%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ANA116^1 : TPTP v9.2.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:38:55 AM UTC 2026
% Result : Theorem 37.90s 6.68s
% Output : Refutation 37.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 4
% Syntax : Number of formulae : 72 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 791 ( 459 equ; 0 cnn)
% Maximal formula atoms : 12 ( 10 avg)
% Number of connectives : 5480 ( 364 ~; 387 |; 0 &;4728 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 10 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 76 ( 76 >; 0 *; 0 +; 0 <<)
% Number of symbols : 37 ( 34 usr; 5 con; 0-4 aty)
% Number of variables : 548 ( 314 ^; 226 !; 8 ?; 548 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
'type/realax/real': $tType ).
thf(type_def_7,type,
'type/nums/num': $tType ).
thf(func_def_0,type,
'type/realax/real': $tType ).
thf(func_def_1,type,
'type/nums/num': $tType ).
thf(func_def_2,type,
'const/realax/real_sub': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
thf(func_def_3,type,
'const/realax/real_of_num': 'type/nums/num' > 'type/realax/real' ).
thf(func_def_4,type,
'const/realax/real_mul': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
thf(func_def_5,type,
'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num' ).
thf(func_def_6,type,
'const/nums/BIT1': 'type/nums/num' > 'type/nums/num' ).
thf(func_def_7,type,
'const/nums/_0': 'type/nums/num' ).
thf(func_def_8,type,
'const/iterate/sum':
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > 'type/realax/real' ) ).
thf(func_def_9,type,
'const/iterate/..': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' > $o ).
thf(func_def_10,type,
'const/class/COND':
!>[X0: $tType] : ( $o > X0 > X0 > X0 ) ).
thf(func_def_11,type,
'const/arith/+': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ).
thf(func_def_12,type,
'const/arith/-': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ).
thf(func_def_13,type,
'const/arith/<=': 'type/nums/num' > 'type/nums/num' > $o ).
thf(func_def_19,type,
sK0: 'type/nums/num' > 'type/realax/real' ).
thf(func_def_20,type,
sK1: 'type/nums/num' > 'type/realax/real' ).
thf(func_def_21,type,
sK2: 'type/nums/num' ).
thf(func_def_22,type,
sK3: 'type/nums/num' ).
thf(func_def_23,type,
ph4:
!>[X0: $tType] : X0 ).
thf(func_def_24,type,
sK5: ( 'type/nums/num' > 'type/nums/num' ) > ( 'type/nums/num' > 'type/nums/num' ) > 'type/nums/num' ).
thf(func_def_25,type,
sK6: ( 'type/nums/num' > 'type/nums/num' ) > ( 'type/nums/num' > 'type/nums/num' ) > 'type/nums/num' ).
thf(func_def_26,type,
sK7: ( 'type/nums/num' > 'type/realax/real' ) > ( 'type/nums/num' > 'type/realax/real' ) > ( 'type/nums/num' > 'type/realax/real' ) > ( 'type/nums/num' > 'type/realax/real' ) > 'type/nums/num' ).
thf(func_def_27,type,
sK8: ( 'type/nums/num' > 'type/realax/real' ) > ( 'type/nums/num' > 'type/realax/real' ) > ( 'type/nums/num' > 'type/realax/real' ) > ( 'type/nums/num' > 'type/realax/real' ) > 'type/nums/num' ).
thf(func_def_28,type,
sK9: ( 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ) > ( 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ) > 'type/nums/num' ).
thf(func_def_30,type,
sK10: ( 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ) > ( 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ) > 'type/nums/num' ).
thf(func_def_31,type,
sK11: ( 'type/nums/num' > 'type/nums/num' ) > 'type/nums/num' ).
thf(func_def_32,type,
sK12: ( 'type/nums/num' > 'type/nums/num' ) > ( 'type/nums/num' > 'type/nums/num' ) > 'type/nums/num' ).
thf(func_def_33,type,
sK13: ( 'type/nums/num' > 'type/realax/real' ) > ( 'type/nums/num' > 'type/realax/real' ) > 'type/nums/num' ).
thf(func_def_34,type,
sK14: ( 'type/nums/num' > 'type/nums/num' ) > ( 'type/nums/num' > 'type/nums/num' ) > 'type/nums/num' ).
thf(func_def_35,type,
sK15: ( 'type/nums/num' > 'type/realax/real' ) > ( 'type/nums/num' > 'type/realax/real' ) > ( 'type/nums/num' > 'type/realax/real' ) > ( 'type/nums/num' > 'type/realax/real' ) > 'type/nums/num' ).
thf(func_def_36,type,
sK16: ( 'type/nums/num' > 'type/realax/real' ) > ( 'type/nums/num' > 'type/realax/real' ) > ( 'type/nums/num' > 'type/realax/real' ) > ( 'type/nums/num' > 'type/realax/real' ) > 'type/nums/num' ).
thf(func_def_37,type,
sK17: ( 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ) > ( 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ) > 'type/nums/num' ).
thf(func_def_38,type,
sK18: ( 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ) > ( 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ) > 'type/nums/num' ).
thf(func_def_39,type,
sK19: ( 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ) > ( 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ) > 'type/nums/num' ).
thf(func_def_40,type,
sK20: ( 'type/nums/num' > 'type/nums/num' ) > ( 'type/nums/num' > 'type/nums/num' ) > 'type/nums/num' ).
thf(func_def_41,type,
sK21: ( 'type/nums/num' > 'type/nums/num' ) > 'type/nums/num' ).
thf(f2086,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f2021]) ).
thf(f2021,plain,
$true = $false,
inference(backward_demodulation,[status(thm)],[f449,f1975]) ).
thf(f1975,plain,
( ( 'const/arith/<=' @ sK2 @ sK3 )
= $false ),
inference(equality_resolution,[status(thm)],[f1930]) ).
thf(f1930,plain,
! [X0: 'type/nums/num'] :
( ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 )
| ( ( 'const/arith/<=' @ sK2 @ sK3 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f1929]) ).
thf(f1929,plain,
! [X0: 'type/nums/num'] :
( ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( ( 'const/arith/<=' @ sK2 @ sK3 )
= $false )
| ( sK3 != sK3 )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 ) ),
inference(equality_resolution,[status(thm)],[f1885]) ).
thf(f1885,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/arith/+' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( sK3 != X0 )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X1 )
| ( ( 'const/iterate/..' @ sK2 @ X0 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( ( 'const/arith/<=' @ sK2 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f1884]) ).
thf(f1884,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/iterate/..' @ sK2 @ X0 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( ( 'const/arith/<=' @ sK2 @ X0 )
= $false )
| ( sK3 != X0 )
| ( ( 'const/arith/+' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( sK2 != sK2 )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X1 ) ),
inference(equality_resolution,[status(thm)],[f1842]) ).
thf(f1842,plain,
! [X2: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( sK2 != X1 )
| ( ( 'const/arith/+' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( sK3 != X0 )
| ( $false
= ( 'const/arith/<=' @ X1 @ X0 ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X2 )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X1 @ X0 ) ) ),
inference(superposition,[status(thm)],[f1800,f13]) ).
thf(f13,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( 'const/arith/-' @ ( 'const/arith/+' @ X0 @ X1 ) @ X1 )
= X0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( 'const/arith/-' @ ( 'const/arith/+' @ X0 @ X1 ) @ X1 )
= X0 ),
file('/export/starexec/sandbox2/tmp/tmp.Epry2Cjoh7/DTF2THF_24747.p','thm/arith/ADD_SUB_') ).
thf(f1800,plain,
! [X2: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/arith/-' @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= sK3 )
| ( sK2 != X2 )
| ( ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X2 @ X1 ) )
| ( ( 'const/arith/-' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( $false
= ( 'const/arith/<=' @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f1799]) ).
thf(f1799,plain,
! [X2: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( $false
= ( 'const/arith/<=' @ X2 @ X1 ) )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X2 @ X1 ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= sK3 )
| ( sK2 != X2 )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 )
| ( 'const/nums/_0' != 'const/nums/_0' )
| ( ( 'const/arith/-' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f1798]) ).
thf(f1798,plain,
! [X2: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 )
| ( ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X2 @ X1 ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= sK3 )
| ( ( 'const/arith/-' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( sK2 != X2 )
| ( 'const/nums/_0' != 'const/nums/_0' )
| ( $false
= ( 'const/arith/<=' @ X2 @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f1797]) ).
thf(f1797,plain,
! [X2: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 )
| ( $false
= ( 'const/arith/<=' @ X2 @ X1 ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
@ ( 'const/nums/NUMERAL'
@ ( 'const/nums/BIT1'
@ ( ^ [Y0: 'type/nums/num'] : 'const/nums/_0'
@ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= sK3 )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X2 @ X1 ) )
| ( sK2 != X2 )
| ( 'const/nums/_0'
!= ( ^ [Y0: 'type/nums/num'] : 'const/nums/_0'
@ ( 'const/arith/+'
@ ( sK21
@ ^ [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' ) ) ) ) )
| ( ( 'const/nums/NUMERAL'
@ ( 'const/nums/BIT1'
@ ( ^ [Y0: 'type/nums/num'] : 'const/nums/_0'
@ ( 'const/arith/+'
@ ( sK6
@ ^ [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 )
| ( ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ X2
@ ( 'const/nums/NUMERAL'
@ ( 'const/nums/BIT1'
@ ( ^ [Y0: 'type/nums/num'] : 'const/nums/_0'
@ X2 ) ) ) ) )
| ( ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ),
inference(equality_resolution,[status(thm)],[f1762]) ).
thf(f1762,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/realax/real_mul'
@ ( sK0
@ ( sK21
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) ) )
@ ( 'const/realax/real_sub'
@ ( sK1
@ ( sK21
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) ) )
@ ( sK1
@ ( 'const/arith/-'
@ ( sK21
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) )
@ ( 'const/nums/NUMERAL'
@ ( 'const/nums/BIT1'
@ ( X0
@ ( sK21
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) ) ) ) ) ) ) ) )
!= ( 'const/realax/real_mul'
@ ( sK0
@ ( sK21
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) ) )
@ ( 'const/realax/real_sub'
@ ( sK1
@ ( sK21
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) ) )
@ ( sK1
@ ( 'const/arith/-'
@ ( sK21
@ ^ [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/-' @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= sK3 )
| ( sK2 != X2 )
| ( ( 'const/nums/NUMERAL'
@ ( 'const/nums/BIT1'
@ ( X0
@ ( 'const/arith/+'
@ ( sK6
@ ^ [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/arith/-' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ X2 ) ) ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( 'const/nums/_0'
!= ( X0
@ ( 'const/arith/+'
@ ( sK21
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
| ( ( 'const/arith/<=' @ X2 @ X3 )
= $false )
| ( ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/iterate/..' @ X2 @ X3 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f1758]) ).
thf(f1758,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/iterate/..' @ X2 @ X3 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( ( ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) )
@ ( 'const/arith/+'
@ ( sK6
@ ^ [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 )
| ( ( 'const/arith/-' @ X2
@ ( ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) )
@ X2 ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/arith/<=' @ X2 @ X3 )
= $false )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X3 @ ( '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/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK3 )
| ( ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/realax/real_mul'
@ ( sK0
@ ( sK21
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) ) ) )
@ ( 'const/realax/real_sub'
@ ( sK1
@ ( sK21
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) ) ) )
@ ( sK1
@ ( 'const/arith/-'
@ ( sK21
@ ^ [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 ) )
@ ( sK21
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) ) ) ) ) ) ) )
!= ( 'const/realax/real_mul'
@ ( sK0
@ ( sK21
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) ) ) )
@ ( 'const/realax/real_sub'
@ ( sK1
@ ( sK21
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) ) ) )
@ ( sK1
@ ( 'const/arith/-'
@ ( sK21
@ ^ [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' ) ) ) ) ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X1 )
| ( 'const/nums/_0'
!= ( X0
@ ( 'const/arith/+'
@ ( sK21
@ ^ [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' ) ) ) ) )
| ( sK2 != X2 ) ),
inference(constrained_superposition,[status(thm)],[f1721,f13]) ).
thf(f1721,plain,
! [X2: 'type/nums/num' > 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/realax/real_mul' @ ( sK0 @ ( sK21 @ X2 ) ) @ ( 'const/realax/real_sub' @ ( sK1 @ ( 'const/arith/-' @ ( 'const/arith/+' @ ( sK21 @ X2 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X2 @ ( 'const/arith/+' @ ( sK21 @ X2 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) @ ( sK1 @ ( 'const/arith/-' @ ( sK21 @ X2 ) @ ( X2 @ ( sK21 @ X2 ) ) ) ) ) )
!= ( 'const/realax/real_mul' @ ( sK0 @ ( sK21 @ X2 ) ) @ ( 'const/realax/real_sub' @ ( sK1 @ ( sK21 @ X2 ) ) @ ( sK1 @ ( 'const/arith/-' @ ( sK21 @ X2 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X3 )
| ( ( 'const/arith/<=' @ X0 @ X1 )
= $false )
| ( ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/arith/-' @ X0 @ ( X2 @ X0 ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X2 @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK3 )
| ( sK2 != X0 )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X0 @ X1 ) )
| ( ( X2
@ ( 'const/arith/+'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X2 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X3 ) ),
inference(beta_eta_normalization,[status(thm)],[f1720]) ).
thf(f1720,plain,
! [X2: 'type/nums/num' > 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( sK2 != X0 )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ ( 'const/arith/-' @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X2 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( X2 @ Y0 ) ) ) ) )
@ ( sK21 @ X2 ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
@ ( sK21 @ X2 ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X3 )
| ( ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X2 @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK3 )
| ( ( 'const/arith/-' @ X0 @ ( X2 @ X0 ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( X2
@ ( 'const/arith/+'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X2 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X3 )
| ( ( 'const/arith/<=' @ X0 @ X1 )
= $false )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X0 @ X1 ) ) ),
inference(negative_extensionality,[status(thm)],[f1675]) ).
thf(f1675,plain,
! [X2: 'type/nums/num' > 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( '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' @ ( sK1 @ ( 'const/arith/-' @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X2 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( X2 @ Y0 ) ) ) ) ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X3 )
| ( ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X0 @ X1 ) )
| ( sK2 != X0 )
| ( ( 'const/arith/<=' @ X0 @ X1 )
= $false )
| ( ( 'const/arith/-' @ X0 @ ( X2 @ X0 ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X2 @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK3 )
| ( ( X2
@ ( 'const/arith/+'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X2 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X3 ) ),
inference(beta_eta_normalization,[status(thm)],[f1674]) ).
thf(f1674,plain,
! [X2: 'type/nums/num' > 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( sK2
!= ( ^ [Y0: 'type/nums/num'] : Y0
@ X0 ) )
| ( ( ^ [Y0: 'type/nums/num'] : Y0
@ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/arith/<=' @ X0 @ X1 )
= $false )
| ( ( 'const/arith/-' @ X0 @ ( X2 @ X0 ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( X2
@ ( 'const/arith/+'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X2 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X3 )
| ( ( ^ [Y0: 'type/nums/num'] :
( 'const/realax/real_mul'
@ ( sK0
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 ) )
@ ( 'const/realax/real_sub' @ ( sK1 @ ( 'const/arith/-' @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X2 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( X2 @ Y0 ) ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X3 )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X0 @ X1 ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X2 @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK3 ) ),
inference(trivial_inequality_removal,[status(thm)],[f1670]) ).
thf(f1670,plain,
! [X2: 'type/nums/num' > 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X2 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
!= ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X2 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X2 @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK3 )
| ( ( X2
@ ( 'const/arith/+'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X2 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X3 )
| ( ( 'const/arith/-' @ X0 @ ( X2 @ X0 ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] : Y0
@ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X0 @ X1 ) )
| ( ( ^ [Y0: 'type/nums/num'] :
( 'const/realax/real_mul'
@ ( sK0
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 ) )
@ ( 'const/realax/real_sub' @ ( sK1 @ ( 'const/arith/-' @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X2 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( X2 @ Y0 ) ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( ( 'const/arith/<=' @ X0 @ X1 )
= $false )
| ( sK2
!= ( ^ [Y0: 'type/nums/num'] : Y0
@ X0 ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X3 ) ),
inference(equality_resolution,[status(thm)],[f1060]) ).
thf(f1060,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num' > 'type/nums/num',X4: 'type/nums/num',X5: 'type/nums/num'] :
( ( ( 'const/realax/real_mul' @ ( sK1 @ X3 )
@ ( 'const/realax/real_sub'
@ ( sK0
@ ( X1
@ ( 'const/arith/+'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ X1 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
@ ( sK0
@ ( X1
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ X1 ) ) ) ) )
!= ( 'const/realax/real_mul'
@ ( sK1
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ X1 ) )
@ ( 'const/realax/real_sub'
@ ( sK0
@ ( 'const/arith/+'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ X1 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
@ ( sK0
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ X1 ) ) ) ) )
| ( sK2
!= ( X1 @ X4 ) )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X4 @ X5 ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ ( X1 @ Y0 ) ) @ ( 'const/realax/real_sub' @ ( sK1 @ ( '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' ) ) ) ) ) ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) ) ) ) ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X2 )
| ( $false
= ( 'const/arith/<=' @ X4 @ X5 ) )
| ( ( 'const/arith/-' @ X4 @ ( X0 @ X4 ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( X1 @ ( 'const/arith/+' @ X5 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ X1 )
!= X3 )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X5 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X0 @ ( 'const/arith/+' @ X5 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK3 )
| ( ( X0
@ ( 'const/arith/+'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ X1 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X2 ) ),
inference(beta_eta_normalization,[status(thm)],[f1052]) ).
thf(f1052,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num' > 'type/nums/num',X4: 'type/nums/num',X5: 'type/nums/num'] :
( ( ( ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ ( 'const/arith/+' @ X5 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= sK3 )
| ( sK2
!= ( X1 @ X4 ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X2 )
| ( $false
= ( 'const/arith/<=' @ X4 @ X5 ) )
| ( ( ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X4 )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X4 @ X5 ) )
| ( ( X1 @ ( 'const/arith/+' @ X5 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( X0
@ ( 'const/arith/+'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X2 )
| ( ( 'const/realax/real_mul'
@ ( sK1
@ ( sK6
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 ) )
@ ( 'const/realax/real_sub'
@ ( sK0
@ ( 'const/arith/+'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
@ ( sK0
@ ( sK6
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 ) ) ) )
!= ( 'const/realax/real_mul' @ ( sK1 @ X3 )
@ ( 'const/realax/real_sub'
@ ( sK0
@ ( X1
@ ( 'const/arith/+'
@ ( sK6
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
@ ( sK0
@ ( X1
@ ( sK6
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 ) ) ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] :
( 'const/realax/real_mul' @ ( sK0 @ ( X1 @ Y0 ) )
@ ( 'const/realax/real_sub'
@ ( sK1
@ ( ^ [Y1: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y2: 'type/nums/num'] : Y2
@ Y1 )
@ ( X0 @ Y1 ) )
@ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
@ ( sK1
@ ( ^ [Y1: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y2: 'type/nums/num'] : Y2
@ Y1 )
@ ( X0 @ Y1 ) )
@ Y0 ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( ( sK6
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 )
!= X3 ) ),
inference(constrained_superposition,[status(thm)],[f498,f13]) ).
thf(f498,plain,
! [X2: 'type/nums/num' > 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/realax/real_mul' @ ( sK1 @ ( sK6 @ X0 @ X2 ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ ( sK6 @ X0 @ X2 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ ( sK6 @ X0 @ X2 ) ) ) )
!= ( 'const/realax/real_mul' @ ( sK1 @ ( X0 @ ( 'const/arith/+' @ ( sK6 @ X0 @ X2 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( X2 @ ( 'const/arith/+' @ ( sK6 @ X0 @ X2 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK0 @ ( X2 @ ( sK6 @ X0 @ X2 ) ) ) ) ) )
| ( ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( X0 @ X1 ) )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X1 @ X3 ) )
| ( ( X2 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ ( X2 @ Y0 ) ) @ ( 'const/realax/real_sub' @ ( sK1 @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK1 @ ( X0 @ Y0 ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( ( X0 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= sK3 )
| ( ( X2 @ X1 )
!= sK2 )
| ( $false
= ( 'const/arith/<=' @ X1 @ X3 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f489]) ).
thf(f489,plain,
! [X2: 'type/nums/num' > 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( X0 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= sK3 )
| ( ( X2 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( $false
= ( 'const/arith/<=' @ X1 @ X3 ) )
| ( ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( X0 @ X1 ) )
| ( ( X2 @ X1 )
!= sK2 )
| ( ( 'const/realax/real_mul' @ ( sK1 @ ( sK6 @ X0 @ X2 ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ ( sK6 @ X0 @ X2 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ ( sK6 @ X0 @ X2 ) ) ) )
!= ( 'const/realax/real_mul' @ ( sK1 @ ( X0 @ ( 'const/arith/+' @ ( sK6 @ X0 @ X2 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( X2 @ ( 'const/arith/+' @ ( sK6 @ X0 @ X2 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK0 @ ( X2 @ ( sK6 @ X0 @ X2 ) ) ) ) ) )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X1 @ X3 ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ ( X2 @ Y0 ) ) @ ( 'const/realax/real_sub' @ ( sK1 @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK1 @ ( X0 @ Y0 ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( $true = $false ) ),
inference(backward_demodulation,[status(thm)],[f142,f449]) ).
thf(f142,plain,
! [X2: 'type/nums/num' > 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/realax/real_mul' @ ( sK1 @ ( sK6 @ X0 @ X2 ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ ( sK6 @ X0 @ X2 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ ( sK6 @ X0 @ X2 ) ) ) )
!= ( 'const/realax/real_mul' @ ( sK1 @ ( X0 @ ( 'const/arith/+' @ ( sK6 @ X0 @ X2 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( X2 @ ( 'const/arith/+' @ ( sK6 @ X0 @ X2 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK0 @ ( X2 @ ( sK6 @ X0 @ X2 ) ) ) ) ) )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X1 @ X3 ) )
| ( ( X0 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= sK3 )
| ( ( X2 @ X1 )
!= sK2 )
| ( $false
= ( 'const/arith/<=' @ X1 @ X3 ) )
| ( ( 'const/arith/<=' @ sK2 @ sK3 )
= $false )
| ( ( X2 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ ( X2 @ Y0 ) ) @ ( 'const/realax/real_sub' @ ( sK1 @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK1 @ ( X0 @ Y0 ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( X0 @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f141]) ).
thf(f141,plain,
! [X2: 'type/nums/num' > 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( X2 @ X1 )
!= sK2 )
| ( ( X0 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= sK3 )
| ( $false
= ( 'const/arith/<=' @ X1 @ X3 ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) )
@ ( sK6 @ X0 @ X2 ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( X2 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK0 @ ( X2 @ Y0 ) ) ) )
@ ( sK6 @ X0 @ X2 ) ) )
| ( ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( X0 @ X1 ) )
| ( ( X2 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ ( X2 @ Y0 ) ) @ ( 'const/realax/real_sub' @ ( sK1 @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK1 @ ( X0 @ Y0 ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( ( 'const/arith/<=' @ sK2 @ sK3 )
= $false )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X1 @ X3 ) ) ),
inference(negative_extensionality,[status(thm)],[f108]) ).
thf(f108,plain,
! [X2: 'type/nums/num' > 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( X2 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK0 @ ( X2 @ Y0 ) ) ) ) ) )
| ( ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( X0 @ X1 ) )
| ( ( X2 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X1 @ X3 ) )
| ( ( X2 @ X1 )
!= sK2 )
| ( ( X0 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= sK3 )
| ( ( 'const/arith/<=' @ sK2 @ sK3 )
= $false )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ ( X2 @ Y0 ) ) @ ( 'const/realax/real_sub' @ ( sK1 @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK1 @ ( X0 @ Y0 ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( $false
= ( 'const/arith/<=' @ X1 @ X3 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f102]) ).
thf(f102,plain,
! [X2: 'type/nums/num' > 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] :
( 'const/realax/real_mul'
@ ( ^ [Y1: 'type/nums/num'] : ( sK1 @ ( X0 @ Y1 ) )
@ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
@ ( 'const/realax/real_sub'
@ ( ^ [Y1: 'type/nums/num'] : ( sK0 @ ( X2 @ Y1 ) )
@ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
@ ( ^ [Y1: 'type/nums/num'] : ( sK0 @ ( X2 @ Y1 ) )
@ Y0 ) ) ) ) )
| ( ( X0 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= sK3 )
| ( $false
= ( 'const/arith/<=' @ X1 @ X3 ) )
| ( ( 'const/arith/<=' @ sK2 @ sK3 )
= $false )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] :
( 'const/realax/real_mul'
@ ( ^ [Y1: 'type/nums/num'] : ( sK0 @ ( X2 @ Y1 ) )
@ Y0 )
@ ( 'const/realax/real_sub'
@ ( ^ [Y1: 'type/nums/num'] : ( sK1 @ ( X0 @ Y1 ) )
@ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
@ ( ^ [Y1: 'type/nums/num'] : ( sK1 @ ( X0 @ Y1 ) )
@ Y0 ) ) ) ) )
| ( ( X2 @ X1 )
!= sK2 )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X1 @ X3 ) )
| ( ( X2 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( X0 @ X1 ) ) ),
inference(equality_resolution,[status(thm)],[f97]) ).
thf(f97,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( ( '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/realax/real_sub' @ ( 'const/realax/real_mul' @ ( sK0 @ ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK1 @ sK3 ) ) @ ( 'const/realax/real_mul' @ ( sK0 @ sK2 ) @ ( sK1 @ ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
| ( ( 'const/iterate/..' @ X2 @ X3 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( ( 'const/arith/<=' @ X2 @ X3 )
= $false )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) ) )
!= ( ^ [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' @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X0 @ Y0 ) ) ) ) )
| ( ( 'const/arith/<=' @ sK2 @ sK3 )
= $false )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ Y0 ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f96]) ).
thf(f96,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( ( 'const/arith/<=' @ sK2 @ sK3 )
= $false )
| ( ( 'const/iterate/..' @ X2 @ X3 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) ) )
!= ( ^ [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' @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X0 @ Y0 ) ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ Y0 ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( ( '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/realax/real_sub' @ ( 'const/realax/real_mul' @ ( sK0 @ ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK1 @ sK3 ) ) @ ( 'const/realax/real_mul' @ ( sK0 @ sK2 ) @ ( sK1 @ ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
| ( ( 'const/iterate/..' @ X2 @ X3 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( ( 'const/arith/<=' @ X2 @ X3 )
= $false ) ),
inference(equality_resolution,[status(thm)],[f32]) ).
thf(f32,plain,
! [X2: 'type/nums/num' > 'type/realax/real',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num'] :
( ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( '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' @ ( X0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X2 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X2 @ Y0 ) ) ) ) )
| ( ( 'const/arith/<=' @ sK2 @ sK3 )
= $false )
| ( ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( sK0 @ ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK1 @ sK3 ) ) @ ( 'const/realax/real_mul' @ ( sK0 @ sK2 ) @ ( sK1 @ ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
!= ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( X0 @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X2 @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_mul' @ ( X0 @ X3 ) @ ( X2 @ X3 ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X2 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( 'const/realax/real_sub' @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X0 @ Y0 ) ) ) ) )
| ( $false
= ( 'const/arith/<=' @ X3 @ X1 ) )
| ( ( 'const/iterate/..' @ X3 @ X1 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f21]) ).
thf(f21,plain,
! [X2: 'type/nums/num' > 'type/realax/real',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num'] :
( ( ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( sK0 @ ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK1 @ sK3 ) ) @ ( 'const/realax/real_mul' @ ( sK0 @ sK2 ) @ ( sK1 @ ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
!= ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( X0 @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X2 @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_mul' @ ( X0 @ X3 ) @ ( X2 @ X3 ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X2 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( 'const/realax/real_sub' @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X0 @ Y0 ) ) ) ) )
| ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( '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' @ ( X0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X2 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X2 @ Y0 ) ) ) ) )
| ( ( 'const/iterate/..' @ X3 @ X1 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( ( 'const/arith/<=' @ sK2 @ sK3 )
!= ( 'const/arith/<=' @ X3 @ X1 ) ) ),
inference(constrained_superposition,[status(thm)],[f14,f15]) ).
thf(f15,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',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 @ ( '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 )
@ ^ [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' @ ( 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' ) ) )
= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
thf(f9,plain,
! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real',X2: 'type/nums/num',X3: 'type/nums/num'] :
( ( '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 )
@ ^ [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' @ ( 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' ) ) )
= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f8]) ).
thf(f8,plain,
! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real',X2: 'type/nums/num',X3: 'type/nums/num'] :
( ( '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 )
@ ^ [X5: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ ( 'const/arith/+' @ X5 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( 'const/realax/real_sub' @ ( X0 @ ( 'const/arith/+' @ X5 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X0 @ X5 ) ) ) ) )
@ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real',X2: 'type/nums/num',X3: 'type/nums/num'] :
( ( '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/sandbox2/tmp/tmp.Epry2Cjoh7/DTF2THF_24747.p','thm/iterate/SUM_PARTIAL_SUC_') ).
thf(f14,plain,
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ sK2 @ sK3 )
@ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( sK0 @ ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK1 @ sK3 ) ) @ ( 'const/realax/real_mul' @ ( sK0 @ sK2 ) @ ( sK1 @ ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
@ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ 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,[status(thm)],[f12]) ).
thf(f12,plain,
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ sK2 @ sK3 )
@ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( sK0 @ ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK1 @ sK3 ) ) @ ( 'const/realax/real_mul' @ ( sK0 @ sK2 ) @ ( sK1 @ ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
@ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ 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(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f10,f11]) ).
thf(f11,plain,
( ? [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real',X2: 'type/nums/num',X3: 'type/nums/num'] :
( ( '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 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ 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' ) ) )
!= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X1 @ Y0 ) @ ( X1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
=> ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ sK2 @ sK3 )
@ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( sK0 @ ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK1 @ sK3 ) ) @ ( 'const/realax/real_mul' @ ( sK0 @ sK2 ) @ ( sK1 @ ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
@ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ 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' ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f10,plain,
? [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real',X2: 'type/nums/num',X3: 'type/nums/num'] :
( ( '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 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ 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' ) ) )
!= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X1 @ Y0 ) @ ( X1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) ),
inference(ennf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
~ ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real',X2: 'type/nums/num',X3: 'type/nums/num'] :
( ( '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 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ 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' ) ) )
= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X1 @ Y0 ) @ ( X1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f6]) ).
thf(f6,plain,
~ ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real',X2: 'type/nums/num',X3: 'type/nums/num'] :
( ( '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 )
@ ^ [X5: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X0 @ X5 ) @ ( 'const/realax/real_sub' @ ( X1 @ X5 ) @ ( X1 @ ( 'const/arith/-' @ X5 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,negated_conjecture,
~ ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real',X2: 'type/nums/num',X3: 'type/nums/num'] :
( ( '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(f3,conjecture,
! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real',X2: 'type/nums/num',X3: 'type/nums/num'] :
( ( '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/sandbox2/tmp/tmp.Epry2Cjoh7/DTF2THF_24747.p','thm/iterate/SUM_PARTIAL_PRE_') ).
thf(f449,plain,
( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) ),
inference(equality_resolution,[status(thm)],[f413]) ).
thf(f413,plain,
! [X0: 'type/nums/num'] :
( ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f412]) ).
thf(f412,plain,
! [X0: 'type/nums/num'] :
( ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( sK3 != sK3 ) ),
inference(duplicate_literal_removal,[status(thm)],[f411]) ).
thf(f411,plain,
! [X0: 'type/nums/num'] :
( ( sK3 != sK3 )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 ) ),
inference(equality_resolution,[status(thm)],[f375]) ).
thf(f375,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/arith/+' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( sK3 != X0 )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( ( 'const/iterate/..' @ sK2 @ X0 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( ( 'const/arith/<=' @ sK2 @ X0 )
= $true )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X1 ) ),
inference(superposition,[status(thm)],[f339,f13]) ).
thf(f339,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( sK3
!= ( 'const/arith/-' @ ( 'const/arith/+' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/iterate/..' @ sK2 @ X0 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( ( 'const/arith/<=' @ sK2 @ X0 )
= $true )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X1 )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( ( 'const/arith/+' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f338]) ).
thf(f338,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( sK3
!= ( 'const/arith/-' @ ( 'const/arith/+' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X1 )
| ( ( 'const/arith/+' @ X0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( sK2 != sK2 )
| ( ( 'const/arith/<=' @ sK2 @ X0 )
= $true )
| ( ( 'const/iterate/..' @ sK2 @ X0 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) ) ),
inference(equality_resolution,[status(thm)],[f329]) ).
thf(f329,plain,
! [X2: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( sK2 != X1 )
| ( ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/iterate/..' @ X1 @ X2 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 )
| ( $true
= ( 'const/arith/<=' @ X1 @ X2 ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= sK3 )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f328]) ).
thf(f328,plain,
! [X2: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/iterate/..' @ X1 @ X2 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( sK2 != X1 )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 )
| ( 'const/nums/_0' != 'const/nums/_0' )
| ( $true
= ( 'const/arith/<=' @ X1 @ X2 ) )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= sK3 )
| ( ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/arith/+' @ X2 @ ( '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,[status(thm)],[f327]) ).
thf(f327,plain,
! [X2: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( 'const/nums/_0' != 'const/nums/_0' )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 )
| ( $true
= ( 'const/arith/<=' @ X1 @ X2 ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= sK3 )
| ( sK2 != X1 )
| ( ( 'const/iterate/..' @ X1 @ X2 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f326]) ).
