TSTP Solution File: SEV506^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV506^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.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 : Sun May 5 09:43:27 EDT 2024
% Result : Theorem 0.17s 0.42s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 21
% Syntax : Number of formulae : 102 ( 38 unt; 15 typ; 0 def)
% Number of atoms : 610 ( 223 equ; 0 cnn)
% Maximal formula atoms : 5 ( 7 avg)
% Number of connectives : 1106 ( 42 ~; 66 |; 32 &; 849 @)
% ( 2 <=>; 49 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 88 ( 88 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 15 usr; 9 con; 0-3 aty)
% ( 66 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 194 ( 80 ^ 109 !; 0 ?; 194 :)
% ( 5 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_6,type,
'type/nums/num': $tType ).
thf(func_def_0,type,
'type/nums/num': $tType ).
thf(func_def_1,type,
'const/sets/IN':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).
thf(func_def_2,type,
'const/sets/FINITE':
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num' ).
thf(func_def_4,type,
'const/nums/_0': 'type/nums/num' ).
thf(func_def_5,type,
'const/iterate/nsum':
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/nums/num' ) > 'type/nums/num' ) ).
thf(func_def_6,type,
'const/iterate/..': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' > $o ).
thf(func_def_7,type,
'const/arith/<=': 'type/nums/num' > 'type/nums/num' > $o ).
thf(func_def_22,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_23,type,
sK2: 'type/nums/num' ).
thf(func_def_24,type,
sK3: 'type/nums/num' ).
thf(func_def_25,type,
sK4: 'type/nums/num' > 'type/nums/num' ).
thf(func_def_26,type,
sK5: 'type/nums/num' ).
thf(func_def_27,type,
sK6:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/nums/num' ) > X0 ) ).
thf(f503,plain,
$false,
inference(avatar_sat_refutation,[],[f77,f406,f502]) ).
thf(f502,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f501]) ).
thf(f501,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f486,f419]) ).
thf(f419,plain,
( ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
!= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) @ sK4 ) )
| ~ spl0_4 ),
inference(equality_proxy_clausification,[],[f76]) ).
thf(f76,plain,
( ( ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) @ sK4 ) )
= $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f75]) ).
thf(f75,plain,
( spl0_4
<=> ( ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) @ sK4 ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f486,plain,
( ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) @ sK4 ) )
| ~ spl0_4 ),
inference(equality_proxy_clausification,[],[f479]) ).
thf(f479,plain,
( ( $true
= ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) @ sK4 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f478]) ).
thf(f478,plain,
( ( $true
= ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) @ sK4 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
| ( $false = $true )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f473,f23]) ).
thf(f23,plain,
! [X2: 'type/nums/num',X1: 'type/nums/num'] :
( $true
= ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X1 ) ) ),
inference(beta_eta_normalization,[],[f22]) ).
thf(f22,plain,
! [X2: 'type/nums/num',X1: 'type/nums/num'] :
( $true
= ( ^ [Y0: 'type/nums/num'] : ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ Y0 @ X1 ) )
@ X2 ) ),
inference(pi_clausification,[],[f21]) ).
thf(f21,plain,
! [X1: 'type/nums/num'] :
( $true
= ( !! @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] : ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ Y0 @ X1 ) ) ) ),
inference(beta_eta_normalization,[],[f20]) ).
thf(f20,plain,
! [X1: 'type/nums/num'] :
( $true
= ( ^ [Y0: 'type/nums/num'] :
( !! @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] : ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ Y1 @ Y0 ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f18]) ).
thf(f18,plain,
( ( !! @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( !! @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] : ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ Y1 @ Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( ( !! @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( !! @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] : ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ Y1 @ Y0 ) ) ) )
= $true ),
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] : ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X0: 'type/nums/num',X1: 'type/nums/num'] : ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.GM25Zmq1Q6/Vampire---4.8_16234','thm/iterate/FINITE_NUMSEG_') ).
thf(f473,plain,
( ( $true
= ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) @ sK4 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
| ( $false
= ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f459]) ).
thf(f459,plain,
( ( $true
= ( ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) @ sK4 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
| ( $false
= ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) ) )
| ( $false = $true )
| ~ spl0_4 ),
inference(superposition,[],[f418,f379]) ).
thf(f379,plain,
! [X0: $tType,X2: X0 > 'type/nums/num',X1: X0 > $o] :
( ( ( ( 'const/sets/IN' @ X0 @ ( sK6 @ X0 @ X1 @ X2 ) @ X1 )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( X2 @ ( sK6 @ X0 @ X1 @ X2 ) ) ) )
= $false )
| ( ( 'const/sets/FINITE' @ X0 @ X1 )
= $false )
| ( $true
= ( ( 'const/iterate/nsum' @ X0 @ X1 @ X2 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
inference(beta_eta_normalization,[],[f366]) ).
thf(f366,plain,
! [X0: $tType,X2: X0 > 'type/nums/num',X1: X0 > $o] :
( ( $true
= ( ( 'const/iterate/nsum' @ X0 @ X1 @ X2 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
| ( $false
= ( ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ X1 )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( X2 @ Y0 ) ) )
@ ( sK6 @ X0 @ X1 @ X2 ) ) )
| ( ( 'const/sets/FINITE' @ X0 @ X1 )
= $false ) ),
inference(sigma_clausification,[],[f127]) ).
thf(f127,plain,
! [X0: $tType,X2: X0 > 'type/nums/num',X1: X0 > $o] :
( ( $false
= ( !! @ X0
@ ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ X1 )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( X2 @ Y0 ) ) ) ) )
| ( $true
= ( ( 'const/iterate/nsum' @ X0 @ X1 @ X2 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
| ( ( 'const/sets/FINITE' @ X0 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f113]) ).
