TSTP Solution File: NUM636^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM636^1 : TPTP v8.1.2. Released v3.7.0.
% 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 : n010.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 08:13:38 EDT 2024
% Result : Theorem 0.13s 0.42s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 20
% Syntax : Number of formulae : 92 ( 20 unt; 12 typ; 0 def)
% Number of atoms : 385 ( 180 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 542 ( 98 ~; 75 |; 6 &; 345 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 45 ( 45 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 148 ( 38 ^ 105 !; 4 ?; 148 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_7,type,
set: $tType ).
thf(func_def_0,type,
nat: $tType ).
thf(func_def_1,type,
x: nat ).
thf(func_def_2,type,
suc: nat > nat ).
thf(func_def_3,type,
set: $tType ).
thf(func_def_4,type,
esti: nat > set > $o ).
thf(func_def_5,type,
setof: ( nat > $o ) > set ).
thf(func_def_7,type,
n_1: nat ).
thf(func_def_10,type,
sK0: set > nat ).
thf(func_def_11,type,
sF1: nat ).
thf(func_def_14,type,
ph3:
!>[X0: $tType] : X0 ).
thf(f335,plain,
$false,
inference(subsumption_resolution,[],[f334,f36]) ).
thf(f36,plain,
n_1 != x,
inference(superposition,[],[f32,f35]) ).
thf(f35,plain,
( x
= ( suc @ x ) ),
inference(forward_demodulation,[],[f33,f34]) ).
thf(f34,plain,
x = sF1,
inference(definition_folding,[],[f27,f33]) ).
thf(f27,plain,
( x
= ( suc @ x ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f15,plain,
( x
= ( suc @ x ) ),
inference(flattening,[],[f7]) ).
thf(f7,negated_conjecture,
( x
!= ( suc @ x ) ),
inference(negated_conjecture,[],[f6]) ).
thf(f6,conjecture,
( x
!= ( suc @ x ) ),
file('/export/starexec/sandbox/tmp/tmp.NUwbVinJLG/Vampire---4.8_11244',satz2) ).
thf(f33,plain,
( ( suc @ x )
= sF1 ),
introduced(function_definition,[]) ).
thf(f32,plain,
! [X0: nat] :
( n_1
!= ( suc @ X0 ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f17,plain,
! [X0: nat] :
( n_1
!= ( suc @ X0 ) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X2: nat] :
( n_1
!= ( suc @ X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.NUwbVinJLG/Vampire---4.8_11244',ax3) ).
thf(f334,plain,
n_1 = x,
inference(equality_proxy_clausification,[],[f333]) ).
thf(f333,plain,
( ( x = n_1 )
= $true ),
inference(not_proxy_clausification,[],[f332]) ).
thf(f332,plain,
( ( x != n_1 )
= $false ),
inference(trivial_inequality_removal,[],[f331]) ).
thf(f331,plain,
( ( $true = $false )
| ( ( x != n_1 )
= $false ) ),
inference(boolean_simplification,[],[f330]) ).
thf(f330,plain,
( ( ~ $true = $true )
| ( ( x != n_1 )
= $false ) ),
inference(boolean_simplification,[],[f329]) ).
thf(f329,plain,
( ( ( x != n_1 )
= $false )
| ( ( x != x )
= $true ) ),
inference(beta_eta_normalization,[],[f304]) ).
thf(f304,plain,
( ( ( ^ [Y0: nat] : ( x != Y0 )
@ x )
= $true )
| ( ( ^ [Y0: nat] : ( x != Y0 )
@ n_1 )
= $false ) ),
inference(superposition,[],[f125,f295]) ).
thf(f295,plain,
( x
= ( sK0
@ ( setof
@ ^ [Y0: nat] : ( x != Y0 ) ) ) ),
inference(subsumption_resolution,[],[f294,f36]) ).
thf(f294,plain,
( ( n_1 = x )
| ( x
= ( sK0
@ ( setof
@ ^ [Y0: nat] : ( x != Y0 ) ) ) ) ),
inference(equality_resolution,[],[f284]) ).
thf(f284,plain,
! [X0: nat] :
( ( x != X0 )
| ( n_1 = X0 )
| ( x
= ( sK0
@ ( setof
@ ^ [Y0: nat] : ( X0 != Y0 ) ) ) ) ),
inference(superposition,[],[f38,f271]) ).
thf(f271,plain,
! [X0: nat] :
( ( ( suc
@ ( sK0
@ ( setof
@ ^ [Y0: nat] : ( X0 != Y0 ) ) ) )
= X0 )
| ( n_1 = X0 ) ),
inference(equality_proxy_clausification,[],[f270]) ).
thf(f270,plain,
! [X0: nat] :
( ( ( X0 = n_1 )
= $true )
| ( ( suc
@ ( sK0
@ ( setof
@ ^ [Y0: nat] : ( X0 != Y0 ) ) ) )
= X0 ) ),
inference(not_proxy_clausification,[],[f269]) ).
thf(f269,plain,
! [X0: nat] :
( ( ( X0 != n_1 )
= $false )
| ( ( suc
@ ( sK0
@ ( setof
@ ^ [Y0: nat] : ( X0 != Y0 ) ) ) )
= X0 ) ),
inference(beta_eta_normalization,[],[f229]) ).
thf(f229,plain,
! [X0: nat] :
( ( ( ^ [Y0: nat] : ( X0 != Y0 )
@ n_1 )
= $false )
| ( ( suc
@ ( sK0
@ ( setof
@ ^ [Y0: nat] : ( X0 != Y0 ) ) ) )
= X0 ) ),
inference(leibniz_equality_elimination,[],[f228]) ).
thf(f228,plain,
! [X0: nat,X1: nat > $o] :
( ( ( X1 @ ( suc @ ( sK0 @ ( setof @ X1 ) ) ) )
= $false )
| ( ( X1 @ X0 )
= $true )
| ( ( X1 @ n_1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f212]) ).
