%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU669^2 : 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 : n006.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 08:30:38 AM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 49 ( 37 unt; 0 typ; 0 def)
% Number of atoms : 324 ( 70 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 616 ( 8 ~; 4 |; 30 &; 491 @)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 25 usr; 10 con; 0-4 aty)
% ( 39 !!; 8 ??; 0 @@+; 0 @@-)
% Number of variables : 193 ( 101 ^; 73 !; 19 ?; 193 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_2,type,
dsetconstrEL: $o ).
thf(func_def_4,type,
kpair: $i > $i > $i ).
thf(func_def_5,type,
cartprod: $i > $i > $i ).
thf(func_def_6,type,
cartprodpairmemEL: $o ).
thf(func_def_7,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_10,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_13,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_14,type,
vIMP: $o > $o > $o ).
thf(func_def_15,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_18,type,
vAND: $o > $o > $o ).
thf(func_def_19,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_20,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_25,type,
sK4: $i > $i > $o ).
thf(func_def_26,type,
vNOT: $o > $o ).
thf(f1,axiom,
( dsetconstrEL
= ( ! [X0: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
=> ( in @ X2 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrEL) ).
thf(f2,axiom,
( cartprodpairmemEL
= ( ! [X3: $i,X1: $i,X2: $i,X0: $i] :
( ( in @ ( kpair @ X2 @ X3 ) @ ( cartprod @ X0 @ X1 ) )
=> ( in @ X2 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartprodpairmemEL) ).
thf(f3,axiom,
( dpsetconstr
= ( ^ [X0: $i,X1: $i,X2: $i > $i > $o] :
( dsetconstr @ ( cartprod @ X0 @ X1 )
@ ^ [X3: $i] :
? [X4: $i] :
( ? [X5: $i] :
( ( in @ X5 @ X1 )
& ( X3
= ( kpair @ X4 @ X5 ) )
& ( X2 @ X4 @ X5 ) )
& ( in @ X4 @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dpsetconstr) ).
thf(f4,conjecture,
( dsetconstrEL
=> ( cartprodpairmemEL
=> ! [X0: $i,X2: $i > $i > $o,X3: $i,X4: $i,X1: $i] :
( ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [X5: $i,X6: $i] : ( X2 @ X5 @ X6 ) ) )
=> ( in @ X3 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dpsetconstrEL1) ).
thf(f5,negated_conjecture,
~ ( dsetconstrEL
=> ( cartprodpairmemEL
=> ! [X0: $i,X2: $i > $i > $o,X3: $i,X4: $i,X1: $i] :
( ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [X5: $i,X6: $i] : ( X2 @ X5 @ X6 ) ) )
=> ( in @ X3 @ X0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f6,plain,
~ ( dsetconstrEL
=> ( cartprodpairmemEL
=> ! [X0: $i,X1: $i > $i > $o,X2: $i,X3: $i,X4: $i] :
( ( in @ ( kpair @ X2 @ X3 )
@ ( dpsetconstr @ X0 @ X4
@ ^ [X5: $i,X6: $i] : ( X1 @ X5 @ X6 ) ) )
=> ( in @ X2 @ X0 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f7,plain,
~ ( ( dsetconstrEL = $true )
=> ( ( cartprodpairmemEL = $true )
=> ! [X0: $i,X1: $i > $i > $o,X3: $i,X2: $i,X4: $i] :
( ( $true
= ( in @ ( kpair @ X2 @ X3 )
@ ( dpsetconstr @ X0 @ X4
@ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) ) ) )
=> ( ( in @ X2 @ X0 )
= $true ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
( cartprodpairmemEL
= ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( kpair @ X2 @ X0 ) @ ( cartprod @ X3 @ X1 ) )
=> ( in @ X2 @ X3 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f9,plain,
( cartprodpairmemEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( in @ ( kpair @ Y1 @ Y3 ) @ ( cartprod @ Y0 @ Y2 ) )
=> ( in @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
( dsetconstrEL
= ( ! [X0: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
