TSTP Solution File: NUM644^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM644^1 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n012.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 : Tue May 21 01:44:04 EDT 2024
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of formulae : 110 ( 59 unt; 13 typ; 0 def)
% Number of atoms : 436 ( 183 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 970 ( 28 ~; 51 |; 0 &; 803 @)
% ( 3 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 12 usr; 9 con; 0-2 aty)
% ( 44 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 182 ( 97 ^ 84 !; 0 ?; 182 :)
% ( 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,
y: nat ).
thf(func_def_3,type,
pl: nat > nat > nat ).
thf(func_def_4,type,
set: $tType ).
thf(func_def_5,type,
esti: nat > set > $o ).
thf(func_def_6,type,
setof: ( nat > $o ) > set ).
thf(func_def_8,type,
n_1: nat ).
thf(func_def_9,type,
suc: nat > nat ).
thf(func_def_19,type,
sK1: set > nat ).
thf(func_def_20,type,
ph2:
!>[X0: $tType] : X0 ).
thf(f344,plain,
$false,
inference(avatar_sat_refutation,[],[f132,f210,f236,f343]) ).
thf(f343,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f342]) ).
thf(f342,plain,
( $false
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f339]) ).
thf(f339,plain,
( ( ( pl @ x @ y )
!= ( pl @ x @ y ) )
| ~ spl0_5 ),
inference(superposition,[],[f30,f330]) ).
thf(f330,plain,
( ! [X0: nat] :
( ( pl @ X0 @ x )
= ( pl @ x @ X0 ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f311]) ).
thf(f311,plain,
( ! [X0: nat] :
( ( ( pl @ X0 @ x )
= ( pl @ x @ X0 ) )
| ( $true = $false ) )
| ~ spl0_5 ),
inference(superposition,[],[f203,f57]) ).
thf(f57,plain,
! [X0: nat] :
( ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) )
= $false )
| ( ( pl @ X0 @ x )
= ( pl @ x @ X0 ) ) ),
inference(equality_proxy_clausification,[],[f56]) ).
thf(f56,plain,
! [X0: nat] :
( ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) )
= $false )
| ( ( ( pl @ x @ X0 )
= ( pl @ X0 @ x ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f53]) ).
thf(f53,plain,
! [X0: nat] :
( ( ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) )
=> ( ( pl @ x @ X0 )
= ( pl @ X0 @ x ) ) )
= $true ),
inference(beta_eta_normalization,[],[f49]) ).
thf(f49,plain,
! [X0: nat] :
( ( ^ [Y0: nat > $o] :
( ( esti @ X0 @ ( setof @ Y0 ) )
=> ( Y0 @ X0 ) )
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) )
= $true ),
inference(heuristic_instantiation,[],[f48]) ).
thf(f48,plain,
! [X1: nat] :
( ( !! @ ( nat > $o )
@ ^ [Y0: nat > $o] :
( ( esti @ X1 @ ( setof @ Y0 ) )
=> ( Y0 @ X1 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f47]) ).
thf(f47,plain,
! [X1: nat] :
( ( ^ [Y0: nat] :
( !! @ ( nat > $o )
@ ^ [Y1: nat > $o] :
( ( esti @ Y0 @ ( setof @ Y1 ) )
=> ( Y1 @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f33]) ).
thf(f33,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( !! @ ( nat > $o )
@ ^ [Y1: nat > $o] :
( ( esti @ Y0 @ ( setof @ Y1 ) )
=> ( Y1 @ Y0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f18,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( !! @ ( nat > $o )
@ ^ [Y1: nat > $o] :
( ( esti @ Y0 @ ( setof @ Y1 ) )
=> ( Y1 @ Y0 ) ) ) )
= $true ),
inference(fool_elimination,[],[f17]) ).
thf(f17,plain,
! [X0: nat > $o,X1: nat] :
( ( esti @ X1 @ ( setof @ X0 ) )
=> ( X0 @ X1 ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X0: nat > $o,X1: nat] :
( ( esti @ X1 @ ( setof @ X0 ) )
=> ( X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',estie) ).
thf(f203,plain,
( ! [X0: nat] :
( $true
= ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f202]) ).
thf(f202,plain,
( spl0_5
<=> ! [X0: nat] :
( $true
= ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f30,plain,
( ( pl @ x @ y )
!= ( pl @ y @ x ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f25,plain,
( ( pl @ x @ y )
!= ( pl @ y @ x ) ),
inference(flattening,[],[f9]) ).
thf(f9,negated_conjecture,
( ( pl @ x @ y )
!= ( pl @ y @ x ) ),
inference(negated_conjecture,[],[f8]) ).
thf(f8,conjecture,
( ( pl @ x @ y )
= ( pl @ y @ x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz6) ).
thf(f236,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f235]) ).
thf(f235,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f234,f36]) ).
thf(f36,plain,
! [X1: nat] :
( ( suc @ X1 )
= ( pl @ X1 @ n_1 ) ),
inference(equality_proxy_clausification,[],[f35]) ).
