = a(X284) )
& ( X283 != X284 )
& $less(b(X281),3)
& ( 5 = b(X282) ) )
& ! [X287: $int,X285: $int,X286: $int] :
~ ( ( X285 != X286 )
& ( X286 != X287 )
& ( 10 = a(X285) )
& ( 5 = b(X286) )
& $less(b(X285),3)
& ( 6 = a(X287) )
& $less(X285,X286)
& ( 7 = a(X286) )
& ( X285 != X287 ) )
& ! [X289: $int,X288: $int] :
~ ( ( 10 = a(X289) )
& ( X288 != X289 )
& ( 10 = a(X288) ) )
& ! [X292: $int,X291: $int,X290: $int] :
~ ( ( 10 = a(X291) )
& ( X291 != X292 )
& $less(b(X291),3)
& ( 7 = a(X290) )
& ( X290 != X292 )
& ( 5 = b(X290) )
& ( 7 = a(X292) )
& ( X290 != X291 )
& $less(X291,X290) )
& ! [X296: $int,X293: $int,X294: $int,X295: $int] :
~ ( ( 2 = b(X296) )
& $less(X295,X294)
& ( 5 = a(X293) )
& ( 7 = a(X294) )
& ( X293 != X295 )
& ( X294 != X296 )
& ( X295 != X296 )
& $less(b(X295),3)
& ( 5 = b(X294) )
& ( 10 = a(X295) )
& ( X294 != X295 )
& ( X293 != X296 )
& ( X293 != X294 ) )
& ! [X297: $int,X299: $int,X298: $int] :
~ ( ( X297 != X298 )
& ( 8 = a(X298) )
& ( X298 != X299 )
& ( X297 != X299 )
& ( 12 = a(X297) )
& ( 2 = b(X299) )
& $less(b(X298),4)
& $less(X299,X297)
& ( 10 = a(X299) ) )
& ( z1 != z5 ) )
=> ~ ( ( a(z2) = 10 )
& ( a(z1) = 5 )
& ( b(z1) = 5 )
& ( b(z3) = 2 )
& ( a(z3) = 6 )
& $less(z2,z1)
& ( b(z4) = 2 )
& ( a(z4) = 5 )
& $less(b(z2),3) ) ),
inference(rectify,[],[f3]) ).
tff(f5,plain,
~ ( ( ! [X69: $int,X68: $int,X70: $int] :
~ ( ( 2 = b(X70) )
& $less(X70,X68)
& ( 4 = a(X68) )
& ( 10 = a(X70) )
& ( X68 != X69 )
& ( 5 = b(X69) )
& ( X69 != X70 )
& ( X68 != X70 ) )
& ! [X275: $int,X276: $int,X277: $int] :
~ ( ( 5 = b(X277) )
& $less(b(X276),3)
& ( X275 != X276 )
& ( X275 != X277 )
& $less(X276,X277)
& ( 7 = a(X275) )
& ( X276 != X277 )
& ( 10 = a(X276) )
& ( 6 = a(X277) ) )
& ! [X173: $int,X172: $int,X171: $int] :
~ ( ( 5 = a(X172) )
& ( 10 = a(X171) )
& $less(X171,X172)
& ( X171 != X173 )
& ( 6 = a(X173) )
& ( 2 = b(X173) )
& ( X171 != X172 )
& $less(b(X171),3)
& ( X172 != X173 )
& ( 5 = b(X172) ) )
& ! [X188: $int,X187: $int,X189: $int] :
~ ( ( X187 != X188 )
& ( 10 = a(X188) )
& ( 2 = b(X188) )
& ( 6 = a(X189) )
& ( X187 != X189 )
& ( 5 = a(X187) )
& $less(X188,X187)
& ( X188 != X189 )
& ( 5 = b(X187) ) )
& ! [X214: $int,X215: $int,X216: $int,X213: $int] :
~ ( ( 4 = a(X213) )
& $less(X214,X213)
& ( X214 != X216 )
& ( 5 = b(X213) )
& ( 2 = b(X216) )
& ( X215 != X216 )
& ( 7 = a(X215) )
& ( 10 = a(X214) )
& $less(b(X214),3)
& ( X213 != X216 )
& ( X214 != X215 )
& ( X213 != X215 )
& ( X213 != X214 ) )
& ( z1 != z5 )
& ( z2 != z5 )
& ! [X82: $int,X81: $int,X83: $int] :
~ ( ( X81 != X83 )
& ( 2 = b(X82) )
& ( 10 = a(X83) )
& ( 5 = b(X81) )
& $less(X83,X81)
& $less(b(X83),3)
& ( 7 = a(X82) )
& ( X82 != X83 )
& ( 5 = a(X81) )
& ( X81 != X82 ) )
& ! [X207: $int,X206: $int,X208: $int] :
~ ( $less(X208,X206)
& ( X207 != X208 )
& ( 5 = b(X206) )
& ( 5 = a(X206) )
& ( 7 = a(X207) )
& ( 10 = a(X208) )
& ( 2 = b(X208) )
& ( X206 != X208 )
& ( X206 != X207 ) )
& ! [X84: $int,X85: $int] :
~ ( ( 9 = a(X85) )
& ( X84 != X85 )
& $less(b(X84),3)
& ( 10 = a(X84) )
& $less(X84,X85) )
& ! [X53: $int,X55: $int,X54: $int,X52: $int] :
~ ( ( X52 != X55 )
& ( X54 != X55 )
& ( 8 = a(X54) )
& ( X52 != X53 )
& ( X52 != X54 )
& ( 5 = a(X53) )
& ( 2 = a(X55) )
& ( 10 = a(X52) )
& ( X53 != X54 )
& ( X53 != X55 )
& $less(b(X52),3)
& $less(X52,X53) )
& ! [X203: $int,X201: $int,X204: $int,X202: $int] :
~ ( ( 10 = a(X203) )
& ( X201 != X202 )
& ( X203 != X204 )
& ( X202 != X203 )
& ( 2 = b(X204) )
& ( X201 != X204 )
& ( 5 = a(X202) )
& ( X201 != X203 )
& ( X202 != X204 )
& ( 5 = b(X201) )
& $less(b(X203),3)
& $less(X203,X202) )
& ! [X75: $int,X74: $int,X76: $int] :
~ ( ( 5 = b(X74) )
& ( 2 = b(X75) )
& $less(X75,X74)
& ( X74 != X76 )
& ( 4 = a(X74) )
& ( 5 = a(X76) )
& ( X74 != X75 )
& ( 10 = a(X75) )
& ( X75 != X76 ) )
& ! [X253: $int,X252: $int,X255: $int,X254: $int] :
~ ( ( X253 != X254 )
& ( 7 = a(X253) )
& ( 5 = a(X252) )
& $less(X254,X253)
& ( X253 != X255 )
& ( 2 = a(X255) )
& ( X252 != X253 )
& ( 5 = b(X253) )
& ( X252 != X254 )
& ( X254 != X255 )
& ( 10 = a(X254) )
& $less(b(X254),3)
& ( X252 != X255 ) )
& ! [X17: $int,X20: $int,X18: $int,X19: $int] :
~ ( ( X17 != X18 )
& $less(b(X17),3)
& ( X19 != X20 )
& ( X18 != X20 )
& $less(X17,X18)
& ( 10 = a(X17) )
& ( 4 = a(X18) )
& ( X17 != X20 )
& ( X17 != X19 )
& ( 2 = b(X20) )
& ( X18 != X19 )
& ( 5 = b(X19) ) )
& ! [X151: $int,X148: $int,X150: $int,X149: $int] :
~ ( $less(X150,X148)
& ( X148 != X151 )
& ( X150 != X151 )
& ( X148 != X149 )
& ( X149 != X150 )
& ( X148 != X150 )
& ( 8 = a(X149) )
& ( 2 = b(X151) )
& ( 10 = a(X150) )
& ( X149 != X151 )
& $less(b(X150),3)
& ( 4 = a(X148) ) )
& ! [X137: $int,X138: $int,X139: $int] :
~ ( ( 4 = a(X139) )
& ( X137 != X138 )
& ( 12 = a(X137) )
& ( 2 = b(X138) )
& ( 10 = a(X138) )
& ( X138 != X139 )
& $less(X138,X137)
& ( X137 != X139 )
& ( 5 = b(X137) ) )
& ! [X296: $int,X293: $int,X294: $int,X295: $int] :
~ ( ( 2 = b(X296) )
& $less(X295,X294)
& ( 5 = a(X293) )
& ( 7 = a(X294) )
& ( X293 != X295 )
& ( X294 != X296 )
& ( X295 != X296 )
& $less(b(X295),3)
& ( 5 = b(X294) )
& ( 10 = a(X295) )
& ( X294 != X295 )
& ( X293 != X296 )
& ( X293 != X294 ) )
& ! [X39: $int,X41: $int,X40: $int] :
~ ( ( X39 != X40 )
& ( 2 = b(X41) )
& $less(b(X39),3)
& ( X40 != X41 )
& ( X39 != X41 )
& ( 8 = a(X41) )
& $less(X39,X40)
& ( 5 = a(X40) )
& ( 10 = a(X39) ) )
& ! [X102: $int] :
( ~ $less(12,a(X102))
& ~ $less(a(X102),1) )
& ! [X232: $int,X234: $int,X233: $int] :
~ ( ( 5 = a(X232) )
& ( X232 != X233 )
& ( 10 = a(X234) )
& $less(X234,X232)
& ( 8 = a(X233) )
& ( X233 != X234 )
& ( X232 != X234 )
& ( 2 = b(X234) ) )
& ! [X59: $int,X60: $int,X61: $int] :
~ ( ( 6 = a(X60) )
& ( 5 = b(X60) )
& ( X59 != X60 )
& ( 6 = a(X59) )
& ( 10 = a(X61) )
& ( X60 != X61 )
& ( X59 != X61 )
& $less(X61,X60)
& $less(b(X61),3) )
& ( z2 != z4 )
& ! [X242: $int,X243: $int,X241: $int] :
~ ( ( X242 != X243 )
& ( 5 = a(X242) )
& ( X241 != X242 )
& ( 5 = a(X243) )
& ( 10 = a(X241) )
& ( X241 != X243 )
& $less(X241,X243)
& ( 2 = b(X241) )
& ( 5 = b(X243) ) )
& ! [X129: $int,X126: $int,X127: $int,X128: $int] :
~ ( ( 5 = b(X129) )
& ( X127 != X128 )
& ( 10 = a(X127) )
& ( X126 != X129 )
& ( X128 != X129 )
& $less(X127,X128)
& ( X126 != X127 )
& ( X126 != X128 )
& ( X127 != X129 )
& $less(b(X127),3)
& ( 2 = a(X128) )
& ( 2 = b(X126) )
& ( 7 = a(X126) ) )
& ! [X289: $int,X288: $int] :
~ ( ( 10 = a(X289) )
& ( X288 != X289 )
& ( 10 = a(X288) ) )
& ! [X63: $int,X64: $int,X62: $int] :
~ ( ( 10 = a(X62) )
& ( 2 = b(X62) )
& ( 6 = a(X64) )
& ( X62 != X64 )
& ( X63 != X64 )
& ( X62 != X63 )
& ( 5 = b(X63) )
& ( 12 = a(X63) )
& $less(X62,X63) )
& ! [X239: $int,X238: $int,X240: $int] :
~ ( ( 5 = b(X240) )
& ( 10 = a(X239) )
& ( X238 != X240 )
& ( X239 != X240 )
& $less(X239,X238)
& ( X238 != X239 )
& ( 7 = a(X238) )
& $less(b(X239),3) )
& ( z1 != z4 )
& ( z3 != z5 )
& ! [X88: $int,X87: $int,X86: $int] :
~ ( $less(X86,X88)
& ( X87 != X88 )
& ( X86 != X88 )
& ( 2 = b(X86) )
& ( 1 = a(X88) )
& ( X86 != X87 )
& $less(b(X87),4)
& ( 10 = a(X86) )
& ( 8 = a(X87) ) )
& ! [X125: $int,X124: $int,X123: $int] :
~ ( ( 10 = a(X124) )
& ( 6 = a(X123) )
& $less(b(X124),3)
& ( 8 = a(X125) )
& ( X123 != X124 )
& $less(X124,X123)
& ( X124 != X125 )
& ( X123 != X125 ) )
& ! [X297: $int,X299: $int,X298: $int] :
~ ( ( X297 != X298 )
& ( 8 = a(X298) )
& ( X298 != X299 )
& ( X297 != X299 )
& ( 12 = a(X297) )
& ( 2 = b(X299) )
& $less(b(X298),4)
& $less(X299,X297)
& ( 10 = a(X299) ) )
& ! [X287: $int,X285: $int,X286: $int] :
~ ( ( X285 != X286 )
& ( X286 != X287 )
& ( 10 = a(X285) )
& ( 5 = b(X286) )
& $less(b(X285),3)
& ( 6 = a(X287) )
& $less(X285,X286)
& ( 7 = a(X286) )
& ( X285 != X287 ) )
& ! [X67: $int,X66: $int,X65: $int] :
~ ( ( X65 != X67 )
& $less(X67,X66)
& ( 5 = b(X66) )
& ( X65 != X66 )
& ( 1 = a(X66) )
& ( 10 = a(X67) )
& ( X66 != X67 )
& ( 5 = a(X65) )
& ( 2 = b(X67) ) )
& ! [X144: $int,X143: $int] :
~ ( ( 8 = a(X144) )
& $less(b(X143),3)
& ( 10 = a(X143) )
& $less(X143,X144)
& ( X143 != X144 ) )
& ! [X250: $int,X249: $int,X251: $int,X248: $int] :
~ ( ( X248 != X251 )
& ( X249 != X250 )
& ( 10 = a(X250) )
& ( X250 != X251 )
& $less(X250,X249)
& ( 2 = a(X248) )
& $less(b(X250),3)
& ( 4 = a(X249) )
& ( X248 != X249 )
& ( X249 != X251 )
& ( 5 = b(X251) )
& ( X248 != X250 ) )
& ! [X50: $int,X51: $int,X49: $int] :
~ ( ( X49 != X50 )
& ( 10 = a(X50) )
& ( 2 = b(X50) )
& ( X49 != X51 )
& ( 5 = b(X51) )
& ( 5 = a(X49) )
& $less(X50,X51)
& ( 12 = a(X51) )
& ( X50 != X51 ) )
& ! [X176: $int,X174: $int,X175: $int] :
~ ( ( 2 = b(X174) )
& ( X174 != X175 )
& ( X175 != X176 )
& $less(X174,X175)
& ( 4 = a(X175) )
& ( 10 = a(X174) )
& ( X174 != X176 )
& ( 8 = a(X176) ) )
& ! [X266: $int,X267: $int,X268: $int] :
~ ( ( 5 = b(X268) )
& ( X266 != X268 )
& $less(b(X266),3)
& ( X267 != X268 )
& ( 12 = a(X268) )
& ( 7 = a(X267) )
& $less(X266,X268)
& ( 10 = a(X266) )
& ( X266 != X267 )
& ( 2 = b(X267) ) )
& ! [X36: $int,X37: $int,X38: $int] :
~ ( ( X37 != X38 )
& ( X36 != X38 )
& ( 6 = a(X38) )
& $less(X36,X38)
& ( 5 = a(X37) )
& ( 5 = b(X38) )
& ( 10 = a(X36) )
& ( 2 = b(X36) )
& ( X36 != X37 ) )
& ! [X7: $int,X10: $int,X9: $int,X8: $int] :
~ ( ( 5 = b(X8) )
& ( X9 != X10 )
& ( X8 != X10 )
& $less(b(X9),3)
& ( 1 = a(X7) )
& ( 5 = a(X10) )
& ( X7 != X8 )
& ( X7 != X9 )
& ( 10 = a(X9) )
& ( X7 != X10 )
& ( X8 != X9 )
& $less(X9,X10) )
& ! [X223: $int,X222: $int,X221: $int] :
~ ( ( X221 != X222 )
& ( 4 = a(X223) )
& ( X222 != X223 )
& ( 8 = a(X222) )
& ( 10 = a(X221) )
& ( 2 = b(X222) )
& $less(X221,X223)
& ( X221 != X223 )
& $less(b(X221),3) )
& ! [X209: $int,X210: $int,X211: $int,X212: $int] :
~ ( ( X209 != X210 )
& ( X210 != X211 )
& ( X209 != X211 )
& ( 10 = a(X209) )
& ( 5 = a(X211) )
& ( X209 != X212 )
& ( 6 = a(X210) )
& ( 2 = b(X212) )
& ( X210 != X212 )
& ( X211 != X212 )
& $less(b(X209),3)
& ( 5 = b(X210) )
& $less(X209,X210) )
& ! [X186: $int,X184: $int,X185: $int] :
~ ( ( X184 != X185 )
& ( X184 != X186 )
& ( 5 = b(X184) )
& ( 1 = a(X184) )
& ( 10 = a(X186) )
& ( 4 = a(X185) )
& ( 2 = b(X186) )
& ( X185 != X186 )
& $less(X186,X184) )
& ! [X218: $int,X219: $int,X220: $int,X217: $int] :
~ ( ( X218 != X219 )
& ( X217 != X218 )
& $less(b(X219),3)
& ( X217 != X219 )
& $less(X219,X217)
& ( X219 != X220 )
& ( 10 = a(X219) )
& ( 6 = a(X220) )
& ( 2 = a(X218) )
& ( X218 != X220 )
& ( X217 != X220 )
& ( 5 = a(X217) )
& ( 5 = b(X217) ) )
& ! [X278: $int,X280: $int,X279: $int] :
~ ( ( 10 = a(X279) )
& ( X279 != X280 )
& $less(b(X279),3)
& ( X278 != X279 )
& ( 8 = a(X280) )
& ( X278 != X280 )
& $less(X279,X278)
& ( 2 = b(X280) )
& ( 3 = a(X278) )
& $less(b(X278),4) )
& ! [X72: $int,X73: $int,X71: $int] :
~ ( ( 6 = a(X71) )
& $less(X72,X71)
& ( X72 != X73 )
& ( 5 = b(X71) )
& ( X71 != X73 )
& ( 4 = a(X73) )
& ( X71 != X72 )
& ( 10 = a(X72) )
& ( 2 = b(X72) ) )
& ! [X92: $int,X93: $int,X95: $int,X94: $int] :
~ ( ( X93 != X95 )
& ( 7 = a(X94) )
& ( X92 != X94 )
& ( 10 = a(X95) )
& ( 2 = b(X95) )
& $less(X95,X92)
& ( X94 != X95 )
& ( X92 != X93 )
& ( 5 = b(X93) )
& ( X92 != X95 )
& $less(b(X94),4)
& ( 12 = a(X92) )
& ( X93 != X94 ) )
& ! [X168: $int,X169: $int,X170: $int] :
~ ( $less(b(X170),3)
& ( 12 = a(X169) )
& ( X168 != X169 )
& ( X169 != X170 )
& ( 8 = a(X168) )
& ( 2 = b(X168) )
& $less(X170,X169)
& ( X168 != X170 )
& ( 10 = a(X170) ) )
& ! [X244: $int,X245: $int,X246: $int,X247: $int] :
~ ( ( 2 = b(X244) )
& ( X244 != X246 )
