%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW004_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 01:38:11 PM UTC 2026
% Result : Theorem 0.53s 0.40s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 1
% Syntax : Number of formulae : 33 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 5520 (4565 equ)
% Maximal formula atoms : 903 ( 167 avg)
% Number of connectives : 8398 (2911 ~;1663 |;3820 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 107 ( 23 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 5494 ( 948 atm; 0 fun;2798 num;1748 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 : 5 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 18 ( 7 usr; 16 con; 0-1 aty)
% Number of variables : 1748 (1748 !; 0 ?;1748 :)
% 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(f1,conjecture,
( ( ! [X0: $int] :
( $lesseq(1,a(X0))
& $lesseq(a(X0),12) )
& ! [X0: $int] :
( $lesseq(1,b(X0))
& $lesseq(b(X0),5) )
& $true
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z1 != z5 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z2 != z5 )
& ( z3 != z4 )
& ( z3 != z5 )
& ( z4 != z5 )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 10 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 9 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 8 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X0),4)
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X0),4)
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X0),4)
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X0),4)
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X3) = 1 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( a(X3) = 2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( a(X3) = 2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( a(X3) = 1 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X0),4)
& $less(b(X1),3)
& $less(b(X2),4)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X3) = 1 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) ) )
=> ~ ( ( a(z1) = 5 )
& ( a(z2) = 10 )
& ( a(z3) = 7 )
& ( a(z4) = 1 )
& $less(b(z2),3)
& ( b(z3) = 5 )
& ( b(z4) = 5 )
& $less(z2,z1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: $int] :
( $lesseq(1,a(X0))
& $lesseq(a(X0),12) )
& ! [X0: $int] :
( $lesseq(1,b(X0))
& $lesseq(b(X0),5) )
& $true
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z1 != z5 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z2 != z5 )
& ( z3 != z4 )
& ( z3 != z5 )
& ( z4 != z5 )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 10 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 9 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 8 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X0),4)
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X0),4)
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X0),4)
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X0),4)
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X3) = 1 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( a(X3) = 2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( a(X3) = 2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( a(X3) = 1 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X0),4)
& $less(b(X1),3)
& $less(b(X2),4)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X3) = 1 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) ) )
=> ~ ( ( a(z1) = 5 )
& ( a(z2) = 10 )
& ( a(z3) = 7 )
& ( a(z4) = 1 )
& $less(b(z2),3)
& ( b(z3) = 5 )
& ( b(z4) = 5 )
& $less(z2,z1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ! [X0: $int] :
( ~ $less(a(X0),1)
& ~ $less(12,a(X0)) )
& ! [X0: $int] :
( ~ $less(b(X0),1)
& ~ $less(5,b(X0)) )
& $true
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z1 != z5 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z2 != z5 )
& ( z3 != z4 )
& ( z3 != z5 )
& ( z4 != z5 )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 10 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 9 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 8 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X0),4)
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X0),4)
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X0),4)
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X0),4)
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( b(X1) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X3) = 1 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( a(X3) = 2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& ( a(X3) = 2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 7 )
& ( a(X1) = 10 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( a(X3) = 1 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( a(X3) = 2 )
& $less(b(X1),3)
& ( b(X3) = 5 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 3 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& $less(b(X0),4)
& $less(b(X1),3)
& $less(b(X2),4)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& ( b(X3) = 2 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( a(X3) = 1 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) ) )
=> ~ ( ( a(z1) = 5 )
& ( a(z2) = 10 )
& ( a(z3) = 7 )
& ( a(z4) = 1 )
& $less(b(z2),3)
& ( b(z3) = 5 )
& ( b(z4) = 5 )
& $less(z2,z1) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f16,plain,
~ ( ( ! [X0: $int] :
( ~ $less(a(X0),1)
& ~ $less(12,a(X0)) )
& ! [X1: $int] :
( ~ $less(b(X1),1)
& ~ $less(5,b(X1)) )
& $true
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z1 != z5 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z2 != z5 )
& ( z3 != z4 )
& ( z3 != z5 )
& ( z4 != z5 )
& ! [X2: $int,X3: $int] :
~ ( ( X2 != X3 )
& ( 10 = a(X2) )
& ( 10 = a(X3) ) )
& ! [X4: $int,X5: $int] :
~ ( ( X4 != X5 )
& ( 9 = a(X4) )
& ( 10 = a(X5) )
& $less(b(X5),3)
& $less(X5,X4) )
& ! [X6: $int,X7: $int] :
~ ( ( X6 != X7 )
& ( 8 = a(X6) )
& ( 10 = a(X7) )
& $less(b(X7),3)
& $less(X7,X6) )
& ! [X8: $int,X9: $int,X10: $int] :
~ ( ( X8 != X9 )
& ( X8 != X10 )
& ( X9 != X10 )
& ( 7 = a(X8) )
& ( 10 = a(X9) )
& $less(b(X9),3)
& ( 5 = b(X10) )
& $less(X9,X8) )
& ! [X11: $int,X12: $int,X13: $int] :
~ ( ( X11 != X12 )
& ( X11 != X13 )
& ( X12 != X13 )
& ( 6 = a(X11) )
& ( 10 = a(X12) )
& $less(b(X12),3)
& ( 5 = b(X13) )
& $less(X12,X11) )
& ! [X14: $int,X15: $int,X16: $int] :
~ ( ( X14 != X15 )
& ( X14 != X16 )
& ( X15 != X16 )
& ( 7 = a(X14) )
& ( 10 = a(X15) )
& ( 8 = a(X16) )
& $less(b(X15),3)
& $less(X15,X14) )
& ! [X17: $int,X18: $int,X19: $int] :
~ ( ( X17 != X18 )
& ( X17 != X19 )
& ( X18 != X19 )
& ( 5 = a(X17) )
& ( 10 = a(X18) )
& ( 2 = b(X18) )
& ( 5 = b(X19) )
& $less(X18,X17) )
& ! [X20: $int,X21: $int,X22: $int,X23: $int] :
~ ( ( X20 != X21 )
& ( X20 != X22 )
& ( X20 != X23 )
& ( X21 != X22 )
& ( X21 != X23 )
& ( X22 != X23 )
& ( 5 = a(X20) )
& ( 10 = a(X21) )
& $less(b(X21),3)
& ( 5 = b(X22) )
& ( 2 = b(X23) )
& $less(X21,X20) )
& ! [X24: $int,X25: $int,X26: $int] :
~ ( ( X24 != X25 )
& ( X24 != X26 )
& ( X25 != X26 )
& ( 6 = a(X24) )
& ( 10 = a(X25) )
& ( 8 = a(X26) )
& $less(b(X25),3)
& $less(X25,X24) )
& ! [X27: $int,X28: $int,X29: $int] :
~ ( ( X27 != X28 )
& ( X27 != X29 )
& ( X28 != X29 )
& ( 7 = a(X27) )
& ( 10 = a(X28) )
& ( 7 = a(X29) )
& ( 5 = b(X27) )
& $less(b(X28),3)
& $less(X28,X27) )
& ! [X30: $int,X31: $int,X32: $int] :
~ ( ( X30 != X31 )
& ( X30 != X32 )
& ( X31 != X32 )
& ( 4 = a(X30) )
& ( 10 = a(X31) )
& ( 2 = b(X31) )
& ( 5 = b(X32) )
& $less(X31,X30) )
& ! [X33: $int,X34: $int,X35: $int] :
~ ( ( X33 != X34 )
& ( X33 != X35 )
& ( X34 != X35 )
& ( 5 = a(X33) )
& ( 10 = a(X34) )
& ( 8 = a(X35) )
& ( 2 = b(X34) )
& $less(X34,X33) )
& ! [X36: $int,X37: $int,X38: $int] :
~ ( ( X36 != X37 )
& ( X36 != X38 )
& ( X37 != X38 )
& ( 5 = a(X36) )
& ( 10 = a(X37) )
& ( 8 = a(X38) )
& $less(b(X37),3)
& ( 2 = b(X38) )
& $less(X37,X36) )
& ! [X39: $int,X40: $int,X41: $int,X42: $int] :
~ ( ( X39 != X40 )
& ( X39 != X41 )
& ( X39 != X42 )
& ( X40 != X41 )
& ( X40 != X42 )
& ( X41 != X42 )
& ( 5 = a(X39) )
& ( 10 = a(X40) )
& ( 8 = a(X41) )
& $less(b(X40),3)
& ( 2 = b(X42) )
& $less(X40,X39) )
& ! [X43: $int,X44: $int,X45: $int] :
~ ( ( X43 != X44 )
& ( X43 != X45 )
& ( X44 != X45 )
& ( 6 = a(X43) )
& ( 10 = a(X44) )
& ( 7 = a(X45) )
& ( 5 = b(X43) )
& $less(b(X44),3)
& $less(X44,X43) )
& ! [X46: $int,X47: $int,X48: $int] :
~ ( ( X46 != X47 )
& ( X46 != X48 )
& ( X47 != X48 )
& ( 7 = a(X46) )
& ( 10 = a(X47) )
& ( 6 = a(X48) )
& ( 5 = b(X46) )
& $less(b(X47),3)
& $less(X47,X46) )
& ! [X49: $int,X50: $int,X51: $int] :
~ ( ( X49 != X50 )
& ( X49 != X51 )
& ( X50 != X51 )
& ( 4 = a(X49) )
& ( 10 = a(X50) )
& ( 8 = a(X51) )
& ( 2 = b(X50) )
& $less(X50,X49) )
& ! [X52: $int,X53: $int,X54: $int] :
~ ( ( X52 != X53 )
& ( X52 != X54 )
& ( X53 != X54 )
& ( 5 = a(X52) )
& ( 10 = a(X53) )
& ( 7 = a(X54) )
& ( 5 = b(X52) )
& ( 2 = b(X53) )
& $less(X53,X52) )
& ! [X55: $int,X56: $int,X57: $int] :
~ ( ( X55 != X56 )
& ( X55 != X57 )
& ( X56 != X57 )
& ( 4 = a(X55) )
& ( 10 = a(X56) )
& ( 8 = a(X57) )
& $less(b(X56),3)
& ( 2 = b(X57) )
& $less(X56,X55) )
& ! [X58: $int,X59: $int,X60: $int] :
~ ( ( X58 != X59 )
& ( X58 != X60 )
& ( X59 != X60 )
& ( 5 = a(X58) )
& ( 10 = a(X59) )
& ( 7 = a(X60) )
& ( 5 = b(X58) )
& $less(b(X59),3)
& ( 2 = b(X60) )
& $less(X59,X58) )
& ! [X61: $int,X62: $int,X63: $int,X64: $int] :
