%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO885^1.010.010 : 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 : n003.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 08:48:32 AM UTC 2026
% Result : Theorem 2.19s 0.57s
% Output : Refutation 2.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 10387 ( 393 equ; 0 cnn)
% Maximal formula atoms : 26 ( 432 avg)
% Number of connectives : 11914 ( 374 ~; 352 |; 18 &;11170 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 20 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 740 ( 740 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 11 con; 0-10 aty)
% Number of variables : 1064 ( 990 ^; 72 !; 2 ?;1064 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_10,type,
f: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(func_def_12,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_18,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_19,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_20,type,
db8:
!>[X0: $tType] : X0 ).
thf(func_def_21,type,
db9:
!>[X0: $tType] : X0 ).
thf(func_def_22,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,conjecture,
? [X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
= ( f @ a9 @ a7 @ a6 @ a4 @ a6 @ a3 @ a4 @ a1 @ a8 @ a1 ) )
& ( ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 )
= ( f @ a9 @ a8 @ a6 @ a4 @ a3 @ a6 @ a5 @ a2 @ a8 @ a1 ) )
& ( ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 )
= ( f @ a9 @ a2 @ a6 @ a4 @ a3 @ a8 @ a5 @ a1 @ a8 @ a1 ) )
& ( ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
= ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 ) )
& ( ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 )
= ( f @ a9 @ a9 @ a6 @ a4 @ a8 @ a6 @ a7 @ a5 @ a8 @ a1 ) )
& ( ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
= ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 ) )
& ( ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
= ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 ) )
& ( ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
= ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 ) )
& ( ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
= ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 ) )
& ( ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
= ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
thf(f2,negated_conjecture,
~ ? [X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
= ( f @ a9 @ a7 @ a6 @ a4 @ a6 @ a3 @ a4 @ a1 @ a8 @ a1 ) )
& ( ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 )
= ( f @ a9 @ a8 @ a6 @ a4 @ a3 @ a6 @ a5 @ a2 @ a8 @ a1 ) )
& ( ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 )
= ( f @ a9 @ a2 @ a6 @ a4 @ a3 @ a8 @ a5 @ a1 @ a8 @ a1 ) )
& ( ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
= ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 ) )
& ( ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 )
= ( f @ a9 @ a9 @ a6 @ a4 @ a8 @ a6 @ a7 @ a5 @ a8 @ a1 ) )
& ( ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
= ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 ) )
& ( ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
= ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 ) )
& ( ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
= ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 ) )
& ( ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
= ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 ) )
& ( ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
= ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
! [X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
!= ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 ) )
| ( ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
!= ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 ) )
| ( ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
!= ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 ) )
| ( ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
!= ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 ) )
| ( ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 )
!= ( f @ a9 @ a2 @ a6 @ a4 @ a3 @ a8 @ a5 @ a1 @ a8 @ a1 ) )
| ( ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 )
!= ( f @ a9 @ a9 @ a6 @ a4 @ a8 @ a6 @ a7 @ a5 @ a8 @ a1 ) )
| ( ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
!= ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 ) )
| ( ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 )
!= ( f @ a9 @ a8 @ a6 @ a4 @ a3 @ a6 @ a5 @ a2 @ a8 @ a1 ) )
| ( ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
!= ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 ) )
| ( ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
!= ( f @ a9 @ a7 @ a6 @ a4 @ a6 @ a3 @ a4 @ a1 @ a8 @ a1 ) ) ),
inference(ennf_transformation,[],[f2]) ).
thf(f4,plain,
! [X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 )
!= ( f @ a9 @ a2 @ a6 @ a4 @ a3 @ a8 @ a5 @ a1 @ a8 @ a1 ) )
| ( ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
!= ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 ) )
| ( ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 )
!= ( f @ a9 @ a9 @ a6 @ a4 @ a8 @ a6 @ a7 @ a5 @ a8 @ a1 ) )
| ( ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
!= ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 ) )
| ( ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
!= ( f @ a9 @ a7 @ a6 @ a4 @ a6 @ a3 @ a4 @ a1 @ a8 @ a1 ) )
| ( ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
!= ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 ) )
| ( ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
!= ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 ) )
| ( ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 )
!= ( f @ a9 @ a8 @ a6 @ a4 @ a3 @ a6 @ a5 @ a2 @ a8 @ a1 ) )
| ( ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
!= ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 ) )
| ( ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
!= ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 ) ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f6,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X3: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X8: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X6: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X7: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X4: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X5: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( a1
!= ( X7 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a2
!= ( X1 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X1 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X2 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X3 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X5 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X6 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X7 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X8 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 )
@ ( ^ [Y10: $i,Y11: $i,Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i,Y18: $i,Y19: $i] : a1
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8
@ Y9 ) )
@ a4
@ a6
@ a2
@ a8
@ a3
@ a0
@ a1
@ a5
@ a7
@ a9 ) )
| ( a6
!= ( X2 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X1 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X2 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X3 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X5 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X6 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X7 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X8 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 )
@ ( ^ [Y10: $i,Y11: $i,Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i,Y18: $i,Y19: $i] : a1
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8
@ Y9 ) )
@ a2
@ a4
@ a8
@ a3
@ a1
@ a7
@ a0
@ a5
@ a9
@ a6 ) )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X1 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X2 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X3 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X5 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X6 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X7 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X8 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 )
@ ( ^ [Y10: $i,Y11: $i,Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i,Y18: $i,Y19: $i] : a1
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8
@ Y9 ) )
@ a6
@ a1
@ a9
@ a3
@ a2
@ a4
@ a5
@ a7
@ a0
@ a8 ) )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X1 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X2 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X3 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X5 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X6 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X7 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X8 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 )
@ ( ^ [Y10: $i,Y11: $i,Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i,Y18: $i,Y19: $i] : a1
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8
@ Y9 ) )
@ a6
@ a4
@ a2
@ a9
@ a5
@ a7
@ a3
@ a0
@ a1
@ a8 ) )
| ( a5
!= ( X6 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a9 @ a6 @ a4 @ a8 @ a6 @ a7 @ a5 @ a8 @ a1 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X1 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X2 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X3 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X5 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X6 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X7 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X8 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 )
@ ( ^ [Y10: $i,Y11: $i,Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i,Y18: $i,Y19: $i] : a1
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8
@ Y9 ) )
@ a6
@ a0
@ a5
@ a7
@ a1
@ a8
@ a4
@ a9
@ a2
@ a3 ) )
| ( ( f @ a9 @ a8 @ a6 @ a4 @ a3 @ a6 @ a5 @ a2 @ a8 @ a1 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X1 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X2 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X3 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X5 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X6 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X7 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X8 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 )
@ ( ^ [Y10: $i,Y11: $i,Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i,Y18: $i,Y19: $i] : a1
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8
@ Y9 ) )
@ a6
@ a4
@ a2
@ a5
@ a9
@ a3
@ a1
@ a8
@ a0
@ a7 ) )
| ( a8
!= ( X8 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X1 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X2 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X3 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X5 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X6 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X7 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X8 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 )
@ ( ^ [Y10: $i,Y11: $i,Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i,Y18: $i,Y19: $i] : a1
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8
@ Y9 ) )
@ a8
@ a2
@ a5
@ a0
@ a4
@ a3
@ a9
@ a6
@ a7
@ a1 ) )
| ( a3
!= ( X4 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a9
!= ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a8
!= ( X5 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a4
!= ( X3 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a6 @ a3 @ a4 @ a1 @ a8 @ a1 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X1 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X2 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X3 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X5 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X6 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X7 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X8 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 )
@ ( ^ [Y10: $i,Y11: $i,Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i,Y18: $i,Y19: $i] : a1
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8
@ Y9 ) )
@ a3
@ a2
@ a1
@ a4
@ a5
@ a6
@ a9
@ a7
@ a8
@ a0 ) )
| ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] :
( f @ ( X0 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X1 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X2 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X3 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X4 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X5 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X6 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X7 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 ) @ ( X8 @ Y0 @ Y1 @ Y2 @ Y3 @ Y4 @ Y5 @ Y6 @ Y7 @ Y8 @ Y9 )
@ ( ^ [Y10: $i,Y11: $i,Y12: $i,Y13: $i,Y14: $i,Y15: $i,Y16: $i,Y17: $i,Y18: $i,Y19: $i] : a1
@ Y0
@ Y1
@ Y2
@ Y3
@ Y4
@ Y5
@ Y6
@ Y7
@ Y8
@ Y9 ) )
@ a7
@ a8
@ a9
@ a0
@ a6
@ a2
@ a1
@ a3
@ a5
@ a4 ) ) ),
inference(equality_resolution,[],[f4]) ).
thf(f7,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X3: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X8: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X6: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X7: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X4: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X5: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( f @ a9 @ a9 @ a6 @ a4 @ a8 @ a6 @ a7 @ a5 @ a8 @ a1 )
!= ( f @ ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) @ ( X1 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) @ ( X2 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) @ ( X3 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) @ ( X4 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) @ ( X5 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) @ ( X6 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) @ ( X7 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) @ ( X8 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) @ a1 ) )
| ( a9
!= ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a8
!= ( X8 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a1
!= ( X7 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a4
!= ( X3 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a6 @ a3 @ a4 @ a1 @ a8 @ a1 )
!= ( f @ ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X1 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X2 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X3 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X4 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X5 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X6 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X7 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X8 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ a1 ) )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 )
!= ( f @ ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X1 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X2 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X3 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X4 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X5 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X6 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X7 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X8 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ a1 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f @ ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X1 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X2 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X3 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X4 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X5 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X6 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X7 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X8 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ a1 ) )
| ( ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 )
!= ( f @ ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X1 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X2 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X3 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X4 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X5 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X6 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X7 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X8 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ a1 ) )
| ( a3
!= ( X4 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a5
!= ( X6 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a2
!= ( X1 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a6
!= ( X2 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f @ ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X1 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X2 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X3 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X4 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X5 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X6 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X7 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X8 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ a1 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f @ ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X1 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X2 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X3 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X4 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X5 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X6 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X7 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X8 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ a1 ) )
| ( a8
!= ( X5 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f @ ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X1 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X2 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X3 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X4 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X5 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X6 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X7 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X8 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ a1 ) )
| ( ( f @ a9 @ a8 @ a6 @ a4 @ a3 @ a6 @ a5 @ a2 @ a8 @ a1 )
!= ( f @ ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X1 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X2 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X3 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X4 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X5 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X6 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X7 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X8 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ a1 ) ) ),
inference(beta-eta_normalization,[],[f6]) ).
