%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA116^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 07:45:57 AM UTC 2026
% Result : Theorem 1.38s 0.58s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 173 ( 129 equ; 0 cnn)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 2427 ( 121 ~; 94 |; 0 &;2212 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 44 ( 44 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 4 con; 0-4 aty)
% Number of variables : 243 ( 156 ^; 79 !; 8 ?; 243 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
'type/realax/real': $tType ).
thf(type_def_6,type,
'type/nums/num': $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
'const/realax/real_sub': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
thf(func_def_1,type,
'const/realax/real_of_num': 'type/nums/num' > 'type/realax/real' ).
thf(func_def_2,type,
'const/realax/real_mul': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
thf(func_def_3,type,
'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num' ).
thf(func_def_4,type,
'const/nums/BIT1': 'type/nums/num' > 'type/nums/num' ).
thf(func_def_5,type,
'const/nums/_0': 'type/nums/num' ).
thf(func_def_6,type,
'const/iterate/sum':
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > 'type/realax/real' ) ).
thf(func_def_7,type,
'const/iterate/..': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' > $o ).
thf(func_def_8,type,
'const/class/COND':
!>[X0: $tType] : ( $o > X0 > X0 > X0 ) ).
thf(func_def_9,type,
'const/arith/+': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ).
thf(func_def_10,type,
'const/arith/-': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ).
thf(func_def_11,type,
'const/arith/<=': 'type/nums/num' > 'type/nums/num' > $o ).
thf(func_def_13,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_15,type,
sK0: 'type/nums/num' > 'type/realax/real' ).
thf(func_def_16,type,
sK1: 'type/nums/num' ).
thf(func_def_17,type,
sK2: 'type/nums/num' > 'type/realax/real' ).
thf(func_def_18,type,
sK3: 'type/nums/num' ).
thf(func_def_21,type,
sK4: ( 'type/nums/num' > 'type/nums/num' ) > ( 'type/nums/num' > 'type/nums/num' ) > 'type/nums/num' ).
thf(func_def_22,type,
sK5: ( 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ) > ( 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ) > 'type/nums/num' ).
thf(func_def_23,type,
sK6: ( 'type/nums/num' > 'type/nums/num' ) > 'type/nums/num' ).
thf(f1,axiom,
! [X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( 'const/arith/-' @ ( 'const/arith/+' @ X0 @ X1 ) @ X1 )
= X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/arith/ADD_SUB_') ).
thf(f2,axiom,
! [X3: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',X2: 'type/nums/num',X1: 'type/nums/num' > 'type/realax/real'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
@ ^ [X4: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X0 @ X4 ) @ ( 'const/realax/real_sub' @ ( X1 @ ( 'const/arith/+' @ X4 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ X4 ) ) ) )
= ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ X2 @ X3 )
@ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( X0 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_mul' @ ( X0 @ X2 ) @ ( X1 @ X2 ) ) )
@ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
@ ^ [X4: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ ( 'const/arith/+' @ X4 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( 'const/realax/real_sub' @ ( X0 @ ( 'const/arith/+' @ X4 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X0 @ X4 ) ) ) ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_PARTIAL_SUC_') ).
thf(f3,conjecture,
! [X2: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',X3: 'type/nums/num',X1: 'type/nums/num' > 'type/realax/real'] :
( ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ X2 @ X3 )
@ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( X0 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ X3 ) ) @ ( 'const/realax/real_mul' @ ( X0 @ X2 ) @ ( X1 @ ( 'const/arith/-' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
@ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
@ ^ [X4: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ X4 ) @ ( 'const/realax/real_sub' @ ( X0 @ ( 'const/arith/+' @ X4 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X0 @ X4 ) ) ) ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
@ ^ [X4: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X0 @ X4 ) @ ( 'const/realax/real_sub' @ ( X1 @ X4 ) @ ( X1 @ ( 'const/arith/-' @ X4 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_PARTIAL_PRE_') ).
thf(f4,negated_conjecture,
~ ! [X2: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',X3: 'type/nums/num',X1: 'type/nums/num' > 'type/realax/real'] :
( ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ X2 @ X3 )
@ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( X0 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ X3 ) ) @ ( 'const/realax/real_mul' @ ( X0 @ X2 ) @ ( X1 @ ( 'const/arith/-' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
@ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
@ ^ [X4: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ X4 ) @ ( 'const/realax/real_sub' @ ( X0 @ ( 'const/arith/+' @ X4 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X0 @ X4 ) ) ) ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
@ ^ [X4: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X0 @ X4 ) @ ( 'const/realax/real_sub' @ ( X1 @ X4 ) @ ( X1 @ ( 'const/arith/-' @ X4 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
thf(f5,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num' > 'type/realax/real',X2: 'type/nums/num',X3: 'type/nums/num' > 'type/realax/real'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X0 )
@ ^ [X4: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ X4 ) @ ( 'const/realax/real_sub' @ ( X3 @ ( 'const/arith/+' @ X4 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X3 @ X4 ) ) ) )
= ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ X2 @ X0 )
@ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( X1 @ ( 'const/arith/+' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X3 @ ( 'const/arith/+' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_mul' @ ( X1 @ X2 ) @ ( X3 @ X2 ) ) )
@ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X0 )
@ ^ [X5: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X3 @ ( 'const/arith/+' @ X5 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( 'const/realax/real_sub' @ ( X1 @ ( 'const/arith/+' @ X5 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ X5 ) ) ) ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f6,plain,
! [X0: 'type/nums/num',X3: 'type/nums/num' > 'type/realax/real',X2: 'type/nums/num',X1: 'type/nums/num' > 'type/realax/real'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X0 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X3 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X3 @ Y0 ) ) ) )
= ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ X2 @ X0 )
@ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( X1 @ ( 'const/arith/+' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X3 @ ( 'const/arith/+' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_mul' @ ( X1 @ X2 ) @ ( X3 @ X2 ) ) )
@ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X0 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X3 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( 'const/realax/real_sub' @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ Y0 ) ) ) ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f7,plain,
~ ! [X0: 'type/nums/num',X1: 'type/nums/num' > 'type/realax/real',X2: 'type/nums/num',X3: 'type/nums/num' > 'type/realax/real'] :
( ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ X0 @ X2 )
@ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( X1 @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X3 @ X2 ) ) @ ( 'const/realax/real_mul' @ ( X1 @ X0 ) @ ( X3 @ ( 'const/arith/-' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
@ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X2 )
@ ^ [X4: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X3 @ X4 ) @ ( 'const/realax/real_sub' @ ( X1 @ ( 'const/arith/+' @ X4 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ X4 ) ) ) ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X2 )
@ ^ [X5: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ X5 ) @ ( 'const/realax/real_sub' @ ( X3 @ X5 ) @ ( X3 @ ( 'const/arith/-' @ X5 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f8,plain,
~ ! [X1: 'type/nums/num' > 'type/realax/real',X2: 'type/nums/num',X0: 'type/nums/num',X3: 'type/nums/num' > 'type/realax/real'] :
( ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ X0 @ X2 )
@ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( X1 @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X3 @ X2 ) ) @ ( 'const/realax/real_mul' @ ( X1 @ X0 ) @ ( X3 @ ( 'const/arith/-' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
@ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X2 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X3 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ Y0 ) ) ) ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X2 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X3 @ Y0 ) @ ( X3 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
? [X1: 'type/nums/num' > 'type/realax/real',X2: 'type/nums/num',X3: 'type/nums/num' > 'type/realax/real',X0: 'type/nums/num'] :
( ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ X0 @ X2 )
@ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( X1 @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X3 @ X2 ) ) @ ( 'const/realax/real_mul' @ ( X1 @ X0 ) @ ( X3 @ ( 'const/arith/-' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
@ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X2 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X3 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ Y0 ) ) ) ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
!= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X2 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X3 @ Y0 ) @ ( X3 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f8]) ).
