%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW005_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 : n009.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 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 96 ( 34 unt; 0 typ; 11 def)
% Number of atoms : 6557 (5329 equ)
% Maximal formula atoms : 901 ( 68 avg)
% Number of connectives : 9898 (3437 ~;1739 |;4706 &)
% ( 11 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 105 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 6414 (1118 atm; 0 fun;3255 num;2041 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 : 16 ( 11 usr; 13 prp; 0-2 aty)
% Number of functors : 18 ( 7 usr; 16 con; 0-1 aty)
% Number of variables : 2041 ( 0 sgn2041 !; 0 ?;2041 :)
% 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] :
~ ( ( 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) )
& ! [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) = 12 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) ) )
=> ~ ( ( a(z1) = 4 )
& ( a(z2) = 10 )
& ( a(z3) = 7 )
& $less(b(z2),3)
& ( b(z3) = 2 )
& ( 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] :
~ ( ( 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) )
& ! [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) = 12 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) ) )
=> ~ ( ( a(z1) = 4 )
& ( a(z2) = 10 )
& ( a(z3) = 7 )
& $less(b(z2),3)
& ( b(z3) = 2 )
& ( 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] :
~ ( ( 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) )
& ! [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) = 12 )
& $less(b(X1),3)
& ( b(X2) = 5 )
& $less(X1,X0) ) )
=> ~ ( ( a(z1) = 4 )
& ( a(z2) = 10 )
& ( a(z3) = 7 )
& $less(b(z2),3)
& ( b(z3) = 2 )
& ( 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] :
~ ( ( X90 != X91 )
& ( X90 != X92 )
& ( X91 != X92 )
& ( 5 = a(X90) )
& ( 10 = a(X91) )
& ( 6 = a(X92) )
& ( 5 = b(X90) )
& $less(b(X91),3)
& ( 2 = b(X92) )
& $less(X91,X90) )
& ! [X93: $int,X94: $int,X95: $int,X96: $int] :
~ ( ( X93 != X94 )
& ( X93 != X95 )
& ( X93 != X96 )
& ( X94 != X95 )
& ( X94 != X96 )
& ( X95 != X96 )
& ( 5 = a(X93) )
& ( 10 = a(X94) )
& ( 6 = a(X95) )
& ( 5 = b(X93) )
& $less(b(X94),3)
& ( 2 = b(X96) )
& $less(X94,X93) )
& ! [X97: $int,X98: $int,X99: $int] :
~ ( ( X97 != X98 )
& ( X97 != X99 )
& ( X98 != X99 )
& ( 6 = a(X97) )
& ( 10 = a(X98) )
& ( 5 = a(X99) )
& ( 5 = b(X97) )
& ( 2 = b(X98) )
& $less(X98,X97) )
& ! [X100: $int,X101: $int,X102: $int,X103: $int] :
~ ( ( X100 != X101 )
& ( X100 != X102 )
& ( X100 != X103 )
& ( X101 != X102 )
& ( X101 != X103 )
& ( X102 != X103 )
& ( 6 = a(X100) )
& ( 10 = a(X101) )
& ( 5 = a(X102) )
& ( 5 = b(X100) )
& $less(b(X101),3)
& ( 2 = b(X103) )
& $less(X101,X100) )
& ! [X104: $int,X105: $int,X106: $int] :
~ ( ( X104 != X105 )
& ( X104 != X106 )
& ( X105 != X106 )
& ( 7 = a(X104) )
& ( 10 = a(X105) )
& ( 4 = a(X106) )
& ( 5 = b(X104) )
& ( 2 = b(X105) )
& $less(X105,X104) )
& ! [X107: $int,X108: $int,X109: $int] :
~ ( ( X107 != X108 )
& ( X107 != X109 )
& ( X108 != X109 )
& ( 2 = a(X107) )
& ( 10 = a(X108) )
& ( 8 = a(X109) )
& ( 2 = b(X108) )
& $less(b(X109),4)
& $less(X108,X107) )
& ! [X110: $int,X111: $int,X112: $int,X113: $int] :
~ ( ( X110 != X111 )
& ( X110 != X112 )
& ( X110 != X113 )
& ( X111 != X112 )
& ( X111 != X113 )
& ( X112 != X113 )
& ( 3 = a(X110) )
& ( 10 = a(X111) )
& ( 7 = a(X112) )
& $less(b(X110),4)
& ( 2 = b(X111) )
& $less(b(X112),4)
& ( 5 = b(X113) )
& $less(X111,X110) )
& ! [X114: $int,X115: $int,X116: $int] :
~ ( ( X114 != X115 )
& ( X114 != X116 )
& ( X115 != X116 )
& ( 4 = a(X114) )
& ( 10 = a(X115) )
& ( 6 = a(X116) )
& ( 5 = b(X114) )
& ( 2 = b(X115) )
& $less(X115,X114) )
& ! [X117: $int,X118: $int,X119: $int] :
~ ( ( X117 != X118 )
& ( X117 != X119 )
& ( X118 != X119 )
& ( 5 = a(X117) )
& ( 10 = a(X118) )
& ( 5 = a(X119) )
& ( 5 = b(X117) )
& ( 2 = b(X118) )
& $less(X118,X117) )
& ! [X120: $int,X121: $int,X122: $int] :
~ ( ( X120 != X121 )
& ( X120 != X122 )
& ( X121 != X122 )
& ( 2 = a(X120) )
& ( 10 = a(X121) )
& ( 8 = a(X122) )
& $less(b(X121),3)
& ( 2 = b(X122) )
& $less(X121,X120) )
& ! [X123: $int,X124: $int,X125: $int,X126: $int] :
~ ( ( X123 != X124 )
& ( X123 != X125 )
& ( X123 != X126 )
& ( X124 != X125 )
& ( X124 != X126 )
& ( X125 != X126 )
& ( 3 = a(X123) )
& ( 10 = a(X124) )
& ( 7 = a(X125) )
& $less(b(X123),4)
& $less(b(X124),3)
& ( 2 = b(X125) )
& ( 5 = b(X126) )
& $less(X124,X123) )
& ! [X127: $int,X128: $int,X129: $int,X130: $int] :
~ ( ( X127 != X128 )
& ( X127 != X129 )
& ( X127 != X130 )
& ( X128 != X129 )
& ( X128 != X130 )
& ( X129 != X130 )
& ( 5 = a(X127) )
& ( 10 = a(X128) )
& ( 5 = a(X129) )
& ( 5 = b(X127) )
& $less(b(X128),3)
& ( 2 = b(X129) )
& ( 2 = b(X130) )
& $less(X128,X127) )
& ! [X131: $int,X132: $int,X133: $int] :
~ ( ( X131 != X132 )
& ( X131 != X133 )
& ( X132 != X133 )
& ( 6 = a(X131) )
& ( 10 = a(X132) )
& ( 4 = a(X133) )
& ( 5 = b(X131) )
& ( 2 = b(X132) )
& $less(X132,X131) )
& ! [X134: $int,X135: $int,X136: $int] :
~ ( ( X134 != X135 )
& ( X134 != X136 )
& ( X135 != X136 )
& ( 1 = a(X134) )
& ( 10 = a(X135) )
& ( 8 = a(X136) )
& ( 2 = b(X135) )
& $less(b(X136),4)
& $less(X135,X134) )
& ! [X137: $int,X138: $int,X139: $int] :
~ ( ( X137 != X138 )
& ( X137 != X139 )
& ( X138 != X139 )
& ( 2 = a(X137) )
& ( 10 = a(X138) )
& ( 7 = a(X139) )
& ( 5 = b(X137) )
& ( 2 = b(X138) )
& $less(b(X139),4)
& $less(X138,X137) )
& ! [X140: $int,X141: $int,X142: $int,X143: $int] :
~ ( ( X140 != X141 )
& ( X140 != X142 )
& ( X140 != X143 )
& ( X141 != X142 )
& ( X141 != X143 )
& ( X142 != X143 )
& ( 2 = a(X140) )
& ( 10 = a(X141) )
& ( 7 = a(X142) )
& ( 2 = b(X141) )
& $less(b(X142),4)
& ( 5 = b(X143) )
& $less(X141,X140) )
& ! [X144: $int,X145: $int,X146: $int] :
~ ( ( X144 != X145 )
& ( X144 != X146 )
& ( X145 != X146 )
& ( 4 = a(X144) )
& ( 10 = a(X145) )
& ( 5 = a(X146) )
& ( 5 = b(X144) )
& ( 2 = b(X145) )
& $less(X145,X144) )
& ! [X147: $int,X148: $int,X149: $int] :
~ ( ( X147 != X148 )
& ( X147 != X149 )
& ( X148 != X149 )
& ( 5 = a(X147) )
& ( 10 = a(X148) )
& ( 4 = a(X149) )
& ( 5 = b(X147) )
& ( 2 = b(X148) )
& $less(X148,X147) )
& ! [X150: $int,X151: $int,X152: $int] :
~ ( ( X150 != X151 )
& ( X150 != X152 )
& ( X151 != X152 )
& ( 1 = a(X150) )
& ( 10 = a(X151) )
& ( 8 = a(X152) )
& $less(b(X151),3)
& ( 2 = b(X152) )
& $less(X151,X150) )
& ! [X153: $int,X154: $int,X155: $int] :
~ ( ( X153 != X154 )
& ( X153 != X155 )
& ( X154 != X155 )
& ( 2 = a(X153) )
& ( 10 = a(X154) )
& ( 7 = a(X155) )
& ( 5 = b(X153) )
& $less(b(X154),3)
& ( 2 = b(X155) )
& $less(X154,X153) )
& ! [X156: $int,X157: $int,X158: $int,X159: $int] :
~ ( ( X156 != X157 )
& ( X156 != X158 )
& ( X156 != X159 )
& ( X157 != X158 )
& ( X157 != X159 )
& ( X158 != X159 )
& ( 2 = a(X156) )
& ( 10 = a(X157) )
& ( 7 = a(X158) )
& $less(b(X157),3)
& ( 2 = b(X158) )
& ( 5 = b(X159) )
& $less(X157,X156) )
& ! [X160: $int,X161: $int,X162: $int] :
~ ( ( X160 != X161 )
& ( X160 != X162 )
& ( X161 != X162 )
& ( 1 = a(X160) )
& ( 10 = a(X161) )
& ( 7 = a(X162) )
& ( 5 = b(X160) )
& ( 2 = b(X161) )
& $less(b(X162),4)
& $less(X161,X160) )
& ! [X163: $int,X164: $int,X165: $int,X166: $int] :
~ ( ( X163 != X164 )
& ( X163 != X165 )
& ( X163 != X166 )
& ( X164 != X165 )
& ( X164 != X166 )
& ( X165 != X166 )
& ( 1 = a(X163) )
& ( 10 = a(X164) )
& ( 7 = a(X165) )
& ( 2 = b(X164) )
& $less(b(X165),4)
& ( 5 = b(X166) )
& $less(X164,X163) )
& ! [X167: $int,X168: $int,X169: $int] :
~ ( ( X167 != X168 )
& ( X167 != X169 )
& ( X168 != X169 )
& ( 12 = a(X167) )
& ( 10 = a(X168) )
& ( 8 = a(X169) )
& ( 2 = b(X168) )
& $less(b(X169),4)
& $less(X168,X167) )
& ! [X170: $int,X171: $int,X172: $int] :
~ ( ( X170 != X171 )
& ( X170 != X172 )
& ( X171 != X172 )
