%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM832^5 : 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 : n008.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 08:19:00 AM UTC 2026
% Result : Theorem 6.50s 1.36s
% Output : Refutation 6.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 9
% Syntax : Number of formulae : 117 ( 42 unt; 0 typ; 7 def)
% Number of atoms : 834 ( 107 equ; 0 cnn)
% Maximal formula atoms : 11 ( 7 avg)
% Number of connectives : 1581 ( 86 ~; 97 |; 38 &;1070 @)
% ( 7 <=>; 97 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 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 : 34 ( 29 usr; 17 con; 0-4 aty)
% ( 135 !!; 51 ??; 0 @@+; 0 @@-)
% Number of variables : 245 ( 0 sgn 89 !; 3 ?; 245 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
cR: $i > $i > $i > $o ).
thf(func_def_2,type,
cS: $i > $i ).
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,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_12,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_20,type,
sK3: ( $i > $o ) > $i ).
thf(func_def_22,type,
sK5: $i > $i ).
thf(func_def_26,type,
sK9: $i > $i ).
thf(f1,axiom,
! [X0: $i > $o] :
( ( ( ! [X1: $i] :
( ( X0 @ X1 )
=> ( X0 @ ( cS @ X1 ) ) )
& ( X0 @ c0 ) )
=> ! [X1: $i] : ( X0 @ X1 ) )
= cIND ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cIND_def) ).
thf(f2,conjecture,
( ( ! [X0: $i] : ( cR @ c0 @ X0 @ ( cS @ X0 ) )
& cIND
& ! [X2: $i,X1: $i,X0: $i,X3: $i] :
( ( cR @ ( cS @ X1 ) @ X0 @ X3 )
=> ( ( cR @ X1 @ X3 @ X2 )
=> ( cR @ ( cS @ X1 ) @ ( cS @ X0 ) @ X2 ) ) )
& ! [X2: $i,X1: $i] :
( ( cR @ X1 @ ( cS @ c0 ) @ X2 )
=> ( cR @ ( cS @ X1 ) @ c0 @ X2 ) ) )
=> ! [X5: $i,X4: $i] :
? [X6: $i] : ( cR @ X4 @ X5 @ X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM604) ).
thf(f3,negated_conjecture,
~ ( ( ! [X0: $i] : ( cR @ c0 @ X0 @ ( cS @ X0 ) )
& cIND
& ! [X2: $i,X1: $i,X0: $i,X3: $i] :
( ( cR @ ( cS @ X1 ) @ X0 @ X3 )
=> ( ( cR @ X1 @ X3 @ X2 )
=> ( cR @ ( cS @ X1 ) @ ( cS @ X0 ) @ X2 ) ) )
& ! [X2: $i,X1: $i] :
( ( cR @ X1 @ ( cS @ c0 ) @ X2 )
=> ( cR @ ( cS @ X1 ) @ c0 @ X2 ) ) )
=> ! [X5: $i,X4: $i] :
? [X6: $i] : ( cR @ X4 @ X5 @ X6 ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
thf(f4,plain,
~ ( ( ! [X0: $i] : ( cR @ c0 @ X0 @ ( cS @ X0 ) )
& cIND
& ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( cR @ ( cS @ X2 ) @ X3 @ X4 )
=> ( ( cR @ X2 @ X4 @ X1 )
=> ( cR @ ( cS @ X2 ) @ ( cS @ X3 ) @ X1 ) ) )
& ! [X5: $i,X6: $i] :
( ( cR @ X6 @ ( cS @ c0 ) @ X5 )
=> ( cR @ ( cS @ X6 ) @ c0 @ X5 ) ) )
=> ! [X7: $i,X8: $i] :
? [X9: $i] : ( cR @ X8 @ X7 @ X9 ) ),
inference(rectify,[],[f3]) ).
thf(f5,plain,
( ( ~ ( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cR @ Y0 @ ( cS @ c0 ) @ Y1 )
=> ( cR @ ( cS @ Y0 ) @ c0 @ Y1 ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( cR @ ( cS @ Y2 ) @ Y1 @ Y0 )
=> ( ( cR @ Y2 @ Y0 @ Y3 )
=> ( cR @ ( cS @ Y2 ) @ ( cS @ Y1 ) @ Y3 ) ) ) ) ) ) )
& cIND
& ( !! @ $i
@ ^ [Y0: $i] : ( cR @ c0 @ Y0 @ ( cS @ Y0 ) ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( cR @ Y0 @ Y1 @ Y2 ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f4]) ).
thf(f6,plain,
! [X0: $i > $o] :
( ( ( ! [X1: $i] :
( ( X0 @ X1 )
=> ( X0 @ ( cS @ X1 ) ) )
& ( X0 @ c0 ) )
=> ! [X2: $i] : ( X0 @ X2 ) )
= cIND ),
inference(rectify,[],[f1]) ).
thf(f7,plain,
( cIND
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( Y0 @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
( ( ~ ( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cR @ Y0 @ ( cS @ c0 ) @ Y1 )
=> ( cR @ ( cS @ Y0 ) @ c0 @ Y1 ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( cR @ ( cS @ Y2 ) @ Y1 @ Y0 )
=> ( ( cR @ Y2 @ Y0 @ Y3 )
=> ( cR @ ( cS @ Y2 ) @ ( cS @ Y1 ) @ Y3 ) ) ) ) ) ) )
& cIND
& ( !! @ $i
@ ^ [Y0: $i] : ( cR @ c0 @ Y0 @ ( cS @ Y0 ) ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( cR @ Y0 @ Y1 @ Y2 ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f5]) ).
thf(f9,plain,
( cIND
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( Y0 @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f12,plain,
( cIND
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( Y0 @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) ) )
=> ( !! @ $i @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f9]) ).
thf(f13,plain,
( ( ~ ( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cR @ Y0 @ ( cS @ c0 ) @ Y1 )
=> ( cR @ ( cS @ Y0 ) @ c0 @ Y1 ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( cR @ ( cS @ Y2 ) @ Y1 @ Y0 )
=> ( ( cR @ Y2 @ Y0 @ Y3 )
=> ( cR @ ( cS @ Y2 ) @ ( cS @ Y1 ) @ Y3 ) ) ) ) ) ) )
& cIND
& ( !! @ $i
@ ^ [Y0: $i] : ( cR @ c0 @ Y0 @ ( cS @ Y0 ) ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( cR @ Y0 @ Y1 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f8]) ).
thf(f15,plain,
( ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( Y0 @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) ) )
=> ( !! @ $i @ Y0 ) ) )
= $true )
| ( cIND = $false ) ),
inference(iff_proxy_clausification,[],[f12]) ).
thf(f16,plain,
( $false
= ( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cR @ Y0 @ ( cS @ c0 ) @ Y1 )
=> ( cR @ ( cS @ Y0 ) @ c0 @ Y1 ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( cR @ ( cS @ Y2 ) @ Y1 @ Y0 )
=> ( ( cR @ Y2 @ Y0 @ Y3 )
=> ( cR @ ( cS @ Y2 ) @ ( cS @ Y1 ) @ Y3 ) ) ) ) ) ) )
& cIND
& ( !! @ $i
@ ^ [Y0: $i] : ( cR @ c0 @ Y0 @ ( cS @ Y0 ) ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( cR @ Y0 @ Y1 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f13]) ).
thf(f18,definition,
( spl0_1
<=> ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( Y0 @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) ) )
=> ( !! @ $i @ Y0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f20,plain,
( ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( Y0 @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) ) )
=> ( !! @ $i @ Y0 ) ) )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f18]) ).
thf(f22,definition,
( spl0_2
<=> ( cIND = $false ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f24,plain,
( ( cIND = $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f22]) ).
thf(f25,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f15,f22,f18]) ).
thf(f31,definition,
( spl0_4
<=> ( cIND = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f33,plain,
( ( cIND = $true )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f31]) ).
thf(f35,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( cR @ Y0 @ Y1 ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f16]) ).
