%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM811^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:18:58 AM UTC 2026
% Result : Theorem 0.86s 0.38s
% Output : Refutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 7
% Syntax : Number of formulae : 78 ( 35 unt; 0 typ; 5 def)
% Number of atoms : 465 ( 66 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 815 ( 46 ~; 47 |; 28 &; 533 @)
% ( 5 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 28 ( 23 usr; 14 con; 0-4 aty)
% ( 76 !!; 28 ??; 0 @@+; 0 @@-)
% Number of variables : 135 ( 0 sgn 49 !; 3 ?; 135 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
cS: $i > $i ).
thf(func_def_2,type,
c_plus: $i > $i > $i > $o ).
thf(func_def_3,type,
cIND: $o ).
thf(func_def_5,type,
vNOT: $o > $o ).
thf(func_def_6,type,
vIMP: $o > $o > $o ).
thf(func_def_7,type,
vAND: $o > $o > $o ).
thf(func_def_8,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_9,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_13,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_19,type,
sK3: ( $i > $o ) > $i ).
thf(f1,axiom,
! [X0: $i > $o] :
( ( ( ( X0 @ c0 )
& ! [X1: $i] :
( ( X0 @ X1 )
=> ( X0 @ ( cS @ X1 ) ) ) )
=> ! [X1: $i] : ( X0 @ X1 ) )
= cIND ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cIND_def) ).
thf(f2,conjecture,
( ( ! [X0: $i] : ( c_plus @ c0 @ X0 @ X0 )
& ! [X2: $i,X0: $i,X1: $i] :
( ( c_plus @ X1 @ X0 @ X2 )
=> ( c_plus @ ( cS @ X1 ) @ X0 @ ( cS @ X2 ) ) )
& cIND )
=> ! [X1: $i,X0: $i] :
? [X2: $i] : ( c_plus @ X1 @ X0 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM129) ).
thf(f3,negated_conjecture,
~ ( ( ! [X0: $i] : ( c_plus @ c0 @ X0 @ X0 )
& ! [X2: $i,X0: $i,X1: $i] :
( ( c_plus @ X1 @ X0 @ X2 )
=> ( c_plus @ ( cS @ X1 ) @ X0 @ ( cS @ X2 ) ) )
& cIND )
=> ! [X1: $i,X0: $i] :
? [X2: $i] : ( c_plus @ X1 @ X0 @ X2 ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
thf(f4,plain,
~ ( ( ! [X0: $i] : ( c_plus @ c0 @ X0 @ X0 )
& ! [X1: $i,X2: $i,X3: $i] :
( ( c_plus @ X3 @ X2 @ X1 )
=> ( c_plus @ ( cS @ X3 ) @ X2 @ ( cS @ X1 ) ) )
& cIND )
=> ! [X4: $i,X5: $i] :
? [X6: $i] : ( c_plus @ X4 @ X5 @ X6 ) ),
inference(rectify,[],[f3]) ).
thf(f5,plain,
( ( ~ ( ( cIND
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( c_plus @ Y0 @ Y1 @ Y2 )
=> ( c_plus @ ( cS @ Y0 ) @ Y1 @ ( cS @ Y2 ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] : ( c_plus @ c0 @ Y0 @ Y0 ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( c_plus @ Y1 @ Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f4]) ).
thf(f6,plain,
! [X0: $i > $o] :
( ( ( ( X0 @ c0 )
& ! [X1: $i] :
( ( X0 @ X1 )
=> ( X0 @ ( cS @ X1 ) ) ) )
=> ! [X2: $i] : ( X0 @ X2 ) )
= cIND ),
inference(rectify,[],[f1]) ).
thf(f7,plain,
( cIND
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
( cIND
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f9,plain,
( ( ~ ( ( cIND
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( c_plus @ Y0 @ Y1 @ Y2 )
=> ( c_plus @ ( cS @ Y0 ) @ Y1 @ ( cS @ Y2 ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] : ( c_plus @ c0 @ Y0 @ Y0 ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( c_plus @ Y1 @ Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f12,plain,
( ( ~ ( ( cIND
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( c_plus @ Y0 @ Y1 @ Y2 )
=> ( c_plus @ ( cS @ Y0 ) @ Y1 @ ( cS @ Y2 ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] : ( c_plus @ c0 @ Y0 @ Y0 ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( c_plus @ Y1 @ Y0 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f9]) ).