& ( 2 = a(X170) )
& ( 10 = a(X171) )
& ( 6 = a(X172) )
& ( 5 = b(X170) )
& ( 2 = b(X171) )
& $less(X171,X170) )
& ! [X173: $int,X174: $int,X175: $int] :
~ ( ( X173 != X174 )
& ( X173 != X175 )
& ( X174 != X175 )
& ( 4 = a(X173) )
& ( 10 = a(X174) )
& ( 4 = a(X175) )
& ( 5 = b(X173) )
& ( 2 = b(X174) )
& $less(X174,X173) )
& ! [X176: $int,X177: $int,X178: $int] :
~ ( ( X176 != X177 )
& ( X176 != X178 )
& ( X177 != X178 )
& ( 1 = a(X176) )
& ( 10 = a(X177) )
& ( 7 = a(X178) )
& ( 5 = b(X176) )
& $less(b(X177),3)
& ( 2 = b(X178) )
& $less(X177,X176) )
& ! [X179: $int,X180: $int,X181: $int,X182: $int] :
~ ( ( X179 != X180 )
& ( X179 != X181 )
& ( X179 != X182 )
& ( X180 != X181 )
& ( X180 != X182 )
& ( X181 != X182 )
& ( 1 = a(X179) )
& ( 10 = a(X180) )
& ( 7 = a(X181) )
& $less(b(X180),3)
& ( 2 = b(X181) )
& ( 5 = b(X182) )
& $less(X180,X179) )
& ! [X183: $int,X184: $int,X185: $int] :
~ ( ( X183 != X184 )
& ( X183 != X185 )
& ( X184 != X185 )
& ( 12 = a(X183) )
& ( 10 = a(X184) )
& ( 8 = a(X185) )
& $less(b(X184),3)
& ( 2 = b(X185) )
& $less(X184,X183) )
& ! [X186: $int,X187: $int,X188: $int] :
~ ( ( X186 != X187 )
& ( X186 != X188 )
& ( X187 != X188 )
& ( 1 = a(X186) )
& ( 10 = a(X187) )
& ( 6 = a(X188) )
& ( 5 = b(X186) )
& ( 2 = b(X187) )
& $less(X187,X186) )
& ! [X189: $int,X190: $int,X191: $int] :
~ ( ( X189 != X190 )
& ( X189 != X191 )
& ( X190 != X191 )
& ( 12 = a(X189) )
& ( 10 = a(X190) )
& ( 7 = a(X191) )
& ( 5 = b(X189) )
& ( 2 = b(X190) )
& $less(b(X191),4)
& $less(X190,X189) )
& ! [X192: $int,X193: $int,X194: $int,X195: $int] :
~ ( ( X192 != X193 )
& ( X192 != X194 )
& ( X192 != X195 )
& ( X193 != X194 )
& ( X193 != X195 )
& ( X194 != X195 )
& ( 12 = a(X192) )
& ( 10 = a(X193) )
& ( 7 = a(X194) )
& ( 2 = b(X193) )
& $less(b(X194),4)
& ( 5 = b(X195) )
& $less(X193,X192) )
& ! [X196: $int,X197: $int,X198: $int] :
~ ( ( X196 != X197 )
& ( X196 != X198 )
& ( X197 != X198 )
& ( 2 = a(X196) )
& ( 10 = a(X197) )
& ( 5 = a(X198) )
& ( 5 = b(X196) )
& ( 2 = b(X197) )
& $less(X197,X196) )
& ! [X199: $int,X200: $int,X201: $int] :
~ ( ( X199 != X200 )
& ( X199 != X201 )
& ( X200 != X201 )
& ( 12 = a(X199) )
& ( 10 = a(X200) )
& ( 7 = a(X201) )
& ( 5 = b(X199) )
& $less(b(X200),3)
& ( 2 = b(X201) )
& $less(X200,X199) )
& ! [X202: $int,X203: $int,X204: $int,X205: $int] :
~ ( ( X202 != X203 )
& ( X202 != X204 )
& ( X202 != X205 )
& ( X203 != X204 )
& ( X203 != X205 )
& ( X204 != X205 )
& ( 12 = a(X202) )
& ( 10 = a(X203) )
& ( 7 = a(X204) )
& $less(b(X203),3)
& ( 2 = b(X204) )
& ( 5 = b(X205) )
& $less(X203,X202) )
& ! [X206: $int,X207: $int,X208: $int] :
~ ( ( X206 != X207 )
& ( X206 != X208 )
& ( X207 != X208 )
& ( 1 = a(X206) )
& ( 10 = a(X207) )
& ( 5 = a(X208) )
& ( 5 = b(X206) )
& ( 2 = b(X207) )
& $less(X207,X206) )
& ! [X209: $int,X210: $int,X211: $int] :
~ ( ( X209 != X210 )
& ( X209 != X211 )
& ( X210 != X211 )
& ( 12 = a(X209) )
& ( 10 = a(X210) )
& ( 6 = a(X211) )
& ( 5 = b(X209) )
& ( 2 = b(X210) )
& $less(X210,X209) )
& ! [X212: $int,X213: $int,X214: $int] :
~ ( ( X212 != X213 )
& ( X212 != X214 )
& ( X213 != X214 )
& ( 2 = a(X212) )
& ( 10 = a(X213) )
& ( 4 = a(X214) )
& ( 5 = b(X212) )
& ( 2 = b(X213) )
& $less(X213,X212) )
& ! [X215: $int,X216: $int,X217: $int] :
~ ( ( X215 != X216 )
& ( X215 != X217 )
& ( X216 != X217 )
& ( 1 = a(X215) )
& ( 10 = a(X216) )
& ( 4 = a(X217) )
& ( 5 = b(X215) )
& ( 2 = b(X216) )
& $less(X216,X215) )
& ! [X218: $int,X219: $int,X220: $int] :
~ ( ( X218 != X219 )
& ( X218 != X220 )
& ( X219 != X220 )
& ( 12 = a(X218) )
& ( 10 = a(X219) )
& ( 5 = a(X220) )
& ( 5 = b(X218) )
& ( 2 = b(X219) )
& $less(X219,X218) )
& ! [X221: $int,X222: $int,X223: $int] :
~ ( ( X221 != X222 )
& ( X221 != X223 )
& ( X222 != X223 )
& ( 12 = a(X221) )
& ( 10 = a(X222) )
& ( 4 = a(X223) )
& ( 5 = b(X221) )
& ( 2 = b(X222) )
& $less(X222,X221) )
& ! [X224: $int,X225: $int,X226: $int,X227: $int] :
~ ( ( X224 != X225 )
& ( X224 != X226 )
& ( X224 != X227 )
& ( X225 != X226 )
& ( X225 != X227 )
& ( X226 != X227 )
& ( 5 = a(X224) )
& ( 10 = a(X225) )
& ( 2 = a(X227) )
& $less(b(X225),3)
& ( 5 = b(X226) )
& $less(X225,X224) )
& ! [X228: $int,X229: $int,X230: $int,X231: $int] :
~ ( ( X228 != X229 )
& ( X228 != X230 )
& ( X228 != X231 )
& ( X229 != X230 )
& ( X229 != X231 )
& ( X230 != X231 )
& ( 4 = a(X228) )
& ( 10 = a(X229) )
& $less(b(X229),3)
& ( 5 = b(X230) )
& ( 2 = b(X231) )
& $less(X229,X228) )
& ! [X232: $int,X233: $int,X234: $int,X235: $int] :
~ ( ( X232 != X233 )
& ( X232 != X234 )
& ( X232 != X235 )
& ( X233 != X234 )
& ( X233 != X235 )
& ( X234 != X235 )
& ( 5 = a(X232) )
& ( 10 = a(X233) )
& ( 8 = a(X234) )
& ( 2 = a(X235) )
& $less(b(X233),3)
& $less(X233,X232) )
& ! [X236: $int,X237: $int,X238: $int,X239: $int] :
~ ( ( X236 != X237 )
& ( X236 != X238 )
& ( X236 != X239 )
& ( X237 != X238 )
& ( X237 != X239 )
& ( X238 != X239 )
& ( 4 = a(X236) )
& ( 10 = a(X237) )
& ( 8 = a(X238) )
& $less(b(X237),3)
& ( 2 = b(X239) )
& $less(X237,X236) )
& ! [X240: $int,X241: $int,X242: $int,X243: $int] :
~ ( ( X240 != X241 )
& ( X240 != X242 )
& ( X240 != X243 )
& ( X241 != X242 )
& ( X241 != X243 )
& ( X242 != X243 )
& ( 5 = a(X240) )
& ( 10 = a(X241) )
& ( 1 = a(X243) )
& $less(b(X241),3)
& ( 5 = b(X242) )
& $less(X241,X240) )
& ! [X244: $int,X245: $int,X246: $int,X247: $int] :
~ ( ( X244 != X245 )
& ( X244 != X246 )
& ( X244 != X247 )
& ( X245 != X246 )
& ( X245 != X247 )
& ( X246 != X247 )
& ( 4 = a(X244) )
& ( 10 = a(X245) )
& ( 2 = 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 )
& ( 5 = a(X248) )
& ( 10 = a(X249) )
& ( 7 = a(X250) )
& ( 2 = a(X251) )
& ( 5 = b(X248) )
& $less(b(X249),3)
& $less(X249,X248) )
& ! [X252: $int,X253: $int,X254: $int,X255: $int] :
~ ( ( X252 != X253 )
& ( X252 != X254 )
& ( X252 != X255 )
& ( X253 != X254 )
& ( X253 != X255 )
& ( X254 != X255 )
& ( 7 = a(X252) )
& ( 10 = a(X253) )
& ( 5 = 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) )
& ( 4 = a(X258) )
& ( 5 = b(X256) )
& $less(b(X257),3)
& ( 2 = b(X259) )
& $less(X257,X256) )
& ! [X260: $int,X261: $int,X262: $int,X263: $int] :
~ ( ( X260 != X261 )
& ( X260 != X262 )
& ( X260 != X263 )
& ( X261 != X262 )
& ( X261 != X263 )
& ( X262 != X263 )
& ( 5 = a(X260) )
& ( 10 = a(X261) )
& ( 8 = a(X262) )
& ( 1 = a(X263) )
& $less(b(X261),3)
& $less(X261,X260) )
& ! [X264: $int,X265: $int,X266: $int,X267: $int] :
~ ( ( X264 != X265 )
& ( X264 != X266 )
& ( X264 != X267 )
& ( X265 != X266 )
& ( X265 != X267 )
& ( X266 != X267 )
& ( 4 = a(X264) )
& ( 10 = a(X265) )
& ( 8 = a(X266) )
& ( 2 = 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 )
& ( 5 = a(X268) )
& ( 10 = a(X269) )
& ( 7 = a(X270) )
& ( 2 = a(X271) )
& $less(b(X269),3)
& ( 5 = b(X271) )
& $less(X269,X268) )
& ! [X272: $int,X273: $int,X274: $int,X275: $int] :
~ ( ( X272 != X273 )
& ( X272 != X274 )
& ( X272 != X275 )
& ( X273 != X274 )
& ( X273 != X275 )
& ( X274 != X275 )
& ( 3 = a(X272) )
& ( 10 = a(X273) )
& ( 8 = a(X274) )
& $less(b(X272),4)
& $less(b(X273),3)
& $less(b(X274),4)
& ( 2 = 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 )
& ( 4 = a(X276) )
& ( 10 = a(X277) )
& ( 7 = a(X278) )
& ( 5 = b(X276) )
& $less(b(X277),3)
& ( 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) )
& ( 1 = a(X283) )
& $less(b(X281),3)
& ( 5 = b(X282) )
& $less(X281,X280) )
& ! [X284: $int,X285: $int,X286: $int,X287: $int] :
~ ( ( X284 != X285 )
& ( X284 != X286 )
& ( X284 != X287 )
& ( X285 != X286 )
& ( X285 != X287 )
& ( X286 != X287 )
& ( 5 = a(X284) )
& ( 10 = a(X285) )
& ( 12 = a(X287) )
& $less(b(X285),3)
& ( 5 = b(X286) )
& $less(X285,X284) ) )
=> ~ ( ( a(z1) = 4 )
& ( a(z2) = 10 )
& ( a(z3) = 7 )
& $less(b(z2),3)
& ( b(z3) = 2 )
& ( b(z4) = 5 )
& $less(z2,z1) ) ),
inference(rectify,[],[f3]) ).