thf(f212,plain,
! [X0: nat,X1: nat > $o] :
( ( $true != $true )
| ( ( X1 @ ( suc @ ( sK0 @ ( setof @ X1 ) ) ) )
= $false )
| ( ( X1 @ X0 )
= $true )
| ( ( X1 @ n_1 )
= $false ) ),
inference(superposition,[],[f28,f202]) ).
thf(f202,plain,
! [X0: nat > $o,X1: nat] :
( ( ( X0 @ ( suc @ ( sK0 @ ( setof @ X0 ) ) ) )
= $false )
| ( ( esti @ X1 @ ( setof @ X0 ) )
= $true )
| ( ( X0 @ n_1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f193]) ).
thf(f193,plain,
! [X0: nat > $o,X1: nat] :
( ( ( esti @ X1 @ ( setof @ X0 ) )
= $true )
| ( ( X0 @ n_1 )
= $false )
| ( ( X0 @ ( suc @ ( sK0 @ ( setof @ X0 ) ) ) )
= $false )
| ( $true != $true ) ),
inference(superposition,[],[f108,f94]) ).
thf(f94,plain,
! [X0: nat > $o,X1: nat] :
( ( ( esti @ X1 @ ( setof @ X0 ) )
= $true )
| ( ( X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f90]) ).
thf(f90,plain,
! [X0: nat > $o,X1: nat] :
( ( ( esti @ X1 @ ( setof @ X0 ) )
= $true )
| ( $true != $true )
| ( ( X0 @ X1 )
= $false ) ),
inference(superposition,[],[f26,f73]) ).
thf(f73,plain,
! [X0: nat,X1: nat > $o] :
( ( ( X1 @ X0 )
= $true )
| ( ( X1 @ X0 )
= $false ) ),
inference(not_proxy_clausification,[],[f72]) ).
thf(f72,plain,
! [X0: nat,X1: nat > $o] :
( ( ( X1 @ X0 )
= $true )
| ( ( ~ ( X1 @ X0 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f71]) ).
thf(f71,plain,
! [X0: nat,X1: nat > $o] :
( ( ( X1 @ X0 )
= $true )
| ( ( ^ [Y0: nat] :
~ ( X1 @ Y0 )
@ X0 )
= $true ) ),
inference(trivial_inequality_removal,[],[f68]) ).
thf(f68,plain,
! [X0: nat,X1: nat > $o] :
( ( ( X1 @ X0 )
= $true )
| ( ( ^ [Y0: nat] :
~ ( X1 @ Y0 )
@ X0 )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f28,f46]) ).
thf(f46,plain,
! [X0: nat,X4: nat > $o] :
( ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
~ ( X4 @ Y0 ) ) )
= $true )
| ( ( X4 @ X0 )
= $true ) ),
inference(not_proxy_clausification,[],[f45]) ).
thf(f45,plain,
! [X0: nat,X4: nat > $o] :
( ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
~ ( X4 @ Y0 ) ) )
= $true )
| ( ( ~ ( X4 @ X0 ) )
!= $true ) ),
inference(beta_eta_normalization,[],[f43]) ).
thf(f43,plain,
! [X0: nat,X4: nat > $o] :
( ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
~ ( X4 @ Y0 ) ) )
= $true )
| ( ( ^ [Y0: nat] :
~ ( X4 @ Y0 )
@ X0 )
!= $true ) ),
inference(primitive_instantiation,[],[f26]) ).
thf(f26,plain,
! [X0: nat,X1: nat > $o] :
( ( ( X1 @ X0 )
!= $true )
| ( ( esti @ X0 @ ( setof @ X1 ) )
= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f22,plain,
! [X0: nat,X1: nat > $o] :
( ( ( esti @ X0 @ ( setof @ X1 ) )
= $true )
| ( ( X1 @ X0 )
!= $true ) ),
inference(ennf_transformation,[],[f12]) ).
thf(f12,plain,
! [X0: nat,X1: nat > $o] :
( ( ( X1 @ X0 )
= $true )
=> ( ( esti @ X0 @ ( setof @ X1 ) )
= $true ) ),
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
! [X0: nat,X1: nat > $o] :
( ( X1 @ X0 )
=> ( esti @ X0 @ ( setof @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X1: nat,X0: nat > $o] :
( ( X0 @ X1 )
=> ( esti @ X1 @ ( setof @ X0 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.NUwbVinJLG/Vampire---4.8_11244',estii) ).
thf(f108,plain,
! [X0: nat > $o,X1: nat] :
( ( ( esti @ n_1 @ ( setof @ X0 ) )
!= $true )
| ( ( X0 @ ( suc @ ( sK0 @ ( setof @ X0 ) ) ) )
= $false )
| ( ( esti @ X1 @ ( setof @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f106]) ).
thf(f106,plain,
! [X0: nat > $o,X1: nat] :
( ( ( esti @ n_1 @ ( setof @ X0 ) )
!= $true )
| ( ( esti @ X1 @ ( setof @ X0 ) )
= $true )
| ( ( X0 @ ( suc @ ( sK0 @ ( setof @ X0 ) ) ) )
= $false )
| ( $true != $true ) ),
inference(superposition,[],[f31,f94]) ).
thf(f31,plain,
! [X0: set,X1: nat] :
( ( ( esti @ ( suc @ ( sK0 @ X0 ) ) @ X0 )
!= $true )
| ( $true
!= ( esti @ n_1 @ X0 ) )
| ( ( esti @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f25,plain,
! [X0: set] :
( ! [X1: nat] :
( ( esti @ X1 @ X0 )
= $true )
| ( ( ( esti @ ( suc @ ( sK0 @ X0 ) ) @ X0 )
!= $true )
& ( $true
= ( esti @ ( sK0 @ X0 ) @ X0 ) ) )
| ( $true
!= ( esti @ n_1 @ X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f24]) ).
