TSTP Solution File: ANA122^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA122^1 : TPTP v8.2.0. 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 : Mon May 20 18:40:34 EDT 2024
% Result : Theorem 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 30
% Syntax : Number of formulae : 73 ( 18 unt; 22 typ; 0 def)
% Number of atoms : 265 ( 109 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 627 ( 63 ~; 67 |; 0 &; 479 @)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 101 ( 101 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 20 usr; 8 con; 0-4 aty)
% ( 7 !!; 8 ??; 0 @@+; 0 @@-)
% Number of variables : 146 ( 44 ^ 96 !; 4 ?; 146 :)
% ( 2 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
'type/realax/real': $tType ).
thf(type_def_6,type,
'type/nums/num': $tType ).
thf(func_def_0,type,
'type/realax/real': $tType ).
thf(func_def_1,type,
'type/nums/num': $tType ).
thf(func_def_2,type,
'const/realax/real_pow': 'type/realax/real' > 'type/nums/num' > 'type/realax/real' ).
thf(func_def_3,type,
'const/realax/real_of_num': 'type/nums/num' > 'type/realax/real' ).
thf(func_def_4,type,
'const/realax/real_mul': 'type/realax/real' > 'type/realax/real' > 'type/realax/real' ).
thf(func_def_5,type,
'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num' ).
thf(func_def_6,type,
'const/nums/BIT1': 'type/nums/num' > 'type/nums/num' ).
thf(func_def_7,type,
'const/nums/_0': 'type/nums/num' ).
thf(func_def_8,type,
'const/iterate/sum':
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > 'type/realax/real' ) ).
thf(func_def_9,type,
'const/iterate/polynomial_function': ( 'type/realax/real' > 'type/realax/real' ) > $o ).
thf(func_def_10,type,
'const/iterate/..': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' > $o ).
thf(func_def_21,type,
sK0: 'type/realax/real' ).
thf(func_def_23,type,
sK2: ( 'type/realax/real' > 'type/realax/real' ) > 'type/nums/num' > 'type/realax/real' ).
thf(func_def_24,type,
sK3: ( 'type/realax/real' > 'type/realax/real' ) > 'type/nums/num' ).
thf(func_def_25,type,
sK4: ( 'type/nums/num' > 'type/realax/real' ) > ( 'type/realax/real' > 'type/realax/real' ) > 'type/nums/num' > 'type/realax/real' ).
thf(func_def_26,type,
ph5:
!>[X0: $tType] : X0 ).
thf(func_def_27,type,
sK6: 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ).
thf(func_def_29,type,
sK7: 'type/nums/num' > ( 'type/realax/real' > 'type/realax/real' ) > 'type/nums/num' ).
thf(func_def_30,type,
sK8: 'type/nums/num' > 'type/nums/num' ).
thf(func_def_31,type,
sK9: 'type/realax/real' > ( 'type/realax/real' > 'type/realax/real' ) > ( 'type/realax/real' > 'type/realax/real' ) > 'type/realax/real' > 'type/nums/num' ).
thf(f159,plain,
$false,
inference(avatar_sat_refutation,[],[f118,f131,f158]) ).
thf(f158,plain,
( spl1_2
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f147,f112,f116]) ).
thf(f116,plain,
( spl1_2
<=> ! [X2: 'type/realax/real',X0: 'type/realax/real' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( ( 'const/iterate/polynomial_function' @ X0 )
= $true )
| ( ( X0 @ ( sK4 @ X1 @ X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
!= X2 )
| ( ( X1 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
!= X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
thf(f112,plain,
( spl1_1
<=> ( $true
= ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ ( sK8 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
thf(f147,plain,
( ! [X2: 'type/realax/real',X0: 'type/realax/real' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( ( 'const/iterate/polynomial_function' @ X0 )
= $true )
| ( ( X0 @ ( sK4 @ X1 @ X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
!= X2 )
| ( ( X1 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
!= X2 ) )
| ~ spl1_1 ),
inference(trivial_inequality_removal,[],[f146]) ).
