TSTP Solution File: SEV514^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV514^1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.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 09:43:29 EDT 2024
% Result : Theorem 0.18s 0.35s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of formulae : 54 ( 6 unt; 17 typ; 0 def)
% Number of atoms : 317 ( 88 equ; 0 cnn)
% Maximal formula atoms : 8 ( 8 avg)
% Number of connectives : 625 ( 48 ~; 35 |; 20 &; 505 @)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 46 ( 46 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 87 ( 0 ^ 72 !; 11 ?; 87 :)
% ( 4 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_6,type,
'type/nums/num': $tType ).
thf(type_def_7,type,
'type/realax/real': $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/sets/IN':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
'const/realax/real_of_num': 'type/nums/num' > 'type/realax/real' ).
thf(func_def_4,type,
'const/realax/real_le': 'type/realax/real' > 'type/realax/real' > $o ).
thf(func_def_5,type,
'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num' ).
thf(func_def_6,type,
'const/nums/_0': 'type/nums/num' ).
thf(func_def_7,type,
'const/iterate/sum':
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > 'type/realax/real' ) ).
thf(func_def_8,type,
'const/iterate/..': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' > $o ).
thf(func_def_9,type,
'const/arith/<=': 'type/nums/num' > 'type/nums/num' > $o ).
thf(func_def_13,type,
sK0: 'type/nums/num' ).
thf(func_def_14,type,
sK1: 'type/nums/num' ).
thf(func_def_15,type,
sK2: 'type/nums/num' > 'type/realax/real' ).
thf(func_def_16,type,
sK3:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > X0 ) ).
thf(func_def_18,type,
ph5:
!>[X0: $tType] : X0 ).
thf(f39,plain,
$false,
inference(subsumption_resolution,[],[f38,f35]) ).
thf(f35,plain,
( $true
= ( 'const/arith/<=' @ sK0 @ ( sK3 @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 ) @ sK2 ) ) ),
inference(trivial_inequality_removal,[],[f33]) ).
thf(f33,plain,
( ( $true
= ( 'const/arith/<=' @ sK0 @ ( sK3 @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 ) @ sK2 ) ) )
| ( $true != $true ) ),
inference(superposition,[],[f25,f31]) ).
thf(f31,plain,
( $true
= ( 'const/sets/IN' @ 'type/nums/num' @ ( sK3 @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 ) @ sK2 ) @ ( 'const/iterate/..' @ sK0 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f30]) ).
thf(f30,plain,
( ( $true
= ( 'const/sets/IN' @ 'type/nums/num' @ ( sK3 @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 ) @ sK2 ) @ ( 'const/iterate/..' @ sK0 @ sK1 ) ) )
| ( $true != $true ) ),
inference(superposition,[],[f21,f27]) ).
thf(f27,plain,
! [X0: $tType,X2: X0 > $o,X1: X0 > 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) )
= $true )
| ( ( 'const/sets/IN' @ X0 @ ( sK3 @ X0 @ X2 @ X1 ) @ X2 )
= $true ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f20,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( ( ( ( 'const/sets/IN' @ X0 @ ( sK3 @ X0 @ X2 @ X1 ) @ X2 )
= $true )
& ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( X1 @ ( sK3 @ X0 @ X2 @ X1 ) ) )
!= $true ) )
| ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) )
= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f14,f19]) ).
thf(f19,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( ? [X3: X0] :
( ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
= $true )
& ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( X1 @ X3 ) )
!= $true ) )
=> ( ( ( 'const/sets/IN' @ X0 @ ( sK3 @ X0 @ X2 @ X1 ) @ X2 )
= $true )
& ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( X1 @ ( sK3 @ X0 @ X2 @ X1 ) ) )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f14,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( ? [X3: X0] :
( ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
= $true )
& ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( X1 @ X3 ) )
!= $true ) )
| ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) )
= $true ) ),
inference(ennf_transformation,[],[f9]) ).
thf(f9,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( ! [X3: X0] :
( ( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
= $true )
=> ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( X1 @ X3 ) )
= $true ) )
=> ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) )
= $true ) ),
inference(fool_elimination,[],[f8]) ).
thf(f8,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( ! [X3: X0] :
( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
=> ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( X1 @ X3 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > $o] :
( ! [X3: X0] :
( ( 'const/sets/IN' @ X0 @ X3 @ X2 )
=> ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( X1 @ X3 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.c51yGXK7jg/Vampire---4.8_25749','thm/iterate/SUM_POS_LE_') ).