thf(f24,plain,
! [X0: set] :
( ? [X2: nat] :
( ( ( esti @ ( suc @ X2 ) @ X0 )
!= $true )
& ( $true
= ( esti @ X2 @ X0 ) ) )
=> ( ( ( esti @ ( suc @ ( sK0 @ X0 ) ) @ X0 )
!= $true )
& ( $true
= ( esti @ ( sK0 @ X0 ) @ X0 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f23,plain,
! [X0: set] :
( ! [X1: nat] :
( ( esti @ X1 @ X0 )
= $true )
| ? [X2: nat] :
( ( ( esti @ ( suc @ X2 ) @ X0 )
!= $true )
& ( $true
= ( esti @ X2 @ X0 ) ) )
| ( $true
!= ( esti @ n_1 @ X0 ) ) ),
inference(rectify,[],[f21]) ).
thf(f21,plain,
! [X0: set] :
( ! [X2: nat] :
( $true
= ( esti @ X2 @ X0 ) )
| ? [X1: nat] :
( ( ( esti @ ( suc @ X1 ) @ X0 )
!= $true )
& ( ( esti @ X1 @ X0 )
= $true ) )
| ( $true
!= ( esti @ n_1 @ X0 ) ) ),
inference(flattening,[],[f20]) ).
thf(f20,plain,
! [X0: set] :
( ! [X2: nat] :
( $true
= ( esti @ X2 @ X0 ) )
| ? [X1: nat] :
( ( ( esti @ ( suc @ X1 ) @ X0 )
!= $true )
& ( ( esti @ X1 @ X0 )
= $true ) )
| ( $true
!= ( esti @ n_1 @ X0 ) ) ),
inference(ennf_transformation,[],[f10]) ).
thf(f10,plain,
! [X0: set] :
( ( $true
= ( esti @ n_1 @ X0 ) )
=> ( ! [X1: nat] :
( ( ( esti @ X1 @ X0 )
= $true )
=> ( ( esti @ ( suc @ X1 ) @ X0 )
= $true ) )
=> ! [X2: nat] :
( $true
= ( esti @ X2 @ X0 ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f9,plain,
! [X0: set] :
( ( esti @ n_1 @ X0 )
=> ( ! [X1: nat] :
( ( esti @ X1 @ X0 )
=> ( esti @ ( suc @ X1 ) @ X0 ) )
=> ! [X2: nat] : ( esti @ X2 @ X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X1: set] :
( ( esti @ n_1 @ X1 )
=> ( ! [X2: nat] :
( ( esti @ X2 @ X1 )
=> ( esti @ ( suc @ X2 ) @ X1 ) )
=> ! [X2: nat] : ( esti @ X2 @ X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.NUwbVinJLG/Vampire---4.8_11244',ax5) ).
thf(f28,plain,
! [X0: nat,X1: nat > $o] :
( ( ( esti @ X0 @ ( setof @ X1 ) )
!= $true )
| ( ( X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
! [X0: nat,X1: nat > $o] :
( ( ( esti @ X0 @ ( setof @ X1 ) )
!= $true )
| ( ( X1 @ X0 )
= $true ) ),
inference(ennf_transformation,[],[f14]) ).
thf(f14,plain,
! [X1: nat > $o,X0: nat] :
( ( ( esti @ X0 @ ( setof @ X1 ) )
= $true )
=> ( ( X1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f13]) ).
thf(f13,plain,
! [X0: nat,X1: nat > $o] :
( ( esti @ X0 @ ( setof @ X1 ) )
=> ( X1 @ X0 ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X1: nat,X0: nat > $o] :
( ( esti @ X1 @ ( setof @ X0 ) )
=> ( X0 @ X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.NUwbVinJLG/Vampire---4.8_11244',estie) ).
thf(f38,plain,
! [X0: nat] :
( ( x
!= ( suc @ X0 ) )
| ( x = X0 ) ),
inference(superposition,[],[f29,f35]) ).
thf(f29,plain,
! [X0: nat,X1: nat] :
( ( ( suc @ X0 )
!= ( suc @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f19,plain,
! [X0: nat,X1: nat] :
( ( X0 = X1 )
| ( ( suc @ X0 )
!= ( suc @ X1 ) ) ),
inference(ennf_transformation,[],[f16]) ).
thf(f16,plain,
! [X1: nat,X0: nat] :
( ( X0 != X1 )
=> ( ( suc @ X0 )
!= ( suc @ X1 ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
! [X2: nat,X3: nat] :
( ( X2 != X3 )
=> ( ( suc @ X2 )
!= ( suc @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.NUwbVinJLG/Vampire---4.8_11244',satz1) ).
thf(f125,plain,
! [X3: nat > $o] :
( ( ( X3 @ ( sK0 @ ( setof @ X3 ) ) )
= $true )
| ( ( X3 @ n_1 )
= $false ) ),
inference(not_proxy_clausification,[],[f124]) ).
thf(f124,plain,
! [X3: nat > $o] :
( ( ( X3 @ n_1 )
= $false )
| ( ( ~ ( X3 @ ( sK0 @ ( setof @ X3 ) ) ) )
= $false ) ),
inference(not_proxy_clausification,[],[f123]) ).
thf(f123,plain,
! [X3: nat > $o] :
( ( ( ~ ( X3 @ n_1 ) )
= $true )
| ( ( ~ ( X3 @ ( sK0 @ ( setof @ X3 ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f122]) ).
thf(f122,plain,
! [X3: nat > $o] :
( ( ( ~ ( X3
@ ( sK0
@ ( setof
@ ^ [Y0: nat] : ( X3 @ Y0 ) ) ) ) )
= $false )
| ( ( ~ ( X3 @ n_1 ) )
= $true ) ),
inference(boolean_simplification,[],[f121]) ).
