%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU684^2 : 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 : n015.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 08:30:46 AM UTC 2026
% Result : Theorem 0.21s 0.36s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 55 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 562 ( 155 equ; 0 cnn)
% Maximal formula atoms : 8 ( 10 avg)
% Number of connectives : 683 ( 62 ~; 53 |; 36 &; 494 @)
% ( 6 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 42 ( 39 usr; 16 con; 0-4 aty)
% Number of variables : 181 ( 58 ^; 99 !; 24 ?; 181 :)
% 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,
setunion: $i > $i ).
thf(func_def_4,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_5,type,
dsetconstrER: $o ).
thf(func_def_7,type,
subset: $i > $i > $o ).
thf(func_def_8,type,
kpair: $i > $i > $i ).
thf(func_def_9,type,
cartprod: $i > $i > $i ).
thf(func_def_10,type,
singleton: $i > $o ).
thf(func_def_11,type,
ex1: $i > ( $i > $o ) > $o ).
thf(func_def_12,type,
theprop: $o ).
thf(func_def_13,type,
breln: $i > $i > $i > $o ).
thf(func_def_14,type,
func: $i > $i > $i > $o ).
thf(func_def_15,type,
funcImageSingleton: $o ).
thf(func_def_16,type,
ap: $i > $i > $i > $i > $i ).
thf(func_def_19,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_20,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_21,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_22,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_23,type,
vAND: $o > $o > $o ).
thf(func_def_24,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_25,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_26,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_27,type,
vIMP: $o > $o > $o ).
thf(func_def_28,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_34,type,
sK5: $i > $o ).
thf(func_def_41,type,
vNOT: $o > $o ).
thf(f1,axiom,
( dsetconstrER
= ( ! [X0: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
=> ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrER) ).
thf(f4,axiom,
( theprop
= ( ! [X0: $i] :
( ( singleton @ X0 )
=> ( in @ ( setunion @ X0 ) @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theprop) ).
thf(f7,axiom,
! [X2: $i,X1: $i,X0: $i] :
( ( ( func @ X0 @ X1 @ X2 )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( singleton
@ ( dsetconstr @ X1
@ ^ [X4: $i] : ( in @ ( kpair @ X3 @ X4 ) @ X2 ) ) ) ) )
= funcImageSingleton ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',funcImageSingleton) ).
thf(f8,axiom,
( ( ^ [X0: $i,X1: $i,X2: $i,X3: $i] :
( setunion
@ ( dsetconstr @ X1
@ ^ [X4: $i] : ( in @ ( kpair @ X3 @ X4 ) @ X2 ) ) ) )
= ap ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap) ).
thf(f9,conjecture,
( dsetconstrER
=> ( theprop
=> ( funcImageSingleton
=> ! [X2: $i,X0: $i,X1: $i] :
( ( func @ X0 @ X1 @ X2 )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( in @ ( kpair @ X3 @ ( ap @ X0 @ X1 @ X2 @ X3 ) ) @ X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',funcGraphProp1) ).
thf(f10,negated_conjecture,
~ ( dsetconstrER
=> ( theprop
=> ( funcImageSingleton
=> ! [X2: $i,X0: $i,X1: $i] :
( ( func @ X0 @ X1 @ X2 )
=> ! [X3: $i] :
( ( in @ X3 @ X0 )
=> ( in @ ( kpair @ X3 @ ( ap @ X0 @ X1 @ X2 @ X3 ) ) @ X2 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
thf(f11,plain,
( dsetconstrER
= ( ! [X0: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f12,plain,
( ! [X0: $i,X1: $i > $o,X2: $i] :
( ( $true
= ( in @ X2
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( X1 @ Y0 ) ) ) )
=> ( ( X1 @ X2 )
= $true ) )
<=> ( dsetconstrER = $true ) ),
inference(fool_elimination,[],[f11]) ).
thf(f15,plain,
~ ( dsetconstrER
=> ( theprop
=> ( funcImageSingleton
=> ! [X0: $i,X1: $i,X2: $i] :
( ( func @ X1 @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ ( kpair @ X3 @ ( ap @ X1 @ X2 @ X0 @ X3 ) ) @ X0 ) ) ) ) ) ),
inference(rectify,[],[f10]) ).
