TSTP Solution File: NUM827^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM827^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:15:52 EDT 2024
% Result : Theorem 2.20s 0.62s
% Output : Refutation 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 12
% Syntax : Number of formulae : 63 ( 52 unt; 8 typ; 0 def)
% Number of atoms : 312 ( 166 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 733 ( 8 ~; 0 |; 37 &; 564 @)
% ( 0 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 51 ( 51 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 9 usr; 9 con; 0-2 aty)
% ( 76 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 122 ( 88 ^ 33 !; 0 ?; 122 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
n: $tType ).
thf(func_def_0,type,
n: $tType ).
thf(func_def_1,type,
c0: n ).
thf(func_def_2,type,
cS: n > n ).
thf(func_def_3,type,
c_plus: n > n > n ).
thf(func_def_20,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_21,type,
sK2: n ).
thf(func_def_22,type,
sK3: n ).
thf(f124,plain,
$false,
inference(trivial_inequality_removal,[],[f123]) ).
thf(f123,plain,
$false = $true,
inference(boolean_simplification,[],[f121]) ).
thf(f121,plain,
( $false
= ( ( cS @ sK3 )
= ( cS @ sK3 ) ) ),
inference(backward_demodulation,[],[f106,f112]) ).
thf(f112,plain,
( sK3
= ( c_plus @ c0 @ sK3 ) ),
inference(equality_proxy_clausification,[],[f107]) ).
thf(f107,plain,
( $true
= ( sK3
= ( c_plus @ c0 @ sK3 ) ) ),
inference(binary_proxy_clausification,[],[f105]) ).
thf(f105,plain,
( $false
= ( ( sK3
= ( c_plus @ c0 @ sK3 ) )
=> ( ( cS @ sK3 )
= ( cS @ ( c_plus @ c0 @ sK3 ) ) ) ) ),
inference(forward_demodulation,[],[f104,f51]) ).
thf(f51,plain,
! [X2: n,X1: n] :
( ( cS @ ( c_plus @ X1 @ X2 ) )
= ( c_plus @ X1 @ ( cS @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f50]) ).
thf(f50,plain,
! [X2: n,X1: n] :
( ( ( c_plus @ X1 @ ( cS @ X2 ) )
= ( cS @ ( c_plus @ X1 @ X2 ) ) )
= $true ),
inference(beta_eta_normalization,[],[f49]) ).
thf(f49,plain,
! [X2: n,X1: n] :
( $true
= ( ^ [Y0: n] :
( ( c_plus @ X1 @ ( cS @ Y0 ) )
= ( cS @ ( c_plus @ X1 @ Y0 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f48]) ).
thf(f48,plain,
! [X1: n] :
( ( !! @ n
@ ^ [Y0: n] :
( ( c_plus @ X1 @ ( cS @ Y0 ) )
= ( cS @ ( c_plus @ X1 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f47]) ).
thf(f47,plain,
! [X1: n] :
( ( ^ [Y0: n] :
( !! @ n
@ ^ [Y1: n] :
( ( c_plus @ Y0 @ ( cS @ Y1 ) )
= ( cS @ ( c_plus @ Y0 @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f44]) ).
thf(f44,plain,
( ( !! @ n
@ ^ [Y0: n] :
( !! @ n
@ ^ [Y1: n] :
( ( c_plus @ Y0 @ ( cS @ Y1 ) )
= ( cS @ ( c_plus @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f32]) ).
thf(f32,plain,
( ( ( !! @ n
@ ^ [Y0: n] :
( !! @ n
@ ^ [Y1: n] :
( ( c_plus @ Y0 @ ( cS @ Y1 ) )
= ( cS @ ( c_plus @ Y0 @ Y1 ) ) ) ) )
& ( !! @ ( n > n )
@ ^ [Y0: n > n] :
( !! @ ( n > n )
@ ^ [Y1: n > n] :
( ( ( !! @ n
@ ^ [Y2: n] :
( ( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) )
=> ( ( Y0 @ ( cS @ Y2 ) )
= ( Y1 @ ( cS @ Y2 ) ) ) ) )
& ( ( Y0 @ c0 )
= ( Y1 @ c0 ) ) )
=> ( !! @ n
@ ^ [Y2: n] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) ) ) ) ) ) )
= $true ),
inference(binary_proxy_clausification,[],[f23]) ).
thf(f23,plain,
( $true
= ( ( !! @ n
@ ^ [Y0: n] :
( !! @ n
@ ^ [Y1: n] :
( ( c_plus @ Y0 @ ( cS @ Y1 ) )
= ( cS @ ( c_plus @ Y0 @ Y1 ) ) ) ) )
& ( !! @ ( n > n )
@ ^ [Y0: n > n] :
( !! @ ( n > n )
@ ^ [Y1: n > n] :
( ( ( !! @ n
@ ^ [Y2: n] :
( ( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) )
=> ( ( Y0 @ ( cS @ Y2 ) )
= ( Y1 @ ( cS @ Y2 ) ) ) ) )
& ( ( Y0 @ c0 )
= ( Y1 @ c0 ) ) )
=> ( !! @ n
@ ^ [Y2: n] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) ) ) ) ) )
& ( !! @ n
@ ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= Y0 ) ) ) ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f19,plain,
( $false
= ( ( ( !! @ n
@ ^ [Y0: n] :
( !! @ n
@ ^ [Y1: n] :
( ( c_plus @ Y0 @ ( cS @ Y1 ) )
= ( cS @ ( c_plus @ Y0 @ Y1 ) ) ) ) )
& ( !! @ ( n > n )
@ ^ [Y0: n > n] :
( !! @ ( n > n )
@ ^ [Y1: n > n] :
( ( ( !! @ n
@ ^ [Y2: n] :
( ( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) )
=> ( ( Y0 @ ( cS @ Y2 ) )
= ( Y1 @ ( cS @ Y2 ) ) ) ) )
& ( ( Y0 @ c0 )
= ( Y1 @ c0 ) ) )
=> ( !! @ n
@ ^ [Y2: n] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) ) ) ) ) )
& ( !! @ n
@ ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= Y0 ) ) )
=> ( !! @ n
@ ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= ( c_plus @ c0 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f18]) ).
