TSTP Solution File: SEV508^1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV508^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n029.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 Jun 24 16:04:11 EDT 2024
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 71 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 631 ( 172 equ; 0 cnn)
% Maximal formula atoms : 11 ( 8 avg)
% Number of connectives : 1069 ( 106 ~; 92 |; 41 &; 806 @)
% ( 4 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 61 ( 61 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 6 con; 0-4 aty)
% Number of variables : 137 ( 0 ^ 112 !; 25 ?; 137 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_6,type,
'type/realax/real': $tType ).
thf(type_def_7,type,
sK0: $tType ).
thf(func_def_0,type,
'type/realax/real': $tType ).
thf(func_def_1,type,
'const/trivia/I':
!>[X0: $tType] : ( X0 > X0 ) ).
thf(func_def_2,type,
'const/sets/IN':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
'const/sets/FINITE':
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_4,type,
'const/sets/EMPTY':
!>[X0: $tType] : ( X0 > $o ) ).
thf(func_def_5,type,
'const/realax/real_lt': 'type/realax/real' > 'type/realax/real' > $o ).
thf(func_def_6,type,
'const/realax/real_le': 'type/realax/real' > 'type/realax/real' > $o ).
thf(func_def_7,type,
'const/iterate/sum':
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > 'type/realax/real' ) ).
thf(func_def_11,type,
sK1: sK0 > 'type/realax/real' ).
thf(func_def_12,type,
sK2: sK0 > 'type/realax/real' ).
thf(func_def_13,type,
sK3: sK0 > $o ).
thf(func_def_14,type,
sK4:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_15,type,
sK5:
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > ( X0 > 'type/realax/real' ) > X0 ) ).
thf(func_def_16,type,
sP6: $o > $o ).
thf(func_def_18,type,
ph8:
!>[X0: $tType] : X0 ).
thf(func_def_19,type,
sK9: sK0 ).
thf(f114,plain,
$false,
inference(avatar_sat_refutation,[],[f87,f101,f105,f113]) ).
thf(f113,plain,
~ spl7_7,
inference(avatar_contradiction_clause,[],[f112]) ).
thf(f112,plain,
( $false
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f111,f34]) ).
thf(f34,plain,
( sK3 != 'const/sets/EMPTY' ) @ sK0,
inference(cnf_transformation,[],[f22]) ).
thf(f22,plain,
( ( ( sK3 != 'const/sets/EMPTY' ) @ sK0 )
& ( ( 'const/sets/FINITE' @ sK0 @ sK3 )
= $true )
& ( $true
!= ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK2 ) ) )
& ! [X4: sK0] :
( ( $true
= ( 'const/realax/real_lt' @ ( sK1 @ X4 ) @ ( sK2 @ X4 ) ) )
| ( $true
!= ( 'const/sets/IN' @ sK0 @ X4 @ sK3 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f17,f21]) ).
thf(f21,plain,
( ? [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > 'type/realax/real',X3: X0 > $o] :
( ( 'const/sets/EMPTY' @ ( X0 != X3 ) )
& ( ( 'const/sets/FINITE' @ X0 @ X3 )
= $true )
& ( ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) )
!= $true )
& ! [X4: X0] :
( ( ( 'const/realax/real_lt' @ ( X1 @ X4 ) @ ( X2 @ X4 ) )
= $true )
| ( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
!= $true ) ) )
=> ( ( ( sK3 != 'const/sets/EMPTY' ) @ sK0 )
& ( ( 'const/sets/FINITE' @ sK0 @ sK3 )
= $true )
& ( $true
!= ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK2 ) ) )
& ! [X4: sK0] :
( ( $true
= ( 'const/realax/real_lt' @ ( sK1 @ X4 ) @ ( sK2 @ X4 ) ) )
| ( $true
!= ( 'const/sets/IN' @ sK0 @ X4 @ sK3 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f17,plain,
? [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > 'type/realax/real',X3: X0 > $o] :
( ( 'const/sets/EMPTY' @ ( X0 != X3 ) )
& ( ( 'const/sets/FINITE' @ X0 @ X3 )
= $true )
& ( ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) )
!= $true )
& ! [X4: X0] :
( ( ( 'const/realax/real_lt' @ ( X1 @ X4 ) @ ( X2 @ X4 ) )
= $true )
| ( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
!= $true ) ) ),
inference(flattening,[],[f16]) ).
thf(f16,plain,
? [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > 'type/realax/real',X3: X0 > $o] :
( ( ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) )
!= $true )
& ( 'const/sets/EMPTY' @ ( X0 != X3 ) )
& ! [X4: X0] :
( ( ( 'const/realax/real_lt' @ ( X1 @ X4 ) @ ( X2 @ X4 ) )
= $true )
| ( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
!= $true ) )
& ( ( 'const/sets/FINITE' @ X0 @ X3 )
= $true ) ),
inference(ennf_transformation,[],[f11]) ).
