%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO885^1.330.100 : TPTP v9.3.1. Released v7.5.0.
% 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 : Wed Sep 30 08:48:33 AM UTC 2026
% Result : Theorem 2.13s 0.64s
% Output : Refutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 20
% Syntax : Number of formulae : 182 ( 40 unt; 0 typ; 19 def)
% Number of atoms : 29992 (2723 equ; 0 cnn)
% Maximal formula atoms : 124 ( 164 avg)
% Number of connectives : 31554 (2657 ~;2535 |; 198 &;26145 @)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 144 ( 20 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 1602 (1602 >; 0 *; 0 +; 0 <<)
% Number of symbols : 57 ( 55 usr; 50 con; 0-30 aty)
% Number of variables : 999 ( 445 sgn 532 !; 2 ?; 999 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_30,type,
f: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(func_def_32,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_33,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_34,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_35,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,conjecture,
? [X0: $i > $i > $i > $i] :
( ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(f2,negated_conjecture,
~ ? [X0: $i > $i > $i > $i] :
( ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a2 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a1 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a2 @ a0 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a1 @ a0 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a0 @ a1 @ a2 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
& ( ( X0 @ a2 @ a0 @ a1 )
= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
! [X0: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) ) ),
inference(ennf_transformation,[],[f2]) ).
thf(f4,plain,
! [X0: $i > $i > $i > $i] :
( ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f5,plain,
! [X0: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a0 @ a2 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( X0 @ a2 @ a1 @ a0 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( X0 @ a2 @ a0 @ a1 ) ) ),
inference(duplicate_literal_removal,[],[f4]) ).
thf(f6,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X28: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X27: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X25: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X26: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
( ( b7
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X26 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X27 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X28 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 ) @ ( X1 @ Y0 @ Y1 @ Y2 ) @ ( X2 @ Y0 @ Y1 @ Y2 ) @ ( X3 @ Y0 @ Y1 @ Y2 ) @ ( X4 @ Y0 @ Y1 @ Y2 ) @ ( X5 @ Y0 @ Y1 @ Y2 ) @ ( X6 @ Y0 @ Y1 @ Y2 ) @ ( X7 @ Y0 @ Y1 @ Y2 ) @ ( X8 @ Y0 @ Y1 @ Y2 ) @ ( X9 @ Y0 @ Y1 @ Y2 ) @ ( X10 @ Y0 @ Y1 @ Y2 ) @ ( X11 @ Y0 @ Y1 @ Y2 ) @ ( X12 @ Y0 @ Y1 @ Y2 ) @ ( X13 @ Y0 @ Y1 @ Y2 ) @ ( X14 @ Y0 @ Y1 @ Y2 ) @ ( X15 @ Y0 @ Y1 @ Y2 ) @ ( X16 @ Y0 @ Y1 @ Y2 ) @ ( X17 @ Y0 @ Y1 @ Y2 ) @ ( X18 @ Y0 @ Y1 @ Y2 ) @ ( X19 @ Y0 @ Y1 @ Y2 ) @ ( X20 @ Y0 @ Y1 @ Y2 ) @ ( X21 @ Y0 @ Y1 @ Y2 ) @ ( X22 @ Y0 @ Y1 @ Y2 ) @ ( X23 @ Y0 @ Y1 @ Y2 ) @ ( X24 @ Y0 @ Y1 @ Y2 ) @ ( X25 @ Y0 @ Y1 @ Y2 ) @ ( X26 @ Y0 @ Y1 @ Y2 ) @ ( X27 @ Y0 @ Y1 @ Y2 ) @ ( X28 @ Y0 @ Y1 @ Y2 )
@ ( ^ [Y3: $i,Y4: $i,Y5: $i] : b23
@ Y0
@ Y1
@ Y2 ) )
@ a2
@ a0
@ a1 ) )
| ( b9
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X24 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 ) @ ( X1 @ Y0 @ Y1 @ Y2 ) @ ( X2 @ Y0 @ Y1 @ Y2 ) @ ( X3 @ Y0 @ Y1 @ Y2 ) @ ( X4 @ Y0 @ Y1 @ Y2 ) @ ( X5 @ Y0 @ Y1 @ Y2 ) @ ( X6 @ Y0 @ Y1 @ Y2 ) @ ( X7 @ Y0 @ Y1 @ Y2 ) @ ( X8 @ Y0 @ Y1 @ Y2 ) @ ( X9 @ Y0 @ Y1 @ Y2 ) @ ( X10 @ Y0 @ Y1 @ Y2 ) @ ( X11 @ Y0 @ Y1 @ Y2 ) @ ( X12 @ Y0 @ Y1 @ Y2 ) @ ( X13 @ Y0 @ Y1 @ Y2 ) @ ( X14 @ Y0 @ Y1 @ Y2 ) @ ( X15 @ Y0 @ Y1 @ Y2 ) @ ( X16 @ Y0 @ Y1 @ Y2 ) @ ( X17 @ Y0 @ Y1 @ Y2 ) @ ( X18 @ Y0 @ Y1 @ Y2 ) @ ( X19 @ Y0 @ Y1 @ Y2 ) @ ( X20 @ Y0 @ Y1 @ Y2 ) @ ( X21 @ Y0 @ Y1 @ Y2 ) @ ( X22 @ Y0 @ Y1 @ Y2 ) @ ( X23 @ Y0 @ Y1 @ Y2 ) @ ( X24 @ Y0 @ Y1 @ Y2 ) @ ( X25 @ Y0 @ Y1 @ Y2 ) @ ( X26 @ Y0 @ Y1 @ Y2 ) @ ( X27 @ Y0 @ Y1 @ Y2 ) @ ( X28 @ Y0 @ Y1 @ Y2 )
@ ( ^ [Y3: $i,Y4: $i,Y5: $i] : b23
@ Y0
@ Y1
@ Y2 ) )
@ a1
@ a0
@ a2 ) )
| ( b16
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b12
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 ) @ ( X1 @ Y0 @ Y1 @ Y2 ) @ ( X2 @ Y0 @ Y1 @ Y2 ) @ ( X3 @ Y0 @ Y1 @ Y2 ) @ ( X4 @ Y0 @ Y1 @ Y2 ) @ ( X5 @ Y0 @ Y1 @ Y2 ) @ ( X6 @ Y0 @ Y1 @ Y2 ) @ ( X7 @ Y0 @ Y1 @ Y2 ) @ ( X8 @ Y0 @ Y1 @ Y2 ) @ ( X9 @ Y0 @ Y1 @ Y2 ) @ ( X10 @ Y0 @ Y1 @ Y2 ) @ ( X11 @ Y0 @ Y1 @ Y2 ) @ ( X12 @ Y0 @ Y1 @ Y2 ) @ ( X13 @ Y0 @ Y1 @ Y2 ) @ ( X14 @ Y0 @ Y1 @ Y2 ) @ ( X15 @ Y0 @ Y1 @ Y2 ) @ ( X16 @ Y0 @ Y1 @ Y2 ) @ ( X17 @ Y0 @ Y1 @ Y2 ) @ ( X18 @ Y0 @ Y1 @ Y2 ) @ ( X19 @ Y0 @ Y1 @ Y2 ) @ ( X20 @ Y0 @ Y1 @ Y2 ) @ ( X21 @ Y0 @ Y1 @ Y2 ) @ ( X22 @ Y0 @ Y1 @ Y2 ) @ ( X23 @ Y0 @ Y1 @ Y2 ) @ ( X24 @ Y0 @ Y1 @ Y2 ) @ ( X25 @ Y0 @ Y1 @ Y2 ) @ ( X26 @ Y0 @ Y1 @ Y2 ) @ ( X27 @ Y0 @ Y1 @ Y2 ) @ ( X28 @ Y0 @ Y1 @ Y2 )
@ ( ^ [Y3: $i,Y4: $i,Y5: $i] : b23
@ Y0
@ Y1
@ Y2 ) )
@ a1
@ a2
@ a0 ) )
| ( b5
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b22
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X23 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 ) @ ( X1 @ Y0 @ Y1 @ Y2 ) @ ( X2 @ Y0 @ Y1 @ Y2 ) @ ( X3 @ Y0 @ Y1 @ Y2 ) @ ( X4 @ Y0 @ Y1 @ Y2 ) @ ( X5 @ Y0 @ Y1 @ Y2 ) @ ( X6 @ Y0 @ Y1 @ Y2 ) @ ( X7 @ Y0 @ Y1 @ Y2 ) @ ( X8 @ Y0 @ Y1 @ Y2 ) @ ( X9 @ Y0 @ Y1 @ Y2 ) @ ( X10 @ Y0 @ Y1 @ Y2 ) @ ( X11 @ Y0 @ Y1 @ Y2 ) @ ( X12 @ Y0 @ Y1 @ Y2 ) @ ( X13 @ Y0 @ Y1 @ Y2 ) @ ( X14 @ Y0 @ Y1 @ Y2 ) @ ( X15 @ Y0 @ Y1 @ Y2 ) @ ( X16 @ Y0 @ Y1 @ Y2 ) @ ( X17 @ Y0 @ Y1 @ Y2 ) @ ( X18 @ Y0 @ Y1 @ Y2 ) @ ( X19 @ Y0 @ Y1 @ Y2 ) @ ( X20 @ Y0 @ Y1 @ Y2 ) @ ( X21 @ Y0 @ Y1 @ Y2 ) @ ( X22 @ Y0 @ Y1 @ Y2 ) @ ( X23 @ Y0 @ Y1 @ Y2 ) @ ( X24 @ Y0 @ Y1 @ Y2 ) @ ( X25 @ Y0 @ Y1 @ Y2 ) @ ( X26 @ Y0 @ Y1 @ Y2 ) @ ( X27 @ Y0 @ Y1 @ Y2 ) @ ( X28 @ Y0 @ Y1 @ Y2 )
@ ( ^ [Y3: $i,Y4: $i,Y5: $i] : b23
@ Y0
@ Y1
@ Y2 ) )
@ a0
@ a1
@ a2 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X25 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 ) @ ( X1 @ Y0 @ Y1 @ Y2 ) @ ( X2 @ Y0 @ Y1 @ Y2 ) @ ( X3 @ Y0 @ Y1 @ Y2 ) @ ( X4 @ Y0 @ Y1 @ Y2 ) @ ( X5 @ Y0 @ Y1 @ Y2 ) @ ( X6 @ Y0 @ Y1 @ Y2 ) @ ( X7 @ Y0 @ Y1 @ Y2 ) @ ( X8 @ Y0 @ Y1 @ Y2 ) @ ( X9 @ Y0 @ Y1 @ Y2 ) @ ( X10 @ Y0 @ Y1 @ Y2 ) @ ( X11 @ Y0 @ Y1 @ Y2 ) @ ( X12 @ Y0 @ Y1 @ Y2 ) @ ( X13 @ Y0 @ Y1 @ Y2 ) @ ( X14 @ Y0 @ Y1 @ Y2 ) @ ( X15 @ Y0 @ Y1 @ Y2 ) @ ( X16 @ Y0 @ Y1 @ Y2 ) @ ( X17 @ Y0 @ Y1 @ Y2 ) @ ( X18 @ Y0 @ Y1 @ Y2 ) @ ( X19 @ Y0 @ Y1 @ Y2 ) @ ( X20 @ Y0 @ Y1 @ Y2 ) @ ( X21 @ Y0 @ Y1 @ Y2 ) @ ( X22 @ Y0 @ Y1 @ Y2 ) @ ( X23 @ Y0 @ Y1 @ Y2 ) @ ( X24 @ Y0 @ Y1 @ Y2 ) @ ( X25 @ Y0 @ Y1 @ Y2 ) @ ( X26 @ Y0 @ Y1 @ Y2 ) @ ( X27 @ Y0 @ Y1 @ Y2 ) @ ( X28 @ Y0 @ Y1 @ Y2 )
@ ( ^ [Y3: $i,Y4: $i,Y5: $i] : b23
@ Y0
@ Y1
@ Y2 ) )
@ a2
@ a1
@ a0 ) ) ),
inference(equality_resolution,[],[f5]) ).
thf(f7,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X28: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X27: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X25: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X26: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a2 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X0 @ a1 @ a2 @ a0 ) @ ( X1 @ a1 @ a2 @ a0 ) @ ( X2 @ a1 @ a2 @ a0 ) @ ( X3 @ a1 @ a2 @ a0 ) @ ( X4 @ a1 @ a2 @ a0 ) @ ( X5 @ a1 @ a2 @ a0 ) @ ( X6 @ a1 @ a2 @ a0 ) @ ( X7 @ a1 @ a2 @ a0 ) @ ( X8 @ a1 @ a2 @ a0 ) @ ( X9 @ a1 @ a2 @ a0 ) @ ( X10 @ a1 @ a2 @ a0 ) @ ( X11 @ a1 @ a2 @ a0 ) @ ( X12 @ a1 @ a2 @ a0 ) @ ( X13 @ a1 @ a2 @ a0 ) @ ( X14 @ a1 @ a2 @ a0 ) @ ( X15 @ a1 @ a2 @ a0 ) @ ( X16 @ a1 @ a2 @ a0 ) @ ( X17 @ a1 @ a2 @ a0 ) @ ( X18 @ a1 @ a2 @ a0 ) @ ( X19 @ a1 @ a2 @ a0 ) @ ( X20 @ a1 @ a2 @ a0 ) @ ( X21 @ a1 @ a2 @ a0 ) @ ( X22 @ a1 @ a2 @ a0 ) @ ( X23 @ a1 @ a2 @ a0 ) @ ( X24 @ a1 @ a2 @ a0 ) @ ( X25 @ a1 @ a2 @ a0 ) @ ( X26 @ a1 @ a2 @ a0 ) @ ( X27 @ a1 @ a2 @ a0 ) @ ( X28 @ a1 @ a2 @ a0 ) @ b23 ) )
| ( b3
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X27 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b22
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X0 @ a2 @ a1 @ a0 ) @ ( X1 @ a2 @ a1 @ a0 ) @ ( X2 @ a2 @ a1 @ a0 ) @ ( X3 @ a2 @ a1 @ a0 ) @ ( X4 @ a2 @ a1 @ a0 ) @ ( X5 @ a2 @ a1 @ a0 ) @ ( X6 @ a2 @ a1 @ a0 ) @ ( X7 @ a2 @ a1 @ a0 ) @ ( X8 @ a2 @ a1 @ a0 ) @ ( X9 @ a2 @ a1 @ a0 ) @ ( X10 @ a2 @ a1 @ a0 ) @ ( X11 @ a2 @ a1 @ a0 ) @ ( X12 @ a2 @ a1 @ a0 ) @ ( X13 @ a2 @ a1 @ a0 ) @ ( X14 @ a2 @ a1 @ a0 ) @ ( X15 @ a2 @ a1 @ a0 ) @ ( X16 @ a2 @ a1 @ a0 ) @ ( X17 @ a2 @ a1 @ a0 ) @ ( X18 @ a2 @ a1 @ a0 ) @ ( X19 @ a2 @ a1 @ a0 ) @ ( X20 @ a2 @ a1 @ a0 ) @ ( X21 @ a2 @ a1 @ a0 ) @ ( X22 @ a2 @ a1 @ a0 ) @ ( X23 @ a2 @ a1 @ a0 ) @ ( X24 @ a2 @ a1 @ a0 ) @ ( X25 @ a2 @ a1 @ a0 ) @ ( X26 @ a2 @ a1 @ a0 ) @ ( X27 @ a2 @ a1 @ a0 ) @ ( X28 @ a2 @ a1 @ a0 ) @ b23 ) )
| ( b18
!= ( X25 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X24 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b12
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X0 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ ( X23 @ a2 @ a0 @ a1 ) @ ( X24 @ a2 @ a0 @ a1 ) @ ( X25 @ a2 @ a0 @ a1 ) @ ( X26 @ a2 @ a0 @ a1 ) @ ( X27 @ a2 @ a0 @ a1 ) @ ( X28 @ a2 @ a0 @ a1 ) @ b23 ) )
| ( b5
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( X28 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X0 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ ( X23 @ a1 @ a0 @ a2 ) @ ( X24 @ a1 @ a0 @ a2 ) @ ( X25 @ a1 @ a0 @ a2 ) @ ( X26 @ a1 @ a0 @ a2 ) @ ( X27 @ a1 @ a0 @ a2 ) @ ( X28 @ a1 @ a0 @ a2 ) @ b23 ) )
| ( b21
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ ( X0 @ a0 @ a1 @ a2 ) @ ( X1 @ a0 @ a1 @ a2 ) @ ( X2 @ a0 @ a1 @ a2 ) @ ( X3 @ a0 @ a1 @ a2 ) @ ( X4 @ a0 @ a1 @ a2 ) @ ( X5 @ a0 @ a1 @ a2 ) @ ( X6 @ a0 @ a1 @ a2 ) @ ( X7 @ a0 @ a1 @ a2 ) @ ( X8 @ a0 @ a1 @ a2 ) @ ( X9 @ a0 @ a1 @ a2 ) @ ( X10 @ a0 @ a1 @ a2 ) @ ( X11 @ a0 @ a1 @ a2 ) @ ( X12 @ a0 @ a1 @ a2 ) @ ( X13 @ a0 @ a1 @ a2 ) @ ( X14 @ a0 @ a1 @ a2 ) @ ( X15 @ a0 @ a1 @ a2 ) @ ( X16 @ a0 @ a1 @ a2 ) @ ( X17 @ a0 @ a1 @ a2 ) @ ( X18 @ a0 @ a1 @ a2 ) @ ( X19 @ a0 @ a1 @ a2 ) @ ( X20 @ a0 @ a1 @ a2 ) @ ( X21 @ a0 @ a1 @ a2 ) @ ( X22 @ a0 @ a1 @ a2 ) @ ( X23 @ a0 @ a1 @ a2 ) @ ( X24 @ a0 @ a1 @ a2 ) @ ( X25 @ a0 @ a1 @ a2 ) @ ( X26 @ a0 @ a1 @ a2 ) @ ( X27 @ a0 @ a1 @ a2 ) @ ( X28 @ a0 @ a1 @ a2 ) @ b23 ) )
| ( b0
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X23 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X26 @ a0 @ a2 @ a1 ) ) ),
inference(beta-eta_normalization,[],[f6]) ).