tff(f17,plain,
~ ( ( ! [X0: $int] :
( ~ $less(a(X0),1)
& ~ $less(12,a(X0)) )
& ! [X1: $int] :
( ~ $less(b(X1),1)
& ~ $less(5,b(X1)) )
& ( 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] :
~ ( ( X90 != X91 )
& ( X90 != X92 )
& ( X91 != X92 )
& ( 5 = a(X90) )
& ( 10 = a(X91) )
& ( 6 = a(X92) )
& ( 5 = b(X90) )
& $less(b(X91),3)
& ( 2 = b(X92) )
& $less(X91,X90) )
& ! [X93: $int,X94: $int,X95: $int,X96: $int] :
~ ( ( X93 != X94 )
& ( X93 != X95 )
& ( X93 != X96 )
& ( X94 != X95 )
& ( X94 != X96 )
& ( X95 != X96 )
& ( 5 = a(X93) )
& ( 10 = a(X94) )
& ( 6 = a(X95) )
& ( 5 = b(X93) )
& $less(b(X94),3)
& ( 2 = b(X96) )
& $less(X94,X93) )
& ! [X97: $int,X98: $int,X99: $int] :
~ ( ( X97 != X98 )
& ( X97 != X99 )
& ( X98 != X99 )
& ( 6 = a(X97) )
& ( 10 = a(X98) )
& ( 5 = a(X99) )
& ( 5 = b(X97) )
& ( 2 = b(X98) )
& $less(X98,X97) )
& ! [X100: $int,X101: $int,X102: $int,X103: $int] :
~ ( ( X100 != X101 )
& ( X100 != X102 )
& ( X100 != X103 )
& ( X101 != X102 )
& ( X101 != X103 )
& ( X102 != X103 )
& ( 6 = a(X100) )
& ( 10 = a(X101) )
& ( 5 = a(X102) )
& ( 5 = b(X100) )
& $less(b(X101),3)
& ( 2 = b(X103) )
& $less(X101,X100) )
& ! [X104: $int,X105: $int,X106: $int] :
~ ( ( X104 != X105 )
& ( X104 != X106 )
& ( X105 != X106 )
& ( 7 = a(X104) )
& ( 10 = a(X105) )
& ( 4 = a(X106) )
& ( 5 = b(X104) )
& ( 2 = b(X105) )
& $less(X105,X104) )
& ! [X107: $int,X108: $int,X109: $int] :
~ ( ( X107 != X108 )
& ( X107 != X109 )
& ( X108 != X109 )
& ( 2 = a(X107) )
& ( 10 = a(X108) )
& ( 8 = a(X109) )
& ( 2 = b(X108) )
& $less(b(X109),4)
& $less(X108,X107) )
& ! [X110: $int,X111: $int,X112: $int,X113: $int] :
~ ( ( X110 != X111 )
& ( X110 != X112 )
& ( X110 != X113 )
& ( X111 != X112 )
& ( X111 != X113 )
& ( X112 != X113 )
& ( 3 = a(X110) )
& ( 10 = a(X111) )
& ( 7 = a(X112) )
& $less(b(X110),4)
& ( 2 = b(X111) )
& $less(b(X112),4)
& ( 5 = b(X113) )
& $less(X111,X110) )
& ! [X114: $int,X115: $int,X116: $int] :
~ ( ( X114 != X115 )
& ( X114 != X116 )
& ( X115 != X116 )
& ( 4 = a(X114) )
& ( 10 = a(X115) )
& ( 6 = a(X116) )
& ( 5 = b(X114) )
& ( 2 = b(X115) )
& $less(X115,X114) )
& ! [X117: $int,X118: $int,X119: $int] :
~ ( ( X117 != X118 )
& ( X117 != X119 )
& ( X118 != X119 )
& ( 5 = a(X117) )
& ( 10 = a(X118) )
& ( 5 = a(X119) )
& ( 5 = b(X117) )
& ( 2 = b(X118) )
& $less(X118,X117) )
& ! [X120: $int,X121: $int,X122: $int] :
~ ( ( X120 != X121 )
& ( X120 != X122 )
& ( X121 != X122 )
& ( 2 = a(X120) )
& ( 10 = a(X121) )
& ( 8 = a(X122) )
& $less(b(X121),3)
& ( 2 = b(X122) )
& $less(X121,X120) )
& ! [X123: $int,X124: $int,X125: $int,X126: $int] :
~ ( ( X123 != X124 )
& ( X123 != X125 )
& ( X123 != X126 )
& ( X124 != X125 )
& ( X124 != X126 )
& ( X125 != X126 )
& ( 3 = a(X123) )
& ( 10 = a(X124) )
& ( 7 = a(X125) )
& $less(b(X123),4)
& $less(b(X124),3)
& ( 2 = b(X125) )
& ( 5 = b(X126) )
& $less(X124,X123) )
& ! [X127: $int,X128: $int,X129: $int,X130: $int] :
~ ( ( X127 != X128 )
& ( X127 != X129 )
& ( X127 != X130 )
& ( X128 != X129 )
& ( X128 != X130 )
& ( X129 != X130 )
& ( 5 = a(X127) )
& ( 10 = a(X128) )
& ( 5 = a(X129) )
& ( 5 = b(X127) )
& $less(b(X128),3)
& ( 2 = b(X129) )
& ( 2 = b(X130) )
& $less(X128,X127) )
& ! [X131: $int,X132: $int,X133: $int] :
~ ( ( X131 != X132 )
& ( X131 != X133 )
& ( X132 != X133 )
& ( 6 = a(X131) )
& ( 10 = a(X132) )
& ( 4 = a(X133) )
& ( 5 = b(X131) )
& ( 2 = b(X132) )
& $less(X132,X131) )
& ! [X134: $int,X135: $int,X136: $int] :
~ ( ( X134 != X135 )
& ( X134 != X136 )
& ( X135 != X136 )
& ( 1 = a(X134) )
& ( 10 = a(X135) )
& ( 8 = a(X136) )
& ( 2 = b(X135) )
& $less(b(X136),4)
& $less(X135,X134) )
& ! [X137: $int,X138: $int,X139: $int] :
~ ( ( X137 != X138 )
& ( X137 != X139 )
& ( X138 != X139 )
& ( 2 = a(X137) )
& ( 10 = a(X138) )
& ( 7 = a(X139) )
& ( 5 = b(X137) )
& ( 2 = b(X138) )
& $less(b(X139),4)
& $less(X138,X137) )
& ! [X140: $int,X141: $int,X142: $int,X143: $int] :
~ ( ( X140 != X141 )
& ( X140 != X142 )
& ( X140 != X143 )
& ( X141 != X142 )
& ( X141 != X143 )
& ( X142 != X143 )
& ( 2 = a(X140) )
& ( 10 = a(X141) )
& ( 7 = a(X142) )
& ( 2 = b(X141) )
& $less(b(X142),4)
& ( 5 = b(X143) )
& $less(X141,X140) )
& ! [X144: $int,X145: $int,X146: $int] :
~ ( ( X144 != X145 )
& ( X144 != X146 )
& ( X145 != X146 )
& ( 4 = a(X144) )
& ( 10 = a(X145) )
& ( 5 = a(X146) )
& ( 5 = b(X144) )
& ( 2 = b(X145) )
& $less(X145,X144) )
& ! [X147: $int,X148: $int,X149: $int] :
~ ( ( X147 != X148 )
& ( X147 != X149 )
& ( X148 != X149 )
& ( 5 = a(X147) )
& ( 10 = a(X148) )
& ( 4 = a(X149) )
& ( 5 = b(X147) )
& ( 2 = b(X148) )
& $less(X148,X147) )
& ! [X150: $int,X151: $int,X152: $int] :
~ ( ( X150 != X151 )
& ( X150 != X152 )
& ( X151 != X152 )
& ( 1 = a(X150) )
& ( 10 = a(X151) )
& ( 8 = a(X152) )
& $less(b(X151),3)
& ( 2 = b(X152) )
& $less(X151,X150) )
& ! [X153: $int,X154: $int,X155: $int] :
~ ( ( X153 != X154 )
& ( X153 != X155 )
& ( X154 != X155 )
& ( 2 = a(X153) )
& ( 10 = a(X154) )
& ( 7 = a(X155) )
& ( 5 = b(X153) )
& $less(b(X154),3)
& ( 2 = b(X155) )
& $less(X154,X153) )
& ! [X156: $int,X157: $int,X158: $int,X159: $int] :
~ ( ( X156 != X157 )
& ( X156 != X158 )
& ( X156 != X159 )
& ( X157 != X158 )
& ( X157 != X159 )
& ( X158 != X159 )
& ( 2 = a(X156) )
& ( 10 = a(X157) )
& ( 7 = a(X158) )
& $less(b(X157),3)
& ( 2 = b(X158) )
& ( 5 = b(X159) )
& $less(X157,X156) )
& ! [X160: $int,X161: $int,X162: $int] :
~ ( ( X160 != X161 )
& ( X160 != X162 )
& ( X161 != X162 )
& ( 1 = a(X160) )
& ( 10 = a(X161) )
& ( 7 = a(X162) )
& ( 5 = b(X160) )
& ( 2 = b(X161) )
& $less(b(X162),4)
& $less(X161,X160) )
& ! [X163: $int,X164: $int,X165: $int,X166: $int] :
~ ( ( X163 != X164 )
& ( X163 != X165 )
& ( X163 != X166 )
& ( X164 != X165 )
& ( X164 != X166 )
& ( X165 != X166 )
& ( 1 = a(X163) )
& ( 10 = a(X164) )
& ( 7 = a(X165) )
& ( 2 = b(X164) )
& $less(b(X165),4)
& ( 5 = b(X166) )
& $less(X164,X163) )
& ! [X167: $int,X168: $int,X169: $int] :
~ ( ( X167 != X168 )
& ( X167 != X169 )
& ( X168 != X169 )
& ( 12 = a(X167) )
& ( 10 = a(X168) )
& ( 8 = a(X169) )
& ( 2 = b(X168) )
& $less(b(X169),4)
& $less(X168,X167) )
& ! [X170: $int,X171: $int,X172: $int] :
~ ( ( X170 != X171 )
& ( X170 != X172 )
& ( X171 != X172 )
& ( 2 = a(X170) )
& ( 10 = a(X171) )
& ( 6 = a(X172) )
& ( 5 = b(X170) )
& ( 2 = b(X171) )
& $less(X171,X170) )
& ! [X173: $int,X174: $int,X175: $int] :
~ ( ( X173 != X174 )
& ( X173 != X175 )
& ( X174 != X175 )
& ( 4 = a(X173) )
& ( 10 = a(X174) )
& ( 4 = a(X175) )
& ( 5 = b(X173) )
& ( 2 = b(X174) )
& $less(X174,X173) )
& ! [X176: $int,X177: $int,X178: $int] :
~ ( ( X176 != X177 )
& ( X176 != X178 )
& ( X177 != X178 )
& ( 1 = a(X176) )
& ( 10 = a(X177) )
& ( 7 = a(X178) )
& ( 5 = b(X176) )
& $less(b(X177),3)
& ( 2 = b(X178) )
& $less(X177,X176) )
& ! [X179: $int,X180: $int,X181: $int,X182: $int] :
~ ( ( X179 != X180 )
& ( X179 != X181 )
& ( X179 != X182 )
& ( X180 != X181 )
& ( X180 != X182 )
& ( X181 != X182 )
& ( 1 = a(X179) )
& ( 10 = a(X180) )
& ( 7 = a(X181) )
& $less(b(X180),3)
& ( 2 = b(X181) )
& ( 5 = b(X182) )
& $less(X180,X179) )
& ! [X183: $int,X184: $int,X185: $int] :
~ ( ( X183 != X184 )
& ( X183 != X185 )
& ( X184 != X185 )
& ( 12 = a(X183) )
& ( 10 = a(X184) )
& ( 8 = a(X185) )
& $less(b(X184),3)
& ( 2 = b(X185) )
& $less(X184,X183) )
& ! [X186: $int,X187: $int,X188: $int] :
~ ( ( X186 != X187 )
& ( X186 != X188 )
& ( X187 != X188 )
& ( 1 = a(X186) )
& ( 10 = a(X187) )
& ( 6 = a(X188) )
& ( 5 = b(X186) )
& ( 2 = b(X187) )
& $less(X187,X186) )
& ! [X189: $int,X190: $int,X191: $int] :
~ ( ( X189 != X190 )
& ( X189 != X191 )
& ( X190 != X191 )
& ( 12 = a(X189) )
& ( 10 = a(X190) )
& ( 7 = a(X191) )
& ( 5 = b(X189) )
& ( 2 = b(X190) )
& $less(b(X191),4)
& $less(X190,X189) )
& ! [X192: $int,X193: $int,X194: $int,X195: $int] :
~ ( ( X192 != X193 )
& ( X192 != X194 )
& ( X192 != X195 )
& ( X193 != X194 )
& ( X193 != X195 )
& ( X194 != X195 )
& ( 12 = a(X192) )
& ( 10 = a(X193) )
& ( 7 = a(X194) )
& ( 2 = b(X193) )
& $less(b(X194),4)
& ( 5 = b(X195) )
& $less(X193,X192) )
& ! [X196: $int,X197: $int,X198: $int] :
~ ( ( X196 != X197 )
& ( X196 != X198 )
& ( X197 != X198 )
& ( 2 = a(X196) )
& ( 10 = a(X197) )
& ( 5 = a(X198) )
& ( 5 = b(X196) )
& ( 2 = b(X197) )
& $less(X197,X196) )
& ! [X199: $int,X200: $int,X201: $int] :
~ ( ( X199 != X200 )
& ( X199 != X201 )
& ( X200 != X201 )
& ( 12 = a(X199) )
& ( 10 = a(X200) )
& ( 7 = a(X201) )
& ( 5 = b(X199) )
& $less(b(X200),3)
& ( 2 = b(X201) )
& $less(X200,X199) )
& ! [X202: $int,X203: $int,X204: $int,X205: $int] :
~ ( ( X202 != X203 )
& ( X202 != X204 )
& ( X202 != X205 )
& ( X203 != X204 )
& ( X203 != X205 )
& ( X204 != X205 )
& ( 12 = a(X202) )
& ( 10 = a(X203) )
& ( 7 = a(X204) )
& $less(b(X203),3)
& ( 2 = b(X204) )
& ( 5 = b(X205) )
& $less(X203,X202) )
& ! [X206: $int,X207: $int,X208: $int] :
~ ( ( X206 != X207 )
& ( X206 != X208 )
& ( X207 != X208 )
& ( 1 = a(X206) )
& ( 10 = a(X207) )
& ( 5 = a(X208) )
& ( 5 = b(X206) )
& ( 2 = b(X207) )
& $less(X207,X206) )
& ! [X209: $int,X210: $int,X211: $int] :
~ ( ( X209 != X210 )
& ( X209 != X211 )
& ( X210 != X211 )
& ( 12 = a(X209) )
& ( 10 = a(X210) )
& ( 6 = a(X211) )
& ( 5 = b(X209) )
& ( 2 = b(X210) )
& $less(X210,X209) )
& ! [X212: $int,X213: $int,X214: $int] :
~ ( ( X212 != X213 )
& ( X212 != X214 )
& ( X213 != X214 )
& ( 2 = a(X212) )
& ( 10 = a(X213) )