thf(f121,plain,
! [X3: nat > $o] :
( ( ( ~ ( X3
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
~ ~ ( X3 @ Y0 ) ) ) ) )
= $false )
| ( ( ~ ( X3 @ n_1 ) )
= $true ) ),
inference(beta_eta_normalization,[],[f113]) ).
thf(f113,plain,
! [X3: nat > $o] :
( ( ( ^ [Y0: nat] :
~ ( X3 @ Y0 )
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
~ ( ^ [Y1: nat] :
~ ( X3 @ Y1 )
@ Y0 ) ) ) )
= $false )
| ( ( ^ [Y0: nat] :
~ ( X3 @ Y0 )
@ n_1 )
= $true ) ),
inference(primitive_instantiation,[],[f81]) ).
thf(f81,plain,
! [X0: nat > $o] :
( ( $false
= ( X0
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
~ ( X0 @ Y0 ) ) ) ) )
| ( $true
= ( X0 @ n_1 ) ) ),
inference(not_proxy_clausification,[],[f80]) ).
thf(f80,plain,
! [X0: nat > $o] :
( ( $true
= ( X0 @ n_1 ) )
| ( $true
= ( ~ ( X0
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
~ ( X0 @ Y0 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f79]) ).
thf(f79,plain,
! [X0: nat > $o] :
( ( $true
= ( X0 @ n_1 ) )
| ( ( ^ [Y0: nat] :
~ ( X0 @ Y0 )
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
~ ( X0 @ Y0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f69]) ).
thf(f69,plain,
! [X0: nat > $o] :
( ( $true
= ( X0 @ n_1 ) )
| ( ( ^ [Y0: nat] :
~ ( X0 @ Y0 )
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
~ ( X0 @ Y0 ) ) ) )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f28,f63]) ).
thf(f63,plain,
! [X0: nat > $o] :
( ( $true
= ( esti
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
~ ( X0 @ Y0 ) ) )
@ ( setof
@ ^ [Y0: nat] :
~ ( X0 @ Y0 ) ) ) )
| ( $true
= ( X0 @ n_1 ) ) ),
inference(trivial_inequality_removal,[],[f61]) ).
thf(f61,plain,
! [X0: nat > $o] :
( ( $true != $true )
| ( $true
= ( X0 @ n_1 ) )
| ( $true
= ( esti
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
~ ( X0 @ Y0 ) ) )
@ ( setof
@ ^ [Y0: nat] :
~ ( X0 @ Y0 ) ) ) ) ),
inference(equality_factoring,[],[f58]) ).
thf(f58,plain,
! [X0: nat > $o,X1: nat] :
( ( $true
= ( esti
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
~ ( X0 @ Y0 ) ) )
@ ( setof
@ ^ [Y0: nat] :
~ ( X0 @ Y0 ) ) ) )
| ( ( esti @ X1
@ ( setof
@ ^ [Y0: nat] :
~ ( X0 @ Y0 ) ) )
= $true )
| ( $true
= ( X0 @ n_1 ) ) ),
inference(trivial_inequality_removal,[],[f57]) ).
thf(f57,plain,
! [X0: nat > $o,X1: nat] :
( ( $true
= ( X0 @ n_1 ) )
| ( ( esti @ X1
@ ( setof
@ ^ [Y0: nat] :
~ ( X0 @ Y0 ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( esti
@ ( sK0
@ ( setof
@ ^ [Y0: nat] :
~ ( X0 @ Y0 ) ) )
@ ( setof
@ ^ [Y0: nat] :
~ ( X0 @ Y0 ) ) ) ) ),
inference(superposition,[],[f30,f46]) ).
thf(f30,plain,
! [X0: set,X1: nat] :
( ( $true
!= ( esti @ n_1 @ X0 ) )
| ( $true
= ( esti @ ( sK0 @ X0 ) @ X0 ) )
| ( ( esti @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUM636^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.08 % 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
% 0.08/0.27 % Computer : n010.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Fri May 3 15:02:52 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.08/0.27 This is a TH0_THM_EQU_NAR problem
% 0.08/0.27 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.NUwbVinJLG/Vampire---4.8_11244
% 0.08/0.28 % (11354)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 (3000ds/27Mi)
% 0.08/0.28 % (11352)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.08/0.28 % (11356)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 (3000ds/2Mi)
% 0.08/0.28 % (11355)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.08/0.28 % (11357)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 (3000ds/275Mi)
% 0.08/0.28 % (11358)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.08/0.28 % (11359)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 (3000ds/3Mi)
% 0.08/0.28 % (11357)Refutation not found, incomplete strategy
% 0.08/0.28 % (11357)------------------------------
% 0.08/0.28 % (11357)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.28 % (11357)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.28
% 0.08/0.28
% 0.08/0.28 % (11355)Instruction limit reached!
% 0.08/0.28 % (11355)------------------------------
% 0.08/0.28 % (11355)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.28 % (11355)Termination reason: Unknown
% 0.08/0.28 % (11355)Termination phase: Saturation
% 0.08/0.28
% 0.08/0.28 % (11355)Memory used [KB]: 5500
% 0.08/0.28 % (11355)Time elapsed: 0.003 s
% 0.08/0.28 % (11355)Instructions burned: 3 (million)
% 0.08/0.28 % (11355)------------------------------
% 0.08/0.28 % (11355)------------------------------
% 0.08/0.28 % (11356)Refutation not found, incomplete strategy
% 0.08/0.28 % (11356)------------------------------
% 0.08/0.28 % (11356)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.28 % (11356)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.28
% 0.08/0.28
% 0.08/0.28 % (11356)Memory used [KB]: 5500
% 0.08/0.28 % (11356)Time elapsed: 0.002 s
% 0.08/0.28 % (11356)Instructions burned: 1 (million)
% 0.08/0.28 % (11356)------------------------------
% 0.08/0.28 % (11356)------------------------------
% 0.08/0.28 % (11357)Memory used [KB]: 5500
% 0.08/0.28 % (11357)Time elapsed: 0.002 s
% 0.08/0.28 % (11357)Instructions burned: 1 (million)
% 0.08/0.28 % (11357)------------------------------
% 0.08/0.28 % (11357)------------------------------
% 0.08/0.28 % (11359)Instruction limit reached!