thf(f35,plain,
! [X1: nat] :
( $true
= ( ( suc @ X1 )
= ( pl @ X1 @ n_1 ) ) ),
inference(beta_eta_normalization,[],[f34]) ).
thf(f34,plain,
! [X1: nat] :
( $true
= ( ^ [Y0: nat] :
( ( suc @ Y0 )
= ( pl @ Y0 @ n_1 ) )
@ X1 ) ),
inference(pi_clausification,[],[f28]) ).
thf(f28,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( ( suc @ Y0 )
= ( pl @ Y0 @ n_1 ) ) )
= $true ),
inference(cnf_transformation,[],[f22]) ).
thf(f22,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( ( suc @ Y0 )
= ( pl @ Y0 @ n_1 ) ) )
= $true ),
inference(fool_elimination,[],[f21]) ).
thf(f21,plain,
! [X0: nat] :
( ( suc @ X0 )
= ( pl @ X0 @ n_1 ) ),
inference(rectify,[],[f4]) ).
thf(f4,axiom,
! [X2: nat] :
( ( suc @ X2 )
= ( pl @ X2 @ n_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4a) ).
thf(f234,plain,
( ( ( pl @ x @ n_1 )
!= ( suc @ x ) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f215,f75]) ).
thf(f75,plain,
! [X1: nat] :
( ( suc @ X1 )
= ( pl @ n_1 @ X1 ) ),
inference(equality_proxy_clausification,[],[f74]) ).
thf(f74,plain,
! [X1: nat] :
( ( ( suc @ X1 )
= ( pl @ n_1 @ X1 ) )
= $true ),
inference(beta_eta_normalization,[],[f73]) ).
thf(f73,plain,
! [X1: nat] :
( ( ^ [Y0: nat] :
( ( suc @ Y0 )
= ( pl @ n_1 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f31]) ).
thf(f31,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( ( suc @ Y0 )
= ( pl @ n_1 @ Y0 ) ) )
= $true ),
inference(cnf_transformation,[],[f14]) ).
thf(f14,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( ( suc @ Y0 )
= ( pl @ n_1 @ Y0 ) ) )
= $true ),
inference(fool_elimination,[],[f13]) ).
thf(f13,plain,
! [X0: nat] :
( ( suc @ X0 )
= ( pl @ n_1 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f5,axiom,
! [X2: nat] :
( ( suc @ X2 )
= ( pl @ n_1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4c) ).
thf(f215,plain,
( ( ( pl @ x @ n_1 )
!= ( pl @ n_1 @ x ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f212]) ).
thf(f212,plain,
( ( $true = $false )
| ( ( pl @ x @ n_1 )
!= ( pl @ n_1 @ x ) )
| ~ spl0_1 ),
inference(superposition,[],[f126,f70]) ).
thf(f70,plain,
! [X0: nat] :
( ( $true
= ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) )
| ( ( pl @ X0 @ x )
!= ( pl @ x @ X0 ) ) ),
inference(equality_proxy_clausification,[],[f69]) ).
thf(f69,plain,
! [X0: nat] :
( ( ( ( pl @ x @ X0 )
= ( pl @ X0 @ x ) )
= $false )
| ( $true
= ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f66]) ).
thf(f66,plain,
! [X0: nat] :
( ( ( ( pl @ x @ X0 )
= ( pl @ X0 @ x ) )
=> ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f62]) ).
thf(f62,plain,
! [X0: nat] :
( $true
= ( ^ [Y0: nat > $o] :
( ( Y0 @ X0 )
=> ( esti @ X0 @ ( setof @ Y0 ) ) )
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ),
inference(heuristic_instantiation,[],[f61]) ).
thf(f61,plain,
! [X1: nat] :
( $true
= ( !! @ ( nat > $o )
@ ^ [Y0: nat > $o] :
( ( Y0 @ X1 )
=> ( esti @ X1 @ ( setof @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f60]) ).
thf(f60,plain,
! [X1: nat] :
( ( ^ [Y0: nat] :
( !! @ ( nat > $o )
@ ^ [Y1: nat > $o] :
( ( Y1 @ Y0 )
=> ( esti @ Y0 @ ( setof @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f26]) ).
thf(f26,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( !! @ ( nat > $o )
@ ^ [Y1: nat > $o] :
( ( Y1 @ Y0 )
=> ( esti @ Y0 @ ( setof @ Y1 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( !! @ ( nat > $o )
@ ^ [Y1: nat > $o] :
( ( Y1 @ Y0 )
=> ( esti @ Y0 @ ( setof @ Y1 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
! [X0: nat > $o,X1: nat] :
( ( X0 @ X1 )
=> ( esti @ X1 @ ( setof @ X0 ) ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X0: nat > $o,X1: nat] :
( ( X0 @ X1 )
=> ( esti @ X1 @ ( setof @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',estii) ).
thf(f126,plain,
( ( ( esti @ n_1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f124]) ).
thf(f124,plain,
( spl0_1
<=> ( ( esti @ n_1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f210,plain,
( spl0_5
| spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f209,f128,f124,f202]) ).