thf(f326,plain,
! [X2: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( $true
= ( 'const/arith/<=' @ X1 @ X2 ) )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X0 )
| ( ( 'const/nums/NUMERAL'
@ ( 'const/nums/BIT1'
@ ( ^ [Y0: 'type/nums/num'] : 'const/nums/_0'
@ ( 'const/arith/+'
@ ( sK5
@ ^ [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 )
| ( 'const/nums/_0'
!= ( ^ [Y0: 'type/nums/num'] : 'const/nums/_0'
@ ( 'const/arith/+'
@ ( sK11
@ ^ [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' ) ) ) ) )
| ( ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( sK3
!= ( 'const/arith/-' @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
@ ( 'const/nums/NUMERAL'
@ ( 'const/nums/BIT1'
@ ( ^ [Y0: 'type/nums/num'] : 'const/nums/_0'
@ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( sK2 != X1 )
| ( ( 'const/arith/-' @ X1
@ ( 'const/nums/NUMERAL'
@ ( 'const/nums/BIT1'
@ ( ^ [Y0: 'type/nums/num'] : 'const/nums/_0'
@ X1 ) ) ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/iterate/..' @ X1 @ X2 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) ) ),
inference(equality_resolution,[status(thm)],[f318]) ).
thf(f318,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/realax/real_mul'
@ ( sK0
@ ( sK11
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) ) )
@ ( 'const/realax/real_sub'
@ ( sK1
@ ( sK11
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) ) )
@ ( sK1
@ ( 'const/arith/-'
@ ( sK11
@ ^ [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
@ ( sK11
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) ) )
@ ( 'const/realax/real_sub'
@ ( sK1
@ ( sK11
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) ) )
@ ( sK1
@ ( 'const/arith/-'
@ ( sK11
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) )
@ ( 'const/nums/NUMERAL'
@ ( 'const/nums/BIT1'
@ ( X0
@ ( sK11
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) ) ) ) ) ) ) ) ) )
| ( ( 'const/nums/NUMERAL'
@ ( 'const/nums/BIT1'
@ ( X0
@ ( 'const/arith/+'
@ ( sK5
@ ^ [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' ) ) ) ) ) )
!= X3 )
| ( sK2 != X1 )
| ( ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X3 )
| ( ( 'const/iterate/..' @ X1 @ X2 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( ( 'const/arith/-' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ X1 ) ) ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= sK3 )
| ( 'const/nums/_0'
!= ( X0
@ ( 'const/arith/+'
@ ( sK11
@ ^ [Y0: 'type/nums/num'] : ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ ( X0 @ Y0 ) ) ) )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( $true
= ( 'const/arith/<=' @ X1 @ X2 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f314]) ).
thf(f314,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/realax/real_mul'
@ ( sK0
@ ( sK11
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) ) ) )
@ ( 'const/realax/real_sub'
@ ( sK1
@ ( sK11
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) ) ) )
@ ( sK1
@ ( 'const/arith/-'
@ ( sK11
@ ^ [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' ) ) ) ) ) )
!= ( 'const/realax/real_mul'
@ ( sK0
@ ( sK11
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) ) ) )
@ ( 'const/realax/real_sub'
@ ( sK1
@ ( sK11
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) ) ) )
@ ( sK1
@ ( 'const/arith/-'
@ ( sK11
@ ^ [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 ) )
@ ( sK11
@ ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) ) ) ) ) ) ) ) )
| ( ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X2 @ ( '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/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK3 )
| ( sK2 != X1 )
| ( ( 'const/iterate/..' @ X1 @ X2 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( $true
= ( 'const/arith/<=' @ X1 @ X2 ) )
| ( ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/-' @ X1
@ ( ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) )
@ X1 ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X3 )
| ( 'const/nums/_0'
!= ( X0
@ ( 'const/arith/+'
@ ( sK11
@ ^ [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' ) ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] :
( 'const/nums/NUMERAL'
@ ( ^ [Y1: 'type/nums/num'] : ( 'const/nums/BIT1' @ ( X0 @ Y1 ) )
@ Y0 ) )
@ ( 'const/arith/+'
@ ( sK5
@ ^ [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' ) ) ) )
!= X3 )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) ) ),
inference(constrained_superposition,[status(thm)],[f304,f13]) ).
thf(f304,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num' > 'type/nums/num'] :
( ( ( 'const/realax/real_mul' @ ( sK0 @ ( sK11 @ X1 ) ) @ ( 'const/realax/real_sub' @ ( sK1 @ ( 'const/arith/-' @ ( 'const/arith/+' @ ( sK11 @ X1 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X1 @ ( 'const/arith/+' @ ( sK11 @ X1 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) @ ( sK1 @ ( 'const/arith/-' @ ( sK11 @ X1 ) @ ( X1 @ ( sK11 @ X1 ) ) ) ) ) )
!= ( 'const/realax/real_mul' @ ( sK0 @ ( sK11 @ X1 ) ) @ ( 'const/realax/real_sub' @ ( sK1 @ ( sK11 @ X1 ) ) @ ( sK1 @ ( 'const/arith/-' @ ( sK11 @ X1 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
| ( ( 'const/arith/<=' @ X0 @ X2 )
= $true )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X1 @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK3 )
| ( sK2 != X0 )
| ( ( 'const/arith/-' @ X0 @ ( X1 @ X0 ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X3 )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X0 @ X2 ) )
| ( ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( ( X1
@ ( 'const/arith/+'
@ ( sK5
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X3 ) ),
inference(beta_eta_normalization,[status(thm)],[f303]) ).
thf(f303,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num' > 'type/nums/num'] :
( ( ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X1 @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK3 )
| ( ( 'const/arith/<=' @ X0 @ X2 )
= $true )
| ( ( 'const/arith/-' @ X0 @ ( X1 @ X0 ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( sK2 != X0 )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X0 @ X2 ) )
| ( ( X1
@ ( 'const/arith/+'
@ ( sK5
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X3 )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X3 )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ ( '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' ) ) ) ) ) ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) ) ) ) )
@ ( sK11 @ X1 ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
@ ( sK11 @ X1 ) ) ) ),
inference(negative_extensionality,[status(thm)],[f294]) ).
thf(f294,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num' > 'type/nums/num'] :
( ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( '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' @ ( sK1 @ ( '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' ) ) ) ) ) ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) ) ) ) ) ) )
| ( ( 'const/arith/-' @ X0 @ ( X1 @ X0 ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X1 @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK3 )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( ( 'const/arith/<=' @ X0 @ X2 )
= $true )
| ( sK2 != X0 )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X0 @ X2 ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X3 )
| ( ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( X1
@ ( 'const/arith/+'
@ ( sK5
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X3 ) ),
inference(beta_eta_normalization,[status(thm)],[f293]) ).
thf(f293,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num' > 'type/nums/num'] :
( ( ( 'const/arith/-' @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X1 @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK3 )
| ( sK2
!= ( ^ [Y0: 'type/nums/num'] : Y0
@ X0 ) )
| ( ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( ^ [Y0: 'type/nums/num'] : Y0
@ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
| ( ( X1
@ ( 'const/arith/+'
@ ( sK5
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X3 )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] :
( 'const/realax/real_mul'
@ ( sK0
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 ) )
@ ( 'const/realax/real_sub' @ ( sK1 @ ( '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' ) ) ) ) ) ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) ) ) ) ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X3 )
| ( ( 'const/arith/<=' @ X0 @ X2 )
= $true )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X0 @ X2 ) )
| ( ( 'const/arith/-' @ X0 @ ( X1 @ X0 ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f291]) ).
thf(f291,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num' > 'type/nums/num'] :
( ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X0 @ X2 ) )
| ( ( 'const/arith/-' @ X0 @ ( X1 @ X0 ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( ^ [Y0: 'type/nums/num'] : Y0
@ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
| ( ( 'const/arith/<=' @ X0 @ X2 )
= $true )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] :
( 'const/realax/real_mul'
@ ( sK0
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 ) )
@ ( 'const/realax/real_sub' @ ( sK1 @ ( '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' ) ) ) ) ) ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) ) ) ) ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X3 )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( ( sK5
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
!= ( sK5
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 ) )
| ( ( X1
@ ( 'const/arith/+'
@ ( sK5
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X1 @ Y0 ) )
@ ^ [Y0: 'type/nums/num'] : Y0 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X3 )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X1 @ ( 'const/arith/+' @ X2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK3 )
| ( sK2
!= ( ^ [Y0: 'type/nums/num'] : Y0
@ X0 ) ) ),
inference(equality_resolution,[status(thm)],[f218]) ).
thf(f218,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num' > 'type/nums/num',X4: 'type/nums/num',X5: 'type/nums/num'] :
( ( ( 'const/realax/real_mul'
@ ( sK1
@ ( sK5
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ X1 ) )
@ ( 'const/realax/real_sub'
@ ( sK0
@ ( 'const/arith/+'
@ ( sK5
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ X1 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
@ ( sK0
@ ( sK5
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ X1 ) ) ) )
!= ( 'const/realax/real_mul' @ ( sK1 @ X3 )
@ ( 'const/realax/real_sub'
@ ( sK0
@ ( X1
@ ( 'const/arith/+'
@ ( sK5
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ X1 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
@ ( sK0
@ ( X1
@ ( sK5
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ X1 ) ) ) ) ) )
| ( sK2
!= ( X1 @ X4 ) )
| ( ( 'const/arith/-' @ X4 @ ( X0 @ X4 ) )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X4 @ X5 ) )
| ( $true
= ( 'const/arith/<=' @ X4 @ X5 ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X2 )
| ( ( 'const/arith/-' @ ( 'const/arith/+' @ X5 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ ( X0 @ ( 'const/arith/+' @ X5 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
!= sK3 )
| ( ( X1 @ ( 'const/arith/+' @ X5 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ ( X1 @ Y0 ) ) @ ( 'const/realax/real_sub' @ ( sK1 @ ( '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' ) ) ) ) ) ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) ) ) ) ) ) )
| ( ( sK5
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ X1 )
!= X3 )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( ( X0
@ ( 'const/arith/+'
@ ( sK5
@ ^ [Y0: 'type/nums/num'] : ( 'const/arith/-' @ Y0 @ ( X0 @ Y0 ) )
@ X1 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X2 ) ),
inference(beta_eta_normalization,[status(thm)],[f215]) ).
thf(f215,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num' > 'type/nums/num',X4: 'type/nums/num',X5: 'type/nums/num'] :
( ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X4 @ X5 ) )
| ( ( ^ [Y0: 'type/nums/num'] :
( 'const/realax/real_mul' @ ( sK0 @ ( X1 @ Y0 ) )
@ ( 'const/realax/real_sub'
@ ( sK1
@ ( ^ [Y1: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y2: 'type/nums/num'] : Y2
@ Y1 )
@ ( X0 @ Y1 ) )
@ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
@ ( sK1
@ ( ^ [Y1: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y2: 'type/nums/num'] : Y2
@ Y1 )
@ ( X0 @ Y1 ) )
@ Y0 ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) )
!= X2 )
| ( $true
= ( 'const/arith/<=' @ X4 @ X5 ) )
| ( ( 'const/realax/real_mul' @ ( sK1 @ X3 )
@ ( 'const/realax/real_sub'
@ ( sK0
@ ( X1
@ ( 'const/arith/+'
@ ( sK5
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) )
@ ( sK0
@ ( X1
@ ( sK5
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 ) ) ) ) )
!= ( 'const/realax/real_mul'
@ ( sK1
@ ( sK5
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 ) )
@ ( 'const/realax/real_sub'
@ ( sK0
@ ( 'const/arith/+'
@ ( sK5
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
@ ( sK0
@ ( sK5
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 ) ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ ( 'const/arith/+' @ X5 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= sK3 )
| ( sK2
!= ( X1 @ X4 ) )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( ( X1 @ ( 'const/arith/+' @ X5 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( sK5
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 )
!= X3 )
| ( ( ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X4 )
!= ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( X0
@ ( 'const/arith/+'
@ ( sK5
@ ^ [Y0: 'type/nums/num'] :
( 'const/arith/-'
@ ( ^ [Y1: 'type/nums/num'] : Y1
@ Y0 )
@ ( X0 @ Y0 ) )
@ X1 )
@ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= X2 ) ),
inference(constrained_superposition,[status(thm)],[f95,f13]) ).
thf(f95,plain,
! [X2: 'type/nums/num' > 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/realax/real_mul' @ ( sK1 @ ( X0 @ ( 'const/arith/+' @ ( sK5 @ X0 @ X2 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( X2 @ ( 'const/arith/+' @ ( sK5 @ X0 @ X2 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK0 @ ( X2 @ ( sK5 @ X0 @ X2 ) ) ) ) )
!= ( 'const/realax/real_mul' @ ( sK1 @ ( sK5 @ X0 @ X2 ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ ( sK5 @ X0 @ X2 ) @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ ( sK5 @ X0 @ X2 ) ) ) ) )
| ( ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( X0 @ X1 ) )
| ( ( X2 @ X1 )
!= sK2 )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X1 @ X3 ) )
| ( ( X0 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= sK3 )
| ( ( X2 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( $true
= ( 'const/arith/<=' @ X1 @ X3 ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ ( X2 @ Y0 ) ) @ ( 'const/realax/real_sub' @ ( sK1 @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK1 @ ( X0 @ Y0 ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f94]) ).
thf(f94,plain,
! [X2: 'type/nums/num' > 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X1 @ X3 ) )
| ( ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( X0 @ X1 ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ ( X2 @ Y0 ) ) @ ( 'const/realax/real_sub' @ ( sK1 @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK1 @ ( X0 @ Y0 ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( X2 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK0 @ ( X2 @ Y0 ) ) ) )
@ ( sK5 @ X0 @ X2 ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) )
@ ( sK5 @ X0 @ X2 ) ) )
| ( ( X0 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= sK3 )
| ( ( X2 @ X1 )
!= sK2 )
| ( ( X2 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( $true
= ( 'const/arith/<=' @ X1 @ X3 ) ) ),
inference(negative_extensionality,[status(thm)],[f70]) ).
thf(f70,plain,
! [X2: 'type/nums/num' > 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( X2 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK0 @ ( X2 @ Y0 ) ) ) ) ) )
| ( ( X2 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( X0 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= sK3 )
| ( ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( X0 @ X1 ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ ( X2 @ Y0 ) ) @ ( 'const/realax/real_sub' @ ( sK1 @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( sK1 @ ( X0 @ Y0 ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( ( X2 @ X1 )
!= sK2 )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X1 @ X3 ) )
| ( $true
= ( 'const/arith/<=' @ X1 @ X3 ) )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f62]) ).
thf(f62,plain,
! [X2: 'type/nums/num' > 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num'] :
( ( $true
= ( 'const/arith/<=' @ X1 @ X3 ) )
| ( ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
!= ( X0 @ X1 ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] :
( 'const/realax/real_mul'
@ ( ^ [Y1: 'type/nums/num'] : ( sK0 @ ( X2 @ Y1 ) )
@ Y0 )
@ ( 'const/realax/real_sub'
@ ( ^ [Y1: 'type/nums/num'] : ( sK1 @ ( X0 @ Y1 ) )
@ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
@ ( ^ [Y1: 'type/nums/num'] : ( sK1 @ ( X0 @ Y1 ) )
@ Y0 ) ) ) ) )
| ( ( X2 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
| ( ( X0 @ ( 'const/arith/+' @ X3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= sK3 )
| ( ( X2 @ X1 )
!= sK2 )
| ( ( 'const/iterate/..' @ sK2 @ sK3 )
!= ( 'const/iterate/..' @ X1 @ X3 ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] :
( 'const/realax/real_mul'
@ ( ^ [Y1: 'type/nums/num'] : ( sK1 @ ( X0 @ Y1 ) )
@ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
@ ( 'const/realax/real_sub'
@ ( ^ [Y1: 'type/nums/num'] : ( sK0 @ ( X2 @ Y1 ) )
@ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
@ ( ^ [Y1: 'type/nums/num'] : ( sK0 @ ( X2 @ Y1 ) )
@ Y0 ) ) ) ) )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) ) ),
inference(equality_resolution,[status(thm)],[f35]) ).
thf(f35,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( ( '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/realax/real_sub' @ ( 'const/realax/real_mul' @ ( sK0 @ ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK1 @ sK3 ) ) @ ( 'const/realax/real_mul' @ ( sK0 @ sK2 ) @ ( sK1 @ ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
| ( ( 'const/iterate/..' @ X2 @ X3 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) ) )
!= ( ^ [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' @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X0 @ Y0 ) ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ Y0 ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( ( 'const/arith/<=' @ X2 @ X3 )
= $true )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f34]) ).
thf(f34,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( ( 'const/iterate/..' @ X2 @ X3 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X1 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X1 @ Y0 ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) ) )
| ( ( '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/realax/real_sub' @ ( 'const/realax/real_mul' @ ( sK0 @ ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK1 @ sK3 ) ) @ ( 'const/realax/real_mul' @ ( sK0 @ sK2 ) @ ( sK1 @ ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
| ( ( 'const/iterate/..' @ X2 @ X3 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) ) )
!= ( ^ [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' @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X0 @ Y0 ) ) ) ) )
| ( ( 'const/arith/<=' @ X2 @ X3 )
= $true ) ),
inference(equality_resolution,[status(thm)],[f31]) ).
thf(f31,plain,
! [X2: 'type/nums/num' > 'type/realax/real',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num'] :
( ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK2 @ sK3 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK1 @ Y0 ) @ ( sK1 @ ( 'const/arith/-' @ Y0 @ ( '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' @ ( X0 @ Y0 ) @ ( 'const/realax/real_sub' @ ( X2 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X2 @ Y0 ) ) ) ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( sK1 @ Y0 ) @ ( 'const/realax/real_sub' @ ( sK0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK0 @ Y0 ) ) ) )
!= ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X2 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( 'const/realax/real_sub' @ ( X0 @ ( 'const/arith/+' @ Y0 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X0 @ Y0 ) ) ) ) )
| ( $true
= ( 'const/arith/<=' @ X3 @ X1 ) )
| ( ( 'const/iterate/..' @ X3 @ X1 )
!= ( 'const/iterate/..' @ sK2 @ sK3 ) )
| ( $true
= ( 'const/arith/<=' @ sK2 @ sK3 ) )
| ( ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( sK0 @ ( 'const/arith/+' @ sK3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( sK1 @ sK3 ) ) @ ( 'const/realax/real_mul' @ ( sK0 @ sK2 ) @ ( sK1 @ ( 'const/arith/-' @ sK2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
!= ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( X0 @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( X2 @ ( 'const/arith/+' @ X1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_mul' @ ( X0 @ X3 ) @ ( X2 @ X3 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ANA116^1 : TPTP v9.2.1. Released v7.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.29 % Computer : n023.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Feb 24 03:52:19 EST 2026
% 0.10/0.29 % CPUTime :
% 0.10/0.29 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.38 ---- Original DTF file ---
% 0.17/0.38 thf(spec,logic,$$dhol).
% 0.17/0.38 %------------------------------------------------------------------------------
% 0.17/0.38 % File : ANA116^1 : TPTP v9.2.1. Released v7.0.0.
% 0.17/0.38 % Domain : Analysis
% 0.17/0.38 % Problem : SUM_PARTIAL_PRE
% 0.17/0.38 % Version : Especial.
% 0.17/0.38 % English :
% 0.17/0.38
% 0.17/0.38 % Refs : [Kal16] Kalisyk (2016), Email to Geoff Sutcliffe
% 0.17/0.38 % Source : [Kal16]
% 0.17/0.38 % Names : SUM_PARTIAL_PRE_.p [Kal16]
% 0.17/0.38
% 0.17/0.38 % Status : Theorem
% 0.17/0.38 % Rating : 0.33 v9.1.0, 0.67 v9.0.0, 1.00 v7.5.0, 0.67 v7.2.0, 0.75 v7.1.0
% 0.17/0.38 % Syntax : Number of formulae : 17 ( 3 unt; 14 typ; 0 def)
% 0.17/0.38 % Number of atoms : 9 ( 3 equ; 0 cnn)
% 0.17/0.38 % Maximal formula atoms : 1 ( 3 avg)
% 0.17/0.38 % Number of connectives : 128 ( 0 ~; 0 |; 0 &; 128 @)
% 0.17/0.38 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.17/0.38 % Maximal formula depth : 5 ( 4 avg)
% 0.17/0.38 % Number of types : 3 ( 2 usr)
% 0.17/0.38 % Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% 0.17/0.38 % Number of symbols : 13 ( 12 usr; 1 con; 0-4 aty)
% 0.17/0.38 % Number of variables : 16 ( 4 ^; 10 !; 0 ?; 16 :)
% 0.17/0.38 % ( 2 !>; 0 ?*; 0 @-; 0 @+)
% 0.17/0.38 % SPC : TH1_THM_EQU_NAR
% 0.17/0.38
% 0.17/0.38 % Comments : Exported from core HOL Light.
% 0.17/0.38 %------------------------------------------------------------------------------
% 0.17/0.38 thf('thf_type_type/realax/real',type,
% 0.17/0.38 'type/realax/real': $tType ).
% 0.17/0.38
% 0.17/0.38 thf('thf_type_type/nums/num',type,
% 0.17/0.38 'type/nums/num': $tType ).
% 0.17/0.38
% 0.17/0.38 thf('thf_const_const/realax/real_sub',type,
% 0.17/0.38 'const/realax/real_sub': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
% 0.17/0.38
% 0.17/0.38 thf('thf_const_const/realax/real_of_num',type,
% 0.17/0.38 'const/realax/real_of_num': 'type/nums/num' > 'type/realax/real' ).
% 0.17/0.38
% 0.17/0.38 thf('thf_const_const/realax/real_mul',type,
% 0.17/0.38 'const/realax/real_mul': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
% 0.17/0.38
% 0.17/0.38 thf('thf_const_const/nums/NUMERAL',type,
% 0.17/0.38 'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num' ).
% 0.17/0.38
% 0.17/0.38 thf('thf_const_const/nums/BIT1',type,
% 0.17/0.38 'const/nums/BIT1': 'type/nums/num' > 'type/nums/num' ).
% 0.17/0.38
% 0.17/0.38 thf('thf_const_const/nums/_0',type,
% 0.17/0.38 'const/nums/_0': 'type/nums/num' ).
% 0.17/0.38
% 0.17/0.38 thf('thf_const_const/iterate/sum',type,
% 0.17/0.38 'const/iterate/sum':
% 0.17/0.38 !>[A: $tType] : ( ( A > $o ) > ( A > 'type/realax/real' ) > 'type/realax/real' ) ).
% 0.17/0.38
% 0.17/0.38 thf('thf_const_const/iterate/..',type,
% 0.17/0.38 'const/iterate/..': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' > $o ).
% 0.17/0.38
% 0.17/0.38 thf('thf_const_const/class/COND',type,
% 0.17/0.38 'const/class/COND':
% 0.17/0.38 !>[A: $tType] : ( $o > A > A > A ) ).
% 0.17/0.38
% 0.17/0.38 thf('thf_const_const/arith/+',type,
% 0.17/0.38 'const/arith/+': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ).
% 0.17/0.38
% 0.17/0.38 thf('thf_const_const/arith/-',type,
% 0.17/0.38 'const/arith/-': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ).
% 0.17/0.38
% 0.17/0.38 thf('thf_const_const/arith/<=',type,
% 0.17/0.38 'const/arith/<=': 'type/nums/num' > 'type/nums/num' > $o ).
% 0.17/0.38
% 0.17/0.38 thf('thm/arith/ADD_SUB_',axiom,
% 0.17/0.38 ! [A: 'type/nums/num',A0: 'type/nums/num'] :
% 0.17/0.38 ( ( 'const/arith/-' @ ( 'const/arith/+' @ A @ A0 ) @ A0 )
% 0.17/0.38 = A ) ).
% 0.17/0.38
% 0.17/0.38 thf('thm/iterate/SUM_PARTIAL_SUC_',axiom,
% 0.17/0.38 ! [A: 'type/nums/num' > 'type/realax/real',A0: 'type/nums/num' > 'type/realax/real',A1: 'type/nums/num',A2: 'type/nums/num'] :
% 0.17/0.38 ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ A1 @ A2 )
% 0.17/0.38 @ ^ [A3: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( A @ A3 ) @ ( 'const/realax/real_sub' @ ( A0 @ ( 'const/arith/+' @ A3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( A0 @ A3 ) ) ) )
% 0.17/0.38 = ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ A1 @ A2 )
% 0.17/0.38 @ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( A @ ( 'const/arith/+' @ A2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( A0 @ ( 'const/arith/+' @ A2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_mul' @ ( A @ A1 ) @ ( A0 @ A1 ) ) )
% 0.17/0.38 @ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ A1 @ A2 )
% 0.17/0.38 @ ^ [A3: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( A0 @ ( 'const/arith/+' @ A3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( 'const/realax/real_sub' @ ( A @ ( 'const/arith/+' @ A3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( A @ A3 ) ) ) ) )
% 0.17/0.38 @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ) ).
% 0.17/0.38
% 0.17/0.38 thf('thm/iterate/SUM_PARTIAL_PRE_',conjecture,
% 0.17/0.38 ! [A: 'type/nums/num' > 'type/realax/real',A0: 'type/nums/num' > 'type/realax/real',A1: 'type/nums/num',A2: 'type/nums/num'] :
% 0.17/0.38 ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ A1 @ A2 )
% 0.17/0.38 @ ^ [A3: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( A @ A3 ) @ ( 'const/realax/real_sub' @ ( A0 @ A3 ) @ ( A0 @ ( 'const/arith/-' @ A3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
% 0.17/0.38 = ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ A1 @ A2 )
% 0.17/0.38 @ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( A @ ( 'const/arith/+' @ A2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( A0 @ A2 ) ) @ ( 'const/realax/real_mul' @ ( A @ A1 ) @ ( A0 @ ( 'const/arith/-' @ A1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
% 0.17/0.38 @ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ A1 @ A2 )
% 0.17/0.38 @ ^ [A3: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( A0 @ A3 ) @ ( 'const/realax/real_sub' @ ( A @ ( 'const/arith/+' @ A3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( A @ A3 ) ) ) ) )
% 0.17/0.38 @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ) ).
% 0.17/0.38
% 0.17/0.38 %------------------------------------------------------------------------------
% 0.17/0.38 ------------------------
% 1.69/1.31 ---- Embedded in THF ---
% 1.69/1.31 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.69/1.31 %%% Generated on Tue Feb 24 03:52:20 EST 2026
% 1.69/1.31 %%% using '$$dhol' embedding, version 1.3.0.
% 1.69/1.31 %%% Logic specification used:
% 1.69/1.31 %%% thf(spec, logic, $$dhol).
% 1.69/1.31
% 1.69/1.31 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.Epry2Cjoh7/DTF2DTF24747.p
% See solution above
% 1.69/1.31 ------------------------
% 1.69/1.32 ---- Cleaned THF ---
% 1.69/1.32 thf('thf_type_type/realax/real',type,
% 1.69/1.32 'type/realax/real': $tType ).
% 1.69/1.32
% 1.69/1.32 thf('thf_type_type/nums/num',type,
% 1.69/1.32 'type/nums/num': $tType ).
% 1.69/1.32
% 1.69/1.32 thf('thf_const_const/realax/real_sub',type,
% 1.69/1.32 'const/realax/real_sub': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
% 1.69/1.32
% 1.69/1.32 thf('thf_const_const/realax/real_of_num',type,
% 1.69/1.32 'const/realax/real_of_num': 'type/nums/num' > 'type/realax/real' ).
% 1.69/1.32
% 1.69/1.32 thf('thf_const_const/realax/real_mul',type,
% 1.69/1.32 'const/realax/real_mul': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
% 1.69/1.32
% 1.69/1.32 thf('thf_const_const/nums/NUMERAL',type,
% 1.69/1.32 'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num' ).
% 1.69/1.32
% 1.69/1.32 thf('thf_const_const/nums/BIT1',type,
% 1.69/1.32 'const/nums/BIT1': 'type/nums/num' > 'type/nums/num' ).
% 1.69/1.32
% 1.69/1.32 thf('thf_const_const/nums/_0',type,
% 1.69/1.32 'const/nums/_0': 'type/nums/num' ).
% 1.69/1.32
% 1.69/1.32 thf('thf_const_const/iterate/sum',type,
% 1.69/1.32 'const/iterate/sum':
% 1.69/1.32 !>[A: $tType] : ( ( A > $o ) > ( A > 'type/realax/real' ) > 'type/realax/real' ) ).
% 1.69/1.32
% 1.69/1.32 thf('thf_const_const/iterate/..',type,
% 1.69/1.32 'const/iterate/..': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' > $o ).
% 1.69/1.32
% 1.69/1.32 thf('thf_const_const/class/COND',type,
% 1.69/1.32 'const/class/COND':
% 1.69/1.32 !>[A: $tType] : ( $o > A > A > A ) ).
% 1.69/1.32
% 1.69/1.32 thf('thf_const_const/arith/+',type,
% 1.69/1.32 'const/arith/+': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ).
% 1.69/1.32
% 1.69/1.32 thf('thf_const_const/arith/-',type,
% 1.69/1.32 'const/arith/-': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ).
% 1.69/1.32
% 1.69/1.32 thf('thf_const_const/arith/<=',type,
% 1.69/1.32 'const/arith/<=': 'type/nums/num' > 'type/nums/num' > $o ).
% 1.69/1.32
% 1.69/1.32 thf('thm/arith/ADD_SUB_',axiom,
% 1.69/1.32 ! [A: 'type/nums/num',A0: 'type/nums/num'] :
% 1.69/1.32 ( ( 'const/arith/-' @ ( 'const/arith/+' @ A @ A0 ) @ A0 )
% 1.69/1.32 = A ) ).
% 1.69/1.32
% 1.69/1.32 thf('thm/iterate/SUM_PARTIAL_SUC_',axiom,
% 1.69/1.32 ! [A: 'type/nums/num' > 'type/realax/real',A0: 'type/nums/num' > 'type/realax/real',A1: 'type/nums/num',A2: 'type/nums/num'] :
% 1.69/1.32 ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ A1 @ A2 )
% 1.69/1.32 @ ^ [A3: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( A @ A3 ) @ ( 'const/realax/real_sub' @ ( A0 @ ( 'const/arith/+' @ A3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( A0 @ A3 ) ) ) )
% 1.69/1.32 = ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ A1 @ A2 )
% 1.69/1.32 @ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( A @ ( 'const/arith/+' @ A2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( A0 @ ( 'const/arith/+' @ A2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) @ ( 'const/realax/real_mul' @ ( A @ A1 ) @ ( A0 @ A1 ) ) )
% 1.69/1.32 @ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ A1 @ A2 )
% 1.69/1.32 @ ^ [A3: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( A0 @ ( 'const/arith/+' @ A3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( 'const/realax/real_sub' @ ( A @ ( 'const/arith/+' @ A3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( A @ A3 ) ) ) ) )
% 1.69/1.32 @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ) ).
% 1.69/1.32
% 1.69/1.32 thf('thm/iterate/SUM_PARTIAL_PRE_',conjecture,
% 1.69/1.32 ! [A: 'type/nums/num' > 'type/realax/real',A0: 'type/nums/num' > 'type/realax/real',A1: 'type/nums/num',A2: 'type/nums/num'] :
% 1.69/1.32 ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ A1 @ A2 )
% 1.69/1.32 @ ^ [A3: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( A @ A3 ) @ ( 'const/realax/real_sub' @ ( A0 @ A3 ) @ ( A0 @ ( 'const/arith/-' @ A3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) ) )
% 1.69/1.32 = ( 'const/class/COND' @ 'type/realax/real' @ ( 'const/arith/<=' @ A1 @ A2 )
% 1.69/1.32 @ ( 'const/realax/real_sub' @ ( 'const/realax/real_sub' @ ( 'const/realax/real_mul' @ ( A @ ( 'const/arith/+' @ A2 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( A0 @ A2 ) ) @ ( 'const/realax/real_mul' @ ( A @ A1 ) @ ( A0 @ ( 'const/arith/-' @ A1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ) )
% 1.69/1.32 @ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ A1 @ A2 )
% 1.69/1.32 @ ^ [A3: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( A0 @ A3 ) @ ( 'const/realax/real_sub' @ ( A @ ( 'const/arith/+' @ A3 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) @ ( A @ A3 ) ) ) ) )
% 1.69/1.32 @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ) ).
% 1.69/1.32 ------------------------
% 1.69/1.34 % (24845)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/183Mi)
% 1.69/1.34 % (24847)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/27Mi)
% 1.69/1.34 % (24848)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/2Mi)
% 1.69/1.34 % (24846)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/4Mi)
% 1.69/1.34 % (24849)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/2Mi)
% 1.69/1.34 % (24850)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/275Mi)
% 1.69/1.34 % (24851)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/18Mi)
% 1.69/1.34 % (24848)Instruction limit reached!
% 1.69/1.34 % (24848)------------------------------
% 1.69/1.34 % (24848)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.34 % (24848)Termination reason: Unknown
% 1.69/1.34 % (24848)Termination phase: Preprocessing 3
% 1.69/1.34 % (24849)Instruction limit reached!
