%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO330^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n014.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 09:53:57 AM UTC 2026
% Result : Theorem 55.89s 9.30s
% Output : Refutation 51.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 9
% Syntax : Number of formulae : 138 ( 32 unt; 0 typ; 8 def)
% Number of atoms : 1197 ( 255 equ; 0 cnn)
% Maximal formula atoms : 14 ( 8 avg)
% Number of connectives : 1831 ( 139 ~; 260 |; 150 &;1120 @)
% ( 11 <=>; 73 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 107 ( 107 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 16 usr; 13 con; 0-2 aty)
% ( 78 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 330 ( 188 ^; 142 !; 0 ?; 330 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
cNUMBER: $i > $o ).
thf(func_def_1,type,
cODD: $i > $o ).
thf(func_def_2,type,
cEVEN: $i > $o ).
thf(func_def_3,type,
cS: $i > $i ).
thf(func_def_19,type,
sK1: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_21,type,
ph3:
!>[X0: $tType] : X0 ).
thf(f8854,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f225,f373,f2588,f2594,f2595,f2717,f8789,f8817,f8853]) ).
thf(f8853,plain,
( ~ spl0_5
| ~ spl0_18
| ~ spl0_75 ),
inference(avatar_contradiction_clause,[status(thm)],[f8852]) ).
thf(f8852,plain,
( $false
| ~ spl0_5
| ~ spl0_18
| ~ spl0_75 ),
inference(trivial_inequality_removal,[status(thm)],[f8851]) ).
thf(f8851,plain,
( ( $true = $false )
| ~ spl0_5
| ~ spl0_18
| ~ spl0_75 ),
inference(backward_demodulation,[status(thm)],[f3704,f8850]) ).
thf(f8850,plain,
( ( $false
= ( cNUMBER @ ( cS @ c0 ) ) )
| ~ spl0_18
| ~ spl0_75 ),
inference(beta_eta_normalization,[status(thm)],[f8849]) ).
thf(f8849,plain,
( ( ( ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ c0 )
= $false )
| ~ spl0_18
| ~ spl0_75 ),
inference(trivial_inequality_removal,[status(thm)],[f8829]) ).
thf(f8829,plain,
( ( $true = $false )
| ( ( ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ c0 )
= $false )
| ~ spl0_18
| ~ spl0_75 ),
inference(superposition,[status(thm)],[f8787,f2576]) ).
thf(f2576,plain,
( ! [X0: $i > $o] :
( ( $true
= ( cNUMBER @ ( sK1 @ X0 @ cNUMBER ) ) )
| ( ( X0 @ c0 )
= $false ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[status(thm)],[f2575]) ).
thf(f2575,definition,
( spl0_18
<=> ! [X0: $i > $o] :
( ( $true
= ( cNUMBER @ ( sK1 @ X0 @ cNUMBER ) ) )
| ( ( X0 @ c0 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_18])],[avatar_definition]) ).
thf(f8787,plain,
( ( ( cNUMBER
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) )
= $false )
| ~ spl0_75 ),
inference(avatar_component_clause,[status(thm)],[f8785]) ).
thf(f8785,definition,
( spl0_75
<=> ( ( cNUMBER
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_75])],[avatar_definition]) ).
thf(f3704,plain,
( ( $true
= ( cNUMBER @ ( cS @ c0 ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[status(thm)],[f3702]) ).
thf(f3702,plain,
( ( ( cNUMBER
@ ( ^ [Y0: $i] :
( cS
@ ( ^ [Y1: $i] : c0
@ Y0 ) )
@ ( sK1
@ ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] :
( cS
@ ( ^ [Y2: $i] : c0
@ Y1 ) )
@ Y0 ) )
@ cEVEN ) ) )
= $true )
| ~ spl0_5 ),
inference(equality_resolution,[status(thm)],[f3694]) ).
thf(f3694,plain,
( ! [X0: $i > $i] :
( ( ( cS @ c0 )
!= ( X0 @ c0 ) )
| ( $true
= ( cNUMBER
@ ( X0
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ cEVEN ) ) ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f3641]) ).
thf(f3641,plain,
( ! [X0: $i > $i] :
( ( ( cS @ c0 )
!= ( X0 @ c0 ) )
| ( $true = $false )
| ( $true
= ( cNUMBER
@ ( X0
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ cEVEN ) ) ) ) )
| ~ spl0_5 ),
inference(superposition,[status(thm)],[f403,f17]) ).
thf(f17,plain,
( ( cODD @ ( cS @ c0 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f16]) ).
thf(f16,plain,
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( cEVEN @ Y0 )
=> ( cEVEN @ ( cS @ ( cS @ Y0 ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( cODD @ Y0 )
=> ( cODD @ ( cS @ ( cS @ Y0 ) ) ) ) )
& ( cODD @ ( cS @ c0 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f14]) ).
thf(f14,plain,
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( cEVEN @ Y0 )
=> ( cEVEN @ ( cS @ ( cS @ Y0 ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( cODD @ Y0 )
=> ( cODD @ ( cS @ ( cS @ Y0 ) ) ) ) )
& ( cODD @ ( cS @ c0 ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( ( cODD @ Y0 )
| ( cEVEN @ Y0 ) )
= ( cNUMBER @ Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f12]) ).
thf(f12,plain,
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( cEVEN @ Y0 )
=> ( cEVEN @ ( cS @ ( cS @ Y0 ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( cODD @ Y0 )
=> ( cODD @ ( cS @ ( cS @ Y0 ) ) ) ) )
& ( cODD @ ( cS @ c0 ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( ( cODD @ Y0 )
| ( cEVEN @ Y0 ) )
= ( cNUMBER @ Y0 ) ) )
& ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
=> ( ( Y0 @ ( cS @ Y2 ) )
& ( Y1 @ ( cS @ Y2 ) ) ) ) )
& ( Y0 @ c0 )
& ( Y1 @ c0 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f10]) ).
thf(f10,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( cEVEN @ Y0 )
=> ( cEVEN @ ( cS @ ( cS @ Y0 ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( cODD @ Y0 )
=> ( cODD @ ( cS @ ( cS @ Y0 ) ) ) ) )
& ( cODD @ ( cS @ c0 ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( ( cODD @ Y0 )
| ( cEVEN @ Y0 ) )
= ( cNUMBER @ Y0 ) ) )
& ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
=> ( ( Y0 @ ( cS @ Y2 ) )
& ( Y1 @ ( cS @ Y2 ) ) ) ) )
& ( Y0 @ c0 )
& ( Y1 @ c0 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ) ) )
& ( cEVEN @ c0 ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f8]) ).
thf(f8,plain,
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( cEVEN @ Y0 )
=> ( cEVEN @ ( cS @ ( cS @ Y0 ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( cODD @ Y0 )
=> ( cODD @ ( cS @ ( cS @ Y0 ) ) ) ) )
& ( cODD @ ( cS @ c0 ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( ( cODD @ Y0 )
| ( cEVEN @ Y0 ) )
= ( cNUMBER @ Y0 ) ) )
& ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
=> ( ( Y0 @ ( cS @ Y2 ) )
& ( Y1 @ ( cS @ Y2 ) ) ) ) )
& ( Y0 @ c0 )
& ( Y1 @ c0 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ) ) )
& ( cEVEN @ c0 ) )
=> ( !! @ $i @ cNUMBER ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( ( ~ ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( cEVEN @ Y0 )
=> ( cEVEN @ ( cS @ ( cS @ Y0 ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( cODD @ Y0 )
=> ( cODD @ ( cS @ ( cS @ Y0 ) ) ) ) )
& ( cODD @ ( cS @ c0 ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( ( cODD @ Y0 )
| ( cEVEN @ Y0 ) )
= ( cNUMBER @ Y0 ) ) )
& ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
=> ( ( Y0 @ ( cS @ Y2 ) )
& ( Y1 @ ( cS @ Y2 ) ) ) ) )
& ( Y0 @ c0 )
& ( Y1 @ c0 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ) ) )
& ( cEVEN @ c0 ) )
=> ( !! @ $i @ cNUMBER ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f6]) ).
thf(f6,plain,
( ( ~ ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( cEVEN @ Y0 )
=> ( cEVEN @ ( cS @ ( cS @ Y0 ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( cODD @ Y0 )
=> ( cODD @ ( cS @ ( cS @ Y0 ) ) ) ) )
& ( cODD @ ( cS @ c0 ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( ( cODD @ Y0 )
| ( cEVEN @ Y0 ) )
= ( cNUMBER @ Y0 ) ) )
& ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
=> ( ( Y0 @ ( cS @ Y2 ) )
& ( Y1 @ ( cS @ Y2 ) ) ) ) )
& ( Y0 @ c0 )
& ( Y1 @ c0 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ) ) )
& ( cEVEN @ c0 ) )
=> ( !! @ $i
@ ^ [Y0: $i] : ( cNUMBER @ Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( ( ~ ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( cEVEN @ Y0 )
=> ( cEVEN @ ( cS @ ( cS @ Y0 ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( cODD @ Y0 )
=> ( cODD @ ( cS @ ( cS @ Y0 ) ) ) ) )
& ( cODD @ ( cS @ c0 ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( ( cODD @ Y0 )
| ( cEVEN @ Y0 ) )
= ( cNUMBER @ Y0 ) ) )
& ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
=> ( ( Y0 @ ( cS @ Y2 ) )
& ( Y1 @ ( cS @ Y2 ) ) ) ) )
& ( Y0 @ c0 )
& ( Y1 @ c0 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ) ) )
& ( cEVEN @ c0 ) )
=> ( !! @ $i
@ ^ [Y0: $i] : ( cNUMBER @ Y0 ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ( ( cEVEN @ c0 )
& ! [X0: $i > $o,X1: $i > $o] :
( ( ( X0 @ c0 )
& ( X1 @ c0 )
& ! [X2: $i] :
( ( ( X0 @ X2 )
& ( X1 @ X2 ) )
=> ( ( X0 @ ( cS @ X2 ) )
& ( X1 @ ( cS @ X2 ) ) ) ) )
=> ! [X3: $i] :
( ( X0 @ X3 )
& ( X1 @ X3 ) ) )
& ! [X4: $i] :
( ( ( cEVEN @ X4 )
| ( cODD @ X4 ) )
<=> ( cNUMBER @ X4 ) )
& ( cODD @ ( cS @ c0 ) )
& ! [X5: $i] :
( ( cODD @ X5 )
=> ( cODD @ ( cS @ ( cS @ X5 ) ) ) )
& ! [X6: $i] :
( ( cEVEN @ X6 )
=> ( cEVEN @ ( cS @ ( cS @ X6 ) ) ) ) )
=> ! [X7: $i] : ( cNUMBER @ X7 ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ( cEVEN @ c0 )
& ! [X1: $i > $o,X2: $i > $o] :
( ( ( X1 @ c0 )
& ( X2 @ c0 )
& ! [X3: $i] :
( ( ( X1 @ X3 )
& ( X2 @ X3 ) )
=> ( ( X1 @ ( cS @ X3 ) )
& ( X2 @ ( cS @ X3 ) ) ) ) )
=> ! [X3: $i] :
( ( X1 @ X3 )
& ( X2 @ X3 ) ) )
& ! [X0: $i] :
( ( ( cEVEN @ X0 )
| ( cODD @ X0 ) )
<=> ( cNUMBER @ X0 ) )
& ( cODD @ ( cS @ c0 ) )
& ! [X0: $i] :
( ( cODD @ X0 )
=> ( cODD @ ( cS @ ( cS @ X0 ) ) ) )
& ! [X0: $i] :
( ( cEVEN @ X0 )
=> ( cEVEN @ ( cS @ ( cS @ X0 ) ) ) ) )
=> ! [X0: $i] : ( cNUMBER @ X0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ( ( cEVEN @ c0 )
& ! [X1: $i > $o,X2: $i > $o] :
( ( ( X1 @ c0 )
& ( X2 @ c0 )
& ! [X3: $i] :
( ( ( X1 @ X3 )
& ( X2 @ X3 ) )
=> ( ( X1 @ ( cS @ X3 ) )
& ( X2 @ ( cS @ X3 ) ) ) ) )
=> ! [X3: $i] :
( ( X1 @ X3 )
& ( X2 @ X3 ) ) )
& ! [X0: $i] :
( ( ( cEVEN @ X0 )
| ( cODD @ X0 ) )
<=> ( cNUMBER @ X0 ) )
& ( cODD @ ( cS @ c0 ) )
& ! [X0: $i] :
( ( cODD @ X0 )
=> ( cODD @ ( cS @ ( cS @ X0 ) ) ) )
& ! [X0: $i] :
( ( cEVEN @ X0 )
=> ( cEVEN @ ( cS @ ( cS @ X0 ) ) ) ) )
=> ! [X0: $i] : ( cNUMBER @ X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.uuuknlfBAe/DTF2THF_7655.p',cEVEN_ODD_4) ).
thf(f403,plain,
( ! [X0: $i > $i,X1: $i] :
( ( ( cODD @ X1 )
= $false )
| ( $true
= ( cNUMBER
@ ( X0
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ cEVEN ) ) ) )
| ( ( X0 @ c0 )
!= X1 ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[status(thm)],[f402]) ).
thf(f402,plain,
( ! [X0: $i > $i,X1: $i] :
( ( ( cODD @ X1 )
= $false )
| ( ( ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ cEVEN ) )
= $true )
| ( ( X0 @ c0 )
!= X1 ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f374]) ).
thf(f374,plain,
( ! [X0: $i > $i,X1: $i] :
( ( ( X0 @ c0 )
!= X1 )
| ( ( cODD @ X1 )
= $false )
| ( ( ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ cEVEN ) )
= $true )
| ( $true = $false ) )
| ~ spl0_5 ),
inference(constrained_superposition,[status(thm)],[f371,f33]) ).
thf(f33,plain,
! [X1: $i] :
( ( $true
= ( cNUMBER @ X1 ) )
| ( ( cODD @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f31]) ).
thf(f31,plain,
! [X1: $i] :
( ( $true
= ( cNUMBER @ X1 ) )
| ( $false
= ( ( cODD @ X1 )
| ( cEVEN @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f29]) ).
thf(f29,plain,
! [X1: $i] :
( ( ( cODD @ X1 )
| ( cEVEN @ X1 ) )
= ( cNUMBER @ X1 ) ),
inference(binary_proxy_clausification,[status(thm)],[f28]) ).
thf(f28,plain,
! [X1: $i] :
( $true
= ( ( ( cODD @ X1 )
| ( cEVEN @ X1 ) )
= ( cNUMBER @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f27]) ).
thf(f27,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( cODD @ Y0 )
| ( cEVEN @ Y0 ) )
= ( cNUMBER @ Y0 ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f15]) ).
thf(f15,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( cODD @ Y0 )
| ( cEVEN @ Y0 ) )
= ( cNUMBER @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f14]) ).
thf(f371,plain,
( ! [X0: $i > $o] :
( ( ( X0 @ c0 )
= $false )
| ( ( X0 @ ( sK1 @ X0 @ cEVEN ) )
= $true ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[status(thm)],[f370]) ).
thf(f370,definition,
( spl0_5
<=> ! [X0: $i > $o] :
( ( ( X0 @ ( sK1 @ X0 @ cEVEN ) )
= $true )
| ( ( X0 @ c0 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition]) ).
thf(f8817,plain,
( ~ spl0_5
| ~ spl0_16
| ~ spl0_21
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[status(thm)],[f8816]) ).
thf(f8816,plain,
( $false
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21
| ~ spl0_74 ),
inference(trivial_inequality_removal,[status(thm)],[f8815]) ).
thf(f8815,plain,
( ( $true = $false )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21
| ~ spl0_74 ),
inference(backward_demodulation,[status(thm)],[f8783,f8813]) ).
thf(f8813,plain,
( ( ( cODD
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) )
= $false )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21 ),
inference(trivial_inequality_removal,[status(thm)],[f8802]) ).
thf(f8802,plain,
( ( $true = $false )
| ( ( cODD
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) )
= $false )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21 ),
inference(superposition,[status(thm)],[f8760,f26]) ).
thf(f26,plain,
! [X1: $i] :
( ( ( cODD @ ( cS @ ( cS @ X1 ) ) )
= $true )
| ( ( cODD @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f25]) ).
thf(f25,plain,
! [X1: $i] :
( $true
= ( ( cODD @ X1 )
=> ( cODD @ ( cS @ ( cS @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f24]) ).
thf(f24,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( cODD @ Y0 )
=> ( cODD @ ( cS @ ( cS @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f19]) ).
thf(f19,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( cODD @ Y0 )
=> ( cODD @ ( cS @ ( cS @ Y0 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f18]) ).
thf(f18,plain,
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( cEVEN @ Y0 )
=> ( cEVEN @ ( cS @ ( cS @ Y0 ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( cODD @ Y0 )
=> ( cODD @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f16]) ).
thf(f8760,plain,
( ( ( cODD
@ ( cS
@ ( cS
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) ) ) )
= $false )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21 ),
inference(trivial_inequality_removal,[status(thm)],[f8755]) ).
thf(f8755,plain,
( ( ( cODD
@ ( cS
@ ( cS
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) ) ) )
= $false )
| ( $true = $false )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21 ),
inference(superposition,[status(thm)],[f33,f4866]) ).
thf(f4866,plain,
( ( ( cNUMBER
@ ( cS
@ ( cS
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) ) ) )
= $false )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21 ),
inference(trivial_inequality_removal,[status(thm)],[f4865]) ).
thf(f4865,plain,
( ( ( cNUMBER
@ ( cS
@ ( cS
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) ) ) )
= $false )
| ( $true = $false )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f4864,f3704]) ).
thf(f4864,plain,
( ( ( cNUMBER
@ ( cS
@ ( cS
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) ) ) )
= $false )
| ( $false
= ( cNUMBER @ ( cS @ c0 ) ) )
| ~ spl0_16
| ~ spl0_21 ),
inference(beta_eta_normalization,[status(thm)],[f4863]) ).
thf(f4863,plain,
( ( ( ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ c0 )
= $false )
| ( ( ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ ( cS
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) ) )
= $false )
| ~ spl0_16
| ~ spl0_21 ),
inference(trivial_inequality_removal,[status(thm)],[f4845]) ).
thf(f4845,plain,
( ( ( ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ ( cS
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) ) )
= $false )
| ( ( ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ c0 )
= $false )
| ( $true = $false )
| ~ spl0_16
| ~ spl0_21 ),
inference(superposition,[status(thm)],[f2564,f3768]) ).
thf(f3768,plain,
( ( $true
= ( cNUMBER
@ ( cS
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) ) ) )
| ~ spl0_21 ),
inference(beta_eta_normalization,[status(thm)],[f3765]) ).
thf(f3765,plain,
( ( ( cNUMBER
@ ( ^ [Y0: $i] :
( cS
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( sK1
@ ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] :
( cS
@ ( ^ [Y2: $i] : Y2
@ Y1 ) )
@ Y0 ) )
@ cNUMBER ) ) )
= $true )
| ~ spl0_21 ),
inference(equality_resolution,[status(thm)],[f3764]) ).
thf(f3764,plain,
( ! [X0: $i > $i] :
( ( ( cS @ c0 )
!= ( X0 @ c0 ) )
| ( $true
= ( cNUMBER
@ ( X0
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ cNUMBER ) ) ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[status(thm)],[f3717]) ).
thf(f3717,plain,
( ! [X0: $i > $i] :
( ( $true = $false )
| ( ( cS @ c0 )
!= ( X0 @ c0 ) )
| ( $true
= ( cNUMBER
@ ( X0
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ cNUMBER ) ) ) ) )
| ~ spl0_21 ),
inference(superposition,[status(thm)],[f17,f3059]) ).
thf(f3059,plain,
( ! [X0: $i > $i,X1: $i] :
( ( ( cODD @ X1 )
= $false )
| ( $true
= ( cNUMBER
@ ( X0
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ cNUMBER ) ) ) )
| ( ( X0 @ c0 )
!= X1 ) )
| ~ spl0_21 ),
inference(beta_eta_normalization,[status(thm)],[f3058]) ).
thf(f3058,plain,
( ! [X0: $i > $i,X1: $i] :
( ( ( X0 @ c0 )
!= X1 )
| ( ( cODD @ X1 )
= $false )
| ( $true
= ( ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ cNUMBER ) ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[status(thm)],[f3005]) ).
thf(f3005,plain,
( ! [X0: $i > $i,X1: $i] :
( ( ( cODD @ X1 )
= $false )
| ( $true = $false )
| ( ( X0 @ c0 )
!= X1 )
| ( $true
= ( ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ cNUMBER ) ) ) )
| ~ spl0_21 ),
inference(constrained_superposition,[status(thm)],[f2592,f33]) ).
thf(f2592,plain,
( ! [X0: $i > $o] :
( ( ( X0 @ c0 )
= $false )
| ( $true
= ( X0 @ ( sK1 @ X0 @ cNUMBER ) ) ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[status(thm)],[f2591]) ).
thf(f2591,definition,
( spl0_21
<=> ! [X0: $i > $o] :
( ( $true
= ( X0 @ ( sK1 @ X0 @ cNUMBER ) ) )
| ( ( X0 @ c0 )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_21])],[avatar_definition]) ).
thf(f2564,plain,
( ! [X0: $i > $o] :
( ( $false
= ( cNUMBER @ ( cS @ ( sK1 @ X0 @ cNUMBER ) ) ) )
| ( ( X0 @ c0 )
= $false )
| ( ( X0 @ ( cS @ ( sK1 @ X0 @ cNUMBER ) ) )
= $false ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[status(thm)],[f2563]) ).
thf(f2563,definition,
( spl0_16
<=> ! [X0: $i > $o] :
( ( $false
= ( cNUMBER @ ( cS @ ( sK1 @ X0 @ cNUMBER ) ) ) )
| ( ( X0 @ c0 )
= $false )
| ( ( X0 @ ( cS @ ( sK1 @ X0 @ cNUMBER ) ) )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_16])],[avatar_definition]) ).
thf(f8783,plain,
( ( ( cODD
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) )
= $true )
| ~ spl0_74 ),
inference(avatar_component_clause,[status(thm)],[f8781]) ).
thf(f8781,definition,
( spl0_74
<=> ( ( cODD
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_74])],[avatar_definition]) ).
thf(f8789,plain,
( spl0_74
| spl0_75
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21 ),
inference(avatar_split_clause,[status(thm)],[f8777,f2591,f2563,f370,f8785,f8781]) ).
thf(f8777,plain,
( ( ( cNUMBER
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) )
= $false )
| ( ( cODD
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) )
= $true )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21 ),
inference(trivial_inequality_removal,[status(thm)],[f8775]) ).
thf(f8775,plain,
( ( $true = $false )
| ( ( cODD
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) )
= $true )
| ( ( cNUMBER
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) )
= $false )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21 ),
inference(superposition,[status(thm)],[f34,f8772]) ).
thf(f8772,plain,
( ( ( cEVEN
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) )
= $false )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21 ),
inference(trivial_inequality_removal,[status(thm)],[f8762]) ).
thf(f8762,plain,
( ( $true = $false )
| ( ( cEVEN
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) )
= $false )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21 ),
inference(superposition,[status(thm)],[f8758,f23]) ).
thf(f23,plain,
! [X1: $i] :
( ( ( cEVEN @ ( cS @ ( cS @ X1 ) ) )
= $true )
| ( ( cEVEN @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f22]) ).
thf(f22,plain,
! [X1: $i] :
( $true
= ( ( cEVEN @ X1 )
=> ( cEVEN @ ( cS @ ( cS @ X1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f21]) ).
thf(f21,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( cEVEN @ Y0 )
=> ( cEVEN @ ( cS @ ( cS @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f20]) ).
thf(f20,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( cEVEN @ Y0 )
=> ( cEVEN @ ( cS @ ( cS @ Y0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f18]) ).
thf(f8758,plain,
( ( ( cEVEN
@ ( cS
@ ( cS
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) ) ) )
= $false )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21 ),
inference(trivial_inequality_removal,[status(thm)],[f8754]) ).
thf(f8754,plain,
( ( ( cEVEN
@ ( cS
@ ( cS
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( cS @ Y0 ) )
@ cNUMBER ) ) ) )
= $false )
| ( $true = $false )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21 ),
inference(superposition,[status(thm)],[f32,f4866]) ).
thf(f32,plain,
! [X1: $i] :
( ( $true
= ( cNUMBER @ X1 ) )
| ( ( cEVEN @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f31]) ).
thf(f34,plain,
! [X1: $i] :
( ( $true
= ( cEVEN @ X1 ) )
| ( ( cODD @ X1 )
= $true )
| ( $false
= ( cNUMBER @ X1 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f30]) ).
thf(f30,plain,
! [X1: $i] :
( ( $false
= ( cNUMBER @ X1 ) )
| ( $true
= ( ( cODD @ X1 )
| ( cEVEN @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f29]) ).
thf(f2717,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[status(thm)],[f2716]) ).
thf(f2716,plain,
( $false
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f2642]) ).
thf(f2642,plain,
( ( $true = $false )
| ~ spl0_14 ),
inference(superposition,[status(thm)],[f62,f2556]) ).
thf(f2556,plain,
( ! [X0: $i] :
( ( cNUMBER @ X0 )
= $true )
| ~ spl0_14 ),
inference(avatar_component_clause,[status(thm)],[f2555]) ).
thf(f2555,definition,
( spl0_14
<=> ! [X0: $i] :
( ( cNUMBER @ X0 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_14])],[avatar_definition]) ).
thf(f62,plain,
( $false
= ( cNUMBER @ sK2 ) ),
inference(sigma_clausification,[status(thm)],[f9]) ).
thf(f9,plain,
( $false
= ( !! @ $i @ cNUMBER ) ),
inference(binary_proxy_clausification,[status(thm)],[f8]) ).
thf(f2595,plain,
( spl0_16
| spl0_14
| ~ spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f2491,f370,f2555,f2563]) ).
thf(f2491,plain,
( ! [X0: $i > $o,X1: $i] :
( ( $false
= ( cNUMBER @ ( cS @ ( sK1 @ X0 @ cNUMBER ) ) ) )
| ( ( X0 @ c0 )
= $false )
| ( ( X0 @ ( cS @ ( sK1 @ X0 @ cNUMBER ) ) )
= $false )
| ( $true
= ( cNUMBER @ X1 ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[status(thm)],[f2490]) ).
thf(f2490,plain,
( ! [X0: $i > $o,X1: $i] :
( ( ( X0
@ ( cS
@ ( sK1 @ X0
@ ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) )
= $false )
| ( ( ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ X1 )
= $true )
| ( $false
= ( ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( cS
@ ( sK1 @ X0
@ ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) ) )
| ( ( X0 @ c0 )
= $false ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f2415]) ).
thf(f2415,plain,
( ! [X0: $i > $o,X1: $i] :
( ( ( X0
@ ( cS
@ ( sK1 @ X0
@ ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) )
= $false )
| ( $true = $false )
| ( ( X0 @ c0 )
= $false )
| ( ( ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ X1 )
= $true )
| ( $false
= ( ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( cS
@ ( sK1 @ X0
@ ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) ) ) )
| ~ spl0_5 ),
inference(superposition,[status(thm)],[f59,f2382]) ).
thf(f2382,plain,
( ( ( cNUMBER @ c0 )
= $true )
| ~ spl0_5 ),
inference(beta_eta_normalization,[status(thm)],[f2380]) ).
thf(f2380,plain,
( ( ( cNUMBER
@ ( ^ [Y0: $i] : c0
@ ( sK1
@ ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : c0
@ Y0 ) )
@ cEVEN ) ) )
= $true )
| ~ spl0_5 ),
inference(equality_resolution,[status(thm)],[f2339]) ).
thf(f2339,plain,
( ! [X0: $i > $i] :
( ( c0
!= ( X0 @ c0 ) )
| ( $true
= ( cNUMBER
@ ( X0
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ cEVEN ) ) ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f2298]) ).
