%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU676^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 08:30:42 AM UTC 2026
% Result : Theorem 0.22s 0.31s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 70 ( 25 unt; 0 typ; 8 def)
% Number of atoms : 521 ( 120 equ; 0 cnn)
% Maximal formula atoms : 8 ( 7 avg)
% Number of connectives : 590 ( 81 ~; 69 |; 27 &; 376 @)
% ( 12 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 49 ( 46 usr; 23 con; 0-4 aty)
% Number of variables : 108 ( 0 sgn 86 !; 22 ?; 108 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_2,type,
setadjoin: $i > $i > $i ).
thf(func_def_3,type,
powerset: $i > $i ).
thf(func_def_4,type,
setunion: $i > $i ).
thf(func_def_5,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_6,type,
subset: $i > $i > $o ).
thf(func_def_7,type,
kpair: $i > $i > $i ).
thf(func_def_8,type,
cartprod: $i > $i > $i ).
thf(func_def_9,type,
singleton: $i > $o ).
thf(func_def_11,type,
ex1: $i > ( $i > $o ) > $o ).
thf(func_def_12,type,
breln: $i > $i > $i > $o ).
thf(func_def_13,type,
func: $i > $i > $i > $o ).
thf(func_def_14,type,
funcSet: $i > $i > $i ).
thf(func_def_15,type,
ap: $i > $i > $i > $i > $i ).
thf(func_def_16,type,
app: $o ).
thf(func_def_17,type,
infuncsetfunc: $o ).
thf(func_def_20,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_21,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_22,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_23,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_24,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_25,type,
vAND: $o > $o > $o ).
thf(func_def_26,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_27,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_28,type,
vIMP: $o > $o > $o ).
thf(func_def_29,type,
db3:
!>[X0: $tType] : X0 ).
thf(f7,axiom,
( app
= ( ! [X1: $i,X2: $i,X0: $i] :
( ( func @ X0 @ X1 @ X2 )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( in @ ( ap @ X0 @ X1 @ X2 @ X3 ) @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',app) ).
thf(f8,axiom,
! [X0: $i,X2: $i,X1: $i] :
( ( ( in @ X2 @ ( funcSet @ X0 @ X1 ) )
=> ( func @ X0 @ X1 @ X2 ) )
= infuncsetfunc ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infuncsetfunc) ).
thf(f9,conjecture,
( app
=> ( infuncsetfunc
=> ! [X2: $i,X0: $i,X1: $i] :
( ( in @ X2 @ ( funcSet @ X0 @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( in @ ( ap @ X0 @ X1 @ X2 @ X3 ) @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap2p) ).
thf(f10,negated_conjecture,
~ ( app
=> ( infuncsetfunc
=> ! [X2: $i,X0: $i,X1: $i] :
( ( in @ X2 @ ( funcSet @ X0 @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( in @ ( ap @ X0 @ X1 @ X2 @ X3 ) @ X1 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
thf(f11,plain,
~ ( app
=> ( infuncsetfunc
=> ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ ( funcSet @ X1 @ X2 ) )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ ( ap @ X1 @ X2 @ X0 @ X3 ) @ X2 ) ) ) ) ),
inference(rectify,[],[f10]) ).
thf(f12,plain,
~ ( ( app = $true )
=> ( ( infuncsetfunc = $true )
=> ! [X0: $i,X2: $i,X1: $i] :
( ( ( in @ X0 @ ( funcSet @ X1 @ X2 ) )
= $true )
=> ! [X3: $i] :
( ( ( in @ X3 @ X1 )
= $true )
=> ( ( in @ ( ap @ X1 @ X2 @ X0 @ X3 ) @ X2 )
= $true ) ) ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f24,plain,
( app
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( func @ X2 @ X0 @ X1 )
=> ! [X3: $i] :
( ( in @ X3 @ X2 )
=> ( in @ ( ap @ X2 @ X0 @ X1 @ X3 ) @ X0 ) ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f25,plain,
( ( app = $true )
<=> ! [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( func @ X2 @ X0 @ X1 ) )
=> ! [X3: $i] :
( ( ( in @ X3 @ X2 )
= $true )
=> ( ( in @ ( ap @ X2 @ X0 @ X1 @ X3 ) @ X0 )
= $true ) ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f26,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X1 @ ( funcSet @ X0 @ X2 ) )
=> ( func @ X0 @ X2 @ X1 ) )
= infuncsetfunc ),
inference(rectify,[],[f8]) ).
