TSTP Solution File: SEV171^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV171^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:12:14 EDT 2024
% Result : Theorem 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 10
% Syntax : Number of formulae : 58 ( 7 unt; 6 typ; 0 def)
% Number of atoms : 237 ( 136 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 746 ( 58 ~; 51 |; 8 &; 565 @)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 495 ( 495 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 7 usr; 7 con; 0-2 aty)
% ( 27 !!; 21 ??; 0 @@+; 0 @@-)
% Number of variables : 361 ( 281 ^ 71 !; 8 ?; 361 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_15,type,
sK1: ( a > ( a > a > a ) > a ) > a ).
thf(func_def_16,type,
sK2: ( a > ( a > a > a ) > a ) > a ).
thf(func_def_17,type,
sK3: ( a > ( a > a > a ) > a ) > a ).
thf(func_def_18,type,
ph4:
!>[X0: $tType] : X0 ).
thf(f124,plain,
$false,
inference(avatar_sat_refutation,[],[f93,f99,f111,f123]) ).
thf(f123,plain,
( spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f122,f91,f87]) ).
thf(f87,plain,
( spl0_2
<=> ! [X8: a] :
( ( ^ [Y0: a > a > a] :
( sK3
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ Y1 ) ) )
!= ( ^ [Y0: a > a > a] : X8 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f91,plain,
( spl0_3
<=> ! [X4: a > ( a > a > a ) > a,X5: a] :
( ( ( ^ [Y0: a,Y1: a > a > a] : Y0 )
!= X4 )
| ( ( sK1
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X4 @ Y0 @ Y1 ) ) )
!= ( sK1
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) ) )
| ( ( X4
@ ( sK3
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X4 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: a > a > a] : X5 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f122,plain,
( ! [X0: a] :
( ( ^ [Y0: a > a > a] : X0 )
!= ( ^ [Y0: a > a > a] :
( sK3
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ Y1 ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[],[f121]) ).
thf(f121,plain,
( ! [X0: a] :
( ( ^ [Y0: a > a > a] : X0 )
!= ( ^ [Y0: a,Y1: a > a > a] : Y0
@ ( sK3
@ ^ [Y0: a,Y1: a > a > a] :
( Y1 @ Y0
@ ( ^ [Y2: a,Y3: a > a > a] : Y2
@ Y0
@ Y1 ) ) ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f116]) ).
thf(f116,plain,
( ! [X0: a] :
( ( ( ^ [Y0: a,Y1: a > a > a] : Y0 )
!= ( ^ [Y0: a,Y1: a > a > a] : Y0 ) )
| ( ( ^ [Y0: a > a > a] : X0 )
!= ( ^ [Y0: a,Y1: a > a > a] : Y0
@ ( sK3
@ ^ [Y0: a,Y1: a > a > a] :
( Y1 @ Y0
@ ( ^ [Y2: a,Y3: a > a > a] : Y2
@ Y0
@ Y1 ) ) ) ) ) )
| ~ spl0_3 ),
inference(equality_resolution,[],[f92]) ).
thf(f92,plain,
( ! [X4: a > ( a > a > a ) > a,X5: a] :
( ( ( sK1
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X4 @ Y0 @ Y1 ) ) )
!= ( sK1
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) ) )
| ( ( ^ [Y0: a,Y1: a > a > a] : Y0 )
!= X4 )
| ( ( X4
@ ( sK3
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X4 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: a > a > a] : X5 ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f91]) ).
thf(f111,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f110]) ).
thf(f110,plain,
( $false
| ~ spl0_4 ),
inference(equality_resolution,[],[f98]) ).
thf(f98,plain,
( ! [X0: a > ( a > a > a ) > a] :
( ( ^ [Y0: a > a > a] : X0 )
!= ( ^ [Y0: a > a > a,Y1: a,Y2: a > a > a] : Y1 ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f97]) ).
thf(f97,plain,
( spl0_4
<=> ! [X0: a > ( a > a > a ) > a] :
( ( ^ [Y0: a > a > a] : X0 )
!= ( ^ [Y0: a > a > a,Y1: a,Y2: a > a > a] : Y1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f99,plain,
( spl0_4
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f95,f87,f97,f97]) ).
thf(f95,plain,
( ! [X0: a > ( a > a > a ) > a,X1: a > ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] : X1 )
!= ( ^ [Y0: a > a > a,Y1: a,Y2: a > a > a] : Y1 ) )
| ( ( ^ [Y0: a > a > a] : X0 )
!= ( ^ [Y0: a > a > a,Y1: a,Y2: a > a > a] : Y1 ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f94]) ).
thf(f94,plain,
( ! [X0: a > ( a > a > a ) > a,X1: a > ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a,Y1: a,Y2: a > a > a] : Y1 )
!= ( ^ [Y0: a > a > a,Y1: a,Y2: a > a > a] : ( X1 @ Y1 @ Y2 ) ) )
| ( ( ^ [Y0: a > a > a,Y1: a,Y2: a > a > a] : ( X0 @ Y1 @ Y2 ) )
!= ( ^ [Y0: a > a > a,Y1: a,Y2: a > a > a] : Y1 ) ) )
| ~ spl0_2 ),
inference(equality_resolution,[],[f88]) ).