thf(f128,plain,
( spl0_2
<=> ( ( pl
@ ( sK1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) )
@ x )
= ( pl @ x
@ ( sK1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f209,plain,
( ! [X0: nat] :
( ( $true
= ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) )
| ( ( esti @ n_1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) )
= $false ) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f208,f41]) ).
thf(f41,plain,
! [X2: nat,X1: nat] :
( ( pl @ X1 @ ( suc @ X2 ) )
= ( suc @ ( pl @ X1 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f40]) ).
thf(f40,plain,
! [X2: nat,X1: nat] :
( $true
= ( ( pl @ X1 @ ( suc @ X2 ) )
= ( suc @ ( pl @ X1 @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f39]) ).
thf(f39,plain,
! [X2: nat,X1: nat] :
( ( ^ [Y0: nat] :
( ( pl @ X1 @ ( suc @ Y0 ) )
= ( suc @ ( pl @ X1 @ Y0 ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f38]) ).
thf(f38,plain,
! [X1: nat] :
( ( !! @ nat
@ ^ [Y0: nat] :
( ( pl @ X1 @ ( suc @ Y0 ) )
= ( suc @ ( pl @ X1 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f37]) ).
thf(f37,plain,
! [X1: nat] :
( ( ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( pl @ Y0 @ ( suc @ Y1 ) )
= ( suc @ ( pl @ Y0 @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f32]) ).
thf(f32,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( pl @ Y0 @ ( suc @ Y1 ) )
= ( suc @ ( pl @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f20,plain,
( ( !! @ nat
@ ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( pl @ Y0 @ ( suc @ Y1 ) )
= ( suc @ ( pl @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f19]) ).
thf(f19,plain,
! [X0: nat,X1: nat] :
( ( pl @ X1 @ ( suc @ X0 ) )
= ( suc @ ( pl @ X1 @ X0 ) ) ),
inference(rectify,[],[f6]) ).
thf(f6,axiom,
! [X3: nat,X2: nat] :
( ( suc @ ( pl @ X2 @ X3 ) )
= ( pl @ X2 @ ( suc @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4f) ).
thf(f208,plain,
( ! [X0: nat] :
( ( ( pl @ x
@ ( suc
@ ( sK1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) ) )
!= ( suc
@ ( pl @ x
@ ( sK1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) ) ) )
| ( $true
= ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) )
| ( ( esti @ n_1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) )
= $false ) )
| ~ spl0_2 ),
inference(forward_demodulation,[],[f207,f130]) ).
thf(f130,plain,
( ( ( pl
@ ( sK1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) )
@ x )
= ( pl @ x
@ ( sK1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f128]) ).
thf(f207,plain,
! [X0: nat] :
( ( ( pl @ x
@ ( suc
@ ( sK1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) ) )
!= ( suc
@ ( pl
@ ( sK1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) )
@ x ) ) )
| ( $true
= ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) )
| ( ( esti @ n_1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) )
= $false ) ),
inference(forward_demodulation,[],[f184,f46]) ).
thf(f46,plain,
! [X2: nat,X1: nat] :
( ( pl @ ( suc @ X1 ) @ X2 )
= ( suc @ ( pl @ X1 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f45]) ).
thf(f45,plain,
! [X2: nat,X1: nat] :
( $true
= ( ( suc @ ( pl @ X1 @ X2 ) )
= ( pl @ ( suc @ X1 ) @ X2 ) ) ),
inference(beta_eta_normalization,[],[f44]) ).
thf(f44,plain,
! [X2: nat,X1: nat] :
( $true
= ( ^ [Y0: nat] :
( ( suc @ ( pl @ X1 @ Y0 ) )
= ( pl @ ( suc @ X1 ) @ Y0 ) )
@ X2 ) ),
inference(pi_clausification,[],[f43]) ).
thf(f43,plain,
! [X1: nat] :
( ( !! @ nat
@ ^ [Y0: nat] :
( ( suc @ ( pl @ X1 @ Y0 ) )
= ( pl @ ( suc @ X1 ) @ Y0 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f42]) ).
thf(f42,plain,
! [X1: nat] :
( ( ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( suc @ ( pl @ Y0 @ Y1 ) )
= ( pl @ ( suc @ Y0 ) @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f29]) ).
thf(f29,plain,
( $true
= ( !! @ nat
@ ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( suc @ ( pl @ Y0 @ Y1 ) )
= ( pl @ ( suc @ Y0 ) @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
( $true
= ( !! @ nat
@ ^ [Y0: nat] :
( !! @ nat
@ ^ [Y1: nat] :
( ( suc @ ( pl @ Y0 @ Y1 ) )
= ( pl @ ( suc @ Y0 ) @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f15]) ).
thf(f15,plain,
! [X0: nat,X1: nat] :
( ( suc @ ( pl @ X1 @ X0 ) )
= ( pl @ ( suc @ X1 ) @ X0 ) ),
inference(rectify,[],[f7]) ).
thf(f7,axiom,
! [X3: nat,X2: nat] :
( ( suc @ ( pl @ X2 @ X3 ) )
= ( pl @ ( suc @ X2 ) @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4d) ).