thf(f113,plain,
! [X0: $tType,X2: X0 > 'type/nums/num',X1: X0 > $o] :
( ( ( !! @ X0
@ ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ X1 )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( X2 @ Y0 ) ) ) )
= ( ( 'const/iterate/nsum' @ X0 @ X1 @ X2 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
| ( ( 'const/sets/FINITE' @ X0 @ X1 )
= $false ) ),
inference(equality_proxy_clausification,[],[f39]) ).
thf(f39,plain,
! [X0: $tType,X2: X0 > 'type/nums/num',X1: X0 > $o] :
( ( ( ( !! @ X0
@ ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ X1 )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( X2 @ Y0 ) ) ) )
= ( ( 'const/iterate/nsum' @ X0 @ X1 @ X2 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
= $true )
| ( ( 'const/sets/FINITE' @ X0 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f38]) ).
thf(f38,plain,
! [X0: $tType,X2: X0 > 'type/nums/num',X1: X0 > $o] :
( $true
= ( ( 'const/sets/FINITE' @ X0 @ X1 )
=> ( ( !! @ X0
@ ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ X1 )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( X2 @ Y0 ) ) ) )
= ( ( 'const/iterate/nsum' @ X0 @ X1 @ X2 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ) ),
inference(beta_eta_normalization,[],[f37]) ).
thf(f37,plain,
! [X0: $tType,X2: X0 > 'type/nums/num',X1: X0 > $o] :
( $true
= ( ^ [Y0: X0 > 'type/nums/num'] :
( ( 'const/sets/FINITE' @ X0 @ X1 )
=> ( ( !! @ X0
@ ^ [Y1: X0] :
( ( 'const/sets/IN' @ X0 @ Y1 @ X1 )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( Y0 @ Y1 ) ) ) )
= ( ( 'const/iterate/nsum' @ X0 @ X1 @ Y0 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f36]) ).
thf(f36,plain,
! [X0: $tType,X1: X0 > $o] :
( $true
= ( !! @ ( X0 > 'type/nums/num' )
@ ^ [Y0: X0 > 'type/nums/num'] :
( ( 'const/sets/FINITE' @ X0 @ X1 )
=> ( ( !! @ X0
@ ^ [Y1: X0] :
( ( 'const/sets/IN' @ X0 @ Y1 @ X1 )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( Y0 @ Y1 ) ) ) )
= ( ( 'const/iterate/nsum' @ X0 @ X1 @ Y0 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f35]) ).
thf(f35,plain,
! [X0: $tType,X1: X0 > $o] :
( $true
= ( ^ [Y0: X0 > $o] :
( !! @ ( X0 > 'type/nums/num' )
@ ^ [Y1: X0 > 'type/nums/num'] :
( ( 'const/sets/FINITE' @ X0 @ Y0 )
=> ( ( !! @ X0
@ ^ [Y2: X0] :
( ( 'const/sets/IN' @ X0 @ Y2 @ Y0 )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( Y1 @ Y2 ) ) ) )
= ( ( 'const/iterate/nsum' @ X0 @ Y0 @ Y1 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f16]) ).
thf(f16,plain,
! [X0: $tType] :
( $true
= ( !! @ ( X0 > $o )
@ ^ [Y0: X0 > $o] :
( !! @ ( X0 > 'type/nums/num' )
@ ^ [Y1: X0 > 'type/nums/num'] :
( ( 'const/sets/FINITE' @ X0 @ Y0 )
=> ( ( !! @ X0
@ ^ [Y2: X0] :
( ( 'const/sets/IN' @ X0 @ Y2 @ Y0 )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( Y1 @ Y2 ) ) ) )
= ( ( 'const/iterate/nsum' @ X0 @ Y0 @ Y1 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
! [X0: $tType] :
( $true
= ( !! @ ( X0 > $o )
@ ^ [Y0: X0 > $o] :
( !! @ ( X0 > 'type/nums/num' )
@ ^ [Y1: X0 > 'type/nums/num'] :
( ( 'const/sets/FINITE' @ X0 @ Y0 )
=> ( ( !! @ X0
@ ^ [Y2: X0] :
( ( 'const/sets/IN' @ X0 @ Y2 @ Y0 )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( Y1 @ Y2 ) ) ) )
= ( ( 'const/iterate/nsum' @ X0 @ Y0 @ Y1 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ) ) ) ),
inference(closure,[],[f8]) ).
thf(f8,plain,
! [X0: $tType] :
( $true
= ( !! @ ( X0 > $o )
@ ^ [Y0: X0 > $o] :
( !! @ ( X0 > 'type/nums/num' )
@ ^ [Y1: X0 > 'type/nums/num'] :
( ( 'const/sets/FINITE' @ X0 @ Y0 )
=> ( ( !! @ X0
@ ^ [Y2: X0] :
( ( 'const/sets/IN' @ X0 @ Y2 @ Y0 )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( Y1 @ Y2 ) ) ) )
= ( ( 'const/iterate/nsum' @ X0 @ Y0 @ Y1 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
! [X0: $tType,X1: X0 > 'type/nums/num',X2: X0 > $o] :
( ( 'const/sets/FINITE' @ X0 @ X2 )
=> ! [X3: X0] :
( ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( X1 @ X3 ) ) )
= ( ( 'const/iterate/nsum' @ X0 @ X2 @ X1 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X0: $tType,X1: X0 > 'type/nums/num',X2: X0 > $o] :
( ( 'const/sets/FINITE' @ X0 @ X2 )
=> ! [X3: X0] :
( ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( X1 @ X3 ) ) )
= ( ( 'const/iterate/nsum' @ X0 @ X2 @ X1 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GM25Zmq1Q6/Vampire---4.8_16234','thm/iterate/NSUM_EQ_0_IFF_') ).