thf(f16,plain,
~ ( ( dsetconstrER = $true )
=> ( ( theprop = $true )
=> ( ( funcImageSingleton = $true )
=> ! [X1: $i,X0: $i,X2: $i] :
( ( $true
= ( func @ X1 @ X2 @ X0 ) )
=> ! [X3: $i] :
( ( ( in @ X3 @ X1 )
= $true )
=> ( $true
= ( in @ ( kpair @ X3 @ ( ap @ X1 @ X2 @ X0 @ X3 ) ) @ X0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f15]) ).
thf(f22,plain,
( theprop
= ( ! [X0: $i] :
( ( singleton @ X0 )
=> ( in @ ( setunion @ X0 ) @ X0 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f23,plain,
( ( theprop = $true )
<=> ! [X0: $i] :
( ( ( singleton @ X0 )
= $true )
=> ( ( in @ ( setunion @ X0 ) @ X0 )
= $true ) ) ),
inference(fool_elimination,[],[f22]) ).
thf(f24,plain,
( ( ^ [X0: $i,X1: $i,X2: $i,X3: $i] :
( setunion
@ ( dsetconstr @ X1
@ ^ [X4: $i] : ( in @ ( kpair @ X3 @ X4 ) @ X2 ) ) ) )
= ap ),
inference(rectify,[],[f8]) ).
thf(f25,plain,
( ap
= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i] :
( setunion
@ ( dsetconstr @ Y1
@ ^ [Y4: $i] : ( in @ ( kpair @ Y3 @ Y4 ) @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f26,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( func @ X2 @ X1 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X2 )
=> ( singleton
@ ( dsetconstr @ X1
@ ^ [X4: $i] : ( in @ ( kpair @ X3 @ X4 ) @ X0 ) ) ) ) )
= funcImageSingleton ),
inference(rectify,[],[f7]) ).
thf(f27,plain,
( ( funcImageSingleton = $true )
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( func @ X2 @ X1 @ X0 ) )
=> ! [X3: $i] :
( ( $true
= ( in @ X3 @ X2 ) )
=> ( $true
= ( singleton
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( in @ ( kpair @ X3 @ Y0 ) @ X0 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f26]) ).
thf(f28,plain,
( ! [X1: $i,X0: $i,X2: $i] :
( ( $true
!= ( func @ X2 @ X1 @ X0 ) )
| ! [X3: $i] :
( ( $true
= ( singleton
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( in @ ( kpair @ X3 @ Y0 ) @ X0 ) ) ) )
| ( $true
!= ( in @ X3 @ X2 ) ) ) )
<=> ( funcImageSingleton = $true ) ),
inference(ennf_transformation,[],[f27]) ).
thf(f29,plain,
( ( dsetconstrER = $true )
<=> ! [X0: $i,X1: $i > $o,X2: $i] :
( ( ( X1 @ X2 )
= $true )
| ( $true
!= ( in @ X2
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( X1 @ Y0 ) ) ) ) ) ),
inference(ennf_transformation,[],[f12]) ).
thf(f30,plain,
( ? [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( func @ X1 @ X2 @ X0 ) )
& ? [X3: $i] :
( ( ( in @ X3 @ X1 )
= $true )
& ( $true
!= ( in @ ( kpair @ X3 @ ( ap @ X1 @ X2 @ X0 @ X3 ) ) @ X0 ) ) ) )
& ( funcImageSingleton = $true )
& ( theprop = $true )
& ( dsetconstrER = $true ) ),
inference(ennf_transformation,[],[f16]) ).
thf(f31,plain,
( ( theprop = $true )
& ( funcImageSingleton = $true )
& ( dsetconstrER = $true )
& ? [X0: $i,X1: $i,X2: $i] :
( ( $true
= ( func @ X1 @ X2 @ X0 ) )
& ? [X3: $i] :
( ( ( in @ X3 @ X1 )
= $true )
& ( $true
!= ( in @ ( kpair @ X3 @ ( ap @ X1 @ X2 @ X0 @ X3 ) ) @ X0 ) ) ) ) ),
inference(flattening,[],[f30]) ).