thf(f13,plain,
( cIND
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !! @ $i @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f8]) ).
thf(f14,plain,
( ( ( cIND
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( c_plus @ Y0 @ Y1 @ Y2 )
=> ( c_plus @ ( cS @ Y0 ) @ Y1 @ ( cS @ Y2 ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] : ( c_plus @ c0 @ Y0 @ Y0 ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( c_plus @ Y1 @ Y0 ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f12]) ).
thf(f16,plain,
( ( cIND = $false )
| ( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !! @ $i @ Y0 ) ) ) ) ),
inference(iff_proxy_clausification,[],[f13]) ).
thf(f17,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( c_plus @ Y1 @ Y0 ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f14]) ).
thf(f18,plain,
( $true
= ( cIND
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( c_plus @ Y0 @ Y1 @ Y2 )
=> ( c_plus @ ( cS @ Y0 ) @ Y1 @ ( cS @ Y2 ) ) ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] : ( c_plus @ c0 @ Y0 @ Y0 ) ) ) ),
inference(imp_proxy_clausification,[],[f14]) ).
thf(f20,definition,
( spl0_1
<=> ( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !! @ $i @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f22,plain,
( ( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !! @ $i @ Y0 ) ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f20]) ).
thf(f24,definition,
( spl0_2
<=> ( cIND = $false ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f26,plain,
( ( cIND = $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f24]) ).
thf(f27,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f24,f20]) ).
thf(f33,definition,
( spl0_4
<=> ( cIND = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f35,plain,
( ( cIND = $true )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f33]) ).
thf(f37,plain,
( ( !! @ $i
@ ^ [Y0: $i] : ( c_plus @ c0 @ Y0 @ Y0 ) )
= $true ),
inference(and_proxy_clausification,[],[f18]) ).
thf(f38,plain,
( $true
= ( cIND
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( c_plus @ Y0 @ Y1 @ Y2 )
=> ( c_plus @ ( cS @ Y0 ) @ Y1 @ ( cS @ Y2 ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f18]) ).
thf(f39,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( c_plus @ Y0 @ Y1 @ Y2 )
=> ( c_plus @ ( cS @ Y0 ) @ Y1 @ ( cS @ Y2 ) ) ) ) ) )
= $true ),
inference(and_proxy_clausification,[],[f38]) ).
thf(f40,plain,
cIND = $true,
inference(and_proxy_clausification,[],[f38]) ).
thf(f41,plain,
spl0_4,
inference(avatar_split_clause,[],[f40,f33]) ).
thf(f42,plain,
( ( $false = $true )
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f35,f26]) ).
thf(f43,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f42]) ).
thf(f44,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f43]) ).
thf(f46,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : ( c_plus @ c0 @ Y0 @ Y0 )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f37]) ).
thf(f47,plain,
! [X1: $i] :
( $true
= ( c_plus @ c0 @ X1 @ X1 ) ),
inference(beta-eta_normalization,[],[f46]) ).
thf(f48,plain,
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( c_plus @ Y1 @ Y0 ) ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f17]) ).
thf(f49,plain,
( ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( c_plus @ Y0 @ sK1 ) ) )
= $false ),
inference(beta-eta_normalization,[],[f48]) ).
thf(f53,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( c_plus @ Y0 @ Y1 @ Y2 )
=> ( c_plus @ ( cS @ Y0 ) @ Y1 @ ( cS @ Y2 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f39]) ).
thf(f54,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( c_plus @ X1 @ Y0 @ Y1 )
=> ( c_plus @ ( cS @ X1 ) @ Y0 @ ( cS @ Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f53]) ).
thf(f55,plain,
( ! [X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( ( ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) )
& ( Y0 @ c0 ) )
=> ( !! @ $i @ Y0 ) )
@ X1 )
= $true )
| ~ spl0_1 ),
inference(pi_proxy_clausification,[],[f22]) ).