thf(f10,plain,
? [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num',X2: 'type/nums/num' > 'type/realax/real',X3: 'type/nums/num'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X3 @ X1 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X2 @ Y0 ) @ ( X2 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ X3 @ X1 )
@ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( X0 @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X2 @ X1 ) ) @ ( 'const/realax/real_mul' @ ( X0 @ X3 ) @ ( X2 @ ( 'const/arith/-' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
@ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X3 @ X1 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X2 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X0 @ Y0 ) ) ) ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
inference(rectify,[],[f9]) ).
thf(f11,plain,
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK1 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ sK3 @ sK1 )
@ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( sK0 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK2 @ sK1 ) ) @ ( 'const/realax/real_mul' @ ( sK0 @ sK3 ) @ ( sK2 @ ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
@ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK1 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK2 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) ) ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f10]) ).
thf(f12,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num' > 'type/realax/real',X2: 'type/nums/num',X3: 'type/nums/num' > 'type/realax/real'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X0 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X3 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ Y0 ) ) ) )
= ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ X2 @ X0 )
@ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( X3 @ ( 'const/arith/+' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ ( 'const/arith/+' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_mul' @ ( X3 @ X2 ) @ ( X1 @ X2 ) ) )
@ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X0 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( 'const/realax/real_sub' @ ( X3 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X3 @ Y0 ) ) ) ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f13,plain,
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK1 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ sK3 @ sK1 )
@ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( sK0 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK2 @ sK1 ) ) @ ( 'const/realax/real_mul' @ ( sK0 @ sK3 ) @ ( sK2 @ ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
@ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK1 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK2 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) ) ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f14,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( 'const/arith/-' @ ( 'const/arith/+' @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf_transformation,[],[f1]) ).
thf(f15,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num' > 'type/realax/real',X0: 'type/nums/num',X1: 'type/nums/num' > 'type/realax/real'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X0 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X3 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ Y0 ) ) ) )
= ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ X2 @ X0 )
@ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( X3 @ ( 'const/arith/+' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ ( 'const/arith/+' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_mul' @ ( X3 @ X2 ) @ ( X1 @ X2 ) ) )
@ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X0 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( 'const/realax/real_sub' @ ( X3 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X3 @ Y0 ) ) ) ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f18,plain,
! [X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num' > 'type/nums/num'] :
( ( ( X0 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK1 )
@ ^ [Y0: 'type/nums/num'] :
( 'const/realax/real_mul'
@ ( ^ [Y1: 'type/nums/num'] : ( sK0 @ ( X0 @ Y1 ) )
@ Y0 )
@ ( 'const/realax/real_sub'
@ ( ^ [Y1: 'type/nums/num'] : ( sK2 @ ( X1 @ Y1 ) )
@ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
@ ( ^ [Y1: 'type/nums/num'] : ( sK2 @ ( X1 @ Y1 ) )
@ Y0 ) ) ) )
!= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK1 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( X1 @ sK3 ) )
| ( ( X0 @ sK3 )
!= sK3 )
| ( sK1
!= ( X1 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK2 @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK0 @ ( X0 @ Y0 ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK2 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f13,f15]) ).
thf(f19,plain,
! [X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num' > 'type/nums/num'] :
( ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK1 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK1 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ ( X0 @ Y0 ) ) @ ( 'const/realax/real_sub' @ ( sK2 @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK2 @ ( X1 @ Y0 ) ) ) ) ) )
| ( ( X0 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK2 @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK0 @ ( X0 @ Y0 ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK2 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) ) ) )
| ( ( X0 @ sK3 )
!= sK3 )
| ( sK1
!= ( X1 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
| ( ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( X1 @ sK3 ) ) ),
inference(beta-eta_normalization,[],[f18]) ).
thf(f20,plain,
! [X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num' > 'type/nums/num'] :
( ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK2 @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK0 @ ( X0 @ Y0 ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK2 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) ) ) )
| ( ( X0 @ sK3 )
!= sK3 )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ ( X0 @ Y0 ) ) @ ( 'const/realax/real_sub' @ ( sK2 @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK2 @ ( X1 @ Y0 ) ) ) ) ) )
| ( ( X0 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( X1 @ sK3 ) )
| ( sK1
!= ( X1 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ),
inference(equality_resolution,[],[f19]) ).
thf(f21,plain,
! [X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num' > 'type/nums/num'] :
( ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK2 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) )
@ ( sK4 @ X1 @ X0 ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK2 @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK0 @ ( X0 @ Y0 ) ) ) )
@ ( sK4 @ X1 @ X0 ) ) )
| ( sK1
!= ( X1 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
| ( ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( X1 @ sK3 ) )
| ( ( X0 @ sK3 )
!= sK3 )
| ( ( X0 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ ( X0 @ Y0 ) ) @ ( 'const/realax/real_sub' @ ( sK2 @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK2 @ ( X1 @ Y0 ) ) ) ) ) ) ),
inference(negative_extensionality,[],[f20]) ).
thf(f22,plain,
! [X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num' > 'type/nums/num'] :
( ( ( 'const/realax/real_mul' @ ( sK2 @ ( sK4 @ X1 @ X0 ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ ( sK4 @ X1 @ X0 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ ( sK4 @ X1 @ X0 ) ) ) )
!= ( 'const/realax/real_mul' @ ( sK2 @ ( X1 @ ( 'const/arith/+' @ ( sK4 @ X1 @ X0 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( X0 @ ( 'const/arith/+' @ ( sK4 @ X1 @ X0 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK0 @ ( X0 @ ( sK4 @ X1 @ X0 ) ) ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ ( X0 @ Y0 ) ) @ ( 'const/realax/real_sub' @ ( sK2 @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK2 @ ( X1 @ Y0 ) ) ) ) ) )
| ( ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( X1 @ sK3 ) )
| ( sK1
!= ( X1 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
| ( ( X0 @ sK3 )
!= sK3 )
| ( ( X0 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ),
inference(beta-eta_normalization,[],[f21]) ).
thf(f26,plain,
! [X2: 'type/nums/num' > 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num' > 'type/nums/num'] :
( ( ( X2 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( X1
@ ( 'const/arith/+'
@ ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) )
@ X2 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X3 )
| ( ( ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X1 @ Y0 ) )
@ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= sK1 )
| ( ( X2 @ sK3 )
!= sK3 )
| ( ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X1 @ Y0 ) )
@ sK3 ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] :
( 'const/realax/real_mul' @ ( sK0 @ ( X2 @ Y0 ) )
@ ( 'const/realax/real_sub'
@ ( sK2
@ ( ^ [Y1: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y2: 'type/nums/num'] : Y2
@ Y1 )
@ ( X1 @ Y1 ) )
@ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
@ ( sK2
@ ( ^ [Y1: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y2: 'type/nums/num'] : Y2
@ Y1 )
@ ( X1 @ Y1 ) )
@ Y0 ) ) ) ) ) )
| ( ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) )
@ X2 )
!= X0 )
| ( ( 'const/realax/real_mul'
@ ( sK2
@ ( sK4
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X1 @ Y0 ) )
@ X2 ) )
@ ( 'const/realax/real_sub'
@ ( sK0
@ ( 'const/arith/+'
@ ( sK4
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X1 @ Y0 ) )
@ X2 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
@ ( sK0
@ ( sK4
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X1 @ Y0 ) )
@ X2 ) ) ) )
!= ( 'const/realax/real_mul' @ ( sK2 @ X0 )
@ ( 'const/realax/real_sub'
@ ( sK0
@ ( X2
@ ( 'const/arith/+'
@ ( sK4
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X1 @ Y0 ) )
@ X2 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
@ ( sK0
@ ( X2
@ ( sK4
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X1 @ Y0 ) )
@ X2 ) ) ) ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X3 ) ),
inference(constrained_superposition,[],[f22,f14]) ).