thf(f18,plain,
( $true
= ( ~ ( ( ( !! @ n
@ ^ [Y0: n] :
( !! @ n
@ ^ [Y1: n] :
( ( c_plus @ Y0 @ ( cS @ Y1 ) )
= ( cS @ ( c_plus @ Y0 @ Y1 ) ) ) ) )
& ( !! @ ( n > n )
@ ^ [Y0: n > n] :
( !! @ ( n > n )
@ ^ [Y1: n > n] :
( ( ( !! @ n
@ ^ [Y2: n] :
( ( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) )
=> ( ( Y0 @ ( cS @ Y2 ) )
= ( Y1 @ ( cS @ Y2 ) ) ) ) )
& ( ( Y0 @ c0 )
= ( Y1 @ c0 ) ) )
=> ( !! @ n
@ ^ [Y2: n] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) ) ) ) ) )
& ( !! @ n
@ ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= Y0 ) ) )
=> ( !! @ n
@ ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= ( c_plus @ c0 @ Y0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f15,f14,f17,f16]) ).
thf(f16,plain,
( cPA_1
= ( !! @ n
@ ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= Y0 ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f9,plain,
( cPA_1
= ( !! @ n
@ ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= Y0 ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f1,axiom,
! [X0: n] :
( ( ( c_plus @ X0 @ c0 )
= X0 )
= cPA_1 ),
file('/export/starexec/sandbox/tmp/tmp.fMxRsc1UUZ/Vampire---4.8_24116',cPA_1_def) ).
thf(f17,plain,
( cPA_IND_EQ
= ( !! @ ( n > n )
@ ^ [Y0: n > n] :
( !! @ ( n > n )
@ ^ [Y1: n > n] :
( ( ( !! @ n
@ ^ [Y2: n] :
( ( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) )
=> ( ( Y0 @ ( cS @ Y2 ) )
= ( Y1 @ ( cS @ Y2 ) ) ) ) )
& ( ( Y0 @ c0 )
= ( Y1 @ c0 ) ) )
=> ( !! @ n
@ ^ [Y2: n] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f13,plain,
( cPA_IND_EQ
= ( !! @ ( n > n )
@ ^ [Y0: n > n] :
( !! @ ( n > n )
@ ^ [Y1: n > n] :
( ( ( !! @ n
@ ^ [Y2: n] :
( ( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) )
=> ( ( Y0 @ ( cS @ Y2 ) )
= ( Y1 @ ( cS @ Y2 ) ) ) ) )
& ( ( Y0 @ c0 )
= ( Y1 @ c0 ) ) )
=> ( !! @ n
@ ^ [Y2: n] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f12,plain,
! [X0: n > n,X1: n > n] :
( ( ( ( ( X1 @ c0 )
= ( X0 @ c0 ) )
& ! [X2: n] :
( ( ( X1 @ X2 )
= ( X0 @ X2 ) )
=> ( ( X1 @ ( cS @ X2 ) )
= ( X0 @ ( cS @ X2 ) ) ) ) )
=> ! [X3: n] :
( ( X1 @ X3 )
= ( X0 @ X3 ) ) )
= cPA_IND_EQ ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X2: n > n,X3: n > n] :
( ( ( ( ( X2 @ c0 )
= ( X3 @ c0 ) )
& ! [X0: n] :
( ( ( X2 @ X0 )
= ( X3 @ X0 ) )
=> ( ( X2 @ ( cS @ X0 ) )
= ( X3 @ ( cS @ X0 ) ) ) ) )
=> ! [X0: n] :
( ( X2 @ X0 )
= ( X3 @ X0 ) ) )
= cPA_IND_EQ ),
file('/export/starexec/sandbox/tmp/tmp.fMxRsc1UUZ/Vampire---4.8_24116',cPA_IND_EQ_def) ).
thf(f14,plain,
( cPA_2
= ( !! @ n
@ ^ [Y0: n] :
( !! @ n
@ ^ [Y1: n] :
( ( c_plus @ Y0 @ ( cS @ Y1 ) )
= ( cS @ ( c_plus @ Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f11,plain,
( cPA_2
= ( !! @ n
@ ^ [Y0: n] :
( !! @ n
@ ^ [Y1: n] :
( ( c_plus @ Y0 @ ( cS @ Y1 ) )
= ( cS @ ( c_plus @ Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f10,plain,
( cPA_2
= ( ! [X0: n,X1: n] :
( ( c_plus @ X1 @ ( cS @ X0 ) )
= ( cS @ ( c_plus @ X1 @ X0 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
( cPA_2
= ( ! [X1: n,X0: n] :
( ( c_plus @ X0 @ ( cS @ X1 ) )
= ( cS @ ( c_plus @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.fMxRsc1UUZ/Vampire---4.8_24116',cPA_2_def) ).