thf(f2298,plain,
( ! [X0: $i > $i] :
( ( $true = $false )
| ( $true
= ( cNUMBER
@ ( X0
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ cEVEN ) ) ) )
| ( c0
!= ( X0 @ c0 ) ) )
| ~ spl0_5 ),
inference(superposition,[status(thm)],[f399,f11]) ).
thf(f11,plain,
( ( cEVEN @ c0 )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f10]) ).
thf(f399,plain,
( ! [X0: $i > $i,X1: $i] :
( ( ( cEVEN @ X1 )
= $false )
| ( $true
= ( cNUMBER
@ ( X0
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ cEVEN ) ) ) )
| ( ( X0 @ c0 )
!= X1 ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[status(thm)],[f398]) ).
thf(f398,plain,
( ! [X0: $i > $i,X1: $i] :
( ( ( X0 @ c0 )
!= X1 )
| ( ( ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ cEVEN ) )
= $true )
| ( ( cEVEN @ X1 )
= $false ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f380]) ).
thf(f380,plain,
( ! [X0: $i > $i,X1: $i] :
( ( ( X0 @ c0 )
!= X1 )
| ( ( ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ ( sK1
@ ^ [Y0: $i] : ( cNUMBER @ ( X0 @ Y0 ) )
@ cEVEN ) )
= $true )
| ( ( cEVEN @ X1 )
= $false )
| ( $true = $false ) )
| ~ spl0_5 ),
inference(constrained_superposition,[status(thm)],[f32,f371]) ).
thf(f59,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( X2 @ c0 )
= $false )
| ( ( X2 @ ( cS @ ( sK1 @ X1 @ X2 ) ) )
= $false )
| ( ( X1 @ ( cS @ ( sK1 @ X1 @ X2 ) ) )
= $false )
| ( ( X2 @ X3 )
= $true )
| ( ( X1 @ c0 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f57]) ).
thf(f57,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( X1 @ c0 )
= $false )
| ( ( ( X1 @ ( cS @ ( sK1 @ X1 @ X2 ) ) )
& ( X2 @ ( cS @ ( sK1 @ X1 @ X2 ) ) ) )
= $false )
| ( ( X2 @ c0 )
= $false )
| ( ( X2 @ X3 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f56]) ).
thf(f56,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( X2 @ X3 )
= $true )
| ( ( X1 @ c0 )
= $false )
| ( ( ( ( X1 @ ( sK1 @ X1 @ X2 ) )
& ( X2 @ ( sK1 @ X1 @ X2 ) ) )
=> ( ( X1 @ ( cS @ ( sK1 @ X1 @ X2 ) ) )
& ( X2 @ ( cS @ ( sK1 @ X1 @ X2 ) ) ) ) )
= $false )
| ( ( X2 @ c0 )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f55]) ).
thf(f55,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( $false
= ( ^ [Y0: $i] :
( ( ( X1 @ Y0 )
& ( X2 @ Y0 ) )
=> ( ( X1 @ ( cS @ Y0 ) )
& ( X2 @ ( cS @ Y0 ) ) ) )
@ ( sK1 @ X1 @ X2 ) ) )
| ( ( X2 @ X3 )
= $true )
| ( ( X1 @ c0 )
= $false )
| ( ( X2 @ c0 )
= $false ) ),
inference(sigma_clausification,[status(thm)],[f54]) ).
thf(f54,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( X2 @ X3 )
= $true )
| ( ( X1 @ c0 )
= $false )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( X1 @ Y0 )
& ( X2 @ Y0 ) )
=> ( ( X1 @ ( cS @ Y0 ) )
& ( X2 @ ( cS @ Y0 ) ) ) ) ) )
| ( ( X2 @ c0 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f53]) ).
thf(f53,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ( X1 @ Y0 )
& ( X2 @ Y0 ) )
=> ( ( X1 @ ( cS @ Y0 ) )
& ( X2 @ ( cS @ Y0 ) ) ) ) )
& ( X1 @ c0 ) )
= $false )
| ( ( X2 @ X3 )
= $true )
| ( ( X2 @ c0 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f42]) ).
thf(f42,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ( X1 @ Y0 )
& ( X2 @ Y0 ) )
=> ( ( X1 @ ( cS @ Y0 ) )
& ( X2 @ ( cS @ Y0 ) ) ) ) )
& ( X1 @ c0 )
& ( X2 @ c0 ) )
= $false )
| ( ( X2 @ X3 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f41]) ).
thf(f41,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( $true
= ( ( X1 @ X3 )
& ( X2 @ X3 ) ) )
| ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ( X1 @ Y0 )
& ( X2 @ Y0 ) )
=> ( ( X1 @ ( cS @ Y0 ) )
& ( X2 @ ( cS @ Y0 ) ) ) ) )
& ( X1 @ c0 )
& ( X2 @ c0 ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f40]) ).
thf(f40,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ( X1 @ Y0 )
& ( X2 @ Y0 ) )
=> ( ( X1 @ ( cS @ Y0 ) )
& ( X2 @ ( cS @ Y0 ) ) ) ) )
& ( X1 @ c0 )
& ( X2 @ c0 ) )
= $false )
| ( ( ^ [Y0: $i] :
( ( X1 @ Y0 )
& ( X2 @ Y0 ) )
@ X3 )
= $true ) ),
inference(pi_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
& ( X2 @ Y0 ) ) ) )
| ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ( X1 @ Y0 )
& ( X2 @ Y0 ) )
=> ( ( X1 @ ( cS @ Y0 ) )
& ( X2 @ ( cS @ Y0 ) ) ) ) )
& ( X1 @ c0 )
& ( X2 @ c0 ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f38]) ).
thf(f38,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ( X1 @ Y0 )
& ( X2 @ Y0 ) )
=> ( ( X1 @ ( cS @ Y0 ) )
& ( X2 @ ( cS @ Y0 ) ) ) ) )
& ( X1 @ c0 )
& ( X2 @ c0 ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
& ( X2 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f37]) ).
thf(f37,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( ( X1 @ Y1 )
& ( Y0 @ Y1 ) )
=> ( ( X1 @ ( cS @ Y1 ) )
& ( Y0 @ ( cS @ Y1 ) ) ) ) )
& ( X1 @ c0 )
& ( Y0 @ c0 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 )
& ( Y0 @ Y1 ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[status(thm)],[f36]) ).
thf(f36,plain,
! [X1: $i > $o] :
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( ( X1 @ Y1 )
& ( Y0 @ Y1 ) )
=> ( ( X1 @ ( cS @ Y1 ) )
& ( Y0 @ ( cS @ Y1 ) ) ) ) )
& ( X1 @ c0 )
& ( Y0 @ c0 ) )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 )
& ( Y0 @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f35]) ).
thf(f35,plain,
! [X1: $i > $o] :
( $true
= ( ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
=> ( ( Y0 @ ( cS @ Y2 ) )
& ( Y1 @ ( cS @ Y2 ) ) ) ) )
& ( Y0 @ c0 )
& ( Y1 @ c0 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f13]) ).
thf(f13,plain,
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) )
=> ( ( Y0 @ ( cS @ Y2 ) )
& ( Y1 @ ( cS @ Y2 ) ) ) ) )
& ( Y0 @ c0 )
& ( Y1 @ c0 ) )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f12]) ).
thf(f2594,plain,
( spl0_21
| spl0_14
| ~ spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f2493,f370,f2555,f2591]) ).
thf(f2493,plain,
( ! [X0: $i > $o,X1: $i] :
( ( $true
= ( cNUMBER @ X1 ) )
| ( ( X0 @ c0 )
= $false )
| ( $true
= ( X0 @ ( sK1 @ X0 @ cNUMBER ) ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[status(thm)],[f2492]) ).
thf(f2492,plain,
( ! [X0: $i > $o,X1: $i] :
( ( $true
= ( X0
@ ( sK1 @ X0
@ ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) )
| ( ( X0 @ c0 )
= $false )
| ( ( ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ X1 )
= $true ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f2393]) ).
thf(f2393,plain,
( ! [X0: $i > $o,X1: $i] :
( ( $true
= ( X0
@ ( sK1 @ X0
@ ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) )
| ( ( X0 @ c0 )
= $false )
| ( ( ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ X1 )
= $true )
| ( $true = $false ) )
| ~ spl0_5 ),
inference(superposition,[status(thm)],[f2382,f61]) ).
thf(f61,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( X2 @ c0 )
= $false )
| ( ( X1 @ c0 )
= $false )
| ( ( X2 @ X3 )
= $true )
| ( $true
= ( X1 @ ( sK1 @ X1 @ X2 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f58]) ).
thf(f58,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( X2 @ c0 )
= $false )
| ( ( X1 @ c0 )
= $false )
| ( $true
= ( ( X1 @ ( sK1 @ X1 @ X2 ) )
& ( X2 @ ( sK1 @ X1 @ X2 ) ) ) )
| ( ( X2 @ X3 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f56]) ).
thf(f2588,plain,
( spl0_14
| spl0_18
| ~ spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f2515,f370,f2575,f2555]) ).
thf(f2515,plain,
( ! [X0: $i > $o,X1: $i] :
( ( $true
= ( cNUMBER @ ( sK1 @ X0 @ cNUMBER ) ) )
| ( ( X0 @ c0 )
= $false )
| ( $true
= ( cNUMBER @ X1 ) ) )
| ~ spl0_5 ),
inference(beta_eta_normalization,[status(thm)],[f2514]) ).
thf(f2514,plain,
( ! [X0: $i > $o,X1: $i] :
( ( ( ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ X1 )
= $true )
| ( ( X0 @ c0 )
= $false )
| ( ( ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( sK1 @ X0
@ ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) )
= $true ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f2391]) ).
thf(f2391,plain,
( ! [X0: $i > $o,X1: $i] :
( ( ( X0 @ c0 )
= $false )
| ( ( ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ X1 )
= $true )
| ( $true = $false )
| ( ( ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ ( sK1 @ X0
@ ^ [Y0: $i] :
( cNUMBER
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) )
= $true ) )
| ~ spl0_5 ),
inference(superposition,[status(thm)],[f2382,f60]) ).
thf(f60,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( X2 @ c0 )
= $false )
| ( ( X2 @ X3 )
= $true )
| ( $true
= ( X2 @ ( sK1 @ X1 @ X2 ) ) )
| ( ( X1 @ c0 )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f58]) ).
thf(f373,plain,
( spl0_5
| spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f345,f199,f370]) ).
thf(f199,definition,
( spl0_2
<=> ! [X0: $i] :
( ( cEVEN @ X0 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f345,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ c0 )
= $false )
| ( ( X0 @ ( sK1 @ X0 @ cEVEN ) )
= $true )
| ( $true
= ( cEVEN @ X1 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f344]) ).
thf(f344,plain,
! [X0: $i > $o,X1: $i] :
( ( $true
= ( X0
@ ( sK1 @ X0
@ ^ [Y0: $i] :
( cEVEN
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) )
| ( ( X0 @ c0 )
= $false )
| ( ( ^ [Y0: $i] :
( cEVEN
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ X1 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f334]) ).
thf(f334,plain,
! [X0: $i > $o,X1: $i] :
( ( $true
= ( X0
@ ( sK1 @ X0
@ ^ [Y0: $i] :
( cEVEN
@ ( ^ [Y1: $i] : Y1
@ Y0 ) ) ) ) )
| ( ( X0 @ c0 )
= $false )
| ( $true = $false )
| ( ( ^ [Y0: $i] :
( cEVEN
@ ( ^ [Y1: $i] : Y1
@ Y0 ) )
@ X1 )
= $true ) ),
inference(superposition,[status(thm)],[f11,f61]) ).
thf(f225,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[status(thm)],[f224]) ).
thf(f224,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f209]) ).
thf(f209,plain,
( ( $true = $false )
| ~ spl0_2 ),
inference(superposition,[status(thm)],[f66,f200]) ).
thf(f200,plain,
( ! [X0: $i] :
( ( cEVEN @ X0 )
= $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f199]) ).
thf(f66,plain,
( ( cEVEN @ sK2 )
= $false ),
inference(trivial_inequality_removal,[status(thm)],[f63]) ).
thf(f63,plain,
( ( $true = $false )
| ( ( cEVEN @ sK2 )
= $false ) ),
inference(superposition,[status(thm)],[f32,f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO330^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.34 % Computer : n014.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue Feb 24 14:28:12 EST 2026
% 0.18/0.34 % CPUTime :
% 0.18/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.32/0.49 ---- Original DTF file ---
% 0.32/0.49 thf(spec,logic,$$dhol).
% 0.32/0.49 %------------------------------------------------------------------------------
% 0.32/0.49 % File : SYO330^5 : TPTP v9.2.1. Released v4.0.0.
% 0.32/0.49 % Domain : Syntactic
% 0.32/0.49 % Problem : TPS problem from BASIC-HO-THMS
% 0.32/0.49 % Version : Especial.
% 0.32/0.49 % English :
% 0.32/0.49
% 0.32/0.49 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.32/0.49 % Source : [Bro09]
% 0.32/0.49 % Names : tps_1035 [Bro09]
% 0.32/0.49
% 0.32/0.49 % Status : Theorem
% 0.32/0.49 % Rating : 0.75 v9.0.0, 0.83 v8.2.0, 0.91 v8.1.0, 0.83 v7.5.0, 1.00 v4.0.0
% 0.32/0.49 % Syntax : Number of formulae : 6 ( 0 unt; 5 typ; 0 def)
% 0.32/0.49 % Number of atoms : 10 ( 0 equ; 0 cnn)
% 0.32/0.49 % Maximal formula atoms : 10 ( 10 avg)
% 0.32/0.49 % Number of connectives : 42 ( 0 ~; 1 |; 10 &; 25 @)
% 0.32/0.49 % ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% 0.32/0.49 % Maximal formula depth : 17 ( 17 avg)
% 0.32/0.49 % Number of types : 2 ( 0 usr)
% 0.32/0.49 % Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% 0.32/0.49 % Number of symbols : 5 ( 5 usr; 1 con; 0-1 aty)
% 0.32/0.49 % Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% 0.32/0.49 % SPC : TH0_THM_NEQ_NAR
% 0.32/0.49
% 0.32/0.49 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.32/0.49 % project in the Department of Mathematical Sciences at Carnegie
% 0.32/0.49 % Mellon University. Distributed under the Creative Commons copyleft
% 0.32/0.49 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.32/0.49 %------------------------------------------------------------------------------
% 0.32/0.49 thf(cNUMBER,type,
% 0.32/0.49 cNUMBER: $i > $o ).
% 0.32/0.49
% 0.32/0.49 thf(cODD,type,
% 0.32/0.49 cODD: $i > $o ).
% 0.32/0.49
% 0.32/0.49 thf(cEVEN,type,
% 0.32/0.49 cEVEN: $i > $o ).
% 0.32/0.49
% 0.32/0.49 thf(cS,type,
% 0.32/0.49 cS: $i > $i ).
% 0.32/0.49
% 0.32/0.49 thf(c0,type,
% 0.32/0.49 c0: $i ).
% 0.32/0.49
% 0.32/0.49 thf(cEVEN_ODD_4,conjecture,
% 0.32/0.49 ( ( ( cEVEN @ c0 )
% 0.32/0.49 & ! [Xn: $i] :
% 0.32/0.49 ( ( cEVEN @ Xn )
% 0.32/0.49 => ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) )
% 0.32/0.49 & ( cODD @ ( cS @ c0 ) )
% 0.32/0.49 & ! [Xn: $i] :
% 0.32/0.49 ( ( cODD @ Xn )
% 0.32/0.49 => ( cODD @ ( cS @ ( cS @ Xn ) ) ) )
% 0.32/0.49 & ! [P: $i > $o,Q: $i > $o] :
% 0.32/0.49 ( ( ( P @ c0 )
% 0.32/0.49 & ( Q @ c0 )
% 0.32/0.49 & ! [Xx: $i] :
% 0.32/0.49 ( ( ( P @ Xx )
% 0.32/0.49 & ( Q @ Xx ) )
% 0.32/0.49 => ( ( P @ ( cS @ Xx ) )
% 0.32/0.49 & ( Q @ ( cS @ Xx ) ) ) ) )
% 0.32/0.49 => ! [Xx: $i] :
% 0.32/0.49 ( ( P @ Xx )
% 0.32/0.49 & ( Q @ Xx ) ) )
% 0.32/0.49 & ! [Xn: $i] :
% 0.32/0.49 ( ( cNUMBER @ Xn )
% 0.32/0.49 <=> ( ( cEVEN @ Xn )
% 0.32/0.49 | ( cODD @ Xn ) ) ) )
% 0.32/0.49 => ! [Xn: $i] : ( cNUMBER @ Xn ) ) ).
% 0.32/0.49
% 0.32/0.49 %------------------------------------------------------------------------------
% 0.32/0.49 ------------------------
% 1.66/1.43 ---- Embedded in THF ---
% 1.66/1.43 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.66/1.43 %%% Generated on Tue Feb 24 14:28:13 EST 2026
% 1.66/1.43 %%% using '$$dhol' embedding, version 1.3.0.
% 1.66/1.43 %%% Logic specification used:
% 1.66/1.43 %%% thf(spec, logic, $$dhol).
% 1.66/1.43
% 1.66/1.43 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.uuuknlfBAe/DTF2DTF7655.p
% See solution above
% 1.66/1.43 ------------------------
% 1.66/1.44 ---- Cleaned THF ---
% 1.66/1.44 thf(cNUMBER,type,
% 1.66/1.44 cNUMBER: $i > $o ).
% 1.66/1.44
% 1.66/1.44 thf(cODD,type,
% 1.66/1.44 cODD: $i > $o ).
% 1.66/1.44
% 1.66/1.44 thf(cEVEN,type,
% 1.66/1.44 cEVEN: $i > $o ).
% 1.66/1.44
% 1.66/1.44 thf(cS,type,
% 1.66/1.44 cS: $i > $i ).
% 1.66/1.44
% 1.66/1.44 thf(c0,type,
% 1.66/1.44 c0: $i ).
% 1.66/1.44
% 1.66/1.44 thf(cEVEN_ODD_4,conjecture,
% 1.66/1.44 ( ( ( cEVEN @ c0 )
% 1.66/1.44 & ! [Xn: $i] :
% 1.66/1.44 ( ( cEVEN @ Xn )
% 1.66/1.44 => ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) )
% 1.66/1.44 & ( cODD @ ( cS @ c0 ) )
% 1.66/1.44 & ! [Xn: $i] :
% 1.66/1.44 ( ( cODD @ Xn )
% 1.66/1.44 => ( cODD @ ( cS @ ( cS @ Xn ) ) ) )
% 1.66/1.44 & ! [P: $i > $o,Q: $i > $o] :
% 1.66/1.44 ( ( ( P @ c0 )
% 1.66/1.44 & ( Q @ c0 )
% 1.66/1.44 & ! [Xx: $i] :
% 1.66/1.44 ( ( ( P @ Xx )
% 1.66/1.44 & ( Q @ Xx ) )
% 1.66/1.44 => ( ( P @ ( cS @ Xx ) )
% 1.66/1.44 & ( Q @ ( cS @ Xx ) ) ) ) )
% 1.66/1.44 => ! [Xx: $i] :
% 1.66/1.44 ( ( P @ Xx )
% 1.66/1.44 & ( Q @ Xx ) ) )
% 1.66/1.44 & ! [Xn: $i] :
% 1.66/1.44 ( ( cNUMBER @ Xn )
% 1.66/1.44 <=> ( ( cEVEN @ Xn )
% 1.66/1.44 | ( cODD @ Xn ) ) ) )
% 1.66/1.44 => ! [Xn: $i] : ( cNUMBER @ Xn ) ) ).
% 1.66/1.44 ------------------------
% 1.66/1.46 % (7760)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_7655 for (2999ds/183Mi)
% 1.66/1.46 % (7766)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_7655 for (2999ds/18Mi)
% 1.66/1.46 % (7762)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_7655 for (2999ds/27Mi)
% 1.66/1.46 % (7765)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_7655 for (2999ds/275Mi)
% 1.66/1.46 % (7764)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_7655 for (2999ds/2Mi)
% 1.66/1.46 % (7761)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_7655 for (2999ds/4Mi)
% 1.66/1.46 % (7763)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_7655 for (2999ds/2Mi)
% 1.66/1.46 % (7763)Instruction limit reached!
% 1.66/1.46 % (7763)------------------------------
% 1.66/1.46 % (7763)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.46 % (7763)Termination reason: Unknown
% 1.66/1.46 % (7764)Instruction limit reached!
% 1.66/1.46 % (7764)------------------------------
% 1.66/1.46 % (7764)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.46 % (7763)Termination phase: Property scanning
% 1.66/1.46
% 1.66/1.46 % (7763)Memory used [KB]: 1023
% 1.66/1.46 % (7763)Time elapsed: 0.003 s
% 1.66/1.46 % (7763)Instructions burned: 2 (million)
% 1.66/1.46 % (7763)------------------------------
% 1.66/1.46 % (7763)------------------------------
% 1.66/1.46 % (7764)Termination reason: Unknown
% 1.66/1.46 % (7764)Termination phase: Saturation
% 1.66/1.46
% 1.66/1.46 % (7764)Memory used [KB]: 1023
% 1.66/1.46 % (7764)Time elapsed: 0.003 s
% 1.66/1.46 % (7764)Instructions burned: 2 (million)
% 1.66/1.46 % (7764)------------------------------
% 1.66/1.46 % (7764)------------------------------
% 1.66/1.46 % (7761)Instruction limit reached!
% 1.66/1.46 % (7761)------------------------------
% 1.66/1.46 % (7761)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.46 % (7761)Termination reason: Unknown
% 1.66/1.46 % (7761)Termination phase: Saturation
% 1.66/1.46
% 1.66/1.46 % (7761)Memory used [KB]: 5500
% 1.66/1.46 % (7761)Time elapsed: 0.005 s
% 1.66/1.46 % (7761)Instructions burned: 5 (million)
% 1.66/1.46 % (7761)------------------------------
% 1.66/1.46 % (7761)------------------------------
% 1.66/1.47 % (7766)Instruction limit reached!
% 1.66/1.47 % (7766)------------------------------
% 1.66/1.47 % (7766)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.47 % (7766)Termination reason: Unknown
% 1.66/1.47 % (7766)Termination phase: Saturation
% 1.66/1.47
% 1.66/1.47 % (7766)Memory used [KB]: 5628
% 1.66/1.47 % (7766)Time elapsed: 0.012 s
% 1.66/1.47 % (7766)Instructions burned: 18 (million)
% 1.66/1.47 % (7766)------------------------------
% 1.66/1.47 % (7766)------------------------------
% 1.66/1.48 % (7762)Instruction limit reached!
% 1.66/1.48 % (7762)------------------------------
% 1.66/1.48 % (7762)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.48 % (7762)Termination reason: Unknown
% 1.66/1.48 % (7762)Termination phase: Saturation
% 1.66/1.48
% 1.66/1.48 % (7762)Memory used [KB]: 5628
% 1.66/1.48 % (7762)Time elapsed: 0.018 s
% 1.66/1.48 % (7762)Instructions burned: 28 (million)
% 1.66/1.48 % (7762)------------------------------
% 1.66/1.48 % (7762)------------------------------
% 1.66/1.48 % (7767)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_7655 for (2999ds/3Mi)
% 1.66/1.48 % (7768)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_7655 for (2999ds/37Mi)
% 1.66/1.48 % (7767)Instruction limit reached!
% 1.66/1.48 % (7767)------------------------------
% 1.66/1.48 % (7767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.48 % (7767)Termination reason: Unknown
% 1.66/1.48 % (7767)Termination phase: Saturation
% 1.66/1.48
% 1.66/1.48 % (7767)Memory used [KB]: 5500
% 1.66/1.48 % (7767)Time elapsed: 0.003 s
% 1.66/1.48 % (7767)Instructions burned: 3 (million)
% 1.66/1.48 % (7767)------------------------------
% 1.66/1.48 % (7767)------------------------------
% 1.66/1.48 % (7769)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_7655 for (2999ds/15Mi)
% 1.66/1.49 % (7770)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_7655 for (2999ds/3Mi)
% 1.66/1.49 % (7769)Instruction limit reached!
% 1.66/1.49 % (7769)------------------------------
% 1.66/1.49 % (7769)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.49 % (7769)Termination reason: Unknown
% 1.66/1.49 % (7769)Termination phase: Saturation
% 1.66/1.49
% 1.66/1.49 % (7769)Memory used [KB]: 5628
% 1.66/1.49 % (7769)Time elapsed: 0.010 s
% 1.66/1.49 % (7769)Instructions burned: 15 (million)
% 1.66/1.49 % (7769)------------------------------
% 1.66/1.49 % (7769)------------------------------
% 1.66/1.49 % (7770)Instruction limit reached!
% 1.66/1.49 % (7770)------------------------------
% 1.66/1.49 % (7770)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.49 % (7770)Termination reason: Unknown
% 1.66/1.49 % (7770)Termination phase: Saturation
% 1.66/1.49
% 1.66/1.49 % (7770)Memory used [KB]: 5500
% 1.66/1.49 % (7770)Time elapsed: 0.003 s
% 1.66/1.49 % (7770)Instructions burned: 3 (million)
% 1.66/1.49 % (7770)------------------------------
% 1.66/1.49 % (7770)------------------------------
% 1.66/1.49 % (7771)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_7655 for (2999ds/1041Mi)
% 1.66/1.49 % (7772)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_7655 for (2999ds/7Mi)
% 1.66/1.50 % (7768)Instruction limit reached!
% 1.66/1.50 % (7768)------------------------------
% 1.66/1.50 % (7768)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.50 % (7768)Termination reason: Unknown
% 1.66/1.50 % (7768)Termination phase: Saturation
% 1.66/1.50
% 1.66/1.50 % (7768)Memory used [KB]: 5628
% 1.73/1.50 % (7768)Time elapsed: 0.021 s
% 1.73/1.50 % (7768)Instructions burned: 38 (million)
% 1.73/1.50 % (7768)------------------------------
% 1.73/1.50 % (7768)------------------------------
% 1.73/1.50 % (7772)Instruction limit reached!
% 1.73/1.50 % (7772)------------------------------
% 1.73/1.50 % (7772)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.50 % (7772)Termination reason: Unknown
% 1.73/1.50 % (7772)Termination phase: Saturation
% 1.73/1.50
% 1.73/1.50 % (7772)Memory used [KB]: 1023
% 1.73/1.50 % (7772)Time elapsed: 0.006 s
% 1.73/1.50 % (7772)Instructions burned: 8 (million)
% 1.73/1.50 % (7772)------------------------------
% 1.73/1.50 % (7772)------------------------------
% 1.73/1.50 % (7773)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_7655 for (2999ds/16Mi)
% 1.73/1.50 % (7774)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_7655 for (2999ds/3Mi)
% 1.73/1.50 % (7774)Instruction limit reached!
% 1.73/1.50 % (7774)------------------------------
% 1.73/1.50 % (7774)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.50 % (7774)Termination reason: Unknown
% 1.73/1.50 % (7774)Termination phase: Twee Goal Transformation
% 1.73/1.50
% 1.73/1.50 % (7774)Memory used [KB]: 1023
% 1.73/1.50 % (7774)Time elapsed: 0.003 s
% 1.73/1.50 % (7774)Instructions burned: 3 (million)
% 1.73/1.51 % (7774)------------------------------
% 1.73/1.51 % (7774)------------------------------
% 1.73/1.51 % (7773)Instruction limit reached!
% 1.73/1.51 % (7773)------------------------------
% 1.73/1.51 % (7773)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.51 % (7775)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_7655 for (2999ds/3Mi)
% 1.73/1.51 % (7773)Termination reason: Unknown
% 1.73/1.51 % (7773)Termination phase: Saturation
% 1.73/1.51
% 1.73/1.51 % (7773)Memory used [KB]: 5628
% 1.73/1.51 % (7773)Time elapsed: 0.011 s
% 1.73/1.51 % (7773)Instructions burned: 17 (million)
% 1.73/1.51 % (7773)------------------------------
% 1.73/1.51 % (7773)------------------------------
% 1.73/1.51 % (7775)Instruction limit reached!
