%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW002_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:27:56 PM UTC 2026
% Result : Theorem 1.43s 1.01s
% Output : Refutation 2.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 1
% Syntax : Number of formulae : 37 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 6417 (5302 equ)
% Maximal formula atoms : 787 ( 173 avg)
% Number of connectives : 9801 (3421 ~;2160 |;4215 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 113 ( 28 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 6456 (1110 atm; 0 fun;3306 num;2040 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 20 ( 9 usr; 18 con; 0-1 aty)
% Number of variables : 2040 (2040 !; 0 ?;2040 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
z1: $int ).
tff(func_def_1,type,
z2: $int ).
tff(func_def_2,type,
z3: $int ).
tff(func_def_3,type,
z4: $int ).
tff(func_def_4,type,
z5: $int ).
tff(func_def_5,type,
a: $int > $int ).
tff(func_def_6,type,
b: $int > $int ).
tff(func_def_21,type,
'$inst0': $int ).
tff(func_def_22,type,
'$inst1': $int ).
tff(f1,conjecture,
( ( ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( a(X3) = 2 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X2 != X3 ) )
& ( z2 != z3 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 6 )
& ( X0 != X1 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 ) )
& ! [X0: $int] :
( $lesseq(a(X0),12)
& $lesseq(1,a(X0)) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X3 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( b(X3) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( a(X2) = 7 )
& ( a(X0) = 4 )
& ( X0 != X3 )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 6 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X2) = 5 ) )
& ( z2 != z4 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 7 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 6 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 7 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X1) = 2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 6 )
& ( X0 != X2 )
& ( a(X0) = 2 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ( z1 != z4 )
& ( z2 != z5 )
& ! [X1: $int,X2: $int,X3: $int,X0: $int] :
~ ( ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X2 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X3 )
& ( b(X2) = 5 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X2 != X3 )
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X0 != X3 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( a(X0) = 7 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& ( X0 != X2 )
& ( X1 != X3 )
& ( b(X0) = 5 )
& ( b(X3) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( a(X2) = 5 )
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( X2 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X3 )
& $less(b(X0),4)
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X1 != X3 )
& ( b(X3) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X0) = 3 )
& $less(b(X1),3) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( a(X3) = 2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( b(X2) = 5 )
& ( X0 != X1 ) )
& ! [X0: $int] :
( $lesseq(1,b(X0))
& $lesseq(b(X0),5) )
& ( z4 != z5 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 6 )
& ( a(X0) = 12 ) )
& $true
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& ( b(X2) = 5 )
& ( b(X3) = 2 )
& ( X0 != X3 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X2) = 5 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( X0 != X3 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& ( b(X3) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X0) = 5 ) )
& ( z1 != z3 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( a(X2) = 8 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( a(X1) = 10 )
& ( b(X3) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( b(X1) = 2 )
& ( X1 != X3 )
& ( a(X2) = 7 )
& ( a(X0) = 2 )
& ( X0 != X2 )
& $less(b(X2),4) )
& ( z1 != z2 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 1 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( a(X2) = 8 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& ( a(X0) = 1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 6 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X2) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X2) = 4 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 ) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 9 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X0) = 6 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X2),4)
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 1 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( a(X2) = 5 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( X1 != X3 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( X0 != X2 )
& ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X2),4)
& $less(X1,X0) )
& ( z3 != z4 )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& ( a(X0) = 4 )
& ( a(X2) = 7 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 6 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X0),4)
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X2) = 8 )
& ( a(X0) = 3 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 5 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 5 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X0) = 12 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X3: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X2 != X3 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X3 )
& ( b(X2) = 2 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X2 )
& ( b(X3) = 5 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X0) = 4 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 10 )
& ( X0 != X1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( b(X3) = 5 )
& ( X0 != X3 )
& $less(b(X2),4)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( X2 != X3 )
& ( a(X0) = 12 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 5 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X2) = 8 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X0),4)
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X0) = 3 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X3 )
& ( a(X0) = 3 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( b(X3) = 5 )
& ( X2 != X3 )
& ( X1 != X2 )
& $less(b(X2),4)
& $less(b(X0),4)
& ( b(X1) = 2 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0)
& ( a(X2) = 8 )
& ( a(X0) = 12 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( a(X3) = 2 )
& ( a(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( X0 != X1 ) )
& ( z1 != z5 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 4 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( a(X0) = 12 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( b(X2) = 2 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( a(X2) = 6 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X0 != X3 )
& ( a(X2) = 7 )
& ( a(X0) = 1 )
& ( X0 != X1 )
& ( b(X3) = 5 )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(b(X2),4)
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 1 )
& ( a(X2) = 7 )
& ( b(X1) = 2 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X3 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X3) = 1 )
& ( b(X2) = 5 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X2 != X3 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X2) = 8 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 8 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X0 != X1 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( a(X2) = 6 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& $less(b(X1),3)
& ( X0 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X2) = 4 )
& ( a(X0) = 1 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( a(X2) = 7 )
& ( b(X1) = 2 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& $less(b(X2),4)
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X3) = 5 )
& ( X0 != X1 )
& ( X0 != X3 )
& $less(X1,X0)
& ( a(X0) = 1 )
& ( X2 != X3 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& ( b(X3) = 2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X2) = 8 ) )
& ( z3 != z5 ) )
=> ~ ( ( b(z4) = 2 )
& $less(b(z2),3)
& ( a(z1) = 4 )
& ( a(z4) = 7 )
& ( b(z3) = 5 )
& ( a(z2) = 10 )
& $less(z2,z1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( a(X3) = 2 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X2 != X3 ) )
& ( z2 != z3 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 6 )
& ( X0 != X1 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 ) )
& ! [X0: $int] :
( $lesseq(a(X0),12)
& $lesseq(1,a(X0)) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X3 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( b(X3) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( a(X2) = 7 )
& ( a(X0) = 4 )
& ( X0 != X3 )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 6 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X2) = 5 ) )
& ( z2 != z4 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 7 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 6 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 7 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X1) = 2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 6 )
& ( X0 != X2 )
& ( a(X0) = 2 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ( z1 != z4 )
& ( z2 != z5 )
& ! [X1: $int,X2: $int,X3: $int,X0: $int] :
~ ( ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X2 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X3 )
& ( b(X2) = 5 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X2 != X3 )
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X0 != X3 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( a(X0) = 7 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& ( X0 != X2 )
& ( X1 != X3 )
& ( b(X0) = 5 )
& ( b(X3) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( a(X2) = 5 )
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( X2 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X3 )
& $less(b(X0),4)
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X1 != X3 )
& ( b(X3) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X0) = 3 )
& $less(b(X1),3) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( a(X3) = 2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( b(X2) = 5 )
& ( X0 != X1 ) )
& ! [X0: $int] :
( $lesseq(1,b(X0))
& $lesseq(b(X0),5) )
& ( z4 != z5 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 6 )
& ( a(X0) = 12 ) )
& $true
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& ( b(X2) = 5 )
& ( b(X3) = 2 )
& ( X0 != X3 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X2) = 5 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( X0 != X3 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& ( b(X3) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X0) = 5 ) )
& ( z1 != z3 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( a(X2) = 8 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( a(X1) = 10 )
& ( b(X3) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( b(X1) = 2 )
& ( X1 != X3 )
& ( a(X2) = 7 )
& ( a(X0) = 2 )
& ( X0 != X2 )
& $less(b(X2),4) )
& ( z1 != z2 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 1 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( a(X2) = 8 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& ( a(X0) = 1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 6 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X2) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X2) = 4 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 ) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 9 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X0) = 6 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X2),4)
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 1 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( a(X2) = 5 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( X1 != X3 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( X0 != X2 )
& ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X2),4)
& $less(X1,X0) )
& ( z3 != z4 )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& ( a(X0) = 4 )
& ( a(X2) = 7 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 6 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X0),4)
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X2) = 8 )
& ( a(X0) = 3 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 5 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 5 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X0) = 12 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X3: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X2 != X3 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X3 )
& ( b(X2) = 2 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X2 )
& ( b(X3) = 5 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X0) = 4 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 10 )
& ( X0 != X1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( b(X3) = 5 )
& ( X0 != X3 )
& $less(b(X2),4)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( X2 != X3 )
& ( a(X0) = 12 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 5 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X2) = 8 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X0),4)
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X0) = 3 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X3 )
& ( a(X0) = 3 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( b(X3) = 5 )
& ( X2 != X3 )
& ( X1 != X2 )
& $less(b(X2),4)
& $less(b(X0),4)
& ( b(X1) = 2 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0)
& ( a(X2) = 8 )
& ( a(X0) = 12 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( a(X3) = 2 )
& ( a(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( X0 != X1 ) )
& ( z1 != z5 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 4 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( a(X0) = 12 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( b(X2) = 2 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( a(X2) = 6 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X0 != X3 )
& ( a(X2) = 7 )
& ( a(X0) = 1 )
& ( X0 != X1 )
& ( b(X3) = 5 )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(b(X2),4)
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 1 )
& ( a(X2) = 7 )
& ( b(X1) = 2 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X3 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X3) = 1 )
& ( b(X2) = 5 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X2 != X3 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X2) = 8 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 8 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X0 != X1 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( a(X2) = 6 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& $less(b(X1),3)
& ( X0 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X2) = 4 )
& ( a(X0) = 1 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( a(X2) = 7 )
& ( b(X1) = 2 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& $less(b(X2),4)
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X3) = 5 )
& ( X0 != X1 )
& ( X0 != X3 )
& $less(X1,X0)
& ( a(X0) = 1 )
& ( X2 != X3 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& ( b(X3) = 2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X2) = 8 ) )
& ( z3 != z5 ) )
=> ~ ( ( b(z4) = 2 )
& $less(b(z2),3)
& ( a(z1) = 4 )
& ( a(z4) = 7 )
& ( b(z3) = 5 )
& ( a(z2) = 10 )
& $less(z2,z1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( a(X3) = 2 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( X2 != X3 ) )
& ( z2 != z3 )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 6 )
& ( X0 != X1 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 ) )
& ! [X0: $int] :
( ~ $less(12,a(X0))
& ~ $less(a(X0),1) )
& ! [X3: $int,X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X3 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( b(X3) = 5 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X2) = 2 )
& ( a(X2) = 7 )
& ( a(X0) = 4 )
& ( X0 != X3 )
& ( X0 != X2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 6 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X2) = 5 ) )
& ( z2 != z4 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( b(X1) = 2 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( a(X2) = 7 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 5 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X0) = 6 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( a(X0) = 7 )
& ( a(X2) = 4 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X1 != X2 )
& ( b(X1) = 2 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X2) = 6 )
& ( X0 != X2 )
& ( a(X0) = 2 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ( z1 != z4 )
& ( z2 != z5 )
& ! [X1: $int,X2: $int,X3: $int,X0: $int] :
~ ( ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X0) = 4 )
& ( X1 != X2 )
& ( X0 != X3 )
& ( X2 != X3 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X3 )
& ( b(X2) = 5 ) )
& ! [X3: $int,X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( X1 != X3 )
& ( X2 != X3 )
& ( b(X2) = 2 )
& ( b(X3) = 5 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( X0 != X3 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 5 )
& ( X0 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( a(X0) = 7 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( a(X0) = 7 )
& ( X0 != X2 )
& ( X1 != X3 )
& ( b(X0) = 5 )
& ( b(X3) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( a(X2) = 5 )
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( X2 != X3 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X3 )
& $less(b(X0),4)
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X1 != X3 )
& ( b(X3) = 5 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( a(X0) = 3 )
& $less(b(X1),3) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( X0 != X3 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( a(X3) = 2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X0) = 4 )
& ( b(X2) = 5 )
& ( X0 != X1 ) )
& ! [X0: $int] :
( ~ $less(b(X0),1)
& ~ $less(5,b(X0)) )
& ( z4 != z5 )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X2) = 6 )
& ( a(X0) = 12 ) )
& $true
& ! [X1: $int,X2: $int,X0: $int,X3: $int] :
~ ( ( X1 != X2 )
& $less(X1,X0)
& ( b(X2) = 5 )
& ( b(X3) = 2 )
& ( X0 != X3 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X2) = 5 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X0) = 1 )
& $less(X1,X0)
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( X0 != X3 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& ( b(X3) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( X0 != X1 )
& ( a(X0) = 5 ) )
& ( z1 != z3 )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& $less(X1,X0)
& ( a(X2) = 8 ) )
& ! [X0: $int,X1: $int,X2: $int,X3: $int] :
~ ( ( a(X1) = 10 )
& ( b(X3) = 5 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X2 != X3 )
& ( X0 != X3 )
& ( b(X1) = 2 )
& ( X1 != X3 )
& ( a(X2) = 7 )
& ( a(X0) = 2 )
& ( X0 != X2 )
& $less(b(X2),4) )
& ( z1 != z2 )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 1 )
& $less(b(X1),3)
& $less(X1,X0)
& ( X0 != X1 )
& ( b(X2) = 2 )
& ( a(X2) = 8 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& ( a(X0) = 1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X1) = 10 )
& ( a(X2) = 6 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X2) = 5 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( b(X0) = 5 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X2) = 4 )
& ( a(X0) = 6 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( b(X0) = 5 ) )
& ! [X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& $less(X1,X0)
& ( a(X0) = 9 )
& ( a(X1) = 10 )
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X1),3)
& ( a(X0) = 6 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X2) = 8 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X2),4)
& ( X0 != X2 )
& ( a(X1) = 10 )
& ( a(X0) = 2 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 8 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( a(X0) = 1 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& ( X0 != X2 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X1) = 10 )
& ( X0 != X1 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( b(X0) = 5 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& ( a(X0) = 5 )
& ( a(X2) = 5 )
& $less(b(X1),3)
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( X1 != X3 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( b(X0) = 5 )
& ( a(X2) = 7 )
& ( X1 != X2 )
& $less(b(X1),3)
& ( X2 != X3 )
& ( X0 != X2 )
& ( b(X3) = 2 )
& ( a(X1) = 10 )
& ( X0 != X3 )
& $less(X1,X0) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( X0 != X2 )
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( a(X0) = 2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 12 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X2) = 7 )
& ( b(X0) = 5 )
& ( X1 != X2 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X0) = 2 )
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 7 )
& $less(b(X2),4)
& $less(X1,X0) )
& ( z3 != z4 )
& ! [X1: $int,X3: $int,X2: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X3 )
& ( X0 != X3 )
& ( a(X2) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( a(X0) = 6 )
& $less(b(X1),3)
& $less(X1,X0) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( b(X2) = 2 )
& ( b(X0) = 5 )
& ( a(X0) = 4 )
& ( a(X2) = 7 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X2) = 6 )
& ( a(X0) = 5 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( $less(b(X0),4)
& ( X0 != X2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& $less(b(X2),4)
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X2) = 8 )
& ( a(X0) = 3 )
& ( X1 != X2 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X0 != X1 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X0) = 2 )
& ( b(X0) = 5 )
& $less(X1,X0)
& ( a(X2) = 5 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X2 )
& ( a(X2) = 5 )
& ( X0 != X1 )
& ( b(X1) = 2 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 5 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X0) = 12 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X3: $int,X2: $int,X1: $int] :
~ ( ( X1 != X2 )
& ( X2 != X3 )
& ( a(X0) = 12 )
& ( X0 != X1 )
& $less(X1,X0)
& ( X0 != X3 )
& ( b(X2) = 2 )
& ( a(X2) = 7 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X0 != X2 )
& ( b(X3) = 5 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 6 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X0) = 4 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( b(X0) = 5 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& ( b(X1) = 2 )
& ( a(X0) = 12 )
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 10 )
& ( X0 != X1 ) )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& ( a(X0) = 12 )
& ( X0 != X2 )
& ( b(X2) = 2 )
& ( X0 != X1 )
& $less(X1,X0)
& $less(b(X1),3) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( b(X3) = 5 )
& ( X0 != X3 )
& $less(b(X2),4)
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( X1 != X3 )