thf(f12,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X3: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X6: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X4: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X5: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( a2
!= ( X2 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a6
!= ( X3 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a8
!= ( X5 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a5
!= ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a9
@ a8
@ a2
@ a5
@ a0
@ a4
@ a3
@ a9
@ a6
@ a7
@ a1 )
@ ( X2 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
@ ( X3 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
@ ( X1 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
@ ( X4 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
@ ( X5 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
@ ( X6 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
@ ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a8
@ a8
@ a2
@ a5
@ a0
@ a4
@ a3
@ a9
@ a6
@ a7
@ a1 )
@ a1 ) )
| ( a8
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a8
@ a8
@ a9
@ a1
@ a5
@ a4
@ a3
@ a7
@ a2
@ a0
@ a6 ) )
| ( a6
!= ( X3 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a9
@ a6
@ a1
@ a9
@ a3
@ a2
@ a4
@ a5
@ a7
@ a0
@ a8 )
@ ( X2 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
@ ( X3 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
@ ( X1 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
@ ( X4 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
@ ( X5 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
@ ( X6 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
@ ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a8
@ a6
@ a1
@ a9
@ a3
@ a2
@ a4
@ a5
@ a7
@ a0
@ a8 )
@ a1 ) )
| ( a9
!= ( X2 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a7
!= ( X6 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a9
@ a2
@ a4
@ a8
@ a3
@ a1
@ a7
@ a0
@ a5
@ a9
@ a6 )
@ ( X2 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
@ ( X3 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
@ ( X1 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
@ ( X4 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
@ ( X5 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
@ ( X6 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
@ ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a8
@ a2
@ a4
@ a8
@ a3
@ a1
@ a7
@ a0
@ a5
@ a9
@ a6 )
@ a1 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a9
@ a4
@ a6
@ a2
@ a8
@ a3
@ a0
@ a1
@ a5
@ a7
@ a9 )
@ ( X2 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
@ ( X3 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
@ ( X1 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
@ ( X4 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
@ ( X5 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
@ ( X6 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
@ ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a8
@ a4
@ a6
@ a2
@ a8
@ a3
@ a0
@ a1
@ a5
@ a7
@ a9 )
@ a1 ) )
| ( a1
!= ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a9
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a9
@ a8
@ a9
@ a1
@ a5
@ a4
@ a3
@ a7
@ a2
@ a0
@ a6 ) )
| ( a3
!= ( X4 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a9
@ a7
@ a8
@ a9
@ a0
@ a6
@ a2
@ a1
@ a3
@ a5
@ a4 )
@ ( X2 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
@ ( X3 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
@ ( X1 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
@ ( X4 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
@ ( X5 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
@ ( X6 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
@ ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a8
@ a7
@ a8
@ a9
@ a0
@ a6
@ a2
@ a1
@ a3
@ a5
@ a4 )
@ a1 ) )
| ( a4
!= ( X1 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a8 @ a6 @ a4 @ a3 @ a6 @ a5 @ a2 @ a8 @ a1 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a9
@ a6
@ a4
@ a2
@ a5
@ a9
@ a3
@ a1
@ a8
@ a0
@ a7 )
@ ( X2 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 )
@ ( X3 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 )
@ ( X1 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 )
@ ( X4 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 )
@ ( X5 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 )
@ ( X6 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 )
@ ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a8
@ a6
@ a4
@ a2
@ a5
@ a9
@ a3
@ a1
@ a8
@ a0
@ a7 )
@ a1 ) )
| ( a8
!= ( X4 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a6 @ a3 @ a4 @ a1 @ a8 @ a1 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a9
@ a3
@ a2
@ a1
@ a4
@ a5
@ a6
@ a9
@ a7
@ a8
@ a0 )
@ ( X2 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
@ ( X3 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
@ ( X1 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
@ ( X4 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
@ ( X5 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
@ ( X6 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
@ ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a8
@ a3
@ a2
@ a1
@ a4
@ a5
@ a6
@ a9
@ a7
@ a8
@ a0 )
@ a1 ) )
| ( a6
!= ( X5 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a5
!= ( X6 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a9
@ a6
@ a4
@ a2
@ a9
@ a5
@ a7
@ a3
@ a0
@ a1
@ a8 )
@ ( X2 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
@ ( X3 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
@ ( X1 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
@ ( X4 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
@ ( X5 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
@ ( X6 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
@ ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a8
@ a6
@ a4
@ a2
@ a9
@ a5
@ a7
@ a3
@ a0
@ a1
@ a8 )
@ a1 ) )
| ( a4
!= ( X1 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) ) ),
inference(equality_resolution,[],[f7]) ).
thf(f18,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X3: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X6: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X4: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X5: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( a3
!= ( X4 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 )
!= ( f @ a9 @ ( X2 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X3 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X1 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X4 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X5 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X6 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ a8 @ a1 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f @ a9 @ ( X2 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X3 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X1 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X4 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X5 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X6 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ a8 @ a1 ) )
| ( ( f @ a9 @ a8 @ a6 @ a4 @ a3 @ a6 @ a5 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ ( X2 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X3 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X1 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X4 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X5 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X6 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ a8 @ a1 ) )
| ( a5
!= ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a6
!= ( X3 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a1
!= ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a4
!= ( X1 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a8 != a8 )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ ( X2 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X3 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X1 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X4 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X5 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X6 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ a8 @ a1 ) )
| ( a7
!= ( X6 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ ( X2 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X3 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X1 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X4 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X5 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X6 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ a8 @ a1 ) )
| ( a2
!= ( X2 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a8
!= ( X5 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a6
!= ( X3 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a6
!= ( X5 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ ( X2 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X3 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X1 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X4 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X5 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X6 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ a8 @ a1 ) )
| ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ ( X2 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X3 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X1 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X4 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X5 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X6 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ a8 @ a1 ) )
| ( a5
!= ( X6 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a8
!= ( X4 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a4
!= ( X1 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a9
!= ( X2 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a9 != a9 )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a6 @ a3 @ a4 @ a1 @ a8 @ a1 )
!= ( f @ a9 @ ( X2 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X3 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X1 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X4 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X5 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X6 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ a8 @ a1 ) ) ),
inference(beta-eta_normalization,[],[f12]) ).
thf(f19,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X3: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X6: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X4: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X5: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( f @ a9 @ a8 @ a6 @ a4 @ a3 @ a6 @ a5 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ ( X2 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X3 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X1 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X4 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X5 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X6 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) @ a8 @ a1 ) )
| ( a6
!= ( X5 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ ( X2 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X3 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X1 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X4 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X5 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X6 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ a8 @ a1 ) )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ ( X2 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X3 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X1 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X4 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X5 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X6 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ a8 @ a1 ) )
| ( a7
!= ( X6 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a6
!= ( X3 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a5
!= ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a6 @ a3 @ a4 @ a1 @ a8 @ a1 )
!= ( f @ a9 @ ( X2 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X3 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X1 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X4 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X5 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X6 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ a8 @ a1 ) )
| ( a4
!= ( X1 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f @ a9 @ ( X2 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X3 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X1 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X4 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X5 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X6 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ a8 @ a1 ) )
| ( a3
!= ( X4 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ ( X2 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X3 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X1 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X4 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X5 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X6 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ a8 @ a1 ) )
| ( ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 )
!= ( f @ a9 @ ( X2 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X3 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X1 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X4 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X5 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X6 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ a8 @ a1 ) )
| ( a9
!= ( X2 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a8
!= ( X5 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a6
!= ( X3 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a2
!= ( X2 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a1
!= ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a5
!= ( X6 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ ( X2 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X3 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X1 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X4 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X5 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X6 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ a8 @ a1 ) )
| ( a4
!= ( X1 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a8
!= ( X4 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) ) ),
inference(trivial_inequality_removal,[],[f18]) ).
thf(f20,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X3: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X4: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( a5
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y2
@ a6
@ a0
@ a5
@ a7
@ a1
@ a8
@ a4
@ a9
@ a2
@ a3 ) )
| ( a8
!= ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a3
!= ( X3 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a3
!= ( X3 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a6
!= ( X1 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a5
!= ( X4 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f @ a9
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y7
@ a7
@ a8
@ a9
@ a0
@ a6
@ a2
@ a1
@ a3
@ a5
@ a4 )
@ ( X1 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
@ ( X2 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
@ ( X3 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
@ ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
@ ( X4 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y2
@ a7
@ a8
@ a9
@ a0
@ a6
@ a2
@ a1
@ a3
@ a5
@ a4 )
@ a8
@ a1 ) )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 )
!= ( f @ a9
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y7
@ a6
@ a1
@ a9
@ a3
@ a2
@ a4
@ a5
@ a7
@ a0
@ a8 )
@ ( X1 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
@ ( X2 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
@ ( X3 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
@ ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
@ ( X4 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y2
@ a6
@ a1
@ a9
@ a3
@ a2
@ a4
@ a5
@ a7
@ a0
@ a8 )
@ a8
@ a1 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f @ a9
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y7
@ a2
@ a4
@ a8
@ a3
@ a1
@ a7
@ a0
@ a5
@ a9
@ a6 )
@ ( X1 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
@ ( X2 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
@ ( X3 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
@ ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
@ ( X4 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y2
@ a2
@ a4
@ a8
@ a3
@ a1
@ a7
@ a0
@ a5
@ a9
@ a6 )
@ a8
@ a1 ) )
| ( a4
!= ( X2 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 )
!= ( f @ a9
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y7
@ a8
@ a2
@ a5
@ a0
@ a4
@ a3
@ a9
@ a6
@ a7
@ a1 )
@ ( X1 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
@ ( X2 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
@ ( X3 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
@ ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
@ ( X4 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y2
@ a8
@ a2
@ a5
@ a0
@ a4
@ a3
@ a9
@ a6
@ a7
@ a1 )
@ a8
@ a1 ) )
| ( a8
!= ( X3 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a6
!= ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a4
!= ( X2 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a7
!= ( X4 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a9
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y7
@ a6
@ a0
@ a5
@ a7
@ a1
@ a8
@ a4
@ a9
@ a2
@ a3 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f @ a9
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y7
@ a4
@ a6
@ a2
@ a8
@ a3
@ a0
@ a1
@ a5
@ a7
@ a9 )
@ ( X1 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
@ ( X2 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
@ ( X3 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
@ ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
@ ( X4 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y2
@ a4
@ a6
@ a2
@ a8
@ a3
@ a0
@ a1
@ a5
@ a7
@ a9 )
@ a8
@ a1 ) )
| ( a1
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y2
@ a8
@ a9
@ a1
@ a5
@ a4
@ a3
@ a7
@ a2
@ a0
@ a6 ) )
| ( a5
!= ( X4 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a2
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y7
@ a8
@ a9
@ a1
@ a5
@ a4
@ a3
@ a7
@ a2
@ a0
@ a6 ) )
| ( a6
!= ( X1 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a4
!= ( X2 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a6
!= ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a6
!= ( X1 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f @ a9
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y7
@ a6
@ a4
@ a2
@ a9
@ a5
@ a7
@ a3
@ a0
@ a1
@ a8 )
@ ( X1 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
@ ( X2 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
@ ( X3 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
@ ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
@ ( X4 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y2
@ a6
@ a4
@ a2
@ a9
@ a5
@ a7
@ a3
@ a0
@ a1
@ a8 )
@ a8
@ a1 ) )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a6 @ a3 @ a4 @ a1 @ a8 @ a1 )
!= ( f @ a9
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y7
@ a3
@ a2
@ a1
@ a4
@ a5
@ a6
@ a9
@ a7
@ a8
@ a0 )
@ ( X1 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
@ ( X2 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
@ ( X3 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
@ ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
@ ( X4 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y2
@ a3
@ a2
@ a1
@ a4
@ a5
@ a6
@ a9
@ a7
@ a8
@ a0 )
@ a8
@ a1 ) ) ),
inference(equality_resolution,[],[f19]) ).