~ ( ( X61 != X62 )
& ( X61 != X63 )
& ( X61 != X64 )
& ( X62 != X63 )
& ( X62 != X64 )
& ( X63 != X64 )
& ( 5 = a(X61) )
& ( 10 = a(X62) )
& ( 7 = a(X63) )
& ( 5 = b(X61) )
& $less(b(X62),3)
& ( 2 = b(X64) )
& $less(X62,X61) )
& ! [X65: $int,X66: $int,X67: $int] :
~ ( ( X65 != X66 )
& ( X65 != X67 )
& ( X66 != X67 )
& ( 6 = a(X65) )
& ( 10 = a(X66) )
& ( 6 = a(X67) )
& ( 5 = b(X65) )
& $less(b(X66),3)
& $less(X66,X65) )
& ! [X68: $int,X69: $int,X70: $int] :
~ ( ( X68 != X69 )
& ( X68 != X70 )
& ( X69 != X70 )
& ( 7 = a(X68) )
& ( 10 = a(X69) )
& ( 5 = a(X70) )
& ( 5 = b(X68) )
& ( 2 = b(X69) )
& $less(X69,X68) )
& ! [X71: $int,X72: $int,X73: $int,X74: $int] :
~ ( ( X71 != X72 )
& ( X71 != X73 )
& ( X71 != X74 )
& ( X72 != X73 )
& ( X72 != X74 )
& ( X73 != X74 )
& ( 7 = a(X71) )
& ( 10 = a(X72) )
& ( 5 = a(X73) )
& ( 5 = b(X71) )
& $less(b(X72),3)
& ( 2 = b(X74) )
& $less(X72,X71) )
& ! [X75: $int,X76: $int,X77: $int] :
~ ( ( X75 != X76 )
& ( X75 != X77 )
& ( X76 != X77 )
& ( 3 = a(X75) )
& ( 10 = a(X76) )
& ( 8 = a(X77) )
& $less(b(X75),4)
& ( 2 = b(X76) )
& $less(b(X77),4)
& $less(X76,X75) )
& ! [X78: $int,X79: $int,X80: $int] :
~ ( ( X78 != X79 )
& ( X78 != X80 )
& ( X79 != X80 )
& ( 4 = a(X78) )
& ( 10 = a(X79) )
& ( 7 = a(X80) )
& ( 5 = b(X78) )
& ( 2 = b(X79) )
& $less(X79,X78) )
& ! [X81: $int,X82: $int,X83: $int] :
~ ( ( X81 != X82 )
& ( X81 != X83 )
& ( X82 != X83 )
& ( 5 = a(X81) )
& ( 10 = a(X82) )
& ( 6 = a(X83) )
& ( 5 = b(X81) )
& ( 2 = b(X82) )
& $less(X82,X81) )
& ! [X84: $int,X85: $int,X86: $int] :
~ ( ( X84 != X85 )
& ( X84 != X86 )
& ( X85 != X86 )
& ( 3 = a(X84) )
& ( 10 = a(X85) )
& ( 8 = a(X86) )
& $less(b(X84),4)
& $less(b(X85),3)
& ( 2 = b(X86) )
& $less(X85,X84) )
& ! [X87: $int,X88: $int,X89: $int] :
~ ( ( X87 != X88 )
& ( X87 != X89 )
& ( X88 != X89 )
& ( 4 = a(X87) )
& ( 10 = a(X88) )
& ( 7 = a(X89) )
& ( 5 = b(X87) )
& $less(b(X88),3)
& ( 2 = b(X89) )
& $less(X88,X87) )
& ! [X90: $int,X91: $int,X92: $int,X93: $int] :
~ ( ( X90 != X91 )
& ( X90 != X92 )
& ( X90 != X93 )
& ( X91 != X92 )
& ( X91 != X93 )
& ( X92 != X93 )
& ( 4 = a(X90) )
& ( 10 = a(X91) )
& ( 7 = a(X92) )
& $less(b(X91),3)
& ( 2 = b(X92) )
& ( 5 = b(X93) )
& $less(X91,X90) )
& ! [X94: $int,X95: $int,X96: $int] :
~ ( ( X94 != X95 )
& ( X94 != X96 )
& ( X95 != X96 )
& ( 5 = a(X94) )
& ( 10 = a(X95) )
& ( 6 = a(X96) )
& ( 5 = b(X94) )
& $less(b(X95),3)
& ( 2 = b(X96) )
& $less(X95,X94) )
& ! [X97: $int,X98: $int,X99: $int,X100: $int] :
~ ( ( X97 != X98 )
& ( X97 != X99 )
& ( X97 != X100 )
& ( X98 != X99 )
& ( X98 != X100 )
& ( X99 != X100 )
& ( 5 = a(X97) )
& ( 10 = a(X98) )
& ( 6 = a(X99) )
& ( 5 = b(X97) )
& $less(b(X98),3)
& ( 2 = b(X100) )
& $less(X98,X97) )
& ! [X101: $int,X102: $int,X103: $int] :
~ ( ( X101 != X102 )
& ( X101 != X103 )
& ( X102 != X103 )
& ( 6 = a(X101) )
& ( 10 = a(X102) )
& ( 5 = a(X103) )
& ( 5 = b(X101) )
& ( 2 = b(X102) )
& $less(X102,X101) )
& ! [X104: $int,X105: $int,X106: $int,X107: $int] :
~ ( ( X104 != X105 )
& ( X104 != X106 )
& ( X104 != X107 )
& ( X105 != X106 )
& ( X105 != X107 )
& ( X106 != X107 )
& ( 6 = a(X104) )
& ( 10 = a(X105) )
& ( 5 = a(X106) )
& ( 5 = b(X104) )
& $less(b(X105),3)
& ( 2 = b(X107) )
& $less(X105,X104) )
& ! [X108: $int,X109: $int,X110: $int] :
~ ( ( X108 != X109 )
& ( X108 != X110 )
& ( X109 != X110 )
& ( 7 = a(X108) )
& ( 10 = a(X109) )
& ( 4 = a(X110) )
& ( 5 = b(X108) )
& ( 2 = b(X109) )
& $less(X109,X108) )
& ! [X111: $int,X112: $int,X113: $int] :
~ ( ( X111 != X112 )
& ( X111 != X113 )
& ( X112 != X113 )
& ( 2 = a(X111) )
& ( 10 = a(X112) )
& ( 8 = a(X113) )
& ( 2 = b(X112) )
& $less(b(X113),4)
& $less(X112,X111) )
& ! [X114: $int,X115: $int,X116: $int,X117: $int] :
~ ( ( X114 != X115 )
& ( X114 != X116 )
& ( X114 != X117 )
& ( X115 != X116 )
& ( X115 != X117 )
& ( X116 != X117 )
& ( 3 = a(X114) )
& ( 10 = a(X115) )
& ( 7 = a(X116) )
& $less(b(X114),4)
& ( 2 = b(X115) )
& $less(b(X116),4)
& ( 5 = b(X117) )
& $less(X115,X114) )
& ! [X118: $int,X119: $int,X120: $int] :
~ ( ( X118 != X119 )
& ( X118 != X120 )
& ( X119 != X120 )
& ( 4 = a(X118) )
& ( 10 = a(X119) )
& ( 6 = a(X120) )
& ( 5 = b(X118) )
& ( 2 = b(X119) )
& $less(X119,X118) )
& ! [X121: $int,X122: $int,X123: $int] :
~ ( ( X121 != X122 )
& ( X121 != X123 )
& ( X122 != X123 )
& ( 5 = a(X121) )
& ( 10 = a(X122) )
& ( 5 = a(X123) )
& ( 5 = b(X121) )
& ( 2 = b(X122) )
& $less(X122,X121) )
& ! [X124: $int,X125: $int,X126: $int] :
~ ( ( X124 != X125 )
& ( X124 != X126 )
& ( X125 != X126 )
& ( 2 = a(X124) )
& ( 10 = a(X125) )
& ( 8 = a(X126) )
& $less(b(X125),3)
& ( 2 = b(X126) )
& $less(X125,X124) )
& ! [X127: $int,X128: $int,X129: $int,X130: $int] :
~ ( ( X127 != X128 )
& ( X127 != X129 )
& ( X127 != X130 )
& ( X128 != X129 )
& ( X128 != X130 )
& ( X129 != X130 )
& ( 3 = a(X127) )
& ( 10 = a(X128) )
& ( 7 = a(X129) )
& $less(b(X127),4)
& $less(b(X128),3)
& ( 2 = b(X129) )
& ( 5 = b(X130) )
& $less(X128,X127) )
& ! [X131: $int,X132: $int,X133: $int,X134: $int] :
~ ( ( X131 != X132 )
& ( X131 != X133 )
& ( X131 != X134 )
& ( X132 != X133 )
& ( X132 != X134 )
& ( X133 != X134 )
& ( 5 = a(X131) )
& ( 10 = a(X132) )
& ( 5 = a(X133) )
& ( 5 = b(X131) )
& $less(b(X132),3)
& ( 2 = b(X133) )
& ( 2 = b(X134) )
& $less(X132,X131) )
& ! [X135: $int,X136: $int,X137: $int] :
~ ( ( X135 != X136 )
& ( X135 != X137 )
& ( X136 != X137 )
& ( 6 = a(X135) )
& ( 10 = a(X136) )
& ( 4 = a(X137) )
& ( 5 = b(X135) )
& ( 2 = b(X136) )
& $less(X136,X135) )
& ! [X138: $int,X139: $int,X140: $int] :
~ ( ( X138 != X139 )
& ( X138 != X140 )
& ( X139 != X140 )
& ( 1 = a(X138) )
& ( 10 = a(X139) )
& ( 8 = a(X140) )
& ( 2 = b(X139) )
& $less(b(X140),4)
& $less(X139,X138) )
& ! [X141: $int,X142: $int,X143: $int] :
~ ( ( X141 != X142 )
& ( X141 != X143 )
& ( X142 != X143 )
& ( 2 = a(X141) )
& ( 10 = a(X142) )
& ( 7 = a(X143) )
& ( 5 = b(X141) )
& ( 2 = b(X142) )
& $less(b(X143),4)
& $less(X142,X141) )
& ! [X144: $int,X145: $int,X146: $int,X147: $int] :
~ ( ( X144 != X145 )
& ( X144 != X146 )
& ( X144 != X147 )
& ( X145 != X146 )
& ( X145 != X147 )
& ( X146 != X147 )
& ( 2 = a(X144) )
& ( 10 = a(X145) )
& ( 7 = a(X146) )
& ( 2 = b(X145) )
& $less(b(X146),4)
& ( 5 = b(X147) )
& $less(X145,X144) )
& ! [X148: $int,X149: $int,X150: $int] :
~ ( ( X148 != X149 )
& ( X148 != X150 )
& ( X149 != X150 )
& ( 4 = a(X148) )
& ( 10 = a(X149) )
& ( 5 = a(X150) )
& ( 5 = b(X148) )
& ( 2 = b(X149) )
& $less(X149,X148) )
& ! [X151: $int,X152: $int,X153: $int] :
~ ( ( X151 != X152 )
& ( X151 != X153 )
& ( X152 != X153 )
& ( 5 = a(X151) )
& ( 10 = a(X152) )
& ( 4 = a(X153) )
& ( 5 = b(X151) )
& ( 2 = b(X152) )
& $less(X152,X151) )
& ! [X154: $int,X155: $int,X156: $int] :
~ ( ( X154 != X155 )
& ( X154 != X156 )
& ( X155 != X156 )
& ( 1 = a(X154) )
& ( 10 = a(X155) )
& ( 8 = a(X156) )
& $less(b(X155),3)
& ( 2 = b(X156) )
& $less(X155,X154) )
& ! [X157: $int,X158: $int,X159: $int] :
~ ( ( X157 != X158 )
& ( X157 != X159 )
& ( X158 != X159 )
& ( 2 = a(X157) )
& ( 10 = a(X158) )
& ( 7 = a(X159) )
& ( 5 = b(X157) )
& $less(b(X158),3)
& ( 2 = b(X159) )
& $less(X158,X157) )
& ! [X160: $int,X161: $int,X162: $int,X163: $int] :
~ ( ( X160 != X161 )
& ( X160 != X162 )
& ( X160 != X163 )
& ( X161 != X162 )
& ( X161 != X163 )
& ( X162 != X163 )
& ( 2 = a(X160) )
& ( 10 = a(X161) )
& ( 7 = a(X162) )
& $less(b(X161),3)
& ( 2 = b(X162) )
& ( 5 = b(X163) )
& $less(X161,X160) )
& ! [X164: $int,X165: $int,X166: $int] :
~ ( ( X164 != X165 )
& ( X164 != X166 )
& ( X165 != X166 )
& ( 1 = a(X164) )
& ( 10 = a(X165) )
& ( 7 = a(X166) )
& ( 5 = b(X164) )
& ( 2 = b(X165) )
& $less(b(X166),4)
& $less(X165,X164) )
& ! [X167: $int,X168: $int,X169: $int,X170: $int] :
~ ( ( X167 != X168 )
& ( X167 != X169 )
& ( X167 != X170 )
& ( X168 != X169 )
& ( X168 != X170 )
& ( X169 != X170 )
& ( 1 = a(X167) )
& ( 10 = a(X168) )
& ( 7 = a(X169) )
& ( 2 = b(X168) )
& $less(b(X169),4)
& ( 5 = b(X170) )
& $less(X168,X167) )
& ! [X171: $int,X172: $int,X173: $int] :
~ ( ( X171 != X172 )
& ( X171 != X173 )
& ( X172 != X173 )
& ( 12 = a(X171) )
& ( 10 = a(X172) )
& ( 8 = a(X173) )
& ( 2 = b(X172) )
& $less(b(X173),4)
& $less(X172,X171) )
& ! [X174: $int,X175: $int,X176: $int] :
~ ( ( X174 != X175 )
& ( X174 != X176 )
& ( X175 != X176 )
& ( 2 = a(X174) )
& ( 10 = a(X175) )
& ( 6 = a(X176) )
& ( 5 = b(X174) )
& ( 2 = b(X175) )
& $less(X175,X174) )
& ! [X177: $int,X178: $int,X179: $int] :
~ ( ( X177 != X178 )
& ( X177 != X179 )
& ( X178 != X179 )
& ( 4 = a(X177) )
& ( 10 = a(X178) )
& ( 4 = a(X179) )
& ( 5 = b(X177) )
& ( 2 = b(X178) )
& $less(X178,X177) )
& ! [X180: $int,X181: $int,X182: $int] :
~ ( ( X180 != X181 )
& ( X180 != X182 )
& ( X181 != X182 )
& ( 1 = a(X180) )
& ( 10 = a(X181) )
& ( 7 = a(X182) )
& ( 5 = b(X180) )
& $less(b(X181),3)
& ( 2 = b(X182) )
& $less(X181,X180) )
& ! [X183: $int,X184: $int,X185: $int,X186: $int] :
~ ( ( X183 != X184 )
& ( X183 != X185 )
& ( X183 != X186 )
& ( X184 != X185 )
& ( X184 != X186 )
& ( X185 != X186 )
& ( 1 = a(X183) )
& ( 10 = a(X184) )
& ( 7 = a(X185) )
& $less(b(X184),3)
& ( 2 = b(X185) )
& ( 5 = b(X186) )
& $less(X184,X183) )
& ! [X187: $int,X188: $int,X189: $int] :
~ ( ( X187 != X188 )
& ( X187 != X189 )
& ( X188 != X189 )
& ( 12 = a(X187) )
& ( 10 = a(X188) )
& ( 8 = a(X189) )
& $less(b(X188),3)
& ( 2 = b(X189) )