& ( X0 != X2 )
& $less(X1,X0)
& ( a(X2) = 7 )
& ( X2 != X3 )
& ( a(X0) = 12 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X2 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( a(X0) = 4 )
& ( b(X0) = 5 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( a(X2) = 5 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X2) = 8 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X0),4)
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X2) = 2 )
& $less(b(X1),3)
& ( a(X0) = 3 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X3: $int,X2: $int] :
~ ( ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X3 )
& ( a(X0) = 3 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( X0 != X1 )
& ( b(X3) = 5 )
& ( X2 != X3 )
& ( X1 != X2 )
& $less(b(X2),4)
& $less(b(X0),4)
& ( b(X1) = 2 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& ( a(X0) = 5 )
& ( a(X2) = 8 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X2: $int] :
~ ( ( b(X1) = 2 )
& ( X0 != X2 )
& ( a(X0) = 4 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( a(X2) = 8 )
& ( X1 != X2 )
& $less(X1,X0) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& $less(b(X1),3)
& $less(X1,X0)
& ( b(X2) = 2 )
& ( X0 != X2 )
& ( a(X2) = 6 )
& ( X0 != X1 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( a(X0) = 1 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( X0 != X1 )
& $less(X1,X0) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( a(X1) = 10 )
& ( X0 != X1 )
& ( X1 != X2 )
& ( b(X1) = 2 )
& $less(b(X2),4)
& $less(X1,X0)
& ( a(X2) = 8 )
& ( a(X0) = 12 )
& ( X0 != X2 ) )
& ! [X1: $int,X0: $int,X3: $int,X2: $int] :
~ ( ( X1 != X3 )
& $less(X1,X0)
& ( X0 != X2 )
& ( X0 != X1 )
& ( X2 != X3 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X1) = 10 )
& ( b(X2) = 5 )
& ( a(X3) = 2 )
& ( a(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(X1,X0)
& ( X0 != X2 )
& ( a(X0) = 2 )
& ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( b(X0) = 5 )
& ( a(X2) = 4 )
& ( X0 != X1 ) )
& ( z1 != z5 )
& ! [X2: $int,X1: $int,X0: $int] :
~ ( ( a(X1) = 10 )
& ( b(X1) = 2 )
& ( X1 != X2 )
& ( a(X0) = 4 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(X1,X0)
& ( b(X0) = 5 )
& ( a(X2) = 4 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 5 )
& ( X1 != X2 )
& ( a(X2) = 4 )
& $less(X1,X0)
& ( b(X1) = 2 )
& ( X0 != X1 )
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( b(X0) = 5 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( b(X2) = 2 )
& $less(X1,X0)
& ( X1 != X2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( a(X1) = 10 )
& ( X0 != X2 )
& ( a(X2) = 7 )
& ( a(X0) = 12 ) )
& ! [X1: $int,X2: $int,X0: $int] :
~ ( ( X1 != X2 )
& $less(b(X1),3)
& ( a(X0) = 5 )
& $less(X1,X0)
& ( X0 != X1 )
& ( a(X2) = 7 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( b(X2) = 2 )
& ( a(X1) = 10 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( ( b(X0) = 5 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( a(X2) = 6 )
& ( X0 != X2 )
& ( X0 != X1 )
& $less(b(X1),3) )
& ! [X2: $int,X1: $int,X3: $int,X0: $int] :
~ ( ( b(X2) = 2 )
& $less(b(X1),3)
& ( X1 != X3 )
& ( X1 != X2 )
& ( a(X1) = 10 )
& ( X2 != X3 )
& $less(X1,X0)
& ( X0 != X3 )
& ( a(X2) = 7 )
& ( a(X0) = 1 )
& ( X0 != X1 )
& ( b(X3) = 5 )
& ( X0 != X2 ) )
& ! [X2: $int,X0: $int,X1: $int] :
~ ( $less(b(X2),4)
& ( X1 != X2 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 1 )
& ( a(X2) = 7 )
& ( b(X1) = 2 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( X1 != X3 )
& $less(b(X1),3)
& ( X1 != X2 )
& ( X0 != X3 )
& ( a(X3) = 1 )
& ( b(X2) = 5 )
& ( a(X0) = 5 )
& ( X0 != X1 )
& ( X0 != X2 )
& $less(X1,X0)
& ( X2 != X3 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X1: $int,X2: $int] :
~ ( ( X0 != X1 )
& ( X0 != X2 )
& $less(b(X1),3)
& ( a(X2) = 8 )
& $less(X1,X0)
& ( a(X0) = 7 )
& ( X1 != X2 )
& ( a(X1) = 10 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X0) = 2 )
& ( X0 != X1 )
& $less(b(X1),3)
& ( b(X2) = 2 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( a(X2) = 8 )
& $less(X1,X0)
& ( a(X1) = 10 ) )
& ! [X1: $int,X0: $int] :
~ ( $less(X1,X0)
& ( a(X0) = 8 )
& ( a(X1) = 10 )
& $less(b(X1),3)
& ( X0 != X1 ) )
& ! [X2: $int,X3: $int,X0: $int,X1: $int] :
~ ( ( X0 != X1 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& $less(X1,X0)
& ( X1 != X2 )
& ( b(X3) = 2 )
& ( a(X2) = 6 )
& ( X2 != X3 )
& ( X0 != X2 )
& ( b(X0) = 5 )
& ( a(X0) = 5 )
& $less(b(X1),3)
& ( X0 != X3 ) )
& ! [X0: $int,X2: $int,X1: $int] :
~ ( ( a(X1) = 10 )
& $less(X1,X0)
& ( a(X2) = 4 )
& ( a(X0) = 1 )
& ( b(X0) = 5 )
& ( X1 != X2 )
& ( X0 != X2 )
& ( X0 != X1 )
& ( b(X1) = 2 ) )
& ! [X0: $int,X2: $int,X1: $int,X3: $int] :
~ ( ( a(X2) = 7 )
& ( b(X1) = 2 )
& ( X1 != X3 )
& ( a(X1) = 10 )
& $less(b(X2),4)
& ( X1 != X2 )
& ( X0 != X2 )
& ( b(X3) = 5 )
& ( X0 != X1 )
& ( X0 != X3 )
& $less(X1,X0)
& ( a(X0) = 1 )
& ( X2 != X3 ) )
& ! [X3: $int,X1: $int,X0: $int,X2: $int] :
~ ( ( X0 != X3 )
& $less(b(X1),3)
& ( a(X0) = 4 )
& ( b(X3) = 2 )
& ( X1 != X3 )
& ( X2 != X3 )
& ( a(X1) = 10 )
& ( X1 != X2 )
& $less(X1,X0)
& ( X0 != X1 )
& ( X0 != X2 )
& ( a(X2) = 8 ) )
& ( z3 != z5 ) )
=> ~ ( ( b(z4) = 2 )
& $less(b(z2),3)
& ( a(z1) = 4 )
& ( a(z4) = 7 )
& ( b(z3) = 5 )
& ( a(z2) = 10 )
& $less(z2,z1) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f16,plain,
~ ( ( ! [X0: $int,X3: $int,X2: $int,X1: $int] :
~ ( ( 10 = a(X2) )
& ( a(X3) = 2 )
& ( X1 != X2 )
& $less(X2,X0)
& ( a(X0) = 5 )
& ( X0 != X3 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X3 )
& $less(b(X2),3)
& ( a(X1) = 8 ) )
& ( z2 != z3 )
& ! [X4: $int,X6: $int,X5: $int] :
~ ( $less(b(X4),3)
& ( X5 != X6 )
& ( X4 != X6 )
& ( 10 = a(X4) )
& $less(X4,X5)
& ( 6 = a(X6) )
& ( 5 = b(X5) )
& ( X4 != X5 )
& ( 6 = a(X5) ) )
& ! [X7: $int] :
( ~ $less(a(X7),1)
& ~ $less(12,a(X7)) )
& ! [X9: $int,X8: $int,X10: $int,X11: $int] :
~ ( $less(b(X10),3)
& ( X9 != X11 )
& ( X9 != X10 )
& ( X8 != X9 )
& ( X8 != X10 )
& ( 5 = b(X8) )
& $less(X10,X11)
& ( 10 = a(X10) )
& ( 4 = a(X11) )
& ( 7 = a(X9) )
& ( 2 = b(X9) )
& ( X10 != X11 )
& ( X8 != X11 ) )
& ! [X13: $int,X12: $int,X14: $int] :
~ ( ( X12 != X14 )
& $less(b(X13),3)
& ( 5 = b(X12) )
& ( 6 = a(X14) )
& ( X12 != X13 )
& ( 10 = a(X13) )
& $less(X13,X14)
& ( X13 != X14 ) )
& ( z2 != z4 )
& ! [X15: $int,X16: $int,X17: $int] :
~ ( ( X16 != X17 )
& ( 4 = a(X17) )
& $less(X16,X17)
& ( X15 != X16 )
& ( 5 = b(X17) )
& ( X15 != X17 )
& ( 10 = a(X16) )
& ( 7 = a(X15) )
& ( 2 = b(X16) ) )
& ! [X18: $int,X19: $int,X20: $int] :
~ ( ( 5 = a(X20) )
& ( X18 != X20 )
& ( X18 != X19 )
& ( X19 != X20 )
& ( 6 = a(X18) )
& ( 10 = a(X19) )
& $less(X19,X18)
& ( 5 = b(X18) )
& ( 2 = b(X19) ) )
& ! [X21: $int,X23: $int,X22: $int] :
~ ( ( 4 = a(X22) )
& ( 7 = a(X21) )
& ( X22 != X23 )
& ( X21 != X23 )
& ( X21 != X22 )
& ( 2 = b(X23) )
& ( 10 = a(X23) )
& ( 5 = b(X21) )
& $less(X23,X21) )
& ! [X25: $int,X24: $int,X26: $int] :
~ ( ( 2 = b(X25) )
& $less(X25,X24)
& ( X24 != X26 )
& ( 5 = b(X26) )
& ( X25 != X26 )
& ( 10 = a(X25) )
& ( 4 = a(X24) )
& ( X24 != X25 ) )
& ! [X29: $int,X27: $int,X28: $int] :
~ ( ( X27 != X29 )
& ( 2 = a(X29) )
& ( 2 = b(X27) )
& ( 10 = a(X27) )
& ( 5 = b(X29) )
& $less(X27,X29)
& ( 6 = a(X28) )
& ( X28 != X29 )
& ( X27 != X28 ) )
& ( z1 != z4 )
& ( z2 != z5 )
& ! [X33: $int,X30: $int,X31: $int,X32: $int] :
~ ( ( X31 != X32 )
& $less(X30,X33)
& ( X30 != X32 )
& ( X32 != X33 )
& ( X31 != X33 )
& ( 10 = a(X30) )
& ( X30 != X33 )
& ( 5 = b(X31) )
& $less(b(X30),3)
& ( 2 = b(X32) )
& ( X30 != X31 )
& ( 4 = a(X33) ) )
& ! [X36: $int,X34: $int,X35: $int,X37: $int] :
~ ( ( X34 != X35 )
& ( 2 = b(X35) )
& ( X34 != X37 )
& ( 5 = b(X34) )
& ( X35 != X37 )
& ( 7 = a(X35) )
& $less(X37,X36)
& $less(b(X37),3)
& ( X35 != X36 )
& ( X36 != X37 )
& ( 10 = a(X37) )
& ( 2 = a(X36) )
& ( X34 != X36 ) )
& ! [X38: $int,X40: $int,X39: $int] :
~ ( ( 8 = a(X40) )
& $less(b(X38),3)
& ( X39 != X40 )
& ( 5 = a(X39) )
& $less(X38,X39)
& ( 10 = a(X38) )
& ( 2 = b(X40) )
& ( X38 != X39 )
& ( X38 != X40 ) )
& ! [X42: $int,X43: $int,X41: $int] :
~ ( ( 5 = b(X43) )
& $less(X41,X42)
& ( 7 = a(X42) )
& ( X41 != X42 )
& ( X42 != X43 )
& $less(b(X41),3)
& ( 10 = a(X41) )
& ( X41 != X43 ) )
& ! [X45: $int,X44: $int,X46: $int] :
~ ( $less(X45,X46)
& ( X45 != X46 )
& ( 7 = a(X46) )
& ( 10 = a(X45) )
& ( 5 = b(X46) )
& $less(b(X45),3)
& ( 7 = a(X44) )
& ( X44 != X45 )
& ( X44 != X46 ) )
& ! [X49: $int,X48: $int,X47: $int,X50: $int] :
~ ( ( 5 = b(X50) )
& ( X47 != X49 )
& ( 5 = a(X47) )
& ( X48 != X49 )
& ( X47 != X48 )
& ( 2 = b(X49) )
& ( X49 != X50 )
& $less(b(X48),3)
& ( X47 != X50 )
& $less(X48,X50)
& ( X48 != X50 )
& ( 10 = a(X48) )
& ( 7 = a(X50) ) )
& ! [X52: $int,X53: $int,X54: $int,X51: $int] :
~ ( ( X51 != X52 )
& ( X52 != X54 )
& ( 5 = b(X53) )
& ( 7 = a(X51) )
& ( X51 != X54 )
& $less(X52,X54)
& ( X52 != X53 )
& ( 3 = a(X54) )
& ( 10 = a(X52) )
& ( X51 != X53 )
& $less(b(X52),3)
& ( X53 != X54 )
& $less(b(X54),4)
& ( 2 = b(X51) ) )
& ! [X57: $int,X58: $int,X55: $int,X56: $int] :
~ ( ( X55 != X57 )
& ( X55 != X58 )
& ( 2 = a(X57) )
& $less(b(X56),3)
& ( 5 = b(X58) )
& $less(X56,X55)
& ( X57 != X58 )
& ( X56 != X58 )
& ( 10 = a(X56) )
& ( X55 != X56 )
& ( X56 != X57 )
& ( 4 = a(X55) ) )
& ! [X59: $int] :
( ~ $less(5,b(X59))
& ~ $less(b(X59),1) )
& ( z4 != z5 )
& ! [X61: $int,X60: $int,X62: $int] :
~ ( ( 2 = b(X61) )
& ( X60 != X61 )
& $less(X61,X60)
& ( 6 = a(X62) )
& ( X61 != X62 )
& ( 5 = b(X60) )
& ( 10 = a(X61) )
& ( 12 = a(X60) )
& ( X60 != X62 ) )
& $true
& ! [X63: $int,X65: $int,X66: $int,X64: $int] :
~ ( $less(X63,X65)
& $less(b(X63),3)
& ( 10 = a(X63) )
& ( 5 = b(X64) )
& ( X63 != X65 )
& ( X65 != X66 )
& ( X63 != X64 )
& ( 2 = b(X66) )
& ( X63 != X66 )
& ( 5 = a(X65) )
& ( X64 != X65 )
& ( X64 != X66 ) )
& ! [X67: $int,X69: $int,X68: $int] :
~ ( ( X67 != X68 )
& ( 5 = a(X67) )
& ( 1 = a(X68) )
& ( X68 != X69 )
& ( X67 != X69 )
& ( 10 = a(X69) )
& $less(X69,X68)
& ( 5 = b(X68) )
& ( 2 = b(X69) ) )
& ! [X73: $int,X72: $int,X71: $int,X70: $int] :
~ ( ( 10 = a(X70) )
& ( 2 = b(X72) )
& ( 8 = a(X73) )
& $less(X70,X71)
& $less(b(X70),3)
& ( X72 != X73 )
& ( 5 = a(X71) )
& ( X70 != X72 )
& ( X70 != X73 )
& ( X71 != X73 )
& ( X71 != X72 )
& ( X70 != X71 ) )
& ( z1 != z3 )
& ! [X76: $int,X74: $int,X75: $int] :
~ ( ( X75 != X76 )
& ( X74 != X75 )
& ( 4 = a(X75) )
& ( 10 = a(X76) )
& ( 8 = a(X74) )
& ( 2 = b(X74) )
& $less(X76,X75)
& $less(b(X76),3)
& ( X74 != X76 ) )
& ! [X80: $int,X78: $int,X79: $int,X77: $int] :
~ ( ( 5 = b(X80) )
& ( X78 != X80 )
& ( 2 = b(X78) )
& $less(b(X79),4)
& ( 7 = a(X79) )
& ( X77 != X79 )
& $less(X78,X77)
& ( 10 = a(X78) )
& ( X79 != X80 )
& ( X77 != X80 )
& ( 2 = a(X77) )
& ( X77 != X78 )
& ( X78 != X79 ) )
& ( z1 != z2 )
& ! [X81: $int,X82: $int,X83: $int] :
~ ( ( X81 != X82 )
& ( 10 = a(X83) )
& ( 1 = a(X81) )
& $less(b(X83),3)
& ( X82 != X83 )
& ( 8 = a(X82) )
& ( X81 != X83 )
& ( 2 = b(X82) )
& $less(X83,X81) )
& ! [X86: $int,X84: $int,X85: $int] :
~ ( ( X85 != X86 )
& ( 10 = a(X84) )
& $less(X84,X85)
& ( X84 != X86 )
& ( X84 != X85 )
& ( 1 = a(X85) )
& ( 2 = b(X84) )
& ( 6 = a(X86) )
& ( 5 = b(X85) ) )
& ! [X88: $int,X87: $int,X89: $int] :
~ ( $less(X89,X88)
& ( X88 != X89 )
& ( X87 != X89 )
& ( X87 != X88 )
& ( 5 = a(X88) )
& ( 10 = a(X89) )
& ( 5 = b(X87) )
& ( 2 = b(X89) ) )
& ! [X90: $int,X91: $int,X92: $int] :
~ ( ( X91 != X92 )
& $less(X92,X91)
& ( 10 = a(X92) )
& ( X90 != X92 )
& ( 5 = a(X90) )
& ( X90 != X91 )
& ( 5 = b(X91) )
& ( 2 = b(X92) )
& ( 5 = a(X91) ) )
& ! [X94: $int,X95: $int,X93: $int] :
~ ( $less(b(X94),3)
& ( X94 != X95 )
& ( X93 != X95 )
& ( 5 = b(X95) )
& ( 7 = a(X93) )
& ( X93 != X94 )
& $less(X94,X95)
& ( 6 = a(X95) )
& ( 10 = a(X94) ) )
& ! [X96: $int,X98: $int,X97: $int] :
~ ( ( 4 = a(X96) )
& ( X97 != X98 )
& ( X96 != X97 )
& ( 10 = a(X98) )
& ( 6 = a(X97) )
& ( X96 != X98 )
& ( 5 = b(X97) )
& ( 2 = b(X98) )
& $less(X98,X97) )
& ! [X100: $int,X99: $int] :
~ ( ( X99 != X100 )
& $less(b(X100),3)
& ( 9 = a(X99) )
& $less(X100,X99)
& ( 10 = a(X100) ) )
& ! [X101: $int,X102: $int,X103: $int] :
~ ( ( 6 = a(X102) )
& ( X102 != X103 )
& ( X101 != X102 )
& $less(b(X101),3)
& ( X101 != X103 )
& ( 10 = a(X101) )
& $less(X101,X102)
& ( 8 = a(X103) ) )
& ! [X104: $int,X105: $int,X106: $int] :
~ ( ( X104 != X106 )
& ( 10 = a(X104) )
& ( X105 != X106 )
& ( 2 = a(X105) )
& ( 2 = b(X104) )
& $less(b(X106),4)
& ( X104 != X105 )
& $less(X104,X105)
& ( 8 = a(X106) ) )
& ! [X109: $int,X107: $int,X108: $int] :
~ ( ( X108 != X109 )
& ( 1 = a(X108) )
& ( X107 != X108 )
& ( X107 != X109 )
& ( 2 = b(X107) )
& $less(b(X109),4)
& ( 10 = a(X107) )
& $less(X107,X108)
& ( 8 = a(X109) ) )
& ! [X111: $int,X113: $int,X110: $int,X112: $int] :
~ ( $less(X110,X111)
& ( 2 = b(X112) )
& ( X110 != X112 )
& ( X112 != X113 )
& ( 5 = a(X111) )
& $less(b(X110),3)
& ( 5 = a(X113) )
& ( X110 != X113 )
& ( 2 = b(X113) )
& ( 5 = b(X111) )
& ( X111 != X112 )
& ( 10 = a(X110) )
& ( X111 != X113 )
& ( X110 != X111 ) )
& ! [X115: $int,X116: $int,X114: $int,X117: $int] :
~ ( $less(b(X116),3)
& ( X114 != X117 )
& ( 5 = a(X114) )
& ( 2 = b(X117) )
& ( X115 != X116 )
& ( X114 != X115 )
& ( 5 = b(X114) )
& ( X116 != X117 )
& $less(X116,X114)
& ( 7 = a(X115) )
& ( X114 != X116 )
& ( 10 = a(X116) )
& ( X115 != X117 ) )
& ! [X119: $int,X120: $int,X118: $int] :
~ ( ( X119 != X120 )
& $less(b(X120),3)
& ( 2 = b(X119) )
& ( 2 = a(X118) )
& ( 7 = a(X119) )
& ( 5 = b(X118) )
& ( X118 != X119 )
& ( X118 != X120 )
& ( 10 = a(X120) )
& $less(X120,X118) )
& ! [X121: $int,X123: $int,X122: $int] :
~ ( $less(b(X122),4)
& ( X121 != X123 )
& ( 7 = a(X122) )
& ( 5 = b(X121) )
& $less(X123,X121)
& ( 2 = b(X123) )
& ( 10 = a(X123) )
& ( X121 != X122 )
& ( X122 != X123 )
& ( 12 = a(X121) ) )
& ! [X125: $int,X126: $int,X124: $int] :
~ ( ( X124 != X125 )
& ( X125 != X126 )
& ( X124 != X126 )
& ( 2 = a(X124) )
& $less(X126,X124)
& $less(b(X125),4)
& ( 5 = b(X124) )
& ( 2 = b(X126) )
& ( 10 = a(X126) )
& ( 7 = a(X125) ) )
& ( z3 != z4 )
& ! [X128: $int,X130: $int,X129: $int,X127: $int] :
~ ( ( 10 = a(X127) )
& ( 6 = a(X130) )
& ( X127 != X130 )
& $less(b(X127),3)
& ( 5 = b(X130) )
& ( X128 != X130 )
& $less(X127,X130)
& ( X127 != X129 )
& ( X128 != X129 )
& ( 2 = b(X128) )
& ( 5 = a(X129) )
& ( X127 != X128 )
& ( X129 != X130 ) )
& ! [X133: $int,X131: $int,X132: $int] :
~ ( ( 4 = a(X133) )
& ( 10 = a(X132) )
& ( X131 != X133 )
& ( X131 != X132 )
& ( 5 = b(X133) )
& $less(b(X132),3)
& ( X132 != X133 )
& ( 7 = a(X131) )
& ( 2 = b(X131) )
& $less(X132,X133) )
& ! [X134: $int,X136: $int,X135: $int] :
~ ( ( 2 = b(X136) )
& ( 6 = a(X135) )
& ( X135 != X136 )
& $less(X136,X134)
& ( 5 = a(X134) )
& ( 10 = a(X136) )
& ( X134 != X135 )
& ( X134 != X136 )
& ( 5 = b(X134) ) )
& ! [X137: $int,X139: $int,X138: $int] :
~ ( $less(b(X138),4)
& ( 8 = a(X139) )
& ( 10 = a(X137) )
& ( X137 != X138 )
& ( X138 != X139 )
& $less(b(X139),4)
& ( 2 = b(X137) )
& $less(X137,X138)
& ( 3 = a(X138) )
& ( X137 != X139 ) )
& ! [X141: $int,X140: $int,X142: $int] :
~ ( ( 5 = a(X141) )
& ( 2 = a(X142) )
& ( 5 = b(X142) )
& ( X140 != X141 )
& ( 10 = a(X140) )
& $less(X140,X142)
& ( X140 != X142 )
& ( 2 = b(X140) )
& ( X141 != X142 ) )
& ! [X144: $int,X145: $int,X143: $int] :
~ ( $less(X144,X143)
& ( X143 != X145 )
& ( 5 = a(X145) )
& ( 5 = b(X143) )
& ( X143 != X144 )
& ( 2 = b(X144) )
& ( 7 = a(X143) )
& ( X144 != X145 )
& ( 10 = a(X144) ) )
& ! [X146: $int,X148: $int,X147: $int] :
~ ( ( 12 = a(X148) )
& ( 10 = a(X147) )
& ( X147 != X148 )
& ( 5 = b(X148) )
& $less(X147,X148)
& ( 5 = a(X146) )
& ( X146 != X148 )
& ( X146 != X147 )
& ( 2 = b(X147) ) )
& ! [X149: $int,X151: $int,X152: $int,X150: $int] :
~ ( ( 2 = b(X151) )
& ( X150 != X152 )
& ( X150 != X151 )
& ( X149 != X152 )
& ( 10 = a(X152) )
& $less(b(X152),3)
& ( X149 != X151 )
& ( 7 = a(X151) )
& ( 12 = a(X149) )
& ( 5 = b(X150) )
& ( X151 != X152 )
& ( X149 != X150 )
& $less(X152,X149) )
& ! [X153: $int,X154: $int,X155: $int] :
~ ( ( 5 = b(X155) )
& ( 5 = a(X155) )
& ( X154 != X155 )
& ( 2 = b(X154) )
& $less(X154,X155)
& ( X153 != X154 )
& ( 7 = a(X153) )
& ( X153 != X155 )
& ( 10 = a(X154) ) )
& ! [X157: $int,X156: $int,X158: $int] :
~ ( ( X156 != X158 )
& ( 5 = b(X158) )
& ( X157 != X158 )
& ( X156 != X157 )
& $less(X156,X158)
& ( 2 = b(X156) )
& ( 4 = a(X158) )
& ( 10 = a(X156) )
& ( 6 = a(X157) ) )
& ! [X160: $int,X161: $int,X159: $int] :
~ ( ( 2 = b(X160) )
& ( X160 != X161 )
& ( 10 = a(X160) )
& ( X159 != X160 )
& ( 5 = b(X161) )
& ( 4 = a(X159) )
& ( X159 != X161 )
& $less(X160,X161)
& ( 12 = a(X161) ) )
& ! [X163: $int,X162: $int] :
~ ( ( 10 = a(X162) )
& ( X162 != X163 )
& ( 10 = a(X163) ) )
& ! [X166: $int,X165: $int,X164: $int] :
~ ( ( X164 != X166 )
& ( 2 = b(X164) )
& ( X164 != X165 )
& $less(b(X165),3)
& $less(X165,X166)
& ( 12 = a(X166) )
& ( X165 != X166 )
& ( 8 = a(X164) )
& ( 10 = a(X165) ) )
& ! [X168: $int,X169: $int,X167: $int,X170: $int] :
~ ( ( X168 != X169 )
& ( 7 = a(X170) )
& $less(X167,X168)
& ( X167 != X169 )
& ( X167 != X168 )
& ( X169 != X170 )
& ( 12 = a(X168) )
& ( 2 = b(X167) )
& ( 5 = b(X169) )
& $less(b(X170),4)
& ( 10 = a(X167) )
& ( X168 != X170 )
& ( X167 != X170 ) )
& ! [X172: $int,X173: $int,X171: $int] :
~ ( ( 5 = a(X173) )
& ( 5 = b(X171) )
& ( X171 != X173 )
& ( 2 = b(X172) )
& ( X171 != X172 )
& ( 4 = a(X171) )
& $less(X172,X171)
& ( 10 = a(X172) )
& ( X172 != X173 ) )
& ! [X174: $int,X176: $int,X175: $int] :
~ ( $less(X175,X174)
& ( 8 = a(X176) )
& ( X174 != X176 )
& $less(b(X175),3)
& ( 10 = a(X175) )
& ( X175 != X176 )
& ( X174 != X175 )
& $less(b(X174),4)
& ( 3 = a(X174) )
& ( 2 = b(X176) ) )
& ! [X177: $int,X179: $int,X180: $int,X178: $int] :
~ ( ( X177 != X178 )
& $less(b(X180),4)
& ( X179 != X180 )
& ( X177 != X179 )
& ( 3 = a(X177) )
& ( 2 = b(X178) )
& $less(b(X177),4)
& $less(X178,X177)
& ( 5 = b(X179) )
& ( X178 != X180 )
& ( 7 = a(X180) )
& ( X177 != X180 )
& ( 10 = a(X178) )
& ( X178 != X179 ) )
& ! [X183: $int,X181: $int,X182: $int] :
~ ( ( 8 = a(X181) )
& ( X181 != X183 )
& ( X181 != X182 )
& $less(X183,X182)
& ( X182 != X183 )
& ( 2 = b(X183) )
& ( 10 = a(X183) )
& ( 5 = a(X182) ) )
& ! [X186: $int,X184: $int,X185: $int] :
~ ( ( X185 != X186 )
& ( 10 = a(X184) )
& ( 2 = b(X184) )
& ( X184 != X186 )
& ( 8 = a(X186) )
& ( X184 != X185 )
& $less(X184,X185)
& ( 4 = a(X185) ) )
& ! [X187: $int,X188: $int,X189: $int] :
~ ( $less(b(X189),3)
& ( 10 = a(X189) )
& ( 5 = a(X188) )
& ( 5 = b(X188) )
& ( 6 = a(X187) )
& ( X188 != X189 )
& ( 2 = b(X187) )
& $less(X189,X188)
& ( X187 != X188 )
& ( X187 != X189 ) )
& ! [X190: $int,X192: $int,X191: $int] :
~ ( $less(X191,X190)
& ( 2 = b(X192) )
& ( 1 = a(X190) )
& ( X190 != X192 )
& ( X190 != X191 )
& ( 10 = a(X191) )
& ( 7 = a(X192) )
& $less(b(X191),3)
& ( X191 != X192 )
& ( 5 = b(X190) ) )
& ! [X195: $int,X193: $int,X194: $int] :
~ ( ( X193 != X195 )
& ( X194 != X195 )
& ( X193 != X194 )
& ( 2 = b(X194) )
& ( 10 = a(X194) )
& $less(X194,X193)
& $less(b(X195),4)
& ( 12 = a(X193) )
& ( 8 = a(X195) ) )
& ! [X196: $int,X197: $int,X198: $int,X199: $int] :
~ ( $less(X196,X197)
& ( X196 != X198 )
& ( X198 != X199 )
& ( 2 = a(X198) )
& ( X197 != X198 )
& $less(b(X196),3)
& ( X196 != X197 )
& ( X197 != X199 )
& ( X196 != X199 )
& ( 5 = b(X199) )
& ( 10 = a(X196) )
& ( 5 = a(X197) ) )
& ! [X200: $int,X202: $int,X201: $int] :
~ ( ( X200 != X202 )
& ( 4 = a(X200) )
& $less(X202,X201)
& ( X201 != X202 )
& ( X200 != X201 )
& ( 2 = a(X201) )
& ( 2 = b(X202) )
& ( 10 = a(X202) )
& ( 5 = b(X201) ) )
& ( z1 != z5 )
& ! [X203: $int,X205: $int,X204: $int] :
~ ( ( X203 != X204 )
& ( 2 = b(X204) )
& ( 10 = a(X204) )
& ( X204 != X205 )
& $less(X204,X205)
& ( 4 = a(X205) )
& ( 5 = b(X205) )
& ( X203 != X205 )
& ( 4 = a(X203) ) )
& ! [X206: $int,X208: $int,X207: $int] :
~ ( ( X207 != X208 )
& ( 5 = a(X206) )
& ( X206 != X207 )
& ( 5 = b(X206) )
& ( 4 = a(X207) )
& ( 10 = a(X208) )
& ( 2 = b(X208) )
& $less(X208,X206)
& ( X206 != X208 ) )
& ! [X209: $int,X210: $int,X211: $int] :
~ ( ( 5 = b(X210) )
& $less(X211,X210)
& ( X210 != X211 )
& ( 12 = a(X210) )
& $less(b(X211),3)
& ( 2 = b(X209) )
& ( X209 != X210 )
& ( 7 = a(X209) )
& ( X209 != X211 )
& ( 10 = a(X211) ) )
& ! [X212: $int,X213: $int,X214: $int] :
~ ( ( X213 != X214 )
& ( 2 = b(X213) )
& ( 5 = b(X214) )
& $less(X212,X214)
& ( X212 != X213 )
& ( X212 != X214 )
& ( 10 = a(X212) )
& $less(b(X212),3)
& ( 5 = a(X214) )
& ( 7 = a(X213) ) )
& ! [X215: $int,X216: $int,X217: $int] :
~ ( ( 7 = a(X216) )
& ( X215 != X216 )
& ( X216 != X217 )
& $less(X217,X216)
& $less(b(X217),3)
& ( 6 = a(X215) )
& ( 5 = b(X216) )
& ( X215 != X217 )
& ( 10 = a(X217) ) )
& ! [X220: $int,X221: $int,X219: $int,X218: $int] :
~ ( ( 5 = b(X220) )
& ( X219 != X220 )
& ( 7 = a(X218) )
& ( 2 = b(X218) )
& ( 1 = a(X221) )
& ( X218 != X221 )
& ( X218 != X220 )
& $less(b(X219),3)
& ( X219 != X221 )
& ( 10 = a(X219) )
& ( X218 != X219 )
& $less(X219,X221)
& ( X220 != X221 ) )
& ! [X224: $int,X222: $int,X223: $int] :
~ ( ( 1 = a(X223) )
& ( X223 != X224 )
& ( 2 = b(X224) )
& ( X222 != X223 )
& $less(b(X222),4)
& ( X222 != X224 )
& ( 5 = b(X223) )
& $less(X224,X223)
& ( 10 = a(X224) )
& ( 7 = a(X222) ) )
& ! [X227: $int,X226: $int,X225: $int,X228: $int] :
~ ( ( X225 != X226 )
& ( 1 = a(X225) )
& ( X225 != X227 )
& $less(b(X226),3)
& $less(X226,X227)
& ( X225 != X228 )
& ( 5 = b(X228) )
& ( 10 = a(X226) )
& ( X227 != X228 )
& ( X226 != X227 )
& ( X226 != X228 )
& ( 5 = a(X227) ) )
& ! [X230: $int,X229: $int,X231: $int] :
~ ( $less(X230,X229)
& ( X229 != X231 )
& $less(b(X230),3)
& ( X230 != X231 )
& ( 10 = a(X230) )
& ( 7 = a(X229) )
& ( X229 != X230 )
& ( 8 = a(X231) ) )
& ! [X233: $int,X234: $int,X232: $int] :
~ ( ( X233 != X234 )
& ( 8 = a(X233) )
& ( X232 != X234 )
& $less(X234,X232)
& ( 2 = a(X232) )
& ( 10 = a(X234) )
& $less(b(X234),3)
& ( 2 = b(X233) )
& ( X232 != X233 ) )
& ! [X236: $int,X235: $int] :
~ ( $less(b(X235),3)
& ( 10 = a(X235) )
& $less(X235,X236)
& ( X235 != X236 )
& ( 8 = a(X236) ) )
& ! [X237: $int,X240: $int,X238: $int,X239: $int] :
~ ( ( 5 = b(X239) )
& $less(b(X240),3)
& ( X238 != X240 )
& ( X237 != X240 )
& ( 2 = b(X238) )
& ( 6 = a(X237) )
& ( 5 = a(X239) )
& ( X237 != X239 )
& ( X237 != X238 )
& ( X239 != X240 )
& ( 10 = a(X240) )
& $less(X240,X239)
& ( X238 != X239 ) )
& ! [X242: $int,X241: $int,X243: $int] :
~ ( ( X241 != X242 )
& ( X241 != X243 )
& ( 10 = a(X243) )
& $less(X243,X241)
& ( X242 != X243 )
& ( 4 = a(X242) )
& ( 2 = b(X243) )
& ( 1 = a(X241) )
& ( 5 = b(X241) ) )
& ! [X246: $int,X244: $int,X245: $int,X247: $int] :
~ ( ( X245 != X247 )
& ( X244 != X247 )
& ( X246 != X247 )
& $less(b(X245),4)
& ( 10 = a(X246) )
& ( 5 = b(X247) )
& ( 7 = a(X245) )
& ( 1 = a(X244) )
& ( X245 != X246 )
& ( X244 != X245 )
& ( 2 = b(X246) )
& $less(X246,X244)
& ( X244 != X246 ) )
& ! [X251: $int,X250: $int,X248: $int,X249: $int] :
~ ( ( X249 != X251 )
& ( X248 != X251 )
& $less(X249,X250)
& ( 8 = a(X251) )
& ( 10 = a(X249) )
& $less(b(X249),3)
& ( X248 != X250 )
& ( 2 = b(X248) )
& ( X249 != X250 )
& ( X250 != X251 )
& ( 4 = a(X250) )
& ( X248 != X249 ) )
& ( z3 != z5 ) )
=> ~ ( ( b(z4) = 2 )
& $less(b(z2),3)
& ( a(z1) = 4 )
& ( a(z4) = 7 )
& ( b(z3) = 5 )
& ( a(z2) = 10 )
& $less(z2,z1) ) ),
inference(rectify,[],[f3]) ).