thf(f36,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cR @ Y0 @ ( cS @ c0 ) @ Y1 )
=> ( cR @ ( cS @ Y0 ) @ c0 @ Y1 ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( cR @ ( cS @ Y2 ) @ Y1 @ Y0 )
=> ( ( cR @ Y2 @ Y0 @ Y3 )
=> ( cR @ ( cS @ Y2 ) @ ( cS @ Y1 ) @ Y3 ) ) ) ) ) ) )
& cIND
& ( !! @ $i
@ ^ [Y0: $i] : ( cR @ c0 @ Y0 @ ( cS @ Y0 ) ) ) )
= $true ),
inference(imp_proxy_clausification,[],[f16]) ).
thf(f37,plain,
( ( !! @ $i
@ ^ [Y0: $i] : ( cR @ c0 @ Y0 @ ( cS @ Y0 ) ) )
= $true ),
inference(and_proxy_clausification,[],[f36]) ).
thf(f38,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cR @ Y0 @ ( cS @ c0 ) @ Y1 )
=> ( cR @ ( cS @ Y0 ) @ c0 @ Y1 ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( cR @ ( cS @ Y2 ) @ Y1 @ Y0 )
=> ( ( cR @ Y2 @ Y0 @ Y3 )
=> ( cR @ ( cS @ Y2 ) @ ( cS @ Y1 ) @ Y3 ) ) ) ) ) ) )
& cIND )
= $true ),
inference(and_proxy_clausification,[],[f36]) ).
thf(f39,plain,
cIND = $true,
inference(and_proxy_clausification,[],[f38]) ).
thf(f40,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cR @ Y0 @ ( cS @ c0 ) @ Y1 )
=> ( cR @ ( cS @ Y0 ) @ c0 @ Y1 ) ) ) )
& ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( cR @ ( cS @ Y2 ) @ Y1 @ Y0 )
=> ( ( cR @ Y2 @ Y0 @ Y3 )
=> ( cR @ ( cS @ Y2 ) @ ( cS @ Y1 ) @ Y3 ) ) ) ) ) ) ) )
= $true ),
inference(and_proxy_clausification,[],[f38]) ).
thf(f41,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( cR @ ( cS @ Y2 ) @ Y1 @ Y0 )
=> ( ( cR @ Y2 @ Y0 @ Y3 )
=> ( cR @ ( cS @ Y2 ) @ ( cS @ Y1 ) @ Y3 ) ) ) ) ) ) )
= $true ),
inference(and_proxy_clausification,[],[f40]) ).
thf(f42,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cR @ Y0 @ ( cS @ c0 ) @ Y1 )
=> ( cR @ ( cS @ Y0 ) @ c0 @ Y1 ) ) ) )
= $true ),
inference(and_proxy_clausification,[],[f40]) ).
thf(f43,plain,
spl0_4,
inference(avatar_split_clause,[],[f39,f31]) ).
thf(f44,plain,
( ( $false = $true )
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f33,f24]) ).
thf(f45,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f44]) ).
thf(f46,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f45]) ).
thf(f48,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : ( cR @ c0 @ Y0 @ ( cS @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f37]) ).
thf(f49,plain,
! [X1: $i] :
( ( cR @ c0 @ X1 @ ( cS @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f48]) ).
thf(f55,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cR @ Y0 @ ( cS @ c0 ) @ Y1 )
=> ( cR @ ( cS @ Y0 ) @ c0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f42]) ).
thf(f56,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( cR @ X1 @ ( cS @ c0 ) @ Y0 )
=> ( cR @ ( cS @ X1 ) @ c0 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f55]) ).
thf(f57,plain,
( ! [X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( ( ( Y0 @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) ) )
=> ( !! @ $i @ Y0 ) )
@ X1 )
= $true )
| ~ spl0_1 ),
inference(pi_proxy_clausification,[],[f20]) ).
thf(f58,plain,
( ! [X1: $i > $o] :
( ( ( ( X1 @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X1 @ ( cS @ Y0 ) ) ) ) )
=> ( !! @ $i @ X1 ) )
= $true )
| ~ spl0_1 ),
inference(beta-eta_normalization,[],[f57]) ).
thf(f59,plain,
( ! [X1: $i > $o] :
( ( ( ( X1 @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X1 @ ( cS @ Y0 ) ) ) ) )
= $false )
| ( ( !! @ $i @ X1 )
= $true ) )
| ~ spl0_1 ),
inference(imp_proxy_clausification,[],[f58]) ).
thf(f60,plain,
( ! [X1: $i > $o] :
( ( ( !! @ $i @ X1 )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X1 @ ( cS @ Y0 ) ) ) )
= $false )
| ( ( X1 @ c0 )
= $false ) )
| ~ spl0_1 ),
inference(and_proxy_clausification,[],[f59]) ).
thf(f62,plain,
( ( $false = $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] : ( ?? @ $i @ ( cR @ Y1 @ Y2 ) ) )
@ Y0 )
=> ( ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] : ( ?? @ $i @ ( cR @ Y1 @ Y2 ) ) )
@ ( cS @ Y0 ) ) ) )
= $false )
| ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( cR @ Y0 @ Y1 ) ) )
@ c0 ) )
| ~ spl0_1 ),
inference(superposition,[],[f60,f35]) ).
thf(f68,plain,
( ( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( cR @ Y0 @ Y1 ) ) )
@ c0 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] : ( ?? @ $i @ ( cR @ Y1 @ Y2 ) ) )
@ Y0 )
=> ( ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] : ( ?? @ $i @ ( cR @ Y1 @ Y2 ) ) )
@ ( cS @ Y0 ) ) ) )
= $false )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f62]) ).
thf(f69,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( cR @ c0 @ Y0 ) ) )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( cR @ Y0 @ Y1 ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( cR @ ( cS @ Y0 ) @ Y1 ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(beta-eta_normalization,[],[f68]) ).
thf(f75,definition,
( spl0_5
<=> ( ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( cR @ c0 @ Y0 ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f77,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( cR @ c0 @ Y0 ) ) )
= $false )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f75]) ).
thf(f79,definition,
( spl0_6
<=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( cR @ Y0 @ Y1 ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( cR @ ( cS @ Y0 ) @ Y1 ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f81,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( cR @ Y0 @ Y1 ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( cR @ ( cS @ Y0 ) @ Y1 ) ) ) ) )
= $false )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f79]) ).
thf(f83,plain,
( spl0_6
| spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f69,f18,f75,f79]) ).
thf(f101,plain,
( ( ( ^ [Y0: $i] : ( ?? @ $i @ ( cR @ c0 @ Y0 ) )
@ sK4 )
= $false )
| ~ spl0_5 ),
inference(sigma_proxy_clausification,[],[f77]) ).
thf(f104,plain,
( ( ( ?? @ $i @ ( cR @ c0 @ sK4 ) )
= $false )
| ~ spl0_5 ),
inference(beta-eta_normalization,[],[f101]) ).
thf(f119,plain,
( ! [X1: $i] :
( ( cR @ c0 @ sK4 @ X1 )
= $false )
| ~ spl0_5 ),
inference(pi_proxy_clausification,[],[f104]) ).
thf(f121,plain,
( ( $false = $true )
| ~ spl0_5 ),
inference(superposition,[],[f49,f119]) ).
thf(f124,plain,
( $false
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f121]) ).
thf(f125,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f124]) ).
thf(f130,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( cR @ X1 @ ( cS @ c0 ) @ Y0 )
=> ( cR @ ( cS @ X1 ) @ c0 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f56]) ).
thf(f131,plain,
! [X2: $i,X1: $i] :
( ( ( cR @ X1 @ ( cS @ c0 ) @ X2 )
=> ( cR @ ( cS @ X1 ) @ c0 @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f130]) ).
thf(f132,plain,
! [X2: $i,X1: $i] :
( ( ( cR @ ( cS @ X1 ) @ c0 @ X2 )
= $true )
| ( ( cR @ X1 @ ( cS @ c0 ) @ X2 )
= $false ) ),
inference(imp_proxy_clausification,[],[f131]) ).
thf(f164,plain,
( ( ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( cR @ Y0 @ Y1 ) ) )
=> ( !! @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( cR @ ( cS @ Y0 ) @ Y1 ) ) ) )
@ sK8 )
= $false )
| ~ spl0_6 ),
inference(sigma_proxy_clausification,[],[f81]) ).
thf(f171,plain,
( ( ( ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( cR @ sK8 @ Y0 ) ) )
=> ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ Y0 ) ) ) )
= $false )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f164]) ).