thf(f146,plain,
( ! [X2: 'type/realax/real',X0: 'type/realax/real' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( ( X0 @ ( sK4 @ X1 @ X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
!= X2 )
| ( $true = $false )
| ( ( 'const/iterate/polynomial_function' @ X0 )
= $true )
| ( ( X1 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
!= X2 ) )
| ~ spl1_1 ),
inference(duplicate_literal_removal,[],[f142]) ).
thf(f142,plain,
( ! [X2: 'type/realax/real',X0: 'type/realax/real' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( ( X1 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
!= X2 )
| ( $true = $false )
| ( ( X0 @ ( sK4 @ X1 @ X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
!= X2 )
| ( $true = $false )
| ( ( 'const/iterate/polynomial_function' @ X0 )
= $true ) )
| ~ spl1_1 ),
inference(superposition,[],[f108,f114]) ).
thf(f114,plain,
( ( $true
= ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ ( sK8 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f112]) ).
thf(f108,plain,
! [X2: 'type/realax/real' > 'type/realax/real',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',X1: 'type/realax/real'] :
( ( $false
= ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ ( sK8 @ X3 ) ) )
| ( $true
= ( 'const/iterate/polynomial_function' @ X2 ) )
| ( $false
= ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ X3 @ ( sK8 @ X3 ) ) )
| ( ( X2 @ ( sK4 @ X0 @ X2 @ X3 ) )
!= X1 )
| ( ( X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
!= X1 ) ),
inference(binary_proxy_clausification,[],[f106]) ).
thf(f106,plain,
! [X2: 'type/realax/real' > 'type/realax/real',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',X1: 'type/realax/real'] :
( ( ( X2 @ ( sK4 @ X0 @ X2 @ X3 ) )
!= X1 )
| ( $true
= ( 'const/iterate/polynomial_function' @ X2 ) )
| ( ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ X3 @ ( sK8 @ X3 ) )
!= ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ ( sK8 @ X3 ) ) )
| ( ( X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
!= X1 ) ),
inference(negative_extensionality,[],[f91]) ).
thf(f91,plain,
! [X2: 'type/realax/real' > 'type/realax/real',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ X3 )
!= ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
| ( $true
= ( 'const/iterate/polynomial_function' @ X2 ) )
| ( ( X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
!= X1 )
| ( ( X2 @ ( sK4 @ X0 @ X2 @ X3 ) )
!= X1 ) ),
inference(constrained_superposition,[],[f72,f18]) ).
thf(f18,plain,
! [X0: 'type/realax/real'] :
( ( 'const/realax/real_mul' @ X0 @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
= X0 ),
inference(cnf_transformation,[],[f1]) ).
thf(f1,axiom,
! [X0: 'type/realax/real'] :
( ( 'const/realax/real_mul' @ X0 @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
= X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/realarith/REAL_MUL_RID_') ).
thf(f72,plain,
! [X2: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real'] :
( ( ( 'const/realax/real_mul' @ ( X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) )
!= ( X1 @ ( sK4 @ X0 @ X1 @ X2 ) ) )
| ( $true
= ( 'const/iterate/polynomial_function' @ X1 ) )
| ( ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ X2 )
!= ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) ),
inference(superposition,[],[f67,f14]) ).
thf(f14,plain,
! [X0: 'type/realax/real'] :
( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
= ( 'const/realax/real_pow' @ X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ),
inference(cnf_transformation,[],[f2]) ).
thf(f2,axiom,
! [X0: 'type/realax/real'] :
( ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) )
= ( 'const/realax/real_pow' @ X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/realax/real_pow_0') ).
thf(f67,plain,
! [X2: 'type/realax/real' > 'type/realax/real',X3: 'type/nums/num' > 'type/realax/real',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( ( X2 @ ( sK4 @ X3 @ X2 @ X1 ) )
!= ( 'const/realax/real_mul' @ ( X3 @ X0 ) @ ( 'const/realax/real_pow' @ ( sK4 @ X3 @ X2 @ X1 ) @ X0 ) ) )
| ( $true
= ( 'const/iterate/polynomial_function' @ X2 ) )
| ( ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ X1 )
!= ( 'const/iterate/..' @ X0 @ X0 ) ) ),
inference(beta_eta_normalization,[],[f66]) ).