thf(f88,plain,
( ! [X8: a] :
( ( ^ [Y0: a > a > a] :
( sK3
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ Y1 ) ) )
!= ( ^ [Y0: a > a > a] : X8 ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f87]) ).
thf(f93,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f67,f87,f91]) ).
thf(f67,plain,
! [X6: a,X4: a > ( a > a > a ) > a,X5: a] :
( ( ( ^ [Y0: a,Y1: a > a > a] : Y0 )
!= X4 )
| ( ( ^ [Y0: a > a > a] : X6 )
!= ( ^ [Y0: a > a > a] :
( sK3
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ Y1 ) ) ) )
| ( ( X4
@ ( sK3
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X4 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: a > a > a] : X5 ) )
| ( ( sK1
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X4 @ Y0 @ Y1 ) ) )
!= ( sK1
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) ) ) ),
inference(beta_eta_normalization,[],[f60]) ).
thf(f60,plain,
! [X6: a,X4: a > ( a > a > a ) > a,X5: a] :
( ( ( ^ [Y0: a,Y1: a > a > a] : Y0 )
!= ( ^ [Y0: a,Y1: a > a > a] : ( X4 @ Y0 @ Y1 ) ) )
| ( ( sK1
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X4 @ Y0 @ Y1 ) ) )
!= ( ^ [Y0: a,Y1: a] : Y1
@ ( sK1
@ ^ [Y0: a,Y1: a > a > a] :
( Y1 @ Y0
@ ( ^ [Y2: a,Y3: a > a > a] : Y2
@ Y0
@ Y1 ) ) )
@ ( ^ [Y0: a,Y1: a > a > a] : Y0
@ ( sK1
@ ^ [Y0: a,Y1: a > a > a] :
( Y1 @ Y0
@ ( ^ [Y2: a,Y3: a > a > a] : Y2
@ Y0
@ Y1 ) ) )
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ( ( ^ [Y0: a > a > a] : X6 )
!= ( ^ [Y0: a,Y1: a > a > a] : Y0
@ ( sK3
@ ^ [Y0: a,Y1: a > a > a] :
( Y1 @ Y0
@ ( ^ [Y2: a,Y3: a > a > a] : Y2
@ Y0
@ Y1 ) ) ) ) )
| ( ( X4
@ ( sK3
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X4 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: a > a > a] : X5 ) ) ),
inference(constrained_superposition,[],[f32,f43]) ).
thf(f43,plain,
! [X2: a > a > a,X0: a > ( a > a > a ) > a,X1: a] :
( ( ( X2
@ ( sK2
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X0 @ Y0 @ Y1 ) ) )
@ ( X0
@ ( sK2
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X0 @ Y0 @ Y1 ) ) )
@ X2 ) )
= ( X2
@ ( sK1
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X0 @ Y0 @ Y1 ) ) )
@ ( X0
@ ( sK1
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X0 @ Y0 @ Y1 ) ) )
@ X2 ) ) )
| ( ( ^ [Y0: a > a > a] : X1 )
!= ( X0
@ ( sK3
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f37]) ).
thf(f37,plain,
! [X2: a > a > a,X0: a > ( a > a > a ) > a,X1: a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( sK2
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ ( X0 @ Y1 @ Y2 ) ) )
@ ( X0
@ ( sK2
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ ( X0 @ Y1 @ Y2 ) ) )
@ Y0 ) )
@ X2 )
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK1
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ ( X0 @ Y1 @ Y2 ) ) )
@ ( X0
@ ( sK1
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ ( X0 @ Y1 @ Y2 ) ) )
@ Y0 ) )
@ X2 ) )
| ( ( ^ [Y0: a > a > a] : X1 )
!= ( X0
@ ( sK3
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ),
inference(argument_congruence,[],[f36]) ).
thf(f36,plain,
! [X0: a > ( a > a > a ) > a,X1: a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( sK1
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ ( X0 @ Y1 @ Y2 ) ) )
@ ( X0
@ ( sK1
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ ( X0 @ Y1 @ Y2 ) ) )
@ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK2
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ ( X0 @ Y1 @ Y2 ) ) )
@ ( X0
@ ( sK2
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ ( X0 @ Y1 @ Y2 ) ) )
@ Y0 ) ) ) )
| ( ( ^ [Y0: a > a > a] : X1 )
!= ( X0
@ ( sK3
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f33]) ).
thf(f33,plain,
! [X0: a > ( a > a > a ) > a,X1: a] :
( ( ( ^ [Y0: a > a > a] :
( X0
@ ( sK3
@ ^ [Y1: a,Y2: a > a > a] :
( Y2
@ ( ^ [Y3: a,Y4: a > a > a] : Y3
@ Y1
@ Y2 )
@ ( X0 @ Y1 @ Y2 ) ) )
@ Y0 ) )
!= ( ^ [Y0: a > a > a] : X1 ) )
| ( ( ^ [Y0: a,Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a,Y3: a > a > a] : Y2
@ Y0
@ Y1 )
@ ( X0 @ Y0 @ Y1 ) )
@ ( sK2
@ ^ [Y0: a,Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a,Y3: a > a > a] : Y2
@ Y0
@ Y1 )
@ ( X0 @ Y0 @ Y1 ) ) ) )
= ( ^ [Y0: a,Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a,Y3: a > a > a] : Y2
@ Y0
@ Y1 )
@ ( X0 @ Y0 @ Y1 ) )
@ ( sK1
@ ^ [Y0: a,Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a,Y3: a > a > a] : Y2
@ Y0
@ Y1 )
@ ( X0 @ Y0 @ Y1 ) ) ) ) ) ),
inference(equality_resolution,[],[f22]) ).