thf(f24,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X3: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X4: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ ( X1 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X2 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X3 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X4 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ a8 @ a8 @ a1 ) )
| ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a3 @ ( X1 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X2 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X3 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X4 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ a9 @ a8 @ a1 ) )
| ( a4
!= ( X2 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a7
!= ( X4 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a0 @ ( X1 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X2 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X3 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X4 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ a2 @ a8 @ a1 ) )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a7 @ ( X1 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X2 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X3 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X4 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ a9 @ a8 @ a1 ) )
| ( a4
!= ( X2 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a6 @ a3 @ a4 @ a1 @ a8 @ a1 )
!= ( f @ a9 @ a7 @ ( X1 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X2 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X3 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X4 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ a1 @ a8 @ a1 ) )
| ( a3
!= ( X3 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a6
!= ( X1 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a6
!= ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a6
!= ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a8
!= ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 )
!= ( f @ a9 @ a6 @ ( X1 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X2 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X3 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X4 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ a5 @ a8 @ a1 ) )
| ( a6
!= ( X1 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a5 != a5 )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ ( X1 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X2 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X3 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X4 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ a2 @ a8 @ a1 ) )
| ( a6
!= ( X1 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a1 != a1 )
| ( a4
!= ( X2 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a3
!= ( X3 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a8
!= ( X3 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a2 != a2 )
| ( a5
!= ( X4 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a9 != a9 )
| ( a5
!= ( X4 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) ) ),
inference(beta-eta_normalization,[],[f20]) ).
thf(f25,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X3: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X4: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( f @ a9 @ a7 @ a6 @ a4 @ a6 @ a3 @ a4 @ a1 @ a8 @ a1 )
!= ( f @ a9 @ a7 @ ( X1 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X2 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X3 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ ( X4 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) @ a1 @ a8 @ a1 ) )
| ( ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 )
!= ( f @ a9 @ a6 @ ( X1 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X2 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X3 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X4 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ a5 @ a8 @ a1 ) )
| ( a6
!= ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a6
!= ( X1 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a6
!= ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a3 @ ( X1 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X2 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X3 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X4 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ a9 @ a8 @ a1 ) )
| ( a4
!= ( X2 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a5
!= ( X4 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a4
!= ( X2 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a5
!= ( X4 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a3
!= ( X3 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a7
!= ( X4 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a6
!= ( X1 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a4
!= ( X2 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a8
!= ( X3 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a8
!= ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ ( X1 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X2 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X3 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X4 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ a8 @ a8 @ a1 ) )
| ( a3
!= ( X3 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a6
!= ( X1 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ ( X1 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X2 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X3 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X4 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ a2 @ a8 @ a1 ) )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a7 @ ( X1 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X2 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X3 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X4 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ a9 @ a8 @ a1 ) )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a0 @ ( X1 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X2 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X3 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X4 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ a2 @ a8 @ a1 ) ) ),
inference(trivial_inequality_removal,[],[f24]) ).
thf(f33,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( a8
!= ( X2 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a6
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a6
@ a6
@ a0
@ a5
@ a7
@ a1
@ a8
@ a4
@ a9
@ a2
@ a3 ) )
| ( a6
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a6
@ a8
@ a9
@ a1
@ a5
@ a4
@ a3
@ a7
@ a2
@ a0
@ a6 ) )
| ( a4
!= ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) )
| ( a6
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a6
@ a6
@ a4
@ a2
@ a5
@ a9
@ a3
@ a1
@ a8
@ a0
@ a7 ) )
| ( ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 )
!= ( f @ a9 @ a6
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a6
@ a8
@ a2
@ a5
@ a0
@ a4
@ a3
@ a9
@ a6
@ a7
@ a1 )
@ ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
@ ( X1 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
@ ( X2 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y3
@ a8
@ a2
@ a5
@ a0
@ a4
@ a3
@ a9
@ a6
@ a7
@ a1 )
@ a5
@ a8
@ a1 ) )
| ( a6
!= ( X1 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) )
| ( a6
!= ( X2 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a6
!= ( X2 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a5
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y3
@ a8
@ a9
@ a1
@ a5
@ a4
@ a3
@ a7
@ a2
@ a0
@ a6 ) )
| ( a7
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y3
@ a6
@ a0
@ a5
@ a7
@ a1
@ a8
@ a4
@ a9
@ a2
@ a3 ) )
| ( a8
!= ( X1 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a4
!= ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a4
!= ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a4
!= ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a7
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a6
@ a6
@ a1
@ a9
@ a3
@ a2
@ a4
@ a5
@ a7
@ a0
@ a8 )
@ ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
@ ( X1 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
@ ( X2 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y3
@ a6
@ a1
@ a9
@ a3
@ a2
@ a4
@ a5
@ a7
@ a0
@ a8 )
@ a9
@ a8
@ a1 ) )
| ( a3
!= ( X2 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a0
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a6
@ a6
@ a4
@ a2
@ a9
@ a5
@ a7
@ a3
@ a0
@ a1
@ a8 )
@ ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
@ ( X1 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
@ ( X2 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y3
@ a6
@ a4
@ a2
@ a9
@ a5
@ a7
@ a3
@ a0
@ a1
@ a8 )
@ a2
@ a8
@ a1 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a5
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a6
@ a4
@ a6
@ a2
@ a8
@ a3
@ a0
@ a1
@ a5
@ a7
@ a9 )
@ ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
@ ( X1 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
@ ( X2 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y3
@ a4
@ a6
@ a2
@ a8
@ a3
@ a0
@ a1
@ a5
@ a7
@ a9 )
@ a2
@ a8
@ a1 ) )
| ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a3
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a6
@ a7
@ a8
@ a9
@ a0
@ a6
@ a2
@ a1
@ a3
@ a5
@ a4 )
@ ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
@ ( X1 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
@ ( X2 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y3
@ a7
@ a8
@ a9
@ a0
@ a6
@ a2
@ a1
@ a3
@ a5
@ a4 )
@ a9
@ a8
@ a1 ) )
| ( a5
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y3
@ a6
@ a4
@ a2
@ a5
@ a9
@ a3
@ a1
@ a8
@ a0
@ a7 ) )
| ( a3
!= ( X1 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a3
!= ( X1 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f @ a9 @ a5
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a6
@ a2
@ a4
@ a8
@ a3
@ a1
@ a7
@ a0
@ a5
@ a9
@ a6 )
@ ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
@ ( X1 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
@ ( X2 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y3
@ a2
@ a4
@ a8
@ a3
@ a1
@ a7
@ a0
@ a5
@ a9
@ a6 )
@ a8
@ a8
@ a1 ) ) ),
inference(equality_resolution,[],[f25]) ).
thf(f43,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( a6 != a6 )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X1 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X2 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ a8 @ a2 @ a8 @ a1 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X1 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X2 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ a3 @ a8 @ a8 @ a1 ) )
| ( a6
!= ( X2 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a4
!= ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a3 @ a6 @ ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X1 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X2 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ a0 @ a9 @ a8 @ a1 ) )
| ( a7 != a7 )
| ( a5 != a5 )
| ( a6 != a6 )
| ( a6 != a6 )
| ( a6
!= ( X2 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a3
!= ( X2 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) )
| ( a5 != a5 )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a0 @ a6 @ ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X1 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X2 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ a9 @ a2 @ a8 @ a1 ) )
| ( ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 )
!= ( f @ a9 @ a6 @ a6 @ ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X1 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X2 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ a0 @ a5 @ a8 @ a1 ) )
| ( a4
!= ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a3
!= ( X1 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a7 @ a6 @ ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X1 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X2 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ a3 @ a9 @ a8 @ a1 ) )
| ( a4
!= ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) )
| ( a6
!= ( X1 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) )
| ( a8
!= ( X2 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a8
!= ( X1 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a3
!= ( X1 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a4
!= ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) ) ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f44,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( a8
!= ( X1 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a4
!= ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) )
| ( ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 )
!= ( f @ a9 @ a6 @ a6 @ ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X1 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X2 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ a0 @ a5 @ a8 @ a1 ) )
| ( a3
!= ( X2 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) )
| ( a3
!= ( X1 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X1 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X2 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ a3 @ a8 @ a8 @ a1 ) )
| ( a4
!= ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a5 != a5 )
| ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a3 @ a6 @ ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X1 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X2 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ a0 @ a9 @ a8 @ a1 ) )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a0 @ a6 @ ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X1 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X2 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ a9 @ a2 @ a8 @ a1 ) )
| ( a4
!= ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a4
!= ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a6
!= ( X2 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a6 != a6 )
| ( a8
!= ( X2 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a3
!= ( X1 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a6
!= ( X1 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) )
| ( a7 != a7 )
| ( ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a7 @ a6 @ ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X1 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X2 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ a3 @ a9 @ a8 @ a1 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X1 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X2 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ a8 @ a2 @ a8 @ a1 ) )
| ( a6
!= ( X2 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) ) ),
inference(duplicate_literal_removal,[],[f43]) ).