% 1.73/1.51 % (7775)------------------------------
% 1.73/1.51 % (7775)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.51 % (7775)Termination reason: Unknown
% 1.73/1.51 % (7775)Termination phase: Property scanning
% 1.73/1.51
% 1.73/1.51 % (7775)Memory used [KB]: 1023
% 1.73/1.51 % (7775)Time elapsed: 0.003 s
% 1.73/1.51 % (7775)Instructions burned: 3 (million)
% 1.73/1.51 % (7775)------------------------------
% 1.73/1.51 % (7775)------------------------------
% 1.73/1.51 % (7776)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_7655 for (2999ds/7Mi)
% 1.73/1.52 % (7776)Instruction limit reached!
% 1.73/1.52 % (7776)------------------------------
% 1.73/1.52 % (7776)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.52 % (7776)Termination reason: Unknown
% 1.73/1.52 % (7776)Termination phase: Saturation
% 1.73/1.52
% 1.73/1.52 % (7776)Memory used [KB]: 5500
% 1.73/1.52 % (7776)Time elapsed: 0.005 s
% 1.73/1.52 % (7776)Instructions burned: 7 (million)
% 1.73/1.52 % (7776)------------------------------
% 1.73/1.52 % (7776)------------------------------
% 1.73/1.52 % (7777)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_7655 for (2999ds/3Mi)
% 1.73/1.52 % (7777)Instruction limit reached!
% 1.73/1.52 % (7777)------------------------------
% 1.73/1.52 % (7777)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.52 % (7777)Termination reason: Unknown
% 1.73/1.52 % (7777)Termination phase: Saturation
% 1.73/1.52
% 1.73/1.52 % (7777)Memory used [KB]: 5500
% 1.73/1.52 % (7777)Time elapsed: 0.003 s
% 1.73/1.52 % (7777)Instructions burned: 3 (million)
% 1.73/1.52 % (7777)------------------------------
% 1.73/1.52 % (7777)------------------------------
% 1.73/1.53 % (7778)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_7655 for (2999ds/4Mi)
% 1.73/1.53 % (7779)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_7655 for (2999ds/18Mi)
% 1.73/1.53 % (7778)Instruction limit reached!
% 1.73/1.53 % (7778)------------------------------
% 1.73/1.53 % (7778)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.53 % (7778)Termination reason: Unknown
% 1.73/1.53 % (7778)Termination phase: Saturation
% 1.73/1.53
% 1.73/1.53 % (7778)Memory used [KB]: 5500
% 1.73/1.53 % (7778)Time elapsed: 0.004 s
% 1.73/1.53 % (7778)Instructions burned: 4 (million)
% 1.73/1.53 % (7778)------------------------------
% 1.73/1.53 % (7778)------------------------------
% 1.73/1.53 % (7780)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_7655 for (2999ds/710Mi)
% 1.73/1.54 % (7781)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_7655 for (2999ds/6Mi)
% 1.73/1.54 % (7779)Instruction limit reached!
% 1.73/1.54 % (7779)------------------------------
% 1.73/1.54 % (7779)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.54 % (7779)Termination reason: Unknown
% 1.73/1.54 % (7779)Termination phase: Saturation
% 1.73/1.54
% 1.73/1.54 % (7779)Memory used [KB]: 5628
% 1.73/1.54 % (7779)Time elapsed: 0.011 s
% 1.73/1.54 % (7779)Instructions burned: 18 (million)
% 1.73/1.54 % (7779)------------------------------
% 1.73/1.54 % (7779)------------------------------
% 1.73/1.54 % (7781)Instruction limit reached!
% 1.73/1.54 % (7781)------------------------------
% 1.73/1.54 % (7781)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.54 % (7781)Termination reason: Unknown
% 1.73/1.54 % (7781)Termination phase: Saturation
% 1.73/1.54
% 1.73/1.54 % (7781)Memory used [KB]: 5500
% 1.73/1.54 % (7781)Time elapsed: 0.005 s
% 1.73/1.54 % (7781)Instructions burned: 7 (million)
% 1.73/1.54 % (7781)------------------------------
% 1.73/1.54 % (7781)------------------------------
% 1.73/1.55 % (7782)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_7655 for (2999ds/902Mi)
% 1.73/1.55 % (7760)Instruction limit reached!
% 1.73/1.55 % (7760)------------------------------
% 1.73/1.55 % (7760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.55 % (7760)Termination reason: Unknown
% 1.73/1.55 % (7760)Termination phase: Saturation
% 1.73/1.55
% 1.73/1.55 % (7760)Memory used [KB]: 6652
% 1.73/1.55 % (7760)Time elapsed: 0.095 s
% 1.73/1.55 % (7760)Instructions burned: 183 (million)
% 1.73/1.55 % (7760)------------------------------
% 1.73/1.55 % (7760)------------------------------
% 1.73/1.56 % (7783)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_7655 for (2999ds/21Mi)
% 1.73/1.56 % (7784)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_7655 for (2999ds/5Mi)
% 1.73/1.56 % (7784)Instruction limit reached!
% 1.73/1.56 % (7784)------------------------------
% 1.73/1.56 % (7784)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.56 % (7784)Termination reason: Unknown
% 1.73/1.56 % (7784)Termination phase: Saturation
% 1.73/1.56
% 1.73/1.56 % (7784)Memory used [KB]: 5500
% 1.73/1.56 % (7784)Time elapsed: 0.004 s
% 1.73/1.56 % (7784)Instructions burned: 5 (million)
% 1.73/1.56 % (7784)------------------------------
% 1.73/1.56 % (7784)------------------------------
% 1.73/1.57 % (7783)Instruction limit reached!
% 1.73/1.57 % (7783)------------------------------
% 1.73/1.57 % (7783)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.57 % (7783)Termination reason: Unknown
% 1.73/1.57 % (7783)Termination phase: Saturation
% 1.73/1.57
% 1.73/1.57 % (7783)Memory used [KB]: 5628
% 1.73/1.57 % (7783)Time elapsed: 0.014 s
% 1.73/1.57 % (7783)Instructions burned: 21 (million)
% 1.73/1.57 % (7783)------------------------------
% 1.73/1.57 % (7783)------------------------------
% 1.73/1.57 % (7785)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_7655 for (2999ds/6Mi)
% 1.73/1.57 % (7785)Instruction limit reached!
% 1.73/1.57 % (7785)------------------------------
% 1.73/1.57 % (7785)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.57 % (7785)Termination reason: Unknown
% 1.73/1.57 % (7785)Termination phase: Saturation
% 1.73/1.57
% 1.73/1.57 % (7785)Memory used [KB]: 5500
% 1.73/1.57 % (7785)Time elapsed: 0.005 s
% 1.73/1.57 % (7785)Instructions burned: 7 (million)
% 1.73/1.57 % (7785)------------------------------
% 1.73/1.57 % (7785)------------------------------
% 1.73/1.58 % (7786)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_7655 for (2998ds/377Mi)
% 1.73/1.58 % (7787)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_7655 for (2998ds/779Mi)
% 1.73/1.59 % (7788)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_7655 for (2998ds/19Mi)
% 1.73/1.60 % (7765)Instruction limit reached!
% 1.73/1.60 % (7765)------------------------------
% 1.73/1.60 % (7765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.60 % (7765)Termination reason: Unknown
% 1.73/1.60 % (7765)Termination phase: Saturation
% 1.73/1.60
% 1.73/1.60 % (7765)Memory used [KB]: 6268
% 1.73/1.60 % (7765)Time elapsed: 0.138 s
% 1.73/1.60 % (7765)Instructions burned: 275 (million)
% 1.73/1.60 % (7765)------------------------------
% 1.73/1.60 % (7765)------------------------------
% 1.73/1.60 % (7788)Instruction limit reached!
% 1.73/1.60 % (7788)------------------------------
% 1.73/1.60 % (7788)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.60 % (7788)Termination reason: Unknown
% 1.73/1.60 % (7788)Termination phase: Saturation
% 1.73/1.60
% 1.73/1.60 % (7788)Memory used [KB]: 5500
% 1.73/1.60 % (7788)Time elapsed: 0.032 s
% 1.73/1.60 % (7788)Instructions burned: 19 (million)
% 1.73/1.60 % (7788)------------------------------
% 1.73/1.60 % (7788)------------------------------
% 1.73/1.61 % (7789)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_7655 for (2998ds/879Mi)
% 1.73/1.61 % (7790)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_7655 for (2998ds/17Mi)
% 1.73/1.62 % (7790)Instruction limit reached!
% 1.73/1.62 % (7790)------------------------------
% 1.73/1.62 % (7790)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.62 % (7790)Termination reason: Unknown
% 1.73/1.62 % (7790)Termination phase: Saturation
% 1.73/1.62
% 1.73/1.62 % (7790)Memory used [KB]: 5628
% 1.73/1.62 % (7790)Time elapsed: 0.034 s
% 1.73/1.62 % (7790)Instructions burned: 17 (million)
% 1.73/1.62 % (7790)------------------------------
% 1.73/1.62 % (7790)------------------------------
% 1.73/1.64 % (7791)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_7655 for (2998ds/3Mi)
% 1.73/1.64 % (7791)Instruction limit reached!
% 1.73/1.64 % (7791)------------------------------
% 1.73/1.64 % (7791)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.64 % (7791)Termination reason: Unknown
% 1.73/1.64 % (7791)Termination phase: Saturation
% 1.73/1.64
% 1.73/1.64 % (7791)Memory used [KB]: 1023
% 1.73/1.64 % (7791)Time elapsed: 0.004 s
% 1.73/1.64 % (7791)Instructions burned: 4 (million)
% 1.73/1.64 % (7791)------------------------------
% 1.73/1.64 % (7791)------------------------------
% 1.73/1.66 % (7792)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_7655 for (2998ds/30Mi)
% 1.73/1.67 % (7792)Instruction limit reached!
% 1.73/1.67 % (7792)------------------------------
% 1.73/1.67 % (7792)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.67 % (7792)Termination reason: Unknown
% 1.73/1.67 % (7792)Termination phase: Saturation
% 1.73/1.67
% 1.73/1.67 % (7792)Memory used [KB]: 5628
% 1.73/1.67 % (7792)Time elapsed: 0.018 s
% 1.73/1.67 % (7792)Instructions burned: 30 (million)
% 1.73/1.67 % (7792)------------------------------
% 1.73/1.67 % (7792)------------------------------
% 1.73/1.69 % (7793)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_7655 for (2997ds/127Mi)
% 1.73/1.76 % (7793)Instruction limit reached!
% 1.73/1.76 % (7793)------------------------------
% 1.73/1.76 % (7793)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.76 % (7793)Termination reason: Unknown
% 1.73/1.76 % (7793)Termination phase: Saturation
% 1.73/1.76
% 1.73/1.76 % (7793)Memory used [KB]: 5756
% 1.73/1.76 % (7793)Time elapsed: 0.066 s
% 1.73/1.76 % (7793)Instructions burned: 129 (million)
% 1.73/1.76 % (7793)------------------------------
% 1.73/1.76 % (7793)------------------------------
% 1.73/1.76 % (7786)Instruction limit reached!
% 1.73/1.76 % (7786)------------------------------
% 1.73/1.76 % (7786)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.76 % (7786)Termination reason: Unknown
% 1.73/1.76 % (7786)Termination phase: Saturation
% 1.73/1.76
% 1.73/1.76 % (7786)Memory used [KB]: 6524
% 1.73/1.76 % (7786)Time elapsed: 0.188 s
% 1.73/1.76 % (7786)Instructions burned: 377 (million)
% 1.73/1.76 % (7786)------------------------------
% 1.73/1.76 % (7786)------------------------------
% 1.73/1.77 % (7794)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_7655 for (2996ds/100Mi)
% 1.73/1.78 % (7795)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_7655 for (2996ds/3Mi)
% 1.73/1.78 % (7795)Instruction limit reached!
% 1.73/1.78 % (7795)------------------------------
% 1.73/1.78 % (7795)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.78 % (7795)Termination reason: Unknown
% 1.73/1.78 % (7795)Termination phase: Saturation
% 1.73/1.78
% 1.73/1.78 % (7795)Memory used [KB]: 5500
% 1.73/1.78 % (7795)Time elapsed: 0.004 s
% 1.73/1.78 % (7795)Instructions burned: 4 (million)
% 1.73/1.78 % (7795)------------------------------
% 1.73/1.78 % (7795)------------------------------
% 1.73/1.79 % (7794)Refutation not found, incomplete strategy
% 1.73/1.79 % (7794)------------------------------
% 1.73/1.79 % (7794)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.79 % (7794)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.79
% 1.73/1.79
% 1.73/1.79 % (7794)Memory used [KB]: 5628
% 1.73/1.79 % (7794)Time elapsed: 0.015 s
% 1.73/1.79 % (7794)Instructions burned: 24 (million)
% 1.73/1.79 % (7794)------------------------------
% 1.73/1.79 % (7794)------------------------------
% 1.73/1.80 % (7796)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_7655 for (2996ds/20Mi)
% 1.73/1.80 % (7797)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_7655 for (2996ds/86Mi)
% 1.73/1.81 % (7796)Instruction limit reached!
% 1.73/1.81 % (7796)------------------------------
% 1.73/1.81 % (7796)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.81 % (7796)Termination reason: Unknown
% 1.73/1.81 % (7796)Termination phase: Saturation
% 1.73/1.81
% 1.73/1.81 % (7796)Memory used [KB]: 5628
% 1.73/1.81 % (7796)Time elapsed: 0.013 s
% 1.73/1.81 % (7796)Instructions burned: 20 (million)
% 1.73/1.81 % (7796)------------------------------
% 1.73/1.81 % (7796)------------------------------
% 1.73/1.83 % (7798)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_7655 for (2996ds/107Mi)
% 1.73/1.85 % (7797)Instruction limit reached!
% 1.73/1.85 % (7797)------------------------------
% 1.73/1.85 % (7797)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.85 % (7797)Termination reason: Unknown
% 1.73/1.85 % (7797)Termination phase: Saturation
% 1.73/1.85
% 1.73/1.85 % (7797)Memory used [KB]: 5884
% 1.73/1.85 % (7797)Time elapsed: 0.045 s
% 1.73/1.85 % (7797)Instructions burned: 86 (million)
% 1.73/1.85 % (7797)------------------------------
% 1.73/1.85 % (7797)------------------------------
% 1.73/1.86 % (7799)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_7655 for (2996ds/39Mi)
% 1.73/1.88 % (7798)Instruction limit reached!
% 1.73/1.88 % (7798)------------------------------
% 1.73/1.88 % (7798)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.88 % (7798)Termination reason: Unknown
% 1.73/1.88 % (7798)Termination phase: Saturation
% 1.73/1.88
% 1.73/1.88 % (7798)Memory used [KB]: 5884
% 1.73/1.88 % (7798)Time elapsed: 0.057 s
% 1.73/1.88 % (7798)Instructions burned: 108 (million)
% 1.73/1.88 % (7798)------------------------------
% 1.73/1.88 % (7798)------------------------------
% 1.73/1.88 % (7799)Instruction limit reached!
% 1.73/1.88 % (7799)------------------------------
% 1.73/1.88 % (7799)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.88 % (7799)Termination reason: Unknown
% 1.73/1.88 % (7799)Termination phase: Saturation
% 1.73/1.88
% 1.73/1.88 % (7799)Memory used [KB]: 5628
% 1.73/1.88 % (7799)Time elapsed: 0.022 s
% 1.73/1.88 % (7799)Instructions burned: 40 (million)
% 1.73/1.88 % (7799)------------------------------
% 1.73/1.88 % (7799)------------------------------
% 1.73/1.89 % (7780)Instruction limit reached!
% 1.73/1.89 % (7780)------------------------------
% 1.73/1.89 % (7780)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.89 % (7780)Termination reason: Unknown
% 1.73/1.89 % (7780)Termination phase: Saturation
% 1.73/1.89
% 1.73/1.89 % (7780)Memory used [KB]: 6908
% 1.73/1.89 % (7780)Time elapsed: 0.358 s
% 1.73/1.89 % (7780)Instructions burned: 710 (million)
% 1.73/1.89 % (7780)------------------------------
% 1.73/1.89 % (7780)------------------------------
% 1.73/1.90 % (7800)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_7655 for (2995ds/448Mi)
% 1.73/1.90 % (7801)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_7655 for (2995ds/46Mi)
% 1.73/1.91 % (7802)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_7655 for (2995ds/98Mi)
% 1.73/1.92 % (7801)Instruction limit reached!
% 1.73/1.92 % (7801)------------------------------
% 1.73/1.92 % (7801)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.92 % (7801)Termination reason: Unknown
% 1.73/1.92 % (7801)Termination phase: Saturation
% 1.73/1.92
% 1.73/1.92 % (7801)Memory used [KB]: 5756
% 1.73/1.92 % (7801)Time elapsed: 0.027 s
% 1.73/1.92 % (7801)Instructions burned: 46 (million)
% 1.73/1.92 % (7801)------------------------------
% 1.73/1.92 % (7801)------------------------------
% 1.73/1.94 % (7803)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_7655 for (2995ds/507Mi)
% 1.73/1.96 % (7802)Instruction limit reached!
% 1.73/1.96 % (7802)------------------------------
% 1.73/1.96 % (7802)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.96 % (7802)Termination reason: Unknown
% 1.73/1.96 % (7802)Termination phase: Saturation
% 1.73/1.96
% 1.73/1.96 % (7802)Memory used [KB]: 1279
% 1.73/1.96 % (7802)Time elapsed: 0.051 s
% 1.73/1.96 % (7802)Instructions burned: 99 (million)
% 1.73/1.96 % (7802)------------------------------
% 1.73/1.96 % (7802)------------------------------
% 1.73/1.96 % (7787)Instruction limit reached!
% 1.73/1.96 % (7787)------------------------------
% 1.73/1.96 % (7787)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.96 % (7787)Termination reason: Unknown
% 1.73/1.96 % (7787)Termination phase: Saturation
% 1.73/1.96
% 1.73/1.96 % (7787)Memory used [KB]: 6780
% 1.73/1.96 % (7787)Time elapsed: 0.403 s
% 1.73/1.96 % (7787)Instructions burned: 780 (million)
% 1.73/1.96 % (7787)------------------------------
% 1.73/1.96 % (7787)------------------------------
% 1.73/1.97 % (7771)Instruction limit reached!
% 1.73/1.97 % (7771)------------------------------
% 1.73/1.97 % (7771)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.97 % (7771)Termination reason: Unknown
% 1.73/1.97 % (7771)Termination phase: Saturation
% 1.73/1.97
% 1.73/1.97 % (7771)Memory used [KB]: 7419
% 1.73/1.97 % (7771)Time elapsed: 0.476 s
% 1.73/1.97 % (7771)Instructions burned: 1043 (million)
% 1.73/1.97 % (7771)------------------------------
% 1.73/1.97 % (7771)------------------------------
% 1.73/1.97 % (7804)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_7655 for (2994ds/149Mi)
% 1.73/1.98 % (7806)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_7655 for (2994ds/6Mi)
% 1.73/1.98 % (7805)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_7655 for (2994ds/39Mi)
% 1.73/1.98 % (7782)Instruction limit reached!
% 1.73/1.98 % (7782)------------------------------
% 1.73/1.98 % (7782)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.98 % (7782)Termination reason: Unknown
% 1.73/1.98 % (7782)Termination phase: Saturation
% 1.73/1.98
% 1.73/1.98 % (7782)Memory used [KB]: 7419
% 1.73/1.98 % (7782)Time elapsed: 0.439 s
% 1.73/1.98 % (7782)Instructions burned: 902 (million)
% 1.73/1.98 % (7782)------------------------------
% 1.73/1.98 % (7782)------------------------------
% 1.73/1.99 % (7806)Instruction limit reached!
% 1.73/1.99 % (7806)------------------------------
% 1.73/1.99 % (7806)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.99 % (7806)Termination reason: Unknown
% 1.73/1.99 % (7806)Termination phase: Saturation
% 1.73/1.99
% 1.73/1.99 % (7806)Memory used [KB]: 9978
% 1.73/1.99 % (7806)Time elapsed: 0.006 s
% 1.73/1.99 % (7806)Instructions burned: 7 (million)
% 1.73/1.99 % (7806)------------------------------
% 1.73/1.99 % (7806)------------------------------
% 1.73/2.00 % (7807)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_7655 for (2994ds/1087Mi)
% 1.73/2.00 % (7808)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_7655 for (2994ds/47Mi)
% 1.73/2.00 % (7805)Instruction limit reached!
% 1.73/2.00 % (7805)------------------------------
% 1.73/2.00 % (7805)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/2.00 % (7805)Termination reason: Unknown
% 1.73/2.00 % (7805)Termination phase: Saturation
% 1.73/2.00
% 1.73/2.00 % (7805)Memory used [KB]: 5628
% 1.73/2.00 % (7805)Time elapsed: 0.023 s
% 1.73/2.00 % (7805)Instructions burned: 39 (million)
% 1.73/2.00 % (7805)------------------------------
% 1.73/2.00 % (7805)------------------------------
% 1.73/2.02 % (7809)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_7655 for (2994ds/44Mi)
% 1.73/2.03 % (7808)Instruction limit reached!
% 1.73/2.03 % (7808)------------------------------
% 1.73/2.03 % (7808)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/2.03 % (7808)Termination reason: Unknown
% 1.73/2.03 % (7808)Termination phase: Saturation
% 1.73/2.03
% 1.73/2.03 % (7808)Memory used [KB]: 5628
% 1.73/2.03 % (7808)Time elapsed: 0.026 s
% 1.73/2.03 % (7808)Instructions burned: 47 (million)
% 1.73/2.03 % (7808)------------------------------
% 1.73/2.03 % (7808)------------------------------
% 5.69/2.04 % (7809)Instruction limit reached!
% 5.69/2.04 % (7809)------------------------------
% 5.69/2.04 % (7809)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.69/2.04 % (7809)Termination reason: Unknown
% 5.69/2.04 % (7809)Termination phase: Saturation
% 5.69/2.04
% 5.69/2.04 % (7809)Memory used [KB]: 1151
% 5.69/2.04 % (7809)Time elapsed: 0.025 s
% 5.69/2.04 % (7809)Instructions burned: 45 (million)
% 5.69/2.04 % (7809)------------------------------
% 5.69/2.04 % (7809)------------------------------
% 5.69/2.04 % (7810)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_7655 for (2994ds/432Mi)
% 5.69/2.05 % (7804)Instruction limit reached!
% 5.69/2.05 % (7804)------------------------------
% 5.69/2.05 % (7804)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.69/2.05 % (7804)Termination reason: Unknown
% 5.69/2.05 % (7804)Termination phase: Saturation
% 5.69/2.05
% 5.69/2.05 % (7804)Memory used [KB]: 5884
% 5.69/2.05 % (7804)Time elapsed: 0.081 s
% 5.69/2.05 % (7804)Instructions burned: 150 (million)
% 5.69/2.05 % (7804)------------------------------
% 5.69/2.05 % (7804)------------------------------
% 5.69/2.05 % (7789)Instruction limit reached!
% 5.69/2.05 % (7789)------------------------------
% 5.69/2.05 % (7789)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.69/2.05 % (7789)Termination reason: Unknown
% 5.69/2.05 % (7789)Termination phase: Saturation
% 5.69/2.05
% 5.69/2.05 % (7789)Memory used [KB]: 7419
% 5.69/2.05 % (7789)Time elapsed: 0.467 s
% 5.69/2.05 % (7789)Instructions burned: 879 (million)
% 5.69/2.05 % (7789)------------------------------
% 5.69/2.05 % (7789)------------------------------
% 5.69/2.06 % (7811)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_7655 for (2994ds/62Mi)
% 5.69/2.07 % (7812)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_7655 for (2994ds/31Mi)
% 5.69/2.07 % (7807)Refutation not found, incomplete strategy
% 5.69/2.07 % (7807)------------------------------
% 5.69/2.07 % (7807)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.69/2.07 % (7807)Termination reason: Refutation not found, incomplete strategy
% 5.69/2.07
% 5.69/2.07
% 5.69/2.07 % (7807)Memory used [KB]: 5884
% 5.69/2.07 % (7807)Time elapsed: 0.070 s
% 5.69/2.07 % (7807)Instructions burned: 131 (million)
% 5.69/2.07 % (7807)------------------------------
% 5.69/2.07 % (7807)------------------------------
% 5.69/2.07 % (7813)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_7655 for (2994ds/96Mi)
% 5.69/2.08 % (7812)Instruction limit reached!
% 5.69/2.08 % (7812)------------------------------
% 5.69/2.08 % (7812)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.69/2.08 % (7812)Termination reason: Unknown
% 5.69/2.08 % (7812)Termination phase: Saturation
% 5.69/2.08
% 5.69/2.08 % (7812)Memory used [KB]: 5628
% 5.69/2.08 % (7812)Time elapsed: 0.018 s
% 5.69/2.08 % (7812)Instructions burned: 32 (million)
% 5.69/2.08 % (7812)------------------------------
% 5.69/2.08 % (7812)------------------------------
% 5.69/2.09 % (7814)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_7655 for (2993ds/453Mi)
% 5.69/2.09 % (7811)Instruction limit reached!
% 5.69/2.09 % (7811)------------------------------
% 5.69/2.09 % (7811)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.69/2.09 % (7811)Termination reason: Unknown
% 5.69/2.09 % (7811)Termination phase: Saturation
% 5.69/2.09
% 5.69/2.09 % (7811)Memory used [KB]: 5884
% 5.69/2.09 % (7811)Time elapsed: 0.032 s
% 5.69/2.09 % (7811)Instructions burned: 62 (million)
% 5.69/2.09 % (7811)------------------------------
% 5.69/2.09 % (7811)------------------------------
% 5.69/2.10 % (7815)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_7655 for (2993ds/71Mi)
% 5.69/2.11 % (7816)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_7655 for (2993ds/83Mi)
% 5.69/2.12 % (7800)Instruction limit reached!
% 5.69/2.12 % (7800)------------------------------
% 5.69/2.12 % (7800)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.69/2.12 % (7800)Termination reason: Unknown
% 5.69/2.12 % (7800)Termination phase: Saturation
% 5.69/2.12
% 5.69/2.12 % (7800)Memory used [KB]: 6140
% 5.69/2.12 % (7800)Time elapsed: 0.224 s
% 5.69/2.12 % (7800)Instructions burned: 449 (million)
% 5.69/2.12 % (7800)------------------------------
% 5.69/2.12 % (7800)------------------------------
% 5.69/2.12 % (7813)Instruction limit reached!
% 5.69/2.12 % (7813)------------------------------
% 5.69/2.12 % (7813)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.69/2.12 % (7813)Termination reason: Unknown
% 5.69/2.12 % (7813)Termination phase: Saturation
% 5.69/2.12
% 5.69/2.12 % (7813)Memory used [KB]: 5756
% 5.69/2.12 % (7813)Time elapsed: 0.051 s
% 5.69/2.12 % (7813)Instructions burned: 97 (million)
% 5.69/2.12 % (7813)------------------------------
% 5.69/2.12 % (7813)------------------------------
% 6.24/2.13 % (7814)Refutation not found, incomplete strategy
% 6.24/2.13 % (7814)------------------------------
% 6.24/2.13 % (7814)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.13 % (7814)Termination reason: Refutation not found, incomplete strategy
% 6.24/2.13
% 6.24/2.13
% 6.24/2.13 % (7814)Memory used [KB]: 5756
% 6.24/2.13 % (7814)Time elapsed: 0.047 s
% 6.24/2.13 % (7814)Instructions burned: 89 (million)
% 6.24/2.13 % (7814)------------------------------
% 6.24/2.13 % (7814)------------------------------
% 6.24/2.14 % (7818)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_7655 for (2993ds/41Mi)
% 6.24/2.14 % (7817)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_7655 for (2993ds/11Mi)
% 6.24/2.14 % (7815)Instruction limit reached!