thf(f22,plain,
! [X2: a,X1: a > ( a > a > a ) > a] :
( ( ( X1 @ ( sK3 @ X1 ) )
!= ( ^ [Y0: a > a > a] : ( Y0 @ ( sK3 @ X1 ) @ X2 ) ) )
| ( ( X1 @ ( sK1 @ X1 ) )
= ( X1 @ ( sK2 @ X1 ) ) ) ),
inference(equality_proxy_clausification,[],[f21]) ).
thf(f21,plain,
! [X2: a,X1: a > ( a > a > a ) > a] :
( ( ( ( ^ [Y0: a > a > a] : ( Y0 @ ( sK3 @ X1 ) @ X2 ) )
= ( X1 @ ( sK3 @ X1 ) ) )
= $false )
| ( ( X1 @ ( sK1 @ X1 ) )
= ( X1 @ ( sK2 @ X1 ) ) ) ),
inference(beta_eta_normalization,[],[f20]) ).
thf(f20,plain,
! [X2: a,X1: a > ( a > a > a ) > a] :
( ( $false
= ( ^ [Y0: a] :
( ( ^ [Y1: a > a > a] : ( Y1 @ ( sK3 @ X1 ) @ Y0 ) )
= ( X1 @ ( sK3 @ X1 ) ) )
@ X2 ) )
| ( ( X1 @ ( sK1 @ X1 ) )
= ( X1 @ ( sK2 @ X1 ) ) ) ),
inference(pi_clausification,[],[f19]) ).
thf(f19,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ( X1 @ ( sK1 @ X1 ) )
= ( X1 @ ( sK2 @ X1 ) ) )
| ( $false
= ( ?? @ a
@ ^ [Y0: a] :
( ( ^ [Y1: a > a > a] : ( Y1 @ ( sK3 @ X1 ) @ Y0 ) )
= ( X1 @ ( sK3 @ X1 ) ) ) ) ) ),
inference(equality_proxy_clausification,[],[f18]) ).
thf(f18,plain,
! [X1: a > ( a > a > a ) > a] :
( ( $true
= ( ( X1 @ ( sK2 @ X1 ) )
= ( X1 @ ( sK1 @ X1 ) ) ) )
| ( $false
= ( ?? @ a
@ ^ [Y0: a] :
( ( ^ [Y1: a > a > a] : ( Y1 @ ( sK3 @ X1 ) @ Y0 ) )
= ( X1 @ ( sK3 @ X1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f17]) ).
thf(f17,plain,
! [X1: a > ( a > a > a ) > a] :
( ( $true
= ( ( X1 @ ( sK2 @ X1 ) )
= ( X1 @ ( sK1 @ X1 ) ) ) )
| ( ( ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( ^ [Y2: a > a > a] : ( Y2 @ Y0 @ Y1 ) )
= ( X1 @ Y0 ) ) )
@ ( sK3 @ X1 ) )
= $false ) ),
inference(sigma_clausification,[],[f16]) ).
thf(f16,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( ^ [Y2: a > a > a] : ( Y2 @ Y0 @ Y1 ) )
= ( X1 @ Y0 ) ) ) )
= $false )
| ( $true
= ( ( X1 @ ( sK2 @ X1 ) )
= ( X1 @ ( sK1 @ X1 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f14]) ).
thf(f14,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ( ( ( X1 @ ( sK2 @ X1 ) )
= ( X1 @ ( sK1 @ X1 ) ) )
=> ( ( sK2 @ X1 )
= ( sK1 @ X1 ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( ^ [Y2: a > a > a] : ( Y2 @ Y0 @ Y1 ) )
= ( X1 @ Y0 ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f13]) ).
thf(f13,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ( ^ [Y0: a] :
( ( ( X1 @ Y0 )
= ( X1 @ ( sK1 @ X1 ) ) )
=> ( Y0
= ( sK1 @ X1 ) ) )
@ ( sK2 @ X1 ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( ^ [Y2: a > a > a] : ( Y2 @ Y0 @ Y1 ) )
= ( X1 @ Y0 ) ) ) )
= $false ) ),
inference(sigma_clausification,[],[f12]) ).
thf(f12,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( X1 @ Y0 )
= ( X1 @ ( sK1 @ X1 ) ) )
=> ( Y0
= ( sK1 @ X1 ) ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( ^ [Y2: a > a > a] : ( Y2 @ Y0 @ Y1 ) )
= ( X1 @ Y0 ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f11]) ).
thf(f11,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( X1 @ Y1 )
= ( X1 @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ ( sK1 @ X1 ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( ^ [Y2: a > a > a] : ( Y2 @ Y0 @ Y1 ) )
= ( X1 @ Y0 ) ) ) )
= $false ) ),
inference(sigma_clausification,[],[f10]) ).