& ( X245 != X246 )
& $less(X245,X247)
& ( X244 != X245 )
& ( X244 != X247 )
& ( X245 != X247 )
& ( 7 = a(X244) )
& ( 10 = a(X245) )
& ( 4 = a(X247) )
& ( 5 = b(X246) )
& ( X246 != X247 )
& $less(b(X245),3) )
& ! [X259: $int,X260: $int,X261: $int] :
~ ( ( 4 = a(X260) )
& ( X259 != X260 )
& ( 5 = b(X260) )
& ( 2 = b(X259) )
& ( 7 = a(X261) )
& ( X259 != X261 )
& ( 10 = a(X259) )
& ( X260 != X261 )
& $less(X259,X260) )
& ! [X27: $int,X26: $int,X28: $int,X25: $int] :
~ ( ( X25 != X26 )
& $less(b(X27),4)
& ( X26 != X27 )
& ( X25 != X28 )
& ( X25 != X27 )
& ( X27 != X28 )
& $less(X25,X26)
& ( 2 = a(X26) )
& ( 2 = b(X25) )
& ( 7 = a(X27) )
& ( X26 != X28 )
& ( 10 = a(X25) )
& ( 5 = b(X28) ) )
& ! [X121: $int,X122: $int,X120: $int] :
~ ( $less(X121,X120)
& ( 6 = a(X122) )
& ( X120 != X121 )
& ( 2 = b(X121) )
& ( X120 != X122 )
& ( 10 = a(X121) )
& ( 2 = a(X120) )
& ( X121 != X122 )
& ( 5 = b(X120) ) )
& ! [X145: $int,X146: $int,X147: $int] :
~ ( ( X145 != X146 )
& ( X145 != X147 )
& ( X146 != X147 )
& ( 2 = b(X145) )
& $less(X145,X147)
& ( 8 = a(X146) )
& ( 10 = a(X145) )
& ( 3 = a(X147) )
& $less(b(X146),4)
& $less(b(X147),4) )
& ! [X195: $int,X194: $int,X196: $int] :
~ ( ( 2 = b(X195) )
& $less(b(X194),4)
& ( X194 != X196 )
& ( X195 != X196 )
& ( 7 = a(X194) )
& ( 5 = b(X196) )
& ( 2 = a(X196) )
& ( 10 = a(X195) )
& $less(X195,X196)
& ( X194 != X195 ) )
& ! [X21: $int,X24: $int,X23: $int,X22: $int] :
~ ( ( 5 = b(X23) )
& ( 10 = a(X22) )
& ( X22 != X24 )
& ( X23 != X24 )
& ( 5 = a(X23) )
& ( 2 = b(X24) )
& ( X22 != X23 )
& ( 2 = b(X21) )
& ( X21 != X24 )
& ( X21 != X23 )
& ( 5 = a(X21) )
& $less(X22,X23)
& ( X21 != X22 )
& $less(b(X22),3) )
& ( z4 != z5 )
& ! [X32: $int,X31: $int,X29: $int,X30: $int] :
~ ( ( X29 != X32 )
& ( 2 = a(X29) )
& ( 4 = a(X30) )
& ( X30 != X31 )
& ( 10 = a(X32) )
& ( X29 != X31 )
& ( X29 != X30 )
& $less(b(X32),3)
& ( X31 != X32 )
& $less(X32,X30)
& ( X30 != X32 )
& ( 8 = a(X31) ) )
& ! [X177: $int,X178: $int,X179: $int] :
~ ( ( X178 != X179 )
& ( 4 = a(X179) )
& ( 10 = a(X178) )
& ( X177 != X178 )
& ( 2 = b(X178) )
& ( X177 != X179 )
& ( 5 = b(X177) )
& $less(X178,X177)
& ( 7 = a(X177) ) )
& ! [X77: $int,X78: $int,X80: $int,X79: $int] :
~ ( ( X78 != X79 )
& ( 10 = a(X78) )
& $less(b(X78),3)
& ( 8 = a(X77) )
& ( 1 = a(X79) )
& ( X77 != X78 )
& ( X77 != X80 )
& ( 5 = a(X80) )
& ( X79 != X80 )
& ( X78 != X80 )
& $less(X78,X80)
& ( X77 != X79 ) )
& ! [X13: $int,X12: $int,X11: $int] :
~ ( ( X11 != X12 )
& $less(b(X11),3)
& ( 2 = b(X12) )
& ( X12 != X13 )
& ( 10 = a(X11) )
& ( 8 = a(X12) )
& ( X11 != X13 )
& $less(X11,X13)
& ( 1 = a(X13) ) )
& ! [X119: $int,X117: $int,X118: $int] :
~ ( $less(b(X117),4)
& ( 5 = b(X119) )
& ( 10 = a(X118) )
& ( X118 != X119 )
& ( 1 = a(X119) )
& ( 7 = a(X117) )
& $less(X118,X119)
& ( 2 = b(X118) )
& ( X117 != X119 )
& ( X117 != X118 ) )
& ! [X258: $int,X257: $int,X256: $int] :
~ ( ( X256 != X258 )
& ( 7 = a(X258) )
& ( X256 != X257 )
& ( 5 = a(X256) )
& ( X257 != X258 )
& $less(X257,X258)
& ( 5 = b(X258) )
& ( 10 = a(X257) )
& ( 2 = b(X257) ) )
& ( z1 != z3 )
& ! [X198: $int,X200: $int,X197: $int,X199: $int] :
~ ( ( X197 != X198 )
& ( X198 != X199 )
& ( 5 = a(X200) )
& $less(b(X198),3)
& ( X197 != X200 )
& ( 5 = b(X199) )
& ( 2 = a(X197) )
& ( 10 = a(X198) )
& ( X199 != X200 )
& $less(X198,X200)
& ( X198 != X200 )
& ( X197 != X199 ) )
& ! [X97: $int,X96: $int,X98: $int] :
~ ( ( 4 = a(X98) )
& ( 2 = b(X96) )
& ( 10 = a(X96) )
& ( X97 != X98 )
& ( 5 = b(X98) )
& $less(X96,X98)
& ( X96 != X98 )
& ( X96 != X97 )
& ( 4 = a(X97) ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& ( b(X0) = 2 )
& $less(X1,X2)
& ( a(X2) = 4 )
& $less(b(X1),3)
& ( 5 = b(X2) )
& ( X1 != X2 )
& ( a(X0) = 7 ) )
& ( z1 != z2 )
& ! [X191: $int,X193: $int,X192: $int,X190: $int] :
~ ( ( 12 = a(X193) )
& $less(X192,X190)
& ( X190 != X193 )
& ( X190 != X192 )
& $less(b(X192),3)
& ( X191 != X193 )
& ( X190 != X191 )
& ( 5 = a(X190) )
& ( X192 != X193 )
& ( 10 = a(X192) )
& ( 5 = b(X191) )
& ( X191 != X192 ) )
& ! [X100: $int,X99: $int,X101: $int] :
~ ( ( 10 = a(X101) )
& ( X99 != X100 )
& ( 2 = b(X101) )
& ( 5 = a(X100) )
& $less(X101,X100)
& ( X100 != X101 )
& ( X99 != X101 )
& ( 5 = b(X99) ) )
& ! [X157: $int,X158: $int,X159: $int,X156: $int] :
~ ( ( X157 != X159 )
& ( X156 != X159 )
& ( 7 = a(X159) )
& ( X158 != X159 )
& ( 10 = a(X158) )
& ( 1 = a(X157) )
& ( 2 = b(X159) )
& $less(b(X158),3)
& $less(X158,X157)
& ( X156 != X157 )
& ( 5 = b(X156) )
& ( X157 != X158 )
& ( X156 != X158 ) )
& ! [X292: $int,X291: $int,X290: $int] :
~ ( ( 10 = a(X291) )
& ( X291 != X292 )
& $less(b(X291),3)
& ( 7 = a(X290) )
& ( X290 != X292 )
& ( 5 = b(X290) )
& ( 7 = a(X292) )
& ( X290 != X291 )
& $less(X291,X290) )
& ! [X110: $int,X112: $int,X111: $int] :
~ ( ( 2 = a(X110) )
& ( X110 != X111 )
& ( 5 = b(X110) )
& $less(X111,X110)
& ( 2 = b(X111) )
& ( X111 != X112 )
& ( 10 = a(X111) )
& ( 4 = a(X112) )
& ( X110 != X112 ) )
& ! [X15: $int,X14: $int,X16: $int] :
~ ( ( X14 != X16 )
& ( 5 = b(X14) )
& $less(b(X15),3)
& ( 1 = a(X14) )
& ( 7 = a(X16) )
& ( 10 = a(X15) )
& ( X15 != X16 )
& $less(X15,X14)
& ( 2 = b(X16) )
& ( X14 != X15 ) )
& ! [X237: $int,X236: $int,X235: $int] :
~ ( ( 10 = a(X235) )
& ( X235 != X237 )
& ( X235 != X236 )
& ( 8 = a(X237) )
& $less(X235,X236)
& ( X236 != X237 )
& ( 7 = a(X236) )
& $less(b(X235),3) )
& ( z2 != z3 )
& ! [X205: $int] :
( ~ $less(b(X205),1)
& ~ $less(5,b(X205)) )
& ! [X131: $int,X133: $int,X132: $int,X130: $int] :
~ ( $less(X132,X130)
& ( X131 != X133 )
& ( 2 = b(X131) )
& ( X130 != X132 )
& ( X131 != X132 )
& ( 10 = a(X132) )
& ( 6 = a(X133) )
& ( 5 = a(X130) )
& ( 5 = b(X130) )
& $less(b(X132),3)
& ( X132 != X133 )
& ( X130 != X133 )
& ( X130 != X131 ) )
& ! [X153: $int,X154: $int,X152: $int,X155: $int] :
~ ( ( X154 != X155 )
& ( 2 = b(X155) )
& ( X153 != X154 )
& ( X152 != X155 )
& $less(X154,X152)
& ( X153 != X155 )
& $less(b(X154),3)
& ( 12 = a(X152) )
& ( X152 != X153 )
& ( 5 = b(X153) )
& ( 10 = a(X154) )
& ( X152 != X154 )
& ( 7 = a(X155) ) )
& ! [X5: $int,X4: $int,X3: $int,X6: $int] :
~ ( $less(b(X6),3)
& ( 10 = a(X6) )
& ( X4 != X6 )
& ( 5 = a(X3) )
& $less(X6,X3)
& ( X3 != X6 )
& ( X5 != X6 )
& ( X3 != X4 )
& ( X4 != X5 )
& ( X3 != X5 )
& ( 2 = b(X5) )
& ( 8 = a(X4) ) )
& ! [X263: $int,X264: $int,X262: $int,X265: $int] :
~ ( ( X262 != X264 )
& ( X262 != X265 )
& $less(b(X265),3)
& ( 7 = a(X264) )
& ( 4 = a(X262) )
& ( 5 = b(X264) )
& ( 2 = b(X263) )
& $less(X265,X264)
& ( 10 = a(X265) )
& ( X262 != X263 )
& ( X263 != X264 )
& ( X263 != X265 )
& ( X264 != X265 ) )
& ! [X161: $int,X162: $int,X160: $int,X163: $int] :
~ ( ( X160 != X163 )
& ( 5 = b(X162) )
& ( X161 != X163 )
& ( X162 != X163 )
& ( X161 != X162 )
& ( 5 = a(X160) )
& ( X160 != X161 )
& ( X160 != X162 )
& ( 7 = a(X161) )
& $less(b(X163),3)
& ( 2 = a(X162) )
& ( 10 = a(X163) )
& $less(X163,X160) )
& ! [X165: $int,X166: $int,X167: $int,X164: $int] :
~ ( ( 3 = a(X165) )
& ( 5 = b(X164) )
& ( X164 != X165 )
& ( 10 = a(X166) )
& ( X165 != X167 )
& ( X166 != X167 )
& $less(X166,X165)
& $less(b(X167),4)
& ( X164 != X166 )
& ( 7 = a(X167) )
& ( 2 = b(X166) )
& ( X165 != X166 )
& $less(b(X165),4)
& ( X164 != X167 ) )
& ! [X230: $int,X231: $int,X229: $int,X228: $int] :
~ ( ( X229 != X230 )
& ( 5 = b(X228) )
& ( 2 = a(X230) )
& ( X230 != X231 )
& ( 5 = a(X228) )
& ( 7 = a(X231) )
& ( X229 != X231 )
& ( X228 != X231 )
& ( X228 != X230 )
& ( 10 = a(X229) )
& $less(b(X229),3)
& ( X228 != X229 )
& $less(X229,X228) )
& ! [X282: $int,X284: $int,X283: $int,X281: $int] :
~ ( ( X282 != X284 )
& ( 5 = a(X282) )
& ( X281 != X282 )
& ( 2 = b(X283) )
& ( X282 != X283 )
& ( X281 != X283 )
& ( 10 = a(X281) )
& ( X281 != X284 )
& $less(X281,X282)
& ( 7 = a(X284) )
& ( X283 != X284 )
& $less(b(X281),3)
& ( 5 = b(X282) ) )
& ! [X42: $int,X44: $int,X43: $int,X45: $int] :
~ ( ( X43 != X45 )
& ( 2 = b(X43) )
& ( X44 != X45 )
& ( 5 = a(X45) )
& $less(X42,X44)
& ( X42 != X44 )
& $less(b(X42),3)
& ( X42 != X45 )
& ( 5 = b(X44) )
& ( 5 = a(X44) )
& ( X42 != X43 )
& ( X43 != X44 )
& ( 10 = a(X42) ) )
& ! [X269: $int,X271: $int,X270: $int] :
~ ( ( 5 = a(X269) )
& ( X269 != X270 )
& ( 2 = b(X271) )
& $less(X271,X270)
& ( 5 = b(X270) )
& ( 10 = a(X271) )
& ( X270 != X271 )
& ( 2 = a(X270) )
& ( X269 != X271 ) )
& ! [X106: $int,X105: $int,X103: $int,X104: $int] :
~ ( ( 7 = a(X104) )
& ( X104 != X106 )
& $less(b(X104),4)
& ( X103 != X105 )
& ( 10 = a(X103) )
& ( X103 != X106 )
& ( X103 != X104 )
& ( X105 != X106 )
& ( 5 = b(X106) )
& ( 2 = b(X103) )
& ( X104 != X105 )
& $less(X103,X105)
& ( 1 = a(X105) ) )
& ! [X46: $int,X48: $int,X47: $int] :
~ ( ( 10 = a(X46) )
& ( X47 != X48 )
& ( 4 = a(X48) )
& $less(X46,X48)
& ( 2 = b(X46) )
& ( X46 != X47 )
& ( X46 != X48 )
& ( 6 = a(X47) )
& ( 5 = b(X48) ) )
& ! [X57: $int,X56: $int,X58: $int] :
~ ( $less(b(X57),3)
& ( 2 = a(X58) )
& ( 7 = a(X56) )
& ( X56 != X58 )
& $less(X57,X58)
& ( X56 != X57 )
& ( X57 != X58 )
& ( 2 = b(X56) )
& ( 10 = a(X57) )
& ( 5 = b(X58) ) )
& ! [X107: $int,X109: $int,X108: $int] :
~ ( ( X108 != X109 )
& $less(b(X108),4)
& ( X107 != X108 )
& $less(X107,X109)
& ( 8 = a(X108) )
& ( X107 != X109 )
& ( 2 = b(X107) )
& ( 10 = a(X107) )
& ( 2 = a(X109) ) )
& ! [X91: $int,X89: $int,X90: $int] :
~ ( ( 5 = b(X89) )
& ( X89 != X91 )
& ( 1 = a(X89) )
& ( 10 = a(X90) )
& ( 6 = a(X91) )
& $less(X90,X89)
& ( 2 = b(X90) )
& ( X89 != X90 )
& ( X90 != X91 ) )
& ! [X272: $int,X274: $int,X273: $int] :
~ ( ( X272 != X273 )
& $less(X272,X274)
& ( 5 = b(X273) )
& ( 6 = a(X274) )
& ( X273 != X274 )
& $less(b(X272),3)
& ( X272 != X274 )
& ( 10 = a(X272) ) )
& ! [X33: $int,X35: $int,X34: $int] :
~ ( ( 5 = b(X35) )
& ( X34 != X35 )
& ( 7 = a(X33) )
& ( 2 = b(X34) )
& $less(X34,X35)
& ( X33 != X34 )
& ( 12 = a(X35) )
& ( 10 = a(X34) )
& $less(b(X33),4)
& ( X33 != X35 ) )
& ! [X115: $int,X116: $int,X114: $int,X113: $int] :
~ ( ( 2 = b(X114) )
& ( 10 = a(X115) )
& $less(b(X115),3)
& $less(X115,X116)
& ( X115 != X116 )
& ( 7 = a(X114) )
& $less(b(X116),4)
& ( X114 != X116 )
& ( X114 != X115 )
& ( X113 != X114 )
& ( 5 = b(X113) )
& ( X113 != X116 )
& ( 3 = a(X116) )
& ( X113 != X115 ) )
& ! [X225: $int,X224: $int,X226: $int,X227: $int] :
~ ( $less(b(X224),4)
& ( X224 != X226 )
& ( X224 != X225 )
& ( 3 = a(X224) )
& ( X224 != X227 )
& ( X225 != X226 )
& ( 2 = b(X226) )
& $less(b(X225),3)
& $less(b(X227),4)
& $less(X225,X224)
& ( X225 != X227 )
& ( 10 = a(X225) )
& ( X226 != X227 )
& ( 8 = a(X227) ) )
& ! [X134: $int,X136: $int,X135: $int] :
~ ( ( 2 = b(X135) )
& ( 5 = b(X134) )
& ( X134 != X136 )
& ( X134 != X135 )
& ( X135 != X136 )
& $less(X135,X134)
& ( 5 = a(X134) )
& ( 4 = a(X136) )
& ( 10 = a(X135) ) )
& ( z3 != z4 )
& ! [X182: $int,X181: $int,X180: $int,X183: $int] :
~ ( $less(b(X181),3)
& ( 5 = b(X183) )
& ( X181 != X183 )
& ( 1 = a(X180) )
& ( X181 != X182 )
& ( X182 != X183 )
& ( X180 != X183 )
& ( 4 = a(X182) )
& ( X180 != X181 )
& $less(X181,X182)
& ( X180 != X182 )
& ( 10 = a(X181) ) )
& ! [X141: $int,X140: $int,X142: $int] :
~ ( ( X140 != X141 )
& ( 2 = a(X140) )
& ( 2 = b(X141) )
& ( 10 = a(X142) )
& ( X140 != X142 )
& ( X141 != X142 )
& $less(X142,X140)
& $less(b(X142),3)
& ( 8 = a(X141) ) ) )
=> ~ ( ( a(z2) = 10 )
& ( a(z1) = 5 )
& ( b(z1) = 5 )
& ( b(z3) = 2 )
& ( a(z3) = 6 )
& $less(z2,z1)
& ( b(z4) = 2 )
& ( a(z4) = 5 )
& $less(b(z2),3) ) ),
inference(true_and_false_elimination,[],[f4]) ).