% 6.24/2.14 % (7815)------------------------------
% 6.24/2.14 % (7815)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.14 % (7815)Termination reason: Unknown
% 6.24/2.14 % (7815)Termination phase: Saturation
% 6.24/2.14
% 6.24/2.14 % (7815)Memory used [KB]: 5756
% 6.24/2.14 % (7815)Time elapsed: 0.038 s
% 6.24/2.14 % (7815)Instructions burned: 72 (million)
% 6.24/2.14 % (7815)------------------------------
% 6.24/2.14 % (7815)------------------------------
% 6.24/2.14 % (7817)Instruction limit reached!
% 6.24/2.14 % (7817)------------------------------
% 6.24/2.14 % (7817)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.14 % (7817)Termination reason: Unknown
% 6.24/2.14 % (7817)Termination phase: Saturation
% 6.24/2.14
% 6.24/2.14 % (7817)Memory used [KB]: 5500
% 6.24/2.14 % (7817)Time elapsed: 0.008 s
% 6.24/2.14 % (7817)Instructions burned: 12 (million)
% 6.24/2.14 % (7817)------------------------------
% 6.24/2.14 % (7817)------------------------------
% 6.24/2.15 % (7816)Instruction limit reached!
% 6.24/2.15 % (7816)------------------------------
% 6.24/2.15 % (7816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.15 % (7816)Termination reason: Unknown
% 6.24/2.15 % (7816)Termination phase: Saturation
% 6.24/2.15
% 6.24/2.15 % (7816)Memory used [KB]: 5884
% 6.24/2.15 % (7816)Time elapsed: 0.066 s
% 6.24/2.15 % (7816)Instructions burned: 84 (million)
% 6.24/2.15 % (7816)------------------------------
% 6.24/2.15 % (7816)------------------------------
% 6.24/2.15 % (7819)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_7655 for (2993ds/6Mi)
% 6.24/2.15 % (7819)Instruction limit reached!
% 6.24/2.15 % (7819)------------------------------
% 6.24/2.15 % (7819)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.15 % (7819)Termination reason: Unknown
% 6.24/2.15 % (7819)Termination phase: Saturation
% 6.24/2.15
% 6.24/2.15 % (7819)Memory used [KB]: 5500
% 6.24/2.15 % (7819)Time elapsed: 0.005 s
% 6.24/2.15 % (7819)Instructions burned: 6 (million)
% 6.24/2.15 % (7819)------------------------------
% 6.24/2.15 % (7819)------------------------------
% 6.24/2.15 % (7820)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_7655 for (2993ds/150Mi)
% 6.24/2.16 % (7818)Instruction limit reached!
% 6.24/2.16 % (7818)------------------------------
% 6.24/2.16 % (7818)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.16 % (7818)Termination reason: Unknown
% 6.24/2.16 % (7818)Termination phase: Saturation
% 6.24/2.16
% 6.24/2.16 % (7818)Memory used [KB]: 5628
% 6.24/2.16 % (7818)Time elapsed: 0.045 s
% 6.24/2.16 % (7818)Instructions burned: 42 (million)
% 6.24/2.16 % (7818)------------------------------
% 6.24/2.16 % (7818)------------------------------
% 6.24/2.16 % (7821)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_7655 for (2993ds/343Mi)
% 6.24/2.16 % (7822)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_7655 for (2992ds/109Mi)
% 6.24/2.17 % (7823)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_7655 for (2992ds/253Mi)
% 6.24/2.17 % (7824)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_7655 for (2992ds/140Mi)
% 6.24/2.19 % (7803)Instruction limit reached!
% 6.24/2.19 % (7803)------------------------------
% 6.24/2.19 % (7803)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.24/2.19 % (7803)Termination reason: Unknown
% 6.24/2.19 % (7803)Termination phase: Saturation
% 6.24/2.19
% 6.24/2.19 % (7803)Memory used [KB]: 6396
% 6.24/2.19 % (7803)Time elapsed: 0.251 s
% 6.24/2.19 % (7803)Instructions burned: 508 (million)
% 6.24/2.19 % (7803)------------------------------
% 6.24/2.19 % (7803)------------------------------
% 6.57/2.21 % (7825)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_7655 for (2992ds/614Mi)
% 6.57/2.22 % (7822)Instruction limit reached!
% 6.57/2.22 % (7822)------------------------------
% 6.57/2.22 % (7822)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.57/2.22 % (7822)Termination reason: Unknown
% 6.57/2.22 % (7822)Termination phase: Saturation
% 6.57/2.22
% 6.57/2.22 % (7822)Memory used [KB]: 6012
% 6.57/2.22 % (7822)Time elapsed: 0.057 s
% 6.57/2.22 % (7822)Instructions burned: 110 (million)
% 6.57/2.22 % (7822)------------------------------
% 6.57/2.22 % (7822)------------------------------
% 6.57/2.23 % (7820)Instruction limit reached!
% 6.57/2.23 % (7820)------------------------------
% 6.57/2.23 % (7820)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.57/2.23 % (7820)Termination reason: Unknown
% 6.57/2.23 % (7820)Termination phase: Saturation
% 6.57/2.23
% 6.57/2.23 % (7820)Memory used [KB]: 6012
% 6.57/2.23 % (7820)Time elapsed: 0.098 s
% 6.57/2.23 % (7820)Instructions burned: 150 (million)
% 6.57/2.23 % (7820)------------------------------
% 6.57/2.23 % (7820)------------------------------
% 6.57/2.24 % (7826)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_7655 for (2992ds/202Mi)
% 6.57/2.24 % (7827)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_7655 for (2992ds/339Mi)
% 6.57/2.25 % (7810)Instruction limit reached!
% 6.57/2.25 % (7810)------------------------------
% 6.57/2.25 % (7810)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.57/2.25 % (7810)Termination reason: Unknown
% 6.57/2.25 % (7810)Termination phase: Saturation
% 6.57/2.25
% 6.57/2.25 % (7810)Memory used [KB]: 2942
% 6.57/2.25 % (7810)Time elapsed: 0.206 s
% 6.57/2.25 % (7810)Instructions burned: 432 (million)
% 6.57/2.25 % (7810)------------------------------
% 6.57/2.25 % (7810)------------------------------
% 6.57/2.25 % (7824)Instruction limit reached!
% 6.57/2.25 % (7824)------------------------------
% 6.57/2.25 % (7824)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.57/2.25 % (7824)Termination reason: Unknown
% 6.57/2.25 % (7824)Termination phase: Saturation
% 6.57/2.25
% 6.57/2.25 % (7824)Memory used [KB]: 6012
% 6.57/2.25 % (7824)Time elapsed: 0.077 s
% 6.57/2.25 % (7824)Instructions burned: 141 (million)
% 6.57/2.25 % (7824)------------------------------
% 6.57/2.25 % (7824)------------------------------
% 6.57/2.26 % (7828)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_7655 for (2991ds/283Mi)
% 6.57/2.27 % (7829)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_7655 for (2991ds/134Mi)
% 7.04/2.30 % (7823)Instruction limit reached!
% 7.04/2.30 % (7823)------------------------------
% 7.04/2.30 % (7823)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.04/2.30 % (7823)Termination reason: Unknown
% 7.04/2.30 % (7823)Termination phase: Saturation
% 7.04/2.30
% 7.04/2.30 % (7823)Memory used [KB]: 6268
% 7.04/2.30 % (7823)Time elapsed: 0.136 s
% 7.04/2.30 % (7823)Instructions burned: 253 (million)
% 7.04/2.30 % (7823)------------------------------
% 7.04/2.30 % (7823)------------------------------
% 7.04/2.32 % (7830)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_7655 for (2991ds/298Mi)
% 7.04/2.33 % (7829)Instruction limit reached!
% 7.04/2.33 % (7829)------------------------------
% 7.04/2.33 % (7829)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.04/2.33 % (7829)Termination reason: Unknown
% 7.04/2.33 % (7829)Termination phase: Saturation
% 7.04/2.33
% 7.04/2.33 % (7829)Memory used [KB]: 6012
% 7.04/2.33 % (7829)Time elapsed: 0.069 s
% 7.04/2.33 % (7829)Instructions burned: 135 (million)
% 7.04/2.33 % (7829)------------------------------
% 7.04/2.33 % (7829)------------------------------
% 7.04/2.33 % (7821)Instruction limit reached!
% 7.04/2.33 % (7821)------------------------------
% 7.04/2.33 % (7821)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.04/2.33 % (7821)Termination reason: Unknown
% 7.04/2.33 % (7821)Termination phase: Saturation
% 7.04/2.33
% 7.04/2.33 % (7821)Memory used [KB]: 6652
% 7.04/2.33 % (7821)Time elapsed: 0.199 s
% 7.04/2.33 % (7821)Instructions burned: 344 (million)
% 7.04/2.33 % (7821)------------------------------
% 7.04/2.33 % (7821)------------------------------
% 7.04/2.34 % (7826)Instruction limit reached!
% 7.04/2.34 % (7826)------------------------------
% 7.04/2.34 % (7826)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.04/2.34 % (7826)Termination reason: Unknown
% 7.04/2.34 % (7826)Termination phase: Saturation
% 7.04/2.34
% 7.04/2.34 % (7826)Memory used [KB]: 6012
% 7.04/2.34 % (7826)Time elapsed: 0.105 s
% 7.04/2.34 % (7826)Instructions burned: 202 (million)
% 7.04/2.34 % (7826)------------------------------
% 7.04/2.34 % (7826)------------------------------
% 7.04/2.35 % (7831)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_7655 for (2991ds/192Mi)
% 7.04/2.35 % (7832)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_7655 for (2991ds/258Mi)
% 7.04/2.36 % (7833)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_7655 for (2991ds/90Mi)
% 7.04/2.40 % (7828)Instruction limit reached!
% 7.04/2.40 % (7828)------------------------------
% 7.04/2.40 % (7828)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.04/2.40 % (7828)Termination reason: Unknown
% 7.04/2.40 % (7828)Termination phase: Saturation
% 7.04/2.40
% 7.04/2.40 % (7828)Memory used [KB]: 6780
% 7.04/2.40 % (7828)Time elapsed: 0.134 s
% 7.04/2.40 % (7828)Instructions burned: 284 (million)
% 7.04/2.40 % (7828)------------------------------
% 7.04/2.40 % (7828)------------------------------
% 7.59/2.40 % (7833)Instruction limit reached!
% 7.59/2.40 % (7833)------------------------------
% 7.59/2.40 % (7833)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.59/2.40 % (7833)Termination reason: Unknown
% 7.59/2.40 % (7833)Termination phase: Saturation
% 7.59/2.40
% 7.59/2.40 % (7833)Memory used [KB]: 5756
% 7.59/2.40 % (7833)Time elapsed: 0.047 s
% 7.59/2.40 % (7833)Instructions burned: 90 (million)
% 7.59/2.40 % (7833)------------------------------
% 7.59/2.40 % (7833)------------------------------
% 7.59/2.41 % (7834)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_7655 for (2990ds/231Mi)
% 7.59/2.41 % (7827)Instruction limit reached!
% 7.59/2.41 % (7827)------------------------------
% 7.59/2.41 % (7827)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.59/2.41 % (7827)Termination reason: Unknown
% 7.59/2.41 % (7827)Termination phase: Saturation
% 7.59/2.41
% 7.59/2.41 % (7827)Memory used [KB]: 6396
% 7.59/2.41 % (7827)Time elapsed: 0.172 s
% 7.59/2.41 % (7827)Instructions burned: 340 (million)
% 7.59/2.41 % (7827)------------------------------
% 7.59/2.41 % (7827)------------------------------
% 7.59/2.42 % (7835)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_7655 for (2990ds/458Mi)
% 7.59/2.43 % (7836)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_7655 for (2990ds/31Mi)
% 7.59/2.45 % (7831)Instruction limit reached!
% 7.59/2.45 % (7831)------------------------------
% 7.59/2.45 % (7831)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.59/2.45 % (7831)Termination reason: Unknown
% 7.59/2.45 % (7831)Termination phase: Saturation
% 7.59/2.45
% 7.59/2.45 % (7831)Memory used [KB]: 6140
% 7.59/2.45 % (7831)Time elapsed: 0.099 s
% 7.59/2.45 % (7831)Instructions burned: 193 (million)
% 7.59/2.45 % (7831)------------------------------
% 7.59/2.45 % (7831)------------------------------
% 7.59/2.45 % (7836)Instruction limit reached!
% 7.59/2.45 % (7836)------------------------------
% 7.59/2.45 % (7836)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.59/2.45 % (7836)Termination reason: Unknown
% 7.59/2.45 % (7836)Termination phase: Saturation
% 7.59/2.45
% 7.59/2.45 % (7836)Memory used [KB]: 5628
% 7.59/2.45 % (7836)Time elapsed: 0.019 s
% 7.59/2.45 % (7836)Instructions burned: 31 (million)
% 7.59/2.45 % (7836)------------------------------
% 7.59/2.45 % (7836)------------------------------
% 7.59/2.46 % (7837)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_7655 for (2990ds/297Mi)
% 7.59/2.46 % (7838)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_7655 for (2989ds/987Mi)
% 7.59/2.47 % (7830)Instruction limit reached!
% 7.59/2.47 % (7830)------------------------------
% 7.59/2.47 % (7830)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.59/2.47 % (7830)Termination reason: Unknown
% 7.59/2.47 % (7830)Termination phase: Saturation
% 7.59/2.47
% 7.59/2.47 % (7830)Memory used [KB]: 6140
% 7.59/2.47 % (7830)Time elapsed: 0.153 s
% 7.59/2.47 % (7830)Instructions burned: 299 (million)
% 7.59/2.47 % (7830)------------------------------
% 7.59/2.47 % (7830)------------------------------
% 7.59/2.48 % (7832)Instruction limit reached!
% 7.59/2.48 % (7832)------------------------------
% 7.59/2.48 % (7832)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.59/2.48 % (7832)Termination reason: Unknown
% 7.59/2.48 % (7832)Termination phase: Saturation
% 7.59/2.48
% 7.59/2.48 % (7832)Memory used [KB]: 6140
% 7.59/2.48 % (7832)Time elapsed: 0.132 s
% 7.59/2.48 % (7832)Instructions burned: 259 (million)
% 7.59/2.48 % (7832)------------------------------
% 7.59/2.48 % (7832)------------------------------
% 7.59/2.49 % (7839)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_7655 for (2989ds/182Mi)
% 8.45/2.50 % (7840)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_7655 for (2989ds/182Mi)
% 8.45/2.51 % (7825)Instruction limit reached!
% 8.45/2.51 % (7825)------------------------------
% 8.45/2.51 % (7825)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.45/2.51 % (7825)Termination reason: Unknown
% 8.45/2.51 % (7825)Termination phase: Saturation
% 8.45/2.51
% 8.45/2.51 % (7825)Memory used [KB]: 7164
% 8.45/2.51 % (7825)Time elapsed: 0.309 s
% 8.45/2.51 % (7825)Instructions burned: 615 (million)
% 8.45/2.51 % (7825)------------------------------
% 8.45/2.51 % (7825)------------------------------
% 8.45/2.53 % (7841)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_7655 for (2989ds/154Mi)
% 8.45/2.54 % (7834)Instruction limit reached!
% 8.45/2.54 % (7834)------------------------------
% 8.45/2.54 % (7834)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.45/2.54 % (7834)Termination reason: Unknown
% 8.45/2.54 % (7834)Termination phase: Saturation
% 8.45/2.54
% 8.45/2.54 % (7834)Memory used [KB]: 6652
% 8.45/2.54 % (7834)Time elapsed: 0.131 s
% 8.45/2.54 % (7834)Instructions burned: 231 (million)
% 8.45/2.54 % (7834)------------------------------
% 8.45/2.54 % (7834)------------------------------
% 8.45/2.56 % (7842)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_7655 for (2989ds/79Mi)
% 8.45/2.58 % (7839)Instruction limit reached!
% 8.45/2.58 % (7839)------------------------------
% 8.45/2.58 % (7839)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.45/2.58 % (7839)Termination reason: Unknown
% 8.45/2.58 % (7839)Termination phase: Saturation
% 8.45/2.58
% 8.45/2.58 % (7839)Memory used [KB]: 6268
% 8.45/2.58 % (7839)Time elapsed: 0.092 s
% 8.45/2.58 % (7839)Instructions burned: 182 (million)
% 8.45/2.58 % (7839)------------------------------
% 8.45/2.58 % (7839)------------------------------
% 8.45/2.59 % (7835)Refutation not found, incomplete strategy
% 8.45/2.59 % (7835)------------------------------
% 8.45/2.59 % (7835)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.45/2.59 % (7835)Termination reason: Refutation not found, incomplete strategy
% 8.45/2.59
% 8.45/2.59
% 8.45/2.59 % (7835)Memory used [KB]: 6396
% 8.45/2.59 % (7835)Time elapsed: 0.173 s
% 8.45/2.59 % (7835)Instructions burned: 345 (million)
% 8.45/2.59 % (7835)------------------------------
% 8.45/2.59 % (7835)------------------------------
% 8.45/2.59 % (7840)Instruction limit reached!
% 8.45/2.59 % (7840)------------------------------
% 8.45/2.59 % (7840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.45/2.59 % (7840)Termination reason: Unknown
% 8.45/2.59 % (7840)Termination phase: Saturation
% 8.45/2.59
% 8.45/2.59 % (7840)Memory used [KB]: 6140
% 8.45/2.59 % (7840)Time elapsed: 0.098 s
% 8.45/2.59 % (7840)Instructions burned: 183 (million)
% 8.45/2.59 % (7840)------------------------------
% 8.45/2.59 % (7840)------------------------------
% 8.45/2.59 % (7843)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_7655 for (2988ds/216Mi)
% 9.32/2.60 % (7842)Instruction limit reached!
% 9.32/2.60 % (7842)------------------------------
% 9.32/2.60 % (7842)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.32/2.60 % (7842)Termination reason: Unknown
% 9.32/2.60 % (7842)Termination phase: Saturation
% 9.32/2.60
% 9.32/2.60 % (7842)Memory used [KB]: 5756
% 9.32/2.60 % (7842)Time elapsed: 0.042 s
% 9.32/2.60 % (7842)Instructions burned: 79 (million)
% 9.32/2.60 % (7842)------------------------------
% 9.32/2.60 % (7842)------------------------------
% 9.32/2.61 % (7844)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_7655 for (2988ds/114Mi)
% 9.32/2.61 % (7837)Instruction limit reached!
% 9.32/2.61 % (7837)------------------------------
% 9.32/2.61 % (7837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.32/2.61 % (7837)Termination reason: Unknown
% 9.32/2.61 % (7837)Termination phase: Saturation
% 9.32/2.61
% 9.32/2.61 % (7837)Memory used [KB]: 6652
% 9.32/2.61 % (7837)Time elapsed: 0.146 s
% 9.32/2.61 % (7837)Instructions burned: 297 (million)
% 9.32/2.61 % (7837)------------------------------
% 9.32/2.61 % (7837)------------------------------
% 9.32/2.61 % (7841)Instruction limit reached!
% 9.32/2.61 % (7841)------------------------------
% 9.32/2.61 % (7841)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.32/2.61 % (7841)Termination reason: Unknown
% 9.32/2.61 % (7841)Termination phase: Saturation
% 9.32/2.61
% 9.32/2.61 % (7841)Memory used [KB]: 5884
% 9.32/2.61 % (7841)Time elapsed: 0.081 s
% 9.32/2.61 % (7841)Instructions burned: 155 (million)
% 9.32/2.61 % (7841)------------------------------
% 9.32/2.61 % (7841)------------------------------
% 9.32/2.61 % (7845)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_7655 for (2988ds/922Mi)
% 9.32/2.61 % (7846)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_7655 for (2988ds/182Mi)
% 9.32/2.62 % (7847)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_7655 for (2988ds/164Mi)
% 9.32/2.63 % (7848)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_7655 for (2988ds/50Mi)
% 9.32/2.65 % (7848)Instruction limit reached!
% 9.32/2.65 % (7848)------------------------------
% 9.32/2.65 % (7848)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.32/2.65 % (7848)Termination reason: Unknown
% 9.32/2.65 % (7848)Termination phase: Saturation
% 9.32/2.65
% 9.32/2.65 % (7848)Memory used [KB]: 10362
% 9.32/2.65 % (7848)Time elapsed: 0.026 s
% 9.32/2.65 % (7848)Instructions burned: 50 (million)
% 9.32/2.65 % (7848)------------------------------
% 9.32/2.65 % (7848)------------------------------
% 9.32/2.67 % (7844)Instruction limit reached!
% 9.32/2.67 % (7844)------------------------------
% 9.32/2.67 % (7844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.32/2.67 % (7844)Termination reason: Unknown
% 9.32/2.67 % (7844)Termination phase: Saturation
% 9.32/2.67
% 9.32/2.67 % (7844)Memory used [KB]: 5884
% 9.32/2.67 % (7844)Time elapsed: 0.060 s
% 9.32/2.67 % (7844)Instructions burned: 115 (million)
% 9.32/2.67 % (7844)------------------------------
% 9.32/2.67 % (7844)------------------------------
% 9.32/2.67 % (7849)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_7655 for (2988ds/368Mi)
% 9.32/2.68 % (7850)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_7655 for (2987ds/1021Mi)
% 9.75/2.70 % (7843)Instruction limit reached!
% 9.75/2.70 % (7843)------------------------------
% 9.75/2.70 % (7843)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.75/2.70 % (7843)Termination reason: Unknown
% 9.75/2.70 % (7843)Termination phase: Saturation
% 9.75/2.70
% 9.75/2.70 % (7843)Memory used [KB]: 5756
% 9.75/2.70 % (7843)Time elapsed: 0.106 s
% 9.75/2.70 % (7843)Instructions burned: 216 (million)
% 9.75/2.70 % (7843)------------------------------
% 9.75/2.70 % (7843)------------------------------
% 9.75/2.70 % (7846)Instruction limit reached!
% 9.75/2.70 % (7846)------------------------------
% 9.75/2.70 % (7846)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.75/2.70 % (7846)Termination reason: Unknown
% 9.75/2.70 % (7846)Termination phase: Saturation
% 9.75/2.70
% 9.75/2.70 % (7846)Memory used [KB]: 5884
% 9.75/2.70 % (7846)Time elapsed: 0.092 s
% 9.75/2.70 % (7846)Instructions burned: 183 (million)
% 9.75/2.70 % (7846)------------------------------
% 9.75/2.70 % (7846)------------------------------
% 9.75/2.71 % (7847)Instruction limit reached!
% 9.75/2.71 % (7847)------------------------------
% 9.75/2.71 % (7847)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.75/2.71 % (7847)Termination reason: Unknown
% 9.75/2.71 % (7847)Termination phase: Saturation
% 9.75/2.71
% 9.75/2.71 % (7847)Memory used [KB]: 1407
% 9.75/2.71 % (7847)Time elapsed: 0.085 s
% 9.75/2.71 % (7847)Instructions burned: 165 (million)
% 9.75/2.71 % (7847)------------------------------
% 9.75/2.71 % (7847)------------------------------
% 9.75/2.72 % (7851)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_7655 for (2987ds/267Mi)
% 9.75/2.72 % (7852)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_7655 for (2987ds/204Mi)
% 9.75/2.72 % (7853)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_7655 for (2987ds/26Mi)
% 9.75/2.74 % (7853)Instruction limit reached!
% 9.75/2.74 % (7853)------------------------------
% 9.75/2.74 % (7853)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.75/2.74 % (7853)Termination reason: Unknown
% 9.75/2.74 % (7853)Termination phase: Saturation
% 9.75/2.74
% 9.75/2.74 % (7853)Memory used [KB]: 5628
% 9.75/2.74 % (7853)Time elapsed: 0.015 s
% 9.75/2.74 % (7853)Instructions burned: 26 (million)
% 9.75/2.74 % (7853)------------------------------
% 9.75/2.74 % (7853)------------------------------
% 9.75/2.75 % (7854)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_7655 for (2987ds/53Mi)
% 9.75/2.77 % (7845)Refutation not found, incomplete strategy
% 9.75/2.77 % (7845)------------------------------
% 9.75/2.77 % (7845)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.75/2.77 % (7845)Termination reason: Refutation not found, incomplete strategy
% 9.75/2.77
% 9.75/2.77
% 9.75/2.77 % (7845)Memory used [KB]: 6396
% 9.75/2.77 % (7845)Time elapsed: 0.161 s
% 9.75/2.77 % (7845)Instructions burned: 327 (million)
% 9.75/2.77 % (7845)------------------------------
% 9.75/2.77 % (7845)------------------------------
% 9.75/2.78 % (7854)Instruction limit reached!
% 9.75/2.78 % (7854)------------------------------
% 9.75/2.78 % (7854)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.75/2.78 % (7854)Termination reason: Unknown
% 9.75/2.78 % (7854)Termination phase: Saturation
% 9.75/2.78
% 9.75/2.78 % (7854)Memory used [KB]: 5628
% 9.75/2.78 % (7854)Time elapsed: 0.028 s
% 9.75/2.78 % (7854)Instructions burned: 54 (million)
% 9.75/2.78 % (7854)------------------------------
% 9.75/2.78 % (7854)------------------------------
% 9.75/2.79 % (7855)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_7655 for (2986ds/4436Mi)
% 9.75/2.80 % (7856)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_7655 for (2986ds/1539Mi)
% 10.33/2.83 % (7852)Instruction limit reached!
% 10.33/2.83 % (7852)------------------------------
% 10.33/2.83 % (7852)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.33/2.83 % (7852)Termination reason: Unknown
% 10.33/2.83 % (7852)Termination phase: Saturation
% 10.33/2.83
% 10.33/2.83 % (7852)Memory used [KB]: 6140
% 10.33/2.83 % (7852)Time elapsed: 0.108 s
% 10.33/2.83 % (7852)Instructions burned: 204 (million)
% 10.33/2.83 % (7852)------------------------------
% 10.33/2.83 % (7852)------------------------------
% 10.33/2.83 % (7855)Refutation not found, incomplete strategy
% 10.33/2.83 % (7855)------------------------------
% 10.33/2.83 % (7855)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.33/2.83 % (7855)Termination reason: Refutation not found, incomplete strategy
% 10.33/2.83
% 10.33/2.83
% 10.33/2.83 % (7855)Memory used [KB]: 5884
% 10.33/2.83 % (7855)Time elapsed: 0.047 s
% 10.33/2.83 % (7855)Instructions burned: 86 (million)
% 10.33/2.83 % (7855)------------------------------
% 10.33/2.83 % (7855)------------------------------
% 10.33/2.84 % (7857)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_7655 for (2986ds/408Mi)
% 10.33/2.85 % (7851)Instruction limit reached!
% 10.33/2.85 % (7851)------------------------------
% 10.33/2.85 % (7851)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.33/2.85 % (7851)Termination reason: Unknown
% 10.33/2.85 % (7851)Termination phase: Saturation
% 10.33/2.85
% 10.33/2.85 % (7851)Memory used [KB]: 6524
% 10.33/2.85 % (7851)Time elapsed: 0.136 s
% 10.33/2.85 % (7851)Instructions burned: 267 (million)
% 10.33/2.85 % (7851)------------------------------
% 10.33/2.85 % (7851)------------------------------
% 10.33/2.85 % (7858)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_7655 for (2986ds/5205Mi)
% 10.33/2.85 % (7849)Instruction limit reached!
% 10.33/2.85 % (7849)------------------------------
% 10.33/2.85 % (7849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.33/2.85 % (7849)Termination reason: Unknown
% 10.33/2.85 % (7849)Termination phase: Saturation
% 10.33/2.85
% 10.33/2.85 % (7849)Memory used [KB]: 7036
% 10.33/2.85 % (7849)Time elapsed: 0.189 s
% 10.33/2.85 % (7849)Instructions burned: 368 (million)
% 10.33/2.85 % (7849)------------------------------
% 10.33/2.85 % (7849)------------------------------
% 10.33/2.87 % (7859)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_7655 for (2986ds/1913Mi)
% 10.33/2.87 % (7860)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_7655 for (2986ds/4350Mi)
% 10.88/2.94 % (7838)Instruction limit reached!