thf(f32,plain,
( ! [X0: $i] :
( ( ( singleton @ X0 )
!= $true )
| ( ( in @ ( setunion @ X0 ) @ X0 )
= $true ) )
<=> ( theprop = $true ) ),
inference(ennf_transformation,[],[f23]) ).
thf(f33,plain,
( ( theprop = $true )
& ( funcImageSingleton = $true )
& ( dsetconstrER = $true )
& ( $true
= ( func @ sK1 @ sK2 @ sK0 ) )
& ( $true
= ( in @ sK3 @ sK1 ) )
& ( $true
!= ( in @ ( kpair @ sK3 @ ( ap @ sK1 @ sK2 @ sK0 @ sK3 ) ) @ sK0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f31]) ).
thf(f34,plain,
( ( ( dsetconstrER = $true )
| ? [X0: $i,X1: $i > $o,X2: $i] :
( ( ( X1 @ X2 )
!= $true )
& ( $true
= ( in @ X2
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( X1 @ Y0 ) ) ) ) ) )
& ( ! [X0: $i,X1: $i > $o,X2: $i] :
( ( ( X1 @ X2 )
= $true )
| ( $true
!= ( in @ X2
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( X1 @ Y0 ) ) ) ) )
| ( dsetconstrER != $true ) ) ),
inference(nnf_transformation,[],[f29]) ).
thf(f35,plain,
( ( ( dsetconstrER = $true )
| ? [X0: $i,X1: $i > $o,X2: $i] :
( ( ( X1 @ X2 )
!= $true )
& ( $true
= ( in @ X2
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( X1 @ Y0 ) ) ) ) ) )
& ( ! [X3: $i,X4: $i > $o,X5: $i] :
( ( $true
= ( X4 @ X5 ) )
| ( ( in @ X5
@ ( dsetconstr @ X3
@ ^ [Y0: $i] : ( X4 @ Y0 ) ) )
!= $true ) )
| ( dsetconstrER != $true ) ) ),
inference(rectify,[],[f34]) ).
thf(f36,plain,
( ( ( dsetconstrER = $true )
| ( ( ( sK5 @ sK6 )
!= $true )
& ( $true
= ( in @ sK6
@ ( dsetconstr @ sK4
@ ^ [Y0: $i] : ( sK5 @ Y0 ) ) ) ) ) )
& ( ! [X3: $i,X4: $i > $o,X5: $i] :
( ( $true
= ( X4 @ X5 ) )
| ( ( in @ X5
@ ( dsetconstr @ X3
@ ^ [Y0: $i] : ( X4 @ Y0 ) ) )
!= $true ) )
| ( dsetconstrER != $true ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6)],[f35]) ).
thf(f37,plain,
( ( ! [X1: $i,X0: $i,X2: $i] :
( ( $true
!= ( func @ X2 @ X1 @ X0 ) )
| ! [X3: $i] :
( ( $true
= ( singleton
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( in @ ( kpair @ X3 @ Y0 ) @ X0 ) ) ) )
| ( $true
!= ( in @ X3 @ X2 ) ) ) )
| ( funcImageSingleton != $true ) )
& ( ( funcImageSingleton = $true )
| ? [X1: $i,X0: $i,X2: $i] :
( ( $true
= ( func @ X2 @ X1 @ X0 ) )
& ? [X3: $i] :
( ( $true
!= ( singleton
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : ( in @ ( kpair @ X3 @ Y0 ) @ X0 ) ) ) )
& ( $true
= ( in @ X3 @ X2 ) ) ) ) ) ),
inference(nnf_transformation,[],[f28]) ).
thf(f38,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( func @ X2 @ X0 @ X1 ) )
| ! [X3: $i] :
( ( $true
= ( singleton
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( in @ ( kpair @ X3 @ Y0 ) @ X1 ) ) ) )
| ( $true
!= ( in @ X3 @ X2 ) ) ) )
| ( funcImageSingleton != $true ) )
& ( ( funcImageSingleton = $true )
| ? [X4: $i,X5: $i,X6: $i] :
( ( $true
= ( func @ X6 @ X4 @ X5 ) )
& ? [X7: $i] :
( ( $true
!= ( singleton
@ ( dsetconstr @ X4
@ ^ [Y0: $i] : ( in @ ( kpair @ X7 @ Y0 ) @ X5 ) ) ) )
& ( ( in @ X7 @ X6 )
= $true ) ) ) ) ),
inference(rectify,[],[f37]) ).