thf(f21,plain,
( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 ) @ sK2 ) )
!= $true ),
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
( ! [X3: 'type/nums/num'] :
( ( $true
!= ( 'const/arith/<=' @ X3 @ sK1 ) )
| ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( sK2 @ X3 ) )
= $true )
| ( ( 'const/arith/<=' @ sK0 @ X3 )
!= $true ) )
& ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 ) @ sK2 ) )
!= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f13,f15]) ).
thf(f15,plain,
( ? [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num' > 'type/realax/real'] :
( ! [X3: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ X3 @ X1 )
!= $true )
| ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( X2 @ X3 ) )
= $true )
| ( ( 'const/arith/<=' @ X0 @ X3 )
!= $true ) )
& ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 ) @ X2 ) )
!= $true ) )
=> ( ! [X3: 'type/nums/num'] :
( ( $true
!= ( 'const/arith/<=' @ X3 @ sK1 ) )
| ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( sK2 @ X3 ) )
= $true )
| ( ( 'const/arith/<=' @ sK0 @ X3 )
!= $true ) )
& ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 ) @ sK2 ) )
!= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f13,plain,
? [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num' > 'type/realax/real'] :
( ! [X3: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ X3 @ X1 )
!= $true )
| ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( X2 @ X3 ) )
= $true )
| ( ( 'const/arith/<=' @ X0 @ X3 )
!= $true ) )
& ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 ) @ X2 ) )
!= $true ) ),
inference(flattening,[],[f12]) ).
thf(f12,plain,
? [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num' > 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 ) @ X2 ) )
!= $true )
& ! [X3: 'type/nums/num'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( X2 @ X3 ) )
= $true )
| ( ( 'const/arith/<=' @ X0 @ X3 )
!= $true )
| ( ( 'const/arith/<=' @ X3 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[],[f11]) ).
thf(f11,plain,
~ ! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num' > 'type/realax/real'] :
( ! [X3: 'type/nums/num'] :
( ( ( ( 'const/arith/<=' @ X0 @ X3 )
= $true )
& ( ( 'const/arith/<=' @ X3 @ X1 )
= $true ) )
=> ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( X2 @ X3 ) )
= $true ) )
=> ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 ) @ X2 ) )
= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f10,plain,
~ ! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num' > 'type/realax/real'] :
( ! [X3: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ X0 @ X3 )
& ( 'const/arith/<=' @ X3 @ X1 ) )
=> ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( X2 @ X3 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 ) @ X2 ) ) ),
inference(rectify,[],[f4]) ).
thf(f4,negated_conjecture,
~ ! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num' > 'type/realax/real'] :
( ! [X3: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ X0 @ X3 )
& ( 'const/arith/<=' @ X3 @ X1 ) )
=> ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( X2 @ X3 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 ) @ X2 ) ) ),
inference(negated_conjecture,[],[f3]) ).
thf(f3,conjecture,
! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num' > 'type/realax/real'] :
( ! [X3: 'type/nums/num'] :
( ( ( 'const/arith/<=' @ X0 @ X3 )
& ( 'const/arith/<=' @ X3 @ X1 ) )
=> ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( X2 @ X3 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 ) @ X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.c51yGXK7jg/Vampire---4.8_25749','thm/iterate/SUM_POS_LE_NUMSEG_') ).
thf(f25,plain,
! [X2: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/sets/IN' @ 'type/nums/num' @ X2 @ ( 'const/iterate/..' @ X0 @ X1 ) )
!= $true )
| ( ( 'const/arith/<=' @ X0 @ X2 )
= $true ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num'] :
( ( ( ( ( 'const/arith/<=' @ X0 @ X2 )
= $true )
& ( ( 'const/arith/<=' @ X2 @ X1 )
= $true ) )
| ( ( 'const/sets/IN' @ 'type/nums/num' @ X2 @ ( 'const/iterate/..' @ X0 @ X1 ) )
!= $true ) )
& ( ( ( 'const/sets/IN' @ 'type/nums/num' @ X2 @ ( 'const/iterate/..' @ X0 @ X1 ) )
= $true )
| ( ( 'const/arith/<=' @ X0 @ X2 )
!= $true )
| ( ( 'const/arith/<=' @ X2 @ X1 )
!= $true ) ) ),
inference(flattening,[],[f17]) ).