% 10.88/2.94 % (7838)------------------------------
% 10.88/2.94 % (7838)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.88/2.94 % (7838)Termination reason: Unknown
% 10.88/2.94 % (7838)Termination phase: Saturation
% 10.88/2.94
% 10.88/2.94 % (7838)Memory used [KB]: 7547
% 10.88/2.94 % (7838)Time elapsed: 0.482 s
% 10.88/2.94 % (7838)Instructions burned: 987 (million)
% 10.88/2.94 % (7838)------------------------------
% 10.88/2.94 % (7838)------------------------------
% 10.88/2.96 % (7861)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_7655 for (2985ds/68Mi)
% 10.88/3.00 % (7861)Instruction limit reached!
% 10.88/3.00 % (7861)------------------------------
% 10.88/3.00 % (7861)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.88/3.00 % (7861)Termination reason: Unknown
% 10.88/3.00 % (7861)Termination phase: Saturation
% 10.88/3.00
% 10.88/3.00 % (7861)Memory used [KB]: 5756
% 10.88/3.00 % (7861)Time elapsed: 0.058 s
% 10.88/3.00 % (7861)Instructions burned: 68 (million)
% 10.88/3.00 % (7861)------------------------------
% 10.88/3.00 % (7861)------------------------------
% 10.88/3.01 % (7862)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_7655 for (2984ds/358Mi)
% 12.70/3.05 % (7857)Instruction limit reached!
% 12.70/3.05 % (7857)------------------------------
% 12.70/3.05 % (7857)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.70/3.05 % (7857)Termination reason: Unknown
% 12.70/3.05 % (7857)Termination phase: Saturation
% 12.70/3.05
% 12.70/3.05 % (7857)Memory used [KB]: 6652
% 12.70/3.05 % (7857)Time elapsed: 0.208 s
% 12.70/3.05 % (7857)Instructions burned: 409 (million)
% 12.70/3.05 % (7857)------------------------------
% 12.70/3.05 % (7857)------------------------------
% 12.70/3.07 % (7863)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_7655 for (2984ds/31Mi)
% 12.70/3.08 % (7863)Instruction limit reached!
% 12.70/3.08 % (7863)------------------------------
% 12.70/3.08 % (7863)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.70/3.08 % (7863)Termination reason: Unknown
% 12.70/3.08 % (7863)Termination phase: Saturation
% 12.70/3.08
% 12.70/3.08 % (7863)Memory used [KB]: 5628
% 12.70/3.08 % (7863)Time elapsed: 0.040 s
% 12.70/3.08 % (7863)Instructions burned: 31 (million)
% 12.70/3.08 % (7863)------------------------------
% 12.70/3.08 % (7863)------------------------------
% 12.70/3.10 % (7864)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_7655 for (2983ds/279Mi)
% 13.30/3.18 % (7850)Instruction limit reached!
% 13.30/3.18 % (7850)------------------------------
% 13.30/3.18 % (7850)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.30/3.18 % (7850)Termination reason: Unknown
% 13.30/3.18 % (7850)Termination phase: Saturation
% 13.30/3.18
% 13.30/3.18 % (7850)Memory used [KB]: 6908
% 13.30/3.18 % (7850)Time elapsed: 0.505 s
% 13.30/3.18 % (7850)Instructions burned: 1021 (million)
% 13.30/3.18 % (7850)------------------------------
% 13.30/3.18 % (7850)------------------------------
% 13.30/3.19 % (7862)Instruction limit reached!
% 13.30/3.19 % (7862)------------------------------
% 13.30/3.19 % (7862)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.30/3.19 % (7862)Termination reason: Unknown
% 13.30/3.19 % (7862)Termination phase: Saturation
% 13.30/3.19
% 13.30/3.19 % (7862)Memory used [KB]: 6524
% 13.30/3.19 % (7862)Time elapsed: 0.204 s
% 13.30/3.19 % (7862)Instructions burned: 358 (million)
% 13.30/3.19 % (7862)------------------------------
% 13.30/3.19 % (7862)------------------------------
% 13.84/3.20 % (7865)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_7655 for (2982ds/258Mi)
% 13.84/3.21 % (7866)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_7655 for (2982ds/26Mi)
% 13.84/3.23 % (7866)Instruction limit reached!
% 13.84/3.23 % (7866)------------------------------
% 13.84/3.23 % (7866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.84/3.23 % (7866)Termination reason: Unknown
% 13.84/3.23 % (7866)Termination phase: Saturation
% 13.84/3.23
% 13.84/3.23 % (7866)Memory used [KB]: 5628
% 13.84/3.23 % (7866)Time elapsed: 0.040 s
% 13.84/3.23 % (7866)Instructions burned: 27 (million)
% 13.84/3.23 % (7866)------------------------------
% 13.84/3.23 % (7866)------------------------------
% 13.84/3.24 % (7864)Instruction limit reached!
% 13.84/3.24 % (7864)------------------------------
% 13.84/3.24 % (7864)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.84/3.24 % (7864)Termination reason: Unknown
% 13.84/3.24 % (7864)Termination phase: Saturation
% 13.84/3.24
% 13.84/3.24 % (7864)Memory used [KB]: 6012
% 13.84/3.24 % (7864)Time elapsed: 0.162 s
% 13.84/3.24 % (7864)Instructions burned: 279 (million)
% 13.84/3.24 % (7864)------------------------------
% 13.84/3.24 % (7864)------------------------------
% 13.84/3.24 % (7867)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_7655 for (2982ds/995Mi)
% 13.84/3.25 % (7868)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_7655 for (2982ds/373Mi)
% 14.42/3.33 % (7865)Instruction limit reached!
% 14.42/3.33 % (7865)------------------------------
% 14.42/3.33 % (7865)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.42/3.33 % (7867)Refutation not found, incomplete strategy
% 14.42/3.33 % (7867)------------------------------
% 14.42/3.33 % (7867)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.42/3.33 % (7867)Termination reason: Refutation not found, incomplete strategy
% 14.42/3.33
% 14.42/3.33
% 14.42/3.33 % (7867)Memory used [KB]: 6012
% 14.42/3.33 % (7867)Time elapsed: 0.116 s
% 14.42/3.33 % (7867)Instructions burned: 197 (million)
% 14.42/3.33 % (7867)------------------------------
% 14.42/3.33 % (7867)------------------------------
% 14.42/3.33 % (7865)Termination reason: Unknown
% 14.42/3.33 % (7865)Termination phase: Saturation
% 14.42/3.33
% 14.42/3.33 % (7865)Memory used [KB]: 6268
% 14.42/3.33 % (7865)Time elapsed: 0.156 s
% 14.42/3.33 % (7865)Instructions burned: 259 (million)
% 14.42/3.33 % (7865)------------------------------
% 14.42/3.33 % (7865)------------------------------
% 14.42/3.35 % (7870)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_7655 for (2981ds/832Mi)
% 14.42/3.35 % (7869)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_7655 for (2981ds/253Mi)
% 15.08/3.44 % (7868)Instruction limit reached!
% 15.08/3.44 % (7868)------------------------------
% 15.08/3.44 % (7868)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.08/3.44 % (7868)Termination reason: Unknown
% 15.08/3.44 % (7868)Termination phase: Saturation
% 15.08/3.44
% 15.08/3.44 % (7868)Memory used [KB]: 6268
% 15.08/3.44 % (7868)Time elapsed: 0.213 s
% 15.08/3.44 % (7868)Instructions burned: 374 (million)
% 15.08/3.44 % (7868)------------------------------
% 15.08/3.44 % (7868)------------------------------
% 15.08/3.46 % (7871)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_7655 for (2980ds/668Mi)
% 15.08/3.46 % (7870)Refutation not found, incomplete strategy
% 15.08/3.46 % (7870)------------------------------
% 15.08/3.46 % (7870)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.08/3.46 % (7870)Termination reason: Refutation not found, incomplete strategy
% 15.08/3.46
% 15.08/3.46
% 15.08/3.46 % (7870)Memory used [KB]: 6140
% 15.08/3.46 % (7870)Time elapsed: 0.113 s
% 15.08/3.46 % (7870)Instructions burned: 224 (million)
% 15.08/3.46 % (7870)------------------------------
% 15.08/3.46 % (7870)------------------------------
% 15.08/3.48 % (7872)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_7655 for (2979ds/40Mi)
% 15.08/3.48 % (7869)Instruction limit reached!
% 15.08/3.48 % (7869)------------------------------
% 15.08/3.48 % (7869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.08/3.48 % (7869)Termination reason: Unknown
% 15.08/3.48 % (7869)Termination phase: Saturation
% 15.08/3.48
% 15.08/3.48 % (7869)Memory used [KB]: 6140
% 15.08/3.48 % (7869)Time elapsed: 0.133 s
% 15.08/3.48 % (7869)Instructions burned: 254 (million)
% 15.08/3.48 % (7869)------------------------------
% 15.08/3.48 % (7869)------------------------------
% 15.96/3.50 % (7873)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_7655 for (2979ds/294Mi)
% 15.96/3.50 % (7872)Instruction limit reached!
% 15.96/3.50 % (7872)------------------------------
% 15.96/3.50 % (7872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.96/3.50 % (7872)Termination reason: Unknown
% 15.96/3.50 % (7872)Termination phase: Saturation
% 15.96/3.50
% 15.96/3.50 % (7872)Memory used [KB]: 5756
% 15.96/3.50 % (7872)Time elapsed: 0.022 s
% 15.96/3.50 % (7872)Instructions burned: 41 (million)
% 15.96/3.50 % (7872)------------------------------
% 15.96/3.50 % (7872)------------------------------
% 15.96/3.51 % (7874)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_7655 for (2979ds/187Mi)
% 15.96/3.55 % (7856)Instruction limit reached!
% 15.96/3.55 % (7856)------------------------------
% 15.96/3.55 % (7856)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.96/3.55 % (7856)Termination reason: Unknown
% 15.96/3.55 % (7856)Termination phase: Saturation
% 15.96/3.55
% 15.96/3.55 % (7856)Memory used [KB]: 7547
% 15.96/3.55 % (7856)Time elapsed: 0.753 s
% 15.96/3.55 % (7856)Instructions burned: 1540 (million)
% 15.96/3.55 % (7856)------------------------------
% 15.96/3.55 % (7856)------------------------------
% 15.96/3.56 % (7875)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_7655 for (2979ds/371Mi)
% 16.35/3.61 % (7874)Instruction limit reached!
% 16.35/3.61 % (7874)------------------------------
% 16.35/3.61 % (7874)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.35/3.61 % (7874)Termination reason: Unknown
% 16.35/3.61 % (7874)Termination phase: Saturation
% 16.35/3.61
% 16.35/3.61 % (7874)Memory used [KB]: 6396
% 16.35/3.61 % (7874)Time elapsed: 0.096 s
% 16.35/3.61 % (7874)Instructions burned: 187 (million)
% 16.35/3.61 % (7874)------------------------------
% 16.35/3.61 % (7874)------------------------------
% 16.35/3.63 % (7876)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_7655 for (2978ds/1827Mi)
% 16.35/3.64 % (7873)Instruction limit reached!
% 16.35/3.64 % (7873)------------------------------
% 16.35/3.64 % (7873)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.35/3.64 % (7873)Termination reason: Unknown
% 16.35/3.64 % (7873)Termination phase: Saturation
% 16.35/3.64
% 16.35/3.64 % (7873)Memory used [KB]: 6140
% 16.35/3.64 % (7873)Time elapsed: 0.143 s
% 16.35/3.64 % (7873)Instructions burned: 294 (million)
% 16.35/3.64 % (7873)------------------------------
% 16.35/3.64 % (7873)------------------------------
% 16.35/3.66 % (7877)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_7655 for (2978ds/70Mi)
% 16.35/3.69 % (7877)Instruction limit reached!
% 16.35/3.69 % (7877)------------------------------
% 16.35/3.69 % (7877)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.35/3.69 % (7877)Termination reason: Unknown
% 16.35/3.69 % (7877)Termination phase: Saturation
% 16.35/3.69
% 16.35/3.69 % (7877)Memory used [KB]: 1279
% 16.35/3.69 % (7877)Time elapsed: 0.036 s
% 16.35/3.69 % (7877)Instructions burned: 70 (million)
% 16.35/3.69 % (7877)------------------------------
% 16.35/3.69 % (7877)------------------------------
% 16.97/3.71 % (7878)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_7655 for (2977ds/316Mi)
% 16.97/3.73 % (7859)Instruction limit reached!
% 16.97/3.73 % (7859)------------------------------
% 16.97/3.73 % (7859)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.97/3.73 % (7859)Termination reason: Unknown
% 16.97/3.73 % (7859)Termination phase: Saturation
% 16.97/3.73
% 16.97/3.73 % (7859)Memory used [KB]: 3070
% 16.97/3.73 % (7859)Time elapsed: 0.867 s
% 16.97/3.73 % (7859)Instructions burned: 1914 (million)
% 16.97/3.73 % (7859)------------------------------
% 16.97/3.73 % (7859)------------------------------
% 16.97/3.75 % (7879)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_7655 for (2977ds/932Mi)
% 16.97/3.76 % (7875)Instruction limit reached!
% 16.97/3.76 % (7875)------------------------------
% 16.97/3.76 % (7875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.97/3.76 % (7875)Termination reason: Unknown
% 16.97/3.76 % (7875)Termination phase: Saturation
% 16.97/3.76
% 16.97/3.76 % (7875)Memory used [KB]: 6780
% 16.97/3.76 % (7875)Time elapsed: 0.194 s
% 16.97/3.76 % (7875)Instructions burned: 371 (million)
% 16.97/3.76 % (7875)------------------------------
% 16.97/3.76 % (7875)------------------------------
% 16.97/3.77 % (7880)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_7655 for (2976ds/4714Mi)
% 16.97/3.79 % (7871)Instruction limit reached!
% 16.97/3.79 % (7871)------------------------------
% 16.97/3.79 % (7871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.97/3.79 % (7871)Termination reason: Unknown
% 16.97/3.79 % (7871)Termination phase: Saturation
% 16.97/3.79
% 16.97/3.79 % (7871)Memory used [KB]: 11385
% 16.97/3.79 % (7871)Time elapsed: 0.334 s
% 16.97/3.79 % (7871)Instructions burned: 668 (million)
% 16.97/3.79 % (7871)------------------------------
% 16.97/3.79 % (7871)------------------------------
% 17.76/3.81 % (7881)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_7655 for (2976ds/8250Mi)
% 17.76/3.86 % (7878)Instruction limit reached!
% 17.76/3.86 % (7878)------------------------------
% 17.76/3.86 % (7878)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.76/3.86 % (7878)Termination reason: Unknown
% 17.76/3.86 % (7878)Termination phase: Saturation
% 17.76/3.86
% 17.76/3.86 % (7878)Memory used [KB]: 6268
% 17.76/3.86 % (7878)Time elapsed: 0.155 s
% 17.76/3.86 % (7878)Instructions burned: 317 (million)
% 17.76/3.86 % (7878)------------------------------
% 17.76/3.86 % (7878)------------------------------
% 17.76/3.88 % (7882)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_7655 for (2975ds/770Mi)
% 18.13/3.99 % (7880)Refutation not found, incomplete strategy
% 18.13/3.99 % (7880)------------------------------
% 18.13/3.99 % (7880)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.13/3.99 % (7880)Termination reason: Refutation not found, incomplete strategy
% 18.13/3.99
% 18.13/3.99
% 18.13/3.99 % (7880)Memory used [KB]: 6396
% 18.13/3.99 % (7880)Time elapsed: 0.216 s
% 18.13/3.99 % (7880)Instructions burned: 430 (million)
% 18.13/3.99 % (7880)------------------------------
% 18.13/3.99 % (7880)------------------------------
% 18.13/4.00 % (7883)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_7655 for (2974ds/794Mi)
% 20.44/4.18 % (7879)Instruction limit reached!
% 20.44/4.18 % (7879)------------------------------
% 20.44/4.18 % (7879)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.44/4.18 % (7879)Termination reason: Unknown
% 20.44/4.18 % (7879)Termination phase: Saturation
% 20.44/4.18
% 20.44/4.18 % (7879)Memory used [KB]: 8443
% 20.44/4.18 % (7879)Time elapsed: 0.436 s
% 20.44/4.18 % (7879)Instructions burned: 932 (million)
% 20.44/4.18 % (7879)------------------------------
% 20.44/4.18 % (7879)------------------------------
% 20.92/4.20 % (7884)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_7655 for (2972ds/464Mi)
% 20.92/4.26 % (7882)Instruction limit reached!
% 20.92/4.26 % (7882)------------------------------
% 20.92/4.26 % (7882)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.92/4.26 % (7882)Termination reason: Unknown
% 20.92/4.26 % (7882)Termination phase: Saturation
% 20.92/4.26
% 20.92/4.26 % (7882)Memory used [KB]: 6908
% 20.92/4.26 % (7882)Time elapsed: 0.386 s
% 20.92/4.26 % (7882)Instructions burned: 771 (million)
% 20.92/4.26 % (7882)------------------------------
% 20.92/4.26 % (7882)------------------------------
% 20.92/4.28 % (7885)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_7655 for (2971ds/1376Mi)
% 21.49/4.31 % (7884)Refutation not found, incomplete strategy
% 21.49/4.31 % (7884)------------------------------
% 21.49/4.31 % (7884)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.49/4.31 % (7884)Termination reason: Refutation not found, incomplete strategy
% 21.49/4.31
% 21.49/4.31
% 21.49/4.31 % (7884)Memory used [KB]: 6140
% 21.49/4.31 % (7884)Time elapsed: 0.115 s
% 21.49/4.31 % (7884)Instructions burned: 220 (million)
% 21.49/4.31 % (7884)------------------------------
% 21.49/4.31 % (7884)------------------------------
% 21.49/4.33 % (7886)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_7655 for (2971ds/906Mi)
% 21.49/4.40 % (7883)Instruction limit reached!
% 21.49/4.40 % (7883)------------------------------
% 21.49/4.40 % (7883)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.49/4.40 % (7883)Termination reason: Unknown
% 21.49/4.40 % (7883)Termination phase: Saturation
% 21.49/4.40
% 21.49/4.40 % (7883)Memory used [KB]: 2686
% 21.49/4.40 % (7883)Time elapsed: 0.394 s
% 21.49/4.40 % (7883)Instructions burned: 794 (million)
% 21.49/4.40 % (7883)------------------------------
% 21.49/4.40 % (7883)------------------------------
% 21.73/4.41 % (7887)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_7655 for (2970ds/434Mi)
% 22.53/4.54 % (7876)Instruction limit reached!
% 22.53/4.54 % (7876)------------------------------
% 22.53/4.54 % (7876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.53/4.54 % (7876)Termination reason: Unknown
% 22.53/4.54 % (7876)Termination phase: Saturation
% 22.53/4.54
% 22.53/4.54 % (7876)Memory used [KB]: 8059
% 22.53/4.54 % (7876)Time elapsed: 0.914 s
% 22.53/4.54 % (7876)Instructions burned: 1828 (million)
% 22.53/4.54 % (7876)------------------------------
% 22.53/4.54 % (7876)------------------------------
% 22.53/4.56 % (7888)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_7655 for (2969ds/865Mi)
% 22.88/4.63 % (7887)Instruction limit reached!
% 22.88/4.63 % (7887)------------------------------
% 22.88/4.63 % (7887)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.88/4.63 % (7887)Termination reason: Unknown
% 22.88/4.63 % (7887)Termination phase: Saturation
% 22.88/4.63
% 22.88/4.63 % (7887)Memory used [KB]: 6524
% 22.88/4.63 % (7887)Time elapsed: 0.222 s
% 22.88/4.63 % (7887)Instructions burned: 434 (million)
% 22.88/4.63 % (7887)------------------------------
% 22.88/4.63 % (7887)------------------------------
% 22.88/4.65 % (7889)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_7655 for (2968ds/593Mi)
% 23.42/4.80 % (7886)Instruction limit reached!
% 23.42/4.80 % (7886)------------------------------
% 23.42/4.80 % (7886)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.42/4.80 % (7886)Termination reason: Unknown
% 23.42/4.80 % (7886)Termination phase: Saturation
% 23.42/4.80
% 23.42/4.80 % (7886)Memory used [KB]: 7803
% 23.42/4.80 % (7886)Time elapsed: 0.469 s
% 23.42/4.80 % (7886)Instructions burned: 907 (million)
% 23.42/4.80 % (7886)------------------------------
% 23.42/4.80 % (7886)------------------------------
% 23.71/4.81 % (7890)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_7655 for (2966ds/443Mi)
% 24.49/4.93 % (7885)Instruction limit reached!
% 24.49/4.93 % (7885)------------------------------
% 24.49/4.93 % (7885)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.49/4.93 % (7885)Termination reason: Unknown
% 24.49/4.93 % (7885)Termination phase: Saturation
% 24.49/4.93
% 24.49/4.93 % (7885)Memory used [KB]: 12665
% 24.49/4.93 % (7885)Time elapsed: 0.654 s
% 24.49/4.93 % (7885)Instructions burned: 1377 (million)
% 24.49/4.93 % (7885)------------------------------
% 24.49/4.93 % (7885)------------------------------
% 24.49/4.95 % (7891)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_7655 for (2965ds/594Mi)
% 24.49/4.95 % (7889)Instruction limit reached!
% 24.49/4.95 % (7889)------------------------------
% 24.49/4.95 % (7889)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.49/4.95 % (7889)Termination reason: Unknown
% 24.49/4.95 % (7889)Termination phase: Saturation
% 24.49/4.95
% 24.49/4.95 % (7889)Memory used [KB]: 6524
% 24.49/4.95 % (7889)Time elapsed: 0.300 s
% 24.49/4.95 % (7889)Instructions burned: 593 (million)
% 24.49/4.95 % (7889)------------------------------
% 24.49/4.95 % (7889)------------------------------
% 24.49/4.97 % (7892)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_7655 for (2965ds/327Mi)
% 24.49/4.98 % (7888)Instruction limit reached!
% 24.49/4.98 % (7888)------------------------------
% 24.49/4.98 % (7888)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.49/4.98 % (7888)Termination reason: Unknown
% 24.49/4.98 % (7888)Termination phase: Saturation
% 24.49/4.98
% 24.49/4.98 % (7888)Memory used [KB]: 7164
% 24.49/4.98 % (7888)Time elapsed: 0.426 s
% 24.49/4.98 % (7888)Instructions burned: 866 (million)
% 24.49/4.98 % (7888)------------------------------
% 24.49/4.98 % (7888)------------------------------
% 24.49/4.99 % (7860)Instruction limit reached!
% 24.49/4.99 % (7860)------------------------------
% 24.49/4.99 % (7860)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.49/4.99 % (7860)Termination reason: Unknown
% 24.49/4.99 % (7860)Termination phase: Saturation
% 24.49/4.99
% 24.49/4.99 % (7860)Memory used [KB]: 11001
% 24.49/4.99 % (7860)Time elapsed: 2.145 s
% 24.49/4.99 % (7860)Instructions burned: 4350 (million)
% 24.49/4.99 % (7860)------------------------------
% 24.49/4.99 % (7860)------------------------------
% 24.49/5.00 % (7893)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_7655 for (2964ds/5411Mi)
% 24.49/5.01 % (7894)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_7655 for (2964ds/1762Mi)
% 26.72/5.04 % (7890)Instruction limit reached!
% 26.72/5.04 % (7890)------------------------------
% 26.72/5.04 % (7890)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.72/5.04 % (7890)Termination reason: Unknown
% 26.72/5.04 % (7890)Termination phase: Saturation
% 26.72/5.04
% 26.72/5.04 % (7890)Memory used [KB]: 6396
% 26.72/5.04 % (7890)Time elapsed: 0.224 s
% 26.72/5.04 % (7890)Instructions burned: 444 (million)
% 26.72/5.04 % (7890)------------------------------
% 26.72/5.04 % (7890)------------------------------
% 26.72/5.05 % (7895)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_7655 for (2964ds/96Mi)
% 26.72/5.07 % (7858)Instruction limit reached!
% 26.72/5.07 % (7858)------------------------------
% 26.72/5.07 % (7858)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.72/5.07 % (7858)Termination reason: Unknown
% 26.72/5.07 % (7858)Termination phase: Saturation
% 26.72/5.07
% 26.72/5.07 % (7858)Memory used [KB]: 10362
% 26.72/5.07 % (7858)Time elapsed: 2.224 s
% 26.72/5.07 % (7858)Instructions burned: 5206 (million)
% 26.72/5.07 % (7858)------------------------------
% 26.72/5.07 % (7858)------------------------------
% 26.72/5.09 % (7896)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_7655 for (2963ds/503Mi)
% 26.72/5.10 % (7895)Instruction limit reached!
% 26.72/5.10 % (7895)------------------------------
% 26.72/5.10 % (7895)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.72/5.10 % (7895)Termination reason: Unknown
% 26.72/5.10 % (7895)Termination phase: Saturation
% 26.72/5.10
% 26.72/5.10 % (7895)Memory used [KB]: 5884
% 26.72/5.10 % (7895)Time elapsed: 0.050 s
% 26.72/5.10 % (7895)Instructions burned: 96 (million)
% 26.72/5.10 % (7895)------------------------------
% 26.72/5.10 % (7895)------------------------------
% 26.72/5.12 % (7897)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_7655 for (2963ds/90Mi)
% 26.72/5.12 % (7892)Instruction limit reached!
% 26.72/5.12 % (7892)------------------------------
% 26.72/5.12 % (7892)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.72/5.12 % (7892)Termination reason: Unknown
% 26.72/5.12 % (7892)Termination phase: Saturation
% 26.72/5.12
% 26.72/5.12 % (7892)Memory used [KB]: 6524
% 26.72/5.12 % (7892)Time elapsed: 0.161 s
% 26.72/5.12 % (7892)Instructions burned: 327 (million)
% 26.72/5.12 % (7892)------------------------------
% 26.72/5.12 % (7892)------------------------------
% 27.38/5.14 % (7893)Refutation not found, incomplete strategy
% 27.38/5.14 % (7893)------------------------------
% 27.38/5.14 % (7893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.38/5.14 % (7893)Termination reason: Refutation not found, incomplete strategy
% 27.38/5.14
% 27.38/5.14
% 27.38/5.14 % (7893)Memory used [KB]: 6268
% 27.38/5.14 % (7893)Time elapsed: 0.141 s
% 27.38/5.14 % (7893)Instructions burned: 281 (million)
% 27.38/5.14 % (7893)------------------------------
% 27.38/5.14 % (7893)------------------------------
% 27.38/5.14 % (7898)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_7655 for (2963ds/593Mi)
% 27.38/5.15 % (7899)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_7655 for (2963ds/1512Mi)
% 27.38/5.16 % (7897)Instruction limit reached!
% 27.38/5.16 % (7897)------------------------------
% 27.38/5.16 % (7897)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.38/5.16 % (7897)Termination reason: Unknown
% 27.38/5.16 % (7897)Termination phase: Saturation
% 27.38/5.16
% 27.38/5.16 % (7897)Memory used [KB]: 5756
% 27.38/5.16 % (7897)Time elapsed: 0.070 s
% 27.38/5.16 % (7897)Instructions burned: 91 (million)
% 27.38/5.16 % (7897)------------------------------
% 27.38/5.16 % (7897)------------------------------
% 27.38/5.18 % (7900)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_7655 for (2962ds/569Mi)
% 27.68/5.23 % (7891)Instruction limit reached!