& ( 4 = a(X214) )
& ( 5 = b(X212) )
& ( 2 = b(X213) )
& $less(X213,X212) )
& ! [X215: $int,X216: $int,X217: $int] :
~ ( ( X215 != X216 )
& ( X215 != X217 )
& ( X216 != X217 )
& ( 1 = a(X215) )
& ( 10 = a(X216) )
& ( 4 = a(X217) )
& ( 5 = b(X215) )
& ( 2 = b(X216) )
& $less(X216,X215) )
& ! [X218: $int,X219: $int,X220: $int] :
~ ( ( X218 != X219 )
& ( X218 != X220 )
& ( X219 != X220 )
& ( 12 = a(X218) )
& ( 10 = a(X219) )
& ( 5 = a(X220) )
& ( 5 = b(X218) )
& ( 2 = b(X219) )
& $less(X219,X218) )
& ! [X221: $int,X222: $int,X223: $int] :
~ ( ( X221 != X222 )
& ( X221 != X223 )
& ( X222 != X223 )
& ( 12 = a(X221) )
& ( 10 = a(X222) )
& ( 4 = a(X223) )
& ( 5 = b(X221) )
& ( 2 = b(X222) )
& $less(X222,X221) )
& ! [X224: $int,X225: $int,X226: $int,X227: $int] :
~ ( ( X224 != X225 )
& ( X224 != X226 )
& ( X224 != X227 )
& ( X225 != X226 )
& ( X225 != X227 )
& ( X226 != X227 )
& ( 5 = a(X224) )
& ( 10 = a(X225) )
& ( 2 = a(X227) )
& $less(b(X225),3)
& ( 5 = b(X226) )
& $less(X225,X224) )
& ! [X228: $int,X229: $int,X230: $int,X231: $int] :
~ ( ( X228 != X229 )
& ( X228 != X230 )
& ( X228 != X231 )
& ( X229 != X230 )
& ( X229 != X231 )
& ( X230 != X231 )
& ( 4 = a(X228) )
& ( 10 = a(X229) )
& $less(b(X229),3)
& ( 5 = b(X230) )
& ( 2 = b(X231) )
& $less(X229,X228) )
& ! [X232: $int,X233: $int,X234: $int,X235: $int] :
~ ( ( X232 != X233 )
& ( X232 != X234 )
& ( X232 != X235 )
& ( X233 != X234 )
& ( X233 != X235 )
& ( X234 != X235 )
& ( 5 = a(X232) )
& ( 10 = a(X233) )
& ( 8 = a(X234) )
& ( 2 = a(X235) )
& $less(b(X233),3)
& $less(X233,X232) )
& ! [X236: $int,X237: $int,X238: $int,X239: $int] :
~ ( ( X236 != X237 )
& ( X236 != X238 )
& ( X236 != X239 )
& ( X237 != X238 )
& ( X237 != X239 )
& ( X238 != X239 )
& ( 4 = a(X236) )
& ( 10 = a(X237) )
& ( 8 = a(X238) )
& $less(b(X237),3)
& ( 2 = b(X239) )
& $less(X237,X236) )
& ! [X240: $int,X241: $int,X242: $int,X243: $int] :
~ ( ( X240 != X241 )
& ( X240 != X242 )
& ( X240 != X243 )
& ( X241 != X242 )
& ( X241 != X243 )
& ( X242 != X243 )
& ( 5 = a(X240) )
& ( 10 = a(X241) )
& ( 1 = a(X243) )
& $less(b(X241),3)
& ( 5 = b(X242) )
& $less(X241,X240) )
& ! [X244: $int,X245: $int,X246: $int,X247: $int] :
~ ( ( X244 != X245 )
& ( X244 != X246 )
& ( X244 != X247 )
& ( X245 != X246 )
& ( X245 != X247 )
& ( X246 != X247 )
& ( 4 = a(X244) )
& ( 10 = a(X245) )
& ( 2 = 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 )
& ( 5 = a(X248) )
& ( 10 = a(X249) )
& ( 7 = a(X250) )
& ( 2 = a(X251) )
& ( 5 = b(X248) )
& $less(b(X249),3)
& $less(X249,X248) )
& ! [X252: $int,X253: $int,X254: $int,X255: $int] :
~ ( ( X252 != X253 )
& ( X252 != X254 )
& ( X252 != X255 )
& ( X253 != X254 )
& ( X253 != X255 )
& ( X254 != X255 )
& ( 7 = a(X252) )
& ( 10 = a(X253) )
& ( 5 = 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) )
& ( 4 = a(X258) )
& ( 5 = b(X256) )
& $less(b(X257),3)
& ( 2 = b(X259) )
& $less(X257,X256) )
& ! [X260: $int,X261: $int,X262: $int,X263: $int] :
~ ( ( X260 != X261 )
& ( X260 != X262 )
& ( X260 != X263 )
& ( X261 != X262 )
& ( X261 != X263 )
& ( X262 != X263 )
& ( 5 = a(X260) )
& ( 10 = a(X261) )
& ( 8 = a(X262) )
& ( 1 = a(X263) )
& $less(b(X261),3)
& $less(X261,X260) )
& ! [X264: $int,X265: $int,X266: $int,X267: $int] :
~ ( ( X264 != X265 )
& ( X264 != X266 )
& ( X264 != X267 )
& ( X265 != X266 )
& ( X265 != X267 )
& ( X266 != X267 )
& ( 4 = a(X264) )
& ( 10 = a(X265) )
& ( 8 = a(X266) )
& ( 2 = 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 )
& ( 5 = a(X268) )
& ( 10 = a(X269) )
& ( 7 = a(X270) )
& ( 2 = a(X271) )
& $less(b(X269),3)
& ( 5 = b(X271) )
& $less(X269,X268) )
& ! [X272: $int,X273: $int,X274: $int,X275: $int] :
~ ( ( X272 != X273 )
& ( X272 != X274 )
& ( X272 != X275 )
& ( X273 != X274 )
& ( X273 != X275 )
& ( X274 != X275 )
& ( 3 = a(X272) )
& ( 10 = a(X273) )
& ( 8 = a(X274) )
& $less(b(X272),4)
& $less(b(X273),3)
& $less(b(X274),4)
& ( 2 = 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 )
& ( 4 = a(X276) )
& ( 10 = a(X277) )
& ( 7 = a(X278) )
& ( 5 = b(X276) )
& $less(b(X277),3)
& ( 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) )
& ( 1 = a(X283) )
& $less(b(X281),3)
& ( 5 = b(X282) )
& $less(X281,X280) )
& ! [X284: $int,X285: $int,X286: $int,X287: $int] :
~ ( ( X284 != X285 )
& ( X284 != X286 )
& ( X284 != X287 )
& ( X285 != X286 )
& ( X285 != X287 )
& ( X286 != X287 )
& ( 5 = a(X284) )
& ( 10 = a(X285) )
& ( 12 = a(X287) )
& $less(b(X285),3)
& ( 5 = b(X286) )
& $less(X285,X284) ) )
=> ~ ( ( a(z1) = 4 )
& ( a(z2) = 10 )
& ( a(z3) = 7 )
& $less(b(z2),3)
& ( b(z3) = 2 )
& ( b(z4) = 5 )
& $less(z2,z1) ) ),
inference(true_and_false_elimination,[],[f16]) ).
tff(f18,plain,
( ( a(z1) = 4 )
& ( a(z2) = 10 )
& ( a(z3) = 7 )
& $less(b(z2),3)
& ( b(z3) = 2 )
& ( 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)) )
& ( 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] :
( ( X90 = X91 )
| ( X90 = X92 )
| ( X91 = X92 )
| ( 5 != a(X90) )
| ( 10 != a(X91) )
| ( 6 != a(X92) )
| ( 5 != b(X90) )
| ~ $less(b(X91),3)
| ( 2 != b(X92) )
| ~ $less(X91,X90) )
& ! [X93: $int,X94: $int,X95: $int,X96: $int] :
( ( X93 = X94 )
| ( X93 = X95 )
| ( X93 = X96 )
| ( X94 = X95 )
| ( X94 = X96 )
| ( X95 = X96 )
| ( 5 != a(X93) )
| ( 10 != a(X94) )
| ( 6 != a(X95) )
| ( 5 != b(X93) )
| ~ $less(b(X94),3)
| ( 2 != b(X96) )
| ~ $less(X94,X93) )
& ! [X97: $int,X98: $int,X99: $int] :
( ( X97 = X98 )
| ( X97 = X99 )
| ( X98 = X99 )
| ( 6 != a(X97) )
| ( 10 != a(X98) )
| ( 5 != a(X99) )
| ( 5 != b(X97) )
| ( 2 != b(X98) )
| ~ $less(X98,X97) )
& ! [X100: $int,X101: $int,X102: $int,X103: $int] :
( ( X100 = X101 )
| ( X100 = X102 )
| ( X100 = X103 )
| ( X101 = X102 )
| ( X101 = X103 )
| ( X102 = X103 )
| ( 6 != a(X100) )
| ( 10 != a(X101) )
| ( 5 != a(X102) )
| ( 5 != b(X100) )
| ~ $less(b(X101),3)
| ( 2 != b(X103) )
| ~ $less(X101,X100) )
& ! [X104: $int,X105: $int,X106: $int] :
( ( X104 = X105 )
| ( X104 = X106 )
| ( X105 = X106 )
| ( 7 != a(X104) )
| ( 10 != a(X105) )
| ( 4 != a(X106) )
| ( 5 != b(X104) )
| ( 2 != b(X105) )
| ~ $less(X105,X104) )
& ! [X107: $int,X108: $int,X109: $int] :
( ( X107 = X108 )
| ( X107 = X109 )
| ( X108 = X109 )
| ( 2 != a(X107) )
| ( 10 != a(X108) )
| ( 8 != a(X109) )
| ( 2 != b(X108) )
| ~ $less(b(X109),4)
| ~ $less(X108,X107) )
& ! [X110: $int,X111: $int,X112: $int,X113: $int] :
( ( X110 = X111 )
| ( X110 = X112 )
| ( X110 = X113 )
| ( X111 = X112 )
| ( X111 = X113 )
| ( X112 = X113 )
| ( 3 != a(X110) )
| ( 10 != a(X111) )
| ( 7 != a(X112) )
| ~ $less(b(X110),4)
| ( 2 != b(X111) )
| ~ $less(b(X112),4)
| ( 5 != b(X113) )
| ~ $less(X111,X110) )
& ! [X114: $int,X115: $int,X116: $int] :
( ( X114 = X115 )
| ( X114 = X116 )
| ( X115 = X116 )
| ( 4 != a(X114) )
| ( 10 != a(X115) )
| ( 6 != a(X116) )
| ( 5 != b(X114) )
| ( 2 != b(X115) )
| ~ $less(X115,X114) )
& ! [X117: $int,X118: $int,X119: $int] :
( ( X117 = X118 )
| ( X117 = X119 )
| ( X118 = X119 )
| ( 5 != a(X117) )
| ( 10 != a(X118) )
| ( 5 != a(X119) )
| ( 5 != b(X117) )
| ( 2 != b(X118) )
| ~ $less(X118,X117) )
& ! [X120: $int,X121: $int,X122: $int] :
( ( X120 = X121 )
| ( X120 = X122 )
| ( X121 = X122 )
| ( 2 != a(X120) )
| ( 10 != a(X121) )
| ( 8 != a(X122) )
| ~ $less(b(X121),3)
| ( 2 != b(X122) )
| ~ $less(X121,X120) )
& ! [X123: $int,X124: $int,X125: $int,X126: $int] :
( ( X123 = X124 )
| ( X123 = X125 )
| ( X123 = X126 )
| ( X124 = X125 )
| ( X124 = X126 )
| ( X125 = X126 )
| ( 3 != a(X123) )
| ( 10 != a(X124) )
| ( 7 != a(X125) )
| ~ $less(b(X123),4)
| ~ $less(b(X124),3)
| ( 2 != b(X125) )
| ( 5 != b(X126) )
| ~ $less(X124,X123) )
& ! [X127: $int,X128: $int,X129: $int,X130: $int] :
( ( X127 = X128 )
| ( X127 = X129 )
| ( X127 = X130 )
| ( X128 = X129 )
| ( X128 = X130 )
| ( X129 = X130 )
| ( 5 != a(X127) )
| ( 10 != a(X128) )
| ( 5 != a(X129) )
| ( 5 != b(X127) )
| ~ $less(b(X128),3)
| ( 2 != b(X129) )
| ( 2 != b(X130) )
| ~ $less(X128,X127) )
& ! [X131: $int,X132: $int,X133: $int] :
( ( X131 = X132 )
| ( X131 = X133 )
| ( X132 = X133 )
| ( 6 != a(X131) )
| ( 10 != a(X132) )
| ( 4 != a(X133) )
| ( 5 != b(X131) )
| ( 2 != b(X132) )
| ~ $less(X132,X131) )
& ! [X134: $int,X135: $int,X136: $int] :
( ( X134 = X135 )
| ( X134 = X136 )
| ( X135 = X136 )
| ( 1 != a(X134) )
| ( 10 != a(X135) )
| ( 8 != a(X136) )
| ( 2 != b(X135) )
| ~ $less(b(X136),4)
| ~ $less(X135,X134) )
& ! [X137: $int,X138: $int,X139: $int] :
( ( X137 = X138 )
| ( X137 = X139 )
| ( X138 = X139 )
| ( 2 != a(X137) )
| ( 10 != a(X138) )
| ( 7 != a(X139) )
| ( 5 != b(X137) )
| ( 2 != b(X138) )
| ~ $less(b(X139),4)
| ~ $less(X138,X137) )
& ! [X140: $int,X141: $int,X142: $int,X143: $int] :
( ( X140 = X141 )
| ( X140 = X142 )
| ( X140 = X143 )
| ( X141 = X142 )
| ( X141 = X143 )
| ( X142 = X143 )
| ( 2 != a(X140) )
| ( 10 != a(X141) )
| ( 7 != a(X142) )
| ( 2 != b(X141) )
| ~ $less(b(X142),4)
| ( 5 != b(X143) )
| ~ $less(X141,X140) )
& ! [X144: $int,X145: $int,X146: $int] :
( ( X144 = X145 )
| ( X144 = X146 )
| ( X145 = X146 )
| ( 4 != a(X144) )
| ( 10 != a(X145) )
| ( 5 != a(X146) )
| ( 5 != b(X144) )
| ( 2 != b(X145) )
| ~ $less(X145,X144) )
& ! [X147: $int,X148: $int,X149: $int] :
( ( X147 = X148 )
| ( X147 = X149 )
| ( X148 = X149 )
| ( 5 != a(X147) )
| ( 10 != a(X148) )
| ( 4 != a(X149) )
| ( 5 != b(X147) )
| ( 2 != b(X148) )
| ~ $less(X148,X147) )
& ! [X150: $int,X151: $int,X152: $int] :