% 1.69/1.34 % (24849)------------------------------
% 1.69/1.34 % (24849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.34 % (24849)Termination reason: Unknown
% 1.69/1.34 % (24849)Termination phase: Property scanning
% 1.69/1.34
% 1.69/1.34 % (24849)Memory used [KB]: 1023
% 1.69/1.34 % (24849)Time elapsed: 0.003 s
% 1.69/1.34 % (24849)Instructions burned: 3 (million)
% 1.69/1.34 % (24849)------------------------------
% 1.69/1.34 % (24849)------------------------------
% 1.69/1.34
% 1.69/1.34 % (24848)Memory used [KB]: 1023
% 1.69/1.34 % (24848)Time elapsed: 0.003 s
% 1.69/1.34 % (24848)Instructions burned: 3 (million)
% 1.69/1.34 % (24848)------------------------------
% 1.69/1.34 % (24848)------------------------------
% 1.69/1.35 % (24846)Instruction limit reached!
% 1.69/1.35 % (24846)------------------------------
% 1.69/1.35 % (24846)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.35 % (24846)Termination reason: Unknown
% 1.69/1.35 % (24846)Termination phase: Saturation
% 1.69/1.35
% 1.69/1.35 % (24846)Memory used [KB]: 5500
% 1.69/1.35 % (24846)Time elapsed: 0.004 s
% 1.69/1.35 % (24846)Instructions burned: 5 (million)
% 1.69/1.35 % (24846)------------------------------
% 1.69/1.35 % (24846)------------------------------
% 1.69/1.35 % (24850)Refutation not found, incomplete strategy
% 1.69/1.35 % (24850)------------------------------
% 1.69/1.35 % (24850)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.35 % (24850)Termination reason: Refutation not found, incomplete strategy
% 1.69/1.35
% 1.69/1.35
% 1.69/1.35 % (24850)Memory used [KB]: 5500
% 1.69/1.35 % (24850)Time elapsed: 0.004 s
% 1.69/1.35 % (24850)Instructions burned: 5 (million)
% 1.69/1.35 % (24850)------------------------------
% 1.69/1.35 % (24850)------------------------------
% 1.69/1.35 % (24847)Refutation not found, incomplete strategy
% 1.69/1.35 % (24847)------------------------------
% 1.69/1.35 % (24847)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.35 % (24847)Termination reason: Refutation not found, incomplete strategy
% 1.69/1.35
% 1.69/1.35
% 1.69/1.35 % (24847)Memory used [KB]: 5628
% 1.69/1.35 % (24847)Time elapsed: 0.006 s
% 1.69/1.35 % (24847)Instructions burned: 8 (million)
% 1.69/1.35 % (24847)------------------------------
% 1.69/1.35 % (24847)------------------------------
% 1.69/1.35 % (24851)Instruction limit reached!
% 1.69/1.35 % (24851)------------------------------
% 1.69/1.35 % (24851)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.35 % (24851)Termination reason: Unknown
% 1.69/1.35 % (24851)Termination phase: Saturation
% 1.69/1.35
% 1.69/1.35 % (24851)Memory used [KB]: 5628
% 1.69/1.35 % (24851)Time elapsed: 0.010 s
% 1.69/1.35 % (24851)Instructions burned: 18 (million)
% 1.69/1.35 % (24851)------------------------------
% 1.69/1.35 % (24851)------------------------------
% 1.69/1.36 % (24852)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/3Mi)
% 1.69/1.36 % (24853)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/37Mi)
% 1.69/1.36 % (24854)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/15Mi)
% 1.69/1.36 % (24852)Instruction limit reached!
% 1.69/1.36 % (24852)------------------------------
% 1.69/1.36 % (24852)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.36 % (24852)Termination reason: Unknown
% 1.69/1.36 % (24852)Termination phase: Property scanning
% 1.69/1.36
% 1.69/1.36 % (24852)Memory used [KB]: 1023
% 1.69/1.36 % (24852)Time elapsed: 0.003 s
% 1.69/1.36 % (24852)Instructions burned: 4 (million)
% 1.69/1.36 % (24852)------------------------------
% 1.69/1.36 % (24852)------------------------------
% 1.69/1.36 % (24855)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/3Mi)
% 1.69/1.36 % (24856)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/1041Mi)
% 1.69/1.36 % (24855)Instruction limit reached!
% 1.69/1.36 % (24855)------------------------------
% 1.69/1.36 % (24855)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.36 % (24855)Termination reason: Unknown
% 1.69/1.36 % (24855)Termination phase: Property scanning
% 1.69/1.36
% 1.69/1.36 % (24855)Memory used [KB]: 1023
% 1.69/1.36 % (24855)Time elapsed: 0.003 s
% 1.69/1.36 % (24855)Instructions burned: 4 (million)
% 1.69/1.36 % (24855)------------------------------
% 1.69/1.36 % (24855)------------------------------
% 1.69/1.37 % (24854)Refutation not found, incomplete strategy
% 1.69/1.37 % (24854)------------------------------
% 1.69/1.37 % (24854)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.37 % (24854)Termination reason: Refutation not found, incomplete strategy
% 1.69/1.37
% 1.69/1.37
% 1.69/1.37 % (24854)Memory used [KB]: 5628
% 1.69/1.37 % (24854)Time elapsed: 0.005 s
% 1.69/1.37 % (24854)Instructions burned: 7 (million)
% 1.69/1.37 % (24854)------------------------------
% 1.69/1.37 % (24854)------------------------------
% 1.69/1.37 % (24857)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/7Mi)
% 1.69/1.37 % (24857)Instruction limit reached!
% 1.69/1.37 % (24857)------------------------------
% 1.69/1.37 % (24857)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.37 % (24857)Termination reason: Unknown
% 1.69/1.37 % (24857)Termination phase: Saturation
% 1.69/1.37
% 1.69/1.37 % (24857)Memory used [KB]: 1151
% 1.69/1.37 % (24857)Time elapsed: 0.005 s
% 1.69/1.37 % (24857)Instructions burned: 7 (million)
% 1.69/1.37 % (24857)------------------------------
% 1.69/1.37 % (24857)------------------------------
% 1.69/1.38 % (24858)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/16Mi)
% 1.69/1.38 % (24853)Instruction limit reached!
% 1.69/1.38 % (24853)------------------------------
% 1.69/1.38 % (24853)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.38 % (24853)Termination reason: Unknown
% 1.69/1.38 % (24853)Termination phase: Saturation
% 1.69/1.38
% 1.69/1.38 % (24853)Memory used [KB]: 5884
% 1.69/1.38 % (24853)Time elapsed: 0.019 s
% 1.69/1.38 % (24853)Instructions burned: 38 (million)
% 1.69/1.38 % (24853)------------------------------
% 1.69/1.38 % (24853)------------------------------
% 1.69/1.38 % (24856)Refutation not found, incomplete strategy
% 1.69/1.38 % (24856)------------------------------
% 1.69/1.38 % (24856)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.38 % (24856)Termination reason: Refutation not found, incomplete strategy
% 1.69/1.38
% 1.69/1.38
% 1.69/1.38 % (24856)Memory used [KB]: 5756
% 1.69/1.38 % (24856)Time elapsed: 0.015 s
% 1.69/1.38 % (24856)Instructions burned: 28 (million)
% 1.69/1.38 % (24856)------------------------------
% 1.69/1.38 % (24856)------------------------------
% 1.69/1.38 % (24859)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/3Mi)
% 1.69/1.38 % (24859)Instruction limit reached!
% 1.69/1.38 % (24859)------------------------------
% 1.69/1.38 % (24859)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.38 % (24859)Termination reason: Unknown
% 1.69/1.38 % (24859)Termination phase: Property scanning
% 1.69/1.38
% 1.69/1.38 % (24859)Memory used [KB]: 1023
% 1.69/1.38 % (24859)Time elapsed: 0.003 s
% 1.69/1.38 % (24860)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/3Mi)
% 1.69/1.38 % (24859)Instructions burned: 4 (million)
% 1.69/1.38 % (24859)------------------------------
% 1.69/1.38 % (24859)------------------------------
% 1.69/1.38 % (24860)Instruction limit reached!
% 1.69/1.38 % (24860)------------------------------
% 1.69/1.38 % (24860)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.38 % (24860)Termination reason: Unknown
% 1.69/1.38 % (24860)Termination phase: Property scanning
% 1.69/1.38
% 1.69/1.38 % (24860)Memory used [KB]: 1023
% 1.69/1.38 % (24860)Time elapsed: 0.003 s
% 1.69/1.38 % (24860)Instructions burned: 4 (million)
% 1.69/1.38 % (24860)------------------------------
% 1.69/1.38 % (24860)------------------------------
% 1.69/1.39 % (24858)Instruction limit reached!
% 1.69/1.39 % (24858)------------------------------
% 1.69/1.39 % (24858)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.39 % (24858)Termination reason: Unknown
% 1.69/1.39 % (24858)Termination phase: Saturation
% 1.69/1.39
% 1.69/1.39 % (24858)Memory used [KB]: 5884
% 1.69/1.39 % (24858)Time elapsed: 0.010 s
% 1.69/1.39 % (24858)Instructions burned: 17 (million)
% 1.69/1.39 % (24858)------------------------------
% 1.69/1.39 % (24858)------------------------------
% 1.69/1.39 % (24861)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/7Mi)
% 1.69/1.39 % (24861)Instruction limit reached!
% 1.69/1.39 % (24861)------------------------------
% 1.69/1.39 % (24861)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.39 % (24861)Termination reason: Unknown
% 1.69/1.39 % (24861)Termination phase: Saturation
% 1.69/1.39
% 1.69/1.39 % (24861)Memory used [KB]: 5500
% 1.69/1.39 % (24861)Time elapsed: 0.005 s
% 1.69/1.39 % (24861)Instructions burned: 7 (million)
% 1.69/1.39 % (24861)------------------------------
% 1.69/1.39 % (24861)------------------------------
% 1.69/1.39 % (24862)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/3Mi)
% 1.69/1.39 % (24863)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/4Mi)
% 1.69/1.40 % (24862)Instruction limit reached!
% 1.69/1.40 % (24862)------------------------------
% 1.69/1.40 % (24862)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.40 % (24862)Termination reason: Unknown
% 1.69/1.40 % (24862)Termination phase: Property scanning
% 1.69/1.40
% 1.69/1.40 % (24862)Memory used [KB]: 1023
% 1.69/1.40 % (24862)Time elapsed: 0.003 s
% 1.69/1.40 % (24862)Instructions burned: 4 (million)
% 1.69/1.40 % (24862)------------------------------
% 1.69/1.40 % (24862)------------------------------
% 1.69/1.40 % (24863)Instruction limit reached!
% 1.69/1.40 % (24863)------------------------------
% 1.69/1.40 % (24863)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.40 % (24863)Termination reason: Unknown
% 1.69/1.40 % (24863)Termination phase: Property scanning
% 1.69/1.40
% 1.69/1.40 % (24863)Memory used [KB]: 1023
% 1.69/1.40 % (24863)Time elapsed: 0.003 s
% 1.69/1.40 % (24863)Instructions burned: 4 (million)
% 1.69/1.40 % (24863)------------------------------
% 1.69/1.40 % (24863)------------------------------
% 1.71/1.40 % (24864)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/18Mi)
% 1.71/1.40 % (24865)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/710Mi)
% 1.71/1.40 % (24864)Refutation not found, incomplete strategy
% 1.71/1.40 % (24864)------------------------------
% 1.71/1.40 % (24864)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.40 % (24864)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.40
% 1.71/1.40
% 1.71/1.40 % (24864)Memory used [KB]: 5628
% 1.71/1.40 % (24864)Time elapsed: 0.005 s
% 1.71/1.40 % (24864)Instructions burned: 7 (million)
% 1.71/1.40 % (24864)------------------------------
% 1.71/1.40 % (24864)------------------------------
% 1.71/1.40 % (24866)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/6Mi)
% 1.71/1.41 % (24866)Instruction limit reached!
% 1.71/1.41 % (24866)------------------------------
% 1.71/1.41 % (24866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.41 % (24866)Termination reason: Unknown
% 1.71/1.41 % (24866)Termination phase: Saturation
% 1.71/1.41
% 1.71/1.41 % (24866)Memory used [KB]: 5628
% 1.71/1.41 % (24866)Time elapsed: 0.005 s
% 1.71/1.41 % (24866)Instructions burned: 6 (million)
% 1.71/1.41 % (24866)------------------------------
% 1.71/1.41 % (24866)------------------------------
% 1.71/1.41 % (24867)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/902Mi)
% 1.71/1.41 % (24867)Refutation not found, incomplete strategy
% 1.71/1.41 % (24867)------------------------------
% 1.71/1.41 % (24867)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.41 % (24867)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.41
% 1.71/1.41
% 1.71/1.41 % (24867)Memory used [KB]: 5500
% 1.71/1.41 % (24867)Time elapsed: 0.004 s
% 1.71/1.41 % (24867)Instructions burned: 5 (million)
% 1.71/1.41 % (24867)------------------------------
% 1.71/1.41 % (24867)------------------------------
% 1.71/1.41 % (24868)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/21Mi)
% 1.71/1.41 % (24869)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/5Mi)
% 1.71/1.41 % (24869)Instruction limit reached!
% 1.71/1.41 % (24869)------------------------------
% 1.71/1.41 % (24869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.41 % (24869)Termination reason: Unknown
% 1.71/1.41 % (24869)Termination phase: Saturation
% 1.71/1.41
% 1.71/1.41 % (24869)Memory used [KB]: 5500
% 1.71/1.41 % (24869)Time elapsed: 0.004 s
% 1.71/1.41 % (24869)Instructions burned: 5 (million)
% 1.71/1.41 % (24869)------------------------------
% 1.71/1.41 % (24869)------------------------------
% 1.71/1.42 % (24870)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/6Mi)
% 1.71/1.42 % (24870)Instruction limit reached!
% 1.71/1.42 % (24870)------------------------------
% 1.71/1.42 % (24870)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.42 % (24870)Termination reason: Unknown
% 1.71/1.42 % (24870)Termination phase: Saturation
% 1.71/1.42
% 1.71/1.42 % (24870)Memory used [KB]: 5500
% 1.71/1.42 % (24870)Time elapsed: 0.004 s
% 1.71/1.42 % (24870)Instructions burned: 6 (million)
% 1.71/1.42 % (24870)------------------------------
% 1.71/1.42 % (24870)------------------------------
% 1.71/1.42 % (24871)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/377Mi)
% 1.71/1.42 % (24868)Instruction limit reached!
% 1.71/1.42 % (24868)------------------------------
% 1.71/1.42 % (24868)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.42 % (24868)Termination reason: Unknown
% 1.71/1.42 % (24868)Termination phase: Saturation
% 1.71/1.42
% 1.71/1.42 % (24868)Memory used [KB]: 5628
% 1.71/1.42 % (24868)Time elapsed: 0.013 s
% 1.71/1.42 % (24868)Instructions burned: 22 (million)
% 1.71/1.42 % (24868)------------------------------
% 1.71/1.42 % (24868)------------------------------
% 1.71/1.43 % (24872)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/779Mi)
% 1.71/1.43 % (24845)Instruction limit reached!
% 1.71/1.43 % (24845)------------------------------
% 1.71/1.43 % (24845)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.43 % (24845)Termination reason: Unknown
% 1.71/1.43 % (24845)Termination phase: Saturation
% 1.71/1.43
% 1.71/1.43 % (24845)Memory used [KB]: 7036
% 1.71/1.43 % (24845)Time elapsed: 0.085 s
% 1.71/1.43 % (24845)Instructions burned: 184 (million)
% 1.71/1.43 % (24845)------------------------------
% 1.71/1.43 % (24845)------------------------------
% 1.71/1.43 % (24871)Refutation not found, incomplete strategy
% 1.71/1.43 % (24871)------------------------------
% 1.71/1.43 % (24871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.43 % (24871)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.43
% 1.71/1.43
% 1.71/1.43 % (24871)Memory used [KB]: 5628
% 1.71/1.43 % (24871)Time elapsed: 0.008 s
% 1.71/1.43 % (24871)Instructions burned: 11 (million)
% 1.71/1.43 % (24871)------------------------------
% 1.71/1.43 % (24871)------------------------------
% 1.71/1.43 % (24873)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/19Mi)
% 1.71/1.44 % (24873)Refutation not found, incomplete strategy
% 1.71/1.44 % (24873)------------------------------
% 1.71/1.44 % (24873)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.44 % (24873)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.44
% 1.71/1.44
% 1.71/1.44 % (24873)Memory used [KB]: 5628
% 1.71/1.44 % (24873)Time elapsed: 0.006 s
% 1.71/1.44 % (24873)Instructions burned: 10 (million)
% 1.71/1.44 % (24873)------------------------------
% 1.71/1.44 % (24873)------------------------------
% 1.71/1.44 % (24874)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/879Mi)
% 1.71/1.44 % (24875)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/17Mi)
% 1.71/1.44 % (24874)Refutation not found, incomplete strategy
% 1.71/1.44 % (24874)------------------------------
% 1.71/1.44 % (24874)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.44 % (24874)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.44
% 1.71/1.44
% 1.71/1.44 % (24874)Memory used [KB]: 5628
% 1.71/1.44 % (24874)Time elapsed: 0.006 s
% 1.71/1.44 % (24874)Instructions burned: 7 (million)
% 1.71/1.44 % (24874)------------------------------
% 1.71/1.44 % (24874)------------------------------
% 1.71/1.44 % (24876)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/3Mi)
% 1.71/1.44 % (24876)Instruction limit reached!
% 1.71/1.44 % (24876)------------------------------
% 1.71/1.44 % (24876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.44 % (24876)Termination reason: Unknown
% 1.71/1.44 % (24876)Termination phase: Property scanning
% 1.71/1.44
% 1.71/1.44 % (24876)Memory used [KB]: 1023
% 1.71/1.44 % (24876)Time elapsed: 0.003 s
% 1.71/1.44 % (24876)Instructions burned: 4 (million)
% 1.71/1.44 % (24876)------------------------------
% 1.71/1.44 % (24876)------------------------------
% 1.71/1.44 % (24877)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/30Mi)
% 1.71/1.45 % (24875)Instruction limit reached!
% 1.71/1.45 % (24875)------------------------------
% 1.71/1.45 % (24875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.45 % (24875)Termination reason: Unknown
% 1.71/1.45 % (24875)Termination phase: Saturation
% 1.71/1.45
% 1.71/1.45 % (24875)Memory used [KB]: 5756
% 1.71/1.45 % (24875)Time elapsed: 0.010 s
% 1.71/1.45 % (24875)Instructions burned: 18 (million)
% 1.71/1.45 % (24875)------------------------------
% 1.71/1.45 % (24875)------------------------------
% 1.71/1.45 % (24878)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_24747 for (2999ds/127Mi)
% 1.71/1.46 % (24879)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_24747 for (2998ds/100Mi)
% 1.71/1.46 % (24877)Instruction limit reached!
% 1.71/1.46 % (24877)------------------------------
% 1.71/1.46 % (24877)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.46 % (24877)Termination reason: Unknown
% 1.71/1.46 % (24877)Termination phase: Saturation
% 1.71/1.46
% 1.71/1.46 % (24877)Memory used [KB]: 5756
% 1.71/1.46 % (24877)Time elapsed: 0.016 s
% 1.71/1.46 % (24877)Instructions burned: 31 (million)
% 1.71/1.46 % (24877)------------------------------
% 1.71/1.46 % (24877)------------------------------
% 1.71/1.46 % (24880)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_24747 for (2998ds/3Mi)
% 1.71/1.46 % (24880)Instruction limit reached!
% 1.71/1.46 % (24880)------------------------------
% 1.71/1.46 % (24880)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.46 % (24880)Termination reason: Unknown
% 1.71/1.46 % (24880)Termination phase: Property scanning
% 1.71/1.46
% 1.71/1.46 % (24880)Memory used [KB]: 1023
% 1.71/1.46 % (24880)Time elapsed: 0.003 s
% 1.71/1.46 % (24880)Instructions burned: 4 (million)
% 1.71/1.46 % (24880)------------------------------
% 1.71/1.46 % (24880)------------------------------
% 1.71/1.46 % (24879)Refutation not found, incomplete strategy
% 1.71/1.46 % (24879)------------------------------
% 1.71/1.46 % (24879)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.46 % (24879)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.46
% 1.71/1.46
% 1.71/1.46 % (24879)Memory used [KB]: 5628
% 1.71/1.46 % (24879)Time elapsed: 0.006 s
% 1.71/1.46 % (24879)Instructions burned: 9 (million)
% 1.71/1.46 % (24879)------------------------------
% 1.71/1.46 % (24879)------------------------------
% 1.71/1.46 % (24881)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_24747 for (2998ds/20Mi)
% 1.71/1.47 % (24881)Refutation not found, incomplete strategy
% 1.71/1.47 % (24881)------------------------------
% 1.71/1.47 % (24881)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.47 % (24881)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.47
% 1.71/1.47
% 1.71/1.47 % (24881)Memory used [KB]: 5628
% 1.71/1.47 % (24881)Time elapsed: 0.006 s
% 1.71/1.47 % (24881)Instructions burned: 9 (million)
% 1.71/1.47 % (24881)------------------------------
% 1.71/1.47 % (24881)------------------------------
% 1.71/1.48 % (24882)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_24747 for (2998ds/86Mi)
% 1.71/1.48 % (24883)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_24747 for (2998ds/107Mi)
% 1.71/1.48 % (24884)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_24747 for (2998ds/39Mi)
% 1.71/1.48 % (24883)Refutation not found, incomplete strategy
% 1.71/1.48 % (24883)------------------------------
% 1.71/1.48 % (24883)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.48 % (24883)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.48
% 1.71/1.48
% 1.71/1.48 % (24883)Memory used [KB]: 5628
% 1.71/1.48 % (24883)Time elapsed: 0.006 s
% 1.71/1.48 % (24883)Instructions burned: 7 (million)
% 1.71/1.48 % (24883)------------------------------
% 1.71/1.48 % (24883)------------------------------
% 1.71/1.49 % (24885)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_24747 for (2998ds/448Mi)
% 1.71/1.50 % (24884)Instruction limit reached!
% 1.71/1.50 % (24884)------------------------------
% 1.71/1.50 % (24884)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.50 % (24884)Termination reason: Unknown
% 1.71/1.50 % (24884)Termination phase: Saturation
% 1.71/1.50
% 1.71/1.50 % (24884)Memory used [KB]: 5884
% 1.71/1.50 % (24884)Time elapsed: 0.020 s
% 1.71/1.50 % (24884)Instructions burned: 39 (million)
% 1.71/1.50 % (24884)------------------------------
% 1.71/1.50 % (24884)------------------------------
% 1.71/1.50 % (24886)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_24747 for (2998ds/46Mi)
% 1.71/1.51 % (24878)Instruction limit reached!
% 1.71/1.51 % (24878)------------------------------
% 1.71/1.51 % (24878)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.51 % (24878)Termination reason: Unknown
% 1.71/1.51 % (24878)Termination phase: Saturation
% 1.71/1.51
% 1.71/1.51 % (24878)Memory used [KB]: 6012
% 1.71/1.51 % (24878)Time elapsed: 0.061 s
% 1.71/1.51 % (24878)Instructions burned: 127 (million)
% 1.71/1.51 % (24878)------------------------------
% 1.71/1.51 % (24878)------------------------------
% 1.71/1.51 % (24887)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_24747 for (2998ds/98Mi)
% 1.71/1.52 % (24882)Instruction limit reached!
% 1.71/1.52 % (24882)------------------------------
% 1.71/1.52 % (24882)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.52 % (24882)Termination reason: Unknown
% 1.71/1.52 % (24882)Termination phase: Saturation
% 1.71/1.52
% 1.71/1.52 % (24882)Memory used [KB]: 5884
% 1.71/1.52 % (24882)Time elapsed: 0.043 s
% 1.71/1.52 % (24882)Instructions burned: 86 (million)
% 1.71/1.52 % (24882)------------------------------
% 1.71/1.52 % (24882)------------------------------
% 1.71/1.52 % (24886)Instruction limit reached!
% 1.71/1.52 % (24886)------------------------------
% 1.71/1.52 % (24886)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.52 % (24886)Termination reason: Unknown
% 1.71/1.52 % (24886)Termination phase: Saturation
% 1.71/1.52
% 1.71/1.52 % (24886)Memory used [KB]: 5884
% 1.71/1.52 % (24886)Time elapsed: 0.026 s
% 1.71/1.52 % (24886)Instructions burned: 47 (million)
% 1.71/1.52 % (24886)------------------------------
% 1.71/1.52 % (24886)------------------------------
% 1.71/1.52 % (24887)Refutation not found, incomplete strategy
% 1.71/1.52 % (24887)------------------------------
% 1.71/1.52 % (24887)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.52 % (24887)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.52
% 1.71/1.52
% 1.71/1.52 % (24887)Memory used [KB]: 1279
% 1.71/1.52 % (24887)Time elapsed: 0.012 s
% 1.71/1.52 % (24887)Instructions burned: 22 (million)
% 1.71/1.52 % (24887)------------------------------
% 1.71/1.52 % (24887)------------------------------
% 1.71/1.53 % (24888)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_24747 for (2998ds/507Mi)
% 1.71/1.53 % (24888)Refutation not found, incomplete strategy
% 1.71/1.53 % (24888)------------------------------
% 1.71/1.53 % (24888)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.53 % (24888)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.53
% 1.71/1.53
% 1.71/1.53 % (24888)Memory used [KB]: 5500
% 1.71/1.53 % (24888)Time elapsed: 0.005 s
% 1.71/1.53 % (24888)Instructions burned: 7 (million)
% 1.71/1.53 % (24888)------------------------------
% 1.71/1.53 % (24888)------------------------------
% 1.71/1.53 % (24889)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_24747 for (2998ds/149Mi)
% 1.71/1.54 % (24890)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_24747 for (2998ds/39Mi)
% 1.71/1.54 % (24891)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_24747 for (2998ds/6Mi)
% 1.71/1.54 % (24890)Refutation not found, incomplete strategy
% 1.71/1.54 % (24890)------------------------------
% 1.71/1.54 % (24890)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.54 % (24890)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.54
% 1.71/1.54
% 1.71/1.54 % (24890)Memory used [KB]: 5500
% 1.71/1.54 % (24890)Time elapsed: 0.005 s
% 1.71/1.54 % (24890)Instructions burned: 7 (million)
% 1.71/1.54 % (24890)------------------------------
% 1.71/1.54 % (24890)------------------------------
% 1.71/1.54 % (24891)Instruction limit reached!
% 1.71/1.54 % (24891)------------------------------
% 1.71/1.54 % (24891)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.54 % (24891)Termination reason: Unknown
% 1.71/1.54 % (24891)Termination phase: Saturation
% 1.71/1.54
% 1.71/1.54 % (24891)Memory used [KB]: 9978
% 1.71/1.54 % (24891)Time elapsed: 0.005 s
% 1.71/1.54 % (24891)Instructions burned: 6 (million)
% 1.71/1.54 % (24891)------------------------------
% 1.71/1.54 % (24891)------------------------------
% 1.71/1.55 % (24892)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_24747 for (2997ds/1087Mi)
% 1.71/1.55 % (24892)Refutation not found, incomplete strategy
% 1.71/1.55 % (24892)------------------------------
% 1.71/1.55 % (24892)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.55 % (24892)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.55
% 1.71/1.55
% 1.71/1.55 % (24892)Memory used [KB]: 5628
% 1.71/1.55 % (24892)Time elapsed: 0.006 s
% 1.71/1.55 % (24892)Instructions burned: 9 (million)
% 1.71/1.55 % (24892)------------------------------
% 1.71/1.55 % (24892)------------------------------
% 1.71/1.56 % (24893)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_24747 for (2997ds/47Mi)
% 1.71/1.56 % (24894)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_24747 for (2997ds/44Mi)
% 1.71/1.57 % (24895)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_24747 for (2997ds/432Mi)
% 1.71/1.58 % (24894)Instruction limit reached!
% 1.71/1.58 % (24894)------------------------------
% 1.71/1.58 % (24894)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.58 % (24894)Termination reason: Unknown
% 1.71/1.58 % (24894)Termination phase: Saturation
% 1.71/1.58
% 1.71/1.58 % (24894)Memory used [KB]: 1535
% 1.71/1.58 % (24894)Time elapsed: 0.022 s
% 1.71/1.58 % (24894)Instructions burned: 44 (million)
% 1.71/1.58 % (24894)------------------------------
% 1.71/1.58 % (24894)------------------------------
% 1.71/1.58 % (24893)Instruction limit reached!
% 1.71/1.58 % (24893)------------------------------
% 1.71/1.58 % (24893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.58 % (24893)Termination reason: Unknown
% 1.71/1.58 % (24893)Termination phase: Saturation
% 1.71/1.58
% 1.71/1.58 % (24893)Memory used [KB]: 5756
% 1.71/1.58 % (24893)Time elapsed: 0.024 s
% 1.71/1.58 % (24893)Instructions burned: 49 (million)
% 1.71/1.58 % (24893)------------------------------
% 1.71/1.58 % (24893)------------------------------
% 1.71/1.60 % (24896)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_24747 for (2997ds/62Mi)
% 1.71/1.60 % (24897)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_24747 for (2997ds/31Mi)
% 1.71/1.61 % (24889)Instruction limit reached!
% 1.71/1.61 % (24889)------------------------------
% 1.71/1.61 % (24889)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.61 % (24889)Termination reason: Unknown
% 1.71/1.61 % (24889)Termination phase: Saturation
% 1.71/1.61
% 1.71/1.61 % (24889)Memory used [KB]: 6268
% 1.71/1.61 % (24889)Time elapsed: 0.096 s
% 1.71/1.61 % (24889)Instructions burned: 150 (million)
% 1.71/1.61 % (24889)------------------------------
% 1.71/1.61 % (24889)------------------------------
% 1.71/1.61 % (24897)Instruction limit reached!
% 1.71/1.61 % (24897)------------------------------
% 1.71/1.61 % (24897)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.61 % (24897)Termination reason: Unknown
% 1.71/1.61 % (24897)Termination phase: Saturation
% 1.71/1.61
% 1.71/1.61 % (24897)Memory used [KB]: 5756
% 1.71/1.61 % (24897)Time elapsed: 0.016 s
% 1.71/1.61 % (24897)Instructions burned: 31 (million)
% 1.71/1.61 % (24897)------------------------------
% 1.71/1.61 % (24897)------------------------------
% 1.71/1.62 % (24898)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_24747 for (2997ds/96Mi)
% 1.71/1.63 % (24896)Instruction limit reached!
% 1.71/1.63 % (24896)------------------------------
% 1.71/1.63 % (24896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.63 % (24896)Termination reason: Unknown
% 1.71/1.63 % (24896)Termination phase: Saturation
% 1.71/1.63
% 1.71/1.63 % (24896)Memory used [KB]: 6012
% 1.71/1.63 % (24896)Time elapsed: 0.032 s
% 1.71/1.63 % (24896)Instructions burned: 63 (million)
% 1.71/1.63 % (24896)------------------------------
% 1.71/1.63 % (24896)------------------------------
% 1.71/1.63 % (24899)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_24747 for (2997ds/453Mi)
% 1.71/1.64 % (24899)Refutation not found, incomplete strategy
% 1.71/1.64 % (24899)------------------------------
% 1.71/1.64 % (24899)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.64 % (24899)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.64
% 1.71/1.64
% 1.71/1.64 % (24899)Memory used [KB]: 5756
% 1.71/1.64 % (24899)Time elapsed: 0.012 s
% 1.71/1.64 % (24899)Instructions burned: 22 (million)
% 1.71/1.64 % (24899)------------------------------
% 1.71/1.64 % (24899)------------------------------
% 1.71/1.64 % (24900)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_24747 for (2997ds/71Mi)
% 1.71/1.65 % (24901)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_24747 for (2996ds/83Mi)
% 1.71/1.67 % (24898)Instruction limit reached!
% 1.71/1.67 % (24898)------------------------------
% 1.71/1.67 % (24898)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.67 % (24898)Termination reason: Unknown
% 1.71/1.67 % (24898)Termination phase: Saturation
% 1.71/1.67
% 1.71/1.67 % (24898)Memory used [KB]: 6012
% 1.71/1.67 % (24898)Time elapsed: 0.046 s
% 1.71/1.67 % (24898)Instructions burned: 96 (million)
% 1.71/1.67 % (24898)------------------------------
% 1.71/1.67 % (24898)------------------------------
% 1.71/1.68 % (24900)Instruction limit reached!
% 1.71/1.68 % (24900)------------------------------
% 1.71/1.68 % (24900)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.68 % (24900)Termination reason: Unknown
% 1.71/1.68 % (24900)Termination phase: Saturation
% 1.71/1.68
% 1.71/1.68 % (24900)Memory used [KB]: 6012
% 1.71/1.68 % (24900)Time elapsed: 0.036 s
% 1.71/1.68 % (24900)Instructions burned: 71 (million)
% 1.71/1.68 % (24900)------------------------------
% 1.71/1.68 % (24900)------------------------------
% 1.71/1.68 % (24902)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_24747 for (2996ds/11Mi)
% 1.71/1.69 % (24902)Instruction limit reached!