thf(f30,plain,
! [X2: 'type/nums/num' > 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num' > 'type/nums/num'] :
( ( ( 'const/realax/real_mul' @ ( sK2 @ X0 )
@ ( 'const/realax/real_sub'
@ ( sK0
@ ( X2
@ ( 'const/arith/+'
@ ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) )
@ X2 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
@ ( sK0
@ ( X2
@ ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) )
@ X2 ) ) ) ) )
!= ( 'const/realax/real_mul'
@ ( sK2
@ ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) )
@ X2 ) )
@ ( 'const/realax/real_sub'
@ ( sK0
@ ( 'const/arith/+'
@ ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) )
@ X2 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
@ ( sK0
@ ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) )
@ X2 ) ) ) ) )
| ( sK1
!= ( 'const/arith/-' @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X1 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ ( X2 @ Y0 ) ) @ ( 'const/realax/real_sub' @ ( sK2 @ ( 'const/arith/-' @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) ) ) ) ) ) )
| ( ( X2 @ sK3 )
!= sK3 )
| ( ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) )
@ X2 )
!= X0 )
| ( ( 'const/arith/-' @ sK3 @ ( X1 @ sK3 ) )
!= ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( X2 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X3 )
| ( ( X1
@ ( 'const/arith/+'
@ ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) )
@ X2 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X3 ) ),
inference(beta-eta_normalization,[],[f26]) ).
thf(f41,plain,
! [X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X1 )
| ( ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ sK3 @ ( X0 @ sK3 ) ) )
| ( ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( ^ [Y0: 'type/nums/num'] : Y0
@ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
| ( ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
!= ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X0 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK1 )
| ( ( X0
@ ( 'const/arith/+'
@ ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X1 )
| ( ( ^ [Y0: 'type/nums/num'] :
( 'const/realax/real_mul'
@ ( sK0
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 ) )
@ ( 'const/realax/real_sub' @ ( sK2 @ ( 'const/arith/-' @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] : Y0
@ sK3 )
!= sK3 ) ),
inference(equality_resolution,[],[f30]) ).
thf(f43,plain,
! [X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X1 )
| ( ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ sK3 @ ( X0 @ sK3 ) ) )
| ( ( X0
@ ( 'const/arith/+'
@ ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X1 )
| ( ( ^ [Y0: 'type/nums/num'] :
( 'const/realax/real_mul'
@ ( sK0
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 ) )
@ ( 'const/realax/real_sub' @ ( sK2 @ ( 'const/arith/-' @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( ^ [Y0: 'type/nums/num'] : Y0
@ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X0 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK1 )
| ( ( ^ [Y0: 'type/nums/num'] : Y0
@ sK3 )
!= sK3 ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f44,plain,
! [X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/arith/-' @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X0 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK1 )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK2 @ ( 'const/arith/-' @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) ) ) ) ) ) )
| ( sK3 != sK3 )
| ( ( X0
@ ( 'const/arith/+'
@ ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X1 )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X1 )
| ( ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ sK3 @ ( X0 @ sK3 ) ) ) ),
inference(beta-eta_normalization,[],[f43]) ).
thf(f45,plain,
! [X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK2 @ ( 'const/arith/-' @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) ) ) ) ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X1 )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X0 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK1 )
| ( ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ sK3 @ ( X0 @ sK3 ) ) )
| ( ( X0
@ ( 'const/arith/+'
@ ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X1 ) ),
inference(trivial_inequality_removal,[],[f44]) ).
thf(f48,plain,
! [X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X1 )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK2 @ Y0 ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
@ ( sK6 @ X0 ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK2 @ ( 'const/arith/-' @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) @ ( sK2 @ ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) ) ) ) )
@ ( sK6 @ X0 ) ) )
| ( ( X0
@ ( 'const/arith/+'
@ ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X1 )
| ( ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ sK3 @ ( X0 @ sK3 ) ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X0 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK1 ) ),
inference(negative_extensionality,[],[f45]) ).
thf(f49,plain,
! [X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/realax/real_mul' @ ( sK0 @ ( sK6 @ X0 ) ) @ ( 'const/realax/real_sub' @ ( sK2 @ ( 'const/arith/-' @ ( 'const/arith/+' @ ( sK6 @ X0 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X0 @ ( 'const/arith/+' @ ( sK6 @ X0 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) @ ( sK2 @ ( 'const/arith/-' @ ( sK6 @ X0 ) @ ( X0 @ ( sK6 @ X0 ) ) ) ) ) )
!= ( 'const/realax/real_mul' @ ( sK0 @ ( sK6 @ X0 ) ) @ ( 'const/realax/real_sub' @ ( sK2 @ ( sK6 @ X0 ) ) @ ( sK2 @ ( 'const/arith/-' @ ( sK6 @ X0 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
| ( ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ sK3 @ ( X0 @ sK3 ) ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X0 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK1 )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X1 )
| ( ( X0
@ ( 'const/arith/+'
@ ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X1 ) ),
inference(beta-eta_normalization,[],[f48]) ).
thf(f59,plain,
! [X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ sK3
@ ( ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) )
@ sK3 ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X1 )
| ( 'const/nums/_0'
!= ( X0
@ ( 'const/arith/+'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
| ( ( 'const/realax/real_mul'
@ ( sK0
@ ( sK6
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) ) ) )
@ ( 'const/realax/real_sub'
@ ( sK2
@ ( sK6
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) ) ) )
@ ( sK2
@ ( 'const/arith/-'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) ) )
@ ( ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) )
@ ( sK6
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) ) ) ) ) ) ) )
!= ( 'const/realax/real_mul'
@ ( sK0
@ ( sK6
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) ) ) )
@ ( 'const/realax/real_sub'
@ ( sK2
@ ( sK6
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) ) ) )
@ ( sK2
@ ( 'const/arith/-'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) ) )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
| ( sK1
!= ( 'const/arith/-' @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
@ ( ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) )
@ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) )
@ ( 'const/arith/+'
@ ( sK4
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-' @ Y0
@ ( ^ [Y1: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y2: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y2 ) )
@ Y1 ) )
@ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X1 ) ),
inference(constrained_superposition,[],[f49,f14]) ).
thf(f60,plain,
! [X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/realax/real_mul'
@ ( sK0
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) ) )
@ ( 'const/realax/real_sub'
@ ( sK2
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) ) )
@ ( sK2
@ ( 'const/arith/-'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) )
@ ( 'const/nums/NUMERAL'
@ ( 'const/nums/BIT1'
@ ( X0
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) ) ) ) ) ) ) ) )
!= ( 'const/realax/real_mul'
@ ( sK0
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) ) )
@ ( 'const/realax/real_sub'
@ ( sK2
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) ) )
@ ( sK2
@ ( 'const/arith/-'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= sK1 )
| ( ( 'const/nums/NUMERAL'
@ ( 'const/nums/BIT1'
@ ( X0
@ ( 'const/arith/+'
@ ( sK4
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
!= X1 )
| ( 'const/nums/_0'
!= ( X0
@ ( 'const/arith/+'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X1 )
| ( ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ sK3 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f59]) ).
thf(f74,plain,
! [X0: 'type/nums/num'] :
( ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 )
| ( ( 'const/arith/-' @ sK3
@ ( 'const/nums/NUMERAL'
@ ( 'const/nums/BIT1'
@ ( ^ [Y0: 'type/nums/num'] : 'const/nums/_0'
@ sK3 ) ) ) )
!= ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/nums/NUMERAL'
@ ( 'const/nums/BIT1'
@ ( ^ [Y0: 'type/nums/num'] : 'const/nums/_0'
@ ( 'const/arith/+'
@ ( sK4
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-' @ Y0
@ ( 'const/nums/NUMERAL'
@ ( 'const/nums/BIT1'
@ ( ^ [Y1: 'type/nums/num'] : 'const/nums/_0'
@ Y0 ) ) ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
!= X0 )
| ( sK1
!= ( 'const/arith/-' @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
@ ( 'const/nums/NUMERAL'
@ ( 'const/nums/BIT1'
@ ( ^ [Y0: 'type/nums/num'] : 'const/nums/_0'
@ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( 'const/nums/_0'
!= ( ^ [Y0: 'type/nums/num'] : 'const/nums/_0'
@ ( 'const/arith/+'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( 'const/nums/BIT1'
@ ( ^ [Y1: 'type/nums/num'] : 'const/nums/_0'
@ Y0 ) ) ) )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ),
inference(equality_resolution,[],[f60]) ).