thf(f66,plain,
! [X2: 'type/realax/real' > 'type/realax/real',X3: 'type/nums/num' > 'type/realax/real',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ X1 )
!= ( 'const/iterate/..' @ X0 @ X0 ) )
| ( $true
= ( 'const/iterate/polynomial_function' @ X2 ) )
| ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X3 @ Y0 ) @ ( 'const/realax/real_pow' @ ( sK4 @ X3 @ X2 @ X1 ) @ Y0 ) )
@ X0 )
!= ( X2 @ ( sK4 @ X3 @ X2 @ X1 ) ) ) ),
inference(equality_resolution,[],[f51]) ).
thf(f51,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num' > 'type/realax/real',X0: 'type/nums/num' > 'type/realax/real',X1: 'type/realax/real' > 'type/realax/real',X4: 'type/nums/num'] :
( ( ( ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X0 @ Y0 ) @ ( 'const/realax/real_pow' @ ( sK4 @ X0 @ X1 @ X2 ) @ Y0 ) ) )
!= X3 )
| ( ( 'const/iterate/..' @ X4 @ X4 )
!= ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ X2 ) )
| ( $true
= ( 'const/iterate/polynomial_function' @ X1 ) )
| ( ( X1 @ ( sK4 @ X0 @ X1 @ X2 ) )
!= ( X3 @ X4 ) ) ),
inference(constrained_superposition,[],[f34,f15]) ).
thf(f15,plain,
! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X1 ) @ X0 )
= ( X0 @ X1 ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f3,axiom,
! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/nums/num'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X1 ) @ X0 )
= ( X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/SUM_SING_NUMSEG_') ).
thf(f34,plain,
! [X2: 'type/nums/num',X0: 'type/realax/real' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ X2 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ Y0 ) @ ( 'const/realax/real_pow' @ ( sK4 @ X1 @ X0 @ X2 ) @ Y0 ) ) )
!= ( X0 @ ( sK4 @ X1 @ X0 @ X2 ) ) )
| ( ( 'const/iterate/polynomial_function' @ X0 )
= $true ) ),
inference(equality_proxy_clausification,[],[f33]) ).
thf(f33,plain,
! [X2: 'type/nums/num',X0: 'type/realax/real' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( $false
= ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ X2 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ Y0 ) @ ( 'const/realax/real_pow' @ ( sK4 @ X1 @ X0 @ X2 ) @ Y0 ) ) )
= ( X0 @ ( sK4 @ X1 @ X0 @ X2 ) ) ) )
| ( ( 'const/iterate/polynomial_function' @ X0 )
= $true ) ),
inference(beta_eta_normalization,[],[f32]) ).
thf(f32,plain,
! [X2: 'type/nums/num',X0: 'type/realax/real' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( ( ^ [Y0: 'type/realax/real'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ X2 )
@ ^ [Y1: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ Y1 ) @ ( 'const/realax/real_pow' @ Y0 @ Y1 ) ) )
= ( X0 @ Y0 ) )
@ ( sK4 @ X1 @ X0 @ X2 ) )
= $false )
| ( ( 'const/iterate/polynomial_function' @ X0 )
= $true ) ),
inference(sigma_clausification,[],[f31]) ).
thf(f31,plain,
! [X2: 'type/nums/num',X0: 'type/realax/real' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( $false
= ( !! @ 'type/realax/real'
@ ^ [Y0: 'type/realax/real'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ X2 )
@ ^ [Y1: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ Y1 ) @ ( 'const/realax/real_pow' @ Y0 @ Y1 ) ) )
= ( X0 @ Y0 ) ) ) )
| ( ( 'const/iterate/polynomial_function' @ X0 )
= $true ) ),
inference(beta_eta_normalization,[],[f30]) ).
