TSTP Solution File: ANA074^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA074^1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.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 18:40:22 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of formulae : 75 ( 2 unt; 12 typ; 0 def)
% Number of atoms : 611 ( 164 equ; 0 cnn)
% Maximal formula atoms : 10 ( 9 avg)
% Number of connectives : 785 ( 99 ~; 106 |; 33 &; 516 @)
% ( 5 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 114 ( 0 ^ 96 !; 15 ?; 114 :)
% ( 3 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
'type/realax/real': $tType ).
thf(func_def_0,type,
'type/realax/real': $tType ).
thf(func_def_1,type,
'const/sets/sup': ( 'type/realax/real' > $o ) > 'type/realax/real' ).
thf(func_def_2,type,
'const/sets/IN':
!>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
'const/sets/EMPTY':
!>[X0: $tType] : ( X0 > $o ) ).
thf(func_def_4,type,
'const/realax/real_le': 'type/realax/real' > 'type/realax/real' > $o ).
thf(func_def_8,type,
sK0: 'type/realax/real' > $o ).
thf(func_def_9,type,
sK1: 'type/realax/real' ).
thf(func_def_10,type,
sK2: 'type/realax/real' > ( 'type/realax/real' > $o ) > 'type/realax/real' ).
thf(func_def_11,type,
sK3: 'type/realax/real' > ( 'type/realax/real' > $o ) > 'type/realax/real' ).
thf(func_def_13,type,
ph5:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
sK6: 'type/realax/real' ).
thf(f120,plain,
$false,
inference(avatar_sat_refutation,[],[f63,f68,f76,f95,f100,f116,f119]) ).
thf(f119,plain,
( spl4_9
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f118,f66,f74]) ).
thf(f74,plain,
( spl4_9
<=> ! [X0: 'type/realax/real'] :
( $true
= ( 'const/realax/real_le' @ ( sK2 @ X0 @ sK0 ) @ sK1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
thf(f66,plain,
( spl4_7
<=> ! [X1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK2 @ X1 @ sK0 ) @ sK0 )
= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
thf(f118,plain,
( ! [X0: 'type/realax/real'] :
( $true
= ( 'const/realax/real_le' @ ( sK2 @ X0 @ sK0 ) @ sK1 ) )
| ~ spl4_7 ),
inference(trivial_inequality_removal,[],[f117]) ).
thf(f117,plain,
( ! [X0: 'type/realax/real'] :
( ( $true != $true )
| ( $true
= ( 'const/realax/real_le' @ ( sK2 @ X0 @ sK0 ) @ sK1 ) ) )
| ~ spl4_7 ),
inference(superposition,[],[f18,f67]) ).
thf(f67,plain,
( ! [X1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK2 @ X1 @ sK0 ) @ sK0 )
= $true )
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f66]) ).
thf(f18,plain,
! [X2: 'type/realax/real'] :
( ( $true
!= ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ sK0 ) )
| ( $true
= ( 'const/realax/real_le' @ X2 @ sK1 ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ sK1 )
!= $true )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != sK0 ) )
& ! [X2: 'type/realax/real'] :
( ( $true
!= ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ sK0 ) )
| ( $true
= ( 'const/realax/real_le' @ X2 @ sK1 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f13]) ).
thf(f13,plain,
( ? [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 )
!= $true )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
& ! [X2: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
!= $true )
| ( ( 'const/realax/real_le' @ X2 @ X1 )
= $true ) ) )
=> ( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ sK1 )
!= $true )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != sK0 ) )
& ! [X2: 'type/realax/real'] :
( ( $true
!= ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ sK0 ) )
| ( $true
= ( 'const/realax/real_le' @ X2 @ sK1 ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f10,plain,
? [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 )
!= $true )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
& ! [X2: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
!= $true )
| ( ( 'const/realax/real_le' @ X2 @ X1 )
= $true ) ) ),
inference(flattening,[],[f9]) ).
thf(f9,plain,
? [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 )
!= $true )
& ! [X2: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
!= $true )
| ( ( 'const/realax/real_le' @ X2 @ X1 )
= $true ) )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f6,plain,
~ ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
( ( ! [X2: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
= $true )
=> ( ( 'const/realax/real_le' @ X2 @ X1 )
= $true ) )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
=> ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 )
= $true ) ),
inference(fool_elimination,[],[f5]) ).
thf(f5,plain,
~ ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
( ( ! [X2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
=> ( 'const/realax/real_le' @ X2 @ X1 ) )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 ) ),
inference(rectify,[],[f3]) ).