thf(f27,plain,
( ! [X1: $i,X0: $i,X2: $i] :
( ( ( in @ X1 @ ( funcSet @ X0 @ X2 ) )
= $true )
=> ( ( func @ X0 @ X2 @ X1 )
= $true ) )
<=> ( infuncsetfunc = $true ) ),
inference(fool_elimination,[],[f26]) ).
thf(f28,plain,
( ( app = $true )
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( func @ X2 @ X0 @ X1 ) )
| ! [X3: $i] :
( ( ( in @ ( ap @ X2 @ X0 @ X1 @ X3 ) @ X0 )
= $true )
| ( ( in @ X3 @ X2 )
!= $true ) ) ) ),
inference(ennf_transformation,[],[f25]) ).
thf(f29,plain,
( ( infuncsetfunc = $true )
<=> ! [X0: $i,X2: $i,X1: $i] :
( ( ( func @ X0 @ X2 @ X1 )
= $true )
| ( ( in @ X1 @ ( funcSet @ X0 @ X2 ) )
!= $true ) ) ),
inference(ennf_transformation,[],[f27]) ).
thf(f30,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ ( funcSet @ X1 @ X2 ) )
= $true )
& ? [X3: $i] :
( ( ( in @ ( ap @ X1 @ X2 @ X0 @ X3 ) @ X2 )
!= $true )
& ( ( in @ X3 @ X1 )
= $true ) ) )
& ( infuncsetfunc = $true )
& ( app = $true ) ),
inference(ennf_transformation,[],[f12]) ).
thf(f31,plain,
( ( app = $true )
& ( infuncsetfunc = $true )
& ? [X0: $i,X1: $i,X2: $i] :
( ( ( in @ X0 @ ( funcSet @ X1 @ X2 ) )
= $true )
& ? [X3: $i] :
( ( ( in @ ( ap @ X1 @ X2 @ X0 @ X3 ) @ X2 )
!= $true )
& ( ( in @ X3 @ X1 )
= $true ) ) ) ),
inference(flattening,[],[f30]) ).
thf(f32,plain,
( ( ( app = $true )
| ? [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( func @ X2 @ X0 @ X1 ) )
& ? [X3: $i] :
( ( ( in @ ( ap @ X2 @ X0 @ X1 @ X3 ) @ X0 )
!= $true )
& ( ( in @ X3 @ X2 )
= $true ) ) ) )
& ( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( func @ X2 @ X0 @ X1 ) )
| ! [X3: $i] :
( ( ( in @ ( ap @ X2 @ X0 @ X1 @ X3 ) @ X0 )
= $true )
| ( ( in @ X3 @ X2 )
!= $true ) ) )
| ( app != $true ) ) ),
inference(nnf_transformation,[],[f28]) ).
thf(f33,plain,
( ( ( app = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( func @ X0 @ X1 @ X2 )
= $true )
& ? [X3: $i] :
( ( ( in @ ( ap @ X0 @ X1 @ X2 @ X3 ) @ X1 )
!= $true )
& ( ( in @ X3 @ X0 )
= $true ) ) ) )
& ( ! [X4: $i,X5: $i,X6: $i] :
( ( ( func @ X4 @ X5 @ X6 )
!= $true )
| ! [X7: $i] :
( ( ( in @ ( ap @ X4 @ X5 @ X6 @ X7 ) @ X5 )
= $true )
| ( ( in @ X7 @ X4 )
!= $true ) ) )
| ( app != $true ) ) ),
inference(rectify,[],[f32]) ).