thf(f30,plain,
! [X2: 'type/nums/num',X0: 'type/realax/real' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( ( ^ [Y0: 'type/nums/num'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ Y0 )
@ ^ [Y2: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ Y2 ) @ ( 'const/realax/real_pow' @ Y1 @ Y2 ) ) )
= ( X0 @ Y1 ) ) )
@ X2 )
= $false )
| ( ( 'const/iterate/polynomial_function' @ X0 )
= $true ) ),
inference(pi_clausification,[],[f29]) ).
thf(f29,plain,
! [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( ( 'const/iterate/polynomial_function' @ X0 )
= $true )
| ( ( ?? @ 'type/nums/num'
@ ^ [Y0: 'type/nums/num'] :
( !! @ 'type/realax/real'
@ ^ [Y1: 'type/realax/real'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ Y0 )
@ ^ [Y2: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X1 @ Y2 ) @ ( 'const/realax/real_pow' @ Y1 @ Y2 ) ) )
= ( X0 @ Y1 ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f28]) ).
thf(f28,plain,
! [X0: 'type/realax/real' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( ( ^ [Y0: 'type/nums/num' > 'type/realax/real'] :
( ?? @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] :
( !! @ 'type/realax/real'
@ ^ [Y2: 'type/realax/real'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ Y1 )
@ ^ [Y3: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( Y0 @ Y3 ) @ ( 'const/realax/real_pow' @ Y2 @ Y3 ) ) )
= ( X0 @ Y2 ) ) ) )
@ X1 )
= $false )
| ( ( 'const/iterate/polynomial_function' @ X0 )
= $true ) ),
inference(pi_clausification,[],[f19]) ).
thf(f19,plain,
! [X0: 'type/realax/real' > 'type/realax/real'] :
( ( ( 'const/iterate/polynomial_function' @ X0 )
= $true )
| ( ( ?? @ ( 'type/nums/num' > 'type/realax/real' )
@ ^ [Y0: 'type/nums/num' > 'type/realax/real'] :
( ?? @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] :
( !! @ 'type/realax/real'
@ ^ [Y2: 'type/realax/real'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ Y1 )
@ ^ [Y3: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( Y0 @ Y3 ) @ ( 'const/realax/real_pow' @ Y2 @ Y3 ) ) )
= ( X0 @ Y2 ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f17]) ).
thf(f17,plain,
! [X0: 'type/realax/real' > 'type/realax/real'] :
( ( 'const/iterate/polynomial_function' @ X0 )
= ( ?? @ ( 'type/nums/num' > 'type/realax/real' )
@ ^ [Y0: 'type/nums/num' > 'type/realax/real'] :
( ?? @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] :
( !! @ 'type/realax/real'
@ ^ [Y2: 'type/realax/real'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ Y1 )
@ ^ [Y3: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( Y0 @ Y3 ) @ ( 'const/realax/real_pow' @ Y2 @ Y3 ) ) )
= ( X0 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
! [X0: 'type/realax/real' > 'type/realax/real'] :
( ( 'const/iterate/polynomial_function' @ X0 )
= ( ?? @ ( 'type/nums/num' > 'type/realax/real' )
@ ^ [Y0: 'type/nums/num' > 'type/realax/real'] :
( ?? @ 'type/nums/num'
@ ^ [Y1: 'type/nums/num'] :
( !! @ 'type/realax/real'
@ ^ [Y2: 'type/realax/real'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ Y1 )
@ ^ [Y3: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( Y0 @ Y3 ) @ ( 'const/realax/real_pow' @ Y2 @ Y3 ) ) )
= ( X0 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,axiom,
! [X0: 'type/realax/real' > 'type/realax/real'] :
? [X1: 'type/nums/num',X2: 'type/nums/num' > 'type/realax/real'] :
! [X3: 'type/realax/real'] :
( ( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ X1 )
@ ^ [X4: 'type/nums/num'] : ( 'const/realax/real_mul' @ ( X2 @ X4 ) @ ( 'const/realax/real_pow' @ X3 @ X4 ) ) )
= ( X0 @ X3 ) )
= ( 'const/iterate/polynomial_function' @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/polynomial_function_') ).
thf(f131,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f129]) ).
thf(f129,plain,
( $false
| ~ spl1_2 ),
inference(equality_resolution,[],[f122]) ).