thf(f15,plain,
( $true
= ( ~ ( ( cPA_2
& cPA_IND_EQ
& cPA_1 )
=> ( !! @ n
@ ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= ( c_plus @ c0 @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( $true
= ( ~ ( ( cPA_2
& cPA_IND_EQ
& cPA_1 )
=> ( !! @ n
@ ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= ( c_plus @ c0 @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
~ ( ( cPA_1
& cPA_IND_EQ
& cPA_2 )
=> ! [X0: n] :
( ( c_plus @ X0 @ c0 )
= ( c_plus @ c0 @ X0 ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,negated_conjecture,
~ ( ( cPA_1
& cPA_IND_EQ
& cPA_2 )
=> ! [X0: n] :
( ( c_plus @ X0 @ c0 )
= ( c_plus @ c0 @ X0 ) ) ),
inference(negated_conjecture,[],[f4]) ).
thf(f4,conjecture,
( ( cPA_1
& cPA_IND_EQ
& cPA_2 )
=> ! [X0: n] :
( ( c_plus @ X0 @ c0 )
= ( c_plus @ c0 @ X0 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.fMxRsc1UUZ/Vampire---4.8_24116',cPA_THM2) ).
thf(f104,plain,
( ( ( sK3
= ( c_plus @ c0 @ sK3 ) )
=> ( ( cS @ sK3 )
= ( c_plus @ c0 @ ( cS @ sK3 ) ) ) )
= $false ),
inference(forward_demodulation,[],[f103,f37]) ).
thf(f37,plain,
! [X1: n] :
( ( c_plus @ X1 @ c0 )
= X1 ),
inference(equality_proxy_clausification,[],[f36]) ).
thf(f36,plain,
! [X1: n] :
( ( ( c_plus @ X1 @ c0 )
= X1 )
= $true ),
inference(beta_eta_normalization,[],[f35]) ).
thf(f35,plain,
! [X1: n] :
( ( ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= Y0 )
@ X1 )
= $true ),
inference(pi_clausification,[],[f34]) ).
thf(f34,plain,
( $true
= ( !! @ n
@ ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= Y0 ) ) ),
inference(boolean_simplification,[],[f33]) ).
thf(f33,plain,
( ( $true
& ( !! @ n
@ ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= Y0 ) ) )
= $true ),
inference(backward_demodulation,[],[f23,f32]) ).
thf(f103,plain,
( ( ( sK3
= ( c_plus @ c0 @ sK3 ) )
=> ( ( c_plus @ ( cS @ sK3 ) @ c0 )
= ( c_plus @ c0 @ ( cS @ sK3 ) ) ) )
= $false ),
inference(forward_demodulation,[],[f99,f37]) ).
thf(f99,plain,
( ( ( ( c_plus @ sK3 @ c0 )
= ( c_plus @ c0 @ sK3 ) )
=> ( ( c_plus @ ( cS @ sK3 ) @ c0 )
= ( c_plus @ c0 @ ( cS @ sK3 ) ) ) )
= $false ),
inference(beta_eta_normalization,[],[f97]) ).
thf(f97,plain,
( ( ^ [Y0: n] :
( ( ( c_plus @ Y0 @ c0 )
= ( c_plus @ c0 @ Y0 ) )
=> ( ( c_plus @ ( cS @ Y0 ) @ c0 )
= ( c_plus @ c0 @ ( cS @ Y0 ) ) ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[],[f94]) ).
thf(f94,plain,
( $false
= ( !! @ n
@ ^ [Y0: n] :
( ( ( c_plus @ Y0 @ c0 )
= ( c_plus @ c0 @ Y0 ) )
=> ( ( c_plus @ ( cS @ Y0 ) @ c0 )
= ( c_plus @ c0 @ ( cS @ Y0 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f85]) ).
thf(f85,plain,
( $true
= ( ~ ( !! @ n
@ ^ [Y0: n] :
( ( ( c_plus @ Y0 @ c0 )
= ( c_plus @ c0 @ Y0 ) )
=> ( ( c_plus @ ( cS @ Y0 ) @ c0 )
= ( c_plus @ c0 @ ( cS @ Y0 ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f84]) ).
thf(f84,plain,
( $true
= ( ~ ( ( !! @ n
@ ^ [Y0: n] :
( ( ( c_plus @ Y0 @ c0 )
= ( c_plus @ c0 @ Y0 ) )
=> ( ( c_plus @ ( cS @ Y0 ) @ c0 )
= ( c_plus @ c0 @ ( cS @ Y0 ) ) ) ) )
& $true ) ) ),
inference(boolean_simplification,[],[f83]) ).
thf(f83,plain,
( $true
= ( ~ ( ( !! @ n
@ ^ [Y0: n] :
( ( ( c_plus @ Y0 @ c0 )
= ( c_plus @ c0 @ Y0 ) )
=> ( ( c_plus @ ( cS @ Y0 ) @ c0 )
= ( c_plus @ c0 @ ( cS @ Y0 ) ) ) ) )
& ( ( c_plus @ c0 @ c0 )
= ( c_plus @ c0 @ c0 ) ) ) ) ),
inference(boolean_simplification,[],[f82]) ).
thf(f82,plain,
( ( ( ( !! @ n
@ ^ [Y0: n] :
( ( ( c_plus @ Y0 @ c0 )
= ( c_plus @ c0 @ Y0 ) )
=> ( ( c_plus @ ( cS @ Y0 ) @ c0 )
= ( c_plus @ c0 @ ( cS @ Y0 ) ) ) ) )
& ( ( c_plus @ c0 @ c0 )
= ( c_plus @ c0 @ c0 ) ) )
=> $false )
= $true ),
inference(beta_eta_normalization,[],[f65]) ).