thf(f184,plain,
! [X0: nat] :
( ( ( esti @ n_1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) )
= $false )
| ( ( pl @ x
@ ( suc
@ ( sK1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) ) )
!= ( pl
@ ( suc
@ ( sK1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) )
@ x ) )
| ( $true
= ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f178]) ).
thf(f178,plain,
! [X0: nat] :
( ( ( esti @ n_1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) )
= $false )
| ( $true
= ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) )
| ( $true = $false )
| ( ( pl @ x
@ ( suc
@ ( sK1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) ) )
!= ( pl
@ ( suc
@ ( sK1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) )
@ x ) ) ),
inference(superposition,[],[f70,f84]) ).
thf(f84,plain,
! [X2: nat,X1: set] :
( ( ( esti @ ( suc @ ( sK1 @ X1 ) ) @ X1 )
= $false )
| ( ( esti @ n_1 @ X1 )
= $false )
| ( ( esti @ X2 @ X1 )
= $true ) ),
inference(binary_proxy_clausification,[],[f83]) ).
thf(f83,plain,
! [X2: nat,X1: set] :
( ( ( esti @ X2 @ X1 )
= $true )
| ( ( ( esti @ ( sK1 @ X1 ) @ X1 )
=> ( esti @ ( suc @ ( sK1 @ X1 ) ) @ X1 ) )
= $false )
| ( ( esti @ n_1 @ X1 )
= $false ) ),
inference(beta_eta_normalization,[],[f82]) ).
thf(f82,plain,
! [X2: nat,X1: set] :
( ( ( esti @ n_1 @ X1 )
= $false )
| ( $true
= ( ^ [Y0: nat] : ( esti @ Y0 @ X1 )
@ X2 ) )
| ( ( ( esti @ ( sK1 @ X1 ) @ X1 )
=> ( esti @ ( suc @ ( sK1 @ X1 ) ) @ X1 ) )
= $false ) ),
inference(pi_clausification,[],[f81]) ).
thf(f81,plain,
! [X1: set] :
( ( ( esti @ n_1 @ X1 )
= $false )
| ( $true
= ( !! @ nat
@ ^ [Y0: nat] : ( esti @ Y0 @ X1 ) ) )
| ( ( ( esti @ ( sK1 @ X1 ) @ X1 )
=> ( esti @ ( suc @ ( sK1 @ X1 ) ) @ X1 ) )
= $false ) ),
inference(beta_eta_normalization,[],[f80]) ).
thf(f80,plain,
! [X1: set] :
( ( ( esti @ n_1 @ X1 )
= $false )
| ( $true
= ( !! @ nat
@ ^ [Y0: nat] : ( esti @ Y0 @ X1 ) ) )
| ( $false
= ( ^ [Y0: nat] :
( ( esti @ Y0 @ X1 )
=> ( esti @ ( suc @ Y0 ) @ X1 ) )
@ ( sK1 @ X1 ) ) ) ),
inference(sigma_clausification,[],[f79]) ).
thf(f79,plain,
! [X1: set] :
( ( ( !! @ nat
@ ^ [Y0: nat] :
( ( esti @ Y0 @ X1 )
=> ( esti @ ( suc @ Y0 ) @ X1 ) ) )
= $false )
| ( $true
= ( !! @ nat
@ ^ [Y0: nat] : ( esti @ Y0 @ X1 ) ) )
| ( ( esti @ n_1 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f78]) ).
thf(f78,plain,
! [X1: set] :
( ( ( ( !! @ nat
@ ^ [Y0: nat] :
( ( esti @ Y0 @ X1 )
=> ( esti @ ( suc @ Y0 ) @ X1 ) ) )
=> ( !! @ nat
@ ^ [Y0: nat] : ( esti @ Y0 @ X1 ) ) )
= $true )
| ( ( esti @ n_1 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f77]) ).
thf(f77,plain,
! [X1: set] :
( ( ( esti @ n_1 @ X1 )
=> ( ( !! @ nat
@ ^ [Y0: nat] :
( ( esti @ Y0 @ X1 )
=> ( esti @ ( suc @ Y0 ) @ X1 ) ) )
=> ( !! @ nat
@ ^ [Y0: nat] : ( esti @ Y0 @ X1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f76]) ).
thf(f76,plain,
! [X1: set] :
( ( ^ [Y0: set] :
( ( esti @ n_1 @ Y0 )
=> ( ( !! @ nat
@ ^ [Y1: nat] :
( ( esti @ Y1 @ Y0 )
=> ( esti @ ( suc @ Y1 ) @ Y0 ) ) )
=> ( !! @ nat
@ ^ [Y1: nat] : ( esti @ Y1 @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f27]) ).
thf(f27,plain,
( ( !! @ set
@ ^ [Y0: set] :
( ( esti @ n_1 @ Y0 )
=> ( ( !! @ nat
@ ^ [Y1: nat] :
( ( esti @ Y1 @ Y0 )
=> ( esti @ ( suc @ Y1 ) @ Y0 ) ) )
=> ( !! @ nat
@ ^ [Y1: nat] : ( esti @ Y1 @ Y0 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f24]) ).