tff(f17,plain,
~ ( ( ! [X67: $int,X69: $int,X68: $int] :
~ ( ( X67 != X68 )
& ( 5 = a(X67) )
& ( 1 = a(X68) )
& ( X68 != X69 )
& ( X67 != X69 )
& ( 10 = a(X69) )
& $less(X69,X68)
& ( 5 = b(X68) )
& ( 2 = b(X69) ) )
& ! [X13: $int,X12: $int,X14: $int] :
~ ( ( X12 != X14 )
& $less(b(X13),3)
& ( 5 = b(X12) )
& ( 6 = a(X14) )
& ( X12 != X13 )
& ( 10 = a(X13) )
& $less(X13,X14)
& ( X13 != X14 ) )
& ! [X172: $int,X173: $int,X171: $int] :
~ ( ( 5 = a(X173) )
& ( 5 = b(X171) )
& ( X171 != X173 )
& ( 2 = b(X172) )
& ( X171 != X172 )
& ( 4 = a(X171) )
& $less(X172,X171)
& ( 10 = a(X172) )
& ( X172 != X173 ) )
& ! [X4: $int,X6: $int,X5: $int] :
~ ( $less(b(X4),3)
& ( X5 != X6 )
& ( X4 != X6 )
& ( 10 = a(X4) )
& $less(X4,X5)
& ( 6 = a(X6) )
& ( 5 = b(X5) )
& ( X4 != X5 )
& ( 6 = a(X5) ) )
& ! [X133: $int,X131: $int,X132: $int] :
~ ( ( 4 = a(X133) )
& ( 10 = a(X132) )
& ( X131 != X133 )
& ( X131 != X132 )
& ( 5 = b(X133) )
& $less(b(X132),3)
& ( X132 != X133 )
& ( 7 = a(X131) )
& ( 2 = b(X131) )
& $less(X132,X133) )
& ! [X42: $int,X43: $int,X41: $int] :
~ ( ( 5 = b(X43) )
& $less(X41,X42)
& ( 7 = a(X42) )
& ( X41 != X42 )
& ( X42 != X43 )
& $less(b(X41),3)
& ( 10 = a(X41) )
& ( X41 != X43 ) )
& ! [X90: $int,X91: $int,X92: $int] :
~ ( ( X91 != X92 )
& $less(X92,X91)
& ( 10 = a(X92) )
& ( X90 != X92 )
& ( 5 = a(X90) )
& ( X90 != X91 )
& ( 5 = b(X91) )
& ( 2 = b(X92) )
& ( 5 = a(X91) ) )
& ! [X168: $int,X169: $int,X167: $int,X170: $int] :
~ ( ( X168 != X169 )
& ( 7 = a(X170) )
& $less(X167,X168)
& ( X167 != X169 )
& ( X167 != X168 )
& ( X169 != X170 )
& ( 12 = a(X168) )
& ( 2 = b(X167) )
& ( 5 = b(X169) )
& $less(b(X170),4)
& ( 10 = a(X167) )
& ( X168 != X170 )
& ( X167 != X170 ) )
& ! [X81: $int,X82: $int,X83: $int] :
~ ( ( X81 != X82 )
& ( 10 = a(X83) )
& ( 1 = a(X81) )
& $less(b(X83),3)
& ( X82 != X83 )
& ( 8 = a(X82) )
& ( X81 != X83 )
& ( 2 = b(X82) )
& $less(X83,X81) )
& ! [X242: $int,X241: $int,X243: $int] :
~ ( ( X241 != X242 )
& ( X241 != X243 )
& ( 10 = a(X243) )
& $less(X243,X241)
& ( X242 != X243 )
& ( 4 = a(X242) )
& ( 2 = b(X243) )
& ( 1 = a(X241) )
& ( 5 = b(X241) ) )
& ! [X220: $int,X221: $int,X219: $int,X218: $int] :
~ ( ( 5 = b(X220) )
& ( X219 != X220 )
& ( 7 = a(X218) )
& ( 2 = b(X218) )
& ( 1 = a(X221) )
& ( X218 != X221 )
& ( X218 != X220 )
& $less(b(X219),3)
& ( X219 != X221 )
& ( 10 = a(X219) )
& ( X218 != X219 )
& $less(X219,X221)
& ( X220 != X221 ) )
& ! [X25: $int,X24: $int,X26: $int] :
~ ( ( 2 = b(X25) )
& $less(X25,X24)
& ( X24 != X26 )
& ( 5 = b(X26) )
& ( X25 != X26 )
& ( 10 = a(X25) )
& ( 4 = a(X24) )
& ( X24 != X25 ) )
& ( z2 != z5 )
& ! [X115: $int,X116: $int,X114: $int,X117: $int] :
~ ( $less(b(X116),3)
& ( X114 != X117 )
& ( 5 = a(X114) )
& ( 2 = b(X117) )
& ( X115 != X116 )
& ( X114 != X115 )
& ( 5 = b(X114) )
& ( X116 != X117 )
& $less(X116,X114)
& ( 7 = a(X115) )
& ( X114 != X116 )
& ( 10 = a(X116) )
& ( X115 != X117 ) )
& ! [X128: $int,X130: $int,X129: $int,X127: $int] :
~ ( ( 10 = a(X127) )
& ( 6 = a(X130) )
& ( X127 != X130 )
& $less(b(X127),3)
& ( 5 = b(X130) )
& ( X128 != X130 )
& $less(X127,X130)
& ( X127 != X129 )
& ( X128 != X129 )
& ( 2 = b(X128) )
& ( 5 = a(X129) )
& ( X127 != X128 )
& ( X129 != X130 ) )
& ! [X206: $int,X208: $int,X207: $int] :
~ ( ( X207 != X208 )
& ( 5 = a(X206) )
& ( X206 != X207 )
& ( 5 = b(X206) )
& ( 4 = a(X207) )
& ( 10 = a(X208) )
& ( 2 = b(X208) )
& $less(X208,X206)
& ( X206 != X208 ) )
& ! [X63: $int,X65: $int,X66: $int,X64: $int] :
~ ( $less(X63,X65)
& $less(b(X63),3)
& ( 10 = a(X63) )
& ( 5 = b(X64) )
& ( X63 != X65 )
& ( X65 != X66 )
& ( X63 != X64 )
& ( 2 = b(X66) )
& ( X63 != X66 )
& ( 5 = a(X65) )
& ( X64 != X65 )
& ( X64 != X66 ) )
& ! [X177: $int,X179: $int,X180: $int,X178: $int] :
~ ( ( X177 != X178 )
& $less(b(X180),4)
& ( X179 != X180 )
& ( X177 != X179 )
& ( 3 = a(X177) )
& ( 2 = b(X178) )
& $less(b(X177),4)
& $less(X178,X177)
& ( 5 = b(X179) )
& ( X178 != X180 )
& ( 7 = a(X180) )
& ( X177 != X180 )
& ( 10 = a(X178) )
& ( X178 != X179 ) )
& ( z2 != z3 )
& ! [X224: $int,X222: $int,X223: $int] :
~ ( ( 1 = a(X223) )
& ( X223 != X224 )
& ( 2 = b(X224) )
& ( X222 != X223 )
& $less(b(X222),4)
& ( X222 != X224 )
& ( 5 = b(X223) )
& $less(X224,X223)
& ( 10 = a(X224) )
& ( 7 = a(X222) ) )
& ! [X111: $int,X113: $int,X110: $int,X112: $int] :
~ ( $less(X110,X111)
& ( 2 = b(X112) )
& ( X110 != X112 )
& ( X112 != X113 )
& ( 5 = a(X111) )
& $less(b(X110),3)
& ( 5 = a(X113) )
& ( X110 != X113 )
& ( 2 = b(X113) )
& ( 5 = b(X111) )
& ( X111 != X112 )
& ( 10 = a(X110) )
& ( X111 != X113 )
& ( X110 != X111 ) )
& ! [X121: $int,X123: $int,X122: $int] :
~ ( $less(b(X122),4)
& ( X121 != X123 )
& ( 7 = a(X122) )
& ( 5 = b(X121) )
& $less(X123,X121)
& ( 2 = b(X123) )
& ( 10 = a(X123) )
& ( X121 != X122 )
& ( X122 != X123 )
& ( 12 = a(X121) ) )
& ! [X163: $int,X162: $int] :
~ ( ( 10 = a(X162) )
& ( X162 != X163 )
& ( 10 = a(X163) ) )
& ! [X190: $int,X192: $int,X191: $int] :
~ ( $less(X191,X190)
& ( 2 = b(X192) )
& ( 1 = a(X190) )
& ( X190 != X192 )
& ( X190 != X191 )
& ( 10 = a(X191) )
& ( 7 = a(X192) )
& $less(b(X191),3)
& ( X191 != X192 )
& ( 5 = b(X190) ) )
& ! [X73: $int,X72: $int,X71: $int,X70: $int] :
~ ( ( 10 = a(X70) )
& ( 2 = b(X72) )
& ( 8 = a(X73) )
& $less(X70,X71)
& $less(b(X70),3)
& ( X72 != X73 )
& ( 5 = a(X71) )
& ( X70 != X72 )
& ( X70 != X73 )
& ( X71 != X73 )
& ( X71 != X72 )
& ( X70 != X71 ) )
& ! [X38: $int,X40: $int,X39: $int] :
~ ( ( 8 = a(X40) )
& $less(b(X38),3)
& ( X39 != X40 )
& ( 5 = a(X39) )
& $less(X38,X39)
& ( 10 = a(X38) )
& ( 2 = b(X40) )
& ( X38 != X39 )
& ( X38 != X40 ) )
& ! [X109: $int,X107: $int,X108: $int] :
~ ( ( X108 != X109 )
& ( 1 = a(X108) )
& ( X107 != X108 )
& ( X107 != X109 )
& ( 2 = b(X107) )
& $less(b(X109),4)
& ( 10 = a(X107) )
& $less(X107,X108)
& ( 8 = a(X109) ) )
& ( z1 != z2 )
& ! [X153: $int,X154: $int,X155: $int] :
~ ( ( 5 = b(X155) )
& ( 5 = a(X155) )
& ( X154 != X155 )
& ( 2 = b(X154) )
& $less(X154,X155)
& ( X153 != X154 )
& ( 7 = a(X153) )
& ( X153 != X155 )
& ( 10 = a(X154) ) )
& ! [X61: $int,X60: $int,X62: $int] :
~ ( ( 2 = b(X61) )
& ( X60 != X61 )
& $less(X61,X60)
& ( 6 = a(X62) )
& ( X61 != X62 )
& ( 5 = b(X60) )
& ( 10 = a(X61) )
& ( 12 = a(X60) )
& ( X60 != X62 ) )
& ! [X76: $int,X74: $int,X75: $int] :
~ ( ( X75 != X76 )
& ( X74 != X75 )
& ( 4 = a(X75) )
& ( 10 = a(X76) )
& ( 8 = a(X74) )
& ( 2 = b(X74) )
& $less(X76,X75)
& $less(b(X76),3)
& ( X74 != X76 ) )
& ! [X160: $int,X161: $int,X159: $int] :
~ ( ( 2 = b(X160) )
& ( X160 != X161 )
& ( 10 = a(X160) )
& ( X159 != X160 )
& ( 5 = b(X161) )
& ( 4 = a(X159) )
& ( X159 != X161 )
& $less(X160,X161)
& ( 12 = a(X161) ) )
& ( z3 != z4 )
& ! [X146: $int,X148: $int,X147: $int] :
~ ( ( 12 = a(X148) )
& ( 10 = a(X147) )
& ( X147 != X148 )
& ( 5 = b(X148) )
& $less(X147,X148)
& ( 5 = a(X146) )
& ( X146 != X148 )
& ( X146 != X147 )
& ( 2 = b(X147) ) )
& ! [X157: $int,X156: $int,X158: $int] :
~ ( ( X156 != X158 )
& ( 5 = b(X158) )
& ( X157 != X158 )
& ( X156 != X157 )
& $less(X156,X158)
& ( 2 = b(X156) )
& ( 4 = a(X158) )
& ( 10 = a(X156) )
& ( 6 = a(X157) ) )
& ! [X233: $int,X234: $int,X232: $int] :
~ ( ( X233 != X234 )
& ( 8 = a(X233) )
& ( X232 != X234 )
& $less(X234,X232)
& ( 2 = a(X232) )
& ( 10 = a(X234) )
& $less(b(X234),3)
& ( 2 = b(X233) )
& ( X232 != X233 ) )
& ( z1 != z5 )
& ! [X125: $int,X126: $int,X124: $int] :
~ ( ( X124 != X125 )
& ( X125 != X126 )
& ( X124 != X126 )
& ( 2 = a(X124) )
& $less(X126,X124)
& $less(b(X125),4)
& ( 5 = b(X124) )
& ( 2 = b(X126) )
& ( 10 = a(X126) )
& ( 7 = a(X125) ) )
& ! [X9: $int,X8: $int,X10: $int,X11: $int] :
~ ( $less(b(X10),3)
& ( X9 != X11 )
& ( X9 != X10 )
& ( X8 != X9 )
& ( X8 != X10 )
& ( 5 = b(X8) )
& $less(X10,X11)
& ( 10 = a(X10) )
& ( 4 = a(X11) )
& ( 7 = a(X9) )
& ( 2 = b(X9) )
& ( X10 != X11 )
& ( X8 != X11 ) )
& ( z3 != z5 )
& ! [X141: $int,X140: $int,X142: $int] :
~ ( ( 5 = a(X141) )
& ( 2 = a(X142) )
& ( 5 = b(X142) )
& ( X140 != X141 )
& ( 10 = a(X140) )
& $less(X140,X142)
& ( X140 != X142 )
& ( 2 = b(X140) )
& ( X141 != X142 ) )
& ( z1 != z3 )
& ( z2 != z4 )
& ! [X149: $int,X151: $int,X152: $int,X150: $int] :
~ ( ( 2 = b(X151) )
& ( X150 != X152 )
& ( X150 != X151 )
& ( X149 != X152 )
& ( 10 = a(X152) )
& $less(b(X152),3)
& ( X149 != X151 )
& ( 7 = a(X151) )
& ( 12 = a(X149) )
& ( 5 = b(X150) )
& ( X151 != X152 )
& ( X149 != X150 )
& $less(X152,X149) )
& ! [X15: $int,X16: $int,X17: $int] :
~ ( ( X16 != X17 )
& ( 4 = a(X17) )
& $less(X16,X17)
& ( X15 != X16 )
& ( 5 = b(X17) )
& ( X15 != X17 )
& ( 10 = a(X16) )
& ( 7 = a(X15) )
& ( 2 = b(X16) ) )
& ! [X174: $int,X176: $int,X175: $int] :
~ ( $less(X175,X174)
& ( 8 = a(X176) )
& ( X174 != X176 )
& $less(b(X175),3)
& ( 10 = a(X175) )
& ( X175 != X176 )
& ( X174 != X175 )
& $less(b(X174),4)
& ( 3 = a(X174) )
& ( 2 = b(X176) ) )
& ! [X209: $int,X210: $int,X211: $int] :
~ ( ( 5 = b(X210) )
& $less(X211,X210)
& ( X210 != X211 )
& ( 12 = a(X210) )
& $less(b(X211),3)
& ( 2 = b(X209) )
& ( X209 != X210 )
& ( 7 = a(X209) )
& ( X209 != X211 )
& ( 10 = a(X211) ) )
& ! [X36: $int,X34: $int,X35: $int,X37: $int] :
~ ( ( X34 != X35 )
& ( 2 = b(X35) )
& ( X34 != X37 )
& ( 5 = b(X34) )
& ( X35 != X37 )
& ( 7 = a(X35) )
& $less(X37,X36)
& $less(b(X37),3)
& ( X35 != X36 )
& ( X36 != X37 )
& ( 10 = a(X37) )
& ( 2 = a(X36) )
& ( X34 != X36 ) )
& ! [X230: $int,X229: $int,X231: $int] :
~ ( $less(X230,X229)
& ( X229 != X231 )
& $less(b(X230),3)
& ( X230 != X231 )
& ( 10 = a(X230) )
& ( 7 = a(X229) )
& ( X229 != X230 )
& ( 8 = a(X231) ) )
& ! [X251: $int,X250: $int,X248: $int,X249: $int] :
~ ( ( X249 != X251 )
& ( X248 != X251 )
& $less(X249,X250)
& ( 8 = a(X251) )
& ( 10 = a(X249) )
& $less(b(X249),3)
& ( X248 != X250 )
& ( 2 = b(X248) )
& ( X249 != X250 )
& ( X250 != X251 )
& ( 4 = a(X250) )
& ( X248 != X249 ) )
& ! [X18: $int,X19: $int,X20: $int] :
~ ( ( 5 = a(X20) )
& ( X18 != X20 )
& ( X18 != X19 )
& ( X19 != X20 )
& ( 6 = a(X18) )
& ( 10 = a(X19) )
& $less(X19,X18)
& ( 5 = b(X18) )
& ( 2 = b(X19) ) )
& ! [X237: $int,X240: $int,X238: $int,X239: $int] :
~ ( ( 5 = b(X239) )
& $less(b(X240),3)
& ( X238 != X240 )
& ( X237 != X240 )
& ( 2 = b(X238) )
& ( 6 = a(X237) )
& ( 5 = a(X239) )
& ( X237 != X239 )
& ( X237 != X238 )
& ( X239 != X240 )
& ( 10 = a(X240) )
& $less(X240,X239)
& ( X238 != X239 ) )
& ! [X183: $int,X181: $int,X182: $int] :
~ ( ( 8 = a(X181) )
& ( X181 != X183 )
& ( X181 != X182 )
& $less(X183,X182)
& ( X182 != X183 )
& ( 2 = b(X183) )
& ( 10 = a(X183) )
& ( 5 = a(X182) ) )
& ( z4 != z5 )
& ! [X200: $int,X202: $int,X201: $int] :
~ ( ( X200 != X202 )
& ( 4 = a(X200) )
& $less(X202,X201)
& ( X201 != X202 )
& ( X200 != X201 )
& ( 2 = a(X201) )
& ( 2 = b(X202) )
& ( 10 = a(X202) )
& ( 5 = b(X201) ) )
& ! [X203: $int,X205: $int,X204: $int] :
~ ( ( X203 != X204 )
& ( 2 = b(X204) )
& ( 10 = a(X204) )
& ( X204 != X205 )
& $less(X204,X205)
& ( 4 = a(X205) )
& ( 5 = b(X205) )
& ( X203 != X205 )
& ( 4 = a(X203) ) )
& ! [X86: $int,X84: $int,X85: $int] :
~ ( ( X85 != X86 )
& ( 10 = a(X84) )
& $less(X84,X85)
& ( X84 != X86 )
& ( X84 != X85 )
& ( 1 = a(X85) )
& ( 2 = b(X84) )
& ( 6 = a(X86) )
& ( 5 = b(X85) ) )
& ! [X166: $int,X165: $int,X164: $int] :
~ ( ( X164 != X166 )
& ( 2 = b(X164) )
& ( X164 != X165 )
& $less(b(X165),3)
& $less(X165,X166)
& ( 12 = a(X166) )
& ( X165 != X166 )
& ( 8 = a(X164) )
& ( 10 = a(X165) ) )
& ! [X187: $int,X188: $int,X189: $int] :
~ ( $less(b(X189),3)
& ( 10 = a(X189) )
& ( 5 = a(X188) )
& ( 5 = b(X188) )
& ( 6 = a(X187) )
& ( X188 != X189 )
& ( 2 = b(X187) )
& $less(X189,X188)
& ( X187 != X188 )
& ( X187 != X189 ) )
& ! [X94: $int,X95: $int,X93: $int] :
~ ( $less(b(X94),3)
& ( X94 != X95 )
& ( X93 != X95 )
& ( 5 = b(X95) )
& ( 7 = a(X93) )
& ( X93 != X94 )
& $less(X94,X95)
& ( 6 = a(X95) )
& ( 10 = a(X94) ) )
& ! [X137: $int,X139: $int,X138: $int] :
~ ( $less(b(X138),4)
& ( 8 = a(X139) )
& ( 10 = a(X137) )
& ( X137 != X138 )
& ( X138 != X139 )
& $less(b(X139),4)
& ( 2 = b(X137) )
& $less(X137,X138)
& ( 3 = a(X138) )
& ( X137 != X139 ) )