thf(f34,plain,
( ( ( app = $true )
| ( ( ( func @ sK0 @ sK1 @ sK2 )
= $true )
& ( ( in @ ( ap @ sK0 @ sK1 @ sK2 @ sK3 ) @ sK1 )
!= $true )
& ( ( in @ sK3 @ sK0 )
= $true ) ) )
& ( ! [X4: $i,X5: $i,X6: $i] :
( ( ( func @ X4 @ X5 @ X6 )
!= $true )
| ! [X7: $i] :
( ( ( in @ ( ap @ X4 @ X5 @ X6 @ X7 ) @ X5 )
= $true )
| ( ( in @ X7 @ X4 )
!= $true ) ) )
| ( app != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f33]) ).
thf(f35,plain,
( ( app = $true )
& ( infuncsetfunc = $true )
& ( ( in @ sK4 @ ( funcSet @ sK5 @ sK6 ) )
= $true )
& ( ( in @ ( ap @ sK5 @ sK6 @ sK4 @ sK7 ) @ sK6 )
!= $true )
& ( ( in @ sK7 @ sK5 )
= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6),skolemize(X3,sK7)],[f31]) ).
thf(f36,plain,
( ( ( infuncsetfunc = $true )
| ? [X0: $i,X2: $i,X1: $i] :
( ( ( func @ X0 @ X2 @ X1 )
!= $true )
& ( ( in @ X1 @ ( funcSet @ X0 @ X2 ) )
= $true ) ) )
& ( ! [X0: $i,X2: $i,X1: $i] :
( ( ( func @ X0 @ X2 @ X1 )
= $true )
| ( ( in @ X1 @ ( funcSet @ X0 @ X2 ) )
!= $true ) )
| ( infuncsetfunc != $true ) ) ),
inference(nnf_transformation,[],[f29]) ).
thf(f37,plain,
( ( ( infuncsetfunc = $true )
| ? [X0: $i,X1: $i,X2: $i] :
( ( ( func @ X0 @ X1 @ X2 )
!= $true )
& ( ( in @ X2 @ ( funcSet @ X0 @ X1 ) )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( func @ X3 @ X4 @ X5 ) )
| ( ( in @ X5 @ ( funcSet @ X3 @ X4 ) )
!= $true ) )
| ( infuncsetfunc != $true ) ) ),
inference(rectify,[],[f36]) ).
thf(f38,plain,
( ( ( infuncsetfunc = $true )
| ( ( ( func @ sK8 @ sK9 @ sK10 )
!= $true )
& ( ( in @ sK10 @ ( funcSet @ sK8 @ sK9 ) )
= $true ) ) )
& ( ! [X3: $i,X4: $i,X5: $i] :
( ( $true
= ( func @ X3 @ X4 @ X5 ) )
| ( ( in @ X5 @ ( funcSet @ X3 @ X4 ) )
!= $true ) )
| ( infuncsetfunc != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10)],[f37]) ).
thf(f40,plain,
! [X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( in @ ( ap @ X4 @ X5 @ X6 @ X7 ) @ X5 )
= $true )
| ( app != $true )
| ( ( func @ X4 @ X5 @ X6 )
!= $true )
| ( ( in @ X7 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f34]) ).
thf(f44,plain,
( ( in @ sK7 @ sK5 )
= $true ),
inference(cnf_transformation,[],[f35]) ).
thf(f45,plain,
( ( in @ ( ap @ sK5 @ sK6 @ sK4 @ sK7 ) @ sK6 )
!= $true ),
inference(cnf_transformation,[],[f35]) ).
thf(f46,plain,
( ( in @ sK4 @ ( funcSet @ sK5 @ sK6 ) )
= $true ),
inference(cnf_transformation,[],[f35]) ).
thf(f47,plain,
infuncsetfunc = $true,
inference(cnf_transformation,[],[f35]) ).
thf(f48,plain,
app = $true,
inference(cnf_transformation,[],[f35]) ).
thf(f54,plain,
! [X3: $i,X4: $i,X5: $i] :
( ( infuncsetfunc != $true )
| ( ( in @ X5 @ ( funcSet @ X3 @ X4 ) )
!= $true )
| ( $true
= ( func @ X3 @ X4 @ X5 ) ) ),
inference(cnf_transformation,[],[f38]) ).