thf(f176,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ Y0 ) ) ) )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f171]) ).
thf(f177,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( cR @ sK8 @ Y0 ) ) )
= $true )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f171]) ).
thf(f195,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] : ( ?? @ $i @ ( cR @ sK8 @ Y0 ) )
@ X1 )
= $true )
| ~ spl0_6 ),
inference(pi_proxy_clausification,[],[f177]) ).
thf(f196,plain,
( ! [X1: $i] :
( ( ?? @ $i @ ( cR @ sK8 @ X1 ) )
= $true )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f195]) ).
thf(f197,plain,
( ! [X1: $i] :
( ( cR @ sK8 @ X1 @ ( sK9 @ X1 ) )
= $true )
| ~ spl0_6 ),
inference(sigma_proxy_clausification,[],[f196]) ).
thf(f200,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ^ [Y1: $i] : ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ Y1 ) )
@ Y0 )
=> ( ^ [Y1: $i] : ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ Y1 ) )
@ ( cS @ Y0 ) ) ) )
= $false )
| ( $false = $true )
| ( ( ^ [Y0: $i] : ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ Y0 ) )
@ c0 )
= $false )
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f60,f176]) ).
thf(f204,plain,
( ( ( ^ [Y0: $i] : ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ Y0 ) )
@ c0 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ^ [Y1: $i] : ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ Y1 ) )
@ Y0 )
=> ( ^ [Y1: $i] : ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ Y1 ) )
@ ( cS @ Y0 ) ) ) )
= $false )
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f200]) ).
thf(f205,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ Y0 ) )
=> ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ ( cS @ Y0 ) ) ) ) )
= $false )
| ( $false
= ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ c0 ) ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f204]) ).
thf(f207,definition,
( spl0_17
<=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ Y0 ) )
=> ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ ( cS @ Y0 ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f209,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ Y0 ) )
=> ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ ( cS @ Y0 ) ) ) ) )
= $false )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f207]) ).
thf(f211,definition,
( spl0_18
<=> ( $false
= ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ c0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f213,plain,
( ( $false
= ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ c0 ) ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f211]) ).
thf(f215,plain,
( spl0_17
| spl0_18
| ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f205,f79,f18,f211,f207]) ).
thf(f255,plain,
( ( ( ^ [Y0: $i] :
( ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ Y0 ) )
=> ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ ( cS @ Y0 ) ) ) )
@ sK12 )
= $false )
| ~ spl0_17 ),
inference(sigma_proxy_clausification,[],[f209]) ).
thf(f260,plain,
( ( ( ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ sK12 ) )
=> ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ ( cS @ sK12 ) ) ) )
= $false )
| ~ spl0_17 ),
inference(beta-eta_normalization,[],[f255]) ).
thf(f265,plain,
( ( ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ ( cS @ sK12 ) ) )
= $false )
| ~ spl0_17 ),
inference(imp_proxy_clausification,[],[f260]) ).
thf(f266,plain,
( ( ( ?? @ $i @ ( cR @ ( cS @ sK8 ) @ sK12 ) )
= $true )
| ~ spl0_17 ),
inference(imp_proxy_clausification,[],[f260]) ).
thf(f285,plain,
( ! [X1: $i] :
( ( cR @ ( cS @ sK8 ) @ c0 @ X1 )
= $false )
| ~ spl0_18 ),
inference(pi_proxy_clausification,[],[f213]) ).
thf(f287,plain,
( ! [X0: $i] :
( ( $false = $true )
| ( $false
= ( cR @ sK8 @ ( cS @ c0 ) @ X0 ) ) )
| ~ spl0_18 ),
inference(superposition,[],[f132,f285]) ).
thf(f288,plain,
( ! [X0: $i] :
( $false
= ( cR @ sK8 @ ( cS @ c0 ) @ X0 ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f287]) ).
thf(f295,plain,
( ( $false = $true )
| ~ spl0_6
| ~ spl0_18 ),
inference(superposition,[],[f197,f288]) ).
thf(f298,plain,
( $false
| ~ spl0_6
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f295]) ).
thf(f299,plain,
( ~ spl0_6
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f298]) ).
thf(f318,plain,
( ( ( cR @ ( cS @ sK8 ) @ sK12 @ sK14 )
= $true )
| ~ spl0_17 ),
inference(sigma_proxy_clausification,[],[f266]) ).
thf(f319,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( cR @ ( cS @ Y2 ) @ Y1 @ Y0 )
=> ( ( cR @ Y2 @ Y0 @ Y3 )
=> ( cR @ ( cS @ Y2 ) @ ( cS @ Y1 ) @ Y3 ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f41]) ).
thf(f320,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( cR @ ( cS @ Y1 ) @ Y0 @ X1 )
=> ( ( cR @ Y1 @ X1 @ Y2 )
=> ( cR @ ( cS @ Y1 ) @ ( cS @ Y0 ) @ Y2 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f319]) ).
thf(f321,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( cR @ ( cS @ Y1 ) @ Y0 @ X1 )
=> ( ( cR @ Y1 @ X1 @ Y2 )
=> ( cR @ ( cS @ Y1 ) @ ( cS @ Y0 ) @ Y2 ) ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f320]) ).
thf(f322,plain,
! [X2: $i,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cR @ ( cS @ Y0 ) @ X2 @ X1 )
=> ( ( cR @ Y0 @ X1 @ Y1 )
=> ( cR @ ( cS @ Y0 ) @ ( cS @ X2 ) @ Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f321]) ).
thf(f323,plain,
( ! [X1: $i] :
( ( cR @ ( cS @ sK8 ) @ ( cS @ sK12 ) @ X1 )
= $false )
| ~ spl0_17 ),
inference(pi_proxy_clausification,[],[f265]) ).
thf(f324,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cR @ ( cS @ Y0 ) @ X2 @ X1 )
=> ( ( cR @ Y0 @ X1 @ Y1 )
=> ( cR @ ( cS @ Y0 ) @ ( cS @ X2 ) @ Y1 ) ) ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f322]) ).
thf(f325,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( cR @ ( cS @ X3 ) @ X2 @ X1 )
=> ( ( cR @ X3 @ X1 @ Y0 )
=> ( cR @ ( cS @ X3 ) @ ( cS @ X2 ) @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f324]) ).
thf(f326,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ^ [Y0: $i] :
( ( cR @ ( cS @ X3 ) @ X2 @ X1 )
=> ( ( cR @ X3 @ X1 @ Y0 )
=> ( cR @ ( cS @ X3 ) @ ( cS @ X2 ) @ Y0 ) ) )
@ X4 )
= $true ),
inference(pi_proxy_clausification,[],[f325]) ).
thf(f327,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( $true
= ( ( cR @ ( cS @ X3 ) @ X2 @ X1 )
=> ( ( cR @ X3 @ X1 @ X4 )
=> ( cR @ ( cS @ X3 ) @ ( cS @ X2 ) @ X4 ) ) ) ),
inference(beta-eta_normalization,[],[f326]) ).
thf(f328,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( cR @ ( cS @ X3 ) @ X2 @ X1 ) )
| ( ( ( cR @ X3 @ X1 @ X4 )
=> ( cR @ ( cS @ X3 ) @ ( cS @ X2 ) @ X4 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f327]) ).
thf(f329,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( cR @ ( cS @ X3 ) @ ( cS @ X2 ) @ X4 )
= $true )
| ( $false
= ( cR @ ( cS @ X3 ) @ X2 @ X1 ) )
| ( $false
= ( cR @ X3 @ X1 @ X4 ) ) ),
inference(imp_proxy_clausification,[],[f328]) ).
thf(f334,plain,
( ! [X0: $i,X1: $i] :
( ( $false = $true )
| ( $false
= ( cR @ sK8 @ X1 @ X0 ) )
| ( ( cR @ ( cS @ sK8 ) @ sK12 @ X1 )
= $false ) )
| ~ spl0_17 ),
inference(superposition,[],[f323,f329]) ).
thf(f339,plain,
( ! [X0: $i,X1: $i] :
( ( ( cR @ ( cS @ sK8 ) @ sK12 @ X1 )
= $false )
| ( $false
= ( cR @ sK8 @ X1 @ X0 ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f334]) ).