thf(f418,plain,
( ! [X1: 'type/nums/num'] :
( ( ( 'const/sets/IN' @ 'type/nums/num' @ X1 @ ( 'const/iterate/..' @ sK3 @ sK2 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ X1 ) ) )
= $true )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f417,f30]) ).
thf(f30,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X1: 'type/nums/num'] :
( ( 'const/sets/IN' @ 'type/nums/num' @ X1 @ ( 'const/iterate/..' @ X3 @ X2 ) )
= ( ( 'const/arith/<=' @ X1 @ X2 )
& ( 'const/arith/<=' @ X3 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f29]) ).
thf(f29,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X1: 'type/nums/num'] :
( $true
= ( ( ( 'const/arith/<=' @ X1 @ X2 )
& ( 'const/arith/<=' @ X3 @ X1 ) )
= ( 'const/sets/IN' @ 'type/nums/num' @ X1 @ ( 'const/iterate/..' @ X3 @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f28]) ).
thf(f28,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X1: 'type/nums/num'] :
( $true
= ( ^ [Y0: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ X1 @ X2 )
& ( 'const/arith/<=' @ Y0 @ X1 ) )
= ( 'const/sets/IN' @ 'type/nums/num' @ X1 @ ( 'const/iterate/..' @ Y0 @ X2 ) ) )
@ X3 ) ),
inference(pi_clausification,[],[f27]) ).
thf(f27,plain,
! [X2: 'type/nums/num',X1: 'type/nums/num'] :
( ( !! @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ X1 @ X2 )
& ( 'const/arith/<=' @ Y0 @ X1 ) )
= ( 'const/sets/IN' @ 'type/nums/num' @ X1 @ ( 'const/iterate/..' @ Y0 @ X2 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f26]) ).
thf(f26,plain,
! [X2: 'type/nums/num',X1: 'type/nums/num'] :
( ( ^ [Y0: 'type/nums/num'] :
( !! @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ X1 @ Y0 )
& ( 'const/arith/<=' @ Y1 @ X1 ) )
= ( 'const/sets/IN' @ 'type/nums/num' @ X1 @ ( 'const/iterate/..' @ Y1 @ Y0 ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f25]) ).
thf(f25,plain,
! [X1: 'type/nums/num'] :
( $true
= ( !! @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( !! @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ X1 @ Y0 )
& ( 'const/arith/<=' @ Y1 @ X1 ) )
= ( 'const/sets/IN' @ 'type/nums/num' @ X1 @ ( 'const/iterate/..' @ Y1 @ Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f24]) ).
thf(f24,plain,
! [X1: 'type/nums/num'] :
( $true
= ( ^ [Y0: 'type/nums/num'] :
( !! @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] :
( !! @ 'type/nums/num'
@ ^ [Y2: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y0 @ Y1 )
& ( 'const/arith/<=' @ Y2 @ Y0 ) )
= ( 'const/sets/IN' @ 'type/nums/num' @ Y0 @ ( 'const/iterate/..' @ Y2 @ Y1 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f17]) ).
thf(f17,plain,
( $true
= ( !! @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( !! @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] :
( !! @ 'type/nums/num'
@ ^ [Y2: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y0 @ Y1 )
& ( 'const/arith/<=' @ Y2 @ Y0 ) )
= ( 'const/sets/IN' @ 'type/nums/num' @ Y0 @ ( 'const/iterate/..' @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
( $true
= ( !! @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( !! @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] :
( !! @ 'type/nums/num'
@ ^ [Y2: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y0 @ Y1 )
& ( 'const/arith/<=' @ Y2 @ Y0 ) )
= ( 'const/sets/IN' @ 'type/nums/num' @ Y0 @ ( 'const/iterate/..' @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f9,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num'] :
( ( 'const/arith/<=' @ X0 @ X2 )
& ( ( 'const/arith/<=' @ X2 @ X1 )
= ( 'const/sets/IN' @ 'type/nums/num' @ X2 @ ( 'const/iterate/..' @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num'] :
( ( 'const/arith/<=' @ X0 @ X2 )
& ( ( 'const/arith/<=' @ X2 @ X1 )
= ( 'const/sets/IN' @ 'type/nums/num' @ X2 @ ( 'const/iterate/..' @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GM25Zmq1Q6/Vampire---4.8_16234','thm/iterate/IN_NUMSEG_') ).
thf(f417,plain,
( ! [X1: 'type/nums/num'] :
( ( ( ( 'const/arith/<=' @ X1 @ sK2 )
& ( 'const/arith/<=' @ sK3 @ X1 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ X1 ) ) )
= $true )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f416]) ).
thf(f416,plain,
( ! [X1: 'type/nums/num'] :
( $true
= ( ^ [Y0: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y0 @ sK2 )
& ( 'const/arith/<=' @ sK3 @ Y0 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ Y0 ) ) )
@ X1 ) )
| ~ spl0_4 ),
inference(pi_clausification,[],[f410]) ).
thf(f410,plain,
( ( ( !! @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y0 @ sK2 )
& ( 'const/arith/<=' @ sK3 @ Y0 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ Y0 ) ) ) )
!= $false )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f61,f76]) ).
thf(f61,plain,
( ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) @ sK4 ) )
!= ( !! @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y0 @ sK2 )
& ( 'const/arith/<=' @ sK3 @ Y0 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ Y0 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f60]) ).
