%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU648^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 08:30:30 AM UTC 2026
% Result : Theorem 0.21s 0.27s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 65 ( 22 unt; 0 typ; 7 def)
% Number of atoms : 390 ( 81 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 656 ( 60 ~; 50 |; 12 &; 514 @)
% ( 9 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 26 ( 23 usr; 19 con; 0-4 aty)
% Number of variables : 94 ( 0 sgn 64 !; 16 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
setadjoin: $i > $i > $i ).
thf(func_def_2,type,
kpair: $i > $i > $i ).
thf(func_def_4,type,
setukpairinjL2: $o ).
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(f1,axiom,
( ( ^ [X0: $i,X1: $i] : ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) ) )
= kpair ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kpair) ).
thf(f2,axiom,
( setukpairinjL2
= ( ! [X1: $i,X0: $i,X3: $i,X2: $i] :
( ( ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X2 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) ) )
=> ( X0 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setukpairinjL2) ).
thf(f3,conjecture,
( setukpairinjL2
=> ! [X3: $i,X0: $i,X2: $i,X1: $i] :
( ( ( kpair @ X0 @ X1 )
= ( kpair @ X2 @ X3 ) )
=> ( X0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setukpairinjL) ).
thf(f4,negated_conjecture,
~ ( setukpairinjL2
=> ! [X3: $i,X0: $i,X2: $i,X1: $i] :
( ( ( kpair @ X0 @ X1 )
= ( kpair @ X2 @ X3 ) )
=> ( X0 = X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
thf(f5,plain,
( kpair
= ( ^ [Y0: $i,Y1: $i] : ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f6,plain,
( setukpairinjL2
= ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) )
=> ( X1 = X3 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f7,plain,
( ! [X1: $i,X3: $i,X0: $i,X2: $i] :
( ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) )
=> ( X1 = X3 ) )
<=> ( setukpairinjL2 = $true ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
~ ( setukpairinjL2
=> ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( kpair @ X2 @ X0 )
= ( kpair @ X1 @ X3 ) )
=> ( X1 = X2 ) ) ),
inference(rectify,[],[f4]) ).
thf(f9,plain,
~ ( ( setukpairinjL2 = $true )
=> ! [X1: $i,X0: $i,X2: $i,X3: $i] :
( ( ( kpair @ X2 @ X0 )
= ( kpair @ X1 @ X3 ) )
=> ( X1 = X2 ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
( ? [X3: $i,X0: $i,X1: $i,X2: $i] :
( ( ( kpair @ X2 @ X0 )
= ( kpair @ X1 @ X3 ) )
& ( X1 != X2 ) )
& ( setukpairinjL2 = $true ) ),
inference(ennf_transformation,[],[f9]) ).
thf(f11,plain,
( ! [X1: $i,X3: $i,X0: $i,X2: $i] :
( ( X1 = X3 )
| ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) ) )
<=> ( setukpairinjL2 = $true ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f12,plain,
( ? [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( kpair @ X2 @ X0 )
= ( kpair @ X3 @ X1 ) )
& ( X2 != X3 ) )
& ( setukpairinjL2 = $true ) ),
inference(rectify,[],[f10]) ).
thf(f13,plain,
( ( ( kpair @ sK3 @ sK1 )
= ( kpair @ sK2 @ sK0 ) )
& ( sK2 != sK3 )
& ( setukpairinjL2 = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f12]) ).
thf(f14,plain,
( ( ! [X1: $i,X3: $i,X0: $i,X2: $i] :
( ( X1 = X3 )
| ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) ) )
| ( setukpairinjL2 != $true ) )
& ( ( setukpairinjL2 = $true )
| ? [X1: $i,X3: $i,X0: $i,X2: $i] :
( ( X1 != X3 )
& ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X3 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) ) ) ) ),
inference(nnf_transformation,[],[f11]) ).
thf(f15,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) ) )
| ( setukpairinjL2 != $true ) )
& ( ( setukpairinjL2 = $true )
| ? [X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X4 != X5 )
& ( ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ X5 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X5 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) ) ) ) ),
inference(rectify,[],[f14]) ).
thf(f16,plain,
( ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) ) )
| ( setukpairinjL2 != $true ) )
& ( ( setukpairinjL2 = $true )
| ( ( sK4 != sK5 )
& ( ( setadjoin @ ( setadjoin @ sK5 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK5 @ ( setadjoin @ sK7 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ sK4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK4 @ ( setadjoin @ sK6 @ emptyset ) ) @ emptyset ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7)],[f15]) ).