thf(f3,negated_conjecture,
~ ! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
( ( ! [X2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
=> ( 'const/realax/real_le' @ X2 @ X1 ) )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 ) ),
inference(negated_conjecture,[],[f2]) ).
thf(f2,conjecture,
! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
( ( ! [X2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
=> ( 'const/realax/real_le' @ X2 @ X1 ) )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/REAL_SUP_LE_') ).
thf(f116,plain,
( ~ spl4_5
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f115]) ).
thf(f115,plain,
( $false
| ~ spl4_5
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f104,f20]) ).
thf(f20,plain,
( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ sK1 )
!= $true ),
inference(cnf_transformation,[],[f14]) ).
thf(f104,plain,
( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ sK1 )
= $true )
| ~ spl4_5
| ~ spl4_8 ),
inference(trivial_inequality_removal,[],[f103]) ).
thf(f103,plain,
( ( $true != $true )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ sK1 )
= $true )
| ~ spl4_5
| ~ spl4_8 ),
inference(duplicate_literal_removal,[],[f101]) ).
thf(f101,plain,
( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ sK1 )
= $true )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl4_5
| ~ spl4_8 ),
inference(superposition,[],[f72,f59]) ).
thf(f59,plain,
( ! [X0: 'type/realax/real'] :
( ( $true
= ( 'const/realax/real_le' @ ( sK3 @ X0 @ sK0 ) @ sK1 ) )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 )
= $true ) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f58]) ).
thf(f58,plain,
( spl4_5
<=> ! [X0: 'type/realax/real'] :
( ( $true
= ( 'const/realax/real_le' @ ( sK3 @ X0 @ sK0 ) @ sK1 ) )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 )
= $true ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
thf(f72,plain,
( ! [X1: 'type/realax/real'] :
( ( $true
!= ( 'const/realax/real_le' @ ( sK3 @ X1 @ sK0 ) @ X1 ) )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X1 ) ) )
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f71]) ).
thf(f71,plain,
( spl4_8
<=> ! [X1: 'type/realax/real'] :
( ( $true
!= ( 'const/realax/real_le' @ ( sK3 @ X1 @ sK0 ) @ X1 ) )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X1 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
thf(f100,plain,
( ~ spl4_6
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f99]) ).
thf(f99,plain,
( $false
| ~ spl4_6
| ~ spl4_9 ),
inference(trivial_inequality_removal,[],[f96]) ).
thf(f96,plain,
( ( $true != $true )
| ~ spl4_6
| ~ spl4_9 ),
inference(superposition,[],[f62,f75]) ).
thf(f75,plain,
( ! [X0: 'type/realax/real'] :
( $true
= ( 'const/realax/real_le' @ ( sK2 @ X0 @ sK0 ) @ sK1 ) )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f74]) ).
thf(f62,plain,
( ! [X1: 'type/realax/real'] :
( $true
!= ( 'const/realax/real_le' @ ( sK2 @ X1 @ sK0 ) @ X1 ) )
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f61]) ).
thf(f61,plain,
( spl4_6
<=> ! [X1: 'type/realax/real'] :
( $true
!= ( 'const/realax/real_le' @ ( sK2 @ X1 @ sK0 ) @ X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
thf(f95,plain,
( spl4_6
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f94,f58,f61]) ).
thf(f94,plain,
( ! [X0: 'type/realax/real'] :
( $true
!= ( 'const/realax/real_le' @ ( sK2 @ X0 @ sK0 ) @ X0 ) )
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f93,f19]) ).
thf(f19,plain,
'const/sets/EMPTY' @ ( 'type/realax/real' != sK0 ),
inference(cnf_transformation,[],[f14]) ).
thf(f93,plain,
( ! [X0: 'type/realax/real'] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( $true
!= ( 'const/realax/real_le' @ ( sK2 @ X0 @ sK0 ) @ X0 ) ) )
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f92,f20]) ).
thf(f92,plain,
( ! [X0: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ sK1 )
= $true )
| ( $true
!= ( 'const/realax/real_le' @ ( sK2 @ X0 @ sK0 ) @ X0 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) ) )
| ~ spl4_5 ),
inference(trivial_inequality_removal,[],[f91]) ).
thf(f91,plain,
( ! [X0: 'type/realax/real'] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( $true
!= ( 'const/realax/real_le' @ ( sK2 @ X0 @ sK0 ) @ X0 ) )
| ( $true != $true )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ sK1 )
= $true ) )
| ~ spl4_5 ),
inference(duplicate_literal_removal,[],[f90]) ).
thf(f90,plain,
( ! [X0: 'type/realax/real'] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ sK1 )
= $true )
| ( $true
!= ( 'const/realax/real_le' @ ( sK2 @ X0 @ sK0 ) @ X0 ) ) )
| ~ spl4_5 ),
inference(superposition,[],[f22,f59]) ).