thf(f122,plain,
( ! [X0: 'type/nums/num' > 'type/realax/real'] :
( ( X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
!= sK0 )
| ~ spl1_2 ),
inference(equality_resolution,[],[f121]) ).
thf(f121,plain,
( ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/realax/real'] :
( ( sK0 != X1 )
| ( ( X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
!= X1 ) )
| ~ spl1_2 ),
inference(beta_eta_normalization,[],[f120]) ).
thf(f120,plain,
( ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/realax/real'] :
( ( ( ^ [Y0: 'type/realax/real'] : sK0
@ ( sK4 @ X0
@ ^ [Y0: 'type/realax/real'] : sK0
@ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
!= X1 )
| ( ( X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
!= X1 ) )
| ~ spl1_2 ),
inference(trivial_inequality_removal,[],[f119]) ).
thf(f119,plain,
( ! [X0: 'type/nums/num' > 'type/realax/real',X1: 'type/realax/real'] :
( ( $true != $true )
| ( ( ^ [Y0: 'type/realax/real'] : sK0
@ ( sK4 @ X0
@ ^ [Y0: 'type/realax/real'] : sK0
@ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
!= X1 )
| ( ( X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
!= X1 ) )
| ~ spl1_2 ),
inference(superposition,[],[f16,f117]) ).
thf(f117,plain,
( ! [X2: 'type/realax/real',X0: 'type/realax/real' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( ( 'const/iterate/polynomial_function' @ X0 )
= $true )
| ( ( X0 @ ( sK4 @ X1 @ X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
!= X2 )
| ( ( X1 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
!= X2 ) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f116]) ).
thf(f16,plain,
( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : sK0 ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f12]) ).
thf(f12,plain,
( ? [X0: 'type/realax/real'] :
( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : X0 ) )
=> ( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : sK0 ) ) ),
introduced(choice_axiom,[]) ).
thf(f11,plain,
? [X0: 'type/realax/real'] :
( $true
!= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : X0 ) ),
inference(ennf_transformation,[],[f10]) ).
thf(f10,plain,
~ ! [X0: 'type/realax/real'] :
( $true
= ( 'const/iterate/polynomial_function'
@ ^ [Y0: 'type/realax/real'] : X0 ) ),
inference(fool_elimination,[],[f9]) ).
thf(f9,plain,
~ ! [X0: 'type/realax/real'] :
( 'const/iterate/polynomial_function'
@ ^ [X1: 'type/realax/real'] : X0 ),
inference(rectify,[],[f6]) ).
thf(f6,negated_conjecture,
~ ! [X0: 'type/realax/real'] :
( 'const/iterate/polynomial_function'
@ ^ [X1: 'type/realax/real'] : X0 ),
inference(negated_conjecture,[],[f5]) ).
thf(f5,conjecture,
! [X0: 'type/realax/real'] :
( 'const/iterate/polynomial_function'
@ ^ [X1: 'type/realax/real'] : X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/POLYNOMIAL_FUNCTION_CONST_') ).
thf(f118,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f110,f116,f112]) ).
thf(f110,plain,
! [X2: 'type/realax/real',X0: 'type/realax/real' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( $true
= ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ ( sK8 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) )
| ( ( 'const/iterate/polynomial_function' @ X0 )
= $true )
| ( ( X1 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
!= X2 )
| ( ( X0 @ ( sK4 @ X1 @ X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
!= X2 ) ),
inference(trivial_inequality_removal,[],[f109]) ).
thf(f109,plain,
! [X2: 'type/realax/real',X0: 'type/realax/real' > 'type/realax/real',X1: 'type/nums/num' > 'type/realax/real'] :
( ( $true
= ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ ( sK8 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) ) )
| ( ( X1 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
!= X2 )
| ( ( X0 @ ( sK4 @ X1 @ X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) )
!= X2 )
| ( $true != $true )
| ( ( 'const/iterate/polynomial_function' @ X0 )
= $true ) ),
inference(equality_factoring,[],[f107]) ).