thf(f11,plain,
~ ! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > 'type/realax/real',X3: X0 > $o] :
( ( ( 'const/sets/EMPTY' @ ( X0 != X3 ) )
& ! [X4: X0] :
( ( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
= $true )
=> ( ( 'const/realax/real_lt' @ ( X1 @ X4 ) @ ( X2 @ X4 ) )
= $true ) )
& ( ( 'const/sets/FINITE' @ X0 @ X3 )
= $true ) )
=> ( ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) )
= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f10,plain,
~ ! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > 'type/realax/real',X3: X0 > $o] :
( ( ( 'const/sets/EMPTY' @ ( X0 != X3 ) )
& ( 'const/sets/FINITE' @ X0 @ X3 )
& ! [X4: X0] :
( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
=> ( 'const/realax/real_lt' @ ( X1 @ X4 ) @ ( X2 @ X4 ) ) ) )
=> ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) ) ),
inference(rectify,[],[f6]) ).
thf(f6,negated_conjecture,
~ ! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > 'type/realax/real',X3: X0 > $o] :
( ( ( 'const/sets/EMPTY' @ ( X0 != X3 ) )
& ( 'const/sets/FINITE' @ X0 @ X3 )
& ! [X4: X0] :
( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
=> ( 'const/realax/real_lt' @ ( X1 @ X4 ) @ ( X2 @ X4 ) ) ) )
=> ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) ) ),
inference(negated_conjecture,[],[f5]) ).
thf(f5,conjecture,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > 'type/realax/real',X3: X0 > $o] :
( ( ( 'const/sets/EMPTY' @ ( X0 != X3 ) )
& ( 'const/sets/FINITE' @ X0 @ X3 )
& ! [X4: X0] :
( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
=> ( 'const/realax/real_lt' @ ( X1 @ X4 ) @ ( X2 @ X4 ) ) ) )
=> ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/SUM_LT_ALL_') ).
thf(f111,plain,
( ( ( sK3 = 'const/sets/EMPTY' ) @ sK0 )
| ~ spl7_7 ),
inference(trivial_inequality_removal,[],[f107]) ).
thf(f107,plain,
( ( $true != $true )
| ( ( sK3 = 'const/sets/EMPTY' ) @ sK0 )
| ~ spl7_7 ),
inference(superposition,[],[f100,f35]) ).
thf(f35,plain,
! [X0: $tType,X1: X0 > $o] :
( ( $true
= ( 'const/sets/IN' @ X0 @ ( sK4 @ X0 @ X1 ) @ X1 ) )
| ( 'const/sets/EMPTY' @ ( X0 = X1 ) ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f26,plain,
! [X0: $tType,X1: X0 > $o] :
( ( ( 'const/sets/EMPTY' @ ( X0 != X1 ) )
| ! [X2: X0] :
( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
!= $true ) )
& ( ( $true
= ( 'const/sets/IN' @ X0 @ ( sK4 @ X0 @ X1 ) @ X1 ) )
| ( 'const/sets/EMPTY' @ ( X0 = X1 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f24,f25]) ).
thf(f25,plain,
! [X0: $tType,X1: X0 > $o] :
( ? [X3: X0] :
( $true
= ( 'const/sets/IN' @ X0 @ X3 @ X1 ) )
=> ( $true
= ( 'const/sets/IN' @ X0 @ ( sK4 @ X0 @ X1 ) @ X1 ) ) ),
introduced(choice_axiom,[]) ).
thf(f24,plain,
! [X0: $tType,X1: X0 > $o] :
( ( ( 'const/sets/EMPTY' @ ( X0 != X1 ) )
| ! [X2: X0] :
( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
!= $true ) )
& ( ? [X3: X0] :
( $true
= ( 'const/sets/IN' @ X0 @ X3 @ X1 ) )
| ( 'const/sets/EMPTY' @ ( X0 = X1 ) ) ) ),
inference(rectify,[],[f23]) ).
thf(f23,plain,
! [X0: $tType,X1: X0 > $o] :
( ( ( 'const/sets/EMPTY' @ ( X0 != X1 ) )
| ! [X2: X0] :
( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
!= $true ) )
& ( ? [X2: X0] :
( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
= $true )
| ( 'const/sets/EMPTY' @ ( X0 = X1 ) ) ) ),
inference(nnf_transformation,[],[f9]) ).
thf(f9,plain,
! [X0: $tType,X1: X0 > $o] :
( ( 'const/sets/EMPTY' @ ( X0 != X1 ) )
<=> ? [X2: X0] :
( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f8]) ).
thf(f8,plain,
! [X0: $tType,X1: X0 > $o] :
( ( 'const/sets/EMPTY' @ ( X0 != X1 ) )
= ( ? [X2: X0] : ( 'const/sets/IN' @ X0 @ X2 @ X1 ) ) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X0: $tType,X1: X0 > $o] :
( ( 'const/sets/EMPTY' @ ( X0 != X1 ) )
= ( ? [X2: X0] : ( 'const/sets/IN' @ X0 @ X2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/MEMBER_NOT_EMPTY_') ).
thf(f100,plain,
( ! [X0: sK0] :
( ( 'const/sets/IN' @ sK0 @ X0 @ sK3 )
!= $true )
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f99]) ).
thf(f99,plain,
( spl7_7
<=> ! [X0: sK0] :
( ( 'const/sets/IN' @ sK0 @ X0 @ sK3 )
!= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
thf(f105,plain,
~ spl7_6,
inference(avatar_contradiction_clause,[],[f104]) ).
thf(f104,plain,
( $false
| ~ spl7_6 ),
inference(trivial_inequality_removal,[],[f103]) ).