thf(f22,plain,
! [X0: 'type/realax/real' > $o,X1: 'type/realax/real',X4: 'type/realax/real'] :
( ( $true
!= ( 'const/realax/real_le' @ ( sK3 @ X4 @ X0 ) @ X4 ) )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X4 ) )
| ( $true
!= ( 'const/realax/real_le' @ ( sK2 @ X1 @ X0 ) @ X1 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f17,plain,
! [X0: 'type/realax/real' > $o] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
| ! [X1: 'type/realax/real'] :
( ( $true
= ( 'const/sets/IN' @ 'type/realax/real' @ ( sK2 @ X1 @ X0 ) @ X0 ) )
& ( $true
!= ( 'const/realax/real_le' @ ( sK2 @ X1 @ X0 ) @ X1 ) ) )
| ( ! [X3: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
!= $true )
| ( $true
= ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X0 ) ) ) )
& ! [X4: 'type/realax/real'] :
( ( ( $true
!= ( 'const/realax/real_le' @ ( sK3 @ X4 @ X0 ) @ X4 ) )
& ( $true
= ( 'const/sets/IN' @ 'type/realax/real' @ ( sK3 @ X4 @ X0 ) @ X0 ) ) )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X4 ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f12,f16,f15]) ).
thf(f15,plain,
! [X0: 'type/realax/real' > $o,X1: 'type/realax/real'] :
( ? [X2: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
= $true )
& ( ( 'const/realax/real_le' @ X2 @ X1 )
!= $true ) )
=> ( ( $true
= ( 'const/sets/IN' @ 'type/realax/real' @ ( sK2 @ X1 @ X0 ) @ X0 ) )
& ( $true
!= ( 'const/realax/real_le' @ ( sK2 @ X1 @ X0 ) @ X1 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f16,plain,
! [X0: 'type/realax/real' > $o,X4: 'type/realax/real'] :
( ? [X5: 'type/realax/real'] :
( ( $true
!= ( 'const/realax/real_le' @ X5 @ X4 ) )
& ( $true
= ( 'const/sets/IN' @ 'type/realax/real' @ X5 @ X0 ) ) )
=> ( ( $true
!= ( 'const/realax/real_le' @ ( sK3 @ X4 @ X0 ) @ X4 ) )
& ( $true
= ( 'const/sets/IN' @ 'type/realax/real' @ ( sK3 @ X4 @ X0 ) @ X0 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f12,plain,
! [X0: 'type/realax/real' > $o] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
| ! [X1: 'type/realax/real'] :
? [X2: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
= $true )
& ( ( 'const/realax/real_le' @ X2 @ X1 )
!= $true ) )
| ( ! [X3: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
!= $true )
| ( $true
= ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X0 ) ) ) )
& ! [X4: 'type/realax/real'] :
( ? [X5: 'type/realax/real'] :
( ( $true
!= ( 'const/realax/real_le' @ X5 @ X4 ) )
& ( $true
= ( 'const/sets/IN' @ 'type/realax/real' @ X5 @ X0 ) ) )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X4 ) ) ) ) ),
inference(flattening,[],[f11]) ).
thf(f11,plain,
! [X0: 'type/realax/real' > $o] :
( ( ! [X3: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
!= $true )
| ( $true
= ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X0 ) ) ) )
& ! [X4: 'type/realax/real'] :
( ? [X5: 'type/realax/real'] :
( ( $true
!= ( 'const/realax/real_le' @ X5 @ X4 ) )
& ( $true
= ( 'const/sets/IN' @ 'type/realax/real' @ X5 @ X0 ) ) )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X4 ) ) ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) )
| ! [X1: 'type/realax/real'] :
? [X2: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
= $true )
& ( ( 'const/realax/real_le' @ X2 @ X1 )
!= $true ) ) ),
inference(ennf_transformation,[],[f8]) ).