thf(f10,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( X1 @ Y1 )
= ( X1 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( ^ [Y2: a > a > a] : ( Y2 @ Y0 @ Y1 ) )
= ( X1 @ Y0 ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f9,plain,
! [X1: a > ( a > a > a ) > a] :
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( ^ [Y2: a > a > a] : ( Y2 @ Y0 @ Y1 ) )
= ( X1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( X1 @ Y1 )
= ( X1 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f8]) ).
thf(f8,plain,
! [X1: a > ( a > a > a ) > a] :
( $false
= ( ^ [Y0: a > ( a > a > a ) > a] :
( ( !! @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ( ^ [Y3: a > a > a] : ( Y3 @ Y1 @ Y2 ) )
= ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f7]) ).
thf(f7,plain,
( ( ?? @ ( a > ( a > a > a ) > a )
@ ^ [Y0: a > ( a > a > a ) > a] :
( ( !! @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ( ^ [Y3: a > a > a] : ( Y3 @ Y1 @ Y2 ) )
= ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f6]) ).
thf(f6,plain,
( ( ~ ( ?? @ ( a > ( a > a > a ) > a )
@ ^ [Y0: a > ( a > a > a ) > a] :
( ( !! @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ( ^ [Y3: a > a > a] : ( Y3 @ Y1 @ Y2 ) )
= ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( ( ~ ( ?? @ ( a > ( a > a > a ) > a )
@ ^ [Y0: a > ( a > a > a ) > a] :
( ( !! @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ( ^ [Y3: a > a > a] : ( Y3 @ Y1 @ Y2 ) )
= ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ? [X0: a > ( a > a > a ) > a] :
( ! [X1: a,X2: a] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) )
& ! [X3: a] :
? [X4: a] :
( ( ^ [X6: a > a > a] : ( X6 @ X3 @ X4 ) )
= ( X0 @ X3 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: a > ( a > a > a ) > a] :
( ! [X1: a,X2: a] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) )
& ! [X3: a] :
? [X4: a,X5: a] :
( ( ^ [X6: a > a > a] : ( X6 @ X3 @ X4 ) )
= ( X0 @ X3 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
? [X0: a > ( a > a > a ) > a] :
( ! [X1: a,X2: a] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) )
& ! [X3: a] :
? [X4: a,X5: a] :
( ( ^ [X6: a > a > a] : ( X6 @ X3 @ X4 ) )
= ( X0 @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM33_pme) ).
thf(f32,plain,
! [X0: a > ( a > a > a ) > a,X1: a] :
( ( ( sK2
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X0 @ Y0 @ Y1 ) ) )
!= ( sK1
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X0 @ Y0 @ Y1 ) ) ) )
| ( ( ^ [Y0: a > a > a] : X1 )
!= ( X0
@ ( sK3
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f29]) ).
thf(f29,plain,
! [X0: a > ( a > a > a ) > a,X1: a] :
( ( ( sK1
@ ^ [Y0: a,Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a,Y3: a > a > a] : Y2
@ Y0
@ Y1 )
@ ( X0 @ Y0 @ Y1 ) ) )
!= ( sK2
@ ^ [Y0: a,Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a,Y3: a > a > a] : Y2
@ Y0
@ Y1 )
@ ( X0 @ Y0 @ Y1 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( X0
@ ( sK3
@ ^ [Y1: a,Y2: a > a > a] :
( Y2
@ ( ^ [Y3: a,Y4: a > a > a] : Y3
@ Y1
@ Y2 )
@ ( X0 @ Y1 @ Y2 ) ) )
@ Y0 ) )
!= ( ^ [Y0: a > a > a] : X1 ) ) ),
inference(equality_resolution,[],[f28]) ).
thf(f28,plain,
! [X2: a,X1: a > ( a > a > a ) > a] :
( ( ( X1 @ ( sK3 @ X1 ) )
!= ( ^ [Y0: a > a > a] : ( Y0 @ ( sK3 @ X1 ) @ X2 ) ) )
| ( ( sK1 @ X1 )
!= ( sK2 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f27]) ).
thf(f27,plain,
! [X2: a,X1: a > ( a > a > a ) > a] :
( ( ( sK1 @ X1 )
!= ( sK2 @ X1 ) )
| ( ( ( ^ [Y0: a > a > a] : ( Y0 @ ( sK3 @ X1 ) @ X2 ) )
= ( X1 @ ( sK3 @ X1 ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f26]) ).
thf(f26,plain,
! [X2: a,X1: a > ( a > a > a ) > a] :
( ( $false
= ( ^ [Y0: a] :
( ( ^ [Y1: a > a > a] : ( Y1 @ ( sK3 @ X1 ) @ Y0 ) )
= ( X1 @ ( sK3 @ X1 ) ) )
@ X2 ) )
| ( ( sK1 @ X1 )
!= ( sK2 @ X1 ) ) ),
inference(pi_clausification,[],[f25]) ).
thf(f25,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ( sK1 @ X1 )
!= ( sK2 @ X1 ) )
| ( $false
= ( ?? @ a
@ ^ [Y0: a] :
( ( ^ [Y1: a > a > a] : ( Y1 @ ( sK3 @ X1 ) @ Y0 ) )
= ( X1 @ ( sK3 @ X1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f24]) ).