thf(f8,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X25: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X26: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b12
@ a1
@ a0
@ a2 )
@ ( X3 @ a1 @ a0 @ a2 )
@ ( X4 @ a1 @ a0 @ a2 )
@ ( X5 @ a1 @ a0 @ a2 )
@ ( X2 @ a1 @ a0 @ a2 )
@ ( X6 @ a1 @ a0 @ a2 )
@ ( X7 @ a1 @ a0 @ a2 )
@ ( X8 @ a1 @ a0 @ a2 )
@ ( X9 @ a1 @ a0 @ a2 )
@ ( X10 @ a1 @ a0 @ a2 )
@ ( X11 @ a1 @ a0 @ a2 )
@ ( X12 @ a1 @ a0 @ a2 )
@ ( X13 @ a1 @ a0 @ a2 )
@ ( X14 @ a1 @ a0 @ a2 )
@ ( X15 @ a1 @ a0 @ a2 )
@ ( X0 @ a1 @ a0 @ a2 )
@ ( X16 @ a1 @ a0 @ a2 )
@ ( X17 @ a1 @ a0 @ a2 )
@ ( X18 @ a1 @ a0 @ a2 )
@ ( X19 @ a1 @ a0 @ a2 )
@ ( X20 @ a1 @ a0 @ a2 )
@ ( X21 @ a1 @ a0 @ a2 )
@ ( X22 @ a1 @ a0 @ a2 )
@ ( X23 @ a1 @ a0 @ a2 )
@ ( X24 @ a1 @ a0 @ a2 )
@ ( X25 @ a1 @ a0 @ a2 )
@ ( X26 @ a1 @ a0 @ a2 )
@ ( X1 @ a1 @ a0 @ a2 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b14
@ a1
@ a0
@ a2 )
@ b23 ) )
| ( b2
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X23 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b24
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b5
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X24 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b3 )
| ( b25
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b12
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b12
@ a0
@ a2
@ a1 ) )
| ( b18
!= ( X25 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b12
@ a0
@ a1
@ a2 )
@ ( X3 @ a0 @ a1 @ a2 )
@ ( X4 @ a0 @ a1 @ a2 )
@ ( X5 @ a0 @ a1 @ a2 )
@ ( X2 @ a0 @ a1 @ a2 )
@ ( X6 @ a0 @ a1 @ a2 )
@ ( X7 @ a0 @ a1 @ a2 )
@ ( X8 @ a0 @ a1 @ a2 )
@ ( X9 @ a0 @ a1 @ a2 )
@ ( X10 @ a0 @ a1 @ a2 )
@ ( X11 @ a0 @ a1 @ a2 )
@ ( X12 @ a0 @ a1 @ a2 )
@ ( X13 @ a0 @ a1 @ a2 )
@ ( X14 @ a0 @ a1 @ a2 )
@ ( X15 @ a0 @ a1 @ a2 )
@ ( X0 @ a0 @ a1 @ a2 )
@ ( X16 @ a0 @ a1 @ a2 )
@ ( X17 @ a0 @ a1 @ a2 )
@ ( X18 @ a0 @ a1 @ a2 )
@ ( X19 @ a0 @ a1 @ a2 )
@ ( X20 @ a0 @ a1 @ a2 )
@ ( X21 @ a0 @ a1 @ a2 )
@ ( X22 @ a0 @ a1 @ a2 )
@ ( X23 @ a0 @ a1 @ a2 )
@ ( X24 @ a0 @ a1 @ a2 )
@ ( X25 @ a0 @ a1 @ a2 )
@ ( X26 @ a0 @ a1 @ a2 )
@ ( X1 @ a0 @ a1 @ a2 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b14
@ a0
@ a1
@ a2 )
@ b23 ) )
| ( b21
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b22
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X25 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b22
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X26 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b12
@ a2
@ a0
@ a1 )
@ ( X3 @ a2 @ a0 @ a1 )
@ ( X4 @ a2 @ a0 @ a1 )
@ ( X5 @ a2 @ a0 @ a1 )
@ ( X2 @ a2 @ a0 @ a1 )
@ ( X6 @ a2 @ a0 @ a1 )
@ ( X7 @ a2 @ a0 @ a1 )
@ ( X8 @ a2 @ a0 @ a1 )
@ ( X9 @ a2 @ a0 @ a1 )
@ ( X10 @ a2 @ a0 @ a1 )
@ ( X11 @ a2 @ a0 @ a1 )
@ ( X12 @ a2 @ a0 @ a1 )
@ ( X13 @ a2 @ a0 @ a1 )
@ ( X14 @ a2 @ a0 @ a1 )
@ ( X15 @ a2 @ a0 @ a1 )
@ ( X0 @ a2 @ a0 @ a1 )
@ ( X16 @ a2 @ a0 @ a1 )
@ ( X17 @ a2 @ a0 @ a1 )
@ ( X18 @ a2 @ a0 @ a1 )
@ ( X19 @ a2 @ a0 @ a1 )
@ ( X20 @ a2 @ a0 @ a1 )
@ ( X21 @ a2 @ a0 @ a1 )
@ ( X22 @ a2 @ a0 @ a1 )
@ ( X23 @ a2 @ a0 @ a1 )
@ ( X24 @ a2 @ a0 @ a1 )
@ ( X25 @ a2 @ a0 @ a1 )
@ ( X26 @ a2 @ a0 @ a1 )
@ ( X1 @ a2 @ a0 @ a1 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b14
@ a2
@ a0
@ a1 )
@ b23 ) )
| ( b8
!= ( X24 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X26 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b12
@ a2
@ a1
@ a0 )
@ ( X3 @ a2 @ a1 @ a0 )
@ ( X4 @ a2 @ a1 @ a0 )
@ ( X5 @ a2 @ a1 @ a0 )
@ ( X2 @ a2 @ a1 @ a0 )
@ ( X6 @ a2 @ a1 @ a0 )
@ ( X7 @ a2 @ a1 @ a0 )
@ ( X8 @ a2 @ a1 @ a0 )
@ ( X9 @ a2 @ a1 @ a0 )
@ ( X10 @ a2 @ a1 @ a0 )
@ ( X11 @ a2 @ a1 @ a0 )
@ ( X12 @ a2 @ a1 @ a0 )
@ ( X13 @ a2 @ a1 @ a0 )
@ ( X14 @ a2 @ a1 @ a0 )
@ ( X15 @ a2 @ a1 @ a0 )
@ ( X0 @ a2 @ a1 @ a0 )
@ ( X16 @ a2 @ a1 @ a0 )
@ ( X17 @ a2 @ a1 @ a0 )
@ ( X18 @ a2 @ a1 @ a0 )
@ ( X19 @ a2 @ a1 @ a0 )
@ ( X20 @ a2 @ a1 @ a0 )
@ ( X21 @ a2 @ a1 @ a0 )
@ ( X22 @ a2 @ a1 @ a0 )
@ ( X23 @ a2 @ a1 @ a0 )
@ ( X24 @ a2 @ a1 @ a0 )
@ ( X25 @ a2 @ a1 @ a0 )
@ ( X26 @ a2 @ a1 @ a0 )
@ ( X1 @ a2 @ a1 @ a0 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b14
@ a2
@ a1
@ a0 )
@ b23 ) )
| ( a0
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b14
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b14
@ a0
@ a2
@ a1 ) )
| ( b13
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X23 @ a1 @ a2 @ a0 ) ) ),
inference(equality_resolution,[],[f7]) ).
thf(f9,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X25: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X26: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ ( X3 @ a0 @ a1 @ a2 ) @ ( X4 @ a0 @ a1 @ a2 ) @ ( X5 @ a0 @ a1 @ a2 ) @ ( X2 @ a0 @ a1 @ a2 ) @ ( X6 @ a0 @ a1 @ a2 ) @ ( X7 @ a0 @ a1 @ a2 ) @ ( X8 @ a0 @ a1 @ a2 ) @ ( X9 @ a0 @ a1 @ a2 ) @ ( X10 @ a0 @ a1 @ a2 ) @ ( X11 @ a0 @ a1 @ a2 ) @ ( X12 @ a0 @ a1 @ a2 ) @ ( X13 @ a0 @ a1 @ a2 ) @ ( X14 @ a0 @ a1 @ a2 ) @ ( X15 @ a0 @ a1 @ a2 ) @ ( X0 @ a0 @ a1 @ a2 ) @ ( X16 @ a0 @ a1 @ a2 ) @ ( X17 @ a0 @ a1 @ a2 ) @ ( X18 @ a0 @ a1 @ a2 ) @ ( X19 @ a0 @ a1 @ a2 ) @ ( X20 @ a0 @ a1 @ a2 ) @ ( X21 @ a0 @ a1 @ a2 ) @ ( X22 @ a0 @ a1 @ a2 ) @ ( X23 @ a0 @ a1 @ a2 ) @ ( X24 @ a0 @ a1 @ a2 ) @ ( X25 @ a0 @ a1 @ a2 ) @ ( X26 @ a0 @ a1 @ a2 ) @ ( X1 @ a0 @ a1 @ a2 ) @ b14 @ b23 ) )
| ( b25
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b3 )
| ( b14 != b14 )
| ( a2
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X24 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X25 @ a0 @ a2 @ a1 ) )
| ( b12 != b12 )
| ( b19
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ ( X23 @ a1 @ a0 @ a2 ) @ ( X24 @ a1 @ a0 @ a2 ) @ ( X25 @ a1 @ a0 @ a2 ) @ ( X26 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ b14 @ b23 ) )
| ( a2
!= ( X23 @ a0 @ a2 @ a1 ) )
| ( b22
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b24
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X26 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X24 @ a1 @ a2 @ a0 ) )
| ( b22
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X23 @ a1 @ a2 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ ( X3 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X0 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ ( X23 @ a2 @ a0 @ a1 ) @ ( X24 @ a2 @ a0 @ a1 ) @ ( X25 @ a2 @ a0 @ a1 ) @ ( X26 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ b14 @ b23 ) )
| ( b6
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X26 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X25 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ ( X3 @ a2 @ a1 @ a0 ) @ ( X4 @ a2 @ a1 @ a0 ) @ ( X5 @ a2 @ a1 @ a0 ) @ ( X2 @ a2 @ a1 @ a0 ) @ ( X6 @ a2 @ a1 @ a0 ) @ ( X7 @ a2 @ a1 @ a0 ) @ ( X8 @ a2 @ a1 @ a0 ) @ ( X9 @ a2 @ a1 @ a0 ) @ ( X10 @ a2 @ a1 @ a0 ) @ ( X11 @ a2 @ a1 @ a0 ) @ ( X12 @ a2 @ a1 @ a0 ) @ ( X13 @ a2 @ a1 @ a0 ) @ ( X14 @ a2 @ a1 @ a0 ) @ ( X15 @ a2 @ a1 @ a0 ) @ ( X0 @ a2 @ a1 @ a0 ) @ ( X16 @ a2 @ a1 @ a0 ) @ ( X17 @ a2 @ a1 @ a0 ) @ ( X18 @ a2 @ a1 @ a0 ) @ ( X19 @ a2 @ a1 @ a0 ) @ ( X20 @ a2 @ a1 @ a0 ) @ ( X21 @ a2 @ a1 @ a0 ) @ ( X22 @ a2 @ a1 @ a0 ) @ ( X23 @ a2 @ a1 @ a0 ) @ ( X24 @ a2 @ a1 @ a0 ) @ ( X25 @ a2 @ a1 @ a0 ) @ ( X26 @ a2 @ a1 @ a0 ) @ ( X1 @ a2 @ a1 @ a0 ) @ b14 @ b23 ) ) ),
inference(beta-eta_normalization,[],[f8]) ).
thf(f10,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X25: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X26: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ ( X3 @ a2 @ a1 @ a0 ) @ ( X4 @ a2 @ a1 @ a0 ) @ ( X5 @ a2 @ a1 @ a0 ) @ ( X2 @ a2 @ a1 @ a0 ) @ ( X6 @ a2 @ a1 @ a0 ) @ ( X7 @ a2 @ a1 @ a0 ) @ ( X8 @ a2 @ a1 @ a0 ) @ ( X9 @ a2 @ a1 @ a0 ) @ ( X10 @ a2 @ a1 @ a0 ) @ ( X11 @ a2 @ a1 @ a0 ) @ ( X12 @ a2 @ a1 @ a0 ) @ ( X13 @ a2 @ a1 @ a0 ) @ ( X14 @ a2 @ a1 @ a0 ) @ ( X15 @ a2 @ a1 @ a0 ) @ ( X0 @ a2 @ a1 @ a0 ) @ ( X16 @ a2 @ a1 @ a0 ) @ ( X17 @ a2 @ a1 @ a0 ) @ ( X18 @ a2 @ a1 @ a0 ) @ ( X19 @ a2 @ a1 @ a0 ) @ ( X20 @ a2 @ a1 @ a0 ) @ ( X21 @ a2 @ a1 @ a0 ) @ ( X22 @ a2 @ a1 @ a0 ) @ ( X23 @ a2 @ a1 @ a0 ) @ ( X24 @ a2 @ a1 @ a0 ) @ ( X25 @ a2 @ a1 @ a0 ) @ ( X26 @ a2 @ a1 @ a0 ) @ ( X1 @ a2 @ a1 @ a0 ) @ b14 @ b23 ) )
| ( b13
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ ( X3 @ a0 @ a1 @ a2 ) @ ( X4 @ a0 @ a1 @ a2 ) @ ( X5 @ a0 @ a1 @ a2 ) @ ( X2 @ a0 @ a1 @ a2 ) @ ( X6 @ a0 @ a1 @ a2 ) @ ( X7 @ a0 @ a1 @ a2 ) @ ( X8 @ a0 @ a1 @ a2 ) @ ( X9 @ a0 @ a1 @ a2 ) @ ( X10 @ a0 @ a1 @ a2 ) @ ( X11 @ a0 @ a1 @ a2 ) @ ( X12 @ a0 @ a1 @ a2 ) @ ( X13 @ a0 @ a1 @ a2 ) @ ( X14 @ a0 @ a1 @ a2 ) @ ( X15 @ a0 @ a1 @ a2 ) @ ( X0 @ a0 @ a1 @ a2 ) @ ( X16 @ a0 @ a1 @ a2 ) @ ( X17 @ a0 @ a1 @ a2 ) @ ( X18 @ a0 @ a1 @ a2 ) @ ( X19 @ a0 @ a1 @ a2 ) @ ( X20 @ a0 @ a1 @ a2 ) @ ( X21 @ a0 @ a1 @ a2 ) @ ( X22 @ a0 @ a1 @ a2 ) @ ( X23 @ a0 @ a1 @ a2 ) @ ( X24 @ a0 @ a1 @ a2 ) @ ( X25 @ a0 @ a1 @ a2 ) @ ( X26 @ a0 @ a1 @ a2 ) @ ( X1 @ a0 @ a1 @ a2 ) @ b14 @ b23 ) )
| ( b10
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ ( X23 @ a1 @ a0 @ a2 ) @ ( X24 @ a1 @ a0 @ a2 ) @ ( X25 @ a1 @ a0 @ a2 ) @ ( X26 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ b14 @ b23 ) )
| ( b15
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b5
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X24 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X23 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X23 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b3 )
| ( b26
!= ( X26 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X26 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b22
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b22
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b24
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ ( X3 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X0 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ ( X23 @ a2 @ a0 @ a1 ) @ ( X24 @ a2 @ a0 @ a1 ) @ ( X25 @ a2 @ a0 @ a1 ) @ ( X26 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ b14 @ b23 ) )
| ( b8
!= ( X24 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X25 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X25 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X16 @ a0 @ a2 @ a1 ) ) ),
inference(trivial_inequality_removal,[],[f9]) ).