thf(f8,plain,
! [X0: 'type/realax/real' > $o] :
( ( ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) )
& ? [X1: 'type/realax/real'] :
! [X2: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
= $true )
=> ( ( 'const/realax/real_le' @ X2 @ X1 )
= $true ) ) )
=> ( ! [X3: 'type/realax/real'] :
( ( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
= $true )
=> ( $true
= ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X0 ) ) ) )
& ! [X4: 'type/realax/real'] :
( ! [X5: 'type/realax/real'] :
( ( $true
= ( 'const/sets/IN' @ 'type/realax/real' @ X5 @ X0 ) )
=> ( $true
= ( 'const/realax/real_le' @ X5 @ X4 ) ) )
=> ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X4 ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
! [X0: 'type/realax/real' > $o] :
( ( ? [X1: 'type/realax/real'] :
! [X2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
=> ( 'const/realax/real_le' @ X2 @ X1 ) )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
=> ( ! [X3: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X3 @ X0 )
=> ( 'const/realax/real_le' @ X3 @ ( 'const/sets/sup' @ X0 ) ) )
& ! [X4: 'type/realax/real'] :
( ! [X5: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X5 @ X0 )
=> ( 'const/realax/real_le' @ X5 @ X4 ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X4 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X0: 'type/realax/real' > $o] :
( ( ? [X1: 'type/realax/real'] :
! [X2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
=> ( 'const/realax/real_le' @ X2 @ X1 ) )
& ( 'const/sets/EMPTY' @ ( 'type/realax/real' != X0 ) ) )
=> ( ! [X1: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X1 @ X0 )
=> ( 'const/realax/real_le' @ X1 @ ( 'const/sets/sup' @ X0 ) ) )
& ! [X1: 'type/realax/real'] :
( ! [X2: 'type/realax/real'] :
( ( 'const/sets/IN' @ 'type/realax/real' @ X2 @ X0 )
=> ( 'const/realax/real_le' @ X2 @ X1 ) )
=> ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/sets/SUP_') ).
thf(f76,plain,
( spl4_8
| spl4_9 ),
inference(avatar_split_clause,[],[f69,f74,f71]) ).
thf(f69,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( $true
!= ( 'const/realax/real_le' @ ( sK3 @ X1 @ sK0 ) @ X1 ) )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X1 ) )
| ( $true
= ( 'const/realax/real_le' @ ( sK2 @ X0 @ sK0 ) @ sK1 ) ) ),
inference(subsumption_resolution,[],[f53,f19]) ).
thf(f53,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X1 ) )
| ( $true
= ( 'const/realax/real_le' @ ( sK2 @ X0 @ sK0 ) @ sK1 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( $true
!= ( 'const/realax/real_le' @ ( sK3 @ X1 @ sK0 ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f51]) ).
thf(f51,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X1 ) )
| ( $true
= ( 'const/realax/real_le' @ ( sK2 @ X0 @ sK0 ) @ sK1 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( $true != $true )
| ( $true
!= ( 'const/realax/real_le' @ ( sK3 @ X1 @ sK0 ) @ X1 ) ) ),
inference(superposition,[],[f18,f25]) ).
thf(f25,plain,
! [X0: 'type/realax/real' > $o,X1: 'type/realax/real',X4: 'type/realax/real'] :
( ( $true
= ( 'const/sets/IN' @ 'type/realax/real' @ ( sK2 @ X1 @ X0 ) @ X0 ) )
| ( $true
!= ( 'const/realax/real_le' @ ( sK3 @ X4 @ X0 ) @ X4 ) )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X4 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f68,plain,
( spl4_7
| spl4_5 ),
inference(avatar_split_clause,[],[f64,f58,f66]) ).
thf(f64,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK2 @ X1 @ sK0 ) @ sK0 )
= $true )
| ( $true
= ( 'const/realax/real_le' @ ( sK3 @ X0 @ sK0 ) @ sK1 ) ) ),
inference(subsumption_resolution,[],[f54,f19]) ).
thf(f54,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 )
= $true )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK2 @ X1 @ sK0 ) @ sK0 )
= $true )
| ( $true
= ( 'const/realax/real_le' @ ( sK3 @ X0 @ sK0 ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f49]) ).
thf(f49,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( $true
= ( 'const/realax/real_le' @ ( sK3 @ X0 @ sK0 ) @ sK1 ) )
| ( ( 'const/sets/IN' @ 'type/realax/real' @ ( sK2 @ X1 @ sK0 ) @ sK0 )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f18,f24]) ).
thf(f24,plain,
! [X0: 'type/realax/real' > $o,X1: 'type/realax/real',X4: 'type/realax/real'] :
( ( $true
= ( 'const/sets/IN' @ 'type/realax/real' @ ( sK3 @ X4 @ X0 ) @ X0 ) )
| ( $true
= ( 'const/sets/IN' @ 'type/realax/real' @ ( sK2 @ X1 @ X0 ) @ X0 ) )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X4 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f63,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f56,f61,f58]) ).
thf(f56,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( $true
= ( 'const/realax/real_le' @ ( sK3 @ X0 @ sK0 ) @ sK1 ) )
| ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 )
= $true )
| ( $true
!= ( 'const/realax/real_le' @ ( sK2 @ X1 @ sK0 ) @ X1 ) ) ),
inference(subsumption_resolution,[],[f55,f19]) ).