thf(f103,plain,
( ( $true = $false )
| ~ spl7_6 ),
inference(backward_demodulation,[],[f40,f102]) ).
thf(f102,plain,
( ( ( sP6 @ $true )
= $false )
| ~ spl7_6 ),
inference(backward_demodulation,[],[f39,f86]) ).
thf(f86,plain,
( ( $true
= ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK2 ) ) )
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f84,plain,
( spl7_6
<=> ( $true
= ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK2 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
thf(f39,plain,
( ( sP6 @ ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK2 ) ) )
= $false ),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
thf(f40,plain,
( ( sP6 @ $true )
= $true ),
inference(inequality_splitting,[],[f32,f39]) ).
thf(f32,plain,
( $true
!= ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK2 ) ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f101,plain,
( spl7_6
| spl7_7
| ~ spl7_5 ),
inference(avatar_split_clause,[],[f97,f80,f99,f84]) ).
thf(f80,plain,
( spl7_5
<=> ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK5 @ sK0 @ sK3 @ sK2 @ sK1 ) @ sK3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
thf(f97,plain,
( ! [X0: sK0] :
( ( ( 'const/sets/IN' @ sK0 @ X0 @ sK3 )
!= $true )
| ( $true
= ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK2 ) ) ) )
| ~ spl7_5 ),
inference(subsumption_resolution,[],[f96,f31]) ).
thf(f31,plain,
! [X4: sK0] :
( ( $true
!= ( 'const/sets/IN' @ sK0 @ X4 @ sK3 ) )
| ( $true
= ( 'const/realax/real_lt' @ ( sK1 @ X4 ) @ ( sK2 @ X4 ) ) ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f96,plain,
( ! [X0: sK0] :
( ( ( 'const/realax/real_lt' @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) )
!= $true )
| ( $true
= ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK2 ) ) )
| ( ( 'const/sets/IN' @ sK0 @ X0 @ sK3 )
!= $true ) )
| ~ spl7_5 ),
inference(subsumption_resolution,[],[f95,f33]) ).
thf(f33,plain,
( ( 'const/sets/FINITE' @ sK0 @ sK3 )
= $true ),
inference(cnf_transformation,[],[f22]) ).
thf(f95,plain,
( ! [X0: sK0] :
( ( ( 'const/realax/real_lt' @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) )
!= $true )
| ( $true
= ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK2 ) ) )
| ( ( 'const/sets/IN' @ sK0 @ X0 @ sK3 )
!= $true )
| ( ( 'const/sets/FINITE' @ sK0 @ sK3 )
!= $true ) )
| ~ spl7_5 ),
inference(trivial_inequality_removal,[],[f94]) ).
thf(f94,plain,
( ! [X0: sK0] :
( ( $true != $true )
| ( ( 'const/sets/IN' @ sK0 @ X0 @ sK3 )
!= $true )
| ( ( 'const/sets/FINITE' @ sK0 @ sK3 )
!= $true )
| ( $true
= ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK2 ) ) )
| ( ( 'const/realax/real_lt' @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) )
!= $true ) )
| ~ spl7_5 ),
inference(superposition,[],[f37,f93]) ).
thf(f93,plain,
( ( ( 'const/realax/real_le' @ ( sK1 @ ( sK5 @ sK0 @ sK3 @ sK2 @ sK1 ) ) @ ( sK2 @ ( sK5 @ sK0 @ sK3 @ sK2 @ sK1 ) ) )
= $true )
| ~ spl7_5 ),
inference(trivial_inequality_removal,[],[f90]) ).
thf(f90,plain,
( ( $true != $true )
| ( ( 'const/realax/real_le' @ ( sK1 @ ( sK5 @ sK0 @ sK3 @ sK2 @ sK1 ) ) @ ( sK2 @ ( sK5 @ sK0 @ sK3 @ sK2 @ sK1 ) ) )
= $true )
| ~ spl7_5 ),
inference(superposition,[],[f30,f89]) ).
thf(f89,plain,
( ( ( 'const/realax/real_lt' @ ( sK1 @ ( sK5 @ sK0 @ sK3 @ sK2 @ sK1 ) ) @ ( sK2 @ ( sK5 @ sK0 @ sK3 @ sK2 @ sK1 ) ) )
= $true )
| ~ spl7_5 ),
inference(trivial_inequality_removal,[],[f88]) ).
thf(f88,plain,
( ( $true != $true )
| ( ( 'const/realax/real_lt' @ ( sK1 @ ( sK5 @ sK0 @ sK3 @ sK2 @ sK1 ) ) @ ( sK2 @ ( sK5 @ sK0 @ sK3 @ sK2 @ sK1 ) ) )
= $true )
| ~ spl7_5 ),
inference(superposition,[],[f31,f82]) ).
thf(f82,plain,
( ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK5 @ sK0 @ sK3 @ sK2 @ sK1 ) @ sK3 ) )
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f30,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_lt' @ X0 @ X1 )
!= $true )
| ( ( 'const/realax/real_le' @ X0 @ X1 )
= $true ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ X0 @ X1 )
= $true )
| ( ( 'const/realax/real_lt' @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f15]) ).
thf(f15,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_lt' @ X0 @ X1 )
= $true )
=> ( ( 'const/realax/real_le' @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f14]) ).