thf(f39,plain,
( ( ! [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( func @ X2 @ X0 @ X1 ) )
| ! [X3: $i] :
( ( $true
= ( singleton
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( in @ ( kpair @ X3 @ Y0 ) @ X1 ) ) ) )
| ( $true
!= ( in @ X3 @ X2 ) ) ) )
| ( funcImageSingleton != $true ) )
& ( ( funcImageSingleton = $true )
| ( ( ( func @ sK9 @ sK7 @ sK8 )
= $true )
& ( $true
!= ( singleton
@ ( dsetconstr @ sK7
@ ^ [Y0: $i] : ( in @ ( kpair @ sK10 @ Y0 ) @ sK8 ) ) ) )
& ( $true
= ( in @ sK10 @ sK9 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10]),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9),skolemize(X7,sK10)],[f38]) ).
thf(f40,plain,
( ( ! [X0: $i] :
( ( ( singleton @ X0 )
!= $true )
| ( ( in @ ( setunion @ X0 ) @ X0 )
= $true ) )
| ( theprop != $true ) )
& ( ( theprop = $true )
| ? [X0: $i] :
( ( ( singleton @ X0 )
= $true )
& ( ( in @ ( setunion @ X0 ) @ X0 )
!= $true ) ) ) ),
inference(nnf_transformation,[],[f32]) ).
thf(f41,plain,
( ( ! [X0: $i] :
( ( ( singleton @ X0 )
!= $true )
| ( ( in @ ( setunion @ X0 ) @ X0 )
= $true ) )
| ( theprop != $true ) )
& ( ( theprop = $true )
| ? [X1: $i] :
( ( ( singleton @ X1 )
= $true )
& ( $true
!= ( in @ ( setunion @ X1 ) @ X1 ) ) ) ) ),
inference(rectify,[],[f40]) ).
thf(f42,plain,
( ( ! [X0: $i] :
( ( ( singleton @ X0 )
!= $true )
| ( ( in @ ( setunion @ X0 ) @ X0 )
= $true ) )
| ( theprop != $true ) )
& ( ( theprop = $true )
| ( ( $true
= ( singleton @ sK11 ) )
& ( $true
!= ( in @ ( setunion @ sK11 ) @ sK11 ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X1,sK11)],[f41]) ).
thf(f43,plain,
( $true
!= ( in @ ( kpair @ sK3 @ ( ap @ sK1 @ sK2 @ sK0 @ sK3 ) ) @ sK0 ) ),
inference(cnf_transformation,[],[f33]) ).
thf(f44,plain,
( $true
= ( in @ sK3 @ sK1 ) ),
inference(cnf_transformation,[],[f33]) ).
thf(f45,plain,
( $true
= ( func @ sK1 @ sK2 @ sK0 ) ),
inference(cnf_transformation,[],[f33]) ).
thf(f46,plain,
dsetconstrER = $true,
inference(cnf_transformation,[],[f33]) ).
thf(f47,plain,
funcImageSingleton = $true,
inference(cnf_transformation,[],[f33]) ).
thf(f48,plain,
theprop = $true,
inference(cnf_transformation,[],[f33]) ).
thf(f49,plain,
( ap
= ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i] :
( setunion
@ ( dsetconstr @ Y1
@ ^ [Y4: $i] : ( in @ ( kpair @ Y3 @ Y4 ) @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f50,plain,
! [X3: $i,X4: $i > $o,X5: $i] :
( ( $true
= ( X4 @ X5 ) )
| ( ( in @ X5
@ ( dsetconstr @ X3
@ ^ [Y0: $i] : ( X4 @ Y0 ) ) )
!= $true )
| ( dsetconstrER != $true ) ),
inference(cnf_transformation,[],[f36]) ).
