%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO535^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 08:48:22 AM UTC 2026
% Result : Theorem 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 9
% Syntax : Number of formulae : 74 ( 23 unt; 0 typ; 4 def)
% Number of atoms : 236 ( 79 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 406 ( 73 ~; 58 |; 2 &; 247 @)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 185 ( 185 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 21 usr; 8 con; 0-4 aty)
% ( 0 !!; 12 ??; 0 @@+; 0 @@-)
% Number of variables : 125 ( 0 sgn 59 !; 19 ?; 125 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
eps: ( $i > $o ) > $i ).
thf(func_def_2,type,
epsii: ( ( $i > $i ) > $o ) > $i > $i ).
thf(func_def_3,type,
epsa: ( $i > ( $i > $i ) > $o ) > $i ).
thf(func_def_4,type,
epsb: ( $i > ( $i > $i ) > $o ) > $i > $i ).
thf(func_def_5,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_10,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_11,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
sK0: $i > ( $i > $i ) > $o ).
thf(func_def_14,type,
sK2: $i > $i ).
thf(func_def_15,type,
vNOT: $o > $o ).
thf(func_def_17,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_18,type,
sK4: ( $i > ( $i > $i ) > $o ) > $i > $i ).
thf(func_def_19,type,
sK5: ( $i > ( $i > $i ) > $o ) > $i > $i ).
thf(f1,axiom,
! [X0: $i > $o] :
( ? [X1: $i] : ( X0 @ X1 )
=> ( X0 @ ( eps @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',choiceax) ).
thf(f2,axiom,
! [X0: ( $i > $i ) > $o] :
( ? [X1: $i > $i] : ( X0 @ X1 )
=> ( X0 @ ( epsii @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',choiceaxii) ).
thf(f3,axiom,
( epsa
= ( ^ [X0: $i > ( $i > $i ) > $o] :
( eps
@ ^ [X1: $i] :
? [X2: $i > $i] : ( X0 @ X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',epsad) ).
thf(f4,axiom,
( ( ^ [X0: $i > ( $i > $i ) > $o] :
( epsii
@ ^ [X1: $i > $i] : ( X0 @ ( epsa @ X0 ) @ X1 ) ) )
= epsb ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',epsbd) ).
thf(f5,conjecture,
! [X0: $i > ( $i > $i ) > $o] :
( ? [X1: $i,X2: $i > $i] : ( X0 @ X1 @ X2 )
=> ( X0 @ ( epsa @ X0 ) @ ( epsb @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f6,negated_conjecture,
~ ! [X0: $i > ( $i > $i ) > $o] :
( ? [X1: $i,X2: $i > $i] : ( X0 @ X1 @ X2 )
=> ( X0 @ ( epsa @ X0 ) @ ( epsb @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
thf(f7,plain,
( ( ^ [X0: $i > ( $i > $i ) > $o] :
( epsii
@ ^ [X1: $i > $i] : ( X0 @ ( epsa @ X0 ) @ X1 ) ) )
= epsb ),
inference(rectify,[],[f4]) ).
thf(f8,plain,
( epsb
= ( ^ [Y0: $i > ( $i > $i ) > $o] :
( epsii
@ ^ [Y1: $i > $i] : ( Y0 @ ( epsa @ Y0 ) @ Y1 ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
! [X0: $i > $o] :
( ? [X1: $i] : ( X0 @ X1 )
=> ( X0 @ ( eps @ X0 ) ) ),
inference(rectify,[],[f1]) ).
thf(f10,plain,
! [X0: $i > $o] :
( ? [X1: $i] :
( ( X0 @ X1 )
= $true )
=> ( ( X0 @ ( eps @ X0 ) )
= $true ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
( epsa
= ( ^ [X0: $i > ( $i > $i ) > $o] :
( eps
@ ^ [X1: $i] :
? [X2: $i > $i] : ( X0 @ X1 @ X2 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f12,plain,
( epsa
= ( ^ [Y0: $i > ( $i > $i ) > $o] :
( eps
@ ^ [Y1: $i] :
( ?? @ ( $i > $i )
@ ^ [Y2: $i > $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f13,plain,
! [X0: ( $i > $i ) > $o] :
( ? [X1: $i > $i] : ( X0 @ X1 )
=> ( X0 @ ( epsii @ X0 ) ) ),
inference(rectify,[],[f2]) ).