& $less(X188,X187) )
& ! [X190: $int,X191: $int,X192: $int] :
~ ( ( X190 != X191 )
& ( X190 != X192 )
& ( X191 != X192 )
& ( 1 = a(X190) )
& ( 10 = a(X191) )
& ( 6 = a(X192) )
& ( 5 = b(X190) )
& ( 2 = b(X191) )
& $less(X191,X190) )
& ! [X193: $int,X194: $int,X195: $int] :
~ ( ( X193 != X194 )
& ( X193 != X195 )
& ( X194 != X195 )
& ( 12 = a(X193) )
& ( 10 = a(X194) )
& ( 7 = a(X195) )
& ( 5 = b(X193) )
& ( 2 = b(X194) )
& $less(b(X195),4)
& $less(X194,X193) )
& ! [X196: $int,X197: $int,X198: $int,X199: $int] :
~ ( ( X196 != X197 )
& ( X196 != X198 )
& ( X196 != X199 )
& ( X197 != X198 )
& ( X197 != X199 )
& ( X198 != X199 )
& ( 12 = a(X196) )
& ( 10 = a(X197) )
& ( 7 = a(X198) )
& ( 2 = b(X197) )
& $less(b(X198),4)
& ( 5 = b(X199) )
& $less(X197,X196) )
& ! [X200: $int,X201: $int,X202: $int] :
~ ( ( X200 != X201 )
& ( X200 != X202 )
& ( X201 != X202 )
& ( 2 = a(X200) )
& ( 10 = a(X201) )
& ( 5 = a(X202) )
& ( 5 = b(X200) )
& ( 2 = b(X201) )
& $less(X201,X200) )
& ! [X203: $int,X204: $int,X205: $int] :
~ ( ( X203 != X204 )
& ( X203 != X205 )
& ( X204 != X205 )
& ( 12 = a(X203) )
& ( 10 = a(X204) )
& ( 7 = a(X205) )
& ( 5 = b(X203) )
& $less(b(X204),3)
& ( 2 = b(X205) )
& $less(X204,X203) )
& ! [X206: $int,X207: $int,X208: $int,X209: $int] :
~ ( ( X206 != X207 )
& ( X206 != X208 )
& ( X206 != X209 )
& ( X207 != X208 )
& ( X207 != X209 )
& ( X208 != X209 )
& ( 12 = a(X206) )
& ( 10 = a(X207) )
& ( 7 = a(X208) )
& $less(b(X207),3)
& ( 2 = b(X208) )
& ( 5 = b(X209) )
& $less(X207,X206) )
& ! [X210: $int,X211: $int,X212: $int] :
~ ( ( X210 != X211 )
& ( X210 != X212 )
& ( X211 != X212 )
& ( 1 = a(X210) )
& ( 10 = a(X211) )
& ( 5 = a(X212) )
& ( 5 = b(X210) )
& ( 2 = b(X211) )
& $less(X211,X210) )
& ! [X213: $int,X214: $int,X215: $int] :
~ ( ( X213 != X214 )
& ( X213 != X215 )
& ( X214 != X215 )
& ( 12 = a(X213) )
& ( 10 = a(X214) )
& ( 6 = a(X215) )
& ( 5 = b(X213) )
& ( 2 = b(X214) )
& $less(X214,X213) )
& ! [X216: $int,X217: $int,X218: $int] :
~ ( ( X216 != X217 )
& ( X216 != X218 )
& ( X217 != X218 )
& ( 2 = a(X216) )
& ( 10 = a(X217) )
& ( 4 = a(X218) )
& ( 5 = b(X216) )
& ( 2 = b(X217) )
& $less(X217,X216) )
& ! [X219: $int,X220: $int,X221: $int] :
~ ( ( X219 != X220 )
& ( X219 != X221 )
& ( X220 != X221 )
& ( 1 = a(X219) )
& ( 10 = a(X220) )
& ( 4 = a(X221) )
& ( 5 = b(X219) )
& ( 2 = b(X220) )
& $less(X220,X219) )
& ! [X222: $int,X223: $int,X224: $int] :
~ ( ( X222 != X223 )
& ( X222 != X224 )
& ( X223 != X224 )
& ( 12 = a(X222) )
& ( 10 = a(X223) )
& ( 5 = a(X224) )
& ( 5 = b(X222) )
& ( 2 = b(X223) )
& $less(X223,X222) )
& ! [X225: $int,X226: $int,X227: $int] :
~ ( ( X225 != X226 )
& ( X225 != X227 )
& ( X226 != X227 )
& ( 12 = a(X225) )
& ( 10 = a(X226) )
& ( 4 = a(X227) )
& ( 5 = b(X225) )
& ( 2 = b(X226) )
& $less(X226,X225) )
& ! [X228: $int,X229: $int,X230: $int,X231: $int] :
~ ( ( X228 != X229 )
& ( X228 != X230 )
& ( X228 != X231 )
& ( X229 != X230 )
& ( X229 != X231 )
& ( X230 != X231 )
& ( 5 = a(X228) )
& ( 10 = a(X229) )
& ( 2 = a(X231) )
& $less(b(X229),3)
& ( 5 = b(X230) )
& $less(X229,X228) )
& ! [X232: $int,X233: $int,X234: $int,X235: $int] :
~ ( ( X232 != X233 )
& ( X232 != X234 )
& ( X232 != X235 )
& ( X233 != X234 )
& ( X233 != X235 )
& ( X234 != X235 )
& ( 4 = a(X232) )
& ( 10 = a(X233) )
& $less(b(X233),3)
& ( 5 = b(X234) )
& ( 2 = b(X235) )
& $less(X233,X232) )
& ! [X236: $int,X237: $int,X238: $int,X239: $int] :
~ ( ( X236 != X237 )
& ( X236 != X238 )
& ( X236 != X239 )
& ( X237 != X238 )
& ( X237 != X239 )
& ( X238 != X239 )
& ( 5 = a(X236) )
& ( 10 = a(X237) )
& ( 8 = a(X238) )
& ( 2 = a(X239) )
& $less(b(X237),3)
& $less(X237,X236) )
& ! [X240: $int,X241: $int,X242: $int,X243: $int] :
~ ( ( X240 != X241 )
& ( X240 != X242 )
& ( X240 != X243 )
& ( X241 != X242 )
& ( X241 != X243 )
& ( X242 != X243 )
& ( 4 = a(X240) )
& ( 10 = a(X241) )
& ( 8 = a(X242) )
& $less(b(X241),3)
& ( 2 = b(X243) )
& $less(X241,X240) )
& ! [X244: $int,X245: $int,X246: $int,X247: $int] :
~ ( ( X244 != X245 )
& ( X244 != X246 )
& ( X244 != X247 )
& ( X245 != X246 )
& ( X245 != X247 )
& ( X246 != X247 )
& ( 5 = a(X244) )
& ( 10 = a(X245) )
& ( 1 = a(X247) )
& $less(b(X245),3)
& ( 5 = b(X246) )
& $less(X245,X244) )
& ! [X248: $int,X249: $int,X250: $int,X251: $int] :
~ ( ( X248 != X249 )
& ( X248 != X250 )
& ( X248 != X251 )
& ( X249 != X250 )
& ( X249 != X251 )
& ( X250 != X251 )
& ( 4 = a(X248) )
& ( 10 = a(X249) )
& ( 2 = a(X251) )
& $less(b(X249),3)
& ( 5 = b(X250) )
& $less(X249,X248) )
& ! [X252: $int,X253: $int,X254: $int,X255: $int] :
~ ( ( X252 != X253 )
& ( X252 != X254 )
& ( X252 != X255 )
& ( X253 != X254 )
& ( X253 != X255 )
& ( X254 != X255 )
& ( 5 = a(X252) )
& ( 10 = a(X253) )
& ( 7 = a(X254) )
& ( 2 = a(X255) )
& ( 5 = b(X252) )
& $less(b(X253),3)
& $less(X253,X252) )
& ! [X256: $int,X257: $int,X258: $int,X259: $int] :
~ ( ( X256 != X257 )
& ( X256 != X258 )
& ( X256 != X259 )
& ( X257 != X258 )
& ( X257 != X259 )
& ( X258 != X259 )
& ( 7 = a(X256) )
& ( 10 = a(X257) )
& ( 5 = a(X258) )
& ( 2 = a(X259) )
& ( 5 = b(X256) )
& $less(b(X257),3)
& $less(X257,X256) )
& ! [X260: $int,X261: $int,X262: $int,X263: $int] :
~ ( ( X260 != X261 )
& ( X260 != X262 )
& ( X260 != X263 )
& ( X261 != X262 )
& ( X261 != X263 )
& ( X262 != X263 )
& ( 7 = a(X260) )
& ( 10 = a(X261) )
& ( 4 = a(X262) )
& ( 5 = b(X260) )
& $less(b(X261),3)
& ( 2 = b(X263) )
& $less(X261,X260) )
& ! [X264: $int,X265: $int,X266: $int,X267: $int] :
~ ( ( X264 != X265 )
& ( X264 != X266 )
& ( X264 != X267 )
& ( X265 != X266 )
& ( X265 != X267 )
& ( X266 != X267 )
& ( 5 = a(X264) )
& ( 10 = a(X265) )
& ( 8 = a(X266) )
& ( 1 = a(X267) )
& $less(b(X265),3)
& $less(X265,X264) )
& ! [X268: $int,X269: $int,X270: $int,X271: $int] :
~ ( ( X268 != X269 )
& ( X268 != X270 )
& ( X268 != X271 )
& ( X269 != X270 )
& ( X269 != X271 )
& ( X270 != X271 )
& ( 4 = a(X268) )
& ( 10 = a(X269) )
& ( 8 = a(X270) )
& ( 2 = a(X271) )
& $less(b(X269),3)
& $less(X269,X268) )
& ! [X272: $int,X273: $int,X274: $int,X275: $int] :
~ ( ( X272 != X273 )
& ( X272 != X274 )
& ( X272 != X275 )
& ( X273 != X274 )
& ( X273 != X275 )
& ( X274 != X275 )
& ( 5 = a(X272) )
& ( 10 = a(X273) )
& ( 7 = a(X274) )
& ( 2 = a(X275) )
& $less(b(X273),3)
& ( 5 = b(X275) )
& $less(X273,X272) )
& ! [X276: $int,X277: $int,X278: $int,X279: $int] :
~ ( ( X276 != X277 )
& ( X276 != X278 )
& ( X276 != X279 )
& ( X277 != X278 )
& ( X277 != X279 )
& ( X278 != X279 )
& ( 3 = a(X276) )
& ( 10 = a(X277) )
& ( 8 = a(X278) )
& $less(b(X276),4)
& $less(b(X277),3)
& $less(b(X278),4)
& ( 2 = b(X279) )
& $less(X277,X276) )
& ! [X280: $int,X281: $int,X282: $int,X283: $int] :
~ ( ( X280 != X281 )
& ( X280 != X282 )
& ( X280 != X283 )
& ( X281 != X282 )
& ( X281 != X283 )
& ( X282 != X283 )
& ( 4 = a(X280) )
& ( 10 = a(X281) )
& ( 7 = a(X282) )
& ( 5 = b(X280) )
& $less(b(X281),3)
& ( 2 = b(X283) )
& $less(X281,X280) )
& ! [X284: $int,X285: $int,X286: $int,X287: $int] :
~ ( ( X284 != X285 )
& ( X284 != X286 )
& ( X284 != X287 )
& ( X285 != X286 )
& ( X285 != X287 )
& ( X286 != X287 )
& ( 4 = a(X284) )
& ( 10 = a(X285) )
& ( 1 = a(X287) )
& $less(b(X285),3)
& ( 5 = b(X286) )
& $less(X285,X284) ) )
=> ~ ( ( a(z1) = 5 )
& ( a(z2) = 10 )
& ( a(z3) = 7 )
& ( a(z4) = 1 )
& $less(b(z2),3)
& ( b(z3) = 5 )
& ( b(z4) = 5 )
& $less(z2,z1) ) ),
inference(rectify,[],[f3]) ).
tff(f17,plain,
( ( a(z1) = 5 )
& ( a(z2) = 10 )
& ( a(z3) = 7 )
& ( a(z4) = 1 )
& $less(b(z2),3)
& ( b(z3) = 5 )
& ( b(z4) = 5 )
& $less(z2,z1)
& ! [X0: $int] :
( ~ $less(a(X0),1)
& ~ $less(12,a(X0)) )
& ! [X1: $int] :
( ~ $less(b(X1),1)
& ~ $less(5,b(X1)) )
& $true
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z1 != z5 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z2 != z5 )
& ( z3 != z4 )
& ( z3 != z5 )
& ( z4 != z5 )
& ! [X2: $int,X3: $int] :
( ( X2 = X3 )
| ( 10 != a(X2) )
| ( 10 != a(X3) ) )
& ! [X4: $int,X5: $int] :
( ( X4 = X5 )
| ( 9 != a(X4) )
| ( 10 != a(X5) )
| ~ $less(b(X5),3)
| ~ $less(X5,X4) )
& ! [X6: $int,X7: $int] :
( ( X6 = X7 )
| ( 8 != a(X6) )
| ( 10 != a(X7) )
| ~ $less(b(X7),3)
| ~ $less(X7,X6) )
& ! [X8: $int,X9: $int,X10: $int] :
( ( X8 = X9 )
| ( X8 = X10 )
| ( X9 = X10 )
| ( 7 != a(X8) )
| ( 10 != a(X9) )
| ~ $less(b(X9),3)
| ( 5 != b(X10) )
| ~ $less(X9,X8) )
& ! [X11: $int,X12: $int,X13: $int] :
( ( X11 = X12 )
| ( X11 = X13 )
| ( X12 = X13 )
| ( 6 != a(X11) )
| ( 10 != a(X12) )
| ~ $less(b(X12),3)
| ( 5 != b(X13) )
| ~ $less(X12,X11) )
& ! [X14: $int,X15: $int,X16: $int] :
( ( X14 = X15 )
| ( X14 = X16 )
| ( X15 = X16 )
| ( 7 != a(X14) )
| ( 10 != a(X15) )
| ( 8 != a(X16) )
| ~ $less(b(X15),3)
| ~ $less(X15,X14) )
& ! [X17: $int,X18: $int,X19: $int] :
( ( X17 = X18 )
| ( X17 = X19 )
| ( X18 = X19 )
| ( 5 != a(X17) )
| ( 10 != a(X18) )
| ( 2 != b(X18) )
| ( 5 != b(X19) )
| ~ $less(X18,X17) )
& ! [X20: $int,X21: $int,X22: $int,X23: $int] :
( ( X20 = X21 )
| ( X20 = X22 )
| ( X20 = X23 )
| ( X21 = X22 )
| ( X21 = X23 )
| ( X22 = X23 )
| ( 5 != a(X20) )
| ( 10 != a(X21) )
| ~ $less(b(X21),3)
| ( 5 != b(X22) )
| ( 2 != b(X23) )
| ~ $less(X21,X20) )
& ! [X24: $int,X25: $int,X26: $int] :
( ( X24 = X25 )
| ( X24 = X26 )
| ( X25 = X26 )
| ( 6 != a(X24) )
| ( 10 != a(X25) )
| ( 8 != a(X26) )
| ~ $less(b(X25),3)
| ~ $less(X25,X24) )
& ! [X27: $int,X28: $int,X29: $int] :