thf(f45,plain,
! [X2: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i,X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( f @ a9 @ a7 @ a6 @ a4 @ a4 @ a6 @ a3 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a7 @ a6 @ ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X1 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ ( X2 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) @ a3 @ a9 @ a8 @ a1 ) )
| ( a4
!= ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a6
!= ( X1 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a0 @ a6 @ ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X1 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ ( X2 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ a9 @ a2 @ a8 @ a1 ) )
| ( a4
!= ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a3 @ a6 @ ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X1 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ ( X2 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ a0 @ a9 @ a8 @ a1 ) )
| ( a3
!= ( X2 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) )
| ( a3
!= ( X1 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a8
!= ( X2 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X1 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ ( X2 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ a3 @ a8 @ a8 @ a1 ) )
| ( a8
!= ( X1 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a4
!= ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) )
| ( a6
!= ( X2 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a3
!= ( X1 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a6
!= ( X2 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a4
!= ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 )
!= ( f @ a9 @ a6 @ a6 @ ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X1 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ ( X2 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ a0 @ a5 @ a8 @ a1 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X1 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ ( X2 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ a8 @ a2 @ a8 @ a1 ) ) ),
inference(trivial_inequality_removal,[],[f44]) ).
thf(f48,plain,
! [X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a3 @ a6
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a4
@ a7
@ a8
@ a9
@ a0
@ a6
@ a2
@ a1
@ a3
@ a5
@ a4 )
@ ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y0
@ a7
@ a8
@ a9
@ a0
@ a6
@ a2
@ a1
@ a3
@ a5
@ a4 )
@ a0
@ a9
@ a8
@ a1 ) )
| ( a4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a4
@ a8
@ a9
@ a1
@ a5
@ a4
@ a3
@ a7
@ a2
@ a0
@ a6 ) )
| ( a6
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y0
@ a6
@ a0
@ a5
@ a7
@ a1
@ a8
@ a4
@ a9
@ a2
@ a3 ) )
| ( a4
!= ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) )
| ( a3
!= ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( a3
!= ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a0 @ a6
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a4
@ a6
@ a4
@ a2
@ a9
@ a5
@ a7
@ a3
@ a0
@ a1
@ a8 )
@ ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y0
@ a6
@ a4
@ a2
@ a9
@ a5
@ a7
@ a3
@ a0
@ a1
@ a8 )
@ a9
@ a2
@ a8
@ a1 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a4
@ a2
@ a4
@ a8
@ a3
@ a1
@ a7
@ a0
@ a5
@ a9
@ a6 )
@ ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y0
@ a2
@ a4
@ a8
@ a3
@ a1
@ a7
@ a0
@ a5
@ a9
@ a6 )
@ a3
@ a8
@ a8
@ a1 ) )
| ( a6
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y0
@ a6
@ a4
@ a2
@ a5
@ a9
@ a3
@ a1
@ a8
@ a0
@ a7 ) )
| ( a4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a4
@ a3
@ a2
@ a1
@ a4
@ a5
@ a6
@ a9
@ a7
@ a8
@ a0 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a4
@ a4
@ a6
@ a2
@ a8
@ a3
@ a0
@ a1
@ a5
@ a7
@ a9 )
@ ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y0
@ a4
@ a6
@ a2
@ a8
@ a3
@ a0
@ a1
@ a5
@ a7
@ a9 )
@ a8
@ a2
@ a8
@ a1 ) )
| ( a4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a4
@ a6
@ a0
@ a5
@ a7
@ a1
@ a8
@ a4
@ a9
@ a2
@ a3 ) )
| ( a8
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y0
@ a8
@ a9
@ a1
@ a5
@ a4
@ a3
@ a7
@ a2
@ a0
@ a6 ) )
| ( a4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a4
@ a6
@ a4
@ a2
@ a5
@ a9
@ a3
@ a1
@ a8
@ a0
@ a7 ) )
| ( ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 )
!= ( f @ a9 @ a6 @ a6
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : a4
@ a8
@ a2
@ a5
@ a0
@ a4
@ a3
@ a9
@ a6
@ a7
@ a1 )
@ ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y0
@ a8
@ a2
@ a5
@ a0
@ a4
@ a3
@ a9
@ a6
@ a7
@ a1 )
@ a0
@ a5
@ a8
@ a1 ) )
| ( a3
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y0
@ a3
@ a2
@ a1
@ a4
@ a5
@ a6
@ a9
@ a7
@ a8
@ a0 ) )
| ( a6
!= ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) )
| ( a8
!= ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) ) ),
inference(equality_resolution,[],[f45]) ).
thf(f53,plain,
! [X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( a8
!= ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a4 != a4 )
| ( ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 )
!= ( f @ a9 @ a6 @ a6 @ a4 @ ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ a8 @ a0 @ a5 @ a8 @ a1 ) )
| ( a3
!= ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ a4 @ ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ a4 @ a8 @ a2 @ a8 @ a1 ) )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a0 @ a6 @ a4 @ ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ a6 @ a9 @ a2 @ a8 @ a1 ) )
| ( a3 != a3 )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ a4 @ ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ a2 @ a3 @ a8 @ a8 @ a1 ) )
| ( a4 != a4 )
| ( a4 != a4 )
| ( a8 != a8 )
| ( a6 != a6 )
| ( a4 != a4 )
| ( a4
!= ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) )
| ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a3 @ a6 @ a4 @ ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ a7 @ a0 @ a9 @ a8 @ a1 ) )
| ( a3
!= ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a6
!= ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) )
| ( a6 != a6 ) ),
inference(beta-eta_normalization,[],[f48]) ).
thf(f54,plain,
! [X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a0 @ a6 @ a4 @ ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ a6 @ a9 @ a2 @ a8 @ a1 ) )
| ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a3 @ a6 @ a4 @ ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ a7 @ a0 @ a9 @ a8 @ a1 ) )
| ( a4 != a4 )
| ( a8 != a8 )
| ( a6
!= ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ a4 @ ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ a4 @ a8 @ a2 @ a8 @ a1 ) )
| ( a8
!= ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( a4
!= ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ a4 @ ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ a2 @ a3 @ a8 @ a8 @ a1 ) )
| ( a3
!= ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a3 != a3 )
| ( a6 != a6 )
| ( a3
!= ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) )
| ( ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 )
!= ( f @ a9 @ a6 @ a6 @ a4 @ ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ a8 @ a0 @ a5 @ a8 @ a1 ) ) ),
inference(duplicate_literal_removal,[],[f53]) ).
thf(f55,plain,
! [X0: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( f @ a9 @ a6 @ a6 @ a4 @ a3 @ a8 @ a0 @ a5 @ a8 @ a1 )
!= ( f @ a9 @ a6 @ a6 @ a4 @ ( X0 @ a8 @ a2 @ a5 @ a0 @ a4 @ a3 @ a9 @ a6 @ a7 @ a1 ) @ a8 @ a0 @ a5 @ a8 @ a1 ) )
| ( a4
!= ( X0 @ a6 @ a1 @ a9 @ a3 @ a2 @ a4 @ a5 @ a7 @ a0 @ a8 ) )
| ( a6
!= ( X0 @ a3 @ a2 @ a1 @ a4 @ a5 @ a6 @ a9 @ a7 @ a8 @ a0 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ a4 @ ( X0 @ a2 @ a4 @ a8 @ a3 @ a1 @ a7 @ a0 @ a5 @ a9 @ a6 ) @ a2 @ a3 @ a8 @ a8 @ a1 ) )
| ( a8
!= ( X0 @ a6 @ a0 @ a5 @ a7 @ a1 @ a8 @ a4 @ a9 @ a2 @ a3 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ a4 @ ( X0 @ a4 @ a6 @ a2 @ a8 @ a3 @ a0 @ a1 @ a5 @ a7 @ a9 ) @ a4 @ a8 @ a2 @ a8 @ a1 ) )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a0 @ a6 @ a4 @ ( X0 @ a6 @ a4 @ a2 @ a9 @ a5 @ a7 @ a3 @ a0 @ a1 @ a8 ) @ a6 @ a9 @ a2 @ a8 @ a1 ) )
| ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a3 @ a6 @ a4 @ ( X0 @ a7 @ a8 @ a9 @ a0 @ a6 @ a2 @ a1 @ a3 @ a5 @ a4 ) @ a7 @ a0 @ a9 @ a8 @ a1 ) )
| ( a3
!= ( X0 @ a8 @ a9 @ a1 @ a5 @ a4 @ a3 @ a7 @ a2 @ a0 @ a6 ) )
| ( a3
!= ( X0 @ a6 @ a4 @ a2 @ a5 @ a9 @ a3 @ a1 @ a8 @ a0 @ a7 ) ) ),
inference(trivial_inequality_removal,[],[f54]) ).