% 1.71/1.69 % (24902)------------------------------
% 1.71/1.69 % (24902)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.69 % (24902)Termination reason: Unknown
% 1.71/1.69 % (24902)Termination phase: Saturation
% 1.71/1.69
% 1.71/1.69 % (24902)Memory used [KB]: 5628
% 1.71/1.69 % (24902)Time elapsed: 0.007 s
% 1.71/1.69 % (24902)Instructions burned: 12 (million)
% 1.71/1.69 % (24902)------------------------------
% 1.71/1.69 % (24902)------------------------------
% 1.71/1.69 % (24885)Instruction limit reached!
% 1.71/1.69 % (24885)------------------------------
% 1.71/1.69 % (24885)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.69 % (24885)Termination reason: Unknown
% 1.71/1.69 % (24885)Termination phase: Saturation
% 1.71/1.69
% 1.71/1.69 % (24885)Memory used [KB]: 6524
% 1.71/1.69 % (24885)Time elapsed: 0.207 s
% 1.71/1.69 % (24885)Instructions burned: 449 (million)
% 1.71/1.69 % (24885)------------------------------
% 1.71/1.69 % (24885)------------------------------
% 1.71/1.69 % (24903)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_24747 for (2996ds/41Mi)
% 1.71/1.69 % (24901)Instruction limit reached!
% 1.71/1.69 % (24901)------------------------------
% 1.71/1.69 % (24901)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.69 % (24901)Termination reason: Unknown
% 1.71/1.69 % (24901)Termination phase: Saturation
% 1.71/1.69
% 1.71/1.69 % (24901)Memory used [KB]: 5884
% 1.71/1.69 % (24901)Time elapsed: 0.041 s
% 1.71/1.69 % (24901)Instructions burned: 84 (million)
% 1.71/1.69 % (24901)------------------------------
% 1.71/1.69 % (24901)------------------------------
% 1.71/1.70 % (24903)Refutation not found, incomplete strategy
% 1.71/1.70 % (24903)------------------------------
% 1.71/1.70 % (24903)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.70 % (24903)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.70
% 1.71/1.70
% 1.71/1.70 % (24903)Memory used [KB]: 5628
% 1.71/1.70 % (24903)Time elapsed: 0.008 s
% 1.71/1.70 % (24903)Instructions burned: 14 (million)
% 1.71/1.70 % (24903)------------------------------
% 1.71/1.70 % (24903)------------------------------
% 1.71/1.70 % (24904)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_24747 for (2996ds/6Mi)
% 1.71/1.71 % (24905)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_24747 for (2996ds/150Mi)
% 1.71/1.71 % (24904)Instruction limit reached!
% 1.71/1.71 % (24904)------------------------------
% 1.71/1.71 % (24904)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.71 % (24904)Termination reason: Unknown
% 1.71/1.71 % (24904)Termination phase: Saturation
% 1.71/1.71
% 1.71/1.71 % (24904)Memory used [KB]: 5628
% 1.71/1.71 % (24904)Time elapsed: 0.005 s
% 1.71/1.71 % (24904)Instructions burned: 7 (million)
% 1.71/1.71 % (24904)------------------------------
% 1.71/1.71 % (24904)------------------------------
% 1.71/1.71 % (24906)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_24747 for (2996ds/343Mi)
% 1.71/1.71 % (24906)Refutation not found, incomplete strategy
% 1.71/1.71 % (24906)------------------------------
% 1.71/1.71 % (24906)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.71 % (24906)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.71
% 1.71/1.71
% 1.71/1.71 % (24906)Memory used [KB]: 5628
% 1.71/1.71 % (24906)Time elapsed: 0.006 s
% 1.71/1.71 % (24906)Instructions burned: 9 (million)
% 1.71/1.71 % (24906)------------------------------
% 1.71/1.71 % (24906)------------------------------
% 1.71/1.72 % (24907)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_24747 for (2996ds/109Mi)
% 1.71/1.72 % (24865)Instruction limit reached!
% 1.71/1.72 % (24865)------------------------------
% 1.71/1.72 % (24865)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.72 % (24908)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_24747 for (2996ds/253Mi)
% 1.71/1.72 % (24865)Termination reason: Unknown
% 1.71/1.72 % (24865)Termination phase: Saturation
% 1.71/1.72
% 1.71/1.72 % (24865)Memory used [KB]: 7675
% 1.71/1.72 % (24865)Time elapsed: 0.325 s
% 1.71/1.72 % (24865)Instructions burned: 710 (million)
% 1.71/1.72 % (24865)------------------------------
% 1.71/1.72 % (24865)------------------------------
% 1.71/1.73 % (24908)Refutation not found, incomplete strategy
% 1.71/1.73 % (24908)------------------------------
% 1.71/1.73 % (24908)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.73 % (24908)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.73
% 1.71/1.73
% 1.71/1.73 % (24908)Memory used [KB]: 5628
% 1.71/1.73 % (24908)Time elapsed: 0.006 s
% 1.71/1.73 % (24908)Instructions burned: 7 (million)
% 1.71/1.73 % (24908)------------------------------
% 1.71/1.73 % (24908)------------------------------
% 1.71/1.73 % (24909)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_24747 for (2996ds/140Mi)
% 1.71/1.74 % (24909)Refutation not found, incomplete strategy
% 1.71/1.74 % (24909)------------------------------
% 1.71/1.74 % (24909)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.74 % (24909)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.74
% 1.71/1.74
% 1.71/1.74 % (24909)Memory used [KB]: 5628
% 1.71/1.74 % (24909)Time elapsed: 0.005 s
% 1.71/1.74 % (24909)Instructions burned: 8 (million)
% 1.71/1.74 % (24909)------------------------------
% 1.71/1.74 % (24909)------------------------------
% 1.71/1.74 % (24910)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_24747 for (2996ds/614Mi)
% 1.71/1.74 % (24911)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_24747 for (2996ds/202Mi)
% 1.71/1.74 % (24910)Refutation not found, incomplete strategy
% 1.71/1.74 % (24910)------------------------------
% 1.71/1.74 % (24910)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.74 % (24910)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.74
% 1.71/1.74
% 1.71/1.74 % (24910)Memory used [KB]: 5756
% 1.71/1.74 % (24910)Time elapsed: 0.006 s
% 1.71/1.74 % (24910)Instructions burned: 9 (million)
% 1.71/1.74 % (24910)------------------------------
% 1.71/1.74 % (24910)------------------------------
% 1.71/1.75 % (24911)Refutation not found, incomplete strategy
% 1.71/1.75 % (24911)------------------------------
% 1.71/1.75 % (24911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.75 % (24911)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.75
% 1.71/1.75
% 1.71/1.75 % (24911)Memory used [KB]: 5628
% 1.71/1.75 % (24911)Time elapsed: 0.005 s
% 1.71/1.75 % (24911)Instructions burned: 7 (million)
% 1.71/1.75 % (24911)------------------------------
% 1.71/1.75 % (24911)------------------------------
% 1.71/1.75 % (24912)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_24747 for (2996ds/339Mi)
% 1.71/1.76 % (24912)Refutation not found, incomplete strategy
% 1.71/1.76 % (24912)------------------------------
% 1.71/1.76 % (24912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.76 % (24912)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.76
% 1.71/1.76
% 1.71/1.76 % (24912)Memory used [KB]: 5628
% 1.71/1.76 % (24912)Time elapsed: 0.008 s
% 1.71/1.76 % (24912)Instructions burned: 14 (million)
% 1.71/1.76 % (24912)------------------------------
% 1.71/1.76 % (24912)------------------------------
% 1.71/1.76 % (24913)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_24747 for (2995ds/283Mi)
% 1.71/1.76 % (24914)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_24747 for (2995ds/134Mi)
% 1.71/1.77 % (24907)Instruction limit reached!
% 1.71/1.77 % (24907)------------------------------
% 1.71/1.77 % (24907)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.77 % (24907)Termination reason: Unknown
% 1.71/1.77 % (24907)Termination phase: Saturation
% 1.71/1.77
% 1.71/1.77 % (24907)Memory used [KB]: 6396
% 1.71/1.77 % (24907)Time elapsed: 0.052 s
% 1.71/1.77 % (24907)Instructions burned: 109 (million)
% 1.71/1.77 % (24907)------------------------------
% 1.71/1.77 % (24907)------------------------------
% 1.71/1.77 % (24895)Instruction limit reached!
% 1.71/1.77 % (24895)------------------------------
% 1.71/1.77 % (24895)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.77 % (24895)Termination reason: Unknown
% 1.71/1.77 % (24895)Termination phase: Saturation
% 1.71/1.77
% 1.71/1.77 % (24895)Memory used [KB]: 2174
% 1.71/1.77 % (24895)Time elapsed: 0.201 s
% 1.71/1.77 % (24895)Instructions burned: 433 (million)
% 1.71/1.77 % (24895)------------------------------
% 1.71/1.77 % (24895)------------------------------
% 1.71/1.77 % (24915)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_24747 for (2995ds/298Mi)
% 1.71/1.78 % (24905)Instruction limit reached!
% 1.71/1.78 % (24905)------------------------------
% 1.71/1.78 % (24905)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.78 % (24905)Termination reason: Unknown
% 1.71/1.78 % (24905)Termination phase: Saturation
% 1.71/1.78
% 1.71/1.78 % (24905)Memory used [KB]: 6140
% 1.71/1.78 % (24905)Time elapsed: 0.071 s
% 1.71/1.78 % (24905)Instructions burned: 151 (million)
% 1.71/1.78 % (24905)------------------------------
% 1.71/1.78 % (24905)------------------------------
% 1.71/1.78 % (24872)Instruction limit reached!
% 1.71/1.78 % (24872)------------------------------
% 1.71/1.78 % (24872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.78 % (24872)Termination reason: Unknown
% 1.71/1.78 % (24872)Termination phase: Saturation
% 1.71/1.78
% 1.71/1.78 % (24872)Memory used [KB]: 6908
% 1.71/1.78 % (24872)Time elapsed: 0.358 s
% 1.71/1.78 % (24872)Instructions burned: 780 (million)
% 1.71/1.78 % (24872)------------------------------
% 1.71/1.78 % (24872)------------------------------
% 1.71/1.78 % (24916)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_24747 for (2995ds/192Mi)
% 1.71/1.78 % (24917)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_24747 for (2995ds/258Mi)
% 1.71/1.79 % (24918)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_24747 for (2995ds/90Mi)
% 1.71/1.80 % (24919)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_24747 for (2995ds/231Mi)
% 1.71/1.83 % (24914)Instruction limit reached!
% 1.71/1.83 % (24914)------------------------------
% 1.71/1.83 % (24914)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.83 % (24914)Termination reason: Unknown
% 1.71/1.83 % (24914)Termination phase: Saturation
% 1.71/1.83
% 1.71/1.83 % (24914)Memory used [KB]: 6268
% 1.71/1.83 % (24914)Time elapsed: 0.068 s
% 1.71/1.83 % (24914)Instructions burned: 135 (million)
% 1.71/1.83 % (24914)------------------------------
% 1.71/1.83 % (24914)------------------------------
% 1.71/1.84 % (24918)Instruction limit reached!
% 1.71/1.84 % (24918)------------------------------
% 1.71/1.84 % (24918)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.84 % (24918)Termination reason: Unknown
% 1.71/1.84 % (24918)Termination phase: Saturation
% 1.71/1.84
% 1.71/1.84 % (24918)Memory used [KB]: 6140
% 1.71/1.84 % (24918)Time elapsed: 0.047 s
% 1.71/1.84 % (24918)Instructions burned: 91 (million)
% 1.71/1.84 % (24918)------------------------------
% 1.71/1.84 % (24918)------------------------------
% 1.71/1.85 % (24920)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_24747 for (2995ds/458Mi)
% 1.71/1.85 % (24920)Refutation not found, incomplete strategy
% 1.71/1.85 % (24920)------------------------------
% 1.71/1.85 % (24920)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.85 % (24920)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.85
% 1.71/1.85
% 1.71/1.85 % (24920)Memory used [KB]: 5628
% 1.71/1.85 % (24920)Time elapsed: 0.006 s
% 1.71/1.85 % (24920)Instructions burned: 9 (million)
% 1.71/1.85 % (24920)------------------------------
% 1.71/1.85 % (24920)------------------------------
% 1.71/1.85 % (24921)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_24747 for (2995ds/31Mi)
% 1.71/1.87 % (24922)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_24747 for (2994ds/297Mi)
% 1.71/1.87 % (24921)Instruction limit reached!
% 1.71/1.87 % (24921)------------------------------
% 1.71/1.87 % (24921)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.87 % (24921)Termination reason: Unknown
% 1.71/1.87 % (24921)Termination phase: Saturation
% 1.71/1.87
% 1.71/1.87 % (24921)Memory used [KB]: 5756
% 1.71/1.87 % (24921)Time elapsed: 0.016 s
% 1.71/1.87 % (24921)Instructions burned: 31 (million)
% 1.71/1.87 % (24921)------------------------------
% 1.71/1.87 % (24921)------------------------------
% 1.71/1.87 % (24916)Instruction limit reached!
% 1.71/1.87 % (24916)------------------------------
% 1.71/1.87 % (24916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.87 % (24916)Termination reason: Unknown
% 1.71/1.87 % (24916)Termination phase: Saturation
% 1.71/1.87
% 1.71/1.87 % (24916)Memory used [KB]: 6524
% 1.71/1.87 % (24916)Time elapsed: 0.090 s
% 1.71/1.87 % (24916)Instructions burned: 193 (million)
% 1.71/1.87 % (24916)------------------------------
% 1.71/1.87 % (24916)------------------------------
% 1.71/1.88 % (24923)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_24747 for (2994ds/987Mi)
% 1.71/1.89 % (24924)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_24747 for (2994ds/182Mi)
% 1.71/1.89 % (24913)Instruction limit reached!
% 1.71/1.89 % (24913)------------------------------
% 1.71/1.89 % (24913)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.89 % (24913)Termination reason: Unknown
% 1.71/1.89 % (24913)Termination phase: Saturation
% 1.71/1.89
% 1.71/1.89 % (24913)Memory used [KB]: 6780
% 1.71/1.89 % (24913)Time elapsed: 0.132 s
% 1.71/1.89 % (24913)Instructions burned: 284 (million)
% 1.71/1.89 % (24913)------------------------------
% 1.71/1.89 % (24913)------------------------------
% 1.71/1.90 % (24923)Refutation not found, incomplete strategy
% 1.71/1.90 % (24923)------------------------------
% 1.71/1.90 % (24923)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.90 % (24923)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.90
% 1.71/1.90 % (24917)Instruction limit reached!
% 1.71/1.90 % (24917)------------------------------
% 1.71/1.90 % (24917)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.90 % (24917)Termination reason: Unknown
% 1.71/1.90 % (24917)Termination phase: Saturation
% 1.71/1.90
% 1.71/1.90 % (24917)Memory used [KB]: 6140
% 1.71/1.90 % (24917)Time elapsed: 0.118 s
% 1.71/1.90 % (24917)Instructions burned: 258 (million)
% 1.71/1.90 % (24917)------------------------------
% 1.71/1.90 % (24917)------------------------------
% 1.71/1.90
% 1.71/1.90 % (24923)Memory used [KB]: 5756
% 1.71/1.90 % (24923)Time elapsed: 0.017 s
% 1.71/1.90 % (24923)Instructions burned: 32 (million)
% 1.71/1.90 % (24923)------------------------------
% 1.71/1.90 % (24923)------------------------------
% 1.71/1.90 % (24919)Instruction limit reached!
% 1.71/1.90 % (24919)------------------------------
% 1.71/1.90 % (24919)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.91 % (24919)Termination reason: Unknown
% 1.71/1.91 % (24919)Termination phase: Saturation
% 1.71/1.91
% 1.71/1.91 % (24919)Memory used [KB]: 6396
% 1.71/1.91 % (24919)Time elapsed: 0.108 s
% 1.71/1.91 % (24919)Instructions burned: 232 (million)
% 1.71/1.91 % (24919)------------------------------
% 1.71/1.91 % (24919)------------------------------
% 1.71/1.91 % (24925)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_24747 for (2994ds/182Mi)
% 1.71/1.91 % (24915)Instruction limit reached!
% 1.71/1.91 % (24915)------------------------------
% 1.71/1.91 % (24915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.91 % (24915)Termination reason: Unknown
% 1.71/1.91 % (24915)Termination phase: Saturation
% 1.71/1.91
% 1.71/1.91 % (24915)Memory used [KB]: 6524
% 1.71/1.91 % (24915)Time elapsed: 0.138 s
% 1.71/1.91 % (24915)Instructions burned: 298 (million)
% 1.71/1.91 % (24915)------------------------------
% 1.71/1.91 % (24915)------------------------------
% 1.71/1.91 % (24925)Refutation not found, incomplete strategy
% 1.71/1.91 % (24925)------------------------------
% 1.71/1.91 % (24925)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.91 % (24925)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.91
% 1.71/1.91
% 1.71/1.91 % (24925)Memory used [KB]: 5628
% 1.71/1.91 % (24925)Time elapsed: 0.006 s
% 1.71/1.91 % (24925)Instructions burned: 7 (million)
% 1.71/1.91 % (24925)------------------------------
% 1.71/1.91 % (24925)------------------------------
% 1.71/1.92 % (24926)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_24747 for (2994ds/154Mi)
% 1.71/1.92 % (24927)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_24747 for (2994ds/79Mi)
% 1.71/1.92 % (24928)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_24747 for (2994ds/216Mi)
% 1.71/1.92 % (24927)Refutation not found, incomplete strategy
% 1.71/1.92 % (24927)------------------------------
% 1.71/1.92 % (24927)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.92 % (24927)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.92
% 1.71/1.92
% 1.71/1.92 % (24927)Memory used [KB]: 5628
% 1.71/1.92 % (24927)Time elapsed: 0.006 s
% 1.71/1.92 % (24927)Instructions burned: 7 (million)
% 1.71/1.92 % (24927)------------------------------
% 1.71/1.92 % (24927)------------------------------
% 1.71/1.93 % (24929)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_24747 for (2994ds/114Mi)
% 1.71/1.93 % (24930)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_24747 for (2994ds/922Mi)
% 1.71/1.93 % (24930)Refutation not found, incomplete strategy
% 1.71/1.93 % (24930)------------------------------
% 1.71/1.93 % (24930)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.93 % (24930)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.93
% 1.71/1.93
% 1.71/1.93 % (24930)Memory used [KB]: 5628
% 1.71/1.93 % (24930)Time elapsed: 0.006 s
% 1.71/1.93 % (24930)Instructions burned: 7 (million)
% 1.71/1.93 % (24930)------------------------------
% 1.71/1.93 % (24930)------------------------------
% 1.71/1.93 % (24926)Refutation not found, incomplete strategy
% 1.71/1.93 % (24926)------------------------------
% 1.71/1.93 % (24926)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.93 % (24926)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.93
% 1.71/1.93
% 1.71/1.93 % (24926)Memory used [KB]: 5756
% 1.71/1.93 % (24926)Time elapsed: 0.040 s
% 1.71/1.93 % (24926)Instructions burned: 35 (million)
% 1.71/1.93 % (24926)------------------------------
% 1.71/1.93 % (24926)------------------------------
% 1.71/1.94 % (24931)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_24747 for (2994ds/182Mi)
% 1.71/1.94 % (24931)Refutation not found, incomplete strategy
% 1.71/1.94 % (24931)------------------------------
% 1.71/1.94 % (24931)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.94 % (24931)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.94
% 1.71/1.94
% 1.71/1.94 % (24931)Memory used [KB]: 5628
% 1.71/1.94 % (24931)Time elapsed: 0.008 s
% 1.71/1.94 % (24931)Instructions burned: 14 (million)
% 1.71/1.94 % (24931)------------------------------
% 1.71/1.94 % (24931)------------------------------
% 1.71/1.95 % (24932)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_24747 for (2993ds/164Mi)
% 1.71/1.95 % (24933)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_24747 for (2993ds/50Mi)
% 1.71/1.95 % (24932)Refutation not found, incomplete strategy
% 1.71/1.95 % (24932)------------------------------
% 1.71/1.95 % (24932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.95 % (24932)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.95
% 1.71/1.95
% 1.71/1.95 % (24932)Memory used [KB]: 1023
% 1.71/1.95 % (24932)Time elapsed: 0.005 s
% 1.71/1.95 % (24932)Instructions burned: 7 (million)
% 1.71/1.95 % (24932)------------------------------
% 1.71/1.95 % (24932)------------------------------
% 1.71/1.96 % (24934)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_24747 for (2993ds/368Mi)
% 1.71/1.97 % (24935)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_24747 for (2993ds/1021Mi)
% 1.71/1.97 % (24924)Instruction limit reached!
% 1.71/1.97 % (24924)------------------------------
% 1.71/1.97 % (24924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.97 % (24924)Termination reason: Unknown
% 1.71/1.97 % (24924)Termination phase: Saturation
% 1.71/1.97
% 1.71/1.97 % (24924)Memory used [KB]: 6396
% 1.71/1.97 % (24924)Time elapsed: 0.084 s
% 1.71/1.97 % (24924)Instructions burned: 182 (million)
% 1.71/1.97 % (24924)------------------------------
% 1.71/1.97 % (24924)------------------------------
% 1.71/1.97 % (24933)Instruction limit reached!
% 1.71/1.97 % (24933)------------------------------
% 1.71/1.97 % (24933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.97 % (24933)Termination reason: Unknown
% 1.71/1.97 % (24933)Termination phase: Saturation
% 1.71/1.97
% 1.71/1.97 % (24933)Memory used [KB]: 10490
% 1.71/1.97 % (24933)Time elapsed: 0.026 s
% 1.71/1.97 % (24933)Instructions burned: 50 (million)
% 1.71/1.97 % (24933)------------------------------
% 1.71/1.97 % (24933)------------------------------
% 1.71/1.98 % (24929)Instruction limit reached!
% 1.71/1.98 % (24929)------------------------------
% 1.71/1.98 % (24929)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.98 % (24929)Termination reason: Unknown
% 1.71/1.98 % (24929)Termination phase: Saturation
% 1.71/1.98
% 1.71/1.98 % (24929)Memory used [KB]: 6396
% 1.71/1.98 % (24929)Time elapsed: 0.054 s
% 1.71/1.98 % (24929)Instructions burned: 115 (million)
% 1.71/1.98 % (24929)------------------------------
% 1.71/1.98 % (24929)------------------------------
% 1.71/1.99 % (24936)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_24747 for (2993ds/267Mi)
% 1.71/1.99 % (24937)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_24747 for (2993ds/204Mi)
% 1.71/1.99 % (24937)Refutation not found, incomplete strategy
% 1.71/1.99 % (24937)------------------------------
% 1.71/1.99 % (24937)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/1.99 % (24937)Termination reason: Refutation not found, incomplete strategy
% 1.71/1.99
% 1.71/1.99
% 1.71/1.99 % (24937)Memory used [KB]: 5628
% 1.71/2.00 % (24937)Time elapsed: 0.006 s
% 1.71/2.00 % (24937)Instructions burned: 9 (million)
% 1.71/2.00 % (24937)------------------------------
% 1.71/2.00 % (24937)------------------------------
% 1.71/2.00 % (24938)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_24747 for (2993ds/26Mi)
% 1.71/2.00 % (24938)Refutation not found, incomplete strategy
% 1.71/2.00 % (24938)------------------------------
% 1.71/2.00 % (24938)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/2.00 % (24938)Termination reason: Refutation not found, incomplete strategy
% 1.71/2.00
% 1.71/2.00
% 1.71/2.00 % (24938)Memory used [KB]: 5628
% 1.71/2.00 % (24938)Time elapsed: 0.008 s
% 1.71/2.00 % (24938)Instructions burned: 14 (million)
% 1.71/2.00 % (24938)------------------------------
% 1.71/2.00 % (24938)------------------------------
% 1.71/2.00 % (24922)Instruction limit reached!
% 1.71/2.00 % (24922)------------------------------
% 1.71/2.00 % (24922)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/2.00 % (24922)Termination reason: Unknown
% 1.71/2.00 % (24922)Termination phase: Saturation
% 1.71/2.00
% 1.71/2.00 % (24922)Memory used [KB]: 6652
% 1.71/2.00 % (24922)Time elapsed: 0.137 s
% 1.71/2.00 % (24922)Instructions burned: 297 (million)
% 1.71/2.00 % (24922)------------------------------
% 1.71/2.00 % (24922)------------------------------
% 1.71/2.01 % (24939)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_24747 for (2993ds/53Mi)
% 1.71/2.02 % (24940)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_24747 for (2993ds/4436Mi)
% 1.71/2.02 % (24941)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_24747 for (2993ds/1539Mi)
% 1.71/2.02 % (24928)Instruction limit reached!
% 1.71/2.02 % (24928)------------------------------
% 1.71/2.02 % (24928)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/2.02 % (24928)Termination reason: Unknown
% 1.71/2.02 % (24928)Termination phase: Saturation
% 1.71/2.02
% 1.71/2.02 % (24928)Memory used [KB]: 6140
% 1.71/2.02 % (24928)Time elapsed: 0.101 s
% 1.71/2.02 % (24928)Instructions burned: 216 (million)
% 1.71/2.02 % (24928)------------------------------
% 1.71/2.02 % (24928)------------------------------
% 1.71/2.02 % (24940)Refutation not found, incomplete strategy
% 1.71/2.02 % (24940)------------------------------
% 1.71/2.02 % (24940)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.71/2.02 % (24940)Termination reason: Refutation not found, incomplete strategy
% 1.71/2.02
% 1.71/2.02
% 1.71/2.02 % (24940)Memory used [KB]: 5628
% 1.71/2.02 % (24940)Time elapsed: 0.006 s
% 1.71/2.02 % (24940)Instructions burned: 7 (million)
% 1.71/2.02 % (24940)------------------------------
% 1.71/2.02 % (24940)------------------------------
% 6.49/2.04 % (24939)Instruction limit reached!
% 6.49/2.04 % (24939)------------------------------
% 6.49/2.04 % (24939)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.49/2.04 % (24939)Termination reason: Unknown
% 6.49/2.04 % (24939)Termination phase: Saturation
% 6.49/2.04
% 6.49/2.04 % (24939)Memory used [KB]: 5756
% 6.49/2.04 % (24939)Time elapsed: 0.027 s
% 6.49/2.04 % (24942)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_24747 for (2993ds/408Mi)
% 6.49/2.04 % (24939)Instructions burned: 53 (million)
% 6.49/2.04 % (24939)------------------------------
% 6.49/2.04 % (24939)------------------------------
% 6.49/2.04 % (24943)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_24747 for (2993ds/5205Mi)
% 6.49/2.05 % (24944)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_24747 for (2992ds/1913Mi)
% 6.49/2.05 % (24943)Refutation not found, incomplete strategy
% 6.49/2.05 % (24943)------------------------------
% 6.49/2.05 % (24943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.49/2.05 % (24943)Termination reason: Refutation not found, incomplete strategy
% 6.49/2.05
% 6.49/2.05
% 6.49/2.05 % (24943)Memory used [KB]: 5756
% 6.49/2.05 % (24943)Time elapsed: 0.015 s
% 6.49/2.05 % (24943)Instructions burned: 28 (million)
% 6.49/2.05 % (24943)------------------------------
% 6.49/2.05 % (24943)------------------------------
% 6.49/2.06 % (24944)Refutation not found, incomplete strategy
% 6.49/2.06 % (24944)------------------------------
% 6.49/2.06 % (24944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.49/2.06 % (24944)Termination reason: Refutation not found, incomplete strategy
% 6.49/2.06
% 6.49/2.06
% 6.49/2.06 % (24944)Memory used [KB]: 1151
% 6.49/2.06 % (24944)Time elapsed: 0.006 s
% 6.49/2.06 % (24944)Instructions burned: 9 (million)
% 6.49/2.06 % (24944)------------------------------
% 6.49/2.06 % (24944)------------------------------
% 6.49/2.07 % (24945)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_24747 for (2992ds/4350Mi)
% 6.49/2.07 % (24946)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_24747 for (2992ds/68Mi)
% 6.49/2.11 % (24946)Instruction limit reached!
% 6.49/2.11 % (24946)------------------------------
% 6.49/2.11 % (24946)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.49/2.11 % (24946)Termination reason: Unknown
% 6.49/2.11 % (24946)Termination phase: Saturation
% 6.49/2.11
% 6.49/2.11 % (24946)Memory used [KB]: 6012
% 6.49/2.11 % (24946)Time elapsed: 0.034 s
% 6.49/2.11 % (24946)Instructions burned: 68 (million)
% 6.49/2.11 % (24946)------------------------------
% 6.49/2.11 % (24946)------------------------------
% 6.49/2.11 % (24936)Instruction limit reached!
% 6.49/2.11 % (24936)------------------------------
% 6.49/2.11 % (24936)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.49/2.11 % (24936)Termination reason: Unknown
% 6.49/2.11 % (24936)Termination phase: Saturation
% 6.49/2.11
% 6.49/2.11 % (24936)Memory used [KB]: 6140
% 6.49/2.11 % (24936)Time elapsed: 0.124 s
% 6.49/2.11 % (24936)Instructions burned: 267 (million)
% 6.49/2.11 % (24936)------------------------------
% 6.49/2.11 % (24936)------------------------------
% 6.49/2.12 % (24947)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_24747 for (2992ds/358Mi)
% 6.49/2.13 % (24948)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_24747 for (2992ds/31Mi)
% 6.92/2.13 % (24947)Refutation not found, incomplete strategy
% 6.92/2.13 % (24947)------------------------------
% 6.92/2.13 % (24947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.92/2.13 % (24947)Termination reason: Refutation not found, incomplete strategy
% 6.92/2.13
% 6.92/2.13
% 6.92/2.13 % (24947)Memory used [KB]: 5628
% 6.92/2.13 % (24947)Time elapsed: 0.006 s
% 6.92/2.13 % (24947)Instructions burned: 8 (million)
% 6.92/2.13 % (24947)------------------------------
% 6.92/2.13 % (24947)------------------------------
% 6.92/2.13 % (24934)Instruction limit reached!
% 6.92/2.13 % (24934)------------------------------
% 6.92/2.13 % (24934)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.92/2.13 % (24934)Termination reason: Unknown
% 6.92/2.13 % (24934)Termination phase: Saturation
% 6.92/2.13
% 6.92/2.13 % (24934)Memory used [KB]: 6780
% 6.92/2.13 % (24934)Time elapsed: 0.170 s
% 6.92/2.13 % (24934)Instructions burned: 370 (million)
% 6.92/2.13 % (24934)------------------------------
% 6.92/2.13 % (24934)------------------------------
% 6.92/2.14 % (24948)Instruction limit reached!
% 6.92/2.14 % (24948)------------------------------
% 6.92/2.14 % (24948)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.92/2.14 % (24948)Termination reason: Unknown
% 6.92/2.14 % (24948)Termination phase: Saturation
% 6.92/2.14
% 6.92/2.14 % (24948)Memory used [KB]: 5756
% 6.92/2.14 % (24948)Time elapsed: 0.016 s
% 6.92/2.14 % (24948)Instructions burned: 31 (million)
% 6.92/2.14 % (24948)------------------------------
% 6.92/2.14 % (24948)------------------------------
% 6.92/2.14 % (24949)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_24747 for (2992ds/279Mi)
% 6.92/2.15 % (24950)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_24747 for (2992ds/258Mi)
% 6.92/2.15 % (24949)Refutation not found, incomplete strategy
% 6.92/2.15 % (24949)------------------------------
% 6.92/2.15 % (24949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.92/2.15 % (24949)Termination reason: Refutation not found, incomplete strategy
% 6.92/2.15
% 6.92/2.15
% 6.92/2.15 % (24949)Memory used [KB]: 5500
% 6.92/2.15 % (24949)Time elapsed: 0.005 s
% 6.92/2.15 % (24949)Instructions burned: 8 (million)
% 6.92/2.15 % (24949)------------------------------
% 6.92/2.15 % (24949)------------------------------
% 6.92/2.15 % (24950)Refutation not found, incomplete strategy
% 6.92/2.15 % (24950)------------------------------
% 6.92/2.15 % (24950)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.92/2.15 % (24950)Termination reason: Refutation not found, incomplete strategy
% 6.92/2.15
% 6.92/2.15
% 6.92/2.15 % (24950)Memory used [KB]: 5628
% 6.92/2.15 % (24950)Time elapsed: 0.006 s
% 6.92/2.15 % (24950)Instructions burned: 7 (million)
% 6.92/2.15 % (24950)------------------------------
% 6.92/2.15 % (24950)------------------------------
% 6.92/2.16 % (24951)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_24747 for (2991ds/26Mi)
% 6.92/2.16 % (24951)Refutation not found, incomplete strategy
% 6.92/2.16 % (24951)------------------------------
% 6.92/2.16 % (24951)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.92/2.16 % (24951)Termination reason: Refutation not found, incomplete strategy
% 6.92/2.16
% 6.92/2.16
% 6.92/2.16 % (24951)Memory used [KB]: 5628
% 6.92/2.16 % (24951)Time elapsed: 0.008 s
% 6.92/2.16 % (24951)Instructions burned: 12 (million)
% 6.92/2.16 % (24951)------------------------------
% 6.92/2.16 % (24951)------------------------------
% 6.92/2.16 % (24952)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_24747 for (2991ds/995Mi)
% 6.92/2.17 % (24953)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_24747 for (2991ds/373Mi)
% 6.92/2.17 % (24952)Refutation not found, incomplete strategy
% 6.92/2.17 % (24952)------------------------------
% 6.92/2.17 % (24952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.92/2.17 % (24952)Termination reason: Refutation not found, incomplete strategy
% 6.92/2.17
% 6.92/2.17
% 6.92/2.17 % (24952)Memory used [KB]: 5628
% 6.92/2.17 % (24952)Time elapsed: 0.008 s
% 6.92/2.17 % (24952)Instructions burned: 14 (million)
% 6.92/2.17 % (24952)------------------------------
% 6.92/2.17 % (24952)------------------------------
% 6.92/2.18 % (24954)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_24747 for (2991ds/253Mi)
% 6.92/2.19 % (24955)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_24747 for (2991ds/832Mi)
% 6.92/2.19 % (24954)Refutation not found, incomplete strategy
% 6.92/2.19 % (24954)------------------------------
% 6.92/2.19 % (24954)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.92/2.19 % (24954)Termination reason: Refutation not found, incomplete strategy
% 6.92/2.19
% 6.92/2.19
% 6.92/2.19 % (24954)Memory used [KB]: 5756
% 6.92/2.19 % (24954)Time elapsed: 0.012 s
% 6.92/2.19 % (24954)Instructions burned: 21 (million)
% 6.92/2.19 % (24954)------------------------------
% 6.92/2.19 % (24954)------------------------------
% 6.92/2.19 % (24955)Refutation not found, incomplete strategy
% 6.92/2.19 % (24955)------------------------------
% 6.92/2.19 % (24955)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.92/2.19 % (24955)Termination reason: Refutation not found, incomplete strategy
% 6.92/2.19
% 6.92/2.19
% 6.92/2.19 % (24955)Memory used [KB]: 5500
% 6.92/2.19 % (24955)Time elapsed: 0.004 s
% 6.92/2.19 % (24955)Instructions burned: 5 (million)
% 6.92/2.19 % (24955)------------------------------
% 6.92/2.19 % (24955)------------------------------
% 7.21/2.21 % (24956)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_24747 for (2991ds/668Mi)
% 7.21/2.21 % (24957)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_24747 for (2991ds/40Mi)
% 7.21/2.22 % (24942)Instruction limit reached!