& ! [X212: $int,X213: $int,X214: $int] :
~ ( ( X213 != X214 )
& ( 2 = b(X213) )
& ( 5 = b(X214) )
& $less(X212,X214)
& ( X212 != X213 )
& ( X212 != X214 )
& ( 10 = a(X212) )
& $less(b(X212),3)
& ( 5 = a(X214) )
& ( 7 = a(X213) ) )
& ! [X52: $int,X53: $int,X54: $int,X51: $int] :
~ ( ( X51 != X52 )
& ( X52 != X54 )
& ( 5 = b(X53) )
& ( 7 = a(X51) )
& ( X51 != X54 )
& $less(X52,X54)
& ( X52 != X53 )
& ( 3 = a(X54) )
& ( 10 = a(X52) )
& ( X51 != X53 )
& $less(b(X52),3)
& ( X53 != X54 )
& $less(b(X54),4)
& ( 2 = b(X51) ) )
& ! [X49: $int,X48: $int,X47: $int,X50: $int] :
~ ( ( 5 = b(X50) )
& ( X47 != X49 )
& ( 5 = a(X47) )
& ( X48 != X49 )
& ( X47 != X48 )
& ( 2 = b(X49) )
& ( X49 != X50 )
& $less(b(X48),3)
& ( X47 != X50 )
& $less(X48,X50)
& ( X48 != X50 )
& ( 10 = a(X48) )
& ( 7 = a(X50) ) )
& ! [X59: $int] :
( ~ $less(5,b(X59))
& ~ $less(b(X59),1) )
& ! [X227: $int,X226: $int,X225: $int,X228: $int] :
~ ( ( X225 != X226 )
& ( 1 = a(X225) )
& ( X225 != X227 )
& $less(b(X226),3)
& $less(X226,X227)
& ( X225 != X228 )
& ( 5 = b(X228) )
& ( 10 = a(X226) )
& ( X227 != X228 )
& ( X226 != X227 )
& ( X226 != X228 )
& ( 5 = a(X227) ) )
& ! [X29: $int,X27: $int,X28: $int] :
~ ( ( X27 != X29 )
& ( 2 = a(X29) )
& ( 2 = b(X27) )
& ( 10 = a(X27) )
& ( 5 = b(X29) )
& $less(X27,X29)
& ( 6 = a(X28) )
& ( X28 != X29 )
& ( X27 != X28 ) )
& ! [X21: $int,X23: $int,X22: $int] :
~ ( ( 4 = a(X22) )
& ( 7 = a(X21) )
& ( X22 != X23 )
& ( X21 != X23 )
& ( X21 != X22 )
& ( 2 = b(X23) )
& ( 10 = a(X23) )
& ( 5 = b(X21) )
& $less(X23,X21) )
& ! [X186: $int,X184: $int,X185: $int] :
~ ( ( X185 != X186 )
& ( 10 = a(X184) )
& ( 2 = b(X184) )
& ( X184 != X186 )
& ( 8 = a(X186) )
& ( X184 != X185 )
& $less(X184,X185)
& ( 4 = a(X185) ) )
& ! [X96: $int,X98: $int,X97: $int] :
~ ( ( 4 = a(X96) )
& ( X97 != X98 )
& ( X96 != X97 )
& ( 10 = a(X98) )
& ( 6 = a(X97) )
& ( X96 != X98 )
& ( 5 = b(X97) )
& ( 2 = b(X98) )
& $less(X98,X97) )
& ! [X196: $int,X197: $int,X198: $int,X199: $int] :
~ ( $less(X196,X197)
& ( X196 != X198 )
& ( X198 != X199 )
& ( 2 = a(X198) )
& ( X197 != X198 )
& $less(b(X196),3)
& ( X196 != X197 )
& ( X197 != X199 )
& ( X196 != X199 )
& ( 5 = b(X199) )
& ( 10 = a(X196) )
& ( 5 = a(X197) ) )
& ! [X57: $int,X58: $int,X55: $int,X56: $int] :
~ ( ( X55 != X57 )
& ( X55 != X58 )
& ( 2 = a(X57) )
& $less(b(X56),3)
& ( 5 = b(X58) )
& $less(X56,X55)
& ( X57 != X58 )
& ( X56 != X58 )
& ( 10 = a(X56) )
& ( X55 != X56 )
& ( X56 != X57 )
& ( 4 = a(X55) ) )
& ! [X80: $int,X78: $int,X79: $int,X77: $int] :
~ ( ( 5 = b(X80) )
& ( X78 != X80 )
& ( 2 = b(X78) )
& $less(b(X79),4)
& ( 7 = a(X79) )
& ( X77 != X79 )
& $less(X78,X77)
& ( 10 = a(X78) )
& ( X79 != X80 )
& ( X77 != X80 )
& ( 2 = a(X77) )
& ( X77 != X78 )
& ( X78 != X79 ) )
& ! [X0: $int,X3: $int,X2: $int,X1: $int] :
~ ( ( 10 = a(X2) )
& ( a(X3) = 2 )
& ( X1 != X2 )
& $less(X2,X0)
& ( a(X0) = 5 )
& ( X0 != X3 )
& ( X2 != X3 )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X3 )
& $less(b(X2),3)
& ( a(X1) = 8 ) )
& ! [X144: $int,X145: $int,X143: $int] :
~ ( $less(X144,X143)
& ( X143 != X145 )
& ( 5 = a(X145) )
& ( 5 = b(X143) )
& ( X143 != X144 )
& ( 2 = b(X144) )
& ( 7 = a(X143) )
& ( X144 != X145 )
& ( 10 = a(X144) ) )
& ! [X100: $int,X99: $int] :
~ ( ( X99 != X100 )
& $less(b(X100),3)
& ( 9 = a(X99) )
& $less(X100,X99)
& ( 10 = a(X100) ) )
& ! [X7: $int] :
( ~ $less(a(X7),1)
& ~ $less(12,a(X7)) )
& ! [X215: $int,X216: $int,X217: $int] :
~ ( ( 7 = a(X216) )
& ( X215 != X216 )
& ( X216 != X217 )
& $less(X217,X216)
& $less(b(X217),3)
& ( 6 = a(X215) )
& ( 5 = b(X216) )
& ( X215 != X217 )
& ( 10 = a(X217) ) )
& ! [X88: $int,X87: $int,X89: $int] :
~ ( $less(X89,X88)
& ( X88 != X89 )
& ( X87 != X89 )
& ( X87 != X88 )
& ( 5 = a(X88) )
& ( 10 = a(X89) )
& ( 5 = b(X87) )
& ( 2 = b(X89) ) )
& ! [X101: $int,X102: $int,X103: $int] :
~ ( ( 6 = a(X102) )
& ( X102 != X103 )
& ( X101 != X102 )
& $less(b(X101),3)
& ( X101 != X103 )
& ( 10 = a(X101) )
& $less(X101,X102)
& ( 8 = a(X103) ) )
& ! [X119: $int,X120: $int,X118: $int] :
~ ( ( X119 != X120 )
& $less(b(X120),3)
& ( 2 = b(X119) )
& ( 2 = a(X118) )
& ( 7 = a(X119) )
& ( 5 = b(X118) )
& ( X118 != X119 )
& ( X118 != X120 )
& ( 10 = a(X120) )
& $less(X120,X118) )
& ! [X134: $int,X136: $int,X135: $int] :
~ ( ( 2 = b(X136) )
& ( 6 = a(X135) )
& ( X135 != X136 )
& $less(X136,X134)
& ( 5 = a(X134) )
& ( 10 = a(X136) )
& ( X134 != X135 )
& ( X134 != X136 )
& ( 5 = b(X134) ) )
& ( z1 != z4 )
& ! [X33: $int,X30: $int,X31: $int,X32: $int] :
~ ( ( X31 != X32 )
& $less(X30,X33)
& ( X30 != X32 )
& ( X32 != X33 )
& ( X31 != X33 )
& ( 10 = a(X30) )
& ( X30 != X33 )
& ( 5 = b(X31) )
& $less(b(X30),3)
& ( 2 = b(X32) )
& ( X30 != X31 )
& ( 4 = a(X33) ) )
& ! [X104: $int,X105: $int,X106: $int] :
~ ( ( X104 != X106 )
& ( 10 = a(X104) )
& ( X105 != X106 )
& ( 2 = a(X105) )
& ( 2 = b(X104) )
& $less(b(X106),4)
& ( X104 != X105 )
& $less(X104,X105)
& ( 8 = a(X106) ) )
& ! [X195: $int,X193: $int,X194: $int] :
~ ( ( X193 != X195 )
& ( X194 != X195 )
& ( X193 != X194 )
& ( 2 = b(X194) )
& ( 10 = a(X194) )
& $less(X194,X193)
& $less(b(X195),4)
& ( 12 = a(X193) )
& ( 8 = a(X195) ) )
& ! [X236: $int,X235: $int] :
~ ( $less(b(X235),3)
& ( 10 = a(X235) )
& $less(X235,X236)
& ( X235 != X236 )
& ( 8 = a(X236) ) )
& ! [X246: $int,X244: $int,X245: $int,X247: $int] :
~ ( ( X245 != X247 )
& ( X244 != X247 )
& ( X246 != X247 )
& $less(b(X245),4)
& ( 10 = a(X246) )
& ( 5 = b(X247) )
& ( 7 = a(X245) )
& ( 1 = a(X244) )
& ( X245 != X246 )
& ( X244 != X245 )
& ( 2 = b(X246) )
& $less(X246,X244)
& ( X244 != X246 ) )
& ! [X45: $int,X44: $int,X46: $int] :
~ ( $less(X45,X46)
& ( X45 != X46 )
& ( 7 = a(X46) )
& ( 10 = a(X45) )
& ( 5 = b(X46) )
& $less(b(X45),3)
& ( 7 = a(X44) )
& ( X44 != X45 )
& ( X44 != X46 ) ) )
=> ~ ( ( b(z4) = 2 )
& $less(b(z2),3)
& ( a(z1) = 4 )
& ( a(z4) = 7 )
& ( b(z3) = 5 )
& ( a(z2) = 10 )
& $less(z2,z1) ) ),
inference(true_and_false_elimination,[],[f16]) ).
tff(f18,plain,
( ( b(z4) = 2 )
& $less(b(z2),3)
& ( a(z1) = 4 )
& ( a(z4) = 7 )
& ( b(z3) = 5 )
& ( a(z2) = 10 )
& $less(z2,z1)
& ! [X67: $int,X69: $int,X68: $int] :
( ( 5 != b(X68) )
| ( X67 = X68 )
| ( 10 != a(X69) )
| ( X67 = X69 )
| ( 2 != b(X69) )
| ~ $less(X69,X68)
| ( 1 != a(X68) )
| ( X68 = X69 )
| ( 5 != a(X67) ) )
& ! [X13: $int,X14: $int,X12: $int] :
( ( X12 = X13 )
| ( 5 != b(X12) )
| ~ $less(X13,X14)
| ~ $less(b(X13),3)
| ( 6 != a(X14) )
| ( 10 != a(X13) )
| ( X13 = X14 )
| ( X12 = X14 ) )
& ! [X173: $int,X172: $int,X171: $int] :
( ( 2 != b(X172) )
| ( X171 = X172 )
| ( 4 != a(X171) )
| ~ $less(X172,X171)
| ( 5 != b(X171) )
| ( 10 != a(X172) )
| ( X172 = X173 )
| ( X171 = X173 )
| ( 5 != a(X173) ) )
& ! [X4: $int,X5: $int,X6: $int] :
( ( 6 != a(X5) )
| ( X4 = X6 )
| ~ $less(X4,X5)
| ( X4 = X5 )
| ( 10 != a(X4) )
| ~ $less(b(X4),3)
| ( 6 != a(X6) )
| ( X5 = X6 )
| ( 5 != b(X5) ) )
& ! [X133: $int,X131: $int,X132: $int] :
( ( X132 = X133 )
| ( 5 != b(X133) )
| ( 10 != a(X132) )
| ( 7 != a(X131) )
| ( X131 = X132 )
| ( 2 != b(X131) )
| ( 4 != a(X133) )
| ( X131 = X133 )
| ~ $less(b(X132),3)
| ~ $less(X132,X133) )
& ! [X43: $int,X42: $int,X41: $int] :
( ( 5 != b(X43) )
| ( X41 = X43 )
| ~ $less(X41,X42)
| ( 7 != a(X42) )
| ~ $less(b(X41),3)
| ( X41 = X42 )
| ( X42 = X43 )
| ( 10 != a(X41) ) )
& ! [X91: $int,X92: $int,X90: $int] :
( ( 10 != a(X92) )
| ( 5 != b(X91) )
| ( X90 = X91 )
| ~ $less(X92,X91)
| ( X90 = X92 )
| ( 2 != b(X92) )
| ( 5 != a(X91) )
| ( 5 != a(X90) )
| ( X91 = X92 ) )
& ! [X168: $int,X169: $int,X170: $int,X167: $int] :
( ~ $less(X167,X168)
| ( 12 != a(X168) )
| ( X168 = X170 )
| ~ $less(b(X170),4)
| ( 2 != b(X167) )
| ( X168 = X169 )
| ( 7 != a(X170) )
| ( X167 = X168 )
| ( X167 = X169 )
| ( X167 = X170 )
| ( 10 != a(X167) )
| ( X169 = X170 )
| ( 5 != b(X169) ) )
& ! [X83: $int,X81: $int,X82: $int] :
( ( 8 != a(X82) )
| ~ $less(X83,X81)
| ( X81 = X82 )
| ~ $less(b(X83),3)
| ( X82 = X83 )
| ( 10 != a(X83) )
| ( X81 = X83 )
| ( 1 != a(X81) )
| ( 2 != b(X82) ) )
& ! [X243: $int,X242: $int,X241: $int] :
( ( X241 = X243 )
| ( 1 != a(X241) )
| ( 10 != a(X243) )
| ( X242 = X243 )
| ( 5 != b(X241) )
| ( 2 != b(X243) )
| ( X241 = X242 )
| ( 4 != a(X242) )
| ~ $less(X243,X241) )
& ! [X219: $int,X221: $int,X220: $int,X218: $int] :
( ( 10 != a(X219) )
| ~ $less(b(X219),3)
| ( X220 = X221 )
| ( X218 = X220 )
| ( 7 != a(X218) )
| ( 5 != b(X220) )
| ( X218 = X221 )
| ( 1 != a(X221) )
| ( X218 = X219 )
| ( X219 = X220 )
| ( 2 != b(X218) )
| ( X219 = X221 )
| ~ $less(X219,X221) )
& ! [X25: $int,X24: $int,X26: $int] :
( ( 10 != a(X25) )
| ( 4 != a(X24) )
| ( X24 = X25 )
| ~ $less(X25,X24)
| ( 2 != b(X25) )
| ( X24 = X26 )
| ( 5 != b(X26) )
| ( X25 = X26 ) )
& ( z2 != z5 )
& ! [X114: $int,X116: $int,X117: $int,X115: $int] :
( ( 2 != b(X117) )
| ( X114 = X117 )
| ( 7 != a(X115) )
| ~ $less(b(X116),3)
| ( X115 = X117 )
| ( 10 != a(X116) )
| ~ $less(X116,X114)
| ( X114 = X115 )
| ( 5 != b(X114) )
| ( X115 = X116 )
| ( X114 = X116 )
| ( X116 = X117 )
| ( 5 != a(X114) ) )
& ! [X128: $int,X130: $int,X127: $int,X129: $int] :
( ( X127 = X130 )
| ( X128 = X129 )
| ( 2 != b(X128) )
| ( 5 != a(X129) )
| ( 6 != a(X130) )
| ( 10 != a(X127) )
| ~ $less(X127,X130)
| ( X128 = X130 )
| ~ $less(b(X127),3)
| ( X127 = X128 )
| ( X127 = X129 )
| ( X129 = X130 )
| ( 5 != b(X130) ) )
& ! [X208: $int,X206: $int,X207: $int] :
( ( 5 != a(X206) )
| ( 10 != a(X208) )
| ( 2 != b(X208) )
| ( 5 != b(X206) )
| ( X206 = X208 )
| ( X206 = X207 )
| ( X207 = X208 )
| ( 4 != a(X207) )
| ~ $less(X208,X206) )
& ! [X66: $int,X63: $int,X64: $int,X65: $int] :
( ( X63 = X64 )
| ( 5 != a(X65) )
| ( X65 = X66 )
| ( X64 = X65 )
| ( 5 != b(X64) )
| ( 2 != b(X66) )
| ~ $less(X63,X65)
| ( X64 = X66 )
| ~ $less(b(X63),3)
| ( X63 = X65 )
| ( 10 != a(X63) )
| ( X63 = X66 ) )
& ! [X178: $int,X180: $int,X177: $int,X179: $int] :
( ~ $less(b(X180),4)
| ( X177 = X179 )
| ( X177 = X178 )
| ( X177 = X180 )
| ~ $less(b(X177),4)
| ( X178 = X179 )
| ( X179 = X180 )
| ( X178 = X180 )
| ( 10 != a(X178) )
| ( 7 != a(X180) )
| ( 5 != b(X179) )
| ( 3 != a(X177) )
| ( 2 != b(X178) )
| ~ $less(X178,X177) )
& ( z2 != z3 )
& ! [X224: $int,X222: $int,X223: $int] :
( ~ $less(X224,X223)
| ( 2 != b(X224) )
| ( 5 != b(X223) )
| ( 10 != a(X224) )
| ( X222 = X224 )
| ( 7 != a(X222) )
| ( X222 = X223 )
| ~ $less(b(X222),4)
| ( 1 != a(X223) )
| ( X223 = X224 ) )
& ! [X111: $int,X112: $int,X110: $int,X113: $int] :
( ( X112 = X113 )
| ( X110 = X112 )
| ( 5 != b(X111) )
| ( X110 = X111 )
| ( X110 = X113 )
| ( 10 != a(X110) )
| ( 2 != b(X113) )
| ( 5 != a(X113) )
| ( X111 = X112 )
| ~ $less(b(X110),3)
| ( 2 != b(X112) )
| ( 5 != a(X111) )
| ~ $less(X110,X111)
| ( X111 = X113 ) )
& ! [X123: $int,X122: $int,X121: $int] :
( ( X122 = X123 )
| ( 12 != a(X121) )
| ( X121 = X122 )
| ( X121 = X123 )
| ~ $less(X123,X121)
| ( 5 != b(X121) )
| ~ $less(b(X122),4)
| ( 10 != a(X123) )
| ( 7 != a(X122) )
| ( 2 != b(X123) ) )
& ! [X163: $int,X162: $int] :
( ( 10 != a(X163) )
| ( 10 != a(X162) )
| ( X162 = X163 ) )
& ! [X191: $int,X190: $int,X192: $int] :
( ( X190 = X191 )
| ( 7 != a(X192) )
| ~ $less(b(X191),3)
| ( 10 != a(X191) )
| ( X191 = X192 )
| ( 1 != a(X190) )
| ( X190 = X192 )
| ( 5 != b(X190) )
| ~ $less(X191,X190)
| ( 2 != b(X192) ) )
& ! [X72: $int,X70: $int,X73: $int,X71: $int] :
( ( 10 != a(X70) )
| ( X70 = X73 )
| ( X71 = X72 )
| ( X71 = X73 )
| ( X72 = X73 )
| ~ $less(X70,X71)
| ( X70 = X72 )
| ~ $less(b(X70),3)
| ( 8 != a(X73) )
| ( 2 != b(X72) )
| ( X70 = X71 )
| ( 5 != a(X71) ) )
& ! [X40: $int,X38: $int,X39: $int] :
( ( 8 != a(X40) )
| ( 10 != a(X38) )
| ( X38 = X40 )
| ~ $less(X38,X39)
| ( 5 != a(X39) )
| ~ $less(b(X38),3)
| ( X38 = X39 )
| ( 2 != b(X40) )
| ( X39 = X40 ) )
& ! [X108: $int,X107: $int,X109: $int] :
( ( 1 != a(X108) )
| ( 8 != a(X109) )
| ( X107 = X109 )
| ~ $less(b(X109),4)
| ( 2 != b(X107) )
| ( 10 != a(X107) )
| ( X107 = X108 )
| ( X108 = X109 )
| ~ $less(X107,X108) )
& ( z1 != z2 )
& ! [X154: $int,X153: $int,X155: $int] :
( ( X154 = X155 )
| ( 2 != b(X154) )
| ( 7 != a(X153) )