thf(f56,plain,
( ! [X1: $i > $o] :
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X1 @ ( cS @ Y0 ) ) ) )
& ( X1 @ c0 ) )
=> ( !! @ $i @ X1 ) )
= $true )
| ~ spl0_1 ),
inference(beta-eta_normalization,[],[f55]) ).
thf(f57,plain,
( ! [X1: $i > $o] :
( ( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X1 @ ( cS @ Y0 ) ) ) )
& ( X1 @ c0 ) ) )
| ( ( !! @ $i @ X1 )
= $true ) )
| ~ spl0_1 ),
inference(imp_proxy_clausification,[],[f56]) ).
thf(f58,plain,
( ! [X1: $i > $o] :
( ( ( !! @ $i @ X1 )
= $true )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X1 @ ( cS @ Y0 ) ) ) ) )
| ( ( X1 @ c0 )
= $false ) )
| ~ spl0_1 ),
inference(and_proxy_clausification,[],[f57]) ).
thf(f61,plain,
( ( $false = $true )
| ( ( ^ [Y0: $i] : ( ?? @ $i @ ( c_plus @ Y0 @ sK1 ) )
@ c0 )
= $false )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ^ [Y1: $i] : ( ?? @ $i @ ( c_plus @ Y1 @ sK1 ) )
@ Y0 )
=> ( ^ [Y1: $i] : ( ?? @ $i @ ( c_plus @ Y1 @ sK1 ) )
@ ( cS @ Y0 ) ) ) ) )
| ~ spl0_1 ),
inference(superposition,[],[f58,f49]) ).
thf(f68,plain,
( ( ( ^ [Y0: $i] : ( ?? @ $i @ ( c_plus @ Y0 @ sK1 ) )
@ c0 )
= $false )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ^ [Y1: $i] : ( ?? @ $i @ ( c_plus @ Y1 @ sK1 ) )
@ Y0 )
=> ( ^ [Y1: $i] : ( ?? @ $i @ ( c_plus @ Y1 @ sK1 ) )
@ ( cS @ Y0 ) ) ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f61]) ).
thf(f69,plain,
( ( ( ?? @ $i @ ( c_plus @ c0 @ sK1 ) )
= $false )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i @ ( c_plus @ Y0 @ sK1 ) )
=> ( ?? @ $i @ ( c_plus @ ( cS @ Y0 ) @ sK1 ) ) ) ) )
| ~ spl0_1 ),
inference(beta-eta_normalization,[],[f68]) ).
thf(f73,definition,
( spl0_5
<=> ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i @ ( c_plus @ Y0 @ sK1 ) )
=> ( ?? @ $i @ ( c_plus @ ( cS @ Y0 ) @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f75,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i @ ( c_plus @ Y0 @ sK1 ) )
=> ( ?? @ $i @ ( c_plus @ ( cS @ Y0 ) @ sK1 ) ) ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f73]) ).
thf(f77,definition,
( spl0_6
<=> ( ( ?? @ $i @ ( c_plus @ c0 @ sK1 ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f79,plain,
( ( ( ?? @ $i @ ( c_plus @ c0 @ sK1 ) )
= $false )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f77]) ).
thf(f90,plain,
( spl0_6
| spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f69,f20,f73,f77]) ).
thf(f178,plain,
( ( ( ^ [Y0: $i] :
( ( ?? @ $i @ ( c_plus @ Y0 @ sK1 ) )
=> ( ?? @ $i @ ( c_plus @ ( cS @ Y0 ) @ sK1 ) ) )
@ sK5 )
= $false )
| ~ spl0_5 ),
inference(sigma_proxy_clausification,[],[f75]) ).
thf(f181,plain,
( ( $false
= ( ( ?? @ $i @ ( c_plus @ sK5 @ sK1 ) )
=> ( ?? @ $i @ ( c_plus @ ( cS @ sK5 ) @ sK1 ) ) ) )
| ~ spl0_5 ),
inference(beta-eta_normalization,[],[f178]) ).
thf(f186,plain,
( ( ( ?? @ $i @ ( c_plus @ ( cS @ sK5 ) @ sK1 ) )
= $false )
| ~ spl0_5 ),
inference(imp_proxy_clausification,[],[f181]) ).