( ( X27 = X28 )
| ( X27 = X29 )
| ( X28 = X29 )
| ( 7 != a(X27) )
| ( 10 != a(X28) )
| ( 7 != a(X29) )
| ( 5 != b(X27) )
| ~ $less(b(X28),3)
| ~ $less(X28,X27) )
& ! [X30: $int,X31: $int,X32: $int] :
( ( X30 = X31 )
| ( X30 = X32 )
| ( X31 = X32 )
| ( 4 != a(X30) )
| ( 10 != a(X31) )
| ( 2 != b(X31) )
| ( 5 != b(X32) )
| ~ $less(X31,X30) )
& ! [X33: $int,X34: $int,X35: $int] :
( ( X33 = X34 )
| ( X33 = X35 )
| ( X34 = X35 )
| ( 5 != a(X33) )
| ( 10 != a(X34) )
| ( 8 != a(X35) )
| ( 2 != b(X34) )
| ~ $less(X34,X33) )
& ! [X36: $int,X37: $int,X38: $int] :
( ( X36 = X37 )
| ( X36 = X38 )
| ( X37 = X38 )
| ( 5 != a(X36) )
| ( 10 != a(X37) )
| ( 8 != a(X38) )
| ~ $less(b(X37),3)
| ( 2 != b(X38) )
| ~ $less(X37,X36) )
& ! [X39: $int,X40: $int,X41: $int,X42: $int] :
( ( X39 = X40 )
| ( X39 = X41 )
| ( X39 = X42 )
| ( X40 = X41 )
| ( X40 = X42 )
| ( X41 = X42 )
| ( 5 != a(X39) )
| ( 10 != a(X40) )
| ( 8 != a(X41) )
| ~ $less(b(X40),3)
| ( 2 != b(X42) )
| ~ $less(X40,X39) )
& ! [X43: $int,X44: $int,X45: $int] :
( ( X43 = X44 )
| ( X43 = X45 )
| ( X44 = X45 )
| ( 6 != a(X43) )
| ( 10 != a(X44) )
| ( 7 != a(X45) )
| ( 5 != b(X43) )
| ~ $less(b(X44),3)
| ~ $less(X44,X43) )
& ! [X46: $int,X47: $int,X48: $int] :
( ( X46 = X47 )
| ( X46 = X48 )
| ( X47 = X48 )
| ( 7 != a(X46) )
| ( 10 != a(X47) )
| ( 6 != a(X48) )
| ( 5 != b(X46) )
| ~ $less(b(X47),3)
| ~ $less(X47,X46) )
& ! [X49: $int,X50: $int,X51: $int] :
( ( X49 = X50 )
| ( X49 = X51 )
| ( X50 = X51 )
| ( 4 != a(X49) )
| ( 10 != a(X50) )
| ( 8 != a(X51) )
| ( 2 != b(X50) )
| ~ $less(X50,X49) )
& ! [X52: $int,X53: $int,X54: $int] :
( ( X52 = X53 )
| ( X52 = X54 )
| ( X53 = X54 )
| ( 5 != a(X52) )
| ( 10 != a(X53) )
| ( 7 != a(X54) )
| ( 5 != b(X52) )
| ( 2 != b(X53) )
| ~ $less(X53,X52) )
& ! [X55: $int,X56: $int,X57: $int] :
( ( X55 = X56 )
| ( X55 = X57 )
| ( X56 = X57 )
| ( 4 != a(X55) )
| ( 10 != a(X56) )
| ( 8 != a(X57) )
| ~ $less(b(X56),3)
| ( 2 != b(X57) )
| ~ $less(X56,X55) )
& ! [X58: $int,X59: $int,X60: $int] :
( ( X58 = X59 )
| ( X58 = X60 )
| ( X59 = X60 )
| ( 5 != a(X58) )
| ( 10 != a(X59) )
| ( 7 != a(X60) )
| ( 5 != b(X58) )
| ~ $less(b(X59),3)
| ( 2 != b(X60) )
| ~ $less(X59,X58) )
& ! [X61: $int,X62: $int,X63: $int,X64: $int] :
( ( X61 = X62 )
| ( X61 = X63 )
| ( X61 = X64 )
| ( X62 = X63 )
| ( X62 = X64 )
| ( X63 = X64 )
| ( 5 != a(X61) )
| ( 10 != a(X62) )
| ( 7 != a(X63) )
| ( 5 != b(X61) )
| ~ $less(b(X62),3)
| ( 2 != b(X64) )
| ~ $less(X62,X61) )
& ! [X65: $int,X66: $int,X67: $int] :
( ( X65 = X66 )
| ( X65 = X67 )
| ( X66 = X67 )
| ( 6 != a(X65) )
| ( 10 != a(X66) )
| ( 6 != a(X67) )
| ( 5 != b(X65) )
| ~ $less(b(X66),3)
| ~ $less(X66,X65) )
& ! [X68: $int,X69: $int,X70: $int] :
( ( X68 = X69 )
| ( X68 = X70 )
| ( X69 = X70 )
| ( 7 != a(X68) )
| ( 10 != a(X69) )
| ( 5 != a(X70) )
| ( 5 != b(X68) )
| ( 2 != b(X69) )
| ~ $less(X69,X68) )
& ! [X71: $int,X72: $int,X73: $int,X74: $int] :
( ( X71 = X72 )
| ( X71 = X73 )
| ( X71 = X74 )
| ( X72 = X73 )
| ( X72 = X74 )
| ( X73 = X74 )
| ( 7 != a(X71) )
| ( 10 != a(X72) )
| ( 5 != a(X73) )
| ( 5 != b(X71) )
| ~ $less(b(X72),3)
| ( 2 != b(X74) )
| ~ $less(X72,X71) )
& ! [X75: $int,X76: $int,X77: $int] :
( ( X75 = X76 )
| ( X75 = X77 )
| ( X76 = X77 )
| ( 3 != a(X75) )
| ( 10 != a(X76) )
| ( 8 != a(X77) )
| ~ $less(b(X75),4)
| ( 2 != b(X76) )
| ~ $less(b(X77),4)
| ~ $less(X76,X75) )
& ! [X78: $int,X79: $int,X80: $int] :
( ( X78 = X79 )
| ( X78 = X80 )
| ( X79 = X80 )
| ( 4 != a(X78) )
| ( 10 != a(X79) )
| ( 7 != a(X80) )
| ( 5 != b(X78) )
| ( 2 != b(X79) )
| ~ $less(X79,X78) )
& ! [X81: $int,X82: $int,X83: $int] :
( ( X81 = X82 )
| ( X81 = X83 )
| ( X82 = X83 )
| ( 5 != a(X81) )
| ( 10 != a(X82) )
| ( 6 != a(X83) )
| ( 5 != b(X81) )
| ( 2 != b(X82) )
| ~ $less(X82,X81) )
& ! [X84: $int,X85: $int,X86: $int] :
( ( X84 = X85 )
| ( X84 = X86 )
| ( X85 = X86 )
| ( 3 != a(X84) )
| ( 10 != a(X85) )
| ( 8 != a(X86) )
| ~ $less(b(X84),4)
| ~ $less(b(X85),3)
| ( 2 != b(X86) )
| ~ $less(X85,X84) )
& ! [X87: $int,X88: $int,X89: $int] :
( ( X87 = X88 )
| ( X87 = X89 )
| ( X88 = X89 )
| ( 4 != a(X87) )
| ( 10 != a(X88) )
| ( 7 != a(X89) )
| ( 5 != b(X87) )
| ~ $less(b(X88),3)
| ( 2 != b(X89) )
| ~ $less(X88,X87) )
& ! [X90: $int,X91: $int,X92: $int,X93: $int] :
( ( X90 = X91 )
| ( X90 = X92 )
| ( X90 = X93 )
| ( X91 = X92 )
| ( X91 = X93 )
| ( X92 = X93 )
| ( 4 != a(X90) )
| ( 10 != a(X91) )
| ( 7 != a(X92) )
| ~ $less(b(X91),3)
| ( 2 != b(X92) )
| ( 5 != b(X93) )
| ~ $less(X91,X90) )
& ! [X94: $int,X95: $int,X96: $int] :
( ( X94 = X95 )
| ( X94 = X96 )
| ( X95 = X96 )
| ( 5 != a(X94) )
| ( 10 != a(X95) )
| ( 6 != a(X96) )
| ( 5 != b(X94) )
| ~ $less(b(X95),3)
| ( 2 != b(X96) )
| ~ $less(X95,X94) )
& ! [X97: $int,X98: $int,X99: $int,X100: $int] :
( ( X97 = X98 )
| ( X97 = X99 )
| ( X97 = X100 )
| ( X98 = X99 )
| ( X98 = X100 )
| ( X99 = X100 )
| ( 5 != a(X97) )
| ( 10 != a(X98) )
| ( 6 != a(X99) )
| ( 5 != b(X97) )
| ~ $less(b(X98),3)
| ( 2 != b(X100) )
| ~ $less(X98,X97) )
& ! [X101: $int,X102: $int,X103: $int] :
( ( X101 = X102 )
| ( X101 = X103 )
| ( X102 = X103 )
| ( 6 != a(X101) )
| ( 10 != a(X102) )
| ( 5 != a(X103) )
| ( 5 != b(X101) )
| ( 2 != b(X102) )
| ~ $less(X102,X101) )
& ! [X104: $int,X105: $int,X106: $int,X107: $int] :
( ( X104 = X105 )
| ( X104 = X106 )
| ( X104 = X107 )
| ( X105 = X106 )
| ( X105 = X107 )
| ( X106 = X107 )
| ( 6 != a(X104) )
| ( 10 != a(X105) )
| ( 5 != a(X106) )
| ( 5 != b(X104) )
| ~ $less(b(X105),3)
| ( 2 != b(X107) )
| ~ $less(X105,X104) )
& ! [X108: $int,X109: $int,X110: $int] :
( ( X108 = X109 )
| ( X108 = X110 )
| ( X109 = X110 )
| ( 7 != a(X108) )
| ( 10 != a(X109) )
| ( 4 != a(X110) )
| ( 5 != b(X108) )
| ( 2 != b(X109) )
| ~ $less(X109,X108) )
& ! [X111: $int,X112: $int,X113: $int] :
( ( X111 = X112 )
| ( X111 = X113 )
| ( X112 = X113 )
| ( 2 != a(X111) )
| ( 10 != a(X112) )
| ( 8 != a(X113) )
| ( 2 != b(X112) )
| ~ $less(b(X113),4)
| ~ $less(X112,X111) )
& ! [X114: $int,X115: $int,X116: $int,X117: $int] :
( ( X114 = X115 )
| ( X114 = X116 )
| ( X114 = X117 )
| ( X115 = X116 )
| ( X115 = X117 )
| ( X116 = X117 )
| ( 3 != a(X114) )
| ( 10 != a(X115) )
| ( 7 != a(X116) )
| ~ $less(b(X114),4)
| ( 2 != b(X115) )
| ~ $less(b(X116),4)
| ( 5 != b(X117) )
| ~ $less(X115,X114) )
& ! [X118: $int,X119: $int,X120: $int] :
( ( X118 = X119 )
| ( X118 = X120 )
| ( X119 = X120 )
| ( 4 != a(X118) )
| ( 10 != a(X119) )
| ( 6 != a(X120) )
| ( 5 != b(X118) )
| ( 2 != b(X119) )
| ~ $less(X119,X118) )
& ! [X121: $int,X122: $int,X123: $int] :
( ( X121 = X122 )
| ( X121 = X123 )
| ( X122 = X123 )
| ( 5 != a(X121) )
| ( 10 != a(X122) )
| ( 5 != a(X123) )
| ( 5 != b(X121) )
| ( 2 != b(X122) )
| ~ $less(X122,X121) )
& ! [X124: $int,X125: $int,X126: $int] :
( ( X124 = X125 )
| ( X124 = X126 )
| ( X125 = X126 )
| ( 2 != a(X124) )
| ( 10 != a(X125) )
| ( 8 != a(X126) )
| ~ $less(b(X125),3)
| ( 2 != b(X126) )
| ~ $less(X125,X124) )
& ! [X127: $int,X128: $int,X129: $int,X130: $int] :
( ( X127 = X128 )
| ( X127 = X129 )
| ( X127 = X130 )
| ( X128 = X129 )
| ( X128 = X130 )
| ( X129 = X130 )
| ( 3 != a(X127) )
| ( 10 != a(X128) )
| ( 7 != a(X129) )
| ~ $less(b(X127),4)
| ~ $less(b(X128),3)
| ( 2 != b(X129) )
| ( 5 != b(X130) )
| ~ $less(X128,X127) )
& ! [X131: $int,X132: $int,X133: $int,X134: $int] :
( ( X131 = X132 )
| ( X131 = X133 )
| ( X131 = X134 )
| ( X132 = X133 )
| ( X132 = X134 )
| ( X133 = X134 )
| ( 5 != a(X131) )
| ( 10 != a(X132) )
| ( 5 != a(X133) )
| ( 5 != b(X131) )
| ~ $less(b(X132),3)
| ( 2 != b(X133) )
| ( 2 != b(X134) )
| ~ $less(X132,X131) )
& ! [X135: $int,X136: $int,X137: $int] :
( ( X135 = X136 )
| ( X135 = X137 )
| ( X136 = X137 )
| ( 6 != a(X135) )
| ( 10 != a(X136) )
| ( 4 != a(X137) )
| ( 5 != b(X135) )
| ( 2 != b(X136) )
| ~ $less(X136,X135) )
& ! [X138: $int,X139: $int,X140: $int] :
( ( X138 = X139 )
| ( X138 = X140 )
| ( X139 = X140 )
| ( 1 != a(X138) )
| ( 10 != a(X139) )
| ( 8 != a(X140) )
| ( 2 != b(X139) )
| ~ $less(b(X140),4)
| ~ $less(X139,X138) )
& ! [X141: $int,X142: $int,X143: $int] :
( ( X141 = X142 )
| ( X141 = X143 )
| ( X142 = X143 )
| ( 2 != a(X141) )
| ( 10 != a(X142) )
| ( 7 != a(X143) )
| ( 5 != b(X141) )
| ( 2 != b(X142) )
| ~ $less(b(X143),4)
| ~ $less(X142,X141) )
& ! [X144: $int,X145: $int,X146: $int,X147: $int] :
( ( X144 = X145 )
| ( X144 = X146 )
| ( X144 = X147 )
| ( X145 = X146 )
| ( X145 = X147 )
| ( X146 = X147 )
| ( 2 != a(X144) )
| ( 10 != a(X145) )
| ( 7 != a(X146) )
| ( 2 != b(X145) )
| ~ $less(b(X146),4)
| ( 5 != b(X147) )
| ~ $less(X145,X144) )
& ! [X148: $int,X149: $int,X150: $int] :
( ( X148 = X149 )
| ( X148 = X150 )
| ( X149 = X150 )
| ( 4 != a(X148) )
| ( 10 != a(X149) )
| ( 5 != a(X150) )
| ( 5 != b(X148) )
| ( 2 != b(X149) )
| ~ $less(X149,X148) )
& ! [X151: $int,X152: $int,X153: $int] :
( ( X151 = X152 )
| ( X151 = X153 )
| ( X152 = X153 )
| ( 5 != a(X151) )
| ( 10 != a(X152) )
| ( 4 != a(X153) )
| ( 5 != b(X151) )
| ( 2 != b(X152) )
| ~ $less(X152,X151) )
& ! [X154: $int,X155: $int,X156: $int] :
( ( X154 = X155 )
| ( X154 = X156 )
| ( X155 = X156 )
| ( 1 != a(X154) )
| ( 10 != a(X155) )
| ( 8 != a(X156) )
| ~ $less(b(X155),3)
| ( 2 != b(X156) )
| ~ $less(X155,X154) )
& ! [X157: $int,X158: $int,X159: $int] :
( ( X157 = X158 )
| ( X157 = X159 )
| ( X158 = X159 )
| ( 2 != a(X157) )
| ( 10 != a(X158) )