thf(f390,plain,
( ! [X0: $i] :
( ( $false = $true )
| ( ( cR @ sK8 @ sK14 @ X0 )
= $false ) )
| ~ spl0_17 ),
inference(superposition,[],[f318,f339]) ).
thf(f391,plain,
( ! [X0: $i] :
( ( cR @ sK8 @ sK14 @ X0 )
= $false )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f390]) ).
thf(f401,plain,
( ( $false = $true )
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f391,f197]) ).
thf(f405,plain,
( $false
| ~ spl0_6
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f401]) ).
thf(f406,plain,
( ~ spl0_6
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f405]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f25]) ).
cnf(s3,plain,
spl0_4,
inference(sat_conversion,[],[f43]) ).
cnf(s4,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f46]) ).
cnf(s6,plain,
( ~ spl0_1
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f83]) ).
cnf(s12,plain,
~ spl0_5,
inference(sat_conversion,[],[f125]) ).
cnf(s22,plain,
( ~ spl0_1
| ~ spl0_6
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f215]) ).
cnf(s29,plain,
( ~ spl0_6
| ~ spl0_18 ),
inference(sat_conversion,[],[f299]) ).
cnf(s37,plain,
( ~ spl0_6
| ~ spl0_17 ),
inference(sat_conversion,[],[f406]) ).
cnf(s39,plain,
( ~ spl0_1
| spl0_6 ),
inference(rat,[],[s6,s12]) ).
cnf(s41,plain,
~ spl0_2,
inference(rat,[],[s4,s3]) ).
cnf(s42,plain,
spl0_1,
inference(rat,[],[s1,s41]) ).
cnf(s43,plain,
spl0_6,
inference(rat,[],[s39,s42]) ).
cnf(s44,plain,
~ spl0_17,
inference(rat,[],[s37,s43]) ).
cnf(s45,plain,
~ spl0_18,
inference(rat,[],[s29,s43]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s22,s45,s42,s44,s43]) ).
thf(f407,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM832^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 % Computer : n008.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Tue Sep 29 13:04:40 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.31 Running higher-order theorem proving
% 0.25/0.32 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
% 0.33/0.51 % (3116679)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.33/0.51 % (3116691)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=985462833:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.33/0.51 % (3116692)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.33/0.51 % (3116692)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
% 0.33/0.51 % (3116688)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1971917947:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.33/0.51 % (3116687)lrs+10_16_si=on:nwc=1.5:random_seed=3926119746:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.33/0.51 % (3116686)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4191280416:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.33/0.51 % (3116689)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=2936703454: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)
% 0.33/0.51 % (3116690)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1175308119:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.33/0.51 % (3116692)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=3498901454:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.33/0.51 % (3116688)Instruction limit reached!
% 0.33/0.51 % (3116688)------------------------------
% 0.33/0.51 % (3116688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.51 % (3116688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.51 % (3116688)CaDiCaL version: 2.1.3
% 0.33/0.51 % (3116688)Termination reason: Instruction limit
% 0.33/0.51 % (3116688)Termination phase: Saturation
% 0.33/0.51 % (3116688)Time elapsed: 0.004 s
% 0.33/0.51 % (3116688)Peak memory usage: 12 MB
% 0.33/0.51 % (3116688)Instructions burned: 3 (million)
% 0.33/0.51 % (3116687)Instruction limit reached!
% 0.33/0.51 % (3116687)------------------------------
% 0.33/0.51 % (3116687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.51 % (3116687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.51 % (3116687)CaDiCaL version: 2.1.3
% 0.33/0.51 % (3116687)Termination reason: Instruction limit
% 0.33/0.51 % (3116687)Termination phase: Saturation
% 0.33/0.51 % (3116687)Time elapsed: 0.017 s
% 0.33/0.51 % (3116687)Peak memory usage: 12 MB
% 0.33/0.51 % (3116687)Instructions burned: 18 (million)
% 0.33/0.51 % (3116690)Instruction limit reached!
% 0.33/0.51 % (3116690)------------------------------
% 0.33/0.51 % (3116690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.51 % (3116690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.51 % (3116690)CaDiCaL version: 2.1.3
% 0.33/0.51 % (3116690)Termination reason: Instruction limit
% 0.33/0.51 % (3116690)Termination phase: Saturation
% 0.33/0.51 % (3116690)Time elapsed: 0.022 s
% 0.33/0.51 % (3116690)Peak memory usage: 12 MB
% 0.33/0.51 % (3116690)Instructions burned: 24 (million)
% 0.33/0.51 % (3116691)Instruction limit reached!
% 0.33/0.51 % (3116691)------------------------------
% 0.33/0.51 % (3116691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.51 % (3116691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.51 % (3116691)CaDiCaL version: 2.1.3
% 0.33/0.51 % (3116691)Termination reason: Instruction limit
% 0.33/0.51 % (3116691)Termination phase: Saturation
% 0.33/0.51 % (3116691)Time elapsed: 0.036 s
% 0.33/0.51 % (3116691)Peak memory usage: 12 MB
% 0.33/0.51 % (3116691)Instructions burned: 77 (million)
% 0.33/0.51 % (3116705)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1164151567:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.33/0.51 % (3116702)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=352708342:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.43/0.58 % (3116702)Instruction limit reached!
% 1.43/0.58 % (3116702)------------------------------
% 1.43/0.58 % (3116702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.58 % (3116702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.58 % (3116702)CaDiCaL version: 2.1.3
% 1.43/0.58 % (3116702)Termination reason: Instruction limit
% 1.43/0.58 % (3116702)Termination phase: Saturation
% 1.43/0.58 % (3116702)Time elapsed: 0.003 s
% 1.43/0.58 % (3116702)Peak memory usage: 12 MB
% 1.43/0.58 % (3116702)Instructions burned: 2 (million)
% 1.43/0.58 % (3116705)Instruction limit reached!
% 1.43/0.58 % (3116705)------------------------------
% 1.43/0.58 % (3116705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.58 % (3116705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.58 % (3116705)CaDiCaL version: 2.1.3
% 1.43/0.58 % (3116705)Termination reason: Instruction limit
% 1.43/0.58 % (3116705)Termination phase: Saturation
% 1.43/0.58 % (3116705)Time elapsed: 0.004 s
% 1.43/0.58 % (3116705)Peak memory usage: 12 MB
% 1.43/0.58 % (3116705)Instructions burned: 6 (million)
% 1.43/0.58 % (3116706)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.43/0.58 % (3116707)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4108464203:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.43/0.58 % (3116706)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=13130081:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.43/0.58 % (3116710)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
% 1.43/0.58 % (3116710)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.43/0.58 % (3116710)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=581657695:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.43/0.58 % (3116706)Instruction limit reached!
% 1.43/0.58 % (3116706)------------------------------
% 1.43/0.58 % (3116706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.58 % (3116706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.58 % (3116706)CaDiCaL version: 2.1.3
% 1.43/0.58 % (3116706)Termination reason: Instruction limit
% 1.43/0.58 % (3116706)Termination phase: Saturation
% 1.43/0.58 % (3116706)Time elapsed: 0.007 s
% 1.43/0.58 % (3116706)Peak memory usage: 12 MB
% 1.43/0.58 % (3116706)Instructions burned: 8 (million)
% 1.43/0.58 % (3116707)Instruction limit reached!
% 1.43/0.58 % (3116707)------------------------------
% 1.43/0.58 % (3116707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.58 % (3116707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.58 % (3116707)CaDiCaL version: 2.1.3
% 1.43/0.58 % (3116707)Termination reason: Instruction limit
% 1.43/0.58 % (3116707)Termination phase: Saturation
% 1.43/0.58 % (3116707)Time elapsed: 0.012 s
% 1.43/0.58 % (3116707)Peak memory usage: 12 MB
% 1.43/0.58 % (3116707)Instructions burned: 12 (million)
% 1.43/0.58 % (3116711)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=2091044880:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.43/0.58 % (3116710)Instruction limit reached!
% 1.43/0.58 % (3116710)------------------------------
% 1.43/0.58 % (3116710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.43/0.58 % (3116710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.43/0.58 % (3116710)CaDiCaL version: 2.1.3
% 1.43/0.58 % (3116710)Termination reason: Instruction limit
% 1.43/0.58 % (3116710)Termination phase: Saturation
% 1.43/0.58 % (3116710)Time elapsed: 0.013 s
% 1.43/0.58 % (3116710)Peak memory usage: 12 MB
% 1.43/0.58 % (3116710)Instructions burned: 28 (million)
% 1.43/0.58 % (3116686)Instruction limit reached!