thf(f14,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/realax/real_lt' @ X0 @ X1 )
=> ( 'const/realax/real_le' @ X0 @ X1 ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/realax/real_lt' @ X0 @ X1 )
=> ( 'const/realax/real_le' @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/realarith/REAL_LT_IMP_LE_') ).
thf(f37,plain,
! [X0: $tType,X2: X0 > 'type/realax/real',X3: X0 > $o,X1: X0 > 'type/realax/real',X5: X0] :
( ( $true
!= ( 'const/realax/real_le' @ ( X1 @ ( sK5 @ X0 @ X3 @ X2 @ X1 ) ) @ ( X2 @ ( sK5 @ X0 @ X3 @ X2 @ X1 ) ) ) )
| ( ( 'const/realax/real_lt' @ ( X1 @ X5 ) @ ( X2 @ X5 ) )
!= $true )
| ( $true
!= ( 'const/sets/IN' @ X0 @ X5 @ X3 ) )
| ( ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) )
= $true )
| ( ( 'const/sets/FINITE' @ X0 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f29]) ).
thf(f29,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > 'type/realax/real',X3: X0 > $o] :
( ( ( ( 'const/sets/IN' @ X0 @ ( sK5 @ X0 @ X3 @ X2 @ X1 ) @ X3 )
= $true )
& ( $true
!= ( 'const/realax/real_le' @ ( X1 @ ( sK5 @ X0 @ X3 @ X2 @ X1 ) ) @ ( X2 @ ( sK5 @ X0 @ X3 @ X2 @ X1 ) ) ) ) )
| ( ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) )
= $true )
| ( ( 'const/sets/FINITE' @ X0 @ X3 )
!= $true )
| ! [X5: X0] :
( ( ( 'const/realax/real_lt' @ ( X1 @ X5 ) @ ( X2 @ X5 ) )
!= $true )
| ( $true
!= ( 'const/sets/IN' @ X0 @ X5 @ X3 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f27,f28]) ).
thf(f28,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > 'type/realax/real',X3: X0 > $o] :
( ? [X4: X0] :
( ( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
= $true )
& ( ( 'const/realax/real_le' @ ( X1 @ X4 ) @ ( X2 @ X4 ) )
!= $true ) )
=> ( ( ( 'const/sets/IN' @ X0 @ ( sK5 @ X0 @ X3 @ X2 @ X1 ) @ X3 )
= $true )
& ( $true
!= ( 'const/realax/real_le' @ ( X1 @ ( sK5 @ X0 @ X3 @ X2 @ X1 ) ) @ ( X2 @ ( sK5 @ X0 @ X3 @ X2 @ X1 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f27,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > 'type/realax/real',X3: X0 > $o] :
( ? [X4: X0] :
( ( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
= $true )
& ( ( 'const/realax/real_le' @ ( X1 @ X4 ) @ ( X2 @ X4 ) )
!= $true ) )
| ( ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) )
= $true )
| ( ( 'const/sets/FINITE' @ X0 @ X3 )
!= $true )
| ! [X5: X0] :
( ( ( 'const/realax/real_lt' @ ( X1 @ X5 ) @ ( X2 @ X5 ) )
!= $true )
| ( $true
!= ( 'const/sets/IN' @ X0 @ X5 @ X3 ) ) ) ),
inference(rectify,[],[f20]) ).
thf(f20,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > 'type/realax/real',X3: X0 > $o] :
( ? [X5: X0] :
( ( $true
= ( 'const/sets/IN' @ X0 @ X5 @ X3 ) )
& ( ( 'const/realax/real_le' @ ( X1 @ X5 ) @ ( X2 @ X5 ) )
!= $true ) )
| ( ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) )
= $true )
| ( ( 'const/sets/FINITE' @ X0 @ X3 )
!= $true )
| ! [X4: X0] :
( ( ( 'const/realax/real_lt' @ ( X1 @ X4 ) @ ( X2 @ X4 ) )
!= $true )
| ( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
!= $true ) ) ),
inference(flattening,[],[f19]) ).
thf(f19,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > 'type/realax/real',X3: X0 > $o] :
( ( ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) )
= $true )
| ? [X5: X0] :
( ( $true
= ( 'const/sets/IN' @ X0 @ X5 @ X3 ) )
& ( ( 'const/realax/real_le' @ ( X1 @ X5 ) @ ( X2 @ X5 ) )
!= $true ) )
| ! [X4: X0] :
( ( ( 'const/realax/real_lt' @ ( X1 @ X4 ) @ ( X2 @ X4 ) )
!= $true )
| ( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
!= $true ) )
| ( ( 'const/sets/FINITE' @ X0 @ X3 )
!= $true ) ),
inference(ennf_transformation,[],[f13]) ).