thf(f65,plain,
( ( ( ( !! @ n
@ ^ [Y0: n] :
( ( ( ^ [Y1: n] : ( c_plus @ Y1 @ c0 )
@ Y0 )
= ( ^ [Y1: n] : ( c_plus @ c0 @ Y1 )
@ Y0 ) )
=> ( ( ^ [Y1: n] : ( c_plus @ Y1 @ c0 )
@ ( cS @ Y0 ) )
= ( ^ [Y1: n] : ( c_plus @ c0 @ Y1 )
@ ( cS @ Y0 ) ) ) ) )
& ( ( ^ [Y0: n] : ( c_plus @ Y0 @ c0 )
@ c0 )
= ( ^ [Y0: n] : ( c_plus @ c0 @ Y0 )
@ c0 ) ) )
=> $false )
= $true ),
inference(superposition,[],[f61,f22]) ).
thf(f22,plain,
( $false
= ( !! @ n
@ ^ [Y0: n] :
( ( c_plus @ Y0 @ c0 )
= ( c_plus @ c0 @ Y0 ) ) ) ),
inference(binary_proxy_clausification,[],[f19]) ).
thf(f61,plain,
! [X2: n > n,X1: n > n] :
( ( ( ( !! @ n
@ ^ [Y0: n] :
( ( ( X1 @ Y0 )
= ( X2 @ Y0 ) )
=> ( ( X1 @ ( cS @ Y0 ) )
= ( X2 @ ( cS @ Y0 ) ) ) ) )
& ( ( X1 @ c0 )
= ( X2 @ c0 ) ) )
=> ( !! @ n
@ ^ [Y0: n] :
( ( X1 @ Y0 )
= ( X2 @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f60]) ).
thf(f60,plain,
! [X2: n > n,X1: n > n] :
( ( ^ [Y0: n > n] :
( ( ( !! @ n
@ ^ [Y1: n] :
( ( ( X1 @ Y1 )
= ( Y0 @ Y1 ) )
=> ( ( X1 @ ( cS @ Y1 ) )
= ( Y0 @ ( cS @ Y1 ) ) ) ) )
& ( ( X1 @ c0 )
= ( Y0 @ c0 ) ) )
=> ( !! @ n
@ ^ [Y1: n] :
( ( X1 @ Y1 )
= ( Y0 @ Y1 ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f59]) ).
thf(f59,plain,
! [X1: n > n] :
( $true
= ( !! @ ( n > n )
@ ^ [Y0: n > n] :
( ( ( !! @ n
@ ^ [Y1: n] :
( ( ( X1 @ Y1 )
= ( Y0 @ Y1 ) )
=> ( ( X1 @ ( cS @ Y1 ) )
= ( Y0 @ ( cS @ Y1 ) ) ) ) )
& ( ( X1 @ c0 )
= ( Y0 @ c0 ) ) )
=> ( !! @ n
@ ^ [Y1: n] :
( ( X1 @ Y1 )
= ( Y0 @ Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f58]) ).
thf(f58,plain,
! [X1: n > n] :
( $true
= ( ^ [Y0: n > n] :
( !! @ ( n > n )
@ ^ [Y1: n > n] :
( ( ( !! @ n
@ ^ [Y2: n] :
( ( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) )
=> ( ( Y0 @ ( cS @ Y2 ) )
= ( Y1 @ ( cS @ Y2 ) ) ) ) )
& ( ( Y0 @ c0 )
= ( Y1 @ c0 ) ) )
=> ( !! @ n
@ ^ [Y2: n] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f46]) ).
thf(f46,plain,
( $true
= ( !! @ ( n > n )
@ ^ [Y0: n > n] :
( !! @ ( n > n )
@ ^ [Y1: n > n] :
( ( ( !! @ n
@ ^ [Y2: n] :
( ( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) )
=> ( ( Y0 @ ( cS @ Y2 ) )
= ( Y1 @ ( cS @ Y2 ) ) ) ) )
& ( ( Y0 @ c0 )
= ( Y1 @ c0 ) ) )
=> ( !! @ n
@ ^ [Y2: n] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f45]) ).
thf(f45,plain,
( $true
= ( $true
& ( !! @ ( n > n )
@ ^ [Y0: n > n] :
( !! @ ( n > n )
@ ^ [Y1: n > n] :
( ( ( !! @ n
@ ^ [Y2: n] :
( ( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) )
=> ( ( Y0 @ ( cS @ Y2 ) )
= ( Y1 @ ( cS @ Y2 ) ) ) ) )
& ( ( Y0 @ c0 )
= ( Y1 @ c0 ) ) )
=> ( !! @ n
@ ^ [Y2: n] :
( ( Y0 @ Y2 )
= ( Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(backward_demodulation,[],[f32,f44]) ).
thf(f106,plain,
( $false
= ( ( cS @ sK3 )
= ( cS @ ( c_plus @ c0 @ sK3 ) ) ) ),
inference(binary_proxy_clausification,[],[f105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM827^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 15:11:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.fMxRsc1UUZ/Vampire---4.8_24116
% 0.14/0.37 % (24227)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.37 % (24226)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.14/0.37 % (24224)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.14/0.37 % (24228)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.14/0.37 % (24229)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.14/0.37 % (24230)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.14/0.37 % (24228)Instruction limit reached!