| ( 7 != a(X159) )
| ( 5 != b(X157) )
| ~ $less(b(X158),3)
| ( 2 != b(X159) )
| ~ $less(X158,X157) )
& ! [X160: $int,X161: $int,X162: $int,X163: $int] :
( ( X160 = X161 )
| ( X160 = X162 )
| ( X160 = X163 )
| ( X161 = X162 )
| ( X161 = X163 )
| ( X162 = X163 )
| ( 2 != a(X160) )
| ( 10 != a(X161) )
| ( 7 != a(X162) )
| ~ $less(b(X161),3)
| ( 2 != b(X162) )
| ( 5 != b(X163) )
| ~ $less(X161,X160) )
& ! [X164: $int,X165: $int,X166: $int] :
( ( X164 = X165 )
| ( X164 = X166 )
| ( X165 = X166 )
| ( 1 != a(X164) )
| ( 10 != a(X165) )
| ( 7 != a(X166) )
| ( 5 != b(X164) )
| ( 2 != b(X165) )
| ~ $less(b(X166),4)
| ~ $less(X165,X164) )
& ! [X167: $int,X168: $int,X169: $int,X170: $int] :
( ( X167 = X168 )
| ( X167 = X169 )
| ( X167 = X170 )
| ( X168 = X169 )
| ( X168 = X170 )
| ( X169 = X170 )
| ( 1 != a(X167) )
| ( 10 != a(X168) )
| ( 7 != a(X169) )
| ( 2 != b(X168) )
| ~ $less(b(X169),4)
| ( 5 != b(X170) )
| ~ $less(X168,X167) )
& ! [X171: $int,X172: $int,X173: $int] :
( ( X171 = X172 )
| ( X171 = X173 )
| ( X172 = X173 )
| ( 12 != a(X171) )
| ( 10 != a(X172) )
| ( 8 != a(X173) )
| ( 2 != b(X172) )
| ~ $less(b(X173),4)
| ~ $less(X172,X171) )
& ! [X174: $int,X175: $int,X176: $int] :
( ( X174 = X175 )
| ( X174 = X176 )
| ( X175 = X176 )
| ( 2 != a(X174) )
| ( 10 != a(X175) )
| ( 6 != a(X176) )
| ( 5 != b(X174) )
| ( 2 != b(X175) )
| ~ $less(X175,X174) )
& ! [X177: $int,X178: $int,X179: $int] :
( ( X177 = X178 )
| ( X177 = X179 )
| ( X178 = X179 )
| ( 4 != a(X177) )
| ( 10 != a(X178) )
| ( 4 != a(X179) )
| ( 5 != b(X177) )
| ( 2 != b(X178) )
| ~ $less(X178,X177) )
& ! [X180: $int,X181: $int,X182: $int] :
( ( X180 = X181 )
| ( X180 = X182 )
| ( X181 = X182 )
| ( 1 != a(X180) )
| ( 10 != a(X181) )
| ( 7 != a(X182) )
| ( 5 != b(X180) )
| ~ $less(b(X181),3)
| ( 2 != b(X182) )
| ~ $less(X181,X180) )
& ! [X183: $int,X184: $int,X185: $int,X186: $int] :
( ( X183 = X184 )
| ( X183 = X185 )
| ( X183 = X186 )
| ( X184 = X185 )
| ( X184 = X186 )
| ( X185 = X186 )
| ( 1 != a(X183) )
| ( 10 != a(X184) )
| ( 7 != a(X185) )
| ~ $less(b(X184),3)
| ( 2 != b(X185) )
| ( 5 != b(X186) )
| ~ $less(X184,X183) )
& ! [X187: $int,X188: $int,X189: $int] :
( ( X187 = X188 )
| ( X187 = X189 )
| ( X188 = X189 )
| ( 12 != a(X187) )
| ( 10 != a(X188) )
| ( 8 != a(X189) )
| ~ $less(b(X188),3)
| ( 2 != b(X189) )
| ~ $less(X188,X187) )
& ! [X190: $int,X191: $int,X192: $int] :
( ( X190 = X191 )
| ( X190 = X192 )
| ( X191 = X192 )
| ( 1 != a(X190) )
| ( 10 != a(X191) )
| ( 6 != a(X192) )
| ( 5 != b(X190) )
| ( 2 != b(X191) )
| ~ $less(X191,X190) )
& ! [X193: $int,X194: $int,X195: $int] :
( ( X193 = X194 )
| ( X193 = X195 )
| ( X194 = X195 )
| ( 12 != a(X193) )
| ( 10 != a(X194) )
| ( 7 != a(X195) )
| ( 5 != b(X193) )
| ( 2 != b(X194) )
| ~ $less(b(X195),4)
| ~ $less(X194,X193) )
& ! [X196: $int,X197: $int,X198: $int,X199: $int] :
( ( X196 = X197 )
| ( X196 = X198 )
| ( X196 = X199 )
| ( X197 = X198 )
| ( X197 = X199 )
| ( X198 = X199 )
| ( 12 != a(X196) )
| ( 10 != a(X197) )
| ( 7 != a(X198) )
| ( 2 != b(X197) )
| ~ $less(b(X198),4)
| ( 5 != b(X199) )
| ~ $less(X197,X196) )
& ! [X200: $int,X201: $int,X202: $int] :
( ( X200 = X201 )
| ( X200 = X202 )
| ( X201 = X202 )
| ( 2 != a(X200) )
| ( 10 != a(X201) )
| ( 5 != a(X202) )
| ( 5 != b(X200) )
| ( 2 != b(X201) )
| ~ $less(X201,X200) )
& ! [X203: $int,X204: $int,X205: $int] :
( ( X203 = X204 )
| ( X203 = X205 )
| ( X204 = X205 )
| ( 12 != a(X203) )
| ( 10 != a(X204) )
| ( 7 != a(X205) )
| ( 5 != b(X203) )
| ~ $less(b(X204),3)
| ( 2 != b(X205) )
| ~ $less(X204,X203) )
& ! [X206: $int,X207: $int,X208: $int,X209: $int] :
( ( X206 = X207 )
| ( X206 = X208 )
| ( X206 = X209 )
| ( X207 = X208 )
| ( X207 = X209 )
| ( X208 = X209 )
| ( 12 != a(X206) )
| ( 10 != a(X207) )
| ( 7 != a(X208) )
| ~ $less(b(X207),3)
| ( 2 != b(X208) )
| ( 5 != b(X209) )
| ~ $less(X207,X206) )
& ! [X210: $int,X211: $int,X212: $int] :
( ( X210 = X211 )
| ( X210 = X212 )
| ( X211 = X212 )
| ( 1 != a(X210) )
| ( 10 != a(X211) )
| ( 5 != a(X212) )
| ( 5 != b(X210) )
| ( 2 != b(X211) )
| ~ $less(X211,X210) )
& ! [X213: $int,X214: $int,X215: $int] :
( ( X213 = X214 )
| ( X213 = X215 )
| ( X214 = X215 )
| ( 12 != a(X213) )
| ( 10 != a(X214) )
| ( 6 != a(X215) )
| ( 5 != b(X213) )
| ( 2 != b(X214) )
| ~ $less(X214,X213) )
& ! [X216: $int,X217: $int,X218: $int] :
( ( X216 = X217 )
| ( X216 = X218 )
| ( X217 = X218 )
| ( 2 != a(X216) )
| ( 10 != a(X217) )
| ( 4 != a(X218) )
| ( 5 != b(X216) )
| ( 2 != b(X217) )
| ~ $less(X217,X216) )
& ! [X219: $int,X220: $int,X221: $int] :
( ( X219 = X220 )
| ( X219 = X221 )
| ( X220 = X221 )
| ( 1 != a(X219) )
| ( 10 != a(X220) )
| ( 4 != a(X221) )
| ( 5 != b(X219) )
| ( 2 != b(X220) )
| ~ $less(X220,X219) )
& ! [X222: $int,X223: $int,X224: $int] :
( ( X222 = X223 )
| ( X222 = X224 )
| ( X223 = X224 )
| ( 12 != a(X222) )
| ( 10 != a(X223) )
| ( 5 != a(X224) )
| ( 5 != b(X222) )
| ( 2 != b(X223) )
| ~ $less(X223,X222) )
& ! [X225: $int,X226: $int,X227: $int] :
( ( X225 = X226 )
| ( X225 = X227 )
| ( X226 = X227 )
| ( 12 != a(X225) )
| ( 10 != a(X226) )
| ( 4 != a(X227) )
| ( 5 != b(X225) )
| ( 2 != b(X226) )
| ~ $less(X226,X225) )
& ! [X228: $int,X229: $int,X230: $int,X231: $int] :
( ( X228 = X229 )
| ( X228 = X230 )
| ( X228 = X231 )
| ( X229 = X230 )
| ( X229 = X231 )
| ( X230 = X231 )
| ( 5 != a(X228) )
| ( 10 != a(X229) )
| ( 2 != a(X231) )
| ~ $less(b(X229),3)
| ( 5 != b(X230) )
| ~ $less(X229,X228) )
& ! [X232: $int,X233: $int,X234: $int,X235: $int] :
( ( X232 = X233 )
| ( X232 = X234 )
| ( X232 = X235 )
| ( X233 = X234 )
| ( X233 = X235 )
| ( X234 = X235 )
| ( 4 != a(X232) )
| ( 10 != a(X233) )
| ~ $less(b(X233),3)
| ( 5 != b(X234) )
| ( 2 != b(X235) )
| ~ $less(X233,X232) )
& ! [X236: $int,X237: $int,X238: $int,X239: $int] :
( ( X236 = X237 )
| ( X236 = X238 )
| ( X236 = X239 )
| ( X237 = X238 )
| ( X237 = X239 )
| ( X238 = X239 )
| ( 5 != a(X236) )
| ( 10 != a(X237) )
| ( 8 != a(X238) )
| ( 2 != a(X239) )
| ~ $less(b(X237),3)
| ~ $less(X237,X236) )
& ! [X240: $int,X241: $int,X242: $int,X243: $int] :
( ( X240 = X241 )
| ( X240 = X242 )
| ( X240 = X243 )
| ( X241 = X242 )
| ( X241 = X243 )
| ( X242 = X243 )
| ( 4 != a(X240) )
| ( 10 != a(X241) )
| ( 8 != a(X242) )
| ~ $less(b(X241),3)
| ( 2 != b(X243) )
| ~ $less(X241,X240) )
& ! [X244: $int,X245: $int,X246: $int,X247: $int] :
( ( X244 = X245 )
| ( X244 = X246 )
| ( X244 = X247 )
| ( X245 = X246 )
| ( X245 = X247 )
| ( X246 = X247 )
| ( 5 != a(X244) )
| ( 10 != a(X245) )
| ( 1 != a(X247) )
| ~ $less(b(X245),3)
| ( 5 != b(X246) )
| ~ $less(X245,X244) )
& ! [X248: $int,X249: $int,X250: $int,X251: $int] :
( ( X248 = X249 )
| ( X248 = X250 )
| ( X248 = X251 )
| ( X249 = X250 )
| ( X249 = X251 )
| ( X250 = X251 )
| ( 4 != a(X248) )
| ( 10 != a(X249) )
| ( 2 != a(X251) )
| ~ $less(b(X249),3)
| ( 5 != b(X250) )
| ~ $less(X249,X248) )
& ! [X252: $int,X253: $int,X254: $int,X255: $int] :
( ( X252 = X253 )
| ( X252 = X254 )
| ( X252 = X255 )
| ( X253 = X254 )
| ( X253 = X255 )
| ( X254 = X255 )
| ( 5 != a(X252) )
| ( 10 != a(X253) )
| ( 7 != a(X254) )
| ( 2 != a(X255) )
| ( 5 != b(X252) )
| ~ $less(b(X253),3)
| ~ $less(X253,X252) )
& ! [X256: $int,X257: $int,X258: $int,X259: $int] :
( ( X256 = X257 )
| ( X256 = X258 )
| ( X256 = X259 )
| ( X257 = X258 )
| ( X257 = X259 )
| ( X258 = X259 )
| ( 7 != a(X256) )
| ( 10 != a(X257) )
| ( 5 != a(X258) )
| ( 2 != a(X259) )
| ( 5 != b(X256) )
| ~ $less(b(X257),3)
| ~ $less(X257,X256) )
& ! [X260: $int,X261: $int,X262: $int,X263: $int] :
( ( X260 = X261 )
| ( X260 = X262 )
| ( X260 = X263 )
| ( X261 = X262 )
| ( X261 = X263 )
| ( X262 = X263 )
| ( 7 != a(X260) )
| ( 10 != a(X261) )
| ( 4 != a(X262) )
| ( 5 != b(X260) )
| ~ $less(b(X261),3)
| ( 2 != b(X263) )
| ~ $less(X261,X260) )
& ! [X264: $int,X265: $int,X266: $int,X267: $int] :
( ( X264 = X265 )
| ( X264 = X266 )
| ( X264 = X267 )
| ( X265 = X266 )
| ( X265 = X267 )
| ( X266 = X267 )
| ( 5 != a(X264) )
| ( 10 != a(X265) )
| ( 8 != a(X266) )
| ( 1 != a(X267) )
| ~ $less(b(X265),3)
| ~ $less(X265,X264) )
& ! [X268: $int,X269: $int,X270: $int,X271: $int] :
( ( X268 = X269 )
| ( X268 = X270 )
| ( X268 = X271 )
| ( X269 = X270 )
| ( X269 = X271 )
| ( X270 = X271 )
| ( 4 != a(X268) )
| ( 10 != a(X269) )
| ( 8 != a(X270) )
| ( 2 != a(X271) )
| ~ $less(b(X269),3)
| ~ $less(X269,X268) )
& ! [X272: $int,X273: $int,X274: $int,X275: $int] :
( ( X272 = X273 )
| ( X272 = X274 )
| ( X272 = X275 )
| ( X273 = X274 )
| ( X273 = X275 )
| ( X274 = X275 )
| ( 5 != a(X272) )
| ( 10 != a(X273) )
| ( 7 != a(X274) )
| ( 2 != a(X275) )
| ~ $less(b(X273),3)
| ( 5 != b(X275) )
| ~ $less(X273,X272) )
& ! [X276: $int,X277: $int,X278: $int,X279: $int] :
( ( X276 = X277 )
| ( X276 = X278 )
| ( X276 = X279 )
| ( X277 = X278 )
| ( X277 = X279 )
| ( X278 = X279 )
| ( 3 != a(X276) )
| ( 10 != a(X277) )
| ( 8 != a(X278) )
| ~ $less(b(X276),4)
| ~ $less(b(X277),3)
| ~ $less(b(X278),4)
| ( 2 != b(X279) )
| ~ $less(X277,X276) )
& ! [X280: $int,X281: $int,X282: $int,X283: $int] :
( ( X280 = X281 )
| ( X280 = X282 )
| ( X280 = X283 )
| ( X281 = X282 )
| ( X281 = X283 )
| ( X282 = X283 )
| ( 4 != a(X280) )
| ( 10 != a(X281) )
| ( 7 != a(X282) )
| ( 5 != b(X280) )
| ~ $less(b(X281),3)
| ( 2 != b(X283) )
| ~ $less(X281,X280) )
& ! [X284: $int,X285: $int,X286: $int,X287: $int] :