( ( X150 = X151 )
| ( X150 = X152 )
| ( X151 = X152 )
| ( 1 != a(X150) )
| ( 10 != a(X151) )
| ( 8 != a(X152) )
| ~ $less(b(X151),3)
| ( 2 != b(X152) )
| ~ $less(X151,X150) )
& ! [X153: $int,X154: $int,X155: $int] :
( ( X153 = X154 )
| ( X153 = X155 )
| ( X154 = X155 )
| ( 2 != a(X153) )
| ( 10 != a(X154) )
| ( 7 != a(X155) )
| ( 5 != b(X153) )
| ~ $less(b(X154),3)
| ( 2 != b(X155) )
| ~ $less(X154,X153) )
& ! [X156: $int,X157: $int,X158: $int,X159: $int] :
( ( X156 = X157 )
| ( X156 = X158 )
| ( X156 = X159 )
| ( X157 = X158 )
| ( X157 = X159 )
| ( X158 = X159 )
| ( 2 != a(X156) )
| ( 10 != a(X157) )
| ( 7 != a(X158) )
| ~ $less(b(X157),3)
| ( 2 != b(X158) )
| ( 5 != b(X159) )
| ~ $less(X157,X156) )
& ! [X160: $int,X161: $int,X162: $int] :
( ( X160 = X161 )
| ( X160 = X162 )
| ( X161 = X162 )
| ( 1 != a(X160) )
| ( 10 != a(X161) )
| ( 7 != a(X162) )
| ( 5 != b(X160) )
| ( 2 != b(X161) )
| ~ $less(b(X162),4)
| ~ $less(X161,X160) )
& ! [X163: $int,X164: $int,X165: $int,X166: $int] :
( ( X163 = X164 )
| ( X163 = X165 )
| ( X163 = X166 )
| ( X164 = X165 )
| ( X164 = X166 )
| ( X165 = X166 )
| ( 1 != a(X163) )
| ( 10 != a(X164) )
| ( 7 != a(X165) )
| ( 2 != b(X164) )
| ~ $less(b(X165),4)
| ( 5 != b(X166) )
| ~ $less(X164,X163) )
& ! [X167: $int,X168: $int,X169: $int] :
( ( X167 = X168 )
| ( X167 = X169 )
| ( X168 = X169 )
| ( 12 != a(X167) )
| ( 10 != a(X168) )
| ( 8 != a(X169) )
| ( 2 != b(X168) )
| ~ $less(b(X169),4)
| ~ $less(X168,X167) )
& ! [X170: $int,X171: $int,X172: $int] :
( ( X170 = X171 )
| ( X170 = X172 )
| ( X171 = X172 )
| ( 2 != a(X170) )
| ( 10 != a(X171) )
| ( 6 != a(X172) )
| ( 5 != b(X170) )
| ( 2 != b(X171) )
| ~ $less(X171,X170) )
& ! [X173: $int,X174: $int,X175: $int] :
( ( X173 = X174 )
| ( X173 = X175 )
| ( X174 = X175 )
| ( 4 != a(X173) )
| ( 10 != a(X174) )
| ( 4 != a(X175) )
| ( 5 != b(X173) )
| ( 2 != b(X174) )
| ~ $less(X174,X173) )
& ! [X176: $int,X177: $int,X178: $int] :
( ( X176 = X177 )
| ( X176 = X178 )
| ( X177 = X178 )
| ( 1 != a(X176) )
| ( 10 != a(X177) )
| ( 7 != a(X178) )
| ( 5 != b(X176) )
| ~ $less(b(X177),3)
| ( 2 != b(X178) )
| ~ $less(X177,X176) )
& ! [X179: $int,X180: $int,X181: $int,X182: $int] :
( ( X179 = X180 )
| ( X179 = X181 )
| ( X179 = X182 )
| ( X180 = X181 )
| ( X180 = X182 )
| ( X181 = X182 )
| ( 1 != a(X179) )
| ( 10 != a(X180) )
| ( 7 != a(X181) )
| ~ $less(b(X180),3)
| ( 2 != b(X181) )
| ( 5 != b(X182) )
| ~ $less(X180,X179) )
& ! [X183: $int,X184: $int,X185: $int] :
( ( X183 = X184 )
| ( X183 = X185 )
| ( X184 = X185 )
| ( 12 != a(X183) )
| ( 10 != a(X184) )
| ( 8 != a(X185) )
| ~ $less(b(X184),3)
| ( 2 != b(X185) )
| ~ $less(X184,X183) )
& ! [X186: $int,X187: $int,X188: $int] :
( ( X186 = X187 )
| ( X186 = X188 )
| ( X187 = X188 )
| ( 1 != a(X186) )
| ( 10 != a(X187) )
| ( 6 != a(X188) )
| ( 5 != b(X186) )
| ( 2 != b(X187) )
| ~ $less(X187,X186) )
& ! [X189: $int,X190: $int,X191: $int] :
( ( X189 = X190 )
| ( X189 = X191 )
| ( X190 = X191 )
| ( 12 != a(X189) )
| ( 10 != a(X190) )
| ( 7 != a(X191) )
| ( 5 != b(X189) )
| ( 2 != b(X190) )
| ~ $less(b(X191),4)
| ~ $less(X190,X189) )
& ! [X192: $int,X193: $int,X194: $int,X195: $int] :
( ( X192 = X193 )
| ( X192 = X194 )
| ( X192 = X195 )
| ( X193 = X194 )
| ( X193 = X195 )
| ( X194 = X195 )
| ( 12 != a(X192) )
| ( 10 != a(X193) )
| ( 7 != a(X194) )
| ( 2 != b(X193) )
| ~ $less(b(X194),4)
| ( 5 != b(X195) )
| ~ $less(X193,X192) )
& ! [X196: $int,X197: $int,X198: $int] :
( ( X196 = X197 )
| ( X196 = X198 )
| ( X197 = X198 )
| ( 2 != a(X196) )
| ( 10 != a(X197) )
| ( 5 != a(X198) )
| ( 5 != b(X196) )
| ( 2 != b(X197) )
| ~ $less(X197,X196) )
& ! [X199: $int,X200: $int,X201: $int] :
( ( X199 = X200 )
| ( X199 = X201 )
| ( X200 = X201 )
| ( 12 != a(X199) )
| ( 10 != a(X200) )
| ( 7 != a(X201) )
| ( 5 != b(X199) )
| ~ $less(b(X200),3)
| ( 2 != b(X201) )
| ~ $less(X200,X199) )
& ! [X202: $int,X203: $int,X204: $int,X205: $int] :
( ( X202 = X203 )
| ( X202 = X204 )
| ( X202 = X205 )
| ( X203 = X204 )
| ( X203 = X205 )
| ( X204 = X205 )
| ( 12 != a(X202) )
| ( 10 != a(X203) )
| ( 7 != a(X204) )
| ~ $less(b(X203),3)
| ( 2 != b(X204) )
| ( 5 != b(X205) )
| ~ $less(X203,X202) )
& ! [X206: $int,X207: $int,X208: $int] :
( ( X206 = X207 )
| ( X206 = X208 )
| ( X207 = X208 )
| ( 1 != a(X206) )
| ( 10 != a(X207) )
| ( 5 != a(X208) )
| ( 5 != b(X206) )
| ( 2 != b(X207) )
| ~ $less(X207,X206) )
& ! [X209: $int,X210: $int,X211: $int] :
( ( X209 = X210 )
| ( X209 = X211 )
| ( X210 = X211 )
| ( 12 != a(X209) )
| ( 10 != a(X210) )
| ( 6 != a(X211) )
| ( 5 != b(X209) )
| ( 2 != b(X210) )
| ~ $less(X210,X209) )
& ! [X212: $int,X213: $int,X214: $int] :
( ( X212 = X213 )
| ( X212 = X214 )
| ( X213 = X214 )
| ( 2 != a(X212) )
| ( 10 != a(X213) )
| ( 4 != a(X214) )
| ( 5 != b(X212) )
| ( 2 != b(X213) )
| ~ $less(X213,X212) )
& ! [X215: $int,X216: $int,X217: $int] :
( ( X215 = X216 )
| ( X215 = X217 )
| ( X216 = X217 )
| ( 1 != a(X215) )
| ( 10 != a(X216) )
| ( 4 != a(X217) )
| ( 5 != b(X215) )
| ( 2 != b(X216) )
| ~ $less(X216,X215) )
& ! [X218: $int,X219: $int,X220: $int] :
( ( X218 = X219 )
| ( X218 = X220 )
| ( X219 = X220 )
| ( 12 != a(X218) )
| ( 10 != a(X219) )
| ( 5 != a(X220) )
| ( 5 != b(X218) )
| ( 2 != b(X219) )
| ~ $less(X219,X218) )
& ! [X221: $int,X222: $int,X223: $int] :
( ( X221 = X222 )
| ( X221 = X223 )
| ( X222 = X223 )
| ( 12 != a(X221) )
| ( 10 != a(X222) )
| ( 4 != a(X223) )
| ( 5 != b(X221) )
| ( 2 != b(X222) )
| ~ $less(X222,X221) )
& ! [X224: $int,X225: $int,X226: $int,X227: $int] :
( ( X224 = X225 )
| ( X224 = X226 )
| ( X224 = X227 )
| ( X225 = X226 )
| ( X225 = X227 )
| ( X226 = X227 )
| ( 5 != a(X224) )
| ( 10 != a(X225) )
| ( 2 != a(X227) )
| ~ $less(b(X225),3)
| ( 5 != b(X226) )
| ~ $less(X225,X224) )
& ! [X228: $int,X229: $int,X230: $int,X231: $int] :
( ( X228 = X229 )
| ( X228 = X230 )
| ( X228 = X231 )
| ( X229 = X230 )
| ( X229 = X231 )
| ( X230 = X231 )
| ( 4 != a(X228) )
| ( 10 != a(X229) )
| ~ $less(b(X229),3)
| ( 5 != b(X230) )
| ( 2 != b(X231) )
| ~ $less(X229,X228) )
& ! [X232: $int,X233: $int,X234: $int,X235: $int] :
( ( X232 = X233 )
| ( X232 = X234 )
| ( X232 = X235 )
| ( X233 = X234 )
| ( X233 = X235 )
| ( X234 = X235 )
| ( 5 != a(X232) )
| ( 10 != a(X233) )
| ( 8 != a(X234) )
| ( 2 != a(X235) )
| ~ $less(b(X233),3)
| ~ $less(X233,X232) )
& ! [X236: $int,X237: $int,X238: $int,X239: $int] :
( ( X236 = X237 )
| ( X236 = X238 )
| ( X236 = X239 )
| ( X237 = X238 )
| ( X237 = X239 )
| ( X238 = X239 )
| ( 4 != a(X236) )
| ( 10 != a(X237) )
| ( 8 != a(X238) )
| ~ $less(b(X237),3)
| ( 2 != b(X239) )
| ~ $less(X237,X236) )
& ! [X240: $int,X241: $int,X242: $int,X243: $int] :
( ( X240 = X241 )
| ( X240 = X242 )
| ( X240 = X243 )
| ( X241 = X242 )
| ( X241 = X243 )
| ( X242 = X243 )
| ( 5 != a(X240) )
| ( 10 != a(X241) )
| ( 1 != a(X243) )
| ~ $less(b(X241),3)
| ( 5 != b(X242) )
| ~ $less(X241,X240) )
& ! [X244: $int,X245: $int,X246: $int,X247: $int] :
( ( X244 = X245 )
| ( X244 = X246 )
| ( X244 = X247 )
| ( X245 = X246 )
| ( X245 = X247 )
| ( X246 = X247 )
| ( 4 != a(X244) )
| ( 10 != a(X245) )
| ( 2 != 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 )
| ( 5 != a(X248) )
| ( 10 != a(X249) )
| ( 7 != a(X250) )
| ( 2 != a(X251) )
| ( 5 != b(X248) )
| ~ $less(b(X249),3)
| ~ $less(X249,X248) )
& ! [X252: $int,X253: $int,X254: $int,X255: $int] :
( ( X252 = X253 )
| ( X252 = X254 )
| ( X252 = X255 )
| ( X253 = X254 )
| ( X253 = X255 )
| ( X254 = X255 )
| ( 7 != a(X252) )
| ( 10 != a(X253) )
| ( 5 != 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) )
| ( 4 != a(X258) )
| ( 5 != b(X256) )
| ~ $less(b(X257),3)
| ( 2 != b(X259) )
| ~ $less(X257,X256) )
& ! [X260: $int,X261: $int,X262: $int,X263: $int] :
( ( X260 = X261 )
| ( X260 = X262 )
| ( X260 = X263 )
| ( X261 = X262 )
| ( X261 = X263 )
| ( X262 = X263 )
| ( 5 != a(X260) )
| ( 10 != a(X261) )
| ( 8 != a(X262) )
| ( 1 != a(X263) )
| ~ $less(b(X261),3)
| ~ $less(X261,X260) )
& ! [X264: $int,X265: $int,X266: $int,X267: $int] :
( ( X264 = X265 )
| ( X264 = X266 )
| ( X264 = X267 )
| ( X265 = X266 )
| ( X265 = X267 )
| ( X266 = X267 )
| ( 4 != a(X264) )
| ( 10 != a(X265) )
| ( 8 != a(X266) )
| ( 2 != 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 )
| ( 5 != a(X268) )
| ( 10 != a(X269) )
| ( 7 != a(X270) )
| ( 2 != a(X271) )
| ~ $less(b(X269),3)
| ( 5 != b(X271) )
| ~ $less(X269,X268) )
& ! [X272: $int,X273: $int,X274: $int,X275: $int] :
( ( X272 = X273 )
| ( X272 = X274 )
| ( X272 = X275 )
| ( X273 = X274 )
| ( X273 = X275 )
| ( X274 = X275 )
| ( 3 != a(X272) )
| ( 10 != a(X273) )
| ( 8 != a(X274) )
| ~ $less(b(X272),4)
| ~ $less(b(X273),3)
| ~ $less(b(X274),4)
| ( 2 != 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 )
| ( 4 != a(X276) )
| ( 10 != a(X277) )
| ( 7 != a(X278) )
| ( 5 != b(X276) )
| ~ $less(b(X277),3)
| ( 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) )
| ( 1 != a(X283) )
| ~ $less(b(X281),3)
| ( 5 != b(X282) )
| ~ $less(X281,X280) )
& ! [X284: $int,X285: $int,X286: $int,X287: $int] :
( ( X284 = X285 )
| ( X284 = X286 )
| ( X284 = X287 )
| ( X285 = X286 )
| ( X285 = X287 )
| ( X286 = X287 )
| ( 5 != a(X284) )
| ( 10 != a(X285) )
| ( 12 != a(X287) )
| ~ $less(b(X285),3)
| ( 5 != b(X286) )
| ~ $less(X285,X284) ) ),
inference(ennf_transformation,[],[f17]) ).