tff(f6,plain,
( ( a(z2) = 10 )
& ( a(z1) = 5 )
& ( b(z1) = 5 )
& ( b(z3) = 2 )
& ( a(z3) = 6 )
& $less(z2,z1)
& ( b(z4) = 2 )
& ( a(z4) = 5 )
& $less(b(z2),3)
& ! [X68: $int,X70: $int,X69: $int] :
( ( 2 != b(X70) )
| ( X68 = X69 )
| ( X68 = X70 )
| ( 5 != b(X69) )
| ( 10 != a(X70) )
| ( X69 = X70 )
| ~ $less(X70,X68)
| ( 4 != a(X68) ) )
& ! [X275: $int,X277: $int,X276: $int] :
( ( 10 != a(X276) )
| ( 6 != a(X277) )
| ( 7 != a(X275) )
| ( X275 = X277 )
| ( 5 != b(X277) )
| ( X275 = X276 )
| ~ $less(X276,X277)
| ~ $less(b(X276),3)
| ( X276 = X277 ) )
& ! [X172: $int,X173: $int,X171: $int] :
( ( 5 != a(X172) )
| ~ $less(X171,X172)
| ~ $less(b(X171),3)
| ( 10 != a(X171) )
| ( X171 = X173 )
| ( 2 != b(X173) )
| ( X171 = X172 )
| ( 6 != a(X173) )
| ( 5 != b(X172) )
| ( X172 = X173 ) )
& ! [X187: $int,X189: $int,X188: $int] :
( ( 5 != a(X187) )
| ( X187 = X189 )
| ( 2 != b(X188) )
| ~ $less(X188,X187)
| ( 10 != a(X188) )
| ( 6 != a(X189) )
| ( X187 = X188 )
| ( X188 = X189 )
| ( 5 != b(X187) ) )
& ! [X214: $int,X215: $int,X213: $int,X216: $int] :
( ( X213 = X216 )
| ( 10 != a(X214) )
| ( X214 = X216 )
| ( 7 != a(X215) )
| ( X214 = X215 )
| ( X213 = X215 )
| ( X213 = X214 )
| ( 5 != b(X213) )
| ~ $less(b(X214),3)
| ~ $less(X214,X213)
| ( 2 != b(X216) )
| ( 4 != a(X213) )
| ( X215 = X216 ) )
& ( z1 != z5 )
& ( z2 != z5 )
& ! [X81: $int,X82: $int,X83: $int] :
( ( 2 != b(X82) )
| ( 5 != a(X81) )
| ( X81 = X83 )
| ~ $less(b(X83),3)
| ( X81 = X82 )
| ( 10 != a(X83) )
| ( 5 != b(X81) )
| ( X82 = X83 )
| ( 7 != a(X82) )
| ~ $less(X83,X81) )
& ! [X208: $int,X207: $int,X206: $int] :
( ( X206 = X208 )
| ( X207 = X208 )
| ( 5 != b(X206) )
| ( 10 != a(X208) )
| ( 2 != b(X208) )
| ~ $less(X208,X206)
| ( X206 = X207 )
| ( 7 != a(X207) )
| ( 5 != a(X206) ) )
& ! [X84: $int,X85: $int] :
( ( 10 != a(X84) )
| ~ $less(X84,X85)
| ~ $less(b(X84),3)
| ( X84 = X85 )
| ( 9 != a(X85) ) )
& ! [X53: $int,X55: $int,X52: $int,X54: $int] :
( ( 2 != a(X55) )
| ( 10 != a(X52) )
| ( 5 != a(X53) )
| ( 8 != a(X54) )
| ( X52 = X53 )
| ( X54 = X55 )
| ~ $less(X52,X53)
| ( X52 = X55 )
| ~ $less(b(X52),3)
| ( X53 = X54 )
| ( X52 = X54 )
| ( X53 = X55 ) )
& ! [X203: $int,X204: $int,X202: $int,X201: $int] :
( ~ $less(b(X203),3)
| ( X203 = X204 )
| ( 5 != a(X202) )
| ( 5 != b(X201) )
| ( 10 != a(X203) )
| ( 2 != b(X204) )
| ( X202 = X204 )
| ( X201 = X202 )
| ~ $less(X203,X202)
| ( X201 = X204 )
| ( X202 = X203 )
| ( X201 = X203 ) )
& ! [X74: $int,X76: $int,X75: $int] :
( ( X75 = X76 )
| ( X74 = X76 )
| ( 10 != a(X75) )
| ( X74 = X75 )
| ( 4 != a(X74) )
| ( 5 != a(X76) )
| ( 5 != b(X74) )
| ~ $less(X75,X74)
| ( 2 != b(X75) ) )
& ! [X252: $int,X255: $int,X253: $int,X254: $int] :
( ( X253 = X254 )
| ( 5 != b(X253) )
| ( 7 != a(X253) )
| ( X252 = X254 )
| ( 2 != a(X255) )
| ( 10 != a(X254) )
| ( X254 = X255 )
| ( X252 = X253 )
| ( X253 = X255 )
| ~ $less(X254,X253)
| ( X252 = X255 )
| ( 5 != a(X252) )
| ~ $less(b(X254),3) )
& ! [X20: $int,X17: $int,X18: $int,X19: $int] :
( ( 4 != a(X18) )
| ( X18 = X19 )
| ( 10 != a(X17) )
| ( 2 != b(X20) )
| ( X17 = X20 )
| ( 5 != b(X19) )
| ( X19 = X20 )
| ~ $less(X17,X18)
| ( X18 = X20 )
| ~ $less(b(X17),3)
| ( X17 = X19 )
| ( X17 = X18 ) )
& ! [X149: $int,X150: $int,X151: $int,X148: $int] :
( ( X148 = X150 )
| ( X149 = X151 )
| ( 4 != a(X148) )
| ( X148 = X151 )
| ( X149 = X150 )
| ( 10 != a(X150) )
| ( 8 != a(X149) )
| ( X150 = X151 )
| ( X148 = X149 )
| ~ $less(b(X150),3)
| ~ $less(X150,X148)
| ( 2 != b(X151) ) )
& ! [X137: $int,X138: $int,X139: $int] :
( ( 5 != b(X137) )
| ( 4 != a(X139) )
| ( X137 = X139 )
| ( 12 != a(X137) )
| ( 10 != a(X138) )
| ( 2 != b(X138) )
| ( X137 = X138 )
| ( X138 = X139 )
| ~ $less(X138,X137) )
& ! [X296: $int,X295: $int,X293: $int,X294: $int] :
( ( 7 != a(X294) )
| ( 5 != b(X294) )
| ~ $less(b(X295),3)
| ( X294 = X296 )
| ( X293 = X296 )
| ( X294 = X295 )
| ( 10 != a(X295) )
| ( X295 = X296 )
| ( X293 = X294 )
| ( X293 = X295 )
| ( 5 != a(X293) )
| ~ $less(X295,X294)
| ( 2 != b(X296) ) )
& ! [X40: $int,X39: $int,X41: $int] :
( ( 10 != a(X39) )
| ( 2 != b(X41) )
| ~ $less(b(X39),3)
| ( X40 = X41 )
| ( X39 = X41 )
| ( 8 != a(X41) )
| ( X39 = X40 )
| ~ $less(X39,X40)
| ( 5 != a(X40) ) )
& ! [X102: $int] :
( ~ $less(12,a(X102))
& ~ $less(a(X102),1) )
& ! [X232: $int,X233: $int,X234: $int] :
( ( 2 != b(X234) )
| ( 8 != a(X233) )
| ( 5 != a(X232) )
| ( 10 != a(X234) )
| ( X233 = X234 )
| ( X232 = X233 )
| ( X232 = X234 )
| ~ $less(X234,X232) )
& ! [X61: $int,X60: $int,X59: $int] :
( ( 6 != a(X59) )
| ~ $less(b(X61),3)
| ( X59 = X60 )
| ( 10 != a(X61) )
| ( X59 = X61 )
| ( X60 = X61 )
| ( 5 != b(X60) )
| ~ $less(X61,X60)
| ( 6 != a(X60) ) )
& ( z2 != z4 )
& ! [X242: $int,X243: $int,X241: $int] :
( ( X241 = X242 )
| ( 2 != b(X241) )
| ( 5 != b(X243) )
| ( 5 != a(X242) )
| ~ $less(X241,X243)
| ( 10 != a(X241) )
| ( 5 != a(X243) )
| ( X242 = X243 )
| ( X241 = X243 ) )
& ! [X126: $int,X129: $int,X127: $int,X128: $int] :
( ( X128 = X129 )
| ~ $less(X127,X128)
| ( 2 != b(X126) )
| ( X127 = X129 )
| ( 7 != a(X126) )
| ( X127 = X128 )
| ~ $less(b(X127),3)
| ( 10 != a(X127) )
| ( X126 = X128 )
| ( X126 = X129 )
| ( 2 != a(X128) )
| ( X126 = X127 )
| ( 5 != b(X129) ) )
& ! [X289: $int,X288: $int] :
( ( 10 != a(X288) )
| ( X288 = X289 )
| ( 10 != a(X289) ) )
& ! [X62: $int,X63: $int,X64: $int] :
( ( 2 != b(X62) )
| ( 10 != a(X62) )
| ~ $less(X62,X63)
| ( X63 = X64 )
| ( X62 = X64 )
| ( 12 != a(X63) )
| ( X62 = X63 )
| ( 5 != b(X63) )
| ( 6 != a(X64) ) )
& ! [X239: $int,X238: $int,X240: $int] :
( ( 10 != a(X239) )
| ( 5 != b(X240) )
| ( X238 = X240 )
| ~ $less(b(X239),3)
| ( X239 = X240 )
| ( 7 != a(X238) )
| ~ $less(X239,X238)
| ( X238 = X239 ) )
& ( z1 != z4 )
& ( z3 != z5 )
& ! [X87: $int,X86: $int,X88: $int] :
( ~ $less(b(X87),4)
| ~ $less(X86,X88)
| ( 10 != a(X86) )
| ( X87 = X88 )
| ( X86 = X88 )
| ( 2 != b(X86) )
| ( 8 != a(X87) )
| ( 1 != a(X88) )
| ( X86 = X87 ) )
& ! [X123: $int,X125: $int,X124: $int] :
( ( X123 = X125 )
| ( 6 != a(X123) )
| ( X123 = X124 )
| ~ $less(X124,X123)
| ( 8 != a(X125) )
| ( 10 != a(X124) )
| ~ $less(b(X124),3)
| ( X124 = X125 ) )
& ! [X299: $int,X297: $int,X298: $int] :
( ( X298 = X299 )
| ( 2 != b(X299) )
| ( 10 != a(X299) )
| ~ $less(X299,X297)
| ( 8 != a(X298) )
| ~ $less(b(X298),4)
| ( X297 = X298 )
| ( 12 != a(X297) )
| ( X297 = X299 ) )
& ! [X286: $int,X285: $int,X287: $int] :
( ( 5 != b(X286) )
| ( 6 != a(X287) )
| ( X285 = X286 )
| ~ $less(b(X285),3)
| ( 10 != a(X285) )
| ( X286 = X287 )
| ~ $less(X285,X286)
| ( 7 != a(X286) )
| ( X285 = X287 ) )
& ! [X67: $int,X66: $int,X65: $int] :
( ( X65 = X67 )
| ( 1 != a(X66) )
| ( 5 != b(X66) )
| ( 5 != a(X65) )
| ( 2 != b(X67) )
| ( X66 = X67 )
| ( X65 = X66 )
| ( 10 != a(X67) )
| ~ $less(X67,X66) )
& ! [X144: $int,X143: $int] :
( ( 8 != a(X144) )
| ( 10 != a(X143) )
| ~ $less(X143,X144)
| ( X143 = X144 )
| ~ $less(b(X143),3) )
& ! [X249: $int,X248: $int,X250: $int,X251: $int] :
( ( 5 != b(X251) )
| ~ $less(b(X250),3)
| ( 4 != a(X249) )
| ( X248 = X249 )
| ( X249 = X250 )
| ( X250 = X251 )
| ( X248 = X251 )
| ~ $less(X250,X249)
| ( X249 = X251 )
| ( 10 != a(X250) )
| ( X248 = X250 )
| ( 2 != a(X248) ) )
& ! [X49: $int,X50: $int,X51: $int] :
( ~ $less(X50,X51)
| ( 5 != b(X51) )
| ( 12 != a(X51) )
| ( 5 != a(X49) )
| ( 10 != a(X50) )
| ( 2 != b(X50) )
| ( X49 = X51 )
| ( X50 = X51 )
| ( X49 = X50 ) )
& ! [X176: $int,X175: $int,X174: $int] :
( ( X174 = X175 )
| ( 8 != a(X176) )
| ( 10 != a(X174) )
| ( X175 = X176 )
| ( 4 != a(X175) )
| ~ $less(X174,X175)
| ( 2 != b(X174) )
| ( X174 = X176 ) )
& ! [X266: $int,X268: $int,X267: $int] :
( ( 2 != b(X267) )
| ~ $less(b(X266),3)
| ( 12 != a(X268) )
| ( X266 = X267 )
| ~ $less(X266,X268)
| ( 5 != b(X268) )
| ( X267 = X268 )
| ( 7 != a(X267) )
| ( 10 != a(X266) )
| ( X266 = X268 ) )
& ! [X38: $int,X37: $int,X36: $int] :
( ( 2 != b(X36) )
| ( X36 = X38 )
| ( X37 = X38 )
| ( 6 != a(X38) )
| ( 5 != b(X38) )
| ( 5 != a(X37) )
| ~ $less(X36,X38)
| ( 10 != a(X36) )
| ( X36 = X37 ) )
& ! [X8: $int,X10: $int,X9: $int,X7: $int] :
( ( 5 != a(X10) )
| ( 1 != a(X7) )
| ( X7 = X9 )
| ( 5 != b(X8) )
| ~ $less(X9,X10)
| ( 10 != a(X9) )
| ( X8 = X10 )
| ~ $less(b(X9),3)
| ( X8 = X9 )
| ( X9 = X10 )
| ( X7 = X10 )
| ( X7 = X8 ) )
& ! [X221: $int,X223: $int,X222: $int] :
( ( 8 != a(X222) )
| ( X222 = X223 )
| ( 4 != a(X223) )
| ( 10 != a(X221) )
| ~ $less(X221,X223)
| ( X221 = X222 )
| ( X221 = X223 )
| ( 2 != b(X222) )
| ~ $less(b(X221),3) )
& ! [X212: $int,X210: $int,X211: $int,X209: $int] :
( ( X209 = X211 )
| ( X209 = X210 )
| ( 10 != a(X209) )
| ~ $less(b(X209),3)
| ( X209 = X212 )
| ( X211 = X212 )
| ( 5 != b(X210) )
| ( 6 != a(X210) )
| ~ $less(X209,X210)
| ( X210 = X211 )
| ( 2 != b(X212) )
| ( 5 != a(X211) )
| ( X210 = X212 ) )
& ! [X185: $int,X186: $int,X184: $int] :
( ( 4 != a(X185) )
| ( 1 != a(X184) )
| ( X185 = X186 )
| ( X184 = X185 )
| ( 10 != a(X186) )
| ( 2 != b(X186) )
| ~ $less(X186,X184)
| ( 5 != b(X184) )
| ( X184 = X186 ) )
& ! [X220: $int,X217: $int,X218: $int,X219: $int] :
( ( X217 = X218 )
| ( X218 = X219 )
| ~ $less(b(X219),3)
| ~ $less(X219,X217)
| ( 6 != a(X220) )
| ( 10 != a(X219) )
| ( 2 != a(X218) )
| ( 5 != a(X217) )
| ( X219 = X220 )
| ( X218 = X220 )
| ( X217 = X219 )
| ( X217 = X220 )
| ( 5 != b(X217) ) )
& ! [X278: $int,X280: $int,X279: $int] :
( ~ $less(X279,X278)
| ~ $less(b(X279),3)
| ( 10 != a(X279) )
| ( 8 != a(X280) )
| ( 2 != b(X280) )
| ( X279 = X280 )
| ( X278 = X279 )
| ( X278 = X280 )
| ~ $less(b(X278),4)
| ( 3 != a(X278) ) )
& ! [X73: $int,X72: $int,X71: $int] :
( ( 5 != b(X71) )
| ( X71 = X73 )
| ( 2 != b(X72) )
| ( X71 = X72 )
| ~ $less(X72,X71)
| ( X72 = X73 )
| ( 10 != a(X72) )
| ( 6 != a(X71) )
| ( 4 != a(X73) ) )
& ! [X92: $int,X94: $int,X93: $int,X95: $int] :
( ( 5 != b(X93) )
| ( X93 = X95 )
| ( X94 = X95 )
| ( X92 = X93 )
| ( X93 = X94 )
| ~ $less(X95,X92)
| ( 10 != a(X95) )
| ( X92 = X95 )
| ( 7 != a(X94) )
| ( X92 = X94 )
| ~ $less(b(X94),4)
| ( 2 != b(X95) )
| ( 12 != a(X92) ) )
& ! [X170: $int,X168: $int,X169: $int] :
( ( 2 != b(X168) )
| ( 8 != a(X168) )
| ( X168 = X169 )
| ( X169 = X170 )
| ~ $less(X170,X169)
| ~ $less(b(X170),3)
| ( 12 != a(X169) )
| ( 10 != a(X170) )
| ( X168 = X170 ) )
& ! [X247: $int,X245: $int,X244: $int,X246: $int] :
( ( X246 = X247 )
| ( 5 != b(X246) )
| ( 4 != a(X247) )
| ( X245 = X247 )
| ( X245 = X246 )
| ( X244 = X245 )
| ( 7 != a(X244) )
| ( 10 != a(X245) )
| ( 2 != b(X244) )
| ( X244 = X247 )
| ~ $less(X245,X247)
| ~ $less(b(X245),3)
| ( X244 = X246 ) )
& ! [X261: $int,X260: $int,X259: $int] :
( ( 5 != b(X260) )
| ( 7 != a(X261) )
| ( X259 = X260 )
| ( 10 != a(X259) )
| ( 2 != b(X259) )
| ( X259 = X261 )
| ( 4 != a(X260) )
| ( X260 = X261 )
| ~ $less(X259,X260) )
& ! [X26: $int,X25: $int,X27: $int,X28: $int] :
( ( X25 = X27 )
| ( X26 = X28 )
| ( X26 = X27 )
| ( X27 = X28 )
| ~ $less(X25,X26)
| ( 2 != a(X26) )
| ( 7 != a(X27) )
| ~ $less(b(X27),4)
| ( X25 = X28 )
| ( 2 != b(X25) )
| ( 5 != b(X28) )
| ( X25 = X26 )
| ( 10 != a(X25) ) )
& ! [X120: $int,X122: $int,X121: $int] :
( ( 2 != a(X120) )
| ( X120 = X121 )
| ( 6 != a(X122) )
| ( 10 != a(X121) )
| ( X121 = X122 )
| ( 2 != b(X121) )
| ( 5 != b(X120) )
| ~ $less(X121,X120)
| ( X120 = X122 ) )
& ! [X146: $int,X145: $int,X147: $int] :
( ~ $less(X145,X147)
| ( 2 != b(X145) )
| ~ $less(b(X146),4)
| ( X145 = X146 )
| ~ $less(b(X147),4)
| ( X146 = X147 )
| ( 8 != a(X146) )
| ( 3 != a(X147) )
| ( X145 = X147 )
| ( 10 != a(X145) ) )
& ! [X195: $int,X196: $int,X194: $int] :
( ( 10 != a(X195) )
| ( X195 = X196 )
| ( 2 != a(X196) )
| ( 2 != b(X195) )
| ( 7 != a(X194) )
| ~ $less(X195,X196)
| ~ $less(b(X194),4)
| ( X194 = X196 )
| ( 5 != b(X196) )
| ( X194 = X195 ) )
& ! [X24: $int,X22: $int,X21: $int,X23: $int] :
( ( X21 = X23 )
| ( X23 = X24 )
| ( 5 != a(X21) )
| ( X22 = X23 )
| ~ $less(X22,X23)
| ~ $less(b(X22),3)
| ( 10 != a(X22) )
| ( X21 = X24 )
| ( 5 != b(X23) )
| ( X21 = X22 )
| ( 2 != b(X21) )
| ( 5 != a(X23) )
| ( X22 = X24 )
| ( 2 != b(X24) ) )
& ( z4 != z5 )
& ! [X30: $int,X32: $int,X29: $int,X31: $int] :
( ( 8 != a(X31) )
| ~ $less(X32,X30)
| ( X29 = X32 )
| ~ $less(b(X32),3)
| ( X29 = X31 )
| ( X29 = X30 )
| ( X31 = X32 )
| ( 10 != a(X32) )
| ( X30 = X31 )
| ( X30 = X32 )
| ( 2 != a(X29) )
| ( 4 != a(X30) ) )
& ! [X177: $int,X178: $int,X179: $int] :
( ( X177 = X179 )
| ( 7 != a(X177) )
| ~ $less(X178,X177)
| ( X178 = X179 )
| ( 4 != a(X179) )
| ( X177 = X178 )
| ( 10 != a(X178) )
| ( 5 != b(X177) )
| ( 2 != b(X178) ) )
& ! [X80: $int,X79: $int,X77: $int,X78: $int] :
( ( X79 = X80 )
| ( X77 = X78 )
| ~ $less(X78,X80)
| ( 10 != a(X78) )
| ( X77 = X79 )
| ( 8 != a(X77) )
| ( X78 = X79 )
| ( X78 = X80 )
| ( X77 = X80 )
| ~ $less(b(X78),3)
| ( 5 != a(X80) )
| ( 1 != a(X79) ) )
& ! [X12: $int,X13: $int,X11: $int] :
( ( X12 = X13 )
| ~ $less(X11,X13)
| ( 2 != b(X12) )
| ( 8 != a(X12) )
| ( X11 = X13 )
| ( 1 != a(X13) )
| ( 10 != a(X11) )
| ~ $less(b(X11),3)
| ( X11 = X12 ) )
& ! [X117: $int,X119: $int,X118: $int] :
( ~ $less(X118,X119)
| ( X117 = X119 )
| ( 1 != a(X119) )
| ( 7 != a(X117) )
| ( 10 != a(X118) )
| ( X117 = X118 )
| ( 2 != b(X118) )
| ~ $less(b(X117),4)
| ( 5 != b(X119) )
| ( X118 = X119 ) )
& ! [X256: $int,X258: $int,X257: $int] :
( ( X256 = X257 )
| ~ $less(X257,X258)
| ( X257 = X258 )
| ( 5 != a(X256) )
| ( 7 != a(X258) )
| ( 5 != b(X258) )
| ( X256 = X258 )
| ( 10 != a(X257) )
| ( 2 != b(X257) ) )
& ( z1 != z3 )
& ! [X200: $int,X197: $int,X198: $int,X199: $int] :
( ( X197 = X200 )
| ( X198 = X199 )
| ~ $less(b(X198),3)
| ( X197 = X199 )
| ( X199 = X200 )
| ( 5 != a(X200) )
| ( 2 != a(X197) )
| ~ $less(X198,X200)
| ( X197 = X198 )
| ( 5 != b(X199) )
| ( X198 = X200 )
| ( 10 != a(X198) ) )
& ! [X97: $int,X96: $int,X98: $int] :
( ( 4 != a(X98) )
| ( 4 != a(X97) )
| ( 5 != b(X98) )
| ( X97 = X98 )
| ( X96 = X97 )
| ~ $less(X96,X98)
| ( 10 != a(X96) )
| ( 2 != b(X96) )
| ( X96 = X98 ) )
& ! [X1: $int,X2: $int,X0: $int] :
( ~ $less(b(X1),3)
| ( 5 != b(X2) )
| ( b(X0) != 2 )
| ( X0 = X2 )
| ~ $less(X1,X2)
| ( a(X2) != 4 )
| ( X0 = X1 )
| ( X1 = X2 )
| ( 10 != a(X1) )
| ( a(X0) != 7 ) )
& ( z1 != z2 )
& ! [X190: $int,X193: $int,X191: $int,X192: $int] :
( ( 5 != b(X191) )
| ( X192 = X193 )
| ~ $less(X192,X190)
| ( X190 = X193 )
| ( 5 != a(X190) )
| ( X190 = X191 )
| ( X190 = X192 )
| ( X191 = X193 )
| ~ $less(b(X192),3)
| ( 12 != a(X193) )
| ( X191 = X192 )
| ( 10 != a(X192) ) )
& ! [X101: $int,X100: $int,X99: $int] :