thf(f187,plain,
( ( ( ?? @ $i @ ( c_plus @ sK5 @ sK1 ) )
= $true )
| ~ spl0_5 ),
inference(imp_proxy_clausification,[],[f181]) ).
thf(f208,plain,
( ! [X1: $i] :
( ( c_plus @ c0 @ sK1 @ X1 )
= $false )
| ~ spl0_6 ),
inference(pi_proxy_clausification,[],[f79]) ).
thf(f210,plain,
( ( $false = $true )
| ~ spl0_6 ),
inference(superposition,[],[f47,f208]) ).
thf(f213,plain,
( $false
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f210]) ).
thf(f214,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f213]) ).
thf(f221,plain,
( ( ( c_plus @ sK5 @ sK1 @ sK7 )
= $true )
| ~ spl0_5 ),
inference(sigma_proxy_clausification,[],[f187]) ).
thf(f232,plain,
( ! [X1: $i] :
( $false
= ( c_plus @ ( cS @ sK5 ) @ sK1 @ X1 ) )
| ~ spl0_5 ),
inference(pi_proxy_clausification,[],[f186]) ).
thf(f298,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( c_plus @ X1 @ Y0 @ Y1 )
=> ( c_plus @ ( cS @ X1 ) @ Y0 @ ( cS @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f54]) ).
thf(f299,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( c_plus @ X1 @ X2 @ Y0 )
=> ( c_plus @ ( cS @ X1 ) @ X2 @ ( cS @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f298]) ).
thf(f301,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( c_plus @ X1 @ X2 @ Y0 )
=> ( c_plus @ ( cS @ X1 ) @ X2 @ ( cS @ Y0 ) ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f299]) ).
thf(f302,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( c_plus @ X1 @ X2 @ X3 )
=> ( c_plus @ ( cS @ X1 ) @ X2 @ ( cS @ X3 ) ) ) ),
inference(beta-eta_normalization,[],[f301]) ).
thf(f303,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( c_plus @ ( cS @ X1 ) @ X2 @ ( cS @ X3 ) ) )
| ( $false
= ( c_plus @ X1 @ X2 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f302]) ).
thf(f306,plain,
( ! [X0: $i] :
( ( $false = $true )
| ( $false
= ( c_plus @ sK5 @ sK1 @ X0 ) ) )
| ~ spl0_5 ),
inference(superposition,[],[f232,f303]) ).
thf(f308,plain,
( ! [X0: $i] :
( $false
= ( c_plus @ sK5 @ sK1 @ X0 ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f306]) ).
thf(f313,plain,
( ( $false = $true )
| ~ spl0_5 ),
inference(superposition,[],[f221,f308]) ).
thf(f316,plain,
( $false
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f313]) ).
thf(f317,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f316]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f27]) ).
cnf(s3,plain,
spl0_4,
inference(sat_conversion,[],[f41]) ).
cnf(s4,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f44]) ).
cnf(s7,plain,
( ~ spl0_1
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f90]) ).
cnf(s21,plain,
~ spl0_6,
inference(sat_conversion,[],[f214]) ).
cnf(s31,plain,
~ spl0_5,
inference(sat_conversion,[],[f317]) ).
cnf(s34,plain,
~ spl0_1,
inference(rat,[],[s7,s21,s31]) ).
cnf(s35,plain,
~ spl0_2,
inference(rat,[],[s4,s3]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s1,s35,s34]) ).
thf(f318,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM811^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n026.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 13:03:57 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.35 % (552477)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.35 % (552483)lrs+10_16_si=on:nwc=1.5:random_seed=3841996626:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.35 % (552488)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.35 % (552488)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.35 % (552483)Instruction limit reached!
% 0.21/0.35 % (552483)------------------------------
% 0.21/0.35 % (552483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (552483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (552483)CaDiCaL version: 2.1.3
% 0.21/0.35 % (552483)Termination reason: Instruction limit
% 0.21/0.35 % (552483)Termination phase: Saturation
% 0.21/0.35 % (552483)Time elapsed: 0.006 s
% 0.21/0.35 % (552483)Peak memory usage: 12 MB
% 0.21/0.35 % (552483)Instructions burned: 19 (million)
% 0.21/0.35 % (552482)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1713450957:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.35 % (552487)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=530520361:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.35 % (552484)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2873494930:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.35 % (552486)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2957920038:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.35 % (552485)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2666162561:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.21/0.35 % (552488)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=822571064:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.35 % (552484)Instruction limit reached!