thf(f13,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > 'type/realax/real',X3: X0 > $o] :
( ( ! [X5: X0] :
( ( $true
= ( 'const/sets/IN' @ X0 @ X5 @ X3 ) )
=> ( ( 'const/realax/real_le' @ ( X1 @ X5 ) @ ( X2 @ X5 ) )
= $true ) )
& ? [X4: X0] :
( ( ( 'const/realax/real_lt' @ ( X1 @ X4 ) @ ( X2 @ X4 ) )
= $true )
& ( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
= $true ) )
& ( ( 'const/sets/FINITE' @ X0 @ X3 )
= $true ) )
=> ( ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) )
= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f12,plain,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > 'type/realax/real',X3: X0 > $o] :
( ( ? [X4: X0] :
( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
& ( 'const/realax/real_lt' @ ( X1 @ X4 ) @ ( X2 @ X4 ) ) )
& ! [X5: X0] :
( ( 'const/sets/IN' @ X0 @ X5 @ X3 )
=> ( 'const/realax/real_le' @ ( X1 @ X5 ) @ ( X2 @ X5 ) ) )
& ( 'const/sets/FINITE' @ X0 @ X3 ) )
=> ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X0: $tType,X1: X0 > 'type/realax/real',X2: X0 > 'type/realax/real',X3: X0 > $o] :
( ( ? [X4: X0] :
( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
& ( 'const/realax/real_lt' @ ( X1 @ X4 ) @ ( X2 @ X4 ) ) )
& ! [X4: X0] :
( ( 'const/sets/IN' @ X0 @ X4 @ X3 )
=> ( 'const/realax/real_le' @ ( X1 @ X4 ) @ ( X2 @ X4 ) ) )
& ( 'const/sets/FINITE' @ X0 @ X3 ) )
=> ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/SUM_LT_') ).
thf(f87,plain,
( spl7_5
| spl7_6 ),
inference(avatar_split_clause,[],[f78,f84,f80]) ).
thf(f78,plain,
( ( $true
= ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK2 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK5 @ sK0 @ sK3 @ sK2 @ sK1 ) @ sK3 ) ) ),
inference(subsumption_resolution,[],[f77,f33]) ).
thf(f77,plain,
( ( ( 'const/sets/FINITE' @ sK0 @ sK3 )
!= $true )
| ( $true
= ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK2 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK5 @ sK0 @ sK3 @ sK2 @ sK1 ) @ sK3 ) ) ),
inference(subsumption_resolution,[],[f76,f34]) ).
thf(f76,plain,
( ( ( sK3 = 'const/sets/EMPTY' ) @ sK0 )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK5 @ sK0 @ sK3 @ sK2 @ sK1 ) @ sK3 ) )
| ( $true
= ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK2 ) ) )
| ( ( 'const/sets/FINITE' @ sK0 @ sK3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f75]) ).
thf(f75,plain,
( ( $true
= ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ sK3 @ sK2 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK5 @ sK0 @ sK3 @ sK2 @ sK1 ) @ sK3 ) )
| ( ( sK3 = 'const/sets/EMPTY' ) @ sK0 )
| ( $true != $true )
| ( ( 'const/sets/FINITE' @ sK0 @ sK3 )
!= $true ) ),
inference(superposition,[],[f73,f35]) ).
thf(f73,plain,
! [X0: sK0 > $o] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK4 @ sK0 @ sK3 ) @ X0 )
!= $true )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK5 @ sK0 @ X0 @ sK2 @ sK1 ) @ X0 ) )
| ( $true
!= ( 'const/sets/FINITE' @ sK0 @ X0 ) )
| ( $true
= ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ sK0 @ X0 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ X0 @ sK2 ) ) ) ),
inference(trivial_inequality_removal,[],[f72]) ).
thf(f72,plain,
! [X0: sK0 > $o] :
( ( ( 'const/sets/IN' @ sK0 @ ( sK4 @ sK0 @ sK3 ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ sK0 @ X0 @ sK1 ) @ ( 'const/iterate/sum' @ sK0 @ X0 @ sK2 ) ) )
| ( $true
= ( 'const/sets/IN' @ sK0 @ ( sK5 @ sK0 @ X0 @ sK2 @ sK1 ) @ X0 ) )
| ( $true
!= ( 'const/sets/FINITE' @ sK0 @ X0 ) ) ),
inference(superposition,[],[f38,f70]) ).
thf(f70,plain,
( $true
= ( 'const/realax/real_lt' @ ( sK1 @ ( sK4 @ sK0 @ sK3 ) ) @ ( sK2 @ ( sK4 @ sK0 @ sK3 ) ) ) ),
inference(subsumption_resolution,[],[f69,f34]) ).
thf(f69,plain,
( ( $true
= ( 'const/realax/real_lt' @ ( sK1 @ ( sK4 @ sK0 @ sK3 ) ) @ ( sK2 @ ( sK4 @ sK0 @ sK3 ) ) ) )
| ( ( sK3 = 'const/sets/EMPTY' ) @ sK0 ) ),
inference(trivial_inequality_removal,[],[f67]) ).
thf(f67,plain,
( ( $true != $true )
| ( $true
= ( 'const/realax/real_lt' @ ( sK1 @ ( sK4 @ sK0 @ sK3 ) ) @ ( sK2 @ ( sK4 @ sK0 @ sK3 ) ) ) )
| ( ( sK3 = 'const/sets/EMPTY' ) @ sK0 ) ),
inference(superposition,[],[f31,f35]) ).
thf(f38,plain,
! [X0: $tType,X2: X0 > 'type/realax/real',X3: X0 > $o,X1: X0 > 'type/realax/real',X5: X0] :
( ( ( 'const/realax/real_lt' @ ( X1 @ X5 ) @ ( X2 @ X5 ) )
!= $true )
| ( ( 'const/realax/real_lt' @ ( 'const/iterate/sum' @ X0 @ X3 @ X1 ) @ ( 'const/iterate/sum' @ X0 @ X3 @ X2 ) )
= $true )
| ( $true
!= ( 'const/sets/IN' @ X0 @ X5 @ X3 ) )
| ( ( 'const/sets/FINITE' @ X0 @ X3 )
!= $true )
| ( ( 'const/sets/IN' @ X0 @ ( sK5 @ X0 @ X3 @ X2 @ X1 ) @ X3 )
= $true ) ),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV508^1 : TPTP v8.2.0. Released v7.0.0.