% 0.14/0.37 % (24228)------------------------------
% 0.14/0.37 % (24228)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (24228)Termination reason: Unknown
% 0.14/0.37 % (24228)Termination phase: Property scanning
% 0.14/0.37
% 0.14/0.37 % (24228)Memory used [KB]: 895
% 0.14/0.37 % (24228)Time elapsed: 0.003 s
% 0.14/0.37 % (24228)Instructions burned: 2 (million)
% 0.14/0.37 % (24228)------------------------------
% 0.14/0.37 % (24228)------------------------------
% 0.14/0.37 % (24231)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.38 % (24231)Instruction limit reached!
% 0.14/0.38 % (24231)------------------------------
% 0.14/0.38 % (24231)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (24231)Termination reason: Unknown
% 0.14/0.38 % (24231)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (24231)Memory used [KB]: 5500
% 0.14/0.38 % (24231)Time elapsed: 0.004 s
% 0.14/0.38 % (24231)Instructions burned: 3 (million)
% 0.14/0.38 % (24231)------------------------------
% 0.14/0.38 % (24231)------------------------------
% 0.14/0.38 % (24230)Instruction limit reached!
% 0.14/0.38 % (24230)------------------------------
% 0.14/0.38 % (24230)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (24230)Termination reason: Unknown
% 0.14/0.38 % (24230)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (24230)Memory used [KB]: 5628
% 0.14/0.38 % (24230)Time elapsed: 0.013 s
% 0.14/0.38 % (24230)Instructions burned: 18 (million)
% 0.14/0.38 % (24230)------------------------------
% 0.14/0.38 % (24230)------------------------------
% 0.14/0.38 % (24225)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.14/0.39 % (24232)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.14/0.39 % (24227)Instruction limit reached!
% 0.14/0.39 % (24227)------------------------------
% 0.14/0.39 % (24227)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (24227)Termination reason: Unknown
% 0.14/0.39 % (24227)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (24227)Memory used [KB]: 895
% 0.14/0.39 % (24227)Time elapsed: 0.005 s
% 0.14/0.39 % (24227)Instructions burned: 3 (million)
% 0.14/0.39 % (24227)------------------------------
% 0.14/0.39 % (24227)------------------------------
% 0.14/0.39 % (24225)Instruction limit reached!
% 0.14/0.39 % (24225)------------------------------
% 0.14/0.39 % (24225)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (24225)Termination reason: Unknown
% 0.14/0.39 % (24225)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (24225)Memory used [KB]: 5500
% 0.14/0.39 % (24225)Time elapsed: 0.006 s
% 0.14/0.39 % (24225)Instructions burned: 4 (million)
% 0.14/0.39 % (24225)------------------------------
% 0.14/0.39 % (24225)------------------------------
% 0.14/0.39 % (24226)Instruction limit reached!
% 0.14/0.39 % (24226)------------------------------
% 0.14/0.39 % (24226)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (24226)Termination reason: Unknown
% 0.14/0.39 % (24226)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (24226)Memory used [KB]: 5628
% 0.14/0.39 % (24226)Time elapsed: 0.019 s
% 0.14/0.39 % (24226)Instructions burned: 28 (million)
% 0.14/0.39 % (24226)------------------------------
% 0.14/0.39 % (24226)------------------------------
% 0.14/0.39 % (24233)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.14/0.40 % (24234)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.40 % (24234)Instruction limit reached!
% 0.14/0.40 % (24234)------------------------------
% 0.14/0.40 % (24234)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (24234)Termination reason: Unknown
% 0.14/0.40 % (24234)Termination phase: Property scanning
% 0.14/0.40
% 0.14/0.40 % (24234)Memory used [KB]: 895
% 0.14/0.40 % (24234)Time elapsed: 0.003 s
% 0.14/0.40 % (24234)Instructions burned: 3 (million)
% 0.14/0.40 % (24234)------------------------------
% 0.14/0.40 % (24234)------------------------------
% 0.14/0.40 % (24233)Instruction limit reached!
% 0.14/0.40 % (24233)------------------------------
% 0.14/0.40 % (24233)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (24233)Termination reason: Unknown
% 0.14/0.40 % (24233)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (24233)Memory used [KB]: 5500
% 0.14/0.40 % (24233)Time elapsed: 0.011 s
% 0.14/0.40 % (24233)Instructions burned: 15 (million)
% 0.14/0.40 % (24233)------------------------------
% 0.14/0.40 % (24233)------------------------------
% 0.14/0.40 % (24235)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.14/0.40 % (24232)Instruction limit reached!
% 0.14/0.40 % (24232)------------------------------
% 0.14/0.40 % (24232)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (24232)Termination reason: Unknown
% 0.14/0.40 % (24232)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (24232)Memory used [KB]: 5628
% 0.14/0.40 % (24232)Time elapsed: 0.018 s
% 0.14/0.40 % (24232)Instructions burned: 37 (million)
% 0.14/0.40 % (24232)------------------------------
% 0.14/0.40 % (24232)------------------------------
% 0.14/0.40 % (24236)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.14/0.40 % (24237)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.14/0.41 % (24236)Instruction limit reached!
% 0.14/0.41 % (24236)------------------------------
% 0.14/0.41 % (24236)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (24236)Termination reason: Unknown
% 0.14/0.41 % (24236)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (24236)Memory used [KB]: 1023
% 0.14/0.41 % (24236)Time elapsed: 0.006 s
% 0.14/0.41 % (24236)Instructions burned: 7 (million)
% 0.14/0.41 % (24236)------------------------------
% 0.14/0.41 % (24236)------------------------------
% 0.14/0.41 % (24238)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.41 % (24240)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.14/0.41 % (24239)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.41 % (24238)Instruction limit reached!
