%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM810^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 08:18:57 AM UTC 2026
% Result : Theorem 0.84s 0.42s
% Output : Refutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 72 ( 29 unt; 0 typ; 5 def)
% Number of atoms : 400 ( 60 equ; 0 cnn)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 650 ( 46 ~; 47 |; 28 &; 396 @)
% ( 5 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 26 ( 21 usr; 13 con; 0-4 aty)
% ( 52 !!; 26 ??; 0 @@+; 0 @@-)
% Number of variables : 90 ( 0 sgn 31 !; 3 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
cDOUBLE: $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,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_12,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_17,type,
sK2: ( $i > $o ) > $i ).
thf(f1,axiom,
! [X0: $i > $o] :
( ( ( ! [X1: $i] :
( ( X0 @ X1 )
=> ( X0 @ ( cS @ X1 ) ) )
& ( X0 @ c0 ) )
=> ! [X1: $i] : ( X0 @ X1 ) )
= cIND ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cIND_def) ).
thf(f2,conjecture,
( ( cIND
& ( cDOUBLE @ c0 @ c0 )
& ! [X0: $i,X1: $i] :
( ( cDOUBLE @ X0 @ X1 )
=> ( cDOUBLE @ ( cS @ X0 ) @ ( cS @ ( cS @ X1 ) ) ) ) )
=> ! [X0: $i] :
? [X1: $i] : ( cDOUBLE @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM140) ).
thf(f3,negated_conjecture,
~ ( ( cIND
& ( cDOUBLE @ c0 @ c0 )
& ! [X0: $i,X1: $i] :
( ( cDOUBLE @ X0 @ X1 )
=> ( cDOUBLE @ ( cS @ X0 ) @ ( cS @ ( cS @ X1 ) ) ) ) )
=> ! [X0: $i] :
? [X1: $i] : ( cDOUBLE @ X0 @ X1 ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
thf(f4,plain,
~ ( ( cIND
& ( cDOUBLE @ c0 @ c0 )
& ! [X0: $i,X1: $i] :
( ( cDOUBLE @ X0 @ X1 )
=> ( cDOUBLE @ ( cS @ X0 ) @ ( cS @ ( cS @ X1 ) ) ) ) )
=> ! [X2: $i] :
? [X3: $i] : ( cDOUBLE @ X2 @ X3 ) ),
inference(rectify,[],[f3]) ).
thf(f5,plain,
( ( ~ ( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
& ( cDOUBLE @ c0 @ c0 )
& cIND )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( cDOUBLE @ Y0 @ Y1 ) ) ) ) )
= $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,
( 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(f9,plain,
( ( ~ ( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
& ( cDOUBLE @ c0 @ c0 )
& cIND )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] : ( cDOUBLE @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f5]) ).
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,[],[f8]) ).
thf(f13,plain,
( ( ~ ( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
& ( cDOUBLE @ c0 @ c0 )
& cIND )
=> ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( cDOUBLE @ Y0 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f9]) ).
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,
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
& ( cDOUBLE @ c0 @ c0 )
& cIND )
=> ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( cDOUBLE @ Y0 ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f13]) ).
thf(f22,definition,
( spl0_2
<=> ( cIND = $true ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f24,plain,
( ( cIND = $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f22]) ).
thf(f27,definition,
( spl0_3
<=> ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( Y0 @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) ) )
=> ( !! @ $i @ Y0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f29,plain,
( ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ( Y0 @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) ) )
=> ( !! @ $i @ Y0 ) ) )
= $true )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f27]) ).
thf(f31,definition,
( spl0_4
<=> ( cIND = $false ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f33,plain,
( ( cIND = $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f31]) ).
thf(f34,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f15,f31,f27]) ).
thf(f35,plain,
( ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( cDOUBLE @ Y0 ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f16]) ).
thf(f36,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
& ( cDOUBLE @ c0 @ c0 )
& cIND )
= $true ),
inference(imp_proxy_clausification,[],[f16]) ).
thf(f37,plain,
cIND = $true,
inference(and_proxy_clausification,[],[f36]) ).
thf(f38,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) )
& ( cDOUBLE @ c0 @ c0 ) )
= $true ),
inference(and_proxy_clausification,[],[f36]) ).
thf(f39,plain,
spl0_2,
inference(avatar_split_clause,[],[f37,f22]) ).