% 27.68/5.23 % (7891)------------------------------
% 27.68/5.23 % (7891)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.68/5.23 % (7891)Termination reason: Unknown
% 27.68/5.23 % (7891)Termination phase: Saturation
% 27.68/5.23
% 27.68/5.23 % (7891)Memory used [KB]: 6396
% 27.68/5.23 % (7891)Time elapsed: 0.287 s
% 27.68/5.23 % (7891)Instructions burned: 595 (million)
% 27.68/5.23 % (7891)------------------------------
% 27.68/5.23 % (7891)------------------------------
% 27.68/5.25 % (7901)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_7655 for (2962ds/501Mi)
% 27.92/5.35 % (7896)Instruction limit reached!
% 27.92/5.35 % (7896)------------------------------
% 27.92/5.35 % (7896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.92/5.35 % (7896)Termination reason: Unknown
% 27.92/5.35 % (7896)Termination phase: Saturation
% 27.92/5.35
% 27.92/5.35 % (7896)Memory used [KB]: 6908
% 27.92/5.35 % (7896)Time elapsed: 0.280 s
% 27.92/5.35 % (7896)Instructions burned: 504 (million)
% 27.92/5.35 % (7896)------------------------------
% 27.92/5.35 % (7896)------------------------------
% 27.92/5.36 % (7902)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_7655 for (2961ds/562Mi)
% 28.38/5.43 % (7898)Refutation not found, non-redundant clauses discarded% (7898)------------------------------
% 28.38/5.43 % (7898)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.38/5.43 % (7898)Termination reason: Refutation not found, non-redundant clauses discarded
% 28.38/5.43
% 28.38/5.43 % (7898)Memory used [KB]: 7036
% 28.38/5.43 % (7898)Time elapsed: 0.315 s
% 28.38/5.43 % (7898)Instructions burned: 585 (million)
% 28.38/5.43 % (7898)------------------------------
% 28.38/5.43 % (7898)------------------------------
% 28.38/5.45 % (7903)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_7655 for (2960ds/406Mi)
% 28.38/5.47 % (7900)Instruction limit reached!
% 28.38/5.47 % (7900)------------------------------
% 28.38/5.47 % (7900)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.38/5.47 % (7900)Termination reason: Unknown
% 28.38/5.47 % (7900)Termination phase: Saturation
% 28.38/5.47
% 28.38/5.47 % (7900)Memory used [KB]: 6396
% 28.38/5.47 % (7900)Time elapsed: 0.309 s
% 28.38/5.47 % (7900)Instructions burned: 570 (million)
% 28.38/5.47 % (7900)------------------------------
% 28.38/5.47 % (7900)------------------------------
% 28.38/5.48 % (7904)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_7655 for (2959ds/582Mi)
% 29.19/5.50 % (7901)Instruction limit reached!
% 29.19/5.50 % (7901)------------------------------
% 29.19/5.50 % (7901)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.19/5.50 % (7901)Termination reason: Unknown
% 29.19/5.50 % (7901)Termination phase: Saturation
% 29.19/5.50
% 29.19/5.50 % (7901)Memory used [KB]: 6780
% 29.19/5.50 % (7901)Time elapsed: 0.273 s
% 29.19/5.50 % (7901)Instructions burned: 501 (million)
% 29.19/5.50 % (7901)------------------------------
% 29.19/5.50 % (7901)------------------------------
% 29.19/5.52 % (7905)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_7655 for (2959ds/456Mi)
% 29.65/5.66 % (7903)Refutation not found, non-redundant clauses discarded% (7903)------------------------------
% 29.65/5.66 % (7903)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.65/5.66 % (7903)Termination reason: Refutation not found, non-redundant clauses discarded
% 29.65/5.66
% 29.65/5.66 % (7903)Memory used [KB]: 6652
% 29.65/5.66 % (7903)Time elapsed: 0.235 s
% 29.65/5.66 % (7903)Instructions burned: 397 (million)
% 29.65/5.66 % (7903)------------------------------
% 29.65/5.66 % (7903)------------------------------
% 29.65/5.66 % (7902)Instruction limit reached!
% 29.65/5.66 % (7902)------------------------------
% 29.65/5.66 % (7902)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.65/5.66 % (7902)Termination reason: Unknown
% 29.65/5.66 % (7902)Termination phase: Saturation
% 29.65/5.66
% 29.65/5.66 % (7902)Memory used [KB]: 6908
% 29.65/5.66 % (7902)Time elapsed: 0.324 s
% 29.65/5.66 % (7902)Instructions burned: 563 (million)
% 29.65/5.66 % (7902)------------------------------
% 29.65/5.66 % (7902)------------------------------
% 29.65/5.68 % (7906)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_7655 for (2957ds/393Mi)
% 29.65/5.68 % (7907)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_7655 for (2957ds/1335Mi)
% 30.39/5.74 % (7905)Instruction limit reached!
% 30.39/5.74 % (7905)------------------------------
% 30.39/5.74 % (7905)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.39/5.74 % (7905)Termination reason: Unknown
% 30.39/5.74 % (7905)Termination phase: Saturation
% 30.39/5.74
% 30.39/5.74 % (7905)Memory used [KB]: 6396
% 30.39/5.74 % (7905)Time elapsed: 0.225 s
% 30.39/5.74 % (7905)Instructions burned: 457 (million)
% 30.39/5.74 % (7905)------------------------------
% 30.39/5.74 % (7905)------------------------------
% 30.39/5.76 % (7908)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_7655 for (2957ds/3373Mi)
% 30.39/5.76 % (7904)Instruction limit reached!
% 30.39/5.76 % (7904)------------------------------
% 30.39/5.76 % (7904)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.39/5.76 % (7904)Termination reason: Unknown
% 30.39/5.76 % (7904)Termination phase: Saturation
% 30.39/5.76
% 30.39/5.76 % (7904)Memory used [KB]: 6524
% 30.39/5.76 % (7904)Time elapsed: 0.306 s
% 30.39/5.76 % (7904)Instructions burned: 582 (million)
% 30.39/5.76 % (7904)------------------------------
% 30.39/5.76 % (7904)------------------------------
% 30.39/5.78 % (7909)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_7655 for (2956ds/474Mi)
% 30.39/5.79 % (7894)Instruction limit reached!
% 30.39/5.79 % (7894)------------------------------
% 30.39/5.79 % (7894)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.39/5.79 % (7894)Termination reason: Unknown
% 30.39/5.79 % (7894)Termination phase: Saturation
% 30.39/5.79
% 30.39/5.79 % (7894)Memory used [KB]: 7675
% 30.39/5.79 % (7894)Time elapsed: 0.781 s
% 30.39/5.79 % (7894)Instructions burned: 1764 (million)
% 30.39/5.79 % (7894)------------------------------
% 30.39/5.79 % (7894)------------------------------
% 31.14/5.81 % (7910)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_7655 for (2956ds/157Mi)
% 31.14/5.87 % (7906)Instruction limit reached!
% 31.14/5.87 % (7906)------------------------------
% 31.14/5.87 % (7906)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.14/5.87 % (7906)Termination reason: Unknown
% 31.14/5.87 % (7906)Termination phase: Saturation
% 31.14/5.87
% 31.14/5.87 % (7906)Memory used [KB]: 6396
% 31.14/5.87 % (7906)Time elapsed: 0.189 s
% 31.14/5.87 % (7906)Instructions burned: 393 (million)
% 31.14/5.87 % (7906)------------------------------
% 31.14/5.87 % (7906)------------------------------
% 31.14/5.88 % (7911)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_7655 for (2955ds/590Mi)
% 31.14/5.89 % (7910)Instruction limit reached!
% 31.14/5.89 % (7910)------------------------------
% 31.14/5.89 % (7910)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.14/5.89 % (7910)Termination reason: Unknown
% 31.14/5.89 % (7910)Termination phase: Saturation
% 31.14/5.89
% 31.14/5.89 % (7910)Memory used [KB]: 5884
% 31.14/5.89 % (7910)Time elapsed: 0.081 s
% 31.14/5.89 % (7910)Instructions burned: 158 (million)
% 31.14/5.89 % (7910)------------------------------
% 31.14/5.89 % (7910)------------------------------
% 31.54/5.90 % (7899)Instruction limit reached!
% 31.54/5.90 % (7899)------------------------------
% 31.54/5.90 % (7899)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.54/5.90 % (7899)Termination reason: Unknown
% 31.54/5.90 % (7899)Termination phase: Saturation
% 31.54/5.90
% 31.54/5.90 % (7899)Memory used [KB]: 7675
% 31.54/5.90 % (7899)Time elapsed: 0.774 s
% 31.54/5.90 % (7899)Instructions burned: 1513 (million)
% 31.54/5.90 % (7899)------------------------------
% 31.54/5.90 % (7899)------------------------------
% 31.54/5.90 % (7912)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_7655 for (2955ds/104Mi)
% 31.54/5.92 % (7913)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_7655 for (2955ds/414Mi)
% 31.54/5.96 % (7912)Instruction limit reached!
% 31.54/5.96 % (7912)------------------------------
% 31.54/5.96 % (7912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.54/5.96 % (7912)Termination reason: Unknown
% 31.54/5.96 % (7912)Termination phase: Saturation
% 31.54/5.96
% 31.54/5.96 % (7912)Memory used [KB]: 5756
% 31.54/5.96 % (7912)Time elapsed: 0.058 s
% 31.54/5.96 % (7912)Instructions burned: 104 (million)
% 31.54/5.96 % (7912)------------------------------
% 31.54/5.96 % (7912)------------------------------
% 31.54/5.98 % (7914)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_7655 for (2954ds/715Mi)
% 31.54/6.00 % (7909)Instruction limit reached!
% 31.54/6.00 % (7909)------------------------------
% 31.54/6.00 % (7909)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.54/6.00 % (7909)Termination reason: Unknown
% 31.54/6.00 % (7909)Termination phase: Saturation
% 31.54/6.00
% 31.54/6.00 % (7909)Memory used [KB]: 6396
% 31.54/6.00 % (7909)Time elapsed: 0.220 s
% 31.54/6.00 % (7909)Instructions burned: 474 (million)
% 31.54/6.00 % (7909)------------------------------
% 31.54/6.00 % (7909)------------------------------
% 31.54/6.01 % (7915)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_7655 for (2954ds/961Mi)
% 33.68/6.12 % (7913)Refutation not found, incomplete strategy
% 33.68/6.12 % (7913)------------------------------
% 33.68/6.12 % (7913)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.68/6.12 % (7913)Termination reason: Refutation not found, incomplete strategy
% 33.68/6.12
% 33.68/6.12
% 33.68/6.12 % (7913)Memory used [KB]: 6268
% 33.68/6.12 % (7913)Time elapsed: 0.198 s
% 33.68/6.12 % (7913)Instructions burned: 392 (million)
% 33.68/6.12 % (7913)------------------------------
% 33.68/6.12 % (7913)------------------------------
% 34.31/6.13 % (7916)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_7655 for (2953ds/1213Mi)
% 34.31/6.16 % (7911)Instruction limit reached!
% 34.31/6.16 % (7911)------------------------------
% 34.31/6.16 % (7911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.31/6.16 % (7911)Termination reason: Unknown
% 34.31/6.16 % (7911)Termination phase: Saturation
% 34.31/6.16
% 34.31/6.16 % (7911)Memory used [KB]: 6268
% 34.31/6.16 % (7911)Time elapsed: 0.283 s
% 34.31/6.17 % (7911)Instructions burned: 590 (million)
% 34.31/6.17 % (7911)------------------------------
% 34.31/6.17 % (7911)------------------------------
% 34.31/6.18 % (7917)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_7655 for (2952ds/1979Mi)
% 35.04/6.33 % (7914)Instruction limit reached!
% 35.04/6.33 % (7914)------------------------------
% 35.04/6.33 % (7914)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.04/6.33 % (7914)Termination reason: Unknown
% 35.04/6.33 % (7914)Termination phase: Saturation
% 35.04/6.33
% 35.04/6.33 % (7914)Memory used [KB]: 2558
% 35.04/6.33 % (7914)Time elapsed: 0.352 s
% 35.04/6.33 % (7914)Instructions burned: 715 (million)
% 35.04/6.33 % (7914)------------------------------
% 35.04/6.33 % (7914)------------------------------
% 35.04/6.34 % (7907)Instruction limit reached!
% 35.04/6.34 % (7907)------------------------------
% 35.04/6.34 % (7907)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.04/6.34 % (7907)Termination reason: Unknown
% 35.04/6.34 % (7907)Termination phase: Saturation
% 35.04/6.34
% 35.04/6.34 % (7907)Memory used [KB]: 8059
% 35.04/6.34 % (7907)Time elapsed: 0.663 s
% 35.04/6.34 % (7907)Instructions burned: 1336 (million)
% 35.04/6.34 % (7907)------------------------------
% 35.04/6.34 % (7907)------------------------------
% 35.04/6.34 % (7918)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_7655 for (2951ds/481Mi)
% 35.04/6.36 % (7919)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_7655 for (2951ds/783Mi)
% 35.32/6.48 % (7915)Instruction limit reached!
% 35.32/6.48 % (7915)------------------------------
% 35.32/6.48 % (7915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.32/6.48 % (7915)Termination reason: Unknown
% 35.32/6.48 % (7915)Termination phase: Saturation
% 35.32/6.48
% 35.32/6.48 % (7915)Memory used [KB]: 7164
% 35.32/6.48 % (7915)Time elapsed: 0.468 s
% 35.32/6.48 % (7915)Instructions burned: 962 (million)
% 35.32/6.48 % (7915)------------------------------
% 35.32/6.48 % (7915)------------------------------
% 36.01/6.50 % (7920)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_7655 for (2949ds/432Mi)
% 36.01/6.58 % (7918)Instruction limit reached!
% 36.01/6.58 % (7918)------------------------------
% 36.01/6.58 % (7918)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.01/6.58 % (7918)Termination reason: Unknown
% 36.01/6.58 % (7918)Termination phase: Saturation
% 36.01/6.58
% 36.01/6.58 % (7918)Memory used [KB]: 6268
% 36.01/6.58 % (7918)Time elapsed: 0.244 s
% 36.01/6.58 % (7918)Instructions burned: 481 (million)
% 36.01/6.58 % (7918)------------------------------
% 36.01/6.58 % (7918)------------------------------
% 36.47/6.60 % (7921)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_7655 for (2948ds/1670Mi)
% 36.47/6.67 % (7921)Refutation not found, incomplete strategy
% 36.47/6.67 % (7921)------------------------------
% 36.47/6.67 % (7921)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.47/6.67 % (7921)Termination reason: Refutation not found, incomplete strategy
% 36.47/6.67
% 36.47/6.67
% 36.47/6.68 % (7921)Memory used [KB]: 5884
% 36.47/6.68 % (7921)Time elapsed: 0.076 s
% 36.47/6.68 % (7921)Instructions burned: 143 (million)
% 36.47/6.68 % (7921)------------------------------
% 36.47/6.68 % (7921)------------------------------
% 36.47/6.69 % (7922)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_7655 for (2947ds/90Mi)
% 36.76/6.72 % (7920)Instruction limit reached!
% 36.76/6.72 % (7920)------------------------------
% 36.76/6.72 % (7920)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.76/6.72 % (7920)Termination reason: Unknown
% 36.76/6.72 % (7920)Termination phase: Saturation
% 36.76/6.72
% 36.76/6.72 % (7920)Memory used [KB]: 6396
% 36.76/6.72 % (7920)Time elapsed: 0.225 s
% 36.76/6.72 % (7920)Instructions burned: 433 (million)
% 36.76/6.72 % (7920)------------------------------
% 36.76/6.72 % (7920)------------------------------
% 36.76/6.74 % (7922)Instruction limit reached!
% 36.76/6.74 % (7922)------------------------------
% 36.76/6.74 % (7922)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.76/6.74 % (7922)Termination reason: Unknown
% 36.76/6.74 % (7922)Termination phase: Saturation
% 36.76/6.74
% 36.76/6.74 % (7922)Memory used [KB]: 5756
% 36.76/6.74 % (7922)Time elapsed: 0.048 s
% 36.76/6.74 % (7922)Instructions burned: 90 (million)
% 36.76/6.74 % (7922)------------------------------
% 36.76/6.74 % (7922)------------------------------
% 36.76/6.74 % (7923)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_7655 for (2947ds/346Mi)
% 36.76/6.74 % (7919)Instruction limit reached!
% 36.76/6.74 % (7919)------------------------------
% 36.76/6.74 % (7919)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.76/6.74 % (7919)Termination reason: Unknown
% 36.76/6.74 % (7919)Termination phase: Saturation
% 36.76/6.74
% 36.76/6.74 % (7919)Memory used [KB]: 7164
% 36.76/6.74 % (7919)Time elapsed: 0.387 s
% 36.76/6.74 % (7919)Instructions burned: 784 (million)
% 36.76/6.74 % (7919)------------------------------
% 36.76/6.74 % (7919)------------------------------
% 36.76/6.76 % (7924)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_7655 for (2947ds/401Mi)
% 36.76/6.76 % (7925)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_7655 for (2947ds/6454Mi)
% 36.76/6.77 % (7916)Instruction limit reached!
% 36.76/6.77 % (7916)------------------------------
% 36.76/6.77 % (7916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.76/6.77 % (7916)Termination reason: Unknown
% 36.76/6.77 % (7916)Termination phase: Saturation
% 36.76/6.77
% 36.76/6.77 % (7916)Memory used [KB]: 7291
% 36.76/6.77 % (7916)Time elapsed: 0.638 s
% 36.76/6.77 % (7916)Instructions burned: 1213 (million)
% 36.76/6.77 % (7916)------------------------------
% 36.76/6.77 % (7916)------------------------------
% 36.76/6.79 % (7926)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_7655 for (2946ds/283Mi)
% 38.52/6.91 % (7923)Instruction limit reached!
% 38.52/6.91 % (7923)------------------------------
% 38.52/6.91 % (7923)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.52/6.91 % (7923)Termination reason: Unknown
% 38.52/6.91 % (7923)Termination phase: Saturation
% 38.52/6.91
% 38.52/6.91 % (7923)Memory used [KB]: 6524
% 38.52/6.91 % (7923)Time elapsed: 0.174 s
% 38.52/6.91 % (7923)Instructions burned: 346 (million)
% 38.52/6.91 % (7923)------------------------------
% 38.52/6.91 % (7923)------------------------------
% 38.52/6.93 % (7926)Instruction limit reached!
% 38.52/6.93 % (7926)------------------------------
% 38.52/6.93 % (7926)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.52/6.93 % (7926)Termination reason: Unknown
% 38.52/6.93 % (7926)Termination phase: Saturation
% 38.52/6.93
% 38.52/6.93 % (7926)Memory used [KB]: 6524
% 38.52/6.93 % (7926)Time elapsed: 0.144 s
% 38.52/6.93 % (7926)Instructions burned: 284 (million)
% 38.52/6.93 % (7926)------------------------------
% 38.52/6.93 % (7926)------------------------------
% 38.52/6.93 % (7927)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_7655 for (2945ds/865Mi)
% 38.52/6.94 % (7928)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_7655 for (2945ds/4528Mi)
% 38.52/6.95 % (7924)Instruction limit reached!
% 38.52/6.95 % (7924)------------------------------
% 38.52/6.95 % (7924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 38.52/6.95 % (7924)Termination reason: Unknown
% 38.52/6.95 % (7924)Termination phase: Saturation
% 38.52/6.95
% 38.52/6.95 % (7924)Memory used [KB]: 6140
% 38.52/6.95 % (7924)Time elapsed: 0.202 s
% 38.52/6.95 % (7924)Instructions burned: 401 (million)
% 38.52/6.95 % (7924)------------------------------
% 38.52/6.95 % (7924)------------------------------
% 38.52/6.97 % (7929)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_7655 for (2944ds/1001Mi)
% 41.43/7.16 % (7917)Instruction limit reached!
% 41.43/7.16 % (7917)------------------------------
% 41.43/7.16 % (7917)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.43/7.16 % (7917)Termination reason: Unknown
% 41.43/7.16 % (7917)Termination phase: Saturation
% 41.43/7.16
% 41.43/7.16 % (7917)Memory used [KB]: 8443
% 41.43/7.16 % (7917)Time elapsed: 0.978 s
% 41.43/7.16 % (7917)Instructions burned: 1979 (million)
% 41.43/7.16 % (7917)------------------------------
% 41.43/7.16 % (7917)------------------------------
% 41.43/7.18 % (7930)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_7655 for (2942ds/102Mi)
% 41.43/7.19 % (7930)Refutation not found, incomplete strategy
% 41.43/7.19 % (7930)------------------------------
% 41.43/7.19 % (7930)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.43/7.19 % (7930)Termination reason: Refutation not found, incomplete strategy
% 41.43/7.19
% 41.43/7.19
% 41.43/7.19 % (7930)Memory used [KB]: 5628
% 41.43/7.19 % (7930)Time elapsed: 0.020 s
% 41.43/7.19 % (7930)Instructions burned: 33 (million)
% 41.43/7.19 % (7930)------------------------------
% 41.43/7.19 % (7930)------------------------------
% 41.90/7.21 % (7931)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_7655 for (2942ds/952Mi)
% 42.49/7.37 % (7927)Instruction limit reached!
% 42.49/7.37 % (7927)------------------------------
% 42.49/7.37 % (7927)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.49/7.37 % (7927)Termination reason: Unknown
% 42.49/7.37 % (7927)Termination phase: Saturation
% 42.49/7.37
% 42.49/7.37 % (7927)Memory used [KB]: 7291
% 42.49/7.37 % (7927)Time elapsed: 0.443 s
% 42.49/7.37 % (7927)Instructions burned: 866 (million)
% 42.49/7.37 % (7927)------------------------------
% 42.49/7.37 % (7927)------------------------------
% 42.49/7.38 % (7908)Instruction limit reached!
% 42.49/7.38 % (7908)------------------------------
% 42.49/7.38 % (7908)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.49/7.38 % (7908)Termination reason: Unknown
% 42.49/7.38 % (7908)Termination phase: Saturation
% 42.49/7.38
% 42.49/7.38 % (7908)Memory used [KB]: 10106
% 42.49/7.38 % (7908)Time elapsed: 1.625 s
% 42.49/7.38 % (7908)Instructions burned: 3374 (million)
% 42.49/7.38 % (7908)------------------------------
% 42.49/7.38 % (7908)------------------------------
% 42.49/7.39 % (7932)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_7655 for (2940ds/578Mi)
% 42.49/7.40 % (7933)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_7655 for (2940ds/643Mi)
% 43.07/7.43 % (7928)Refutation not found, incomplete strategy
% 43.07/7.43 % (7928)------------------------------
% 43.07/7.43 % (7928)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.07/7.43 % (7928)Termination reason: Refutation not found, incomplete strategy
% 43.07/7.43
% 43.07/7.43
% 43.07/7.43 % (7928)Memory used [KB]: 1918
% 43.07/7.43 % (7928)Time elapsed: 0.498 s
% 43.07/7.43 % (7928)Instructions burned: 1047 (million)
% 43.07/7.43 % (7928)------------------------------
% 43.07/7.43 % (7928)------------------------------
% 43.07/7.44 % (7934)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_7655 for (2940ds/865Mi)
% 43.07/7.47 % (7929)Instruction limit reached!
% 43.07/7.47 % (7929)------------------------------
% 43.07/7.47 % (7929)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.07/7.47 % (7929)Termination reason: Unknown
% 43.07/7.47 % (7929)Termination phase: Saturation
% 43.07/7.47
% 43.07/7.47 % (7929)Memory used [KB]: 9210
% 43.07/7.47 % (7929)Time elapsed: 0.496 s
% 43.07/7.47 % (7929)Instructions burned: 1001 (million)
% 43.07/7.47 % (7929)------------------------------
% 43.07/7.47 % (7929)------------------------------
% 43.07/7.48 % (7935)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_7655 for (2939ds/1174Mi)
% 43.60/7.65 % (7932)Instruction limit reached!
% 43.60/7.65 % (7932)------------------------------
% 43.60/7.65 % (7932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.60/7.65 % (7932)Termination reason: Unknown
% 43.60/7.65 % (7932)Termination phase: Saturation
% 43.60/7.65
% 43.60/7.65 % (7932)Memory used [KB]: 6268
% 43.60/7.65 % (7932)Time elapsed: 0.264 s
% 43.60/7.65 % (7932)Instructions burned: 579 (million)
% 43.60/7.65 % (7932)------------------------------
% 43.60/7.65 % (7932)------------------------------
% 43.60/7.66 % (7936)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_7655 for (2938ds/644Mi)
% 43.60/7.68 % (7931)Instruction limit reached!
% 43.60/7.68 % (7931)------------------------------
% 43.60/7.68 % (7931)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 43.60/7.68 % (7931)Termination reason: Unknown
% 43.60/7.68 % (7931)Termination phase: Saturation
% 43.60/7.68
% 43.60/7.68 % (7931)Memory used [KB]: 7803
% 43.60/7.68 % (7931)Time elapsed: 0.470 s
% 43.60/7.68 % (7931)Instructions burned: 952 (million)
% 43.60/7.68 % (7931)------------------------------
% 43.60/7.68 % (7931)------------------------------
% 43.60/7.70 % (7937)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_7655 for (2937ds/1201Mi)
% 44.55/7.72 % (7933)Instruction limit reached!
% 44.55/7.72 % (7933)------------------------------
% 44.55/7.72 % (7933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.55/7.72 % (7933)Termination reason: Unknown
% 44.55/7.72 % (7933)Termination phase: Saturation
% 44.55/7.72
% 44.55/7.72 % (7933)Memory used [KB]: 6268
% 44.55/7.72 % (7933)Time elapsed: 0.325 s
% 44.55/7.72 % (7933)Instructions burned: 643 (million)
% 44.55/7.72 % (7933)------------------------------
% 44.55/7.72 % (7933)------------------------------
% 44.55/7.74 % (7938)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_7655 for (2937ds/1046Mi)
% 44.55/7.77 % (7881)Instruction limit reached!
% 44.55/7.77 % (7881)------------------------------
% 44.55/7.77 % (7881)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.55/7.77 % (7881)Termination reason: Unknown
% 44.55/7.77 % (7881)Termination phase: Saturation
% 44.55/7.77
% 44.55/7.77 % (7881)Memory used [KB]: 14328
% 44.55/7.77 % (7881)Time elapsed: 3.965 s
% 44.55/7.77 % (7881)Instructions burned: 8251 (million)
% 44.55/7.77 % (7881)------------------------------
% 44.55/7.77 % (7881)------------------------------
% 44.55/7.79 % (7939)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_7655 for (2936ds/222Mi)
% 45.08/7.87 % (7934)Instruction limit reached!
% 45.08/7.87 % (7934)------------------------------
% 45.08/7.87 % (7934)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.08/7.87 % (7934)Termination reason: Unknown
% 45.08/7.87 % (7934)Termination phase: Saturation
% 45.08/7.87
% 45.08/7.87 % (7934)Memory used [KB]: 7036
% 45.08/7.87 % (7934)Time elapsed: 0.433 s
% 45.08/7.87 % (7934)Instructions burned: 866 (million)
% 45.08/7.87 % (7934)------------------------------
% 45.08/7.87 % (7934)------------------------------
% 45.08/7.89 % (7940)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_7655 for (2935ds/68Mi)
% 45.62/7.90 % (7939)Instruction limit reached!
% 45.62/7.90 % (7939)------------------------------
% 45.62/7.90 % (7939)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.62/7.90 % (7939)Termination reason: Unknown
% 45.62/7.90 % (7939)Termination phase: Saturation
% 45.62/7.90
% 45.62/7.90 % (7939)Memory used [KB]: 6012
% 45.62/7.90 % (7939)Time elapsed: 0.114 s
% 45.62/7.90 % (7939)Instructions burned: 222 (million)
% 45.62/7.90 % (7939)------------------------------
% 45.62/7.90 % (7939)------------------------------
% 45.62/7.92 % (7941)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_7655 for (2935ds/454Mi)
% 45.62/7.93 % (7940)Instruction limit reached!