thf(f107,plain,
! [X2: 'type/realax/real' > 'type/realax/real',X3: 'type/nums/num',X0: 'type/nums/num' > 'type/realax/real',X1: 'type/realax/real'] :
( ( $true
= ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ ( sK8 @ X3 ) ) )
| ( $true
= ( 'const/iterate/..' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) @ X3 @ ( sK8 @ X3 ) ) )
| ( $true
= ( 'const/iterate/polynomial_function' @ X2 ) )
| ( ( X0 @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) )
!= X1 )
| ( ( X2 @ ( sK4 @ X0 @ X2 @ X3 ) )
!= X1 ) ),
inference(binary_proxy_clausification,[],[f106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ANA122^1 : TPTP v8.2.0. Released v7.0.0.
% 0.06/0.13 % 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
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon May 20 07:45:38 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a TH1_THM_EQU_NAR problem
% 0.12/0.34 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/benchmark/theBenchmark.p
% 0.12/0.36 % (8571)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.36 % (8572)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.36 % (8573)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.12/0.36 % (8574)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.36 % (8575)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.36 % (8568)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.36 % (8571)Instruction limit reached!
% 0.12/0.36 % (8571)------------------------------
% 0.12/0.36 % (8571)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (8573)Refutation not found, incomplete strategy
% 0.12/0.36 % (8573)------------------------------
% 0.12/0.36 % (8573)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (8573)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 % (8573)Memory used [KB]: 5373
% 0.12/0.36 % (8573)Time elapsed: 0.002 s
% 0.12/0.36 % (8573)Instructions burned: 1 (million)
% 0.12/0.36 % (8573)------------------------------
% 0.12/0.36 % (8573)------------------------------
% 0.12/0.36 % (8571)Termination reason: Unknown
% 0.12/0.36 % (8572)Instruction limit reached!
% 0.12/0.36 % (8572)------------------------------
% 0.12/0.36 % (8572)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (8572)Termination reason: Unknown
% 0.12/0.36 % (8572)Termination phase: Saturation
% 0.12/0.36
% 0.12/0.36 % (8572)Memory used [KB]: 1023
% 0.12/0.36 % (8572)Time elapsed: 0.003 s
% 0.12/0.36 % (8572)Instructions burned: 3 (million)
% 0.12/0.36 % (8572)------------------------------
% 0.12/0.36 % (8572)------------------------------
% 0.12/0.36 % (8571)Termination phase: Saturation
% 0.12/0.36
% 0.12/0.36 % (8571)Memory used [KB]: 5373
% 0.12/0.36 % (8571)Time elapsed: 0.003 s
% 0.12/0.36 % (8571)Instructions burned: 2 (million)
% 0.12/0.36 % (8571)------------------------------
% 0.12/0.36 % (8571)------------------------------
% 0.12/0.36 % (8570)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 theBenchmark for (2999ds/27Mi)
% 0.12/0.36 % (8575)Instruction limit reached!
% 0.12/0.36 % (8575)------------------------------
% 0.12/0.36 % (8575)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (8575)Termination reason: Unknown
% 0.12/0.36 % (8575)Termination phase: Saturation
% 0.12/0.36
% 0.12/0.36 % (8575)Memory used [KB]: 5500
% 0.12/0.36 % (8575)Time elapsed: 0.004 s
% 0.12/0.36 % (8575)Instructions burned: 4 (million)
% 0.12/0.36 % (8575)------------------------------
% 0.12/0.36 % (8575)------------------------------
% 0.12/0.36 % (8569)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 theBenchmark for (2999ds/4Mi)
% 0.12/0.37 % (8569)Instruction limit reached!