( ( 5 != a(X100) )
| ( X99 = X100 )
| ( 5 != b(X99) )
| ( 2 != b(X101) )
| ( X99 = X101 )
| ~ $less(X101,X100)
| ( 10 != a(X101) )
| ( X100 = X101 ) )
& ! [X159: $int,X157: $int,X156: $int,X158: $int] :
( ( X158 = X159 )
| ( 1 != a(X157) )
| ( 2 != b(X159) )
| ( 10 != a(X158) )
| ( 5 != b(X156) )
| ~ $less(b(X158),3)
| ( X156 = X157 )
| ( X156 = X159 )
| ~ $less(X158,X157)
| ( X156 = X158 )
| ( 7 != a(X159) )
| ( X157 = X158 )
| ( X157 = X159 ) )
& ! [X290: $int,X291: $int,X292: $int] :
( ( X290 = X292 )
| ( 7 != a(X292) )
| ( 10 != a(X291) )
| ( 5 != b(X290) )
| ( X291 = X292 )
| ( 7 != a(X290) )
| ( X290 = X291 )
| ~ $less(b(X291),3)
| ~ $less(X291,X290) )
& ! [X112: $int,X111: $int,X110: $int] :
( ( 10 != a(X111) )
| ( 2 != b(X111) )
| ( 4 != a(X112) )
| ( X110 = X111 )
| ( 5 != b(X110) )
| ( X110 = X112 )
| ( X111 = X112 )
| ~ $less(X111,X110)
| ( 2 != a(X110) ) )
& ! [X15: $int,X16: $int,X14: $int] :
( ~ $less(X15,X14)
| ( 5 != b(X14) )
| ( 1 != a(X14) )
| ~ $less(b(X15),3)
| ( X15 = X16 )
| ( 10 != a(X15) )
| ( X14 = X16 )
| ( 7 != a(X16) )
| ( 2 != b(X16) )
| ( X14 = X15 ) )
& ! [X236: $int,X235: $int,X237: $int] :
( ~ $less(b(X235),3)
| ( 8 != a(X237) )
| ( 10 != a(X235) )
| ( X235 = X237 )
| ( X235 = X236 )
| ( 7 != a(X236) )
| ~ $less(X235,X236)
| ( X236 = X237 ) )
& ( z2 != z3 )
& ! [X205: $int] :
( ~ $less(b(X205),1)
& ~ $less(5,b(X205)) )
& ! [X131: $int,X132: $int,X130: $int,X133: $int] :
( ( X130 = X132 )
| ( 5 != b(X130) )
| ~ $less(b(X132),3)
| ( X130 = X131 )
| ( X130 = X133 )
| ~ $less(X132,X130)
| ( X131 = X132 )
| ( 2 != b(X131) )
| ( X132 = X133 )
| ( 5 != a(X130) )
| ( X131 = X133 )
| ( 10 != a(X132) )
| ( 6 != a(X133) ) )
& ! [X152: $int,X155: $int,X154: $int,X153: $int] :
( ( 7 != a(X155) )
| ( 12 != a(X152) )
| ( X154 = X155 )
| ( X152 = X154 )
| ( X153 = X155 )
| ( 2 != b(X155) )
| ( X153 = X154 )
| ( 5 != b(X153) )
| ( 10 != a(X154) )
| ~ $less(X154,X152)
| ~ $less(b(X154),3)
| ( X152 = X155 )
| ( X152 = X153 ) )
& ! [X6: $int,X5: $int,X4: $int,X3: $int] :
( ~ $less(X6,X3)
| ( X3 = X6 )
| ( 10 != a(X6) )
| ~ $less(b(X6),3)
| ( X4 = X5 )
| ( 5 != a(X3) )
| ( X5 = X6 )
| ( 2 != b(X5) )
| ( X3 = X4 )
| ( X3 = X5 )
| ( X4 = X6 )
| ( 8 != a(X4) ) )
& ! [X262: $int,X265: $int,X264: $int,X263: $int] :
( ~ $less(X265,X264)
| ( 2 != b(X263) )
| ( X262 = X265 )
| ( X263 = X264 )
| ( X262 = X264 )
| ( X262 = X263 )
| ( 4 != a(X262) )
| ( 7 != a(X264) )
| ( X264 = X265 )
| ~ $less(b(X265),3)
| ( 5 != b(X264) )
| ( X263 = X265 )
| ( 10 != a(X265) ) )
& ! [X163: $int,X161: $int,X162: $int,X160: $int] :
( ( 5 != b(X162) )
| ( 2 != a(X162) )
| ( 7 != a(X161) )
| ~ $less(b(X163),3)
| ( X161 = X162 )
| ( X162 = X163 )
| ~ $less(X163,X160)
| ( X160 = X162 )
| ( X160 = X163 )
| ( 5 != a(X160) )
| ( X160 = X161 )
| ( X161 = X163 )
| ( 10 != a(X163) ) )
& ! [X164: $int,X166: $int,X167: $int,X165: $int] :
( ~ $less(b(X167),4)
| ( 10 != a(X166) )
| ~ $less(X166,X165)
| ( 3 != a(X165) )
| ( X165 = X166 )
| ~ $less(b(X165),4)
| ( X166 = X167 )
| ( 7 != a(X167) )
| ( X164 = X165 )
| ( X164 = X167 )
| ( X165 = X167 )
| ( 2 != b(X166) )
| ( X164 = X166 )
| ( 5 != b(X164) ) )
& ! [X228: $int,X230: $int,X231: $int,X229: $int] :
( ( 5 != a(X228) )
| ( 5 != b(X228) )
| ( 7 != a(X231) )
| ( X229 = X230 )
| ( 10 != a(X229) )
| ( 2 != a(X230) )
| ( X230 = X231 )
| ( X228 = X231 )
| ( X229 = X231 )
| ~ $less(b(X229),3)
| ( X228 = X229 )
| ~ $less(X229,X228)
| ( X228 = X230 ) )
& ! [X282: $int,X281: $int,X284: $int,X283: $int] :
( ( X283 = X284 )
| ( 5 != a(X282) )
| ( X281 = X283 )
| ( X282 = X284 )
| ( X282 = X283 )
| ( 10 != a(X281) )
| ~ $less(b(X281),3)
| ( 5 != b(X282) )
| ( 7 != a(X284) )
| ( X281 = X284 )
| ( X281 = X282 )
| ( 2 != b(X283) )
| ~ $less(X281,X282) )
& ! [X45: $int,X43: $int,X42: $int,X44: $int] :
( ( X43 = X45 )
| ( X42 = X43 )
| ( 5 != a(X44) )
| ( X44 = X45 )
| ~ $less(b(X42),3)
| ( X42 = X44 )
| ( 5 != a(X45) )
| ( 10 != a(X42) )
| ~ $less(X42,X44)
| ( X42 = X45 )
| ( X43 = X44 )
| ( 2 != b(X43) )
| ( 5 != b(X44) ) )
& ! [X271: $int,X269: $int,X270: $int] :
( ( 5 != a(X269) )
| ( 2 != b(X271) )
| ( 10 != a(X271) )
| ( 2 != a(X270) )
| ( X269 = X271 )
| ( X270 = X271 )
| ( X269 = X270 )
| ~ $less(X271,X270)
| ( 5 != b(X270) ) )
& ! [X105: $int,X104: $int,X106: $int,X103: $int] :
( ~ $less(X103,X105)
| ( 10 != a(X103) )
| ( X104 = X105 )
| ( 7 != a(X104) )
| ( 5 != b(X106) )
| ( 2 != b(X103) )
| ( X104 = X106 )
| ~ $less(b(X104),4)
| ( 1 != a(X105) )
| ( X103 = X106 )
| ( X103 = X105 )
| ( X103 = X104 )
| ( X105 = X106 ) )
& ! [X47: $int,X48: $int,X46: $int] :
( ( 10 != a(X46) )
| ( X46 = X47 )
| ~ $less(X46,X48)
| ( 2 != b(X46) )
| ( 4 != a(X48) )
| ( 5 != b(X48) )
| ( X47 = X48 )
| ( 6 != a(X47) )
| ( X46 = X48 ) )
& ! [X56: $int,X57: $int,X58: $int] :
( ( X56 = X58 )
| ~ $less(X57,X58)
| ( X57 = X58 )
| ( 2 != a(X58) )
| ( 5 != b(X58) )
| ( 2 != b(X56) )
| ( 7 != a(X56) )
| ~ $less(b(X57),3)
| ( X56 = X57 )
| ( 10 != a(X57) ) )
& ! [X109: $int,X108: $int,X107: $int] :
( ( X107 = X109 )
| ~ $less(X107,X109)
| ( 2 != b(X107) )
| ( X107 = X108 )
| ~ $less(b(X108),4)
| ( X108 = X109 )
| ( 10 != a(X107) )
| ( 8 != a(X108) )
| ( 2 != a(X109) ) )
& ! [X91: $int,X89: $int,X90: $int] :
( ( 1 != a(X89) )
| ( X89 = X90 )
| ~ $less(X90,X89)
| ( 5 != b(X89) )
| ( 6 != a(X91) )
| ( X89 = X91 )
| ( 2 != b(X90) )
| ( X90 = X91 )
| ( 10 != a(X90) ) )
& ! [X272: $int,X273: $int,X274: $int] :
( ( 6 != a(X274) )
| ( X272 = X274 )
| ( 5 != b(X273) )
| ~ $less(b(X272),3)
| ( X272 = X273 )
| ( 10 != a(X272) )
| ( X273 = X274 )
| ~ $less(X272,X274) )
& ! [X33: $int,X35: $int,X34: $int] :
( ~ $less(b(X33),4)
| ~ $less(X34,X35)
| ( 10 != a(X34) )
| ( 7 != a(X33) )
| ( 5 != b(X35) )
| ( X34 = X35 )
| ( 2 != b(X34) )
| ( X33 = X34 )
| ( 12 != a(X35) )
| ( X33 = X35 ) )
& ! [X116: $int,X115: $int,X113: $int,X114: $int] :
( ( X113 = X115 )
| ( X113 = X116 )
| ( X114 = X116 )
| ~ $less(b(X116),4)
| ~ $less(b(X115),3)
| ( X114 = X115 )
| ( 10 != a(X115) )
| ( 3 != a(X116) )
| ( X113 = X114 )
| ( X115 = X116 )
| ( 2 != b(X114) )
| ( 5 != b(X113) )
| ( 7 != a(X114) )
| ~ $less(X115,X116) )
& ! [X226: $int,X227: $int,X224: $int,X225: $int] :
( ( 8 != a(X227) )
| ( X224 = X225 )
| ( X224 = X226 )
| ( X226 = X227 )
| ( X225 = X226 )
| ~ $less(X225,X224)
| ( X224 = X227 )
| ( 3 != a(X224) )
| ~ $less(b(X227),4)
| ( 2 != b(X226) )
| ( X225 = X227 )
| ( 10 != a(X225) )
| ~ $less(b(X225),3)
| ~ $less(b(X224),4) )
& ! [X136: $int,X135: $int,X134: $int] :
( ( 10 != a(X135) )
| ( 4 != a(X136) )
| ( X135 = X136 )
| ( 2 != b(X135) )
| ( X134 = X136 )
| ( 5 != b(X134) )
| ~ $less(X135,X134)
| ( X134 = X135 )
| ( 5 != a(X134) ) )
& ( z3 != z4 )
& ! [X183: $int,X180: $int,X181: $int,X182: $int] :
( ( 1 != a(X180) )
| ( X181 = X182 )
| ( X180 = X183 )
| ( X182 = X183 )
| ( 10 != a(X181) )
| ( 4 != a(X182) )
| ~ $less(b(X181),3)
| ( 5 != b(X183) )
| ( X180 = X182 )
| ~ $less(X181,X182)
| ( X180 = X181 )
| ( X181 = X183 ) )
& ! [X142: $int,X141: $int,X140: $int] :
( ( 2 != b(X141) )
| ~ $less(X142,X140)
| ( X140 = X141 )
| ( 10 != a(X142) )
| ( X140 = X142 )
| ~ $less(b(X142),3)
| ( X141 = X142 )
| ( 2 != a(X140) )
| ( 8 != a(X141) ) ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f7,plain,
( ! [X149: $int,X150: $int,X151: $int,X148: $int] :
( ( X148 = X150 )
| ( X149 = X151 )
| ( 4 != a(X148) )
| ( X148 = X151 )
| ( X149 = X150 )
| ( 10 != a(X150) )
| ( 8 != a(X149) )
| ( X150 = X151 )
| ( X148 = X149 )
| ~ $less(b(X150),3)
| ~ $less(X150,X148)
| ( 2 != b(X151) ) )
& ! [X203: $int,X204: $int,X202: $int,X201: $int] :
( ~ $less(b(X203),3)
| ( X203 = X204 )
| ( 5 != a(X202) )
| ( 5 != b(X201) )
| ( 10 != a(X203) )
| ( 2 != b(X204) )
| ( X202 = X204 )
| ( X201 = X202 )
| ~ $less(X203,X202)
| ( X201 = X204 )
| ( X202 = X203 )
| ( X201 = X203 ) )
& ! [X91: $int,X89: $int,X90: $int] :
( ( 1 != a(X89) )
| ( X89 = X90 )
| ~ $less(X90,X89)
| ( 5 != b(X89) )
| ( 6 != a(X91) )
| ( X89 = X91 )
| ( 2 != b(X90) )
| ( X90 = X91 )
| ( 10 != a(X90) ) )
& ! [X20: $int,X17: $int,X18: $int,X19: $int] :
( ( 4 != a(X18) )
| ( X18 = X19 )
| ( 10 != a(X17) )
| ( 2 != b(X20) )
| ( X17 = X20 )
| ( 5 != b(X19) )
| ( X19 = X20 )
| ~ $less(X17,X18)
| ( X18 = X20 )
| ~ $less(b(X17),3)
| ( X17 = X19 )
| ( X17 = X18 ) )
& ! [X126: $int,X129: $int,X127: $int,X128: $int] :
( ( X128 = X129 )
| ~ $less(X127,X128)
| ( 2 != b(X126) )
| ( X127 = X129 )
| ( 7 != a(X126) )
| ( X127 = X128 )
| ~ $less(b(X127),3)
| ( 10 != a(X127) )
| ( X126 = X128 )
| ( X126 = X129 )
| ( 2 != a(X128) )
| ( X126 = X127 )
| ( 5 != b(X129) ) )
& ! [X177: $int,X178: $int,X179: $int] :
( ( X177 = X179 )
| ( 7 != a(X177) )
| ~ $less(X178,X177)
| ( X178 = X179 )
| ( 4 != a(X179) )
| ( X177 = X178 )
| ( 10 != a(X178) )
| ( 5 != b(X177) )
| ( 2 != b(X178) ) )
& ! [X6: $int,X5: $int,X4: $int,X3: $int] :
( ~ $less(X6,X3)
| ( X3 = X6 )
| ( 10 != a(X6) )
| ~ $less(b(X6),3)
| ( X4 = X5 )
| ( 5 != a(X3) )
| ( X5 = X6 )
| ( 2 != b(X5) )
| ( X3 = X4 )
| ( X3 = X5 )
| ( X4 = X6 )
| ( 8 != a(X4) ) )
& ! [X190: $int,X193: $int,X191: $int,X192: $int] :
( ( 5 != b(X191) )
| ( X192 = X193 )
| ~ $less(X192,X190)
| ( X190 = X193 )
| ( 5 != a(X190) )
| ( X190 = X191 )
| ( X190 = X192 )
| ( X191 = X193 )
| ~ $less(b(X192),3)
| ( 12 != a(X193) )
| ( X191 = X192 )
| ( 10 != a(X192) ) )
& ! [X68: $int,X70: $int,X69: $int] :
( ( 2 != b(X70) )
| ( X68 = X69 )
| ( X68 = X70 )
| ( 5 != b(X69) )
| ( 10 != a(X70) )
| ( X69 = X70 )
| ~ $less(X70,X68)
| ( 4 != a(X68) ) )
& ( z1 != z3 )
& ! [X84: $int,X85: $int] :
( ( 10 != a(X84) )
| ~ $less(X84,X85)
| ~ $less(b(X84),3)
| ( X84 = X85 )
| ( 9 != a(X85) ) )
& ! [X226: $int,X227: $int,X224: $int,X225: $int] :
( ( 8 != a(X227) )
| ( X224 = X225 )
| ( X224 = X226 )
| ( X226 = X227 )
| ( X225 = X226 )
| ~ $less(X225,X224)
| ( X224 = X227 )
| ( 3 != a(X224) )
| ~ $less(b(X227),4)
| ( 2 != b(X226) )
| ( X225 = X227 )
| ( 10 != a(X225) )
| ~ $less(b(X225),3)
| ~ $less(b(X224),4) )
& ! [X152: $int,X155: $int,X154: $int,X153: $int] :
( ( 7 != a(X155) )
| ( 12 != a(X152) )
| ( X154 = X155 )
| ( X152 = X154 )
| ( X153 = X155 )
| ( 2 != b(X155) )
| ( X153 = X154 )
| ( 5 != b(X153) )
| ( 10 != a(X154) )
| ~ $less(X154,X152)
| ~ $less(b(X154),3)
| ( X152 = X155 )
| ( X152 = X153 ) )
& ! [X1: $int,X2: $int,X0: $int] :
( ~ $less(b(X1),3)
| ( 5 != b(X2) )
| ( b(X0) != 2 )
| ( X0 = X2 )
| ~ $less(X1,X2)
| ( a(X2) != 4 )
| ( X0 = X1 )
| ( X1 = X2 )
| ( 10 != a(X1) )
| ( a(X0) != 7 ) )
& ! [X242: $int,X243: $int,X241: $int] :
( ( X241 = X242 )
| ( 2 != b(X241) )
| ( 5 != b(X243) )
| ( 5 != a(X242) )
| ~ $less(X241,X243)
| ( 10 != a(X241) )
| ( 5 != a(X243) )
| ( X242 = X243 )
| ( X241 = X243 ) )
& ! [X220: $int,X217: $int,X218: $int,X219: $int] :
( ( X217 = X218 )
| ( X218 = X219 )
| ~ $less(b(X219),3)
| ~ $less(X219,X217)
| ( 6 != a(X220) )
| ( 10 != a(X219) )
| ( 2 != a(X218) )
| ( 5 != a(X217) )
| ( X219 = X220 )
| ( X218 = X220 )
| ( X217 = X219 )
| ( X217 = X220 )
| ( 5 != b(X217) ) )
& ( z3 != z5 )
& ! [X24: $int,X22: $int,X21: $int,X23: $int] :
( ( X21 = X23 )
| ( X23 = X24 )
| ( 5 != a(X21) )
| ( X22 = X23 )
| ~ $less(X22,X23)
| ~ $less(b(X22),3)
| ( 10 != a(X22) )
| ( X21 = X24 )
| ( 5 != b(X23) )
| ( X21 = X22 )
| ( 2 != b(X21) )
| ( 5 != a(X23) )
| ( X22 = X24 )
| ( 2 != b(X24) ) )
& ! [X286: $int,X285: $int,X287: $int] :
( ( 5 != b(X286) )
| ( 6 != a(X287) )
| ( X285 = X286 )
| ~ $less(b(X285),3)
| ( 10 != a(X285) )
| ( X286 = X287 )
| ~ $less(X285,X286)
| ( 7 != a(X286) )
| ( X285 = X287 ) )
& ! [X289: $int,X288: $int] :
( ( 10 != a(X288) )
| ( X288 = X289 )
| ( 10 != a(X289) ) )
& ! [X296: $int,X295: $int,X293: $int,X294: $int] :
( ( 7 != a(X294) )
| ( 5 != b(X294) )
| ~ $less(b(X295),3)
| ( X294 = X296 )
| ( X293 = X296 )
| ( X294 = X295 )
| ( 10 != a(X295) )
| ( X295 = X296 )
| ( X293 = X294 )
| ( X293 = X295 )
| ( 5 != a(X293) )
| ~ $less(X295,X294)
| ( 2 != b(X296) ) )
& ! [X239: $int,X238: $int,X240: $int] :
( ( 10 != a(X239) )
| ( 5 != b(X240) )
| ( X238 = X240 )
| ~ $less(b(X239),3)
| ( X239 = X240 )
| ( 7 != a(X238) )
| ~ $less(X239,X238)
| ( X238 = X239 ) )
& ! [X247: $int,X245: $int,X244: $int,X246: $int] :
( ( X246 = X247 )
| ( 5 != b(X246) )
| ( 4 != a(X247) )
| ( X245 = X247 )
| ( X245 = X246 )
| ( X244 = X245 )
| ( 7 != a(X244) )
| ( 10 != a(X245) )
| ( 2 != b(X244) )
| ( X244 = X247 )
| ~ $less(X245,X247)
| ~ $less(b(X245),3)
| ( X244 = X246 ) )
& ! [X290: $int,X291: $int,X292: $int] :
( ( X290 = X292 )
| ( 7 != a(X292) )
| ( 10 != a(X291) )
| ( 5 != b(X290) )
| ( X291 = X292 )
| ( 7 != a(X290) )
| ( X290 = X291 )
| ~ $less(b(X291),3)
| ~ $less(X291,X290) )
& ! [X249: $int,X248: $int,X250: $int,X251: $int] :
( ( 5 != b(X251) )
| ~ $less(b(X250),3)
| ( 4 != a(X249) )
| ( X248 = X249 )
| ( X249 = X250 )
| ( X250 = X251 )
| ( X248 = X251 )
| ~ $less(X250,X249)
| ( X249 = X251 )
| ( 10 != a(X250) )
| ( X248 = X250 )
| ( 2 != a(X248) ) )
& ! [X15: $int,X16: $int,X14: $int] :
( ~ $less(X15,X14)
| ( 5 != b(X14) )
| ( 1 != a(X14) )
| ~ $less(b(X15),3)
| ( X15 = X16 )
| ( 10 != a(X15) )
| ( X14 = X16 )
| ( 7 != a(X16) )
| ( 2 != b(X16) )
| ( X14 = X15 ) )
& ! [X144: $int,X143: $int] :
( ( 8 != a(X144) )
| ( 10 != a(X143) )
| ~ $less(X143,X144)
| ( X143 = X144 )
| ~ $less(b(X143),3) )
& ( z4 != z5 )
& ! [X221: $int,X223: $int,X222: $int] :
( ( 8 != a(X222) )
| ( X222 = X223 )
| ( 4 != a(X223) )
| ( 10 != a(X221) )
| ~ $less(X221,X223)
| ( X221 = X222 )
| ( X221 = X223 )
| ( 2 != b(X222) )
| ~ $less(b(X221),3) )
& ! [X74: $int,X76: $int,X75: $int] :
( ( X75 = X76 )
| ( X74 = X76 )
| ( 10 != a(X75) )
| ( X74 = X75 )
| ( 4 != a(X74) )
| ( 5 != a(X76) )
| ( 5 != b(X74) )
| ~ $less(X75,X74)
| ( 2 != b(X75) ) )
& ! [X205: $int] :
( ~ $less(b(X205),1)
& ~ $less(5,b(X205)) )
& ( a(z1) = 5 )
& ! [X56: $int,X57: $int,X58: $int] :
( ( X56 = X58 )
| ~ $less(X57,X58)
| ( X57 = X58 )
| ( 2 != a(X58) )
| ( 5 != b(X58) )
| ( 2 != b(X56) )
| ( 7 != a(X56) )
| ~ $less(b(X57),3)
| ( X56 = X57 )
| ( 10 != a(X57) ) )
& ! [X185: $int,X186: $int,X184: $int] :
( ( 4 != a(X185) )
| ( 1 != a(X184) )
| ( X185 = X186 )
| ( X184 = X185 )
| ( 10 != a(X186) )
| ( 2 != b(X186) )
| ~ $less(X186,X184)
| ( 5 != b(X184) )
| ( X184 = X186 ) )
& ! [X261: $int,X260: $int,X259: $int] :
( ( 5 != b(X260) )
| ( 7 != a(X261) )
| ( X259 = X260 )
| ( 10 != a(X259) )
| ( 2 != b(X259) )
| ( X259 = X261 )
| ( 4 != a(X260) )
| ( X260 = X261 )
| ~ $less(X259,X260) )
& ( b(z4) = 2 )
& ( a(z3) = 6 )