% 45.62/7.93 % (7940)------------------------------
% 45.62/7.93 % (7940)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.62/7.93 % (7940)Termination reason: Unknown
% 45.62/7.93 % (7940)Termination phase: Saturation
% 45.62/7.93
% 45.62/7.93 % (7940)Memory used [KB]: 5756
% 45.62/7.93 % (7940)Time elapsed: 0.037 s
% 45.62/7.93 % (7940)Instructions burned: 68 (million)
% 45.62/7.93 % (7940)------------------------------
% 45.62/7.93 % (7940)------------------------------
% 45.62/7.94 % (7942)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_7655 for (2935ds/360Mi)
% 45.62/7.99 % (7936)Instruction limit reached!
% 45.62/7.99 % (7936)------------------------------
% 45.62/7.99 % (7936)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 45.62/7.99 % (7936)Termination reason: Unknown
% 45.62/7.99 % (7936)Termination phase: Saturation
% 45.62/7.99
% 45.62/7.99 % (7936)Memory used [KB]: 6652
% 45.62/7.99 % (7936)Time elapsed: 0.330 s
% 45.62/7.99 % (7936)Instructions burned: 645 (million)
% 45.62/7.99 % (7936)------------------------------
% 45.62/7.99 % (7936)------------------------------
% 45.62/8.01 % (7943)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_7655 for (2934ds/157Mi)
% 47.68/8.05 % (7935)Instruction limit reached!
% 47.68/8.05 % (7935)------------------------------
% 47.68/8.05 % (7935)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.68/8.05 % (7935)Termination reason: Unknown
% 47.68/8.05 % (7935)Termination phase: Saturation
% 47.68/8.05
% 47.68/8.05 % (7935)Memory used [KB]: 7291
% 47.68/8.05 % (7935)Time elapsed: 0.572 s
% 47.68/8.05 % (7935)Instructions burned: 1175 (million)
% 47.68/8.05 % (7935)------------------------------
% 47.68/8.05 % (7935)------------------------------
% 47.68/8.07 % (7944)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_7655 for (2933ds/5061Mi)
% 47.68/8.09 % (7943)Instruction limit reached!
% 47.68/8.09 % (7943)------------------------------
% 47.68/8.09 % (7943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.68/8.09 % (7943)Termination reason: Unknown
% 47.68/8.09 % (7943)Termination phase: Saturation
% 47.68/8.09
% 47.68/8.09 % (7943)Memory used [KB]: 5884
% 47.68/8.09 % (7943)Time elapsed: 0.082 s
% 47.68/8.09 % (7943)Instructions burned: 158 (million)
% 47.68/8.09 % (7943)------------------------------
% 47.68/8.09 % (7943)------------------------------
% 47.68/8.11 % (7945)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_7655 for (2933ds/2401Mi)
% 47.68/8.12 % (7942)Instruction limit reached!
% 47.68/8.12 % (7942)------------------------------
% 47.68/8.12 % (7942)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.68/8.12 % (7942)Termination reason: Unknown
% 47.68/8.12 % (7942)Termination phase: Saturation
% 47.68/8.12
% 47.68/8.12 % (7942)Memory used [KB]: 6268
% 47.68/8.12 % (7942)Time elapsed: 0.182 s
% 47.68/8.12 % (7942)Instructions burned: 361 (million)
% 47.68/8.12 % (7942)------------------------------
% 47.68/8.12 % (7942)------------------------------
% 48.32/8.14 % (7946)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_7655 for (2933ds/5798Mi)
% 48.32/8.14 % (7941)Instruction limit reached!
% 48.32/8.14 % (7941)------------------------------
% 48.32/8.14 % (7941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.32/8.14 % (7941)Termination reason: Unknown
% 48.32/8.14 % (7941)Termination phase: Saturation
% 48.32/8.14
% 48.32/8.14 % (7941)Memory used [KB]: 10490
% 48.32/8.14 % (7941)Time elapsed: 0.229 s
% 48.32/8.14 % (7941)Instructions burned: 454 (million)
% 48.32/8.14 % (7941)------------------------------
% 48.32/8.14 % (7941)------------------------------
% 48.32/8.16 % (7947)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_7655 for (2933ds/346Mi)
% 48.55/8.26 % (7938)Instruction limit reached!
% 48.55/8.26 % (7938)------------------------------
% 48.55/8.26 % (7938)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.55/8.26 % (7938)Termination reason: Unknown
% 48.55/8.26 % (7938)Termination phase: Saturation
% 48.55/8.26
% 48.55/8.26 % (7938)Memory used [KB]: 8315
% 48.55/8.26 % (7938)Time elapsed: 0.527 s
% 48.55/8.26 % (7938)Instructions burned: 1047 (million)
% 48.55/8.26 % (7938)------------------------------
% 48.55/8.26 % (7938)------------------------------
% 48.55/8.28 % (7937)Instruction limit reached!
% 48.55/8.28 % (7937)------------------------------
% 48.55/8.28 % (7937)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.55/8.28 % (7937)Termination reason: Unknown
% 48.55/8.28 % (7937)Termination phase: Saturation
% 48.55/8.28
% 48.55/8.28 % (7937)Memory used [KB]: 7675
% 48.55/8.28 % (7937)Time elapsed: 0.603 s
% 48.55/8.28 % (7937)Instructions burned: 1201 (million)
% 48.55/8.28 % (7937)------------------------------
% 48.55/8.28 % (7937)------------------------------
% 48.55/8.28 % (7948)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_7655 for (2931ds/1321Mi)
% 48.55/8.29 % (7949)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_7655 for (2931ds/1312Mi)
% 48.82/8.33 % (7947)Instruction limit reached!
% 48.82/8.33 % (7947)------------------------------
% 48.82/8.33 % (7947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.82/8.33 % (7947)Termination reason: Unknown
% 48.82/8.33 % (7947)Termination phase: Saturation
% 48.82/8.33
% 48.82/8.33 % (7947)Memory used [KB]: 6524
% 48.82/8.33 % (7947)Time elapsed: 0.175 s
% 48.82/8.33 % (7947)Instructions burned: 347 (million)
% 48.82/8.33 % (7947)------------------------------
% 48.82/8.33 % (7947)------------------------------
% 48.82/8.35 % (7950)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_7655 for (2931ds/672Mi)
% 49.31/8.69 % (7950)Instruction limit reached!
% 49.31/8.69 % (7950)------------------------------
% 49.31/8.69 % (7950)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.31/8.69 % (7950)Termination reason: Unknown
% 49.31/8.69 % (7950)Termination phase: Saturation
% 49.31/8.69
% 49.31/8.69 % (7950)Memory used [KB]: 7036
% 49.31/8.69 % (7950)Time elapsed: 0.342 s
% 49.31/8.69 % (7950)Instructions burned: 672 (million)
% 49.31/8.69 % (7950)------------------------------
% 49.31/8.69 % (7950)------------------------------
% 49.77/8.71 % (7951)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_7655 for (2927ds/1897Mi)
% 49.96/8.92 % (7949)Instruction limit reached!
% 49.96/8.92 % (7949)------------------------------
% 49.96/8.92 % (7949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.96/8.92 % (7949)Termination reason: Unknown
% 49.96/8.92 % (7949)Termination phase: Saturation
% 49.96/8.92
% 49.96/8.92 % (7949)Memory used [KB]: 8571
% 49.96/8.92 % (7949)Time elapsed: 0.627 s
% 49.96/8.92 % (7949)Instructions burned: 1313 (million)
% 49.96/8.92 % (7949)------------------------------
% 49.96/8.92 % (7949)------------------------------
% 49.96/8.92 % (7948)Instruction limit reached!
% 49.96/8.92 % (7948)------------------------------
% 49.96/8.92 % (7948)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.96/8.92 % (7948)Termination reason: Unknown
% 49.96/8.92 % (7948)Termination phase: Saturation
% 49.96/8.92
% 49.96/8.92 % (7948)Memory used [KB]: 2174
% 49.96/8.92 % (7948)Time elapsed: 0.647 s
% 49.96/8.92 % (7948)Instructions burned: 1321 (million)
% 49.96/8.92 % (7948)------------------------------
% 49.96/8.92 % (7948)------------------------------
% 49.96/8.93 % (7952)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_7655 for (2925ds/1202Mi)
% 49.96/8.94 % (7953)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_7655 for (2925ds/1493Mi)
% 55.89/9.29 % (7945)Instruction limit reached!
% 55.89/9.29 % (7945)------------------------------
% 55.89/9.29 % (7945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.89/9.29 % (7945)Termination reason: Unknown
% 55.89/9.29 % (7945)Termination phase: Saturation
% 55.89/9.29
% 55.89/9.29 % (7945)Memory used [KB]: 13176
% 55.89/9.29 % (7945)Time elapsed: 1.181 s
% 55.89/9.29 % (7945)Instructions burned: 2402 (million)
% 55.89/9.29 % (7945)------------------------------
% 55.89/9.29 % (7945)------------------------------
% 55.89/9.29 % (7944)First to succeed.
% 55.89/9.30 % (7944)Refutation found. Thanks to Tanya!
% 55.89/9.30 % SZS status Theorem for DTF2THF_7655
% 55.89/9.30 % SZS output start Proof for DTF2THF_7655
% 55.89/9.30 thf(func_def_0, type, cNUMBER: $i > $o).
% 55.89/9.30 thf(func_def_1, type, cODD: $i > $o).
% 55.89/9.30 thf(func_def_2, type, cEVEN: $i > $o).
% 55.89/9.30 thf(func_def_3, type, cS: $i > $i).
% 55.89/9.30 thf(func_def_19, type, sK1: ($i > $o) > ($i > $o) > $i).
% 55.89/9.30 thf(func_def_21, type, ph3: !>[X0: $tType]:(X0)).
% 55.89/9.30 thf(f8854,plain,(
% 55.89/9.30 $false),
% 55.89/9.30 inference(avatar_sat_refutation,[status(thm)],[f225,f373,f2588,f2594,f2595,f2717,f8789,f8817,f8853])).
% 55.89/9.30 thf(f8853,plain,(
% 55.89/9.30 ~spl0_5 | ~spl0_18 | ~spl0_75),
% 55.89/9.30 inference(avatar_contradiction_clause,[status(thm)],[f8852])).
% 55.89/9.30 thf(f8852,plain,(
% 55.89/9.30 $false | (~spl0_5 | ~spl0_18 | ~spl0_75)),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f8851])).
% 55.89/9.30 thf(f8851,plain,(
% 55.89/9.30 ($true = $false) | (~spl0_5 | ~spl0_18 | ~spl0_75)),
% 55.89/9.30 inference(backward_demodulation,[status(thm)],[f3704,f8850])).
% 55.89/9.30 thf(f8850,plain,(
% 55.89/9.30 ($false = (cNUMBER @ (cS @ c0))) | (~spl0_18 | ~spl0_75)),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f8849])).
% 55.89/9.30 thf(f8849,plain,(
% 55.89/9.30 (((^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ c0) = $false) | (~spl0_18 | ~spl0_75)),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f8829])).
% 55.89/9.30 thf(f8829,plain,(
% 55.89/9.30 ($true = $false) | (((^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ c0) = $false) | (~spl0_18 | ~spl0_75)),
% 55.89/9.30 inference(superposition,[status(thm)],[f8787,f2576])).
% 55.89/9.30 thf(f2576,plain,(
% 55.89/9.30 ( ! [X0 : $i > $o] : (($true = (cNUMBER @ (sK1 @ X0 @ cNUMBER))) | ((X0 @ c0) = $false)) ) | ~spl0_18),
% 55.89/9.30 inference(avatar_component_clause,[status(thm)],[f2575])).
% 55.89/9.30 thf(f2575,definition,(
% 55.89/9.30 spl0_18 <=> ! [X0 : $i > $o] : (($true = (cNUMBER @ (sK1 @ X0 @ cNUMBER))) | ((X0 @ c0) = $false))),
% 55.89/9.30 introduced(definition,[new_symbols(naming,[spl0_18])],[avatar_definition])).
% 55.89/9.30 thf(f8787,plain,(
% 55.89/9.30 ((cNUMBER @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)) = $false) | ~spl0_75),
% 55.89/9.30 inference(avatar_component_clause,[status(thm)],[f8785])).
% 55.89/9.30 thf(f8785,definition,(
% 55.89/9.30 spl0_75 <=> ((cNUMBER @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)) = $false)),
% 55.89/9.30 introduced(definition,[new_symbols(naming,[spl0_75])],[avatar_definition])).
% 55.89/9.30 thf(f3704,plain,(
% 55.89/9.30 ($true = (cNUMBER @ (cS @ c0))) | ~spl0_5),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f3702])).
% 55.89/9.30 thf(f3702,plain,(
% 55.89/9.30 ((cNUMBER @ ((^[Y0 : $i]: (cS @ ((^[Y1 : $i]: (c0)) @ Y0))) @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (cS @ ((^[Y2 : $i]: (c0)) @ Y1))) @ Y0))) @ cEVEN))) = $true) | ~spl0_5),
% 55.89/9.30 inference(equality_resolution,[status(thm)],[f3694])).
% 55.89/9.30 thf(f3694,plain,(
% 55.89/9.30 ( ! [X0 : $i > $i] : (((cS @ c0) != (X0 @ c0)) | ($true = (cNUMBER @ (X0 @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cEVEN))))) ) | ~spl0_5),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f3641])).
% 55.89/9.30 thf(f3641,plain,(
% 55.89/9.30 ( ! [X0 : $i > $i] : (((cS @ c0) != (X0 @ c0)) | ($true = $false) | ($true = (cNUMBER @ (X0 @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cEVEN))))) ) | ~spl0_5),
% 55.89/9.30 inference(superposition,[status(thm)],[f403,f17])).
% 55.89/9.30 thf(f17,plain,(
% 55.89/9.30 ((cODD @ (cS @ c0)) = $true)),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f16])).
% 55.89/9.30 thf(f16,plain,(
% 55.89/9.30 ($true = (((!! @ $i @ (^[Y0 : $i]: ((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0)))))) & (!! @ $i @ (^[Y0 : $i]: ((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0))))))) & (cODD @ (cS @ c0))))),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f14])).
% 55.89/9.30 thf(f14,plain,(
% 55.89/9.30 ($true = ((((!! @ $i @ (^[Y0 : $i]: ((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0)))))) & (!! @ $i @ (^[Y0 : $i]: ((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0))))))) & (cODD @ (cS @ c0))) & (!! @ $i @ (^[Y0 : $i]: (((cODD @ Y0) | (cEVEN @ Y0)) = (cNUMBER @ Y0))))))),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f12])).
% 55.89/9.30 thf(f12,plain,(
% 55.89/9.30 ($true = (((((!! @ $i @ (^[Y0 : $i]: ((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0)))))) & (!! @ $i @ (^[Y0 : $i]: ((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0))))))) & (cODD @ (cS @ c0))) & (!! @ $i @ (^[Y0 : $i]: (((cODD @ Y0) | (cEVEN @ Y0)) = (cNUMBER @ Y0))))) & (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((((!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y2) & (Y1 @ Y2)) => ((Y0 @ (cS @ Y2)) & (Y1 @ (cS @ Y2)))))) & (Y0 @ c0)) & (Y1 @ c0)) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))))))),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f10])).
% 55.89/9.30 thf(f10,plain,(
% 55.89/9.30 (((((((!! @ $i @ (^[Y0 : $i]: ((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0)))))) & (!! @ $i @ (^[Y0 : $i]: ((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0))))))) & (cODD @ (cS @ c0))) & (!! @ $i @ (^[Y0 : $i]: (((cODD @ Y0) | (cEVEN @ Y0)) = (cNUMBER @ Y0))))) & (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((((!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y2) & (Y1 @ Y2)) => ((Y0 @ (cS @ Y2)) & (Y1 @ (cS @ Y2)))))) & (Y0 @ c0)) & (Y1 @ c0)) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))))) & (cEVEN @ c0)) = $true)),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f8])).
% 55.89/9.30 thf(f8,plain,(
% 55.89/9.30 ((((((((!! @ $i @ (^[Y0 : $i]: ((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0)))))) & (!! @ $i @ (^[Y0 : $i]: ((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0))))))) & (cODD @ (cS @ c0))) & (!! @ $i @ (^[Y0 : $i]: (((cODD @ Y0) | (cEVEN @ Y0)) = (cNUMBER @ Y0))))) & (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((((!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y2) & (Y1 @ Y2)) => ((Y0 @ (cS @ Y2)) & (Y1 @ (cS @ Y2)))))) & (Y0 @ c0)) & (Y1 @ c0)) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))))) & (cEVEN @ c0)) => (!! @ $i @ cNUMBER)) = $false)),
% 55.89/9.30 inference(not_proxy_clausification,[status(thm)],[f7])).
% 55.89/9.30 thf(f7,plain,(
% 55.89/9.30 ((~ (((((((!! @ $i @ (^[Y0 : $i]: ((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0)))))) & (!! @ $i @ (^[Y0 : $i]: ((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0))))))) & (cODD @ (cS @ c0))) & (!! @ $i @ (^[Y0 : $i]: (((cODD @ Y0) | (cEVEN @ Y0)) = (cNUMBER @ Y0))))) & (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((((!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y2) & (Y1 @ Y2)) => ((Y0 @ (cS @ Y2)) & (Y1 @ (cS @ Y2)))))) & (Y0 @ c0)) & (Y1 @ c0)) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))))) & (cEVEN @ c0)) => (!! @ $i @ cNUMBER))) = $true)),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f6])).
% 55.89/9.30 thf(f6,plain,(
% 55.89/9.30 ((~ (((((((!! @ $i @ (^[Y0 : $i]: ((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0)))))) & (!! @ $i @ (^[Y0 : $i]: ((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0))))))) & (cODD @ (cS @ c0))) & (!! @ $i @ (^[Y0 : $i]: (((cODD @ Y0) | (cEVEN @ Y0)) = (cNUMBER @ Y0))))) & (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((((!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y2) & (Y1 @ Y2)) => ((Y0 @ (cS @ Y2)) & (Y1 @ (cS @ Y2)))))) & (Y0 @ c0)) & (Y1 @ c0)) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))))) & (cEVEN @ c0)) => (!! @ $i @ (^[Y0 : $i]: (cNUMBER @ Y0))))) = $true)),
% 55.89/9.30 inference(cnf_transformation,[status(thm)],[f5])).
% 55.89/9.30 thf(f5,plain,(
% 55.89/9.30 ((~ (((((((!! @ $i @ (^[Y0 : $i]: ((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0)))))) & (!! @ $i @ (^[Y0 : $i]: ((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0))))))) & (cODD @ (cS @ c0))) & (!! @ $i @ (^[Y0 : $i]: (((cODD @ Y0) | (cEVEN @ Y0)) = (cNUMBER @ Y0))))) & (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((((!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y2) & (Y1 @ Y2)) => ((Y0 @ (cS @ Y2)) & (Y1 @ (cS @ Y2)))))) & (Y0 @ c0)) & (Y1 @ c0)) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))))) & (cEVEN @ c0)) => (!! @ $i @ (^[Y0 : $i]: (cNUMBER @ Y0))))) = $true)),
% 55.89/9.30 inference(fool_elimination,[status(thm)],[f4])).
% 55.89/9.30 thf(f4,plain,(
% 55.89/9.30 ~(((cEVEN @ c0) & ! [X0 : $i > $o,X1 : $i > $o] : (((X0 @ c0) & (X1 @ c0) & ! [X2 : $i] : (((X0 @ X2) & (X1 @ X2)) => ((X0 @ (cS @ X2)) & (X1 @ (cS @ X2))))) => ! [X3 : $i] : ((X0 @ X3) & (X1 @ X3))) & ! [X4 : $i] : (((cEVEN @ X4) | (cODD @ X4)) <=> (cNUMBER @ X4)) & (cODD @ (cS @ c0)) & ! [X5 : $i] : ((cODD @ X5) => (cODD @ (cS @ (cS @ X5)))) & ! [X6 : $i] : ((cEVEN @ X6) => (cEVEN @ (cS @ (cS @ X6))))) => ! [X7 : $i] : (cNUMBER @ X7))),
% 55.89/9.30 inference(rectify,[status(thm)],[f2])).
% 55.89/9.30 thf(f2,negated_conjecture,(
% 55.89/9.30 ~(((cEVEN @ c0) & ! [X1 : $i > $o,X2 : $i > $o] : (((X1 @ c0) & (X2 @ c0) & ! [X3 : $i] : (((X1 @ X3) & (X2 @ X3)) => ((X1 @ (cS @ X3)) & (X2 @ (cS @ X3))))) => ! [X3 : $i] : ((X1 @ X3) & (X2 @ X3))) & ! [X0 : $i] : (((cEVEN @ X0) | (cODD @ X0)) <=> (cNUMBER @ X0)) & (cODD @ (cS @ c0)) & ! [X0 : $i] : ((cODD @ X0) => (cODD @ (cS @ (cS @ X0)))) & ! [X0 : $i] : ((cEVEN @ X0) => (cEVEN @ (cS @ (cS @ X0))))) => ! [X0 : $i] : (cNUMBER @ X0))),
% 55.89/9.30 inference(negated_conjecture,[status(cth)],[f1])).
% 55.89/9.30 thf(f1,conjecture,(
% 55.89/9.30 ((cEVEN @ c0) & ! [X1 : $i > $o,X2 : $i > $o] : (((X1 @ c0) & (X2 @ c0) & ! [X3 : $i] : (((X1 @ X3) & (X2 @ X3)) => ((X1 @ (cS @ X3)) & (X2 @ (cS @ X3))))) => ! [X3 : $i] : ((X1 @ X3) & (X2 @ X3))) & ! [X0 : $i] : (((cEVEN @ X0) | (cODD @ X0)) <=> (cNUMBER @ X0)) & (cODD @ (cS @ c0)) & ! [X0 : $i] : ((cODD @ X0) => (cODD @ (cS @ (cS @ X0)))) & ! [X0 : $i] : ((cEVEN @ X0) => (cEVEN @ (cS @ (cS @ X0))))) => ! [X0 : $i] : (cNUMBER @ X0)),
% 55.89/9.30 file('/export/starexec/sandbox/tmp/tmp.uuuknlfBAe/DTF2THF_7655.p',cEVEN_ODD_4)).
% 55.89/9.30 thf(f403,plain,(
% 55.89/9.30 ( ! [X0 : $i > $i,X1 : $i] : (((cODD @ X1) = $false) | ($true = (cNUMBER @ (X0 @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cEVEN)))) | ((X0 @ c0) != X1)) ) | ~spl0_5),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f402])).
% 55.89/9.30 thf(f402,plain,(
% 55.89/9.30 ( ! [X0 : $i > $i,X1 : $i] : (((cODD @ X1) = $false) | (((^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cEVEN)) = $true) | ((X0 @ c0) != X1)) ) | ~spl0_5),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f374])).
% 55.89/9.30 thf(f374,plain,(
% 55.89/9.30 ( ! [X0 : $i > $i,X1 : $i] : (((X0 @ c0) != X1) | ((cODD @ X1) = $false) | (((^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cEVEN)) = $true) | ($true = $false)) ) | ~spl0_5),
% 55.89/9.30 inference(constrained_superposition,[status(thm)],[f371,f33])).
% 55.89/9.30 thf(f33,plain,(
% 55.89/9.30 ( ! [X1 : $i] : (($true = (cNUMBER @ X1)) | ((cODD @ X1) = $false)) )),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f31])).
% 55.89/9.30 thf(f31,plain,(
% 55.89/9.30 ( ! [X1 : $i] : (($true = (cNUMBER @ X1)) | ($false = ((cODD @ X1) | (cEVEN @ X1)))) )),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f29])).
% 55.89/9.30 thf(f29,plain,(
% 55.89/9.30 ( ! [X1 : $i] : ((((cODD @ X1) | (cEVEN @ X1)) = (cNUMBER @ X1))) )),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f28])).
% 55.89/9.30 thf(f28,plain,(
% 55.89/9.30 ( ! [X1 : $i] : (($true = (((cODD @ X1) | (cEVEN @ X1)) = (cNUMBER @ X1)))) )),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f27])).
% 55.89/9.30 thf(f27,plain,(
% 55.89/9.30 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (((cODD @ Y0) | (cEVEN @ Y0)) = (cNUMBER @ Y0))) @ X1))) )),
% 55.89/9.30 inference(pi_clausification,[status(thm)],[f15])).
% 55.89/9.30 thf(f15,plain,(
% 55.89/9.30 ($true = (!! @ $i @ (^[Y0 : $i]: (((cODD @ Y0) | (cEVEN @ Y0)) = (cNUMBER @ Y0)))))),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f14])).
% 55.89/9.30 thf(f371,plain,(
% 55.89/9.30 ( ! [X0 : $i > $o] : (((X0 @ c0) = $false) | ((X0 @ (sK1 @ X0 @ cEVEN)) = $true)) ) | ~spl0_5),
% 55.89/9.30 inference(avatar_component_clause,[status(thm)],[f370])).
% 55.89/9.30 thf(f370,definition,(
% 55.89/9.30 spl0_5 <=> ! [X0 : $i > $o] : (((X0 @ (sK1 @ X0 @ cEVEN)) = $true) | ((X0 @ c0) = $false))),
% 55.89/9.30 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])).
% 55.89/9.30 thf(f8817,plain,(
% 55.89/9.30 ~spl0_5 | ~spl0_16 | ~spl0_21 | ~spl0_74),
% 55.89/9.30 inference(avatar_contradiction_clause,[status(thm)],[f8816])).
% 55.89/9.30 thf(f8816,plain,(
% 55.89/9.30 $false | (~spl0_5 | ~spl0_16 | ~spl0_21 | ~spl0_74)),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f8815])).
% 55.89/9.30 thf(f8815,plain,(
% 55.89/9.30 ($true = $false) | (~spl0_5 | ~spl0_16 | ~spl0_21 | ~spl0_74)),
% 55.89/9.30 inference(backward_demodulation,[status(thm)],[f8783,f8813])).
% 55.89/9.30 thf(f8813,plain,(
% 55.89/9.30 ((cODD @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)) = $false) | (~spl0_5 | ~spl0_16 | ~spl0_21)),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f8802])).
% 55.89/9.30 thf(f8802,plain,(
% 55.89/9.30 ($true = $false) | ((cODD @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)) = $false) | (~spl0_5 | ~spl0_16 | ~spl0_21)),
% 55.89/9.30 inference(superposition,[status(thm)],[f8760,f26])).
% 55.89/9.30 thf(f26,plain,(
% 55.89/9.30 ( ! [X1 : $i] : (((cODD @ (cS @ (cS @ X1))) = $true) | ((cODD @ X1) = $false)) )),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f25])).
% 55.89/9.30 thf(f25,plain,(
% 55.89/9.30 ( ! [X1 : $i] : (($true = ((cODD @ X1) => (cODD @ (cS @ (cS @ X1)))))) )),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f24])).
% 55.89/9.30 thf(f24,plain,(
% 55.89/9.30 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0))))) @ X1))) )),
% 55.89/9.30 inference(pi_clausification,[status(thm)],[f19])).
% 55.89/9.30 thf(f19,plain,(
% 55.89/9.30 ((!! @ $i @ (^[Y0 : $i]: ((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0)))))) = $true)),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f18])).
% 55.89/9.30 thf(f18,plain,(
% 55.89/9.30 ($true = ((!! @ $i @ (^[Y0 : $i]: ((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0)))))) & (!! @ $i @ (^[Y0 : $i]: ((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0))))))))),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f16])).
% 55.89/9.30 thf(f8760,plain,(
% 55.89/9.30 ((cODD @ (cS @ (cS @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))) = $false) | (~spl0_5 | ~spl0_16 | ~spl0_21)),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f8755])).
% 55.89/9.30 thf(f8755,plain,(
% 55.89/9.30 ((cODD @ (cS @ (cS @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))) = $false) | ($true = $false) | (~spl0_5 | ~spl0_16 | ~spl0_21)),
% 55.89/9.30 inference(superposition,[status(thm)],[f33,f4866])).
