TSTP Solution File: SEV171^5 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV171^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 16:02:06 EDT 2024
% Result : Theorem 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 4
% Syntax : Number of formulae : 48 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 220 ( 130 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 696 ( 54 ~; 47 |; 8 &; 528 @)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 456 ( 456 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 7 usr; 7 con; 0-2 aty)
% ( 26 !!; 13 ??; 0 @@+; 0 @@-)
% Number of variables : 345 ( 266 ^ 71 !; 8 ?; 345 :)
% 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(f120,plain,
$false,
inference(avatar_sat_refutation,[],[f85,f101,f117,f119]) ).
thf(f119,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f118]) ).
thf(f118,plain,
( $false
| ~ spl0_4 ),
inference(equality_resolution,[],[f116]) ).
thf(f116,plain,
( ! [X1: a > ( a > a > a ) > a] :
( ( ^ [Y0: a > a > a,Y1: a,Y2: a > a > a] : Y1 )
!= ( ^ [Y0: a > a > a] : X1 ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f115]) ).
thf(f115,plain,
( spl0_4
<=> ! [X1: a > ( a > a > a ) > a] :
( ( ^ [Y0: a > a > a,Y1: a,Y2: a > a > a] : Y1 )
!= ( ^ [Y0: a > a > a] : X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f117,plain,
( spl0_4
| spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f113,f80,f115,f115]) ).
thf(f80,plain,
( spl0_1
<=> ! [X6: a] :
( ( ^ [Y0: a > a > a] :
( sK1
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ Y1 ) ) )
!= ( ^ [Y0: a > a > a] : X6 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f113,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] : X1 ) )
| ( ( ^ [Y0: a > a > a,Y1: a,Y2: a > a > a] : Y1 )
!= ( ^ [Y0: a > a > a] : X0 ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f112]) ).
thf(f112,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] : Y1 )
!= ( ^ [Y0: a > a > a,Y1: a,Y2: a > a > a] : ( X0 @ Y1 @ Y2 ) ) ) )
| ~ spl0_1 ),
inference(equality_resolution,[],[f81]) ).
thf(f81,plain,
( ! [X6: a] :
( ( ^ [Y0: a > a > a] :
( sK1
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ Y1 ) ) )
!= ( ^ [Y0: a > a > a] : X6 ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f101,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f96,f83,f80]) ).
thf(f83,plain,
( spl0_2
<=> ! [X4: a > ( a > a > a ) > a,X5: a] :
( ( ( X4
@ ( sK1
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X4 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: a > a > a] : X5 ) )
| ( ( ^ [Y0: a,Y1: a > a > a] : Y0 )
!= X4 )
| ( ( sK2
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) )
!= ( sK2
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X4 @ Y0 @ Y1 ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f96,plain,
( ! [X0: a] :
( ( ^ [Y0: a > a > a] : X0 )
!= ( ^ [Y0: a > a > a] :
( sK1
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ Y1 ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f95]) ).
thf(f95,plain,
( ! [X0: a] :
( ( ^ [Y0: a > a > a] : X0 )
!= ( ^ [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 ) ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f94]) ).
thf(f94,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
@ ( sK1
@ ^ [Y0: a,Y1: a > a > a] :
( Y1 @ Y0
@ ( ^ [Y2: a,Y3: a > a > a] : Y2
@ Y0
@ Y1 ) ) ) ) ) )
| ~ spl0_2 ),
inference(equality_resolution,[],[f84]) ).
thf(f84,plain,
( ! [X4: a > ( a > a > a ) > a,X5: a] :
( ( ( sK2
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) )
!= ( sK2
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X4 @ Y0 @ Y1 ) ) ) )
| ( ( ^ [Y0: a,Y1: a > a > a] : Y0 )
!= X4 )
| ( ( X4
@ ( sK1
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X4 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: a > a > a] : X5 ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f83]) ).
thf(f85,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f70,f83,f80]) ).
thf(f70,plain,
! [X6: a,X4: a > ( a > a > a ) > a,X5: a] :
( ( ( ^ [Y0: a > a > a] :
( sK1
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ Y1 ) ) )
!= ( ^ [Y0: a > a > a] : X6 ) )
| ( ( X4
@ ( sK1
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X4 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: a > a > a] : X5 ) )
| ( ( sK2
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ Y0 ) )
!= ( sK2
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X4 @ Y0 @ Y1 ) ) ) )
| ( ( ^ [Y0: a,Y1: a > a > a] : Y0 )
!= X4 ) ),
inference(beta_eta_normalization,[],[f56]) ).