thf(f60,plain,
( $false
= ( ( !! @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y0 @ sK2 )
& ( 'const/arith/<=' @ sK3 @ Y0 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ Y0 ) ) ) )
= ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) @ sK4 ) ) ) ),
inference(beta_eta_normalization,[],[f59]) ).
thf(f59,plain,
( $false
= ( ^ [Y0: 'type/nums/num' > 'type/nums/num'] :
( ( !! @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y1 @ sK2 )
& ( 'const/arith/<=' @ sK3 @ Y1 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( Y0 @ Y1 ) ) ) )
= ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) @ Y0 ) ) )
@ sK4 ) ),
inference(sigma_clausification,[],[f58]) ).
thf(f58,plain,
( $false
= ( !! @ ( 'type/nums/num' > 'type/nums/num' )
@ ^ [Y0: 'type/nums/num' > 'type/nums/num'] :
( ( !! @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y1 @ sK2 )
& ( 'const/arith/<=' @ sK3 @ Y1 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( Y0 @ Y1 ) ) ) )
= ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f57]) ).
thf(f57,plain,
( $false
= ( ^ [Y0: 'type/nums/num'] :
( !! @ ( 'type/nums/num' > 'type/nums/num' )
@ ^ [Y1: 'type/nums/num' > 'type/nums/num'] :
( ( !! @ 'type/nums/num'
@ ^ [Y2: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y2 @ sK2 )
& ( 'const/arith/<=' @ Y0 @ Y2 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( Y1 @ Y2 ) ) ) )
= ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ Y0 @ sK2 ) @ Y1 ) ) ) )
@ sK3 ) ),
inference(sigma_clausification,[],[f56]) ).
thf(f56,plain,
( ( !! @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( !! @ ( 'type/nums/num' > 'type/nums/num' )
@ ^ [Y1: 'type/nums/num' > 'type/nums/num'] :
( ( !! @ 'type/nums/num'
@ ^ [Y2: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y2 @ sK2 )
& ( 'const/arith/<=' @ Y0 @ Y2 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( Y1 @ Y2 ) ) ) )
= ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ Y0 @ sK2 ) @ Y1 ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f55]) ).
thf(f55,plain,
( ( ^ [Y0: 'type/nums/num'] :
( !! @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] :
( !! @ ( 'type/nums/num' > 'type/nums/num' )
@ ^ [Y2: 'type/nums/num' > 'type/nums/num'] :
( ( !! @ 'type/nums/num'
@ ^ [Y3: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y3 @ Y0 )
& ( 'const/arith/<=' @ Y1 @ Y3 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( Y2 @ Y3 ) ) ) )
= ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ Y1 @ Y0 ) @ Y2 ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[],[f47]) ).
thf(f47,plain,
( ( !! @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( !! @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] :
( !! @ ( 'type/nums/num' > 'type/nums/num' )
@ ^ [Y2: 'type/nums/num' > 'type/nums/num'] :
( ( !! @ 'type/nums/num'
@ ^ [Y3: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y3 @ Y0 )
& ( 'const/arith/<=' @ Y1 @ Y3 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( Y2 @ Y3 ) ) ) )
= ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ Y1 @ Y0 ) @ Y2 ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f19]) ).
thf(f19,plain,
( $true
= ( ~ ( !! @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( !! @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] :
( !! @ ( 'type/nums/num' > 'type/nums/num' )
@ ^ [Y2: 'type/nums/num' > 'type/nums/num'] :
( ( !! @ 'type/nums/num'
@ ^ [Y3: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y3 @ Y0 )
& ( 'const/arith/<=' @ Y1 @ Y3 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( Y2 @ Y3 ) ) ) )
= ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ Y1 @ Y0 ) @ Y2 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
( $true
= ( ~ ( !! @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( !! @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] :
( !! @ ( 'type/nums/num' > 'type/nums/num' )
@ ^ [Y2: 'type/nums/num' > 'type/nums/num'] :
( ( !! @ 'type/nums/num'
@ ^ [Y3: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y3 @ Y0 )
& ( 'const/arith/<=' @ Y1 @ Y3 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( Y2 @ Y3 ) ) ) )
= ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ Y1 @ Y0 ) @ Y2 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f13]) ).
thf(f13,plain,
~ ! [X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num',X3: 'type/nums/num'] :
( ( ( ( 'const/arith/<=' @ X1 @ X3 )
& ( 'const/arith/<=' @ X3 @ X2 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( X0 @ X3 ) ) )
= ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ X0 ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,negated_conjecture,
~ ! [X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num',X3: 'type/nums/num'] :
( ( ( ( 'const/arith/<=' @ X1 @ X3 )
& ( 'const/arith/<=' @ X3 @ X2 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( X0 @ X3 ) ) )
= ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ X0 ) ) ),
inference(negated_conjecture,[],[f4]) ).
thf(f4,conjecture,
! [X0: 'type/nums/num' > 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num',X3: 'type/nums/num'] :
( ( ( ( 'const/arith/<=' @ X1 @ X3 )
& ( 'const/arith/<=' @ X3 @ X2 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( X0 @ X3 ) ) )
= ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GM25Zmq1Q6/Vampire---4.8_16234','thm/iterate/NSUM_EQ_0_IFF_NUMSEG_') ).
thf(f406,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f405]) ).
thf(f405,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f393,f109]) ).
thf(f109,plain,
( ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
!= ( sK4 @ sK5 ) )
| ~ spl0_3 ),
inference(equality_proxy_clausification,[],[f103]) ).