thf(f62,plain,
( ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a3 @ a6 @ a4
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y5
@ a7
@ a8
@ a9
@ a0
@ a6
@ a2
@ a1
@ a3
@ a5
@ a4 )
@ a7
@ a0
@ a9
@ a8
@ a1 ) )
| ( a6
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y5
@ a3
@ a2
@ a1
@ a4
@ a5
@ a6
@ a9
@ a7
@ a8
@ a0 ) )
| ( a3
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y5
@ a8
@ a9
@ a1
@ a5
@ a4
@ a3
@ a7
@ a2
@ a0
@ a6 ) )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a0 @ a6 @ a4
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y5
@ a6
@ a4
@ a2
@ a9
@ a5
@ a7
@ a3
@ a0
@ a1
@ a8 )
@ a6
@ a9
@ a2
@ a8
@ a1 ) )
| ( a8
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y5
@ a6
@ a0
@ a5
@ a7
@ a1
@ a8
@ a4
@ a9
@ a2
@ a3 ) )
| ( a3
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y5
@ a6
@ a4
@ a2
@ a5
@ a9
@ a3
@ a1
@ a8
@ a0
@ a7 ) )
| ( a4
!= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y5
@ a6
@ a1
@ a9
@ a3
@ a2
@ a4
@ a5
@ a7
@ a0
@ a8 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ a4
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y5
@ a4
@ a6
@ a2
@ a8
@ a3
@ a0
@ a1
@ a5
@ a7
@ a9 )
@ a4
@ a8
@ a2
@ a8
@ a1 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ a4
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i,Y5: $i,Y6: $i,Y7: $i,Y8: $i,Y9: $i] : Y5
@ a2
@ a4
@ a8
@ a3
@ a1
@ a7
@ a0
@ a5
@ a9
@ a6 )
@ a2
@ a3
@ a8
@ a8
@ a1 ) ) ),
inference(equality_resolution,[],[f55]) ).
thf(f67,plain,
( ( a4 != a4 )
| ( a8 != a8 )
| ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 ) )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 ) )
| ( a6 != a6 )
| ( a3 != a3 )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 ) )
| ( a3 != a3 ) ),
inference(beta-eta_normalization,[],[f62]) ).
thf(f68,plain,
( ( a6 != a6 )
| ( a4 != a4 )
| ( ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 )
!= ( f @ a9 @ a3 @ a6 @ a4 @ a2 @ a7 @ a0 @ a9 @ a8 @ a1 ) )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ a4 @ a0 @ a4 @ a8 @ a2 @ a8 @ a1 ) )
| ( a8 != a8 )
| ( ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 )
!= ( f @ a9 @ a5 @ a6 @ a4 @ a7 @ a2 @ a3 @ a8 @ a8 @ a1 ) )
| ( a3 != a3 )
| ( ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 )
!= ( f @ a9 @ a0 @ a6 @ a4 @ a7 @ a6 @ a9 @ a2 @ a8 @ a1 ) ) ),
inference(duplicate_literal_removal,[],[f67]) ).
thf(f69,plain,
$false,
inference(trivial_inequality_removal,[],[f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO885^1.010.010 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n003.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Tue Sep 29 17:26:29 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running higher-order theorem proving
% 0.11/0.24 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
% 0.35/0.34 % (2797378)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.35/0.34 % (2797383)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1290582559:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.35/0.34 % (2797389)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.35/0.34 % (2797389)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
% 0.35/0.34 % (2797384)lrs+10_16_si=on:nwc=1.5:random_seed=3158134791:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.35/0.34 % (2797385)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4183118053:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.35/0.34 % (2797386)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=4109818495: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)
% 0.35/0.34 % (2797388)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1391260456:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.35/0.34 % (2797387)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3468586413:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.35/0.34 % (2797389)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=933552387:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.35/0.34 % (2797385)Instruction limit reached!
% 0.35/0.34 % (2797385)------------------------------
% 0.35/0.34 % (2797385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.34 % (2797385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.34 % (2797385)CaDiCaL version: 2.1.3
% 0.35/0.34 % (2797385)Termination reason: Instruction limit
% 0.35/0.34 % (2797385)Termination phase: Saturation
% 0.35/0.34 % (2797385)Time elapsed: 0.003 s
% 0.35/0.34 % (2797385)Peak memory usage: 11 MB
% 0.35/0.34 % (2797385)Instructions burned: 8 (million)
% 0.35/0.34 % (2797383)Refutation not found, incomplete strategy
% 0.35/0.34 % (2797383)------------------------------
% 0.35/0.34 % (2797383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.34 % (2797383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.34 % (2797383)CaDiCaL version: 2.1.3
% 0.35/0.34 % (2797383)Termination reason: Refutation not found, incomplete strategy
% 0.35/0.34 % (2797383)Time elapsed: 0.012 s
% 0.35/0.34 % (2797383)Peak memory usage: 13 MB
% 0.35/0.34 % (2797383)Instructions burned: 44 (million)
% 0.35/0.34 % (2797383)------------------------------
% 0.35/0.34 % (2797383)------------------------------
% 0.35/0.34 % (2797384)Instruction limit reached!
% 0.35/0.34 % (2797384)------------------------------
% 0.35/0.34 % (2797384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.34 % (2797384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.34 % (2797384)CaDiCaL version: 2.1.3
% 0.35/0.34 % (2797384)Termination reason: Instruction limit
% 0.35/0.34 % (2797384)Termination phase: Saturation
% 0.35/0.34 % (2797384)Time elapsed: 0.009 s
% 0.35/0.34 % (2797384)Peak memory usage: 12 MB
% 0.35/0.34 % (2797384)Instructions burned: 20 (million)
% 0.35/0.34 % (2797387)Instruction limit reached!
% 0.35/0.34 % (2797387)------------------------------
% 0.35/0.34 % (2797387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.34 % (2797387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.34 % (2797387)CaDiCaL version: 2.1.3
% 0.35/0.34 % (2797387)Termination reason: Instruction limit
% 0.35/0.34 % (2797387)Termination phase: Saturation
% 0.35/0.34 % (2797387)Time elapsed: 0.010 s
% 0.35/0.34 % (2797387)Peak memory usage: 12 MB
% 0.35/0.34 % (2797387)Instructions burned: 25 (million)
% 0.35/0.34 % (2797389)Refutation not found, incomplete strategy
% 0.35/0.34 % (2797389)------------------------------
% 0.35/0.34 % (2797389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.34 % (2797389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.36 % (2797389)CaDiCaL version: 2.1.3
% 0.35/0.36 % (2797389)Termination reason: Refutation not found, incomplete strategy
% 0.35/0.36 % (2797389)Time elapsed: 0.011 s
% 0.35/0.36 % (2797398)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=461836092:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.35/0.36 % (2797389)Peak memory usage: 12 MB
% 0.35/0.36 % (2797389)Instructions burned: 14 (million)
% 0.35/0.36 % (2797389)------------------------------
% 0.35/0.36 % (2797389)------------------------------
% 0.35/0.36 % (2797398)Instruction limit reached!
% 0.35/0.36 % (2797398)------------------------------
% 0.35/0.36 % (2797398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.36 % (2797398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.36 % (2797398)CaDiCaL version: 2.1.3
% 0.35/0.36 % (2797398)Termination reason: Instruction limit
% 0.35/0.36 % (2797398)Termination phase: Saturation
% 0.35/0.36 % (2797398)Time elapsed: 0.004 s
% 0.35/0.36 % (2797398)Peak memory usage: 12 MB
% 0.35/0.36 % (2797398)Instructions burned: 19 (million)
% 0.35/0.36 % (2797399)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.35/0.36 % (2797386)Refutation not found, incomplete strategy
% 0.35/0.36 % (2797386)------------------------------
% 0.35/0.36 % (2797386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.36 % (2797386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.36 % (2797386)CaDiCaL version: 2.1.3
% 0.35/0.36 % (2797386)Termination reason: Refutation not found, incomplete strategy
% 0.35/0.36 % (2797386)Time elapsed: 0.026 s
% 0.35/0.36 % (2797386)Peak memory usage: 13 MB
% 0.35/0.36 % (2797386)Instructions burned: 49 (million)
% 0.35/0.36 % (2797386)------------------------------
% 0.35/0.36 % (2797386)------------------------------
% 0.35/0.36 % (2797399)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=714192343:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.35/0.36 % (2797397)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=98629792:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.35/0.36 % (2797400)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3488361267:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.35/0.36 % (2797397)Instruction limit reached!
% 0.35/0.36 % (2797397)------------------------------
% 0.35/0.36 % (2797397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.36 % (2797397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.36 % (2797397)CaDiCaL version: 2.1.3
% 0.35/0.36 % (2797397)Termination reason: Instruction limit
% 0.35/0.36 % (2797397)Termination phase: Saturation
% 0.35/0.36 % (2797397)Time elapsed: 0.002 s
% 0.35/0.36 % (2797403)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=3598276620:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.35/0.36 % (2797397)Peak memory usage: 12 MB
% 0.35/0.36 % (2797397)Instructions burned: 3 (million)
% 0.35/0.36 % (2797402)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
% 0.35/0.36 % (2797402)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.35/0.36 % (2797399)Instruction limit reached!
% 0.35/0.36 % (2797399)------------------------------
% 0.35/0.36 % (2797399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.36 % (2797399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.36 % (2797399)CaDiCaL version: 2.1.3
% 0.35/0.36 % (2797399)Termination reason: Instruction limit
% 0.35/0.36 % (2797399)Termination phase: Saturation
% 0.35/0.36 % (2797399)Time elapsed: 0.004 s
% 0.35/0.36 % (2797399)Peak memory usage: 12 MB
% 0.35/0.36 % (2797399)Instructions burned: 7 (million)
% 0.35/0.36 % (2797402)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=162611207:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.35/0.38 % (2797400)Instruction limit reached!
% 0.35/0.38 % (2797400)------------------------------
% 0.35/0.38 % (2797400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.38 % (2797388)Instruction limit reached!
% 0.35/0.38 % (2797388)------------------------------
% 0.35/0.38 % (2797388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.38 % (2797388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.38 % (2797388)CaDiCaL version: 2.1.3
% 0.35/0.38 % (2797388)Termination reason: Instruction limit
% 0.35/0.38 % (2797388)Termination phase: Saturation
% 0.35/0.38 % (2797388)Time elapsed: 0.037 s
% 0.35/0.38 % (2797388)Peak memory usage: 14 MB
% 0.35/0.38 % (2797388)Instructions burned: 77 (million)
% 0.35/0.38 % (2797400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.38 % (2797400)CaDiCaL version: 2.1.3
% 0.35/0.38 % (2797400)Termination reason: Instruction limit
% 0.35/0.38 % (2797400)Termination phase: Saturation
% 0.35/0.38 % (2797400)Time elapsed: 0.007 s
% 0.35/0.38 % (2797400)Peak memory usage: 12 MB
% 0.35/0.38 % (2797400)Instructions burned: 14 (million)
% 0.35/0.38 % (2797412)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.35/0.38 % (2797408)lrs+10_1_si=on:cs=on:random_seed=1482842325:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.35/0.38 % (2797402)Instruction limit reached!