=> ( in @ X2 @ X0 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f11,plain,
( dsetconstrEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
( dpsetconstr
= ( ^ [X0: $i,X1: $i,X2: $i > $i > $o] :
( dsetconstr @ ( cartprod @ X0 @ X1 )
@ ^ [X3: $i] :
? [X4: $i] :
( ? [X5: $i] :
( ( in @ X5 @ X1 )
& ( X3
= ( kpair @ X4 @ X5 ) )
& ( X2 @ X4 @ X5 ) )
& ( in @ X4 @ X0 ) ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f13,plain,
( dpsetconstr
= ( ^ [Y0: $i,Y1: $i,Y2: $i > $i > $o] :
( dsetconstr @ ( cartprod @ Y0 @ Y1 )
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
& ( ( kpair @ Y4 @ Y5 )
= Y3 )
& ( in @ Y5 @ Y1 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
( ? [X4: $i,X0: $i,X3: $i,X2: $i,X1: $i > $i > $o] :
( ( ( in @ X2 @ X0 )
!= $true )
& ( $true
= ( in @ ( kpair @ X2 @ X3 )
@ ( dpsetconstr @ X0 @ X4
@ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) ) ) ) )
& ( cartprodpairmemEL = $true )
& ( dsetconstrEL = $true ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f15,plain,
( ( dsetconstrEL = $true )
& ? [X4: $i,X0: $i,X3: $i,X2: $i,X1: $i > $i > $o] :
( ( ( in @ X2 @ X0 )
!= $true )
& ( $true
= ( in @ ( kpair @ X2 @ X3 )
@ ( dpsetconstr @ X0 @ X4
@ ^ [Y0: $i,Y1: $i] : ( X1 @ Y0 @ Y1 ) ) ) ) )
& ( cartprodpairmemEL = $true ) ),
inference(flattening,[],[f14]) ).
thf(f16,plain,
( ( dsetconstrEL = $true )
& ? [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i > $i > $o] :
( ( $true
!= ( in @ X3 @ X1 ) )
& ( $true
= ( in @ ( kpair @ X3 @ X2 )
@ ( dpsetconstr @ X1 @ X0
@ ^ [Y0: $i,Y1: $i] : ( X4 @ Y0 @ Y1 ) ) ) ) )
& ( cartprodpairmemEL = $true ) ),
inference(rectify,[],[f15]) ).
thf(f17,plain,
( ( dsetconstrEL = $true )
& ( ( in @ sK3 @ sK1 )
!= $true )
& ( $true
= ( in @ ( kpair @ sK3 @ sK2 )
@ ( dpsetconstr @ sK1 @ sK0
@ ^ [Y0: $i,Y1: $i] : ( sK4 @ Y0 @ Y1 ) ) ) )
& ( cartprodpairmemEL = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f16]) ).
thf(f18,plain,
( cartprodpairmemEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( in @ ( kpair @ Y1 @ Y3 ) @ ( cartprod @ Y0 @ Y2 ) )
=> ( in @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f19,plain,
( dsetconstrEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f20,plain,
( dpsetconstr
= ( ^ [Y0: $i,Y1: $i,Y2: $i > $i > $o] :
( dsetconstr @ ( cartprod @ Y0 @ Y1 )
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
& ( ( kpair @ Y4 @ Y5 )
= Y3 )
& ( in @ Y5 @ Y1 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f21,plain,
cartprodpairmemEL = $true,
inference(cnf_transformation,[],[f17]) ).
thf(f22,plain,
( $true
= ( in @ ( kpair @ sK3 @ sK2 )
@ ( dpsetconstr @ sK1 @ sK0
@ ^ [Y0: $i,Y1: $i] : ( sK4 @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f23,plain,
( ( in @ sK3 @ sK1 )
!= $true ),
inference(cnf_transformation,[],[f17]) ).
thf(f24,plain,
dsetconstrEL = $true,
inference(cnf_transformation,[],[f17]) ).
thf(f27,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( in @ ( kpair @ Y1 @ Y3 ) @ ( cartprod @ Y0 @ Y2 ) )
=> ( in @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f18,f21]) ).
thf(f28,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ),
inference(definition_unfolding,[],[f19,f24]) ).
thf(f29,plain,
( $true
= ( in @ ( kpair @ sK3 @ sK2 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i > $i > $o] :
( dsetconstr @ ( cartprod @ Y0 @ Y1 )
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
& ( ( kpair @ Y4 @ Y5 )
= Y3 )
& ( in @ Y5 @ Y1 ) ) ) ) ) )
@ sK1
@ sK0
@ ^ [Y0: $i,Y1: $i] : ( sK4 @ Y0 @ Y1 ) ) ) ),
inference(definition_unfolding,[],[f22,f20]) ).
thf(f30,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y0 @ Y2 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f28]) ).