thf(f76,plain,
! [X0: 'type/nums/num'] :
( ( sK1
!= ( 'const/arith/-' @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( 'const/nums/_0' != 'const/nums/_0' )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 ) ),
inference(beta-eta_normalization,[],[f74]) ).
thf(f77,plain,
! [X0: 'type/nums/num'] :
( ( 'const/nums/_0' != 'const/nums/_0' )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 )
| ( sK1
!= ( 'const/arith/-' @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ),
inference(duplicate_literal_removal,[],[f76]) ).
thf(f78,plain,
! [X0: 'type/nums/num'] :
( ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 )
| ( sK1
!= ( 'const/arith/-' @ ( 'const/arith/+' @ sK1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ),
inference(trivial_inequality_removal,[],[f77]) ).
thf(f79,plain,
! [X0: 'type/nums/num'] :
( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 ),
inference(forward_subsumption_resolution,[],[f78,f14]) ).
thf(f80,plain,
$false,
inference(equality_resolution,[],[f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA116^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n002.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 17:44:52 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.09/0.26 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
% 0.63/0.37 % (1628127)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.37 % (1628136)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1173216278:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.37 % (1628136)Refutation not found, incomplete strategy
% 0.63/0.37 % (1628136)------------------------------
% 0.63/0.37 % (1628136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.37 % (1628136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.37 % (1628136)CaDiCaL version: 2.1.3
% 0.63/0.37 % (1628136)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.37 % (1628136)Time elapsed: 0.002 s
% 0.63/0.37 % (1628136)Peak memory usage: 12 MB
% 0.63/0.37 % (1628136)Instructions burned: 5 (million)
% 0.63/0.37 % (1628136)------------------------------
% 0.63/0.37 % (1628136)------------------------------
% 0.63/0.37 % (1628138)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.37 % (1628138)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
% 0.63/0.37 % (1628133)lrs+10_16_si=on:nwc=1.5:random_seed=3884191078:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.37 % (1628132)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1544347729:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.37 % (1628134)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1443883063:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.37 % (1628135)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=2864896473: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)
% 0.63/0.37 % (1628137)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1191730950:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.37 % (1628138)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=938675244:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.37 % (1628134)Refutation not found, incomplete strategy
% 0.63/0.37 % (1628134)------------------------------
% 0.63/0.37 % (1628134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.37 % (1628134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.37 % (1628134)CaDiCaL version: 2.1.3
% 0.63/0.37 % (1628134)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.37 % (1628134)Time elapsed: 0.003 s
% 0.63/0.37 % (1628132)Refutation not found, incomplete strategy
% 0.63/0.37 % (1628132)------------------------------
% 0.63/0.37 % (1628132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.37 % (1628132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.37 % (1628132)CaDiCaL version: 2.1.3
% 0.63/0.37 % (1628132)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.37 % (1628132)Time elapsed: 0.003 s
% 0.63/0.37 % (1628134)Peak memory usage: 12 MB
% 0.63/0.37 % (1628132)Peak memory usage: 12 MB
% 0.63/0.37 % (1628134)Instructions burned: 5 (million)
% 0.63/0.37 % (1628132)Instructions burned: 5 (million)
% 0.63/0.37 % (1628134)------------------------------
% 0.63/0.37 % (1628134)------------------------------
% 0.63/0.37 % (1628132)------------------------------
% 0.63/0.37 % (1628132)------------------------------
% 0.63/0.37 % (1628135)Refutation not found, incomplete strategy
% 0.63/0.37 % (1628135)------------------------------
% 0.63/0.37 % (1628135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.37 % (1628135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.37 % (1628135)CaDiCaL version: 2.1.3
% 0.63/0.37 % (1628135)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.37 % (1628135)Time elapsed: 0.006 s
% 0.63/0.37 % (1628135)Peak memory usage: 12 MB
% 0.63/0.37 % (1628135)Instructions burned: 10 (million)
% 0.63/0.37 % (1628135)------------------------------
% 0.63/0.37 % (1628135)------------------------------
% 0.63/0.39 % (1628140)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=655189045:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.39 % (1628133)Instruction limit reached!
% 0.63/0.39 % (1628133)------------------------------
% 0.63/0.39 % (1628133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1628133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1628133)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1628133)Termination reason: Instruction limit
% 0.63/0.39 % (1628133)Termination phase: Saturation
% 0.63/0.39 % (1628133)Time elapsed: 0.010 s
% 0.63/0.39 % (1628133)Peak memory usage: 12 MB
% 0.63/0.39 % (1628133)Instructions burned: 20 (million)
% 0.63/0.39 % (1628140)Instruction limit reached!
% 0.63/0.39 % (1628140)------------------------------
% 0.63/0.39 % (1628140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1628140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1628140)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1628140)Termination reason: Instruction limit
% 0.63/0.39 % (1628140)Termination phase: Saturation
% 0.63/0.39 % (1628140)Time elapsed: 0.003 s
% 0.63/0.39 % (1628140)Peak memory usage: 12 MB
% 0.63/0.39 % (1628140)Instructions burned: 11 (million)
% 0.63/0.39 % (1628148)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.39 % (1628152)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=368488241:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.39 % (1628147)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2726732960:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.39 % (1628151)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
% 0.63/0.39 % (1628151)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.39 % (1628150)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=611123010:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.39 % (1628152)Refutation not found, incomplete strategy
% 0.63/0.39 % (1628152)------------------------------
% 0.63/0.39 % (1628152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1628152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1628152)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1628152)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.39 % (1628152)Time elapsed: 0.004 s
% 0.63/0.39 % (1628152)Peak memory usage: 12 MB
% 0.63/0.39 % (1628152)Instructions burned: 15 (million)
% 0.63/0.39 % (1628147)Instruction limit reached!
% 0.63/0.39 % (1628147)------------------------------
% 0.63/0.39 % (1628147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1628147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (1628147)CaDiCaL version: 2.1.3
% 0.63/0.39 % (1628147)Termination reason: Instruction limit
% 0.63/0.39 % (1628147)Termination phase: Saturation
% 0.63/0.39 % (1628147)Time elapsed: 0.003 s
% 0.63/0.39 % (1628147)Peak memory usage: 12 MB
% 0.63/0.39 % (1628147)Instructions burned: 5 (million)
% 0.63/0.39 % (1628152)------------------------------
% 0.63/0.39 % (1628152)------------------------------
% 0.63/0.39 % (1628148)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3651944814:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.39 % (1628151)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3126799889:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.39 % (1628150)Instruction limit reached!
% 0.63/0.39 % (1628150)------------------------------
% 0.63/0.39 % (1628150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (1628150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.40 % (1628150)CaDiCaL version: 2.1.3
% 0.63/0.40 % (1628150)Termination reason: Instruction limit
% 0.63/0.40 % (1628150)Termination phase: Saturation
% 0.63/0.40 % (1628150)Time elapsed: 0.007 s
% 0.63/0.40 % (1628150)Peak memory usage: 12 MB
% 0.63/0.40 % (1628150)Instructions burned: 12 (million)
% 0.63/0.40 % (1628148)Instruction limit reached!