thf(f11,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
( ( a1
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b13
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X23 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X24 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b24
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b24
@ a0
@ a2
@ a1 ) )
| ( b17
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b22
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b22
@ a1
@ a2
@ a0 ) )
| ( b11
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b13 )
| ( b8
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b9
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X23 @ a0 @ a2 @ a1 ) )
| ( b24
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b24
@ a1
@ a2
@ a0 ) )
| ( b17
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X23 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X22 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X24 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X24 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X21 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b22
@ a1
@ a0
@ a2 )
@ ( X4 @ a1 @ a0 @ a2 )
@ ( X5 @ a1 @ a0 @ a2 )
@ ( X0 @ a1 @ a0 @ a2 )
@ ( X6 @ a1 @ a0 @ a2 )
@ ( X3 @ a1 @ a0 @ a2 )
@ ( X7 @ a1 @ a0 @ a2 )
@ ( X8 @ a1 @ a0 @ a2 )
@ ( X1 @ a1 @ a0 @ a2 )
@ ( X2 @ a1 @ a0 @ a2 )
@ ( X9 @ a1 @ a0 @ a2 )
@ ( X10 @ a1 @ a0 @ a2 )
@ ( X11 @ a1 @ a0 @ a2 )
@ ( X12 @ a1 @ a0 @ a2 )
@ ( X13 @ a1 @ a0 @ a2 )
@ ( X14 @ a1 @ a0 @ a2 )
@ ( X15 @ a1 @ a0 @ a2 )
@ ( X16 @ a1 @ a0 @ a2 )
@ ( X17 @ a1 @ a0 @ a2 )
@ ( X18 @ a1 @ a0 @ a2 )
@ ( X19 @ a1 @ a0 @ a2 )
@ ( X20 @ a1 @ a0 @ a2 )
@ ( X21 @ a1 @ a0 @ a2 )
@ ( X22 @ a1 @ a0 @ a2 )
@ ( X23 @ a1 @ a0 @ a2 )
@ ( X24 @ a1 @ a0 @ a2 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b24
@ a1
@ a0
@ a2 )
@ b14
@ b23 ) )
| ( a2
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b5
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b22
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b22
@ a0
@ a2
@ a1 ) )
| ( b25
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b22
@ a0
@ a1
@ a2 )
@ ( X4 @ a0 @ a1 @ a2 )
@ ( X5 @ a0 @ a1 @ a2 )
@ ( X0 @ a0 @ a1 @ a2 )
@ ( X6 @ a0 @ a1 @ a2 )
@ ( X3 @ a0 @ a1 @ a2 )
@ ( X7 @ a0 @ a1 @ a2 )
@ ( X8 @ a0 @ a1 @ a2 )
@ ( X1 @ a0 @ a1 @ a2 )
@ ( X2 @ a0 @ a1 @ a2 )
@ ( X9 @ a0 @ a1 @ a2 )
@ ( X10 @ a0 @ a1 @ a2 )
@ ( X11 @ a0 @ a1 @ a2 )
@ ( X12 @ a0 @ a1 @ a2 )
@ ( X13 @ a0 @ a1 @ a2 )
@ ( X14 @ a0 @ a1 @ a2 )
@ ( X15 @ a0 @ a1 @ a2 )
@ ( X16 @ a0 @ a1 @ a2 )
@ ( X17 @ a0 @ a1 @ a2 )
@ ( X18 @ a0 @ a1 @ a2 )
@ ( X19 @ a0 @ a1 @ a2 )
@ ( X20 @ a0 @ a1 @ a2 )
@ ( X21 @ a0 @ a1 @ a2 )
@ ( X22 @ a0 @ a1 @ a2 )
@ ( X23 @ a0 @ a1 @ a2 )
@ ( X24 @ a0 @ a1 @ a2 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b24
@ a0
@ a1
@ a2 )
@ b14
@ b23 ) )
| ( a2
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b22
@ a2
@ a0
@ a1 )
@ ( X4 @ a2 @ a0 @ a1 )
@ ( X5 @ a2 @ a0 @ a1 )
@ ( X0 @ a2 @ a0 @ a1 )
@ ( X6 @ a2 @ a0 @ a1 )
@ ( X3 @ a2 @ a0 @ a1 )
@ ( X7 @ a2 @ a0 @ a1 )
@ ( X8 @ a2 @ a0 @ a1 )
@ ( X1 @ a2 @ a0 @ a1 )
@ ( X2 @ a2 @ a0 @ a1 )
@ ( X9 @ a2 @ a0 @ a1 )
@ ( X10 @ a2 @ a0 @ a1 )
@ ( X11 @ a2 @ a0 @ a1 )
@ ( X12 @ a2 @ a0 @ a1 )
@ ( X13 @ a2 @ a0 @ a1 )
@ ( X14 @ a2 @ a0 @ a1 )
@ ( X15 @ a2 @ a0 @ a1 )
@ ( X16 @ a2 @ a0 @ a1 )
@ ( X17 @ a2 @ a0 @ a1 )
@ ( X18 @ a2 @ a0 @ a1 )
@ ( X19 @ a2 @ a0 @ a1 )
@ ( X20 @ a2 @ a0 @ a1 )
@ ( X21 @ a2 @ a0 @ a1 )
@ ( X22 @ a2 @ a0 @ a1 )
@ ( X23 @ a2 @ a0 @ a1 )
@ ( X24 @ a2 @ a0 @ a1 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b24
@ a2
@ a0
@ a1 )
@ b14
@ b23 ) ) ),
inference(equality_resolution,[],[f10]) ).
thf(f12,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
( ( a0
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X21 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X23 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X22 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X24 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ ( X23 @ a1 @ a0 @ a2 ) @ ( X24 @ a1 @ a0 @ a2 ) @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X0 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ ( X23 @ a2 @ a0 @ a1 ) @ ( X24 @ a2 @ a0 @ a1 ) @ b24 @ b14 @ b23 ) )
| ( b17
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X23 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X23 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b22 != b22 )
| ( b1
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b5
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b13 )
| ( b4
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( a1
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X4 @ a0 @ a1 @ a2 ) @ ( X5 @ a0 @ a1 @ a2 ) @ ( X0 @ a0 @ a1 @ a2 ) @ ( X6 @ a0 @ a1 @ a2 ) @ ( X3 @ a0 @ a1 @ a2 ) @ ( X7 @ a0 @ a1 @ a2 ) @ ( X8 @ a0 @ a1 @ a2 ) @ ( X1 @ a0 @ a1 @ a2 ) @ ( X2 @ a0 @ a1 @ a2 ) @ ( X9 @ a0 @ a1 @ a2 ) @ ( X10 @ a0 @ a1 @ a2 ) @ ( X11 @ a0 @ a1 @ a2 ) @ ( X12 @ a0 @ a1 @ a2 ) @ ( X13 @ a0 @ a1 @ a2 ) @ ( X14 @ a0 @ a1 @ a2 ) @ ( X15 @ a0 @ a1 @ a2 ) @ ( X16 @ a0 @ a1 @ a2 ) @ ( X17 @ a0 @ a1 @ a2 ) @ ( X18 @ a0 @ a1 @ a2 ) @ ( X19 @ a0 @ a1 @ a2 ) @ ( X20 @ a0 @ a1 @ a2 ) @ ( X21 @ a0 @ a1 @ a2 ) @ ( X22 @ a0 @ a1 @ a2 ) @ ( X23 @ a0 @ a1 @ a2 ) @ ( X24 @ a0 @ a1 @ a2 ) @ b24 @ b14 @ b23 ) )
| ( b26
!= ( X24 @ a0 @ a2 @ a1 ) )
| ( b22 != b22 )
| ( b20
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X24 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b9
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b24 != b24 )
| ( b25
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b13
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b24 != b24 ) ),
inference(beta-eta_normalization,[],[f11]) ).
thf(f13,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
( ( b19
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X24 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X23 @ a2 @ a1 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b13 )
| ( b11
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( a1
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( X24 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b22 != b22 )
| ( b11
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X21 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X4 @ a0 @ a1 @ a2 ) @ ( X5 @ a0 @ a1 @ a2 ) @ ( X0 @ a0 @ a1 @ a2 ) @ ( X6 @ a0 @ a1 @ a2 ) @ ( X3 @ a0 @ a1 @ a2 ) @ ( X7 @ a0 @ a1 @ a2 ) @ ( X8 @ a0 @ a1 @ a2 ) @ ( X1 @ a0 @ a1 @ a2 ) @ ( X2 @ a0 @ a1 @ a2 ) @ ( X9 @ a0 @ a1 @ a2 ) @ ( X10 @ a0 @ a1 @ a2 ) @ ( X11 @ a0 @ a1 @ a2 ) @ ( X12 @ a0 @ a1 @ a2 ) @ ( X13 @ a0 @ a1 @ a2 ) @ ( X14 @ a0 @ a1 @ a2 ) @ ( X15 @ a0 @ a1 @ a2 ) @ ( X16 @ a0 @ a1 @ a2 ) @ ( X17 @ a0 @ a1 @ a2 ) @ ( X18 @ a0 @ a1 @ a2 ) @ ( X19 @ a0 @ a1 @ a2 ) @ ( X20 @ a0 @ a1 @ a2 ) @ ( X21 @ a0 @ a1 @ a2 ) @ ( X22 @ a0 @ a1 @ a2 ) @ ( X23 @ a0 @ a1 @ a2 ) @ ( X24 @ a0 @ a1 @ a2 ) @ b24 @ b14 @ b23 ) )
| ( b16
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X23 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X23 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X24 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b24 != b24 )
| ( b0
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b5
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b5
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X0 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ ( X23 @ a2 @ a0 @ a1 ) @ ( X24 @ a2 @ a0 @ a1 ) @ b24 @ b14 @ b23 ) )
| ( b3
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X22 @ a2 @ a1 @ a0 ) )
| ( b13
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ ( X23 @ a1 @ a0 @ a2 ) @ ( X24 @ a1 @ a0 @ a2 ) @ b24 @ b14 @ b23 ) )
| ( b15
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X19 @ a1 @ a2 @ a0 ) ) ),
inference(duplicate_literal_removal,[],[f12]) ).
thf(f14,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X4: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X24: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X23: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a1 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X4 @ a0 @ a1 @ a2 ) @ ( X5 @ a0 @ a1 @ a2 ) @ ( X0 @ a0 @ a1 @ a2 ) @ ( X6 @ a0 @ a1 @ a2 ) @ ( X3 @ a0 @ a1 @ a2 ) @ ( X7 @ a0 @ a1 @ a2 ) @ ( X8 @ a0 @ a1 @ a2 ) @ ( X1 @ a0 @ a1 @ a2 ) @ ( X2 @ a0 @ a1 @ a2 ) @ ( X9 @ a0 @ a1 @ a2 ) @ ( X10 @ a0 @ a1 @ a2 ) @ ( X11 @ a0 @ a1 @ a2 ) @ ( X12 @ a0 @ a1 @ a2 ) @ ( X13 @ a0 @ a1 @ a2 ) @ ( X14 @ a0 @ a1 @ a2 ) @ ( X15 @ a0 @ a1 @ a2 ) @ ( X16 @ a0 @ a1 @ a2 ) @ ( X17 @ a0 @ a1 @ a2 ) @ ( X18 @ a0 @ a1 @ a2 ) @ ( X19 @ a0 @ a1 @ a2 ) @ ( X20 @ a0 @ a1 @ a2 ) @ ( X21 @ a0 @ a1 @ a2 ) @ ( X22 @ a0 @ a1 @ a2 ) @ ( X23 @ a0 @ a1 @ a2 ) @ ( X24 @ a0 @ a1 @ a2 ) @ b24 @ b14 @ b23 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ ( X23 @ a1 @ a0 @ a2 ) @ ( X24 @ a1 @ a0 @ a2 ) @ b24 @ b14 @ b23 ) )
| ( b6
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X23 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X23 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X22 @ a2 @ a1 @ a0 ) )
| ( b9
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b5
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b13 )
| ( b10
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X24 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X23 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X21 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b5
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b5
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X0 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ ( X23 @ a2 @ a0 @ a1 ) @ ( X24 @ a2 @ a0 @ a1 ) @ b24 @ b14 @ b23 ) )
| ( a2
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( a1
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b26
!= ( X24 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( X24 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X18 @ a0 @ a2 @ a1 ) ) ),
inference(trivial_inequality_removal,[],[f13]) ).
thf(f15,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X1: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X4: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X12: $i > $i > $i > $i,X5: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
( ( b20
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( a0
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b5
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b5
@ a1
@ a2
@ a0 ) )
| ( b20
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b13
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b13
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b9
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b5
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b5
@ a0
@ a2
@ a1 ) )
| ( b25
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b9
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( a1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X22 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( a1
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b5
@ a1
@ a0
@ a2 )
@ ( X0 @ a1 @ a0 @ a2 )
@ ( X1 @ a1 @ a0 @ a2 )
@ ( X2 @ a1 @ a0 @ a2 )
@ ( X3 @ a1 @ a0 @ a2 )
@ ( X4 @ a1 @ a0 @ a2 )
@ ( X5 @ a1 @ a0 @ a2 )
@ ( X6 @ a1 @ a0 @ a2 )
@ ( X7 @ a1 @ a0 @ a2 )
@ ( X8 @ a1 @ a0 @ a2 )
@ ( X9 @ a1 @ a0 @ a2 )
@ ( X10 @ a1 @ a0 @ a2 )
@ ( X11 @ a1 @ a0 @ a2 )
@ ( X12 @ a1 @ a0 @ a2 )
@ ( X13 @ a1 @ a0 @ a2 )
@ ( X14 @ a1 @ a0 @ a2 )
@ ( X15 @ a1 @ a0 @ a2 )
@ ( X16 @ a1 @ a0 @ a2 )
@ ( X17 @ a1 @ a0 @ a2 )
@ ( X18 @ a1 @ a0 @ a2 )
@ ( X19 @ a1 @ a0 @ a2 )
@ ( X20 @ a1 @ a0 @ a2 )
@ ( X21 @ a1 @ a0 @ a2 )
@ ( X22 @ a1 @ a0 @ a2 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b26
@ a1
@ a0
@ a2 )
@ b24
@ b14
@ b23 ) )
| ( b26
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b26
@ a2
@ a1
@ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b9 )
| ( b2
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b5
@ a2
@ a0
@ a1 )
@ ( X0 @ a2 @ a0 @ a1 )
@ ( X1 @ a2 @ a0 @ a1 )
@ ( X2 @ a2 @ a0 @ a1 )
@ ( X3 @ a2 @ a0 @ a1 )
@ ( X4 @ a2 @ a0 @ a1 )
@ ( X5 @ a2 @ a0 @ a1 )
@ ( X6 @ a2 @ a0 @ a1 )
@ ( X7 @ a2 @ a0 @ a1 )
@ ( X8 @ a2 @ a0 @ a1 )
@ ( X9 @ a2 @ a0 @ a1 )
@ ( X10 @ a2 @ a0 @ a1 )
@ ( X11 @ a2 @ a0 @ a1 )
@ ( X12 @ a2 @ a0 @ a1 )
@ ( X13 @ a2 @ a0 @ a1 )
@ ( X14 @ a2 @ a0 @ a1 )
@ ( X15 @ a2 @ a0 @ a1 )
@ ( X16 @ a2 @ a0 @ a1 )
@ ( X17 @ a2 @ a0 @ a1 )
@ ( X18 @ a2 @ a0 @ a1 )
@ ( X19 @ a2 @ a0 @ a1 )
@ ( X20 @ a2 @ a0 @ a1 )
@ ( X21 @ a2 @ a0 @ a1 )
@ ( X22 @ a2 @ a0 @ a1 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b26
@ a2
@ a0
@ a1 )
@ b24
@ b14
@ b23 ) )
| ( b19
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b26
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b26
@ a0
@ a2
@ a1 ) )
| ( b6
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X19 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( a2
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( a2
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X22 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X21 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X21 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b5
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b5
@ a2
@ a1
@ a0 ) )
| ( b1
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b26
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b26
@ a1
@ a2
@ a0 ) )
| ( a2
!= ( X20 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X11 @ a2 @ a1 @ a0 ) ) ),
inference(equality_resolution,[],[f14]) ).
thf(f16,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X16: $i > $i > $i > $i,X18: $i > $i > $i > $i,X19: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
( ( b15
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b13
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X22 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( X22 @ a0 @ a1 @ a2 ) )
| ( b5 != b5 )
| ( b5 != b5 )
| ( b18
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ ( X0 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ b26 @ b24 @ b14 @ b23 ) )
| ( b7
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( a1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ ( X0 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ b26 @ b24 @ b14 @ b23 ) )
| ( b13
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b26 != b26 )
| ( b0
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X20 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b13
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b26 != b26 )
| ( b17
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b13
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( a1
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b9
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b9 )
| ( b6
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( a2
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b26 != b26 )
| ( b19
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X21 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b5 != b5 )
| ( b18
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X19 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X21 @ a2 @ a1 @ a0 ) ) ),
inference(beta-eta_normalization,[],[f15]) ).
thf(f17,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X18: $i > $i > $i > $i,X19: $i > $i > $i > $i,X6: $i > $i > $i > $i,X16: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X7: $i > $i > $i > $i,X8: $i > $i > $i > $i,X9: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X22: $i > $i > $i > $i,X12: $i > $i > $i > $i,X5: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
( ( b17
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b9
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X21 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b13
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b13
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X19 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( X22 @ a0 @ a1 @ a2 ) )
| ( a0
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b9
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X21 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b13
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( X22 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b26 != b26 )
| ( b20
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ ( X0 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ b26 @ b24 @ b14 @ b23 ) )
| ( b7
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b13
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b9 )
| ( a1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ ( X0 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ b26 @ b24 @ b14 @ b23 ) )
| ( a1
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( a2
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b5 != b5 )
| ( b0
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X20 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X3 @ a2 @ a1 @ a0 ) ) ),
inference(duplicate_literal_removal,[],[f16]) ).