| ( 5 != b(X155) )
| ( 10 != a(X154) )
| ( X153 = X154 )
| ( X153 = X155 )
| ( 5 != a(X155) )
| ~ $less(X154,X155) )
& ! [X60: $int,X61: $int,X62: $int] :
( ( 6 != a(X62) )
| ( 12 != a(X60) )
| ( 5 != b(X60) )
| ( X61 = X62 )
| ~ $less(X61,X60)
| ( 2 != b(X61) )
| ( X60 = X62 )
| ( 10 != a(X61) )
| ( X60 = X61 ) )
& ! [X76: $int,X75: $int,X74: $int] :
( ( 10 != a(X76) )
| ( 8 != a(X74) )
| ( X74 = X76 )
| ( X74 = X75 )
| ~ $less(X76,X75)
| ( 2 != b(X74) )
| ( 4 != a(X75) )
| ~ $less(b(X76),3)
| ( X75 = X76 ) )
& ! [X160: $int,X161: $int,X159: $int] :
( ( 4 != a(X159) )
| ( 2 != b(X160) )
| ( 10 != a(X160) )
| ( 12 != a(X161) )
| ( X159 = X160 )
| ( 5 != b(X161) )
| ( X159 = X161 )
| ~ $less(X160,X161)
| ( X160 = X161 ) )
& ( z3 != z4 )
& ! [X148: $int,X147: $int,X146: $int] :
( ( X146 = X148 )
| ( 5 != a(X146) )
| ( 10 != a(X147) )
| ( 12 != a(X148) )
| ( 5 != b(X148) )
| ( X147 = X148 )
| ( X146 = X147 )
| ( 2 != b(X147) )
| ~ $less(X147,X148) )
& ! [X158: $int,X157: $int,X156: $int] :
( ( X156 = X158 )
| ( 2 != b(X156) )
| ( 4 != a(X158) )
| ( 6 != a(X157) )
| ~ $less(X156,X158)
| ( 10 != a(X156) )
| ( X157 = X158 )
| ( 5 != b(X158) )
| ( X156 = X157 ) )
& ! [X233: $int,X234: $int,X232: $int] :
( ( 2 != b(X233) )
| ( X232 = X234 )
| ~ $less(b(X234),3)
| ( X232 = X233 )
| ( 2 != a(X232) )
| ~ $less(X234,X232)
| ( 8 != a(X233) )
| ( 10 != a(X234) )
| ( X233 = X234 ) )
& ( z1 != z5 )
& ! [X126: $int,X124: $int,X125: $int] :
( ( 5 != b(X124) )
| ( X124 = X126 )
| ( 7 != a(X125) )
| ( 2 != a(X124) )
| ( X125 = X126 )
| ~ $less(X126,X124)
| ( 10 != a(X126) )
| ( X124 = X125 )
| ~ $less(b(X125),4)
| ( 2 != b(X126) ) )
& ! [X8: $int,X10: $int,X9: $int,X11: $int] :
( ( X8 = X11 )
| ( X9 = X10 )
| ( 7 != a(X9) )
| ( 5 != b(X8) )
| ( X9 = X11 )
| ( 4 != a(X11) )
| ~ $less(b(X10),3)
| ~ $less(X10,X11)
| ( X10 = X11 )
| ( 2 != b(X9) )
| ( X8 = X10 )
| ( 10 != a(X10) )
| ( X8 = X9 ) )
& ( z3 != z5 )
& ! [X141: $int,X140: $int,X142: $int] :
( ( 5 != b(X142) )
| ( 10 != a(X140) )
| ~ $less(X140,X142)
| ( 2 != a(X142) )
| ( 5 != a(X141) )
| ( 2 != b(X140) )
| ( X140 = X141 )
| ( X140 = X142 )
| ( X141 = X142 ) )
& ( z1 != z3 )
& ( z2 != z4 )
& ! [X150: $int,X152: $int,X151: $int,X149: $int] :
( ( X151 = X152 )
| ( 7 != a(X151) )
| ( 2 != b(X151) )
| ( X149 = X152 )
| ( 5 != b(X150) )
| ( 12 != a(X149) )
| ( X150 = X152 )
| ~ $less(X152,X149)
| ~ $less(b(X152),3)
| ( 10 != a(X152) )
| ( X149 = X151 )
| ( X149 = X150 )
| ( X150 = X151 ) )
& ! [X15: $int,X16: $int,X17: $int] :
( ( 7 != a(X15) )
| ( 10 != a(X16) )
| ( 2 != b(X16) )
| ( X15 = X16 )
| ~ $less(X16,X17)
| ( X16 = X17 )
| ( X15 = X17 )
| ( 4 != a(X17) )
| ( 5 != b(X17) ) )
& ! [X176: $int,X174: $int,X175: $int] :
( ( 8 != a(X176) )
| ( X174 = X176 )
| ~ $less(b(X174),4)
| ~ $less(X175,X174)
| ( 10 != a(X175) )
| ( X175 = X176 )
| ( 3 != a(X174) )
| ~ $less(b(X175),3)
| ( X174 = X175 )
| ( 2 != b(X176) ) )
& ! [X210: $int,X209: $int,X211: $int] :
( ( 10 != a(X211) )
| ( X210 = X211 )
| ( X209 = X211 )
| ~ $less(X211,X210)
| ( 2 != b(X209) )
| ( X209 = X210 )
| ( 12 != a(X210) )
| ( 7 != a(X209) )
| ( 5 != b(X210) )
| ~ $less(b(X211),3) )
& ! [X37: $int,X34: $int,X36: $int,X35: $int] :
( ( X34 = X35 )
| ( X36 = X37 )
| ( 2 != a(X36) )
| ~ $less(X37,X36)
| ( 7 != a(X35) )
| ( 2 != b(X35) )
| ( 5 != b(X34) )
| ~ $less(b(X37),3)
| ( 10 != a(X37) )
| ( X35 = X37 )
| ( X34 = X36 )
| ( X34 = X37 )
| ( X35 = X36 ) )
& ! [X231: $int,X229: $int,X230: $int] :
( ~ $less(X230,X229)
| ( 8 != a(X231) )
| ( X229 = X231 )
| ( X229 = X230 )
| ( X230 = X231 )
| ( 10 != a(X230) )
| ~ $less(b(X230),3)
| ( 7 != a(X229) ) )
& ! [X249: $int,X248: $int,X251: $int,X250: $int] :
( ( X249 = X251 )
| ( 8 != a(X251) )
| ~ $less(b(X249),3)
| ( X250 = X251 )
| ( X249 = X250 )
| ~ $less(X249,X250)
| ( X248 = X250 )
| ( 10 != a(X249) )
| ( X248 = X249 )
| ( X248 = X251 )
| ( 4 != a(X250) )
| ( 2 != b(X248) ) )
& ! [X19: $int,X20: $int,X18: $int] :
( ( X18 = X20 )
| ( 6 != a(X18) )
| ( 10 != a(X19) )
| ( X19 = X20 )
| ~ $less(X19,X18)
| ( X18 = X19 )
| ( 5 != b(X18) )
| ( 2 != b(X19) )
| ( 5 != a(X20) ) )
& ! [X238: $int,X240: $int,X237: $int,X239: $int] :
( ( 6 != a(X237) )
| ( 5 != b(X239) )
| ( X238 = X239 )
| ~ $less(b(X240),3)
| ( X237 = X239 )
| ( 5 != a(X239) )
| ~ $less(X240,X239)
| ( X239 = X240 )
| ( 10 != a(X240) )
| ( X237 = X238 )
| ( 2 != b(X238) )
| ( X238 = X240 )
| ( X237 = X240 ) )
& ! [X183: $int,X182: $int,X181: $int] :
( ( X182 = X183 )
| ( X181 = X182 )
| ( 8 != a(X181) )
| ( 5 != a(X182) )
| ( 2 != b(X183) )
| ~ $less(X183,X182)
| ( 10 != a(X183) )
| ( X181 = X183 ) )
& ( z4 != z5 )
& ! [X202: $int,X201: $int,X200: $int] :
( ( X200 = X202 )
| ( 5 != b(X201) )
| ( X201 = X202 )
| ~ $less(X202,X201)
| ( 10 != a(X202) )
| ( 2 != a(X201) )
| ( 2 != b(X202) )
| ( 4 != a(X200) )
| ( X200 = X201 ) )
& ! [X203: $int,X205: $int,X204: $int] :
( ( 4 != a(X203) )
| ( X203 = X204 )
| ( 2 != b(X204) )
| ~ $less(X204,X205)
| ( 5 != b(X205) )
| ( X204 = X205 )
| ( 10 != a(X204) )
| ( X203 = X205 )
| ( 4 != a(X205) ) )
& ! [X85: $int,X84: $int,X86: $int] :
( ( 5 != b(X85) )
| ( X84 = X86 )
| ( X85 = X86 )
| ( 2 != b(X84) )
| ( X84 = X85 )
| ( 10 != a(X84) )
| ( 6 != a(X86) )
| ( 1 != a(X85) )
| ~ $less(X84,X85) )
& ! [X164: $int,X166: $int,X165: $int] :
( ( 8 != a(X164) )
| ( X164 = X165 )
| ( X165 = X166 )
| ( 2 != b(X164) )
| ~ $less(X165,X166)
| ~ $less(b(X165),3)
| ( 12 != a(X166) )
| ( 10 != a(X165) )
| ( X164 = X166 ) )
& ! [X187: $int,X188: $int,X189: $int] :
( ( X188 = X189 )
| ( 2 != b(X187) )
| ( 10 != a(X189) )
| ~ $less(b(X189),3)
| ( X187 = X188 )
| ( 6 != a(X187) )
| ( 5 != a(X188) )
| ( X187 = X189 )
| ( 5 != b(X188) )
| ~ $less(X189,X188) )
& ! [X93: $int,X94: $int,X95: $int] :
( ( X93 = X95 )
| ( 6 != a(X95) )
| ( 5 != b(X95) )
| ( X93 = X94 )
| ~ $less(X94,X95)
| ( 7 != a(X93) )
| ( 10 != a(X94) )
| ~ $less(b(X94),3)
| ( X94 = X95 ) )
& ! [X138: $int,X139: $int,X137: $int] :
( ( 10 != a(X137) )
| ( 2 != b(X137) )
| ( X137 = X138 )
| ~ $less(X137,X138)
| ~ $less(b(X138),4)
| ( 8 != a(X139) )
| ( X137 = X139 )
| ( 3 != a(X138) )
| ( X138 = X139 )
| ~ $less(b(X139),4) )
& ! [X212: $int,X214: $int,X213: $int] :
( ( 5 != b(X214) )
| ( 2 != b(X213) )
| ( 10 != a(X212) )
| ~ $less(X212,X214)
| ~ $less(b(X212),3)
| ( X212 = X213 )
| ( X212 = X214 )
| ( 5 != a(X214) )
| ( 7 != a(X213) )
| ( X213 = X214 ) )
& ! [X54: $int,X53: $int,X51: $int,X52: $int] :
( ~ $less(b(X54),4)
| ( 7 != a(X51) )
| ( 5 != b(X53) )
| ( X51 = X53 )
| ( X52 = X54 )
| ( 3 != a(X54) )
| ( 2 != b(X51) )
| ( X53 = X54 )
| ( X52 = X53 )
| ~ $less(X52,X54)
| ~ $less(b(X52),3)
| ( X51 = X52 )
| ( X51 = X54 )
| ( 10 != a(X52) ) )
& ! [X47: $int,X50: $int,X49: $int,X48: $int] :
( ( 10 != a(X48) )
| ( X47 = X48 )
| ( X48 = X49 )
| ( X49 = X50 )
| ( 2 != b(X49) )
| ( 5 != a(X47) )
| ( 5 != b(X50) )
| ( X48 = X50 )
| ( X47 = X49 )
| ~ $less(b(X48),3)
| ( X47 = X50 )
| ~ $less(X48,X50)
| ( 7 != a(X50) ) )
& ! [X59: $int] :
( ~ $less(5,b(X59))
& ~ $less(b(X59),1) )
& ! [X227: $int,X228: $int,X225: $int,X226: $int] :
( ( X226 = X228 )
| ( 1 != a(X225) )
| ( X227 = X228 )
| ( 5 != b(X228) )
| ( X225 = X227 )
| ( 10 != a(X226) )
| ( 5 != a(X227) )
| ( X225 = X226 )
| ~ $less(X226,X227)
| ~ $less(b(X226),3)
| ( X226 = X227 )
| ( X225 = X228 ) )
& ! [X28: $int,X27: $int,X29: $int] :
( ( 6 != a(X28) )
| ( X27 = X28 )
| ~ $less(X27,X29)
| ( 2 != a(X29) )
| ( 10 != a(X27) )
| ( 2 != b(X27) )
| ( 5 != b(X29) )
| ( X28 = X29 )
| ( X27 = X29 ) )
& ! [X22: $int,X21: $int,X23: $int] :
( ( X22 = X23 )
| ( 2 != b(X23) )
| ( 7 != a(X21) )
| ( X21 = X22 )
| ( X21 = X23 )
| ~ $less(X23,X21)
| ( 10 != a(X23) )
| ( 5 != b(X21) )
| ( 4 != a(X22) ) )
& ! [X184: $int,X186: $int,X185: $int] :
( ( 10 != a(X184) )
| ~ $less(X184,X185)
| ( X184 = X185 )
| ( 2 != b(X184) )
| ( 4 != a(X185) )
| ( 8 != a(X186) )
| ( X185 = X186 )
| ( X184 = X186 ) )
& ! [X96: $int,X98: $int,X97: $int] :
( ( 5 != b(X97) )
| ( 6 != a(X97) )
| ( X97 = X98 )
| ~ $less(X98,X97)
| ( 10 != a(X98) )
| ( X96 = X97 )
| ( X96 = X98 )
| ( 2 != b(X98) )
| ( 4 != a(X96) ) )
& ! [X196: $int,X197: $int,X198: $int,X199: $int] :
( ( X196 = X198 )
| ( 2 != a(X198) )
| ( X198 = X199 )
| ( X196 = X197 )
| ( 5 != b(X199) )
| ( X197 = X198 )
| ( 5 != a(X197) )
| ~ $less(b(X196),3)
| ~ $less(X196,X197)
| ( X197 = X199 )
| ( 10 != a(X196) )
| ( X196 = X199 ) )
& ! [X55: $int,X58: $int,X57: $int,X56: $int] :
( ( 5 != b(X58) )
| ( X55 = X56 )
| ( 4 != a(X55) )
| ( X55 = X58 )
| ( 2 != a(X57) )
| ( X57 = X58 )
| ( X56 = X57 )
| ~ $less(X56,X55)
| ( X56 = X58 )
| ~ $less(b(X56),3)
| ( X55 = X57 )
| ( 10 != a(X56) ) )
& ! [X79: $int,X80: $int,X78: $int,X77: $int] :
( ( X77 = X80 )
| ~ $less(X78,X77)
| ( 2 != b(X78) )
| ( 5 != b(X80) )
| ( X78 = X80 )
| ( 7 != a(X79) )
| ( 10 != a(X78) )
| ( X77 = X78 )
| ( 2 != a(X77) )
| ( X79 = X80 )
| ( X78 = X79 )
| ( X77 = X79 )
| ~ $less(b(X79),4) )
& ! [X0: $int,X3: $int,X2: $int,X1: $int] :
( ( X1 = X2 )
| ( a(X1) != 8 )
| ( 2 != a(X3) )
| ( X1 = X3 )
| ( X2 = X3 )
| ( 10 != a(X2) )
| ~ $less(X2,X0)
| ( a(X0) != 5 )
| ( X0 = X1 )
| ( X0 = X3 )
| ( X0 = X2 )
| ~ $less(b(X2),3) )
& ! [X143: $int,X144: $int,X145: $int] :
( ( 10 != a(X144) )
| ( X143 = X145 )
| ( X143 = X144 )
| ( X144 = X145 )
| ~ $less(X144,X143)
| ( 5 != b(X143) )
| ( 7 != a(X143) )
| ( 2 != b(X144) )
| ( 5 != a(X145) ) )
& ! [X100: $int,X99: $int] :
( ( 10 != a(X100) )
| ( 9 != a(X99) )
| ~ $less(b(X100),3)
| ~ $less(X100,X99)
| ( X99 = X100 ) )
& ! [X7: $int] :
( ~ $less(a(X7),1)
& ~ $less(12,a(X7)) )
& ! [X216: $int,X215: $int,X217: $int] :
( ( 7 != a(X216) )
| ( 5 != b(X216) )
| ( 6 != a(X215) )
| ( X216 = X217 )
| ( X215 = X216 )
| ( 10 != a(X217) )
| ( X215 = X217 )
| ~ $less(b(X217),3)
| ~ $less(X217,X216) )
& ! [X89: $int,X87: $int,X88: $int] :
( ( 5 != b(X87) )
| ( 5 != a(X88) )
| ( X87 = X88 )
| ( X88 = X89 )
| ( 10 != a(X89) )
| ( X87 = X89 )
| ~ $less(X89,X88)
| ( 2 != b(X89) ) )
& ! [X102: $int,X101: $int,X103: $int] :
( ( X101 = X103 )
| ( 6 != a(X102) )
| ~ $less(b(X101),3)
| ( X102 = X103 )
| ( 8 != a(X103) )
| ( X101 = X102 )
| ( 10 != a(X101) )
| ~ $less(X101,X102) )
& ! [X120: $int,X118: $int,X119: $int] :
( ~ $less(b(X120),3)
| ~ $less(X120,X118)
| ( 10 != a(X120) )
| ( 2 != a(X118) )
| ( 5 != b(X118) )
| ( 2 != b(X119) )
| ( 7 != a(X119) )
| ( X118 = X119 )
| ( X119 = X120 )
| ( X118 = X120 ) )
& ! [X134: $int,X136: $int,X135: $int] :
( ~ $less(X136,X134)
| ( 5 != b(X134) )
| ( 10 != a(X136) )
| ( X134 = X136 )
| ( X134 = X135 )
| ( 2 != b(X136) )
| ( 5 != a(X134) )
| ( X135 = X136 )
| ( 6 != a(X135) ) )
& ( z1 != z4 )
& ! [X32: $int,X30: $int,X31: $int,X33: $int] :
( ( X30 = X31 )
| ( X32 = X33 )
| ( X31 = X33 )
| ( X30 = X33 )
| ( X30 = X32 )
| ~ $less(b(X30),3)
| ( 4 != a(X33) )
| ( X31 = X32 )
| ( 2 != b(X32) )
| ( 10 != a(X30) )
| ~ $less(X30,X33)
| ( 5 != b(X31) ) )
& ! [X104: $int,X106: $int,X105: $int] :
( ( 2 != a(X105) )
| ( 2 != b(X104) )
| ( X104 = X105 )
| ( X104 = X106 )
| ( 8 != a(X106) )
| ( 10 != a(X104) )
| ~ $less(b(X106),4)
| ~ $less(X104,X105)
| ( X105 = X106 ) )
& ! [X194: $int,X195: $int,X193: $int] :
( ( X193 = X195 )
| ~ $less(X194,X193)
| ( X194 = X195 )
| ( 2 != b(X194) )
| ( 12 != a(X193) )
| ( 10 != a(X194) )
| ~ $less(b(X195),4)
| ( X193 = X194 )
| ( 8 != a(X195) ) )
& ! [X235: $int,X236: $int] :
( ( 8 != a(X236) )
| ~ $less(b(X235),3)
| ( X235 = X236 )
| ( 10 != a(X235) )
| ~ $less(X235,X236) )
& ! [X245: $int,X247: $int,X246: $int,X244: $int] :
( ( 5 != b(X247) )
| ( X244 = X245 )
| ( X244 = X247 )
| ( X244 = X246 )
| ( X245 = X246 )
| ~ $less(X246,X244)
| ( 10 != a(X246) )
| ( 1 != a(X244) )
| ( 7 != a(X245) )
| ( X245 = X247 )
| ~ $less(b(X245),4)
| ( X246 = X247 )
| ( 2 != b(X246) ) )
& ! [X46: $int,X44: $int,X45: $int] :
( ~ $less(b(X45),3)
| ( X44 = X45 )
| ( 7 != a(X46) )
| ( X45 = X46 )
| ( 7 != a(X44) )
| ~ $less(X45,X46)
| ( 5 != b(X46) )
| ( 10 != a(X45) )
| ( X44 = X46 ) ) ),
inference(ennf_transformation,[],[f17]) ).