% 0.63/0.40 % (1628148)------------------------------
% 0.63/0.40 % (1628148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.40 % (1628148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.40 % (1628148)CaDiCaL version: 2.1.3
% 0.63/0.40 % (1628148)Termination reason: Instruction limit
% 0.63/0.40 % (1628148)Termination phase: Saturation
% 0.63/0.40 % (1628148)Time elapsed: 0.008 s
% 0.63/0.40 % (1628148)Peak memory usage: 12 MB
% 0.63/0.40 % (1628148)Instructions burned: 8 (million)
% 0.63/0.40 % (1628137)Instruction limit reached!
% 0.63/0.40 % (1628137)------------------------------
% 0.63/0.40 % (1628137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.40 % (1628137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.40 % (1628137)CaDiCaL version: 2.1.3
% 0.63/0.40 % (1628137)Termination reason: Instruction limit
% 0.63/0.40 % (1628137)Termination phase: Saturation
% 0.63/0.40 % (1628137)Time elapsed: 0.038 s
% 0.63/0.40 % (1628137)Peak memory usage: 13 MB
% 0.63/0.40 % (1628137)Instructions burned: 76 (million)
% 0.63/0.40 % (1628157)lrs+10_1_si=on:cs=on:random_seed=780330326:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.63/0.40 % (1628157)Instruction limit reached!
% 0.63/0.40 % (1628157)------------------------------
% 0.63/0.40 % (1628157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.40 % (1628157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.40 % (1628157)CaDiCaL version: 2.1.3
% 0.63/0.40 % (1628157)Termination reason: Instruction limit
% 0.63/0.40 % (1628157)Termination phase: Saturation
% 0.63/0.40 % (1628157)Time elapsed: 0.004 s
% 0.63/0.40 % (1628157)Peak memory usage: 12 MB
% 0.63/0.40 % (1628157)Instructions burned: 17 (million)
% 0.63/0.40 % (1628151)Instruction limit reached!
% 0.63/0.40 % (1628151)------------------------------
% 0.63/0.40 % (1628151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.40 % (1628151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.40 % (1628151)CaDiCaL version: 2.1.3
% 0.63/0.40 % (1628151)Termination reason: Instruction limit
% 0.63/0.40 % (1628151)Termination phase: Saturation
% 0.63/0.40 % (1628151)Time elapsed: 0.015 s
% 0.63/0.40 % (1628151)Peak memory usage: 12 MB
% 0.63/0.40 % (1628151)Instructions burned: 29 (million)
% 0.63/0.40 % (1628158)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.63/0.40 % (1628164)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3468429199:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.63/0.40 % (1628164)Refutation not found, incomplete strategy
% 0.63/0.40 % (1628164)------------------------------
% 0.63/0.40 % (1628164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.40 % (1628164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.40 % (1628164)CaDiCaL version: 2.1.3
% 0.63/0.40 % (1628164)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.40 % (1628164)Time elapsed: 0.002 s
% 0.63/0.40 % (1628164)Peak memory usage: 12 MB
% 0.63/0.40 % (1628164)Instructions burned: 5 (million)
% 0.63/0.40 % (1628158)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=897433627:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.40 % (1628164)------------------------------
% 0.63/0.40 % (1628164)------------------------------
% 0.63/0.40 % (1628161)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3249778313:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.63/0.40 % (1628162)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=94562273:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.63/0.40 % (1628158)Instruction limit reached!
% 0.63/0.40 % (1628158)------------------------------
% 0.63/0.40 % (1628158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (1628158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (1628158)CaDiCaL version: 2.1.3
% 0.63/0.43 % (1628158)Termination reason: Instruction limit
% 0.63/0.43 % (1628158)Termination phase: Property scanning
% 0.63/0.43 % (1628158)Time elapsed: 0.002 s
% 0.63/0.43 % (1628158)Peak memory usage: 10 MB
% 0.63/0.43 % (1628158)Instructions burned: 2 (million)
% 0.63/0.43 % (1628161)Refutation not found, incomplete strategy
% 0.63/0.43 % (1628161)------------------------------
% 0.63/0.43 % (1628161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (1628161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (1628161)CaDiCaL version: 2.1.3
% 0.63/0.43 % (1628161)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.43 % (1628161)Time elapsed: 0.003 s
% 0.63/0.43 % (1628161)Peak memory usage: 12 MB
% 0.63/0.43 % (1628161)Instructions burned: 5 (million)
% 0.63/0.43 % (1628161)------------------------------
% 0.63/0.43 % (1628161)------------------------------
% 0.63/0.43 % (1628162)Refutation not found, incomplete strategy
% 0.63/0.43 % (1628162)------------------------------
% 0.63/0.43 % (1628162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (1628162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (1628162)CaDiCaL version: 2.1.3
% 0.63/0.43 % (1628162)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.43 % (1628162)Time elapsed: 0.004 s
% 0.63/0.43 % (1628162)Peak memory usage: 12 MB
% 0.63/0.43 % (1628162)Instructions burned: 7 (million)
% 0.63/0.43 % (1628162)------------------------------
% 0.63/0.43 % (1628162)------------------------------
% 0.63/0.43 % (1628165)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=288811824:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.63/0.43 % (1628163)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=575747724:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.63/0.43 % (1628168)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=656348002:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.63/0.43 % (1628163)Refutation not found, incomplete strategy
% 0.63/0.43 % (1628163)------------------------------
% 0.63/0.43 % (1628163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (1628163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (1628163)CaDiCaL version: 2.1.3
% 0.63/0.43 % (1628163)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.43 % (1628163)Time elapsed: 0.003 s
% 0.63/0.43 % (1628163)Peak memory usage: 12 MB
% 0.63/0.43 % (1628163)Instructions burned: 6 (million)
% 0.63/0.43 % (1628165)Refutation not found, incomplete strategy
% 0.63/0.43 % (1628165)------------------------------
% 0.63/0.43 % (1628165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (1628165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (1628165)CaDiCaL version: 2.1.3
% 0.63/0.43 % (1628165)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.43 % (1628165)Time elapsed: 0.006 s
% 0.63/0.43 % (1628165)Peak memory usage: 12 MB
% 0.63/0.43 % (1628165)Instructions burned: 10 (million)
% 0.63/0.43 % (1628163)------------------------------
% 0.63/0.43 % (1628163)------------------------------
% 0.63/0.43 % (1628165)------------------------------
% 0.63/0.43 % (1628165)------------------------------
% 0.63/0.43 % (1628168)Instruction limit reached!
% 0.63/0.43 % (1628168)------------------------------
% 0.63/0.43 % (1628168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (1628168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (1628168)CaDiCaL version: 2.1.3
% 0.63/0.43 % (1628168)Termination reason: Instruction limit
% 0.63/0.43 % (1628168)Termination phase: Saturation
% 0.63/0.43 % (1628168)Time elapsed: 0.004 s
% 0.63/0.43 % (1628168)Peak memory usage: 12 MB
% 0.63/0.43 % (1628168)Instructions burned: 16 (million)
% 0.63/0.43 % (1628171)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2365470502:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.63/0.43 % (1628138)Instruction limit reached!
% 0.63/0.43 % (1628138)------------------------------
% 0.63/0.45 % (1628138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (1628138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (1628138)CaDiCaL version: 2.1.3
% 0.63/0.45 % (1628138)Termination reason: Instruction limit
% 0.63/0.45 % (1628138)Termination phase: Saturation
% 0.63/0.45 % (1628138)Time elapsed: 0.077 s
% 0.63/0.45 % (1628138)Peak memory usage: 13 MB
% 0.63/0.45 % (1628138)Instructions burned: 157 (million)
% 0.63/0.45 % (1628171)Instruction limit reached!
% 0.63/0.45 % (1628171)------------------------------
% 0.63/0.45 % (1628171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (1628171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (1628171)CaDiCaL version: 2.1.3
% 0.63/0.45 % (1628171)Termination reason: Instruction limit
% 0.63/0.45 % (1628171)Termination phase: Preprocessing 3
% 0.63/0.45 % (1628171)Time elapsed: 0.001 s
% 0.63/0.45 % (1628171)Peak memory usage: 10 MB
% 0.63/0.45 % (1628171)Instructions burned: 2 (million)
% 0.63/0.45 % (1628178)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
% 0.63/0.45 % (1628178)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.63/0.45 % (1628172)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3153141951:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.63/0.45 % (1628178)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=2385101308:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.63/0.45 % (1628174)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1985491947:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.63/0.45 % (1628179)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.63/0.45 % (1628178)Instruction limit reached!