% 7.21/2.22 % (24942)------------------------------
% 7.21/2.22 % (24942)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.21/2.22 % (24942)Termination reason: Unknown
% 7.21/2.22 % (24942)Termination phase: Saturation
% 7.21/2.22
% 7.21/2.22 % (24942)Memory used [KB]: 7036
% 7.21/2.22 % (24942)Time elapsed: 0.189 s
% 7.21/2.22 % (24942)Instructions burned: 409 (million)
% 7.21/2.22 % (24942)------------------------------
% 7.21/2.22 % (24942)------------------------------
% 7.21/2.23 % (24957)Instruction limit reached!
% 7.21/2.23 % (24957)------------------------------
% 7.21/2.23 % (24957)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.21/2.23 % (24957)Termination reason: Unknown
% 7.21/2.23 % (24957)Termination phase: Saturation
% 7.21/2.23
% 7.21/2.23 % (24957)Memory used [KB]: 5756
% 7.21/2.23 % (24957)Time elapsed: 0.021 s
% 7.21/2.23 % (24957)Instructions burned: 41 (million)
% 7.21/2.23 % (24957)------------------------------
% 7.21/2.23 % (24957)------------------------------
% 7.21/2.24 % (24958)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_24747 for (2991ds/294Mi)
% 7.21/2.24 % (24959)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_24747 for (2991ds/187Mi)
% 7.55/2.32 % (24959)Instruction limit reached!
% 7.55/2.32 % (24959)------------------------------
% 7.55/2.32 % (24959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.55/2.32 % (24959)Termination reason: Unknown
% 7.55/2.32 % (24959)Termination phase: Saturation
% 7.55/2.32
% 7.55/2.32 % (24959)Memory used [KB]: 6396
% 7.55/2.32 % (24959)Time elapsed: 0.080 s
% 7.55/2.32 % (24959)Instructions burned: 190 (million)
% 7.55/2.32 % (24959)------------------------------
% 7.55/2.32 % (24959)------------------------------
% 7.55/2.34 % (24960)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_24747 for (2990ds/371Mi)
% 7.55/2.34 % (24953)Instruction limit reached!
% 7.55/2.34 % (24953)------------------------------
% 7.55/2.34 % (24953)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.55/2.34 % (24953)Termination reason: Unknown
% 7.55/2.34 % (24953)Termination phase: Saturation
% 7.55/2.34
% 7.55/2.34 % (24953)Memory used [KB]: 6396
% 7.55/2.34 % (24953)Time elapsed: 0.175 s
% 7.55/2.34 % (24953)Instructions burned: 374 (million)
% 7.55/2.34 % (24953)------------------------------
% 7.55/2.34 % (24953)------------------------------
% 7.55/2.34 % (24960)Refutation not found, incomplete strategy
% 7.55/2.34 % (24960)------------------------------
% 7.55/2.34 % (24960)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.55/2.34 % (24960)Termination reason: Refutation not found, incomplete strategy
% 7.55/2.34
% 7.55/2.34
% 7.55/2.34 % (24960)Memory used [KB]: 5628
% 7.55/2.34 % (24960)Time elapsed: 0.006 s
% 7.55/2.34 % (24960)Instructions burned: 9 (million)
% 7.55/2.34 % (24960)------------------------------
% 7.55/2.34 % (24960)------------------------------
% 7.55/2.36 % (24961)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_24747 for (2990ds/1827Mi)
% 7.55/2.36 % (24962)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_24747 for (2990ds/70Mi)
% 7.55/2.36 % (24961)Refutation not found, incomplete strategy
% 7.55/2.36 % (24961)------------------------------
% 7.55/2.36 % (24961)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.55/2.36 % (24961)Termination reason: Refutation not found, incomplete strategy
% 7.55/2.36
% 7.55/2.36
% 7.55/2.36 % (24961)Memory used [KB]: 5628
% 7.55/2.36 % (24961)Time elapsed: 0.006 s
% 7.55/2.36 % (24961)Instructions burned: 7 (million)
% 7.55/2.36 % (24961)------------------------------
% 7.55/2.36 % (24961)------------------------------
% 7.55/2.37 % (24958)Instruction limit reached!
% 7.55/2.37 % (24958)------------------------------
% 7.55/2.37 % (24958)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.55/2.37 % (24958)Termination reason: Unknown
% 7.55/2.37 % (24958)Termination phase: Saturation
% 7.55/2.37
% 7.55/2.37 % (24958)Memory used [KB]: 6268
% 7.55/2.37 % (24958)Time elapsed: 0.133 s
% 7.55/2.37 % (24958)Instructions burned: 295 (million)
% 7.55/2.37 % (24958)------------------------------
% 7.55/2.37 % (24958)------------------------------
% 7.55/2.38 % (24963)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_24747 for (2989ds/316Mi)
% 7.55/2.38 % (24963)Refutation not found, incomplete strategy
% 7.55/2.38 % (24963)------------------------------
% 7.55/2.38 % (24963)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.55/2.38 % (24963)Termination reason: Refutation not found, incomplete strategy
% 7.55/2.38
% 7.55/2.38
% 7.55/2.38 % (24963)Memory used [KB]: 5500
% 7.55/2.38 % (24963)Time elapsed: 0.006 s
% 7.55/2.38 % (24963)Instructions burned: 10 (million)
% 7.55/2.38 % (24963)------------------------------
% 7.55/2.38 % (24963)------------------------------
% 7.55/2.39 % (24964)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_24747 for (2989ds/932Mi)
% 7.55/2.39 % (24962)Instruction limit reached!
% 7.55/2.39 % (24962)------------------------------
% 7.55/2.39 % (24962)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.55/2.39 % (24962)Termination reason: Unknown
% 7.55/2.39 % (24962)Termination phase: Saturation
% 7.55/2.39
% 7.55/2.39 % (24962)Memory used [KB]: 1663
% 7.55/2.39 % (24962)Time elapsed: 0.056 s
% 7.55/2.39 % (24962)Instructions burned: 71 (million)
% 7.55/2.39 % (24962)------------------------------
% 7.55/2.39 % (24962)------------------------------
% 8.19/2.40 % (24965)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_24747 for (2989ds/4714Mi)
% 8.19/2.40 % (24965)Refutation not found, incomplete strategy
% 8.19/2.40 % (24965)------------------------------
% 8.19/2.40 % (24965)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.19/2.40 % (24965)Termination reason: Refutation not found, incomplete strategy
% 8.19/2.40
% 8.19/2.40
% 8.19/2.40 % (24965)Memory used [KB]: 5500
% 8.19/2.40 % (24965)Time elapsed: 0.006 s
% 8.19/2.40 % (24965)Instructions burned: 9 (million)
% 8.19/2.40 % (24965)------------------------------
% 8.19/2.40 % (24965)------------------------------
% 8.19/2.41 % (24966)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_24747 for (2989ds/8250Mi)
% 8.19/2.41 % (24966)Refutation not found, incomplete strategy
% 8.19/2.41 % (24966)------------------------------
% 8.19/2.41 % (24966)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.19/2.41 % (24966)Termination reason: Refutation not found, incomplete strategy
% 8.19/2.41
% 8.19/2.41
% 8.19/2.41 % (24966)Memory used [KB]: 5628
% 8.19/2.41 % (24966)Time elapsed: 0.026 s
% 8.19/2.41 % (24966)Instructions burned: 7 (million)
% 8.19/2.41 % (24966)------------------------------
% 8.19/2.41 % (24966)------------------------------
% 8.19/2.42 % (24967)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_24747 for (2989ds/770Mi)
% 8.19/2.43 % (24967)Refutation not found, incomplete strategy
% 8.19/2.43 % (24967)------------------------------
% 8.19/2.43 % (24967)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.19/2.43 % (24967)Termination reason: Refutation not found, incomplete strategy
% 8.19/2.43
% 8.19/2.43
% 8.19/2.43 % (24967)Memory used [KB]: 5628
% 8.19/2.43 % (24967)Time elapsed: 0.034 s
% 8.19/2.43 % (24967)Instructions burned: 13 (million)
% 8.19/2.43 % (24967)------------------------------
% 8.19/2.43 % (24967)------------------------------
% 8.19/2.43 % (24968)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_24747 for (2989ds/794Mi)
% 8.19/2.43 % (24935)Instruction limit reached!
% 8.19/2.43 % (24935)------------------------------
% 8.19/2.43 % (24935)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.19/2.43 % (24935)Termination reason: Unknown
% 8.19/2.43 % (24935)Termination phase: Saturation
% 8.19/2.43
% 8.19/2.43 % (24935)Memory used [KB]: 6524
% 8.19/2.43 % (24935)Time elapsed: 0.462 s
% 8.19/2.43 % (24935)Instructions burned: 1022 (million)
% 8.19/2.43 % (24935)------------------------------
% 8.19/2.43 % (24935)------------------------------
% 8.19/2.44 % (24969)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_24747 for (2989ds/464Mi)
% 8.19/2.45 % (24970)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_24747 for (2988ds/1376Mi)
% 8.19/2.45 % (24969)Refutation not found, incomplete strategy
% 8.19/2.45 % (24969)------------------------------
% 8.19/2.45 % (24969)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.19/2.45 % (24969)Termination reason: Refutation not found, incomplete strategy
% 8.19/2.45
% 8.19/2.45
% 8.19/2.45 % (24969)Memory used [KB]: 5628
% 8.19/2.45 % (24969)Time elapsed: 0.006 s
% 8.19/2.45 % (24969)Instructions burned: 9 (million)
% 8.19/2.45 % (24969)------------------------------
% 8.19/2.45 % (24969)------------------------------
% 8.19/2.46 % (24971)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_24747 for (2988ds/906Mi)
% 8.31/2.51 % (24956)Instruction limit reached!
% 8.31/2.51 % (24956)------------------------------
% 8.31/2.51 % (24956)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.31/2.51 % (24956)Termination reason: Unknown
% 8.31/2.51 % (24956)Termination phase: Saturation
% 8.31/2.51
% 8.31/2.51 % (24956)Memory used [KB]: 11513
% 8.31/2.51 % (24956)Time elapsed: 0.304 s
% 8.31/2.51 % (24956)Instructions burned: 669 (million)
% 8.31/2.51 % (24956)------------------------------
% 8.31/2.51 % (24956)------------------------------
% 8.31/2.53 % (24972)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_24747 for (2988ds/434Mi)
% 8.63/2.70 % (24941)Instruction limit reached!
% 8.63/2.70 % (24941)------------------------------
% 8.63/2.70 % (24941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.63/2.70 % (24941)Termination reason: Unknown
% 8.63/2.70 % (24941)Termination phase: Saturation
% 8.63/2.70
% 8.63/2.70 % (24941)Memory used [KB]: 6780
% 8.63/2.70 % (24941)Time elapsed: 0.681 s
% 8.63/2.70 % (24941)Instructions burned: 1540 (million)
% 8.63/2.70 % (24941)------------------------------
% 8.63/2.70 % (24941)------------------------------
% 8.63/2.72 % (24973)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_24747 for (2986ds/865Mi)
% 8.63/2.72 % (24972)Instruction limit reached!
% 8.63/2.72 % (24972)------------------------------
% 8.63/2.72 % (24972)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.63/2.72 % (24972)Termination reason: Unknown
% 8.63/2.72 % (24972)Termination phase: Saturation
% 8.63/2.72
% 8.63/2.72 % (24972)Memory used [KB]: 7036
% 8.63/2.72 % (24972)Time elapsed: 0.198 s
% 8.63/2.72 % (24972)Instructions burned: 434 (million)
% 8.63/2.72 % (24972)------------------------------
% 8.63/2.72 % (24972)------------------------------
% 8.63/2.74 % (24974)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_24747 for (2986ds/593Mi)
% 8.63/2.78 % (24968)Instruction limit reached!
% 8.63/2.78 % (24968)------------------------------
% 8.63/2.78 % (24968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.63/2.78 % (24968)Termination reason: Unknown
% 8.63/2.78 % (24968)Termination phase: Saturation
% 8.63/2.78
% 8.63/2.78 % (24968)Memory used [KB]: 3326
% 8.63/2.78 % (24968)Time elapsed: 0.374 s
% 8.63/2.78 % (24968)Instructions burned: 795 (million)
% 8.63/2.78 % (24968)------------------------------
% 8.63/2.78 % (24968)------------------------------
% 8.63/2.79 % (24975)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_24747 for (2985ds/443Mi)
% 9.91/2.82 % (24964)Instruction limit reached!
% 9.91/2.82 % (24964)------------------------------
% 9.91/2.82 % (24964)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.91/2.82 % (24964)Termination reason: Unknown
% 9.91/2.82 % (24964)Termination phase: Saturation
% 9.91/2.82
% 9.91/2.82 % (24964)Memory used [KB]: 8699
% 9.91/2.82 % (24964)Time elapsed: 0.454 s
% 9.91/2.82 % (24964)Instructions burned: 932 (million)
% 9.91/2.82 % (24964)------------------------------
% 9.91/2.82 % (24964)------------------------------
% 9.91/2.83 % (24976)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_24747 for (2985ds/594Mi)
% 9.91/2.88 % (24971)Instruction limit reached!
% 9.91/2.88 % (24971)------------------------------
% 9.91/2.88 % (24971)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.91/2.88 % (24971)Termination reason: Unknown
% 9.91/2.88 % (24971)Termination phase: Saturation
% 9.91/2.88
% 9.91/2.88 % (24971)Memory used [KB]: 12537
% 9.91/2.88 % (24971)Time elapsed: 0.424 s
% 9.91/2.88 % (24971)Instructions burned: 906 (million)
% 9.91/2.88 % (24971)------------------------------
% 9.91/2.88 % (24971)------------------------------
% 10.80/2.90 % (24977)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_24747 for (2984ds/327Mi)
% 10.80/3.00 % (24975)Instruction limit reached!
% 10.80/3.00 % (24975)------------------------------
% 10.80/3.00 % (24975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.80/3.00 % (24975)Termination reason: Unknown
% 10.80/3.00 % (24975)Termination phase: Saturation
% 10.80/3.00
% 10.80/3.00 % (24975)Memory used [KB]: 6780
% 10.80/3.00 % (24975)Time elapsed: 0.204 s
% 10.80/3.00 % (24975)Instructions burned: 443 (million)
% 10.80/3.00 % (24975)------------------------------
% 10.80/3.00 % (24975)------------------------------
% 10.80/3.01 % (24974)Instruction limit reached!
% 10.80/3.01 % (24974)------------------------------
% 10.80/3.01 % (24974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.80/3.01 % (24974)Termination reason: Unknown
% 10.80/3.01 % (24974)Termination phase: Saturation
% 10.80/3.01
% 10.80/3.01 % (24974)Memory used [KB]: 6780
% 10.80/3.01 % (24974)Time elapsed: 0.273 s
% 10.80/3.01 % (24974)Instructions burned: 595 (million)
% 10.80/3.01 % (24974)------------------------------
% 10.80/3.01 % (24974)------------------------------
% 10.80/3.01 % (24978)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_24747 for (2983ds/5411Mi)
% 10.80/3.02 % (24978)Refutation not found, incomplete strategy
% 10.80/3.02 % (24978)------------------------------
% 10.80/3.02 % (24978)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.80/3.02 % (24978)Termination reason: Refutation not found, incomplete strategy
% 10.80/3.02
% 10.80/3.02
% 10.80/3.02 % (24978)Memory used [KB]: 5500
% 10.80/3.02 % (24978)Time elapsed: 0.005 s
% 10.80/3.02 % (24978)Instructions burned: 6 (million)
% 10.80/3.02 % (24978)------------------------------
% 10.80/3.02 % (24978)------------------------------
% 10.80/3.02 % (24970)Instruction limit reached!
% 10.80/3.02 % (24970)------------------------------
% 10.80/3.02 % (24970)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.80/3.02 % (24970)Termination reason: Unknown
% 10.80/3.02 % (24970)Termination phase: Saturation
% 10.80/3.02
% 10.80/3.02 % (24970)Memory used [KB]: 7675
% 10.80/3.02 % (24970)Time elapsed: 0.581 s
% 10.80/3.02 % (24970)Instructions burned: 1377 (million)
% 10.80/3.02 % (24970)------------------------------
% 10.80/3.02 % (24970)------------------------------
% 13.51/3.03 % (24979)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_24747 for (2983ds/1762Mi)
% 13.51/3.03 % (24980)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_24747 for (2983ds/96Mi)
% 13.51/3.04 % (24981)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_24747 for (2983ds/503Mi)
% 13.51/3.05 % (24979)Refutation not found, incomplete strategy
% 13.51/3.05 % (24979)------------------------------
% 13.51/3.05 % (24979)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.51/3.05 % (24979)Termination reason: Refutation not found, incomplete strategy
% 13.51/3.05
% 13.51/3.05
% 13.51/3.05 % (24979)Memory used [KB]: 5756
% 13.51/3.05 % (24979)Time elapsed: 0.024 s
% 13.51/3.05 % (24979)Instructions burned: 46 (million)
% 13.51/3.05 % (24979)------------------------------
% 13.51/3.05 % (24979)------------------------------
% 13.51/3.05 % (24977)Instruction limit reached!
% 13.51/3.05 % (24977)------------------------------
% 13.51/3.05 % (24977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.51/3.05 % (24977)Termination reason: Unknown
% 13.51/3.05 % (24977)Termination phase: Saturation
% 13.51/3.05
% 13.51/3.05 % (24977)Memory used [KB]: 6780
% 13.51/3.05 % (24977)Time elapsed: 0.150 s
% 13.51/3.05 % (24977)Instructions burned: 327 (million)
% 13.51/3.05 % (24977)------------------------------
% 13.51/3.05 % (24977)------------------------------
% 13.51/3.06 % (24982)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_24747 for (2982ds/90Mi)
% 13.51/3.07 % (24983)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_24747 for (2982ds/593Mi)
% 13.51/3.08 % (24980)Instruction limit reached!
% 13.51/3.08 % (24980)------------------------------
% 13.51/3.08 % (24980)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.51/3.08 % (24980)Termination reason: Unknown
% 13.51/3.08 % (24980)Termination phase: Saturation
% 13.51/3.08
% 13.51/3.08 % (24980)Memory used [KB]: 5884
% 13.51/3.08 % (24980)Time elapsed: 0.049 s
% 13.51/3.08 % (24980)Instructions burned: 97 (million)
% 13.51/3.08 % (24980)------------------------------
% 13.51/3.08 % (24980)------------------------------
% 13.51/3.10 % (24984)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_24747 for (2982ds/1512Mi)
% 13.51/3.10 % (24984)Refutation not found, incomplete strategy
% 13.51/3.10 % (24984)------------------------------
% 13.51/3.10 % (24984)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.51/3.10 % (24984)Termination reason: Refutation not found, incomplete strategy
% 13.51/3.10
% 13.51/3.10
% 13.51/3.10 % (24984)Memory used [KB]: 5628
% 13.51/3.10 % (24984)Time elapsed: 0.005 s
% 13.51/3.10 % (24984)Instructions burned: 7 (million)
% 13.51/3.10 % (24984)------------------------------
% 13.51/3.10 % (24984)------------------------------
% 13.51/3.10 % (24976)Instruction limit reached!
% 13.51/3.10 % (24976)------------------------------
% 13.51/3.10 % (24976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.51/3.10 % (24976)Termination reason: Unknown
% 13.51/3.10 % (24976)Termination phase: Saturation
% 13.51/3.10
% 13.51/3.10 % (24976)Memory used [KB]: 7164
% 13.51/3.10 % (24976)Time elapsed: 0.271 s
% 13.51/3.10 % (24976)Instructions burned: 594 (million)
% 13.51/3.10 % (24976)------------------------------
% 13.51/3.10 % (24976)------------------------------
% 13.51/3.11 % (24982)Instruction limit reached!
% 13.51/3.11 % (24982)------------------------------
% 13.51/3.11 % (24982)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.51/3.11 % (24982)Termination reason: Unknown
% 13.51/3.11 % (24982)Termination phase: Saturation
% 13.51/3.11
% 13.51/3.11 % (24982)Memory used [KB]: 6140
% 13.51/3.11 % (24982)Time elapsed: 0.047 s
% 13.51/3.11 % (24982)Instructions burned: 91 (million)
% 13.51/3.11 % (24982)------------------------------
% 13.51/3.11 % (24982)------------------------------
% 13.51/3.12 % (24985)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_24747 for (2982ds/569Mi)
% 13.51/3.12 % (24973)Instruction limit reached!
% 13.51/3.12 % (24973)------------------------------
% 13.51/3.12 % (24973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.51/3.12 % (24973)Termination reason: Unknown
% 13.51/3.12 % (24973)Termination phase: Saturation
% 13.51/3.12
% 13.51/3.12 % (24973)Memory used [KB]: 9210
% 13.51/3.12 % (24973)Time elapsed: 0.404 s
% 13.51/3.12 % (24973)Instructions burned: 866 (million)
% 13.51/3.12 % (24973)------------------------------
% 13.51/3.12 % (24973)------------------------------
% 13.51/3.12 % (24986)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_24747 for (2982ds/501Mi)
% 13.51/3.12 % (24986)Refutation not found, incomplete strategy
% 13.51/3.12 % (24986)------------------------------
% 13.51/3.12 % (24986)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.51/3.12 % (24986)Termination reason: Refutation not found, incomplete strategy
% 13.51/3.12
% 13.51/3.12
% 13.51/3.12 % (24986)Memory used [KB]: 5500
% 13.51/3.12 % (24986)Time elapsed: 0.004 s
% 13.51/3.12 % (24986)Instructions burned: 5 (million)
% 13.51/3.12 % (24986)------------------------------
% 13.51/3.12 % (24986)------------------------------
% 14.06/3.13 % (24987)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_24747 for (2982ds/562Mi)
% 14.06/3.13 % (24988)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_24747 for (2982ds/406Mi)
% 14.06/3.14 % (24989)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_24747 for (2982ds/582Mi)
% 14.06/3.14 % (24989)Refutation not found, incomplete strategy
% 14.06/3.14 % (24989)------------------------------
% 14.06/3.14 % (24989)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.06/3.14 % (24989)Termination reason: Refutation not found, incomplete strategy
% 14.06/3.14
% 14.06/3.14
% 14.06/3.14 % (24989)Memory used [KB]: 5628
% 14.06/3.14 % (24989)Time elapsed: 0.005 s
% 14.06/3.14 % (24989)Instructions burned: 7 (million)
% 14.06/3.14 % (24989)------------------------------
% 14.06/3.14 % (24989)------------------------------
% 14.06/3.16 % (24990)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_24747 for (2981ds/456Mi)
% 14.06/3.16 % (24990)Refutation not found, incomplete strategy
% 14.06/3.16 % (24990)------------------------------
% 14.06/3.16 % (24990)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.06/3.16 % (24990)Termination reason: Refutation not found, incomplete strategy
% 14.06/3.16
% 14.06/3.16
% 14.06/3.16 % (24990)Memory used [KB]: 5500
% 14.06/3.16 % (24990)Time elapsed: 0.004 s
% 14.06/3.16 % (24990)Instructions burned: 6 (million)
% 14.06/3.16 % (24990)------------------------------
% 14.06/3.16 % (24990)------------------------------
% 14.06/3.18 % (24991)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_24747 for (2981ds/393Mi)
% 14.16/3.27 % (24981)Instruction limit reached!
% 14.16/3.27 % (24981)------------------------------
% 14.16/3.27 % (24981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.16/3.27 % (24981)Termination reason: Unknown
% 14.16/3.27 % (24981)Termination phase: Saturation
% 14.16/3.27
% 14.16/3.27 % (24981)Memory used [KB]: 6908
% 14.16/3.27 % (24981)Time elapsed: 0.229 s
% 14.16/3.27 % (24981)Instructions burned: 503 (million)
% 14.16/3.27 % (24981)------------------------------
% 14.16/3.27 % (24981)------------------------------
% 14.16/3.29 % (24992)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_24747 for (2980ds/1335Mi)
% 14.16/3.29 % (24992)Refutation not found, incomplete strategy
% 14.16/3.29 % (24992)------------------------------
% 14.16/3.29 % (24992)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.16/3.29 % (24992)Termination reason: Refutation not found, incomplete strategy
% 14.16/3.29
% 14.16/3.29
% 14.16/3.29 % (24992)Memory used [KB]: 5500
% 14.16/3.29 % (24992)Time elapsed: 0.005 s
% 14.16/3.29 % (24992)Instructions burned: 5 (million)
% 14.16/3.29 % (24992)------------------------------
% 14.16/3.29 % (24992)------------------------------
% 14.52/3.31 % (24993)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_24747 for (2980ds/3373Mi)
% 14.52/3.31 % (24993)Refutation not found, incomplete strategy
% 14.52/3.31 % (24993)------------------------------
% 14.52/3.31 % (24993)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.52/3.31 % (24993)Termination reason: Refutation not found, incomplete strategy
% 14.52/3.31
% 14.52/3.31
% 14.52/3.31 % (24993)Memory used [KB]: 5756
% 14.52/3.31 % (24993)Time elapsed: 0.006 s
% 14.52/3.31 % (24993)Instructions burned: 8 (million)
% 14.52/3.31 % (24993)------------------------------
% 14.52/3.31 % (24993)------------------------------
% 14.52/3.33 % (24994)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_24747 for (2980ds/474Mi)
% 14.52/3.33 % (24988)Instruction limit reached!
% 14.52/3.33 % (24988)------------------------------
% 14.52/3.33 % (24988)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.52/3.33 % (24988)Termination reason: Unknown
% 14.52/3.33 % (24988)Termination phase: Saturation
% 14.52/3.33
% 14.52/3.33 % (24988)Memory used [KB]: 6780
% 14.52/3.33 % (24988)Time elapsed: 0.196 s
% 14.52/3.33 % (24988)Instructions burned: 407 (million)
% 14.52/3.33 % (24988)------------------------------
% 14.52/3.33 % (24988)------------------------------
% 14.52/3.34 % (24983)Instruction limit reached!
% 14.52/3.34 % (24983)------------------------------
% 14.52/3.34 % (24983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.52/3.34 % (24983)Termination reason: Unknown
% 14.52/3.34 % (24983)Termination phase: Saturation
% 14.52/3.34
% 14.52/3.34 % (24983)Memory used [KB]: 7931
% 14.52/3.34 % (24983)Time elapsed: 0.273 s
% 14.52/3.34 % (24983)Instructions burned: 594 (million)
% 14.52/3.34 % (24983)------------------------------
% 14.52/3.34 % (24983)------------------------------
% 14.52/3.34 % (24994)Refutation not found, incomplete strategy
% 14.52/3.34 % (24994)------------------------------
% 14.52/3.34 % (24994)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.52/3.34 % (24994)Termination reason: Refutation not found, incomplete strategy
% 14.52/3.34
% 14.52/3.34
% 14.52/3.34 % (24994)Memory used [KB]: 5756
% 14.52/3.34 % (24994)Time elapsed: 0.016 s
% 14.52/3.34 % (24994)Instructions burned: 30 (million)
% 14.52/3.34 % (24994)------------------------------
% 14.52/3.34 % (24994)------------------------------
% 14.52/3.34 % (24995)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_24747 for (2980ds/157Mi)
% 14.52/3.35 % (24996)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_24747 for (2980ds/590Mi)
% 14.52/3.36 % (24997)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_24747 for (2980ds/104Mi)
% 14.52/3.37 % (24991)Instruction limit reached!
% 14.52/3.37 % (24991)------------------------------
% 14.52/3.37 % (24991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.52/3.37 % (24991)Termination reason: Unknown
% 14.52/3.37 % (24991)Termination phase: Saturation
% 14.52/3.37
% 14.52/3.37 % (24991)Memory used [KB]: 6908
% 14.52/3.37 % (24991)Time elapsed: 0.191 s
% 14.52/3.37 % (24991)Instructions burned: 393 (million)
% 14.52/3.37 % (24991)------------------------------
% 14.52/3.37 % (24991)------------------------------
% 14.52/3.38 % (24985)Instruction limit reached!
% 14.52/3.38 % (24985)------------------------------
% 14.52/3.38 % (24985)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.52/3.38 % (24985)Termination reason: Unknown
% 14.52/3.38 % (24985)Termination phase: Saturation
% 14.52/3.38
% 14.52/3.38 % (24985)Memory used [KB]: 7675
% 14.52/3.38 % (24985)Time elapsed: 0.260 s
% 14.52/3.38 % (24985)Instructions burned: 571 (million)
% 14.52/3.38 % (24985)------------------------------
% 14.52/3.38 % (24985)------------------------------
% 14.52/3.38 % (24987)Instruction limit reached!
% 14.52/3.38 % (24987)------------------------------
% 14.52/3.38 % (24987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.52/3.38 % (24987)Termination reason: Unknown
% 14.52/3.38 % (24987)Termination phase: Saturation
% 14.52/3.38
% 14.52/3.38 % (24987)Memory used [KB]: 6908
% 14.52/3.38 % (24987)Time elapsed: 0.256 s
% 14.52/3.38 % (24987)Instructions burned: 563 (million)
% 14.52/3.38 % (24987)------------------------------
% 14.52/3.38 % (24987)------------------------------
% 14.52/3.38 % (24998)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_24747 for (2979ds/414Mi)
% 14.52/3.39 % (24999)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_24747 for (2979ds/715Mi)
% 14.52/3.39 % (24998)Refutation not found, incomplete strategy
% 14.52/3.39 % (24998)------------------------------
% 14.52/3.39 % (24998)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.52/3.39 % (24998)Termination reason: Refutation not found, incomplete strategy
% 14.52/3.39
% 14.52/3.39
% 14.52/3.39 % (24998)Memory used [KB]: 5628
% 14.52/3.39 % (24998)Time elapsed: 0.011 s
% 14.52/3.39 % (24998)Instructions burned: 20 (million)
% 14.52/3.39 % (24998)------------------------------
% 14.52/3.39 % (24998)------------------------------
% 15.95/3.40 % (25000)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_24747 for (2979ds/961Mi)
% 15.95/3.40 % (25000)Refutation not found, incomplete strategy
% 15.95/3.40 % (25000)------------------------------
% 15.95/3.40 % (25000)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.95/3.40 % (25000)Termination reason: Refutation not found, incomplete strategy
% 15.95/3.40
% 15.95/3.40
% 15.95/3.40 % (25000)Memory used [KB]: 5628
% 15.95/3.40 % (25000)Time elapsed: 0.006 s
% 15.95/3.40 % (25000)Instructions burned: 9 (million)
% 15.95/3.40 % (25000)------------------------------
% 15.95/3.40 % (25000)------------------------------
% 15.95/3.41 % (24997)Instruction limit reached!