% 0.08/0.28 % (11359)------------------------------
% 0.08/0.28 % (11359)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.28 % (11359)Termination reason: Unknown
% 0.08/0.28 % (11359)Termination phase: Saturation
% 0.08/0.28
% 0.08/0.28 % (11359)Memory used [KB]: 5500
% 0.08/0.28 % (11359)Time elapsed: 0.003 s
% 0.08/0.28 % (11359)Instructions burned: 3 (million)
% 0.08/0.28 % (11359)------------------------------
% 0.08/0.28 % (11359)------------------------------
% 0.08/0.28 % (11354)Refutation not found, incomplete strategy
% 0.08/0.28 % (11354)------------------------------
% 0.08/0.28 % (11354)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.28 % (11354)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.28
% 0.08/0.28
% 0.08/0.28 % (11354)Memory used [KB]: 5500
% 0.08/0.28 % (11354)Time elapsed: 0.003 s
% 0.08/0.28 % (11354)Instructions burned: 2 (million)
% 0.08/0.28 % (11354)------------------------------
% 0.08/0.28 % (11354)------------------------------
% 0.08/0.29 % (11353)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 (3000ds/4Mi)
% 0.08/0.29 % (11358)Instruction limit reached!
% 0.08/0.29 % (11358)------------------------------
% 0.08/0.29 % (11358)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.29 % (11358)Termination reason: Unknown
% 0.08/0.29 % (11358)Termination phase: Saturation
% 0.08/0.29
% 0.08/0.29 % (11358)Memory used [KB]: 5628
% 0.08/0.29 % (11358)Time elapsed: 0.009 s
% 0.08/0.29 % (11358)Instructions burned: 20 (million)
% 0.08/0.29 % (11358)------------------------------
% 0.08/0.29 % (11358)------------------------------
% 0.08/0.29 % (11353)Instruction limit reached!
% 0.08/0.29 % (11353)------------------------------
% 0.08/0.29 % (11353)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.29 % (11353)Termination reason: Unknown
% 0.08/0.29 % (11353)Termination phase: Saturation
% 0.08/0.29
% 0.08/0.29 % (11353)Memory used [KB]: 5500
% 0.08/0.29 % (11353)Time elapsed: 0.005 s
% 0.08/0.29 % (11353)Instructions burned: 4 (million)
% 0.08/0.29 % (11353)------------------------------
% 0.08/0.29 % (11353)------------------------------
% 0.08/0.29 % (11361)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.08/0.29 % (11362)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.08/0.29 % (11360)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.08/0.29 % (11363)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.08/0.29 % (11364)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.08/0.29 % (11361)Refutation not found, incomplete strategy
% 0.08/0.29 % (11361)------------------------------
% 0.08/0.29 % (11361)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.29 % (11361)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.29
% 0.08/0.29
% 0.08/0.29 % (11361)Memory used [KB]: 5500
% 0.08/0.29 % (11361)Time elapsed: 0.002 s
% 0.08/0.29 % (11361)Instructions burned: 2 (million)
% 0.08/0.29 % (11361)------------------------------
% 0.08/0.29 % (11361)------------------------------
% 0.08/0.29 % (11362)Instruction limit reached!
% 0.08/0.29 % (11362)------------------------------
% 0.08/0.29 % (11362)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.29 % (11362)Termination reason: Unknown
% 0.08/0.29 % (11362)Termination phase: Saturation
% 0.08/0.29
% 0.08/0.29 % (11362)Memory used [KB]: 5500
% 0.08/0.29 % (11362)Time elapsed: 0.003 s
% 0.08/0.29 % (11362)Instructions burned: 3 (million)
% 0.08/0.29 % (11362)------------------------------
% 0.08/0.29 % (11362)------------------------------
% 0.08/0.29 % (11364)Instruction limit reached!
% 0.08/0.29 % (11364)------------------------------
% 0.08/0.29 % (11364)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.29 % (11364)Termination reason: Unknown
% 0.08/0.29 % (11364)Termination phase: Saturation
% 0.08/0.29
% 0.08/0.29 % (11364)Memory used [KB]: 1023
% 0.08/0.29 % (11364)Time elapsed: 0.005 s
% 0.08/0.29 % (11364)Instructions burned: 9 (million)
% 0.08/0.29 % (11364)------------------------------
% 0.08/0.29 % (11364)------------------------------
% 0.08/0.29 % (11365)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.08/0.30 % (11367)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.08/0.30 % (11369)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.08/0.30 % (11367)Instruction limit reached!
% 0.08/0.30 % (11367)------------------------------
% 0.08/0.30 % (11367)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.30 % (11367)Termination reason: Unknown
% 0.08/0.30 % (11367)Termination phase: Saturation
% 0.08/0.30
% 0.08/0.30 % (11367)Memory used [KB]: 1023
% 0.08/0.30 % (11367)Time elapsed: 0.003 s
% 0.08/0.30 % (11367)Instructions burned: 4 (million)
% 0.08/0.30 % (11367)------------------------------
% 0.08/0.30 % (11367)------------------------------
% 0.08/0.30 % (11369)Refutation not found, incomplete strategy
% 0.08/0.30 % (11369)------------------------------
% 0.08/0.30 % (11369)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.30 % (11369)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.30
% 0.08/0.30
% 0.08/0.30 % (11369)Memory used [KB]: 5500
% 0.08/0.30 % (11369)Time elapsed: 0.002 s
% 0.08/0.30 % (11369)Instructions burned: 3 (million)
% 0.08/0.30 % (11369)------------------------------
% 0.08/0.30 % (11369)------------------------------
% 0.08/0.30 % (11370)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.08/0.30 % (11360)Instruction limit reached!