thf(f24,plain,
( ( !! @ set
@ ^ [Y0: set] :
( ( esti @ n_1 @ Y0 )
=> ( ( !! @ nat
@ ^ [Y1: nat] :
( ( esti @ Y1 @ Y0 )
=> ( esti @ ( suc @ Y1 ) @ Y0 ) ) )
=> ( !! @ nat
@ ^ [Y1: nat] : ( esti @ Y1 @ Y0 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f23]) ).
thf(f23,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/sandbox2/benchmark/theBenchmark.p',ax5) ).
thf(f132,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f121,f128,f124]) ).
thf(f121,plain,
( ( ( esti @ n_1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) )
= $false )
| ( ( pl
@ ( sK1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) )
@ x )
= ( pl @ x
@ ( sK1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f114]) ).
thf(f114,plain,
( ( ( esti @ n_1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) )
= $false )
| ( ( pl
@ ( sK1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) )
@ x )
= ( pl @ x
@ ( sK1
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ x @ Y0 )
= ( pl @ Y0 @ x ) ) ) ) ) )
| ( $true = $false ) ),
inference(superposition,[],[f57,f86]) ).
thf(f86,plain,
! [X0: set] :
( ( $true
= ( esti @ ( sK1 @ X0 ) @ X0 ) )
| ( ( esti @ n_1 @ X0 )
= $false ) ),
inference(condensation,[],[f85]) ).
thf(f85,plain,
! [X2: nat,X1: set] :
( ( ( esti @ ( sK1 @ X1 ) @ X1 )
= $true )
| ( ( esti @ X2 @ X1 )
= $true )
| ( ( esti @ n_1 @ X1 )
= $false ) ),
inference(binary_proxy_clausification,[],[f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM644^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 06:13:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 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/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % (17863)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (17863)Instruction limit reached!
% 0.13/0.37 % (17863)------------------------------
% 0.13/0.37 % (17863)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (17863)Termination reason: Unknown
% 0.13/0.37 % (17863)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (17863)Memory used [KB]: 5500
% 0.13/0.37 % (17863)Time elapsed: 0.003 s
% 0.13/0.37 % (17863)Instructions burned: 3 (million)
% 0.13/0.37 % (17863)------------------------------
% 0.13/0.37 % (17863)------------------------------
% 0.13/0.37 % (17860)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.37 % (17861)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)
% 0.13/0.37 % (17862)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)
% 0.13/0.37 % (17864)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)
% 0.13/0.37 % (17865)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)
% 0.13/0.37 % (17866)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.37 % (17867)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)
% 0.13/0.37 % (17864)Instruction limit reached!
% 0.13/0.37 % (17864)------------------------------
% 0.13/0.37 % (17864)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (17864)Termination reason: Unknown
% 0.13/0.37 % (17864)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (17864)Memory used [KB]: 895
% 0.13/0.37 % (17864)Time elapsed: 0.003 s
% 0.13/0.37 % (17864)Instructions burned: 2 (million)
% 0.13/0.37 % (17864)------------------------------
% 0.13/0.37 % (17864)------------------------------
% 0.13/0.37 % (17865)Refutation not found, incomplete strategy
% 0.13/0.37 % (17865)------------------------------
% 0.13/0.37 % (17865)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (17865)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % (17865)Memory used [KB]: 5500
% 0.13/0.37 % (17865)Time elapsed: 0.004 s
% 0.13/0.37 % (17865)Instructions burned: 2 (million)
% 0.13/0.37 % (17865)------------------------------
% 0.13/0.37 % (17865)------------------------------
% 0.13/0.37 % (17867)Instruction limit reached!
% 0.13/0.37 % (17867)------------------------------
% 0.13/0.37 % (17867)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (17867)Termination reason: Unknown
% 0.13/0.37 % (17867)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (17867)Memory used [KB]: 5500
% 0.13/0.37 % (17867)Time elapsed: 0.004 s
% 0.13/0.37 % (17867)Instructions burned: 3 (million)
% 0.13/0.37 % (17867)------------------------------
% 0.13/0.37 % (17867)------------------------------
% 0.13/0.37 % (17861)Instruction limit reached!
% 0.13/0.37 % (17861)------------------------------
% 0.13/0.37 % (17861)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (17861)Termination reason: Unknown
% 0.13/0.37 % (17861)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (17861)Memory used [KB]: 5500
% 0.13/0.37 % (17861)Time elapsed: 0.005 s
% 0.13/0.37 % (17861)Instructions burned: 4 (million)
% 0.13/0.37 % (17861)------------------------------
% 0.13/0.37 % (17861)------------------------------
% 0.13/0.37 % (17862)Refutation not found, incomplete strategy
% 0.13/0.37 % (17862)------------------------------
% 0.13/0.37 % (17862)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (17862)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % (17862)Memory used [KB]: 5500
% 0.13/0.37 % (17862)Time elapsed: 0.006 s
% 0.13/0.37 % (17862)Instructions burned: 5 (million)
% 0.13/0.37 % (17862)------------------------------
% 0.13/0.37 % (17862)------------------------------
% 0.13/0.37 % (17868)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)
% 0.13/0.38 % (17866)Instruction limit reached!