tff(f19,plain,
( ( a(z1) = 4 )
& ( a(z2) = 10 )
& ( a(z3) = 7 )
& $less(b(z2),3)
& ( b(z3) = 2 )
& ( 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)) )
& ( 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] :
( ( X90 = X91 )
| ( X90 = X92 )
| ( X91 = X92 )
| ( 5 != a(X90) )
| ( 10 != a(X91) )
| ( 6 != a(X92) )
| ( 5 != b(X90) )
| ~ $less(b(X91),3)
| ( 2 != b(X92) )
| ~ $less(X91,X90) )
& ! [X93: $int,X94: $int,X95: $int,X96: $int] :
( ( X93 = X94 )
| ( X93 = X95 )
| ( X93 = X96 )
| ( X94 = X95 )
| ( X94 = X96 )
| ( X95 = X96 )
| ( 5 != a(X93) )
| ( 10 != a(X94) )
| ( 6 != a(X95) )
| ( 5 != b(X93) )
| ~ $less(b(X94),3)
| ( 2 != b(X96) )
| ~ $less(X94,X93) )
& ! [X97: $int,X98: $int,X99: $int] :
( ( X97 = X98 )
| ( X97 = X99 )
| ( X98 = X99 )
| ( 6 != a(X97) )
| ( 10 != a(X98) )
| ( 5 != a(X99) )
| ( 5 != b(X97) )
| ( 2 != b(X98) )
| ~ $less(X98,X97) )
& ! [X100: $int,X101: $int,X102: $int,X103: $int] :
( ( X100 = X101 )
| ( X100 = X102 )
| ( X100 = X103 )
| ( X101 = X102 )
| ( X101 = X103 )
| ( X102 = X103 )
| ( 6 != a(X100) )
| ( 10 != a(X101) )
| ( 5 != a(X102) )
| ( 5 != b(X100) )
| ~ $less(b(X101),3)
| ( 2 != b(X103) )
| ~ $less(X101,X100) )
& ! [X104: $int,X105: $int,X106: $int] :
( ( X104 = X105 )
| ( X104 = X106 )
| ( X105 = X106 )
| ( 7 != a(X104) )
| ( 10 != a(X105) )
| ( 4 != a(X106) )
| ( 5 != b(X104) )
| ( 2 != b(X105) )
| ~ $less(X105,X104) )
& ! [X107: $int,X108: $int,X109: $int] :
( ( X107 = X108 )
| ( X107 = X109 )
| ( X108 = X109 )
| ( 2 != a(X107) )
| ( 10 != a(X108) )
| ( 8 != a(X109) )
| ( 2 != b(X108) )
| ~ $less(b(X109),4)
| ~ $less(X108,X107) )
& ! [X110: $int,X111: $int,X112: $int,X113: $int] :
( ( X110 = X111 )
| ( X110 = X112 )
| ( X110 = X113 )
| ( X111 = X112 )
| ( X111 = X113 )
| ( X112 = X113 )
| ( 3 != a(X110) )
| ( 10 != a(X111) )
| ( 7 != a(X112) )
| ~ $less(b(X110),4)
| ( 2 != b(X111) )
| ~ $less(b(X112),4)
| ( 5 != b(X113) )
| ~ $less(X111,X110) )
& ! [X114: $int,X115: $int,X116: $int] :
( ( X114 = X115 )
| ( X114 = X116 )
| ( X115 = X116 )
| ( 4 != a(X114) )
| ( 10 != a(X115) )
| ( 6 != a(X116) )
| ( 5 != b(X114) )
| ( 2 != b(X115) )
| ~ $less(X115,X114) )
& ! [X117: $int,X118: $int,X119: $int] :
( ( X117 = X118 )
| ( X117 = X119 )
| ( X118 = X119 )
| ( 5 != a(X117) )
| ( 10 != a(X118) )
| ( 5 != a(X119) )
| ( 5 != b(X117) )
| ( 2 != b(X118) )
| ~ $less(X118,X117) )
& ! [X120: $int,X121: $int,X122: $int] :
( ( X120 = X121 )
| ( X120 = X122 )
| ( X121 = X122 )
| ( 2 != a(X120) )
| ( 10 != a(X121) )
| ( 8 != a(X122) )
| ~ $less(b(X121),3)
| ( 2 != b(X122) )
| ~ $less(X121,X120) )
& ! [X123: $int,X124: $int,X125: $int,X126: $int] :
( ( X123 = X124 )
| ( X123 = X125 )
| ( X123 = X126 )
| ( X124 = X125 )
| ( X124 = X126 )
| ( X125 = X126 )
| ( 3 != a(X123) )
| ( 10 != a(X124) )
| ( 7 != a(X125) )
| ~ $less(b(X123),4)
| ~ $less(b(X124),3)
| ( 2 != b(X125) )
| ( 5 != b(X126) )
| ~ $less(X124,X123) )
& ! [X127: $int,X128: $int,X129: $int,X130: $int] :
( ( X127 = X128 )
| ( X127 = X129 )
| ( X127 = X130 )
| ( X128 = X129 )
| ( X128 = X130 )
| ( X129 = X130 )
| ( 5 != a(X127) )
| ( 10 != a(X128) )
| ( 5 != a(X129) )
| ( 5 != b(X127) )
| ~ $less(b(X128),3)
| ( 2 != b(X129) )
| ( 2 != b(X130) )
| ~ $less(X128,X127) )
& ! [X131: $int,X132: $int,X133: $int] :
( ( X131 = X132 )
| ( X131 = X133 )
| ( X132 = X133 )
| ( 6 != a(X131) )
| ( 10 != a(X132) )
| ( 4 != a(X133) )
| ( 5 != b(X131) )
| ( 2 != b(X132) )
| ~ $less(X132,X131) )
& ! [X134: $int,X135: $int,X136: $int] :
( ( X134 = X135 )
| ( X134 = X136 )
| ( X135 = X136 )
| ( 1 != a(X134) )
| ( 10 != a(X135) )
| ( 8 != a(X136) )
| ( 2 != b(X135) )
| ~ $less(b(X136),4)
| ~ $less(X135,X134) )
& ! [X137: $int,X138: $int,X139: $int] :
( ( X137 = X138 )
| ( X137 = X139 )
| ( X138 = X139 )
| ( 2 != a(X137) )
| ( 10 != a(X138) )
| ( 7 != a(X139) )
| ( 5 != b(X137) )
| ( 2 != b(X138) )
| ~ $less(b(X139),4)
| ~ $less(X138,X137) )
& ! [X140: $int,X141: $int,X142: $int,X143: $int] :
( ( X140 = X141 )
| ( X140 = X142 )
| ( X140 = X143 )
| ( X141 = X142 )
| ( X141 = X143 )
| ( X142 = X143 )
| ( 2 != a(X140) )
| ( 10 != a(X141) )
| ( 7 != a(X142) )
| ( 2 != b(X141) )
| ~ $less(b(X142),4)
| ( 5 != b(X143) )
| ~ $less(X141,X140) )
& ! [X144: $int,X145: $int,X146: $int] :
( ( X144 = X145 )
| ( X144 = X146 )
| ( X145 = X146 )
| ( 4 != a(X144) )
| ( 10 != a(X145) )
| ( 5 != a(X146) )
| ( 5 != b(X144) )
| ( 2 != b(X145) )
| ~ $less(X145,X144) )
& ! [X147: $int,X148: $int,X149: $int] :
( ( X147 = X148 )
| ( X147 = X149 )
| ( X148 = X149 )
| ( 5 != a(X147) )
| ( 10 != a(X148) )
| ( 4 != a(X149) )
| ( 5 != b(X147) )
| ( 2 != b(X148) )
| ~ $less(X148,X147) )
& ! [X150: $int,X151: $int,X152: $int] :
( ( X150 = X151 )
| ( X150 = X152 )
| ( X151 = X152 )
| ( 1 != a(X150) )
| ( 10 != a(X151) )
| ( 8 != a(X152) )
| ~ $less(b(X151),3)
| ( 2 != b(X152) )
| ~ $less(X151,X150) )
& ! [X153: $int,X154: $int,X155: $int] :
( ( X153 = X154 )
| ( X153 = X155 )
| ( X154 = X155 )
| ( 2 != a(X153) )
| ( 10 != a(X154) )
| ( 7 != a(X155) )
| ( 5 != b(X153) )
| ~ $less(b(X154),3)
| ( 2 != b(X155) )
| ~ $less(X154,X153) )
& ! [X156: $int,X157: $int,X158: $int,X159: $int] :
( ( X156 = X157 )
| ( X156 = X158 )
| ( X156 = X159 )
| ( X157 = X158 )
| ( X157 = X159 )
| ( X158 = X159 )
| ( 2 != a(X156) )
| ( 10 != a(X157) )
| ( 7 != a(X158) )
| ~ $less(b(X157),3)
| ( 2 != b(X158) )
| ( 5 != b(X159) )
| ~ $less(X157,X156) )
& ! [X160: $int,X161: $int,X162: $int] :
( ( X160 = X161 )
| ( X160 = X162 )
| ( X161 = X162 )
| ( 1 != a(X160) )
| ( 10 != a(X161) )
| ( 7 != a(X162) )
| ( 5 != b(X160) )
| ( 2 != b(X161) )
| ~ $less(b(X162),4)
| ~ $less(X161,X160) )
& ! [X163: $int,X164: $int,X165: $int,X166: $int] :
( ( X163 = X164 )
| ( X163 = X165 )
| ( X163 = X166 )
| ( X164 = X165 )
| ( X164 = X166 )
| ( X165 = X166 )
| ( 1 != a(X163) )
| ( 10 != a(X164) )
| ( 7 != a(X165) )
| ( 2 != b(X164) )
| ~ $less(b(X165),4)
| ( 5 != b(X166) )
| ~ $less(X164,X163) )
& ! [X167: $int,X168: $int,X169: $int] :
( ( X167 = X168 )
| ( X167 = X169 )
| ( X168 = X169 )
| ( 12 != a(X167) )
| ( 10 != a(X168) )
| ( 8 != a(X169) )
| ( 2 != b(X168) )
| ~ $less(b(X169),4)
| ~ $less(X168,X167) )
& ! [X170: $int,X171: $int,X172: $int] :
( ( X170 = X171 )
| ( X170 = X172 )
| ( X171 = X172 )
| ( 2 != a(X170) )
| ( 10 != a(X171) )
| ( 6 != a(X172) )
| ( 5 != b(X170) )
| ( 2 != b(X171) )
| ~ $less(X171,X170) )
& ! [X173: $int,X174: $int,X175: $int] :
( ( X173 = X174 )
| ( X173 = X175 )
| ( X174 = X175 )
| ( 4 != a(X173) )
| ( 10 != a(X174) )
| ( 4 != a(X175) )
| ( 5 != b(X173) )
| ( 2 != b(X174) )
| ~ $less(X174,X173) )
& ! [X176: $int,X177: $int,X178: $int] :
( ( X176 = X177 )
| ( X176 = X178 )
| ( X177 = X178 )
| ( 1 != a(X176) )
| ( 10 != a(X177) )
| ( 7 != a(X178) )
| ( 5 != b(X176) )
| ~ $less(b(X177),3)
| ( 2 != b(X178) )
| ~ $less(X177,X176) )
& ! [X179: $int,X180: $int,X181: $int,X182: $int] :
( ( X179 = X180 )
| ( X179 = X181 )
| ( X179 = X182 )
| ( X180 = X181 )
| ( X180 = X182 )
| ( X181 = X182 )
| ( 1 != a(X179) )
| ( 10 != a(X180) )
| ( 7 != a(X181) )
| ~ $less(b(X180),3)
| ( 2 != b(X181) )
| ( 5 != b(X182) )
| ~ $less(X180,X179) )
& ! [X183: $int,X184: $int,X185: $int] :