% 0.08/0.30 % (11360)------------------------------
% 0.08/0.30 % (11360)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.30 % (11360)Termination reason: Unknown
% 0.08/0.30 % (11360)Termination phase: Saturation
% 0.08/0.30
% 0.08/0.30 % (11365)Instruction limit reached!
% 0.08/0.30 % (11365)------------------------------
% 0.08/0.30 % (11365)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.30 % (11365)Termination reason: Unknown
% 0.08/0.30 % (11365)Termination phase: Saturation
% 0.08/0.30
% 0.08/0.30 % (11365)Memory used [KB]: 5628
% 0.08/0.30 % (11365)Time elapsed: 0.008 s
% 0.08/0.30 % (11365)Instructions burned: 18 (million)
% 0.08/0.30 % (11365)------------------------------
% 0.08/0.30 % (11365)------------------------------
% 0.08/0.30 % (11360)Memory used [KB]: 5884
% 0.08/0.30 % (11360)Time elapsed: 0.013 s
% 0.08/0.30 % (11360)Instructions burned: 38 (million)
% 0.08/0.30 % (11360)------------------------------
% 0.08/0.30 % (11360)------------------------------
% 0.08/0.30 % (11370)Instruction limit reached!
% 0.08/0.30 % (11370)------------------------------
% 0.08/0.30 % (11370)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.30 % (11370)Termination reason: Unknown
% 0.08/0.30 % (11370)Termination phase: Saturation
% 0.08/0.30
% 0.08/0.30 % (11370)Memory used [KB]: 5500
% 0.08/0.30 % (11370)Time elapsed: 0.003 s
% 0.08/0.30 % (11370)Instructions burned: 4 (million)
% 0.08/0.30 % (11370)------------------------------
% 0.08/0.30 % (11370)------------------------------
% 0.08/0.30 % (11366)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.08/0.31 % (11366)Instruction limit reached!
% 0.08/0.31 % (11366)------------------------------
% 0.08/0.31 % (11366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.31 % (11366)Termination reason: Unknown
% 0.08/0.31 % (11366)Termination phase: Saturation
% 0.08/0.31
% 0.08/0.31 % (11366)Memory used [KB]: 5500
% 0.08/0.31 % (11366)Time elapsed: 0.004 s
% 0.08/0.31 % (11366)Instructions burned: 3 (million)
% 0.08/0.31 % (11366)------------------------------
% 0.08/0.31 % (11366)------------------------------
% 0.08/0.31 % (11371)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.08/0.31 % (11372)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.08/0.31 % (11373)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.08/0.31 % (11374)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.08/0.31 % (11371)Instruction limit reached!
% 0.08/0.31 % (11371)------------------------------
% 0.08/0.31 % (11371)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.31 % (11371)Termination reason: Unknown
% 0.08/0.31 % (11371)Termination phase: Saturation
% 0.08/0.31
% 0.08/0.31 % (11371)Memory used [KB]: 5500
% 0.08/0.31 % (11371)Time elapsed: 0.003 s
% 0.08/0.31 % (11371)Instructions burned: 4 (million)
% 0.08/0.31 % (11371)------------------------------
% 0.08/0.31 % (11371)------------------------------
% 0.08/0.31 % (11375)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on Vampire---4 for (2999ds/902Mi)
% 0.08/0.31 % (11375)Refutation not found, incomplete strategy
% 0.08/0.31 % (11375)------------------------------
% 0.08/0.31 % (11375)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.31 % (11375)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.31
% 0.08/0.31
% 0.08/0.31 % (11375)Memory used [KB]: 5500
% 0.08/0.31 % (11375)Time elapsed: 0.002 s
% 0.08/0.31 % (11375)Instructions burned: 2 (million)
% 0.08/0.31 % (11375)------------------------------
% 0.08/0.31 % (11375)------------------------------
% 0.08/0.31 % (11372)Refutation not found, incomplete strategy
% 0.08/0.31 % (11372)------------------------------
% 0.08/0.31 % (11372)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.31 % (11372)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.31
% 0.08/0.31
% 0.08/0.31 % (11372)Memory used [KB]: 5500
% 0.08/0.31 % (11372)Time elapsed: 0.004 s
% 0.08/0.31 % (11372)Instructions burned: 7 (million)
% 0.08/0.31 % (11372)------------------------------
% 0.08/0.31 % (11372)------------------------------
% 0.08/0.31 % (11374)Instruction limit reached!
% 0.08/0.31 % (11374)------------------------------
% 0.08/0.31 % (11374)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.08/0.31 % (11374)Termination reason: Unknown
% 0.08/0.31 % (11374)Termination phase: Saturation
% 0.08/0.31
% 0.08/0.31 % (11374)Memory used [KB]: 5500
% 0.08/0.31 % (11374)Time elapsed: 0.004 s
% 0.08/0.31 % (11374)Instructions burned: 6 (million)
% 0.08/0.31 % (11374)------------------------------
% 0.08/0.31 % (11374)------------------------------
% 0.13/0.32 % (11377)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.13/0.32 % (11378)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.13/0.32 % (11379)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.13/0.32 % (11377)Instruction limit reached!