% 0.14/0.41 % (24238)------------------------------
% 0.14/0.41 % (24238)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (24238)Termination reason: Unknown
% 0.14/0.41 % (24238)Termination phase: Twee Goal Transformation
% 0.14/0.41
% 0.14/0.41 % (24237)Instruction limit reached!
% 0.14/0.41 % (24237)------------------------------
% 0.14/0.41 % (24237)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (24238)Memory used [KB]: 895
% 0.14/0.41 % (24238)Time elapsed: 0.003 s
% 0.14/0.41 % (24238)Instructions burned: 3 (million)
% 0.14/0.41 % (24238)------------------------------
% 0.14/0.41 % (24238)------------------------------
% 0.14/0.41 % (24237)Termination reason: Unknown
% 0.14/0.41 % (24237)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (24237)Memory used [KB]: 5756
% 0.14/0.41 % (24237)Time elapsed: 0.013 s
% 0.14/0.41 % (24237)Instructions burned: 16 (million)
% 0.14/0.41 % (24237)------------------------------
% 0.14/0.41 % (24237)------------------------------
% 0.14/0.41 % (24240)Refutation not found, incomplete strategy
% 0.14/0.41 % (24240)------------------------------
% 0.14/0.41 % (24240)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (24240)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.41
% 0.14/0.41
% 0.14/0.41 % (24240)Memory used [KB]: 5500
% 0.14/0.41 % (24240)Time elapsed: 0.023 s
% 0.14/0.41 % (24240)Instructions burned: 2 (million)
% 0.14/0.41 % (24240)------------------------------
% 0.14/0.41 % (24240)------------------------------
% 0.14/0.42 % (24239)Instruction limit reached!
% 0.14/0.42 % (24239)------------------------------
% 0.14/0.42 % (24239)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (24239)Termination reason: Unknown
% 0.14/0.42 % (24239)Termination phase: Saturation
% 0.14/0.42
% 0.14/0.42 % (24239)Memory used [KB]: 1023
% 0.14/0.42 % (24239)Time elapsed: 0.004 s
% 0.14/0.42 % (24239)Instructions burned: 4 (million)
% 0.14/0.42 % (24239)------------------------------
% 0.14/0.42 % (24239)------------------------------
% 0.14/0.42 % (24241)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.42 % (24241)Instruction limit reached!
% 0.21/0.42 % (24241)------------------------------
% 0.21/0.42 % (24241)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (24241)Termination reason: Unknown
% 0.21/0.42 % (24241)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (24241)Memory used [KB]: 5500
% 0.21/0.42 % (24241)Time elapsed: 0.004 s
% 0.21/0.42 % (24241)Instructions burned: 4 (million)
% 0.21/0.42 % (24241)------------------------------
% 0.21/0.42 % (24241)------------------------------
% 0.21/0.43 % (24244)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.21/0.43 % (24242)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.21/0.43 % (24243)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.43 % (24242)Instruction limit reached!
% 0.21/0.43 % (24242)------------------------------
% 0.21/0.43 % (24242)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (24242)Termination reason: Unknown
% 0.21/0.43 % (24242)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (24242)Memory used [KB]: 5500
% 0.21/0.43 % (24242)Time elapsed: 0.004 s
% 0.21/0.43 % (24242)Instructions burned: 4 (million)
% 0.21/0.43 % (24242)------------------------------
% 0.21/0.43 % (24242)------------------------------
% 0.21/0.43 % (24245)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.21/0.44 % (24245)Instruction limit reached!
% 0.21/0.44 % (24245)------------------------------
% 0.21/0.44 % (24245)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (24245)Termination reason: Unknown
% 0.21/0.44 % (24245)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (24245)Memory used [KB]: 5500
% 0.21/0.44 % (24245)Time elapsed: 0.006 s
% 0.21/0.44 % (24245)Instructions burned: 6 (million)
% 0.21/0.44 % (24245)------------------------------
% 0.21/0.44 % (24245)------------------------------
% 0.21/0.44 % (24246)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on Vampire---4 for (2999ds/902Mi)
% 0.21/0.44 % (24243)Instruction limit reached!
% 0.21/0.44 % (24243)------------------------------
% 0.21/0.44 % (24243)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (24243)Termination reason: Unknown
% 0.21/0.44 % (24243)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (24243)Memory used [KB]: 5628
% 0.21/0.44 % (24243)Time elapsed: 0.013 s
% 0.21/0.44 % (24243)Instructions burned: 19 (million)
% 0.21/0.44 % (24243)------------------------------
% 0.21/0.44 % (24243)------------------------------
% 0.21/0.45 % (24247)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (2999ds/21Mi)
% 0.21/0.45 % (24248)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.21/0.45 % (24248)Instruction limit reached!
% 0.21/0.45 % (24248)------------------------------
% 0.21/0.45 % (24248)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (24248)Termination reason: Unknown
% 0.21/0.45 % (24248)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (24248)Memory used [KB]: 5500
% 0.21/0.45 % (24248)Time elapsed: 0.005 s
% 0.21/0.45 % (24248)Instructions burned: 5 (million)
% 0.21/0.45 % (24248)------------------------------
% 0.21/0.45 % (24248)------------------------------
% 0.21/0.45 % (24249)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.21/0.46 % (24249)Instruction limit reached!