% 15.95/3.41 % (24997)------------------------------
% 15.95/3.41 % (24997)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.95/3.41 % (24997)Termination reason: Unknown
% 15.95/3.41 % (24997)Termination phase: Saturation
% 15.95/3.41
% 15.95/3.41 % (24997)Memory used [KB]: 6012
% 15.95/3.41 % (24997)Time elapsed: 0.050 s
% 15.95/3.41 % (24997)Instructions burned: 104 (million)
% 15.95/3.41 % (24997)------------------------------
% 15.95/3.41 % (24997)------------------------------
% 15.95/3.41 % (25001)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_24747 for (2979ds/1213Mi)
% 15.95/3.42 % (24995)Instruction limit reached!
% 15.95/3.42 % (24995)------------------------------
% 15.95/3.42 % (24995)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.95/3.42 % (24995)Termination reason: Unknown
% 15.95/3.42 % (24995)Termination phase: Saturation
% 15.95/3.42
% 15.95/3.42 % (24995)Memory used [KB]: 6396
% 15.95/3.42 % (24995)Time elapsed: 0.074 s
% 15.95/3.42 % (24995)Instructions burned: 157 (million)
% 15.95/3.42 % (24995)------------------------------
% 15.95/3.42 % (24995)------------------------------
% 15.95/3.42 % (25002)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_24747 for (2979ds/1979Mi)
% 15.95/3.42 % (25003)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_24747 for (2979ds/481Mi)
% 15.95/3.43 % (25004)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_24747 for (2979ds/783Mi)
% 15.95/3.44 % (25003)Refutation not found, incomplete strategy
% 15.95/3.44 % (25003)------------------------------
% 15.95/3.44 % (25003)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.95/3.44 % (25003)Termination reason: Refutation not found, incomplete strategy
% 15.95/3.44
% 15.95/3.44
% 15.95/3.44 % (25003)Memory used [KB]: 5756
% 15.95/3.44 % (25003)Time elapsed: 0.037 s
% 15.95/3.44 % (25003)Instructions burned: 30 (million)
% 15.95/3.44 % (25003)------------------------------
% 15.95/3.44 % (25003)------------------------------
% 15.95/3.45 % (25005)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_24747 for (2979ds/432Mi)
% 16.37/3.62 % (24996)Instruction limit reached!
% 16.37/3.62 % (24996)------------------------------
% 16.37/3.62 % (24996)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.37/3.62 % (24996)Termination reason: Unknown
% 16.37/3.62 % (24996)Termination phase: Saturation
% 16.37/3.62
% 16.37/3.62 % (24996)Memory used [KB]: 6140
% 16.37/3.62 % (24996)Time elapsed: 0.265 s
% 16.37/3.62 % (24996)Instructions burned: 591 (million)
% 16.37/3.62 % (24996)------------------------------
% 16.37/3.62 % (24996)------------------------------
% 16.37/3.63 % (25006)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_24747 for (2977ds/1670Mi)
% 16.37/3.64 % (25006)Refutation not found, incomplete strategy
% 16.37/3.64 % (25006)------------------------------
% 16.37/3.64 % (25006)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.37/3.64 % (25006)Termination reason: Refutation not found, incomplete strategy
% 16.37/3.64
% 16.37/3.64
% 16.37/3.64 % (25006)Memory used [KB]: 5628
% 16.37/3.64 % (25006)Time elapsed: 0.009 s
% 16.37/3.64 % (25006)Instructions burned: 14 (million)
% 16.37/3.64 % (25006)------------------------------
% 16.37/3.64 % (25006)------------------------------
% 16.37/3.65 % (25005)Instruction limit reached!
% 16.37/3.65 % (25005)------------------------------
% 16.37/3.65 % (25005)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.37/3.65 % (25005)Termination reason: Unknown
% 16.37/3.65 % (25005)Termination phase: Saturation
% 16.37/3.65
% 16.37/3.65 % (25005)Memory used [KB]: 7419
% 16.37/3.65 % (25005)Time elapsed: 0.220 s
% 16.37/3.65 % (25005)Instructions burned: 432 (million)
% 16.37/3.65 % (25005)------------------------------
% 16.37/3.65 % (25005)------------------------------
% 16.37/3.66 % (25007)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_24747 for (2977ds/90Mi)
% 16.37/3.66 % (25007)Refutation not found, incomplete strategy
% 16.37/3.66 % (25007)------------------------------
% 16.37/3.66 % (25007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.37/3.66 % (25007)Termination reason: Refutation not found, incomplete strategy
% 16.37/3.66
% 16.37/3.66
% 16.37/3.66 % (25007)Memory used [KB]: 5628
% 16.37/3.66 % (25007)Time elapsed: 0.006 s
% 16.37/3.66 % (25007)Instructions burned: 9 (million)
% 16.37/3.66 % (25007)------------------------------
% 16.37/3.66 % (25007)------------------------------
% 16.37/3.67 % (25009)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_24747 for (2976ds/401Mi)
% 16.37/3.68 % (25008)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_24747 for (2976ds/346Mi)
% 16.37/3.69 % (25008)Refutation not found, incomplete strategy
% 16.37/3.69 % (25008)------------------------------
% 16.37/3.69 % (25008)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.37/3.69 % (25008)Termination reason: Refutation not found, incomplete strategy
% 16.37/3.69
% 16.37/3.69
% 16.37/3.69 % (25008)Memory used [KB]: 5756
% 16.37/3.69 % (25008)Time elapsed: 0.046 s
% 16.37/3.69 % (25008)Instructions burned: 29 (million)
% 16.37/3.69 % (25008)------------------------------
% 16.37/3.69 % (25008)------------------------------
% 17.04/3.71 % (25010)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_24747 for (2976ds/6454Mi)
% 17.04/3.71 % (24999)Instruction limit reached!
% 17.04/3.71 % (24999)------------------------------
% 17.04/3.71 % (24999)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.04/3.71 % (24999)Termination reason: Unknown
% 17.04/3.71 % (24999)Termination phase: Saturation
% 17.04/3.71
% 17.04/3.71 % (24999)Memory used [KB]: 2302
% 17.04/3.71 % (24999)Time elapsed: 0.323 s
% 17.04/3.71 % (24999)Instructions burned: 716 (million)
% 17.04/3.71 % (24999)------------------------------
% 17.04/3.71 % (24999)------------------------------
% 17.04/3.72 % (25010)Refutation not found, incomplete strategy
% 17.04/3.72 % (25010)------------------------------
% 17.04/3.72 % (25010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.04/3.72 % (25010)Termination reason: Refutation not found, incomplete strategy
% 17.04/3.72
% 17.04/3.72
% 17.04/3.72 % (25010)Memory used [KB]: 5628
% 17.04/3.72 % (25010)Time elapsed: 0.005 s
% 17.04/3.72 % (25010)Instructions burned: 7 (million)
% 17.04/3.72 % (25010)------------------------------
% 17.04/3.72 % (25010)------------------------------
% 17.04/3.73 % (25011)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_24747 for (2976ds/283Mi)
% 17.04/3.73 % (25012)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_24747 for (2976ds/865Mi)
% 17.04/3.74 % (25012)Refutation not found, incomplete strategy
% 17.04/3.74 % (25012)------------------------------
% 17.04/3.74 % (25012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.04/3.74 % (25012)Termination reason: Refutation not found, incomplete strategy
% 17.04/3.74
% 17.04/3.74
% 17.04/3.74 % (25012)Memory used [KB]: 5628
% 17.04/3.74 % (25012)Time elapsed: 0.007 s
% 17.04/3.74 % (25012)Instructions burned: 11 (million)
% 17.04/3.74 % (25012)------------------------------
% 17.04/3.74 % (25012)------------------------------
% 17.04/3.75 % (25013)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_24747 for (2975ds/4528Mi)
% 17.04/3.76 % (25013)Refutation not found, incomplete strategy
% 17.04/3.76 % (25013)------------------------------
% 17.04/3.76 % (25013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.04/3.76 % (25013)Termination reason: Refutation not found, incomplete strategy
% 17.04/3.76
% 17.04/3.76
% 17.04/3.76 % (25013)Memory used [KB]: 1151
% 17.04/3.76 % (25013)Time elapsed: 0.005 s
% 17.04/3.76 % (25013)Instructions burned: 7 (million)
% 17.04/3.76 % (25013)------------------------------
% 17.04/3.76 % (25013)------------------------------
% 17.04/3.77 % (25004)Instruction limit reached!
% 17.04/3.77 % (25004)------------------------------
% 17.04/3.77 % (25004)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.04/3.77 % (25004)Termination reason: Unknown
% 17.04/3.77 % (25004)Termination phase: Saturation
% 17.04/3.77
% 17.04/3.77 % (25004)Memory used [KB]: 8059
% 17.04/3.77 % (25004)Time elapsed: 0.358 s
% 17.04/3.77 % (25004)Instructions burned: 783 (million)
% 17.04/3.77 % (25004)------------------------------
% 17.04/3.77 % (25004)------------------------------
% 17.04/3.77 % (25014)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_24747 for (2975ds/1001Mi)
% 17.04/3.79 % (25015)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_24747 for (2975ds/102Mi)
% 17.04/3.79 % (25015)Refutation not found, incomplete strategy
% 17.04/3.79 % (25015)------------------------------
% 17.04/3.79 % (25015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.04/3.79 % (25015)Termination reason: Refutation not found, incomplete strategy
% 17.04/3.79
% 17.04/3.79
% 17.04/3.79 % (25015)Memory used [KB]: 5628
% 17.04/3.79 % (25015)Time elapsed: 0.007 s
% 17.04/3.79 % (25015)Instructions burned: 11 (million)
% 17.04/3.79 % (25015)------------------------------
% 17.04/3.79 % (25015)------------------------------
% 17.90/3.81 % (25016)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_24747 for (2975ds/952Mi)
% 17.90/3.83 % (25009)Instruction limit reached!
% 17.90/3.83 % (25009)------------------------------
% 17.90/3.83 % (25009)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.90/3.83 % (25009)Termination reason: Unknown
% 17.90/3.83 % (25009)Termination phase: Saturation
% 17.90/3.83
% 17.90/3.83 % (25009)Memory used [KB]: 6652
% 17.90/3.83 % (25009)Time elapsed: 0.157 s
% 17.90/3.83 % (25009)Instructions burned: 401 (million)
% 17.90/3.83 % (25009)------------------------------
% 17.90/3.83 % (25009)------------------------------
% 17.90/3.85 % (25017)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_24747 for (2974ds/578Mi)
% 17.90/3.86 % (25011)Instruction limit reached!
% 17.90/3.86 % (25011)------------------------------
% 17.90/3.86 % (25011)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.90/3.86 % (25011)Termination reason: Unknown
% 17.90/3.86 % (25011)Termination phase: Saturation
% 17.90/3.86
% 17.90/3.86 % (25011)Memory used [KB]: 6268
% 17.90/3.86 % (25011)Time elapsed: 0.131 s
% 17.90/3.86 % (25011)Instructions burned: 284 (million)
% 17.90/3.86 % (25011)------------------------------
% 17.90/3.86 % (25011)------------------------------
% 17.90/3.88 % (25018)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_24747 for (2974ds/643Mi)
% 18.31/3.99 % (25001)Instruction limit reached!
% 18.31/3.99 % (25001)------------------------------
% 18.31/3.99 % (25001)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.31/3.99 % (25001)Termination reason: Unknown
% 18.31/3.99 % (25001)Termination phase: Saturation
% 18.31/3.99
% 18.31/3.99 % (25001)Memory used [KB]: 9466
% 18.31/3.99 % (25001)Time elapsed: 0.602 s
% 18.31/3.99 % (25001)Instructions burned: 1214 (million)
% 18.31/3.99 % (25001)------------------------------
% 18.31/3.99 % (25001)------------------------------
% 18.31/4.02 % (25019)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_24747 for (2973ds/865Mi)
% 20.52/4.04 % (24945)Instruction limit reached!
% 20.52/4.04 % (24945)------------------------------
% 20.52/4.04 % (24945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.52/4.04 % (24945)Termination reason: Unknown
% 20.52/4.04 % (24945)Termination phase: Saturation
% 20.52/4.04
% 20.52/4.04 % (24945)Memory used [KB]: 12281
% 20.52/4.04 % (24945)Time elapsed: 1.974 s
% 20.52/4.04 % (24945)Instructions burned: 4352 (million)
% 20.52/4.04 % (24945)------------------------------
% 20.52/4.04 % (24945)------------------------------
% 20.52/4.06 % (25020)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_24747 for (2972ds/1174Mi)
% 20.52/4.06 % (25020)Refutation not found, incomplete strategy
% 20.52/4.06 % (25020)------------------------------
% 20.52/4.06 % (25020)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.52/4.06 % (25020)Termination reason: Refutation not found, incomplete strategy
% 20.52/4.06
% 20.52/4.06
% 20.52/4.06 % (25020)Memory used [KB]: 5628
% 20.52/4.06 % (25020)Time elapsed: 0.005 s
% 20.52/4.06 % (25020)Instructions burned: 6 (million)
% 20.52/4.06 % (25020)------------------------------
% 20.52/4.06 % (25020)------------------------------
% 20.52/4.08 % (25021)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_24747 for (2972ds/644Mi)
% 20.52/4.09 % (25021)Refutation not found, incomplete strategy
% 20.52/4.09 % (25021)------------------------------
% 20.52/4.09 % (25021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.52/4.09 % (25021)Termination reason: Refutation not found, incomplete strategy
% 20.52/4.09
% 20.52/4.09
% 20.52/4.09 % (25021)Memory used [KB]: 5628
% 20.52/4.09 % (25021)Time elapsed: 0.007 s
% 20.52/4.09 % (25021)Instructions burned: 11 (million)
% 20.52/4.09 % (25021)------------------------------
% 20.52/4.09 % (25021)------------------------------
% 20.52/4.10 % (25022)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_24747 for (2972ds/1201Mi)
% 20.52/4.11 % (25017)Instruction limit reached!
% 20.52/4.11 % (25017)------------------------------
% 20.52/4.11 % (25017)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.52/4.11 % (25017)Termination reason: Unknown
% 20.52/4.11 % (25017)Termination phase: Saturation
% 20.52/4.11
% 20.52/4.11 % (25017)Memory used [KB]: 7291
% 20.52/4.11 % (25017)Time elapsed: 0.268 s
% 20.52/4.11 % (25017)Instructions burned: 579 (million)
% 20.52/4.11 % (25017)------------------------------
% 20.52/4.11 % (25017)------------------------------
% 20.52/4.13 % (25023)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_24747 for (2972ds/1046Mi)
% 21.18/4.16 % (25018)Instruction limit reached!
% 21.18/4.16 % (25018)------------------------------
% 21.18/4.16 % (25018)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.18/4.16 % (25018)Termination reason: Unknown
% 21.18/4.16 % (25018)Termination phase: Saturation
% 21.18/4.16
% 21.18/4.16 % (25018)Memory used [KB]: 6780
% 21.18/4.16 % (25018)Time elapsed: 0.290 s
% 21.18/4.16 % (25018)Instructions burned: 643 (million)
% 21.18/4.16 % (25018)------------------------------
% 21.18/4.16 % (25018)------------------------------
% 21.18/4.18 % (25024)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_24747 for (2971ds/222Mi)
% 21.50/4.20 % (25002)Instruction limit reached!
% 21.50/4.20 % (25002)------------------------------
% 21.50/4.20 % (25002)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.50/4.20 % (25002)Termination reason: Unknown
% 21.50/4.20 % (25002)Termination phase: Saturation
% 21.50/4.20
% 21.50/4.20 % (25002)Memory used [KB]: 6652
% 21.50/4.20 % (25002)Time elapsed: 0.808 s
% 21.50/4.20 % (25002)Instructions burned: 1981 (million)
% 21.50/4.20 % (25002)------------------------------
% 21.50/4.20 % (25002)------------------------------
% 21.50/4.22 % (25025)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_24747 for (2971ds/68Mi)
% 21.50/4.23 % (25014)Instruction limit reached!
% 21.50/4.23 % (25014)------------------------------
% 21.50/4.23 % (25014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.50/4.23 % (25014)Termination reason: Unknown
% 21.50/4.23 % (25014)Termination phase: Saturation
% 21.50/4.23
% 21.50/4.23 % (25014)Memory used [KB]: 7164
% 21.50/4.23 % (25014)Time elapsed: 0.456 s
% 21.50/4.23 % (25014)Instructions burned: 1003 (million)
% 21.50/4.23 % (25014)------------------------------
% 21.50/4.23 % (25014)------------------------------
% 21.50/4.24 % (25016)Instruction limit reached!
% 21.50/4.24 % (25016)------------------------------
% 21.50/4.24 % (25016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.50/4.24 % (25016)Termination reason: Unknown
% 21.50/4.24 % (25016)Termination phase: Saturation
% 21.50/4.24
% 21.50/4.24 % (25016)Memory used [KB]: 8827
% 21.50/4.24 % (25016)Time elapsed: 0.439 s
% 21.50/4.24 % (25016)Instructions burned: 952 (million)
% 21.50/4.24 % (25016)------------------------------
% 21.50/4.24 % (25016)------------------------------
% 21.50/4.25 % (25026)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on DTF2THF_24747 for (2971ds/454Mi)
% 21.50/4.25 % (25025)Instruction limit reached!
% 21.50/4.25 % (25025)------------------------------
% 21.50/4.25 % (25025)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.50/4.25 % (25025)Termination reason: Unknown
% 21.50/4.25 % (25025)Termination phase: Saturation
% 21.50/4.25
% 21.50/4.25 % (25025)Memory used [KB]: 6140
% 21.50/4.25 % (25025)Time elapsed: 0.034 s
% 21.50/4.25 % (25025)Instructions burned: 69 (million)
% 21.50/4.25 % (25025)------------------------------
% 21.50/4.25 % (25025)------------------------------
% 21.50/4.26 % (25027)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_24747 for (2970ds/360Mi)
% 21.50/4.27 % (25028)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_24747 for (2970ds/157Mi)
% 21.50/4.29 % (25024)Instruction limit reached!
% 21.50/4.29 % (25024)------------------------------
% 21.50/4.29 % (25024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.50/4.29 % (25024)Termination reason: Unknown
% 21.50/4.29 % (25024)Termination phase: Saturation
% 21.50/4.29
% 21.50/4.29 % (25024)Memory used [KB]: 6268
% 21.50/4.29 % (25024)Time elapsed: 0.107 s
% 21.50/4.29 % (25024)Instructions burned: 223 (million)
% 21.50/4.29 % (25024)------------------------------
% 21.50/4.29 % (25024)------------------------------
% 21.87/4.30 % (25029)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_24747 for (2970ds/5061Mi)
% 21.87/4.34 % (25028)Instruction limit reached!
% 21.87/4.34 % (25028)------------------------------
% 21.87/4.34 % (25028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.87/4.34 % (25028)Termination reason: Unknown
% 21.87/4.34 % (25028)Termination phase: Saturation
% 21.87/4.34
% 21.87/4.34 % (25028)Memory used [KB]: 6396
% 21.87/4.34 % (25028)Time elapsed: 0.076 s
% 21.87/4.34 % (25028)Instructions burned: 158 (million)
% 21.87/4.34 % (25028)------------------------------
% 21.87/4.34 % (25028)------------------------------
% 21.87/4.36 % (25030)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_24747 for (2969ds/2401Mi)
% 22.08/4.42 % (25019)Instruction limit reached!
% 22.08/4.42 % (25019)------------------------------
% 22.08/4.42 % (25019)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.08/4.42 % (25019)Termination reason: Unknown
% 22.08/4.42 % (25019)Termination phase: Saturation
% 22.08/4.42
% 22.08/4.42 % (25019)Memory used [KB]: 9594
% 22.08/4.42 % (25019)Time elapsed: 0.414 s
% 22.08/4.42 % (25019)Instructions burned: 866 (million)
% 22.08/4.42 % (25019)------------------------------
% 22.08/4.42 % (25019)------------------------------
% 22.08/4.43 % (25027)Instruction limit reached!
% 22.08/4.43 % (25027)------------------------------
% 22.08/4.43 % (25027)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.08/4.43 % (25027)Termination reason: Unknown
% 22.08/4.43 % (25027)Termination phase: Saturation
% 22.08/4.43
% 22.08/4.43 % (25027)Memory used [KB]: 6396
% 22.08/4.43 % (25027)Time elapsed: 0.166 s
% 22.08/4.43 % (25027)Instructions burned: 361 (million)
% 22.08/4.43 % (25027)------------------------------
% 22.08/4.43 % (25027)------------------------------
% 22.08/4.43 % (25031)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_24747 for (2969ds/5798Mi)
% 22.08/4.44 % (25032)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_24747 for (2969ds/346Mi)
% 22.08/4.45 % (25026)Instruction limit reached!
% 22.08/4.45 % (25026)------------------------------
% 22.08/4.45 % (25026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.08/4.45 % (25026)Termination reason: Unknown
% 22.08/4.45 % (25026)Termination phase: Saturation
% 22.08/4.45
% 22.08/4.45 % (25026)Memory used [KB]: 11129
% 22.08/4.45 % (25026)Time elapsed: 0.210 s
% 22.08/4.45 % (25026)Instructions burned: 456 (million)
% 22.08/4.45 % (25026)------------------------------
% 22.08/4.45 % (25026)------------------------------
% 22.08/4.46 % (25032)Refutation not found, incomplete strategy
% 22.08/4.46 % (25032)------------------------------
% 22.08/4.46 % (25032)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.08/4.46 % (25032)Termination reason: Refutation not found, incomplete strategy
% 22.08/4.46
% 22.08/4.46
% 22.08/4.46 % (25032)Memory used [KB]: 5756
% 22.08/4.46 % (25032)Time elapsed: 0.016 s
% 22.08/4.46 % (25032)Instructions burned: 30 (million)
% 22.08/4.46 % (25032)------------------------------
% 22.08/4.46 % (25032)------------------------------
% 22.08/4.47 % (25033)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_24747 for (2968ds/1321Mi)
% 22.08/4.47 % (25034)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_24747 for (2968ds/1312Mi)
% 22.08/4.47 % (25033)Refutation not found, incomplete strategy
% 22.08/4.47 % (25033)------------------------------
% 22.08/4.47 % (25033)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.08/4.47 % (25033)Termination reason: Refutation not found, incomplete strategy
% 22.08/4.47
% 22.08/4.47
% 22.08/4.47 % (25033)Memory used [KB]: 1023
% 22.08/4.47 % (25033)Time elapsed: 0.004 s
% 22.08/4.47 % (25033)Instructions burned: 5 (million)
% 22.08/4.47 % (25033)------------------------------
% 22.08/4.47 % (25033)------------------------------
% 22.08/4.49 % (25035)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_24747 for (2968ds/672Mi)
% 22.56/4.61 % (25023)Instruction limit reached!
% 22.56/4.61 % (25023)------------------------------
% 22.56/4.61 % (25023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.56/4.61 % (25023)Termination reason: Unknown
% 22.56/4.61 % (25023)Termination phase: Saturation
% 22.56/4.61
% 22.56/4.61 % (25023)Memory used [KB]: 9338
% 22.56/4.61 % (25023)Time elapsed: 0.480 s
% 22.56/4.61 % (25023)Instructions burned: 1047 (million)
% 22.56/4.61 % (25023)------------------------------
% 22.56/4.61 % (25023)------------------------------
% 22.56/4.63 % (25036)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_24747 for (2967ds/1897Mi)
% 22.56/4.63 % (25036)Refutation not found, incomplete strategy
% 22.56/4.63 % (25036)------------------------------
% 22.56/4.63 % (25036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.56/4.63 % (25036)Termination reason: Refutation not found, incomplete strategy
% 22.56/4.63
% 22.56/4.63
% 22.56/4.63 % (25036)Memory used [KB]: 5628
% 22.56/4.63 % (25036)Time elapsed: 0.006 s
% 22.56/4.63 % (25036)Instructions burned: 8 (million)
% 22.56/4.63 % (25036)------------------------------
% 22.56/4.63 % (25036)------------------------------
% 22.56/4.65 % (25037)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_24747 for (2967ds/1202Mi)
% 22.56/4.67 % (25022)Instruction limit reached!
% 22.56/4.67 % (25022)------------------------------
% 22.56/4.67 % (25022)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.56/4.67 % (25022)Termination reason: Unknown
% 22.56/4.67 % (25022)Termination phase: Saturation
% 22.56/4.67
% 22.56/4.67 % (25022)Memory used [KB]: 7547
% 22.56/4.67 % (25022)Time elapsed: 0.568 s
% 22.56/4.67 % (25022)Instructions burned: 1201 (million)
% 22.56/4.67 % (25022)------------------------------
% 22.56/4.67 % (25022)------------------------------
% 22.56/4.69 % (25038)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_24747 for (2966ds/1493Mi)
% 22.56/4.69 % (25038)Refutation not found, incomplete strategy
% 22.56/4.69 % (25038)------------------------------
% 22.56/4.69 % (25038)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.56/4.69 % (25038)Termination reason: Refutation not found, incomplete strategy
% 22.56/4.69
% 22.56/4.69
% 22.56/4.69 % (25038)Memory used [KB]: 5628
% 22.56/4.69 % (25038)Time elapsed: 0.006 s
% 22.56/4.69 % (25038)Instructions burned: 9 (million)
% 22.56/4.69 % (25038)------------------------------
% 22.56/4.69 % (25038)------------------------------
% 23.68/4.71 % (25039)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on DTF2THF_24747 for (2966ds/7679Mi)
% 23.68/4.80 % (25035)Instruction limit reached!
% 23.68/4.80 % (25035)------------------------------
% 23.68/4.80 % (25035)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.68/4.80 % (25035)Termination reason: Unknown
% 23.68/4.80 % (25035)Termination phase: Saturation
% 23.68/4.80
% 23.68/4.80 % (25035)Memory used [KB]: 8571
% 23.68/4.80 % (25035)Time elapsed: 0.311 s
% 23.68/4.80 % (25035)Instructions burned: 672 (million)
% 23.68/4.80 % (25035)------------------------------
% 23.68/4.80 % (25035)------------------------------
% 23.68/4.82 % (25040)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on DTF2THF_24747 for (2965ds/340Mi)
% 24.00/4.97 % (25040)Instruction limit reached!
% 24.00/4.97 % (25040)------------------------------
% 24.00/4.97 % (25040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.00/4.97 % (25040)Termination reason: Unknown
% 24.00/4.97 % (25040)Termination phase: Saturation
% 24.00/4.97
% 24.00/4.97 % (25040)Memory used [KB]: 6780
% 24.00/4.97 % (25040)Time elapsed: 0.158 s
% 24.00/4.97 % (25040)Instructions burned: 340 (million)
% 24.00/4.97 % (25040)------------------------------
% 24.00/4.97 % (25040)------------------------------
% 24.00/4.99 % (25041)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on DTF2THF_24747 for (2963ds/3672Mi)
% 24.00/4.99 % (25041)Refutation not found, incomplete strategy
% 24.00/4.99 % (25041)------------------------------
% 24.00/4.99 % (25041)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.00/4.99 % (25041)Termination reason: Refutation not found, incomplete strategy
% 24.00/4.99
% 24.00/4.99
% 24.00/4.99 % (25041)Memory used [KB]: 5756
% 24.00/4.99 % (25041)Time elapsed: 0.007 s
% 24.00/4.99 % (25041)Instructions burned: 9 (million)
% 24.00/4.99 % (25041)------------------------------
% 24.00/4.99 % (25041)------------------------------
% 24.00/5.01 % (25042)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on DTF2THF_24747 for (2963ds/1535Mi)
% 27.49/5.08 % (25034)Instruction limit reached!
% 27.49/5.08 % (25034)------------------------------
% 27.49/5.08 % (25034)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.49/5.08 % (25034)Termination reason: Unknown
% 27.49/5.08 % (25034)Termination phase: Saturation
% 27.49/5.08
% 27.49/5.08 % (25034)Memory used [KB]: 9338
% 27.49/5.08 % (25034)Time elapsed: 0.604 s
% 27.49/5.08 % (25034)Instructions burned: 1313 (million)
% 27.49/5.08 % (25034)------------------------------
% 27.49/5.08 % (25034)------------------------------
% 27.49/5.09 % (25043)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on DTF2THF_24747 for (2962ds/4637Mi)
% 28.59/5.21 % (25037)Instruction limit reached!
% 28.59/5.21 % (25037)------------------------------
% 28.59/5.21 % (25037)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.59/5.21 % (25037)Termination reason: Unknown
% 28.59/5.21 % (25037)Termination phase: Saturation
% 28.59/5.21
% 28.59/5.21 % (25037)Memory used [KB]: 4733
% 28.59/5.21 % (25037)Time elapsed: 0.568 s
% 28.59/5.21 % (25037)Instructions burned: 1203 (million)
% 28.59/5.21 % (25037)------------------------------
% 28.59/5.21 % (25037)------------------------------
% 28.59/5.23 % (25044)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_24747 for (2961ds/3174Mi)
% 29.61/5.42 % (25030)Instruction limit reached!
% 29.61/5.42 % (25030)------------------------------
% 29.61/5.42 % (25030)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.61/5.42 % (25030)Termination reason: Unknown
% 29.61/5.42 % (25030)Termination phase: Saturation
% 29.61/5.42
% 29.61/5.42 % (25030)Memory used [KB]: 7164
% 29.61/5.42 % (25030)Time elapsed: 1.062 s
% 29.61/5.42 % (25030)Instructions burned: 2401 (million)
% 29.61/5.42 % (25030)------------------------------
% 29.61/5.42 % (25030)------------------------------
% 29.61/5.44 % (25045)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_24747 for (2959ds/307Mi)
% 29.61/5.45 % (25045)Refutation not found, incomplete strategy
% 29.61/5.45 % (25045)------------------------------
% 29.61/5.45 % (25045)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.61/5.45 % (25045)Termination reason: Refutation not found, incomplete strategy
% 29.61/5.45
% 29.61/5.45
% 29.61/5.45 % (25045)Memory used [KB]: 5628
% 29.61/5.45 % (25045)Time elapsed: 0.034 s
% 29.61/5.45 % (25045)Instructions burned: 20 (million)
% 29.61/5.45 % (25045)------------------------------
% 29.61/5.45 % (25045)------------------------------
% 29.61/5.46 % (25046)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on DTF2THF_24747 for (2958ds/3619Mi)
% 29.61/5.47 % (25046)Refutation not found, incomplete strategy
% 29.61/5.47 % (25046)------------------------------
% 29.61/5.47 % (25046)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.61/5.47 % (25046)Termination reason: Refutation not found, incomplete strategy
% 29.61/5.47
% 29.61/5.47
% 29.61/5.47 % (25046)Memory used [KB]: 5500
% 29.61/5.47 % (25046)Time elapsed: 0.004 s
% 29.61/5.47 % (25046)Instructions burned: 5 (million)
% 29.61/5.47 % (25046)------------------------------
% 29.61/5.47 % (25046)------------------------------
% 29.61/5.48 % (25047)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_24747 for (2958ds/2325Mi)
% 29.61/5.49 % (25047)Refutation not found, incomplete strategy
% 29.61/5.49 % (25047)------------------------------
% 29.61/5.49 % (25047)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.61/5.49 % (25047)Termination reason: Refutation not found, incomplete strategy
% 29.61/5.49
% 29.61/5.49
% 29.61/5.49 % (25047)Memory used [KB]: 5628
% 29.61/5.49 % (25047)Time elapsed: 0.007 s
% 29.61/5.49 % (25047)Instructions burned: 10 (million)
% 29.61/5.49 % (25047)------------------------------
% 29.61/5.49 % (25047)------------------------------
% 30.12/5.50 % (25048)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on DTF2THF_24747 for (2958ds/2341Mi)
% 30.12/5.51 % (25048)Refutation not found, incomplete strategy
% 30.12/5.51 % (25048)------------------------------
% 30.12/5.51 % (25048)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.12/5.51 % (25048)Termination reason: Refutation not found, incomplete strategy
% 30.12/5.51
% 30.12/5.51
% 30.12/5.51 % (25048)Memory used [KB]: 5628
% 30.12/5.51 % (25048)Time elapsed: 0.006 s
% 30.12/5.51 % (25048)Instructions burned: 9 (million)
% 30.12/5.51 % (25048)------------------------------
% 30.12/5.51 % (25048)------------------------------
% 30.12/5.53 % (25049)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on DTF2THF_24747 for (2958ds/7257Mi)
% 30.94/5.70 % (25042)Instruction limit reached!
% 30.94/5.70 % (25042)------------------------------
% 30.94/5.70 % (25042)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.94/5.70 % (25042)Termination reason: Unknown
% 30.94/5.70 % (25042)Termination phase: Saturation
% 30.94/5.70
% 30.94/5.70 % (25042)Memory used [KB]: 9083
% 30.94/5.70 % (25042)Time elapsed: 0.714 s
% 30.94/5.70 % (25042)Instructions burned: 1535 (million)
% 30.94/5.70 % (25042)------------------------------
% 30.94/5.70 % (25042)------------------------------
% 30.94/5.72 % (25050)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on DTF2THF_24747 for (2956ds/3710Mi)
% 30.94/5.80 % (25029)Instruction limit reached!