( ( X284 = X285 )
| ( X284 = X286 )
| ( X284 = X287 )
| ( X285 = X286 )
| ( X285 = X287 )
| ( X286 = X287 )
| ( 4 != a(X284) )
| ( 10 != a(X285) )
| ( 1 != a(X287) )
| ~ $less(b(X285),3)
| ( 5 != b(X286) )
| ~ $less(X285,X284) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f18,plain,
( ( a(z1) = 5 )
& ( a(z2) = 10 )
& ( a(z3) = 7 )
& ( a(z4) = 1 )
& $less(b(z2),3)
& ( b(z3) = 5 )
& ( b(z4) = 5 )
& $less(z2,z1)
& ! [X0: $int] :
( ~ $less(a(X0),1)
& ~ $less(12,a(X0)) )
& ! [X1: $int] :
( ~ $less(b(X1),1)
& ~ $less(5,b(X1)) )
& $true
& ( z1 != z2 )
& ( z1 != z3 )
& ( z1 != z4 )
& ( z1 != z5 )
& ( z2 != z3 )
& ( z2 != z4 )
& ( z2 != z5 )
& ( z3 != z4 )
& ( z3 != z5 )
& ( z4 != z5 )
& ! [X2: $int,X3: $int] :
( ( X2 = X3 )
| ( 10 != a(X2) )
| ( 10 != a(X3) ) )
& ! [X4: $int,X5: $int] :
( ( X4 = X5 )
| ( 9 != a(X4) )
| ( 10 != a(X5) )
| ~ $less(b(X5),3)
| ~ $less(X5,X4) )
& ! [X6: $int,X7: $int] :
( ( X6 = X7 )
| ( 8 != a(X6) )
| ( 10 != a(X7) )
| ~ $less(b(X7),3)
| ~ $less(X7,X6) )
& ! [X8: $int,X9: $int,X10: $int] :
( ( X8 = X9 )
| ( X8 = X10 )
| ( X9 = X10 )
| ( 7 != a(X8) )
| ( 10 != a(X9) )
| ~ $less(b(X9),3)
| ( 5 != b(X10) )
| ~ $less(X9,X8) )
& ! [X11: $int,X12: $int,X13: $int] :
( ( X11 = X12 )
| ( X11 = X13 )
| ( X12 = X13 )
| ( 6 != a(X11) )
| ( 10 != a(X12) )
| ~ $less(b(X12),3)
| ( 5 != b(X13) )
| ~ $less(X12,X11) )
& ! [X14: $int,X15: $int,X16: $int] :
( ( X14 = X15 )
| ( X14 = X16 )
| ( X15 = X16 )
| ( 7 != a(X14) )
| ( 10 != a(X15) )
| ( 8 != a(X16) )
| ~ $less(b(X15),3)
| ~ $less(X15,X14) )
& ! [X17: $int,X18: $int,X19: $int] :
( ( X17 = X18 )
| ( X17 = X19 )
| ( X18 = X19 )
| ( 5 != a(X17) )
| ( 10 != a(X18) )
| ( 2 != b(X18) )
| ( 5 != b(X19) )
| ~ $less(X18,X17) )
& ! [X20: $int,X21: $int,X22: $int,X23: $int] :
( ( X20 = X21 )
| ( X20 = X22 )
| ( X20 = X23 )
| ( X21 = X22 )
| ( X21 = X23 )
| ( X22 = X23 )
| ( 5 != a(X20) )
| ( 10 != a(X21) )
| ~ $less(b(X21),3)
| ( 5 != b(X22) )
| ( 2 != b(X23) )
| ~ $less(X21,X20) )
& ! [X24: $int,X25: $int,X26: $int] :
( ( X24 = X25 )
| ( X24 = X26 )
| ( X25 = X26 )
| ( 6 != a(X24) )
| ( 10 != a(X25) )
| ( 8 != a(X26) )
| ~ $less(b(X25),3)
| ~ $less(X25,X24) )
& ! [X27: $int,X28: $int,X29: $int] :
( ( X27 = X28 )
| ( X27 = X29 )
| ( X28 = X29 )
| ( 7 != a(X27) )
| ( 10 != a(X28) )
| ( 7 != a(X29) )
| ( 5 != b(X27) )
| ~ $less(b(X28),3)
| ~ $less(X28,X27) )
& ! [X30: $int,X31: $int,X32: $int] :
( ( X30 = X31 )
| ( X30 = X32 )
| ( X31 = X32 )
| ( 4 != a(X30) )
| ( 10 != a(X31) )
| ( 2 != b(X31) )
| ( 5 != b(X32) )
| ~ $less(X31,X30) )
& ! [X33: $int,X34: $int,X35: $int] :
( ( X33 = X34 )
| ( X33 = X35 )
| ( X34 = X35 )
| ( 5 != a(X33) )
| ( 10 != a(X34) )
| ( 8 != a(X35) )
| ( 2 != b(X34) )
| ~ $less(X34,X33) )
& ! [X36: $int,X37: $int,X38: $int] :
( ( X36 = X37 )
| ( X36 = X38 )
| ( X37 = X38 )
| ( 5 != a(X36) )
| ( 10 != a(X37) )
| ( 8 != a(X38) )
| ~ $less(b(X37),3)
| ( 2 != b(X38) )
| ~ $less(X37,X36) )
& ! [X39: $int,X40: $int,X41: $int,X42: $int] :
( ( X39 = X40 )
| ( X39 = X41 )
| ( X39 = X42 )
| ( X40 = X41 )
| ( X40 = X42 )
| ( X41 = X42 )
| ( 5 != a(X39) )
| ( 10 != a(X40) )
| ( 8 != a(X41) )
| ~ $less(b(X40),3)
| ( 2 != b(X42) )
| ~ $less(X40,X39) )
& ! [X43: $int,X44: $int,X45: $int] :
( ( X43 = X44 )
| ( X43 = X45 )
| ( X44 = X45 )
| ( 6 != a(X43) )
| ( 10 != a(X44) )
| ( 7 != a(X45) )
| ( 5 != b(X43) )
| ~ $less(b(X44),3)
| ~ $less(X44,X43) )
& ! [X46: $int,X47: $int,X48: $int] :
( ( X46 = X47 )
| ( X46 = X48 )
| ( X47 = X48 )
| ( 7 != a(X46) )
| ( 10 != a(X47) )
| ( 6 != a(X48) )
| ( 5 != b(X46) )
| ~ $less(b(X47),3)
| ~ $less(X47,X46) )
& ! [X49: $int,X50: $int,X51: $int] :
( ( X49 = X50 )
| ( X49 = X51 )
| ( X50 = X51 )
| ( 4 != a(X49) )
| ( 10 != a(X50) )
| ( 8 != a(X51) )
| ( 2 != b(X50) )
| ~ $less(X50,X49) )
& ! [X52: $int,X53: $int,X54: $int] :
( ( X52 = X53 )
| ( X52 = X54 )
| ( X53 = X54 )
| ( 5 != a(X52) )
| ( 10 != a(X53) )
| ( 7 != a(X54) )
| ( 5 != b(X52) )
| ( 2 != b(X53) )
| ~ $less(X53,X52) )
& ! [X55: $int,X56: $int,X57: $int] :
( ( X55 = X56 )
| ( X55 = X57 )
| ( X56 = X57 )
| ( 4 != a(X55) )
| ( 10 != a(X56) )
| ( 8 != a(X57) )
| ~ $less(b(X56),3)
| ( 2 != b(X57) )
| ~ $less(X56,X55) )
& ! [X58: $int,X59: $int,X60: $int] :
( ( X58 = X59 )
| ( X58 = X60 )
| ( X59 = X60 )
| ( 5 != a(X58) )
| ( 10 != a(X59) )
| ( 7 != a(X60) )
| ( 5 != b(X58) )
| ~ $less(b(X59),3)
| ( 2 != b(X60) )
| ~ $less(X59,X58) )
& ! [X61: $int,X62: $int,X63: $int,X64: $int] :
( ( X61 = X62 )
| ( X61 = X63 )
| ( X61 = X64 )
| ( X62 = X63 )
| ( X62 = X64 )
| ( X63 = X64 )
| ( 5 != a(X61) )
| ( 10 != a(X62) )
| ( 7 != a(X63) )
| ( 5 != b(X61) )
| ~ $less(b(X62),3)
| ( 2 != b(X64) )
| ~ $less(X62,X61) )
& ! [X65: $int,X66: $int,X67: $int] :
( ( X65 = X66 )
| ( X65 = X67 )
| ( X66 = X67 )
| ( 6 != a(X65) )
| ( 10 != a(X66) )
| ( 6 != a(X67) )
| ( 5 != b(X65) )
| ~ $less(b(X66),3)
| ~ $less(X66,X65) )
& ! [X68: $int,X69: $int,X70: $int] :
( ( X68 = X69 )
| ( X68 = X70 )
| ( X69 = X70 )
| ( 7 != a(X68) )
| ( 10 != a(X69) )
| ( 5 != a(X70) )
| ( 5 != b(X68) )
| ( 2 != b(X69) )
| ~ $less(X69,X68) )
& ! [X71: $int,X72: $int,X73: $int,X74: $int] :
( ( X71 = X72 )
| ( X71 = X73 )
| ( X71 = X74 )
| ( X72 = X73 )
| ( X72 = X74 )
| ( X73 = X74 )
| ( 7 != a(X71) )
| ( 10 != a(X72) )
| ( 5 != a(X73) )
| ( 5 != b(X71) )
| ~ $less(b(X72),3)
| ( 2 != b(X74) )
| ~ $less(X72,X71) )
& ! [X75: $int,X76: $int,X77: $int] :
( ( X75 = X76 )
| ( X75 = X77 )
| ( X76 = X77 )
| ( 3 != a(X75) )
| ( 10 != a(X76) )
| ( 8 != a(X77) )
| ~ $less(b(X75),4)
| ( 2 != b(X76) )
| ~ $less(b(X77),4)
| ~ $less(X76,X75) )
& ! [X78: $int,X79: $int,X80: $int] :
( ( X78 = X79 )
| ( X78 = X80 )
| ( X79 = X80 )
| ( 4 != a(X78) )
| ( 10 != a(X79) )
| ( 7 != a(X80) )
| ( 5 != b(X78) )
| ( 2 != b(X79) )
| ~ $less(X79,X78) )
& ! [X81: $int,X82: $int,X83: $int] :
( ( X81 = X82 )
| ( X81 = X83 )
| ( X82 = X83 )
| ( 5 != a(X81) )
| ( 10 != a(X82) )
| ( 6 != a(X83) )
| ( 5 != b(X81) )
| ( 2 != b(X82) )
| ~ $less(X82,X81) )
& ! [X84: $int,X85: $int,X86: $int] :
( ( X84 = X85 )
| ( X84 = X86 )
| ( X85 = X86 )
| ( 3 != a(X84) )
| ( 10 != a(X85) )
| ( 8 != a(X86) )
| ~ $less(b(X84),4)
| ~ $less(b(X85),3)
| ( 2 != b(X86) )
| ~ $less(X85,X84) )
& ! [X87: $int,X88: $int,X89: $int] :
( ( X87 = X88 )
| ( X87 = X89 )
| ( X88 = X89 )
| ( 4 != a(X87) )
| ( 10 != a(X88) )
| ( 7 != a(X89) )
| ( 5 != b(X87) )
| ~ $less(b(X88),3)
| ( 2 != b(X89) )
| ~ $less(X88,X87) )
& ! [X90: $int,X91: $int,X92: $int,X93: $int] :
( ( X90 = X91 )
| ( X90 = X92 )
| ( X90 = X93 )
| ( X91 = X92 )
| ( X91 = X93 )
| ( X92 = X93 )
| ( 4 != a(X90) )
| ( 10 != a(X91) )
| ( 7 != a(X92) )
| ~ $less(b(X91),3)
| ( 2 != b(X92) )
| ( 5 != b(X93) )
| ~ $less(X91,X90) )
& ! [X94: $int,X95: $int,X96: $int] :
( ( X94 = X95 )
| ( X94 = X96 )
| ( X95 = X96 )
| ( 5 != a(X94) )
| ( 10 != a(X95) )
| ( 6 != a(X96) )
| ( 5 != b(X94) )
| ~ $less(b(X95),3)
| ( 2 != b(X96) )
| ~ $less(X95,X94) )
& ! [X97: $int,X98: $int,X99: $int,X100: $int] :
( ( X97 = X98 )
| ( X97 = X99 )
| ( X97 = X100 )
| ( X98 = X99 )
| ( X98 = X100 )
| ( X99 = X100 )
| ( 5 != a(X97) )
| ( 10 != a(X98) )
| ( 6 != a(X99) )
| ( 5 != b(X97) )
| ~ $less(b(X98),3)
| ( 2 != b(X100) )
| ~ $less(X98,X97) )
& ! [X101: $int,X102: $int,X103: $int] :
( ( X101 = X102 )
| ( X101 = X103 )
| ( X102 = X103 )
| ( 6 != a(X101) )
| ( 10 != a(X102) )
| ( 5 != a(X103) )
| ( 5 != b(X101) )
| ( 2 != b(X102) )
| ~ $less(X102,X101) )
& ! [X104: $int,X105: $int,X106: $int,X107: $int] :
( ( X104 = X105 )
| ( X104 = X106 )
| ( X104 = X107 )
| ( X105 = X106 )
| ( X105 = X107 )
| ( X106 = X107 )
| ( 6 != a(X104) )
| ( 10 != a(X105) )
| ( 5 != a(X106) )
| ( 5 != b(X104) )
| ~ $less(b(X105),3)
| ( 2 != b(X107) )
| ~ $less(X105,X104) )
& ! [X108: $int,X109: $int,X110: $int] :
( ( X108 = X109 )
| ( X108 = X110 )
| ( X109 = X110 )
| ( 7 != a(X108) )
| ( 10 != a(X109) )
| ( 4 != a(X110) )
| ( 5 != b(X108) )
| ( 2 != b(X109) )
| ~ $less(X109,X108) )
& ! [X111: $int,X112: $int,X113: $int] :
( ( X111 = X112 )
| ( X111 = X113 )
| ( X112 = X113 )
| ( 2 != a(X111) )
| ( 10 != a(X112) )
| ( 8 != a(X113) )
| ( 2 != b(X112) )
| ~ $less(b(X113),4)
| ~ $less(X112,X111) )
& ! [X114: $int,X115: $int,X116: $int,X117: $int] :
( ( X114 = X115 )
| ( X114 = X116 )
| ( X114 = X117 )
| ( X115 = X116 )
| ( X115 = X117 )
| ( X116 = X117 )
| ( 3 != a(X114) )
| ( 10 != a(X115) )
| ( 7 != a(X116) )
| ~ $less(b(X114),4)
| ( 2 != b(X115) )
| ~ $less(b(X116),4)
| ( 5 != b(X117) )
| ~ $less(X115,X114) )
& ! [X118: $int,X119: $int,X120: $int] :
( ( X118 = X119 )
| ( X118 = X120 )
| ( X119 = X120 )
| ( 4 != a(X118) )
| ( 10 != a(X119) )
| ( 6 != a(X120) )
| ( 5 != b(X118) )
| ( 2 != b(X119) )
| ~ $less(X119,X118) )
& ! [X121: $int,X122: $int,X123: $int] :
( ( X121 = X122 )
| ( X121 = X123 )
| ( X122 = X123 )
| ( 5 != a(X121) )
| ( 10 != a(X122) )
| ( 5 != a(X123) )
| ( 5 != b(X121) )
| ( 2 != b(X122) )
| ~ $less(X122,X121) )
& ! [X124: $int,X125: $int,X126: $int] :
( ( X124 = X125 )
| ( X124 = X126 )
| ( X125 = X126 )
| ( 2 != a(X124) )
| ( 10 != a(X125) )
| ( 8 != a(X126) )
| ~ $less(b(X125),3)
| ( 2 != b(X126) )
| ~ $less(X125,X124) )
& ! [X127: $int,X128: $int,X129: $int,X130: $int] :
( ( X127 = X128 )
| ( X127 = X129 )
| ( X127 = X130 )
| ( X128 = X129 )
| ( X128 = X130 )
| ( X129 = X130 )
| ( 3 != a(X127) )