thf(f18,plain,
! [X2: $i > $i > $i > $i,X21: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X16: $i > $i > $i > $i,X18: $i > $i > $i > $i,X19: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X22: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ ( X0 @ a2 @ a0 @ a1 ) @ ( X1 @ a2 @ a0 @ a1 ) @ ( X2 @ a2 @ a0 @ a1 ) @ ( X3 @ a2 @ a0 @ a1 ) @ ( X4 @ a2 @ a0 @ a1 ) @ ( X5 @ a2 @ a0 @ a1 ) @ ( X6 @ a2 @ a0 @ a1 ) @ ( X7 @ a2 @ a0 @ a1 ) @ ( X8 @ a2 @ a0 @ a1 ) @ ( X9 @ a2 @ a0 @ a1 ) @ ( X10 @ a2 @ a0 @ a1 ) @ ( X11 @ a2 @ a0 @ a1 ) @ ( X12 @ a2 @ a0 @ a1 ) @ ( X13 @ a2 @ a0 @ a1 ) @ ( X14 @ a2 @ a0 @ a1 ) @ ( X15 @ a2 @ a0 @ a1 ) @ ( X16 @ a2 @ a0 @ a1 ) @ ( X17 @ a2 @ a0 @ a1 ) @ ( X18 @ a2 @ a0 @ a1 ) @ ( X19 @ a2 @ a0 @ a1 ) @ ( X20 @ a2 @ a0 @ a1 ) @ ( X21 @ a2 @ a0 @ a1 ) @ ( X22 @ a2 @ a0 @ a1 ) @ b26 @ b24 @ b14 @ b23 ) )
| ( b2
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X19 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b18
!= ( X22 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X21 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X22 @ a0 @ a1 @ a2 ) )
| ( b16
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( a2
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b9
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b18
!= ( X22 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X21 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b9 )
| ( b18
!= ( X22 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b13
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X21 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ ( X0 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X9 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X21 @ a1 @ a0 @ a2 ) @ ( X22 @ a1 @ a0 @ a2 ) @ b26 @ b24 @ b14 @ b23 ) )
| ( b10
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( a2
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( a0
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( a1
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X21 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( a0
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( a1
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X20 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b13
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X15 @ a0 @ a1 @ a2 ) ) ),
inference(trivial_inequality_removal,[],[f17]) ).
thf(f19,plain,
! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X19: $i > $i > $i > $i,X6: $i > $i > $i > $i,X7: $i > $i > $i > $i,X9: $i > $i > $i > $i,X4: $i > $i > $i > $i,X16: $i > $i > $i > $i,X14: $i > $i > $i > $i,X18: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
( ( b4
!= ( X19 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b16
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b16
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b18
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b18
@ a0
@ a1
@ a2 ) )
| ( b13
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( a0
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b17
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X19 @ a2 @ a0 @ a1 ) )
| ( b9
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b9
@ a0
@ a1
@ a2 ) )
| ( a2
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( a1
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( a1
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b18
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b18
@ a1
@ a2
@ a0 ) )
| ( b18
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b18
@ a2
@ a1
@ a0 ) )
| ( b7
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( b3
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( a0
!= ( X20 @ a2 @ a0 @ a1 ) )
| ( a2
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b0
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b9
@ a1
@ a0
@ a2 )
@ ( X9 @ a1 @ a0 @ a2 )
@ ( X5 @ a1 @ a0 @ a2 )
@ ( X1 @ a1 @ a0 @ a2 )
@ ( X7 @ a1 @ a0 @ a2 )
@ ( X2 @ a1 @ a0 @ a2 )
@ ( X16 @ a1 @ a0 @ a2 )
@ ( X0 @ a1 @ a0 @ a2 )
@ ( X8 @ a1 @ a0 @ a2 )
@ ( X17 @ a1 @ a0 @ a2 )
@ ( X15 @ a1 @ a0 @ a2 )
@ ( X11 @ a1 @ a0 @ a2 )
@ ( X10 @ a1 @ a0 @ a2 )
@ ( X18 @ a1 @ a0 @ a2 )
@ ( X19 @ a1 @ a0 @ a2 )
@ ( X4 @ a1 @ a0 @ a2 )
@ ( X12 @ a1 @ a0 @ a2 )
@ ( X14 @ a1 @ a0 @ a2 )
@ ( X20 @ a1 @ a0 @ a2 )
@ ( X3 @ a1 @ a0 @ a2 )
@ ( X13 @ a1 @ a0 @ a2 )
@ ( X6 @ a1 @ a0 @ a2 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i] : b18
@ a1
@ a0
@ a2 )
@ b26
@ b24
@ b14
@ b23 ) )
| ( a0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( a2
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b9
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b9
@ a0
@ a2
@ a1 ) )
| ( b10
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X20 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( a2
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b3
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b18
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b18
@ a0
@ a2
@ a1 ) )
| ( b15
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X15 @ a2 @ a0 @ a1 ) )
| ( b6
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b9
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b9
@ a1
@ a2
@ a0 ) )
| ( b11
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b13
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b2 )
| ( b15
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( b9
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b9
@ a2
@ a1
@ a0 ) )
| ( b6
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X12 @ a0 @ a2 @ a1 ) ) ),
inference(equality_resolution,[],[f18]) ).
thf(f20,plain,
! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X18: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X16: $i > $i > $i > $i,X19: $i > $i > $i > $i,X4: $i > $i > $i > $i,X14: $i > $i > $i > $i,X6: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
( ( a0
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b13
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ ( X9 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( b10
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b18 != b18 )
| ( b25
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b18 != b18 )
| ( b17
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b18 != b18 )
| ( b3
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b17
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X19 @ a0 @ a1 @ a2 ) )
| ( a2
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b9 != b9 )
| ( b17
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b16
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b25
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( a0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( a1
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b13
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( a1
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b9 != b9 )
| ( b2
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( b13
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X20 @ a2 @ a0 @ a1 ) )
| ( a2
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b0
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( b9 != b9 )
| ( b10
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( b25
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( b17
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b18 != b18 )
| ( b19
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( a2
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( a0
!= ( X20 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X15 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b3
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b2 )
| ( b13
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b9 != b9 )
| ( b19
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X19 @ a2 @ a0 @ a1 ) )
| ( b25
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b16
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( a0
!= ( X20 @ a1 @ a2 @ a0 ) ) ),
inference(beta-eta_normalization,[],[f19]) ).
thf(f21,plain,
! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X8: $i > $i > $i > $i,X16: $i > $i > $i > $i,X19: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
( ( b20
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b9 != b9 )
| ( b11
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b13
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( a0
!= ( X20 @ a2 @ a0 @ a1 ) )
| ( a1
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b25
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b18 != b18 )
| ( b20
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( a1
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ ( X9 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( b4
!= ( X19 @ a0 @ a1 @ a2 ) )
| ( b13
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b3
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b15
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( b16
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( a0
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X20 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b2 )
| ( b11
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b15
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( a2
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b13
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( a2
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b6
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b13
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b17
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X19 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( b25
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X15 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( b13
!= ( X9 @ a2 @ a0 @ a1 ) ) ),
inference(duplicate_literal_removal,[],[f20]) ).
thf(f22,plain,
! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X18: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X16: $i > $i > $i > $i,X19: $i > $i > $i > $i,X4: $i > $i > $i > $i,X14: $i > $i > $i > $i,X6: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i,X20: $i > $i > $i > $i] :
( ( ( f @ b12 @ b22 @ b5 @ b9 @ b13 @ b25 @ b0 @ b16 @ b19 @ b1 @ b2 @ b15 @ b7 @ b21 @ b10 @ b3 @ b6 @ b4 @ b20 @ b17 @ a0 @ a0 @ b11 @ a2 @ b8 @ b18 @ b26 @ b24 @ b14 @ b23 )
!= ( f @ b12 @ b22 @ b5 @ b9 @ ( X9 @ a1 @ a0 @ a2 ) @ ( X5 @ a1 @ a0 @ a2 ) @ ( X1 @ a1 @ a0 @ a2 ) @ ( X7 @ a1 @ a0 @ a2 ) @ ( X2 @ a1 @ a0 @ a2 ) @ ( X16 @ a1 @ a0 @ a2 ) @ ( X0 @ a1 @ a0 @ a2 ) @ ( X8 @ a1 @ a0 @ a2 ) @ ( X17 @ a1 @ a0 @ a2 ) @ ( X15 @ a1 @ a0 @ a2 ) @ ( X11 @ a1 @ a0 @ a2 ) @ ( X10 @ a1 @ a0 @ a2 ) @ ( X18 @ a1 @ a0 @ a2 ) @ ( X19 @ a1 @ a0 @ a2 ) @ ( X4 @ a1 @ a0 @ a2 ) @ ( X12 @ a1 @ a0 @ a2 ) @ ( X14 @ a1 @ a0 @ a2 ) @ ( X20 @ a1 @ a0 @ a2 ) @ ( X3 @ a1 @ a0 @ a2 ) @ ( X13 @ a1 @ a0 @ a2 ) @ ( X6 @ a1 @ a0 @ a2 ) @ b18 @ b26 @ b24 @ b14 @ b23 ) )
| ( b15
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( a0
!= ( X20 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b8
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b2 )
| ( b25
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b15
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X19 @ a2 @ a0 @ a1 ) )
| ( b8
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X20 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b10
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X15 @ a2 @ a0 @ a1 ) )
| ( a2
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b6
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X19 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X20 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b13
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( a1
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b13
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X20 @ a2 @ a0 @ a1 ) )
| ( b15
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b25
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( a1
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( a2
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( a2
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X19 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X19 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b25
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( a0
!= ( X20 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X19 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X0 @ a2 @ a1 @ a0 ) ) ),
inference(trivial_inequality_removal,[],[f21]) ).
thf(f23,plain,
! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X1: $i > $i > $i > $i,X8: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X6: $i > $i > $i > $i,X4: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i] :
( ( a2
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X2 @ a1 @ a0 @ a2 ) )
| ( b7
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b8
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b8
@ a2
@ a0
@ a1 ) )
| ( b15
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X16 @ a1 @ a0 @ a2 ) )
| ( b2
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X4 @ a1 @ a0 @ a2 ) )
| ( b6
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X9 @ a1 @ a0 @ a2 ) )
| ( b17
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( a0
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b13
@ a0
@ a2
@ a1 ) )
| ( b16
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b8
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b8
@ a1
@ a2
@ a0 ) )
| ( b0
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( b21
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X18 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b16
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X13 @ a1 @ a0 @ a2 ) )
| ( b21
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X3 @ a1 @ a0 @ a2 ) )
| ( a2
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b8
@ a0
@ a2
@ a1 ) )
| ( b16
!= ( X17 @ a1 @ a0 @ a2 ) )
| ( b4
!= ( X14 @ a1 @ a0 @ a2 ) )
| ( a2
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( a1
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X5 @ a1 @ a0 @ a2 ) )
| ( b21
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X7 @ a1 @ a0 @ a2 ) )
| ( b13
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b13
@ a2
@ a1
@ a0 ) )
| ( b11
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( a2
!= ( X11 @ a1 @ a0 @ a2 ) )
| ( b4
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X8 @ a1 @ a0 @ a2 ) )
| ( b16
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( b21
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b0
!= ( X1 @ a1 @ a0 @ a2 ) )
| ( b17
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X10 @ a1 @ a0 @ a2 ) )
| ( b8
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b8
@ a2
@ a1
@ a0 ) )
| ( b21
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X15 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X15 @ a1 @ a0 @ a2 ) )
| ( b3
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b13
@ a1
@ a2
@ a0 ) )
| ( b10
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X0 @ a1 @ a0 @ a2 ) )
| ( b4
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b25
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( a2
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( b15
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b8
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b8
@ a0
@ a1
@ a2 ) )
| ( a0
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( a0
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( b0
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( a0
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b17
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( a2
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b13
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b13
@ a2
@ a0
@ a1 ) )
| ( b25
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b15 )
| ( b6
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b16
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X6 @ a1 @ a0 @ a2 ) )
| ( b2
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( a1
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X12 @ a1 @ a0 @ a2 ) )
| ( b16
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b13
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b13
@ a0
@ a1
@ a2 ) ) ),
inference(equality_resolution,[],[f22]) ).
thf(f24,plain,
! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X1: $i > $i > $i > $i,X7: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X16: $i > $i > $i > $i,X9: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i] :
( ( a2
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b8 != b8 )
| ( b1
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( a2
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( a2
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( a2
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b13 != b13 )
| ( b6
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X10 @ a1 @ a0 @ a2 ) )
| ( b0
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b21
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X1 @ a1 @ a0 @ a2 ) )
| ( b16
!= ( X17 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X13 @ a1 @ a0 @ a2 ) )
| ( b4
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b13 != b13 )
| ( b16
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( b6
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X6 @ a1 @ a0 @ a2 ) )
| ( b1
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( a0
!= ( X18 @ a1 @ a0 @ a2 ) )
| ( b11
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( a0
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( b3
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X15 @ a1 @ a0 @ a2 ) )
| ( b25
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X4 @ a1 @ a0 @ a2 ) )
| ( b13 != b13 )
| ( b11
!= ( X15 @ a2 @ a0 @ a1 ) )
| ( b10
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b16
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X14 @ a1 @ a0 @ a2 ) )
| ( b15
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( a1
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( b16
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b25
!= ( X9 @ a1 @ a0 @ a2 ) )
| ( b19
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b8 != b8 )
| ( b10
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( a0
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X2 @ a1 @ a0 @ a2 ) )
| ( b21
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X3 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X5 @ a1 @ a0 @ a2 ) )
| ( b0
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b8 != b8 )
| ( b7
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X8 @ a1 @ a0 @ a2 ) )
| ( b20
!= ( X16 @ a1 @ a0 @ a2 ) )
| ( b7
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( a1
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X7 @ a1 @ a0 @ a2 ) )
| ( a2
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b13 != b13 )
| ( b3
!= ( X12 @ a1 @ a0 @ a2 ) )
| ( b6
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b15
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b8 != b8 )
| ( b2
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b8 != b8 )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b15 )
| ( b2
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( a2
!= ( X11 @ a1 @ a0 @ a2 ) )
| ( b3
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b13 != b13 )
| ( b2
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X0 @ a1 @ a0 @ a2 ) )
| ( b25
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b4
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X15 @ a2 @ a1 @ a0 ) ) ),
inference(beta-eta_normalization,[],[f23]) ).
thf(f25,plain,
! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X18: $i > $i > $i > $i,X8: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X7: $i > $i > $i > $i,X1: $i > $i > $i > $i,X4: $i > $i > $i > $i,X14: $i > $i > $i > $i,X16: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i] :
( ( b6
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X15 @ a1 @ a0 @ a2 ) )
| ( b25
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( a0
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X1 @ a1 @ a0 @ a2 ) )
| ( b2
!= ( X8 @ a1 @ a0 @ a2 ) )
| ( b1
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b16
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X10 @ a1 @ a0 @ a2 ) )
| ( a0
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( a2
!= ( X11 @ a1 @ a0 @ a2 ) )
| ( b4
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X3 @ a1 @ a0 @ a2 ) )
| ( b21
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( a2
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( b3
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X4 @ a1 @ a0 @ a2 ) )
| ( b11
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X16 @ a1 @ a0 @ a2 ) )
| ( b16
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X15 @ a2 @ a0 @ a1 ) )
| ( a2
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b8 != b8 )
| ( b1
!= ( X6 @ a1 @ a0 @ a2 ) )
| ( b15
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b3
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X7 @ a1 @ a0 @ a2 ) )
| ( b17
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X12 @ a1 @ a0 @ a2 ) )
| ( b3
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X0 @ a1 @ a0 @ a2 ) )
| ( b20
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X18 @ a1 @ a0 @ a2 ) )
| ( b25
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( a1
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b13 != b13 )
| ( b17
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( a1
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( a2
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b0
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X13 @ a1 @ a0 @ a2 ) )
| ( a0
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b15 )
| ( b16
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( b4
!= ( X14 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b17
!= ( X2 @ a1 @ a0 @ a2 ) )
| ( b6
!= ( X5 @ a1 @ a0 @ a2 ) )
| ( b16
!= ( X17 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b21
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X9 @ a1 @ a0 @ a2 ) )
| ( b15
!= ( X0 @ a0 @ a1 @ a2 ) ) ),
inference(duplicate_literal_removal,[],[f24]) ).