thf(f24,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ( sK1 @ X1 )
!= ( sK2 @ X1 ) )
| ( ( ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( ^ [Y2: a > a > a] : ( Y2 @ Y0 @ Y1 ) )
= ( X1 @ Y0 ) ) )
@ ( sK3 @ X1 ) )
= $false ) ),
inference(sigma_clausification,[],[f23]) ).
thf(f23,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( ^ [Y2: a > a > a] : ( Y2 @ Y0 @ Y1 ) )
= ( X1 @ Y0 ) ) ) )
= $false )
| ( ( sK1 @ X1 )
!= ( sK2 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f15]) ).
thf(f15,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ( ( sK2 @ X1 )
= ( sK1 @ X1 ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( ^ [Y2: a > a > a] : ( Y2 @ Y0 @ Y1 ) )
= ( X1 @ Y0 ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV171^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 18:57:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.35 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
% 0.15/0.37 % (4074)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.15/0.37 % (4073)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 (3000ds/27Mi)
% 0.15/0.37 % (4072)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 (3000ds/4Mi)
% 0.15/0.37 % (4075)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 (3000ds/2Mi)
% 0.15/0.37 % (4077)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.15/0.37 % (4076)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 (3000ds/275Mi)
% 0.22/0.37 % (4071)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.22/0.37 % (4074)Refutation not found, incomplete strategy
% 0.22/0.37 % (4074)------------------------------
% 0.22/0.37 % (4074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.37 % (4074)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37
% 0.22/0.37
% 0.22/0.37 % (4073)Refutation not found, incomplete strategy
% 0.22/0.37 % (4073)------------------------------
% 0.22/0.37 % (4073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.37 % (4074)Memory used [KB]: 5500
% 0.22/0.37 % (4074)Time elapsed: 0.004 s
% 0.22/0.37 % (4074)Instructions burned: 1 (million)
% 0.22/0.37 % (4074)------------------------------
% 0.22/0.37 % (4074)------------------------------
% 0.22/0.37 % (4073)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37
% 0.22/0.37 % (4076)Refutation not found, incomplete strategy
% 0.22/0.37 % (4076)------------------------------
% 0.22/0.37 % (4076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.37 % (4075)Instruction limit reached!
% 0.22/0.37 % (4075)------------------------------
% 0.22/0.37 % (4075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.37 % (4076)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37
% 0.22/0.37 % (4075)Termination reason: Unknown
% 0.22/0.37
% 0.22/0.37 % (4075)Termination phase: Saturation
% 0.22/0.37
% 0.22/0.37 % (4076)Memory used [KB]: 5500
% 0.22/0.37 % (4075)Memory used [KB]: 5500
% 0.22/0.37 % (4076)Time elapsed: 0.003 s
% 0.22/0.37 % (4075)Time elapsed: 0.004 s
% 0.22/0.37 % (4076)Instructions burned: 1 (million)
% 0.22/0.37 % (4075)Instructions burned: 2 (million)
% 0.22/0.37 % (4076)------------------------------
% 0.22/0.37 % (4076)------------------------------
% 0.22/0.37 % (4075)------------------------------
% 0.22/0.37 % (4075)------------------------------
% 0.22/0.38
% 0.22/0.38 % (4073)Memory used [KB]: 5500
% 0.22/0.38 % (4073)Time elapsed: 0.004 s
% 0.22/0.38 % (4073)Instructions burned: 2 (million)
% 0.22/0.38 % (4073)------------------------------
% 0.22/0.38 % (4073)------------------------------
% 0.22/0.38 % (4072)Instruction limit reached!
% 0.22/0.38 % (4072)------------------------------
% 0.22/0.38 % (4072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (4078)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.22/0.38 % (4072)Termination reason: Unknown
% 0.22/0.38 % (4072)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (4072)Memory used [KB]: 5500
% 0.22/0.38 % (4072)Time elapsed: 0.006 s
% 0.22/0.38 % (4072)Instructions burned: 5 (million)
% 0.22/0.38 % (4072)------------------------------
% 0.22/0.38 % (4072)------------------------------
% 0.22/0.38 % (4078)Instruction limit reached!
% 0.22/0.38 % (4078)------------------------------
% 0.22/0.38 % (4078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (4078)Termination reason: Unknown
% 0.22/0.38 % (4078)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (4078)Memory used [KB]: 5500
% 0.22/0.38 % (4078)Time elapsed: 0.005 s
% 0.22/0.38 % (4078)Instructions burned: 4 (million)
% 0.22/0.38 % (4078)------------------------------
% 0.22/0.38 % (4078)------------------------------
% 0.22/0.38 % (4077)Instruction limit reached!
% 0.22/0.38 % (4077)------------------------------
% 0.22/0.38 % (4077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (4077)Termination reason: Unknown
% 0.22/0.38 % (4077)Termination phase: Saturation
% 0.22/0.38
% 0.22/0.38 % (4077)Memory used [KB]: 5628
% 0.22/0.38 % (4077)Time elapsed: 0.013 s
% 0.22/0.38 % (4077)Instructions burned: 18 (million)
% 0.22/0.38 % (4077)------------------------------
% 0.22/0.38 % (4077)------------------------------
% 0.22/0.39 % (4081)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)
% 0.22/0.39 % (4083)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)
% 0.22/0.39 % (4084)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)
% 0.22/0.39 % (4085)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)
% 0.22/0.39 % (4083)Refutation not found, incomplete strategy
% 0.22/0.39 % (4083)------------------------------
% 0.22/0.39 % (4083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (4083)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.39
% 0.22/0.39
% 0.22/0.39 % (4083)Memory used [KB]: 5500
% 0.22/0.39 % (4083)Time elapsed: 0.003 s
% 0.22/0.39 % (4083)Instructions burned: 1 (million)
% 0.22/0.39 % (4083)------------------------------
% 0.22/0.39 % (4083)------------------------------
% 0.22/0.39 % (4086)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.39 % (4084)Instruction limit reached!