thf(f40,plain,
( ( cDOUBLE @ c0 @ c0 )
= $true ),
inference(and_proxy_clausification,[],[f38]) ).
thf(f41,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f38]) ).
thf(f45,plain,
( ! [X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( ( ( Y0 @ c0 )
& ( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cS @ Y1 ) ) ) ) )
=> ( !! @ $i @ Y0 ) )
@ X1 )
= $true )
| ~ spl0_3 ),
inference(pi_proxy_clausification,[],[f29]) ).
thf(f46,plain,
( ! [X1: $i > $o] :
( $true
= ( ( ( X1 @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X1 @ ( cS @ Y0 ) ) ) ) )
=> ( !! @ $i @ X1 ) ) )
| ~ spl0_3 ),
inference(beta-eta_normalization,[],[f45]) ).
thf(f47,plain,
( ! [X1: $i > $o] :
( ( ( ( X1 @ c0 )
& ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X1 @ ( cS @ Y0 ) ) ) ) )
= $false )
| ( ( !! @ $i @ X1 )
= $true ) )
| ~ spl0_3 ),
inference(imp_proxy_clausification,[],[f46]) ).
thf(f48,plain,
( ! [X1: $i > $o] :
( ( ( !! @ $i @ X1 )
= $true )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
=> ( X1 @ ( cS @ Y0 ) ) ) ) )
| ( ( X1 @ c0 )
= $false ) )
| ~ spl0_3 ),
inference(and_proxy_clausification,[],[f47]) ).
thf(f51,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ^ [Y1: $i] : ( ?? @ $i @ ( cDOUBLE @ Y1 ) )
@ Y0 )
=> ( ^ [Y1: $i] : ( ?? @ $i @ ( cDOUBLE @ Y1 ) )
@ ( cS @ Y0 ) ) ) )
= $false )
| ( ( ^ [Y0: $i] : ( ?? @ $i @ ( cDOUBLE @ Y0 ) )
@ c0 )
= $false )
| ( $false = $true )
| ~ spl0_3 ),
inference(superposition,[],[f35,f48]) ).
thf(f52,plain,
( ( ( ^ [Y0: $i] : ( ?? @ $i @ ( cDOUBLE @ Y0 ) )
@ c0 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ^ [Y1: $i] : ( ?? @ $i @ ( cDOUBLE @ Y1 ) )
@ Y0 )
=> ( ^ [Y1: $i] : ( ?? @ $i @ ( cDOUBLE @ Y1 ) )
@ ( cS @ Y0 ) ) ) )
= $false )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f51]) ).
thf(f53,plain,
( ( $false
= ( ?? @ $i @ ( cDOUBLE @ c0 ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i @ ( cDOUBLE @ Y0 ) )
=> ( ?? @ $i @ ( cDOUBLE @ ( cS @ Y0 ) ) ) ) )
= $false )
| ~ spl0_3 ),
inference(beta-eta_normalization,[],[f52]) ).
thf(f57,definition,
( spl0_5
<=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i @ ( cDOUBLE @ Y0 ) )
=> ( ?? @ $i @ ( cDOUBLE @ ( cS @ Y0 ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f59,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i @ ( cDOUBLE @ Y0 ) )
=> ( ?? @ $i @ ( cDOUBLE @ ( cS @ Y0 ) ) ) ) )
= $false )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f57]) ).
thf(f61,definition,
( spl0_6
<=> ( $false
= ( ?? @ $i @ ( cDOUBLE @ c0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f63,plain,
( ( $false
= ( ?? @ $i @ ( cDOUBLE @ c0 ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f61]) ).
thf(f112,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( ?? @ $i @ ( cDOUBLE @ Y0 ) )
=> ( ?? @ $i @ ( cDOUBLE @ ( cS @ Y0 ) ) ) )
@ sK3 ) )
| ~ spl0_5 ),
inference(sigma_proxy_clausification,[],[f59]) ).
thf(f119,plain,
( ( ( ( ?? @ $i @ ( cDOUBLE @ sK3 ) )
=> ( ?? @ $i @ ( cDOUBLE @ ( cS @ sK3 ) ) ) )
= $false )
| ~ spl0_5 ),
inference(beta-eta_normalization,[],[f112]) ).
thf(f124,plain,
( ( ( ?? @ $i @ ( cDOUBLE @ ( cS @ sK3 ) ) )
= $false )
| ~ spl0_5 ),
inference(imp_proxy_clausification,[],[f119]) ).