tff(f19,plain,
( ! [X47: $int,X50: $int,X49: $int,X48: $int] :
( ( 10 != a(X48) )
| ( X47 = X48 )
| ( X48 = X49 )
| ( X49 = X50 )
| ( 2 != b(X49) )
| ( 5 != a(X47) )
| ( 5 != b(X50) )
| ( X48 = X50 )
| ( X47 = X49 )
| ~ $less(b(X48),3)
| ( X47 = X50 )
| ~ $less(X48,X50)
| ( 7 != a(X50) ) )
& ! [X37: $int,X34: $int,X36: $int,X35: $int] :
( ( X34 = X35 )
| ( X36 = X37 )
| ( 2 != a(X36) )
| ~ $less(X37,X36)
| ( 7 != a(X35) )
| ( 2 != b(X35) )
| ( 5 != b(X34) )
| ~ $less(b(X37),3)
| ( 10 != a(X37) )
| ( X35 = X37 )
| ( X34 = X36 )
| ( X34 = X37 )
| ( X35 = X36 ) )
& ! [X178: $int,X180: $int,X177: $int,X179: $int] :
( ~ $less(b(X180),4)
| ( X177 = X179 )
| ( X177 = X178 )
| ( X177 = X180 )
| ~ $less(b(X177),4)
| ( X178 = X179 )
| ( X179 = X180 )
| ( X178 = X180 )
| ( 10 != a(X178) )
| ( 7 != a(X180) )
| ( 5 != b(X179) )
| ( 3 != a(X177) )
| ( 2 != b(X178) )
| ~ $less(X178,X177) )
& ( z2 != z4 )
& ! [X72: $int,X70: $int,X73: $int,X71: $int] :
( ( 10 != a(X70) )
| ( X70 = X73 )
| ( X71 = X72 )
| ( X71 = X73 )
| ( X72 = X73 )
| ~ $less(X70,X71)
| ( X70 = X72 )
| ~ $less(b(X70),3)
| ( 8 != a(X73) )
| ( 2 != b(X72) )
| ( X70 = X71 )
| ( 5 != a(X71) ) )
& ! [X154: $int,X153: $int,X155: $int] :
( ( X154 = X155 )
| ( 2 != b(X154) )
| ( 7 != a(X153) )
| ( 5 != b(X155) )
| ( 10 != a(X154) )
| ( X153 = X154 )
| ( X153 = X155 )
| ( 5 != a(X155) )
| ~ $less(X154,X155) )
& ! [X212: $int,X214: $int,X213: $int] :
( ( 5 != b(X214) )
| ( 2 != b(X213) )
| ( 10 != a(X212) )
| ~ $less(X212,X214)
| ~ $less(b(X212),3)
| ( X212 = X213 )
| ( X212 = X214 )
| ( 5 != a(X214) )
| ( 7 != a(X213) )
| ( X213 = X214 ) )
& ! [X83: $int,X81: $int,X82: $int] :
( ( 8 != a(X82) )
| ~ $less(X83,X81)
| ( X81 = X82 )
| ~ $less(b(X83),3)
| ( X82 = X83 )
| ( 10 != a(X83) )
| ( X81 = X83 )
| ( 1 != a(X81) )
| ( 2 != b(X82) ) )
& ! [X85: $int,X84: $int,X86: $int] :
( ( 5 != b(X85) )
| ( X84 = X86 )
| ( X85 = X86 )
| ( 2 != b(X84) )
| ( X84 = X85 )
| ( 10 != a(X84) )
| ( 6 != a(X86) )
| ( 1 != a(X85) )
| ~ $less(X84,X85) )
& ( z3 != z4 )
& ! [X60: $int,X61: $int,X62: $int] :
( ( 6 != a(X62) )
| ( 12 != a(X60) )
| ( 5 != b(X60) )
| ( X61 = X62 )
| ~ $less(X61,X60)
| ( 2 != b(X61) )
| ( X60 = X62 )
| ( 10 != a(X61) )
| ( X60 = X61 ) )
& ( z1 != z2 )
& ! [X202: $int,X201: $int,X200: $int] :
( ( X200 = X202 )
| ( 5 != b(X201) )
| ( X201 = X202 )
| ~ $less(X202,X201)
| ( 10 != a(X202) )
| ( 2 != a(X201) )
| ( 2 != b(X202) )
| ( 4 != a(X200) )
| ( X200 = X201 ) )
& ! [X93: $int,X94: $int,X95: $int] :
( ( X93 = X95 )
| ( 6 != a(X95) )
| ( 5 != b(X95) )
| ( X93 = X94 )
| ~ $less(X94,X95)
| ( 7 != a(X93) )
| ( 10 != a(X94) )
| ~ $less(b(X94),3)
| ( X94 = X95 ) )
& ( z4 != z5 )
& ! [X238: $int,X240: $int,X237: $int,X239: $int] :
( ( 6 != a(X237) )
| ( 5 != b(X239) )
| ( X238 = X239 )
| ~ $less(b(X240),3)
| ( X237 = X239 )
| ( 5 != a(X239) )
| ~ $less(X240,X239)
| ( X239 = X240 )
| ( 10 != a(X240) )
| ( X237 = X238 )
| ( 2 != b(X238) )
| ( X238 = X240 )
| ( X237 = X240 ) )
& ! [X160: $int,X161: $int,X159: $int] :
( ( 4 != a(X159) )
| ( 2 != b(X160) )
| ( 10 != a(X160) )
| ( 12 != a(X161) )
| ( X159 = X160 )
| ( 5 != b(X161) )
| ( X159 = X161 )
| ~ $less(X160,X161)
| ( X160 = X161 ) )
& ! [X183: $int,X182: $int,X181: $int] :
( ( X182 = X183 )
| ( X181 = X182 )
| ( 8 != a(X181) )
| ( 5 != a(X182) )
| ( 2 != b(X183) )
| ~ $less(X183,X182)
| ( 10 != a(X183) )
| ( X181 = X183 ) )
& ! [X66: $int,X63: $int,X64: $int,X65: $int] :
( ( X63 = X64 )
| ( 5 != a(X65) )
| ( X65 = X66 )
| ( X64 = X65 )
| ( 5 != b(X64) )
| ( 2 != b(X66) )
| ~ $less(X63,X65)
| ( X64 = X66 )
| ~ $less(b(X63),3)
| ( X63 = X65 )
| ( 10 != a(X63) )
| ( X63 = X66 ) )
& ! [X13: $int,X14: $int,X12: $int] :
( ( X12 = X13 )
| ( 5 != b(X12) )
| ~ $less(X13,X14)
| ~ $less(b(X13),3)
| ( 6 != a(X14) )
| ( 10 != a(X13) )
| ( X13 = X14 )
| ( X12 = X14 ) )
& $less(b(z2),3)
& ! [X243: $int,X242: $int,X241: $int] :
( ( X241 = X243 )
| ( 1 != a(X241) )
| ( 10 != a(X243) )
| ( X242 = X243 )
| ( 5 != b(X241) )
| ( 2 != b(X243) )
| ( X241 = X242 )
| ( 4 != a(X242) )
| ~ $less(X243,X241) )
& ( b(z3) = 5 )
& ! [X40: $int,X38: $int,X39: $int] :
( ( 8 != a(X40) )
| ( 10 != a(X38) )
| ( X38 = X40 )
| ~ $less(X38,X39)
| ( 5 != a(X39) )
| ~ $less(b(X38),3)
| ( X38 = X39 )
| ( 2 != b(X40) )
| ( X39 = X40 ) )
& ! [X55: $int,X58: $int,X57: $int,X56: $int] :
( ( 5 != b(X58) )
| ( X55 = X56 )
| ( 4 != a(X55) )
| ( X55 = X58 )
| ( 2 != a(X57) )
| ( X57 = X58 )
| ( X56 = X57 )
| ~ $less(X56,X55)
| ( X56 = X58 )
| ~ $less(b(X56),3)
| ( X55 = X57 )
| ( 10 != a(X56) ) )
& ! [X126: $int,X124: $int,X125: $int] :
( ( 5 != b(X124) )
| ( X124 = X126 )
| ( 7 != a(X125) )
| ( 2 != a(X124) )
| ( X125 = X126 )
| ~ $less(X126,X124)
| ( 10 != a(X126) )
| ( X124 = X125 )
| ~ $less(b(X125),4)
| ( 2 != b(X126) ) )
& ! [X67: $int,X69: $int,X68: $int] :
( ( 5 != b(X68) )
| ( X67 = X68 )
| ( 10 != a(X69) )
| ( X67 = X69 )
| ( 2 != b(X69) )
| ~ $less(X69,X68)
| ( 1 != a(X68) )
| ( X68 = X69 )
| ( 5 != a(X67) ) )
& ! [X46: $int,X44: $int,X45: $int] :
( ~ $less(b(X45),3)
| ( X44 = X45 )
| ( 7 != a(X46) )
| ( X45 = X46 )
| ( 7 != a(X44) )
| ~ $less(X45,X46)
| ( 5 != b(X46) )
| ( 10 != a(X45) )
| ( X44 = X46 ) )
& ! [X150: $int,X152: $int,X151: $int,X149: $int] :
( ( X151 = X152 )
| ( 7 != a(X151) )
| ( 2 != b(X151) )
| ( X149 = X152 )
| ( 5 != b(X150) )
| ( 12 != a(X149) )
| ( X150 = X152 )
| ~ $less(X152,X149)
| ~ $less(b(X152),3)
| ( 10 != a(X152) )
| ( X149 = X151 )
| ( X149 = X150 )
| ( X150 = X151 ) )
& $less(z2,z1)
& ! [X134: $int,X136: $int,X135: $int] :
( ~ $less(X136,X134)
| ( 5 != b(X134) )
| ( 10 != a(X136) )
| ( X134 = X136 )
| ( X134 = X135 )
| ( 2 != b(X136) )
| ( 5 != a(X134) )
| ( X135 = X136 )
| ( 6 != a(X135) ) )
& ! [X224: $int,X222: $int,X223: $int] :
( ~ $less(X224,X223)
| ( 2 != b(X224) )
| ( 5 != b(X223) )
| ( 10 != a(X224) )
| ( X222 = X224 )
| ( 7 != a(X222) )
| ( X222 = X223 )
| ~ $less(b(X222),4)
| ( 1 != a(X223) )
| ( X223 = X224 ) )
& ( z2 != z5 )
& ! [X100: $int,X99: $int] :
( ( 10 != a(X100) )
| ( 9 != a(X99) )
| ~ $less(b(X100),3)
| ~ $less(X100,X99)
| ( X99 = X100 ) )
& ! [X138: $int,X139: $int,X137: $int] :
( ( 10 != a(X137) )
| ( 2 != b(X137) )
| ( X137 = X138 )
| ~ $less(X137,X138)
| ~ $less(b(X138),4)
| ( 8 != a(X139) )
| ( X137 = X139 )
| ( 3 != a(X138) )
| ( X138 = X139 )
| ~ $less(b(X139),4) )
& ! [X173: $int,X172: $int,X171: $int] :
( ( 2 != b(X172) )
| ( X171 = X172 )
| ( 4 != a(X171) )
| ~ $less(X172,X171)
| ( 5 != b(X171) )
| ( 10 != a(X172) )
| ( X172 = X173 )
| ( X171 = X173 )
| ( 5 != a(X173) ) )
& ! [X32: $int,X30: $int,X31: $int,X33: $int] :
( ( X30 = X31 )
| ( X32 = X33 )
| ( X31 = X33 )
| ( X30 = X33 )
| ( X30 = X32 )
| ~ $less(b(X30),3)
| ( 4 != a(X33) )
| ( X31 = X32 )
| ( 2 != b(X32) )
| ( 10 != a(X30) )
| ~ $less(X30,X33)
| ( 5 != b(X31) ) )
& ! [X168: $int,X169: $int,X170: $int,X167: $int] :
( ~ $less(X167,X168)
| ( 12 != a(X168) )
| ( X168 = X170 )
| ~ $less(b(X170),4)
| ( 2 != b(X167) )
| ( X168 = X169 )
| ( 7 != a(X170) )
| ( X167 = X168 )
| ( X167 = X169 )
| ( X167 = X170 )
| ( 10 != a(X167) )
| ( X169 = X170 )
| ( 5 != b(X169) ) )
& ! [X227: $int,X228: $int,X225: $int,X226: $int] :
( ( X226 = X228 )
| ( 1 != a(X225) )
| ( X227 = X228 )
| ( 5 != b(X228) )
| ( X225 = X227 )
| ( 10 != a(X226) )
| ( 5 != a(X227) )
| ( X225 = X226 )
| ~ $less(X226,X227)
| ~ $less(b(X226),3)
| ( X226 = X227 )
| ( X225 = X228 ) )
& ! [X148: $int,X147: $int,X146: $int] :
( ( X146 = X148 )
| ( 5 != a(X146) )
| ( 10 != a(X147) )
| ( 12 != a(X148) )
| ( 5 != b(X148) )
| ( X147 = X148 )
| ( X146 = X147 )
| ( 2 != b(X147) )
| ~ $less(X147,X148) )
& ! [X128: $int,X130: $int,X127: $int,X129: $int] :
( ( X127 = X130 )
| ( X128 = X129 )
| ( 2 != b(X128) )
| ( 5 != a(X129) )
| ( 6 != a(X130) )
| ( 10 != a(X127) )
| ~ $less(X127,X130)
| ( X128 = X130 )
| ~ $less(b(X127),3)
| ( X127 = X128 )
| ( X127 = X129 )
| ( X129 = X130 )
| ( 5 != b(X130) ) )
& ! [X104: $int,X106: $int,X105: $int] :
( ( 2 != a(X105) )
| ( 2 != b(X104) )
| ( X104 = X105 )
| ( X104 = X106 )
| ( 8 != a(X106) )
| ( 10 != a(X104) )
| ~ $less(b(X106),4)
| ~ $less(X104,X105)
| ( X105 = X106 ) )
& ! [X15: $int,X16: $int,X17: $int] :
( ( 7 != a(X15) )
| ( 10 != a(X16) )
| ( 2 != b(X16) )
| ( X15 = X16 )
| ~ $less(X16,X17)
| ( X16 = X17 )
| ( X15 = X17 )
| ( 4 != a(X17) )
| ( 5 != b(X17) ) )
& ( z1 != z4 )
& ! [X89: $int,X87: $int,X88: $int] :
( ( 5 != b(X87) )
| ( 5 != a(X88) )
| ( X87 = X88 )
| ( X88 = X89 )
| ( 10 != a(X89) )
| ( X87 = X89 )
| ~ $less(X89,X88)
| ( 2 != b(X89) ) )
& ! [X25: $int,X24: $int,X26: $int] :
( ( 10 != a(X25) )
| ( 4 != a(X24) )
| ( X24 = X25 )
| ~ $less(X25,X24)
| ( 2 != b(X25) )
| ( X24 = X26 )
| ( 5 != b(X26) )
| ( X25 = X26 ) )
& ! [X245: $int,X247: $int,X246: $int,X244: $int] :
( ( 5 != b(X247) )
| ( X244 = X245 )
| ( X244 = X247 )
| ( X244 = X246 )
| ( X245 = X246 )
| ~ $less(X246,X244)
| ( 10 != a(X246) )
| ( 1 != a(X244) )
| ( 7 != a(X245) )
| ( X245 = X247 )
| ~ $less(b(X245),4)
| ( X246 = X247 )
| ( 2 != b(X246) ) )
& ! [X91: $int,X92: $int,X90: $int] :
( ( 10 != a(X92) )
| ( 5 != b(X91) )
| ( X90 = X91 )
| ~ $less(X92,X91)
| ( X90 = X92 )
| ( 2 != b(X92) )
| ( 5 != a(X91) )
| ( 5 != a(X90) )
| ( X91 = X92 ) )
& ! [X133: $int,X131: $int,X132: $int] :
( ( X132 = X133 )
| ( 5 != b(X133) )
| ( 10 != a(X132) )
| ( 7 != a(X131) )
| ( X131 = X132 )
| ( 2 != b(X131) )
| ( 4 != a(X133) )
| ( X131 = X133 )
| ~ $less(b(X132),3)
| ~ $less(X132,X133) )
& ! [X28: $int,X27: $int,X29: $int] :
( ( 6 != a(X28) )
| ( X27 = X28 )
| ~ $less(X27,X29)
| ( 2 != a(X29) )
| ( 10 != a(X27) )
| ( 2 != b(X27) )
| ( 5 != b(X29) )
| ( X28 = X29 )
| ( X27 = X29 ) )
& ! [X102: $int,X101: $int,X103: $int] :
( ( X101 = X103 )
| ( 6 != a(X102) )
| ~ $less(b(X101),3)
| ( X102 = X103 )
| ( 8 != a(X103) )
| ( X101 = X102 )
| ( 10 != a(X101) )
| ~ $less(X101,X102) )
& ! [X187: $int,X188: $int,X189: $int] :
( ( X188 = X189 )
| ( 2 != b(X187) )
| ( 10 != a(X189) )
| ~ $less(b(X189),3)
| ( X187 = X188 )
| ( 6 != a(X187) )
| ( 5 != a(X188) )
| ( X187 = X189 )
| ( 5 != b(X188) )
| ~ $less(X189,X188) )
& ! [X123: $int,X122: $int,X121: $int] :
( ( X122 = X123 )
| ( 12 != a(X121) )
| ( X121 = X122 )
| ( X121 = X123 )
| ~ $less(X123,X121)
| ( 5 != b(X121) )
| ~ $less(b(X122),4)
| ( 10 != a(X123) )
| ( 7 != a(X122) )
| ( 2 != b(X123) ) )
& ! [X120: $int,X118: $int,X119: $int] :
( ~ $less(b(X120),3)
| ~ $less(X120,X118)
| ( 10 != a(X120) )
| ( 2 != a(X118) )
| ( 5 != b(X118) )
| ( 2 != b(X119) )
| ( 7 != a(X119) )
| ( X118 = X119 )
| ( X119 = X120 )
| ( X118 = X120 ) )
& ! [X114: $int,X116: $int,X117: $int,X115: $int] :
( ( 2 != b(X117) )
| ( X114 = X117 )
| ( 7 != a(X115) )
| ~ $less(b(X116),3)
| ( X115 = X117 )
| ( 10 != a(X116) )
| ~ $less(X116,X114)
| ( X114 = X115 )
| ( 5 != b(X114) )
| ( X115 = X116 )
| ( X114 = X116 )
| ( X116 = X117 )
| ( 5 != a(X114) ) )
& ( a(z1) = 4 )
& ! [X76: $int,X75: $int,X74: $int] :
( ( 10 != a(X76) )
| ( 8 != a(X74) )
| ( X74 = X76 )
| ( X74 = X75 )
| ~ $less(X76,X75)
| ( 2 != b(X74) )
| ( 4 != a(X75) )
| ~ $less(b(X76),3)
| ( X75 = X76 ) )
& ( b(z4) = 2 )
& ( a(z4) = 7 )
& ! [X143: $int,X144: $int,X145: $int] :
( ( 10 != a(X144) )
| ( X143 = X145 )
| ( X143 = X144 )
| ( X144 = X145 )
| ~ $less(X144,X143)
| ( 5 != b(X143) )
| ( 7 != a(X143) )
| ( 2 != b(X144) )
| ( 5 != a(X145) ) )
& ! [X141: $int,X140: $int,X142: $int] :
( ( 5 != b(X142) )
| ( 10 != a(X140) )
| ~ $less(X140,X142)
| ( 2 != a(X142) )
| ( 5 != a(X141) )
| ( 2 != b(X140) )
| ( X140 = X141 )
| ( X140 = X142 )
| ( X141 = X142 ) )
& ! [X203: $int,X205: $int,X204: $int] :
( ( 4 != a(X203) )
| ( X203 = X204 )
| ( 2 != b(X204) )
| ~ $less(X204,X205)
| ( 5 != b(X205) )
| ( X204 = X205 )
| ( 10 != a(X204) )
| ( X203 = X205 )
| ( 4 != a(X205) ) )
& ! [X216: $int,X215: $int,X217: $int] :
( ( 7 != a(X216) )
| ( 5 != b(X216) )
| ( 6 != a(X215) )
| ( X216 = X217 )
| ( X215 = X216 )
| ( 10 != a(X217) )
| ( X215 = X217 )
| ~ $less(b(X217),3)
| ~ $less(X217,X216) )
& ! [X108: $int,X107: $int,X109: $int] :
( ( 1 != a(X108) )
| ( 8 != a(X109) )
| ( X107 = X109 )
| ~ $less(b(X109),4)
| ( 2 != b(X107) )
| ( 10 != a(X107) )
| ( X107 = X108 )
| ( X108 = X109 )
| ~ $less(X107,X108) )
& ! [X19: $int,X20: $int,X18: $int] :
( ( X18 = X20 )
| ( 6 != a(X18) )
| ( 10 != a(X19) )
| ( X19 = X20 )
| ~ $less(X19,X18)
| ( X18 = X19 )
| ( 5 != b(X18) )
| ( 2 != b(X19) )
| ( 5 != a(X20) ) )
& ! [X111: $int,X112: $int,X110: $int,X113: $int] :
( ( X112 = X113 )
| ( X110 = X112 )
| ( 5 != b(X111) )
| ( X110 = X111 )
| ( X110 = X113 )
| ( 10 != a(X110) )
| ( 2 != b(X113) )
| ( 5 != a(X113) )
| ( X111 = X112 )
| ~ $less(b(X110),3)
| ( 2 != b(X112) )
| ( 5 != a(X111) )
| ~ $less(X110,X111)
| ( X111 = X113 ) )
& ! [X235: $int,X236: $int] :
( ( 8 != a(X236) )
| ~ $less(b(X235),3)
| ( X235 = X236 )
| ( 10 != a(X235) )
| ~ $less(X235,X236) )
& ! [X219: $int,X221: $int,X220: $int,X218: $int] :
( ( 10 != a(X219) )
| ~ $less(b(X219),3)
| ( X220 = X221 )
| ( X218 = X220 )
| ( 7 != a(X218) )
| ( 5 != b(X220) )
| ( X218 = X221 )
| ( 1 != a(X221) )
| ( X218 = X219 )
| ( X219 = X220 )
| ( 2 != b(X218) )
| ( X219 = X221 )
| ~ $less(X219,X221) )
& ! [X8: $int,X10: $int,X9: $int,X11: $int] :
( ( X8 = X11 )
| ( X9 = X10 )
| ( 7 != a(X9) )
| ( 5 != b(X8) )
| ( X9 = X11 )
| ( 4 != a(X11) )
| ~ $less(b(X10),3)
| ~ $less(X10,X11)
| ( X10 = X11 )
| ( 2 != b(X9) )
| ( X8 = X10 )
| ( 10 != a(X10) )
| ( X8 = X9 ) )
& ! [X0: $int,X3: $int,X2: $int,X1: $int] :
( ( X1 = X2 )
| ( a(X1) != 8 )
| ( 2 != a(X3) )
| ( X1 = X3 )
| ( X2 = X3 )
| ( 10 != a(X2) )
| ~ $less(X2,X0)
| ( a(X0) != 5 )
| ( X0 = X1 )
| ( X0 = X3 )
| ( X0 = X2 )
| ~ $less(b(X2),3) )
& ! [X194: $int,X195: $int,X193: $int] :
( ( X193 = X195 )
| ~ $less(X194,X193)
| ( X194 = X195 )
| ( 2 != b(X194) )
| ( 12 != a(X193) )
| ( 10 != a(X194) )
| ~ $less(b(X195),4)
| ( X193 = X194 )
| ( 8 != a(X195) ) )
& ! [X43: $int,X42: $int,X41: $int] :
( ( 5 != b(X43) )
| ( X41 = X43 )
| ~ $less(X41,X42)
| ( 7 != a(X42) )
| ~ $less(b(X41),3)
| ( X41 = X42 )
| ( X42 = X43 )
| ( 10 != a(X41) ) )
& ! [X4: $int,X5: $int,X6: $int] :
( ( 6 != a(X5) )
| ( X4 = X6 )
| ~ $less(X4,X5)
| ( X4 = X5 )
| ( 10 != a(X4) )
| ~ $less(b(X4),3)
| ( 6 != a(X6) )
| ( X5 = X6 )
| ( 5 != b(X5) ) )
& ( z1 != z3 )
& ! [X196: $int,X197: $int,X198: $int,X199: $int] :
( ( X196 = X198 )
| ( 2 != a(X198) )
| ( X198 = X199 )
| ( X196 = X197 )
| ( 5 != b(X199) )
| ( X197 = X198 )
| ( 5 != a(X197) )
| ~ $less(b(X196),3)
| ~ $less(X196,X197)
| ( X197 = X199 )
| ( 10 != a(X196) )
| ( X196 = X199 ) )
& ! [X208: $int,X206: $int,X207: $int] :
( ( 5 != a(X206) )
| ( 10 != a(X208) )
| ( 2 != b(X208) )
| ( 5 != b(X206) )
| ( X206 = X208 )
| ( X206 = X207 )
| ( X207 = X208 )
| ( 4 != a(X207) )
| ~ $less(X208,X206) )
& ( z2 != z3 )
& ( z3 != z5 )
& ! [X79: $int,X80: $int,X78: $int,X77: $int] :
( ( X77 = X80 )
| ~ $less(X78,X77)
| ( 2 != b(X78) )
| ( 5 != b(X80) )
| ( X78 = X80 )
| ( 7 != a(X79) )
| ( 10 != a(X78) )
| ( X77 = X78 )
| ( 2 != a(X77) )
| ( X79 = X80 )
| ( X78 = X79 )
| ( X77 = X79 )
| ~ $less(b(X79),4) )
& ! [X96: $int,X98: $int,X97: $int] :
( ( 5 != b(X97) )
| ( 6 != a(X97) )
| ( X97 = X98 )
| ~ $less(X98,X97)
| ( 10 != a(X98) )
| ( X96 = X97 )
| ( X96 = X98 )
| ( 2 != b(X98) )
| ( 4 != a(X96) ) )
& ! [X59: $int] :
( ~ $less(5,b(X59))
& ~ $less(b(X59),1) )
& ! [X176: $int,X174: $int,X175: $int] :
( ( 8 != a(X176) )
| ( X174 = X176 )
| ~ $less(b(X174),4)
| ~ $less(X175,X174)
| ( 10 != a(X175) )
| ( X175 = X176 )
| ( 3 != a(X174) )
| ~ $less(b(X175),3)
| ( X174 = X175 )
| ( 2 != b(X176) ) )
& ! [X164: $int,X166: $int,X165: $int] :
( ( 8 != a(X164) )
| ( X164 = X165 )
| ( X165 = X166 )
| ( 2 != b(X164) )
| ~ $less(X165,X166)
| ~ $less(b(X165),3)
| ( 12 != a(X166) )
| ( 10 != a(X165) )
| ( X164 = X166 ) )
& ! [X7: $int] :
( ~ $less(a(X7),1)
& ~ $less(12,a(X7)) )
& ! [X22: $int,X21: $int,X23: $int] :
( ( X22 = X23 )
| ( 2 != b(X23) )
| ( 7 != a(X21) )
| ( X21 = X22 )
| ( X21 = X23 )
| ~ $less(X23,X21)
| ( 10 != a(X23) )
| ( 5 != b(X21) )
| ( 4 != a(X22) ) )
& ( z1 != z5 )
& ! [X233: $int,X234: $int,X232: $int] :
( ( 2 != b(X233) )
| ( X232 = X234 )
| ~ $less(b(X234),3)
| ( X232 = X233 )
| ( 2 != a(X232) )
| ~ $less(X234,X232)
| ( 8 != a(X233) )
| ( 10 != a(X234) )
| ( X233 = X234 ) )
& ! [X54: $int,X53: $int,X51: $int,X52: $int] :
( ~ $less(b(X54),4)
| ( 7 != a(X51) )
| ( 5 != b(X53) )
| ( X51 = X53 )
| ( X52 = X54 )
| ( 3 != a(X54) )
| ( 2 != b(X51) )
| ( X53 = X54 )
| ( X52 = X53 )
| ~ $less(X52,X54)
| ~ $less(b(X52),3)
| ( X51 = X52 )
| ( X51 = X54 )
| ( 10 != a(X52) ) )
& ! [X158: $int,X157: $int,X156: $int] :
( ( X156 = X158 )
| ( 2 != b(X156) )
| ( 4 != a(X158) )
| ( 6 != a(X157) )
| ~ $less(X156,X158)
| ( 10 != a(X156) )
| ( X157 = X158 )
| ( 5 != b(X158) )
| ( X156 = X157 ) )
& ! [X210: $int,X209: $int,X211: $int] :
( ( 10 != a(X211) )
| ( X210 = X211 )
| ( X209 = X211 )
| ~ $less(X211,X210)
| ( 2 != b(X209) )
| ( X209 = X210 )
| ( 12 != a(X210) )
| ( 7 != a(X209) )
| ( 5 != b(X210) )
| ~ $less(b(X211),3) )
& ! [X191: $int,X190: $int,X192: $int] :
( ( X190 = X191 )
| ( 7 != a(X192) )
| ~ $less(b(X191),3)
| ( 10 != a(X191) )
| ( X191 = X192 )
| ( 1 != a(X190) )
| ( X190 = X192 )
| ( 5 != b(X190) )
| ~ $less(X191,X190)
| ( 2 != b(X192) ) )
& ! [X249: $int,X248: $int,X251: $int,X250: $int] :
( ( X249 = X251 )
| ( 8 != a(X251) )
| ~ $less(b(X249),3)
| ( X250 = X251 )
| ( X249 = X250 )
| ~ $less(X249,X250)
| ( X248 = X250 )
| ( 10 != a(X249) )
| ( X248 = X249 )
| ( X248 = X251 )
| ( 4 != a(X250) )
| ( 2 != b(X248) ) )
& ! [X231: $int,X229: $int,X230: $int] :
( ~ $less(X230,X229)
| ( 8 != a(X231) )
| ( X229 = X231 )
| ( X229 = X230 )
| ( X230 = X231 )
| ( 10 != a(X230) )
| ~ $less(b(X230),3)
| ( 7 != a(X229) ) )
& ! [X184: $int,X186: $int,X185: $int] :
( ( 10 != a(X184) )
| ~ $less(X184,X185)
| ( X184 = X185 )
| ( 2 != b(X184) )
| ( 4 != a(X185) )
| ( 8 != a(X186) )
| ( X185 = X186 )
| ( X184 = X186 ) )
& ( a(z2) = 10 )
& ! [X163: $int,X162: $int] :
( ( 10 != a(X163) )
| ( 10 != a(X162) )
| ( X162 = X163 ) ) ),
inference(flattening,[],[f18]) ).