% 55.89/9.30 thf(f4866,plain,(
% 55.89/9.30 ((cNUMBER @ (cS @ (cS @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))) = $false) | (~spl0_5 | ~spl0_16 | ~spl0_21)),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f4865])).
% 55.89/9.30 thf(f4865,plain,(
% 55.89/9.30 ((cNUMBER @ (cS @ (cS @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))) = $false) | ($true = $false) | (~spl0_5 | ~spl0_16 | ~spl0_21)),
% 55.89/9.30 inference(forward_demodulation,[status(thm)],[f4864,f3704])).
% 55.89/9.30 thf(f4864,plain,(
% 55.89/9.30 ((cNUMBER @ (cS @ (cS @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))) = $false) | ($false = (cNUMBER @ (cS @ c0))) | (~spl0_16 | ~spl0_21)),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f4863])).
% 55.89/9.30 thf(f4863,plain,(
% 55.89/9.30 (((^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ c0) = $false) | (((^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ (cS @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER))) = $false) | (~spl0_16 | ~spl0_21)),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f4845])).
% 55.89/9.30 thf(f4845,plain,(
% 55.89/9.30 (((^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ (cS @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER))) = $false) | (((^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ c0) = $false) | ($true = $false) | (~spl0_16 | ~spl0_21)),
% 55.89/9.30 inference(superposition,[status(thm)],[f2564,f3768])).
% 55.89/9.30 thf(f3768,plain,(
% 55.89/9.30 ($true = (cNUMBER @ (cS @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))) | ~spl0_21),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f3765])).
% 55.89/9.30 thf(f3765,plain,(
% 55.89/9.30 ((cNUMBER @ ((^[Y0 : $i]: (cS @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (cS @ ((^[Y2 : $i]: (Y2)) @ Y1))) @ Y0))) @ cNUMBER))) = $true) | ~spl0_21),
% 55.89/9.30 inference(equality_resolution,[status(thm)],[f3764])).
% 55.89/9.30 thf(f3764,plain,(
% 55.89/9.30 ( ! [X0 : $i > $i] : (((cS @ c0) != (X0 @ c0)) | ($true = (cNUMBER @ (X0 @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cNUMBER))))) ) | ~spl0_21),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f3717])).
% 55.89/9.30 thf(f3717,plain,(
% 55.89/9.30 ( ! [X0 : $i > $i] : (($true = $false) | ((cS @ c0) != (X0 @ c0)) | ($true = (cNUMBER @ (X0 @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cNUMBER))))) ) | ~spl0_21),
% 55.89/9.30 inference(superposition,[status(thm)],[f17,f3059])).
% 55.89/9.30 thf(f3059,plain,(
% 55.89/9.30 ( ! [X0 : $i > $i,X1 : $i] : (((cODD @ X1) = $false) | ($true = (cNUMBER @ (X0 @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cNUMBER)))) | ((X0 @ c0) != X1)) ) | ~spl0_21),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f3058])).
% 55.89/9.30 thf(f3058,plain,(
% 55.89/9.30 ( ! [X0 : $i > $i,X1 : $i] : (((X0 @ c0) != X1) | ((cODD @ X1) = $false) | ($true = ((^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cNUMBER)))) ) | ~spl0_21),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f3005])).
% 55.89/9.30 thf(f3005,plain,(
% 55.89/9.30 ( ! [X0 : $i > $i,X1 : $i] : (((cODD @ X1) = $false) | ($true = $false) | ((X0 @ c0) != X1) | ($true = ((^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cNUMBER)))) ) | ~spl0_21),
% 55.89/9.30 inference(constrained_superposition,[status(thm)],[f2592,f33])).
% 55.89/9.30 thf(f2592,plain,(
% 55.89/9.30 ( ! [X0 : $i > $o] : (((X0 @ c0) = $false) | ($true = (X0 @ (sK1 @ X0 @ cNUMBER)))) ) | ~spl0_21),
% 55.89/9.30 inference(avatar_component_clause,[status(thm)],[f2591])).
% 55.89/9.30 thf(f2591,definition,(
% 55.89/9.30 spl0_21 <=> ! [X0 : $i > $o] : (($true = (X0 @ (sK1 @ X0 @ cNUMBER))) | ((X0 @ c0) = $false))),
% 55.89/9.30 introduced(definition,[new_symbols(naming,[spl0_21])],[avatar_definition])).
% 55.89/9.30 thf(f2564,plain,(
% 55.89/9.30 ( ! [X0 : $i > $o] : (($false = (cNUMBER @ (cS @ (sK1 @ X0 @ cNUMBER)))) | ((X0 @ c0) = $false) | ((X0 @ (cS @ (sK1 @ X0 @ cNUMBER))) = $false)) ) | ~spl0_16),
% 55.89/9.30 inference(avatar_component_clause,[status(thm)],[f2563])).
% 55.89/9.30 thf(f2563,definition,(
% 55.89/9.30 spl0_16 <=> ! [X0 : $i > $o] : (($false = (cNUMBER @ (cS @ (sK1 @ X0 @ cNUMBER)))) | ((X0 @ c0) = $false) | ((X0 @ (cS @ (sK1 @ X0 @ cNUMBER))) = $false))),
% 55.89/9.30 introduced(definition,[new_symbols(naming,[spl0_16])],[avatar_definition])).
% 55.89/9.30 thf(f8783,plain,(
% 55.89/9.30 ((cODD @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)) = $true) | ~spl0_74),
% 55.89/9.30 inference(avatar_component_clause,[status(thm)],[f8781])).
% 55.89/9.30 thf(f8781,definition,(
% 55.89/9.30 spl0_74 <=> ((cODD @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)) = $true)),
% 55.89/9.30 introduced(definition,[new_symbols(naming,[spl0_74])],[avatar_definition])).
% 55.89/9.30 thf(f8789,plain,(
% 55.89/9.30 spl0_74 | spl0_75 | ~spl0_5 | ~spl0_16 | ~spl0_21),
% 55.89/9.30 inference(avatar_split_clause,[status(thm)],[f8777,f2591,f2563,f370,f8785,f8781])).
% 55.89/9.30 thf(f8777,plain,(
% 55.89/9.30 ((cNUMBER @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)) = $false) | ((cODD @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)) = $true) | (~spl0_5 | ~spl0_16 | ~spl0_21)),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f8775])).
% 55.89/9.30 thf(f8775,plain,(
% 55.89/9.30 ($true = $false) | ((cODD @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)) = $true) | ((cNUMBER @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)) = $false) | (~spl0_5 | ~spl0_16 | ~spl0_21)),
% 55.89/9.30 inference(superposition,[status(thm)],[f34,f8772])).
% 55.89/9.30 thf(f8772,plain,(
% 55.89/9.30 ((cEVEN @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)) = $false) | (~spl0_5 | ~spl0_16 | ~spl0_21)),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f8762])).
% 55.89/9.30 thf(f8762,plain,(
% 55.89/9.30 ($true = $false) | ((cEVEN @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)) = $false) | (~spl0_5 | ~spl0_16 | ~spl0_21)),
% 55.89/9.30 inference(superposition,[status(thm)],[f8758,f23])).
% 55.89/9.30 thf(f23,plain,(
% 55.89/9.30 ( ! [X1 : $i] : (((cEVEN @ (cS @ (cS @ X1))) = $true) | ((cEVEN @ X1) = $false)) )),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f22])).
% 55.89/9.30 thf(f22,plain,(
% 55.89/9.30 ( ! [X1 : $i] : (($true = ((cEVEN @ X1) => (cEVEN @ (cS @ (cS @ X1)))))) )),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f21])).
% 55.89/9.30 thf(f21,plain,(
% 55.89/9.30 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0))))) @ X1))) )),
% 55.89/9.30 inference(pi_clausification,[status(thm)],[f20])).
% 55.89/9.30 thf(f20,plain,(
% 55.89/9.30 ($true = (!! @ $i @ (^[Y0 : $i]: ((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0)))))))),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f18])).
% 55.89/9.30 thf(f8758,plain,(
% 55.89/9.30 ((cEVEN @ (cS @ (cS @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))) = $false) | (~spl0_5 | ~spl0_16 | ~spl0_21)),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f8754])).
% 55.89/9.30 thf(f8754,plain,(
% 55.89/9.30 ((cEVEN @ (cS @ (cS @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))) = $false) | ($true = $false) | (~spl0_5 | ~spl0_16 | ~spl0_21)),
% 55.89/9.30 inference(superposition,[status(thm)],[f32,f4866])).
% 55.89/9.30 thf(f32,plain,(
% 55.89/9.30 ( ! [X1 : $i] : (($true = (cNUMBER @ X1)) | ((cEVEN @ X1) = $false)) )),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f31])).
% 55.89/9.30 thf(f34,plain,(
% 55.89/9.30 ( ! [X1 : $i] : (($true = (cEVEN @ X1)) | ((cODD @ X1) = $true) | ($false = (cNUMBER @ X1))) )),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f30])).
% 55.89/9.30 thf(f30,plain,(
% 55.89/9.30 ( ! [X1 : $i] : (($false = (cNUMBER @ X1)) | ($true = ((cODD @ X1) | (cEVEN @ X1)))) )),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f29])).
% 55.89/9.30 thf(f2717,plain,(
% 55.89/9.30 ~spl0_14),
% 55.89/9.30 inference(avatar_contradiction_clause,[status(thm)],[f2716])).
% 55.89/9.30 thf(f2716,plain,(
% 55.89/9.30 $false | ~spl0_14),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f2642])).
% 55.89/9.30 thf(f2642,plain,(
% 55.89/9.30 ($true = $false) | ~spl0_14),
% 55.89/9.30 inference(superposition,[status(thm)],[f62,f2556])).
% 55.89/9.30 thf(f2556,plain,(
% 55.89/9.30 ( ! [X0 : $i] : (((cNUMBER @ X0) = $true)) ) | ~spl0_14),
% 55.89/9.30 inference(avatar_component_clause,[status(thm)],[f2555])).
% 55.89/9.30 thf(f2555,definition,(
% 55.89/9.30 spl0_14 <=> ! [X0 : $i] : ((cNUMBER @ X0) = $true)),
% 55.89/9.30 introduced(definition,[new_symbols(naming,[spl0_14])],[avatar_definition])).
% 55.89/9.30 thf(f62,plain,(
% 55.89/9.30 ($false = (cNUMBER @ sK2))),
% 55.89/9.30 inference(sigma_clausification,[status(thm)],[f9])).
% 55.89/9.30 thf(f9,plain,(
% 55.89/9.30 ($false = (!! @ $i @ cNUMBER))),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f8])).
% 55.89/9.30 thf(f2595,plain,(
% 55.89/9.30 spl0_16 | spl0_14 | ~spl0_5),
% 55.89/9.30 inference(avatar_split_clause,[status(thm)],[f2491,f370,f2555,f2563])).
% 55.89/9.30 thf(f2491,plain,(
% 55.89/9.30 ( ! [X0 : $i > $o,X1 : $i] : (($false = (cNUMBER @ (cS @ (sK1 @ X0 @ cNUMBER)))) | ((X0 @ c0) = $false) | ((X0 @ (cS @ (sK1 @ X0 @ cNUMBER))) = $false) | ($true = (cNUMBER @ X1))) ) | ~spl0_5),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f2490])).
% 55.89/9.30 thf(f2490,plain,(
% 55.89/9.30 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ (cS @ (sK1 @ X0 @ (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0)))))) = $false) | (((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ X1) = $true) | ($false = ((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ (cS @ (sK1 @ X0 @ (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))))))) | ((X0 @ c0) = $false)) ) | ~spl0_5),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f2415])).
% 55.89/9.30 thf(f2415,plain,(
% 55.89/9.30 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ (cS @ (sK1 @ X0 @ (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0)))))) = $false) | ($true = $false) | ((X0 @ c0) = $false) | (((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ X1) = $true) | ($false = ((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ (cS @ (sK1 @ X0 @ (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0)))))))) ) | ~spl0_5),
% 55.89/9.30 inference(superposition,[status(thm)],[f59,f2382])).
% 55.89/9.30 thf(f2382,plain,(
% 55.89/9.30 ((cNUMBER @ c0) = $true) | ~spl0_5),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f2380])).
% 55.89/9.30 thf(f2380,plain,(
% 55.89/9.30 ((cNUMBER @ ((^[Y0 : $i]: (c0)) @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (c0)) @ Y0))) @ cEVEN))) = $true) | ~spl0_5),
% 55.89/9.30 inference(equality_resolution,[status(thm)],[f2339])).
% 55.89/9.30 thf(f2339,plain,(
% 55.89/9.30 ( ! [X0 : $i > $i] : ((c0 != (X0 @ c0)) | ($true = (cNUMBER @ (X0 @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cEVEN))))) ) | ~spl0_5),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f2298])).
% 55.89/9.30 thf(f2298,plain,(
% 55.89/9.30 ( ! [X0 : $i > $i] : (($true = $false) | ($true = (cNUMBER @ (X0 @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cEVEN)))) | (c0 != (X0 @ c0))) ) | ~spl0_5),
% 55.89/9.30 inference(superposition,[status(thm)],[f399,f11])).
% 55.89/9.30 thf(f11,plain,(
% 55.89/9.30 ((cEVEN @ c0) = $true)),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f10])).
% 55.89/9.30 thf(f399,plain,(
% 55.89/9.30 ( ! [X0 : $i > $i,X1 : $i] : (((cEVEN @ X1) = $false) | ($true = (cNUMBER @ (X0 @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cEVEN)))) | ((X0 @ c0) != X1)) ) | ~spl0_5),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f398])).
% 55.89/9.30 thf(f398,plain,(
% 55.89/9.30 ( ! [X0 : $i > $i,X1 : $i] : (((X0 @ c0) != X1) | (((^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cEVEN)) = $true) | ((cEVEN @ X1) = $false)) ) | ~spl0_5),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f380])).
% 55.89/9.30 thf(f380,plain,(
% 55.89/9.30 ( ! [X0 : $i > $i,X1 : $i] : (((X0 @ c0) != X1) | (((^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ (sK1 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cEVEN)) = $true) | ((cEVEN @ X1) = $false) | ($true = $false)) ) | ~spl0_5),
% 55.89/9.30 inference(constrained_superposition,[status(thm)],[f32,f371])).
% 55.89/9.30 thf(f59,plain,(
% 55.89/9.30 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((X2 @ c0) = $false) | ((X2 @ (cS @ (sK1 @ X1 @ X2))) = $false) | ((X1 @ (cS @ (sK1 @ X1 @ X2))) = $false) | ((X2 @ X3) = $true) | ((X1 @ c0) = $false)) )),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f57])).
% 55.89/9.30 thf(f57,plain,(
% 55.89/9.30 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((X1 @ c0) = $false) | (((X1 @ (cS @ (sK1 @ X1 @ X2))) & (X2 @ (cS @ (sK1 @ X1 @ X2)))) = $false) | ((X2 @ c0) = $false) | ((X2 @ X3) = $true)) )),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f56])).
% 55.89/9.30 thf(f56,plain,(
% 55.89/9.30 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((X2 @ X3) = $true) | ((X1 @ c0) = $false) | ((((X1 @ (sK1 @ X1 @ X2)) & (X2 @ (sK1 @ X1 @ X2))) => ((X1 @ (cS @ (sK1 @ X1 @ X2))) & (X2 @ (cS @ (sK1 @ X1 @ X2))))) = $false) | ((X2 @ c0) = $false)) )),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f55])).
% 55.89/9.30 thf(f55,plain,(
% 55.89/9.30 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (($false = ((^[Y0 : $i]: (((X1 @ Y0) & (X2 @ Y0)) => ((X1 @ (cS @ Y0)) & (X2 @ (cS @ Y0))))) @ (sK1 @ X1 @ X2))) | ((X2 @ X3) = $true) | ((X1 @ c0) = $false) | ((X2 @ c0) = $false)) )),
% 55.89/9.30 inference(sigma_clausification,[status(thm)],[f54])).
% 55.89/9.30 thf(f54,plain,(
% 55.89/9.30 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((X2 @ X3) = $true) | ((X1 @ c0) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (((X1 @ Y0) & (X2 @ Y0)) => ((X1 @ (cS @ Y0)) & (X2 @ (cS @ Y0))))))) | ((X2 @ c0) = $false)) )),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f53])).
% 55.89/9.30 thf(f53,plain,(
% 55.89/9.30 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : ((((!! @ $i @ (^[Y0 : $i]: (((X1 @ Y0) & (X2 @ Y0)) => ((X1 @ (cS @ Y0)) & (X2 @ (cS @ Y0)))))) & (X1 @ c0)) = $false) | ((X2 @ X3) = $true) | ((X2 @ c0) = $false)) )),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f42])).
% 55.89/9.30 thf(f42,plain,(
% 55.89/9.30 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((((!! @ $i @ (^[Y0 : $i]: (((X1 @ Y0) & (X2 @ Y0)) => ((X1 @ (cS @ Y0)) & (X2 @ (cS @ Y0)))))) & (X1 @ c0)) & (X2 @ c0)) = $false) | ((X2 @ X3) = $true)) )),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f41])).
% 55.89/9.30 thf(f41,plain,(
% 55.89/9.30 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (($true = ((X1 @ X3) & (X2 @ X3))) | ((((!! @ $i @ (^[Y0 : $i]: (((X1 @ Y0) & (X2 @ Y0)) => ((X1 @ (cS @ Y0)) & (X2 @ (cS @ Y0)))))) & (X1 @ c0)) & (X2 @ c0)) = $false)) )),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f40])).
% 55.89/9.30 thf(f40,plain,(
% 55.89/9.30 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((((!! @ $i @ (^[Y0 : $i]: (((X1 @ Y0) & (X2 @ Y0)) => ((X1 @ (cS @ Y0)) & (X2 @ (cS @ Y0)))))) & (X1 @ c0)) & (X2 @ c0)) = $false) | (((^[Y0 : $i]: ((X1 @ Y0) & (X2 @ Y0))) @ X3) = $true)) )),
% 55.89/9.30 inference(pi_clausification,[status(thm)],[f39])).
% 55.89/9.30 thf(f39,plain,(
% 55.89/9.30 ( ! [X2 : $i > $o,X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) & (X2 @ Y0))))) | ((((!! @ $i @ (^[Y0 : $i]: (((X1 @ Y0) & (X2 @ Y0)) => ((X1 @ (cS @ Y0)) & (X2 @ (cS @ Y0)))))) & (X1 @ c0)) & (X2 @ c0)) = $false)) )),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f38])).
% 55.89/9.30 thf(f38,plain,(
% 55.89/9.30 ( ! [X2 : $i > $o,X1 : $i > $o] : ((((((!! @ $i @ (^[Y0 : $i]: (((X1 @ Y0) & (X2 @ Y0)) => ((X1 @ (cS @ Y0)) & (X2 @ (cS @ Y0)))))) & (X1 @ c0)) & (X2 @ c0)) => (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) & (X2 @ Y0))))) = $true)) )),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f37])).
% 55.89/9.30 thf(f37,plain,(
% 55.89/9.30 ( ! [X2 : $i > $o,X1 : $i > $o] : ((((^[Y0 : $i > $o]: ((((!! @ $i @ (^[Y1 : $i]: (((X1 @ Y1) & (Y0 @ Y1)) => ((X1 @ (cS @ Y1)) & (Y0 @ (cS @ Y1)))))) & (X1 @ c0)) & (Y0 @ c0)) => (!! @ $i @ (^[Y1 : $i]: ((X1 @ Y1) & (Y0 @ Y1)))))) @ X2) = $true)) )),
% 55.89/9.30 inference(pi_clausification,[status(thm)],[f36])).
% 55.89/9.30 thf(f36,plain,(
% 55.89/9.30 ( ! [X1 : $i > $o] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((((!! @ $i @ (^[Y1 : $i]: (((X1 @ Y1) & (Y0 @ Y1)) => ((X1 @ (cS @ Y1)) & (Y0 @ (cS @ Y1)))))) & (X1 @ c0)) & (Y0 @ c0)) => (!! @ $i @ (^[Y1 : $i]: ((X1 @ Y1) & (Y0 @ Y1))))))))) )),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f35])).
% 55.89/9.30 thf(f35,plain,(
% 55.89/9.30 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((((!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y2) & (Y1 @ Y2)) => ((Y0 @ (cS @ Y2)) & (Y1 @ (cS @ Y2)))))) & (Y0 @ c0)) & (Y1 @ c0)) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2)))))))) @ X1))) )),
% 55.89/9.30 inference(pi_clausification,[status(thm)],[f13])).
% 55.89/9.30 thf(f13,plain,(
% 55.89/9.30 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((((!! @ $i @ (^[Y2 : $i]: (((Y0 @ Y2) & (Y1 @ Y2)) => ((Y0 @ (cS @ Y2)) & (Y1 @ (cS @ Y2)))))) & (Y0 @ c0)) & (Y1 @ c0)) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))))),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f12])).
% 55.89/9.30 thf(f2594,plain,(
% 55.89/9.30 spl0_21 | spl0_14 | ~spl0_5),
% 55.89/9.30 inference(avatar_split_clause,[status(thm)],[f2493,f370,f2555,f2591])).
% 55.89/9.30 thf(f2493,plain,(
% 55.89/9.30 ( ! [X0 : $i > $o,X1 : $i] : (($true = (cNUMBER @ X1)) | ((X0 @ c0) = $false) | ($true = (X0 @ (sK1 @ X0 @ cNUMBER)))) ) | ~spl0_5),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f2492])).
% 55.89/9.30 thf(f2492,plain,(
% 55.89/9.30 ( ! [X0 : $i > $o,X1 : $i] : (($true = (X0 @ (sK1 @ X0 @ (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0)))))) | ((X0 @ c0) = $false) | (((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ X1) = $true)) ) | ~spl0_5),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f2393])).
% 55.89/9.30 thf(f2393,plain,(
% 55.89/9.30 ( ! [X0 : $i > $o,X1 : $i] : (($true = (X0 @ (sK1 @ X0 @ (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0)))))) | ((X0 @ c0) = $false) | (((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ X1) = $true) | ($true = $false)) ) | ~spl0_5),
% 55.89/9.30 inference(superposition,[status(thm)],[f2382,f61])).
% 55.89/9.30 thf(f61,plain,(
% 55.89/9.30 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((X2 @ c0) = $false) | ((X1 @ c0) = $false) | ((X2 @ X3) = $true) | ($true = (X1 @ (sK1 @ X1 @ X2)))) )),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f58])).
% 55.89/9.30 thf(f58,plain,(
% 55.89/9.30 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((X2 @ c0) = $false) | ((X1 @ c0) = $false) | ($true = ((X1 @ (sK1 @ X1 @ X2)) & (X2 @ (sK1 @ X1 @ X2)))) | ((X2 @ X3) = $true)) )),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f56])).
% 55.89/9.30 thf(f2588,plain,(
% 55.89/9.30 spl0_14 | spl0_18 | ~spl0_5),
% 55.89/9.30 inference(avatar_split_clause,[status(thm)],[f2515,f370,f2575,f2555])).
% 55.89/9.30 thf(f2515,plain,(
% 55.89/9.30 ( ! [X0 : $i > $o,X1 : $i] : (($true = (cNUMBER @ (sK1 @ X0 @ cNUMBER))) | ((X0 @ c0) = $false) | ($true = (cNUMBER @ X1))) ) | ~spl0_5),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f2514])).
% 55.89/9.30 thf(f2514,plain,(
% 55.89/9.30 ( ! [X0 : $i > $o,X1 : $i] : ((((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ X1) = $true) | ((X0 @ c0) = $false) | (((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ (sK1 @ X0 @ (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))))) = $true)) ) | ~spl0_5),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f2391])).
% 55.89/9.30 thf(f2391,plain,(
% 55.89/9.30 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ c0) = $false) | (((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ X1) = $true) | ($true = $false) | (((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ (sK1 @ X0 @ (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))))) = $true)) ) | ~spl0_5),
% 55.89/9.30 inference(superposition,[status(thm)],[f2382,f60])).
% 55.89/9.30 thf(f60,plain,(
% 55.89/9.30 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((X2 @ c0) = $false) | ((X2 @ X3) = $true) | ($true = (X2 @ (sK1 @ X1 @ X2))) | ((X1 @ c0) = $false)) )),
% 55.89/9.30 inference(binary_proxy_clausification,[status(thm)],[f58])).
% 55.89/9.30 thf(f373,plain,(
% 55.89/9.30 spl0_5 | spl0_2),
% 55.89/9.30 inference(avatar_split_clause,[status(thm)],[f345,f199,f370])).
% 55.89/9.30 thf(f199,definition,(
% 55.89/9.30 spl0_2 <=> ! [X0 : $i] : ((cEVEN @ X0) = $true)),
% 55.89/9.30 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 55.89/9.30 thf(f345,plain,(
% 55.89/9.30 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ c0) = $false) | ((X0 @ (sK1 @ X0 @ cEVEN)) = $true) | ($true = (cEVEN @ X1))) )),
% 55.89/9.30 inference(beta_eta_normalization,[status(thm)],[f344])).
% 55.89/9.30 thf(f344,plain,(
% 55.89/9.30 ( ! [X0 : $i > $o,X1 : $i] : (($true = (X0 @ (sK1 @ X0 @ (^[Y0 : $i]: (cEVEN @ ((^[Y1 : $i]: (Y1)) @ Y0)))))) | ((X0 @ c0) = $false) | (((^[Y0 : $i]: (cEVEN @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ X1) = $true)) )),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f334])).
% 55.89/9.30 thf(f334,plain,(
% 55.89/9.30 ( ! [X0 : $i > $o,X1 : $i] : (($true = (X0 @ (sK1 @ X0 @ (^[Y0 : $i]: (cEVEN @ ((^[Y1 : $i]: (Y1)) @ Y0)))))) | ((X0 @ c0) = $false) | ($true = $false) | (((^[Y0 : $i]: (cEVEN @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ X1) = $true)) )),
% 55.89/9.30 inference(superposition,[status(thm)],[f11,f61])).
% 55.89/9.30 thf(f225,plain,(
% 55.89/9.30 ~spl0_2),
% 55.89/9.30 inference(avatar_contradiction_clause,[status(thm)],[f224])).
% 55.89/9.30 thf(f224,plain,(
% 55.89/9.30 $false | ~spl0_2),
% 55.89/9.30 inference(trivial_inequality_removal,[status(thm)],[f209])).
% 55.89/9.30 thf(f209,plain,(
% 55.89/9.30 ($true = $false) | ~spl0_2),
% 55.89/9.30 inference(superposition,[status(thm)],[f66,f200])).
% 55.89/9.30 thf(f200,plain,(
% 55.89/9.30 ( ! [X0 : $i] : (((cEVEN @ X0) = $true)) ) | ~spl0_2),
% 51.58/9.30 inference(avatar_component_clause,[status(thm)],[f199])).
% 51.58/9.30 thf(f66,plain,(
% 51.58/9.30 ((cEVEN @ sK2) = $false)),
% 51.58/9.30 inference(trivial_inequality_removal,[status(thm)],[f63])).
% 51.58/9.30 thf(f63,plain,(
% 51.58/9.30 ($true = $false) | ((cEVEN @ sK2) = $false)),
% 51.58/9.30 inference(superposition,[status(thm)],[f32,f62])).
% 51.58/9.30 % SZS output end Proof for DTF2THF_7655
% 51.58/9.30 % (7944)------------------------------
% 51.58/9.30 % (7944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.58/9.30 % (7944)Termination reason: Refutation
% 51.58/9.30
% 51.58/9.30 % (7944)Memory used [KB]: 8059
% 51.58/9.30 % (7944)Time elapsed: 1.227 s
% 51.58/9.30 % (7944)Instructions burned: 2489 (million)
% 51.58/9.30 % (7944)------------------------------
% 51.58/9.30 % (7944)------------------------------
% 51.58/9.30 % (7759)Success in time 7.835 s
%------------------------------------------------------------------------------