% 0.21/0.35 % (552484)------------------------------
% 0.21/0.35 % (552484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (552484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (552484)CaDiCaL version: 2.1.3
% 0.21/0.35 % (552484)Termination reason: Instruction limit
% 0.21/0.35 % (552484)Termination phase: Saturation
% 0.21/0.35 % (552484)Time elapsed: 0.003 s
% 0.21/0.35 % (552484)Peak memory usage: 12 MB
% 0.21/0.35 % (552484)Instructions burned: 4 (million)
% 0.21/0.35 % (552490)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3302638897:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.35 % (552490)Instruction limit reached!
% 0.21/0.35 % (552490)------------------------------
% 0.21/0.35 % (552490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (552490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (552490)CaDiCaL version: 2.1.3
% 0.21/0.35 % (552490)Termination reason: Instruction limit
% 0.21/0.35 % (552490)Termination phase: Saturation
% 0.21/0.35 % (552490)Time elapsed: 0.001 s
% 0.21/0.35 % (552490)Peak memory usage: 12 MB
% 0.21/0.35 % (552490)Instructions burned: 2 (million)
% 0.21/0.35 % (552488)Refutation not found, incomplete strategy
% 0.21/0.35 % (552488)------------------------------
% 0.21/0.35 % (552488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (552488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (552488)CaDiCaL version: 2.1.3
% 0.21/0.35 % (552488)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.35 % (552488)Time elapsed: 0.014 s
% 0.21/0.35 % (552488)Peak memory usage: 12 MB
% 0.21/0.35 % (552488)Instructions burned: 24 (million)
% 0.21/0.35 % (552486)Instruction limit reached!
% 0.21/0.35 % (552486)------------------------------
% 0.21/0.35 % (552486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (552486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (552486)CaDiCaL version: 2.1.3
% 0.86/0.38 % (552486)Termination reason: Instruction limit
% 0.86/0.38 % (552486)Termination phase: Saturation
% 0.86/0.38 % (552486)Time elapsed: 0.015 s
% 0.86/0.38 % (552486)Peak memory usage: 12 MB
% 0.86/0.38 % (552486)Instructions burned: 25 (million)
% 0.86/0.38 % (552488)------------------------------
% 0.86/0.38 % (552488)------------------------------
% 0.86/0.38 % (552499)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.38 % (552499)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=156089102:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.86/0.38 % (552497)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=219219499:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.86/0.38 % (552499)Instruction limit reached!
% 0.86/0.38 % (552499)------------------------------
% 0.86/0.38 % (552499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (552499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (552499)CaDiCaL version: 2.1.3
% 0.86/0.38 % (552499)Termination reason: Instruction limit
% 0.86/0.38 % (552499)Termination phase: Saturation
% 0.86/0.38 % (552499)Time elapsed: 0.003 s
% 0.86/0.38 % (552499)Peak memory usage: 12 MB
% 0.86/0.38 % (552499)Instructions burned: 10 (million)
% 0.86/0.38 % (552497)Instruction limit reached!
% 0.86/0.38 % (552497)------------------------------
% 0.86/0.38 % (552497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (552497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (552497)CaDiCaL version: 2.1.3
% 0.86/0.38 % (552497)Termination reason: Instruction limit
% 0.86/0.38 % (552497)Termination phase: Saturation
% 0.86/0.38 % (552497)Time elapsed: 0.004 s
% 0.86/0.38 % (552497)Peak memory usage: 12 MB
% 0.86/0.38 % (552497)Instructions burned: 6 (million)
% 0.86/0.38 % (552501)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.86/0.38 % (552501)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.86/0.38 % (552500)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2736845968:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.86/0.38 % (552501)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=295004604:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.86/0.38 % (552504)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3457484677:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.86/0.38 % (552487)Instruction limit reached!