% 0.21/0.46 % (24249)------------------------------
% 0.21/0.46 % (24249)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (24249)Termination reason: Unknown
% 0.21/0.46 % (24249)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (24249)Memory used [KB]: 5500
% 0.21/0.46 % (24249)Time elapsed: 0.006 s
% 0.21/0.46 % (24249)Instructions burned: 7 (million)
% 0.21/0.46 % (24249)------------------------------
% 0.21/0.46 % (24249)------------------------------
% 0.21/0.46 % (24247)Instruction limit reached!
% 0.21/0.46 % (24247)------------------------------
% 0.21/0.46 % (24247)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (24247)Termination reason: Unknown
% 0.21/0.46 % (24247)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (24247)Memory used [KB]: 5628
% 0.21/0.46 % (24247)Time elapsed: 0.016 s
% 0.21/0.46 % (24247)Instructions burned: 21 (million)
% 0.21/0.46 % (24247)------------------------------
% 0.21/0.46 % (24247)------------------------------
% 0.21/0.47 % (24250)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.21/0.47 % (24224)Instruction limit reached!
% 0.21/0.47 % (24224)------------------------------
% 0.21/0.47 % (24224)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (24224)Termination reason: Unknown
% 0.21/0.47 % (24224)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (24224)Memory used [KB]: 5884
% 0.21/0.47 % (24251)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on Vampire---4 for (2999ds/779Mi)
% 0.21/0.47 % (24224)Time elapsed: 0.103 s
% 0.21/0.47 % (24224)Instructions burned: 184 (million)
% 0.21/0.47 % (24224)------------------------------
% 0.21/0.47 % (24224)------------------------------
% 0.21/0.47 % (24252)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (2999ds/19Mi)
% 0.21/0.48 % (24252)Refutation not found, incomplete strategy
% 0.21/0.48 % (24252)------------------------------
% 0.21/0.48 % (24252)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (24252)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.48
% 0.21/0.48
% 0.21/0.48 % (24252)Memory used [KB]: 5500
% 0.21/0.48 % (24252)Time elapsed: 0.005 s
% 0.21/0.48 % (24252)Instructions burned: 5 (million)
% 0.21/0.48 % (24252)------------------------------
% 0.21/0.48 % (24252)------------------------------
% 0.21/0.49 % (24254)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2998ds/17Mi)
% 0.21/0.49 % (24253)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2998ds/879Mi)
% 0.21/0.50 % (24254)Instruction limit reached!
% 0.21/0.50 % (24254)------------------------------
% 0.21/0.50 % (24254)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (24254)Termination reason: Unknown
% 0.21/0.50 % (24254)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (24254)Memory used [KB]: 5628
% 0.21/0.50 % (24254)Time elapsed: 0.008 s
% 0.21/0.50 % (24254)Instructions burned: 17 (million)
% 0.21/0.50 % (24254)------------------------------
% 0.21/0.50 % (24254)------------------------------
% 0.21/0.50 % (24255)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.21/0.50 % (24255)Instruction limit reached!
% 0.21/0.50 % (24255)------------------------------
% 0.21/0.50 % (24255)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (24255)Termination reason: Unknown
% 0.21/0.50 % (24255)Termination phase: Property scanning
% 0.21/0.50
% 0.21/0.50 % (24255)Memory used [KB]: 1023
% 0.21/0.50 % (24255)Time elapsed: 0.002 s
% 0.21/0.50 % (24255)Instructions burned: 3 (million)
% 0.21/0.50 % (24255)------------------------------
% 0.21/0.50 % (24255)------------------------------
% 0.21/0.51 % (24229)Instruction limit reached!
% 0.21/0.51 % (24229)------------------------------
% 0.21/0.51 % (24229)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (24229)Termination reason: Unknown
% 0.21/0.51 % (24229)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (24229)Memory used [KB]: 5756
% 0.21/0.51 % (24229)Time elapsed: 0.141 s
% 0.21/0.51 % (24229)Instructions burned: 276 (million)
% 0.21/0.51 % (24229)------------------------------
% 0.21/0.51 % (24229)------------------------------
% 0.21/0.51 % (24256)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.21/0.51 % (24256)Refutation not found, incomplete strategy
% 0.21/0.51 % (24256)------------------------------
% 0.21/0.51 % (24256)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (24256)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 % (24256)Memory used [KB]: 5500
% 0.21/0.51 % (24256)Time elapsed: 0.002 s
% 0.21/0.51 % (24256)Instructions burned: 3 (million)
% 0.21/0.51 % (24256)------------------------------
% 0.21/0.51 % (24256)------------------------------
% 0.21/0.52 % (24257)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.21/0.52 % (24258)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2998ds/100Mi)
% 0.21/0.56 % (24258)Instruction limit reached!
% 0.21/0.56 % (24258)------------------------------
% 0.21/0.56 % (24258)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.56 % (24258)Termination reason: Unknown
% 0.21/0.56 % (24258)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (24258)Memory used [KB]: 5756
% 0.21/0.56 % (24258)Time elapsed: 0.035 s
% 0.21/0.56 % (24258)Instructions burned: 101 (million)
% 0.21/0.56 % (24258)------------------------------
% 0.21/0.56 % (24258)------------------------------
% 0.21/0.56 % (24257)Instruction limit reached!