thf(f14,plain,
! [X0: ( $i > $i ) > $o] :
( ? [X1: $i > $i] :
( ( X0 @ X1 )
= $true )
=> ( ( X0 @ ( epsii @ X0 ) )
= $true ) ),
inference(fool_elimination,[],[f13]) ).
thf(f15,plain,
~ ! [X0: $i > ( $i > $i ) > $o] :
( ? [X1: $i,X2: $i > $i] : ( X0 @ X1 @ X2 )
=> ( X0 @ ( epsa @ X0 ) @ ( epsb @ X0 ) ) ),
inference(rectify,[],[f6]) ).
thf(f16,plain,
~ ! [X0: $i > ( $i > $i ) > $o] :
( ? [X1: $i,X2: $i > $i] :
( ( X0 @ X1 @ X2 )
= $true )
=> ( ( X0 @ ( epsa @ X0 ) @ ( epsb @ X0 ) )
= $true ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
! [X0: ( $i > $i ) > $o] :
( ! [X1: $i > $i] :
( ( X0 @ X1 )
!= $true )
| ( ( X0 @ ( epsii @ X0 ) )
= $true ) ),
inference(ennf_transformation,[],[f14]) ).
thf(f18,plain,
? [X0: $i > ( $i > $i ) > $o] :
( ( ( X0 @ ( epsa @ X0 ) @ ( epsb @ X0 ) )
!= $true )
& ? [X1: $i,X2: $i > $i] :
( ( X0 @ X1 @ X2 )
= $true ) ),
inference(ennf_transformation,[],[f16]) ).
thf(f19,plain,
! [X0: $i > $o] :
( ( ( X0 @ ( eps @ X0 ) )
= $true )
| ! [X1: $i] :
( ( X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f10]) ).
thf(f20,plain,
( ( ( sK0 @ ( epsa @ sK0 ) @ ( epsb @ sK0 ) )
!= $true )
& ( ( sK0 @ sK1 @ sK2 )
= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f18]) ).
thf(f21,plain,
( epsa
= ( ^ [Y0: $i > ( $i > $i ) > $o] :
( eps
@ ^ [Y1: $i] :
( ?? @ ( $i > $i )
@ ^ [Y2: $i > $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f22,plain,
! [X0: ( $i > $i ) > $o,X1: $i > $i] :
( ( ( X0 @ ( epsii @ X0 ) )
= $true )
| ( ( X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f23,plain,
( ( sK0 @ sK1 @ sK2 )
= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f24,plain,
( ( sK0 @ ( epsa @ sK0 ) @ ( epsb @ sK0 ) )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f25,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ ( eps @ X0 ) )
= $true )
| ( ( X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f26,plain,
( epsb
= ( ^ [Y0: $i > ( $i > $i ) > $o] :
( epsii
@ ^ [Y1: $i > $i] : ( Y0 @ ( epsa @ Y0 ) @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f28,plain,
( epsa
= ( ^ [Y0: $i > ( $i > $i ) > $o] :
( eps
@ ^ [Y1: $i] : ( ?? @ ( $i > $i ) @ ( Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f21]) ).
thf(f29,plain,
( epsb
= ( ^ [Y0: $i > ( $i > $i ) > $o] : ( epsii @ ( Y0 @ ( epsa @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f26]) ).
thf(f31,definition,
( spl3_1
<=> ( epsa
= ( ^ [Y0: $i > ( $i > $i ) > $o] :
( eps
@ ^ [Y1: $i] : ( ?? @ ( $i > $i ) @ ( Y0 @ Y1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
thf(f33,plain,
( ( epsa
= ( ^ [Y0: $i > ( $i > $i ) > $o] :
( eps
@ ^ [Y1: $i] : ( ?? @ ( $i > $i ) @ ( Y0 @ Y1 ) ) ) ) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f31]) ).
thf(f34,plain,
spl3_1,
inference(avatar_split_clause,[],[f28,f31]) ).
thf(f36,definition,
( spl3_2
<=> ( ( sK0 @ sK1 @ sK2 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
thf(f38,plain,
( ( ( sK0 @ sK1 @ sK2 )
= $true )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f36]) ).
thf(f39,plain,
spl3_2,
inference(avatar_split_clause,[],[f23,f36]) ).