& ! [X137: $int,X138: $int,X139: $int] :
( ( 5 != b(X137) )
| ( 4 != a(X139) )
| ( X137 = X139 )
| ( 12 != a(X137) )
| ( 10 != a(X138) )
| ( 2 != b(X138) )
| ( X137 = X138 )
| ( X138 = X139 )
| ~ $less(X138,X137) )
& ! [X33: $int,X35: $int,X34: $int] :
( ~ $less(b(X33),4)
| ~ $less(X34,X35)
| ( 10 != a(X34) )
| ( 7 != a(X33) )
| ( 5 != b(X35) )
| ( X34 = X35 )
| ( 2 != b(X34) )
| ( X33 = X34 )
| ( 12 != a(X35) )
| ( X33 = X35 ) )
& ! [X183: $int,X180: $int,X181: $int,X182: $int] :
( ( 1 != a(X180) )
| ( X181 = X182 )
| ( X180 = X183 )
| ( X182 = X183 )
| ( 10 != a(X181) )
| ( 4 != a(X182) )
| ~ $less(b(X181),3)
| ( 5 != b(X183) )
| ( X180 = X182 )
| ~ $less(X181,X182)
| ( X180 = X181 )
| ( X181 = X183 ) )
& ( z1 != z2 )
& ! [X112: $int,X111: $int,X110: $int] :
( ( 10 != a(X111) )
| ( 2 != b(X111) )
| ( 4 != a(X112) )
| ( X110 = X111 )
| ( 5 != b(X110) )
| ( X110 = X112 )
| ( X111 = X112 )
| ~ $less(X111,X110)
| ( 2 != a(X110) ) )
& ! [X266: $int,X268: $int,X267: $int] :
( ( 2 != b(X267) )
| ~ $less(b(X266),3)
| ( 12 != a(X268) )
| ( X266 = X267 )
| ~ $less(X266,X268)
| ( 5 != b(X268) )
| ( X267 = X268 )
| ( 7 != a(X267) )
| ( 10 != a(X266) )
| ( X266 = X268 ) )
& ! [X146: $int,X145: $int,X147: $int] :
( ~ $less(X145,X147)
| ( 2 != b(X145) )
| ~ $less(b(X146),4)
| ( X145 = X146 )
| ~ $less(b(X147),4)
| ( X146 = X147 )
| ( 8 != a(X146) )
| ( 3 != a(X147) )
| ( X145 = X147 )
| ( 10 != a(X145) ) )
& ( z3 != z4 )
& ! [X187: $int,X189: $int,X188: $int] :
( ( 5 != a(X187) )
| ( X187 = X189 )
| ( 2 != b(X188) )
| ~ $less(X188,X187)
| ( 10 != a(X188) )
| ( 6 != a(X189) )
| ( X187 = X188 )
| ( X188 = X189 )
| ( 5 != b(X187) ) )
& ! [X131: $int,X132: $int,X130: $int,X133: $int] :
( ( X130 = X132 )
| ( 5 != b(X130) )
| ~ $less(b(X132),3)
| ( X130 = X131 )
| ( X130 = X133 )
| ~ $less(X132,X130)
| ( X131 = X132 )
| ( 2 != b(X131) )
| ( X132 = X133 )
| ( 5 != a(X130) )
| ( X131 = X133 )
| ( 10 != a(X132) )
| ( 6 != a(X133) ) )
& ! [X47: $int,X48: $int,X46: $int] :
( ( 10 != a(X46) )
| ( X46 = X47 )
| ~ $less(X46,X48)
| ( 2 != b(X46) )
| ( 4 != a(X48) )
| ( 5 != b(X48) )
| ( X47 = X48 )
| ( 6 != a(X47) )
| ( X46 = X48 ) )
& ! [X45: $int,X43: $int,X42: $int,X44: $int] :
( ( X43 = X45 )
| ( X42 = X43 )
| ( 5 != a(X44) )
| ( X44 = X45 )
| ~ $less(b(X42),3)
| ( X42 = X44 )
| ( 5 != a(X45) )
| ( 10 != a(X42) )
| ~ $less(X42,X44)
| ( X42 = X45 )
| ( X43 = X44 )
| ( 2 != b(X43) )
| ( 5 != b(X44) ) )
& ! [X252: $int,X255: $int,X253: $int,X254: $int] :
( ( X253 = X254 )
| ( 5 != b(X253) )
| ( 7 != a(X253) )
| ( X252 = X254 )
| ( 2 != a(X255) )
| ( 10 != a(X254) )
| ( X254 = X255 )
| ( X252 = X253 )
| ( X253 = X255 )
| ~ $less(X254,X253)
| ( X252 = X255 )
| ( 5 != a(X252) )
| ~ $less(b(X254),3) )
& ! [X170: $int,X168: $int,X169: $int] :
( ( 2 != b(X168) )
| ( 8 != a(X168) )
| ( X168 = X169 )
| ( X169 = X170 )
| ~ $less(X170,X169)
| ~ $less(b(X170),3)
| ( 12 != a(X169) )
| ( 10 != a(X170) )
| ( X168 = X170 ) )
& ! [X92: $int,X94: $int,X93: $int,X95: $int] :
( ( 5 != b(X93) )
| ( X93 = X95 )
| ( X94 = X95 )
| ( X92 = X93 )
| ( X93 = X94 )
| ~ $less(X95,X92)
| ( 10 != a(X95) )
| ( X92 = X95 )
| ( 7 != a(X94) )
| ( X92 = X94 )
| ~ $less(b(X94),4)
| ( 2 != b(X95) )
| ( 12 != a(X92) ) )
& ! [X105: $int,X104: $int,X106: $int,X103: $int] :
( ~ $less(X103,X105)
| ( 10 != a(X103) )
| ( X104 = X105 )
| ( 7 != a(X104) )
| ( 5 != b(X106) )
| ( 2 != b(X103) )
| ( X104 = X106 )
| ~ $less(b(X104),4)
| ( 1 != a(X105) )
| ( X103 = X106 )
| ( X103 = X105 )
| ( X103 = X104 )
| ( X105 = X106 ) )
& ! [X49: $int,X50: $int,X51: $int] :
( ~ $less(X50,X51)
| ( 5 != b(X51) )
| ( 12 != a(X51) )
| ( 5 != a(X49) )
| ( 10 != a(X50) )
| ( 2 != b(X50) )
| ( X49 = X51 )
| ( X50 = X51 )
| ( X49 = X50 ) )
& ! [X159: $int,X157: $int,X156: $int,X158: $int] :
( ( X158 = X159 )
| ( 1 != a(X157) )
| ( 2 != b(X159) )
| ( 10 != a(X158) )
| ( 5 != b(X156) )
| ~ $less(b(X158),3)
| ( X156 = X157 )
| ( X156 = X159 )
| ~ $less(X158,X157)
| ( X156 = X158 )
| ( 7 != a(X159) )
| ( X157 = X158 )
| ( X157 = X159 ) )
& ! [X116: $int,X115: $int,X113: $int,X114: $int] :
( ( X113 = X115 )
| ( X113 = X116 )
| ( X114 = X116 )
| ~ $less(b(X116),4)
| ~ $less(b(X115),3)
| ( X114 = X115 )
| ( 10 != a(X115) )
| ( 3 != a(X116) )
| ( X113 = X114 )
| ( X115 = X116 )
| ( 2 != b(X114) )
| ( 5 != b(X113) )
| ( 7 != a(X114) )
| ~ $less(X115,X116) )
& ! [X275: $int,X277: $int,X276: $int] :
( ( 10 != a(X276) )
| ( 6 != a(X277) )
| ( 7 != a(X275) )
| ( X275 = X277 )
| ( 5 != b(X277) )
| ( X275 = X276 )
| ~ $less(X276,X277)
| ~ $less(b(X276),3)
| ( X276 = X277 ) )
& ! [X236: $int,X235: $int,X237: $int] :
( ~ $less(b(X235),3)
| ( 8 != a(X237) )
| ( 10 != a(X235) )
| ( X235 = X237 )
| ( X235 = X236 )
| ( 7 != a(X236) )
| ~ $less(X235,X236)
| ( X236 = X237 ) )
& $less(b(z2),3)
& ! [X212: $int,X210: $int,X211: $int,X209: $int] :
( ( X209 = X211 )
| ( X209 = X210 )
| ( 10 != a(X209) )
| ~ $less(b(X209),3)
| ( X209 = X212 )
| ( X211 = X212 )
| ( 5 != b(X210) )
| ( 6 != a(X210) )
| ~ $less(X209,X210)
| ( X210 = X211 )
| ( 2 != b(X212) )
| ( 5 != a(X211) )
| ( X210 = X212 ) )
& ! [X256: $int,X258: $int,X257: $int] :
( ( X256 = X257 )
| ~ $less(X257,X258)
| ( X257 = X258 )
| ( 5 != a(X256) )
| ( 7 != a(X258) )
| ( 5 != b(X258) )
| ( X256 = X258 )
| ( 10 != a(X257) )
| ( 2 != b(X257) ) )
& ! [X109: $int,X108: $int,X107: $int] :
( ( X107 = X109 )
| ~ $less(X107,X109)
| ( 2 != b(X107) )
| ( X107 = X108 )
| ~ $less(b(X108),4)
| ( X108 = X109 )
| ( 10 != a(X107) )
| ( 8 != a(X108) )
| ( 2 != a(X109) ) )
& ( z1 != z5 )
& ! [X123: $int,X125: $int,X124: $int] :
( ( X123 = X125 )
| ( 6 != a(X123) )
| ( X123 = X124 )
| ~ $less(X124,X123)
| ( 8 != a(X125) )
| ( 10 != a(X124) )
| ~ $less(b(X124),3)
| ( X124 = X125 ) )
& ( z2 != z5 )
& ! [X73: $int,X72: $int,X71: $int] :
( ( 5 != b(X71) )
| ( X71 = X73 )
| ( 2 != b(X72) )
| ( X71 = X72 )
| ~ $less(X72,X71)
| ( X72 = X73 )
| ( 10 != a(X72) )
| ( 6 != a(X71) )
| ( 4 != a(X73) ) )
& ! [X195: $int,X196: $int,X194: $int] :
( ( 10 != a(X195) )
| ( X195 = X196 )
| ( 2 != a(X196) )
| ( 2 != b(X195) )
| ( 7 != a(X194) )
| ~ $less(X195,X196)
| ~ $less(b(X194),4)
| ( X194 = X196 )
| ( 5 != b(X196) )
| ( X194 = X195 ) )
& ! [X61: $int,X60: $int,X59: $int] :
( ( 6 != a(X59) )
| ~ $less(b(X61),3)
| ( X59 = X60 )
| ( 10 != a(X61) )
| ( X59 = X61 )
| ( X60 = X61 )
| ( 5 != b(X60) )
| ~ $less(X61,X60)
| ( 6 != a(X60) ) )
& ! [X38: $int,X37: $int,X36: $int] :
( ( 2 != b(X36) )
| ( X36 = X38 )
| ( X37 = X38 )
| ( 6 != a(X38) )
| ( 5 != b(X38) )
| ( 5 != a(X37) )
| ~ $less(X36,X38)
| ( 10 != a(X36) )
| ( X36 = X37 ) )
& ( a(z2) = 10 )
& ! [X262: $int,X265: $int,X264: $int,X263: $int] :
( ~ $less(X265,X264)
| ( 2 != b(X263) )
| ( X262 = X265 )
| ( X263 = X264 )
| ( X262 = X264 )
| ( X262 = X263 )
| ( 4 != a(X262) )
| ( 7 != a(X264) )
| ( X264 = X265 )
| ~ $less(b(X265),3)
| ( 5 != b(X264) )
| ( X263 = X265 )
| ( 10 != a(X265) ) )
& ! [X12: $int,X13: $int,X11: $int] :
( ( X12 = X13 )
| ~ $less(X11,X13)
| ( 2 != b(X12) )
| ( 8 != a(X12) )
| ( X11 = X13 )
| ( 1 != a(X13) )
| ( 10 != a(X11) )
| ~ $less(b(X11),3)
| ( X11 = X12 ) )
& ! [X164: $int,X166: $int,X167: $int,X165: $int] :
( ~ $less(b(X167),4)
| ( 10 != a(X166) )
| ~ $less(X166,X165)
| ( 3 != a(X165) )
| ( X165 = X166 )
| ~ $less(b(X165),4)
| ( X166 = X167 )
| ( 7 != a(X167) )
| ( X164 = X165 )
| ( X164 = X167 )
| ( X165 = X167 )
| ( 2 != b(X166) )
| ( X164 = X166 )
| ( 5 != b(X164) ) )
& ! [X80: $int,X79: $int,X77: $int,X78: $int] :
( ( X79 = X80 )
| ( X77 = X78 )
| ~ $less(X78,X80)
| ( 10 != a(X78) )
| ( X77 = X79 )
| ( 8 != a(X77) )
| ( X78 = X79 )
| ( X78 = X80 )
| ( X77 = X80 )
| ~ $less(b(X78),3)
| ( 5 != a(X80) )
| ( 1 != a(X79) ) )
& ! [X8: $int,X10: $int,X9: $int,X7: $int] :
( ( 5 != a(X10) )
| ( 1 != a(X7) )
| ( X7 = X9 )
| ( 5 != b(X8) )
| ~ $less(X9,X10)
| ( 10 != a(X9) )
| ( X8 = X10 )
| ~ $less(b(X9),3)
| ( X8 = X9 )
| ( X9 = X10 )
| ( X7 = X10 )
| ( X7 = X8 ) )
& ! [X208: $int,X207: $int,X206: $int] :
( ( X206 = X208 )
| ( X207 = X208 )
| ( 5 != b(X206) )
| ( 10 != a(X208) )
| ( 2 != b(X208) )
| ~ $less(X208,X206)
| ( X206 = X207 )
| ( 7 != a(X207) )
| ( 5 != a(X206) ) )
& ! [X232: $int,X233: $int,X234: $int] :
( ( 2 != b(X234) )
| ( 8 != a(X233) )
| ( 5 != a(X232) )
| ( 10 != a(X234) )
| ( X233 = X234 )
| ( X232 = X233 )
| ( X232 = X234 )
| ~ $less(X234,X232) )
& ! [X117: $int,X119: $int,X118: $int] :
( ~ $less(X118,X119)
| ( X117 = X119 )
| ( 1 != a(X119) )
| ( 7 != a(X117) )
| ( 10 != a(X118) )
| ( X117 = X118 )
| ( 2 != b(X118) )
| ~ $less(b(X117),4)
| ( 5 != b(X119) )
| ( X118 = X119 ) )
& ! [X142: $int,X141: $int,X140: $int] :
( ( 2 != b(X141) )
| ~ $less(X142,X140)
| ( X140 = X141 )
| ( 10 != a(X142) )
| ( X140 = X142 )
| ~ $less(b(X142),3)
| ( X141 = X142 )
| ( 2 != a(X140) )
| ( 8 != a(X141) ) )
& ! [X26: $int,X25: $int,X27: $int,X28: $int] :
( ( X25 = X27 )
| ( X26 = X28 )
| ( X26 = X27 )
| ( X27 = X28 )
| ~ $less(X25,X26)
| ( 2 != a(X26) )
| ( 7 != a(X27) )
| ~ $less(b(X27),4)
| ( X25 = X28 )
| ( 2 != b(X25) )
| ( 5 != b(X28) )
| ( X25 = X26 )
| ( 10 != a(X25) ) )
& ! [X136: $int,X135: $int,X134: $int] :
( ( 10 != a(X135) )
| ( 4 != a(X136) )
| ( X135 = X136 )
| ( 2 != b(X135) )
| ( X134 = X136 )
| ( 5 != b(X134) )
| ~ $less(X135,X134)
| ( X134 = X135 )
| ( 5 != a(X134) ) )
& ! [X62: $int,X63: $int,X64: $int] :
( ( 2 != b(X62) )
| ( 10 != a(X62) )
| ~ $less(X62,X63)
| ( X63 = X64 )
| ( X62 = X64 )
| ( 12 != a(X63) )
| ( X62 = X63 )
| ( 5 != b(X63) )
| ( 6 != a(X64) ) )
& ( z1 != z4 )
& ! [X97: $int,X96: $int,X98: $int] :
( ( 4 != a(X98) )
| ( 4 != a(X97) )
| ( 5 != b(X98) )
| ( X97 = X98 )
| ( X96 = X97 )
| ~ $less(X96,X98)
| ( 10 != a(X96) )
| ( 2 != b(X96) )
| ( X96 = X98 ) )
& ! [X271: $int,X269: $int,X270: $int] :
( ( 5 != a(X269) )
| ( 2 != b(X271) )
| ( 10 != a(X271) )
| ( 2 != a(X270) )
| ( X269 = X271 )
| ( X270 = X271 )
| ( X269 = X270 )
| ~ $less(X271,X270)
| ( 5 != b(X270) ) )
& ( b(z1) = 5 )
& ! [X120: $int,X122: $int,X121: $int] :
( ( 2 != a(X120) )
| ( X120 = X121 )
| ( 6 != a(X122) )
| ( 10 != a(X121) )
| ( X121 = X122 )
| ( 2 != b(X121) )
| ( 5 != b(X120) )
| ~ $less(X121,X120)
| ( X120 = X122 ) )
& ! [X299: $int,X297: $int,X298: $int] :
( ( X298 = X299 )
| ( 2 != b(X299) )
| ( 10 != a(X299) )
| ~ $less(X299,X297)
| ( 8 != a(X298) )
| ~ $less(b(X298),4)
| ( X297 = X298 )
| ( 12 != a(X297) )
| ( X297 = X299 ) )
& ! [X67: $int,X66: $int,X65: $int] :
( ( X65 = X67 )
| ( 1 != a(X66) )
| ( 5 != b(X66) )
| ( 5 != a(X65) )
| ( 2 != b(X67) )
| ( X66 = X67 )
| ( X65 = X66 )
| ( 10 != a(X67) )
| ~ $less(X67,X66) )
& ! [X40: $int,X39: $int,X41: $int] :
( ( 10 != a(X39) )
| ( 2 != b(X41) )
| ~ $less(b(X39),3)
| ( X40 = X41 )
| ( X39 = X41 )
| ( 8 != a(X41) )
| ( X39 = X40 )
| ~ $less(X39,X40)
| ( 5 != a(X40) ) )
& ! [X282: $int,X281: $int,X284: $int,X283: $int] :
( ( X283 = X284 )
| ( 5 != a(X282) )
| ( X281 = X283 )
| ( X282 = X284 )
| ( X282 = X283 )
| ( 10 != a(X281) )
| ~ $less(b(X281),3)
| ( 5 != b(X282) )
| ( 7 != a(X284) )
| ( X281 = X284 )
| ( X281 = X282 )
| ( 2 != b(X283) )
| ~ $less(X281,X282) )
& ! [X272: $int,X273: $int,X274: $int] :
( ( 6 != a(X274) )
| ( X272 = X274 )
| ( 5 != b(X273) )
| ~ $less(b(X272),3)
| ( X272 = X273 )
| ( 10 != a(X272) )
| ( X273 = X274 )
| ~ $less(X272,X274) )
& ! [X176: $int,X175: $int,X174: $int] :
( ( X174 = X175 )
| ( 8 != a(X176) )
| ( 10 != a(X174) )
| ( X175 = X176 )
| ( 4 != a(X175) )
| ~ $less(X174,X175)
| ( 2 != b(X174) )
| ( X174 = X176 ) )
& ( z2 != z4 )
& ( a(z4) = 5 )
& ! [X81: $int,X82: $int,X83: $int] :
( ( 2 != b(X82) )
| ( 5 != a(X81) )
| ( X81 = X83 )
| ~ $less(b(X83),3)
| ( X81 = X82 )
| ( 10 != a(X83) )
| ( 5 != b(X81) )
| ( X82 = X83 )
| ( 7 != a(X82) )
| ~ $less(X83,X81) )
& ! [X214: $int,X215: $int,X213: $int,X216: $int] :
( ( X213 = X216 )
| ( 10 != a(X214) )
| ( X214 = X216 )
| ( 7 != a(X215) )
| ( X214 = X215 )
| ( X213 = X215 )
| ( X213 = X214 )
| ( 5 != b(X213) )
| ~ $less(b(X214),3)
| ~ $less(X214,X213)
| ( 2 != b(X216) )
| ( 4 != a(X213) )
| ( X215 = X216 ) )
& ! [X172: $int,X173: $int,X171: $int] :
( ( 5 != a(X172) )
| ~ $less(X171,X172)
| ~ $less(b(X171),3)
| ( 10 != a(X171) )
| ( X171 = X173 )
| ( 2 != b(X173) )
| ( X171 = X172 )
| ( 6 != a(X173) )
| ( 5 != b(X172) )
| ( X172 = X173 ) )
& ! [X102: $int] :
( ~ $less(12,a(X102))
& ~ $less(a(X102),1) )
& ! [X163: $int,X161: $int,X162: $int,X160: $int] :
( ( 5 != b(X162) )
| ( 2 != a(X162) )
| ( 7 != a(X161) )
| ~ $less(b(X163),3)
| ( X161 = X162 )
| ( X162 = X163 )
| ~ $less(X163,X160)
| ( X160 = X162 )
| ( X160 = X163 )
| ( 5 != a(X160) )
| ( X160 = X161 )
| ( X161 = X163 )
| ( 10 != a(X163) ) )
& ! [X228: $int,X230: $int,X231: $int,X229: $int] :
( ( 5 != a(X228) )
| ( 5 != b(X228) )
| ( 7 != a(X231) )
| ( X229 = X230 )
| ( 10 != a(X229) )
| ( 2 != a(X230) )
| ( X230 = X231 )
| ( X228 = X231 )
| ( X229 = X231 )
| ~ $less(b(X229),3)
| ( X228 = X229 )
| ~ $less(X229,X228)
| ( X228 = X230 ) )
& ! [X278: $int,X280: $int,X279: $int] :
( ~ $less(X279,X278)
| ~ $less(b(X279),3)
| ( 10 != a(X279) )
| ( 8 != a(X280) )
| ( 2 != b(X280) )
| ( X279 = X280 )
| ( X278 = X279 )
| ( X278 = X280 )
| ~ $less(b(X278),4)
| ( 3 != a(X278) ) )
& ! [X87: $int,X86: $int,X88: $int] :
( ~ $less(b(X87),4)
| ~ $less(X86,X88)
| ( 10 != a(X86) )
| ( X87 = X88 )
| ( X86 = X88 )
| ( 2 != b(X86) )
| ( 8 != a(X87) )
| ( 1 != a(X88) )
| ( X86 = X87 ) )
& ( b(z3) = 2 )
& ( z2 != z3 )
& ! [X53: $int,X55: $int,X52: $int,X54: $int] :
( ( 2 != a(X55) )
| ( 10 != a(X52) )
| ( 5 != a(X53) )
| ( 8 != a(X54) )
| ( X52 = X53 )
| ( X54 = X55 )
| ~ $less(X52,X53)
| ( X52 = X55 )
| ~ $less(b(X52),3)
| ( X53 = X54 )
| ( X52 = X54 )
| ( X53 = X55 ) )
& ! [X101: $int,X100: $int,X99: $int] :
( ( 5 != a(X100) )
| ( X99 = X100 )
| ( 5 != b(X99) )
| ( 2 != b(X101) )
| ( X99 = X101 )
| ~ $less(X101,X100)
| ( 10 != a(X101) )
| ( X100 = X101 ) )
& ! [X30: $int,X32: $int,X29: $int,X31: $int] :
( ( 8 != a(X31) )
| ~ $less(X32,X30)
| ( X29 = X32 )
| ~ $less(b(X32),3)
| ( X29 = X31 )
| ( X29 = X30 )
| ( X31 = X32 )
| ( 10 != a(X32) )
| ( X30 = X31 )
| ( X30 = X32 )
| ( 2 != a(X29) )
| ( 4 != a(X30) ) )
& $less(z2,z1)
& ! [X200: $int,X197: $int,X198: $int,X199: $int] :
( ( X197 = X200 )
| ( X198 = X199 )
| ~ $less(b(X198),3)
| ( X197 = X199 )
| ( X199 = X200 )
| ( 5 != a(X200) )
| ( 2 != a(X197) )
| ~ $less(X198,X200)
| ( X197 = X198 )
| ( 5 != b(X199) )
| ( X198 = X200 )
| ( 10 != a(X198) ) ) ),
inference(flattening,[],[f6]) ).