% 0.35/0.38 % (2797402)------------------------------
% 0.35/0.38 % (2797402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.38 % (2797402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.38 % (2797402)CaDiCaL version: 2.1.3
% 0.35/0.38 % (2797402)Termination reason: Instruction limit
% 0.35/0.38 % (2797402)Termination phase: Saturation
% 0.35/0.38 % (2797402)Time elapsed: 0.013 s
% 0.35/0.38 % (2797402)Peak memory usage: 12 MB
% 0.35/0.38 % (2797402)Instructions burned: 29 (million)
% 0.35/0.38 % (2797412)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=3520532665:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.35/0.38 % (2797412)Instruction limit reached!
% 0.35/0.38 % (2797412)------------------------------
% 0.35/0.38 % (2797412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.38 % (2797412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.38 % (2797412)CaDiCaL version: 2.1.3
% 0.35/0.38 % (2797412)Termination reason: Instruction limit
% 0.35/0.38 % (2797412)Termination phase: Property scanning
% 0.35/0.38 % (2797412)Time elapsed: 0.001 s
% 0.35/0.38 % (2797412)Peak memory usage: 9 MB
% 0.35/0.38 % (2797412)Instructions burned: 2 (million)
% 0.35/0.38 % (2797403)Instruction limit reached!
% 0.35/0.38 % (2797403)------------------------------
% 0.35/0.38 % (2797403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.38 % (2797403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.38 % (2797403)CaDiCaL version: 2.1.3
% 0.35/0.38 % (2797403)Termination reason: Instruction limit
% 0.35/0.38 % (2797403)Termination phase: Saturation
% 0.35/0.38 % (2797403)Time elapsed: 0.020 s
% 0.35/0.38 % (2797403)Peak memory usage: 13 MB
% 0.35/0.38 % (2797403)Instructions burned: 87 (million)
% 0.35/0.38 % (2797408)Instruction limit reached!
% 0.35/0.38 % (2797408)------------------------------
% 0.35/0.38 % (2797408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.38 % (2797408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.38 % (2797408)CaDiCaL version: 2.1.3
% 0.35/0.38 % (2797408)Termination reason: Instruction limit
% 0.35/0.38 % (2797408)Termination phase: Saturation
% 0.35/0.38 % (2797408)Time elapsed: 0.004 s
% 0.35/0.38 % (2797408)Peak memory usage: 11 MB
% 0.35/0.38 % (2797408)Instructions burned: 9 (million)
% 0.35/0.38 % (2797414)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1248324025:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.35/0.38 % (2797417)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=634460809:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.35/0.38 % (2797418)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3406129064:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.96/0.41 % (2797430)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=536231080:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.96/0.41 % (2797430)Instruction limit reached!
% 0.96/0.41 % (2797430)------------------------------
% 0.96/0.41 % (2797430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (2797430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (2797430)CaDiCaL version: 2.1.3
% 0.96/0.41 % (2797430)Termination reason: Instruction limit
% 0.96/0.41 % (2797430)Termination phase: Saturation
% 0.96/0.41 % (2797430)Time elapsed: 0.004 s
% 0.96/0.41 % (2797430)Peak memory usage: 12 MB
% 0.96/0.41 % (2797430)Instructions burned: 18 (million)
% 0.96/0.41 % (2797418)Instruction limit reached!
% 0.96/0.41 % (2797418)------------------------------
% 0.96/0.41 % (2797418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (2797418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (2797418)CaDiCaL version: 2.1.3
% 0.96/0.41 % (2797418)Termination reason: Instruction limit
% 0.96/0.41 % (2797418)Termination phase: Saturation
% 0.96/0.41 % (2797418)Time elapsed: 0.011 s
% 0.96/0.41 % (2797418)Peak memory usage: 12 MB
% 0.96/0.41 % (2797418)Instructions burned: 25 (million)
% 0.96/0.41 % (2797426)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3924945806:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.96/0.41 % (2797414)Instruction limit reached!
% 0.96/0.41 % (2797414)------------------------------
% 0.96/0.41 % (2797414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (2797414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (2797414)CaDiCaL version: 2.1.3
% 0.96/0.41 % (2797414)Termination reason: Instruction limit
% 0.96/0.41 % (2797414)Termination phase: Saturation
% 0.96/0.41 % (2797414)Time elapsed: 0.016 s
% 0.96/0.41 % (2797414)Peak memory usage: 12 MB
% 0.96/0.41 % (2797414)Instructions burned: 38 (million)
% 0.96/0.41 % (2797428)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3336748599:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.96/0.41 % (2797431)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3888935225:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.96/0.41 % (2797431)Instruction limit reached!
% 0.96/0.41 % (2797431)------------------------------
% 0.96/0.41 % (2797431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (2797431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (2797431)CaDiCaL version: 2.1.3
% 0.96/0.41 % (2797431)Termination reason: Instruction limit
% 0.96/0.41 % (2797431)Termination phase: Saturation
% 0.96/0.41 % (2797431)Time elapsed: 0.004 s
% 0.96/0.41 % (2797431)Peak memory usage: 11 MB
% 0.96/0.41 % (2797431)Instructions burned: 8 (million)
% 0.96/0.41 % (2797426)Instruction limit reached!
% 0.96/0.41 % (2797426)------------------------------
% 0.96/0.41 % (2797426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (2797426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (2797426)CaDiCaL version: 2.1.3
% 0.96/0.41 % (2797426)Termination reason: Instruction limit
% 0.96/0.41 % (2797426)Termination phase: Saturation
% 0.96/0.41 % (2797426)Time elapsed: 0.006 s
% 0.96/0.41 % (2797426)Peak memory usage: 12 MB
% 0.96/0.41 % (2797426)Instructions burned: 15 (million)
% 0.96/0.41 % (2797442)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2482539323:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.96/0.41 % (2797417)Refutation not found, incomplete strategy
% 0.96/0.41 % (2797417)------------------------------
% 0.96/0.41 % (2797417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.41 % (2797417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.41 % (2797417)CaDiCaL version: 2.1.3
% 0.96/0.41 % (2797417)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.41 % (2797417)Time elapsed: 0.021 s
% 0.96/0.44 % (2797417)Peak memory usage: 13 MB
% 0.96/0.44 % (2797417)Instructions burned: 44 (million)
% 0.96/0.44 % (2797417)------------------------------
% 0.96/0.44 % (2797417)------------------------------
% 0.96/0.44 % (2797444)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=825431031:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.96/0.44 % (2797442)Instruction limit reached!
% 0.96/0.44 % (2797442)------------------------------
% 0.96/0.44 % (2797442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.44 % (2797442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.44 % (2797442)CaDiCaL version: 2.1.3
% 0.96/0.44 % (2797442)Termination reason: Instruction limit
% 0.96/0.44 % (2797442)Termination phase: Saturation
% 0.96/0.44 % (2797442)Time elapsed: 0.010 s
% 0.96/0.44 % (2797442)Peak memory usage: 12 MB
% 0.96/0.44 % (2797442)Instructions burned: 47 (million)
% 0.96/0.44 % (2797446)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1307926752:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.96/0.44 % (2797451)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
% 0.96/0.44 % (2797451)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.96/0.44 % (2797453)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.96/0.44 % (2797451)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=641574655:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.96/0.44 % (2797428)Refutation not found, incomplete strategy
% 0.96/0.44 % (2797428)------------------------------
% 0.96/0.44 % (2797428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.44 % (2797428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.44 % (2797428)CaDiCaL version: 2.1.3
% 0.96/0.44 % (2797428)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.44 % (2797428)Time elapsed: 0.024 s
% 0.96/0.44 % (2797428)Peak memory usage: 13 MB
% 0.96/0.44 % (2797428)Instructions burned: 47 (million)
% 0.96/0.44 % (2797446)Refutation not found, incomplete strategy
% 0.96/0.44 % (2797446)------------------------------
% 0.96/0.44 % (2797446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.44 % (2797446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.44 % (2797446)CaDiCaL version: 2.1.3
% 0.96/0.44 % (2797446)Termination reason: Refutation not found, incomplete strategy
% 0.96/0.44 % (2797446)Time elapsed: 0.006 s
% 0.96/0.44 % (2797446)Peak memory usage: 12 MB
% 0.96/0.44 % (2797446)Instructions burned: 13 (million)
% 0.96/0.44 % (2797428)------------------------------
% 0.96/0.44 % (2797428)------------------------------
% 0.96/0.44 % (2797446)------------------------------
% 0.96/0.44 % (2797446)------------------------------
% 0.96/0.44 % (2797453)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=659274722:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.96/0.44 % (2797462)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=258910772:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.96/0.44 % (2797444)Instruction limit reached!
% 0.96/0.44 % (2797444)------------------------------
% 0.96/0.44 % (2797444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.44 % (2797444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.44 % (2797444)CaDiCaL version: 2.1.3
% 0.96/0.44 % (2797444)Termination reason: Instruction limit
% 0.96/0.44 % (2797444)Termination phase: Saturation
% 0.96/0.44 % (2797444)Time elapsed: 0.010 s
% 0.96/0.44 % (2797444)Peak memory usage: 12 MB
% 0.96/0.44 % (2797444)Instructions burned: 24 (million)
% 0.96/0.44 % (2797462)Instruction limit reached!
% 0.96/0.44 % (2797462)------------------------------
% 0.96/0.44 % (2797462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.44 % (2797462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.48 % (2797462)CaDiCaL version: 2.1.3
% 1.52/0.48 % (2797462)Termination reason: Instruction limit
% 1.52/0.48 % (2797462)Termination phase: Saturation
% 1.52/0.48 % (2797462)Time elapsed: 0.003 s
% 1.52/0.48 % (2797462)Peak memory usage: 12 MB
% 1.52/0.48 % (2797462)Instructions burned: 15 (million)
% 1.52/0.48 % (2797453)Instruction limit reached!
% 1.52/0.48 % (2797453)------------------------------
% 1.52/0.48 % (2797453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.48 % (2797451)Instruction limit reached!