thf(f26,plain,
! [X2: $i > $i > $i > $i,X3: $i > $i > $i > $i,X10: $i > $i > $i > $i,X0: $i > $i > $i > $i,X11: $i > $i > $i > $i,X1: $i > $i > $i > $i,X18: $i > $i > $i > $i,X6: $i > $i > $i > $i,X9: $i > $i > $i > $i,X16: $i > $i > $i > $i,X14: $i > $i > $i > $i,X4: $i > $i > $i > $i,X8: $i > $i > $i > $i,X7: $i > $i > $i > $i,X17: $i > $i > $i > $i,X15: $i > $i > $i > $i,X5: $i > $i > $i > $i,X12: $i > $i > $i > $i,X13: $i > $i > $i > $i] :
( ( b20
!= ( X16 @ a1 @ a0 @ a2 ) )
| ( b25
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X12 @ a1 @ a0 @ a2 ) )
| ( b1
!= ( X6 @ a1 @ a0 @ a2 ) )
| ( a2
!= ( X11 @ a1 @ a0 @ a2 ) )
| ( b0
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( b16
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b25
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( b6
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( a1
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( b15
!= ( X0 @ a1 @ a0 @ a2 ) )
| ( b6
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X18 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X13 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X2 @ a1 @ a0 @ a2 ) )
| ( b4
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X14 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X8 @ a1 @ a0 @ a2 ) )
| ( b20
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( b15
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( b3
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b16
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X1 @ a1 @ a0 @ a2 ) )
| ( b11
!= ( X15 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X2 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X9 @ a1 @ a0 @ a2 ) )
| ( b21
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X15 @ a1 @ a0 @ a2 ) )
| ( a0
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X17 @ a1 @ a0 @ a2 ) )
| ( b3
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b17
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b15 )
| ( a0
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( b0
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( a2
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b4
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( a2
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b21
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X4 @ a1 @ a0 @ a2 ) )
| ( b20
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( a0
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X5 @ a1 @ a0 @ a2 ) )
| ( b7
!= ( X3 @ a1 @ a0 @ a2 ) )
| ( b7
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b4
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X10 @ a1 @ a0 @ a2 ) )
| ( b6
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X7 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( a1
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X7 @ a2 @ a1 @ a0 ) ) ),
inference(trivial_inequality_removal,[],[f25]) ).
thf(f28,definition,
( spl0_1
<=> ! [X15: $i > $i > $i > $i] :
( ( b11
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X15 @ a0 @ a2 @ a1 ) )
| ( b11
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X15 @ a1 @ a0 @ a2 ) )
| ( b11
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X15 @ a2 @ a0 @ a1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f29,plain,
( ! [X15: $i > $i > $i > $i] :
( ( b11
!= ( X15 @ a2 @ a1 @ a0 ) )
| ( b11
!= ( X15 @ a1 @ a0 @ a2 ) )
| ( b11
!= ( X15 @ a1 @ a2 @ a0 ) )
| ( b11
!= ( X15 @ a0 @ a1 @ a2 ) )
| ( b11
!= ( X15 @ a2 @ a0 @ a1 ) )
| ( b11
!= ( X15 @ a0 @ a2 @ a1 ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
thf(f31,definition,
( spl0_2
<=> ! [X2: $i > $i > $i > $i] :
( ( b17
!= ( X2 @ a1 @ a0 @ a2 ) )
| ( b17
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X2 @ a2 @ a0 @ a1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f32,plain,
( ! [X2: $i > $i > $i > $i] :
( ( b17
!= ( X2 @ a2 @ a1 @ a0 ) )
| ( b17
!= ( X2 @ a0 @ a2 @ a1 ) )
| ( b17
!= ( X2 @ a1 @ a0 @ a2 ) )
| ( b17
!= ( X2 @ a0 @ a1 @ a2 ) )
| ( b17
!= ( X2 @ a1 @ a2 @ a0 ) )
| ( b17
!= ( X2 @ a2 @ a0 @ a1 ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f31]) ).
thf(f34,definition,
( spl0_3
<=> ! [X18: $i > $i > $i > $i] :
( ( a1
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( a1
!= ( X18 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( a2
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X18 @ a1 @ a0 @ a2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f35,plain,
( ! [X18: $i > $i > $i > $i] :
( ( a2
!= ( X18 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X18 @ a2 @ a0 @ a1 ) )
| ( a0
!= ( X18 @ a1 @ a0 @ a2 ) )
| ( a2
!= ( X18 @ a0 @ a2 @ a1 ) )
| ( a1
!= ( X18 @ a0 @ a1 @ a2 ) )
| ( a1
!= ( X18 @ a2 @ a1 @ a0 ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f34]) ).
thf(f37,definition,
( spl0_4
<=> ! [X5: $i > $i > $i > $i] :
( ( b6
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b6
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X5 @ a1 @ a0 @ a2 ) )
| ( b6
!= ( X5 @ a0 @ a1 @ a2 ) )
| ( b6
!= ( X5 @ a2 @ a1 @ a0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f38,plain,
( ! [X5: $i > $i > $i > $i] :
( ( b6
!= ( X5 @ a2 @ a1 @ a0 ) )
| ( b6
!= ( X5 @ a1 @ a0 @ a2 ) )
| ( b6
!= ( X5 @ a0 @ a2 @ a1 ) )
| ( b6
!= ( X5 @ a1 @ a2 @ a0 ) )
| ( b6
!= ( X5 @ a2 @ a0 @ a1 ) )
| ( b6
!= ( X5 @ a0 @ a1 @ a2 ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f37]) ).
thf(f40,definition,
( spl0_5
<=> ! [X16: $i > $i > $i > $i] :
( ( b20
!= ( X16 @ a1 @ a0 @ a2 ) )
| ( b20
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X16 @ a2 @ a0 @ a1 ) )
| ( b20
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X16 @ a0 @ a1 @ a2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f41,plain,
( ! [X16: $i > $i > $i > $i] :
( ( b20
!= ( X16 @ a2 @ a1 @ a0 ) )
| ( b20
!= ( X16 @ a0 @ a2 @ a1 ) )
| ( b20
!= ( X16 @ a0 @ a1 @ a2 ) )
| ( b20
!= ( X16 @ a1 @ a0 @ a2 ) )
| ( b20
!= ( X16 @ a1 @ a2 @ a0 ) )
| ( b20
!= ( X16 @ a2 @ a0 @ a1 ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f40]) ).
thf(f43,definition,
( spl0_6
<=> ! [X4: $i > $i > $i > $i] :
( ( a0
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( a0
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( a0
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X4 @ a1 @ a0 @ a2 ) )
| ( a0
!= ( X4 @ a0 @ a2 @ a1 ) )
| ( a0
!= ( X4 @ a2 @ a1 @ a0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f44,plain,
( ! [X4: $i > $i > $i > $i] :
( ( a0
!= ( X4 @ a2 @ a1 @ a0 ) )
| ( a0
!= ( X4 @ a1 @ a2 @ a0 ) )
| ( a0
!= ( X4 @ a2 @ a0 @ a1 ) )
| ( a0
!= ( X4 @ a1 @ a0 @ a2 ) )
| ( a0
!= ( X4 @ a0 @ a1 @ a2 ) )
| ( a0
!= ( X4 @ a0 @ a2 @ a1 ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f43]) ).
thf(f46,definition,
( spl0_7
<=> ! [X12: $i > $i > $i > $i] :
( ( b3
!= ( X12 @ a1 @ a0 @ a2 ) )
| ( b3
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b3
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X12 @ a0 @ a1 @ a2 ) )
| ( b3
!= ( X12 @ a1 @ a2 @ a0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f47,plain,
( ! [X12: $i > $i > $i > $i] :
( ( b3
!= ( X12 @ a2 @ a1 @ a0 ) )
| ( b3
!= ( X12 @ a1 @ a2 @ a0 ) )
| ( b3
!= ( X12 @ a2 @ a0 @ a1 ) )
| ( b3
!= ( X12 @ a1 @ a0 @ a2 ) )
| ( b3
!= ( X12 @ a0 @ a2 @ a1 ) )
| ( b3
!= ( X12 @ a0 @ a1 @ a2 ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f46]) ).
thf(f49,definition,
( spl0_8
<=> ! [X8: $i > $i > $i > $i] :
( ( b2
!= ( X8 @ a1 @ a2 @ a0 ) )
| ( b2
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X8 @ a1 @ a0 @ a2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f50,plain,
( ! [X8: $i > $i > $i > $i] :
( ( b2
!= ( X8 @ a2 @ a1 @ a0 ) )
| ( b2
!= ( X8 @ a1 @ a0 @ a2 ) )
| ( b2
!= ( X8 @ a0 @ a1 @ a2 ) )
| ( b2
!= ( X8 @ a2 @ a0 @ a1 ) )
| ( b2
!= ( X8 @ a0 @ a2 @ a1 ) )
| ( b2
!= ( X8 @ a1 @ a2 @ a0 ) ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f49]) ).
thf(f52,definition,
( spl0_9
<=> ! [X9: $i > $i > $i > $i] :
( ( b25
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X9 @ a1 @ a0 @ a2 ) )
| ( b25
!= ( X9 @ a1 @ a2 @ a0 ) )
| ( b25
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X9 @ a2 @ a0 @ a1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f53,plain,
( ! [X9: $i > $i > $i > $i] :
( ( b25
!= ( X9 @ a2 @ a1 @ a0 ) )
| ( b25
!= ( X9 @ a0 @ a2 @ a1 ) )
| ( b25
!= ( X9 @ a2 @ a0 @ a1 ) )
| ( b25
!= ( X9 @ a0 @ a1 @ a2 ) )
| ( b25
!= ( X9 @ a1 @ a0 @ a2 ) )
| ( b25
!= ( X9 @ a1 @ a2 @ a0 ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f52]) ).
thf(f55,definition,
( spl0_10
<=> ! [X13: $i > $i > $i > $i] :
( ( b10
!= ( X13 @ a1 @ a0 @ a2 ) )
| ( b10
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b10
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X13 @ a1 @ a2 @ a0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f56,plain,
( ! [X13: $i > $i > $i > $i] :
( ( b10
!= ( X13 @ a2 @ a1 @ a0 ) )
| ( b10
!= ( X13 @ a0 @ a1 @ a2 ) )
| ( b10
!= ( X13 @ a0 @ a2 @ a1 ) )
| ( b10
!= ( X13 @ a1 @ a2 @ a0 ) )
| ( b10
!= ( X13 @ a2 @ a0 @ a1 ) )
| ( b10
!= ( X13 @ a1 @ a0 @ a2 ) ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f55]) ).
thf(f58,definition,
( spl0_11
<=> ! [X11: $i > $i > $i > $i] :
( ( a2
!= ( X11 @ a1 @ a0 @ a2 ) )
| ( a2
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X11 @ a0 @ a1 @ a2 ) )
| ( a2
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X11 @ a2 @ a0 @ a1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f59,plain,
( ! [X11: $i > $i > $i > $i] :
( ( a2
!= ( X11 @ a2 @ a1 @ a0 ) )
| ( a2
!= ( X11 @ a2 @ a0 @ a1 ) )
| ( a2
!= ( X11 @ a1 @ a0 @ a2 ) )
| ( a2
!= ( X11 @ a1 @ a2 @ a0 ) )
| ( a2
!= ( X11 @ a0 @ a2 @ a1 ) )
| ( a2
!= ( X11 @ a0 @ a1 @ a2 ) ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f58]) ).
thf(f61,definition,
( spl0_12
<=> ! [X3: $i > $i > $i > $i] :
( ( b7
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X3 @ a2 @ a0 @ a1 ) )
| ( b7
!= ( X3 @ a1 @ a0 @ a2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f62,plain,
( ! [X3: $i > $i > $i > $i] :
( ( b7
!= ( X3 @ a2 @ a1 @ a0 ) )
| ( b7
!= ( X3 @ a1 @ a2 @ a0 ) )
| ( b7
!= ( X3 @ a1 @ a0 @ a2 ) )
| ( b7
!= ( X3 @ a0 @ a1 @ a2 ) )
| ( b7
!= ( X3 @ a0 @ a2 @ a1 ) )
| ( b7
!= ( X3 @ a2 @ a0 @ a1 ) ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f61]) ).
thf(f64,definition,
( spl0_13
<=> ! [X7: $i > $i > $i > $i] :
( ( b19
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X7 @ a1 @ a0 @ a2 ) )
| ( b19
!= ( X7 @ a1 @ a2 @ a0 ) )
| ( b19
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X7 @ a0 @ a2 @ a1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f65,plain,
( ! [X7: $i > $i > $i > $i] :
( ( b19
!= ( X7 @ a2 @ a1 @ a0 ) )
| ( b19
!= ( X7 @ a0 @ a1 @ a2 ) )
| ( b19
!= ( X7 @ a1 @ a0 @ a2 ) )
| ( b19
!= ( X7 @ a2 @ a0 @ a1 ) )
| ( b19
!= ( X7 @ a0 @ a2 @ a1 ) )
| ( b19
!= ( X7 @ a1 @ a2 @ a0 ) ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f64]) ).
thf(f67,definition,
( spl0_14
<=> ! [X1: $i > $i > $i > $i] :
( ( b0
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b0
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X1 @ a1 @ a0 @ a2 ) )
| ( b0
!= ( X1 @ a2 @ a1 @ a0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f68,plain,
( ! [X1: $i > $i > $i > $i] :
( ( b0
!= ( X1 @ a2 @ a1 @ a0 ) )
| ( b0
!= ( X1 @ a0 @ a2 @ a1 ) )
| ( b0
!= ( X1 @ a0 @ a1 @ a2 ) )
| ( b0
!= ( X1 @ a2 @ a0 @ a1 ) )
| ( b0
!= ( X1 @ a1 @ a2 @ a0 ) )
| ( b0
!= ( X1 @ a1 @ a0 @ a2 ) ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f67]) ).
thf(f70,definition,
( spl0_15
<=> ! [X0: $i > $i > $i > $i] :
( ( b15
!= ( X0 @ a0 @ a1 @ a2 ) )
| ( ( X0 @ a1 @ a2 @ a0 )
!= b15 )
| ( b15
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b15
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X0 @ a1 @ a0 @ a2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f71,plain,
( ! [X0: $i > $i > $i > $i] :
( ( ( X0 @ a1 @ a2 @ a0 )
!= b15 )
| ( b15
!= ( X0 @ a0 @ a2 @ a1 ) )
| ( b15
!= ( X0 @ a2 @ a1 @ a0 ) )
| ( b15
!= ( X0 @ a1 @ a0 @ a2 ) )
| ( b15
!= ( X0 @ a2 @ a0 @ a1 ) )
| ( b15
!= ( X0 @ a0 @ a1 @ a2 ) ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f73,definition,
( spl0_16
<=> ! [X17: $i > $i > $i > $i] :
( ( b16
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( b16
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X17 @ a1 @ a0 @ a2 ) )
| ( b16
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X17 @ a0 @ a1 @ a2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f74,plain,
( ! [X17: $i > $i > $i > $i] :
( ( b16
!= ( X17 @ a2 @ a1 @ a0 ) )
| ( b16
!= ( X17 @ a2 @ a0 @ a1 ) )
| ( b16
!= ( X17 @ a0 @ a2 @ a1 ) )
| ( b16
!= ( X17 @ a0 @ a1 @ a2 ) )
| ( b16
!= ( X17 @ a1 @ a2 @ a0 ) )
| ( b16
!= ( X17 @ a1 @ a0 @ a2 ) ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f73]) ).
thf(f76,definition,
( spl0_17
<=> ! [X6: $i > $i > $i > $i] :
( ( b1
!= ( X6 @ a1 @ a0 @ a2 ) )
| ( b1
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X6 @ a0 @ a2 @ a1 ) )
| ( b1
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X6 @ a2 @ a0 @ a1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f77,plain,
( ! [X6: $i > $i > $i > $i] :
( ( b1
!= ( X6 @ a2 @ a1 @ a0 ) )
| ( b1
!= ( X6 @ a0 @ a1 @ a2 ) )
| ( b1
!= ( X6 @ a1 @ a2 @ a0 ) )
| ( b1
!= ( X6 @ a2 @ a0 @ a1 ) )
| ( b1
!= ( X6 @ a1 @ a0 @ a2 ) )
| ( b1
!= ( X6 @ a0 @ a2 @ a1 ) ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f76]) ).
thf(f79,definition,
( spl0_18
<=> ! [X14: $i > $i > $i > $i] :
( ( b4
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b4
!= ( X14 @ a1 @ a2 @ a0 ) )
| ( b4
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X14 @ a1 @ a0 @ a2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f80,plain,
( ! [X14: $i > $i > $i > $i] :
( ( b4
!= ( X14 @ a2 @ a1 @ a0 ) )
| ( b4
!= ( X14 @ a2 @ a0 @ a1 ) )
| ( b4
!= ( X14 @ a0 @ a2 @ a1 ) )
| ( b4
!= ( X14 @ a0 @ a1 @ a2 ) )
| ( b4
!= ( X14 @ a1 @ a0 @ a2 ) )
| ( b4
!= ( X14 @ a1 @ a2 @ a0 ) ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f79]) ).
thf(f82,definition,
( spl0_19
<=> ! [X10: $i > $i > $i > $i] :
( ( b21
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X10 @ a1 @ a0 @ a2 ) )
| ( b21
!= ( X10 @ a1 @ a2 @ a0 ) )
| ( b21
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b21
!= ( X10 @ a2 @ a1 @ a0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f83,plain,
( ! [X10: $i > $i > $i > $i] :
( ( b21
!= ( X10 @ a2 @ a1 @ a0 ) )
| ( b21
!= ( X10 @ a0 @ a2 @ a1 ) )
| ( b21
!= ( X10 @ a0 @ a1 @ a2 ) )
| ( b21
!= ( X10 @ a1 @ a0 @ a2 ) )
| ( b21
!= ( X10 @ a2 @ a0 @ a1 ) )
| ( b21
!= ( X10 @ a1 @ a2 @ a0 ) ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f82]) ).