thf(f41,definition,
( spl3_3
<=> ( ( sK0 @ ( epsa @ sK0 ) @ ( epsb @ sK0 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
thf(f43,plain,
( ( ( sK0 @ ( epsa @ sK0 ) @ ( epsb @ sK0 ) )
!= $true )
| spl3_3 ),
inference(avatar_component_clause,[],[f41]) ).
thf(f44,plain,
~ spl3_3,
inference(avatar_split_clause,[],[f24,f41]) ).
thf(f46,definition,
( spl3_4
<=> ( epsb
= ( ^ [Y0: $i > ( $i > $i ) > $o] : ( epsii @ ( Y0 @ ( epsa @ Y0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
thf(f48,plain,
( ( epsb
= ( ^ [Y0: $i > ( $i > $i ) > $o] : ( epsii @ ( Y0 @ ( epsa @ Y0 ) ) ) ) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f46]) ).
thf(f49,plain,
spl3_4,
inference(avatar_split_clause,[],[f29,f46]) ).
thf(f65,plain,
! [X2: ( $i > $i ) > $o,X1: $i > $i] :
( ( ( ^ [Y0: $i > $i] :
~ ( X2 @ Y0 )
@ X1 )
!= $true )
| ( ( ^ [Y0: $i > $i] :
~ ( X2 @ Y0 )
@ ( epsii
@ ^ [Y0: $i > $i] :
~ ( X2 @ Y0 ) ) )
= $true ) ),
inference(primitive_instantiation,[],[f22]) ).
thf(f68,plain,
! [X2: ( $i > $i ) > $o,X1: $i > $i] :
( ( ( ~ ( X2
@ ( epsii
@ ^ [Y0: $i > $i] :
~ ( X2 @ Y0 ) ) ) )
= $true )
| ( ( ~ ( X2 @ X1 ) )
!= $true ) ),
inference(beta-eta_normalization,[],[f65]) ).
thf(f69,plain,
! [X2: ( $i > $i ) > $o,X1: $i > $i] :
( ( $false
= ( X2
@ ( epsii
@ ^ [Y0: $i > $i] :
~ ( X2 @ Y0 ) ) ) )
| ( ( ~ ( X2 @ X1 ) )
!= $true ) ),
inference(not_proxy_clausification,[],[f68]) ).
thf(f70,plain,
! [X2: ( $i > $i ) > $o,X1: $i > $i] :
( ( $false
= ( X2
@ ( epsii
@ ^ [Y0: $i > $i] :
~ ( X2 @ Y0 ) ) ) )
| ( ( X2 @ X1 )
= $true ) ),
inference(not_proxy_clausification,[],[f69]) ).
thf(f75,plain,
( ! [X1: $i > ( $i > $i ) > $o] :
( ( epsa @ X1 )
= ( ^ [Y0: $i > ( $i > $i ) > $o] :
( eps
@ ^ [Y1: $i] : ( ?? @ ( $i > $i ) @ ( Y0 @ Y1 ) ) )
@ X1 ) )
| ~ spl3_1 ),
inference(argument_congruence,[],[f33]) ).
thf(f76,plain,
( ! [X1: $i > ( $i > $i ) > $o] :
( ( eps
@ ^ [Y0: $i] : ( ?? @ ( $i > $i ) @ ( X1 @ Y0 ) ) )
= ( epsa @ X1 ) )
| ~ spl3_1 ),
inference(beta-eta_normalization,[],[f75]) ).
thf(f77,plain,
( ! [X1: $i > ( $i > $i ) > $o] :
( ( ^ [Y0: $i > ( $i > $i ) > $o] : ( epsii @ ( Y0 @ ( epsa @ Y0 ) ) )
@ X1 )
= ( epsb @ X1 ) )
| ~ spl3_4 ),
inference(argument_congruence,[],[f48]) ).
thf(f78,plain,
( ! [X1: $i > ( $i > $i ) > $o] :
( ( epsii @ ( X1 @ ( epsa @ X1 ) ) )
= ( epsb @ X1 ) )
| ~ spl3_4 ),
inference(beta-eta_normalization,[],[f77]) ).
thf(f93,plain,
( ! [X0: $i > ( $i > $i ) > $o,X1: $i] :
( ( ( ^ [Y0: $i] : ( ?? @ ( $i > $i ) @ ( X0 @ Y0 ) )
@ X1 )
!= $true )
| ( ( ^ [Y0: $i] : ( ?? @ ( $i > $i ) @ ( X0 @ Y0 ) )
@ ( epsa @ X0 ) )
= $true ) )
| ~ spl3_1 ),
inference(superposition,[],[f25,f76]) ).