thf(f17,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num'] :
( ( ( ( ( 'const/arith/<=' @ X0 @ X2 )
= $true )
& ( ( 'const/arith/<=' @ X2 @ X1 )
= $true ) )
| ( ( 'const/sets/IN' @ 'type/nums/num' @ X2 @ ( 'const/iterate/..' @ X0 @ X1 ) )
!= $true ) )
& ( ( ( 'const/sets/IN' @ 'type/nums/num' @ X2 @ ( 'const/iterate/..' @ X0 @ X1 ) )
= $true )
| ( ( 'const/arith/<=' @ X0 @ X2 )
!= $true )
| ( ( 'const/arith/<=' @ X2 @ X1 )
!= $true ) ) ),
inference(nnf_transformation,[],[f7]) ).
thf(f7,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num'] :
( ( ( ( 'const/arith/<=' @ X0 @ X2 )
= $true )
& ( ( 'const/arith/<=' @ X2 @ X1 )
= $true ) )
<=> ( ( 'const/sets/IN' @ 'type/nums/num' @ X2 @ ( 'const/iterate/..' @ X0 @ X1 ) )
= $true ) ),
inference(fool_elimination,[],[f6]) ).
thf(f6,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num'] :
( ( ( 'const/sets/IN' @ 'type/nums/num' @ X2 @ ( 'const/iterate/..' @ X0 @ X1 ) )
= ( 'const/arith/<=' @ X2 @ X1 ) )
& ( 'const/arith/<=' @ X0 @ X2 ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num'] :
( ( ( 'const/sets/IN' @ 'type/nums/num' @ X2 @ ( 'const/iterate/..' @ X0 @ X1 ) )
= ( 'const/arith/<=' @ X2 @ X1 ) )
& ( 'const/arith/<=' @ X0 @ X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.c51yGXK7jg/Vampire---4.8_25749','thm/iterate/IN_NUMSEG_') ).
thf(f38,plain,
( $true
!= ( 'const/arith/<=' @ sK0 @ ( sK3 @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 ) @ sK2 ) ) ),
inference(subsumption_resolution,[],[f37,f34]) ).
thf(f34,plain,
( $true
= ( 'const/arith/<=' @ ( sK3 @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 ) @ sK2 ) @ sK1 ) ),
inference(trivial_inequality_removal,[],[f32]) ).
thf(f32,plain,
( ( $true != $true )
| ( $true
= ( 'const/arith/<=' @ ( sK3 @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 ) @ sK2 ) @ sK1 ) ) ),
inference(superposition,[],[f24,f31]) ).
thf(f24,plain,
! [X2: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num'] :
( ( ( 'const/sets/IN' @ 'type/nums/num' @ X2 @ ( 'const/iterate/..' @ X0 @ X1 ) )
!= $true )
| ( ( 'const/arith/<=' @ X2 @ X1 )
= $true ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f37,plain,
( ( $true
!= ( 'const/arith/<=' @ ( sK3 @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 ) @ sK2 ) @ sK1 ) )
| ( $true
!= ( 'const/arith/<=' @ sK0 @ ( sK3 @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 ) @ sK2 ) ) ) ),
inference(trivial_inequality_removal,[],[f36]) ).
thf(f36,plain,
( ( $true
!= ( 'const/arith/<=' @ ( sK3 @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 ) @ sK2 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( 'const/arith/<=' @ sK0 @ ( sK3 @ 'type/nums/num' @ ( 'const/iterate/..' @ sK0 @ sK1 ) @ sK2 ) ) ) ),
inference(superposition,[],[f21,f29]) ).
thf(f29,plain,
! [X0: 'type/nums/num' > $o] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ 'type/nums/num' @ X0 @ sK2 ) )
= $true )
| ( ( 'const/arith/<=' @ sK0 @ ( sK3 @ 'type/nums/num' @ X0 @ sK2 ) )
!= $true )
| ( ( 'const/arith/<=' @ ( sK3 @ 'type/nums/num' @ X0 @ sK2 ) @ sK1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f28]) ).
thf(f28,plain,
! [X0: 'type/nums/num' > $o] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ 'type/nums/num' @ X0 @ sK2 ) )
= $true )
| ( ( 'const/arith/<=' @ ( sK3 @ 'type/nums/num' @ X0 @ sK2 ) @ sK1 )
!= $true )
| ( ( 'const/arith/<=' @ sK0 @ ( sK3 @ 'type/nums/num' @ X0 @ sK2 ) )
!= $true )
| ( $true != $true ) ),
inference(superposition,[],[f26,f22]) ).