% 0.11/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n029.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 Jun 21 18:35:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 This is a TH1_THM_EQU_NAR problem
% 0.12/0.36 Running higher-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.38 % (13761)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.38 % (13759)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)
% 0.12/0.38 % (13762)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)
% 0.12/0.38 % (13760)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)
% 0.12/0.38 % (13764)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.38 % (13763)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)
% 0.12/0.38 % (13758)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.12/0.38 % Exception at run slice level
% 0.12/0.38 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.12/0.38 % (13761)Instruction limit reached!
% 0.12/0.38 % (13761)------------------------------
% 0.12/0.38 % (13761)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (13761)Termination reason: Unknown
% 0.12/0.38 % (13761)Termination phase: Preprocessing 3
% 0.12/0.38
% 0.12/0.38 % (13761)Memory used [KB]: 895
% 0.12/0.38 % (13761)Time elapsed: 0.003 s
% 0.12/0.38 % (13761)Instructions burned: 2 (million)
% 0.12/0.38 % (13761)------------------------------
% 0.12/0.38 % (13761)------------------------------
% 0.12/0.38 % (13759)Instruction limit reached!
% 0.12/0.38 % (13759)------------------------------
% 0.12/0.38 % (13759)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (13759)Termination reason: Unknown
% 0.12/0.38 % (13759)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (13759)Memory used [KB]: 5500
% 0.12/0.38 % (13759)Time elapsed: 0.005 s
% 0.12/0.38 % (13759)Instructions burned: 4 (million)
% 0.12/0.38 % (13759)------------------------------
% 0.12/0.38 % (13759)------------------------------
% 0.12/0.38 % (13763)Refutation not found, incomplete strategy
% 0.12/0.38 % (13763)------------------------------
% 0.12/0.38 % (13763)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.38 % (13763)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.38
% 0.12/0.38
% 0.12/0.38 % (13763)Memory used [KB]: 5500
% 0.12/0.38 % (13763)Time elapsed: 0.005 s
% 0.12/0.38 % (13763)Instructions burned: 4 (million)
% 0.12/0.38 % (13763)------------------------------
% 0.12/0.38 % (13763)------------------------------
% 0.12/0.39 % (13764)Instruction limit reached!
% 0.12/0.39 % (13764)------------------------------
% 0.12/0.39 % (13764)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.39 % (13764)Termination reason: Unknown
% 0.12/0.39 % (13764)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (13764)Memory used [KB]: 5628
% 0.12/0.39 % (13764)Time elapsed: 0.016 s
% 0.12/0.39 % (13764)Instructions burned: 18 (million)
% 0.12/0.39 % (13764)------------------------------
% 0.12/0.39 % (13764)------------------------------
% 0.12/0.40 % (13774)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)
% 0.12/0.40 % (13775)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)
% 0.12/0.40 % Exception at run slice level
% 0.12/0.40 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.12/0.40 % (13776)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)
% 0.12/0.40 % (13774)Instruction limit reached!
% 0.12/0.40 % (13774)------------------------------
% 0.12/0.40 % (13774)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (13774)Termination reason: Unknown
% 0.12/0.40 % (13774)Termination phase: Saturation
% 0.12/0.40
% 0.12/0.40 % (13774)Memory used [KB]: 5500
% 0.12/0.40 % (13774)Time elapsed: 0.005 s
% 0.12/0.40 % (13774)Instructions burned: 4 (million)
% 0.12/0.40 % (13774)------------------------------
% 0.12/0.40 % (13774)------------------------------
% 0.12/0.40 % (13760)Instruction limit reached!
% 0.12/0.40 % (13760)------------------------------
% 0.12/0.40 % (13760)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (13760)Termination reason: Unknown
% 0.12/0.40 % (13760)Termination phase: Saturation
% 0.12/0.40
% 0.12/0.40 % (13760)Memory used [KB]: 5756
% 0.12/0.40 % (13760)Time elapsed: 0.022 s
% 0.12/0.40 % (13760)Instructions burned: 28 (million)
% 0.12/0.40 % (13760)------------------------------
% 0.12/0.40 % (13760)------------------------------
% 0.12/0.40 % (13779)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)
% 0.12/0.40 % (13779)Instruction limit reached!