% 0.22/0.39 % (4084)------------------------------
% 0.22/0.39 % (4084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (4084)Termination reason: Unknown
% 0.22/0.39 % (4084)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (4084)Memory used [KB]: 5500
% 0.22/0.39 % (4084)Time elapsed: 0.004 s
% 0.22/0.39 % (4084)Instructions burned: 3 (million)
% 0.22/0.39 % (4084)------------------------------
% 0.22/0.39 % (4084)------------------------------
% 0.22/0.39 % (4087)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.40 % (4086)Instruction limit reached!
% 0.22/0.40 % (4086)------------------------------
% 0.22/0.40 % (4086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (4086)Termination reason: Unknown
% 0.22/0.40 % (4086)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (4086)Memory used [KB]: 1023
% 0.22/0.40 % (4086)Time elapsed: 0.007 s
% 0.22/0.40 % (4086)Instructions burned: 8 (million)
% 0.22/0.40 % (4086)------------------------------
% 0.22/0.40 % (4086)------------------------------
% 0.22/0.40 % (4090)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)
% 0.22/0.40 % (4085)Refutation not found, incomplete strategy
% 0.22/0.40 % (4085)------------------------------
% 0.22/0.40 % (4085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (4085)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.40
% 0.22/0.40
% 0.22/0.40 % (4085)Memory used [KB]: 5500
% 0.22/0.40 % (4085)Time elapsed: 0.012 s
% 0.22/0.40 % (4085)Instructions burned: 14 (million)
% 0.22/0.40 % (4085)------------------------------
% 0.22/0.40 % (4085)------------------------------
% 0.22/0.40 % (4090)Instruction limit reached!
% 0.22/0.40 % (4090)------------------------------
% 0.22/0.40 % (4090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (4090)Termination reason: Unknown
% 0.22/0.40 % (4090)Termination phase: Saturation
% 0.22/0.40
% 0.22/0.40 % (4090)Memory used [KB]: 5500
% 0.22/0.40 % (4090)Time elapsed: 0.004 s
% 0.22/0.40 % (4090)Instructions burned: 3 (million)
% 0.22/0.40 % (4090)------------------------------
% 0.22/0.40 % (4090)------------------------------
% 0.22/0.41 % (4087)Instruction limit reached!
% 0.22/0.41 % (4087)------------------------------
% 0.22/0.41 % (4087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (4087)Termination reason: Unknown
% 0.22/0.41 % (4087)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (4087)Memory used [KB]: 5628
% 0.22/0.41 % (4087)Time elapsed: 0.013 s
% 0.22/0.41 % (4087)Instructions burned: 16 (million)
% 0.22/0.41 % (4087)------------------------------
% 0.22/0.41 % (4087)------------------------------
% 0.22/0.41 % (4094)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)
% 0.22/0.41 % (4096)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)
% 0.22/0.41 % (4094)Instruction limit reached!
% 0.22/0.41 % (4094)------------------------------
% 0.22/0.41 % (4094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (4094)Termination reason: Unknown
% 0.22/0.41 % (4094)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (4094)Memory used [KB]: 5500
% 0.22/0.41 % (4094)Time elapsed: 0.004 s
% 0.22/0.41 % (4094)Instructions burned: 3 (million)
% 0.22/0.41 % (4094)------------------------------
% 0.22/0.41 % (4094)------------------------------
% 0.22/0.41 % (4081)Instruction limit reached!
% 0.22/0.41 % (4081)------------------------------
% 0.22/0.41 % (4081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (4096)Refutation not found, incomplete strategy
% 0.22/0.41 % (4096)------------------------------
% 0.22/0.41 % (4096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (4096)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.41
% 0.22/0.41
% 0.22/0.41 % (4096)Memory used [KB]: 5500
% 0.22/0.41 % (4096)Time elapsed: 0.005 s
% 0.22/0.41 % (4096)Instructions burned: 4 (million)
% 0.22/0.41 % (4096)------------------------------
% 0.22/0.41 % (4096)------------------------------
% 0.22/0.41 % (4081)Termination reason: Unknown
% 0.22/0.41 % (4081)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (4081)Memory used [KB]: 5628
% 0.22/0.41 % (4081)Time elapsed: 0.023 s
% 0.22/0.41 % (4081)Instructions burned: 37 (million)
% 0.22/0.41 % (4081)------------------------------
% 0.22/0.41 % (4081)------------------------------
% 0.22/0.41 % (4098)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)
% 0.22/0.41 % (4098)Instruction limit reached!