% 0.63/0.45 % (1628178)------------------------------
% 0.63/0.45 % (1628178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (1628178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (1628178)CaDiCaL version: 2.1.3
% 0.63/0.45 % (1628178)Termination reason: Instruction limit
% 0.63/0.45 % (1628178)Time elapsed: 0.004 s
% 0.63/0.45 % (1628178)Peak memory usage: 12 MB
% 0.63/0.45 % (1628178)Instructions burned: 15 (million)
% 0.63/0.45 % (1628172)Refutation not found, incomplete strategy
% 0.63/0.45 % (1628172)------------------------------
% 0.63/0.45 % (1628172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (1628172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (1628172)CaDiCaL version: 2.1.3
% 0.63/0.45 % (1628172)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.45 % (1628172)Time elapsed: 0.008 s
% 0.63/0.45 % (1628172)Peak memory usage: 12 MB
% 0.63/0.45 % (1628172)Instructions burned: 14 (million)
% 0.63/0.45 % (1628177)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2378154763:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.63/0.45 % (1628179)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=3746457544:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.63/0.45 % (1628172)------------------------------
% 0.63/0.45 % (1628172)------------------------------
% 0.63/0.45 % (1628174)Instruction limit reached!
% 0.63/0.45 % (1628174)------------------------------
% 0.63/0.45 % (1628174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (1628174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (1628174)CaDiCaL version: 2.1.3
% 0.63/0.45 % (1628174)Termination reason: Instruction limit
% 0.63/0.45 % (1628174)Termination phase: Saturation
% 0.63/0.45 % (1628174)Time elapsed: 0.012 s
% 0.63/0.45 % (1628174)Peak memory usage: 12 MB
% 0.63/0.45 % (1628174)Instructions burned: 24 (million)
% 0.63/0.45 % (1628179)Instruction limit reached!
% 1.38/0.49 % (1628179)------------------------------
% 1.38/0.49 % (1628179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.49 % (1628179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.49 % (1628179)CaDiCaL version: 2.1.3
% 1.38/0.49 % (1628179)Termination reason: Instruction limit
% 1.38/0.49 % (1628179)Termination phase: Saturation
% 1.38/0.49 % (1628179)Time elapsed: 0.005 s
% 1.38/0.49 % (1628179)Peak memory usage: 12 MB
% 1.38/0.49 % (1628179)Instructions burned: 8 (million)
% 1.38/0.49 % (1628186)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4222800727:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.38/0.49 % (1628181)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=1060075572:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.38/0.49 % (1628182)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3243646341:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.38/0.49 % (1628182)Instruction limit reached!
% 1.38/0.49 % (1628182)------------------------------
% 1.38/0.49 % (1628182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.49 % (1628182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.49 % (1628182)CaDiCaL version: 2.1.3
% 1.38/0.49 % (1628182)Termination reason: Instruction limit
% 1.38/0.49 % (1628182)Termination phase: Saturation
% 1.38/0.49 % (1628182)Time elapsed: 0.004 s
% 1.38/0.49 % (1628182)Peak memory usage: 12 MB
% 1.38/0.49 % (1628182)Instructions burned: 7 (million)
% 1.38/0.49 % (1628186)Instruction limit reached!
% 1.38/0.49 % (1628186)------------------------------
% 1.38/0.49 % (1628186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.49 % (1628186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.49 % (1628186)CaDiCaL version: 2.1.3
% 1.38/0.49 % (1628186)Termination reason: Instruction limit
% 1.38/0.49 % (1628186)Termination phase: Saturation
% 1.38/0.49 % (1628186)Time elapsed: 0.006 s
% 1.38/0.49 % (1628186)Peak memory usage: 12 MB
% 1.38/0.49 % (1628186)Instructions burned: 25 (million)
% 1.38/0.49 % (1628189)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=257458326:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.38/0.49 % (1628181)Instruction limit reached!
% 1.38/0.49 % (1628181)------------------------------
% 1.38/0.49 % (1628181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.49 % (1628181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.49 % (1628181)CaDiCaL version: 2.1.3
% 1.38/0.49 % (1628181)Termination reason: Instruction limit
% 1.38/0.49 % (1628181)Termination phase: Saturation
% 1.38/0.49 % (1628181)Time elapsed: 0.016 s
% 1.38/0.49 % (1628181)Peak memory usage: 12 MB
% 1.38/0.49 % (1628181)Instructions burned: 32 (million)
% 1.38/0.49 % (1628190)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3420580267:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.38/0.49 % (1628196)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3124414016:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.38/0.49 % (1628193)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4008817415:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.38/0.49 % (1628189)Instruction limit reached!
% 1.38/0.49 % (1628189)------------------------------
% 1.38/0.49 % (1628189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.49 % (1628189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.49 % (1628189)CaDiCaL version: 2.1.3
% 1.38/0.49 % (1628189)Termination reason: Instruction limit
% 1.38/0.49 % (1628189)Termination phase: Saturation
% 1.38/0.49 % (1628189)Time elapsed: 0.011 s
% 1.38/0.49 % (1628189)Peak memory usage: 12 MB
% 1.38/0.49 % (1628189)Instructions burned: 20 (million)
% 1.38/0.49 % (1628177)Instruction limit reached!
% 1.38/0.49 % (1628177)------------------------------
% 1.38/0.49 % (1628177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.49 % (1628177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.49 % (1628177)CaDiCaL version: 2.1.3
% 1.38/0.51 % (1628177)Termination reason: Instruction limit
% 1.38/0.51 % (1628177)Termination phase: Saturation
% 1.38/0.51 % (1628177)Time elapsed: 0.030 s
% 1.38/0.51 % (1628177)Peak memory usage: 12 MB
% 1.38/0.51 % (1628177)Instructions burned: 60 (million)
% 1.38/0.51 % (1628190)Refutation not found, incomplete strategy
% 1.38/0.51 % (1628190)------------------------------
% 1.38/0.51 % (1628190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.51 % (1628190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.51 % (1628190)CaDiCaL version: 2.1.3
% 1.38/0.51 % (1628190)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.51 % (1628190)Time elapsed: 0.011 s
% 1.38/0.51 % (1628190)Peak memory usage: 13 MB
% 1.38/0.51 % (1628190)Instructions burned: 19 (million)
% 1.38/0.51 % (1628195)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2625563393:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.38/0.51 % (1628190)------------------------------
% 1.38/0.51 % (1628190)------------------------------
% 1.38/0.51 % (1628196)Instruction limit reached!
% 1.38/0.51 % (1628196)------------------------------
% 1.38/0.51 % (1628196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.51 % (1628196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.51 % (1628196)CaDiCaL version: 2.1.3
% 1.38/0.51 % (1628196)Termination reason: Instruction limit
% 1.38/0.51 % (1628196)Termination phase: Saturation
% 1.38/0.51 % (1628196)Time elapsed: 0.012 s
% 1.38/0.51 % (1628196)Peak memory usage: 13 MB
% 1.38/0.51 % (1628196)Instructions burned: 46 (million)
% 1.38/0.51 % (1628200)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.38/0.51 % (1628200)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2169024059:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.38/0.51 % (1628195)Refutation not found, incomplete strategy
% 1.38/0.51 % (1628195)------------------------------
% 1.38/0.51 % (1628195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.51 % (1628195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.51 % (1628195)CaDiCaL version: 2.1.3
% 1.38/0.51 % (1628195)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.51 % (1628195)Time elapsed: 0.010 s
% 1.38/0.51 % (1628195)Peak memory usage: 12 MB
% 1.38/0.51 % (1628195)Instructions burned: 10 (million)
% 1.38/0.51 % (1628206)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1022969913:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.38/0.51 % (1628195)------------------------------
% 1.38/0.51 % (1628195)------------------------------
% 1.38/0.51 % (1628200)Instruction limit reached!