tff(f8,plain,
( ! [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( X1 = X3 )
| ( X0 = X2 )
| ( 4 != a(X3) )
| ( X2 = X3 )
| ( X0 = X1 )
| ( 10 != a(X1) )
| ( a(X0) != 8 )
| ( X1 = X2 )
| ( X0 = X3 )
| ~ $less(b(X1),3)
| ~ $less(X1,X3)
| ( b(X2) != 2 ) )
& ! [X4: $int,X5: $int,X6: $int,X7: $int] :
( ~ $less(b(X4),3)
| ( X4 = X5 )
| ( 5 != a(X6) )
| ( 5 != b(X7) )
| ( 10 != a(X4) )
| ( 2 != b(X5) )
| ( X5 = X6 )
| ( X6 = X7 )
| ~ $less(X4,X6)
| ( X5 = X7 )
| ( X4 = X6 )
| ( X4 = X7 ) )
& ! [X8: $int,X9: $int,X10: $int] :
( ( 1 != a(X9) )
| ( X9 = X10 )
| ~ $less(X10,X9)
| ( 5 != b(X9) )
| ( 6 != a(X8) )
| ( X8 = X9 )
| ( 2 != b(X10) )
| ( X8 = X10 )
| ( 10 != a(X10) ) )
& ! [X11: $int,X12: $int,X13: $int,X14: $int] :
( ( 4 != a(X13) )
| ( X13 = X14 )
| ( 10 != a(X12) )
| ( 2 != b(X11) )
| ( X11 = X12 )
| ( 5 != b(X14) )
| ( X11 = X14 )
| ~ $less(X12,X13)
| ( X11 = X13 )
| ~ $less(b(X12),3)
| ( X12 = X14 )
| ( X12 = X13 ) )
& ! [X15: $int,X16: $int,X17: $int,X18: $int] :
( ( X16 = X18 )
| ~ $less(X17,X18)
| ( 2 != b(X15) )
| ( X16 = X17 )
| ( 7 != a(X15) )
| ( X17 = X18 )
| ~ $less(b(X17),3)
| ( 10 != a(X17) )
| ( X15 = X18 )
| ( X15 = X16 )
| ( 2 != a(X18) )
| ( X15 = X17 )
| ( 5 != b(X16) ) )
& ! [X19: $int,X20: $int,X21: $int] :
( ( X19 = X21 )
| ( 7 != a(X19) )
| ~ $less(X20,X19)
| ( X20 = X21 )
| ( 4 != a(X21) )
| ( X19 = X20 )
| ( 10 != a(X20) )
| ( 5 != b(X19) )
| ( 2 != b(X20) ) )
& ! [X22: $int,X23: $int,X24: $int,X25: $int] :
( ~ $less(X22,X25)
| ( X22 = X25 )
| ( 10 != a(X22) )
| ~ $less(b(X22),3)
| ( X23 = X24 )
| ( 5 != a(X25) )
| ( X22 = X23 )
| ( 2 != b(X23) )
| ( X24 = X25 )
| ( X23 = X25 )
| ( X22 = X24 )
| ( 8 != a(X24) ) )
& ! [X26: $int,X27: $int,X28: $int,X29: $int] :
( ( 5 != b(X28) )
| ( X27 = X29 )
| ~ $less(X29,X26)
| ( X26 = X27 )
| ( 5 != a(X26) )
| ( X26 = X28 )
| ( X26 = X29 )
| ( X27 = X28 )
| ~ $less(b(X29),3)
| ( 12 != a(X27) )
| ( X28 = X29 )
| ( 10 != a(X29) ) )
& ! [X30: $int,X31: $int,X32: $int] :
( ( 2 != b(X31) )
| ( X30 = X32 )
| ( X30 = X31 )
| ( 5 != b(X32) )
| ( 10 != a(X31) )
| ( X31 = X32 )
| ~ $less(X31,X30)
| ( 4 != a(X30) ) )
& ( z1 != z3 )
& ! [X33: $int,X34: $int] :
( ( 10 != a(X33) )
| ~ $less(X33,X34)
| ~ $less(b(X33),3)
| ( X33 = X34 )
| ( 9 != a(X34) ) )
& ! [X35: $int,X36: $int,X37: $int,X38: $int] :
( ( 8 != a(X36) )
| ( X37 = X38 )
| ( X35 = X37 )
| ( X35 = X36 )
| ( X35 = X38 )
| ~ $less(X38,X37)
| ( X36 = X37 )
| ( 3 != a(X37) )
| ~ $less(b(X36),4)
| ( 2 != b(X35) )
| ( X36 = X38 )
| ( 10 != a(X38) )
| ~ $less(b(X38),3)
| ~ $less(b(X37),4) )
& ! [X39: $int,X40: $int,X41: $int,X42: $int] :
( ( 7 != a(X40) )
| ( 12 != a(X39) )
| ( X40 = X41 )
| ( X39 = X41 )
| ( X40 = X42 )
| ( 2 != b(X40) )
| ( X41 = X42 )
| ( 5 != b(X42) )
| ( 10 != a(X41) )
| ~ $less(X41,X39)
| ~ $less(b(X41),3)
| ( X39 = X40 )
| ( X39 = X42 ) )
& ! [X43: $int,X44: $int,X45: $int] :
( ~ $less(b(X43),3)
| ( 5 != b(X44) )
| ( 2 != b(X45) )
| ( X44 = X45 )
| ~ $less(X43,X44)
| ( 4 != a(X44) )
| ( X43 = X45 )
| ( X43 = X44 )
| ( 10 != a(X43) )
| ( 7 != a(X45) ) )
& ! [X46: $int,X47: $int,X48: $int] :
( ( X46 = X48 )
| ( 2 != b(X48) )
| ( 5 != b(X47) )
| ( 5 != a(X46) )
| ~ $less(X48,X47)
| ( 10 != a(X48) )
| ( 5 != a(X47) )
| ( X46 = X47 )
| ( X47 = X48 ) )
& ! [X49: $int,X50: $int,X51: $int,X52: $int] :
( ( X50 = X51 )
| ( X51 = X52 )
| ~ $less(b(X52),3)
| ~ $less(X52,X50)
| ( 6 != a(X49) )
| ( 10 != a(X52) )
| ( 2 != a(X51) )
| ( 5 != a(X50) )
| ( X49 = X52 )
| ( X49 = X51 )
| ( X50 = X52 )
| ( X49 = X50 )
| ( 5 != b(X50) ) )
& ( z3 != z5 )
& ! [X53: $int,X54: $int,X55: $int,X56: $int] :
( ( X55 = X56 )
| ( X53 = X56 )
| ( 5 != a(X55) )
| ( X54 = X56 )
| ~ $less(X54,X56)
| ~ $less(b(X54),3)
| ( 10 != a(X54) )
| ( X53 = X55 )
| ( 5 != b(X56) )
| ( X54 = X55 )
| ( 2 != b(X55) )
| ( 5 != a(X56) )
| ( X53 = X54 )
| ( 2 != b(X53) ) )
& ! [X57: $int,X58: $int,X59: $int] :
( ( 5 != b(X57) )
| ( 6 != a(X59) )
| ( X57 = X58 )
| ~ $less(b(X58),3)
| ( 10 != a(X58) )
| ( X57 = X59 )
| ~ $less(X58,X57)
| ( 7 != a(X57) )
| ( X58 = X59 ) )
& ! [X60: $int,X61: $int] :
( ( 10 != a(X61) )
| ( X60 = X61 )
| ( 10 != a(X60) ) )
& ! [X62: $int,X63: $int,X64: $int,X65: $int] :
( ( 7 != a(X65) )
| ( 5 != b(X65) )
| ~ $less(b(X63),3)
| ( X62 = X65 )
| ( X62 = X64 )
| ( X63 = X65 )
| ( 10 != a(X63) )
| ( X62 = X63 )
| ( X64 = X65 )
| ( X63 = X64 )
| ( 5 != a(X64) )
| ~ $less(X63,X65)
| ( 2 != b(X62) ) )
& ! [X66: $int,X67: $int,X68: $int] :
( ( 10 != a(X66) )
| ( 5 != b(X68) )
| ( X67 = X68 )
| ~ $less(b(X66),3)
| ( X66 = X68 )
| ( 7 != a(X67) )
| ~ $less(X66,X67)
| ( X66 = X67 ) )
& ! [X69: $int,X70: $int,X71: $int,X72: $int] :
( ( X69 = X72 )
| ( 5 != b(X72) )
| ( 4 != a(X69) )
| ( X69 = X70 )
| ( X70 = X72 )
| ( X70 = X71 )
| ( 7 != a(X71) )
| ( 10 != a(X70) )
| ( 2 != b(X71) )
| ( X69 = X71 )
| ~ $less(X70,X69)
| ~ $less(b(X70),3)
| ( X71 = X72 ) )
& ! [X73: $int,X74: $int,X75: $int] :
( ( X73 = X75 )
| ( 7 != a(X75) )
| ( 10 != a(X74) )
| ( 5 != b(X73) )
| ( X74 = X75 )
| ( 7 != a(X73) )
| ( X73 = X74 )
| ~ $less(b(X74),3)
| ~ $less(X74,X73) )
& ! [X76: $int,X77: $int,X78: $int,X79: $int] :
( ( 5 != b(X79) )
| ~ $less(b(X78),3)
| ( 4 != a(X76) )
| ( X76 = X77 )
| ( X76 = X78 )
| ( X78 = X79 )
| ( X77 = X79 )
| ~ $less(X78,X76)
| ( X76 = X79 )
| ( 10 != a(X78) )
| ( X77 = X78 )
| ( 2 != a(X77) ) )
& ! [X80: $int,X81: $int,X82: $int] :
( ~ $less(X80,X82)
| ( 5 != b(X82) )
| ( 1 != a(X82) )
| ~ $less(b(X80),3)
| ( X80 = X81 )
| ( 10 != a(X80) )
| ( X81 = X82 )
| ( 7 != a(X81) )
| ( 2 != b(X81) )
| ( X80 = X82 ) )
& ! [X83: $int,X84: $int] :
( ( 8 != a(X83) )
| ( 10 != a(X84) )
| ~ $less(X84,X83)
| ( X83 = X84 )
| ~ $less(b(X84),3) )
& ( z4 != z5 )
& ! [X85: $int,X86: $int,X87: $int] :
( ( 8 != a(X87) )
| ( X86 = X87 )
| ( 4 != a(X86) )
| ( 10 != a(X85) )
| ~ $less(X85,X86)
| ( X85 = X87 )
| ( X85 = X86 )
| ( 2 != b(X87) )
| ~ $less(b(X85),3) )
& ! [X88: $int,X89: $int,X90: $int] :
( ( X89 = X90 )
| ( X88 = X89 )
| ( 10 != a(X90) )
| ( X88 = X90 )
| ( 4 != a(X88) )
| ( 5 != a(X89) )
| ( 5 != b(X88) )
| ~ $less(X90,X88)
| ( 2 != b(X90) ) )
& ! [X91: $int] :
( ~ $less(b(X91),1)
& ~ $less(5,b(X91)) )
& ( a(z1) = 5 )
& ! [X92: $int,X93: $int,X94: $int] :
( ( X92 = X94 )
| ~ $less(X93,X94)
| ( X93 = X94 )
| ( 2 != a(X94) )
| ( 5 != b(X94) )
| ( 2 != b(X92) )
| ( 7 != a(X92) )
| ~ $less(b(X93),3)
| ( X92 = X93 )
| ( 10 != a(X93) ) )
& ! [X95: $int,X96: $int,X97: $int] :
( ( 4 != a(X95) )
| ( 1 != a(X97) )
| ( X95 = X96 )
| ( X95 = X97 )
| ( 10 != a(X96) )
| ( 2 != b(X96) )
| ~ $less(X96,X97)
| ( 5 != b(X97) )
| ( X96 = X97 ) )
& ! [X98: $int,X99: $int,X100: $int] :
( ( 5 != b(X99) )
| ( 7 != a(X98) )
| ( X99 = X100 )
| ( 10 != a(X100) )
| ( 2 != b(X100) )
| ( X98 = X100 )
| ( 4 != a(X99) )
| ( X98 = X99 )
| ~ $less(X100,X99) )
& ( b(z4) = 2 )
& ( a(z3) = 6 )
& ! [X101: $int,X102: $int,X103: $int] :
( ( 5 != b(X101) )
| ( 4 != a(X103) )
| ( X101 = X103 )
| ( 12 != a(X101) )
| ( 10 != a(X102) )
| ( 2 != b(X102) )
| ( X101 = X102 )
| ( X102 = X103 )
| ~ $less(X102,X101) )
& ! [X104: $int,X105: $int,X106: $int] :
( ~ $less(b(X104),4)
| ~ $less(X106,X105)
| ( 10 != a(X106) )
| ( 7 != a(X104) )
| ( 5 != b(X105) )
| ( X105 = X106 )
| ( 2 != b(X106) )
| ( X104 = X106 )
| ( 12 != a(X105) )
| ( X104 = X105 ) )
& ! [X107: $int,X108: $int,X109: $int,X110: $int] :
( ( 1 != a(X108) )
| ( X109 = X110 )
| ( X107 = X108 )
| ( X107 = X110 )
| ( 10 != a(X109) )
| ( 4 != a(X110) )
| ~ $less(b(X109),3)
| ( 5 != b(X107) )
| ( X108 = X110 )
| ~ $less(X109,X110)
| ( X108 = X109 )
| ( X107 = X109 ) )
& ( z1 != z2 )
& ! [X111: $int,X112: $int,X113: $int] :
( ( 10 != a(X112) )
| ( 2 != b(X112) )
| ( 4 != a(X111) )
| ( X112 = X113 )
| ( 5 != b(X113) )
| ( X111 = X113 )
| ( X111 = X112 )
| ~ $less(X112,X113)
| ( 2 != a(X113) ) )
& ! [X114: $int,X115: $int,X116: $int] :
( ( 2 != b(X116) )
| ~ $less(b(X114),3)
| ( 12 != a(X115) )
| ( X114 = X116 )
| ~ $less(X114,X115)
| ( 5 != b(X115) )
| ( X115 = X116 )
| ( 7 != a(X116) )
| ( 10 != a(X114) )
| ( X114 = X115 ) )
& ! [X117: $int,X118: $int,X119: $int] :
( ~ $less(X118,X119)
| ( 2 != b(X118) )
| ~ $less(b(X117),4)
| ( X117 = X118 )
| ~ $less(b(X119),4)
| ( X117 = X119 )
| ( 8 != a(X117) )
| ( 3 != a(X119) )
| ( X118 = X119 )
| ( 10 != a(X118) ) )
& ( z3 != z4 )
& ! [X120: $int,X121: $int,X122: $int] :
( ( 5 != a(X120) )
| ( X120 = X121 )
| ( 2 != b(X122) )
| ~ $less(X122,X120)
| ( 10 != a(X122) )
| ( 6 != a(X121) )
| ( X120 = X122 )
| ( X121 = X122 )
| ( 5 != b(X120) ) )
& ! [X123: $int,X124: $int,X125: $int,X126: $int] :
( ( X124 = X125 )
| ( 5 != b(X125) )
| ~ $less(b(X124),3)
| ( X123 = X125 )
| ( X125 = X126 )
| ~ $less(X124,X125)
| ( X123 = X124 )
| ( 2 != b(X123) )
| ( X124 = X126 )
| ( 5 != a(X125) )
| ( X123 = X126 )
| ( 10 != a(X124) )
| ( 6 != a(X126) ) )
& ! [X127: $int,X128: $int,X129: $int] :
( ( 10 != a(X129) )
| ( X127 = X129 )
| ~ $less(X129,X128)
| ( 2 != b(X129) )
| ( 4 != a(X128) )
| ( 5 != b(X128) )
| ( X127 = X128 )
| ( 6 != a(X127) )
| ( X128 = X129 ) )
& ! [X130: $int,X131: $int,X132: $int,X133: $int] :
( ( X130 = X131 )
| ( X131 = X132 )
| ( 5 != a(X133) )
| ( X130 = X133 )
| ~ $less(b(X132),3)
| ( X132 = X133 )
| ( 5 != a(X130) )
| ( 10 != a(X132) )
| ~ $less(X132,X133)
| ( X130 = X132 )
| ( X131 = X133 )
| ( 2 != b(X131) )
| ( 5 != b(X133) ) )
& ! [X134: $int,X135: $int,X136: $int,X137: $int] :
( ( X136 = X137 )
| ( 5 != b(X136) )
| ( 7 != a(X136) )
| ( X134 = X137 )
| ( 2 != a(X135) )
| ( 10 != a(X137) )
| ( X135 = X137 )
| ( X134 = X136 )
| ( X135 = X136 )
| ~ $less(X137,X136)
| ( X134 = X135 )
| ( 5 != a(X134) )
| ~ $less(b(X137),3) )
& ! [X138: $int,X139: $int,X140: $int] :
( ( 2 != b(X139) )
| ( 8 != a(X139) )
| ( X139 = X140 )
| ( X138 = X140 )
| ~ $less(X138,X140)
| ~ $less(b(X138),3)
| ( 12 != a(X140) )
| ( 10 != a(X138) )
| ( X138 = X139 ) )
& ! [X141: $int,X142: $int,X143: $int,X144: $int] :
( ( 5 != b(X143) )
| ( X143 = X144 )
| ( X142 = X144 )
| ( X141 = X143 )
| ( X142 = X143 )
| ~ $less(X144,X141)
| ( 10 != a(X144) )
| ( X141 = X144 )
| ( 7 != a(X142) )
| ( X141 = X142 )
| ~ $less(b(X142),4)
| ( 2 != b(X144) )
| ( 12 != a(X141) ) )
& ! [X145: $int,X146: $int,X147: $int,X148: $int] :
( ~ $less(X148,X145)
| ( 10 != a(X148) )
| ( X145 = X146 )
| ( 7 != a(X146) )
| ( 5 != b(X147) )
| ( 2 != b(X148) )
| ( X146 = X147 )
| ~ $less(b(X146),4)
| ( 1 != a(X145) )
| ( X147 = X148 )
| ( X145 = X148 )
| ( X146 = X148 )
| ( X145 = X147 ) )
& ! [X149: $int,X150: $int,X151: $int] :
( ~ $less(X150,X151)
| ( 5 != b(X151) )
| ( 12 != a(X151) )
| ( 5 != a(X149) )
| ( 10 != a(X150) )
| ( 2 != b(X150) )
| ( X149 = X151 )
| ( X150 = X151 )
| ( X149 = X150 ) )
& ! [X152: $int,X153: $int,X154: $int,X155: $int] :
( ( X152 = X155 )
| ( 1 != a(X153) )
| ( 2 != b(X152) )
| ( 10 != a(X155) )
| ( 5 != b(X154) )
| ~ $less(b(X155),3)
| ( X153 = X154 )
| ( X152 = X154 )
| ~ $less(X155,X153)
| ( X154 = X155 )
| ( 7 != a(X152) )
| ( X153 = X155 )
| ( X152 = X153 ) )
& ! [X156: $int,X157: $int,X158: $int,X159: $int] :
( ( X157 = X158 )
| ( X156 = X158 )
| ( X156 = X159 )
| ~ $less(b(X156),4)
| ~ $less(b(X157),3)
| ( X157 = X159 )
| ( 10 != a(X157) )
| ( 3 != a(X156) )
| ( X158 = X159 )
| ( X156 = X157 )
| ( 2 != b(X159) )
| ( 5 != b(X158) )
| ( 7 != a(X159) )
| ~ $less(X157,X156) )
& ! [X160: $int,X161: $int,X162: $int] :
( ( 10 != a(X162) )
| ( 6 != a(X161) )
| ( 7 != a(X160) )
| ( X160 = X161 )
| ( 5 != b(X161) )
| ( X160 = X162 )
| ~ $less(X162,X161)
| ~ $less(b(X162),3)
| ( X161 = X162 ) )
& ! [X163: $int,X164: $int,X165: $int] :
( ~ $less(b(X164),3)
| ( 8 != a(X165) )
| ( 10 != a(X164) )
| ( X164 = X165 )
| ( X163 = X164 )
| ( 7 != a(X163) )
| ~ $less(X164,X163)
| ( X163 = X165 ) )
& $less(b(z2),3)
& ! [X166: $int,X167: $int,X168: $int,X169: $int] :
( ( X168 = X169 )
| ( X167 = X169 )
| ( 10 != a(X169) )
| ~ $less(b(X169),3)
| ( X166 = X169 )
| ( X166 = X168 )
| ( 5 != b(X167) )
| ( 6 != a(X167) )
| ~ $less(X169,X167)
| ( X167 = X168 )
| ( 2 != b(X166) )
| ( 5 != a(X168) )
| ( X166 = X167 ) )
& ! [X170: $int,X171: $int,X172: $int] :
( ( X170 = X172 )
| ~ $less(X172,X171)
| ( X171 = X172 )
| ( 5 != a(X170) )
| ( 7 != a(X171) )
| ( 5 != b(X171) )
| ( X170 = X171 )
| ( 10 != a(X172) )
| ( 2 != b(X172) ) )
& ! [X173: $int,X174: $int,X175: $int] :
( ( X173 = X175 )
| ~ $less(X175,X173)
| ( 2 != b(X175) )
| ( X174 = X175 )
| ~ $less(b(X174),4)
| ( X173 = X174 )
| ( 10 != a(X175) )
| ( 8 != a(X174) )
| ( 2 != a(X173) ) )
& ( z1 != z5 )
& ! [X176: $int,X177: $int,X178: $int] :
( ( X176 = X177 )
| ( 6 != a(X176) )
| ( X176 = X178 )
| ~ $less(X178,X176)
| ( 8 != a(X177) )
| ( 10 != a(X178) )
| ~ $less(b(X178),3)
| ( X177 = X178 ) )
& ( z2 != z5 )
& ! [X179: $int,X180: $int,X181: $int] :
( ( 5 != b(X181) )
| ( X179 = X181 )
| ( 2 != b(X180) )
| ( X180 = X181 )
| ~ $less(X180,X181)
| ( X179 = X180 )
| ( 10 != a(X180) )
| ( 6 != a(X181) )
| ( 4 != a(X179) ) )
& ! [X182: $int,X183: $int,X184: $int] :
( ( 10 != a(X182) )
| ( X182 = X183 )