thf(f94,plain,
( ! [X0: $i > ( $i > $i ) > $o,X1: $i] :
( ( ( ?? @ ( $i > $i ) @ ( X0 @ ( epsa @ X0 ) ) )
= $true )
| ( ( ?? @ ( $i > $i ) @ ( X0 @ X1 ) )
!= $true ) )
| ~ spl3_1 ),
inference(beta-eta_normalization,[],[f93]) ).
thf(f95,plain,
( ! [X0: $i > ( $i > $i ) > $o,X1: $i] :
( ( ( X0 @ ( epsa @ X0 ) @ ( sK4 @ X0 ) )
= $true )
| ( ( ?? @ ( $i > $i ) @ ( X0 @ X1 ) )
!= $true ) )
| ~ spl3_1 ),
inference(sigma_proxy_clausification,[],[f94]) ).
thf(f96,plain,
( ! [X2: $i > $i,X0: $i > ( $i > $i ) > $o,X1: $i] :
( ( ( X0 @ ( epsa @ X0 ) @ ( sK4 @ X0 ) )
= $true )
| ( ( X0 @ X1 @ X2 )
= $false ) )
| ~ spl3_1 ),
inference(pi_proxy_clausification,[],[f95]) ).
thf(f100,plain,
! [X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( $false
= ( ^ [Y0: $i > $i] :
~ ( X3 @ Y0 )
@ ( epsii
@ ^ [Y0: $i > $i] :
~ ( ^ [Y1: $i > $i] :
~ ( X3 @ Y1 )
@ Y0 ) ) ) )
| ( ( ^ [Y0: $i > $i] :
~ ( X3 @ Y0 )
@ X1 )
= $true ) ),
inference(primitive_instantiation,[],[f70]) ).
thf(f103,plain,
! [X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( $true
= ( ~ ( X3 @ X1 ) ) )
| ( $false
= ( ~ ( X3
@ ( epsii
@ ^ [Y0: $i > $i] :
~ ~ ( X3 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f100]) ).
thf(f104,plain,
! [X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( $false
= ( ~ ( X3
@ ( epsii
@ ^ [Y0: $i > $i] :
~ ~ ( X3 @ Y0 ) ) ) ) )
| ( ( X3 @ X1 )
= $false ) ),
inference(not_proxy_clausification,[],[f103]) ).
thf(f105,plain,
! [X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( ( X3 @ X1 )
= $false )
| ( ( X3
@ ( epsii
@ ^ [Y0: $i > $i] :
~ ~ ( X3 @ Y0 ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f104]) ).
thf(f106,plain,
! [X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( ( X3
@ ( epsii
@ ^ [Y0: $i > $i] : ( X3 @ Y0 ) ) )
= $true )
| ( ( X3 @ X1 )
= $false ) ),
inference(boolean_simplification,[],[f105]) ).
thf(f107,plain,
! [X3: ( $i > $i ) > $o,X1: $i > $i] :
( ( $true
= ( X3 @ ( epsii @ X3 ) ) )
| ( ( X3 @ X1 )
= $false ) ),
inference(beta-eta_normalization,[],[f106]) ).
thf(f143,plain,
( ! [X0: $i > ( $i > $i ) > $o,X1: $i > $i] :
( ( ( X0 @ ( epsa @ X0 ) @ ( epsb @ X0 ) )
= $true )
| ( ( X0 @ ( epsa @ X0 ) @ X1 )
= $false ) )
| ~ spl3_4 ),
inference(superposition,[],[f107,f78]) ).
thf(f194,plain,
( ! [X0: $i > $i] :
( ( $true != $true )
| ( $false
= ( sK0 @ ( epsa @ sK0 ) @ X0 ) ) )
| spl3_3
| ~ spl3_4 ),
inference(superposition,[],[f43,f143]) ).
thf(f196,plain,
( ! [X0: $i > $i] :
( $false
= ( sK0 @ ( epsa @ sK0 ) @ X0 ) )
| spl3_3
| ~ spl3_4 ),
inference(trivial_inequality_removal,[],[f194]) ).
thf(f202,plain,
( ! [X0: $i,X1: $i > $i] :
( ( $false
= ( sK0 @ X0 @ X1 ) )
| ( $false = $true ) )
| ~ spl3_1
| spl3_3
| ~ spl3_4 ),
inference(superposition,[],[f196,f96]) ).