thf(f103,plain,
( ( $false
= ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ sK5 ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f102]) ).
thf(f102,plain,
( ( $false
= ( ( 'const/sets/IN' @ 'type/nums/num' @ sK5 @ ( 'const/iterate/..' @ sK3 @ sK2 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ sK5 ) ) ) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f101,f30]) ).
thf(f101,plain,
( ( ( ( ( 'const/arith/<=' @ sK5 @ sK2 )
& ( 'const/arith/<=' @ sK3 @ sK5 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ sK5 ) ) )
= $false )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f100]) ).
thf(f100,plain,
( ( ( ^ [Y0: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y0 @ sK2 )
& ( 'const/arith/<=' @ sK3 @ Y0 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ Y0 ) ) )
@ sK5 )
= $false )
| ~ spl0_3 ),
inference(sigma_clausification,[],[f73]) ).
thf(f73,plain,
( ( ( !! @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y0 @ sK2 )
& ( 'const/arith/<=' @ sK3 @ Y0 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ Y0 ) ) ) )
= $false )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f72]) ).
thf(f72,plain,
( spl0_3
<=> ( ( !! @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y0 @ sK2 )
& ( 'const/arith/<=' @ sK3 @ Y0 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ Y0 ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f393,plain,
( ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ sK5 ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f390]) ).
thf(f390,plain,
( ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ sK5 ) )
| ( $false = $true )
| ~ spl0_3 ),
inference(superposition,[],[f104,f348]) ).
thf(f348,plain,
( ! [X0: 'type/nums/num'] :
( ( ( 'const/sets/IN' @ 'type/nums/num' @ X0 @ ( 'const/iterate/..' @ sK3 @ sK2 ) )
= $false )
| ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ X0 ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f347]) ).
thf(f347,plain,
( ! [X0: 'type/nums/num'] :
( ( ( 'const/sets/IN' @ 'type/nums/num' @ X0 @ ( 'const/iterate/..' @ sK3 @ sK2 ) )
= $false )
| ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ X0 ) )
| ( $false = $true ) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f346,f23]) ).
thf(f346,plain,
( ! [X0: 'type/nums/num'] :
( ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ X0 ) )
| ( $false
= ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) ) )
| ( ( 'const/sets/IN' @ 'type/nums/num' @ X0 @ ( 'const/iterate/..' @ sK3 @ sK2 ) )
= $false ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f345]) ).
thf(f345,plain,
( ! [X0: 'type/nums/num'] :
( ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ X0 ) )
| ( ( 'const/sets/IN' @ 'type/nums/num' @ X0 @ ( 'const/iterate/..' @ sK3 @ sK2 ) )
= $false )
| ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
!= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
| ( $false
= ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) ) ) )
| ~ spl0_3 ),
inference(superposition,[],[f327,f87]) ).
thf(f87,plain,
( ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) @ sK4 ) )
| ~ spl0_3 ),
inference(equality_proxy_clausification,[],[f84]) ).
thf(f84,plain,
( ( ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) @ sK4 ) )
!= $false )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f61,f73]) ).
thf(f327,plain,
! [X0: $tType,X2: X0 > 'type/nums/num',X3: X0,X1: X0 > $o] :
( ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
!= ( 'const/iterate/nsum' @ X0 @ X1 @ X2 ) )
| ( ( 'const/sets/FINITE' @ X0 @ X1 )
= $false )
| ( $false
= ( 'const/sets/IN' @ X0 @ X3 @ X1 ) )
| ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( X2 @ X3 ) ) ),
inference(equality_proxy_clausification,[],[f301]) ).
thf(f301,plain,
! [X0: $tType,X2: X0 > 'type/nums/num',X3: X0,X1: X0 > $o] :
( ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
!= ( 'const/iterate/nsum' @ X0 @ X1 @ X2 ) )
| ( ( 'const/sets/FINITE' @ X0 @ X1 )
= $false )
| ( $true
= ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( X2 @ X3 ) ) )
| ( $false
= ( 'const/sets/IN' @ X0 @ X3 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f258]) ).
thf(f258,plain,
! [X0: $tType,X2: X0 > 'type/nums/num',X3: X0,X1: X0 > $o] :
( ( $false
= ( ( 'const/iterate/nsum' @ X0 @ X1 @ X2 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
| ( $true
= ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( X2 @ X3 ) ) )
| ( $false
= ( 'const/sets/IN' @ X0 @ X3 @ X1 ) )
| ( ( 'const/sets/FINITE' @ X0 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f239]) ).
thf(f239,plain,
! [X0: $tType,X2: X0 > 'type/nums/num',X3: X0,X1: X0 > $o] :
( ( $true
= ( ( 'const/sets/IN' @ X0 @ X3 @ X1 )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( X2 @ X3 ) ) ) )
| ( $false
= ( ( 'const/iterate/nsum' @ X0 @ X1 @ X2 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
| ( ( 'const/sets/FINITE' @ X0 @ X1 )
= $false ) ),
inference(beta_eta_normalization,[],[f232]) ).
thf(f232,plain,
! [X0: $tType,X2: X0 > 'type/nums/num',X3: X0,X1: X0 > $o] :
( ( $false
= ( ( 'const/iterate/nsum' @ X0 @ X1 @ X2 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
| ( $true
= ( ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ X1 )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( X2 @ Y0 ) ) )
@ X3 ) )
| ( ( 'const/sets/FINITE' @ X0 @ X1 )
= $false ) ),
inference(pi_clausification,[],[f126]) ).