% 1.52/0.48 % (2797451)------------------------------
% 1.52/0.48 % (2797451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.48 % (2797453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.48 % (2797451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.48 % (2797453)CaDiCaL version: 2.1.3
% 1.52/0.48 % (2797453)Termination reason: Instruction limit
% 1.52/0.48 % (2797453)Termination phase: Saturation
% 1.52/0.48 % (2797451)CaDiCaL version: 2.1.3
% 1.52/0.48 % (2797451)Termination reason: Instruction limit
% 1.52/0.48 % (2797451)Termination phase: Saturation
% 1.52/0.48 % (2797453)Time elapsed: 0.006 s
% 1.52/0.48 % (2797451)Time elapsed: 0.008 s
% 1.52/0.48 % (2797453)Peak memory usage: 12 MB
% 1.52/0.48 % (2797451)Peak memory usage: 13 MB
% 1.52/0.48 % (2797453)Instructions burned: 12 (million)
% 1.52/0.48 % (2797451)Instructions burned: 14 (million)
% 1.52/0.48 % (2797457)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=1084906490:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.52/0.48 % (2797480)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4175775489:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.52/0.48 % (2797467)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3310991817:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.52/0.48 % (2797474)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1259451334:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.52/0.48 % (2797457)Instruction limit reached!
% 1.52/0.48 % (2797457)------------------------------
% 1.52/0.48 % (2797457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.48 % (2797457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.48 % (2797457)CaDiCaL version: 2.1.3
% 1.52/0.48 % (2797457)Termination reason: Instruction limit
% 1.52/0.48 % (2797457)Termination phase: Saturation
% 1.52/0.48 % (2797457)Time elapsed: 0.015 s
% 1.52/0.48 % (2797457)Peak memory usage: 12 MB
% 1.52/0.48 % (2797457)Instructions burned: 33 (million)
% 1.52/0.48 % (2797481)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1857807899:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.52/0.48 % (2797469)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2371711374:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.52/0.48 % (2797467)Instruction limit reached!
% 1.52/0.48 % (2797467)------------------------------
% 1.52/0.48 % (2797467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.48 % (2797467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.48 % (2797467)CaDiCaL version: 2.1.3
% 1.52/0.48 % (2797467)Termination reason: Instruction limit
% 1.52/0.48 % (2797467)Termination phase: Saturation
% 1.52/0.48 % (2797467)Time elapsed: 0.009 s
% 1.52/0.48 % (2797467)Peak memory usage: 11 MB
% 1.52/0.48 % (2797467)Instructions burned: 24 (million)
% 1.52/0.48 % (2797480)Refutation not found, incomplete strategy
% 1.52/0.48 % (2797480)------------------------------
% 1.52/0.48 % (2797480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.48 % (2797480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.48 % (2797480)CaDiCaL version: 2.1.3
% 1.52/0.48 % (2797480)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.48 % (2797480)Time elapsed: 0.012 s
% 1.52/0.48 % (2797480)Peak memory usage: 14 MB
% 1.52/0.48 % (2797480)Instructions burned: 44 (million)
% 1.52/0.48 % (2797480)------------------------------
% 1.52/0.48 % (2797480)------------------------------
% 1.52/0.48 % (2797477)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=361842863:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.52/0.52 % (2797469)Instruction limit reached!
% 1.52/0.52 % (2797469)------------------------------
% 1.52/0.52 % (2797469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.52 % (2797489)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.52/0.52 % (2797469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.52 % (2797469)CaDiCaL version: 2.1.3
% 1.52/0.52 % (2797469)Termination reason: Instruction limit
% 1.52/0.52 % (2797469)Termination phase: Saturation
% 1.52/0.52 % (2797469)Time elapsed: 0.010 s
% 1.52/0.52 % (2797469)Peak memory usage: 12 MB
% 1.52/0.52 % (2797469)Instructions burned: 22 (million)
% 1.52/0.52 % (2797495)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=2219725317: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)
% 1.52/0.52 % (2797489)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1644069233:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.52/0.52 % (2797481)Instruction limit reached!
% 1.52/0.52 % (2797481)------------------------------
% 1.52/0.52 % (2797481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.52 % (2797481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.52 % (2797481)CaDiCaL version: 2.1.3
% 1.52/0.52 % (2797481)Termination reason: Instruction limit
% 1.52/0.52 % (2797481)Termination phase: Saturation
% 1.52/0.52 % (2797481)Time elapsed: 0.019 s
% 1.52/0.52 % (2797481)Peak memory usage: 12 MB
% 1.52/0.52 % (2797481)Instructions burned: 43 (million)
% 1.52/0.52 % (2797489)Instruction limit reached!
% 1.52/0.52 % (2797489)------------------------------
% 1.52/0.52 % (2797489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.52 % (2797489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.52 % (2797489)CaDiCaL version: 2.1.3
% 1.52/0.52 % (2797489)Termination reason: Instruction limit
% 1.52/0.52 % (2797489)Termination phase: Saturation
% 1.52/0.52 % (2797489)Time elapsed: 0.004 s
% 1.52/0.52 % (2797489)Peak memory usage: 12 MB
% 1.52/0.52 % (2797489)Instructions burned: 7 (million)
% 1.52/0.52 % (2797493)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=853394667:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.52/0.52 % (2797500)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.52/0.52 % (2797495)Refutation not found, incomplete strategy
% 1.52/0.52 % (2797495)------------------------------
% 1.52/0.52 % (2797495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.52 % (2797495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.52 % (2797495)CaDiCaL version: 2.1.3
% 1.52/0.52 % (2797495)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.52 % (2797495)Time elapsed: 0.014 s
% 1.52/0.52 % (2797495)Peak memory usage: 14 MB
% 1.52/0.52 % (2797495)Instructions burned: 52 (million)
% 1.52/0.52 % (2797474)Refutation not found, incomplete strategy
% 1.52/0.52 % (2797474)------------------------------
% 1.52/0.52 % (2797474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.52 % (2797474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.52 % (2797474)CaDiCaL version: 2.1.3
% 1.52/0.52 % (2797474)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.52 % (2797474)Time elapsed: 0.032 s
% 1.52/0.52 % (2797474)Peak memory usage: 14 MB
% 1.52/0.52 % (2797474)Instructions burned: 66 (million)
% 1.52/0.52 % (2797495)------------------------------
% 1.52/0.52 % (2797495)------------------------------
% 1.52/0.52 % (2797474)------------------------------
% 1.52/0.52 % (2797474)------------------------------
% 1.52/0.52 % (2797500)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2412750151:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.52/0.52 % (2797500)Instruction limit reached!
% 1.52/0.52 % (2797500)------------------------------
% 1.52/0.52 % (2797500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.54 % (2797500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.54 % (2797500)CaDiCaL version: 2.1.3
% 1.52/0.54 % (2797500)Termination reason: Instruction limit
% 1.52/0.54 % (2797500)Termination phase: Saturation
% 1.52/0.54 % (2797500)Time elapsed: 0.003 s
% 1.52/0.54 % (2797500)Peak memory usage: 11 MB
% 1.52/0.54 % (2797500)Instructions burned: 6 (million)
% 1.52/0.54 % (2797505)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=755769790:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.52/0.54 % (2797507)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=484615971:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.52/0.54 % (2797513)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=3843088850:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 1.52/0.54 % (2797514)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=986361586:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 1.52/0.54 % (2797507)Instruction limit reached!
% 1.52/0.54 % (2797507)------------------------------
% 1.52/0.54 % (2797507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.54 % (2797507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.54 % (2797505)Instruction limit reached!
% 1.52/0.54 % (2797505)------------------------------
% 1.52/0.54 % (2797505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.54 % (2797507)CaDiCaL version: 2.1.3
% 1.52/0.54 % (2797507)Termination reason: Instruction limit
% 1.52/0.54 % (2797507)Termination phase: Saturation
% 1.52/0.54 % (2797507)Time elapsed: 0.010 s
% 1.52/0.54 % (2797507)Peak memory usage: 12 MB
% 1.52/0.54 % (2797505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.54 % (2797507)Instructions burned: 19 (million)
% 1.52/0.54 % (2797505)CaDiCaL version: 2.1.3
% 1.52/0.54 % (2797505)Termination reason: Instruction limit
% 1.52/0.54 % (2797505)Termination phase: Saturation
% 1.52/0.54 % (2797505)Time elapsed: 0.011 s
% 1.52/0.54 % (2797505)Peak memory usage: 12 MB
% 1.52/0.54 % (2797505)Instructions burned: 23 (million)
% 1.52/0.54 % (2797518)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=1269869689:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2998 on theBenchmark for (2998ds/45Mi)
% 1.52/0.54 % (2797477)Instruction limit reached!
% 1.52/0.54 % (2797477)------------------------------
% 1.52/0.54 % (2797477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.54 % (2797477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.54 % (2797477)CaDiCaL version: 2.1.3
% 1.52/0.54 % (2797477)Termination reason: Instruction limit
% 1.52/0.54 % (2797477)Termination phase: Saturation
% 1.52/0.54 % (2797477)Time elapsed: 0.059 s
% 1.52/0.54 % (2797477)Peak memory usage: 13 MB
% 1.52/0.54 % (2797477)Instructions burned: 144 (million)
% 1.52/0.54 % (2797530)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=678097340:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 1.52/0.54 % (2797531)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=780027395: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)
% 1.52/0.54 % (2797514)Refutation not found, incomplete strategy
% 1.52/0.54 % (2797514)------------------------------
% 1.52/0.54 % (2797514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.54 % (2797514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.54 % (2797514)CaDiCaL version: 2.1.3
% 1.52/0.54 % (2797514)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.54 % (2797514)Time elapsed: 0.028 s
% 1.52/0.54 % (2797514)Peak memory usage: 13 MB
% 1.52/0.54 % (2797514)Instructions burned: 56 (million)
% 1.52/0.54 % (2797514)------------------------------
% 2.19/0.57 % (2797514)------------------------------
% 2.19/0.57 % (2797531)Instruction limit reached!
% 2.19/0.57 % (2797531)------------------------------
% 2.19/0.57 % (2797531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.57 % (2797531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.57 % (2797531)CaDiCaL version: 2.1.3
% 2.19/0.57 % (2797531)Termination reason: Instruction limit
% 2.19/0.57 % (2797531)Termination phase: Saturation
% 2.19/0.57 % (2797531)Time elapsed: 0.009 s
% 2.19/0.57 % (2797531)Peak memory usage: 12 MB
% 2.19/0.57 % (2797531)Instructions burned: 22 (million)
% 2.19/0.57 % (2797518)Instruction limit reached!