% 1.43/0.58 % (3116686)------------------------------
% 1.43/0.58 % (3116686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.63 % (3116686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.63 % (3116686)CaDiCaL version: 2.1.3
% 2.09/0.63 % (3116686)Termination reason: Instruction limit
% 2.09/0.63 % (3116686)Termination phase: Saturation
% 2.09/0.63 % (3116686)Time elapsed: 0.078 s
% 2.09/0.63 % (3116686)Peak memory usage: 12 MB
% 2.09/0.63 % (3116686)Instructions burned: 88 (million)
% 2.09/0.63 % (3116723)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3907818727:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 2.09/0.63 % (3116721)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 2.09/0.63 % (3116719)lrs+10_1_si=on:cs=on:random_seed=508618714:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 2.09/0.63 % (3116721)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=516700361:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.09/0.63 % (3116719)Instruction limit reached!
% 2.09/0.63 % (3116719)------------------------------
% 2.09/0.63 % (3116719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.63 % (3116719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.63 % (3116719)CaDiCaL version: 2.1.3
% 2.09/0.63 % (3116719)Termination reason: Instruction limit
% 2.09/0.63 % (3116719)Termination phase: Saturation
% 2.09/0.63 % (3116719)Time elapsed: 0.007 s
% 2.09/0.63 % (3116719)Peak memory usage: 11 MB
% 2.09/0.63 % (3116719)Instructions burned: 8 (million)
% 2.09/0.63 % (3116721)Instruction limit reached!
% 2.09/0.63 % (3116721)------------------------------
% 2.09/0.63 % (3116721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.63 % (3116721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.63 % (3116721)CaDiCaL version: 2.1.3
% 2.09/0.63 % (3116721)Termination reason: Instruction limit
% 2.09/0.63 % (3116721)Termination phase: Saturation
% 2.09/0.63 % (3116721)Time elapsed: 0.002 s
% 2.09/0.63 % (3116721)Peak memory usage: 11 MB
% 2.09/0.63 % (3116721)Instructions burned: 2 (million)
% 2.09/0.63 % (3116725)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4287333996:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 2.09/0.63 % (3116723)Instruction limit reached!
% 2.09/0.63 % (3116723)------------------------------
% 2.09/0.63 % (3116723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.63 % (3116723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.63 % (3116723)CaDiCaL version: 2.1.3
% 2.09/0.63 % (3116723)Termination reason: Instruction limit
% 2.09/0.63 % (3116723)Termination phase: Saturation
% 2.09/0.63 % (3116723)Time elapsed: 0.024 s
% 2.09/0.63 % (3116723)Peak memory usage: 12 MB
% 2.09/0.63 % (3116723)Instructions burned: 39 (million)
% 2.09/0.63 % (3116730)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4135995099:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 2.09/0.63 % (3116731)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=106070915:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.09/0.63 % (3116730)Instruction limit reached!
% 2.09/0.63 % (3116730)------------------------------
% 2.09/0.63 % (3116730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.63 % (3116730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.09/0.63 % (3116730)CaDiCaL version: 2.1.3
% 2.09/0.63 % (3116730)Termination reason: Instruction limit
% 2.09/0.63 % (3116730)Termination phase: Saturation
% 2.09/0.63 % (3116730)Time elapsed: 0.013 s
% 2.09/0.63 % (3116730)Peak memory usage: 12 MB
% 2.09/0.63 % (3116730)Instructions burned: 26 (million)
% 2.09/0.63 % (3116692)Instruction limit reached!
% 2.09/0.63 % (3116692)------------------------------
% 2.09/0.63 % (3116692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.09/0.63 % (3116734)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3071184601:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.09/0.63 % (3116692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.73 % (3116692)CaDiCaL version: 2.1.3
% 2.51/0.73 % (3116692)Termination reason: Instruction limit
% 2.51/0.73 % (3116692)Termination phase: Saturation
% 2.51/0.73 % (3116692)Time elapsed: 0.140 s
% 2.51/0.73 % (3116692)Peak memory usage: 12 MB
% 2.51/0.73 % (3116692)Instructions burned: 159 (million)
% 2.51/0.73 % (3116731)Instruction limit reached!
% 2.51/0.73 % (3116731)------------------------------
% 2.51/0.73 % (3116731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.73 % (3116731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.73 % (3116731)CaDiCaL version: 2.1.3
% 2.51/0.73 % (3116731)Termination reason: Instruction limit
% 2.51/0.73 % (3116731)Termination phase: Saturation
% 2.51/0.73 % (3116731)Time elapsed: 0.015 s
% 2.51/0.73 % (3116731)Peak memory usage: 12 MB
% 2.51/0.73 % (3116731)Instructions burned: 14 (million)
% 2.51/0.73 % (3116737)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2557817411:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.51/0.73 % (3116711)Instruction limit reached!
% 2.51/0.73 % (3116711)------------------------------
% 2.51/0.73 % (3116711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.73 % (3116711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.73 % (3116711)CaDiCaL version: 2.1.3
% 2.51/0.73 % (3116711)Termination reason: Instruction limit
% 2.51/0.73 % (3116711)Termination phase: Saturation
% 2.51/0.73 % (3116711)Time elapsed: 0.090 s
% 2.51/0.73 % (3116711)Peak memory usage: 12 MB
% 2.51/0.73 % (3116711)Instructions burned: 87 (million)
% 2.51/0.73 % (3116737)Instruction limit reached!
% 2.51/0.73 % (3116737)------------------------------
% 2.51/0.73 % (3116737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.73 % (3116737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.73 % (3116737)CaDiCaL version: 2.1.3
% 2.51/0.73 % (3116737)Termination reason: Instruction limit
% 2.51/0.73 % (3116737)Termination phase: Saturation
% 2.51/0.73 % (3116737)Time elapsed: 0.007 s
% 2.51/0.73 % (3116737)Peak memory usage: 12 MB
% 2.51/0.73 % (3116737)Instructions burned: 15 (million)
% 2.51/0.73 % (3116739)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2025727006: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)
% 2.51/0.73 % (3116739)Instruction limit reached!
% 2.51/0.73 % (3116739)------------------------------
% 2.51/0.73 % (3116739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.73 % (3116739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.73 % (3116739)CaDiCaL version: 2.1.3
% 2.51/0.73 % (3116739)Termination reason: Instruction limit
% 2.51/0.73 % (3116739)Termination phase: Saturation
% 2.51/0.73 % (3116739)Time elapsed: 0.003 s
% 2.51/0.73 % (3116739)Peak memory usage: 11 MB
% 2.51/0.73 % (3116739)Instructions burned: 2 (million)
% 2.51/0.73 % (3116744)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=838231931:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.51/0.73 % (3116741)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3609160592:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.51/0.73 % (3116743)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2776567858:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.51/0.73 % (3116744)Instruction limit reached!
% 2.51/0.73 % (3116744)------------------------------
% 2.51/0.73 % (3116744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.73 % (3116744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.73 % (3116744)CaDiCaL version: 2.1.3
% 2.51/0.73 % (3116744)Termination reason: Instruction limit
% 2.51/0.73 % (3116744)Termination phase: Saturation
% 2.51/0.73 % (3116744)Time elapsed: 0.024 s
% 2.51/0.73 % (3116744)Peak memory usage: 12 MB
% 2.51/0.73 % (3116744)Instructions burned: 61 (million)
% 2.51/0.73 % (3116747)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 2.51/0.73 % (3116747)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.98/0.85 % (3116741)Instruction limit reached!
% 2.98/0.85 % (3116741)------------------------------
% 2.98/0.85 % (3116741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.85 % (3116741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.85 % (3116741)CaDiCaL version: 2.1.3
% 2.98/0.85 % (3116741)Termination reason: Instruction limit
% 2.98/0.85 % (3116741)Termination phase: Saturation
% 2.98/0.85 % (3116741)Time elapsed: 0.025 s
% 2.98/0.85 % (3116741)Peak memory usage: 12 MB
% 2.98/0.85 % (3116741)Instructions burned: 26 (million)
% 2.98/0.85 % (3116747)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3767751532:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.98/0.85 % (3116753)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.98/0.85 % (3116743)Instruction limit reached!