thf(f56,plain,
! [X6: a,X4: a > ( a > a > a ) > a,X5: a] :
( ( ( sK2
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X4 @ Y0 @ Y1 ) ) )
!= ( ^ [Y0: a,Y1: a] : Y1
@ ( sK2
@ ^ [Y0: a,Y1: a > a > a] :
( Y1 @ Y0
@ ( ^ [Y2: a,Y3: a > a > a] : Y2
@ Y0
@ Y1 ) ) )
@ ( ^ [Y0: a,Y1: a > a > a] : Y0
@ ( sK2
@ ^ [Y0: a,Y1: a > a > a] :
( Y1 @ Y0
@ ( ^ [Y2: a,Y3: a > a > a] : Y2
@ Y0
@ Y1 ) ) )
@ ^ [Y0: a,Y1: a] : 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 > a > a] : X6 ) )
| ( ( X4
@ ( sK1
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X4 @ Y0 @ Y1 ) ) ) )
!= ( ^ [Y0: a > a > a] : X5 ) )
| ( ( ^ [Y0: a,Y1: a > a > a] : ( X4 @ Y0 @ Y1 ) )
!= ( ^ [Y0: a,Y1: a > a > a] : Y0 ) ) ),
inference(constrained_superposition,[],[f28,f37]) ).
thf(f37,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
@ ( sK3
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X0 @ Y0 @ Y1 ) ) )
@ ( X0
@ ( sK3
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X0 @ Y0 @ Y1 ) ) )
@ X2 ) ) )
| ( ( ^ [Y0: a > a > a] : X1 )
!= ( X0
@ ( sK1
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f33]) ).
thf(f33,plain,
! [X2: a > a > a,X0: a > ( a > a > a ) > a,X1: a] :
( ( ( ^ [Y0: a > a > a] : X1 )
!= ( X0
@ ( sK1
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X0 @ Y0 @ Y1 ) ) ) ) )
| ( ( ^ [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
@ ( sK3
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ ( X0 @ Y1 @ Y2 ) ) )
@ ( X0
@ ( sK3
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ ( X0 @ Y1 @ Y2 ) ) )
@ Y0 ) )
@ X2 ) ) ),
inference(argument_congruence,[],[f32]) ).
thf(f32,plain,
! [X0: a > ( a > a > a ) > a,X1: a] :
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( sK3
@ ^ [Y1: a,Y2: a > a > a] : ( Y2 @ Y1 @ ( X0 @ Y1 @ Y2 ) ) )
@ ( X0
@ ( sK3
@ ^ [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
@ ( sK1
@ ^ [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] :
( ( ( ^ [Y0: a > a > a] : X1 )
!= ( ^ [Y0: a > a > a] :
( X0
@ ( sK1
@ ^ [Y1: a,Y2: a > a > a] :
( Y2
@ ( ^ [Y3: a,Y4: a > a > a] : Y3
@ Y1
@ Y2 )
@ ( X0 @ Y1 @ Y2 ) ) )
@ Y0 ) ) )
| ( ( ^ [Y0: a,Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a,Y3: a > a > a] : Y2
@ Y0
@ Y1 )
@ ( X0 @ Y0 @ Y1 ) )
@ ( sK3
@ ^ [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 ) )
@ ( sK2
@ ^ [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 @ ( sK1 @ X1 ) )
!= ( ^ [Y0: a > a > a] : ( Y0 @ ( sK1 @ X1 ) @ X2 ) ) )
| ( ( X1 @ ( sK2 @ X1 ) )
= ( X1 @ ( sK3 @ X1 ) ) ) ),
inference(equality_proxy_clausification,[],[f21]) ).
thf(f21,plain,
! [X2: a,X1: a > ( a > a > a ) > a] :
( ( ( X1 @ ( sK2 @ X1 ) )
= ( X1 @ ( sK3 @ X1 ) ) )
| ( ( ( ^ [Y0: a > a > a] : ( Y0 @ ( sK1 @ X1 ) @ X2 ) )
= ( X1 @ ( sK1 @ X1 ) ) )
= $false ) ),
inference(equality_proxy_clausification,[],[f20]) ).
thf(f20,plain,
! [X2: a,X1: a > ( a > a > a ) > a] :
( ( ( ( X1 @ ( sK2 @ X1 ) )
= ( X1 @ ( sK3 @ X1 ) ) )
= $true )
| ( ( ( ^ [Y0: a > a > a] : ( Y0 @ ( sK1 @ X1 ) @ X2 ) )
= ( X1 @ ( sK1 @ X1 ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f18]) ).
thf(f18,plain,
! [X2: a,X1: a > ( a > a > a ) > a] :
( ( $false
= ( ( ( X1 @ ( sK2 @ X1 ) )
= ( X1 @ ( sK3 @ X1 ) ) )
=> ( ( sK3 @ X1 )
= ( sK2 @ X1 ) ) ) )
| ( ( ( ^ [Y0: a > a > a] : ( Y0 @ ( sK1 @ X1 ) @ X2 ) )
= ( X1 @ ( sK1 @ X1 ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f17]) ).