thf(f55,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 )
= $true )
| ( $true
!= ( 'const/realax/real_le' @ ( sK2 @ X1 @ sK0 ) @ X1 ) )
| ( $true
= ( 'const/realax/real_le' @ ( sK3 @ X0 @ sK0 ) @ sK1 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) ) ),
inference(trivial_inequality_removal,[],[f48]) ).
thf(f48,plain,
! [X0: 'type/realax/real',X1: 'type/realax/real'] :
( ( ( 'const/realax/real_le' @ ( 'const/sets/sup' @ sK0 ) @ X0 )
= $true )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = sK0 ) )
| ( $true
= ( 'const/realax/real_le' @ ( sK3 @ X0 @ sK0 ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( 'const/realax/real_le' @ ( sK2 @ X1 @ sK0 ) @ X1 ) ) ),
inference(superposition,[],[f18,f21]) ).
thf(f21,plain,
! [X0: 'type/realax/real' > $o,X1: 'type/realax/real',X4: 'type/realax/real'] :
( ( $true
= ( 'const/sets/IN' @ 'type/realax/real' @ ( sK3 @ X4 @ X0 ) @ X0 ) )
| ( $true
= ( 'const/realax/real_le' @ ( 'const/sets/sup' @ X0 ) @ X4 ) )
| ( $true
!= ( 'const/realax/real_le' @ ( sK2 @ X1 @ X0 ) @ X1 ) )
| ( 'const/sets/EMPTY' @ ( 'type/realax/real' = X0 ) ) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA074^1 : TPTP v8.2.0. Released v7.0.0.
% 0.03/0.14 % 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
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 07:41:22 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH1_THM_EQU_NAR problem
% 0.14/0.35 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/benchmark/theBenchmark.p
% 0.21/0.37 % (29460)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)
% 0.21/0.37 % (29461)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.37 % (29456)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)
% 0.21/0.37 % (29455)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.37 % (29457)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)
% 0.21/0.37 % (29458)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.37 % (29459)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)
% 0.21/0.37 % (29458)Instruction limit reached!
% 0.21/0.37 % (29458)------------------------------
% 0.21/0.37 % (29458)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (29458)Termination reason: Unknown
% 0.21/0.37 % (29458)Termination phase: Property scanning
% 0.21/0.37 % (29459)Instruction limit reached!
% 0.21/0.37 % (29459)------------------------------
% 0.21/0.37 % (29459)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (29459)Termination reason: Unknown
% 0.21/0.37 % (29459)Termination phase: Property scanning
% 0.21/0.37
% 0.21/0.37 % (29459)Memory used [KB]: 895
% 0.21/0.37 % (29459)Time elapsed: 0.003 s
% 0.21/0.37 % (29459)Instructions burned: 2 (million)
% 0.21/0.37 % (29459)------------------------------
% 0.21/0.37 % (29459)------------------------------
% 0.21/0.37
% 0.21/0.37 % (29458)Memory used [KB]: 895
% 0.21/0.37 % (29458)Time elapsed: 0.003 s
% 0.21/0.37 % (29458)Instructions burned: 2 (million)
% 0.21/0.37 % (29458)------------------------------
% 0.21/0.37 % (29458)------------------------------
% 0.21/0.37 % (29456)Instruction limit reached!
% 0.21/0.37 % (29456)------------------------------
% 0.21/0.37 % (29456)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (29456)Termination reason: Unknown
% 0.21/0.37 % (29456)Termination phase: Saturation
% 0.21/0.37
% 0.21/0.37 % (29456)Memory used [KB]: 5500
% 0.21/0.37 % (29456)Time elapsed: 0.005 s
% 0.21/0.37 % (29456)Instructions burned: 5 (million)
% 0.21/0.37 % (29456)------------------------------
% 0.21/0.37 % (29456)------------------------------
% 0.21/0.37 % (29460)First to succeed.
% 0.21/0.37 % (29462)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)
% 0.21/0.37 % (29461)Also succeeded, but the first one will report.
% 0.21/0.38 % (29460)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (29460)------------------------------
% 0.21/0.38 % (29460)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (29460)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (29460)Memory used [KB]: 5628
% 0.21/0.38 % (29460)Time elapsed: 0.011 s
% 0.21/0.38 % (29460)Instructions burned: 11 (million)
% 0.21/0.38 % (29460)------------------------------
% 0.21/0.38 % (29460)------------------------------
% 0.21/0.38 % (29454)Success in time 0.022 s
% 0.21/0.38 % Vampire---4.8 exiting
%------------------------------------------------------------------------------