% 0.21/0.56 % (24257)------------------------------
% 0.21/0.56 % (24257)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.56 % (24257)Termination reason: Unknown
% 0.21/0.56 % (24257)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (24257)Memory used [KB]: 5884
% 0.21/0.56 % (24257)Time elapsed: 0.042 s
% 0.21/0.56 % (24257)Instructions burned: 127 (million)
% 0.21/0.56 % (24257)------------------------------
% 0.21/0.56 % (24257)------------------------------
% 1.74/0.57 % (24259)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 1.74/0.57 % (24259)Instruction limit reached!
% 1.74/0.57 % (24259)------------------------------
% 1.74/0.57 % (24259)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.74/0.57 % (24259)Termination reason: Unknown
% 1.74/0.57 % (24259)Termination phase: Saturation
% 1.74/0.57
% 1.74/0.57 % (24259)Memory used [KB]: 5500
% 1.74/0.57 % (24259)Time elapsed: 0.002 s
% 1.74/0.57 % (24259)Instructions burned: 3 (million)
% 1.74/0.57 % (24259)------------------------------
% 1.74/0.57 % (24259)------------------------------
% 1.74/0.57 % (24260)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on Vampire---4 for (2998ds/20Mi)
% 1.74/0.57 % (24261)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (2997ds/86Mi)
% 1.74/0.58 % (24260)Instruction limit reached!
% 1.74/0.58 % (24260)------------------------------
% 1.74/0.58 % (24260)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.74/0.58 % (24260)Termination reason: Unknown
% 1.74/0.58 % (24260)Termination phase: Saturation
% 1.74/0.58
% 1.74/0.58 % (24260)Memory used [KB]: 5628
% 1.74/0.58 % (24260)Time elapsed: 0.008 s
% 1.74/0.58 % (24260)Instructions burned: 21 (million)
% 1.74/0.58 % (24260)------------------------------
% 1.74/0.58 % (24260)------------------------------
% 1.86/0.58 % (24262)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on Vampire---4 for (2997ds/107Mi)
% 1.86/0.60 % (24250)Instruction limit reached!
% 1.86/0.60 % (24250)------------------------------
% 1.86/0.60 % (24250)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.60 % (24250)Termination reason: Unknown
% 1.86/0.60 % (24250)Termination phase: Saturation
% 1.86/0.60
% 1.86/0.60 % (24250)Memory used [KB]: 6140
% 1.86/0.60 % (24250)Time elapsed: 0.134 s
% 1.86/0.60 % (24250)Instructions burned: 377 (million)
% 1.86/0.60 % (24250)------------------------------
% 1.86/0.60 % (24250)------------------------------
% 1.86/0.60 % (24261)Instruction limit reached!
% 1.86/0.60 % (24261)------------------------------
% 1.86/0.60 % (24261)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.60 % (24261)Termination reason: Unknown
% 1.86/0.60 % (24261)Termination phase: Saturation
% 1.86/0.60
% 1.86/0.60 % (24261)Memory used [KB]: 5756
% 1.86/0.60 % (24261)Time elapsed: 0.030 s
% 1.86/0.60 % (24261)Instructions burned: 86 (million)
% 1.86/0.60 % (24261)------------------------------
% 1.86/0.60 % (24261)------------------------------
% 1.86/0.61 % (24263)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on Vampire---4 for (2997ds/39Mi)
% 1.86/0.61 % (24264)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (2997ds/448Mi)
% 1.86/0.61 % (24264)Refutation not found, incomplete strategy
% 1.86/0.61 % (24264)------------------------------
% 1.86/0.61 % (24264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.61 % (24264)Termination reason: Refutation not found, incomplete strategy
% 1.86/0.61
% 1.86/0.61
% 1.86/0.61 % (24264)Memory used [KB]: 5500
% 1.86/0.61 % (24264)Time elapsed: 0.002 s
% 1.86/0.61 % (24264)Instructions burned: 3 (million)
% 1.86/0.61 % (24264)------------------------------
% 1.86/0.61 % (24264)------------------------------
% 1.86/0.62 % (24262)Instruction limit reached!
% 1.86/0.62 % (24262)------------------------------
% 1.86/0.62 % (24262)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.62 % (24262)Termination reason: Unknown
% 1.86/0.62 % (24262)Termination phase: Saturation
% 1.86/0.62
% 1.86/0.62 % (24262)Memory used [KB]: 5756
% 1.86/0.62 % (24262)Time elapsed: 0.036 s
% 1.86/0.62 % (24262)Instructions burned: 107 (million)
% 1.86/0.62 % (24262)------------------------------
% 1.86/0.62 % (24262)------------------------------
% 1.86/0.62 % (24263)First to succeed.
% 2.20/0.62 % (24265)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on Vampire---4 for (2997ds/46Mi)
% 2.20/0.62 % (24263)Refutation found. Thanks to Tanya!
% 2.20/0.62 % SZS status Theorem for Vampire---4
% 2.20/0.62 % SZS output start Proof for Vampire---4
% See solution above
% 2.20/0.62 % (24263)------------------------------
% 2.20/0.62 % (24263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.20/0.62 % (24263)Termination reason: Refutation
% 2.20/0.62
% 2.20/0.62 % (24263)Memory used [KB]: 5756
% 2.20/0.62 % (24263)Time elapsed: 0.014 s
% 2.20/0.62 % (24263)Instructions burned: 32 (million)
% 2.20/0.62 % (24263)------------------------------
% 2.20/0.62 % (24263)------------------------------
% 2.20/0.62 % (24223)Success in time 0.257 s
% 2.20/0.62 % Vampire---4.8 exiting
%------------------------------------------------------------------------------