thf(f84,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10
| spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15
| spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f26,f82,f79,f76,f73,f70,f67,f64,f61,f58,f55,f52,f49,f46,f43,f40,f37,f34,f31,f28]) ).
thf(f85,plain,
( ( b17
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b17
@ a1
@ a2
@ a0 ) )
| ( b17
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b17
@ a0
@ a2
@ a1 ) )
| ( b17
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b17
@ a0
@ a1
@ a2 ) )
| ( b17
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b17
@ a2
@ a0
@ a1 ) )
| ( b17
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b17
@ a1
@ a0
@ a2 ) )
| ~ spl0_2 ),
inference(equality_resolution,[],[f32]) ).
thf(f86,plain,
( ( b17 != b17 )
| ( b17 != b17 )
| ( b17 != b17 )
| ( b17 != b17 )
| ( b17 != b17 )
| ~ spl0_2 ),
inference(beta-eta_normalization,[],[f85]) ).
thf(f87,plain,
( ( b17 != b17 )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f86]) ).
thf(f88,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f87]) ).
thf(f89,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f88]) ).
thf(f90,plain,
( ( a1
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : Y1
@ a2
@ a1
@ a0 ) )
| ( a2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : Y1
@ a0
@ a2
@ a1 ) )
| ( a0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : Y1
@ a2
@ a0
@ a1 ) )
| ( a0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : Y1
@ a1
@ a0
@ a2 ) )
| ( a1
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : Y1
@ a0
@ a1
@ a2 ) )
| ~ spl0_3 ),
inference(equality_resolution,[],[f35]) ).
thf(f92,plain,
( ( a0 != a0 )
| ( a2 != a2 )
| ( a1 != a1 )
| ( a1 != a1 )
| ( a0 != a0 )
| ~ spl0_3 ),
inference(beta-eta_normalization,[],[f90]) ).
thf(f93,plain,
( ( a1 != a1 )
| ( a0 != a0 )
| ( a2 != a2 )
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f92]) ).
thf(f94,plain,
( $false
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f93]) ).
thf(f95,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f94]) ).
thf(f108,plain,
( ( b6
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b6
@ a1
@ a0
@ a2 ) )
| ( b6
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b6
@ a0
@ a2
@ a1 ) )
| ( b6
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b6
@ a2
@ a0
@ a1 ) )
| ( b6
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b6
@ a0
@ a1
@ a2 ) )
| ( b6
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b6
@ a1
@ a2
@ a0 ) )
| ~ spl0_4 ),
inference(equality_resolution,[],[f38]) ).
thf(f109,plain,
( ( b6 != b6 )
| ( b6 != b6 )
| ( b6 != b6 )
| ( b6 != b6 )
| ( b6 != b6 )
| ~ spl0_4 ),
inference(beta-eta_normalization,[],[f108]) ).
thf(f110,plain,
( ( b6 != b6 )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f109]) ).
thf(f111,plain,
( $false
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f110]) ).
thf(f112,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f111]) ).
thf(f113,plain,
( ( b20
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b20
@ a0
@ a2
@ a1 ) )
| ( b20
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b20
@ a1
@ a0
@ a2 ) )
| ( b20
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b20
@ a2
@ a0
@ a1 ) )
| ( b20
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b20
@ a0
@ a1
@ a2 ) )
| ( b20
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b20
@ a1
@ a2
@ a0 ) )
| ~ spl0_5 ),
inference(equality_resolution,[],[f41]) ).
thf(f114,plain,
( ( b20 != b20 )
| ( b20 != b20 )
| ( b20 != b20 )
| ( b20 != b20 )
| ( b20 != b20 )
| ~ spl0_5 ),
inference(beta-eta_normalization,[],[f113]) ).
thf(f115,plain,
( ( b20 != b20 )
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f114]) ).
thf(f116,plain,
( $false
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f115]) ).
thf(f117,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f116]) ).
thf(f119,plain,
( ( a0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : a0
@ a2
@ a0
@ a1 ) )
| ( a0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : a0
@ a0
@ a1
@ a2 ) )
| ( a0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : a0
@ a1
@ a2
@ a0 ) )
| ( a0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : a0
@ a0
@ a2
@ a1 ) )
| ( a0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : a0
@ a1
@ a0
@ a2 ) )
| ~ spl0_6 ),
inference(equality_resolution,[],[f44]) ).
thf(f120,plain,
( ( a0 != a0 )
| ( a0 != a0 )
| ( a0 != a0 )
| ( a0 != a0 )
| ( a0 != a0 )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f119]) ).
thf(f121,plain,
( ( a0 != a0 )
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f120]) ).
thf(f122,plain,
( $false
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f121]) ).
thf(f123,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f122]) ).
thf(f132,plain,
( ( b3
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b3
@ a0
@ a2
@ a1 ) )
| ( b3
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b3
@ a1
@ a2
@ a0 ) )
| ( b3
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b3
@ a0
@ a1
@ a2 ) )
| ( b3
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b3
@ a2
@ a0
@ a1 ) )
| ( b3
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b3
@ a1
@ a0
@ a2 ) )
| ~ spl0_7 ),
inference(equality_resolution,[],[f47]) ).
thf(f133,plain,
( ( b3 != b3 )
| ( b3 != b3 )
| ( b3 != b3 )
| ( b3 != b3 )
| ( b3 != b3 )
| ~ spl0_7 ),
inference(beta-eta_normalization,[],[f132]) ).
thf(f134,plain,
( ( b3 != b3 )
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f133]) ).
thf(f135,plain,
( $false
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f134]) ).
thf(f136,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f135]) ).
thf(f137,plain,
( ( b2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b2
@ a2
@ a0
@ a1 ) )
| ( b2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b2
@ a0
@ a1
@ a2 ) )
| ( b2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b2
@ a1
@ a2
@ a0 ) )
| ( b2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b2
@ a0
@ a2
@ a1 ) )
| ( b2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b2
@ a1
@ a0
@ a2 ) )
| ~ spl0_8 ),
inference(equality_resolution,[],[f50]) ).
thf(f138,plain,
( ( b2 != b2 )
| ( b2 != b2 )
| ( b2 != b2 )
| ( b2 != b2 )
| ( b2 != b2 )
| ~ spl0_8 ),
inference(beta-eta_normalization,[],[f137]) ).
thf(f139,plain,
( ( b2 != b2 )
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f138]) ).
thf(f140,plain,
( $false
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f139]) ).
thf(f141,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f140]) ).
thf(f142,plain,
( ( b25
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b25
@ a1
@ a2
@ a0 ) )
| ( b25
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b25
@ a1
@ a0
@ a2 ) )
| ( b25
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b25
@ a0
@ a1
@ a2 ) )
| ( b25
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b25
@ a0
@ a2
@ a1 ) )
| ( b25
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b25
@ a2
@ a0
@ a1 ) )
| ~ spl0_9 ),
inference(equality_resolution,[],[f53]) ).
thf(f143,plain,
( ( b25 != b25 )
| ( b25 != b25 )
| ( b25 != b25 )
| ( b25 != b25 )
| ( b25 != b25 )
| ~ spl0_9 ),
inference(beta-eta_normalization,[],[f142]) ).
thf(f144,plain,
( ( b25 != b25 )
| ~ spl0_9 ),
inference(duplicate_literal_removal,[],[f143]) ).
thf(f145,plain,
( $false
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f144]) ).
thf(f146,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f145]) ).
thf(f147,plain,
( ( b10
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b10
@ a1
@ a2
@ a0 ) )
| ( b10
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b10
@ a0
@ a2
@ a1 ) )
| ( b10
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b10
@ a1
@ a0
@ a2 ) )
| ( b10
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b10
@ a2
@ a0
@ a1 ) )
| ( b10
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b10
@ a0
@ a1
@ a2 ) )
| ~ spl0_10 ),
inference(equality_resolution,[],[f56]) ).
thf(f148,plain,
( ( b10 != b10 )
| ( b10 != b10 )
| ( b10 != b10 )
| ( b10 != b10 )
| ( b10 != b10 )
| ~ spl0_10 ),
inference(beta-eta_normalization,[],[f147]) ).
thf(f149,plain,
( ( b10 != b10 )
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f148]) ).
thf(f150,plain,
( $false
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f149]) ).
thf(f151,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f150]) ).
thf(f153,plain,
( ( a2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : a2
@ a2
@ a0
@ a1 ) )
| ( a2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : a2
@ a1
@ a2
@ a0 ) )
| ( a2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : a2
@ a0
@ a1
@ a2 ) )
| ( a2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : a2
@ a1
@ a0
@ a2 ) )
| ( a2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : a2
@ a0
@ a2
@ a1 ) )
| ~ spl0_11 ),
inference(equality_resolution,[],[f59]) ).
thf(f157,plain,
( ( a2 != a2 )
| ( a2 != a2 )
| ( a2 != a2 )
| ( a2 != a2 )
| ( a2 != a2 )
| ~ spl0_11 ),
inference(beta-eta_normalization,[],[f153]) ).
thf(f158,plain,
( ( a2 != a2 )
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f157]) ).
thf(f159,plain,
( $false
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f158]) ).
thf(f160,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f159]) ).
thf(f162,plain,
( ( b7
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b7
@ a1
@ a2
@ a0 ) )
| ( b7
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b7
@ a2
@ a0
@ a1 ) )
| ( b7
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b7
@ a0
@ a2
@ a1 ) )
| ( b7
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b7
@ a1
@ a0
@ a2 ) )
| ( b7
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b7
@ a0
@ a1
@ a2 ) )
| ~ spl0_12 ),
inference(equality_resolution,[],[f62]) ).
thf(f163,plain,
( ( b7 != b7 )
| ( b7 != b7 )
| ( b7 != b7 )
| ( b7 != b7 )
| ( b7 != b7 )
| ~ spl0_12 ),
inference(beta-eta_normalization,[],[f162]) ).
thf(f164,plain,
( ( b7 != b7 )
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f163]) ).
thf(f165,plain,
( $false
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f164]) ).
thf(f166,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f165]) ).
thf(f167,plain,
( ( b19
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b19
@ a1
@ a0
@ a2 ) )
| ( b19
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b19
@ a0
@ a2
@ a1 ) )
| ( b19
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b19
@ a0
@ a1
@ a2 ) )
| ( b19
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b19
@ a1
@ a2
@ a0 ) )
| ( b19
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b19
@ a2
@ a0
@ a1 ) )
| ~ spl0_13 ),
inference(equality_resolution,[],[f65]) ).
thf(f168,plain,
( ( b19 != b19 )
| ( b19 != b19 )
| ( b19 != b19 )
| ( b19 != b19 )
| ( b19 != b19 )
| ~ spl0_13 ),
inference(beta-eta_normalization,[],[f167]) ).
thf(f169,plain,
( ( b19 != b19 )
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f168]) ).
thf(f170,plain,
( $false
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f169]) ).
thf(f171,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f170]) ).
thf(f172,plain,
( ( b0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b0
@ a0
@ a1
@ a2 ) )
| ( b0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b0
@ a0
@ a2
@ a1 ) )
| ( b0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b0
@ a2
@ a0
@ a1 ) )
| ( b0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b0
@ a1
@ a2
@ a0 ) )
| ( b0
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b0
@ a1
@ a0
@ a2 ) )
| ~ spl0_14 ),
inference(equality_resolution,[],[f68]) ).
thf(f173,plain,
( ( b0 != b0 )
| ( b0 != b0 )
| ( b0 != b0 )
| ( b0 != b0 )
| ( b0 != b0 )
| ~ spl0_14 ),
inference(beta-eta_normalization,[],[f172]) ).
thf(f174,plain,
( ( b0 != b0 )
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f173]) ).
thf(f175,plain,
( $false
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f174]) ).
thf(f176,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f175]) ).
thf(f177,plain,
( ( b15
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b15
@ a1
@ a0
@ a2 ) )
| ( b15
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b15
@ a2
@ a0
@ a1 ) )
| ( b15
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b15
@ a2
@ a1
@ a0 ) )
| ( b15
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b15
@ a0
@ a1
@ a2 ) )
| ( b15
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b15
@ a0
@ a2
@ a1 ) )
| ~ spl0_15 ),
inference(equality_resolution,[],[f71]) ).
thf(f178,plain,
( ( b15 != b15 )
| ( b15 != b15 )
| ( b15 != b15 )
| ( b15 != b15 )
| ( b15 != b15 )
| ~ spl0_15 ),
inference(beta-eta_normalization,[],[f177]) ).
thf(f179,plain,
( ( b15 != b15 )
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f178]) ).
thf(f180,plain,
( $false
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f179]) ).
thf(f181,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f180]) ).
thf(f182,plain,
( ( b16
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b16
@ a1
@ a2
@ a0 ) )
| ( b16
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b16
@ a1
@ a0
@ a2 ) )
| ( b16
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b16
@ a2
@ a0
@ a1 ) )
| ( b16
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b16
@ a0
@ a2
@ a1 ) )
| ( b16
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b16
@ a0
@ a1
@ a2 ) )
| ~ spl0_16 ),
inference(equality_resolution,[],[f74]) ).
thf(f183,plain,
( ( b16 != b16 )
| ( b16 != b16 )
| ( b16 != b16 )
| ( b16 != b16 )
| ( b16 != b16 )
| ~ spl0_16 ),
inference(beta-eta_normalization,[],[f182]) ).
thf(f184,plain,
( ( b16 != b16 )
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f183]) ).
thf(f185,plain,
( $false
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f184]) ).
thf(f186,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f185]) ).
thf(f187,plain,
( ( b1
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b1
@ a1
@ a0
@ a2 ) )
| ( b1
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b1
@ a0
@ a2
@ a1 ) )
| ( b1
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b1
@ a2
@ a0
@ a1 ) )
| ( b1
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b1
@ a0
@ a1
@ a2 ) )
| ( b1
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b1
@ a1
@ a2
@ a0 ) )
| ~ spl0_17 ),
inference(equality_resolution,[],[f77]) ).
thf(f188,plain,
( ( b1 != b1 )
| ( b1 != b1 )
| ( b1 != b1 )
| ( b1 != b1 )
| ( b1 != b1 )
| ~ spl0_17 ),
inference(beta-eta_normalization,[],[f187]) ).
thf(f189,plain,
( ( b1 != b1 )
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f188]) ).
thf(f190,plain,
( $false
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f189]) ).
thf(f191,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f190]) ).
thf(f192,plain,
( ( b4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b4
@ a0
@ a2
@ a1 ) )
| ( b4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b4
@ a1
@ a0
@ a2 ) )
| ( b4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b4
@ a1
@ a2
@ a0 ) )
| ( b4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b4
@ a2
@ a0
@ a1 ) )
| ( b4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b4
@ a0
@ a1
@ a2 ) )
| ~ spl0_18 ),
inference(equality_resolution,[],[f80]) ).
thf(f193,plain,
( ( b4 != b4 )
| ( b4 != b4 )
| ( b4 != b4 )
| ( b4 != b4 )
| ( b4 != b4 )
| ~ spl0_18 ),
inference(beta-eta_normalization,[],[f192]) ).
thf(f194,plain,
( ( b4 != b4 )
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f193]) ).
thf(f195,plain,
( $false
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f194]) ).
thf(f196,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f195]) ).
thf(f197,plain,
( ( b21
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b21
@ a2
@ a0
@ a1 ) )
| ( b21
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b21
@ a1
@ a0
@ a2 ) )
| ( b21
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b21
@ a1
@ a2
@ a0 ) )
| ( b21
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b21
@ a0
@ a1
@ a2 ) )
| ( b21
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b21
@ a0
@ a2
@ a1 ) )
| ~ spl0_19 ),
inference(equality_resolution,[],[f83]) ).
thf(f198,plain,
( ( b21 != b21 )
| ( b21 != b21 )
| ( b21 != b21 )
| ( b21 != b21 )
| ( b21 != b21 )
| ~ spl0_19 ),
inference(beta-eta_normalization,[],[f197]) ).
thf(f199,plain,
( ( b21 != b21 )
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f198]) ).
thf(f200,plain,
( $false
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f199]) ).
thf(f201,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f200]) ).
thf(f202,plain,
( ( b11
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b11
@ a1
@ a0
@ a2 ) )
| ( b11
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b11
@ a1
@ a2
@ a0 ) )
| ( b11
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b11
@ a0
@ a2
@ a1 ) )
| ( b11
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b11
@ a0
@ a1
@ a2 ) )
| ( b11
!= ( ^ [Y0: $i,Y1: $i,Y2: $i] : b11
@ a2
@ a0
@ a1 ) )
| ~ spl0_1 ),
inference(equality_resolution,[],[f29]) ).
thf(f203,plain,
( ( b11 != b11 )
| ( b11 != b11 )
| ( b11 != b11 )
| ( b11 != b11 )
| ( b11 != b11 )
| ~ spl0_1 ),
inference(beta-eta_normalization,[],[f202]) ).
thf(f204,plain,
( ( b11 != b11 )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f203]) ).
thf(f205,plain,
( $false
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f204]) ).
thf(f206,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f205]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10
| spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15
| spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f84]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f89]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f95]) ).
cnf(s5,plain,
~ spl0_4,
inference(sat_conversion,[],[f112]) ).
cnf(s6,plain,
~ spl0_5,
inference(sat_conversion,[],[f117]) ).
cnf(s7,plain,
~ spl0_6,
inference(sat_conversion,[],[f123]) ).
cnf(s9,plain,
~ spl0_7,
inference(sat_conversion,[],[f136]) ).
cnf(s10,plain,
~ spl0_8,
inference(sat_conversion,[],[f141]) ).
cnf(s11,plain,
~ spl0_9,
inference(sat_conversion,[],[f146]) ).
cnf(s12,plain,
~ spl0_10,
inference(sat_conversion,[],[f151]) ).
cnf(s13,plain,
~ spl0_11,
inference(sat_conversion,[],[f160]) ).
cnf(s15,plain,
~ spl0_12,
inference(sat_conversion,[],[f166]) ).
cnf(s16,plain,
~ spl0_13,
inference(sat_conversion,[],[f171]) ).
cnf(s17,plain,
~ spl0_14,
inference(sat_conversion,[],[f176]) ).
cnf(s18,plain,
~ spl0_15,
inference(sat_conversion,[],[f181]) ).
cnf(s19,plain,
~ spl0_16,
inference(sat_conversion,[],[f186]) ).
cnf(s20,plain,
~ spl0_17,
inference(sat_conversion,[],[f191]) ).
cnf(s21,plain,
~ spl0_18,
inference(sat_conversion,[],[f196]) ).
cnf(s22,plain,
~ spl0_19,
inference(sat_conversion,[],[f201]) ).
cnf(s23,plain,
~ spl0_1,
inference(sat_conversion,[],[f206]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s1,s22,s21,s20,s19,s18,s17,s16,s15,s13,s12,s11,s10,s9,s7,s6,s5,s3,s2,s23]) ).
thf(f207,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO885^1.330.100 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n019.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 17:25:03 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.21/0.28 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.41 % (1109725)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.46/0.41 % (1109730)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1378598828:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.46/0.41 % (1109736)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.46/0.41 % (1109736)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.46/0.41 % (1109732)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4078515264:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.46/0.41 % (1109734)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2669602331:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.46/0.41 % (1109733)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2628901109:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.46/0.41 % (1109735)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=570528524:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.46/0.41 % (1109736)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=1379085392:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.46/0.41 % (1109732)Instruction limit reached!