tff(f20,plain,
( ! [X0: $int,X1: $int,X2: $int,X3: $int] :
( ( 10 != a(X3) )
| ( X0 = X3 )
| ( X2 = X3 )
| ( X1 = X2 )
| ( b(X2) != 2 )
| ( a(X0) != 5 )
| ( 5 != b(X1) )
| ( X1 = X3 )
| ( X0 = X2 )
| ~ $less(b(X3),3)
| ( X0 = X1 )
| ~ $less(X3,X1)
| ( a(X1) != 7 ) )
& ! [X4: $int,X5: $int,X6: $int,X7: $int] :
( ( X5 = X7 )
| ( X4 = X6 )
| ( 2 != a(X6) )
| ~ $less(X4,X6)
| ( 7 != a(X7) )
| ( 2 != b(X7) )
| ( 5 != b(X5) )
| ~ $less(b(X4),3)
| ( 10 != a(X4) )
| ( X4 = X7 )
| ( X5 = X6 )
| ( X4 = X5 )
| ( X6 = X7 ) )
& ! [X8: $int,X9: $int,X10: $int,X11: $int] :
( ~ $less(b(X9),4)
| ( X10 = X11 )
| ( X8 = X10 )
| ( X9 = X10 )
| ~ $less(b(X10),4)
| ( X8 = X11 )
| ( X9 = X11 )
| ( X8 = X9 )
| ( 10 != a(X8) )
| ( 7 != a(X9) )
| ( 5 != b(X11) )
| ( 3 != a(X10) )
| ( 2 != b(X8) )
| ~ $less(X8,X10) )
& ( z2 != z4 )
& ! [X12: $int,X13: $int,X14: $int,X15: $int] :
( ( 10 != a(X13) )
| ( X13 = X14 )
| ( X12 = X15 )
| ( X14 = X15 )
| ( X12 = X14 )
| ~ $less(X13,X15)
| ( X12 = X13 )
| ~ $less(b(X13),3)
| ( 8 != a(X14) )
| ( 2 != b(X12) )
| ( X13 = X15 )
| ( 5 != a(X15) ) )
& ! [X16: $int,X17: $int,X18: $int] :
( ( X16 = X18 )
| ( 2 != b(X16) )
| ( 7 != a(X17) )
| ( 5 != b(X18) )
| ( 10 != a(X16) )
| ( X16 = X17 )
| ( X17 = X18 )
| ( 5 != a(X18) )
| ~ $less(X16,X18) )
& ! [X19: $int,X20: $int,X21: $int] :
( ( 5 != b(X20) )
| ( 2 != b(X21) )
| ( 10 != a(X19) )
| ~ $less(X19,X20)
| ~ $less(b(X19),3)
| ( X19 = X21 )
| ( X19 = X20 )
| ( 5 != a(X20) )
| ( 7 != a(X21) )
| ( X20 = X21 ) )
& ! [X22: $int,X23: $int,X24: $int] :
( ( 8 != a(X24) )
| ~ $less(X22,X23)
| ( X23 = X24 )
| ~ $less(b(X22),3)
| ( X22 = X24 )
| ( 10 != a(X22) )
| ( X22 = X23 )
| ( 1 != a(X23) )
| ( 2 != b(X24) ) )
& ! [X25: $int,X26: $int,X27: $int] :
( ( 5 != b(X25) )
| ( X26 = X27 )
| ( X25 = X27 )
| ( 2 != b(X26) )
| ( X25 = X26 )
| ( 10 != a(X26) )
| ( 6 != a(X27) )
| ( 1 != a(X25) )
| ~ $less(X26,X25) )
& ( z3 != z4 )
& ! [X28: $int,X29: $int,X30: $int] :
( ( 6 != a(X30) )
| ( 12 != a(X28) )
| ( 5 != b(X28) )
| ( X29 = X30 )
| ~ $less(X29,X28)
| ( 2 != b(X29) )
| ( X28 = X30 )
| ( 10 != a(X29) )
| ( X28 = X29 ) )
& ( z1 != z2 )
& ! [X31: $int,X32: $int,X33: $int] :
( ( X31 = X33 )
| ( 5 != b(X32) )
| ( X31 = X32 )
| ~ $less(X31,X32)
| ( 10 != a(X31) )
| ( 2 != a(X32) )
| ( 2 != b(X31) )
| ( 4 != a(X33) )
| ( X32 = X33 ) )
& ! [X34: $int,X35: $int,X36: $int] :
( ( X34 = X36 )
| ( 6 != a(X36) )
| ( 5 != b(X36) )
| ( X34 = X35 )
| ~ $less(X35,X36)
| ( 7 != a(X34) )
| ( 10 != a(X35) )
| ~ $less(b(X35),3)
| ( X35 = X36 ) )
& ( z4 != z5 )
& ! [X37: $int,X38: $int,X39: $int,X40: $int] :
( ( 6 != a(X39) )
| ( 5 != b(X40) )
| ( X37 = X40 )
| ~ $less(b(X38),3)
| ( X39 = X40 )
| ( 5 != a(X40) )
| ~ $less(X38,X40)
| ( X38 = X40 )
| ( 10 != a(X38) )
| ( X37 = X39 )
| ( 2 != b(X37) )
| ( X37 = X38 )
| ( X38 = X39 ) )
& ! [X41: $int,X42: $int,X43: $int] :
( ( 4 != a(X43) )
| ( 2 != b(X41) )
| ( 10 != a(X41) )
| ( 12 != a(X42) )
| ( X41 = X43 )
| ( 5 != b(X42) )
| ( X42 = X43 )
| ~ $less(X41,X42)
| ( X41 = X42 ) )
& ! [X44: $int,X45: $int,X46: $int] :
( ( X44 = X45 )
| ( X45 = X46 )
| ( 8 != a(X46) )
| ( 5 != a(X45) )
| ( 2 != b(X44) )
| ~ $less(X44,X45)
| ( 10 != a(X44) )
| ( X44 = X46 ) )
& ! [X47: $int,X48: $int,X49: $int,X50: $int] :
( ( X48 = X49 )
| ( 5 != a(X50) )
| ( X47 = X50 )
| ( X49 = X50 )
| ( 5 != b(X49) )
| ( 2 != b(X47) )
| ~ $less(X48,X50)
| ( X47 = X49 )
| ~ $less(b(X48),3)
| ( X48 = X50 )
| ( 10 != a(X48) )
| ( X47 = X48 ) )
& ! [X51: $int,X52: $int,X53: $int] :
( ( X51 = X53 )
| ( 5 != b(X53) )
| ~ $less(X51,X52)
| ~ $less(b(X51),3)
| ( 6 != a(X52) )
| ( 10 != a(X51) )
| ( X51 = X52 )
| ( X52 = X53 ) )
& $less(b(z2),3)
& ! [X54: $int,X55: $int,X56: $int] :
( ( X54 = X56 )
| ( 1 != a(X56) )
| ( 10 != a(X54) )
| ( X54 = X55 )
| ( 5 != b(X56) )
| ( 2 != b(X54) )
| ( X55 = X56 )
| ( 4 != a(X55) )
| ~ $less(X54,X56) )
& ( b(z3) = 5 )
& ! [X57: $int,X58: $int,X59: $int] :
( ( 8 != a(X57) )
| ( 10 != a(X58) )
| ( X57 = X58 )
| ~ $less(X58,X59)
| ( 5 != a(X59) )
| ~ $less(b(X58),3)
| ( X58 = X59 )
| ( 2 != b(X57) )
| ( X57 = X59 ) )
& ! [X60: $int,X61: $int,X62: $int,X63: $int] :
( ( 5 != b(X61) )
| ( X60 = X63 )
| ( 4 != a(X60) )
| ( X60 = X61 )
| ( 2 != a(X62) )
| ( X61 = X62 )
| ( X62 = X63 )
| ~ $less(X63,X60)
| ( X61 = X63 )
| ~ $less(b(X63),3)
| ( X60 = X62 )
| ( 10 != a(X63) ) )
& ! [X64: $int,X65: $int,X66: $int] :
( ( 5 != b(X65) )
| ( X64 = X65 )
| ( 7 != a(X66) )
| ( 2 != a(X65) )
| ( X64 = X66 )
| ~ $less(X64,X65)
| ( 10 != a(X64) )
| ( X65 = X66 )
| ~ $less(b(X66),4)
| ( 2 != b(X64) ) )
& ! [X67: $int,X68: $int,X69: $int] :
( ( 5 != b(X69) )
| ( X67 = X69 )
| ( 10 != a(X68) )
| ( X67 = X68 )
| ( 2 != b(X68) )
| ~ $less(X68,X69)
| ( 1 != a(X69) )
| ( X68 = X69 )
| ( 5 != a(X67) ) )
& ! [X70: $int,X71: $int,X72: $int] :
( ~ $less(b(X72),3)
| ( X71 = X72 )
| ( 7 != a(X70) )
| ( X70 = X72 )
| ( 7 != a(X71) )
| ~ $less(X72,X70)
| ( 5 != b(X70) )
| ( 10 != a(X72) )
| ( X70 = X71 ) )
& ! [X73: $int,X74: $int,X75: $int,X76: $int] :
( ( X74 = X75 )
| ( 7 != a(X75) )
| ( 2 != b(X75) )
| ( X74 = X76 )
| ( 5 != b(X73) )
| ( 12 != a(X76) )
| ( X73 = X74 )
| ~ $less(X74,X76)
| ~ $less(b(X74),3)
| ( 10 != a(X74) )
| ( X75 = X76 )
| ( X73 = X76 )
| ( X73 = X75 ) )
& $less(z2,z1)
& ! [X77: $int,X78: $int,X79: $int] :
( ~ $less(X78,X77)
| ( 5 != b(X77) )
| ( 10 != a(X78) )
| ( X77 = X78 )
| ( X77 = X79 )
| ( 2 != b(X78) )
| ( 5 != a(X77) )
| ( X78 = X79 )
| ( 6 != a(X79) ) )
& ! [X80: $int,X81: $int,X82: $int] :
( ~ $less(X80,X82)
| ( 2 != b(X80) )
| ( 5 != b(X82) )
| ( 10 != a(X80) )
| ( X80 = X81 )
| ( 7 != a(X81) )
| ( X81 = X82 )
| ~ $less(b(X81),4)
| ( 1 != a(X82) )
| ( X80 = X82 ) )
& ( z2 != z5 )
& ! [X83: $int,X84: $int] :
( ( 10 != a(X83) )
| ( 9 != a(X84) )
| ~ $less(b(X83),3)
| ~ $less(X83,X84)
| ( X83 = X84 ) )
& ! [X85: $int,X86: $int,X87: $int] :
( ( 10 != a(X87) )
| ( 2 != b(X87) )
| ( X85 = X87 )
| ~ $less(X87,X85)
| ~ $less(b(X85),4)
| ( 8 != a(X86) )
| ( X86 = X87 )
| ( 3 != a(X85) )
| ( X85 = X86 )
| ~ $less(b(X86),4) )
& ! [X88: $int,X89: $int,X90: $int] :
( ( 2 != b(X89) )
| ( X89 = X90 )
| ( 4 != a(X90) )
| ~ $less(X89,X90)
| ( 5 != b(X90) )
| ( 10 != a(X89) )
| ( X88 = X89 )
| ( X88 = X90 )
| ( 5 != a(X88) ) )
& ! [X91: $int,X92: $int,X93: $int,X94: $int] :
( ( X92 = X93 )
| ( X91 = X94 )
| ( X93 = X94 )
| ( X92 = X94 )
| ( X91 = X92 )
| ~ $less(b(X92),3)
| ( 4 != a(X94) )
| ( X91 = X93 )
| ( 2 != b(X91) )
| ( 10 != a(X92) )
| ~ $less(X92,X94)
| ( 5 != b(X93) ) )
& ! [X95: $int,X96: $int,X97: $int,X98: $int] :
( ~ $less(X98,X95)
| ( 12 != a(X95) )
| ( X95 = X97 )
| ~ $less(b(X97),4)
| ( 2 != b(X98) )
| ( X95 = X96 )
| ( 7 != a(X97) )
| ( X95 = X98 )
| ( X96 = X98 )
| ( X97 = X98 )
| ( 10 != a(X98) )
| ( X96 = X97 )
| ( 5 != b(X96) ) )
& ! [X99: $int,X100: $int,X101: $int,X102: $int] :
( ( X100 = X102 )
| ( 1 != a(X101) )
| ( X99 = X100 )
| ( 5 != b(X100) )
| ( X99 = X101 )
| ( 10 != a(X102) )
| ( 5 != a(X99) )
| ( X101 = X102 )
| ~ $less(X102,X99)
| ~ $less(b(X102),3)
| ( X99 = X102 )
| ( X100 = X101 ) )
& ! [X103: $int,X104: $int,X105: $int] :
( ( X103 = X105 )
| ( 5 != a(X105) )
| ( 10 != a(X104) )
| ( 12 != a(X103) )
| ( 5 != b(X103) )
| ( X103 = X104 )
| ( X104 = X105 )
| ( 2 != b(X104) )
| ~ $less(X104,X103) )
& ! [X106: $int,X107: $int,X108: $int,X109: $int] :
( ( X107 = X108 )
| ( X106 = X109 )
| ( 2 != b(X106) )
| ( 5 != a(X109) )
| ( 6 != a(X107) )
| ( 10 != a(X108) )
| ~ $less(X108,X107)
| ( X106 = X107 )
| ~ $less(b(X108),3)
| ( X106 = X108 )
| ( X108 = X109 )
| ( X107 = X109 )
| ( 5 != b(X107) ) )
& ! [X110: $int,X111: $int,X112: $int] :
( ( 2 != a(X112) )
| ( 2 != b(X110) )
| ( X110 = X112 )
| ( X110 = X111 )
| ( 8 != a(X111) )
| ( 10 != a(X110) )
| ~ $less(b(X111),4)
| ~ $less(X110,X112)
| ( X111 = X112 ) )
& ! [X113: $int,X114: $int,X115: $int] :
( ( 7 != a(X113) )
| ( 10 != a(X114) )
| ( 2 != b(X114) )
| ( X113 = X114 )
| ~ $less(X114,X115)
| ( X114 = X115 )
| ( X113 = X115 )
| ( 4 != a(X115) )
| ( 5 != b(X115) ) )
& ( z1 != z4 )
& ! [X116: $int,X117: $int,X118: $int] :
( ( 5 != b(X117) )
| ( 5 != a(X118) )
| ( X117 = X118 )
| ( X116 = X118 )
| ( 10 != a(X116) )
| ( X116 = X117 )
| ~ $less(X116,X118)
| ( 2 != b(X116) ) )
& ! [X119: $int,X120: $int,X121: $int] :
( ( 10 != a(X119) )
| ( 4 != a(X120) )
| ( X119 = X120 )
| ~ $less(X119,X120)
| ( 2 != b(X119) )
| ( X120 = X121 )
| ( 5 != b(X121) )
| ( X119 = X121 ) )
& ! [X122: $int,X123: $int,X124: $int,X125: $int] :
( ( 5 != b(X123) )
| ( X122 = X125 )
| ( X123 = X125 )
| ( X124 = X125 )
| ( X122 = X124 )
| ~ $less(X124,X125)
| ( 10 != a(X124) )
| ( 1 != a(X125) )
| ( 7 != a(X122) )
| ( X122 = X123 )
| ~ $less(b(X122),4)
| ( X123 = X124 )
| ( 2 != b(X124) ) )
& ! [X126: $int,X127: $int,X128: $int] :
( ( 10 != a(X127) )
| ( 5 != b(X126) )
| ( X126 = X128 )
| ~ $less(X127,X126)
| ( X127 = X128 )
| ( 2 != b(X127) )
| ( 5 != a(X126) )
| ( 5 != a(X128) )
| ( X126 = X127 ) )
& ! [X129: $int,X130: $int,X131: $int] :
( ( X129 = X131 )
| ( 5 != b(X129) )
| ( 10 != a(X131) )
| ( 7 != a(X130) )
| ( X130 = X131 )
| ( 2 != b(X130) )
| ( 4 != a(X129) )
| ( X129 = X130 )
| ~ $less(b(X131),3)
| ~ $less(X131,X129) )
& ! [X132: $int,X133: $int,X134: $int] :
( ( 6 != a(X132) )
| ( X132 = X133 )
| ~ $less(X133,X134)
| ( 2 != a(X134) )
| ( 10 != a(X133) )
| ( 2 != b(X133) )
| ( 5 != b(X134) )
| ( X132 = X134 )
| ( X133 = X134 ) )
& ! [X135: $int,X136: $int,X137: $int] :
( ( X136 = X137 )
| ( 6 != a(X135) )
| ~ $less(b(X136),3)
| ( X135 = X137 )
| ( 8 != a(X137) )
| ( X135 = X136 )
| ( 10 != a(X136) )
| ~ $less(X136,X135) )
& ! [X138: $int,X139: $int,X140: $int] :
( ( X139 = X140 )
| ( 2 != b(X138) )
| ( 10 != a(X140) )
| ~ $less(b(X140),3)
| ( X138 = X139 )
| ( 6 != a(X138) )
| ( 5 != a(X139) )
| ( X138 = X140 )
| ( 5 != b(X139) )
| ~ $less(X140,X139) )
& ! [X141: $int,X142: $int,X143: $int] :
( ( X141 = X142 )
| ( 12 != a(X143) )
| ( X142 = X143 )
| ( X141 = X143 )
| ~ $less(X141,X143)
| ( 5 != b(X143) )
| ~ $less(b(X142),4)
| ( 10 != a(X141) )
| ( 7 != a(X142) )
| ( 2 != b(X141) ) )
& ! [X144: $int,X145: $int,X146: $int] :
( ~ $less(b(X144),3)
| ~ $less(X144,X145)
| ( 10 != a(X144) )
| ( 2 != a(X145) )
| ( 5 != b(X145) )
| ( 2 != b(X146) )
| ( 7 != a(X146) )
| ( X145 = X146 )
| ( X144 = X146 )
| ( X144 = X145 ) )
& ! [X147: $int,X148: $int,X149: $int,X150: $int] :
( ( 2 != b(X149) )
| ( X147 = X149 )
| ( 7 != a(X150) )
| ~ $less(b(X148),3)
| ( X149 = X150 )
| ( 10 != a(X148) )
| ~ $less(X148,X147)
| ( X147 = X150 )
| ( 5 != b(X147) )
| ( X148 = X150 )
| ( X147 = X148 )
| ( X148 = X149 )
| ( 5 != a(X147) ) )
& ( a(z1) = 4 )
& ! [X151: $int,X152: $int,X153: $int] :
( ( 10 != a(X151) )
| ( 8 != a(X153) )
| ( X151 = X153 )
| ( X152 = X153 )
| ~ $less(X151,X152)
| ( 2 != b(X153) )
| ( 4 != a(X152) )
| ~ $less(b(X151),3)
| ( X151 = X152 ) )
& ( b(z4) = 2 )
& ( a(z4) = 7 )
& ! [X154: $int,X155: $int,X156: $int] :
( ( 10 != a(X155) )
| ( X154 = X156 )
| ( X154 = X155 )
| ( X155 = X156 )
| ~ $less(X155,X154)
| ( 5 != b(X154) )
| ( 7 != a(X154) )
| ( 2 != b(X155) )
| ( 5 != a(X156) ) )
& ! [X157: $int,X158: $int,X159: $int] :
( ( 5 != b(X159) )
| ( 10 != a(X158) )
| ~ $less(X158,X159)
| ( 2 != a(X159) )
| ( 5 != a(X157) )
| ( 2 != b(X158) )
| ( X157 = X158 )
| ( X158 = X159 )
| ( X157 = X159 ) )
& ! [X160: $int,X161: $int,X162: $int] :
( ( 4 != a(X160) )
| ( X160 = X162 )
| ( 2 != b(X162) )
| ~ $less(X162,X161)
| ( 5 != b(X161) )
| ( X161 = X162 )
| ( 10 != a(X162) )
| ( X160 = X161 )
| ( 4 != a(X161) ) )
& ! [X163: $int,X164: $int,X165: $int] :
( ( 7 != a(X163) )
| ( 5 != b(X163) )
| ( 6 != a(X164) )
| ( X163 = X165 )
| ( X163 = X164 )
| ( 10 != a(X165) )
| ( X164 = X165 )
| ~ $less(b(X165),3)
| ~ $less(X165,X163) )
& ! [X166: $int,X167: $int,X168: $int] :
( ( 1 != a(X166) )
| ( 8 != a(X168) )
| ( X167 = X168 )
| ~ $less(b(X168),4)
| ( 2 != b(X167) )
| ( 10 != a(X167) )
| ( X166 = X167 )
| ( X166 = X168 )
| ~ $less(X167,X166) )
& ! [X169: $int,X170: $int,X171: $int] :
( ( X170 = X171 )
| ( 6 != a(X171) )
| ( 10 != a(X169) )
| ( X169 = X170 )
| ~ $less(X169,X171)
| ( X169 = X171 )
| ( 5 != b(X171) )
| ( 2 != b(X169) )
| ( 5 != a(X170) ) )
& ! [X172: $int,X173: $int,X174: $int,X175: $int] :
( ( X173 = X175 )
| ( X173 = X174 )
| ( 5 != b(X172) )
| ( X172 = X174 )
| ( X174 = X175 )
| ( 10 != a(X174) )
| ( 2 != b(X175) )
| ( 5 != a(X175) )
| ( X172 = X173 )
| ~ $less(b(X174),3)
| ( 2 != b(X173) )
| ( 5 != a(X172) )
| ~ $less(X174,X172)
| ( X172 = X175 ) )
& ! [X176: $int,X177: $int] :
( ( 8 != a(X177) )
| ~ $less(b(X176),3)
| ( X176 = X177 )
| ( 10 != a(X176) )
| ~ $less(X176,X177) )
& ! [X178: $int,X179: $int,X180: $int,X181: $int] :
( ( 10 != a(X178) )
| ~ $less(b(X178),3)
| ( X179 = X180 )
| ( X180 = X181 )
| ( 7 != a(X181) )
| ( 5 != b(X180) )
| ( X179 = X181 )
| ( 1 != a(X179) )
| ( X178 = X181 )
| ( X178 = X180 )
| ( 2 != b(X181) )
| ( X178 = X179 )
| ~ $less(X178,X179) )
& ! [X182: $int,X183: $int,X184: $int,X185: $int] :
( ( X182 = X185 )
| ( X183 = X184 )
| ( 7 != a(X184) )
| ( 5 != b(X182) )
| ( X184 = X185 )
| ( 4 != a(X185) )
| ~ $less(b(X183),3)
| ~ $less(X183,X185)
| ( X183 = X185 )
| ( 2 != b(X184) )
| ( X182 = X183 )
| ( 10 != a(X183) )
| ( X182 = X184 ) )
& ! [X186: $int,X187: $int,X188: $int,X189: $int] :
( ( X188 = X189 )
| ( 8 != a(X189) )
| ( 2 != a(X187) )
| ( X187 = X189 )
| ( X187 = X188 )
| ( 10 != a(X188) )
| ~ $less(X188,X186)
| ( 5 != a(X186) )
| ( X186 = X189 )
| ( X186 = X187 )
| ( X186 = X188 )
| ~ $less(b(X188),3) )
& ! [X190: $int,X191: $int,X192: $int] :
( ( X191 = X192 )
| ~ $less(X190,X192)
| ( X190 = X191 )
| ( 2 != b(X190) )
| ( 12 != a(X192) )
| ( 10 != a(X190) )
| ~ $less(b(X191),4)
| ( X190 = X192 )
| ( 8 != a(X191) ) )
& ! [X193: $int,X194: $int,X195: $int] :
( ( 5 != b(X193) )
| ( X193 = X195 )
| ~ $less(X195,X194)
| ( 7 != a(X194) )
| ~ $less(b(X195),3)
| ( X194 = X195 )
| ( X193 = X194 )
| ( 10 != a(X195) ) )
& ! [X196: $int,X197: $int,X198: $int] :
( ( 6 != a(X197) )
| ( X196 = X198 )
| ~ $less(X196,X197)
| ( X196 = X197 )
| ( 10 != a(X196) )
| ~ $less(b(X196),3)
| ( 6 != a(X198) )
| ( X197 = X198 )
| ( 5 != b(X197) ) )
& ( z1 != z3 )
& ! [X199: $int,X200: $int,X201: $int,X202: $int] :
( ( X199 = X201 )
| ( 2 != a(X201) )
| ( X201 = X202 )
| ( X199 = X200 )
| ( 5 != b(X202) )
| ( X200 = X201 )
| ( 5 != a(X200) )
| ~ $less(b(X199),3)
| ~ $less(X199,X200)
| ( X200 = X202 )
| ( 10 != a(X199) )
| ( X199 = X202 ) )
& ! [X203: $int,X204: $int,X205: $int] :
( ( 5 != a(X204) )
| ( 10 != a(X203) )
| ( 2 != b(X203) )
| ( 5 != b(X204) )
| ( X203 = X204 )
| ( X204 = X205 )
| ( X203 = X205 )
| ( 4 != a(X205) )
| ~ $less(X203,X204) )
& ( z2 != z3 )
& ( z3 != z5 )
& ! [X206: $int,X207: $int,X208: $int,X209: $int] :
( ( X207 = X209 )
| ~ $less(X208,X209)