% 0.12/0.40 % (13779)------------------------------
% 0.12/0.40 % (13779)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (13779)Termination reason: Unknown
% 0.12/0.40 % (13779)Termination phase: Saturation
% 0.12/0.40
% 0.12/0.40 % (13779)Memory used [KB]: 5500
% 0.12/0.40 % (13779)Time elapsed: 0.005 s
% 0.12/0.40 % (13779)Instructions burned: 3 (million)
% 0.12/0.40 % (13779)------------------------------
% 0.12/0.40 % (13779)------------------------------
% 0.12/0.41 % (13782)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)
% 0.12/0.41 % Exception at run slice level
% 0.12/0.41 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.12/0.41 % (13776)Instruction limit reached!
% 0.12/0.41 % (13776)------------------------------
% 0.12/0.41 % (13776)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.41 % (13776)Termination reason: Unknown
% 0.12/0.41 % (13776)Termination phase: Saturation
% 0.12/0.41
% 0.12/0.41 % (13776)Memory used [KB]: 5756
% 0.12/0.41 % (13776)Time elapsed: 0.014 s
% 0.12/0.41 % (13776)Instructions burned: 16 (million)
% 0.12/0.41 % (13776)------------------------------
% 0.12/0.41 % (13776)------------------------------
% 0.21/0.41 % (13784)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (13785)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.41 % (13786)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)
% 0.21/0.42 % (13786)Instruction limit reached!
% 0.21/0.42 % (13786)------------------------------
% 0.21/0.42 % (13786)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (13786)Termination reason: Unknown
% 0.21/0.42 % (13786)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (13786)Memory used [KB]: 5500
% 0.21/0.42 % (13786)Time elapsed: 0.005 s
% 0.21/0.42 % (13786)Instructions burned: 4 (million)
% 0.21/0.42 % (13786)------------------------------
% 0.21/0.42 % (13786)------------------------------
% 0.21/0.42 % (13788)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)
% 0.21/0.42 % (13784)Instruction limit reached!
% 0.21/0.42 % (13784)------------------------------
% 0.21/0.42 % (13784)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (13784)Termination reason: Unknown
% 0.21/0.42 % (13784)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (13784)Memory used [KB]: 1023
% 0.21/0.42 % (13784)Time elapsed: 0.008 s
% 0.21/0.42 % (13784)Instructions burned: 7 (million)
% 0.21/0.42 % (13784)------------------------------
% 0.21/0.42 % (13784)------------------------------
% 0.21/0.42 % (13788)Instruction limit reached!
% 0.21/0.42 % (13788)------------------------------
% 0.21/0.42 % (13788)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (13788)Termination reason: Unknown
% 0.21/0.42 % (13788)Termination phase: Equality resolution with deletion
% 0.21/0.42
% 0.21/0.42 % (13788)Memory used [KB]: 1023
% 0.21/0.42 % (13788)Time elapsed: 0.004 s
% 0.21/0.42 % (13788)Instructions burned: 3 (million)
% 0.21/0.42 % (13788)------------------------------
% 0.21/0.42 % (13788)------------------------------
% 0.21/0.42 % (13792)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)
% 0.21/0.42 % (13794)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)
% 0.21/0.43 % Exception at run slice level
% 0.21/0.43 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.43 % (13785)Instruction limit reached!
% 0.21/0.43 % (13785)------------------------------
% 0.21/0.43 % (13785)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (13785)Termination reason: Unknown
% 0.21/0.43 % (13785)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (13785)Memory used [KB]: 5756
% 0.21/0.43 % (13785)Time elapsed: 0.015 s
% 0.21/0.43 % (13785)Instructions burned: 16 (million)
% 0.21/0.43 % (13785)------------------------------
% 0.21/0.43 % (13785)------------------------------
% 0.21/0.43 % (13792)Instruction limit reached!
% 0.21/0.43 % (13792)------------------------------
% 0.21/0.43 % (13792)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.43 % (13792)Termination reason: Unknown
% 0.21/0.43 % (13792)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (13792)Memory used [KB]: 5500
% 0.21/0.43 % (13792)Time elapsed: 0.008 s
% 0.21/0.43 % (13792)Instructions burned: 8 (million)
% 0.21/0.43 % (13792)------------------------------
% 0.21/0.43 % (13792)------------------------------
% 0.21/0.43 % (13802)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.43 % (13803)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)
% 0.21/0.44 % (13807)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.44 % (13802)Instruction limit reached!
% 0.21/0.44 % (13802)------------------------------
% 0.21/0.44 % (13802)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.44 % (13802)Termination reason: Unknown
% 0.21/0.44 % (13802)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (13802)Memory used [KB]: 5500
% 0.21/0.44 % (13802)Time elapsed: 0.006 s
% 0.21/0.44 % (13802)Instructions burned: 4 (million)
% 0.21/0.44 % (13802)------------------------------
% 0.21/0.44 % (13802)------------------------------
% 0.21/0.44 % (13811)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.44 % (13813)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 theBenchmark for (2999ds/902Mi)
% 0.21/0.45 % (13815)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 theBenchmark for (2999ds/21Mi)
% 0.21/0.45 % (13813)Refutation not found, incomplete strategy
% 0.21/0.45 % (13813)------------------------------
% 0.21/0.45 % (13813)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (13813)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % (13813)Memory used [KB]: 5500
% 0.21/0.45 % (13813)Time elapsed: 0.006 s
% 0.21/0.45 % (13813)Instructions burned: 3 (million)
% 0.21/0.45 % (13813)------------------------------
% 0.21/0.45 % (13813)------------------------------
% 0.21/0.45 % (13803)Instruction limit reached!