% 0.12/0.37 % (8569)------------------------------
% 0.12/0.37 % (8569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (8569)Termination reason: Unknown
% 0.12/0.37 % (8569)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (8569)Memory used [KB]: 5500
% 0.12/0.37 % (8569)Time elapsed: 0.004 s
% 0.12/0.37 % (8569)Instructions burned: 5 (million)
% 0.12/0.37 % (8569)------------------------------
% 0.12/0.37 % (8569)------------------------------
% 0.12/0.37 % (8570)Refutation not found, incomplete strategy
% 0.12/0.37 % (8570)------------------------------
% 0.12/0.37 % (8570)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (8570)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.37
% 0.12/0.37
% 0.12/0.37 % (8570)Memory used [KB]: 5500
% 0.12/0.37 % (8570)Time elapsed: 0.008 s
% 0.12/0.37 % (8570)Instructions burned: 8 (million)
% 0.12/0.37 % (8570)------------------------------
% 0.12/0.37 % (8570)------------------------------
% 0.12/0.37 % (8574)Instruction limit reached!
% 0.12/0.37 % (8574)------------------------------
% 0.12/0.37 % (8574)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (8574)Termination reason: Unknown
% 0.12/0.37 % (8574)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (8574)Memory used [KB]: 5628
% 0.12/0.37 % (8574)Time elapsed: 0.011 s
% 0.12/0.37 % (8574)Instructions burned: 19 (million)
% 0.12/0.37 % (8574)------------------------------
% 0.12/0.37 % (8574)------------------------------
% 0.12/0.37 % (8577)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 theBenchmark for (2999ds/15Mi)
% 0.12/0.37 % (8578)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.12/0.37 % (8579)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 theBenchmark for (2999ds/1041Mi)
% 0.12/0.37 % (8578)Instruction limit reached!
% 0.12/0.37 % (8578)------------------------------
% 0.12/0.37 % (8578)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (8578)Termination reason: Unknown
% 0.12/0.38 % (8578)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (8578)Memory used [KB]: 5500
% 0.12/0.38 % (8578)Time elapsed: 0.003 s
% 0.12/0.38 % (8578)Instructions burned: 3 (million)
% 0.12/0.38 % (8578)------------------------------
% 0.12/0.38 % (8578)------------------------------
% 0.19/0.38 % (8576)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 theBenchmark for (2999ds/37Mi)
% 0.19/0.38 % (8582)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 theBenchmark for (2999ds/3Mi)
% 0.19/0.38 % (8580)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.38 % (8577)Refutation not found, incomplete strategy
% 0.19/0.38 % (8577)------------------------------
% 0.19/0.38 % (8577)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38 % (8577)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.38
% 0.19/0.38
% 0.19/0.38 % (8577)Memory used [KB]: 5500
% 0.19/0.38 % (8577)Time elapsed: 0.007 s
% 0.19/0.38 % (8577)Instructions burned: 7 (million)
% 0.19/0.38 % (8577)------------------------------
% 0.19/0.38 % (8577)------------------------------
% 0.19/0.38 % (8581)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.38 % (8582)Instruction limit reached!
% 0.19/0.38 % (8582)------------------------------
% 0.19/0.38 % (8582)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.38 % (8582)Termination reason: Unknown
% 0.19/0.38 % (8582)Termination phase: Saturation
% 0.19/0.38
% 0.19/0.38 % (8582)Memory used [KB]: 5500
% 0.19/0.38 % (8582)Time elapsed: 0.003 s
% 0.19/0.38 % (8582)Instructions burned: 3 (million)
% 0.19/0.38 % (8582)------------------------------
% 0.19/0.38 % (8582)------------------------------
% 0.19/0.39 % (8580)Instruction limit reached!
% 0.19/0.39 % (8580)------------------------------
% 0.19/0.39 % (8580)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39 % (8580)Termination reason: Unknown
% 0.19/0.39 % (8580)Termination phase: Saturation
% 0.19/0.39
% 0.19/0.39 % (8580)Memory used [KB]: 1023
% 0.19/0.39 % (8580)Time elapsed: 0.006 s
% 0.19/0.39 % (8580)Instructions burned: 8 (million)
% 0.19/0.39 % (8580)------------------------------
% 0.19/0.39 % (8580)------------------------------
% 0.19/0.39 % (8583)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 theBenchmark for (2999ds/3Mi)
% 0.19/0.39 % (8583)Instruction limit reached!