% 2.98/0.85 % (3116743)------------------------------
% 2.98/0.85 % (3116743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.85 % (3116743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.85 % (3116743)CaDiCaL version: 2.1.3
% 2.98/0.85 % (3116743)Termination reason: Instruction limit
% 2.98/0.85 % (3116743)Termination phase: Saturation
% 2.98/0.85 % (3116743)Time elapsed: 0.023 s
% 2.98/0.85 % (3116743)Peak memory usage: 11 MB
% 2.98/0.85 % (3116743)Instructions burned: 23 (million)
% 2.98/0.85 % (3116753)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=2041507604:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.98/0.85 % (3116753)Instruction limit reached!
% 2.98/0.85 % (3116753)------------------------------
% 2.98/0.85 % (3116753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.85 % (3116753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.85 % (3116753)CaDiCaL version: 2.1.3
% 2.98/0.85 % (3116753)Termination reason: Instruction limit
% 2.98/0.85 % (3116753)Termination phase: Saturation
% 2.98/0.85 % (3116753)Time elapsed: 0.003 s
% 2.98/0.85 % (3116753)Peak memory usage: 12 MB
% 2.98/0.85 % (3116753)Instructions burned: 8 (million)
% 2.98/0.85 % (3116747)Instruction limit reached!
% 2.98/0.85 % (3116747)------------------------------
% 2.98/0.85 % (3116747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.85 % (3116747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.85 % (3116747)CaDiCaL version: 2.1.3
% 2.98/0.85 % (3116747)Termination reason: Instruction limit
% 2.98/0.85 % (3116747)Termination phase: Saturation
% 2.98/0.85 % (3116747)Time elapsed: 0.014 s
% 2.98/0.85 % (3116747)Peak memory usage: 12 MB
% 2.98/0.85 % (3116747)Instructions burned: 14 (million)
% 2.98/0.85 % (3116758)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2648342461:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.98/0.85 % (3116758)Instruction limit reached!
% 2.98/0.85 % (3116758)------------------------------
% 2.98/0.85 % (3116758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.85 % (3116758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.85 % (3116758)CaDiCaL version: 2.1.3
% 2.98/0.85 % (3116758)Termination reason: Instruction limit
% 2.98/0.85 % (3116758)Termination phase: Saturation
% 2.98/0.85 % (3116758)Time elapsed: 0.006 s
% 2.98/0.85 % (3116758)Peak memory usage: 11 MB
% 2.98/0.85 % (3116758)Instructions burned: 27 (million)
% 2.98/0.85 % (3116754)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=2592868397:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.98/0.85 % (3116757)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=607686880:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.98/0.85 % (3116765)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1772697682:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.98/0.85 % (3116757)Instruction limit reached!
% 2.98/0.85 % (3116757)------------------------------
% 2.98/0.85 % (3116757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.92 % (3116757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.92 % (3116757)CaDiCaL version: 2.1.3
% 3.54/0.92 % (3116757)Termination reason: Instruction limit
% 3.54/0.92 % (3116757)Termination phase: Saturation
% 3.54/0.92 % (3116757)Time elapsed: 0.008 s
% 3.54/0.92 % (3116757)Peak memory usage: 12 MB
% 3.54/0.92 % (3116757)Instructions burned: 8 (million)
% 3.54/0.92 % (3116760)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3555766564:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 3.54/0.92 % (3116754)Instruction limit reached!
% 3.54/0.92 % (3116754)------------------------------
% 3.54/0.92 % (3116754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.92 % (3116754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.92 % (3116754)CaDiCaL version: 2.1.3
% 3.54/0.92 % (3116754)Termination reason: Instruction limit
% 3.54/0.92 % (3116754)Termination phase: Saturation
% 3.54/0.92 % (3116754)Time elapsed: 0.028 s
% 3.54/0.92 % (3116754)Peak memory usage: 12 MB
% 3.54/0.92 % (3116754)Instructions burned: 31 (million)
% 3.54/0.92 % (3116760)Instruction limit reached!
% 3.54/0.92 % (3116760)------------------------------
% 3.54/0.92 % (3116760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.92 % (3116760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.92 % (3116760)CaDiCaL version: 2.1.3
% 3.54/0.92 % (3116760)Termination reason: Instruction limit
% 3.54/0.92 % (3116760)Termination phase: Saturation
% 3.54/0.92 % (3116760)Time elapsed: 0.019 s
% 3.54/0.92 % (3116760)Peak memory usage: 12 MB
% 3.54/0.92 % (3116760)Instructions burned: 20 (million)
% 3.54/0.92 % (3116770)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1083996080:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 3.54/0.92 % (3116774)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3646526232:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 3.54/0.92 % (3116775)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3931042004:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 3.54/0.92 % (3116725)Instruction limit reached!
% 3.54/0.92 % (3116725)------------------------------
% 3.54/0.92 % (3116725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.92 % (3116725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.92 % (3116725)CaDiCaL version: 2.1.3
% 3.54/0.92 % (3116725)Termination reason: Instruction limit
% 3.54/0.92 % (3116725)Termination phase: Saturation
% 3.54/0.92 % (3116725)Time elapsed: 0.211 s
% 3.54/0.92 % (3116725)Peak memory usage: 13 MB
% 3.54/0.92 % (3116725)Instructions burned: 250 (million)
% 3.54/0.92 % (3116782)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 3.54/0.92 % (3116775)Instruction limit reached!
% 3.54/0.92 % (3116775)------------------------------
% 3.54/0.92 % (3116775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.92 % (3116775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.92 % (3116775)CaDiCaL version: 2.1.3
% 3.54/0.92 % (3116775)Termination reason: Instruction limit
% 3.54/0.92 % (3116775)Termination phase: Saturation
% 3.54/0.92 % (3116775)Time elapsed: 0.038 s
% 3.54/0.92 % (3116775)Peak memory usage: 12 MB
% 3.54/0.92 % (3116775)Instructions burned: 42 (million)
% 3.54/0.92 % (3116782)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1178076380:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 3.54/0.92 % (3116734)Instruction limit reached!
% 3.54/0.92 % (3116734)------------------------------
% 3.54/0.92 % (3116734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.92 % (3116734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.92 % (3116734)CaDiCaL version: 2.1.3
% 3.54/0.92 % (3116734)Termination reason: Instruction limit
% 3.54/0.92 % (3116734)Termination phase: Saturation
% 3.54/0.92 % (3116734)Time elapsed: 0.219 s
% 3.54/0.92 % (3116734)Peak memory usage: 13 MB
% 3.54/0.92 % (3116734)Instructions burned: 329 (million)
% 3.54/0.92 % (3116782)Instruction limit reached!
% 3.54/0.92 % (3116782)------------------------------
% 3.54/0.92 % (3116782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.10 % (3116782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.10 % (3116782)CaDiCaL version: 2.1.3
% 5.22/1.10 % (3116782)Termination reason: Instruction limit
% 5.22/1.10 % (3116782)Termination phase: Saturation
% 5.22/1.10 % (3116782)Time elapsed: 0.007 s
% 5.22/1.10 % (3116782)Peak memory usage: 12 MB
% 5.22/1.10 % (3116782)Instructions burned: 7 (million)
% 5.22/1.10 % (3116785)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1261284987:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 5.22/1.10 % (3116784)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=661724673:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 5.22/1.10 % (3116786)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 5.22/1.10 % (3116786)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1976538223:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 5.22/1.10 % (3116786)Instruction limit reached!
% 5.22/1.10 % (3116786)------------------------------
% 5.22/1.10 % (3116786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.10 % (3116786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.10 % (3116786)CaDiCaL version: 2.1.3
% 5.22/1.10 % (3116786)Termination reason: Instruction limit
% 5.22/1.10 % (3116786)Termination phase: Saturation
% 5.22/1.10 % (3116786)Time elapsed: 0.006 s
% 5.22/1.10 % (3116786)Peak memory usage: 12 MB
% 5.22/1.10 % (3116786)Instructions burned: 6 (million)
% 5.22/1.10 % (3116770)Instruction limit reached!