thf(f215,plain,
( ! [X0: $i,X1: $i > $i] :
( $false
= ( sK0 @ X0 @ X1 ) )
| ~ spl3_1
| spl3_3
| ~ spl3_4 ),
inference(trivial_inequality_removal,[],[f202]) ).
thf(f239,plain,
( ( $false = $true )
| ~ spl3_1
| ~ spl3_2
| spl3_3
| ~ spl3_4 ),
inference(superposition,[],[f38,f215]) ).
thf(f259,plain,
( $false
| ~ spl3_1
| ~ spl3_2
| spl3_3
| ~ spl3_4 ),
inference(trivial_inequality_removal,[],[f239]) ).
thf(f260,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f259]) ).
cnf(s1,plain,
spl3_1,
inference(sat_conversion,[],[f34]) ).
cnf(s2,plain,
spl3_2,
inference(sat_conversion,[],[f39]) ).
cnf(s3,plain,
~ spl3_3,
inference(sat_conversion,[],[f44]) ).
cnf(s4,plain,
spl3_4,
inference(sat_conversion,[],[f49]) ).
cnf(s6,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3
| ~ spl3_4 ),
inference(sat_conversion,[],[f260]) ).
cnf(s7,plain,
~ spl3_1,
inference(rat,[],[s6,s4,s3,s2]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s7]) ).
thf(f266,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO535^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n007.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 17:11:26 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 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
% 0.21/0.29 % (3666469)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.29 % (3666475)lrs+10_16_si=on:nwc=1.5:random_seed=2032788308:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.29 % (3666477)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=3051430138:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.21/0.29 % (3666474)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=120144300:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.29 % (3666476)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=634542298:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.29 % (3666475)Instruction limit reached!
% 0.21/0.29 % (3666475)------------------------------
% 0.21/0.29 % (3666475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (3666475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (3666475)CaDiCaL version: 2.1.3
% 0.21/0.29 % (3666475)Termination reason: Instruction limit
% 0.21/0.29 % (3666475)Termination phase: Saturation
% 0.21/0.29 % (3666475)Time elapsed: 0.007 s
% 0.21/0.29 % (3666475)Peak memory usage: 12 MB
% 0.21/0.29 % (3666475)Instructions burned: 21 (million)
% 0.21/0.29 % (3666476)Refutation not found, incomplete strategy
% 0.21/0.29 % (3666476)------------------------------
% 0.21/0.29 % (3666476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (3666476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (3666476)CaDiCaL version: 2.1.3
% 0.21/0.29 % (3666476)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.29 % (3666476)Time elapsed: 0.003 s
% 0.21/0.29 % (3666476)Peak memory usage: 12 MB
% 0.21/0.29 % (3666476)Instructions burned: 3 (million)
% 0.21/0.29 % (3666476)------------------------------
% 0.21/0.29 % (3666476)------------------------------
% 0.21/0.29 % (3666474)Refutation not found, incomplete strategy
% 0.21/0.29 % (3666474)------------------------------
% 0.21/0.29 % (3666474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (3666474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (3666474)CaDiCaL version: 2.1.3
% 0.21/0.29 % (3666474)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.29 % (3666474)Time elapsed: 0.006 s
% 0.21/0.29 % (3666474)Peak memory usage: 12 MB
% 0.21/0.29 % (3666474)Instructions burned: 8 (million)
% 0.21/0.29 % (3666474)------------------------------
% 0.21/0.29 % (3666474)------------------------------
% 0.21/0.29 % (3666477) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3666469-3666477"...
% 0.21/0.29 % (3666477)...printing done.
% 0.21/0.29 % (3666485)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=743098687:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.29 % (3666477)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Theorem for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.30 % (3666477)------------------------------
% 0.21/0.30 % (3666477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (3666477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (3666477)CaDiCaL version: 2.1.3
% 0.21/0.30 % (3666477)Termination reason: Refutation
% 0.21/0.30 % (3666477)Time elapsed: 0.011 s
% 0.21/0.30 % (3666477)Peak memory usage: 13 MB
% 0.21/0.30 % (3666477)Instructions burned: 15 (million)
% 0.21/0.30 % (3666469)Success in time 0.049 s
% 0.21/0.30 % Vampire exiting
%------------------------------------------------------------------------------