thf(f61,definition,
( spl11_1
<=> ( infuncsetfunc = $true ) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
thf(f64,plain,
spl11_1,
inference(avatar_split_clause,[],[f47,f61]) ).
thf(f66,definition,
( spl11_2
<=> ( app = $true ) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
thf(f69,plain,
spl11_2,
inference(avatar_split_clause,[],[f48,f66]) ).
thf(f71,definition,
( spl11_3
<=> ! [X4: $i,X5: $i,X3: $i] :
( ( ( in @ X5 @ ( funcSet @ X3 @ X4 ) )
!= $true )
| ( $true
= ( func @ X3 @ X4 @ X5 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
thf(f72,plain,
( ! [X3: $i,X4: $i,X5: $i] :
( ( ( in @ X5 @ ( funcSet @ X3 @ X4 ) )
!= $true )
| ( $true
= ( func @ X3 @ X4 @ X5 ) ) )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f71]) ).
thf(f73,plain,
( ~ spl11_1
| spl11_3 ),
inference(avatar_split_clause,[],[f54,f71,f61]) ).
thf(f90,definition,
( spl11_7
<=> ( ( in @ ( ap @ sK5 @ sK6 @ sK4 @ sK7 ) @ sK6 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
thf(f92,plain,
( ( ( in @ ( ap @ sK5 @ sK6 @ sK4 @ sK7 ) @ sK6 )
!= $true )
| spl11_7 ),
inference(avatar_component_clause,[],[f90]) ).
thf(f93,plain,
~ spl11_7,
inference(avatar_split_clause,[],[f45,f90]) ).
thf(f100,definition,
( spl11_9
<=> ( ( in @ sK4 @ ( funcSet @ sK5 @ sK6 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
thf(f102,plain,
( ( ( in @ sK4 @ ( funcSet @ sK5 @ sK6 ) )
= $true )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f100]) ).
thf(f103,plain,
spl11_9,
inference(avatar_split_clause,[],[f46,f100]) ).
thf(f105,definition,
( spl11_10
<=> ( ( in @ sK7 @ sK5 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
thf(f107,plain,
( ( ( in @ sK7 @ sK5 )
= $true )
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f108,plain,
spl11_10,
inference(avatar_split_clause,[],[f44,f105]) ).
thf(f135,definition,
( spl11_16
<=> ! [X5: $i,X4: $i,X7: $i,X6: $i] :
( ( ( in @ ( ap @ X4 @ X5 @ X6 @ X7 ) @ X5 )
= $true )
| ( ( in @ X7 @ X4 )
!= $true )
| ( ( func @ X4 @ X5 @ X6 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl11_16])],[avatar_definition]) ).
thf(f136,plain,
( ! [X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( in @ ( ap @ X4 @ X5 @ X6 @ X7 ) @ X5 )
= $true )
| ( ( func @ X4 @ X5 @ X6 )
!= $true )
| ( ( in @ X7 @ X4 )
!= $true ) )
| ~ spl11_16 ),
inference(avatar_component_clause,[],[f135]) ).
thf(f137,plain,
( spl11_16
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f40,f66,f135]) ).
thf(f152,plain,
( ( ( func @ sK5 @ sK6 @ sK4 )
= $true )
| ( $true != $true )
| ~ spl11_3
| ~ spl11_9 ),
inference(superposition,[],[f72,f102]) ).
thf(f153,plain,
( ( ( func @ sK5 @ sK6 @ sK4 )
= $true )
| ~ spl11_3
| ~ spl11_9 ),
inference(trivial_inequality_removal,[],[f152]) ).
thf(f155,definition,
( spl11_19
<=> ( ( func @ sK5 @ sK6 @ sK4 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl11_19])],[avatar_definition]) ).
thf(f158,plain,
( spl11_19
| ~ spl11_3
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f153,f100,f71,f155]) ).
thf(f159,plain,
( ( $true != $true )
| ( ( in @ sK7 @ sK5 )
!= $true )
| ( ( func @ sK5 @ sK6 @ sK4 )
!= $true )
| spl11_7
| ~ spl11_16 ),
inference(superposition,[],[f92,f136]) ).