% 0.13/0.32 % (11377)------------------------------
% 0.13/0.32 % (11377)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32 % (11377)Termination reason: Unknown
% 0.13/0.32 % (11377)Termination phase: Saturation
% 0.13/0.32
% 0.13/0.32 % (11377)Memory used [KB]: 5500
% 0.13/0.32 % (11377)Time elapsed: 0.004 s
% 0.13/0.32 % (11377)Instructions burned: 7 (million)
% 0.13/0.32 % (11377)------------------------------
% 0.13/0.32 % (11377)------------------------------
% 0.13/0.32 % (11380)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on Vampire---4 for (2999ds/779Mi)
% 0.13/0.32 % (11376)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (2999ds/21Mi)
% 0.13/0.32 % (11378)Refutation not found, incomplete strategy
% 0.13/0.32 % (11378)------------------------------
% 0.13/0.32 % (11378)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32 % (11378)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.32
% 0.13/0.32
% 0.13/0.32 % (11378)Memory used [KB]: 5500
% 0.13/0.32 % (11378)Time elapsed: 0.003 s
% 0.13/0.32 % (11378)Instructions burned: 4 (million)
% 0.13/0.32 % (11378)------------------------------
% 0.13/0.32 % (11378)------------------------------
% 0.13/0.33 % (11381)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (2999ds/19Mi)
% 0.13/0.33 % (11381)Refutation not found, incomplete strategy
% 0.13/0.33 % (11381)------------------------------
% 0.13/0.33 % (11381)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33 % (11381)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.33
% 0.13/0.33
% 0.13/0.33 % (11381)Memory used [KB]: 5500
% 0.13/0.33 % (11381)Time elapsed: 0.023 s
% 0.13/0.33 % (11381)Instructions burned: 2 (million)
% 0.13/0.33 % (11381)------------------------------
% 0.13/0.33 % (11381)------------------------------
% 0.13/0.33 % (11382)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.13/0.33 % (11352)Instruction limit reached!
% 0.13/0.33 % (11352)------------------------------
% 0.13/0.33 % (11352)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33 % (11352)Termination reason: Unknown
% 0.13/0.33 % (11352)Termination phase: Saturation
% 0.13/0.33
% 0.13/0.33 % (11352)Memory used [KB]: 6524
% 0.13/0.33 % (11352)Time elapsed: 0.056 s
% 0.13/0.33 % (11352)Instructions burned: 186 (million)
% 0.13/0.33 % (11352)------------------------------
% 0.13/0.33 % (11352)------------------------------
% 0.13/0.33 % (11376)Instruction limit reached!
% 0.13/0.33 % (11376)------------------------------
% 0.13/0.33 % (11376)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33 % (11376)Termination reason: Unknown
% 0.13/0.33 % (11376)Termination phase: Saturation
% 0.13/0.33
% 0.13/0.34 % (11376)Memory used [KB]: 5628
% 0.13/0.34 % (11376)Time elapsed: 0.017 s
% 0.13/0.34 % (11376)Instructions burned: 21 (million)
% 0.13/0.34 % (11376)------------------------------
% 0.13/0.34 % (11376)------------------------------
% 0.13/0.34 % (11383)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.13/0.34 % (11384)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.13/0.34 % (11383)Instruction limit reached!
% 0.13/0.34 % (11383)------------------------------
% 0.13/0.34 % (11383)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.34 % (11383)Termination reason: Unknown
% 0.13/0.34 % (11383)Termination phase: Saturation
% 0.13/0.34
% 0.13/0.34 % (11383)Memory used [KB]: 5628
% 0.13/0.34 % (11383)Time elapsed: 0.008 s
% 0.13/0.34 % (11383)Instructions burned: 19 (million)
% 0.13/0.34 % (11383)------------------------------
% 0.13/0.34 % (11383)------------------------------
% 0.13/0.34 % (11384)Instruction limit reached!
% 0.13/0.34 % (11384)------------------------------
% 0.13/0.34 % (11384)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.34 % (11384)Termination reason: Unknown
% 0.13/0.34 % (11384)Termination phase: Saturation
% 0.13/0.34
% 0.13/0.34 % (11384)Memory used [KB]: 5500
% 0.13/0.34 % (11384)Time elapsed: 0.003 s
% 0.13/0.34 % (11384)Instructions burned: 4 (million)
% 0.13/0.34 % (11384)------------------------------
% 0.13/0.34 % (11384)------------------------------
% 0.13/0.35 % (11382)Refutation not found, incomplete strategy
% 0.13/0.35 % (11382)------------------------------
% 0.13/0.35 % (11382)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35 % (11382)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.35
% 0.13/0.35
% 0.13/0.35 % (11382)Memory used [KB]: 5628
% 0.13/0.35 % (11382)Time elapsed: 0.044 s
% 0.13/0.35 % (11382)Instructions burned: 55 (million)
% 0.13/0.35 % (11382)------------------------------
% 0.13/0.35 % (11382)------------------------------
% 0.13/0.35 % (11385)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2999ds/30Mi)
% 0.13/0.35 % (11386)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2999ds/127Mi)
% 0.13/0.35 % (11387)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2999ds/100Mi)
% 0.13/0.36 % (11387)Refutation not found, incomplete strategy
% 0.13/0.36 % (11387)------------------------------
% 0.13/0.36 % (11387)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (11387)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.36
% 0.13/0.36
% 0.13/0.36 % (11387)Memory used [KB]: 5500
% 0.13/0.36 % (11387)Time elapsed: 0.005 s
% 0.13/0.36 % (11387)Instructions burned: 7 (million)
% 0.13/0.36 % (11387)------------------------------
% 0.13/0.36 % (11387)------------------------------
% 0.13/0.36 % (11388)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 Vampire---4 for (2999ds/3Mi)
% 0.13/0.36 % (11388)Instruction limit reached!