thf(f17,plain,
( kpair
= ( ^ [Y0: $i,Y1: $i] : ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) ) ),
inference(cnf_transformation,[],[f5]) ).
thf(f18,plain,
setukpairinjL2 = $true,
inference(cnf_transformation,[],[f13]) ).
thf(f19,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f13]) ).
thf(f20,plain,
( ( kpair @ sK3 @ sK1 )
= ( kpair @ sK2 @ sK0 ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f23,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) )
| ( X0 = X1 )
| ( setukpairinjL2 != $true ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f26,definition,
( spl8_1
<=> ( setukpairinjL2 = $true ) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
thf(f29,plain,
spl8_1,
inference(avatar_split_clause,[],[f18,f26]) ).
thf(f36,definition,
( spl8_3
<=> ( kpair
= ( ^ [Y0: $i,Y1: $i] : ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
thf(f38,plain,
( ( kpair
= ( ^ [Y0: $i,Y1: $i] : ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) ) ) )
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f36]) ).
thf(f39,plain,
spl8_3,
inference(avatar_split_clause,[],[f17,f36]) ).
thf(f41,definition,
( spl8_4
<=> ( sK2 = sK3 ) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
thf(f43,plain,
( ( sK2 != sK3 )
| spl8_4 ),
inference(avatar_component_clause,[],[f41]) ).
thf(f44,plain,
~ spl8_4,
inference(avatar_split_clause,[],[f19,f41]) ).
thf(f51,definition,
( spl8_6
<=> ! [X0: $i,X3: $i,X2: $i,X1: $i] :
( ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) )
| ( X0 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
thf(f52,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X3 @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) )
| ( X0 = X1 ) )
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f51]) ).
thf(f53,plain,
( ~ spl8_1
| spl8_6 ),
inference(avatar_split_clause,[],[f23,f51,f26]) ).
thf(f55,definition,
( spl8_7
<=> ( ( kpair @ sK3 @ sK1 )
= ( kpair @ sK2 @ sK0 ) ) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
thf(f57,plain,
( ( ( kpair @ sK3 @ sK1 )
= ( kpair @ sK2 @ sK0 ) )
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f55]) ).
thf(f58,plain,
spl8_7,
inference(avatar_split_clause,[],[f20,f55]) ).
thf(f61,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i,Y1: $i] : ( setadjoin @ ( setadjoin @ Y0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ emptyset ) )
@ X1 )
= ( kpair @ X1 ) )
| ~ spl8_3 ),
inference(argument_congruence,[],[f38]) ).
thf(f62,plain,
( ! [X1: $i] :
( ( kpair @ X1 )
= ( ^ [Y0: $i] : ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) ) )
| ~ spl8_3 ),
inference(beta-eta_normalization,[],[f61]) ).
thf(f63,plain,
( ! [X2: $i,X1: $i] :
( ( kpair @ X1 @ X2 )
= ( ^ [Y0: $i] : ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) )
@ X2 ) )
| ~ spl8_3 ),
inference(argument_congruence,[],[f62]) ).
thf(f64,plain,
( ! [X2: $i,X1: $i] :
( ( kpair @ X1 @ X2 )
= ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X2 @ emptyset ) ) @ emptyset ) ) )
| ~ spl8_3 ),
inference(beta-eta_normalization,[],[f63]) ).
thf(f65,plain,
( ( ( kpair @ sK2 @ sK0 )
= ( setadjoin @ ( setadjoin @ sK3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK3 @ ( setadjoin @ sK1 @ emptyset ) ) @ emptyset ) ) )
| ~ spl8_3
| ~ spl8_7 ),
inference(superposition,[],[f64,f57]) ).
thf(f73,definition,
( spl8_8
<=> ( ( kpair @ sK2 @ sK0 )
= ( setadjoin @ ( setadjoin @ sK3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK3 @ ( setadjoin @ sK1 @ emptyset ) ) @ emptyset ) ) ) ),
introduced(definition,[new_symbols(definition,[spl8_8])],[avatar_definition]) ).
thf(f75,plain,
( ( ( kpair @ sK2 @ sK0 )
= ( setadjoin @ ( setadjoin @ sK3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK3 @ ( setadjoin @ sK1 @ emptyset ) ) @ emptyset ) ) )
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f73]) ).
thf(f76,plain,
( spl8_8
| ~ spl8_3
| ~ spl8_7 ),
inference(avatar_split_clause,[],[f65,f55,f36,f73]) ).