thf(f161,plain,
( ( ( func @ sK5 @ sK6 @ sK4 )
!= $true )
| ( ( in @ sK7 @ sK5 )
!= $true )
| spl11_7
| ~ spl11_16 ),
inference(trivial_inequality_removal,[],[f159]) ).
thf(f163,plain,
( ( ( func @ sK5 @ sK6 @ sK4 )
!= $true )
| spl11_7
| ~ spl11_10
| ~ spl11_16 ),
inference(forward_subsumption_resolution,[],[f161,f107]) ).
thf(f164,plain,
( ~ spl11_19
| spl11_7
| ~ spl11_10
| ~ spl11_16 ),
inference(avatar_split_clause,[],[f163,f135,f105,f90,f155]) ).
cnf(s1,plain,
spl11_1,
inference(sat_conversion,[],[f64]) ).
cnf(s2,plain,
spl11_2,
inference(sat_conversion,[],[f69]) ).
cnf(s3,plain,
( ~ spl11_1
| spl11_3 ),
inference(sat_conversion,[],[f73]) ).
cnf(s7,plain,
~ spl11_7,
inference(sat_conversion,[],[f93]) ).
cnf(s9,plain,
spl11_9,
inference(sat_conversion,[],[f103]) ).
cnf(s10,plain,
spl11_10,
inference(sat_conversion,[],[f108]) ).
cnf(s16,plain,
( ~ spl11_2
| spl11_16 ),
inference(sat_conversion,[],[f137]) ).
cnf(s19,plain,
( ~ spl11_3
| ~ spl11_9
| spl11_19 ),
inference(sat_conversion,[],[f158]) ).
cnf(s20,plain,
( spl11_7
| ~ spl11_10
| ~ spl11_16
| ~ spl11_19 ),
inference(sat_conversion,[],[f164]) ).
cnf(s21,plain,
spl11_16,
inference(rat,[],[s16,s2]) ).
cnf(s22,plain,
~ spl11_19,
inference(rat,[],[s20,s7,s10,s21]) ).
cnf(s23,plain,
~ spl11_3,
inference(rat,[],[s19,s9,s22]) ).
cnf(s24,plain,
~ spl11_1,
inference(rat,[],[s3,s23]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s1,s24]) ).
thf(f165,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU676^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n008.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
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 14:08:09 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
% 0.09/0.23 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
% 0.22/0.31 % (3212776)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.31 % (3212784)lrs+10_16_si=on:nwc=1.5:random_seed=3579165839:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.31 % (3212785)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3794981861:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.31 % (3212786)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=29928370: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)
% 0.22/0.31 % (3212785)Instruction limit reached!
% 0.22/0.31 % (3212785)------------------------------
% 0.22/0.31 % (3212785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.31 % (3212785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.31 % (3212785)CaDiCaL version: 2.1.3
% 0.22/0.31 % (3212785)Termination reason: Instruction limit
% 0.22/0.31 % (3212785)Termination phase: Function definition elimination
% 0.22/0.31 % (3212785)Time elapsed: 0.003 s
% 0.22/0.31 % (3212785)Peak memory usage: 10 MB
% 0.22/0.31 % (3212785)Instructions burned: 3 (million)
% 0.22/0.31 % (3212786) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3212776-3212786"...
% 0.22/0.31 % (3212786)...printing done.
% 0.22/0.31 % (3212786)Refutation found. Thanks to Tanya!
% 0.22/0.31 % SZS status Theorem for theBenchmark
% 0.22/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.32 % (3212786)------------------------------
% 0.22/0.32 % (3212786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (3212786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (3212786)CaDiCaL version: 2.1.3
% 0.22/0.32 % (3212786)Termination reason: Refutation
% 0.22/0.32 % (3212786)Time elapsed: 0.012 s
% 0.22/0.32 % (3212786)Peak memory usage: 13 MB
% 0.22/0.32 % (3212786)Instructions burned: 10 (million)
% 0.22/0.32 % (3212776)Success in time 0.07 s
% 0.22/0.32 % Vampire exiting
%------------------------------------------------------------------------------