% 0.22/0.41 % (4098)------------------------------
% 0.22/0.41 % (4098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (4098)Termination reason: Unknown
% 0.22/0.41 % (4098)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (4098)Memory used [KB]: 5500
% 0.22/0.41 % (4098)Time elapsed: 0.005 s
% 0.22/0.41 % (4098)Instructions burned: 4 (million)
% 0.22/0.41 % (4098)------------------------------
% 0.22/0.41 % (4098)------------------------------
% 0.22/0.42 % (4101)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.42 % (4102)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)
% 0.22/0.42 % (4102)Refutation not found, incomplete strategy
% 0.22/0.42 % (4102)------------------------------
% 0.22/0.42 % (4102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (4102)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42
% 0.22/0.42 % (4102)Memory used [KB]: 5500
% 0.22/0.42 % (4102)Time elapsed: 0.003 s
% 0.22/0.42 % (4102)Instructions burned: 1 (million)
% 0.22/0.42 % (4102)------------------------------
% 0.22/0.42 % (4102)------------------------------
% 0.22/0.42 % (4101)Instruction limit reached!
% 0.22/0.42 % (4101)------------------------------
% 0.22/0.42 % (4101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (4101)Termination reason: Unknown
% 0.22/0.42 % (4101)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (4101)Memory used [KB]: 5500
% 0.22/0.42 % (4101)Time elapsed: 0.005 s
% 0.22/0.42 % (4101)Instructions burned: 4 (million)
% 0.22/0.42 % (4101)------------------------------
% 0.22/0.42 % (4101)------------------------------
% 0.22/0.42 % (4105)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.42 % (4107)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.43 % (4109)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)
% 0.22/0.43 % (4110)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)
% 0.22/0.43 % (4109)Refutation not found, incomplete strategy
% 0.22/0.43 % (4109)------------------------------
% 0.22/0.43 % (4109)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (4109)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43
% 0.22/0.43 % (4109)Memory used [KB]: 5373
% 0.22/0.43 % (4109)Time elapsed: 0.003 s
% 0.22/0.43 % (4109)Instructions burned: 1 (million)
% 0.22/0.43 % (4109)------------------------------
% 0.22/0.43 % (4109)------------------------------
% 0.22/0.43 % (4107)Instruction limit reached!
% 0.22/0.43 % (4107)------------------------------
% 0.22/0.43 % (4107)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (4107)Termination reason: Unknown
% 0.22/0.43 % (4107)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (4107)Memory used [KB]: 5500
% 0.22/0.43 % (4107)Time elapsed: 0.006 s
% 0.22/0.43 % (4107)Instructions burned: 6 (million)
% 0.22/0.43 % (4107)------------------------------
% 0.22/0.43 % (4107)------------------------------
% 0.22/0.43 % (4113)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.43 % (4115)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)
% 0.22/0.43 % (4113)Instruction limit reached!
% 0.22/0.43 % (4113)------------------------------
% 0.22/0.43 % (4113)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (4113)Termination reason: Unknown
% 0.22/0.43 % (4113)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (4113)Memory used [KB]: 5500
% 0.22/0.43 % (4113)Time elapsed: 0.006 s
% 0.22/0.43 % (4113)Instructions burned: 6 (million)
% 0.22/0.43 % (4113)------------------------------
% 0.22/0.43 % (4113)------------------------------
% 0.22/0.43 % (4116)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.43 % (4116)Refutation not found, incomplete strategy
% 0.22/0.43 % (4116)------------------------------
% 0.22/0.43 % (4116)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (4116)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43
% 0.22/0.43 % (4116)Memory used [KB]: 5500
% 0.22/0.43 % (4116)Time elapsed: 0.003 s
% 0.22/0.43 % (4116)Instructions burned: 1 (million)
% 0.22/0.43 % (4116)------------------------------
% 0.22/0.43 % (4116)------------------------------
% 0.22/0.44 % (4115)Instruction limit reached!
% 0.22/0.44 % (4115)------------------------------
% 0.22/0.44 % (4115)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (4115)Termination reason: Unknown
% 0.22/0.44 % (4115)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (4115)Memory used [KB]: 5500
% 0.22/0.44 % (4115)Time elapsed: 0.006 s
% 0.22/0.44 % (4115)Instructions burned: 6 (million)
% 0.22/0.44 % (4115)------------------------------
% 0.22/0.44 % (4115)------------------------------
% 0.22/0.44 % (4110)Instruction limit reached!
% 0.22/0.44 % (4110)------------------------------
% 0.22/0.44 % (4110)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (4110)Termination reason: Unknown
% 0.22/0.44 % (4110)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (4110)Memory used [KB]: 5628
% 0.22/0.44 % (4110)Time elapsed: 0.017 s
% 0.22/0.44 % (4110)Instructions burned: 21 (million)
% 0.22/0.44 % (4110)------------------------------
% 0.22/0.44 % (4110)------------------------------
% 0.22/0.44 % (4121)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)
% 0.22/0.44 % (4122)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)
% 0.22/0.45 % (4125)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)
% 0.22/0.45 % (4125)Refutation not found, incomplete strategy
% 0.22/0.45 % (4125)------------------------------
% 0.22/0.45 % (4125)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (4125)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45
% 0.22/0.45
% 0.22/0.45 % (4125)Memory used [KB]: 5500
% 0.22/0.45 % (4125)Time elapsed: 0.003 s
% 0.22/0.45 % (4125)Instructions burned: 1 (million)
% 0.22/0.45 % (4125)------------------------------
% 0.22/0.45 % (4125)------------------------------
% 0.22/0.45 % (4127)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.22/0.45 % (4128)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.45 % (4128)Instruction limit reached!