% 0.46/0.41 % (1109732)------------------------------
% 0.46/0.41 % (1109732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.41 % (1109732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.41 % (1109732)CaDiCaL version: 2.1.3
% 0.46/0.41 % (1109732)Termination reason: Instruction limit
% 0.46/0.41 % (1109732)Termination phase: shuffling
% 0.46/0.41 % (1109732)Time elapsed: 0.002 s
% 0.46/0.41 % (1109732)Peak memory usage: 9 MB
% 0.46/0.41 % (1109732)Instructions burned: 7 (million)
% 0.46/0.41 % (1109731)lrs+10_16_si=on:nwc=1.5:random_seed=3881294847:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.46/0.41 % (1109734)Instruction limit reached!
% 0.46/0.41 % (1109734)------------------------------
% 0.46/0.41 % (1109734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.41 % (1109734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.41 % (1109734)CaDiCaL version: 2.1.3
% 0.46/0.41 % (1109734)Termination reason: Instruction limit
% 0.46/0.41 % (1109734)Termination phase: Property scanning
% 0.46/0.41 % (1109734)Time elapsed: 0.009 s
% 0.46/0.41 % (1109734)Peak memory usage: 9 MB
% 0.46/0.41 % (1109734)Instructions burned: 24 (million)
% 0.46/0.41 % (1109730)Instruction limit reached!
% 0.46/0.41 % (1109730)------------------------------
% 0.46/0.41 % (1109730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.41 % (1109730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.41 % (1109730)CaDiCaL version: 2.1.3
% 0.46/0.41 % (1109730)Termination reason: Instruction limit
% 0.46/0.41 % (1109730)Termination phase: Saturation
% 0.46/0.41 % (1109730)Time elapsed: 0.018 s
% 0.46/0.41 % (1109730)Peak memory usage: 12 MB
% 0.46/0.41 % (1109730)Instructions burned: 88 (million)
% 0.46/0.41 % (1109731)Instruction limit reached!
% 0.46/0.41 % (1109731)------------------------------
% 0.46/0.41 % (1109731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.41 % (1109731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.41 % (1109731)CaDiCaL version: 2.1.3
% 0.46/0.41 % (1109731)Termination reason: Instruction limit
% 0.46/0.41 % (1109731)Termination phase: Property scanning
% 0.46/0.41 % (1109731)Time elapsed: 0.008 s
% 0.46/0.41 % (1109731)Peak memory usage: 9 MB
% 0.46/0.41 % (1109731)Instructions burned: 19 (million)
% 0.46/0.41 % (1109746)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.46/0.41 % (1109743)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2327408931:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.46/0.44 % (1109746)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3007767555:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.46/0.44 % (1109743)Instruction limit reached!
% 0.46/0.44 % (1109743)------------------------------
% 0.46/0.44 % (1109743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (1109743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (1109743)CaDiCaL version: 2.1.3
% 0.46/0.44 % (1109743)Termination reason: Instruction limit
% 0.46/0.44 % (1109743)Termination phase: Property scanning
% 0.46/0.44 % (1109743)Time elapsed: 0.001 s
% 0.46/0.44 % (1109743)Peak memory usage: 9 MB
% 0.46/0.44 % (1109743)Instructions burned: 2 (million)
% 0.46/0.44 % (1109746)Instruction limit reached!
% 0.46/0.44 % (1109746)------------------------------
% 0.46/0.44 % (1109746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (1109746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (1109746)CaDiCaL version: 2.1.3
% 0.46/0.44 % (1109746)Termination reason: Instruction limit
% 0.46/0.44 % (1109746)Termination phase: shuffling
% 0.46/0.44 % (1109746)Time elapsed: 0.002 s
% 0.46/0.44 % (1109746)Peak memory usage: 9 MB
% 0.46/0.44 % (1109746)Instructions burned: 12 (million)
% 0.46/0.44 % (1109745)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2584494350:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.46/0.44 % (1109735)Instruction limit reached!
% 0.46/0.44 % (1109735)------------------------------
% 0.46/0.44 % (1109735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (1109735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (1109735)CaDiCaL version: 2.1.3
% 0.46/0.44 % (1109735)Termination reason: Instruction limit
% 0.46/0.44 % (1109735)Termination phase: Property scanning
% 0.46/0.44 % (1109735)Time elapsed: 0.030 s
% 0.46/0.44 % (1109735)Peak memory usage: 10 MB
% 0.46/0.44 % (1109735)Instructions burned: 77 (million)
% 0.46/0.44 % (1109745)Instruction limit reached!
% 0.46/0.44 % (1109745)------------------------------
% 0.46/0.44 % (1109745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (1109745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (1109745)CaDiCaL version: 2.1.3
% 0.46/0.44 % (1109745)Termination reason: Instruction limit
% 0.46/0.44 % (1109745)Termination phase: Property scanning
% 0.46/0.44 % (1109745)Time elapsed: 0.002 s
% 0.46/0.44 % (1109745)Peak memory usage: 9 MB
% 0.46/0.44 % (1109745)Instructions burned: 5 (million)
% 0.46/0.44 % (1109747)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=304832146:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.46/0.44 % (1109736)Refutation not found, incomplete strategy
% 0.46/0.44 % (1109736)------------------------------
% 0.46/0.44 % (1109736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (1109736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.44 % (1109736)CaDiCaL version: 2.1.3
% 0.46/0.44 % (1109736)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.44 % (1109736)Time elapsed: 0.035 s
% 0.46/0.44 % (1109736)Peak memory usage: 12 MB
% 0.46/0.44 % (1109736)Instructions burned: 91 (million)
% 0.46/0.44 % (1109751)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3150980706:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.46/0.44 % (1109736)------------------------------
% 0.46/0.44 % (1109736)------------------------------
% 0.46/0.44 % (1109750)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.46/0.44 % (1109750)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.46/0.44 % (1109747)Instruction limit reached!
% 0.46/0.44 % (1109747)------------------------------
% 0.46/0.44 % (1109747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.44 % (1109747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.46 % (1109747)CaDiCaL version: 2.1.3
% 0.46/0.46 % (1109747)Termination reason: Instruction limit
% 0.46/0.46 % (1109747)Termination phase: Property scanning
% 0.46/0.46 % (1109747)Time elapsed: 0.005 s
% 0.46/0.46 % (1109747)Peak memory usage: 9 MB
% 0.46/0.46 % (1109747)Instructions burned: 13 (million)
% 0.46/0.46 % (1109750)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2621026865:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.46/0.46 % (1109754)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.46/0.46 % (1109753)lrs+10_1_si=on:cs=on:random_seed=3245620289:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.46/0.46 % (1109754)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=184820969:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.46/0.46 % (1109753)Instruction limit reached!
% 0.46/0.46 % (1109753)------------------------------
% 0.46/0.46 % (1109753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.46 % (1109753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.46 % (1109753)CaDiCaL version: 2.1.3
% 0.46/0.46 % (1109753)Termination reason: Instruction limit
% 0.46/0.46 % (1109753)Termination phase: Property scanning
% 0.46/0.46 % (1109753)Time elapsed: 0.003 s
% 0.46/0.46 % (1109753)Peak memory usage: 9 MB
% 0.46/0.46 % (1109753)Instructions burned: 8 (million)
% 0.46/0.46 % (1109754)Instruction limit reached!
% 0.46/0.46 % (1109754)------------------------------
% 0.46/0.46 % (1109754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.46 % (1109754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.46 % (1109754)CaDiCaL version: 2.1.3
% 0.46/0.46 % (1109754)Termination reason: Instruction limit
% 0.46/0.46 % (1109754)Termination phase: shuffling
% 0.46/0.46 % (1109754)Time elapsed: 0.001 s
% 0.46/0.46 % (1109754)Peak memory usage: 9 MB
% 0.46/0.46 % (1109754)Instructions burned: 3 (million)
% 0.46/0.46 % (1109751)Instruction limit reached!
% 0.46/0.46 % (1109751)------------------------------
% 0.46/0.46 % (1109751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.46 % (1109751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.46 % (1109751)CaDiCaL version: 2.1.3
% 0.46/0.46 % (1109751)Termination reason: Instruction limit
% 0.46/0.46 % (1109751)Termination phase: Saturation
% 0.46/0.46 % (1109751)Time elapsed: 0.017 s
% 0.46/0.46 % (1109751)Peak memory usage: 11 MB
% 0.46/0.46 % (1109751)Instructions burned: 87 (million)
% 0.46/0.46 % (1109750)Instruction limit reached!
% 0.46/0.46 % (1109750)------------------------------
% 0.46/0.46 % (1109750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.46 % (1109750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.46 % (1109750)CaDiCaL version: 2.1.3
% 0.46/0.46 % (1109750)Termination reason: Instruction limit
% 0.46/0.46 % (1109750)Termination phase: Property scanning
% 0.46/0.46 % (1109750)Time elapsed: 0.010 s
% 0.46/0.46 % (1109750)Peak memory usage: 9 MB
% 0.46/0.46 % (1109750)Instructions burned: 29 (million)
% 0.46/0.46 % (1109757)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2299141726:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.46/0.46 % (1109758)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=419637297:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.46/0.46 % (1109733)Refutation not found, incomplete strategy
% 0.46/0.46 % (1109733)------------------------------
% 0.46/0.46 % (1109733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.46 % (1109733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.46 % (1109733)CaDiCaL version: 2.1.3
% 0.46/0.46 % (1109733)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.46 % (1109733)Time elapsed: 0.066 s
% 0.46/0.46 % (1109733)Peak memory usage: 13 MB
% 0.46/0.46 % (1109733)Instructions burned: 157 (million)
% 0.46/0.46 % (1109733)------------------------------
% 0.46/0.46 % (1109733)------------------------------
% 0.46/0.46 % (1109762)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3401360675:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.15/0.49 % (1109757)Instruction limit reached!
% 1.15/0.49 % (1109757)------------------------------
% 1.15/0.49 % (1109757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.49 % (1109757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.49 % (1109757)CaDiCaL version: 2.1.3
% 1.15/0.49 % (1109757)Termination reason: Instruction limit
% 1.15/0.49 % (1109757)Termination phase: SInE selection
% 1.15/0.49 % (1109757)Time elapsed: 0.015 s
% 1.15/0.49 % (1109757)Peak memory usage: 9 MB
% 1.15/0.49 % (1109757)Instructions burned: 38 (million)
% 1.15/0.49 % (1109763)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1101167382:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.15/0.49 % (1109764)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1855306470:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.15/0.49 % (1109765)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3028987991:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.15/0.49 % (1109763)Instruction limit reached!
% 1.15/0.49 % (1109763)------------------------------
% 1.15/0.49 % (1109763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.49 % (1109763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.49 % (1109763)CaDiCaL version: 2.1.3
% 1.15/0.49 % (1109763)Termination reason: Instruction limit
% 1.15/0.49 % (1109763)Termination phase: Property scanning
% 1.15/0.49 % (1109763)Time elapsed: 0.006 s
% 1.15/0.49 % (1109763)Peak memory usage: 9 MB
% 1.15/0.49 % (1109763)Instructions burned: 16 (million)
% 1.15/0.49 % (1109765)Instruction limit reached!
% 1.15/0.49 % (1109765)------------------------------
% 1.15/0.49 % (1109765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.49 % (1109765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.49 % (1109765)CaDiCaL version: 2.1.3
% 1.15/0.49 % (1109765)Termination reason: Instruction limit
% 1.15/0.49 % (1109765)Termination phase: Property scanning
% 1.15/0.49 % (1109765)Time elapsed: 0.006 s
% 1.15/0.49 % (1109765)Peak memory usage: 9 MB
% 1.15/0.49 % (1109765)Instructions burned: 16 (million)
% 1.15/0.49 % (1109762)Instruction limit reached!
% 1.15/0.49 % (1109762)------------------------------
% 1.15/0.49 % (1109762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.49 % (1109762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.49 % (1109762)CaDiCaL version: 2.1.3
% 1.15/0.49 % (1109762)Termination reason: Instruction limit
% 1.15/0.49 % (1109762)Termination phase: Property scanning
% 1.15/0.49 % (1109762)Time elapsed: 0.010 s
% 1.15/0.49 % (1109762)Peak memory usage: 9 MB
% 1.15/0.49 % (1109762)Instructions burned: 27 (million)
% 1.15/0.49 % (1109768)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=203567854:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.15/0.49 % (1109768)Instruction limit reached!
% 1.15/0.49 % (1109768)------------------------------
% 1.15/0.49 % (1109768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.49 % (1109768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.49 % (1109768)CaDiCaL version: 2.1.3
% 1.15/0.49 % (1109768)Termination reason: Instruction limit
% 1.15/0.49 % (1109768)Termination phase: Property scanning
% 1.15/0.49 % (1109768)Time elapsed: 0.001 s
% 1.15/0.49 % (1109768)Peak memory usage: 9 MB
% 1.15/0.49 % (1109768)Instructions burned: 2 (million)
% 1.15/0.49 % (1109772)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1141366577:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.15/0.49 % (1109779)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.15/0.49 % (1109775)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3023039900:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.15/0.49 % (1109777)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.15/0.52 % (1109777)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.15/0.52 % (1109776)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2062110794:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.15/0.52 % (1109779)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=4098592189:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.15/0.52 % (1109777)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=1395988884:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.15/0.52 % (1109772)Instruction limit reached!
% 1.15/0.52 % (1109772)------------------------------
% 1.15/0.52 % (1109772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.52 % (1109772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.52 % (1109772)CaDiCaL version: 2.1.3
% 1.15/0.52 % (1109772)Termination reason: Instruction limit
% 1.15/0.52 % (1109772)Termination phase: Property scanning
% 1.15/0.52 % (1109772)Time elapsed: 0.010 s
% 1.15/0.52 % (1109772)Peak memory usage: 9 MB
% 1.15/0.52 % (1109772)Instructions burned: 28 (million)
% 1.15/0.52 % (1109758)Refutation not found, incomplete strategy
% 1.15/0.52 % (1109758)------------------------------
% 1.15/0.52 % (1109758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.52 % (1109758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.52 % (1109758)CaDiCaL version: 2.1.3
% 1.15/0.52 % (1109758)Termination reason: Refutation not found, incomplete strategy
% 1.15/0.52 % (1109758)Time elapsed: 0.041 s
% 1.15/0.52 % (1109758)Peak memory usage: 13 MB
% 1.15/0.52 % (1109758)Instructions burned: 100 (million)
% 1.15/0.52 % (1109779)Instruction limit reached!
% 1.15/0.52 % (1109779)------------------------------
% 1.15/0.52 % (1109779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.52 % (1109779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.52 % (1109779)CaDiCaL version: 2.1.3
% 1.15/0.52 % (1109779)Termination reason: Instruction limit
% 1.15/0.52 % (1109779)Termination phase: Property scanning
% 1.15/0.52 % (1109779)Time elapsed: 0.002 s
% 1.15/0.52 % (1109779)Peak memory usage: 9 MB
% 1.15/0.52 % (1109779)Instructions burned: 11 (million)
% 1.15/0.52 % (1109758)------------------------------
% 1.15/0.52 % (1109758)------------------------------
% 1.15/0.52 % (1109775)Instruction limit reached!