% 0.86/0.38 % (552487)------------------------------
% 0.86/0.38 % (552487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (552487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (552487)CaDiCaL version: 2.1.3
% 0.86/0.38 % (552487)Termination reason: Instruction limit
% 0.86/0.38 % (552487)Termination phase: Saturation
% 0.86/0.38 % (552487)Time elapsed: 0.041 s
% 0.86/0.38 % (552487)Peak memory usage: 12 MB
% 0.86/0.38 % (552487)Instructions burned: 76 (million)
% 0.86/0.38 % (552500)Instruction limit reached!
% 0.86/0.38 % (552500)------------------------------
% 0.86/0.38 % (552500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (552500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (552500)CaDiCaL version: 2.1.3
% 0.86/0.38 % (552500)Termination reason: Instruction limit
% 0.86/0.38 % (552500)Termination phase: Saturation
% 0.86/0.38 % (552500)Time elapsed: 0.007 s
% 0.86/0.38 % (552500)Peak memory usage: 12 MB
% 0.86/0.38 % (552500)Instructions burned: 13 (million)
% 0.86/0.38 % (552505)lrs+10_1_si=on:cs=on:random_seed=4053016344:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.86/0.38 % (552482)Instruction limit reached!
% 0.86/0.38 % (552482)------------------------------
% 0.86/0.38 % (552482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (552482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (552482)CaDiCaL version: 2.1.3
% 0.86/0.38 % (552482)Termination reason: Instruction limit
% 0.86/0.38 % (552482)Termination phase: Saturation
% 0.86/0.38 % (552482)Time elapsed: 0.048 s
% 0.86/0.38 % (552482)Peak memory usage: 12 MB
% 0.86/0.38 % (552482)Instructions burned: 88 (million)
% 0.86/0.38 % (552505)Instruction limit reached!
% 0.86/0.38 % (552505)------------------------------
% 0.86/0.38 % (552505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (552505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (552505)CaDiCaL version: 2.1.3
% 0.86/0.38 % (552505)Termination reason: Instruction limit
% 0.86/0.38 % (552505)Termination phase: Saturation
% 0.86/0.38 % (552505)Time elapsed: 0.004 s
% 0.86/0.38 % (552505)Peak memory usage: 11 MB
% 0.86/0.38 % (552505)Instructions burned: 8 (million)
% 0.86/0.38 % (552501)Instruction limit reached!
% 0.86/0.38 % (552501)------------------------------
% 0.86/0.38 % (552501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (552501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (552501)CaDiCaL version: 2.1.3
% 0.86/0.38 % (552501)Termination reason: Instruction limit
% 0.86/0.38 % (552501)Termination phase: Saturation
% 0.86/0.38 % (552501)Time elapsed: 0.016 s
% 0.86/0.38 % (552501)Peak memory usage: 12 MB
% 0.86/0.38 % (552501)Instructions burned: 30 (million)
% 0.86/0.38 % (552509)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.86/0.38 % (552504)Instruction limit reached!
% 0.86/0.38 % (552504)------------------------------
% 0.86/0.38 % (552504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (552504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (552504)CaDiCaL version: 2.1.3
% 0.86/0.38 % (552504)Termination reason: Instruction limit
% 0.86/0.38 % (552504)Termination phase: Saturation
% 0.86/0.38 % (552504)Time elapsed: 0.021 s
% 0.86/0.38 % (552504)Peak memory usage: 12 MB
% 0.86/0.38 % (552504)Instructions burned: 88 (million)
% 0.86/0.38 % (552510)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1822722271:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.86/0.38 % (552509)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2257227479:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.86/0.38 % (552509)Instruction limit reached!