| ( 10 != a(X128) )
| ( 7 != a(X129) )
| ~ $less(b(X127),4)
| ~ $less(b(X128),3)
| ( 2 != b(X129) )
| ( 5 != b(X130) )
| ~ $less(X128,X127) )
& ! [X131: $int,X132: $int,X133: $int,X134: $int] :
( ( X131 = X132 )
| ( X131 = X133 )
| ( X131 = X134 )
| ( X132 = X133 )
| ( X132 = X134 )
| ( X133 = X134 )
| ( 5 != a(X131) )
| ( 10 != a(X132) )
| ( 5 != a(X133) )
| ( 5 != b(X131) )
| ~ $less(b(X132),3)
| ( 2 != b(X133) )
| ( 2 != b(X134) )
| ~ $less(X132,X131) )
& ! [X135: $int,X136: $int,X137: $int] :
( ( X135 = X136 )
| ( X135 = X137 )
| ( X136 = X137 )
| ( 6 != a(X135) )
| ( 10 != a(X136) )
| ( 4 != a(X137) )
| ( 5 != b(X135) )
| ( 2 != b(X136) )
| ~ $less(X136,X135) )
& ! [X138: $int,X139: $int,X140: $int] :
( ( X138 = X139 )
| ( X138 = X140 )
| ( X139 = X140 )
| ( 1 != a(X138) )
| ( 10 != a(X139) )
| ( 8 != a(X140) )
| ( 2 != b(X139) )
| ~ $less(b(X140),4)
| ~ $less(X139,X138) )
& ! [X141: $int,X142: $int,X143: $int] :
( ( X141 = X142 )
| ( X141 = X143 )
| ( X142 = X143 )
| ( 2 != a(X141) )
| ( 10 != a(X142) )
| ( 7 != a(X143) )
| ( 5 != b(X141) )
| ( 2 != b(X142) )
| ~ $less(b(X143),4)
| ~ $less(X142,X141) )
& ! [X144: $int,X145: $int,X146: $int,X147: $int] :
( ( X144 = X145 )
| ( X144 = X146 )
| ( X144 = X147 )
| ( X145 = X146 )
| ( X145 = X147 )
| ( X146 = X147 )
| ( 2 != a(X144) )
| ( 10 != a(X145) )
| ( 7 != a(X146) )
| ( 2 != b(X145) )
| ~ $less(b(X146),4)
| ( 5 != b(X147) )
| ~ $less(X145,X144) )
& ! [X148: $int,X149: $int,X150: $int] :
( ( X148 = X149 )
| ( X148 = X150 )
| ( X149 = X150 )
| ( 4 != a(X148) )
| ( 10 != a(X149) )
| ( 5 != a(X150) )
| ( 5 != b(X148) )
| ( 2 != b(X149) )
| ~ $less(X149,X148) )
& ! [X151: $int,X152: $int,X153: $int] :
( ( X151 = X152 )
| ( X151 = X153 )
| ( X152 = X153 )
| ( 5 != a(X151) )
| ( 10 != a(X152) )
| ( 4 != a(X153) )
| ( 5 != b(X151) )
| ( 2 != b(X152) )
| ~ $less(X152,X151) )
& ! [X154: $int,X155: $int,X156: $int] :
( ( X154 = X155 )
| ( X154 = X156 )
| ( X155 = X156 )
| ( 1 != a(X154) )
| ( 10 != a(X155) )
| ( 8 != a(X156) )
| ~ $less(b(X155),3)
| ( 2 != b(X156) )
| ~ $less(X155,X154) )
& ! [X157: $int,X158: $int,X159: $int] :
( ( X157 = X158 )
| ( X157 = X159 )
| ( X158 = X159 )
| ( 2 != a(X157) )
| ( 10 != a(X158) )
| ( 7 != a(X159) )
| ( 5 != b(X157) )
| ~ $less(b(X158),3)
| ( 2 != b(X159) )
| ~ $less(X158,X157) )
& ! [X160: $int,X161: $int,X162: $int,X163: $int] :
( ( X160 = X161 )
| ( X160 = X162 )
| ( X160 = X163 )
| ( X161 = X162 )
| ( X161 = X163 )
| ( X162 = X163 )
| ( 2 != a(X160) )
| ( 10 != a(X161) )
| ( 7 != a(X162) )
| ~ $less(b(X161),3)
| ( 2 != b(X162) )
| ( 5 != b(X163) )
| ~ $less(X161,X160) )
& ! [X164: $int,X165: $int,X166: $int] :
( ( X164 = X165 )
| ( X164 = X166 )
| ( X165 = X166 )
| ( 1 != a(X164) )
| ( 10 != a(X165) )
| ( 7 != a(X166) )
| ( 5 != b(X164) )
| ( 2 != b(X165) )
| ~ $less(b(X166),4)
| ~ $less(X165,X164) )
& ! [X167: $int,X168: $int,X169: $int,X170: $int] :
( ( X167 = X168 )
| ( X167 = X169 )
| ( X167 = X170 )
| ( X168 = X169 )
| ( X168 = X170 )
| ( X169 = X170 )
| ( 1 != a(X167) )
| ( 10 != a(X168) )
| ( 7 != a(X169) )
| ( 2 != b(X168) )
| ~ $less(b(X169),4)
| ( 5 != b(X170) )
| ~ $less(X168,X167) )
& ! [X171: $int,X172: $int,X173: $int] :
( ( X171 = X172 )
| ( X171 = X173 )
| ( X172 = X173 )
| ( 12 != a(X171) )
| ( 10 != a(X172) )
| ( 8 != a(X173) )
| ( 2 != b(X172) )
| ~ $less(b(X173),4)
| ~ $less(X172,X171) )
& ! [X174: $int,X175: $int,X176: $int] :
( ( X174 = X175 )
| ( X174 = X176 )
| ( X175 = X176 )
| ( 2 != a(X174) )
| ( 10 != a(X175) )
| ( 6 != a(X176) )
| ( 5 != b(X174) )
| ( 2 != b(X175) )
| ~ $less(X175,X174) )
& ! [X177: $int,X178: $int,X179: $int] :
( ( X177 = X178 )
| ( X177 = X179 )
| ( X178 = X179 )
| ( 4 != a(X177) )
| ( 10 != a(X178) )
| ( 4 != a(X179) )
| ( 5 != b(X177) )
| ( 2 != b(X178) )
| ~ $less(X178,X177) )
& ! [X180: $int,X181: $int,X182: $int] :
( ( X180 = X181 )
| ( X180 = X182 )
| ( X181 = X182 )
| ( 1 != a(X180) )
| ( 10 != a(X181) )
| ( 7 != a(X182) )
| ( 5 != b(X180) )
| ~ $less(b(X181),3)
| ( 2 != b(X182) )
| ~ $less(X181,X180) )
& ! [X183: $int,X184: $int,X185: $int,X186: $int] :
( ( X183 = X184 )
| ( X183 = X185 )
| ( X183 = X186 )
| ( X184 = X185 )
| ( X184 = X186 )
| ( X185 = X186 )
| ( 1 != a(X183) )
| ( 10 != a(X184) )
| ( 7 != a(X185) )
| ~ $less(b(X184),3)
| ( 2 != b(X185) )
| ( 5 != b(X186) )
| ~ $less(X184,X183) )
& ! [X187: $int,X188: $int,X189: $int] :
( ( X187 = X188 )
| ( X187 = X189 )
| ( X188 = X189 )
| ( 12 != a(X187) )
| ( 10 != a(X188) )
| ( 8 != a(X189) )
| ~ $less(b(X188),3)
| ( 2 != b(X189) )
| ~ $less(X188,X187) )
& ! [X190: $int,X191: $int,X192: $int] :
( ( X190 = X191 )
| ( X190 = X192 )
| ( X191 = X192 )
| ( 1 != a(X190) )
| ( 10 != a(X191) )
| ( 6 != a(X192) )
| ( 5 != b(X190) )
| ( 2 != b(X191) )
| ~ $less(X191,X190) )
& ! [X193: $int,X194: $int,X195: $int] :
( ( X193 = X194 )
| ( X193 = X195 )
| ( X194 = X195 )
| ( 12 != a(X193) )
| ( 10 != a(X194) )
| ( 7 != a(X195) )
| ( 5 != b(X193) )
| ( 2 != b(X194) )
| ~ $less(b(X195),4)
| ~ $less(X194,X193) )
& ! [X196: $int,X197: $int,X198: $int,X199: $int] :
( ( X196 = X197 )
| ( X196 = X198 )
| ( X196 = X199 )
| ( X197 = X198 )
| ( X197 = X199 )
| ( X198 = X199 )
| ( 12 != a(X196) )
| ( 10 != a(X197) )
| ( 7 != a(X198) )
| ( 2 != b(X197) )
| ~ $less(b(X198),4)
| ( 5 != b(X199) )
| ~ $less(X197,X196) )
& ! [X200: $int,X201: $int,X202: $int] :
( ( X200 = X201 )
| ( X200 = X202 )
| ( X201 = X202 )
| ( 2 != a(X200) )
| ( 10 != a(X201) )
| ( 5 != a(X202) )
| ( 5 != b(X200) )
| ( 2 != b(X201) )
| ~ $less(X201,X200) )
& ! [X203: $int,X204: $int,X205: $int] :
( ( X203 = X204 )
| ( X203 = X205 )
| ( X204 = X205 )
| ( 12 != a(X203) )
| ( 10 != a(X204) )
| ( 7 != a(X205) )
| ( 5 != b(X203) )
| ~ $less(b(X204),3)
| ( 2 != b(X205) )
| ~ $less(X204,X203) )
& ! [X206: $int,X207: $int,X208: $int,X209: $int] :
( ( X206 = X207 )
| ( X206 = X208 )
| ( X206 = X209 )
| ( X207 = X208 )
| ( X207 = X209 )
| ( X208 = X209 )
| ( 12 != a(X206) )
| ( 10 != a(X207) )
| ( 7 != a(X208) )
| ~ $less(b(X207),3)
| ( 2 != b(X208) )
| ( 5 != b(X209) )
| ~ $less(X207,X206) )
& ! [X210: $int,X211: $int,X212: $int] :
( ( X210 = X211 )
| ( X210 = X212 )
| ( X211 = X212 )
| ( 1 != a(X210) )
| ( 10 != a(X211) )
| ( 5 != a(X212) )
| ( 5 != b(X210) )
| ( 2 != b(X211) )
| ~ $less(X211,X210) )
& ! [X213: $int,X214: $int,X215: $int] :
( ( X213 = X214 )
| ( X213 = X215 )
| ( X214 = X215 )
| ( 12 != a(X213) )
| ( 10 != a(X214) )
| ( 6 != a(X215) )
| ( 5 != b(X213) )
| ( 2 != b(X214) )
| ~ $less(X214,X213) )
& ! [X216: $int,X217: $int,X218: $int] :
( ( X216 = X217 )
| ( X216 = X218 )
| ( X217 = X218 )
| ( 2 != a(X216) )
| ( 10 != a(X217) )
| ( 4 != a(X218) )
| ( 5 != b(X216) )
| ( 2 != b(X217) )
| ~ $less(X217,X216) )
& ! [X219: $int,X220: $int,X221: $int] :
( ( X219 = X220 )
| ( X219 = X221 )
| ( X220 = X221 )
| ( 1 != a(X219) )
| ( 10 != a(X220) )
| ( 4 != a(X221) )
| ( 5 != b(X219) )
| ( 2 != b(X220) )
| ~ $less(X220,X219) )
& ! [X222: $int,X223: $int,X224: $int] :
( ( X222 = X223 )
| ( X222 = X224 )
| ( X223 = X224 )
| ( 12 != a(X222) )
| ( 10 != a(X223) )
| ( 5 != a(X224) )
| ( 5 != b(X222) )
| ( 2 != b(X223) )
| ~ $less(X223,X222) )
& ! [X225: $int,X226: $int,X227: $int] :
( ( X225 = X226 )
| ( X225 = X227 )
| ( X226 = X227 )
| ( 12 != a(X225) )
| ( 10 != a(X226) )
| ( 4 != a(X227) )
| ( 5 != b(X225) )
| ( 2 != b(X226) )
| ~ $less(X226,X225) )
& ! [X228: $int,X229: $int,X230: $int,X231: $int] :
( ( X228 = X229 )
| ( X228 = X230 )
| ( X228 = X231 )
| ( X229 = X230 )
| ( X229 = X231 )
| ( X230 = X231 )
| ( 5 != a(X228) )
| ( 10 != a(X229) )
| ( 2 != a(X231) )
| ~ $less(b(X229),3)
| ( 5 != b(X230) )
| ~ $less(X229,X228) )
& ! [X232: $int,X233: $int,X234: $int,X235: $int] :
( ( X232 = X233 )
| ( X232 = X234 )
| ( X232 = X235 )
| ( X233 = X234 )
| ( X233 = X235 )
| ( X234 = X235 )
| ( 4 != a(X232) )
| ( 10 != a(X233) )
| ~ $less(b(X233),3)
| ( 5 != b(X234) )
| ( 2 != b(X235) )
| ~ $less(X233,X232) )
& ! [X236: $int,X237: $int,X238: $int,X239: $int] :
( ( X236 = X237 )
| ( X236 = X238 )
| ( X236 = X239 )
| ( X237 = X238 )
| ( X237 = X239 )
| ( X238 = X239 )
| ( 5 != a(X236) )
| ( 10 != a(X237) )
| ( 8 != a(X238) )
| ( 2 != a(X239) )
| ~ $less(b(X237),3)
| ~ $less(X237,X236) )
& ! [X240: $int,X241: $int,X242: $int,X243: $int] :
( ( X240 = X241 )
| ( X240 = X242 )
| ( X240 = X243 )
| ( X241 = X242 )
| ( X241 = X243 )
| ( X242 = X243 )
| ( 4 != a(X240) )
| ( 10 != a(X241) )
| ( 8 != a(X242) )
| ~ $less(b(X241),3)
| ( 2 != b(X243) )
| ~ $less(X241,X240) )
& ! [X244: $int,X245: $int,X246: $int,X247: $int] :
( ( X244 = X245 )
| ( X244 = X246 )
| ( X244 = X247 )
| ( X245 = X246 )
| ( X245 = X247 )
| ( X246 = X247 )
| ( 5 != a(X244) )
| ( 10 != a(X245) )
| ( 1 != a(X247) )
| ~ $less(b(X245),3)
| ( 5 != b(X246) )
| ~ $less(X245,X244) )
& ! [X248: $int,X249: $int,X250: $int,X251: $int] :
( ( X248 = X249 )
| ( X248 = X250 )
| ( X248 = X251 )
| ( X249 = X250 )
| ( X249 = X251 )
| ( X250 = X251 )
| ( 4 != a(X248) )
| ( 10 != a(X249) )
| ( 2 != a(X251) )
| ~ $less(b(X249),3)
| ( 5 != b(X250) )
| ~ $less(X249,X248) )
& ! [X252: $int,X253: $int,X254: $int,X255: $int] :
( ( X252 = X253 )
| ( X252 = X254 )
| ( X252 = X255 )
| ( X253 = X254 )
| ( X253 = X255 )
| ( X254 = X255 )
| ( 5 != a(X252) )
| ( 10 != a(X253) )
| ( 7 != a(X254) )
| ( 2 != a(X255) )