thf(f125,plain,
( ( ( ?? @ $i @ ( cDOUBLE @ sK3 ) )
= $true )
| ~ spl0_5 ),
inference(imp_proxy_clausification,[],[f119]) ).
thf(f142,plain,
( ( $false = $true )
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f33,f24]) ).
thf(f146,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f142]) ).
thf(f147,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f146]) ).
thf(f166,plain,
( spl0_6
| spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f53,f27,f57,f61]) ).
thf(f190,plain,
( ! [X1: $i] :
( ( cDOUBLE @ c0 @ X1 )
= $false )
| ~ spl0_6 ),
inference(pi_proxy_clausification,[],[f63]) ).
thf(f200,plain,
( ( $false = $true )
| ~ spl0_6 ),
inference(superposition,[],[f40,f190]) ).
thf(f206,plain,
( $false
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f200]) ).
thf(f207,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f206]) ).
thf(f234,plain,
( ( ( cDOUBLE @ sK3 @ sK5 )
= $true )
| ~ spl0_5 ),
inference(sigma_proxy_clausification,[],[f125]) ).
thf(f254,plain,
( ! [X1: $i] :
( ( cDOUBLE @ ( cS @ sK3 ) @ X1 )
= $false )
| ~ spl0_5 ),
inference(pi_proxy_clausification,[],[f124]) ).
thf(f276,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( cDOUBLE @ Y1 @ Y0 )
=> ( cDOUBLE @ ( cS @ Y1 ) @ ( cS @ ( cS @ Y0 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f41]) ).
thf(f277,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( cDOUBLE @ Y0 @ X1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ X1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f276]) ).
thf(f283,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( cDOUBLE @ Y0 @ X1 )
=> ( cDOUBLE @ ( cS @ Y0 ) @ ( cS @ ( cS @ X1 ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f277]) ).
thf(f284,plain,
! [X2: $i,X1: $i] :
( ( ( cDOUBLE @ X2 @ X1 )
=> ( cDOUBLE @ ( cS @ X2 ) @ ( cS @ ( cS @ X1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f283]) ).
thf(f285,plain,
! [X2: $i,X1: $i] :
( ( ( cDOUBLE @ ( cS @ X2 ) @ ( cS @ ( cS @ X1 ) ) )
= $true )
| ( $false
= ( cDOUBLE @ X2 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f284]) ).
thf(f287,plain,
( ! [X0: $i] :
( ( ( cDOUBLE @ sK3 @ X0 )
= $false )
| ( $false = $true ) )
| ~ spl0_5 ),
inference(superposition,[],[f254,f285]) ).
thf(f288,plain,
( ! [X0: $i] :
( ( cDOUBLE @ sK3 @ X0 )
= $false )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f287]) ).
thf(f290,plain,
( ( $false = $true )
| ~ spl0_5 ),
inference(superposition,[],[f288,f234]) ).
thf(f294,plain,
( $false
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f290]) ).
thf(f295,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f294]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f34]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f39]) ).
cnf(s15,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f147]) ).
cnf(s16,plain,
( ~ spl0_3
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f166]) ).
cnf(s19,plain,
~ spl0_6,
inference(sat_conversion,[],[f207]) ).
cnf(s23,plain,
~ spl0_5,
inference(sat_conversion,[],[f295]) ).
cnf(s24,plain,
~ spl0_3,
inference(rat,[],[s16,s19,s23]) ).
cnf(s25,plain,
~ spl0_4,
inference(rat,[],[s15,s3]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s2,s25,s24]) ).
thf(f296,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM810^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n004.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
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 13:01:07 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/0.39 % (1242101)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.84/0.39 % (1242116)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=48671081: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)
% 0.84/0.39 % (1242119)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.84/0.39 % (1242119)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
% 0.84/0.39 % (1242113)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=747272751:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.84/0.39 % (1242115)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1241578142:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.84/0.39 % (1242117)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2381526149:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.84/0.39 % (1242119)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=3494219684:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.84/0.39 % (1242118)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=161819659:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.84/0.39 % (1242114)lrs+10_16_si=on:nwc=1.5:random_seed=295339459:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.84/0.39 % (1242115)Instruction limit reached!