thf(f78,plain,
( ( ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK0 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ sK3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK3 @ ( setadjoin @ sK1 @ emptyset ) ) @ emptyset ) ) )
| ~ spl8_3
| ~ spl8_8 ),
inference(superposition,[],[f64,f75]) ).
thf(f80,definition,
( spl8_9
<=> ( ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK0 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ sK3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK3 @ ( setadjoin @ sK1 @ emptyset ) ) @ emptyset ) ) ) ),
introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).
thf(f82,plain,
( ( ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK0 @ emptyset ) ) @ emptyset ) )
= ( setadjoin @ ( setadjoin @ sK3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK3 @ ( setadjoin @ sK1 @ emptyset ) ) @ emptyset ) ) )
| ~ spl8_9 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f83,plain,
( spl8_9
| ~ spl8_3
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f78,f73,f36,f80]) ).
thf(f110,plain,
( ! [X0: $i,X1: $i] :
( ( ( setadjoin @ ( setadjoin @ X0 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X0 @ ( setadjoin @ X1 @ emptyset ) ) @ emptyset ) )
!= ( setadjoin @ ( setadjoin @ sK2 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sK2 @ ( setadjoin @ sK0 @ emptyset ) ) @ emptyset ) ) )
| ( sK3 = X0 ) )
| ~ spl8_6
| ~ spl8_9 ),
inference(superposition,[],[f52,f82]) ).
thf(f152,plain,
( ( sK2 = sK3 )
| ~ spl8_6
| ~ spl8_9 ),
inference(equality_resolution,[],[f110]) ).
thf(f162,plain,
( $false
| spl8_4
| ~ spl8_6
| ~ spl8_9 ),
inference(forward_subsumption_resolution,[],[f152,f43]) ).
thf(f163,plain,
( spl8_4
| ~ spl8_6
| ~ spl8_9 ),
inference(avatar_contradiction_clause,[],[f162]) ).
cnf(s1,plain,
spl8_1,
inference(sat_conversion,[],[f29]) ).
cnf(s3,plain,
spl8_3,
inference(sat_conversion,[],[f39]) ).
cnf(s4,plain,
~ spl8_4,
inference(sat_conversion,[],[f44]) ).
cnf(s6,plain,
( ~ spl8_1
| spl8_6 ),
inference(sat_conversion,[],[f53]) ).
cnf(s7,plain,
spl8_7,
inference(sat_conversion,[],[f58]) ).
cnf(s8,plain,
( ~ spl8_3
| ~ spl8_7
| spl8_8 ),
inference(sat_conversion,[],[f76]) ).
cnf(s10,plain,
( ~ spl8_3
| ~ spl8_8
| spl8_9 ),
inference(sat_conversion,[],[f83]) ).
cnf(s14,plain,
( spl8_4
| ~ spl8_6
| ~ spl8_9 ),
inference(sat_conversion,[],[f163]) ).
cnf(s15,plain,
spl8_8,
inference(rat,[],[s8,s7,s3]) ).
cnf(s16,plain,
spl8_9,
inference(rat,[],[s10,s3,s15]) ).
cnf(s18,plain,
~ spl8_6,
inference(rat,[],[s14,s4,s16]) ).
cnf(s19,plain,
~ spl8_1,
inference(rat,[],[s6,s18]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s1,s19]) ).
thf(f164,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU648^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n018.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 14:04:41 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.27 % (124458)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.27 % (124466)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=3690652384: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)
% 0.21/0.27 % (124466) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-124458-124466"...
% 0.21/0.27 % (124467)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3143710292:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.27 % (124463)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1397377053:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.27 % (124464)lrs+10_16_si=on:nwc=1.5:random_seed=2824239187:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.27 % (124465)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=224540660:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.27 % (124466)...printing done.
% 0.21/0.27 % (124466)Refutation found. Thanks to Tanya!
% 0.21/0.27 % SZS status Theorem for theBenchmark
% 0.21/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.27 % (124466)------------------------------
% 0.21/0.27 % (124466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (124466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (124466)CaDiCaL version: 2.1.3
% 0.21/0.27 % (124466)Termination reason: Refutation
% 0.21/0.27 % (124466)Time elapsed: 0.007 s
% 0.21/0.27 % (124466)Peak memory usage: 13 MB
% 0.21/0.27 % (124466)Instructions burned: 23 (million)
% 0.21/0.27 % (124458)Success in time 0.033 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------