| ( 5 != b(X252) )
| ~ $less(b(X253),3)
| ~ $less(X253,X252) )
& ! [X256: $int,X257: $int,X258: $int,X259: $int] :
( ( X256 = X257 )
| ( X256 = X258 )
| ( X256 = X259 )
| ( X257 = X258 )
| ( X257 = X259 )
| ( X258 = X259 )
| ( 7 != a(X256) )
| ( 10 != a(X257) )
| ( 5 != a(X258) )
| ( 2 != a(X259) )
| ( 5 != b(X256) )
| ~ $less(b(X257),3)
| ~ $less(X257,X256) )
& ! [X260: $int,X261: $int,X262: $int,X263: $int] :
( ( X260 = X261 )
| ( X260 = X262 )
| ( X260 = X263 )
| ( X261 = X262 )
| ( X261 = X263 )
| ( X262 = X263 )
| ( 7 != a(X260) )
| ( 10 != a(X261) )
| ( 4 != a(X262) )
| ( 5 != b(X260) )
| ~ $less(b(X261),3)
| ( 2 != b(X263) )
| ~ $less(X261,X260) )
& ! [X264: $int,X265: $int,X266: $int,X267: $int] :
( ( X264 = X265 )
| ( X264 = X266 )
| ( X264 = X267 )
| ( X265 = X266 )
| ( X265 = X267 )
| ( X266 = X267 )
| ( 5 != a(X264) )
| ( 10 != a(X265) )
| ( 8 != a(X266) )
| ( 1 != a(X267) )
| ~ $less(b(X265),3)
| ~ $less(X265,X264) )
& ! [X268: $int,X269: $int,X270: $int,X271: $int] :
( ( X268 = X269 )
| ( X268 = X270 )
| ( X268 = X271 )
| ( X269 = X270 )
| ( X269 = X271 )
| ( X270 = X271 )
| ( 4 != a(X268) )
| ( 10 != a(X269) )
| ( 8 != a(X270) )
| ( 2 != a(X271) )
| ~ $less(b(X269),3)
| ~ $less(X269,X268) )
& ! [X272: $int,X273: $int,X274: $int,X275: $int] :
( ( X272 = X273 )
| ( X272 = X274 )
| ( X272 = X275 )
| ( X273 = X274 )
| ( X273 = X275 )
| ( X274 = X275 )
| ( 5 != a(X272) )
| ( 10 != a(X273) )
| ( 7 != a(X274) )
| ( 2 != a(X275) )
| ~ $less(b(X273),3)
| ( 5 != b(X275) )
| ~ $less(X273,X272) )
& ! [X276: $int,X277: $int,X278: $int,X279: $int] :
( ( X276 = X277 )
| ( X276 = X278 )
| ( X276 = X279 )
| ( X277 = X278 )
| ( X277 = X279 )
| ( X278 = X279 )
| ( 3 != a(X276) )
| ( 10 != a(X277) )
| ( 8 != a(X278) )
| ~ $less(b(X276),4)
| ~ $less(b(X277),3)
| ~ $less(b(X278),4)
| ( 2 != b(X279) )
| ~ $less(X277,X276) )
& ! [X280: $int,X281: $int,X282: $int,X283: $int] :
( ( X280 = X281 )
| ( X280 = X282 )
| ( X280 = X283 )
| ( X281 = X282 )
| ( X281 = X283 )
| ( X282 = X283 )
| ( 4 != a(X280) )
| ( 10 != a(X281) )
| ( 7 != a(X282) )
| ( 5 != b(X280) )
| ~ $less(b(X281),3)
| ( 2 != b(X283) )
| ~ $less(X281,X280) )
& ! [X284: $int,X285: $int,X286: $int,X287: $int] :
( ( X284 = X285 )
| ( X284 = X286 )
| ( X284 = X287 )
| ( X285 = X286 )
| ( X285 = X287 )
| ( X286 = X287 )
| ( 4 != a(X284) )
| ( 10 != a(X285) )
| ( 1 != a(X287) )
| ~ $less(b(X285),3)
| ( 5 != b(X286) )
| ~ $less(X285,X284) ) ),
inference(flattening,[],[f17]) ).
tff(f98,plain,
! [X246: $int,X247: $int,X244: $int,X245: $int] :
( ~ $less(X245,X244)
| ~ $less(b(X245),3)
| ( 5 != b(X246) )
| ( 1 != a(X247) )
| ( 10 != a(X245) )
| ( 5 != a(X244) )
| ( X246 = X247 )
| ( X245 = X247 )
| ( X245 = X246 )
| ( X244 = X247 )
| ( X244 = X246 )
| ( X244 = X245 ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f111,plain,
z3 != z4,
inference(cnf_transformation,[],[f18]) ).
tff(f113,plain,
z2 != z4,
inference(cnf_transformation,[],[f18]) ).
tff(f114,plain,
z2 != z3,
inference(cnf_transformation,[],[f18]) ).
tff(f116,plain,
z1 != z4,
inference(cnf_transformation,[],[f18]) ).
tff(f117,plain,
z1 != z3,
inference(cnf_transformation,[],[f18]) ).
tff(f118,plain,
z1 != z2,
inference(cnf_transformation,[],[f18]) ).
tff(f119,plain,
$less(z2,z1),
inference(cnf_transformation,[],[f18]) ).
tff(f121,plain,
5 = b(z3),
inference(cnf_transformation,[],[f18]) ).
tff(f122,plain,
$less(b(z2),3),
inference(cnf_transformation,[],[f18]) ).
tff(f123,plain,
1 = a(z4),
inference(cnf_transformation,[],[f18]) ).
tff(f125,plain,
10 = a(z2),
inference(cnf_transformation,[],[f18]) ).
tff(f126,plain,
5 = a(z1),
inference(cnf_transformation,[],[f18]) ).
tff(f454,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(z2,X0)
| ( 5 != b(X1) )
| ( 1 != a(X2) )
| ( 10 != a(z2) )
| ( a(X0) != 5 )
| ( X1 = X2 )
| ( z2 = X2 )
| ( z2 = X1 )
| ( X0 = X2 )
| ( X0 = X1 )
| ( z2 = X0 ) ),
inference(resolution,[],[f98,f122]) ).
tff(f457,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(z2,X0)
| ( 5 != b(X1) )
| ( 1 != a(X2) )
| ( a(X0) != 5 )
| ( X1 = X2 )
| ( z2 = X2 )
| ( z2 = X1 )
| ( X0 = X2 )
| ( X0 = X1 )
| ( z2 = X0 ) ),
inference(forward_subsumption_resolution,[],[f454,f125]) ).
tff(f529,plain,
! [X0: $int,X1: $int] :
( ( b(X0) != 5 )
| ( 1 != a(X1) )
| ( 5 != a(z1) )
| ( X0 = X1 )
| ( z2 = X1 )
| ( z2 = X0 )
| ( z1 = X1 )
| ( z1 = X0 )
| ( z1 = z2 ) ),
inference(resolution,[],[f457,f119]) ).
tff(f530,plain,
! [X0: $int,X1: $int] :
( ( b(X0) != 5 )
| ( 1 != a(X1) )
| ( X0 = X1 )
| ( z2 = X1 )
| ( z2 = X0 )
| ( z1 = X1 )
| ( z1 = X0 )
| ( z1 = z2 ) ),
inference(forward_subsumption_resolution,[],[f529,f126]) ).
tff(f531,plain,
! [X0: $int,X1: $int] :
( ( b(X0) != 5 )
| ( 1 != a(X1) )
| ( X0 = X1 )
| ( z2 = X1 )
| ( z2 = X0 )
| ( z1 = X1 )
| ( z1 = X0 ) ),
inference(forward_subsumption_resolution,[],[f530,f118]) ).
tff(f536,plain,
! [X0: $int] :
( ( 5 != 5 )
| ( 1 != a(X0) )
| ( z3 = X0 )
| ( z2 = X0 )
| ( z2 = z3 )
| ( z1 = X0 )
| ( z1 = z3 ) ),
inference(superposition,[],[f531,f121]) ).
tff(f541,plain,
! [X0: $int] :
( ( 1 != a(X0) )
| ( z3 = X0 )
| ( z2 = X0 )
| ( z2 = z3 )
| ( z1 = X0 )
| ( z1 = z3 ) ),
inference(trivial_inequality_removal,[],[f536]) ).
tff(f543,plain,
! [X0: $int] :
( ( 1 != a(X0) )
| ( z3 = X0 )
| ( z2 = X0 )
| ( z1 = X0 )
| ( z1 = z3 ) ),
inference(forward_subsumption_resolution,[],[f541,f114]) ).
tff(f545,plain,
! [X0: $int] :
( ( 1 != a(X0) )
| ( z3 = X0 )
| ( z2 = X0 )
| ( z1 = X0 ) ),
inference(forward_subsumption_resolution,[],[f543,f117]) ).
tff(f551,plain,
( ( 1 != 1 )
| ( z3 = z4 )
| ( z2 = z4 )
| ( z1 = z4 ) ),
inference(superposition,[],[f545,f123]) ).
tff(f552,plain,
( ( z3 = z4 )
| ( z2 = z4 )
| ( z1 = z4 ) ),
inference(trivial_inequality_removal,[],[f551]) ).
tff(f553,plain,
( ( z2 = z4 )
| ( z1 = z4 ) ),
inference(forward_subsumption_resolution,[],[f552,f111]) ).
tff(f554,plain,
z1 = z4,
inference(forward_subsumption_resolution,[],[f553,f113]) ).
tff(f555,plain,
$false,
inference(forward_subsumption_resolution,[],[f554,f116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW004_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.27 % Computer : n017.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8046.5625MB
% 0.09/0.27 % OS : Linux 6.8.0-71-generic
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Mon Sep 28 13:03:21 UTC 2026
% 0.09/0.28 % CPUTime :
% 0.26/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.26/0.32 Running first-order model finding
% 0.26/0.32 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.40 % (3529690)Will run a generic schedule for satisfiability detection.
% 0.53/0.40 % (3529699)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1467598282:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.53/0.40 % (3529696)% WARNING: option uhcvi not known.
% 0.53/0.40 % (3529697)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=424702762:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.53/0.40 % (3529698)dis+10_1_sil=32000:sp=arity:random_seed=3604064320:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.53/0.40 % (3529696)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1352857118:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.53/0.40 % (3529700)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3392171356:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.53/0.40 % (3529695)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3431776795_2999 on theBenchmark for (2999ds/0Mi)
% 0.53/0.40 % (3529701)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=578646194:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.53/0.40 % (3529695)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.53/0.40 % (3529695)Terminated due to inappropriate strategy.
% 0.53/0.40 % (3529695)------------------------------
% 0.53/0.40 % (3529695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.40 % (3529695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.40 % (3529695)CaDiCaL version: 2.1.3
% 0.53/0.40 % (3529695)Termination reason: Inappropriate
% 0.53/0.40 % (3529695)Time elapsed: 0.011 s
% 0.53/0.40 % (3529695)Peak memory usage: 10 MB
% 0.53/0.40 % (3529695)Instructions burned: 12 (million)
% 0.53/0.40 % (3529695)------------------------------
% 0.53/0.40 % (3529695)------------------------------
% 0.53/0.40 % (3529699) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3529690-3529699"...
% 0.53/0.40 % (3529698) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3529690-3529698"...
% 0.53/0.40 % (3529699)...printing done.
% 0.53/0.40 % (3529699)Refutation found. Thanks to Tanya!
% 0.53/0.40 % SZS status Theorem for theBenchmark
% 0.53/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.53/0.40 % (3529699)------------------------------
% 0.53/0.40 % (3529699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.40 % (3529699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.40 % (3529699)CaDiCaL version: 2.1.3
% 0.53/0.40 % (3529699)Termination reason: Refutation
% 0.53/0.40 % (3529699)Time elapsed: 0.041 s
% 0.53/0.40 % (3529699)Peak memory usage: 13 MB
% 0.53/0.40 % (3529699)Instructions burned: 91 (million)
% 0.53/0.40 % (3529690)Success in time 0.068 s
% 0.53/0.40 % Vampire exiting
%------------------------------------------------------------------------------