% 0.84/0.39 % (1242115)------------------------------
% 0.84/0.39 % (1242115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (1242115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (1242115)CaDiCaL version: 2.1.3
% 0.84/0.39 % (1242115)Termination reason: Instruction limit
% 0.84/0.39 % (1242115)Termination phase: Saturation
% 0.84/0.39 % (1242115)Time elapsed: 0.003 s
% 0.84/0.39 % (1242115)Peak memory usage: 12 MB
% 0.84/0.39 % (1242115)Instructions burned: 5 (million)
% 0.84/0.39 % (1242117)Instruction limit reached!
% 0.84/0.39 % (1242117)------------------------------
% 0.84/0.39 % (1242117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (1242117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (1242117)CaDiCaL version: 2.1.3
% 0.84/0.39 % (1242117)Termination reason: Instruction limit
% 0.84/0.39 % (1242117)Termination phase: Saturation
% 0.84/0.39 % (1242117)Time elapsed: 0.014 s
% 0.84/0.39 % (1242117)Peak memory usage: 12 MB
% 0.84/0.39 % (1242117)Instructions burned: 24 (million)
% 0.84/0.39 % (1242114)Instruction limit reached!
% 0.84/0.39 % (1242114)------------------------------
% 0.84/0.39 % (1242114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (1242114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (1242114)CaDiCaL version: 2.1.3
% 0.84/0.39 % (1242114)Termination reason: Instruction limit
% 0.84/0.39 % (1242114)Termination phase: Saturation
% 0.84/0.39 % (1242114)Time elapsed: 0.015 s
% 0.84/0.39 % (1242114)Peak memory usage: 12 MB
% 0.84/0.39 % (1242114)Instructions burned: 18 (million)
% 0.84/0.39 % (1242134)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2542143166:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.84/0.39 % (1242134)Instruction limit reached!
% 0.84/0.39 % (1242134)------------------------------
% 0.84/0.39 % (1242134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (1242134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (1242134)CaDiCaL version: 2.1.3
% 0.84/0.39 % (1242134)Termination reason: Instruction limit
% 0.84/0.39 % (1242134)Termination phase: Saturation
% 0.84/0.39 % (1242134)Time elapsed: 0.002 s
% 0.84/0.39 % (1242134)Peak memory usage: 12 MB
% 0.84/0.39 % (1242134)Instructions burned: 3 (million)
% 0.84/0.39 % (1242119)Refutation not found, incomplete strategy
% 0.84/0.39 % (1242119)------------------------------
% 0.84/0.39 % (1242119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (1242119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (1242119)CaDiCaL version: 2.1.3
% 0.84/0.42 % (1242119)Termination reason: Refutation not found, incomplete strategy
% 0.84/0.42 % (1242119)Time elapsed: 0.026 s
% 0.84/0.42 % (1242119)Peak memory usage: 12 MB
% 0.84/0.42 % (1242119)Instructions burned: 49 (million)
% 0.84/0.42 % (1242119)------------------------------
% 0.84/0.42 % (1242119)------------------------------
% 0.84/0.42 % (1242139)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.84/0.42 % (1242138)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4152442849:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.84/0.42 % (1242139)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2342428611:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.84/0.42 % (1242138)Instruction limit reached!
% 0.84/0.42 % (1242138)------------------------------
% 0.84/0.42 % (1242138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (1242138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (1242138)CaDiCaL version: 2.1.3
% 0.84/0.42 % (1242138)Termination reason: Instruction limit
% 0.84/0.42 % (1242138)Termination phase: Saturation
% 0.84/0.42 % (1242138)Time elapsed: 0.004 s
% 0.84/0.42 % (1242138)Peak memory usage: 12 MB
% 0.84/0.42 % (1242138)Instructions burned: 6 (million)
% 0.84/0.42 % (1242139)Instruction limit reached!
% 0.84/0.42 % (1242139)------------------------------
% 0.84/0.42 % (1242139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (1242139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (1242139)CaDiCaL version: 2.1.3
% 0.84/0.42 % (1242139)Termination reason: Instruction limit
% 0.84/0.42 % (1242139)Termination phase: Saturation
% 0.84/0.42 % (1242139)Time elapsed: 0.004 s
% 0.84/0.42 % (1242139)Peak memory usage: 12 MB
% 0.84/0.42 % (1242139)Instructions burned: 7 (million)
% 0.84/0.42 % (1242118)Instruction limit reached!