% 0.13/0.38 % (17866)------------------------------
% 0.13/0.38 % (17866)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (17866)Termination reason: Unknown
% 0.13/0.38 % (17866)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (17866)Memory used [KB]: 5628
% 0.13/0.38 % (17866)Time elapsed: 0.015 s
% 0.13/0.38 % (17866)Instructions burned: 19 (million)
% 0.13/0.38 % (17866)------------------------------
% 0.13/0.38 % (17866)------------------------------
% 0.13/0.39 % (17869)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)
% 0.13/0.39 % (17870)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)
% 0.13/0.39 % (17871)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)
% 0.13/0.39 % (17868)Instruction limit reached!
% 0.13/0.39 % (17868)------------------------------
% 0.13/0.39 % (17868)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (17868)Termination reason: Unknown
% 0.13/0.39 % (17868)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (17868)Memory used [KB]: 5884
% 0.13/0.39 % (17868)Time elapsed: 0.014 s
% 0.13/0.39 % (17868)Instructions burned: 38 (million)
% 0.13/0.39 % (17868)------------------------------
% 0.13/0.39 % (17868)------------------------------
% 0.13/0.39 % (17872)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.39 % (17869)Refutation not found, incomplete strategy
% 0.13/0.39 % (17869)------------------------------
% 0.13/0.39 % (17869)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (17869)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 % (17869)Memory used [KB]: 5500
% 0.13/0.39 % (17869)Time elapsed: 0.004 s
% 0.13/0.39 % (17869)Instructions burned: 3 (million)
% 0.13/0.39 % (17869)------------------------------
% 0.13/0.39 % (17869)------------------------------
% 0.13/0.39 % (17870)Instruction limit reached!
% 0.13/0.39 % (17870)------------------------------
% 0.13/0.39 % (17870)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (17870)Termination reason: Unknown
% 0.13/0.39 % (17870)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (17870)Memory used [KB]: 5500
% 0.13/0.39 % (17870)Time elapsed: 0.004 s
% 0.13/0.39 % (17870)Instructions burned: 3 (million)
% 0.13/0.39 % (17870)------------------------------
% 0.13/0.39 % (17870)------------------------------
% 0.13/0.39 % (17873)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.39 % (17872)Instruction limit reached!
% 0.13/0.39 % (17872)------------------------------
% 0.13/0.39 % (17872)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (17872)Termination reason: Unknown
% 0.13/0.39 % (17872)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (17872)Memory used [KB]: 1023
% 0.13/0.39 % (17872)Time elapsed: 0.007 s
% 0.13/0.39 % (17872)Instructions burned: 7 (million)
% 0.13/0.39 % (17872)------------------------------
% 0.13/0.39 % (17872)------------------------------
% 0.13/0.40 % (17875)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)
% 0.13/0.40 % (17875)Instruction limit reached!
% 0.13/0.40 % (17875)------------------------------
% 0.13/0.40 % (17875)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (17875)Termination reason: Unknown
% 0.13/0.40 % (17875)Termination phase: Property scanning
% 0.13/0.40
% 0.13/0.40 % (17875)Memory used [KB]: 1023
% 0.13/0.40 % (17875)Time elapsed: 0.002 s
% 0.13/0.40 % (17875)Instructions burned: 3 (million)
% 0.13/0.40 % (17875)------------------------------
% 0.13/0.40 % (17875)------------------------------
% 0.13/0.40 % (17874)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)
% 0.13/0.40 % (17874)Instruction limit reached!
% 0.13/0.40 % (17874)------------------------------
% 0.13/0.40 % (17874)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (17874)Termination reason: Unknown
% 0.13/0.40 % (17874)Termination phase: Property scanning
% 0.13/0.40
% 0.13/0.40 % (17874)Memory used [KB]: 895
% 0.13/0.40 % (17874)Time elapsed: 0.003 s
% 0.13/0.40 % (17874)Instructions burned: 3 (million)
% 0.13/0.40 % (17874)------------------------------
% 0.13/0.40 % (17874)------------------------------
% 0.13/0.40 % (17873)Instruction limit reached!
% 0.13/0.40 % (17873)------------------------------
% 0.13/0.40 % (17873)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (17873)Termination reason: Unknown
% 0.13/0.40 % (17873)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (17873)Memory used [KB]: 5628
% 0.13/0.40 % (17873)Time elapsed: 0.014 s
% 0.13/0.40 % (17873)Instructions burned: 17 (million)
% 0.13/0.40 % (17873)------------------------------
% 0.13/0.40 % (17873)------------------------------
% 0.13/0.40 % (17876)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)
% 0.13/0.40 % (17877)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)
% 0.13/0.41 % (17877)Instruction limit reached!