% 30.94/5.80 % (25029)------------------------------
% 30.94/5.80 % (25029)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.94/5.80 % (25029)Termination reason: Unknown
% 30.94/5.80 % (25029)Termination phase: Saturation
% 30.94/5.80
% 30.94/5.80 % (25029)Memory used [KB]: 7036
% 30.94/5.80 % (25029)Time elapsed: 1.496 s
% 30.94/5.80 % (25029)Instructions burned: 5064 (million)
% 30.94/5.80 % (25029)------------------------------
% 30.94/5.80 % (25029)------------------------------
% 31.25/5.81 % (25051)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on DTF2THF_24747 for (2955ds/326Mi)
% 31.46/5.97 % (25051)Instruction limit reached!
% 31.46/5.97 % (25051)------------------------------
% 31.46/5.97 % (25051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.46/5.97 % (25051)Termination reason: Unknown
% 31.46/5.97 % (25051)Termination phase: Saturation
% 31.46/5.97
% 31.46/5.97 % (25051)Memory used [KB]: 7164
% 31.46/5.97 % (25051)Time elapsed: 0.156 s
% 31.46/5.97 % (25051)Instructions burned: 326 (million)
% 31.46/5.97 % (25051)------------------------------
% 31.46/5.97 % (25051)------------------------------
% 31.46/5.98 % (25052)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on DTF2THF_24747 for (2953ds/1100Mi)
% 31.46/5.99 % (25052)Refutation not found, incomplete strategy
% 31.46/5.99 % (25052)------------------------------
% 31.46/5.99 % (25052)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.46/5.99 % (25052)Termination reason: Refutation not found, incomplete strategy
% 31.46/5.99
% 31.46/5.99
% 31.46/5.99 % (25052)Memory used [KB]: 5628
% 31.46/5.99 % (25052)Time elapsed: 0.012 s
% 31.46/5.99 % (25052)Instructions burned: 20 (million)
% 31.46/5.99 % (25052)------------------------------
% 31.46/5.99 % (25052)------------------------------
% 31.46/6.01 % (25053)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_24747 for (2953ds/406Mi)
% 35.69/6.21 % (25053)Instruction limit reached!
% 35.69/6.21 % (25053)------------------------------
% 35.69/6.21 % (25053)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.69/6.21 % (25053)Termination reason: Unknown
% 35.69/6.21 % (25053)Termination phase: Saturation
% 35.69/6.21
% 35.69/6.21 % (25053)Memory used [KB]: 6780
% 35.69/6.21 % (25053)Time elapsed: 0.203 s
% 35.69/6.21 % (25053)Instructions burned: 406 (million)
% 35.69/6.21 % (25053)------------------------------
% 35.69/6.21 % (25053)------------------------------
% 35.69/6.23 % (25054)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on DTF2THF_24747 for (2951ds/1871Mi)
% 36.31/6.38 % (25044)Instruction limit reached!
% 36.31/6.38 % (25044)------------------------------
% 36.31/6.38 % (25044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.31/6.38 % (25044)Termination reason: Unknown
% 36.31/6.38 % (25044)Termination phase: Saturation
% 36.31/6.38
% 36.31/6.38 % (25044)Memory used [KB]: 7291
% 36.31/6.38 % (25044)Time elapsed: 1.177 s
% 36.31/6.38 % (25044)Instructions burned: 3175 (million)
% 36.31/6.38 % (25044)------------------------------
% 36.31/6.38 % (25044)------------------------------
% 36.31/6.40 % (25055)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on DTF2THF_24747 for (2949ds/1194Mi)
% 37.90/6.67 % (25031)First to succeed.
% 37.90/6.68 % (25031)Refutation found. Thanks to Tanya!
% 37.90/6.68 % SZS status Theorem for DTF2THF_24747
% 37.90/6.68 % SZS output start Proof for DTF2THF_24747
% 37.90/6.68 thf(type_def_5, type, 'type/realax/real': $tType).
% 37.90/6.68 thf(type_def_7, type, 'type/nums/num': $tType).
% 37.90/6.68 thf(func_def_0, type, 'type/realax/real': $tType).
% 37.90/6.68 thf(func_def_1, type, 'type/nums/num': $tType).
% 37.90/6.68 thf(func_def_2, type, 'const/realax/real_sub': 'type/realax/real' > 'type/realax/real' > 'type/realax/real').
% 37.90/6.68 thf(func_def_3, type, 'const/realax/real_of_num': 'type/nums/num' > 'type/realax/real').
% 37.90/6.68 thf(func_def_4, type, 'const/realax/real_mul': 'type/realax/real' > 'type/realax/real' > 'type/realax/real').
% 37.90/6.68 thf(func_def_5, type, 'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num').
% 37.90/6.68 thf(func_def_6, type, 'const/nums/BIT1': 'type/nums/num' > 'type/nums/num').
% 37.90/6.68 thf(func_def_7, type, 'const/nums/_0': 'type/nums/num').
% 37.90/6.68 thf(func_def_8, type, 'const/iterate/sum': !>[X0: $tType]:((X0 > $o) > (X0 > 'type/realax/real') > 'type/realax/real')).
% 37.90/6.68 thf(func_def_9, type, 'const/iterate/..': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' > $o).
% 37.90/6.68 thf(func_def_10, type, 'const/class/COND': !>[X0: $tType]:($o > X0 > X0 > X0)).
% 37.90/6.68 thf(func_def_11, type, 'const/arith/+': 'type/nums/num' > 'type/nums/num' > 'type/nums/num').
% 37.90/6.68 thf(func_def_12, type, 'const/arith/-': 'type/nums/num' > 'type/nums/num' > 'type/nums/num').
% 37.90/6.68 thf(func_def_13, type, 'const/arith/<=': 'type/nums/num' > 'type/nums/num' > $o).
% 37.90/6.68 thf(func_def_19, type, sK0: 'type/nums/num' > 'type/realax/real').
% 37.90/6.68 thf(func_def_20, type, sK1: 'type/nums/num' > 'type/realax/real').
% 37.90/6.68 thf(func_def_21, type, sK2: 'type/nums/num').
% 37.90/6.68 thf(func_def_22, type, sK3: 'type/nums/num').
% 37.90/6.68 thf(func_def_23, type, ph4: !>[X0: $tType]:(X0)).
% 37.90/6.68 thf(func_def_24, type, sK5: ('type/nums/num' > 'type/nums/num') > ('type/nums/num' > 'type/nums/num') > 'type/nums/num').
% 37.90/6.68 thf(func_def_25, type, sK6: ('type/nums/num' > 'type/nums/num') > ('type/nums/num' > 'type/nums/num') > 'type/nums/num').
% 37.90/6.68 thf(func_def_26, type, sK7: ('type/nums/num' > 'type/realax/real') > ('type/nums/num' > 'type/realax/real') > ('type/nums/num' > 'type/realax/real') > ('type/nums/num' > 'type/realax/real') > 'type/nums/num').
% 37.90/6.68 thf(func_def_27, type, sK8: ('type/nums/num' > 'type/realax/real') > ('type/nums/num' > 'type/realax/real') > ('type/nums/num' > 'type/realax/real') > ('type/nums/num' > 'type/realax/real') > 'type/nums/num').
% 37.90/6.68 thf(func_def_28, type, sK9: ('type/nums/num' > 'type/nums/num' > 'type/nums/num') > ('type/nums/num' > 'type/nums/num' > 'type/nums/num') > 'type/nums/num').
% 37.90/6.68 thf(func_def_30, type, sK10: ('type/nums/num' > 'type/nums/num' > 'type/nums/num') > ('type/nums/num' > 'type/nums/num' > 'type/nums/num') > 'type/nums/num').
% 37.90/6.68 thf(func_def_31, type, sK11: ('type/nums/num' > 'type/nums/num') > 'type/nums/num').
% 37.90/6.68 thf(func_def_32, type, sK12: ('type/nums/num' > 'type/nums/num') > ('type/nums/num' > 'type/nums/num') > 'type/nums/num').
% 37.90/6.68 thf(func_def_33, type, sK13: ('type/nums/num' > 'type/realax/real') > ('type/nums/num' > 'type/realax/real') > 'type/nums/num').
% 37.90/6.68 thf(func_def_34, type, sK14: ('type/nums/num' > 'type/nums/num') > ('type/nums/num' > 'type/nums/num') > 'type/nums/num').
% 37.90/6.68 thf(func_def_35, type, sK15: ('type/nums/num' > 'type/realax/real') > ('type/nums/num' > 'type/realax/real') > ('type/nums/num' > 'type/realax/real') > ('type/nums/num' > 'type/realax/real') > 'type/nums/num').
% 37.90/6.68 thf(func_def_36, type, sK16: ('type/nums/num' > 'type/realax/real') > ('type/nums/num' > 'type/realax/real') > ('type/nums/num' > 'type/realax/real') > ('type/nums/num' > 'type/realax/real') > 'type/nums/num').
% 37.90/6.68 thf(func_def_37, type, sK17: ('type/nums/num' > 'type/nums/num' > 'type/nums/num') > ('type/nums/num' > 'type/nums/num' > 'type/nums/num') > 'type/nums/num').
% 37.90/6.68 thf(func_def_38, type, sK18: ('type/nums/num' > 'type/nums/num' > 'type/nums/num') > ('type/nums/num' > 'type/nums/num' > 'type/nums/num') > 'type/nums/num').
% 37.90/6.68 thf(func_def_39, type, sK19: ('type/nums/num' > 'type/nums/num' > 'type/nums/num') > ('type/nums/num' > 'type/nums/num' > 'type/nums/num') > 'type/nums/num').
% 37.90/6.68 thf(func_def_40, type, sK20: ('type/nums/num' > 'type/nums/num') > ('type/nums/num' > 'type/nums/num') > 'type/nums/num').
% 37.90/6.68 thf(func_def_41, type, sK21: ('type/nums/num' > 'type/nums/num') > 'type/nums/num').
% 37.90/6.68 thf(f2086,plain,(
% 37.90/6.68 $false),
% 37.90/6.68 inference(trivial_inequality_removal,[status(thm)],[f2021])).
% 37.90/6.68 thf(f2021,plain,(
% 37.90/6.68 ($true = $false)),
% 37.90/6.68 inference(backward_demodulation,[status(thm)],[f449,f1975])).
% 37.90/6.68 thf(f1975,plain,(
% 37.90/6.68 (('const/arith/<=' @ sK2 @ sK3) = $false)),
% 37.90/6.68 inference(equality_resolution,[status(thm)],[f1930])).
% 37.90/6.68 thf(f1930,plain,(
% 37.90/6.68 ( ! [X0 : 'type/nums/num'] : ((('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X0) | (('const/arith/<=' @ sK2 @ sK3) = $false)) )),
% 37.90/6.68 inference(trivial_inequality_removal,[status(thm)],[f1929])).
% 37.90/6.68 thf(f1929,plain,(
% 37.90/6.68 ( ! [X0 : 'type/nums/num'] : ((('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ sK2 @ sK3)) | (('const/arith/<=' @ sK2 @ sK3) = $false) | (sK3 != sK3) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X0)) )),
% 37.90/6.68 inference(equality_resolution,[status(thm)],[f1885])).
% 37.90/6.68 thf(f1885,plain,(
% 37.90/6.68 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/arith/+' @ X0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (sK3 != X0) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X1) | (('const/iterate/..' @ sK2 @ X0) != ('const/iterate/..' @ sK2 @ sK3)) | (('const/arith/<=' @ sK2 @ X0) = $false)) )),
% 37.90/6.68 inference(trivial_inequality_removal,[status(thm)],[f1884])).
% 37.90/6.68 thf(f1884,plain,(
% 37.90/6.68 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/iterate/..' @ sK2 @ X0) != ('const/iterate/..' @ sK2 @ sK3)) | (('const/arith/<=' @ sK2 @ X0) = $false) | (sK3 != X0) | (('const/arith/+' @ X0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (sK2 != sK2) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X1)) )),
% 37.90/6.68 inference(equality_resolution,[status(thm)],[f1842])).
% 37.90/6.68 thf(f1842,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/-' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (sK2 != X1) | (('const/arith/+' @ X0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (sK3 != X0) | ($false = ('const/arith/<=' @ X1 @ X0)) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X2) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X1 @ X0))) )),
% 37.90/6.68 inference(superposition,[status(thm)],[f1800,f13])).
% 37.90/6.68 thf(f13,plain,(
% 37.90/6.68 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/arith/-' @ ('const/arith/+' @ X0 @ X1) @ X1) = X0)) )),
% 37.90/6.68 inference(cnf_transformation,[status(thm)],[f1])).
% 37.90/6.68 thf(f1,axiom,(
% 37.90/6.68 ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (('const/arith/-' @ ('const/arith/+' @ X0 @ X1) @ X1) = X0)),
% 37.90/6.68 file('/export/starexec/sandbox2/tmp/tmp.Epry2Cjoh7/DTF2THF_24747.p','thm/arith/ADD_SUB_')).
% 37.90/6.68 thf(f1800,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/arith/-' @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != sK3) | (sK2 != X2) | (('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X0) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X2 @ X1)) | (('const/arith/-' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ($false = ('const/arith/<=' @ X2 @ X1))) )),
% 37.90/6.68 inference(trivial_inequality_removal,[status(thm)],[f1799])).
% 37.90/6.68 thf(f1799,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ($false = ('const/arith/<=' @ X2 @ X1)) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X2 @ X1)) | (('const/arith/-' @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != sK3) | (sK2 != X2) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X0) | ('const/nums/_0' != 'const/nums/_0') | (('const/arith/-' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) )),
% 37.90/6.68 inference(duplicate_literal_removal,[status(thm)],[f1798])).
% 37.90/6.68 thf(f1798,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X0) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X0) | (('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X2 @ X1)) | (('const/arith/-' @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != sK3) | (('const/arith/-' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (sK2 != X2) | ('const/nums/_0' != 'const/nums/_0') | ($false = ('const/arith/<=' @ X2 @ X1))) )),
% 37.90/6.68 inference(beta_eta_normalization,[status(thm)],[f1797])).
% 37.90/6.68 thf(f1797,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X0) | ($false = ('const/arith/<=' @ X2 @ X1)) | (('const/arith/-' @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ ((^[Y0 : 'type/nums/num']: ('const/nums/_0')) @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) != sK3) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X2 @ X1)) | (sK2 != X2) | ('const/nums/_0' != ((^[Y0 : 'type/nums/num']: ('const/nums/_0')) @ ('const/arith/+' @ (sK21 @ (^[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'))))) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ ((^[Y0 : 'type/nums/num']: ('const/nums/_0')) @ ('const/arith/+' @ (sK6 @ (^[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) | (('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/-' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ ((^[Y0 : 'type/nums/num']: ('const/nums/_0')) @ X2))))) | (('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) )),
% 37.90/6.68 inference(equality_resolution,[status(thm)],[f1762])).
% 37.90/6.68 thf(f1762,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num'] : ((('const/realax/real_mul' @ (sK0 @ (sK21 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ Y0)))))) @ ('const/realax/real_sub' @ (sK1 @ (sK21 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ Y0)))))) @ (sK1 @ ('const/arith/-' @ (sK21 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ Y0))))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ (sK21 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ Y0)))))))))))) != ('const/realax/real_mul' @ (sK0 @ (sK21 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ Y0)))))) @ ('const/realax/real_sub' @ (sK1 @ (sK21 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ Y0)))))) @ (sK1 @ ('const/arith/-' @ (sK21 @ (^[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/-' @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) != sK3) | (sK2 != X2) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ ('const/arith/+' @ (sK6 @ (^[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/arith/-' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ X2)))) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ('const/nums/_0' != (X0 @ ('const/arith/+' @ (sK21 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ Y0))))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) | (('const/arith/<=' @ X2 @ X3) = $false) | (('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/iterate/..' @ X2 @ X3) != ('const/iterate/..' @ sK2 @ sK3))) )),
% 37.90/6.68 inference(beta_eta_normalization,[status(thm)],[f1758])).
% 37.90/6.68 thf(f1758,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num'] : ((('const/iterate/..' @ X2 @ X3) != ('const/iterate/..' @ sK2 @ sK3)) | (((^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ((^[Y1 : 'type/nums/num']: ('const/nums/BIT1' @ (X0 @ Y1))) @ Y0))) @ ('const/arith/+' @ (sK6 @ (^[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) | (('const/arith/-' @ X2 @ ((^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ((^[Y1 : 'type/nums/num']: ('const/nums/BIT1' @ (X0 @ Y1))) @ Y0))) @ X2)) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/arith/<=' @ X2 @ X3) = $false) | (('const/arith/-' @ ('const/arith/+' @ X3 @ ('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/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) != sK3) | (('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/realax/real_mul' @ (sK0 @ (sK21 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ((^[Y1 : 'type/nums/num']: ('const/nums/BIT1' @ (X0 @ Y1))) @ Y0))))) @ ('const/realax/real_sub' @ (sK1 @ (sK21 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ((^[Y1 : 'type/nums/num']: ('const/nums/BIT1' @ (X0 @ Y1))) @ Y0))))) @ (sK1 @ ('const/arith/-' @ (sK21 @ (^[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))) @ (sK21 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ((^[Y1 : 'type/nums/num']: ('const/nums/BIT1' @ (X0 @ Y1))) @ Y0))))))))) != ('const/realax/real_mul' @ (sK0 @ (sK21 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ((^[Y1 : 'type/nums/num']: ('const/nums/BIT1' @ (X0 @ Y1))) @ Y0))))) @ ('const/realax/real_sub' @ (sK1 @ (sK21 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ((^[Y1 : 'type/nums/num']: ('const/nums/BIT1' @ (X0 @ Y1))) @ Y0))))) @ (sK1 @ ('const/arith/-' @ (sK21 @ (^[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'))))))) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X1) | ('const/nums/_0' != (X0 @ ('const/arith/+' @ (sK21 @ (^[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'))))) | (sK2 != X2)) )),
% 37.90/6.68 inference(constrained_superposition,[status(thm)],[f1721,f13])).
% 37.90/6.68 thf(f1721,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/realax/real_mul' @ (sK0 @ (sK21 @ X2)) @ ('const/realax/real_sub' @ (sK1 @ ('const/arith/-' @ ('const/arith/+' @ (sK21 @ X2) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X2 @ ('const/arith/+' @ (sK21 @ X2) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))) @ (sK1 @ ('const/arith/-' @ (sK21 @ X2) @ (X2 @ (sK21 @ X2)))))) != ('const/realax/real_mul' @ (sK0 @ (sK21 @ X2)) @ ('const/realax/real_sub' @ (sK1 @ (sK21 @ X2)) @ (sK1 @ ('const/arith/-' @ (sK21 @ X2) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X3) | (('const/arith/<=' @ X0 @ X1) = $false) | (('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/arith/-' @ X0 @ (X2 @ X0)) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/arith/-' @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X2 @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) != sK3) | (sK2 != X0) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X0 @ X1)) | ((X2 @ ('const/arith/+' @ (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X2 @ Y0))) @ (^[Y0 : 'type/nums/num']: (Y0))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != X3)) )),
% 37.90/6.68 inference(beta_eta_normalization,[status(thm)],[f1720])).
% 37.90/6.68 thf(f1720,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((sK2 != X0) | (((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ ('const/arith/-' @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X2 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))) @ (sK1 @ ('const/arith/-' @ Y0 @ (X2 @ Y0)))))) @ (sK21 @ X2)) != ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) @ (sK21 @ X2))) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X3) | (('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/arith/-' @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X2 @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) != sK3) | (('const/arith/-' @ X0 @ (X2 @ X0)) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ((X2 @ ('const/arith/+' @ (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X2 @ Y0))) @ (^[Y0 : 'type/nums/num']: (Y0))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != X3) | (('const/arith/<=' @ X0 @ X1) = $false) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X0 @ X1))) )),
% 37.90/6.68 inference(negative_extensionality,[status(thm)],[f1675])).
% 37.90/6.68 thf(f1675,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num'] : (((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('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' @ (sK1 @ ('const/arith/-' @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X2 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))) @ (sK1 @ ('const/arith/-' @ Y0 @ (X2 @ Y0))))))) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X3) | (('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X0 @ X1)) | (sK2 != X0) | (('const/arith/<=' @ X0 @ X1) = $false) | (('const/arith/-' @ X0 @ (X2 @ X0)) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/arith/-' @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X2 @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) != sK3) | ((X2 @ ('const/arith/+' @ (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X2 @ Y0))) @ (^[Y0 : 'type/nums/num']: (Y0))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != X3)) )),
% 37.90/6.68 inference(beta_eta_normalization,[status(thm)],[f1674])).
% 37.90/6.68 thf(f1674,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((sK2 != ((^[Y0 : 'type/nums/num']: (Y0)) @ X0)) | (((^[Y0 : 'type/nums/num']: (Y0)) @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/arith/<=' @ X0 @ X1) = $false) | (('const/arith/-' @ X0 @ (X2 @ X0)) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ((X2 @ ('const/arith/+' @ (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X2 @ Y0))) @ (^[Y0 : 'type/nums/num']: (Y0))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != X3) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0)) @ ('const/realax/real_sub' @ (sK1 @ ('const/arith/-' @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X2 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))) @ (sK1 @ ('const/arith/-' @ Y0 @ (X2 @ Y0)))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X3) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X0 @ X1)) | (('const/arith/-' @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X2 @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) != sK3)) )),
% 37.90/6.68 inference(trivial_inequality_removal,[status(thm)],[f1670])).
% 37.90/6.68 thf(f1670,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num'] : (((sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X2 @ Y0))) @ (^[Y0 : 'type/nums/num']: (Y0))) != (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X2 @ Y0))) @ (^[Y0 : 'type/nums/num']: (Y0)))) | (('const/arith/-' @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X2 @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) != sK3) | ((X2 @ ('const/arith/+' @ (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X2 @ Y0))) @ (^[Y0 : 'type/nums/num']: (Y0))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != X3) | (('const/arith/-' @ X0 @ (X2 @ X0)) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (((^[Y0 : 'type/nums/num']: (Y0)) @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X0 @ X1)) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0)) @ ('const/realax/real_sub' @ (sK1 @ ('const/arith/-' @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X2 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))) @ (sK1 @ ('const/arith/-' @ Y0 @ (X2 @ Y0)))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) | (('const/arith/<=' @ X0 @ X1) = $false) | (sK2 != ((^[Y0 : 'type/nums/num']: (Y0)) @ X0)) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X3)) )),
% 37.90/6.68 inference(equality_resolution,[status(thm)],[f1060])).
% 37.90/6.68 thf(f1060,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num' > 'type/nums/num',X4 : 'type/nums/num',X5 : 'type/nums/num'] : ((('const/realax/real_mul' @ (sK1 @ X3) @ ('const/realax/real_sub' @ (sK0 @ (X1 @ ('const/arith/+' @ (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X0 @ Y0))) @ X1) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK0 @ (X1 @ (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X0 @ Y0))) @ X1))))) != ('const/realax/real_mul' @ (sK1 @ (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X0 @ Y0))) @ X1)) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X0 @ Y0))) @ X1) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X0 @ Y0))) @ X1))))) | (sK2 != (X1 @ X4)) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X4 @ X5)) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ (X1 @ Y0)) @ ('const/realax/real_sub' @ (sK1 @ ('const/arith/-' @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))) @ (sK1 @ ('const/arith/-' @ Y0 @ (X0 @ Y0))))))) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X2) | ($false = ('const/arith/<=' @ X4 @ X5)) | (('const/arith/-' @ X4 @ (X0 @ X4)) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ((X1 @ ('const/arith/+' @ X5 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ((sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X0 @ Y0))) @ X1) != X3) | (('const/arith/-' @ ('const/arith/+' @ X5 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X0 @ ('const/arith/+' @ X5 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) != sK3) | ((X0 @ ('const/arith/+' @ (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X0 @ Y0))) @ X1) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != X2)) )),
% 37.90/6.68 inference(beta_eta_normalization,[status(thm)],[f1052])).
% 37.90/6.68 thf(f1052,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num' > 'type/nums/num',X4 : 'type/nums/num',X5 : 'type/nums/num'] : ((((^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ ('const/arith/+' @ X5 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != sK3) | (sK2 != (X1 @ X4)) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X2) | ($false = ('const/arith/<=' @ X4 @ X5)) | (((^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ X4) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X4 @ X5)) | ((X1 @ ('const/arith/+' @ X5 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ((X0 @ ('const/arith/+' @ (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != X2) | (('const/realax/real_mul' @ (sK1 @ (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1)) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1)))) != ('const/realax/real_mul' @ (sK1 @ X3) @ ('const/realax/real_sub' @ (sK0 @ (X1 @ ('const/arith/+' @ (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK0 @ (X1 @ (sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1)))))) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ (X1 @ Y0)) @ ('const/realax/real_sub' @ (sK1 @ ((^[Y1 : 'type/nums/num']: ('const/arith/-' @ ((^[Y2 : 'type/nums/num']: (Y2)) @ Y1) @ (X0 @ Y1))) @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK1 @ ((^[Y1 : 'type/nums/num']: ('const/arith/-' @ ((^[Y2 : 'type/nums/num']: (Y2)) @ Y1) @ (X0 @ Y1))) @ Y0))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) | ((sK6 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1) != X3)) )),
% 37.90/6.68 inference(constrained_superposition,[status(thm)],[f498,f13])).
% 37.90/6.68 thf(f498,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num'] : ((('const/realax/real_mul' @ (sK1 @ (sK6 @ X0 @ X2)) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ (sK6 @ X0 @ X2) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ (sK6 @ X0 @ X2)))) != ('const/realax/real_mul' @ (sK1 @ (X0 @ ('const/arith/+' @ (sK6 @ X0 @ X2) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ ('const/realax/real_sub' @ (sK0 @ (X2 @ ('const/arith/+' @ (sK6 @ X0 @ X2) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK0 @ (X2 @ (sK6 @ X0 @ X2)))))) | (('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != (X0 @ X1)) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X1 @ X3)) | ((X2 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ (X2 @ Y0)) @ ('const/realax/real_sub' @ (sK1 @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK1 @ (X0 @ Y0))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) | ((X0 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != sK3) | ((X2 @ X1) != sK2) | ($false = ('const/arith/<=' @ X1 @ X3))) )),
% 37.90/6.68 inference(trivial_inequality_removal,[status(thm)],[f489])).
% 37.90/6.68 thf(f489,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num'] : (((X0 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != sK3) | ((X2 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ($false = ('const/arith/<=' @ X1 @ X3)) | (('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != (X0 @ X1)) | ((X2 @ X1) != sK2) | (('const/realax/real_mul' @ (sK1 @ (sK6 @ X0 @ X2)) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ (sK6 @ X0 @ X2) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ (sK6 @ X0 @ X2)))) != ('const/realax/real_mul' @ (sK1 @ (X0 @ ('const/arith/+' @ (sK6 @ X0 @ X2) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ ('const/realax/real_sub' @ (sK0 @ (X2 @ ('const/arith/+' @ (sK6 @ X0 @ X2) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK0 @ (X2 @ (sK6 @ X0 @ X2)))))) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X1 @ X3)) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ (X2 @ Y0)) @ ('const/realax/real_sub' @ (sK1 @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK1 @ (X0 @ Y0))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) | ($true = $false)) )),
% 37.90/6.68 inference(backward_demodulation,[status(thm)],[f142,f449])).
% 37.90/6.68 thf(f142,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num'] : ((('const/realax/real_mul' @ (sK1 @ (sK6 @ X0 @ X2)) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ (sK6 @ X0 @ X2) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ (sK6 @ X0 @ X2)))) != ('const/realax/real_mul' @ (sK1 @ (X0 @ ('const/arith/+' @ (sK6 @ X0 @ X2) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ ('const/realax/real_sub' @ (sK0 @ (X2 @ ('const/arith/+' @ (sK6 @ X0 @ X2) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK0 @ (X2 @ (sK6 @ X0 @ X2)))))) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X1 @ X3)) | ((X0 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != sK3) | ((X2 @ X1) != sK2) | ($false = ('const/arith/<=' @ X1 @ X3)) | (('const/arith/<=' @ sK2 @ sK3) = $false) | ((X2 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ (X2 @ Y0)) @ ('const/realax/real_sub' @ (sK1 @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK1 @ (X0 @ Y0))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) | (('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != (X0 @ X1))) )),
% 37.90/6.68 inference(beta_eta_normalization,[status(thm)],[f141])).
% 37.90/6.68 thf(f141,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num'] : (((X2 @ X1) != sK2) | ((X0 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != sK3) | ($false = ('const/arith/<=' @ X1 @ X3)) | (((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ Y0) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ Y0)))) @ (sK6 @ X0 @ X2)) != ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ ('const/realax/real_sub' @ (sK0 @ (X2 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK0 @ (X2 @ Y0))))) @ (sK6 @ X0 @ X2))) | (('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != (X0 @ X1)) | ((X2 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ (X2 @ Y0)) @ ('const/realax/real_sub' @ (sK1 @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK1 @ (X0 @ Y0))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) | (('const/arith/<=' @ sK2 @ sK3) = $false) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X1 @ X3))) )),
% 37.90/6.68 inference(negative_extensionality,[status(thm)],[f108])).
% 37.90/6.68 thf(f108,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num'] : (((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ Y0) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ Y0)))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ ('const/realax/real_sub' @ (sK0 @ (X2 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK0 @ (X2 @ Y0)))))) | (('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != (X0 @ X1)) | ((X2 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X1 @ X3)) | ((X2 @ X1) != sK2) | ((X0 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != sK3) | (('const/arith/<=' @ sK2 @ sK3) = $false) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ (X2 @ Y0)) @ ('const/realax/real_sub' @ (sK1 @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK1 @ (X0 @ Y0))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) | ($false = ('const/arith/<=' @ X1 @ X3))) )),
% 37.90/6.68 inference(beta_eta_normalization,[status(thm)],[f102])).
% 37.90/6.68 thf(f102,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num'] : (((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ Y0) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ Y0)))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ ((^[Y1 : 'type/nums/num']: (sK1 @ (X0 @ Y1))) @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ ('const/realax/real_sub' @ ((^[Y1 : 'type/nums/num']: (sK0 @ (X2 @ Y1))) @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ ((^[Y1 : 'type/nums/num']: (sK0 @ (X2 @ Y1))) @ Y0))))) | ((X0 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != sK3) | ($false = ('const/arith/<=' @ X1 @ X3)) | (('const/arith/<=' @ sK2 @ sK3) = $false) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ ((^[Y1 : 'type/nums/num']: (sK0 @ (X2 @ Y1))) @ Y0) @ ('const/realax/real_sub' @ ((^[Y1 : 'type/nums/num']: (sK1 @ (X0 @ Y1))) @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ ((^[Y1 : 'type/nums/num']: (sK1 @ (X0 @ Y1))) @ Y0))))) | ((X2 @ X1) != sK2) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X1 @ X3)) | ((X2 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != (X0 @ X1))) )),
% 37.90/6.68 inference(equality_resolution,[status(thm)],[f97])).
% 37.90/6.68 thf(f97,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/realax/real',X1 : 'type/nums/num' > 'type/realax/real'] : ((('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/realax/real_sub' @ ('const/realax/real_mul' @ (sK0 @ ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK1 @ sK3)) @ ('const/realax/real_mul' @ (sK0 @ sK2) @ (sK1 @ ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) | (('const/iterate/..' @ X2 @ X3) != ('const/iterate/..' @ sK2 @ sK3)) | (('const/arith/<=' @ X2 @ X3) = $false) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ Y0) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ Y0)))) != (^[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' @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X0 @ Y0))))) | (('const/arith/<=' @ sK2 @ sK3) = $false) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (X0 @ Y0) @ ('const/realax/real_sub' @ (X1 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X1 @ Y0)))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))))) )),
% 37.90/6.68 inference(duplicate_literal_removal,[status(thm)],[f96])).
% 37.90/6.68 thf(f96,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/realax/real',X1 : 'type/nums/num' > 'type/realax/real'] : ((('const/arith/<=' @ sK2 @ sK3) = $false) | (('const/iterate/..' @ X2 @ X3) != ('const/iterate/..' @ sK2 @ sK3)) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ Y0) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ Y0)))) != (^[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' @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X0 @ Y0))))) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (X0 @ Y0) @ ('const/realax/real_sub' @ (X1 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X1 @ Y0)))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) | (('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/realax/real_sub' @ ('const/realax/real_mul' @ (sK0 @ ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK1 @ sK3)) @ ('const/realax/real_mul' @ (sK0 @ sK2) @ (sK1 @ ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) | (('const/iterate/..' @ X2 @ X3) != ('const/iterate/..' @ sK2 @ sK3)) | (('const/arith/<=' @ X2 @ X3) = $false)) )),
% 37.90/6.68 inference(equality_resolution,[status(thm)],[f32])).
% 37.90/6.68 thf(f32,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/realax/real',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/realax/real',X1 : 'type/nums/num'] : ((('const/iterate/sum' @ 'type/nums/num' @ ('const/iterate/..' @ sK2 @ sK3) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('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' @ (X0 @ Y0) @ ('const/realax/real_sub' @ (X2 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X2 @ Y0)))))) | (('const/arith/<=' @ sK2 @ sK3) = $false) | (('const/realax/real_sub' @ ('const/realax/real_mul' @ (sK0 @ ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK1 @ sK3)) @ ('const/realax/real_mul' @ (sK0 @ sK2) @ (sK1 @ ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))) != ('const/realax/real_sub' @ ('const/realax/real_mul' @ (X0 @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X2 @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ ('const/realax/real_mul' @ (X0 @ X3) @ (X2 @ X3)))) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ Y0) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ Y0)))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (X2 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ ('const/realax/real_sub' @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X0 @ Y0))))) | ($false = ('const/arith/<=' @ X3 @ X1)) | (('const/iterate/..' @ X3 @ X1) != ('const/iterate/..' @ sK2 @ sK3))) )),
% 37.90/6.68 inference(binary_proxy_clausification,[status(thm)],[f21])).