thf(f126,plain,
! [X0: $tType,X2: X0 > 'type/nums/num',X1: X0 > $o] :
( ( $true
= ( !! @ X0
@ ^ [Y0: X0] :
( ( 'const/sets/IN' @ X0 @ Y0 @ X1 )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( X2 @ Y0 ) ) ) ) )
| ( $false
= ( ( 'const/iterate/nsum' @ X0 @ X1 @ X2 )
= ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
| ( ( 'const/sets/FINITE' @ X0 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f113]) ).
thf(f104,plain,
( ( ( 'const/sets/IN' @ 'type/nums/num' @ sK5 @ ( 'const/iterate/..' @ sK3 @ sK2 ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[],[f102]) ).
thf(f77,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f63,f75,f72]) ).
thf(f63,plain,
( ( ( !! @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ Y0 @ sK2 )
& ( 'const/arith/<=' @ sK3 @ Y0 ) )
=> ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( sK4 @ Y0 ) ) ) )
= $false )
| ( ( ( 'const/nums/NUMERAL' @ 'const/nums/_0' )
= ( 'const/iterate/nsum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK2 ) @ sK4 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEV506^1 : TPTP v8.1.2. Released v7.0.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 12:32:21 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a TH1_THM_EQU_NAR problem
% 0.12/0.33 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.GM25Zmq1Q6/Vampire---4.8_16234
% 0.12/0.35 % (16348)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.12/0.35 % (16349)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.12/0.35 % (16346)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.12/0.35 % (16345)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.12/0.35 % (16347)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.12/0.35 % (16344)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 Vampire---4 for (2999ds/27Mi)
% 0.12/0.35 % (16345)Instruction limit reached!
% 0.12/0.35 % (16345)------------------------------
% 0.12/0.35 % (16345)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (16345)Termination reason: Unknown
% 0.12/0.35 % (16345)Termination phase: Property scanning
% 0.12/0.35 % (16346)Instruction limit reached!
% 0.12/0.35 % (16346)------------------------------
% 0.12/0.35 % (16346)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (16346)Termination reason: Unknown
% 0.12/0.35 % (16346)Termination phase: Saturation
% 0.12/0.35
% 0.12/0.35 % (16346)Memory used [KB]: 895
% 0.12/0.35 % (16346)Time elapsed: 0.003 s
% 0.12/0.35 % (16346)Instructions burned: 3 (million)
% 0.12/0.35 % (16346)------------------------------
% 0.12/0.35 % (16346)------------------------------
% 0.12/0.35
% 0.12/0.35 % (16345)Memory used [KB]: 895
% 0.12/0.35 % (16345)Time elapsed: 0.002 s
% 0.12/0.35 % (16345)Instructions burned: 2 (million)
% 0.12/0.35 % (16345)------------------------------
% 0.12/0.35 % (16345)------------------------------
% 0.12/0.35 % (16342)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.12/0.35 % (16349)Instruction limit reached!
% 0.12/0.35 % (16349)------------------------------
% 0.12/0.35 % (16349)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (16349)Termination reason: Unknown
% 0.12/0.35 % (16349)Termination phase: Saturation
% 0.12/0.35
% 0.12/0.35 % (16349)Memory used [KB]: 5500
% 0.12/0.35 % (16349)Time elapsed: 0.004 s
% 0.12/0.35 % (16349)Instructions burned: 4 (million)
% 0.12/0.35 % (16349)------------------------------
% 0.12/0.35 % (16349)------------------------------
% 0.12/0.35 % (16343)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 Vampire---4 for (2999ds/4Mi)
% 0.12/0.35 % (16347)Refutation not found, incomplete strategy
% 0.12/0.35 % (16347)------------------------------
% 0.12/0.35 % (16347)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (16347)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.35
% 0.12/0.35
% 0.12/0.35 % (16347)Memory used [KB]: 5500
% 0.12/0.35 % (16347)Time elapsed: 0.005 s
% 0.12/0.35 % (16347)Instructions burned: 7 (million)
% 0.12/0.35 % (16347)------------------------------
% 0.12/0.35 % (16347)------------------------------
% 0.12/0.35 % (16343)Instruction limit reached!
% 0.12/0.35 % (16343)------------------------------
% 0.12/0.35 % (16343)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (16343)Termination reason: Unknown
% 0.12/0.35 % (16343)Termination phase: Saturation
% 0.12/0.35
% 0.12/0.35 % (16343)Memory used [KB]: 5500
% 0.12/0.35 % (16343)Time elapsed: 0.003 s
% 0.12/0.35 % (16343)Instructions burned: 4 (million)
% 0.12/0.35 % (16343)------------------------------
% 0.12/0.35 % (16343)------------------------------
% 0.12/0.35 % (16348)Instruction limit reached!
% 0.12/0.35 % (16348)------------------------------
% 0.12/0.35 % (16348)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (16348)Termination reason: Unknown
% 0.12/0.35 % (16348)Termination phase: Saturation
% 0.12/0.35
% 0.12/0.35 % (16348)Memory used [KB]: 5628
% 0.12/0.35 % (16348)Time elapsed: 0.011 s
% 0.12/0.35 % (16348)Instructions burned: 18 (million)
% 0.12/0.35 % (16348)------------------------------
% 0.12/0.35 % (16348)------------------------------
% 0.12/0.36 % (16350)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 Vampire---4 for (2999ds/37Mi)
% 0.12/0.36 % (16351)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 Vampire---4 for (2999ds/15Mi)
% 0.12/0.36 % (16352)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.12/0.36 % (16344)Instruction limit reached!