% 0.13/0.41 % (17877)------------------------------
% 0.13/0.41 % (17877)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (17877)Termination reason: Unknown
% 0.13/0.41 % (17877)Termination phase: Saturation
% 0.13/0.41
% 0.13/0.41 % (17877)Memory used [KB]: 5500
% 0.13/0.41 % (17877)Time elapsed: 0.004 s
% 0.13/0.41 % (17877)Instructions burned: 3 (million)
% 0.13/0.41 % (17877)------------------------------
% 0.13/0.41 % (17877)------------------------------
% 0.13/0.41 % (17879)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)
% 0.13/0.41 % (17876)Refutation not found, incomplete strategy
% 0.13/0.41 % (17876)------------------------------
% 0.13/0.41 % (17876)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (17876)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.41
% 0.13/0.41
% 0.13/0.41 % (17876)Memory used [KB]: 5500
% 0.13/0.41 % (17876)Time elapsed: 0.005 s
% 0.13/0.41 % (17876)Instructions burned: 4 (million)
% 0.13/0.41 % (17876)------------------------------
% 0.13/0.41 % (17876)------------------------------
% 0.13/0.41 % (17878)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.41 % (17879)Refutation not found, incomplete strategy
% 0.13/0.41 % (17879)------------------------------
% 0.13/0.41 % (17879)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (17879)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.41
% 0.13/0.41
% 0.13/0.41 % (17879)Memory used [KB]: 5500
% 0.13/0.41 % (17879)Time elapsed: 0.005 s
% 0.13/0.41 % (17879)Instructions burned: 9 (million)
% 0.13/0.41 % (17879)------------------------------
% 0.13/0.41 % (17879)------------------------------
% 0.13/0.41 % (17878)Instruction limit reached!
% 0.13/0.41 % (17878)------------------------------
% 0.13/0.41 % (17878)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (17878)Termination reason: Unknown
% 0.13/0.41 % (17878)Termination phase: Saturation
% 0.13/0.41
% 0.13/0.41 % (17878)Memory used [KB]: 5500
% 0.13/0.41 % (17878)Time elapsed: 0.005 s
% 0.13/0.41 % (17878)Instructions burned: 4 (million)
% 0.13/0.41 % (17878)------------------------------
% 0.13/0.41 % (17878)------------------------------
% 0.20/0.41 % (17880)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.42 % (17881)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.42 % (17882)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)
% 0.20/0.42 % (17881)Instruction limit reached!
% 0.20/0.42 % (17881)------------------------------
% 0.20/0.42 % (17881)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (17881)Termination reason: Unknown
% 0.20/0.42 % (17881)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (17881)Memory used [KB]: 5500
% 0.20/0.42 % (17881)Time elapsed: 0.028 s
% 0.20/0.42 % (17881)Instructions burned: 7 (million)
% 0.20/0.42 % (17881)------------------------------
% 0.20/0.42 % (17881)------------------------------
% 0.20/0.42 % (17883)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)
% 0.20/0.42 % (17884)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.42 % (17882)Refutation not found, incomplete strategy
% 0.20/0.42 % (17882)------------------------------
% 0.20/0.42 % (17882)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (17882)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 % (17882)Memory used [KB]: 5500
% 0.20/0.42 % (17882)Time elapsed: 0.003 s
% 0.20/0.42 % (17882)Instructions burned: 2 (million)
% 0.20/0.42 % (17882)------------------------------
% 0.20/0.42 % (17882)------------------------------
% 0.20/0.42 % (17884)Instruction limit reached!
% 0.20/0.42 % (17884)------------------------------
% 0.20/0.42 % (17884)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (17884)Termination reason: Unknown
% 0.20/0.42 % (17884)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (17884)Memory used [KB]: 5500
% 0.20/0.42 % (17884)Time elapsed: 0.004 s
% 0.20/0.42 % (17884)Instructions burned: 6 (million)
% 0.20/0.42 % (17884)------------------------------
% 0.20/0.42 % (17884)------------------------------
% 0.20/0.42 % (17885)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)
% 0.20/0.43 % (17885)Refutation not found, incomplete strategy
% 0.20/0.43 % (17885)------------------------------
% 0.20/0.43 % (17885)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (17885)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.43
% 0.20/0.43
% 0.20/0.43 % (17885)Memory used [KB]: 5500
% 0.20/0.43 % (17885)Time elapsed: 0.005 s
% 0.20/0.43 % (17885)Instructions burned: 4 (million)
% 0.20/0.43 % (17885)------------------------------
% 0.20/0.43 % (17885)------------------------------
% 0.20/0.43 % (17888)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)
% 0.20/0.44 % (17883)Instruction limit reached!
% 0.20/0.44 % (17883)------------------------------
% 0.20/0.44 % (17883)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (17888)Refutation not found, incomplete strategy
% 0.20/0.44 % (17888)------------------------------
% 0.20/0.44 % (17888)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (17888)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % (17888)Memory used [KB]: 5500
% 0.20/0.44 % (17888)Time elapsed: 0.002 s
% 0.20/0.44 % (17888)Instructions burned: 3 (million)
% 0.20/0.44 % (17888)------------------------------
% 0.20/0.44 % (17888)------------------------------
% 0.20/0.44 % (17883)Termination reason: Unknown
% 0.20/0.44 % (17883)Termination phase: Saturation
% 0.20/0.44
% 0.20/0.44 % (17883)Memory used [KB]: 5628
% 0.20/0.44 % (17883)Time elapsed: 0.038 s
% 0.20/0.44 % (17883)Instructions burned: 21 (million)
% 0.20/0.44 % (17883)------------------------------
% 0.20/0.44 % (17883)------------------------------
% 0.20/0.44 % (17886)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.44 % (17887)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)
% 0.20/0.44 % (17889)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)
% 0.20/0.44 % (17890)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.20/0.45 % (17891)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.45 % (17890)Instruction limit reached!