% 1.38/0.51 % (1628200)------------------------------
% 1.38/0.51 % (1628200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.51 % (1628200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.51 % (1628200)CaDiCaL version: 2.1.3
% 1.38/0.51 % (1628200)Termination reason: Instruction limit
% 1.38/0.51 % (1628200)Termination phase: Saturation
% 1.38/0.51 % (1628200)Time elapsed: 0.005 s
% 1.38/0.51 % (1628200)Peak memory usage: 12 MB
% 1.38/0.51 % (1628200)Instructions burned: 9 (million)
% 1.38/0.51 % (1628202)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2297112035:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.38/0.51 % (1628203)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=3170126085: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)
% 1.38/0.51 % (1628205)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.38/0.51 % (1628206)Instruction limit reached!
% 1.38/0.51 % (1628206)------------------------------
% 1.38/0.51 % (1628206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.51 % (1628206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.51 % (1628206)CaDiCaL version: 2.1.3
% 1.38/0.51 % (1628206)Termination reason: Instruction limit
% 1.38/0.54 % (1628206)Termination phase: Saturation
% 1.38/0.54 % (1628206)Time elapsed: 0.007 s
% 1.38/0.54 % (1628206)Peak memory usage: 12 MB
% 1.38/0.54 % (1628206)Instructions burned: 26 (million)
% 1.38/0.54 % (1628203)Refutation not found, incomplete strategy
% 1.38/0.54 % (1628203)------------------------------
% 1.38/0.54 % (1628203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.54 % (1628203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.54 % (1628203)CaDiCaL version: 2.1.3
% 1.38/0.54 % (1628203)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.54 % (1628203)Time elapsed: 0.003 s
% 1.38/0.54 % (1628203)Peak memory usage: 12 MB
% 1.38/0.54 % (1628203)Instructions burned: 5 (million)
% 1.38/0.54 % (1628205)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3819187590:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.38/0.54 % (1628203)------------------------------
% 1.38/0.54 % (1628203)------------------------------
% 1.38/0.54 % (1628205)Instruction limit reached!
% 1.38/0.54 % (1628205)------------------------------
% 1.38/0.54 % (1628205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.54 % (1628205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.54 % (1628205)CaDiCaL version: 2.1.3
% 1.38/0.54 % (1628205)Termination reason: Instruction limit
% 1.38/0.54 % (1628205)Termination phase: Saturation
% 1.38/0.54 % (1628205)Time elapsed: 0.004 s
% 1.38/0.54 % (1628205)Peak memory usage: 12 MB
% 1.38/0.54 % (1628205)Instructions burned: 8 (million)
% 1.38/0.54 % (1628214)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=3482800197: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)
% 1.38/0.54 % (1628214)Refutation not found, incomplete strategy
% 1.38/0.54 % (1628214)------------------------------
% 1.38/0.54 % (1628214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.54 % (1628214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.54 % (1628214)CaDiCaL version: 2.1.3
% 1.38/0.54 % (1628214)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.54 % (1628214)Time elapsed: 0.005 s
% 1.38/0.54 % (1628214)Peak memory usage: 12 MB
% 1.38/0.54 % (1628214)Instructions burned: 18 (million)
% 1.38/0.54 % (1628214)------------------------------
% 1.38/0.54 % (1628214)------------------------------
% 1.38/0.54 % (1628216)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3260255776:i=480:rtra=on_2998 on theBenchmark for (2998ds/480Mi)
% 1.38/0.54 % (1628210)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=1432054456:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 1.38/0.54 % (1628218)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1303970557: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)
% 1.38/0.54 % (1628216)Refutation not found, incomplete strategy
% 1.38/0.54 % (1628216)------------------------------
% 1.38/0.54 % (1628216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.54 % (1628216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.54 % (1628216)CaDiCaL version: 2.1.3
% 1.38/0.54 % (1628216)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.54 % (1628216)Time elapsed: 0.004 s
% 1.38/0.54 % (1628216)Peak memory usage: 12 MB
% 1.38/0.54 % (1628216)Instructions burned: 7 (million)
% 1.38/0.54 % (1628216)------------------------------
% 1.38/0.54 % (1628216)------------------------------
% 1.38/0.54 % (1628209)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2990422266:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.38/0.54 % (1628218)Instruction limit reached!
% 1.38/0.54 % (1628218)------------------------------
% 1.38/0.54 % (1628218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.54 % (1628218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.54 % (1628218)CaDiCaL version: 2.1.3
% 1.38/0.58 % (1628218)Termination reason: Instruction limit
% 1.38/0.58 % (1628218)Termination phase: Saturation
% 1.38/0.58 % (1628218)Time elapsed: 0.006 s
% 1.38/0.58 % (1628218)Peak memory usage: 12 MB
% 1.38/0.58 % (1628218)Instructions burned: 23 (million)
% 1.38/0.58 % (1628215)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=3716068097: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)
% 1.38/0.58 % (1628193)Instruction limit reached!
% 1.38/0.58 % (1628193)------------------------------
% 1.38/0.58 % (1628193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.58 % (1628193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.58 % (1628193)CaDiCaL version: 2.1.3
% 1.38/0.58 % (1628193)Termination reason: Instruction limit
% 1.38/0.58 % (1628193)Termination phase: Saturation
% 1.38/0.58 % (1628193)Time elapsed: 0.068 s
% 1.38/0.58 % (1628193)Peak memory usage: 13 MB
% 1.38/0.58 % (1628193)Instructions burned: 144 (million)
% 1.38/0.58 % (1628209)Refutation not found, incomplete strategy
% 1.38/0.58 % (1628209)------------------------------
% 1.38/0.58 % (1628209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.58 % (1628209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.58 % (1628209)CaDiCaL version: 2.1.3
% 1.38/0.58 % (1628209)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.58 % (1628209)Time elapsed: 0.009 s
% 1.38/0.58 % (1628209)Peak memory usage: 12 MB
% 1.38/0.58 % (1628209)Instructions burned: 11 (million)
% 1.38/0.58 % (1628209)------------------------------
% 1.38/0.58 % (1628209)------------------------------
% 1.38/0.58 % (1628215)Refutation not found, incomplete strategy
% 1.38/0.58 % (1628215)------------------------------
% 1.38/0.58 % (1628215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.58 % (1628215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.58 % (1628215)CaDiCaL version: 2.1.3
% 1.38/0.58 % (1628215)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.58 % (1628215)Time elapsed: 0.004 s
% 1.38/0.58 % (1628215)Peak memory usage: 12 MB
% 1.38/0.58 % (1628215)Instructions burned: 8 (million)
% 1.38/0.58 % (1628210)Refutation not found, incomplete strategy
% 1.38/0.58 % (1628210)------------------------------
% 1.38/0.58 % (1628210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.58 % (1628210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.58 % (1628210)CaDiCaL version: 2.1.3
% 1.38/0.58 % (1628210)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.58 % (1628210)Time elapsed: 0.015 s
% 1.38/0.58 % (1628210)Peak memory usage: 12 MB
% 1.38/0.58 % (1628210)Instructions burned: 16 (million)
% 1.38/0.58 % (1628215)------------------------------
% 1.38/0.58 % (1628215)------------------------------
% 1.38/0.58 % (1628210)------------------------------
% 1.38/0.58 % (1628210)------------------------------
% 1.38/0.58 % (1628222)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 1.38/0.58 % (1628224)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=743204783:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 1.38/0.58 % (1628222)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3204847329:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 1.38/0.58 % (1628224)Instruction limit reached!