% 1.15/0.52 % (1109775)------------------------------
% 1.15/0.52 % (1109775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.52 % (1109775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.52 % (1109775)CaDiCaL version: 2.1.3
% 1.15/0.52 % (1109775)Termination reason: Instruction limit
% 1.15/0.52 % (1109775)Termination phase: Property scanning
% 1.15/0.52 % (1109775)Time elapsed: 0.010 s
% 1.15/0.52 % (1109775)Peak memory usage: 9 MB
% 1.15/0.52 % (1109775)Instructions burned: 25 (million)
% 1.15/0.52 % (1109777)Instruction limit reached!
% 1.15/0.52 % (1109777)------------------------------
% 1.15/0.52 % (1109777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.52 % (1109777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.52 % (1109777)CaDiCaL version: 2.1.3
% 1.15/0.52 % (1109777)Termination reason: Instruction limit
% 1.15/0.52 % (1109777)Termination phase: shuffling
% 1.15/0.52 % (1109777)Time elapsed: 0.006 s
% 1.15/0.52 % (1109777)Peak memory usage: 9 MB
% 1.15/0.52 % (1109777)Instructions burned: 19 (million)
% 1.15/0.52 % (1109786)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=707550208:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.15/0.52 % (1109786)Instruction limit reached!
% 1.15/0.52 % (1109786)------------------------------
% 1.15/0.52 % (1109786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.52 % (1109786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.52 % (1109786)CaDiCaL version: 2.1.3
% 1.15/0.52 % (1109786)Termination reason: Instruction limit
% 1.15/0.52 % (1109786)Termination phase: shuffling
% 1.82/0.58 % (1109786)Time elapsed: 0.002 s
% 1.82/0.58 % (1109786)Peak memory usage: 9 MB
% 1.82/0.58 % (1109786)Instructions burned: 13 (million)
% 1.82/0.58 % (1109785)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=527871769:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.82/0.58 % (1109764)Refutation not found, incomplete strategy
% 1.82/0.58 % (1109764)------------------------------
% 1.82/0.58 % (1109764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.58 % (1109764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.58 % (1109764)CaDiCaL version: 2.1.3
% 1.82/0.58 % (1109764)Termination reason: Refutation not found, incomplete strategy
% 1.82/0.58 % (1109764)Time elapsed: 0.049 s
% 1.82/0.58 % (1109764)Peak memory usage: 13 MB
% 1.82/0.58 % (1109776)Instruction limit reached!
% 1.82/0.58 % (1109776)------------------------------
% 1.82/0.58 % (1109776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.58 % (1109764)Instructions burned: 119 (million)
% 1.82/0.58 % (1109776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.58 % (1109776)CaDiCaL version: 2.1.3
% 1.82/0.58 % (1109776)Termination reason: Instruction limit
% 1.82/0.58 % (1109776)Termination phase: Twee Goal Transformation
% 1.82/0.58 % (1109776)Time elapsed: 0.023 s
% 1.82/0.58 % (1109776)Peak memory usage: 10 MB
% 1.82/0.58 % (1109776)Instructions burned: 60 (million)
% 1.82/0.58 % (1109787)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=797016224:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.82/0.58 % (1109764)------------------------------
% 1.82/0.58 % (1109764)------------------------------
% 1.82/0.58 % (1109791)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=977183744:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.82/0.58 % (1109788)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=481532310:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.82/0.58 % (1109789)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1586428460:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.82/0.58 % (1109787)Instruction limit reached!
% 1.82/0.58 % (1109787)------------------------------
% 1.82/0.58 % (1109787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.58 % (1109787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.58 % (1109787)CaDiCaL version: 2.1.3
% 1.82/0.58 % (1109787)Termination reason: Instruction limit
% 1.82/0.58 % (1109787)Termination phase: Property scanning
% 1.82/0.58 % (1109787)Time elapsed: 0.008 s
% 1.82/0.58 % (1109787)Peak memory usage: 10 MB
% 1.82/0.58 % (1109787)Instructions burned: 24 (million)
% 1.82/0.58 % (1109785)Instruction limit reached!
% 1.82/0.58 % (1109785)------------------------------
% 1.82/0.58 % (1109785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.58 % (1109785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.58 % (1109785)CaDiCaL version: 2.1.3
% 1.82/0.58 % (1109785)Termination reason: Instruction limit
% 1.82/0.58 % (1109785)Termination phase: Property scanning
% 1.82/0.58 % (1109785)Time elapsed: 0.012 s
% 1.82/0.58 % (1109785)Peak memory usage: 10 MB
% 1.82/0.58 % (1109785)Instructions burned: 33 (million)
% 1.82/0.58 % (1109788)Instruction limit reached!
% 1.82/0.58 % (1109788)------------------------------
% 1.82/0.58 % (1109788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.58 % (1109788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.58 % (1109788)CaDiCaL version: 2.1.3
% 1.82/0.58 % (1109788)Termination reason: Instruction limit
% 1.82/0.58 % (1109788)Termination phase: Property scanning
% 1.82/0.58 % (1109788)Time elapsed: 0.008 s
% 1.82/0.58 % (1109788)Peak memory usage: 9 MB
% 1.82/0.58 % (1109788)Instructions burned: 22 (million)
% 1.82/0.58 % (1109794)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4049928396:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.82/0.58 % (1109795)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2201036252:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.82/0.58 % (1109799)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.82/0.63 % (1109799)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1995908446:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.82/0.63 % (1109800)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=159399119:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.82/0.63 % (1109799)Instruction limit reached!
% 1.82/0.63 % (1109799)------------------------------
% 1.82/0.63 % (1109799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.63 % (1109799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.63 % (1109799)CaDiCaL version: 2.1.3
% 1.82/0.63 % (1109799)Termination reason: Instruction limit
% 1.82/0.63 % (1109799)Termination phase: shuffling
% 1.82/0.63 % (1109799)Time elapsed: 0.003 s
% 1.82/0.63 % (1109799)Peak memory usage: 9 MB
% 1.82/0.63 % (1109799)Instructions burned: 9 (million)
% 1.82/0.63 % (1109801)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=911832877:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.82/0.63 % (1109791)Instruction limit reached!
% 1.82/0.63 % (1109791)------------------------------
% 1.82/0.63 % (1109791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.63 % (1109791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.63 % (1109791)CaDiCaL version: 2.1.3
% 1.82/0.63 % (1109791)Termination reason: Instruction limit
% 1.82/0.63 % (1109791)Termination phase: Saturation
% 1.82/0.63 % (1109791)Time elapsed: 0.032 s
% 1.82/0.63 % (1109791)Peak memory usage: 13 MB
% 1.82/0.63 % (1109791)Instructions burned: 146 (million)
% 1.82/0.63 % (1109795)Instruction limit reached!
% 1.82/0.63 % (1109795)------------------------------
% 1.82/0.63 % (1109795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.63 % (1109795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.63 % (1109795)CaDiCaL version: 2.1.3
% 1.82/0.63 % (1109795)Termination reason: Instruction limit
% 1.82/0.63 % (1109795)Termination phase: Property scanning
% 1.82/0.63 % (1109795)Time elapsed: 0.016 s
% 1.82/0.63 % (1109795)Peak memory usage: 10 MB
% 1.82/0.63 % (1109795)Instructions burned: 42 (million)
% 1.82/0.63 % (1109808)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=211326606:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.82/0.63 % (1109807)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.82/0.63 % (1109807)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=984352085:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.82/0.63 % (1109808)Instruction limit reached!
% 1.82/0.63 % (1109808)------------------------------
% 1.82/0.63 % (1109808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.63 % (1109808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.63 % (1109808)CaDiCaL version: 2.1.3
% 1.82/0.63 % (1109808)Termination reason: Instruction limit
% 1.82/0.63 % (1109808)Termination phase: Property scanning
% 1.82/0.63 % (1109808)Time elapsed: 0.005 s
% 1.82/0.63 % (1109808)Peak memory usage: 9 MB
% 1.82/0.63 % (1109808)Instructions burned: 26 (million)
% 1.82/0.63 % (1109807)Instruction limit reached!
% 1.82/0.63 % (1109807)------------------------------
% 1.82/0.63 % (1109807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.82/0.63 % (1109807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/0.63 % (1109807)CaDiCaL version: 2.1.3
% 1.82/0.63 % (1109807)Termination reason: Instruction limit
% 1.82/0.63 % (1109807)Termination phase: shuffling
% 1.82/0.63 % (1109807)Time elapsed: 0.002 s
% 1.82/0.63 % (1109807)Peak memory usage: 9 MB
% 1.82/0.63 % (1109807)Instructions burned: 6 (million)
% 1.82/0.63 % (1109809)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2932615070:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.13/0.64 % (1109812)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=12198091:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.13/0.64 % (1109809)Instruction limit reached!
% 2.13/0.64 % (1109809)------------------------------
% 2.13/0.64 % (1109809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.64 % (1109809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.64 % (1109809)CaDiCaL version: 2.1.3
% 2.13/0.64 % (1109809)Termination reason: Instruction limit
% 2.13/0.64 % (1109809)Termination phase: Property scanning
% 2.13/0.64 % (1109809)Time elapsed: 0.007 s
% 2.13/0.64 % (1109809)Peak memory usage: 10 MB
% 2.13/0.64 % (1109809)Instructions burned: 20 (million)
% 2.13/0.64 % (1109794)Refutation not found, incomplete strategy
% 2.13/0.64 % (1109794)------------------------------
% 2.13/0.64 % (1109794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.64 % (1109794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.64 % (1109794)CaDiCaL version: 2.1.3
% 2.13/0.64 % (1109794)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.64 % (1109794)Time elapsed: 0.048 s
% 2.13/0.64 % (1109794)Peak memory usage: 13 MB
% 2.13/0.64 % (1109794)Instructions burned: 120 (million)
% 2.13/0.64 % (1109794)------------------------------
% 2.13/0.64 % (1109794)------------------------------
% 2.13/0.64 % (1109813)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=279839752:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.13/0.64 % (1109801)Refutation not found, incomplete strategy
% 2.13/0.64 % (1109801)------------------------------
% 2.13/0.64 % (1109801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.64 % (1109801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.64 % (1109801)CaDiCaL version: 2.1.3
% 2.13/0.64 % (1109801)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.64 % (1109801)Time elapsed: 0.042 s
% 2.13/0.64 % (1109801)Peak memory usage: 13 MB
% 2.13/0.64 % (1109801)Instructions burned: 103 (million)
% 2.13/0.64 % (1109801)------------------------------
% 2.13/0.64 % (1109801)------------------------------
% 2.13/0.64 % (1109816)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3853407770:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.13/0.64 % (1109817)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=627257249:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.13/0.64 % (1109819)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1719494433:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.13/0.64 % (1109816)Instruction limit reached!
% 2.13/0.64 % (1109816)------------------------------
% 2.13/0.64 % (1109816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.64 % (1109816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.64 % (1109816)CaDiCaL version: 2.1.3
% 2.13/0.64 % (1109816)Termination reason: Instruction limit
% 2.13/0.64 % (1109816)Termination phase: Property scanning
% 2.13/0.64 % (1109816)Time elapsed: 0.018 s
% 2.13/0.64 % (1109816)Peak memory usage: 9 MB
% 2.13/0.64 % (1109816)Instructions burned: 48 (million)
% 2.13/0.64 % (1109800) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1109725-1109800"...
% 2.13/0.64 % (1109819)Instruction limit reached!
% 2.13/0.64 % (1109819)------------------------------
% 2.13/0.64 % (1109819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.64 % (1109819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.64 % (1109819)CaDiCaL version: 2.1.3
% 2.13/0.64 % (1109819)Termination reason: Instruction limit
% 2.13/0.64 % (1109819)Termination phase: Property scanning
% 2.13/0.64 % (1109819)Time elapsed: 0.008 s
% 2.13/0.64 % (1109819)Peak memory usage: 9 MB
% 2.13/0.64 % (1109819)Instructions burned: 21 (million)
% 2.13/0.64 % (1109823)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.13/0.64 % (1109817)Refutation not found, incomplete strategy
% 2.13/0.64 % (1109817)------------------------------
% 2.13/0.64 % (1109817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.64 % (1109817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.64 % (1109817)CaDiCaL version: 2.1.3
% 2.13/0.64 % (1109817)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.64 % (1109817)Time elapsed: 0.030 s
% 2.13/0.64 % (1109817)Peak memory usage: 13 MB
% 2.13/0.64 % (1109817)Instructions burned: 71 (million)
% 2.13/0.64 % (1109817)------------------------------
% 2.13/0.64 % (1109817)------------------------------
% 2.13/0.64 % (1109823)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1589704973:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.13/0.64 % (1109824)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3004151864:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.13/0.64 % (1109813)Refutation not found, incomplete strategy
% 2.13/0.64 % (1109813)------------------------------
% 2.13/0.64 % (1109813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.64 % (1109813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.64 % (1109813)CaDiCaL version: 2.1.3
% 2.13/0.64 % (1109813)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.64 % (1109813)Time elapsed: 0.060 s
% 2.13/0.64 % (1109813)Peak memory usage: 13 MB
% 2.13/0.64 % (1109813)Instructions burned: 139 (million)
% 2.13/0.64 % (1109813)------------------------------
% 2.13/0.64 % (1109813)------------------------------
% 2.13/0.64 % (1109824)Instruction limit reached!
% 2.13/0.64 % (1109824)------------------------------
% 2.13/0.64 % (1109824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.64 % (1109824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.64 % (1109824)CaDiCaL version: 2.1.3
% 2.13/0.64 % (1109824)Termination reason: Instruction limit
% 2.13/0.64 % (1109824)Termination phase: Property scanning
% 2.13/0.64 % (1109824)Time elapsed: 0.005 s
% 2.13/0.64 % (1109824)Peak memory usage: 9 MB
% 2.13/0.64 % (1109824)Instructions burned: 13 (million)
% 2.13/0.64 % (1109825)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3367857538:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.13/0.64 % (1109828)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1871181509:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.13/0.64 % (1109829)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2321448651:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.13/0.64 % (1109829)Instruction limit reached!
% 2.13/0.64 % (1109829)------------------------------
% 2.13/0.64 % (1109829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.64 % (1109829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.64 % (1109829)CaDiCaL version: 2.1.3
% 2.13/0.64 % (1109829)Termination reason: Instruction limit
% 2.13/0.64 % (1109829)Termination phase: Property scanning
% 2.13/0.64 % (1109829)Time elapsed: 0.011 s
% 2.13/0.64 % (1109829)Peak memory usage: 9 MB
% 2.13/0.64 % (1109829)Instructions burned: 32 (million)
% 2.13/0.64 % (1109825)Instruction limit reached!
% 2.13/0.64 % (1109825)------------------------------
% 2.13/0.64 % (1109825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.64 % (1109825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.64 % (1109825)CaDiCaL version: 2.1.3
% 2.13/0.64 % (1109825)Termination reason: Instruction limit
% 2.13/0.64 % (1109825)Termination phase: Property scanning
% 2.13/0.64 % (1109825)Time elapsed: 0.026 s
% 2.13/0.64 % (1109825)Peak memory usage: 10 MB
% 2.13/0.64 % (1109825)Instructions burned: 68 (million)
% 2.13/0.64 % (1109812)Instruction limit reached!
% 2.13/0.64 % (1109812)------------------------------
% 2.13/0.64 % (1109812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.64 % (1109812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.64 % (1109812)CaDiCaL version: 2.1.3
% 2.13/0.64 % (1109812)Termination reason: Instruction limit
% 2.13/0.64 % (1109812)Termination phase: Saturation
% 2.13/0.64 % (1109812)Time elapsed: 0.104 s
% 2.13/0.64 % (1109812)Peak memory usage: 34 MB
% 2.13/0.64 % (1109812)Instructions burned: 318 (million)
% 2.13/0.64 % (1109823) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1109725-1109823"...
% 2.13/0.64 % (1109800)...printing done.
% 2.13/0.64 % (1109828)Instruction limit reached!
% 2.13/0.64 % (1109828)------------------------------
% 2.13/0.64 % (1109828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.64 % (1109828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.64 % (1109828)CaDiCaL version: 2.1.3
% 2.13/0.64 % (1109828)Termination reason: Instruction limit
% 2.13/0.64 % (1109828)Termination phase: Property scanning
% 2.13/0.64 % (1109828)Time elapsed: 0.021 s
% 2.13/0.64 % (1109828)Peak memory usage: 10 MB
% 2.13/0.64 % (1109828)Instructions burned: 53 (million)
% 2.13/0.64 % (1109800)Refutation found. Thanks to Tanya!
% 2.13/0.64 % SZS status Theorem for theBenchmark
% 2.13/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.13/0.64 % (1109800)------------------------------
% 2.13/0.64 % (1109800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.64 % (1109800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.64 % (1109800)CaDiCaL version: 2.1.3
% 2.13/0.64 % (1109800)Termination reason: Refutation
% 2.13/0.64 % (1109800)Time elapsed: 0.142 s
% 2.13/0.64 % (1109800)Peak memory usage: 15 MB
% 2.13/0.64 % (1109800)Instructions burned: 364 (million)
% 2.13/0.64 % (1109725)Success in time 0.355 s
% 2.13/0.64 % Vampire exiting
%------------------------------------------------------------------------------