% 0.13/0.36 % (11388)------------------------------
% 0.13/0.36 % (11388)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (11388)Termination reason: Unknown
% 0.13/0.36 % (11388)Termination phase: Saturation
% 0.13/0.36
% 0.13/0.36 % (11388)Memory used [KB]: 5500
% 0.13/0.36 % (11388)Time elapsed: 0.003 s
% 0.13/0.36 % (11388)Instructions burned: 4 (million)
% 0.13/0.36 % (11388)------------------------------
% 0.13/0.36 % (11388)------------------------------
% 0.13/0.36 % (11389)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 Vampire---4 for (2999ds/20Mi)
% 0.13/0.36 % (11389)Refutation not found, incomplete strategy
% 0.13/0.36 % (11389)------------------------------
% 0.13/0.36 % (11389)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (11389)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.36
% 0.13/0.36
% 0.13/0.36 % (11389)Memory used [KB]: 5500
% 0.13/0.36 % (11389)Time elapsed: 0.002 s
% 0.13/0.36 % (11389)Instructions burned: 2 (million)
% 0.13/0.36 % (11389)------------------------------
% 0.13/0.36 % (11389)------------------------------
% 0.13/0.37 % (11390)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 Vampire---4 for (2999ds/86Mi)
% 0.13/0.37 % (11385)Instruction limit reached!
% 0.13/0.37 % (11385)------------------------------
% 0.13/0.37 % (11385)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (11385)Termination reason: Unknown
% 0.13/0.37 % (11385)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (11385)Memory used [KB]: 5628
% 0.13/0.37 % (11385)Time elapsed: 0.022 s
% 0.13/0.37 % (11385)Instructions burned: 31 (million)
% 0.13/0.37 % (11385)------------------------------
% 0.13/0.37 % (11385)------------------------------
% 0.13/0.37 % (11391)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on Vampire---4 for (2999ds/107Mi)
% 0.13/0.37 % (11391)Refutation not found, incomplete strategy
% 0.13/0.37 % (11391)------------------------------
% 0.13/0.37 % (11391)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (11391)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % (11391)Memory used [KB]: 5500
% 0.13/0.37 % (11391)Time elapsed: 0.002 s
% 0.13/0.37 % (11391)Instructions burned: 2 (million)
% 0.13/0.37 % (11391)------------------------------
% 0.13/0.37 % (11391)------------------------------
% 0.13/0.38 % (11393)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (2998ds/448Mi)
% 0.13/0.38 % (11392)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on Vampire---4 for (2999ds/39Mi)
% 0.13/0.39 % (11386)Instruction limit reached!
% 0.13/0.39 % (11386)------------------------------
% 0.13/0.39 % (11386)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (11386)Termination reason: Unknown
% 0.13/0.39 % (11386)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (11386)Memory used [KB]: 6268
% 0.13/0.39 % (11386)Time elapsed: 0.042 s
% 0.13/0.39 % (11386)Instructions burned: 130 (million)
% 0.13/0.39 % (11386)------------------------------
% 0.13/0.39 % (11386)------------------------------
% 0.13/0.39 % (11390)Instruction limit reached!
% 0.13/0.39 % (11390)------------------------------
% 0.13/0.39 % (11390)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (11390)Termination reason: Unknown
% 0.13/0.39 % (11390)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (11390)Memory used [KB]: 5884
% 0.13/0.39 % (11390)Time elapsed: 0.028 s
% 0.13/0.39 % (11390)Instructions burned: 86 (million)
% 0.13/0.39 % (11390)------------------------------
% 0.13/0.39 % (11390)------------------------------
% 0.13/0.40 % (11392)Instruction limit reached!
% 0.13/0.40 % (11392)------------------------------
% 0.13/0.40 % (11392)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (11392)Termination reason: Unknown
% 0.13/0.40 % (11392)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (11395)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on Vampire---4 for (2998ds/98Mi)
% 0.13/0.40 % (11392)Memory used [KB]: 5884
% 0.13/0.40 % (11392)Time elapsed: 0.022 s
% 0.13/0.40 % (11392)Instructions burned: 40 (million)
% 0.13/0.40 % (11392)------------------------------
% 0.13/0.40 % (11392)------------------------------
% 0.13/0.40 % (11394)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on Vampire---4 for (2998ds/46Mi)
% 0.13/0.41 % (11396)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on Vampire---4 for (2998ds/507Mi)
% 0.13/0.42 % (11396)Refutation not found, incomplete strategy
% 0.13/0.42 % (11396)------------------------------
% 0.13/0.42 % (11396)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42 % (11396)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.42
% 0.13/0.42
% 0.13/0.42 % (11396)Memory used [KB]: 5500
% 0.13/0.42 % (11396)Time elapsed: 0.002 s
% 0.13/0.42 % (11396)Instructions burned: 3 (million)
% 0.13/0.42 % (11396)------------------------------
% 0.13/0.42 % (11396)------------------------------
% 0.13/0.42 % (11394)First to succeed.
% 0.13/0.42 % (11395)Refutation not found, incomplete strategy
% 0.13/0.42 % (11395)------------------------------
% 0.13/0.42 % (11395)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42 % (11395)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.42
% 0.13/0.42
% 0.13/0.42 % (11395)Memory used [KB]: 1151
% 0.13/0.42 % (11395)Time elapsed: 0.019 s
% 0.13/0.42 % (11395)Instructions burned: 40 (million)
% 0.13/0.42 % (11395)------------------------------
% 0.13/0.42 % (11395)------------------------------
% 0.13/0.42 % (11394)Refutation found. Thanks to Tanya!
% 0.13/0.42 % SZS status Theorem for Vampire---4
% 0.13/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.13/0.42 % (11394)------------------------------
% 0.13/0.42 % (11394)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42 % (11394)Termination reason: Refutation
% 0.13/0.42
% 0.13/0.42 % (11394)Memory used [KB]: 5628
% 0.13/0.42 % (11394)Time elapsed: 0.019 s
% 0.13/0.42 % (11394)Instructions burned: 37 (million)
% 0.13/0.42 % (11394)------------------------------
% 0.13/0.42 % (11394)------------------------------
% 0.13/0.42 % (11351)Success in time 0.147 s
% 0.13/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------