( ( X183 = X184 )
| ( X183 = X185 )
| ( X184 = X185 )
| ( 12 != a(X183) )
| ( 10 != a(X184) )
| ( 8 != a(X185) )
| ~ $less(b(X184),3)
| ( 2 != b(X185) )
| ~ $less(X184,X183) )
& ! [X186: $int,X187: $int,X188: $int] :
( ( X186 = X187 )
| ( X186 = X188 )
| ( X187 = X188 )
| ( 1 != a(X186) )
| ( 10 != a(X187) )
| ( 6 != a(X188) )
| ( 5 != b(X186) )
| ( 2 != b(X187) )
| ~ $less(X187,X186) )
& ! [X189: $int,X190: $int,X191: $int] :
( ( X189 = X190 )
| ( X189 = X191 )
| ( X190 = X191 )
| ( 12 != a(X189) )
| ( 10 != a(X190) )
| ( 7 != a(X191) )
| ( 5 != b(X189) )
| ( 2 != b(X190) )
| ~ $less(b(X191),4)
| ~ $less(X190,X189) )
& ! [X192: $int,X193: $int,X194: $int,X195: $int] :
( ( X192 = X193 )
| ( X192 = X194 )
| ( X192 = X195 )
| ( X193 = X194 )
| ( X193 = X195 )
| ( X194 = X195 )
| ( 12 != a(X192) )
| ( 10 != a(X193) )
| ( 7 != a(X194) )
| ( 2 != b(X193) )
| ~ $less(b(X194),4)
| ( 5 != b(X195) )
| ~ $less(X193,X192) )
& ! [X196: $int,X197: $int,X198: $int] :
( ( X196 = X197 )
| ( X196 = X198 )
| ( X197 = X198 )
| ( 2 != a(X196) )
| ( 10 != a(X197) )
| ( 5 != a(X198) )
| ( 5 != b(X196) )
| ( 2 != b(X197) )
| ~ $less(X197,X196) )
& ! [X199: $int,X200: $int,X201: $int] :
( ( X199 = X200 )
| ( X199 = X201 )
| ( X200 = X201 )
| ( 12 != a(X199) )
| ( 10 != a(X200) )
| ( 7 != a(X201) )
| ( 5 != b(X199) )
| ~ $less(b(X200),3)
| ( 2 != b(X201) )
| ~ $less(X200,X199) )
& ! [X202: $int,X203: $int,X204: $int,X205: $int] :
( ( X202 = X203 )
| ( X202 = X204 )
| ( X202 = X205 )
| ( X203 = X204 )
| ( X203 = X205 )
| ( X204 = X205 )
| ( 12 != a(X202) )
| ( 10 != a(X203) )
| ( 7 != a(X204) )
| ~ $less(b(X203),3)
| ( 2 != b(X204) )
| ( 5 != b(X205) )
| ~ $less(X203,X202) )
& ! [X206: $int,X207: $int,X208: $int] :
( ( X206 = X207 )
| ( X206 = X208 )
| ( X207 = X208 )
| ( 1 != a(X206) )
| ( 10 != a(X207) )
| ( 5 != a(X208) )
| ( 5 != b(X206) )
| ( 2 != b(X207) )
| ~ $less(X207,X206) )
& ! [X209: $int,X210: $int,X211: $int] :
( ( X209 = X210 )
| ( X209 = X211 )
| ( X210 = X211 )
| ( 12 != a(X209) )
| ( 10 != a(X210) )
| ( 6 != a(X211) )
| ( 5 != b(X209) )
| ( 2 != b(X210) )
| ~ $less(X210,X209) )
& ! [X212: $int,X213: $int,X214: $int] :
( ( X212 = X213 )
| ( X212 = X214 )
| ( X213 = X214 )
| ( 2 != a(X212) )
| ( 10 != a(X213) )
| ( 4 != a(X214) )
| ( 5 != b(X212) )
| ( 2 != b(X213) )
| ~ $less(X213,X212) )
& ! [X215: $int,X216: $int,X217: $int] :
( ( X215 = X216 )
| ( X215 = X217 )
| ( X216 = X217 )
| ( 1 != a(X215) )
| ( 10 != a(X216) )
| ( 4 != a(X217) )
| ( 5 != b(X215) )
| ( 2 != b(X216) )
| ~ $less(X216,X215) )
& ! [X218: $int,X219: $int,X220: $int] :
( ( X218 = X219 )
| ( X218 = X220 )
| ( X219 = X220 )
| ( 12 != a(X218) )
| ( 10 != a(X219) )
| ( 5 != a(X220) )
| ( 5 != b(X218) )
| ( 2 != b(X219) )
| ~ $less(X219,X218) )
& ! [X221: $int,X222: $int,X223: $int] :
( ( X221 = X222 )
| ( X221 = X223 )
| ( X222 = X223 )
| ( 12 != a(X221) )
| ( 10 != a(X222) )
| ( 4 != a(X223) )
| ( 5 != b(X221) )
| ( 2 != b(X222) )
| ~ $less(X222,X221) )
& ! [X224: $int,X225: $int,X226: $int,X227: $int] :
( ( X224 = X225 )
| ( X224 = X226 )
| ( X224 = X227 )
| ( X225 = X226 )
| ( X225 = X227 )
| ( X226 = X227 )
| ( 5 != a(X224) )
| ( 10 != a(X225) )
| ( 2 != a(X227) )
| ~ $less(b(X225),3)
| ( 5 != b(X226) )
| ~ $less(X225,X224) )
& ! [X228: $int,X229: $int,X230: $int,X231: $int] :
( ( X228 = X229 )
| ( X228 = X230 )
| ( X228 = X231 )
| ( X229 = X230 )
| ( X229 = X231 )
| ( X230 = X231 )
| ( 4 != a(X228) )
| ( 10 != a(X229) )
| ~ $less(b(X229),3)
| ( 5 != b(X230) )
| ( 2 != b(X231) )
| ~ $less(X229,X228) )
& ! [X232: $int,X233: $int,X234: $int,X235: $int] :
( ( X232 = X233 )
| ( X232 = X234 )
| ( X232 = X235 )
| ( X233 = X234 )
| ( X233 = X235 )
| ( X234 = X235 )
| ( 5 != a(X232) )
| ( 10 != a(X233) )
| ( 8 != a(X234) )
| ( 2 != a(X235) )
| ~ $less(b(X233),3)
| ~ $less(X233,X232) )
& ! [X236: $int,X237: $int,X238: $int,X239: $int] :
( ( X236 = X237 )
| ( X236 = X238 )
| ( X236 = X239 )
| ( X237 = X238 )
| ( X237 = X239 )
| ( X238 = X239 )
| ( 4 != a(X236) )
| ( 10 != a(X237) )
| ( 8 != a(X238) )
| ~ $less(b(X237),3)
| ( 2 != b(X239) )
| ~ $less(X237,X236) )
& ! [X240: $int,X241: $int,X242: $int,X243: $int] :
( ( X240 = X241 )
| ( X240 = X242 )
| ( X240 = X243 )
| ( X241 = X242 )
| ( X241 = X243 )
| ( X242 = X243 )
| ( 5 != a(X240) )
| ( 10 != a(X241) )
| ( 1 != a(X243) )
| ~ $less(b(X241),3)
| ( 5 != b(X242) )
| ~ $less(X241,X240) )
& ! [X244: $int,X245: $int,X246: $int,X247: $int] :
( ( X244 = X245 )
| ( X244 = X246 )
| ( X244 = X247 )
| ( X245 = X246 )
| ( X245 = X247 )
| ( X246 = X247 )
| ( 4 != a(X244) )
| ( 10 != a(X245) )
| ( 2 != 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 )
| ( 5 != a(X248) )
| ( 10 != a(X249) )
| ( 7 != a(X250) )
| ( 2 != a(X251) )
| ( 5 != b(X248) )
| ~ $less(b(X249),3)
| ~ $less(X249,X248) )
& ! [X252: $int,X253: $int,X254: $int,X255: $int] :
( ( X252 = X253 )
| ( X252 = X254 )
| ( X252 = X255 )
| ( X253 = X254 )
| ( X253 = X255 )
| ( X254 = X255 )
| ( 7 != a(X252) )
| ( 10 != a(X253) )
| ( 5 != 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) )
| ( 4 != a(X258) )
| ( 5 != b(X256) )
| ~ $less(b(X257),3)
| ( 2 != b(X259) )
| ~ $less(X257,X256) )
& ! [X260: $int,X261: $int,X262: $int,X263: $int] :
( ( X260 = X261 )
| ( X260 = X262 )
| ( X260 = X263 )
| ( X261 = X262 )
| ( X261 = X263 )
| ( X262 = X263 )
| ( 5 != a(X260) )
| ( 10 != a(X261) )
| ( 8 != a(X262) )
| ( 1 != a(X263) )
| ~ $less(b(X261),3)
| ~ $less(X261,X260) )
& ! [X264: $int,X265: $int,X266: $int,X267: $int] :
( ( X264 = X265 )
| ( X264 = X266 )
| ( X264 = X267 )
| ( X265 = X266 )
| ( X265 = X267 )
| ( X266 = X267 )
| ( 4 != a(X264) )
| ( 10 != a(X265) )
| ( 8 != a(X266) )
| ( 2 != 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 )
| ( 5 != a(X268) )
| ( 10 != a(X269) )
| ( 7 != a(X270) )
| ( 2 != a(X271) )
| ~ $less(b(X269),3)
| ( 5 != b(X271) )
| ~ $less(X269,X268) )
& ! [X272: $int,X273: $int,X274: $int,X275: $int] :
( ( X272 = X273 )
| ( X272 = X274 )
| ( X272 = X275 )
| ( X273 = X274 )
| ( X273 = X275 )
| ( X274 = X275 )
| ( 3 != a(X272) )
| ( 10 != a(X273) )
| ( 8 != a(X274) )
| ~ $less(b(X272),4)
| ~ $less(b(X273),3)
| ~ $less(b(X274),4)
| ( 2 != 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 )
| ( 4 != a(X276) )
| ( 10 != a(X277) )
| ( 7 != a(X278) )
| ( 5 != b(X276) )
| ~ $less(b(X277),3)
| ( 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) )
| ( 1 != a(X283) )
| ~ $less(b(X281),3)
| ( 5 != b(X282) )
| ~ $less(X281,X280) )
& ! [X284: $int,X285: $int,X286: $int,X287: $int] :
( ( X284 = X285 )
| ( X284 = X286 )
| ( X284 = X287 )
| ( X285 = X286 )
| ( X285 = X287 )
| ( X286 = X287 )
| ( 5 != a(X284) )
| ( 10 != a(X285) )
| ( 12 != a(X287) )
| ~ $less(b(X285),3)
| ( 5 != b(X286) )
| ~ $less(X285,X284) ) ),
inference(flattening,[],[f18]) ).
tff(f34,plain,
! [X230: $int,X231: $int,X228: $int,X229: $int] :
( ~ $less(b(X229),3)
| ( X228 = X230 )
| ( X228 = X231 )
| ( X229 = X230 )
| ( X229 = X231 )
| ( X230 = X231 )
| ( 4 != a(X228) )
| ( 10 != a(X229) )
| ( X228 = X229 )
| ( 5 != b(X230) )
| ( 2 != b(X231) )
| ~ $less(X229,X228) ),
inference(cnf_transformation,[],[f19]) ).