thf(f31,plain,
! [X1: $i] :
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ ( dsetconstr @ Y1 @ Y0 ) )
=> ( in @ X1 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f30]) ).
thf(f32,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ ( dsetconstr @ Y1 @ Y0 ) )
=> ( in @ X1 @ Y1 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f31]) ).
thf(f33,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ ( dsetconstr @ Y0 @ X2 ) )
=> ( in @ X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f32]) ).
thf(f34,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ ( dsetconstr @ Y0 @ X2 ) )
=> ( in @ X1 @ Y0 ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f33]) ).
thf(f35,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( $true
= ( ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) )
=> ( in @ X1 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f36,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) ) )
| ( $true
= ( in @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f35]) ).
thf(f37,plain,
( $true
= ( in @ ( kpair @ sK3 @ sK2 )
@ ( dsetconstr @ ( cartprod @ sK1 @ sK0 )
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ sK1 )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( sK4 @ Y1 @ Y2 )
& ( ( kpair @ Y1 @ Y2 )
= Y0 )
& ( in @ Y2 @ sK0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f29]) ).
thf(f38,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( in @ ( kpair @ Y1 @ Y3 ) @ ( cartprod @ Y0 @ Y2 ) )
=> ( in @ Y1 @ Y0 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f27]) ).
thf(f39,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ ( kpair @ Y0 @ Y2 ) @ ( cartprod @ X1 @ Y1 ) )
=> ( in @ Y0 @ X1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f40,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ ( kpair @ Y0 @ Y2 ) @ ( cartprod @ X1 @ Y1 ) )
=> ( in @ Y0 @ X1 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ ( kpair @ X2 @ Y1 ) @ ( cartprod @ X1 @ Y0 ) )
=> ( in @ X2 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f40]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ ( kpair @ X2 @ Y1 ) @ ( cartprod @ X1 @ Y0 ) )
=> ( in @ X2 @ X1 ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f41]) ).
thf(f43,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ ( kpair @ X2 @ Y0 ) @ ( cartprod @ X1 @ X3 ) )
=> ( in @ X2 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f42]) ).
thf(f44,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ ( kpair @ X2 @ Y0 ) @ ( cartprod @ X1 @ X3 ) )
=> ( in @ X2 @ X1 ) )
@ X4 ) ),
inference(pi_proxy_clausification,[],[f43]) ).
thf(f45,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( $true
= ( ( in @ ( kpair @ X2 @ X4 ) @ ( cartprod @ X1 @ X3 ) )
=> ( in @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f44]) ).
thf(f46,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( in @ ( kpair @ X2 @ X4 ) @ ( cartprod @ X1 @ X3 ) ) )
| ( $true
= ( in @ X2 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f45]) ).
thf(f48,plain,
( ( $true = $false )
| ( $true
= ( in @ ( kpair @ sK3 @ sK2 ) @ ( cartprod @ sK1 @ sK0 ) ) ) ),
inference(constrained_superposition,[],[f36,f37]) ).
thf(f49,plain,
( $true
= ( in @ ( kpair @ sK3 @ sK2 ) @ ( cartprod @ sK1 @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f48]) ).
thf(f51,plain,
( ( $true = $false )
| ( ( in @ sK3 @ sK1 )
= $true ) ),
inference(constrained_superposition,[],[f49,f46]) ).
thf(f53,plain,
( ( in @ sK3 @ sK1 )
= $true ),
inference(trivial_inequality_removal,[],[f51]) ).
thf(f55,plain,
$false,
inference(forward_subsumption_resolution,[],[f53,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU669^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n006.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 14:06:55 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.23 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
% 0.19/0.27 % (772859)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.19/0.27 % (772865)lrs+10_16_si=on:nwc=1.5:random_seed=1946209177:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.19/0.27 % (772865) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-772859-772865"...
% 0.19/0.27 % (772865)...printing done.
% 0.19/0.27 % (772865)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (772865)------------------------------
% 0.19/0.27 % (772865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (772865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (772865)CaDiCaL version: 2.1.3
% 0.19/0.27 % (772865)Termination reason: Refutation
% 0.19/0.27 % (772865)Time elapsed: 0.003 s
% 0.19/0.27 % (772865)Peak memory usage: 12 MB
% 0.19/0.27 % (772865)Instructions burned: 8 (million)
% 0.19/0.27 % (772859)Success in time 0.032 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------