% 0.12/0.36 % (16344)------------------------------
% 0.12/0.36 % (16344)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (16344)Termination reason: Unknown
% 0.12/0.36 % (16344)Termination phase: Saturation
% 0.12/0.36
% 0.12/0.36 % (16344)Memory used [KB]: 5628
% 0.12/0.36 % (16344)Time elapsed: 0.016 s
% 0.12/0.36 % (16344)Instructions burned: 27 (million)
% 0.12/0.36 % (16344)------------------------------
% 0.12/0.36 % (16344)------------------------------
% 0.12/0.36 % (16352)Instruction limit reached!
% 0.12/0.36 % (16352)------------------------------
% 0.12/0.36 % (16352)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (16352)Termination reason: Unknown
% 0.12/0.36 % (16352)Termination phase: Saturation
% 0.12/0.36
% 0.12/0.36 % (16352)Memory used [KB]: 5500
% 0.12/0.36 % (16352)Time elapsed: 0.003 s
% 0.12/0.36 % (16352)Instructions burned: 3 (million)
% 0.12/0.36 % (16352)------------------------------
% 0.12/0.36 % (16352)------------------------------
% 0.12/0.36 % (16353)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 Vampire---4 for (2999ds/1041Mi)
% 0.12/0.36 % (16354)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.12/0.37 % (16351)Instruction limit reached!
% 0.12/0.37 % (16351)------------------------------
% 0.12/0.37 % (16351)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (16351)Termination reason: Unknown
% 0.12/0.37 % (16351)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (16351)Memory used [KB]: 5756
% 0.12/0.37 % (16351)Time elapsed: 0.010 s
% 0.12/0.37 % (16351)Instructions burned: 16 (million)
% 0.12/0.37 % (16351)------------------------------
% 0.12/0.37 % (16351)------------------------------
% 0.12/0.37 % (16355)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.12/0.37 % (16354)Instruction limit reached!
% 0.12/0.37 % (16354)------------------------------
% 0.12/0.37 % (16354)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (16354)Termination reason: Unknown
% 0.12/0.37 % (16354)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (16354)Memory used [KB]: 1023
% 0.12/0.37 % (16354)Time elapsed: 0.006 s
% 0.12/0.37 % (16354)Instructions burned: 8 (million)
% 0.12/0.37 % (16354)------------------------------
% 0.12/0.37 % (16354)------------------------------
% 0.12/0.37 % (16357)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 Vampire---4 for (2999ds/3Mi)
% 0.12/0.37 % (16356)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 Vampire---4 for (2999ds/3Mi)
% 0.12/0.37 % (16357)Instruction limit reached!
% 0.12/0.37 % (16357)------------------------------
% 0.12/0.37 % (16357)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (16357)Termination reason: Unknown
% 0.12/0.37 % (16357)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (16357)Memory used [KB]: 1023
% 0.12/0.37 % (16357)Time elapsed: 0.003 s
% 0.12/0.37 % (16356)Instruction limit reached!
% 0.12/0.37 % (16356)------------------------------
% 0.12/0.37 % (16356)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (16356)Termination reason: Unknown
% 0.12/0.37 % (16356)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (16356)Memory used [KB]: 1023
% 0.12/0.37 % (16356)Time elapsed: 0.003 s
% 0.12/0.37 % (16356)Instructions burned: 3 (million)
% 0.12/0.37 % (16356)------------------------------
% 0.12/0.37 % (16356)------------------------------
% 0.12/0.37 % (16357)Instructions burned: 3 (million)
% 0.12/0.37 % (16357)------------------------------
% 0.12/0.37 % (16357)------------------------------
% 0.12/0.38 % (16355)Instruction limit reached!
% 0.12/0.38 % (16355)------------------------------
% 0.12/0.38 % (16355)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (16355)Termination reason: Unknown
% 0.12/0.38 % (16355)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (16355)Memory used [KB]: 5756
% 0.12/0.38 % (16355)Time elapsed: 0.010 s
% 0.12/0.38 % (16355)Instructions burned: 16 (million)
% 0.12/0.38 % (16355)------------------------------
% 0.12/0.38 % (16355)------------------------------
% 0.12/0.38 % (16350)Instruction limit reached!
% 0.12/0.38 % (16350)------------------------------
% 0.12/0.38 % (16350)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (16350)Termination reason: Unknown
% 0.12/0.38 % (16350)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (16350)Memory used [KB]: 5756
% 0.12/0.38 % (16350)Time elapsed: 0.021 s
% 0.12/0.38 % (16350)Instructions burned: 38 (million)
% 0.12/0.38 % (16350)------------------------------
% 0.12/0.38 % (16350)------------------------------
% 0.12/0.38 % (16358)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.12/0.38 % (16359)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.12/0.38 % (16359)Instruction limit reached!
% 0.12/0.38 % (16359)------------------------------
% 0.12/0.38 % (16359)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (16359)Termination reason: Unknown
% 0.12/0.38 % (16359)Termination phase: Property scanning
% 0.12/0.38
% 0.12/0.38 % (16359)Memory used [KB]: 895
% 0.12/0.38 % (16359)Time elapsed: 0.002 s
% 0.12/0.38 % (16359)Instructions burned: 3 (million)
% 0.12/0.38 % (16359)------------------------------
% 0.12/0.38 % (16359)------------------------------
% 0.12/0.38 % (16358)Refutation not found, incomplete strategy
% 0.12/0.38 % (16358)------------------------------
% 0.12/0.38 % (16358)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (16358)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 % (16358)Memory used [KB]: 5500
% 0.12/0.38 % (16358)Time elapsed: 0.003 s
% 0.12/0.38 % (16358)Instructions burned: 3 (million)
% 0.12/0.38 % (16358)------------------------------
% 0.12/0.38 % (16358)------------------------------
% 0.12/0.39 % (16361)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.12/0.39 % (16360)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.12/0.39 % (16362)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.12/0.39 % (16363)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.12/0.39 % (16360)Instruction limit reached!