% 0.86/0.38 % (552509)------------------------------
% 0.86/0.38 % (552509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (552509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (552509)CaDiCaL version: 2.1.3
% 0.86/0.38 % (552509)Termination reason: Instruction limit
% 0.86/0.38 % (552509)Termination phase: Saturation
% 0.86/0.38 % (552509)Time elapsed: 0.002 s
% 0.86/0.38 % (552509)Peak memory usage: 12 MB
% 0.86/0.38 % (552509)Instructions burned: 2 (million)
% 0.86/0.38 % (552512)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1352987859:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.86/0.38 % (552513)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1757986880:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.86/0.38 % (552514)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3617532840:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.86/0.38 % (552513)Refutation not found, incomplete strategy
% 0.86/0.38 % (552513)------------------------------
% 0.86/0.38 % (552513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (552513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (552513)CaDiCaL version: 2.1.3
% 0.86/0.38 % (552513)Termination reason: Refutation not found, incomplete strategy
% 0.86/0.38 % (552513)Time elapsed: 0.003 s
% 0.86/0.38 % (552513)Peak memory usage: 12 MB
% 0.86/0.38 % (552513)Instructions burned: 3 (million)
% 0.86/0.38 % (552515)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=559998623:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.86/0.38 % (552518)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2214684963:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.86/0.38 % (552513)------------------------------
% 0.86/0.38 % (552513)------------------------------
% 0.86/0.38 % (552518)Instruction limit reached!
% 0.86/0.38 % (552518)------------------------------
% 0.86/0.38 % (552518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (552518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (552518)CaDiCaL version: 2.1.3
% 0.86/0.38 % (552518)Termination reason: Instruction limit
% 0.86/0.38 % (552518)Termination phase: Saturation
% 0.86/0.38 % (552518)Time elapsed: 0.005 s
% 0.86/0.38 % (552518)Peak memory usage: 12 MB
% 0.86/0.38 % (552518)Instructions burned: 15 (million)
% 0.86/0.38 % (552514)Instruction limit reached!
% 0.86/0.38 % (552514)------------------------------
% 0.86/0.38 % (552514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (552514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (552514)CaDiCaL version: 2.1.3
% 0.86/0.38 % (552514)Termination reason: Instruction limit
% 0.86/0.38 % (552514)Termination phase: Saturation
% 0.86/0.38 % (552514)Time elapsed: 0.009 s
% 0.86/0.38 % (552514)Peak memory usage: 12 MB
% 0.86/0.38 % (552514)Instructions burned: 14 (million)
% 0.86/0.38 % (552510)Instruction limit reached!
% 0.86/0.38 % (552510)------------------------------
% 0.86/0.38 % (552510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (552510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (552510)CaDiCaL version: 2.1.3
% 0.86/0.38 % (552510)Termination reason: Instruction limit
% 0.86/0.38 % (552510)Termination phase: Saturation
% 0.86/0.38 % (552510)Time elapsed: 0.021 s
% 0.86/0.38 % (552510)Peak memory usage: 12 MB
% 0.86/0.38 % (552510)Instructions burned: 40 (million)
% 0.86/0.38 % (552525)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=54794112:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.86/0.38 % (552524)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1326807497:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.86/0.38 % (552524)Instruction limit reached!
% 0.86/0.38 % (552524)------------------------------
% 0.86/0.38 % (552524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (552524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (552524)CaDiCaL version: 2.1.3
% 0.86/0.38 % (552524)Termination reason: Instruction limit
% 0.86/0.38 % (552524)Termination phase: Saturation
% 0.86/0.38 % (552524)Time elapsed: 0.002 s
% 0.86/0.38 % (552524)Peak memory usage: 12 MB
% 0.86/0.38 % (552524)Instructions burned: 2 (million)
% 0.86/0.38 % (552525) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-552477-552525"...
% 0.86/0.38 % (552525)...printing done.
% 0.86/0.38 % (552526)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=4282715425:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.86/0.38 % (552525)Refutation found. Thanks to Tanya!
% 0.86/0.38 % SZS status Theorem for theBenchmark
% 0.86/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.86/0.38 % (552525)------------------------------
% 0.86/0.38 % (552525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.38 % (552525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.38 % (552525)CaDiCaL version: 2.1.3
% 0.86/0.38 % (552525)Termination reason: Refutation
% 0.86/0.38 % (552525)Time elapsed: 0.008 s
% 0.86/0.38 % (552525)Peak memory usage: 13 MB
% 0.86/0.38 % (552525)Instructions burned: 24 (million)
% 0.86/0.38 % (552477)Success in time 0.131 s
% 0.86/0.38 % Vampire exiting
%------------------------------------------------------------------------------