thf(f17,plain,
! [X2: a,X1: a > ( a > a > a ) > a] :
( ( ( ( ^ [Y0: a > a > a] : ( Y0 @ ( sK1 @ X1 ) @ X2 ) )
= ( X1 @ ( sK1 @ X1 ) ) )
= $false )
| ( ( ^ [Y0: a] :
( ( ( X1 @ ( sK2 @ X1 ) )
= ( X1 @ Y0 ) )
=> ( Y0
= ( sK2 @ X1 ) ) )
@ ( sK3 @ X1 ) )
= $false ) ),
inference(sigma_clausification,[],[f16]) ).
thf(f16,plain,
! [X2: a,X1: a > ( a > a > a ) > a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( X1 @ ( sK2 @ X1 ) )
= ( X1 @ Y0 ) )
=> ( Y0
= ( sK2 @ X1 ) ) ) )
= $false )
| ( ( ( ^ [Y0: a > a > a] : ( Y0 @ ( sK1 @ X1 ) @ X2 ) )
= ( X1 @ ( sK1 @ X1 ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f15]) ).
thf(f15,plain,
! [X2: a,X1: a > ( a > a > a ) > a] :
( ( ( ^ [Y0: a] :
( ( ^ [Y1: a > a > a] : ( Y1 @ ( sK1 @ X1 ) @ Y0 ) )
= ( X1 @ ( sK1 @ X1 ) ) )
@ X2 )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( ( X1 @ ( sK2 @ X1 ) )
= ( X1 @ Y0 ) )
=> ( Y0
= ( sK2 @ X1 ) ) ) )
= $false ) ),
inference(pi_clausification,[],[f14]) ).
thf(f14,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ( ?? @ a
@ ^ [Y0: a] :
( ( ^ [Y1: a > a > a] : ( Y1 @ ( sK1 @ X1 ) @ Y0 ) )
= ( X1 @ ( sK1 @ X1 ) ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( ( X1 @ ( sK2 @ X1 ) )
= ( X1 @ Y0 ) )
=> ( Y0
= ( sK2 @ X1 ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f13]) ).
thf(f13,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( X1 @ Y0 )
= ( X1 @ Y1 ) )
=> ( Y1 = Y0 ) ) )
@ ( sK2 @ X1 ) )
= $false )
| ( ( ?? @ a
@ ^ [Y0: a] :
( ( ^ [Y1: a > a > a] : ( Y1 @ ( sK1 @ X1 ) @ Y0 ) )
= ( X1 @ ( sK1 @ X1 ) ) ) )
= $false ) ),
inference(sigma_clausification,[],[f12]) ).
thf(f12,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( X1 @ Y0 )
= ( X1 @ Y1 ) )
=> ( Y1 = Y0 ) ) ) )
= $false )
| ( ( ?? @ a
@ ^ [Y0: a] :
( ( ^ [Y1: a > a > a] : ( Y1 @ ( sK1 @ X1 ) @ Y0 ) )
= ( X1 @ ( sK1 @ X1 ) ) ) )
= $false ) ),
inference(beta_eta_normalization,[],[f11]) ).
thf(f11,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( X1 @ Y0 )
= ( X1 @ Y1 ) )
=> ( Y1 = Y0 ) ) ) )
= $false )
| ( ( ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( ^ [Y2: a > a > a] : ( Y2 @ Y0 @ Y1 ) )
= ( X1 @ Y0 ) ) )
@ ( sK1 @ X1 ) )
= $false ) ),
inference(sigma_clausification,[],[f10]) ).
thf(f10,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( ^ [Y2: a > a > a] : ( Y2 @ Y0 @ Y1 ) )
= ( X1 @ Y0 ) ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( X1 @ Y0 )
= ( X1 @ Y1 ) )
=> ( Y1 = Y0 ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f9]) ).
thf(f9,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( X1 @ Y0 )
= ( X1 @ Y1 ) )
=> ( Y1 = Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ?? @ a
@ ^ [Y1: a] :
( ( ^ [Y2: a > a > a] : ( Y2 @ Y0 @ Y1 ) )
= ( X1 @ Y0 ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f8]) ).
thf(f8,plain,
! [X1: a > ( a > a > a ) > a] :
( ( ^ [Y0: a > ( a > a > a ) > a] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
= ( Y0 @ Y2 ) )
=> ( Y2 = Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ( ^ [Y3: a > a > a] : ( Y3 @ Y1 @ Y2 ) )
= ( Y0 @ Y1 ) ) ) ) )
@ X1 )
= $false ),
inference(pi_clausification,[],[f7]) ).