tff(f108,plain,
z3 != z4,
inference(cnf_transformation,[],[f19]) ).
tff(f110,plain,
z2 != z4,
inference(cnf_transformation,[],[f19]) ).
tff(f111,plain,
z2 != z3,
inference(cnf_transformation,[],[f19]) ).
tff(f113,plain,
z1 != z4,
inference(cnf_transformation,[],[f19]) ).
tff(f114,plain,
z1 != z3,
inference(cnf_transformation,[],[f19]) ).
tff(f115,plain,
z1 != z2,
inference(cnf_transformation,[],[f19]) ).
tff(f120,plain,
$less(z2,z1),
inference(cnf_transformation,[],[f19]) ).
tff(f121,plain,
5 = b(z4),
inference(cnf_transformation,[],[f19]) ).
tff(f122,plain,
2 = b(z3),
inference(cnf_transformation,[],[f19]) ).
tff(f123,plain,
$less(b(z2),3),
inference(cnf_transformation,[],[f19]) ).
tff(f125,plain,
10 = a(z2),
inference(cnf_transformation,[],[f19]) ).
tff(f126,plain,
4 = a(z1),
inference(cnf_transformation,[],[f19]) ).
tff(f156,definition,
( spl0_3
<=> ( 10 = a(z2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f158,plain,
( ( 10 != a(z2) )
| spl0_3 ),
inference(avatar_component_clause,[],[f156]) ).
tff(f164,plain,
( ( 10 != 10 )
| spl0_3 ),
inference(superposition,[],[f158,f125]) ).
tff(f165,plain,
( $false
| spl0_3 ),
inference(trivial_inequality_removal,[],[f164]) ).
tff(f166,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f165]) ).
tff(f187,definition,
( spl0_6
<=> $less(z2,z1) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
tff(f189,plain,
( ~ $less(z2,z1)
| spl0_6 ),
inference(avatar_component_clause,[],[f187]) ).
tff(f195,definition,
( spl0_8
<=> ( z1 = z2 ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
tff(f197,plain,
( ( z1 = z2 )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f195]) ).
tff(f202,plain,
( $false
| spl0_6 ),
inference(resolution,[],[f189,f120]) ).
tff(f203,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f202]) ).
tff(f249,definition,
( spl0_13
<=> ( z2 = z4 ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
tff(f251,plain,
( ( z2 = z4 )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f249]) ).
tff(f258,plain,
( ( z2 != z2 )
| ~ spl0_13 ),
inference(superposition,[],[f110,f251]) ).
tff(f260,plain,
( $false
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f258]) ).
tff(f261,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f260]) ).
tff(f283,definition,
( spl0_17
<=> ( z3 = z4 ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
tff(f285,plain,
( ( z3 = z4 )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f283]) ).
tff(f287,definition,
( spl0_18
<=> ( z2 = z3 ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
tff(f289,plain,
( ( z2 = z3 )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f287]) ).
tff(f547,plain,
( ( z2 != z2 )
| ~ spl0_18 ),
inference(superposition,[],[f111,f289]) ).
tff(f554,plain,
( $false
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f547]) ).
tff(f555,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f554]) ).
tff(f787,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( X0 = X1 )
| ( X0 = X2 )
| ( z2 = X1 )
| ( z2 = X2 )
| ( X1 = X2 )
| ( a(X0) != 4 )
| ( 10 != a(z2) )
| ( z2 = X0 )
| ( 5 != b(X1) )
| ( b(X2) != 2 )
| ~ $less(z2,X0) ),
inference(resolution,[],[f34,f123]) ).
tff(f792,definition,
( spl0_64
<=> ! [X2: $int,X0: $int,X1: $int] :
( ( X0 = X1 )
| ~ $less(z2,X0)
| ( b(X2) != 2 )
| ( 5 != b(X1) )
| ( z2 = X0 )
| ( a(X0) != 4 )
| ( X1 = X2 )
| ( z2 = X2 )
| ( z2 = X1 )
| ( X0 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
tff(f793,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( 5 != b(X1) )
| ~ $less(z2,X0)
| ( b(X2) != 2 )
| ( X0 = X1 )
| ( z2 = X0 )
| ( a(X0) != 4 )
| ( X1 = X2 )
| ( z2 = X2 )
| ( z2 = X1 )
| ( X0 = X2 ) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f792]) ).
tff(f794,plain,
( ~ spl0_3
| spl0_64 ),
inference(avatar_split_clause,[],[f787,f792,f156]) ).
tff(f795,plain,
( ! [X0: $int,X1: $int] :
( ( 5 != 5 )
| ~ $less(z2,X0)
| ( b(X1) != 2 )
| ( z4 = X0 )
| ( z2 = X0 )
| ( a(X0) != 4 )
| ( z4 = X1 )
| ( z2 = X1 )
| ( z2 = z4 )
| ( X0 = X1 ) )
| ~ spl0_64 ),
inference(superposition,[],[f793,f121]) ).
tff(f797,plain,
( ! [X0: $int,X1: $int] :
( ~ $less(z2,X0)
| ( b(X1) != 2 )
| ( z4 = X0 )
| ( z2 = X0 )
| ( a(X0) != 4 )
| ( z4 = X1 )
| ( z2 = X1 )
| ( z2 = z4 )
| ( X0 = X1 ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f795]) ).
tff(f799,definition,
( spl0_65
<=> ! [X0: $int,X1: $int] :
( ~ $less(z2,X0)
| ( X0 = X1 )
| ( a(X0) != 4 )
| ( z2 = X0 )
| ( z4 = X0 )
| ( b(X1) != 2 )
| ( z2 = X1 )
| ( z4 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
tff(f800,plain,
( ! [X0: $int,X1: $int] :
( ( b(X1) != 2 )
| ( X0 = X1 )
| ( a(X0) != 4 )
| ( z2 = X0 )
| ( z4 = X0 )
| ~ $less(z2,X0)
| ( z2 = X1 )
| ( z4 = X1 ) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f799]) ).
tff(f801,plain,
( spl0_13
| spl0_65
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f797,f792,f799,f249]) ).
tff(f802,plain,
( ! [X0: $int] :
( ( 2 != 2 )
| ( z3 = X0 )
| ( a(X0) != 4 )
| ( z2 = X0 )
| ( z4 = X0 )
| ~ $less(z2,X0)
| ( z2 = z3 )
| ( z3 = z4 ) )
| ~ spl0_65 ),
inference(superposition,[],[f800,f122]) ).
tff(f803,plain,
( ! [X0: $int] :
( ( z3 = X0 )
| ( a(X0) != 4 )
| ( z2 = X0 )
| ( z4 = X0 )
| ~ $less(z2,X0)
| ( z2 = z3 )
| ( z3 = z4 ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f802]) ).
tff(f805,definition,
( spl0_66
<=> ! [X0: $int] :
( ( z3 = X0 )
| ~ $less(z2,X0)
| ( z4 = X0 )
| ( z2 = X0 )
| ( a(X0) != 4 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
tff(f806,plain,
( ! [X0: $int] :
( ( a(X0) != 4 )
| ~ $less(z2,X0)
| ( z4 = X0 )
| ( z2 = X0 )
| ( z3 = X0 ) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f805]) ).
tff(f807,plain,
( spl0_17
| spl0_18
| spl0_66
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f803,f799,f805,f287,f283]) ).
tff(f808,plain,
( ( z3 != z3 )
| ~ spl0_17 ),
inference(superposition,[],[f108,f285]) ).
tff(f814,plain,
( $false
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f808]) ).
tff(f815,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f814]) ).
tff(f824,plain,
( ( 4 != 4 )
| ~ $less(z2,z1)
| ( z1 = z4 )
| ( z1 = z2 )
| ( z1 = z3 )
| ~ spl0_66 ),
inference(superposition,[],[f806,f126]) ).
tff(f825,plain,
( ~ $less(z2,z1)
| ( z1 = z4 )
| ( z1 = z2 )
| ( z1 = z3 )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f824]) ).
tff(f827,definition,
( spl0_68
<=> ( z1 = z3 ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
tff(f829,plain,
( ( z1 = z3 )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f827]) ).
tff(f831,definition,
( spl0_69
<=> ( z1 = z4 ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
tff(f833,plain,
( ( z1 = z4 )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f831]) ).
tff(f834,plain,
( spl0_68
| spl0_8
| spl0_69
| ~ spl0_6
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f825,f805,f187,f831,f195,f827]) ).
tff(f835,plain,
( ( z1 != z1 )
| ~ spl0_8 ),
inference(superposition,[],[f115,f197]) ).
tff(f842,plain,
( $false
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f835]) ).
tff(f843,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f842]) ).
tff(f845,plain,
( ( z1 != z1 )
| ~ spl0_68 ),
inference(superposition,[],[f114,f829]) ).
tff(f853,plain,
( $false
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f845]) ).
tff(f854,plain,
~ spl0_68,
inference(avatar_contradiction_clause,[],[f853]) ).
tff(f858,plain,
( ( z1 != z1 )
| ~ spl0_69 ),
inference(superposition,[],[f113,f833]) ).
tff(f862,plain,
( $false
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f858]) ).
tff(f863,plain,
~ spl0_69,
inference(avatar_contradiction_clause,[],[f862]) ).
cnf(s3,plain,
spl0_3,
inference(sat_conversion,[],[f166]) ).
cnf(s6,plain,
spl0_6,
inference(sat_conversion,[],[f203]) ).
cnf(s11,plain,
~ spl0_13,
inference(sat_conversion,[],[f261]) ).
cnf(s30,plain,
~ spl0_18,
inference(sat_conversion,[],[f555]) ).
cnf(s57,plain,
( ~ spl0_3
| spl0_64 ),
inference(sat_conversion,[],[f794]) ).
cnf(s58,plain,
( spl0_13
| ~ spl0_64
| spl0_65 ),
inference(sat_conversion,[],[f801]) ).
cnf(s59,plain,
( spl0_17
| spl0_18
| ~ spl0_65
| spl0_66 ),
inference(sat_conversion,[],[f807]) ).
cnf(s60,plain,
~ spl0_17,
inference(sat_conversion,[],[f815]) ).
cnf(s62,plain,
( ~ spl0_6
| spl0_8
| ~ spl0_66
| spl0_68
| spl0_69 ),
inference(sat_conversion,[],[f834]) ).
cnf(s63,plain,
~ spl0_8,
inference(sat_conversion,[],[f843]) ).
cnf(s64,plain,
~ spl0_68,
inference(sat_conversion,[],[f854]) ).
cnf(s66,plain,
~ spl0_69,
inference(sat_conversion,[],[f863]) ).
cnf(s69,plain,
( ~ spl0_6
| ~ spl0_66 ),
inference(rat,[],[s62,s66,s64,s63]) ).
cnf(s70,plain,
( spl0_18
| ~ spl0_65
| spl0_66 ),
inference(rat,[],[s59,s60]) ).
cnf(s75,plain,
~ spl0_66,
inference(rat,[],[s69,s6]) ).
cnf(s76,plain,
~ spl0_65,
inference(rat,[],[s70,s30,s75]) ).
cnf(s77,plain,
~ spl0_64,
inference(rat,[],[s58,s11,s76]) ).
cnf(s78,plain,
~ spl0_3,
inference(rat,[],[s57,s77]) ).
cnf(s80,plain,
$false,
inference(rat,[],[s3,s78]) ).
tff(f866,plain,
$false,
inference(avatar_sat_refutation,[],[s80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW005_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n009.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 13:08:15 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.20/0.29 % (3014805)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (3014816)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3094825693:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % (3014811)% WARNING: option uhcvi not known.
% 0.20/0.29 % (3014812)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1231958036:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (3014810)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3427581215_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % (3014811)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3204235021:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (3014813)dis+10_1_sil=32000:sp=arity:random_seed=11281271:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (3014814)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1295364448:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (3014815)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1384313219:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (3014810)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.29 % (3014810)Terminated due to inappropriate strategy.
% 0.20/0.29 % (3014810)------------------------------
% 0.20/0.29 % (3014810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (3014810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (3014810)CaDiCaL version: 2.1.3
% 0.20/0.29 % (3014810)Termination reason: Inappropriate
% 0.20/0.29 % (3014810)Time elapsed: 0.005 s
% 0.20/0.29 % (3014810)Peak memory usage: 10 MB
% 0.20/0.29 % (3014810)Instructions burned: 12 (million)
% 0.20/0.29 % (3014810)------------------------------
% 0.20/0.29 % (3014810)------------------------------
% 0.20/0.29 % (3014816) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3014805-3014816"...
% 0.20/0.29 % (3014816)...printing done.
% 0.20/0.29 % (3014816)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29 % (3014816)------------------------------
% 0.20/0.29 % (3014816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (3014816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (3014816)CaDiCaL version: 2.1.3
% 0.20/0.29 % (3014816)Termination reason: Refutation
% 0.20/0.29 % (3014816)Time elapsed: 0.027 s
% 0.20/0.29 % (3014816)Peak memory usage: 14 MB
% 0.20/0.29 % (3014816)Instructions burned: 102 (million)
% 0.20/0.29 % (3014805)Success in time 0.06 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------