% 2.19/0.57 % (2797518)------------------------------
% 2.19/0.57 % (2797518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.57 % (2797518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.57 % (2797518)CaDiCaL version: 2.1.3
% 2.19/0.57 % (2797518)Termination reason: Instruction limit
% 2.19/0.57 % (2797518)Termination phase: Saturation
% 2.19/0.57 % (2797518)Time elapsed: 0.023 s
% 2.19/0.57 % (2797518)Peak memory usage: 14 MB
% 2.19/0.57 % (2797518)Instructions burned: 45 (million)
% 2.19/0.57 % (2797542)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.19/0.57 % (2797542)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3842515886:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.19/0.57 % (2797530)Refutation not found, incomplete strategy
% 2.19/0.57 % (2797530)------------------------------
% 2.19/0.57 % (2797530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.57 % (2797530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.57 % (2797530)CaDiCaL version: 2.1.3
% 2.19/0.57 % (2797530)Termination reason: Refutation not found, incomplete strategy
% 2.19/0.57 % (2797530)Time elapsed: 0.021 s
% 2.19/0.57 % (2797530)Peak memory usage: 13 MB
% 2.19/0.57 % (2797530)Instructions burned: 43 (million)
% 2.19/0.57 % (2797530)------------------------------
% 2.19/0.57 % (2797530)------------------------------
% 2.19/0.57 % (2797547)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3423271098:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.19/0.57 % (2797548)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=1968830866:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.19/0.57 % (2797549)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=4111059844:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.19/0.57 % (2797493)Instruction limit reached!
% 2.19/0.57 % (2797493)------------------------------
% 2.19/0.57 % (2797493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.57 % (2797493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.57 % (2797493)CaDiCaL version: 2.1.3
% 2.19/0.57 % (2797493)Termination reason: Instruction limit
% 2.19/0.57 % (2797493)Termination phase: Saturation
% 2.19/0.57 % (2797493)Time elapsed: 0.081 s
% 2.19/0.57 % (2797493)Peak memory usage: 15 MB
% 2.19/0.57 % (2797493)Instructions burned: 182 (million)
% 2.19/0.57 % (2797547)Instruction limit reached!
% 2.19/0.57 % (2797547)------------------------------
% 2.19/0.57 % (2797547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.57 % (2797547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.57 % (2797547)CaDiCaL version: 2.1.3
% 2.19/0.57 % (2797547)Termination reason: Instruction limit
% 2.19/0.57 % (2797547)Termination phase: Saturation
% 2.19/0.57 % (2797547)Time elapsed: 0.006 s
% 2.19/0.57 % (2797547)Peak memory usage: 12 MB
% 2.19/0.57 % (2797547)Instructions burned: 14 (million)
% 2.19/0.57 % (2797553)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3346472043:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.19/0.57 % (2797549)Refutation not found, incomplete strategy
% 2.19/0.57 % (2797549)------------------------------
% 2.19/0.57 % (2797549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.57 % (2797549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.57 % (2797549)CaDiCaL version: 2.1.3
% 2.19/0.57 % (2797549)Termination reason: Refutation not found, incomplete strategy
% 2.19/0.57 % (2797549)Time elapsed: 0.019 s
% 2.19/0.57 % (2797549)Peak memory usage: 13 MB
% 2.19/0.57 % (2797549)Instructions burned: 43 (million)
% 2.19/0.57 % (2797549)------------------------------
% 2.19/0.57 % (2797549)------------------------------
% 2.19/0.57 % (2797513)Instruction limit reached!
% 2.19/0.57 % (2797513)------------------------------
% 2.19/0.57 % (2797513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.57 % (2797513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.57 % (2797513)CaDiCaL version: 2.1.3
% 2.19/0.57 % (2797513)Termination reason: Instruction limit
% 2.19/0.57 % (2797513)Termination phase: Saturation
% 2.19/0.57 % (2797513)Time elapsed: 0.080 s
% 2.19/0.57 % (2797513)Peak memory usage: 18 MB
% 2.19/0.57 % (2797513)Instructions burned: 318 (million)
% 2.19/0.57 % (2797548)Refutation not found, incomplete strategy
% 2.19/0.57 % (2797548)------------------------------
% 2.19/0.57 % (2797548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.57 % (2797548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.57 % (2797548)CaDiCaL version: 2.1.3
% 2.19/0.57 % (2797548)Termination reason: Refutation not found, incomplete strategy
% 2.19/0.57 % (2797548)Time elapsed: 0.021 s
% 2.19/0.57 % (2797548)Peak memory usage: 14 MB
% 2.19/0.57 % (2797548)Instructions burned: 43 (million)
% 2.19/0.57 % (2797548)------------------------------
% 2.19/0.57 % (2797548)------------------------------
% 2.19/0.57 % (2797561)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3390406115:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.19/0.57 % (2797563)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2157118074:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 2.19/0.57 % (2797553)Instruction limit reached!
% 2.19/0.57 % (2797553)------------------------------
% 2.19/0.57 % (2797553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.57 % (2797553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.57 % (2797553)CaDiCaL version: 2.1.3
% 2.19/0.57 % (2797553)Termination reason: Instruction limit
% 2.19/0.57 % (2797553)Termination phase: Saturation
% 2.19/0.57 % (2797553)Time elapsed: 0.015 s
% 2.19/0.57 % (2797553)Peak memory usage: 12 MB
% 2.19/0.57 % (2797553)Instructions burned: 32 (million)
% 2.19/0.57 % (2797571)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3940717706:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/67Mi)
% 2.19/0.57 % (2797561)Refutation not found, incomplete strategy
% 2.19/0.57 % (2797561)------------------------------
% 2.19/0.57 % (2797561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.57 % (2797561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.57 % (2797561)CaDiCaL version: 2.1.3
% 2.19/0.57 % (2797561)Termination reason: Refutation not found, incomplete strategy
% 2.19/0.57 % (2797561)Time elapsed: 0.008 s
% 2.19/0.57 % (2797561)Peak memory usage: 12 MB
% 2.19/0.57 % (2797561)Instructions burned: 16 (million)
% 2.19/0.57 % (2797561)------------------------------
% 2.19/0.57 % (2797561)------------------------------
% 2.19/0.57 % (2797572)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.19/0.57 % (2797572)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=873121543:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2997 on theBenchmark for (2997ds/180Mi)
% 2.19/0.57 % (2797573)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=739209717:st=2:i=246:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/246Mi)
% 2.19/0.57 % (2797563)Instruction limit reached!
% 2.19/0.57 % (2797563)------------------------------
% 2.19/0.57 % (2797563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.57 % (2797563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.57 % (2797563)CaDiCaL version: 2.1.3
% 2.19/0.57 % (2797563)Termination reason: Instruction limit
% 2.19/0.57 % (2797563)Termination phase: Saturation
% 2.19/0.57 % (2797563)Time elapsed: 0.016 s
% 2.19/0.57 % (2797563)Peak memory usage: 12 MB
% 2.19/0.57 % (2797563)Instructions burned: 35 (million)
% 2.19/0.57 % (2797542) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2797378-2797542"...
% 2.19/0.57 % (2797578)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=245817239:cond=on:i=96:bd=all:rtra=on_2997 on theBenchmark for (2997ds/96Mi)
% 2.19/0.57 % (2797571)Instruction limit reached!
% 2.19/0.57 % (2797571)------------------------------
% 2.19/0.57 % (2797571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.57 % (2797571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.57 % (2797571)CaDiCaL version: 2.1.3
% 2.19/0.57 % (2797571)Termination reason: Instruction limit
% 2.19/0.57 % (2797571)Termination phase: Saturation
% 2.19/0.57 % (2797571)Time elapsed: 0.017 s
% 2.19/0.57 % (2797571)Peak memory usage: 14 MB
% 2.19/0.57 % (2797571)Instructions burned: 67 (million)
% 2.19/0.57 % (2797583)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3569630606:i=427:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/427Mi)
% 2.19/0.57 % (2797578)Refutation not found, incomplete strategy
% 2.19/0.57 % (2797578)------------------------------
% 2.19/0.57 % (2797578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.57 % (2797578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.57 % (2797578)CaDiCaL version: 2.1.3
% 2.19/0.57 % (2797578)Termination reason: Refutation not found, incomplete strategy
% 2.19/0.57 % (2797578)Time elapsed: 0.007 s
% 2.19/0.57 % (2797578)Peak memory usage: 12 MB
% 2.19/0.57 % (2797578)Instructions burned: 14 (million)
% 2.19/0.57 % (2797578)------------------------------
% 2.19/0.57 % (2797578)------------------------------
% 2.19/0.57 % (2797588)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3732633807:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/874Mi)
% 2.19/0.57 % (2797592)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1958776029:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 2.19/0.57 % (2797573)Refutation not found, incomplete strategy
% 2.19/0.57 % (2797573)------------------------------
% 2.19/0.57 % (2797573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.57 % (2797573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.57 % (2797573)CaDiCaL version: 2.1.3
% 2.19/0.57 % (2797573)Termination reason: Refutation not found, incomplete strategy
% 2.19/0.57 % (2797573)Time elapsed: 0.021 s
% 2.19/0.57 % (2797573)Peak memory usage: 13 MB
% 2.19/0.57 % (2797573)Instructions burned: 44 (million)
% 2.19/0.57 % (2797573)------------------------------
% 2.19/0.57 % (2797573)------------------------------
% 2.19/0.57 % (2797542)...printing done.
% 2.19/0.57 % (2797542)Refutation found. Thanks to Tanya!
% 2.19/0.57 % SZS status Theorem for theBenchmark
% 2.19/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 2.19/0.57 % (2797542)------------------------------
% 2.19/0.57 % (2797542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.57 % (2797542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.57 % (2797542)CaDiCaL version: 2.1.3
% 2.19/0.57 % (2797542)Termination reason: Refutation
% 2.19/0.57 % (2797542)Time elapsed: 0.080 s
% 2.19/0.57 % (2797542)Peak memory usage: 14 MB
% 2.19/0.57 % (2797542)Instructions burned: 193 (million)
% 2.19/0.57 % (2797378)Success in time 0.324 s
% 2.19/0.57 % Vampire exiting
%------------------------------------------------------------------------------