thf(f7,plain,
( ( ?? @ ( a > ( a > a > a ) > a )
@ ^ [Y0: a > ( a > a > a ) > a] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
= ( Y0 @ Y2 ) )
=> ( Y2 = Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ( ^ [Y3: a > a > a] : ( Y3 @ Y1 @ Y2 ) )
= ( Y0 @ Y1 ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ?? @ ( a > ( a > a > a ) > a )
@ ^ [Y0: a > ( a > a > a ) > a] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
= ( Y0 @ Y2 ) )
=> ( Y2 = Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ( ^ [Y3: a > a > a] : ( Y3 @ Y1 @ Y2 ) )
= ( Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ?? @ ( a > ( a > a > a ) > a )
@ ^ [Y0: a > ( a > a > a ) > a] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
= ( Y0 @ Y2 ) )
=> ( Y2 = Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ?? @ a
@ ^ [Y2: a] :
( ( ^ [Y3: a > a > a] : ( Y3 @ Y1 @ Y2 ) )
= ( Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f4]) ).
thf(f4,plain,
~ ? [X0: a > ( a > a > a ) > a] :
( ! [X1: a] :
? [X2: a] :
( ( ^ [X4: a > a > a] : ( X4 @ X1 @ X2 ) )
= ( X0 @ X1 ) )
& ! [X5: a,X6: a] :
( ( ( X0 @ X6 )
= ( X0 @ X5 ) )
=> ( X5 = X6 ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: a > ( a > a > a ) > a] :
( ! [X3: a] :
? [X4: a,X5: a] :
( ( ^ [X6: a > a > a] : ( X6 @ X3 @ X4 ) )
= ( X0 @ X3 ) )
& ! [X1: a,X2: a] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) ),
inference(negated_conjecture,[],[f1]) ).
thf(f1,conjecture,
? [X0: a > ( a > a > a ) > a] :
( ! [X3: a] :
? [X4: a,X5: a] :
( ( ^ [X6: a > a > a] : ( X6 @ X3 @ X4 ) )
= ( X0 @ X3 ) )
& ! [X1: a,X2: a] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM33_pme) ).
thf(f28,plain,
! [X0: a > ( a > a > a ) > a,X1: a] :
( ( ( sK2
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X0 @ Y0 @ Y1 ) ) )
!= ( sK3
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X0 @ Y0 @ Y1 ) ) ) )
| ( ( ^ [Y0: a > a > a] : X1 )
!= ( X0
@ ( sK1
@ ^ [Y0: a,Y1: a > a > a] : ( Y1 @ Y0 @ ( X0 @ Y0 @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f25]) ).
thf(f25,plain,
! [X0: a > ( a > a > a ) > a,X1: a] :
( ( ( ^ [Y0: a > a > a] : X1 )
!= ( ^ [Y0: a > a > a] :
( X0
@ ( sK1
@ ^ [Y1: a,Y2: a > a > a] :
( Y2
@ ( ^ [Y3: a,Y4: a > a > a] : Y3
@ Y1
@ Y2 )
@ ( X0 @ Y1 @ Y2 ) ) )
@ Y0 ) ) )
| ( ( sK3
@ ^ [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 ) ) ) ) ),
inference(equality_resolution,[],[f24]) ).
thf(f24,plain,
! [X2: a,X1: a > ( a > a > a ) > a] :
( ( ( X1 @ ( sK1 @ X1 ) )
!= ( ^ [Y0: a > a > a] : ( Y0 @ ( sK1 @ X1 ) @ X2 ) ) )
| ( ( sK2 @ X1 )
!= ( sK3 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f23]) ).
thf(f23,plain,
! [X2: a,X1: a > ( a > a > a ) > a] :
( ( ( X1 @ ( sK1 @ X1 ) )
!= ( ^ [Y0: a > a > a] : ( Y0 @ ( sK1 @ X1 ) @ X2 ) ) )
| ( ( ( sK3 @ X1 )
= ( sK2 @ X1 ) )
= $false ) ),
inference(equality_proxy_clausification,[],[f19]) ).