% 0.84/0.42 % (1242118)------------------------------
% 0.84/0.42 % (1242118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (1242118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (1242118)CaDiCaL version: 2.1.3
% 0.84/0.42 % (1242118)Termination reason: Instruction limit
% 0.84/0.42 % (1242118)Termination phase: Saturation
% 0.84/0.42 % (1242118)Time elapsed: 0.040 s
% 0.84/0.42 % (1242118)Peak memory usage: 12 MB
% 0.84/0.42 % (1242118)Instructions burned: 76 (million)
% 0.84/0.42 % (1242142)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
% 0.84/0.42 % (1242142)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.84/0.42 % (1242141)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4071900222:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.84/0.42 % (1242142)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1148138501:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.84/0.42 % (1242113)Instruction limit reached!
% 0.84/0.42 % (1242113)------------------------------
% 0.84/0.42 % (1242113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (1242113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (1242113)CaDiCaL version: 2.1.3
% 0.84/0.42 % (1242113)Termination reason: Instruction limit
% 0.84/0.42 % (1242113)Termination phase: Saturation
% 0.84/0.42 % (1242113)Time elapsed: 0.048 s
% 0.84/0.42 % (1242113)Peak memory usage: 12 MB
% 0.84/0.42 % (1242113)Instructions burned: 88 (million)
% 0.84/0.42 % (1242141)Instruction limit reached!
% 0.84/0.42 % (1242141)------------------------------
% 0.84/0.42 % (1242141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (1242141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (1242141)CaDiCaL version: 2.1.3
% 0.84/0.42 % (1242141)Termination reason: Instruction limit
% 0.84/0.42 % (1242141)Termination phase: Saturation
% 0.84/0.42 % (1242141)Time elapsed: 0.007 s
% 0.84/0.42 % (1242141)Peak memory usage: 12 MB
% 0.84/0.42 % (1242141)Instructions burned: 12 (million)
% 0.84/0.42 % (1242145)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=2040003626:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.84/0.42 % (1242148)lrs+10_1_si=on:cs=on:random_seed=1855728090:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.84/0.42 % (1242142)Instruction limit reached!
% 0.84/0.42 % (1242142)------------------------------
% 0.84/0.42 % (1242142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (1242142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (1242142)CaDiCaL version: 2.1.3
% 0.84/0.42 % (1242142)Termination reason: Instruction limit
% 0.84/0.42 % (1242142)Termination phase: Saturation
% 0.84/0.42 % (1242142)Time elapsed: 0.018 s
% 0.84/0.42 % (1242142)Peak memory usage: 12 MB
% 0.84/0.42 % (1242142)Instructions burned: 30 (million)
% 0.84/0.42 % (1242148)Instruction limit reached!
% 0.84/0.42 % (1242148)------------------------------
% 0.84/0.42 % (1242148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (1242148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (1242148)CaDiCaL version: 2.1.3
% 0.84/0.42 % (1242148)Termination reason: Instruction limit
% 0.84/0.42 % (1242148)Termination phase: Saturation
% 0.84/0.42 % (1242148)Time elapsed: 0.004 s
% 0.84/0.42 % (1242148)Peak memory usage: 11 MB
% 0.84/0.42 % (1242148)Instructions burned: 9 (million)
% 0.84/0.42 % (1242150)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.84/0.42 % (1242157)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3810741238:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.84/0.42 % (1242150)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=3070485806:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.84/0.42 % (1242150)Instruction limit reached!
% 0.84/0.42 % (1242150)------------------------------
% 0.84/0.42 % (1242150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (1242150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (1242150)CaDiCaL version: 2.1.3
% 0.84/0.42 % (1242150)Termination reason: Instruction limit
% 0.84/0.42 % (1242150)Termination phase: Saturation
% 0.84/0.42 % (1242150)Time elapsed: 0.002 s
% 0.84/0.42 % (1242150)Peak memory usage: 12 MB
% 0.84/0.42 % (1242150)Instructions burned: 3 (million)
% 0.84/0.42 % (1242167)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2389661969:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.84/0.42 % (1242155)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3956185083:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.84/0.42 % (1242167)Refutation not found, incomplete strategy
% 0.84/0.42 % (1242167)------------------------------
% 0.84/0.42 % (1242167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (1242167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (1242167)CaDiCaL version: 2.1.3
% 0.84/0.42 % (1242167)Termination reason: Refutation not found, incomplete strategy
% 0.84/0.42 % (1242167)Time elapsed: 0.002 s
% 0.84/0.42 % (1242167)Peak memory usage: 12 MB
% 0.84/0.42 % (1242167)Instructions burned: 2 (million)
% 0.84/0.42 % (1242167)------------------------------
% 0.84/0.42 % (1242167)------------------------------
% 0.84/0.42 % (1242168)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=415362345:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.84/0.42 % (1242168)Instruction limit reached!