% 0.22/0.45 % (4128)------------------------------
% 0.22/0.45 % (4128)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (4128)Termination reason: Unknown
% 0.22/0.45 % (4128)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (4128)Memory used [KB]: 1023
% 0.22/0.45 % (4128)Time elapsed: 0.004 s
% 0.22/0.45 % (4128)Instructions burned: 3 (million)
% 0.22/0.45 % (4122)Instruction limit reached!
% 0.22/0.45 % (4122)------------------------------
% 0.22/0.45 % (4122)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (4128)------------------------------
% 0.22/0.45 % (4128)------------------------------
% 0.22/0.45 % (4122)Termination reason: Unknown
% 0.22/0.45 % (4122)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (4122)Memory used [KB]: 5628
% 0.22/0.45 % (4122)Time elapsed: 0.034 s
% 0.22/0.45 % (4122)Instructions burned: 19 (million)
% 0.22/0.45 % (4122)------------------------------
% 0.22/0.45 % (4122)------------------------------
% 0.22/0.46 % (4131)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.22/0.46 % (4127)Instruction limit reached!
% 0.22/0.46 % (4127)------------------------------
% 0.22/0.46 % (4127)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (4127)Termination reason: Unknown
% 0.22/0.46 % (4127)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (4127)Memory used [KB]: 5500
% 0.22/0.46 % (4127)Time elapsed: 0.012 s
% 0.22/0.46 % (4127)Instructions burned: 17 (million)
% 0.22/0.46 % (4127)------------------------------
% 0.22/0.46 % (4127)------------------------------
% 0.22/0.46 % (4138)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)
% 0.22/0.47 % (4071)Instruction limit reached!
% 0.22/0.47 % (4071)------------------------------
% 0.22/0.47 % (4071)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (4071)Termination reason: Unknown
% 0.22/0.47 % (4071)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (4071)Memory used [KB]: 6140
% 0.22/0.47 % (4071)Time elapsed: 0.094 s
% 0.22/0.47 % (4071)Instructions burned: 185 (million)
% 0.22/0.47 % (4071)------------------------------
% 0.22/0.47 % (4071)------------------------------
% 0.22/0.47 % (4140)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 (2999ds/100Mi)
% 0.22/0.47 % (4141)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 (2999ds/3Mi)
% 0.22/0.47 % (4140)Refutation not found, incomplete strategy
% 0.22/0.47 % (4140)------------------------------
% 0.22/0.47 % (4140)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (4140)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47 % (4140)Memory used [KB]: 5500
% 0.22/0.47 % (4140)Time elapsed: 0.025 s
% 0.22/0.47 % (4140)Instructions burned: 1 (million)
% 0.22/0.47 % (4140)------------------------------
% 0.22/0.47 % (4140)------------------------------
% 0.22/0.47 % (4141)Instruction limit reached!
% 0.22/0.47 % (4141)------------------------------
% 0.22/0.47 % (4141)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (4141)Termination reason: Unknown
% 0.22/0.47 % (4141)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (4141)Memory used [KB]: 5500
% 0.22/0.47 % (4141)Time elapsed: 0.027 s
% 0.22/0.47 % (4141)Instructions burned: 4 (million)
% 0.22/0.47 % (4141)------------------------------
% 0.22/0.47 % (4141)------------------------------
% 0.22/0.47 % (4131)Instruction limit reached!
% 0.22/0.47 % (4131)------------------------------
% 0.22/0.47 % (4131)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (4131)Termination reason: Unknown
% 0.22/0.47 % (4131)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (4131)Memory used [KB]: 5628
% 0.22/0.47 % (4131)Time elapsed: 0.042 s
% 0.22/0.47 % (4131)Instructions burned: 31 (million)
% 0.22/0.47 % (4131)------------------------------
% 0.22/0.47 % (4131)------------------------------
% 0.22/0.47 % (4146)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 (2999ds/20Mi)
% 0.22/0.48 % (4146)Refutation not found, incomplete strategy
% 0.22/0.48 % (4146)------------------------------
% 0.22/0.48 % (4146)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (4146)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 % (4146)Memory used [KB]: 5500
% 0.22/0.48 % (4146)Time elapsed: 0.003 s
% 0.22/0.48 % (4146)Instructions burned: 1 (million)
% 0.22/0.48 % (4146)------------------------------
% 0.22/0.48 % (4146)------------------------------
% 0.22/0.48 % (4121)First to succeed.
% 0.22/0.48 % (4148)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)
% 0.22/0.48 % (4121)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Theorem for theBenchmark
% 0.22/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.48 % (4121)------------------------------
% 0.22/0.48 % (4121)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (4121)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (4121)Memory used [KB]: 6140
% 0.22/0.48 % (4121)Time elapsed: 0.040 s
% 0.22/0.48 % (4121)Instructions burned: 81 (million)
% 0.22/0.48 % (4121)------------------------------
% 0.22/0.48 % (4121)------------------------------
% 0.22/0.48 % (4070)Success in time 0.117 s
% 0.22/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------