thf(f19,plain,
! [X2: a,X1: a > ( a > a > a ) > a] :
( ( ( ( ^ [Y0: a > a > a] : ( Y0 @ ( sK1 @ X1 ) @ X2 ) )
= ( X1 @ ( sK1 @ X1 ) ) )
= $false )
| ( ( ( sK3 @ X1 )
= ( sK2 @ X1 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV171^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jun 21 19:08:24 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 Running higher-order theorem proving
% 0.13/0.35 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.13/0.37 % (14184)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 % (14179)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 % (14180)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 % (14182)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (14181)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 % (14183)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 % (14185)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.38 % (14184)Refutation not found, incomplete strategy
% 0.13/0.38 % (14184)------------------------------
% 0.13/0.38 % (14184)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (14184)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (14184)Memory used [KB]: 5500
% 0.13/0.38 % (14184)Time elapsed: 0.003 s
% 0.13/0.38 % (14184)Instructions burned: 1 (million)
% 0.13/0.38 % (14184)------------------------------
% 0.13/0.38 % (14184)------------------------------
% 0.13/0.38 % (14182)Refutation not found, incomplete strategy
% 0.13/0.38 % (14182)------------------------------
% 0.13/0.38 % (14182)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (14182)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (14182)Memory used [KB]: 5500
% 0.13/0.38 % (14182)Time elapsed: 0.003 s
% 0.13/0.38 % (14182)Instructions burned: 1 (million)
% 0.13/0.38 % (14182)------------------------------
% 0.13/0.38 % (14182)------------------------------
% 0.13/0.38 % (14181)Refutation not found, incomplete strategy
% 0.13/0.38 % (14181)------------------------------
% 0.13/0.38 % (14181)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (14181)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (14181)Memory used [KB]: 5500
% 0.13/0.38 % (14181)Time elapsed: 0.004 s
% 0.13/0.38 % (14181)Instructions burned: 2 (million)
% 0.13/0.38 % (14181)------------------------------
% 0.13/0.38 % (14181)------------------------------
% 0.13/0.38 % (14183)Instruction limit reached!
% 0.13/0.38 % (14183)------------------------------
% 0.13/0.38 % (14183)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (14183)Termination reason: Unknown
% 0.13/0.38 % (14183)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (14183)Memory used [KB]: 5500
% 0.13/0.38 % (14183)Time elapsed: 0.004 s
% 0.13/0.38 % (14183)Instructions burned: 2 (million)
% 0.13/0.38 % (14183)------------------------------
% 0.13/0.38 % (14183)------------------------------
% 0.13/0.38 % (14180)Instruction limit reached!
% 0.13/0.38 % (14180)------------------------------
% 0.13/0.38 % (14180)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.38 % (14180)Termination reason: Unknown
% 0.13/0.38 % (14180)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (14180)Memory used [KB]: 5500
% 0.13/0.38 % (14180)Time elapsed: 0.006 s
% 0.13/0.38 % (14180)Instructions burned: 5 (million)
% 0.13/0.38 % (14180)------------------------------
% 0.13/0.38 % (14180)------------------------------
% 0.13/0.39 % (14185)Instruction limit reached!
% 0.13/0.39 % (14185)------------------------------
% 0.13/0.39 % (14185)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (14185)Termination reason: Unknown
% 0.13/0.39 % (14185)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (14185)Memory used [KB]: 5628
% 0.13/0.39 % (14185)Time elapsed: 0.013 s
% 0.13/0.39 % (14185)Instructions burned: 18 (million)
% 0.13/0.39 % (14185)------------------------------
% 0.13/0.39 % (14185)------------------------------
% 0.13/0.39 % (14186)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)
% 0.13/0.39 % (14187)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)
% 0.13/0.39 % (14188)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 % (14189)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 % (14188)Refutation not found, incomplete strategy
% 0.13/0.39 % (14188)------------------------------
% 0.13/0.39 % (14188)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (14188)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 % (14188)Memory used [KB]: 5500
% 0.13/0.39 % (14188)Time elapsed: 0.003 s
% 0.13/0.39 % (14188)Instructions burned: 1 (million)
% 0.13/0.39 % (14188)------------------------------
% 0.13/0.39 % (14188)------------------------------
% 0.13/0.39 % (14190)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 % (14186)Instruction limit reached!
% 0.13/0.39 % (14186)------------------------------
% 0.13/0.39 % (14186)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.39 % (14186)Termination reason: Unknown
% 0.13/0.39 % (14186)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (14186)Memory used [KB]: 5500
% 0.13/0.39 % (14186)Time elapsed: 0.005 s
% 0.13/0.39 % (14186)Instructions burned: 4 (million)
% 0.13/0.39 % (14186)------------------------------
% 0.13/0.39 % (14186)------------------------------
% 0.13/0.40 % (14189)Instruction limit reached!
% 0.13/0.40 % (14189)------------------------------
% 0.13/0.40 % (14189)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.13/0.40 % (14189)Termination reason: Unknown
% 0.13/0.40 % (14189)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (14189)Memory used [KB]: 5500
% 0.13/0.40 % (14189)Time elapsed: 0.005 s
% 0.13/0.40 % (14189)Instructions burned: 4 (million)
% 0.13/0.40 % (14189)------------------------------
% 0.13/0.40 % (14189)------------------------------
% 0.13/0.40 % (14191)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.40 % (14190)Refutation not found, incomplete strategy
% 0.22/0.40 % (14190)------------------------------
% 0.22/0.40 % (14190)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.40 % (14190)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.40
% 0.22/0.40
% 0.22/0.40 % (14190)Memory used [KB]: 5500
% 0.22/0.40 % (14190)Time elapsed: 0.011 s
% 0.22/0.40 % (14190)Instructions burned: 13 (million)
% 0.22/0.40 % (14190)------------------------------
% 0.22/0.40 % (14190)------------------------------
% 0.22/0.41 % (14191)Instruction limit reached!