% 0.19/0.39 % (8583)------------------------------
% 0.19/0.39 % (8583)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39 % (8583)Termination reason: Unknown
% 0.19/0.39 % (8583)Termination phase: Saturation
% 0.19/0.39
% 0.19/0.39 % (8583)Memory used [KB]: 1023
% 0.19/0.39 % (8583)Time elapsed: 0.003 s
% 0.19/0.39 % (8583)Instructions burned: 3 (million)
% 0.19/0.39 % (8583)------------------------------
% 0.19/0.39 % (8583)------------------------------
% 0.19/0.39 % (8581)Instruction limit reached!
% 0.19/0.39 % (8581)------------------------------
% 0.19/0.39 % (8581)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39 % (8581)Termination reason: Unknown
% 0.19/0.39 % (8581)Termination phase: Saturation
% 0.19/0.39
% 0.19/0.39 % (8581)Memory used [KB]: 5628
% 0.19/0.39 % (8581)Time elapsed: 0.013 s
% 0.19/0.39 % (8581)Instructions burned: 16 (million)
% 0.19/0.39 % (8581)------------------------------
% 0.19/0.39 % (8581)------------------------------
% 0.19/0.39 % (8576)Instruction limit reached!
% 0.19/0.39 % (8576)------------------------------
% 0.19/0.39 % (8576)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39 % (8576)Termination reason: Unknown
% 0.19/0.39 % (8576)Termination phase: Saturation
% 0.19/0.39
% 0.19/0.39 % (8576)Memory used [KB]: 5884
% 0.19/0.39 % (8576)Time elapsed: 0.020 s
% 0.19/0.39 % (8576)Instructions burned: 38 (million)
% 0.19/0.39 % (8576)------------------------------
% 0.19/0.39 % (8576)------------------------------
% 0.19/0.40 % (8585)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.40 % (8585)Instruction limit reached!
% 0.19/0.40 % (8585)------------------------------
% 0.19/0.40 % (8585)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40 % (8585)Termination reason: Unknown
% 0.19/0.40 % (8585)Termination phase: Saturation
% 0.19/0.40
% 0.19/0.40 % (8585)Memory used [KB]: 5500
% 0.19/0.40 % (8585)Time elapsed: 0.003 s
% 0.19/0.40 % (8585)Instructions burned: 3 (million)
% 0.19/0.40 % (8585)------------------------------
% 0.19/0.40 % (8585)------------------------------
% 0.19/0.40 % (8584)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.40 % (8579)Refutation not found, incomplete strategy
% 0.19/0.40 % (8579)------------------------------
% 0.19/0.40 % (8579)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40 % (8579)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 % (8579)Memory used [KB]: 5756
% 0.19/0.40 % (8579)Time elapsed: 0.025 s
% 0.19/0.40 % (8579)Instructions burned: 45 (million)
% 0.19/0.40 % (8579)------------------------------
% 0.19/0.40 % (8579)------------------------------
% 0.19/0.40 % (8584)Refutation not found, incomplete strategy
% 0.19/0.40 % (8584)------------------------------
% 0.19/0.40 % (8584)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40 % (8584)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 % (8584)Memory used [KB]: 5500
% 0.19/0.40 % (8584)Time elapsed: 0.003 s
% 0.19/0.40 % (8584)Instructions burned: 3 (million)
% 0.19/0.40 % (8584)------------------------------
% 0.19/0.40 % (8584)------------------------------
% 0.19/0.40 % (8568)First to succeed.
% 0.19/0.41 % (8586)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.41 % (8587)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.19/0.41 % (8568)Refutation found. Thanks to Tanya!
% 0.19/0.41 % SZS status Theorem for theBenchmark
% 0.19/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.41 % (8568)------------------------------
% 0.19/0.41 % (8568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41 % (8568)Termination reason: Refutation
% 0.19/0.41
% 0.19/0.41 % (8568)Memory used [KB]: 6140
% 0.19/0.41 % (8568)Time elapsed: 0.047 s
% 0.19/0.41 % (8568)Instructions burned: 73 (million)
% 0.19/0.41 % (8568)------------------------------
% 0.19/0.41 % (8568)------------------------------
% 0.19/0.41 % (8567)Success in time 0.054 s
% 0.19/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------