| ( 2 != a(X183) )
| ( 2 != b(X182) )
| ( 7 != a(X184) )
| ~ $less(X182,X183)
| ~ $less(b(X184),4)
| ( X183 = X184 )
| ( 5 != b(X183) )
| ( X182 = X184 ) )
& ! [X185: $int,X186: $int,X187: $int] :
( ( 6 != a(X187) )
| ~ $less(b(X185),3)
| ( X186 = X187 )
| ( 10 != a(X185) )
| ( X185 = X187 )
| ( X185 = X186 )
| ( 5 != b(X186) )
| ~ $less(X185,X186)
| ( 6 != a(X186) ) )
& ! [X188: $int,X189: $int,X190: $int] :
( ( 2 != b(X190) )
| ( X188 = X190 )
| ( X188 = X189 )
| ( 6 != a(X188) )
| ( 5 != b(X188) )
| ( 5 != a(X189) )
| ~ $less(X190,X188)
| ( 10 != a(X190) )
| ( X189 = X190 ) )
& ( a(z2) = 10 )
& ! [X191: $int,X192: $int,X193: $int,X194: $int] :
( ~ $less(X192,X193)
| ( 2 != b(X194) )
| ( X191 = X192 )
| ( X193 = X194 )
| ( X191 = X193 )
| ( X191 = X194 )
| ( 4 != a(X191) )
| ( 7 != a(X193) )
| ( X192 = X193 )
| ~ $less(b(X192),3)
| ( 5 != b(X193) )
| ( X192 = X194 )
| ( 10 != a(X192) ) )
& ! [X195: $int,X196: $int,X197: $int] :
( ( X195 = X196 )
| ~ $less(X197,X196)
| ( 2 != b(X195) )
| ( 8 != a(X195) )
| ( X196 = X197 )
| ( 1 != a(X196) )
| ( 10 != a(X197) )
| ~ $less(b(X197),3)
| ( X195 = X197 ) )
& ! [X198: $int,X199: $int,X200: $int,X201: $int] :
( ~ $less(b(X200),4)
| ( 10 != a(X199) )
| ~ $less(X199,X201)
| ( 3 != a(X201) )
| ( X199 = X201 )
| ~ $less(b(X201),4)
| ( X199 = X200 )
| ( 7 != a(X200) )
| ( X198 = X201 )
| ( X198 = X200 )
| ( X200 = X201 )
| ( 2 != b(X199) )
| ( X198 = X199 )
| ( 5 != b(X198) ) )
& ! [X202: $int,X203: $int,X204: $int,X205: $int] :
( ( X202 = X203 )
| ( X204 = X205 )
| ~ $less(X205,X202)
| ( 10 != a(X205) )
| ( X203 = X204 )
| ( 8 != a(X204) )
| ( X203 = X205 )
| ( X202 = X205 )
| ( X202 = X204 )
| ~ $less(b(X205),3)
| ( 5 != a(X202) )
| ( 1 != a(X203) ) )
& ! [X206: $int,X207: $int,X208: $int,X209: $int] :
( ( 5 != a(X207) )
| ( 1 != a(X209) )
| ( X208 = X209 )
| ( 5 != b(X206) )
| ~ $less(X208,X207)
| ( 10 != a(X208) )
| ( X206 = X207 )
| ~ $less(b(X208),3)
| ( X206 = X208 )
| ( X207 = X208 )
| ( X207 = X209 )
| ( X206 = X209 ) )
& ! [X210: $int,X211: $int,X212: $int] :
( ( X210 = X212 )
| ( X210 = X211 )
| ( 5 != b(X212) )
| ( 10 != a(X210) )
| ( 2 != b(X210) )
| ~ $less(X210,X212)
| ( X211 = X212 )
| ( 7 != a(X211) )
| ( 5 != a(X212) ) )
& ! [X213: $int,X214: $int,X215: $int] :
( ( 2 != b(X215) )
| ( 8 != a(X214) )
| ( 5 != a(X213) )
| ( 10 != a(X215) )
| ( X214 = X215 )
| ( X213 = X214 )
| ( X213 = X215 )
| ~ $less(X215,X213) )
& ! [X216: $int,X217: $int,X218: $int] :
( ~ $less(X218,X217)
| ( X216 = X217 )
| ( 1 != a(X217) )
| ( 7 != a(X216) )
| ( 10 != a(X218) )
| ( X216 = X218 )
| ( 2 != b(X218) )
| ~ $less(b(X216),4)
| ( 5 != b(X217) )
| ( X217 = X218 ) )
& ! [X219: $int,X220: $int,X221: $int] :
( ( 2 != b(X220) )
| ~ $less(X219,X221)
| ( X220 = X221 )
| ( 10 != a(X219) )
| ( X219 = X221 )
| ~ $less(b(X219),3)
| ( X219 = X220 )
| ( 2 != a(X221) )
| ( 8 != a(X220) ) )
& ! [X222: $int,X223: $int,X224: $int,X225: $int] :
( ( X223 = X224 )
| ( X222 = X225 )
| ( X222 = X224 )
| ( X224 = X225 )
| ~ $less(X223,X222)
| ( 2 != a(X222) )
| ( 7 != a(X224) )
| ~ $less(b(X224),4)
| ( X223 = X225 )
| ( 2 != b(X223) )
| ( 5 != b(X225) )
| ( X222 = X223 )
| ( 10 != a(X223) ) )
& ! [X226: $int,X227: $int,X228: $int] :
( ( 10 != a(X227) )
| ( 4 != a(X226) )
| ( X226 = X227 )
| ( 2 != b(X227) )
| ( X226 = X228 )
| ( 5 != b(X228) )
| ~ $less(X227,X228)
| ( X227 = X228 )
| ( 5 != a(X228) ) )
& ! [X229: $int,X230: $int,X231: $int] :
( ( 2 != b(X229) )
| ( 10 != a(X229) )
| ~ $less(X229,X230)
| ( X230 = X231 )
| ( X229 = X231 )
| ( 12 != a(X230) )
| ( X229 = X230 )
| ( 5 != b(X230) )
| ( 6 != a(X231) ) )
& ( z1 != z4 )
& ! [X232: $int,X233: $int,X234: $int] :
( ( 4 != a(X234) )
| ( 4 != a(X232) )
| ( 5 != b(X234) )
| ( X232 = X234 )
| ( X232 = X233 )
| ~ $less(X233,X234)
| ( 10 != a(X233) )
| ( 2 != b(X233) )
| ( X233 = X234 ) )
& ! [X235: $int,X236: $int,X237: $int] :
( ( 5 != a(X236) )
| ( 2 != b(X235) )
| ( 10 != a(X235) )
| ( 2 != a(X237) )
| ( X235 = X236 )
| ( X235 = X237 )
| ( X236 = X237 )
| ~ $less(X235,X237)
| ( 5 != b(X237) ) )
& ( b(z1) = 5 )
& ! [X238: $int,X239: $int,X240: $int] :
( ( 2 != a(X238) )
| ( X238 = X240 )
| ( 6 != a(X239) )
| ( 10 != a(X240) )
| ( X239 = X240 )
| ( 2 != b(X240) )
| ( 5 != b(X238) )
| ~ $less(X240,X238)
| ( X238 = X239 ) )
& ! [X241: $int,X242: $int,X243: $int] :
( ( X241 = X243 )
| ( 2 != b(X241) )
| ( 10 != a(X241) )
| ~ $less(X241,X242)
| ( 8 != a(X243) )
| ~ $less(b(X243),4)
| ( X242 = X243 )
| ( 12 != a(X242) )
| ( X241 = X242 ) )
& ! [X244: $int,X245: $int,X246: $int] :
( ( X244 = X246 )
| ( 1 != a(X245) )
| ( 5 != b(X245) )
| ( 5 != a(X246) )
| ( 2 != b(X244) )
| ( X244 = X245 )
| ( X245 = X246 )
| ( 10 != a(X244) )
| ~ $less(X244,X245) )
& ! [X247: $int,X248: $int,X249: $int] :
( ( 10 != a(X248) )
| ( 2 != b(X249) )
| ~ $less(b(X248),3)
| ( X247 = X249 )
| ( X248 = X249 )
| ( 8 != a(X249) )
| ( X247 = X248 )
| ~ $less(X248,X247)
| ( 5 != a(X247) ) )
& ! [X250: $int,X251: $int,X252: $int,X253: $int] :
( ( X252 = X253 )
| ( 5 != a(X250) )
| ( X251 = X253 )
| ( X250 = X252 )
| ( X250 = X253 )
| ( 10 != a(X251) )
| ~ $less(b(X251),3)
| ( 5 != b(X250) )
| ( 7 != a(X252) )
| ( X251 = X252 )
| ( X250 = X251 )
| ( 2 != b(X253) )
| ~ $less(X251,X250) )
& ! [X254: $int,X255: $int,X256: $int] :
( ( 6 != a(X256) )
| ( X254 = X256 )
| ( 5 != b(X255) )
| ~ $less(b(X254),3)
| ( X254 = X255 )
| ( 10 != a(X254) )
| ( X255 = X256 )
| ~ $less(X254,X256) )
& ! [X257: $int,X258: $int,X259: $int] :
( ( X258 = X259 )
| ( 8 != a(X257) )
| ( 10 != a(X259) )
| ( X257 = X258 )
| ( 4 != a(X258) )
| ~ $less(X259,X258)
| ( 2 != b(X259) )
| ( X257 = X259 ) )
& ( z2 != z4 )
& ( a(z4) = 5 )
& ! [X260: $int,X261: $int,X262: $int] :
( ( 2 != b(X261) )
| ( 5 != a(X260) )
| ( X260 = X262 )
| ~ $less(b(X262),3)
| ( X260 = X261 )
| ( 10 != a(X262) )
| ( 5 != b(X260) )
| ( X261 = X262 )
| ( 7 != a(X261) )
| ~ $less(X262,X260) )
& ! [X263: $int,X264: $int,X265: $int,X266: $int] :
( ( X265 = X266 )
| ( 10 != a(X263) )
| ( X263 = X266 )
| ( 7 != a(X264) )
| ( X263 = X264 )
| ( X264 = X265 )
| ( X263 = X265 )
| ( 5 != b(X265) )
| ~ $less(b(X263),3)
| ~ $less(X263,X265)
| ( 2 != b(X266) )
| ( 4 != a(X265) )
| ( X264 = X266 ) )
& ! [X267: $int,X268: $int,X269: $int] :
( ( 5 != a(X267) )
| ~ $less(X269,X267)
| ~ $less(b(X269),3)
| ( 10 != a(X269) )
| ( X268 = X269 )
| ( 2 != b(X268) )
| ( X267 = X269 )
| ( 6 != a(X268) )
| ( 5 != b(X267) )
| ( X267 = X268 ) )
& ! [X270: $int] :
( ~ $less(12,a(X270))
& ~ $less(a(X270),1) )
& ! [X271: $int,X272: $int,X273: $int,X274: $int] :
( ( 5 != b(X273) )
| ( 2 != a(X273) )
| ( 7 != a(X272) )
| ~ $less(b(X271),3)
| ( X272 = X273 )
| ( X271 = X273 )
| ~ $less(X271,X274)
| ( X273 = X274 )
| ( X271 = X274 )
| ( 5 != a(X274) )
| ( X272 = X274 )
| ( X271 = X272 )
| ( 10 != a(X271) ) )
& ! [X275: $int,X276: $int,X277: $int,X278: $int] :
( ( 5 != a(X275) )
| ( 5 != b(X275) )
| ( 7 != a(X277) )
| ( X276 = X278 )
| ( 10 != a(X278) )
| ( 2 != a(X276) )
| ( X276 = X277 )
| ( X275 = X277 )
| ( X277 = X278 )
| ~ $less(b(X278),3)
| ( X275 = X278 )
| ~ $less(X278,X275)
| ( X275 = X276 ) )
& ! [X279: $int,X280: $int,X281: $int] :
( ~ $less(X281,X279)
| ~ $less(b(X281),3)
| ( 10 != a(X281) )
| ( 8 != a(X280) )
| ( 2 != b(X280) )
| ( X280 = X281 )
| ( X279 = X281 )
| ( X279 = X280 )
| ~ $less(b(X279),4)
| ( 3 != a(X279) ) )
& ! [X282: $int,X283: $int,X284: $int] :
( ~ $less(b(X282),4)
| ~ $less(X283,X284)
| ( 10 != a(X283) )
| ( X282 = X284 )
| ( X283 = X284 )
| ( 2 != b(X283) )
| ( 8 != a(X282) )
| ( 1 != a(X284) )
| ( X282 = X283 ) )
& ( b(z3) = 2 )
& ( z2 != z3 )
& ! [X285: $int,X286: $int,X287: $int,X288: $int] :
( ( 2 != a(X286) )
| ( 10 != a(X287) )
| ( 5 != a(X285) )
| ( 8 != a(X288) )
| ( X285 = X287 )
| ( X286 = X288 )
| ~ $less(X287,X285)
| ( X286 = X287 )
| ~ $less(b(X287),3)
| ( X285 = X288 )
| ( X287 = X288 )
| ( X285 = X286 ) )
& ! [X289: $int,X290: $int,X291: $int] :
( ( 5 != a(X290) )
| ( X290 = X291 )
| ( 5 != b(X291) )
| ( 2 != b(X289) )
| ( X289 = X291 )
| ~ $less(X289,X290)
| ( 10 != a(X289) )
| ( X289 = X290 ) )
& ! [X292: $int,X293: $int,X294: $int,X295: $int] :
( ( 8 != a(X295) )
| ~ $less(X293,X292)
| ( X293 = X294 )
| ~ $less(b(X293),3)
| ( X294 = X295 )
| ( X292 = X294 )
| ( X293 = X295 )
| ( 10 != a(X293) )
| ( X292 = X295 )
| ( X292 = X293 )
| ( 2 != a(X294) )
| ( 4 != a(X292) ) )
& $less(z2,z1)
& ! [X296: $int,X297: $int,X298: $int,X299: $int] :
( ( X296 = X297 )
| ( X298 = X299 )
| ~ $less(b(X298),3)
| ( X297 = X299 )
| ( X296 = X299 )
| ( 5 != a(X296) )
| ( 2 != a(X297) )
| ~ $less(X298,X296)
| ( X297 = X298 )
| ( 5 != b(X299) )
| ( X296 = X298 )
| ( 10 != a(X298) ) ) ),
inference(rectify,[],[f7]) ).
tff(f10,plain,
$less(z2,z1),
inference(cnf_transformation,[],[f8]) ).
tff(f14,plain,
z2 != z3,
inference(cnf_transformation,[],[f8]) ).
tff(f15,plain,
2 = b(z3),
inference(cnf_transformation,[],[f8]) ).
tff(f22,plain,
! [X269: $int,X268: $int,X267: $int] :
( ~ $less(b(X269),3)
| ( X268 = X269 )
| ( 5 != a(X267) )
| ( X267 = X269 )
| ~ $less(X269,X267)
| ( 10 != a(X269) )
| ( 6 != a(X268) )
| ( 2 != b(X268) )
| ( 5 != b(X267) )
| ( X267 = X268 ) ),
inference(cnf_transformation,[],[f8]) ).
tff(f34,plain,
5 = b(z1),
inference(cnf_transformation,[],[f8]) ).
tff(f50,plain,
10 = a(z2),
inference(cnf_transformation,[],[f8]) ).
tff(f61,plain,
$less(b(z2),3),
inference(cnf_transformation,[],[f8]) ).
tff(f79,plain,
z1 != z2,
inference(cnf_transformation,[],[f8]) ).
tff(f83,plain,
6 = a(z3),
inference(cnf_transformation,[],[f8]) ).
tff(f88,plain,
5 = a(z1),
inference(cnf_transformation,[],[f8]) ).
tff(f111,plain,
z1 != z3,
inference(cnf_transformation,[],[f8]) ).
tff(f121,definition,
sF0 = a(z1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f122,plain,
a(z1) = sF0,
inference(reorient_equations,[],[f121]) ).
tff(f123,plain,
5 = sF0,
inference(definition_folding,[],[f88,f122]) ).
tff(f127,definition,
sF2 = a(z3),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f128,plain,
a(z3) = sF2,
inference(reorient_equations,[],[f127]) ).
tff(f129,plain,
6 = sF2,
inference(definition_folding,[],[f83,f128]) ).
tff(f130,definition,
sF3 = b(z2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
tff(f131,plain,
b(z2) = sF3,
inference(reorient_equations,[],[f130]) ).
tff(f132,plain,
$less(sF3,3),
inference(definition_folding,[],[f61,f131]) ).
tff(f133,definition,
sF4 = a(z2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
tff(f134,plain,
a(z2) = sF4,
inference(reorient_equations,[],[f133]) ).
tff(f135,plain,
10 = sF4,
inference(definition_folding,[],[f50,f134]) ).
tff(f136,definition,
sF5 = b(z1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
tff(f137,plain,
b(z1) = sF5,
inference(reorient_equations,[],[f136]) ).
tff(f138,plain,
5 = sF5,
inference(definition_folding,[],[f34,f137]) ).
tff(f142,definition,
sF7 = b(z3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
tff(f143,plain,
b(z3) = sF7,
inference(reorient_equations,[],[f142]) ).
tff(f144,plain,
2 = sF7,
inference(definition_folding,[],[f15,f143]) ).
tff(f146,definition,
( spl8_1
<=> ( b(z3) = sF7 ) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
tff(f148,plain,
( ( b(z3) = sF7 )
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f146]) ).
tff(f149,plain,
spl8_1,
inference(avatar_split_clause,[],[f143,f146]) ).
tff(f151,definition,
( spl8_2
<=> ( 2 = sF7 ) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
tff(f153,plain,
( ( 2 = sF7 )
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f151]) ).
tff(f154,plain,
spl8_2,
inference(avatar_split_clause,[],[f144,f151]) ).
tff(f161,definition,
( spl8_4
<=> $less(z2,z1) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
tff(f163,plain,
( $less(z2,z1)
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f161]) ).
tff(f164,plain,
spl8_4,
inference(avatar_split_clause,[],[f10,f161]) ).
tff(f171,definition,
( spl8_6
<=> $less(sF3,3) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
tff(f173,plain,
( $less(sF3,3)
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f171]) ).
tff(f174,plain,
spl8_6,
inference(avatar_split_clause,[],[f132,f171]) ).
tff(f176,definition,
( spl8_7
<=> ( 5 = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
tff(f178,plain,
( ( 5 = sF0 )
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f176]) ).
tff(f179,plain,
spl8_7,
inference(avatar_split_clause,[],[f123,f176]) ).
tff(f191,definition,
( spl8_10
<=> ( b(z2) = sF3 ) ),
introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).
tff(f193,plain,
( ( b(z2) = sF3 )
| ~ spl8_10 ),
inference(avatar_component_clause,[],[f191]) ).
tff(f194,plain,
spl8_10,
inference(avatar_split_clause,[],[f131,f191]) ).
tff(f201,definition,
( spl8_12
<=> ( 10 = sF4 ) ),
introduced(definition,[new_symbols(definition,[spl8_12])],[avatar_definition]) ).
tff(f203,plain,
( ( 10 = sF4 )
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f201]) ).
tff(f204,plain,
spl8_12,
inference(avatar_split_clause,[],[f135,f201]) ).