% 0.22/0.41 % (14191)------------------------------
% 0.22/0.41 % (14191)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (14191)Termination reason: Unknown
% 0.22/0.41 % (14191)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (14191)Memory used [KB]: 1023
% 0.22/0.41 % (14191)Time elapsed: 0.007 s
% 0.22/0.41 % (14191)Instructions burned: 7 (million)
% 0.22/0.41 % (14191)------------------------------
% 0.22/0.41 % (14191)------------------------------
% 0.22/0.41 % (14194)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 % (14192)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.41 % (14193)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)
% 0.22/0.41 % (14194)Refutation not found, incomplete strategy
% 0.22/0.41 % (14194)------------------------------
% 0.22/0.41 % (14194)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (14194)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.41
% 0.22/0.41
% 0.22/0.41 % (14194)Memory used [KB]: 5500
% 0.22/0.41 % (14194)Time elapsed: 0.004 s
% 0.22/0.41 % (14194)Instructions burned: 2 (million)
% 0.22/0.41 % (14194)------------------------------
% 0.22/0.41 % (14194)------------------------------
% 0.22/0.41 % (14187)Instruction limit reached!
% 0.22/0.41 % (14187)------------------------------
% 0.22/0.41 % (14187)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (14187)Termination reason: Unknown
% 0.22/0.41 % (14187)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (14187)Memory used [KB]: 5628
% 0.22/0.41 % (14187)Time elapsed: 0.023 s
% 0.22/0.41 % (14187)Instructions burned: 37 (million)
% 0.22/0.41 % (14187)------------------------------
% 0.22/0.41 % (14187)------------------------------
% 0.22/0.41 % (14193)Instruction limit reached!
% 0.22/0.41 % (14193)------------------------------
% 0.22/0.41 % (14193)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (14193)Termination reason: Unknown
% 0.22/0.41 % (14193)Termination phase: Saturation
% 0.22/0.41
% 0.22/0.41 % (14193)Memory used [KB]: 5500
% 0.22/0.41 % (14193)Time elapsed: 0.005 s
% 0.22/0.41 % (14193)Instructions burned: 4 (million)
% 0.22/0.41 % (14193)------------------------------
% 0.22/0.41 % (14193)------------------------------
% 0.22/0.42 % (14195)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)
% 0.22/0.42 % (14192)Instruction limit reached!
% 0.22/0.42 % (14192)------------------------------
% 0.22/0.42 % (14192)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (14192)Termination reason: Unknown
% 0.22/0.42 % (14192)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (14192)Memory used [KB]: 5628
% 0.22/0.42 % (14192)Time elapsed: 0.013 s
% 0.22/0.42 % (14192)Instructions burned: 17 (million)
% 0.22/0.42 % (14192)------------------------------
% 0.22/0.42 % (14192)------------------------------
% 0.22/0.42 % (14196)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)
% 0.22/0.42 % (14195)Refutation not found, incomplete strategy
% 0.22/0.42 % (14195)------------------------------
% 0.22/0.42 % (14195)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (14195)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42
% 0.22/0.42 % (14195)Memory used [KB]: 5500
% 0.22/0.42 % (14195)Time elapsed: 0.005 s
% 0.22/0.42 % (14195)Instructions burned: 4 (million)
% 0.22/0.42 % (14195)------------------------------
% 0.22/0.42 % (14195)------------------------------
% 0.22/0.42 % (14196)Instruction limit reached!
% 0.22/0.42 % (14196)------------------------------
% 0.22/0.42 % (14196)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (14196)Termination reason: Unknown
% 0.22/0.42 % (14196)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (14196)Memory used [KB]: 5500
% 0.22/0.42 % (14196)Time elapsed: 0.004 s
% 0.22/0.42 % (14196)Instructions burned: 3 (million)
% 0.22/0.42 % (14196)------------------------------
% 0.22/0.42 % (14196)------------------------------
% 0.22/0.43 % (14197)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.43 % (14198)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)
% 0.22/0.43 % (14199)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.43 % (14198)Refutation not found, incomplete strategy
% 0.22/0.43 % (14198)------------------------------
% 0.22/0.43 % (14198)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (14198)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43
% 0.22/0.43 % (14198)Memory used [KB]: 5500
% 0.22/0.43 % (14198)Time elapsed: 0.003 s
% 0.22/0.43 % (14198)Instructions burned: 1 (million)
% 0.22/0.43 % (14198)------------------------------
% 0.22/0.43 % (14198)------------------------------
% 0.22/0.43 % (14197)Instruction limit reached!