% 0.21/0.45 % (13803)------------------------------
% 0.21/0.45 % (13803)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (13803)Termination reason: Unknown
% 0.21/0.45 % (13803)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (13803)Memory used [KB]: 5628
% 0.21/0.45 % (13803)Time elapsed: 0.015 s
% 0.21/0.45 % (13803)Instructions burned: 19 (million)
% 0.21/0.45 % (13803)------------------------------
% 0.21/0.45 % (13803)------------------------------
% 0.21/0.45 % (13811)Instruction limit reached!
% 0.21/0.45 % (13811)------------------------------
% 0.21/0.45 % (13811)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.45 % (13811)Termination reason: Unknown
% 0.21/0.45 % (13811)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (13811)Memory used [KB]: 5500
% 0.21/0.45 % (13811)Time elapsed: 0.007 s
% 0.21/0.45 % (13811)Instructions burned: 6 (million)
% 0.21/0.45 % (13811)------------------------------
% 0.21/0.45 % (13811)------------------------------
% 0.21/0.45 % (13821)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.45 % Exception at run slice level
% 0.21/0.45 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.46 % (13831)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 theBenchmark for (2999ds/6Mi)
% 0.21/0.46 % Exception at run slice level
% 0.21/0.46 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.46 % (13832)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.46 % (13815)Instruction limit reached!
% 0.21/0.46 % (13815)------------------------------
% 0.21/0.46 % (13815)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.46 % (13815)Termination reason: Unknown
% 0.21/0.46 % (13815)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (13815)Memory used [KB]: 5628
% 0.21/0.46 % (13815)Time elapsed: 0.019 s
% 0.21/0.46 % (13815)Instructions burned: 22 (million)
% 0.21/0.46 % (13815)------------------------------
% 0.21/0.46 % (13815)------------------------------
% 0.21/0.46 % (13833)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 theBenchmark for (2999ds/779Mi)
% 0.21/0.46 % Exception at run slice level
% 0.21/0.46 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.47 % (13843)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.21/0.47 % (13839)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 theBenchmark for (2999ds/19Mi)
% 0.21/0.47 % Exception at run slice level
% 0.21/0.47 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.48 % (13846)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.48 % (13848)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.48 % (13848)Instruction limit reached!
% 0.21/0.48 % (13848)------------------------------
% 0.21/0.48 % (13848)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.48 % (13848)Termination reason: Unknown
% 0.21/0.48 % (13848)Termination phase: Property scanning
% 0.21/0.48
% 0.21/0.48 % (13848)Memory used [KB]: 1023
% 0.21/0.48 % (13848)Time elapsed: 0.004 s
% 0.21/0.48 % (13848)Instructions burned: 3 (million)
% 0.21/0.48 % (13848)------------------------------
% 0.21/0.48 % (13848)------------------------------
% 0.21/0.48 % (13852)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.49 % (13846)Instruction limit reached!
% 0.21/0.49 % (13846)------------------------------
% 0.21/0.49 % (13846)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (13846)Termination reason: Unknown
% 0.21/0.49 % (13846)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (13846)Memory used [KB]: 5628
% 0.21/0.49 % (13846)Time elapsed: 0.010 s
% 0.21/0.49 % (13846)Instructions burned: 17 (million)
% 0.21/0.49 % (13846)------------------------------
% 0.21/0.49 % (13846)------------------------------
% 0.21/0.49 % (13758)Instruction limit reached!
% 0.21/0.49 % (13758)------------------------------
% 0.21/0.49 % (13758)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.49 % (13758)Termination reason: Unknown
% 0.21/0.49 % (13758)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (13758)Memory used [KB]: 6268
% 0.21/0.49 % (13758)Time elapsed: 0.112 s
% 0.21/0.49 % (13758)Instructions burned: 185 (million)
% 0.21/0.49 % (13758)------------------------------
% 0.21/0.49 % (13758)------------------------------
% 0.21/0.50 % (13869)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.21/0.50 % (13864)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.21/0.50 % (13870)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.50 % Exception at run slice level
% 0.21/0.50 User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.50 % (13852)Instruction limit reached!
% 0.21/0.50 % (13852)------------------------------
% 0.21/0.50 % (13852)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.50 % (13852)Termination reason: Unknown
% 0.21/0.50 % (13852)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (13852)Memory used [KB]: 5628
% 0.21/0.50 % (13852)Time elapsed: 0.016 s
% 0.21/0.50 % (13852)Instructions burned: 30 (million)
% 0.21/0.50 % (13852)------------------------------
% 0.21/0.50 % (13852)------------------------------
% 0.21/0.51 % (13873)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.21/0.51 % (13875)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.21/0.51 % (13873)First to succeed.
% 0.21/0.52 % (13873)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (13873)------------------------------
% 0.21/0.52 % (13873)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.52 % (13873)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (13873)Memory used [KB]: 5628
% 0.21/0.52 % (13873)Time elapsed: 0.010 s
% 0.21/0.52 % (13873)Instructions burned: 14 (million)
% 0.21/0.52 % (13873)------------------------------
% 0.21/0.52 % (13873)------------------------------
% 0.21/0.52 % (13754)Success in time 0.16 s
%------------------------------------------------------------------------------