thf(f22,plain,
! [X3: 'type/nums/num'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( sK2 @ X3 ) )
= $true )
| ( ( 'const/arith/<=' @ sK0 @ X3 )
!= $true )
| ( $true
!= ( 'const/arith/<=' @ X3 @ sK1 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f26,plain,
! [X0: $tType,X2: X0 > $o,X1: X0 > 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( X1 @ ( sK3 @ X0 @ X2 @ X1 ) ) )
!= $true )
| ( ( 'const/realax/real_le' @ ( 'const/realax/real_of_num' @ ( 'const/nums/NUMERAL' @ 'const/nums/_0' ) ) @ ( 'const/iterate/sum' @ X0 @ X2 @ X1 ) )
= $true ) ),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEV514^1 : TPTP v8.1.2. Released v7.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33 % Computer : n021.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 12:08:43 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/sandbox/tmp/tmp.c51yGXK7jg/Vampire---4.8_25749
% 0.18/0.34 % (25857)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)
% 0.18/0.35 % (25859)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)
% 0.18/0.35 % (25860)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.18/0.35 % (25861)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)
% 0.18/0.35 % (25858)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)
% 0.18/0.35 % (25862)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)
% 0.18/0.35 % (25863)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.18/0.35 % (25864)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)
% 0.18/0.35 % (25860)Instruction limit reached!
% 0.18/0.35 % (25860)------------------------------
% 0.18/0.35 % (25860)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35 % (25860)Termination reason: Unknown
% 0.18/0.35 % (25861)Instruction limit reached!
% 0.18/0.35 % (25861)------------------------------
% 0.18/0.35 % (25861)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35 % (25860)Termination phase: Saturation
% 0.18/0.35
% 0.18/0.35 % (25860)Memory used [KB]: 5373
% 0.18/0.35 % (25860)Time elapsed: 0.003 s
% 0.18/0.35 % (25860)Instructions burned: 2 (million)
% 0.18/0.35 % (25860)------------------------------
% 0.18/0.35 % (25860)------------------------------
% 0.18/0.35 % (25861)Termination reason: Unknown
% 0.18/0.35 % (25861)Termination phase: Saturation
% 0.18/0.35
% 0.18/0.35 % (25861)Memory used [KB]: 895
% 0.18/0.35 % (25861)Time elapsed: 0.003 s
% 0.18/0.35 % (25861)Instructions burned: 3 (million)
% 0.18/0.35 % (25861)------------------------------
% 0.18/0.35 % (25861)------------------------------
% 0.18/0.35 % (25864)Instruction limit reached!
% 0.18/0.35 % (25864)------------------------------
% 0.18/0.35 % (25864)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35 % (25864)Termination reason: Unknown
% 0.18/0.35 % (25864)Termination phase: Saturation
% 0.18/0.35
% 0.18/0.35 % (25864)Memory used [KB]: 5500
% 0.18/0.35 % (25864)Time elapsed: 0.003 s
% 0.18/0.35 % (25864)Instructions burned: 3 (million)
% 0.18/0.35 % (25864)------------------------------
% 0.18/0.35 % (25864)------------------------------
% 0.18/0.35 % (25858)Instruction limit reached!
% 0.18/0.35 % (25858)------------------------------
% 0.18/0.35 % (25858)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35 % (25858)Termination reason: Unknown
% 0.18/0.35 % (25858)Termination phase: Saturation
% 0.18/0.35
% 0.18/0.35 % (25858)Memory used [KB]: 5500
% 0.18/0.35 % (25858)Time elapsed: 0.004 s
% 0.18/0.35 % (25858)Instructions burned: 6 (million)
% 0.18/0.35 % (25858)------------------------------
% 0.18/0.35 % (25858)------------------------------
% 0.18/0.35 % (25862)First to succeed.
% 0.18/0.35 % (25862)Refutation found. Thanks to Tanya!
% 0.18/0.35 % SZS status Theorem for Vampire---4
% 0.18/0.35 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.35 % (25862)------------------------------
% 0.18/0.35 % (25862)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.35 % (25862)Termination reason: Refutation
% 0.18/0.35
% 0.18/0.35 % (25862)Memory used [KB]: 5500
% 0.18/0.35 % (25862)Time elapsed: 0.006 s
% 0.18/0.35 % (25862)Instructions burned: 5 (million)
% 0.18/0.35 % (25862)------------------------------
% 0.18/0.35 % (25862)------------------------------
% 0.18/0.35 % (25856)Success in time 0.017 s
% 0.18/0.35 % Vampire---4.8 exiting
%------------------------------------------------------------------------------