% 0.12/0.39 % (16360)------------------------------
% 0.12/0.39 % (16360)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (16360)Termination reason: Unknown
% 0.12/0.39 % (16360)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (16360)Memory used [KB]: 5500
% 0.12/0.39 % (16360)Time elapsed: 0.004 s
% 0.12/0.39 % (16360)Instructions burned: 5 (million)
% 0.12/0.39 % (16360)------------------------------
% 0.12/0.39 % (16360)------------------------------
% 0.12/0.39 % (16364)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 Vampire---4 for (2999ds/902Mi)
% 0.12/0.39 % (16363)Instruction limit reached!
% 0.12/0.39 % (16363)------------------------------
% 0.12/0.39 % (16363)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (16363)Termination reason: Unknown
% 0.12/0.39 % (16363)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (16363)Memory used [KB]: 5500
% 0.12/0.39 % (16363)Time elapsed: 0.004 s
% 0.12/0.39 % (16363)Instructions burned: 6 (million)
% 0.12/0.39 % (16363)------------------------------
% 0.12/0.39 % (16363)------------------------------
% 0.12/0.39 % (16365)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 Vampire---4 for (2999ds/21Mi)
% 0.12/0.39 % (16364)Refutation not found, incomplete strategy
% 0.12/0.39 % (16364)------------------------------
% 0.12/0.39 % (16364)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (16364)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.39
% 0.12/0.39
% 0.12/0.39 % (16364)Memory used [KB]: 5500
% 0.12/0.39 % (16364)Time elapsed: 0.003 s
% 0.12/0.39 % (16364)Instructions burned: 3 (million)
% 0.12/0.39 % (16364)------------------------------
% 0.12/0.39 % (16364)------------------------------
% 0.12/0.40 % (16361)Instruction limit reached!
% 0.12/0.40 % (16361)------------------------------
% 0.12/0.40 % (16361)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.40 % (16361)Termination reason: Unknown
% 0.12/0.40 % (16361)Termination phase: Saturation
% 0.12/0.40
% 0.12/0.40 % (16361)Memory used [KB]: 5628
% 0.12/0.40 % (16361)Time elapsed: 0.011 s
% 0.12/0.40 % (16361)Instructions burned: 18 (million)
% 0.12/0.40 % (16361)------------------------------
% 0.12/0.40 % (16361)------------------------------
% 0.12/0.40 % (16366)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.12/0.40 % (16365)Instruction limit reached!
% 0.12/0.40 % (16365)------------------------------
% 0.12/0.40 % (16365)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.40 % (16367)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 Vampire---4 for (2999ds/6Mi)
% 0.12/0.40 % (16365)Termination reason: Unknown
% 0.12/0.40 % (16365)Termination phase: Saturation
% 0.12/0.40
% 0.12/0.40 % (16365)Memory used [KB]: 5628
% 0.12/0.40 % (16365)Time elapsed: 0.013 s
% 0.12/0.40 % (16365)Instructions burned: 21 (million)
% 0.12/0.41 % (16365)------------------------------
% 0.12/0.41 % (16365)------------------------------
% 0.17/0.41 % (16368)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.17/0.41 % (16366)Instruction limit reached!
% 0.17/0.41 % (16366)------------------------------
% 0.17/0.41 % (16366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (16366)Termination reason: Unknown
% 0.17/0.41 % (16366)Termination phase: Saturation
% 0.17/0.41
% 0.17/0.41 % (16366)Memory used [KB]: 5500
% 0.17/0.41 % (16366)Time elapsed: 0.005 s
% 0.17/0.41 % (16366)Instructions burned: 6 (million)
% 0.17/0.41 % (16366)------------------------------
% 0.17/0.41 % (16366)------------------------------
% 0.17/0.41 % (16367)Instruction limit reached!
% 0.17/0.41 % (16367)------------------------------
% 0.17/0.41 % (16367)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.41 % (16367)Termination reason: Unknown
% 0.17/0.41 % (16367)Termination phase: Saturation
% 0.17/0.41
% 0.17/0.41 % (16367)Memory used [KB]: 5500
% 0.17/0.41 % (16367)Time elapsed: 0.005 s
% 0.17/0.41 % (16367)Instructions burned: 7 (million)
% 0.17/0.41 % (16367)------------------------------
% 0.17/0.41 % (16367)------------------------------
% 0.17/0.41 % (16369)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 Vampire---4 for (2999ds/779Mi)
% 0.17/0.42 % (16353)First to succeed.
% 0.17/0.42 % (16370)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 Vampire---4 for (2999ds/19Mi)
% 0.17/0.42 % (16371)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.17/0.42 % (16372)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.17/0.42 % (16353)Refutation found. Thanks to Tanya!
% 0.17/0.42 % SZS status Theorem for Vampire---4
% 0.17/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.42 % (16353)------------------------------
% 0.17/0.42 % (16353)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.42 % (16353)Termination reason: Refutation
% 0.17/0.42
% 0.17/0.42 % (16353)Memory used [KB]: 6012
% 0.17/0.42 % (16353)Time elapsed: 0.059 s
% 0.17/0.42 % (16353)Instructions burned: 107 (million)
% 0.17/0.42 % (16353)------------------------------
% 0.17/0.42 % (16353)------------------------------
% 0.17/0.42 % (16341)Success in time 0.078 s
% 0.17/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------