% 1.38/0.58 % (1628224)------------------------------
% 1.38/0.58 % (1628224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.58 % (1628224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.58 % (1628224)CaDiCaL version: 2.1.3
% 1.38/0.58 % (1628224)Termination reason: Instruction limit
% 1.38/0.58 % (1628224)Termination phase: Saturation
% 1.38/0.58 % (1628224)Time elapsed: 0.004 s
% 1.38/0.58 % (1628224)Peak memory usage: 12 MB
% 1.38/0.58 % (1628224)Instructions burned: 15 (million)
% 1.38/0.58 % (1628226)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=4217461253:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 1.38/0.58 % (1628232)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=1044146048:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 1.38/0.58 % (1628227)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1669972347:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 1.38/0.58 % (1628228)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2336745042:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.38/0.58 % (1628229)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3235157739:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 1.38/0.58 % (1628227)Refutation not found, incomplete strategy
% 1.38/0.58 % (1628227)------------------------------
% 1.38/0.58 % (1628227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.58 % (1628227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.58 % (1628227)CaDiCaL version: 2.1.3
% 1.38/0.58 % (1628227)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.58 % (1628227)Time elapsed: 0.005 s
% 1.38/0.58 % (1628227)Peak memory usage: 12 MB
% 1.38/0.58 % (1628227)Instructions burned: 10 (million)
% 1.38/0.58 % (1628227)------------------------------
% 1.38/0.58 % (1628227)------------------------------
% 1.38/0.58 % (1628226)Refutation not found, incomplete strategy
% 1.38/0.58 % (1628226)------------------------------
% 1.38/0.58 % (1628226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.58 % (1628226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.58 % (1628226)CaDiCaL version: 2.1.3
% 1.38/0.58 % (1628226)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.58 % (1628226)Time elapsed: 0.007 s
% 1.38/0.58 % (1628226)Peak memory usage: 13 MB
% 1.38/0.58 % (1628226)Instructions burned: 13 (million)
% 1.38/0.58 % (1628228)Refutation not found, incomplete strategy
% 1.38/0.58 % (1628228)------------------------------
% 1.38/0.58 % (1628228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.58 % (1628228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.58 % (1628228)CaDiCaL version: 2.1.3
% 1.38/0.58 % (1628228)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.58 % (1628228)Time elapsed: 0.006 s
% 1.38/0.58 % (1628228)Peak memory usage: 12 MB
% 1.38/0.58 % (1628228)Instructions burned: 11 (million)
% 1.38/0.58 % (1628226)------------------------------
% 1.38/0.58 % (1628226)------------------------------
% 1.38/0.58 % (1628228)------------------------------
% 1.38/0.58 % (1628228)------------------------------
% 1.38/0.58 % (1628232)Instruction limit reached!
% 1.38/0.58 % (1628232)------------------------------
% 1.38/0.58 % (1628232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.58 % (1628232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.58 % (1628232)CaDiCaL version: 2.1.3
% 1.38/0.58 % (1628232)Termination reason: Instruction limit
% 1.38/0.58 % (1628232)Termination phase: Saturation
% 1.38/0.58 % (1628232)Time elapsed: 0.010 s
% 1.38/0.58 % (1628232)Peak memory usage: 12 MB
% 1.38/0.58 % (1628232)Instructions burned: 35 (million)
% 1.38/0.58 % (1628241)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1314259259:cond=on:i=96:bd=all:rtra=on_2997 on theBenchmark for (2997ds/96Mi)
% 1.38/0.58 % (1628202)Instruction limit reached!
% 1.38/0.58 % (1628202)------------------------------
% 1.38/0.58 % (1628202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.58 % (1628202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.58 % (1628202)CaDiCaL version: 2.1.3
% 1.38/0.58 % (1628202)Termination reason: Instruction limit
% 1.38/0.58 % (1628202)Termination phase: Saturation
% 1.38/0.58 % (1628202)Time elapsed: 0.087 s
% 1.38/0.58 % (1628202)Peak memory usage: 14 MB
% 1.38/0.58 % (1628202)Instructions burned: 182 (million)
% 1.38/0.58 % (1628239)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 1.38/0.58 % (1628238)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1264908545:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/67Mi)
% 1.38/0.58 % (1628239)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1077710611:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2997 on theBenchmark for (2997ds/180Mi)
% 1.38/0.58 % (1628240)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=760591209:st=2:i=246:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/246Mi)
% 1.38/0.58 % (1628240)Refutation not found, incomplete strategy
% 1.38/0.58 % (1628240)------------------------------
% 1.38/0.58 % (1628240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.58 % (1628240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.58 % (1628240)CaDiCaL version: 2.1.3
% 1.38/0.58 % (1628240)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.58 % (1628240)Time elapsed: 0.006 s
% 1.38/0.58 % (1628240)Peak memory usage: 12 MB
% 1.38/0.58 % (1628240)Instructions burned: 10 (million)
% 1.38/0.58 % (1628240)------------------------------
% 1.38/0.58 % (1628240)------------------------------
% 1.38/0.58 % (1628243)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3337085552:i=427:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/427Mi)
% 1.38/0.58 % (1628243)Refutation not found, incomplete strategy
% 1.38/0.58 % (1628243)------------------------------
% 1.38/0.58 % (1628243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.58 % (1628243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.58 % (1628243)CaDiCaL version: 2.1.3
% 1.38/0.58 % (1628243)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.58 % (1628243)Time elapsed: 0.005 s
% 1.38/0.58 % (1628243)Peak memory usage: 12 MB
% 1.38/0.58 % (1628243)Instructions burned: 9 (million)
% 1.38/0.58 % (1628241)Instruction limit reached!
% 1.38/0.58 % (1628241)------------------------------
% 1.38/0.58 % (1628241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.58 % (1628243)------------------------------
% 1.38/0.58 % (1628243)------------------------------
% 1.38/0.58 % (1628241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.58 % (1628241)CaDiCaL version: 2.1.3
% 1.38/0.58 % (1628241)Termination reason: Instruction limit
% 1.38/0.58 % (1628241)Termination phase: Saturation
% 1.38/0.58 % (1628241)Time elapsed: 0.026 s
% 1.38/0.58 % (1628241)Peak memory usage: 13 MB
% 1.38/0.58 % (1628241)Instructions burned: 96 (million)
% 1.38/0.58 % (1628247)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2299487684:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/874Mi)
% 1.38/0.58 % (1628238) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1628127-1628238"...
% 1.38/0.58 % (1628247)Refutation not found, incomplete strategy
% 1.38/0.58 % (1628247)------------------------------
% 1.38/0.58 % (1628247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.58 % (1628247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.58 % (1628247)CaDiCaL version: 2.1.3
% 1.38/0.58 % (1628247)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.58 % (1628247)Time elapsed: 0.003 s
% 1.38/0.58 % (1628247)Peak memory usage: 12 MB
% 1.38/0.58 % (1628247)Instructions burned: 10 (million)
% 1.38/0.58 % (1628247)------------------------------
% 1.38/0.58 % (1628247)------------------------------
% 1.38/0.58 % (1628238)...printing done.
% 1.38/0.58 % (1628238)Refutation found. Thanks to Tanya!
% 1.38/0.58 % SZS status Theorem for theBenchmark
% 1.38/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.58 % (1628238)------------------------------
% 1.38/0.58 % (1628238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.58 % (1628238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.58 % (1628238)CaDiCaL version: 2.1.3
% 1.38/0.58 % (1628238)Termination reason: Refutation
% 1.38/0.58 % (1628238)Time elapsed: 0.034 s
% 1.38/0.58 % (1628238)Peak memory usage: 13 MB
% 1.38/0.58 % (1628238)Instructions burned: 72 (million)
% 1.38/0.58 % (1628127)Success in time 0.312 s
% 1.38/0.58 % Vampire exiting
%------------------------------------------------------------------------------