% 5.22/1.10 % (3116770)------------------------------
% 5.22/1.10 % (3116770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.10 % (3116770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.10 % (3116770)CaDiCaL version: 2.1.3
% 5.22/1.10 % (3116770)Termination reason: Instruction limit
% 5.22/1.10 % (3116770)Termination phase: Saturation
% 5.22/1.10 % (3116770)Time elapsed: 0.129 s
% 5.22/1.10 % (3116770)Peak memory usage: 13 MB
% 5.22/1.10 % (3116770)Instructions burned: 144 (million)
% 5.22/1.10 % (3116792)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1266004118:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 5.22/1.10 % (3116794)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1556002548:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 5.22/1.10 % (3116792)Instruction limit reached!
% 5.22/1.10 % (3116792)------------------------------
% 5.22/1.10 % (3116792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.10 % (3116792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.10 % (3116792)CaDiCaL version: 2.1.3
% 5.22/1.10 % (3116792)Termination reason: Instruction limit
% 5.22/1.10 % (3116792)Termination phase: Saturation
% 5.22/1.10 % (3116792)Time elapsed: 0.021 s
% 5.22/1.10 % (3116792)Peak memory usage: 12 MB
% 5.22/1.10 % (3116792)Instructions burned: 22 (million)
% 5.22/1.10 % (3116794)Instruction limit reached!
% 5.22/1.10 % (3116794)------------------------------
% 5.22/1.10 % (3116794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.10 % (3116794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.10 % (3116794)CaDiCaL version: 2.1.3
% 5.22/1.10 % (3116794)Termination reason: Instruction limit
% 5.22/1.10 % (3116794)Termination phase: Saturation
% 5.22/1.10 % (3116794)Time elapsed: 0.019 s
% 5.22/1.10 % (3116794)Peak memory usage: 13 MB
% 5.22/1.10 % (3116794)Instructions burned: 19 (million)
% 5.22/1.10 % (3116785)Instruction limit reached!
% 5.22/1.10 % (3116785)------------------------------
% 5.22/1.10 % (3116785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.22/1.10 % (3116785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.10 % (3116785)CaDiCaL version: 2.1.3
% 5.22/1.10 % (3116774)Instruction limit reached!
% 5.22/1.10 % (3116774)------------------------------
% 5.22/1.10 % (3116774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.09/1.24 % (3116774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.24 % (3116774)CaDiCaL version: 2.1.3
% 6.09/1.24 % (3116774)Termination reason: Instruction limit
% 6.09/1.24 % (3116774)Termination phase: Saturation
% 6.09/1.24 % (3116774)Time elapsed: 0.171 s
% 6.09/1.24 % (3116774)Peak memory usage: 13 MB
% 6.09/1.24 % (3116774)Instructions burned: 194 (million)
% 6.09/1.24 % (3116785)Termination reason: Instruction limit
% 6.09/1.24 % (3116785)Termination phase: Saturation
% 6.09/1.24 % (3116785)Time elapsed: 0.096 s
% 6.09/1.24 % (3116785)Peak memory usage: 13 MB
% 6.09/1.24 % (3116785)Instructions burned: 173 (million)
% 6.09/1.24 % (3116798)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=110306183:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 6.09/1.24 % (3116689)Instruction limit reached!
% 6.09/1.24 % (3116689)------------------------------
% 6.09/1.24 % (3116689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.09/1.24 % (3116689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.24 % (3116689)CaDiCaL version: 2.1.3
% 6.09/1.24 % (3116689)Termination reason: Instruction limit
% 6.09/1.24 % (3116689)Termination phase: Saturation
% 6.09/1.24 % (3116689)Time elapsed: 0.494 s
% 6.09/1.24 % (3116689)Peak memory usage: 14 MB
% 6.09/1.24 % (3116689)Instructions burned: 635 (million)
% 6.09/1.24 % (3116801)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=1011438776:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2994 on theBenchmark for (2994ds/45Mi)
% 6.09/1.24 % (3116799)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=2308532147:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2994 on theBenchmark for (2994ds/853Mi)
% 6.09/1.24 % (3116802)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1141263049:i=480:rtra=on_2994 on theBenchmark for (2994ds/480Mi)
% 6.09/1.24 % (3116805)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2574995918:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 6.09/1.24 % (3116801)Instruction limit reached!
% 6.09/1.24 % (3116801)------------------------------
% 6.09/1.24 % (3116801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.09/1.24 % (3116801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.24 % (3116801)CaDiCaL version: 2.1.3
% 6.09/1.24 % (3116801)Termination reason: Instruction limit
% 6.09/1.24 % (3116801)Termination phase: Saturation
% 6.09/1.24 % (3116801)Time elapsed: 0.030 s
% 6.09/1.24 % (3116801)Peak memory usage: 12 MB
% 6.09/1.24 % (3116801)Instructions burned: 46 (million)
% 6.09/1.24 % (3116784)Instruction limit reached!
% 6.09/1.24 % (3116784)------------------------------
% 6.09/1.24 % (3116784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.09/1.24 % (3116784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.24 % (3116784)CaDiCaL version: 2.1.3
% 6.09/1.24 % (3116784)Termination reason: Instruction limit
% 6.09/1.24 % (3116784)Termination phase: Saturation
% 6.09/1.24 % (3116784)Time elapsed: 0.156 s
% 6.09/1.24 % (3116784)Peak memory usage: 13 MB
% 6.09/1.24 % (3116784)Instructions burned: 181 (million)
% 6.09/1.24 % (3116813)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 6.09/1.24 % (3116805)Instruction limit reached!
% 6.09/1.24 % (3116805)------------------------------
% 6.09/1.24 % (3116805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.09/1.24 % (3116805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.24 % (3116805)CaDiCaL version: 2.1.3
% 6.09/1.24 % (3116805)Termination reason: Instruction limit
% 6.09/1.24 % (3116805)Termination phase: Saturation
% 6.09/1.24 % (3116805)Time elapsed: 0.021 s
% 6.09/1.24 % (3116805)Peak memory usage: 12 MB
% 6.09/1.24 % (3116805)Instructions burned: 22 (million)
% 6.09/1.24 % (3116813)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3864612740:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 6.50/1.35 % (3116815)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1542348175:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 6.50/1.35 % (3116815)Instruction limit reached!
% 6.50/1.35 % (3116815)------------------------------
% 6.50/1.35 % (3116815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.50/1.35 % (3116815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.35 % (3116815)CaDiCaL version: 2.1.3
% 6.50/1.35 % (3116815)Termination reason: Instruction limit
% 6.50/1.35 % (3116815)Termination phase: Saturation
% 6.50/1.35 % (3116815)Time elapsed: 0.009 s
% 6.50/1.35 % (3116815)Peak memory usage: 12 MB
% 6.50/1.35 % (3116815)Instructions burned: 13 (million)
% 6.50/1.35 % (3116816)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1113140019:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 6.50/1.35 % (3116819)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2636904023:i=51:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/51Mi)
% 6.50/1.35 % (3116819)Instruction limit reached!
% 6.50/1.35 % (3116819)------------------------------
% 6.50/1.35 % (3116819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.50/1.35 % (3116819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.35 % (3116819)CaDiCaL version: 2.1.3
% 6.50/1.35 % (3116819)Termination reason: Instruction limit
% 6.50/1.35 % (3116819)Termination phase: Saturation
% 6.50/1.35 % (3116819)Time elapsed: 0.047 s
% 6.50/1.35 % (3116819)Peak memory usage: 12 MB
% 6.50/1.35 % (3116819)Instructions burned: 51 (million)
% 6.50/1.35 % (3116816)Instruction limit reached!
% 6.50/1.35 % (3116816)------------------------------
% 6.50/1.35 % (3116816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.50/1.35 % (3116816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.35 % (3116816)CaDiCaL version: 2.1.3
% 6.50/1.35 % (3116816)Termination reason: Instruction limit
% 6.50/1.35 % (3116816)Termination phase: Saturation
% 6.50/1.35 % (3116816)Time elapsed: 0.067 s
% 6.50/1.35 % (3116816)Peak memory usage: 13 MB
% 6.50/1.35 % (3116816)Instructions burned: 67 (million)
% 6.50/1.35 % (3116828)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2587032224:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 6.50/1.35 % (3116829)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1647414543:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 6.50/1.35 % (3116828)Instruction limit reached!