| ( 2 != b(X208) )
| ( 5 != b(X207) )
| ( X207 = X208 )
| ( 7 != a(X206) )
| ( 10 != a(X208) )
| ( X208 = X209 )
| ( 2 != a(X209) )
| ( X206 = X207 )
| ( X206 = X208 )
| ( X206 = X209 )
| ~ $less(b(X206),4) )
& ! [X210: $int,X211: $int,X212: $int] :
( ( 5 != b(X212) )
| ( 6 != a(X212) )
| ( X211 = X212 )
| ~ $less(X211,X212)
| ( 10 != a(X211) )
| ( X210 = X212 )
| ( X210 = X211 )
| ( 2 != b(X211) )
| ( 4 != a(X210) ) )
& ! [X213: $int] :
( ~ $less(5,b(X213))
& ~ $less(b(X213),1) )
& ! [X214: $int,X215: $int,X216: $int] :
( ( 8 != a(X214) )
| ( X214 = X215 )
| ~ $less(b(X215),4)
| ~ $less(X216,X215)
| ( 10 != a(X216) )
| ( X214 = X216 )
| ( 3 != a(X215) )
| ~ $less(b(X216),3)
| ( X215 = X216 )
| ( 2 != b(X214) ) )
& ! [X217: $int,X218: $int,X219: $int] :
( ( 8 != a(X217) )
| ( X217 = X219 )
| ( X218 = X219 )
| ( 2 != b(X217) )
| ~ $less(X219,X218)
| ~ $less(b(X219),3)
| ( 12 != a(X218) )
| ( 10 != a(X219) )
| ( X217 = X218 ) )
& ! [X220: $int] :
( ~ $less(a(X220),1)
& ~ $less(12,a(X220)) )
& ! [X221: $int,X222: $int,X223: $int] :
( ( X221 = X223 )
| ( 2 != b(X223) )
| ( 7 != a(X222) )
| ( X221 = X222 )
| ( X222 = X223 )
| ~ $less(X223,X222)
| ( 10 != a(X223) )
| ( 5 != b(X222) )
| ( 4 != a(X221) ) )
& ( z1 != z5 )
& ! [X224: $int,X225: $int,X226: $int] :
( ( 2 != b(X224) )
| ( X225 = X226 )
| ~ $less(b(X225),3)
| ( X224 = X226 )
| ( 2 != a(X226) )
| ~ $less(X225,X226)
| ( 8 != a(X224) )
| ( 10 != a(X225) )
| ( X224 = X225 ) )
& ! [X227: $int,X228: $int,X229: $int,X230: $int] :
( ~ $less(b(X227),4)
| ( 7 != a(X229) )
| ( 5 != b(X228) )
| ( X228 = X229 )
| ( X227 = X230 )
| ( 3 != a(X227) )
| ( 2 != b(X229) )
| ( X227 = X228 )
| ( X228 = X230 )
| ~ $less(X230,X227)
| ~ $less(b(X230),3)
| ( X229 = X230 )
| ( X227 = X229 )
| ( 10 != a(X230) ) )
& ! [X231: $int,X232: $int,X233: $int] :
( ( X231 = X233 )
| ( 2 != b(X233) )
| ( 4 != a(X231) )
| ( 6 != a(X232) )
| ~ $less(X233,X231)
| ( 10 != a(X233) )
| ( X231 = X232 )
| ( 5 != b(X231) )
| ( X232 = X233 ) )
& ! [X234: $int,X235: $int,X236: $int] :
( ( 10 != a(X236) )
| ( X234 = X236 )
| ( X235 = X236 )
| ~ $less(X236,X234)
| ( 2 != b(X235) )
| ( X234 = X235 )
| ( 12 != a(X234) )
| ( 7 != a(X235) )
| ( 5 != b(X234) )
| ~ $less(b(X236),3) )
& ! [X237: $int,X238: $int,X239: $int] :
( ( X237 = X238 )
| ( 7 != a(X239) )
| ~ $less(b(X237),3)
| ( 10 != a(X237) )
| ( X237 = X239 )
| ( 1 != a(X238) )
| ( X238 = X239 )
| ( 5 != b(X238) )
| ~ $less(X237,X238)
| ( 2 != b(X239) ) )
& ! [X240: $int,X241: $int,X242: $int,X243: $int] :
( ( X240 = X242 )
| ( 8 != a(X242) )
| ~ $less(b(X240),3)
| ( X242 = X243 )
| ( X240 = X243 )
| ~ $less(X240,X243)
| ( X241 = X243 )
| ( 10 != a(X240) )
| ( X240 = X241 )
| ( X241 = X242 )
| ( 4 != a(X243) )
| ( 2 != b(X241) ) )
& ! [X244: $int,X245: $int,X246: $int] :
( ~ $less(X246,X245)
| ( 8 != a(X244) )
| ( X244 = X245 )
| ( X245 = X246 )
| ( X244 = X246 )
| ( 10 != a(X246) )
| ~ $less(b(X246),3)
| ( 7 != a(X245) ) )
& ! [X247: $int,X248: $int,X249: $int] :
( ( 10 != a(X247) )
| ~ $less(X247,X249)
| ( X247 = X249 )
| ( 2 != b(X247) )
| ( 4 != a(X249) )
| ( 8 != a(X248) )
| ( X248 = X249 )
| ( X247 = X248 ) )
& ( a(z2) = 10 )
& ! [X250: $int,X251: $int] :
( ( 10 != a(X250) )
| ( 10 != a(X251) )
| ( X250 = X251 ) ) ),
inference(rectify,[],[f19]) ).
tff(f22,plain,
10 = a(z2),
inference(cnf_transformation,[],[f20]) ).
tff(f42,plain,
z2 != z3,
inference(cnf_transformation,[],[f20]) ).
tff(f45,plain,
z1 != z3,
inference(cnf_transformation,[],[f20]) ).
tff(f61,plain,
2 = b(z4),
inference(cnf_transformation,[],[f20]) ).
tff(f63,plain,
4 = a(z1),
inference(cnf_transformation,[],[f20]) ).
tff(f75,plain,
z1 != z4,
inference(cnf_transformation,[],[f20]) ).
tff(f82,plain,
! [X91: $int,X94: $int,X92: $int,X93: $int] :
( ( 4 != a(X94) )
| ( X93 = X94 )
| ( 2 != b(X91) )
| ( X91 = X93 )
| ( 5 != b(X93) )
| ( X92 = X93 )
| ( X92 = X94 )
| ~ $less(b(X92),3)
| ~ $less(X92,X94)
| ( X91 = X94 )
| ( 10 != a(X92) )
| ( X91 = X92 ) ),
inference(cnf_transformation,[],[f20]) ).
tff(f89,plain,
$less(z2,z1),
inference(cnf_transformation,[],[f20]) ).
tff(f96,plain,
5 = b(z3),
inference(cnf_transformation,[],[f20]) ).
tff(f98,plain,
$less(b(z2),3),
inference(cnf_transformation,[],[f20]) ).
tff(f107,plain,
z1 != z2,
inference(cnf_transformation,[],[f20]) ).
tff(f109,plain,
z3 != z4,
inference(cnf_transformation,[],[f20]) ).
tff(f115,plain,
z2 != z4,
inference(cnf_transformation,[],[f20]) ).
tff(f724,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( z1 = X1 )
| ( X0 = X1 )
| ~ $less(b(X2),3)
| ( X1 = X2 )
| ~ $less(X2,z1)
| ( z1 = X0 )
| ( 10 != a(X2) )
| ( 4 != 4 )
| ( b(X0) != 5 )
| ( X0 = X2 )
| ( z1 = X2 )
| ( b(X1) != 2 ) ),
inference(superposition,[],[f82,f63]) ).
tff(f725,plain,
! [X2: $int,X0: $int,X1: $int] :
( ( 10 != a(X2) )
| ( X0 = X1 )
| ( z1 = X0 )
| ( b(X0) != 5 )
| ~ $less(b(X2),3)
| ( z1 = X2 )
| ( b(X1) != 2 )
| ( z1 = X1 )
| ( X0 = X2 )
| ( X1 = X2 )
| ~ $less(X2,z1) ),
inference(trivial_inequality_removal,[],[f724]) ).
tff(f729,plain,
! [X0: $int,X1: $int] :
( ( z1 = X0 )
| ( b(X1) != 2 )
| ( X0 = X1 )
| ( z2 = X1 )
| ( b(X0) != 5 )
| ( z1 = X1 )
| ( z2 = X0 )
| ( z1 = z2 )
| ~ $less(z2,z1)
| ~ $less(b(z2),3)
| ( 10 != 10 ) ),
inference(superposition,[],[f725,f22]) ).
tff(f731,plain,
! [X0: $int,X1: $int] :
( ( z1 = X0 )
| ( z2 = X1 )
| ~ $less(b(z2),3)
| ( b(X1) != 2 )
| ( b(X0) != 5 )
| ( z2 = X0 )
| ( X0 = X1 )
| ( z1 = z2 )
| ( z1 = X1 )
| ~ $less(z2,z1) ),
inference(trivial_inequality_removal,[],[f729]) ).
tff(f732,plain,
! [X0: $int,X1: $int] :
( ( z2 = X1 )
| ( b(X0) != 5 )
| ( X0 = X1 )
| ( z1 = X0 )
| ( z1 = z2 )
| ~ $less(z2,z1)
| ( b(X1) != 2 )
| ( z1 = X1 )
| ( z2 = X0 ) ),
inference(forward_subsumption_resolution,[],[f731,f98]) ).
tff(f733,plain,
! [X0: $int,X1: $int] :
( ( z1 = X1 )
| ( X0 = X1 )
| ( z2 = X1 )
| ( z1 = X0 )
| ( b(X1) != 2 )
| ( z2 = X0 )
| ( b(X0) != 5 )
| ~ $less(z2,z1) ),
inference(forward_subsumption_resolution,[],[f732,f107]) ).
tff(f734,plain,
! [X0: $int,X1: $int] :
( ( b(X1) != 2 )
| ( z2 = X1 )
| ( X0 = X1 )
| ( z1 = X1 )
| ( b(X0) != 5 )
| ( z2 = X0 )
| ( z1 = X0 ) ),
inference(forward_subsumption_resolution,[],[f733,f89]) ).
tff(f735,plain,
! [X0: $int] :
( ( z2 = X0 )
| ( z1 = z4 )
| ( z2 = z4 )
| ( z1 = X0 )
| ( z4 = X0 )
| ( 2 != 2 )
| ( b(X0) != 5 ) ),
inference(superposition,[],[f734,f61]) ).
tff(f737,plain,
! [X0: $int] :
( ( z1 = X0 )
| ( z2 = X0 )
| ( z4 = X0 )
| ( z2 = z4 )
| ( b(X0) != 5 )
| ( z1 = z4 ) ),
inference(trivial_inequality_removal,[],[f735]) ).
tff(f738,plain,
! [X0: $int] :
( ( b(X0) != 5 )
| ( z4 = X0 )
| ( z1 = X0 )
| ( z1 = z4 )
| ( z2 = X0 ) ),
inference(forward_subsumption_resolution,[],[f737,f115]) ).
tff(f739,plain,
! [X0: $int] :
( ( b(X0) != 5 )
| ( z4 = X0 )
| ( z2 = X0 )
| ( z1 = X0 ) ),
inference(forward_subsumption_resolution,[],[f738,f75]) ).
tff(f747,plain,
( ( z1 = z3 )
| ( 5 != 5 )
| ( z2 = z3 )
| ( z3 = z4 ) ),
inference(superposition,[],[f739,f96]) ).
tff(f748,plain,
( ( z2 = z3 )
| ( z1 = z3 )
| ( z3 = z4 ) ),
inference(trivial_inequality_removal,[],[f747]) ).
tff(f749,plain,
( ( z3 = z4 )
| ( z1 = z3 ) ),
inference(forward_subsumption_resolution,[],[f748,f42]) ).
tff(f750,plain,
z1 = z3,
inference(forward_subsumption_resolution,[],[f749,f109]) ).
tff(f751,plain,
$false,
inference(forward_subsumption_resolution,[],[f750,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW002_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n019.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 13:07:48 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.43/1.01 % (3988266)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 1.43/1.01 % (3988273)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=391236882:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 1.43/1.01 % (3988276)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4223435455:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 1.43/1.01 % (3988275)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3077740055:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 1.43/1.01 % (3988272)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=157900098:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 1.43/1.01 % (3988274)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=785126995:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 1.43/1.01 % (3988277)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=388202117:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 1.43/1.01 % (3988271)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=437431596:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 1.43/1.01 % (3988275)Instruction limit reached!
% 1.43/1.01 % (3988275)------------------------------
% 1.43/1.01 % (3988275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.43/1.01 % (3988275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/1.01 % (3988275)CaDiCaL version: 2.1.3
% 1.43/1.01 % (3988275)Termination reason: Instruction limit
% 1.43/1.01 % (3988275)Termination phase: Preprocessing 1
% 1.43/1.01 % (3988275)Time elapsed: 0.002 s
% 1.43/1.01 % (3988275)Peak memory usage: 85 MB
% 1.43/1.01 % (3988275)Instructions burned: 4 (million)
% 1.43/1.01 % (3988274)Instruction limit reached!
% 1.43/1.01 % (3988274)------------------------------
% 1.43/1.01 % (3988274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.43/1.01 % (3988274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/1.01 % (3988274)CaDiCaL version: 2.1.3
% 1.43/1.01 % (3988274)Termination reason: Instruction limit
% 1.43/1.01 % (3988274)Termination phase: Naming
% 1.43/1.01 % (3988274)Time elapsed: 0.004 s
% 1.43/1.01 % (3988274)Peak memory usage: 86 MB
% 1.43/1.01 % (3988274)Instructions burned: 8 (million)
% 1.43/1.01 % (3988271)Instruction limit reached!
% 1.43/1.01 % (3988271)------------------------------
% 1.43/1.01 % (3988271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.43/1.01 % (3988271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/1.01 % (3988271)CaDiCaL version: 2.1.3
% 1.43/1.01 % (3988271)Termination reason: Instruction limit
% 1.43/1.01 % (3988271)Termination phase: Property scanning
% 1.43/1.01 % (3988271)Time elapsed: 0.007 s
% 1.43/1.01 % (3988271)Peak memory usage: 86 MB
% 1.43/1.01 % (3988271)Instructions burned: 13 (million)
% 1.43/1.01 % (3988273)First to succeed.
% 1.43/1.01 % (3988273)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3988266"
% 1.43/1.01 % (3988277)Instruction limit reached!
% 1.43/1.01 % (3988277)------------------------------
% 1.43/1.01 % (3988277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.43/1.01 % (3988277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/1.01 % (3988277)CaDiCaL version: 2.1.3
% 1.43/1.01 % (3988277)Termination reason: Instruction limit
% 1.43/1.01 % (3988277)Termination phase: Saturation
% 1.43/1.01 % (3988277)Time elapsed: 0.038 s
% 1.43/1.01 % (3988277)Peak memory usage: 112 MB
% 1.43/1.01 % (3988277)Instructions burned: 34 (million)
% 1.43/1.01 % (3988276)Instruction limit reached!
% 1.43/1.01 % (3988276)------------------------------
% 1.43/1.01 % (3988276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.43/1.01 % (3988276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/1.01 % (3988276)CaDiCaL version: 2.1.3
% 1.43/1.01 % (3988276)Termination reason: Instruction limit
% 1.43/1.01 % (3988276)Termination phase: Saturation
% 1.43/1.01 % (3988276)Time elapsed: 0.049 s
% 1.43/1.01 % (3988276)Peak memory usage: 116 MB
% 1.43/1.01 % (3988276)Instructions burned: 47 (million)
% 1.43/1.01 % (3988272)Also succeeded, but the first one will report.
% 1.43/1.01 % (3988285)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=191448757:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.43/1.01 % (3988286)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=892267279:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 1.43/1.01 % (3988285)Instruction limit reached!
% 1.43/1.01 % (3988285)------------------------------
% 1.43/1.01 % (3988285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.43/1.01 % (3988285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/1.01 % (3988285)CaDiCaL version: 2.1.3
% 1.43/1.01 % (3988285)Termination reason: Instruction limit
% 1.43/1.01 % (3988285)Termination phase: Saturation
% 1.43/1.01 % (3988285)Time elapsed: 0.008 s
% 1.43/1.01 % (3988285)Peak memory usage: 89 MB
% 1.43/1.01 % (3988285)Instructions burned: 14 (million)
% 1.43/1.01 % (3988287)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3232547005:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 1.43/1.01 % (3988286)Instruction limit reached!
% 1.43/1.01 % (3988286)------------------------------
% 1.43/1.01 % (3988286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.43/1.01 % (3988286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/1.01 % (3988286)CaDiCaL version: 2.1.3
% 1.43/1.01 % (3988286)Termination reason: Instruction limit
% 1.43/1.01 % (3988286)Termination phase: Saturation
% 1.43/1.01 % (3988286)Time elapsed: 0.017 s
% 1.43/1.01 % (3988286)Peak memory usage: 88 MB
% 1.43/1.01 % (3988286)Instructions burned: 29 (million)
% 1.43/1.01 % (3988287)Instruction limit reached!
% 1.43/1.01 % (3988287)------------------------------
% 1.43/1.01 % (3988287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.43/1.01 % (3988287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/1.01 % (3988287)CaDiCaL version: 2.1.3
% 1.43/1.01 % (3988287)Termination reason: Instruction limit
% 1.43/1.01 % (3988287)Termination phase: Saturation
% 1.43/1.01 % (3988287)Time elapsed: 0.010 s
% 1.43/1.01 % (3988287)Peak memory usage: 89 MB
% 1.43/1.01 % (3988287)Instructions burned: 18 (million)
% 1.43/1.01 % (3988288)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3806796223:i=24:canc=force:rtra=on_2998 on theBenchmark for (2998ds/24Mi)
% 1.43/1.01 % (3988273)Refutation found. Thanks to Tanya!
% 1.43/1.01 % SZS status Theorem for theBenchmark
% 1.43/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 2.94/1.10 % (3988273)------------------------------
% 2.94/1.10 % (3988273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.10 % (3988273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.10 % (3988273)CaDiCaL version: 2.1.3
% 2.94/1.10 % (3988273)Termination reason: Refutation
% 2.94/1.10 % (3988273)Time elapsed: 0.078 s
% 2.94/1.10 % (3988273)Peak memory usage: 118 MB
% 2.94/1.10 % (3988273)Instructions burned: 189 (million)
% 2.94/1.10 % (3988273)------------------------------
% 2.94/1.10 % (3988273)------------------------------
% 2.94/1.10 % (3988266)Success in time 0.346 s
% 2.94/1.10 % Vampire exiting
%------------------------------------------------------------------------------