% 0.22/0.43 % (14197)------------------------------
% 0.22/0.43 % (14197)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (14197)Termination reason: Unknown
% 0.22/0.43 % (14197)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (14197)Memory used [KB]: 5500
% 0.22/0.43 % (14197)Time elapsed: 0.006 s
% 0.22/0.43 % (14197)Instructions burned: 5 (million)
% 0.22/0.43 % (14197)------------------------------
% 0.22/0.43 % (14197)------------------------------
% 0.22/0.44 % (14200)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.44 % (14201)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)
% 0.22/0.44 % (14202)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)
% 0.22/0.44 % (14201)Refutation not found, incomplete strategy
% 0.22/0.44 % (14201)------------------------------
% 0.22/0.44 % (14201)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (14201)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44
% 0.22/0.44 % (14201)Memory used [KB]: 5373
% 0.22/0.44 % (14201)Time elapsed: 0.003 s
% 0.22/0.44 % (14201)Instructions burned: 1 (million)
% 0.22/0.44 % (14201)------------------------------
% 0.22/0.44 % (14201)------------------------------
% 0.22/0.44 % (14200)Instruction limit reached!
% 0.22/0.44 % (14200)------------------------------
% 0.22/0.44 % (14200)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (14200)Termination reason: Unknown
% 0.22/0.44 % (14200)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (14200)Memory used [KB]: 5500
% 0.22/0.44 % (14200)Time elapsed: 0.007 s
% 0.22/0.44 % (14200)Instructions burned: 7 (million)
% 0.22/0.44 % (14200)------------------------------
% 0.22/0.44 % (14200)------------------------------
% 0.22/0.45 % (14203)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.45 % (14204)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)
% 0.22/0.45 % (14203)Instruction limit reached!
% 0.22/0.45 % (14203)------------------------------
% 0.22/0.45 % (14203)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (14203)Termination reason: Unknown
% 0.22/0.45 % (14203)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (14203)Memory used [KB]: 5500
% 0.22/0.45 % (14203)Time elapsed: 0.006 s
% 0.22/0.45 % (14203)Instructions burned: 6 (million)
% 0.22/0.45 % (14203)------------------------------
% 0.22/0.45 % (14203)------------------------------
% 0.22/0.45 % (14204)Instruction limit reached!
% 0.22/0.45 % (14204)------------------------------
% 0.22/0.45 % (14204)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (14204)Termination reason: Unknown
% 0.22/0.45 % (14204)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (14204)Memory used [KB]: 5500
% 0.22/0.45 % (14204)Time elapsed: 0.006 s
% 0.22/0.45 % (14204)Instructions burned: 6 (million)
% 0.22/0.45 % (14204)------------------------------
% 0.22/0.45 % (14204)------------------------------
% 0.22/0.46 % (14202)Instruction limit reached!
% 0.22/0.46 % (14202)------------------------------
% 0.22/0.46 % (14202)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46 % (14202)Termination reason: Unknown
% 0.22/0.46 % (14202)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (14202)Memory used [KB]: 5628
% 0.22/0.46 % (14202)Time elapsed: 0.018 s
% 0.22/0.46 % (14202)Instructions burned: 22 (million)
% 0.22/0.46 % (14202)------------------------------
% 0.22/0.46 % (14202)------------------------------
% 0.22/0.46 % (14205)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.46 % (14206)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)
% 0.22/0.46 % (14205)Refutation not found, incomplete strategy
% 0.22/0.46 % (14205)------------------------------
% 0.22/0.46 % (14205)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46 % (14205)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 % (14205)Memory used [KB]: 5500
% 0.22/0.46 % (14205)Time elapsed: 0.003 s
% 0.22/0.46 % (14205)Instructions burned: 1 (million)
% 0.22/0.46 % (14205)------------------------------
% 0.22/0.46 % (14205)------------------------------
% 0.22/0.46 % (14207)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)
% 0.22/0.47 % (14179)Instruction limit reached!