% 6.50/1.35 % (3116828)------------------------------
% 6.50/1.35 % (3116828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.50/1.35 % (3116828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.35 % (3116828)CaDiCaL version: 2.1.3
% 6.50/1.35 % (3116828)Termination reason: Instruction limit
% 6.50/1.35 % (3116828)Termination phase: Saturation
% 6.50/1.35 % (3116828)Time elapsed: 0.021 s
% 6.50/1.35 % (3116828)Peak memory usage: 12 MB
% 6.50/1.35 % (3116828)Instructions burned: 32 (million)
% 6.50/1.35 % (3116813)Instruction limit reached!
% 6.50/1.35 % (3116813)------------------------------
% 6.50/1.35 % (3116813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.50/1.35 % (3116813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.35 % (3116813)CaDiCaL version: 2.1.3
% 6.50/1.35 % (3116813)Termination reason: Instruction limit
% 6.50/1.35 % (3116813)Termination phase: Saturation
% 6.50/1.35 % (3116813)Time elapsed: 0.144 s
% 6.50/1.35 % (3116813)Peak memory usage: 13 MB
% 6.50/1.35 % (3116813)Instructions burned: 200 (million)
% 6.50/1.35 % (3116834)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3750372710:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 6.50/1.35 % (3116835)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=593813874:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2992 on theBenchmark for (2992ds/67Mi)
% 6.50/1.35 % (3116834)Instruction limit reached!
% 6.50/1.35 % (3116834)------------------------------
% 6.50/1.35 % (3116834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.50/1.35 % (3116834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.35 % (3116834)CaDiCaL version: 2.1.3
% 6.50/1.35 % (3116834)Termination reason: Instruction limit
% 6.50/1.35 % (3116834)Termination phase: Saturation
% 6.50/1.35 % (3116834)Time elapsed: 0.020 s
% 6.50/1.35 % (3116834)Peak memory usage: 12 MB
% 6.50/1.35 % (3116834)Instructions burned: 34 (million)
% 6.50/1.35 % (3116838)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 6.50/1.35 % (3116838)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=341104055:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2992 on theBenchmark for (2992ds/180Mi)
% 6.50/1.35 % (3116798)Instruction limit reached!
% 6.50/1.35 % (3116798)------------------------------
% 6.50/1.35 % (3116798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.50/1.35 % (3116798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.35 % (3116798)CaDiCaL version: 2.1.3
% 6.50/1.35 % (3116798)Termination reason: Instruction limit
% 6.50/1.35 % (3116798)Termination phase: Saturation
% 6.50/1.35 % (3116798)Time elapsed: 0.274 s
% 6.50/1.35 % (3116798)Peak memory usage: 13 MB
% 6.50/1.35 % (3116798)Instructions burned: 316 (million)
% 6.50/1.35 % (3116835)Instruction limit reached!
% 6.50/1.35 % (3116835)------------------------------
% 6.50/1.35 % (3116835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.50/1.35 % (3116835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.35 % (3116835)CaDiCaL version: 2.1.3
% 6.50/1.35 % (3116835)Termination reason: Instruction limit
% 6.50/1.35 % (3116835)Termination phase: Saturation
% 6.50/1.35 % (3116835)Time elapsed: 0.047 s
% 6.50/1.35 % (3116835)Peak memory usage: 13 MB
% 6.50/1.35 % (3116835)Instructions burned: 68 (million)
% 6.50/1.35 % (3116843)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2178660111:st=2:i=246:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/246Mi)
% 6.50/1.35 % (3116765)Instruction limit reached!
% 6.50/1.35 % (3116765)------------------------------
% 6.50/1.35 % (3116765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.50/1.36 % (3116765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.36 % (3116765)CaDiCaL version: 2.1.3
% 6.50/1.36 % (3116765)Termination reason: Instruction limit
% 6.50/1.36 % (3116765)Termination phase: Saturation
% 6.50/1.36 % (3116765)Time elapsed: 0.532 s
% 6.50/1.36 % (3116765)Peak memory usage: 15 MB
% 6.50/1.36 % (3116765)Instructions burned: 1243 (million)
% 6.50/1.36 % (3116844)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3802694019:cond=on:i=96:bd=all:rtra=on_2991 on theBenchmark for (2991ds/96Mi)
% 6.50/1.36 % (3116847)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1213057565:i=427:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/427Mi)
% 6.50/1.36 % (3116829)Instruction limit reached!
% 6.50/1.36 % (3116829)------------------------------
% 6.50/1.36 % (3116829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.50/1.36 % (3116829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.36 % (3116829)CaDiCaL version: 2.1.3
% 6.50/1.36 % (3116829)Termination reason: Instruction limit
% 6.50/1.36 % (3116829)Termination phase: Saturation
% 6.50/1.36 % (3116829)Time elapsed: 0.138 s
% 6.50/1.36 % (3116829)Peak memory usage: 12 MB
% 6.50/1.36 % (3116829)Instructions burned: 137 (million)
% 6.50/1.36 % (3116844)Instruction limit reached!
% 6.50/1.36 % (3116844)------------------------------
% 6.50/1.36 % (3116844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.50/1.36 % (3116844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.36 % (3116844)CaDiCaL version: 2.1.3
% 6.50/1.36 % (3116844)Termination reason: Instruction limit
% 6.50/1.36 % (3116844)Termination phase: Saturation
% 6.50/1.36 % (3116844)Time elapsed: 0.054 s
% 6.50/1.36 % (3116844)Peak memory usage: 12 MB
% 6.50/1.36 % (3116844)Instructions burned: 96 (million)
% 6.50/1.36 % (3116850)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=219847909:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/874Mi)
% 6.50/1.36 % (3116851)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=141281081:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/515Mi)
% 6.50/1.36 % (3116802)Instruction limit reached!
% 6.50/1.36 % (3116802)------------------------------
% 6.50/1.36 % (3116802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.50/1.36 % (3116802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.36 % (3116802)CaDiCaL version: 2.1.3
% 6.50/1.36 % (3116802)Termination reason: Instruction limit
% 6.50/1.36 % (3116802)Termination phase: Saturation
% 6.50/1.36 % (3116802)Time elapsed: 0.379 s
% 6.50/1.36 % (3116802)Peak memory usage: 13 MB
% 6.50/1.36 % (3116802)Instructions burned: 480 (million)
% 6.50/1.36 % (3116838)Instruction limit reached!
% 6.50/1.36 % (3116838)------------------------------
% 6.50/1.36 % (3116838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.50/1.36 % (3116838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.36 % (3116838)CaDiCaL version: 2.1.3
% 6.50/1.36 % (3116838)Termination reason: Instruction limit
% 6.50/1.36 % (3116838)Termination phase: Saturation
% 6.50/1.36 % (3116838)Time elapsed: 0.140 s
% 6.50/1.36 % (3116838)Peak memory usage: 14 MB
% 6.50/1.36 % (3116838)Instructions burned: 181 (million)
% 6.50/1.36 % (3116854)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4228666115:st=1.5:i=130:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/130Mi)
% 6.50/1.36 % (3116856)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2434730023:i=44:ep=R:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/44Mi)
% 6.50/1.36 % (3116856) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3116679-3116856"...
% 6.50/1.36 % (3116856)...printing done.
% 6.50/1.36 % (3116856)Refutation found. Thanks to Tanya!
% 6.50/1.36 % SZS status Theorem for theBenchmark
% 6.50/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 6.50/1.36 % (3116856)------------------------------
% 6.50/1.36 % (3116856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.50/1.36 % (3116856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.50/1.36 % (3116856)CaDiCaL version: 2.1.3
% 6.50/1.36 % (3116856)Termination reason: Refutation
% 6.50/1.36 % (3116856)Time elapsed: 0.039 s
% 6.50/1.36 % (3116856)Peak memory usage: 13 MB
% 6.50/1.36 % (3116856)Instructions burned: 42 (million)
% 6.50/1.36 % (3116679)Success in time 1.018 s
% 6.50/1.36 % Vampire exiting
%------------------------------------------------------------------------------