% 37.90/6.68 thf(f21,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/realax/real',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/realax/real',X1 : 'type/nums/num'] : ((('const/realax/real_sub' @ ('const/realax/real_mul' @ (sK0 @ ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK1 @ sK3)) @ ('const/realax/real_mul' @ (sK0 @ sK2) @ (sK1 @ ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))) != ('const/realax/real_sub' @ ('const/realax/real_mul' @ (X0 @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X2 @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ ('const/realax/real_mul' @ (X0 @ X3) @ (X2 @ X3)))) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ Y0) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ Y0)))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (X2 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ ('const/realax/real_sub' @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X0 @ Y0))))) | (('const/iterate/sum' @ 'type/nums/num' @ ('const/iterate/..' @ sK2 @ sK3) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('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' @ (X0 @ Y0) @ ('const/realax/real_sub' @ (X2 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X2 @ Y0)))))) | (('const/iterate/..' @ X3 @ X1) != ('const/iterate/..' @ sK2 @ sK3)) | (('const/arith/<=' @ sK2 @ sK3) != ('const/arith/<=' @ X3 @ X1))) )),
% 37.90/6.68 inference(constrained_superposition,[status(thm)],[f14,f15])).
% 37.90/6.68 thf(f15,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/realax/real',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 @ ('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) @ (^[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' @ (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'))) = ('const/iterate/sum' @ 'type/nums/num' @ ('const/iterate/..' @ X2 @ X3) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (X0 @ Y0) @ ('const/realax/real_sub' @ (X1 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X1 @ Y0))))))) )),
% 37.90/6.68 inference(cnf_transformation,[status(thm)],[f9])).
% 37.90/6.68 thf(f9,plain,(
% 37.90/6.68 ! [X0 : 'type/nums/num' > 'type/realax/real',X1 : 'type/nums/num' > 'type/realax/real',X2 : 'type/nums/num',X3 : 'type/nums/num'] : (('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) @ (^[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' @ (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'))) = ('const/iterate/sum' @ 'type/nums/num' @ ('const/iterate/..' @ X2 @ X3) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (X0 @ Y0) @ ('const/realax/real_sub' @ (X1 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X1 @ Y0))))))),
% 37.90/6.68 inference(fool_elimination,[status(thm)],[f8])).
% 37.90/6.68 thf(f8,plain,(
% 37.90/6.68 ! [X0 : 'type/nums/num' > 'type/realax/real',X1 : 'type/nums/num' > 'type/realax/real',X2 : 'type/nums/num',X3 : 'type/nums/num'] : (('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) @ (^[X5 : 'type/nums/num'] : ('const/realax/real_mul' @ (X1 @ ('const/arith/+' @ X5 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ ('const/realax/real_sub' @ (X0 @ ('const/arith/+' @ X5 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X0 @ X5)))))) @ ('const/realax/real_of_num' @ ('const/nums/NUMERAL' @ 'const/nums/_0'))))),
% 37.90/6.68 inference(rectify,[status(thm)],[f2])).
% 37.90/6.68 thf(f2,axiom,(
% 37.90/6.68 ! [X0 : 'type/nums/num' > 'type/realax/real',X1 : 'type/nums/num' > 'type/realax/real',X2 : 'type/nums/num',X3 : 'type/nums/num'] : (('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'))))),
% 37.90/6.68 file('/export/starexec/sandbox2/tmp/tmp.Epry2Cjoh7/DTF2THF_24747.p','thm/iterate/SUM_PARTIAL_SUC_')).
% 37.90/6.68 thf(f14,plain,(
% 37.90/6.68 (('const/iterate/sum' @ 'type/nums/num' @ ('const/iterate/..' @ sK2 @ sK3) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) != ('const/class/COND' @ 'type/realax/real' @ ('const/arith/<=' @ sK2 @ sK3) @ ('const/realax/real_sub' @ ('const/realax/real_sub' @ ('const/realax/real_mul' @ (sK0 @ ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK1 @ sK3)) @ ('const/realax/real_mul' @ (sK0 @ sK2) @ (sK1 @ ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))) @ ('const/iterate/sum' @ 'type/nums/num' @ ('const/iterate/..' @ sK2 @ sK3) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ 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'))))),
% 37.90/6.68 inference(cnf_transformation,[status(thm)],[f12])).
% 37.90/6.68 thf(f12,plain,(
% 37.90/6.68 (('const/iterate/sum' @ 'type/nums/num' @ ('const/iterate/..' @ sK2 @ sK3) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) != ('const/class/COND' @ 'type/realax/real' @ ('const/arith/<=' @ sK2 @ sK3) @ ('const/realax/real_sub' @ ('const/realax/real_sub' @ ('const/realax/real_mul' @ (sK0 @ ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK1 @ sK3)) @ ('const/realax/real_mul' @ (sK0 @ sK2) @ (sK1 @ ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))) @ ('const/iterate/sum' @ 'type/nums/num' @ ('const/iterate/..' @ sK2 @ sK3) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ 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'))))),
% 37.90/6.68 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f10,f11])).
% 37.90/6.68 thf(f11,plain,(
% 37.90/6.68 ? [X0 : 'type/nums/num' > 'type/realax/real',X1 : 'type/nums/num' > 'type/realax/real',X2 : 'type/nums/num',X3 : 'type/nums/num'] : (('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) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (X1 @ 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'))) != ('const/iterate/sum' @ 'type/nums/num' @ ('const/iterate/..' @ X2 @ X3) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (X0 @ Y0) @ ('const/realax/real_sub' @ (X1 @ Y0) @ (X1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))))) => (('const/iterate/sum' @ 'type/nums/num' @ ('const/iterate/..' @ sK2 @ sK3) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) != ('const/class/COND' @ 'type/realax/real' @ ('const/arith/<=' @ sK2 @ sK3) @ ('const/realax/real_sub' @ ('const/realax/real_sub' @ ('const/realax/real_mul' @ (sK0 @ ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK1 @ sK3)) @ ('const/realax/real_mul' @ (sK0 @ sK2) @ (sK1 @ ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))) @ ('const/iterate/sum' @ 'type/nums/num' @ ('const/iterate/..' @ sK2 @ sK3) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ 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'))))),
% 37.90/6.68 introduced(definition,[],[choice_axiom])).
% 37.90/6.68 thf(f10,plain,(
% 37.90/6.68 ? [X0 : 'type/nums/num' > 'type/realax/real',X1 : 'type/nums/num' > 'type/realax/real',X2 : 'type/nums/num',X3 : 'type/nums/num'] : (('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) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (X1 @ 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'))) != ('const/iterate/sum' @ 'type/nums/num' @ ('const/iterate/..' @ X2 @ X3) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (X0 @ Y0) @ ('const/realax/real_sub' @ (X1 @ Y0) @ (X1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))))),
% 37.90/6.68 inference(ennf_transformation,[status(thm)],[f7])).
% 37.90/6.68 thf(f7,plain,(
% 37.90/6.68 ~! [X0 : 'type/nums/num' > 'type/realax/real',X1 : 'type/nums/num' > 'type/realax/real',X2 : 'type/nums/num',X3 : 'type/nums/num'] : (('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) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (X1 @ 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'))) = ('const/iterate/sum' @ 'type/nums/num' @ ('const/iterate/..' @ X2 @ X3) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (X0 @ Y0) @ ('const/realax/real_sub' @ (X1 @ Y0) @ (X1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))))),
% 37.90/6.68 inference(fool_elimination,[status(thm)],[f6])).
% 37.90/6.68 thf(f6,plain,(
% 37.90/6.68 ~! [X0 : 'type/nums/num' > 'type/realax/real',X1 : 'type/nums/num' > 'type/realax/real',X2 : 'type/nums/num',X3 : 'type/nums/num'] : (('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) @ (^[X5 : 'type/nums/num'] : ('const/realax/real_mul' @ (X0 @ X5) @ ('const/realax/real_sub' @ (X1 @ X5) @ (X1 @ ('const/arith/-' @ X5 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))))),
% 37.90/6.68 inference(rectify,[status(thm)],[f4])).
% 37.90/6.68 thf(f4,negated_conjecture,(
% 37.90/6.68 ~! [X0 : 'type/nums/num' > 'type/realax/real',X1 : 'type/nums/num' > 'type/realax/real',X2 : 'type/nums/num',X3 : 'type/nums/num'] : (('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')))))))))),
% 37.90/6.68 inference(negated_conjecture,[status(cth)],[f3])).
% 37.90/6.68 thf(f3,conjecture,(
% 37.90/6.68 ! [X0 : 'type/nums/num' > 'type/realax/real',X1 : 'type/nums/num' > 'type/realax/real',X2 : 'type/nums/num',X3 : 'type/nums/num'] : (('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')))))))))),
% 37.90/6.68 file('/export/starexec/sandbox2/tmp/tmp.Epry2Cjoh7/DTF2THF_24747.p','thm/iterate/SUM_PARTIAL_PRE_')).
% 37.90/6.68 thf(f449,plain,(
% 37.90/6.68 ($true = ('const/arith/<=' @ sK2 @ sK3))),
% 37.90/6.68 inference(equality_resolution,[status(thm)],[f413])).
% 37.90/6.68 thf(f413,plain,(
% 37.90/6.68 ( ! [X0 : 'type/nums/num'] : ((('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X0) | ($true = ('const/arith/<=' @ sK2 @ sK3))) )),
% 37.90/6.68 inference(trivial_inequality_removal,[status(thm)],[f412])).
% 37.90/6.68 thf(f412,plain,(
% 37.90/6.68 ( ! [X0 : 'type/nums/num'] : ((('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ sK2 @ sK3)) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X0) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | (sK3 != sK3)) )),
% 37.90/6.68 inference(duplicate_literal_removal,[status(thm)],[f411])).
% 37.90/6.68 thf(f411,plain,(
% 37.90/6.68 ( ! [X0 : 'type/nums/num'] : ((sK3 != sK3) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ sK2 @ sK3)) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X0)) )),
% 37.90/6.68 inference(equality_resolution,[status(thm)],[f375])).
% 37.90/6.68 thf(f375,plain,(
% 37.90/6.68 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/arith/+' @ X0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (sK3 != X0) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | (('const/iterate/..' @ sK2 @ X0) != ('const/iterate/..' @ sK2 @ sK3)) | (('const/arith/<=' @ sK2 @ X0) = $true) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X1)) )),
% 37.90/6.68 inference(superposition,[status(thm)],[f339,f13])).
% 37.90/6.68 thf(f339,plain,(
% 37.90/6.68 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((sK3 != ('const/arith/-' @ ('const/arith/+' @ X0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/iterate/..' @ sK2 @ X0) != ('const/iterate/..' @ sK2 @ sK3)) | (('const/arith/<=' @ sK2 @ X0) = $true) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X1) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | (('const/arith/+' @ X0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) )),
% 37.90/6.68 inference(trivial_inequality_removal,[status(thm)],[f338])).
% 37.90/6.68 thf(f338,plain,(
% 37.90/6.68 ( ! [X0 : 'type/nums/num',X1 : 'type/nums/num'] : (($true = ('const/arith/<=' @ sK2 @ sK3)) | (sK3 != ('const/arith/-' @ ('const/arith/+' @ X0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X1) | (('const/arith/+' @ X0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (sK2 != sK2) | (('const/arith/<=' @ sK2 @ X0) = $true) | (('const/iterate/..' @ sK2 @ X0) != ('const/iterate/..' @ sK2 @ sK3))) )),
% 37.90/6.68 inference(equality_resolution,[status(thm)],[f329])).
% 37.90/6.68 thf(f329,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/-' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (sK2 != X1) | (('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/iterate/..' @ X1 @ X2) != ('const/iterate/..' @ sK2 @ sK3)) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X0) | ($true = ('const/arith/<=' @ X1 @ X2)) | (('const/arith/-' @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != sK3) | ($true = ('const/arith/<=' @ sK2 @ sK3))) )),
% 37.90/6.68 inference(trivial_inequality_removal,[status(thm)],[f328])).
% 37.90/6.68 thf(f328,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num'] : ((('const/iterate/..' @ X1 @ X2) != ('const/iterate/..' @ sK2 @ sK3)) | (sK2 != X1) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X0) | ('const/nums/_0' != 'const/nums/_0') | ($true = ('const/arith/<=' @ X1 @ X2)) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | (('const/arith/-' @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != sK3) | (('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/-' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) )),
% 37.90/6.68 inference(duplicate_literal_removal,[status(thm)],[f327])).
% 37.90/6.68 thf(f327,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num'] : (('const/nums/_0' != 'const/nums/_0') | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X0) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | (('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/-' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X0) | ($true = ('const/arith/<=' @ X1 @ X2)) | (('const/arith/-' @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != sK3) | (sK2 != X1) | (('const/iterate/..' @ X1 @ X2) != ('const/iterate/..' @ sK2 @ sK3)) | (('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) )),
% 37.90/6.68 inference(beta_eta_normalization,[status(thm)],[f326])).
% 37.90/6.68 thf(f326,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num'] : (($true = ('const/arith/<=' @ X1 @ X2)) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X0) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ ((^[Y0 : 'type/nums/num']: ('const/nums/_0')) @ ('const/arith/+' @ (sK5 @ (^[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) | ('const/nums/_0' != ((^[Y0 : 'type/nums/num']: ('const/nums/_0')) @ ('const/arith/+' @ (sK11 @ (^[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'))))) | (('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (sK3 != ('const/arith/-' @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ ((^[Y0 : 'type/nums/num']: ('const/nums/_0')) @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) | (sK2 != X1) | (('const/arith/-' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ ((^[Y0 : 'type/nums/num']: ('const/nums/_0')) @ X1)))) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/iterate/..' @ X1 @ X2) != ('const/iterate/..' @ sK2 @ sK3))) )),
% 37.90/6.68 inference(equality_resolution,[status(thm)],[f318])).
% 37.90/6.68 thf(f318,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num'] : ((('const/realax/real_mul' @ (sK0 @ (sK11 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ Y0)))))) @ ('const/realax/real_sub' @ (sK1 @ (sK11 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ Y0)))))) @ (sK1 @ ('const/arith/-' @ (sK11 @ (^[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 @ (sK11 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ Y0)))))) @ ('const/realax/real_sub' @ (sK1 @ (sK11 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ Y0)))))) @ (sK1 @ ('const/arith/-' @ (sK11 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ Y0))))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ (sK11 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ Y0))))))))))))) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ ('const/arith/+' @ (sK5 @ (^[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')))))) != X3) | (sK2 != X1) | (('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X3) | (('const/iterate/..' @ X1 @ X2) != ('const/iterate/..' @ sK2 @ sK3)) | (('const/arith/-' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ X1)))) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/arith/-' @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) != sK3) | ('const/nums/_0' != (X0 @ ('const/arith/+' @ (sK11 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ (X0 @ Y0))))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | ($true = ('const/arith/<=' @ X1 @ X2))) )),
% 37.90/6.68 inference(beta_eta_normalization,[status(thm)],[f314])).
% 37.90/6.68 thf(f314,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num'] : ((('const/realax/real_mul' @ (sK0 @ (sK11 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ((^[Y1 : 'type/nums/num']: ('const/nums/BIT1' @ (X0 @ Y1))) @ Y0))))) @ ('const/realax/real_sub' @ (sK1 @ (sK11 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ((^[Y1 : 'type/nums/num']: ('const/nums/BIT1' @ (X0 @ Y1))) @ Y0))))) @ (sK1 @ ('const/arith/-' @ (sK11 @ (^[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')))))) != ('const/realax/real_mul' @ (sK0 @ (sK11 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ((^[Y1 : 'type/nums/num']: ('const/nums/BIT1' @ (X0 @ Y1))) @ Y0))))) @ ('const/realax/real_sub' @ (sK1 @ (sK11 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ((^[Y1 : 'type/nums/num']: ('const/nums/BIT1' @ (X0 @ Y1))) @ Y0))))) @ (sK1 @ ('const/arith/-' @ (sK11 @ (^[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))) @ (sK11 @ (^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ((^[Y1 : 'type/nums/num']: ('const/nums/BIT1' @ (X0 @ Y1))) @ Y0)))))))))) | (('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/arith/-' @ ('const/arith/+' @ X2 @ ('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/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) != sK3) | (sK2 != X1) | (('const/iterate/..' @ X1 @ X2) != ('const/iterate/..' @ sK2 @ sK3)) | ($true = ('const/arith/<=' @ X1 @ X2)) | (('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/-' @ X1 @ ((^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ((^[Y1 : 'type/nums/num']: ('const/nums/BIT1' @ (X0 @ Y1))) @ Y0))) @ X1))) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X3) | ('const/nums/_0' != (X0 @ ('const/arith/+' @ (sK11 @ (^[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'))))) | (((^[Y0 : 'type/nums/num']: ('const/nums/NUMERAL' @ ((^[Y1 : 'type/nums/num']: ('const/nums/BIT1' @ (X0 @ Y1))) @ Y0))) @ ('const/arith/+' @ (sK5 @ (^[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')))) != X3) | ($true = ('const/arith/<=' @ sK2 @ sK3))) )),
% 37.90/6.68 inference(constrained_superposition,[status(thm)],[f304,f13])).
% 37.90/6.68 thf(f304,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num' > 'type/nums/num'] : ((('const/realax/real_mul' @ (sK0 @ (sK11 @ X1)) @ ('const/realax/real_sub' @ (sK1 @ ('const/arith/-' @ ('const/arith/+' @ (sK11 @ X1) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X1 @ ('const/arith/+' @ (sK11 @ X1) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))) @ (sK1 @ ('const/arith/-' @ (sK11 @ X1) @ (X1 @ (sK11 @ X1)))))) != ('const/realax/real_mul' @ (sK0 @ (sK11 @ X1)) @ ('const/realax/real_sub' @ (sK1 @ (sK11 @ X1)) @ (sK1 @ ('const/arith/-' @ (sK11 @ X1) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) | (('const/arith/<=' @ X0 @ X2) = $true) | (('const/arith/-' @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X1 @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) != sK3) | (sK2 != X0) | (('const/arith/-' @ X0 @ (X1 @ X0)) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X3) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X0 @ X2)) | (('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | ((X1 @ ('const/arith/+' @ (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X1 @ Y0))) @ (^[Y0 : 'type/nums/num']: (Y0))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != X3)) )),
% 37.90/6.68 inference(beta_eta_normalization,[status(thm)],[f303])).
% 37.90/6.68 thf(f303,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num' > 'type/nums/num'] : ((('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/arith/-' @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X1 @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) != sK3) | (('const/arith/<=' @ X0 @ X2) = $true) | (('const/arith/-' @ X0 @ (X1 @ X0)) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | (sK2 != X0) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X0 @ X2)) | ((X1 @ ('const/arith/+' @ (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X1 @ Y0))) @ (^[Y0 : 'type/nums/num']: (Y0))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != X3) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X3) | (((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ ('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')))))) @ (sK1 @ ('const/arith/-' @ Y0 @ (X1 @ Y0)))))) @ (sK11 @ X1)) != ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) @ (sK11 @ X1)))) )),
% 37.90/6.68 inference(negative_extensionality,[status(thm)],[f294])).
% 37.90/6.68 thf(f294,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num' > 'type/nums/num'] : (((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('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' @ (sK1 @ ('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')))))) @ (sK1 @ ('const/arith/-' @ Y0 @ (X1 @ Y0))))))) | (('const/arith/-' @ X0 @ (X1 @ X0)) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/arith/-' @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X1 @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) != sK3) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | (('const/arith/<=' @ X0 @ X2) = $true) | (sK2 != X0) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X0 @ X2)) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X3) | (('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ((X1 @ ('const/arith/+' @ (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X1 @ Y0))) @ (^[Y0 : 'type/nums/num']: (Y0))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != X3)) )),
% 37.90/6.68 inference(beta_eta_normalization,[status(thm)],[f293])).
% 37.90/6.68 thf(f293,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num' > 'type/nums/num'] : ((('const/arith/-' @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X1 @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) != sK3) | (sK2 != ((^[Y0 : 'type/nums/num']: (Y0)) @ X0)) | (('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ((^[Y0 : 'type/nums/num']: (Y0)) @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) | ((X1 @ ('const/arith/+' @ (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X1 @ Y0))) @ (^[Y0 : 'type/nums/num']: (Y0))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != X3) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0)) @ ('const/realax/real_sub' @ (sK1 @ ('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')))))) @ (sK1 @ ('const/arith/-' @ Y0 @ (X1 @ Y0))))))) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X3) | (('const/arith/<=' @ X0 @ X2) = $true) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X0 @ X2)) | (('const/arith/-' @ X0 @ (X1 @ X0)) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) )),
% 37.90/6.68 inference(trivial_inequality_removal,[status(thm)],[f291])).
% 37.90/6.68 thf(f291,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num',X1 : 'type/nums/num' > 'type/nums/num'] : ((('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X0 @ X2)) | (('const/arith/-' @ X0 @ (X1 @ X0)) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != ((^[Y0 : 'type/nums/num']: (Y0)) @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) | (('const/arith/<=' @ X0 @ X2) = $true) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0)) @ ('const/realax/real_sub' @ (sK1 @ ('const/arith/-' @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X1 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))) @ (sK1 @ ('const/arith/-' @ Y0 @ (X1 @ Y0))))))) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X3) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | ((sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X1 @ Y0))) @ (^[Y0 : 'type/nums/num']: (Y0))) != (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X1 @ Y0))) @ (^[Y0 : 'type/nums/num']: (Y0)))) | ((X1 @ ('const/arith/+' @ (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X1 @ Y0))) @ (^[Y0 : 'type/nums/num']: (Y0))) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != X3) | (('const/arith/-' @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X1 @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) != sK3) | (sK2 != ((^[Y0 : 'type/nums/num']: (Y0)) @ X0))) )),
% 37.90/6.68 inference(equality_resolution,[status(thm)],[f218])).
% 37.90/6.68 thf(f218,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num' > 'type/nums/num',X4 : 'type/nums/num',X5 : 'type/nums/num'] : ((('const/realax/real_mul' @ (sK1 @ (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X0 @ Y0))) @ X1)) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X0 @ Y0))) @ X1) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X0 @ Y0))) @ X1)))) != ('const/realax/real_mul' @ (sK1 @ X3) @ ('const/realax/real_sub' @ (sK0 @ (X1 @ ('const/arith/+' @ (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X0 @ Y0))) @ X1) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK0 @ (X1 @ (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X0 @ Y0))) @ X1)))))) | (sK2 != (X1 @ X4)) | (('const/arith/-' @ X4 @ (X0 @ X4)) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X4 @ X5)) | ($true = ('const/arith/<=' @ X4 @ X5)) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X2) | (('const/arith/-' @ ('const/arith/+' @ X5 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X0 @ ('const/arith/+' @ X5 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) != sK3) | ((X1 @ ('const/arith/+' @ X5 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ (X1 @ Y0)) @ ('const/realax/real_sub' @ (sK1 @ ('const/arith/-' @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))) @ (sK1 @ ('const/arith/-' @ Y0 @ (X0 @ Y0))))))) | ((sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X0 @ Y0))) @ X1) != X3) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | ((X0 @ ('const/arith/+' @ (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ Y0 @ (X0 @ Y0))) @ X1) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != X2)) )),
% 37.90/6.68 inference(beta_eta_normalization,[status(thm)],[f215])).
% 37.90/6.68 thf(f215,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num' > 'type/nums/num',X4 : 'type/nums/num',X5 : 'type/nums/num'] : ((('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X4 @ X5)) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ (X1 @ Y0)) @ ('const/realax/real_sub' @ (sK1 @ ((^[Y1 : 'type/nums/num']: ('const/arith/-' @ ((^[Y2 : 'type/nums/num']: (Y2)) @ Y1) @ (X0 @ Y1))) @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK1 @ ((^[Y1 : 'type/nums/num']: ('const/arith/-' @ ((^[Y2 : 'type/nums/num']: (Y2)) @ Y1) @ (X0 @ Y1))) @ Y0))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) | (('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')) != X2) | ($true = ('const/arith/<=' @ X4 @ X5)) | (('const/realax/real_mul' @ (sK1 @ X3) @ ('const/realax/real_sub' @ (sK0 @ (X1 @ ('const/arith/+' @ (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK0 @ (X1 @ (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1))))) != ('const/realax/real_mul' @ (sK1 @ (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1)) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1))))) | (((^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ ('const/arith/+' @ X5 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != sK3) | (sK2 != (X1 @ X4)) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | ((X1 @ ('const/arith/+' @ X5 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ((sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1) != X3) | (((^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ X4) != ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ((X0 @ ('const/arith/+' @ (sK5 @ (^[Y0 : 'type/nums/num']: ('const/arith/-' @ ((^[Y1 : 'type/nums/num']: (Y1)) @ Y0) @ (X0 @ Y0))) @ X1) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != X2)) )),
% 37.90/6.68 inference(constrained_superposition,[status(thm)],[f95,f13])).
% 37.90/6.68 thf(f95,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num'] : ((('const/realax/real_mul' @ (sK1 @ (X0 @ ('const/arith/+' @ (sK5 @ X0 @ X2) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ ('const/realax/real_sub' @ (sK0 @ (X2 @ ('const/arith/+' @ (sK5 @ X0 @ X2) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK0 @ (X2 @ (sK5 @ X0 @ X2))))) != ('const/realax/real_mul' @ (sK1 @ (sK5 @ X0 @ X2)) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ (sK5 @ X0 @ X2) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ (sK5 @ X0 @ X2))))) | (('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != (X0 @ X1)) | ((X2 @ X1) != sK2) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X1 @ X3)) | ((X0 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != sK3) | ((X2 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ($true = ('const/arith/<=' @ X1 @ X3)) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ (X2 @ Y0)) @ ('const/realax/real_sub' @ (sK1 @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK1 @ (X0 @ Y0))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) | ($true = ('const/arith/<=' @ sK2 @ sK3))) )),
% 37.90/6.68 inference(beta_eta_normalization,[status(thm)],[f94])).
% 37.90/6.68 thf(f94,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num'] : ((('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X1 @ X3)) | (('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != (X0 @ X1)) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ (X2 @ Y0)) @ ('const/realax/real_sub' @ (sK1 @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK1 @ (X0 @ Y0))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) | (((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ ('const/realax/real_sub' @ (sK0 @ (X2 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK0 @ (X2 @ Y0))))) @ (sK5 @ X0 @ X2)) != ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ Y0) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ Y0)))) @ (sK5 @ X0 @ X2))) | ((X0 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != sK3) | ((X2 @ X1) != sK2) | ((X2 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | ($true = ('const/arith/<=' @ X1 @ X3))) )),
% 37.90/6.68 inference(negative_extensionality,[status(thm)],[f70])).
% 37.90/6.68 thf(f70,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num'] : (((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ Y0) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ Y0)))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ ('const/realax/real_sub' @ (sK0 @ (X2 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK0 @ (X2 @ Y0)))))) | ((X2 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ((X0 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != sK3) | (('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != (X0 @ X1)) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ (X2 @ Y0)) @ ('const/realax/real_sub' @ (sK1 @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ (sK1 @ (X0 @ Y0))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) | ((X2 @ X1) != sK2) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X1 @ X3)) | ($true = ('const/arith/<=' @ X1 @ X3)) | ($true = ('const/arith/<=' @ sK2 @ sK3))) )),
% 37.90/6.68 inference(beta_eta_normalization,[status(thm)],[f62])).
% 37.90/6.68 thf(f62,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/nums/num',X1 : 'type/nums/num'] : (($true = ('const/arith/<=' @ X1 @ X3)) | (('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) != (X0 @ X1)) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ ((^[Y1 : 'type/nums/num']: (sK0 @ (X2 @ Y1))) @ Y0) @ ('const/realax/real_sub' @ ((^[Y1 : 'type/nums/num']: (sK1 @ (X0 @ Y1))) @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ ((^[Y1 : 'type/nums/num']: (sK1 @ (X0 @ Y1))) @ Y0))))) | ((X2 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) | ((X0 @ ('const/arith/+' @ X3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) != sK3) | ((X2 @ X1) != sK2) | (('const/iterate/..' @ sK2 @ sK3) != ('const/iterate/..' @ X1 @ X3)) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ Y0) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ Y0)))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ ((^[Y1 : 'type/nums/num']: (sK1 @ (X0 @ Y1))) @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ ('const/realax/real_sub' @ ((^[Y1 : 'type/nums/num']: (sK0 @ (X2 @ Y1))) @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ ((^[Y1 : 'type/nums/num']: (sK0 @ (X2 @ Y1))) @ Y0))))) | ($true = ('const/arith/<=' @ sK2 @ sK3))) )),
% 37.90/6.68 inference(equality_resolution,[status(thm)],[f35])).
% 37.90/6.68 thf(f35,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/realax/real',X1 : 'type/nums/num' > 'type/realax/real'] : ((('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/realax/real_sub' @ ('const/realax/real_mul' @ (sK0 @ ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK1 @ sK3)) @ ('const/realax/real_mul' @ (sK0 @ sK2) @ (sK1 @ ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) | (('const/iterate/..' @ X2 @ X3) != ('const/iterate/..' @ sK2 @ sK3)) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ Y0) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ Y0)))) != (^[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' @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X0 @ Y0))))) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (X0 @ Y0) @ ('const/realax/real_sub' @ (X1 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X1 @ Y0)))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) | (('const/arith/<=' @ X2 @ X3) = $true) | ($true = ('const/arith/<=' @ sK2 @ sK3))) )),
% 37.90/6.68 inference(duplicate_literal_removal,[status(thm)],[f34])).
% 37.90/6.68 thf(f34,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/realax/real',X1 : 'type/nums/num' > 'type/realax/real'] : ((('const/iterate/..' @ X2 @ X3) != ('const/iterate/..' @ sK2 @ sK3)) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (X0 @ Y0) @ ('const/realax/real_sub' @ (X1 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X1 @ Y0)))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) | (('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/realax/real_sub' @ ('const/realax/real_mul' @ (sK0 @ ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK1 @ sK3)) @ ('const/realax/real_mul' @ (sK0 @ sK2) @ (sK1 @ ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))) | (('const/iterate/..' @ X2 @ X3) != ('const/iterate/..' @ sK2 @ sK3)) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ Y0) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ Y0)))) != (^[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' @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X0 @ Y0))))) | (('const/arith/<=' @ X2 @ X3) = $true)) )),
% 37.90/6.68 inference(equality_resolution,[status(thm)],[f31])).
% 37.90/6.68 thf(f31,plain,(
% 37.90/6.68 ( ! [X2 : 'type/nums/num' > 'type/realax/real',X3 : 'type/nums/num',X0 : 'type/nums/num' > 'type/realax/real',X1 : 'type/nums/num'] : ((('const/iterate/sum' @ 'type/nums/num' @ ('const/iterate/..' @ sK2 @ sK3) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK0 @ Y0) @ ('const/realax/real_sub' @ (sK1 @ Y0) @ (sK1 @ ('const/arith/-' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))))) != ('const/iterate/sum' @ 'type/nums/num' @ ('const/iterate/..' @ X3 @ X1) @ (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (X0 @ Y0) @ ('const/realax/real_sub' @ (X2 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X2 @ Y0)))))) | ((^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (sK1 @ Y0) @ ('const/realax/real_sub' @ (sK0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK0 @ Y0)))) != (^[Y0 : 'type/nums/num']: ('const/realax/real_mul' @ (X2 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ ('const/realax/real_sub' @ (X0 @ ('const/arith/+' @ Y0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X0 @ Y0))))) | ($true = ('const/arith/<=' @ X3 @ X1)) | (('const/iterate/..' @ X3 @ X1) != ('const/iterate/..' @ sK2 @ sK3)) | ($true = ('const/arith/<=' @ sK2 @ sK3)) | (('const/realax/real_sub' @ ('const/realax/real_mul' @ (sK0 @ ('const/arith/+' @ sK3 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (sK1 @ sK3)) @ ('const/realax/real_mul' @ (sK0 @ sK2) @ (sK1 @ ('const/arith/-' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))))) != ('const/realax/real_sub' @ ('const/realax/real_mul' @ (X0 @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ (X2 @ ('const/arith/+' @ X1 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) @ ('const/realax/real_mul' @ (X0 @ X3) @ (X2 @ X3))))) )),
% 37.90/6.68 inference(binary_proxy_clausification,[status(thm)],[f21])).
% 37.90/6.68 % SZS output end Proof for DTF2THF_24747
% 37.90/6.68 % (25031)------------------------------
% 37.90/6.68 % (25031)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.90/6.68 % (25031)Termination reason: Refutation
% 37.90/6.68
% 37.90/6.68 % (25031)Memory used [KB]: 10874
% 37.90/6.68 % (25031)Time elapsed: 2.260 s
% 37.90/6.68 % (25031)Instructions burned: 5124 (million)
% 37.90/6.68 % (25031)------------------------------
% 37.90/6.68 % (25031)------------------------------
% 37.90/6.68 % (24844)Success in time 5.353 s
%------------------------------------------------------------------------------