% 0.22/0.47 % (14179)------------------------------
% 0.22/0.47 % (14179)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (14179)Termination reason: Unknown
% 0.22/0.47 % (14179)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (14179)Memory used [KB]: 6140
% 0.22/0.47 % (14179)Time elapsed: 0.095 s
% 0.22/0.47 % (14179)Instructions burned: 183 (million)
% 0.22/0.47 % (14179)------------------------------
% 0.22/0.47 % (14179)------------------------------
% 0.22/0.47 % (14208)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)
% 0.22/0.47 % (14208)Refutation not found, incomplete strategy
% 0.22/0.47 % (14208)------------------------------
% 0.22/0.47 % (14208)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (14208)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47 % (14208)Memory used [KB]: 5500
% 0.22/0.47 % (14208)Time elapsed: 0.003 s
% 0.22/0.47 % (14208)Instructions burned: 1 (million)
% 0.22/0.47 % (14208)------------------------------
% 0.22/0.47 % (14208)------------------------------
% 0.22/0.47 % (14207)Instruction limit reached!
% 0.22/0.47 % (14207)------------------------------
% 0.22/0.47 % (14207)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (14207)Termination reason: Unknown
% 0.22/0.47 % (14207)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (14207)Memory used [KB]: 5628
% 0.22/0.47 % (14207)Time elapsed: 0.008 s
% 0.22/0.47 % (14207)Instructions burned: 20 (million)
% 0.22/0.47 % (14207)------------------------------
% 0.22/0.47 % (14207)------------------------------
% 0.22/0.47 % (14209)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.22/0.47 % (14210)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.47 % (14210)Refutation not found, incomplete strategy
% 0.22/0.47 % (14210)------------------------------
% 0.22/0.47 % (14210)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (14210)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47 % (14210)Memory used [KB]: 5500
% 0.22/0.47 % (14210)Time elapsed: 0.003 s
% 0.22/0.47 % (14210)Instructions burned: 2 (million)
% 0.22/0.47 % (14210)------------------------------
% 0.22/0.47 % (14210)------------------------------
% 0.22/0.48 % (14209)Instruction limit reached!
% 0.22/0.48 % (14209)------------------------------
% 0.22/0.48 % (14209)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (14209)Termination reason: Unknown
% 0.22/0.48 % (14209)Termination phase: Saturation
% 0.22/0.48 % (14212)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)
% 0.22/0.48
% 0.22/0.48 % (14209)Memory used [KB]: 5500
% 0.22/0.48 % (14209)Time elapsed: 0.009 s
% 0.22/0.48 % (14209)Instructions burned: 17 (million)
% 0.22/0.48 % (14209)------------------------------
% 0.22/0.48 % (14209)------------------------------
% 0.22/0.48 % (14211)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.22/0.48 % (14214)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)
% 0.22/0.49 % (14213)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)
% 0.22/0.49 % (14214)Instruction limit reached!
% 0.22/0.49 % (14214)------------------------------
% 0.22/0.49 % (14214)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (14214)Termination reason: Unknown
% 0.22/0.49 % (14214)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (14214)Memory used [KB]: 5500
% 0.22/0.49 % (14214)Time elapsed: 0.003 s
% 0.22/0.49 % (14214)Instructions burned: 3 (million)
% 0.22/0.49 % (14214)------------------------------
% 0.22/0.49 % (14214)------------------------------
% 0.22/0.49 % (14213)Refutation not found, incomplete strategy
% 0.22/0.49 % (14213)------------------------------
% 0.22/0.49 % (14213)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (14213)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49
% 0.22/0.49
% 0.22/0.49 % (14213)Memory used [KB]: 5500
% 0.22/0.49 % (14213)Time elapsed: 0.003 s
% 0.22/0.49 % (14213)Instructions burned: 1 (million)
% 0.22/0.49 % (14213)------------------------------
% 0.22/0.49 % (14213)------------------------------
% 0.22/0.49 % (14206)First to succeed.
% 0.22/0.49 % (14215)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)
% 0.22/0.49 % (14215)Refutation not found, incomplete strategy
% 0.22/0.49 % (14215)------------------------------
% 0.22/0.49 % (14215)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (14215)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49
% 0.22/0.49
% 0.22/0.49 % (14215)Memory used [KB]: 5500
% 0.22/0.49 % (14215)Time elapsed: 0.002 s
% 0.22/0.49 % (14215)Instructions burned: 1 (million)
% 0.22/0.49 % (14215)------------------------------
% 0.22/0.49 % (14215)------------------------------
% 0.22/0.49 % (14206)Refutation found. Thanks to Tanya!
% 0.22/0.49 % SZS status Theorem for theBenchmark
% 0.22/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.49 % (14206)------------------------------
% 0.22/0.49 % (14206)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (14206)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (14206)Memory used [KB]: 6140
% 0.22/0.49 % (14206)Time elapsed: 0.033 s
% 0.22/0.49 % (14206)Instructions burned: 73 (million)
% 0.22/0.49 % (14206)------------------------------
% 0.22/0.49 % (14206)------------------------------
% 0.22/0.49 % (14178)Success in time 0.113 s
%------------------------------------------------------------------------------