% 0.84/0.42 % (1242168)------------------------------
% 0.84/0.42 % (1242168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (1242168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (1242168)CaDiCaL version: 2.1.3
% 0.84/0.42 % (1242168)Termination reason: Instruction limit
% 0.84/0.42 % (1242168)Termination phase: Saturation
% 0.84/0.42 % (1242168)Time elapsed: 0.009 s
% 0.84/0.42 % (1242168)Peak memory usage: 12 MB
% 0.84/0.42 % (1242168)Instructions burned: 14 (million)
% 0.84/0.42 % (1242145)Instruction limit reached!
% 0.84/0.42 % (1242145)------------------------------
% 0.84/0.42 % (1242145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (1242145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (1242145)CaDiCaL version: 2.1.3
% 0.84/0.42 % (1242145)Termination reason: Instruction limit
% 0.84/0.42 % (1242145)Termination phase: Saturation
% 0.84/0.42 % (1242145)Time elapsed: 0.039 s
% 0.84/0.42 % (1242145)Peak memory usage: 12 MB
% 0.84/0.42 % (1242145)Instructions burned: 92 (million)
% 0.84/0.42 % (1242178)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3711962135:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.84/0.42 % (1242155)Instruction limit reached!
% 0.84/0.42 % (1242155)------------------------------
% 0.84/0.42 % (1242155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (1242155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (1242155)CaDiCaL version: 2.1.3
% 0.84/0.42 % (1242155)Termination reason: Instruction limit
% 0.84/0.42 % (1242155)Termination phase: Saturation
% 0.84/0.42 % (1242155)Time elapsed: 0.025 s
% 0.84/0.42 % (1242155)Peak memory usage: 12 MB
% 0.84/0.42 % (1242155)Instructions burned: 39 (million)
% 0.84/0.42 % (1242176)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3999574871:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.84/0.42 % (1242183)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3451310539: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)
% 0.84/0.42 % (1242178)Instruction limit reached!
% 0.84/0.42 % (1242178)------------------------------
% 0.84/0.42 % (1242178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (1242184)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3507283056:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.84/0.42 % (1242178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (1242178)CaDiCaL version: 2.1.3
% 0.84/0.42 % (1242178)Termination reason: Instruction limit
% 0.84/0.42 % (1242178)Termination phase: Saturation
% 0.84/0.42 % (1242178)Time elapsed: 0.009 s
% 0.84/0.42 % (1242178)Peak memory usage: 12 MB
% 0.84/0.42 % (1242178)Instructions burned: 15 (million)
% 0.84/0.42 % (1242183)Instruction limit reached!
% 0.84/0.42 % (1242183)------------------------------
% 0.84/0.42 % (1242183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (1242183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (1242183)CaDiCaL version: 2.1.3
% 0.84/0.42 % (1242183)Termination reason: Instruction limit
% 0.84/0.42 % (1242183)Termination phase: Saturation
% 0.84/0.42 % (1242183)Time elapsed: 0.003 s
% 0.84/0.42 % (1242183)Peak memory usage: 12 MB
% 0.84/0.42 % (1242183)Instructions burned: 4 (million)
% 0.84/0.42 % (1242184) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1242101-1242184"...
% 0.84/0.42 % (1242187)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3422301805:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.84/0.42 % (1242184)...printing done.
% 0.84/0.42 % (1242184)Refutation found. Thanks to Tanya!
% 0.84/0.42 % SZS status Theorem for theBenchmark
% 0.84/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.84/0.42 % (1242184)------------------------------
% 0.84/0.42 % (1242184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.42 % (1242184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.42 % (1242184)CaDiCaL version: 2.1.3
% 0.84/0.42 % (1242184)Termination reason: Refutation
% 0.84/0.42 % (1242184)Time elapsed: 0.012 s
% 0.84/0.42 % (1242184)Peak memory usage: 13 MB
% 0.84/0.42 % (1242184)Instructions burned: 20 (million)
% 0.84/0.42 % (1242101)Success in time 0.167 s
% 0.84/0.42 % Vampire exiting
%------------------------------------------------------------------------------