tff(f206,definition,
( spl8_13
<=> ( z2 = z3 ) ),
introduced(definition,[new_symbols(definition,[spl8_13])],[avatar_definition]) ).
tff(f208,plain,
( ( z2 != z3 )
| spl8_13 ),
inference(avatar_component_clause,[],[f206]) ).
tff(f209,plain,
~ spl8_13,
inference(avatar_split_clause,[],[f14,f206]) ).
tff(f211,definition,
( spl8_14
<=> ( a(z2) = sF4 ) ),
introduced(definition,[new_symbols(definition,[spl8_14])],[avatar_definition]) ).
tff(f213,plain,
( ( a(z2) = sF4 )
| ~ spl8_14 ),
inference(avatar_component_clause,[],[f211]) ).
tff(f214,plain,
spl8_14,
inference(avatar_split_clause,[],[f134,f211]) ).
tff(f216,definition,
( spl8_15
<=> ( 5 = sF5 ) ),
introduced(definition,[new_symbols(definition,[spl8_15])],[avatar_definition]) ).
tff(f218,plain,
( ( 5 = sF5 )
| ~ spl8_15 ),
inference(avatar_component_clause,[],[f216]) ).
tff(f219,plain,
spl8_15,
inference(avatar_split_clause,[],[f138,f216]) ).
tff(f226,definition,
( spl8_17
<=> ( z1 = z3 ) ),
introduced(definition,[new_symbols(definition,[spl8_17])],[avatar_definition]) ).
tff(f228,plain,
( ( z1 != z3 )
| spl8_17 ),
inference(avatar_component_clause,[],[f226]) ).
tff(f229,plain,
~ spl8_17,
inference(avatar_split_clause,[],[f111,f226]) ).
tff(f231,definition,
( spl8_18
<=> ( 6 = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl8_18])],[avatar_definition]) ).
tff(f233,plain,
( ( 6 = sF2 )
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f231]) ).
tff(f234,plain,
spl8_18,
inference(avatar_split_clause,[],[f129,f231]) ).
tff(f236,definition,
( spl8_19
<=> ( a(z3) = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl8_19])],[avatar_definition]) ).
tff(f238,plain,
( ( a(z3) = sF2 )
| ~ spl8_19 ),
inference(avatar_component_clause,[],[f236]) ).
tff(f239,plain,
spl8_19,
inference(avatar_split_clause,[],[f128,f236]) ).
tff(f246,definition,
( spl8_21
<=> ( a(z1) = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl8_21])],[avatar_definition]) ).
tff(f248,plain,
( ( a(z1) = sF0 )
| ~ spl8_21 ),
inference(avatar_component_clause,[],[f246]) ).
tff(f249,plain,
spl8_21,
inference(avatar_split_clause,[],[f122,f246]) ).
tff(f256,definition,
( spl8_23
<=> ( b(z1) = sF5 ) ),
introduced(definition,[new_symbols(definition,[spl8_23])],[avatar_definition]) ).
tff(f258,plain,
( ( b(z1) = sF5 )
| ~ spl8_23 ),
inference(avatar_component_clause,[],[f256]) ).
tff(f259,plain,
spl8_23,
inference(avatar_split_clause,[],[f137,f256]) ).
tff(f271,definition,
( spl8_26
<=> ( z1 = z2 ) ),
introduced(definition,[new_symbols(definition,[spl8_26])],[avatar_definition]) ).
tff(f273,plain,
( ( z1 != z2 )
| spl8_26 ),
inference(avatar_component_clause,[],[f271]) ).
tff(f274,plain,
~ spl8_26,
inference(avatar_split_clause,[],[f79,f271]) ).
tff(f280,plain,
( ( 2 = b(z3) )
| ~ spl8_1
| ~ spl8_2 ),
inference(forward_demodulation,[],[f148,f153]) ).
tff(f282,definition,
( spl8_28
<=> ( 2 = b(z3) ) ),
introduced(definition,[new_symbols(definition,[spl8_28])],[avatar_definition]) ).
tff(f284,plain,
( ( 2 = b(z3) )
| ~ spl8_28 ),
inference(avatar_component_clause,[],[f282]) ).
tff(f285,plain,
( spl8_28
| ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f280,f151,f146,f282]) ).
tff(f556,plain,
( $less(b(z2),3)
| ~ spl8_6
| ~ spl8_10 ),
inference(superposition,[],[f173,f193]) ).
tff(f558,definition,
( spl8_75
<=> $less(b(z2),3) ),
introduced(definition,[new_symbols(definition,[spl8_75])],[avatar_definition]) ).
tff(f560,plain,
( $less(b(z2),3)
| ~ spl8_75 ),
inference(avatar_component_clause,[],[f558]) ).
tff(f561,plain,
( spl8_75
| ~ spl8_6
| ~ spl8_10 ),
inference(avatar_split_clause,[],[f556,f191,f171,f558]) ).
tff(f562,plain,
( ( 10 = a(z2) )
| ~ spl8_12
| ~ spl8_14 ),
inference(forward_demodulation,[],[f213,f203]) ).
tff(f564,definition,
( spl8_76
<=> ( 10 = a(z2) ) ),
introduced(definition,[new_symbols(definition,[spl8_76])],[avatar_definition]) ).
tff(f566,plain,
( ( 10 = a(z2) )
| ~ spl8_76 ),
inference(avatar_component_clause,[],[f564]) ).
tff(f567,plain,
( spl8_76
| ~ spl8_12
| ~ spl8_14 ),
inference(avatar_split_clause,[],[f562,f211,f201,f564]) ).
tff(f584,plain,
( ( 6 = a(z3) )
| ~ spl8_18
| ~ spl8_19 ),
inference(forward_demodulation,[],[f238,f233]) ).
tff(f586,definition,
( spl8_77
<=> ( 6 = a(z3) ) ),
introduced(definition,[new_symbols(definition,[spl8_77])],[avatar_definition]) ).
tff(f588,plain,
( ( 6 = a(z3) )
| ~ spl8_77 ),
inference(avatar_component_clause,[],[f586]) ).
tff(f589,plain,
( spl8_77
| ~ spl8_18
| ~ spl8_19 ),
inference(avatar_split_clause,[],[f584,f236,f231,f586]) ).
tff(f607,plain,
( ( 5 = a(z1) )
| ~ spl8_7
| ~ spl8_21 ),
inference(forward_demodulation,[],[f248,f178]) ).
tff(f609,definition,
( spl8_78
<=> ( 5 = a(z1) ) ),
introduced(definition,[new_symbols(definition,[spl8_78])],[avatar_definition]) ).
tff(f611,plain,
( ( 5 = a(z1) )
| ~ spl8_78 ),
inference(avatar_component_clause,[],[f609]) ).
tff(f612,plain,
( spl8_78
| ~ spl8_7
| ~ spl8_21 ),
inference(avatar_split_clause,[],[f607,f246,f176,f609]) ).
tff(f628,plain,
( ( 5 = b(z1) )
| ~ spl8_15
| ~ spl8_23 ),
inference(forward_demodulation,[],[f258,f218]) ).
tff(f630,definition,
( spl8_79
<=> ( 5 = b(z1) ) ),
introduced(definition,[new_symbols(definition,[spl8_79])],[avatar_definition]) ).
tff(f632,plain,
( ( 5 = b(z1) )
| ~ spl8_79 ),
inference(avatar_component_clause,[],[f630]) ).
tff(f633,plain,
( spl8_79
| ~ spl8_15
| ~ spl8_23 ),
inference(avatar_split_clause,[],[f628,f256,f216,f630]) ).
tff(f857,plain,
( ! [X0: $int,X1: $int] :
( ( a(X0) != 6 )
| ( z2 = X1 )
| ( z2 = X0 )
| ~ $less(z2,X1)
| ( X0 = X1 )
| ( 5 != b(X1) )
| ( b(X0) != 2 )
| ( 5 != a(X1) )
| ( 10 != a(z2) ) )
| ~ spl8_75 ),
inference(resolution,[],[f560,f22]) ).
tff(f902,plain,
( ! [X0: $int,X1: $int] :
( ( 5 != b(X1) )
| ( z2 = X0 )
| ( 5 != a(X1) )
| ( X0 = X1 )
| ( a(X0) != 6 )
| ~ $less(z2,X1)
| ( z2 = X1 )
| ( b(X0) != 2 ) )
| ~ spl8_75
| ~ spl8_76 ),
inference(forward_subsumption_resolution,[],[f857,f566]) ).
tff(f1280,plain,
( ! [X0: $int] :
( ( 5 != 5 )
| ~ $less(z2,z1)
| ( z1 = z2 )
| ( z2 = X0 )
| ( a(X0) != 6 )
| ( b(X0) != 2 )
| ( 5 != a(z1) )
| ( z1 = X0 ) )
| ~ spl8_75
| ~ spl8_76
| ~ spl8_79 ),
inference(superposition,[],[f902,f632]) ).
tff(f1282,plain,
( ! [X0: $int] :
( ~ $less(z2,z1)
| ( z2 = X0 )
| ( 5 != a(z1) )
| ( b(X0) != 2 )
| ( a(X0) != 6 )
| ( z1 = z2 )
| ( z1 = X0 ) )
| ~ spl8_75
| ~ spl8_76
| ~ spl8_79 ),
inference(trivial_inequality_removal,[],[f1280]) ).
tff(f1283,plain,
( ! [X0: $int] :
( ( z1 = z2 )
| ( 5 != a(z1) )
| ( b(X0) != 2 )
| ( z2 = X0 )
| ( a(X0) != 6 )
| ( z1 = X0 ) )
| ~ spl8_4
| ~ spl8_75
| ~ spl8_76
| ~ spl8_79 ),
inference(forward_subsumption_resolution,[],[f1282,f163]) ).
tff(f1284,plain,
( ! [X0: $int] :
( ( z2 = X0 )
| ( z1 = X0 )
| ( 5 != a(z1) )
| ( a(X0) != 6 )
| ( b(X0) != 2 ) )
| ~ spl8_4
| spl8_26
| ~ spl8_75
| ~ spl8_76
| ~ spl8_79 ),
inference(forward_subsumption_resolution,[],[f1283,f273]) ).
tff(f1285,plain,
( ! [X0: $int] :
( ( b(X0) != 2 )
| ( a(X0) != 6 )
| ( z1 = X0 )
| ( z2 = X0 ) )
| ~ spl8_4
| spl8_26
| ~ spl8_75
| ~ spl8_76
| ~ spl8_78
| ~ spl8_79 ),
inference(forward_subsumption_resolution,[],[f1284,f611]) ).
tff(f1294,plain,
( ( 2 != 2 )
| ( z1 = z3 )
| ( 6 != a(z3) )
| ( z2 = z3 )
| ~ spl8_4
| spl8_26
| ~ spl8_28
| ~ spl8_75
| ~ spl8_76
| ~ spl8_78
| ~ spl8_79 ),
inference(superposition,[],[f1285,f284]) ).
tff(f1296,plain,
( ( 6 != a(z3) )
| ( z2 = z3 )
| ( z1 = z3 )
| ~ spl8_4
| spl8_26
| ~ spl8_28
| ~ spl8_75
| ~ spl8_76
| ~ spl8_78
| ~ spl8_79 ),
inference(trivial_inequality_removal,[],[f1294]) ).
tff(f1298,plain,
( ( z1 = z3 )
| ( z2 = z3 )
| ~ spl8_4
| spl8_26
| ~ spl8_28
| ~ spl8_75
| ~ spl8_76
| ~ spl8_77
| ~ spl8_78
| ~ spl8_79 ),
inference(forward_subsumption_resolution,[],[f1296,f588]) ).
tff(f1300,plain,
( ( z2 = z3 )
| ~ spl8_4
| spl8_17
| spl8_26
| ~ spl8_28
| ~ spl8_75
| ~ spl8_76
| ~ spl8_77
| ~ spl8_78
| ~ spl8_79 ),
inference(forward_subsumption_resolution,[],[f1298,f228]) ).
tff(f1302,plain,
( $false
| ~ spl8_4
| spl8_13
| spl8_17
| spl8_26
| ~ spl8_28
| ~ spl8_75
| ~ spl8_76
| ~ spl8_77
| ~ spl8_78
| ~ spl8_79 ),
inference(forward_subsumption_resolution,[],[f1300,f208]) ).
tff(f1303,plain,
( ~ spl8_4
| spl8_13
| spl8_17
| spl8_26
| ~ spl8_28
| ~ spl8_75
| ~ spl8_76
| ~ spl8_77
| ~ spl8_78
| ~ spl8_79 ),
inference(avatar_contradiction_clause,[],[f1302]) ).
tff(f1305,plain,
$false,
inference(avatar_smt_refutation,[],[f1303,f633,f612,f589,f567,f561,f285,f274,f259,f249,f239,f234,f229,f219,f214,f209,f204,f194,f179,f174,f164,f154,f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW006_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n017.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 13:03:36 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 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
% 3.65/1.19 % (3530277)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.65/1.19 % (3530285)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1075774954:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.65/1.19 % (3530285)Instruction limit reached!
% 3.65/1.19 % (3530285)------------------------------
% 3.65/1.19 % (3530285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.19 % (3530285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.19 % (3530285)CaDiCaL version: 2.1.3
% 3.65/1.19 % (3530285)Termination reason: Instruction limit
% 3.65/1.19 % (3530285)Termination phase: Preprocessing 1
% 3.65/1.19 % (3530285)Time elapsed: 0.002 s
% 3.65/1.19 % (3530285)Peak memory usage: 86 MB
% 3.65/1.19 % (3530285)Instructions burned: 7 (million)
% 3.65/1.19 % (3530284)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2861018818:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.65/1.19 % (3530286)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1694789175:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.65/1.19 % (3530287)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=175010657:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.65/1.19 % (3530288)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=485481394:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.65/1.19 % (3530283)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1421154606:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.65/1.19 % (3530282)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=994419064:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.65/1.19 % (3530286)Instruction limit reached!
% 3.65/1.19 % (3530286)------------------------------
% 3.65/1.19 % (3530286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.19 % (3530286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.19 % (3530286)CaDiCaL version: 2.1.3
% 3.65/1.19 % (3530286)Termination reason: Instruction limit
% 3.65/1.19 % (3530286)Termination phase: Property scanning
% 3.65/1.19 % (3530286)Time elapsed: 0.002 s
% 3.65/1.19 % (3530286)Peak memory usage: 85 MB
% 3.65/1.19 % (3530286)Instructions burned: 4 (million)
% 3.65/1.19 % (3530282)Instruction limit reached!
% 3.65/1.19 % (3530282)------------------------------
% 3.65/1.19 % (3530282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.19 % (3530282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.19 % (3530282)CaDiCaL version: 2.1.3
% 3.65/1.19 % (3530282)Termination reason: Instruction limit
% 3.65/1.19 % (3530282)Termination phase: Preprocessing 3
% 3.65/1.19 % (3530282)Time elapsed: 0.006 s
% 3.65/1.19 % (3530282)Peak memory usage: 86 MB
% 3.65/1.19 % (3530282)Instructions burned: 13 (million)
% 3.65/1.19 % (3530288)Instruction limit reached!
% 3.65/1.19 % (3530288)------------------------------
% 3.65/1.19 % (3530288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.19 % (3530288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.19 % (3530288)CaDiCaL version: 2.1.3
% 3.65/1.19 % (3530288)Termination reason: Instruction limit
% 3.65/1.19 % (3530288)Termination phase: Saturation
% 3.65/1.19 % (3530288)Time elapsed: 0.039 s
% 3.65/1.19 % (3530288)Peak memory usage: 112 MB
% 3.65/1.19 % (3530288)Instructions burned: 35 (million)
% 3.65/1.19 % (3530287)Instruction limit reached!
% 3.65/1.19 % (3530287)------------------------------
% 3.65/1.19 % (3530287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.19 % (3530287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.19 % (3530287)CaDiCaL version: 2.1.3
% 3.65/1.19 % (3530287)Termination reason: Instruction limit
% 3.65/1.19 % (3530287)Termination phase: Saturation
% 3.65/1.19 % (3530287)Time elapsed: 0.045 s
% 3.65/1.19 % (3530287)Peak memory usage: 112 MB
% 3.65/1.19 % (3530287)Instructions burned: 47 (million)
% 3.65/1.19 % (3530290)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2703911232:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.65/1.19 % (3530290)Instruction limit reached!
% 3.65/1.19 % (3530290)------------------------------
% 3.65/1.19 % (3530290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.19 % (3530290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.19 % (3530290)CaDiCaL version: 2.1.3
% 3.65/1.19 % (3530290)Termination reason: Instruction limit
% 3.65/1.19 % (3530290)Termination phase: Saturation
% 3.65/1.19 % (3530290)Time elapsed: 0.005 s
% 3.65/1.19 % (3530290)Peak memory usage: 89 MB
% 3.65/1.19 % (3530290)Instructions burned: 16 (million)
% 3.65/1.19 % (3530283)First to succeed.
% 3.65/1.19 % (3530284)Also succeeded, but the first one will report.
% 3.65/1.19 % (3530283)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3530277"
% 3.65/1.19 % (3530298)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3533362923:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.65/1.19 % (3530297)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=3100382474:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.65/1.19 % (3530298)Instruction limit reached!
% 3.65/1.19 % (3530298)------------------------------
% 3.65/1.19 % (3530298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.19 % (3530298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.19 % (3530298)CaDiCaL version: 2.1.3
% 3.65/1.19 % (3530298)Termination reason: Instruction limit
% 3.65/1.19 % (3530298)Termination phase: Saturation
% 3.65/1.19 % (3530298)Time elapsed: 0.009 s
% 3.65/1.19 % (3530298)Peak memory usage: 88 MB
% 3.65/1.19 % (3530298)Instructions burned: 16 (million)
% 3.65/1.19 % (3530297)Instruction limit reached!
% 3.65/1.19 % (3530297)------------------------------
% 3.65/1.19 % (3530297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.19 % (3530297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.19 % (3530297)CaDiCaL version: 2.1.3
% 3.65/1.19 % (3530297)Termination reason: Instruction limit
% 3.65/1.19 % (3530297)Termination phase: Saturation
% 3.65/1.19 % (3530297)Time elapsed: 0.016 s
% 3.65/1.19 % (3530297)Peak memory usage: 89 MB
% 3.65/1.19 % (3530297)Instructions burned: 29 (million)
% 3.65/1.19 % (3530299)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=4102428642:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.65/1.19 % (3530299)Instruction limit reached!
% 3.65/1.19 % (3530299)------------------------------
% 3.65/1.19 % (3530299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.19 % (3530299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.19 % (3530299)CaDiCaL version: 2.1.3
% 3.65/1.19 % (3530299)Termination reason: Instruction limit
% 3.65/1.19 % (3530299)Termination phase: Saturation
% 3.65/1.19 % (3530299)Time elapsed: 0.013 s
% 3.65/1.19 % (3530299)Peak memory usage: 89 MB
% 3.65/1.19 % (3530299)Instructions burned: 24 (million)
% 3.65/1.19 % (3530300)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=3501890974:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.65/1.19 % (3530302)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=3881532768:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 3.65/1.19 % (3530300)Instruction limit reached!
% 3.65/1.19 % (3530300)------------------------------
% 3.65/1.19 % (3530300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.19 % (3530300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.19 % (3530300)CaDiCaL version: 2.1.3
% 3.65/1.19 % (3530300)Termination reason: Instruction limit
% 3.65/1.19 % (3530300)Termination phase: Saturation
% 3.65/1.19 % (3530300)Time elapsed: 0.014 s
% 3.65/1.19 % (3530300)Peak memory usage: 89 MB
% 3.65/1.19 % (3530300)Instructions burned: 27 (million)
% 3.65/1.19 % (3530302)Also succeeded, but the first one will report.
% 3.65/1.19 % (3530305)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2641198055:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 3.65/1.19 % (3530305)Instruction limit reached!
% 3.65/1.19 % (3530305)------------------------------
% 3.65/1.19 % (3530305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.19 % (3530305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.19 % (3530305)CaDiCaL version: 2.1.3
% 3.65/1.19 % (3530305)Termination reason: Instruction limit
% 3.65/1.19 % (3530305)Termination phase: Property scanning
% 3.65/1.19 % (3530305)Time elapsed: 0.002 s
% 3.65/1.19 % (3530305)Peak memory usage: 85 MB
% 3.65/1.19 % (3530305)Instructions burned: 4 (million)
% 3.65/1.19 % (3530306)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2449235667:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 3.65/1.19 % (3530309)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2788095852:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 3.65/1.19 % (3530309)Instruction limit reached!
% 3.65/1.19 % (3530309)------------------------------
% 3.65/1.19 % (3530309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.19 % (3530309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.19 % (3530309)CaDiCaL version: 2.1.3
% 3.65/1.19 % (3530309)Termination reason: Instruction limit
% 3.65/1.19 % (3530309)Termination phase: Property scanning
% 3.65/1.19 % (3530309)Time elapsed: 0.002 s
% 3.65/1.19 % (3530309)Peak memory usage: 85 MB
% 3.65/1.19 % (3530309)Instructions burned: 4 (million)
% 3.65/1.19 % (3530283)Refutation found. Thanks to Tanya!
% 3.65/1.19 % SZS status Theorem for theBenchmark
% 3.65/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 4.40/1.39 % (3530283)------------------------------
% 4.40/1.39 % (3530283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.39 % (3530283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.39 % (3530283)CaDiCaL version: 2.1.3
% 4.40/1.39 % (3530283)Termination reason: Refutation
% 4.40/1.39 % (3530283)Time elapsed: 0.115 s
% 4.40/1.39 % (3530283)Peak memory usage: 118 MB
% 4.40/1.39 % (3530283)Instructions burned: 169 (million)
% 4.40/1.39 % (3530283)------------------------------
% 4.40/1.39 % (3530283)------------------------------
% 4.40/1.39 % (3530277)Success in time 0.544 s
% 4.40/1.39 % Vampire exiting
%------------------------------------------------------------------------------