% 0.20/0.45 % (17890)------------------------------
% 0.20/0.45 % (17890)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (17890)Termination reason: Unknown
% 0.20/0.45 % (17890)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (17890)Memory used [KB]: 5628
% 0.20/0.45 % (17890)Time elapsed: 0.008 s
% 0.20/0.45 % (17890)Instructions burned: 18 (million)
% 0.20/0.45 % (17890)------------------------------
% 0.20/0.45 % (17890)------------------------------
% 0.20/0.45 % (17891)Instruction limit reached!
% 0.20/0.45 % (17891)------------------------------
% 0.20/0.45 % (17891)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (17891)Termination reason: Unknown
% 0.20/0.45 % (17891)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (17891)Memory used [KB]: 1023
% 0.20/0.45 % (17891)Time elapsed: 0.004 s
% 0.20/0.45 % (17891)Instructions burned: 3 (million)
% 0.20/0.45 % (17891)------------------------------
% 0.20/0.45 % (17891)------------------------------
% 0.20/0.46 % (17892)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.46 % (17889)Refutation not found, incomplete strategy
% 0.20/0.46 % (17889)------------------------------
% 0.20/0.46 % (17889)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (17889)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 % (17889)Memory used [KB]: 5628
% 0.20/0.46 % (17889)Time elapsed: 0.021 s
% 0.20/0.46 % (17889)Instructions burned: 27 (million)
% 0.20/0.46 % (17889)------------------------------
% 0.20/0.46 % (17889)------------------------------
% 0.20/0.46 % (17893)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 (2999ds/127Mi)
% 0.20/0.47 % (17892)Instruction limit reached!
% 0.20/0.47 % (17892)------------------------------
% 0.20/0.47 % (17892)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (17892)Termination reason: Unknown
% 0.20/0.47 % (17892)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (17892)Memory used [KB]: 5628
% 0.20/0.47 % (17892)Time elapsed: 0.012 s
% 0.20/0.47 % (17892)Instructions burned: 30 (million)
% 0.20/0.47 % (17892)------------------------------
% 0.20/0.47 % (17892)------------------------------
% 0.20/0.48 % (17860)Instruction limit reached!
% 0.20/0.48 % (17860)------------------------------
% 0.20/0.48 % (17860)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (17860)Termination reason: Unknown
% 0.20/0.48 % (17860)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (17860)Memory used [KB]: 6524
% 0.20/0.48 % (17860)Time elapsed: 0.108 s
% 0.20/0.48 % (17860)Instructions burned: 184 (million)
% 0.20/0.48 % (17860)------------------------------
% 0.20/0.48 % (17860)------------------------------
% 0.20/0.48 % (17894)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)
% 0.20/0.48 % (17895)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)
% 0.20/0.48 % (17895)Instruction limit reached!
% 0.20/0.48 % (17895)------------------------------
% 0.20/0.48 % (17895)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (17895)Termination reason: Unknown
% 0.20/0.48 % (17895)Termination phase: Property scanning
% 0.20/0.48
% 0.20/0.48 % (17895)Memory used [KB]: 895
% 0.20/0.48 % (17895)Time elapsed: 0.002 s
% 0.20/0.48 % (17895)Instructions burned: 3 (million)
% 0.20/0.48 % (17895)------------------------------
% 0.20/0.48 % (17895)------------------------------
% 0.20/0.49 % (17897)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)
% 0.20/0.49 % (17896)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)
% 0.20/0.49 % (17896)Refutation not found, incomplete strategy
% 0.20/0.49 % (17896)------------------------------
% 0.20/0.49 % (17896)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (17896)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 % (17896)Memory used [KB]: 5500
% 0.20/0.49 % (17896)Time elapsed: 0.003 s
% 0.20/0.49 % (17896)Instructions burned: 3 (million)
% 0.20/0.49 % (17896)------------------------------
% 0.20/0.49 % (17896)------------------------------
% 0.20/0.50 % (17894)First to succeed.
% 0.20/0.50 % (17898)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 theBenchmark for (2998ds/107Mi)
% 0.20/0.50 % (17894)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (17894)------------------------------
% 0.20/0.50 % (17894)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50 % (17894)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (17894)Memory used [KB]: 5628
% 0.20/0.50 % (17894)Time elapsed: 0.023 s
% 0.20/0.50 % (17894)Instructions burned: 44 (million)
% 0.20/0.50 % (17894)------------------------------
% 0.20/0.50 % (17894)------------------------------
% 0.20/0.50 % (17859)Success in time 0.141 s
% 0.20/0.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------