thf(f56,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( func @ X2 @ X0 @ X1 ) )
| ( $true
= ( singleton
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( in @ ( kpair @ X3 @ Y0 ) @ X1 ) ) ) )
| ( $true
!= ( in @ X3 @ X2 ) )
| ( funcImageSingleton != $true ) ),
inference(cnf_transformation,[],[f39]) ).
thf(f59,plain,
! [X0: $i] :
( ( ( singleton @ X0 )
!= $true )
| ( ( in @ ( setunion @ X0 ) @ X0 )
= $true )
| ( theprop != $true ) ),
inference(cnf_transformation,[],[f42]) ).
thf(f62,plain,
( ( in
@ ( kpair @ sK3
@ ( ^ [Y0: $i,Y1: $i,Y2: $i,Y3: $i] :
( setunion
@ ( dsetconstr @ Y1
@ ^ [Y4: $i] : ( in @ ( kpair @ Y3 @ Y4 ) @ Y2 ) ) )
@ sK1
@ sK2
@ sK0
@ sK3 ) )
@ sK0 )
!= $true ),
inference(definition_unfolding,[],[f43,f49]) ).
thf(f65,plain,
! [X3: $i,X4: $i > $o,X5: $i] :
( ( $true
= ( X4 @ X5 ) )
| ( ( in @ X5
@ ( dsetconstr @ X3
@ ^ [Y0: $i] : ( X4 @ Y0 ) ) )
!= $true )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f50,f46]) ).
thf(f66,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( in @ X3 @ X2 ) )
| ( $true
= ( singleton
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( in @ ( kpair @ X3 @ Y0 ) @ X1 ) ) ) )
| ( $true
!= ( func @ X2 @ X0 @ X1 ) )
| ( $true != $true ) ),
inference(definition_unfolding,[],[f56,f47]) ).
thf(f70,plain,
! [X0: $i] :
( ( $true != $true )
| ( ( in @ ( setunion @ X0 ) @ X0 )
= $true )
| ( ( singleton @ X0 )
!= $true ) ),
inference(definition_unfolding,[],[f59,f48]) ).
thf(f73,plain,
( $true
!= ( in
@ ( kpair @ sK3
@ ( setunion
@ ( dsetconstr @ sK2
@ ^ [Y0: $i] : ( in @ ( kpair @ sK3 @ Y0 ) @ sK0 ) ) ) )
@ sK0 ) ),
inference(beta-eta_normalization,[],[f62]) ).
thf(f74,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( singleton
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : ( in @ ( kpair @ X3 @ Y0 ) @ X1 ) ) ) )
| ( $true
!= ( in @ X3 @ X2 ) )
| ( $true
!= ( func @ X2 @ X0 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f66]) ).
thf(f75,plain,
! [X3: $i,X4: $i > $o,X5: $i] :
( ( $true
= ( X4 @ X5 ) )
| ( ( in @ X5
@ ( dsetconstr @ X3
@ ^ [Y0: $i] : ( X4 @ Y0 ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f65]) ).
thf(f76,plain,
! [X3: $i,X4: $i > $o,X5: $i] :
( ( ( in @ X5 @ ( dsetconstr @ X3 @ X4 ) )
!= $true )
| ( $true
= ( X4 @ X5 ) ) ),
inference(beta-eta_normalization,[],[f75]) ).
thf(f77,plain,
! [X0: $i] :
( ( ( in @ ( setunion @ X0 ) @ X0 )
= $true )
| ( ( singleton @ X0 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f70]) ).
thf(f79,plain,
( $true
= ( singleton
@ ( dsetconstr @ sK2
@ ^ [Y0: $i] : ( in @ ( kpair @ sK3 @ Y0 ) @ sK0 ) ) ) ),
inference(unit_resulting_resolution,[],[f74,f44,f45]) ).
thf(f80,plain,
( $true
= ( in
@ ( setunion
@ ( dsetconstr @ sK2
@ ^ [Y0: $i] : ( in @ ( kpair @ sK3 @ Y0 ) @ sK0 ) ) )
@ ( dsetconstr @ sK2
@ ^ [Y0: $i] : ( in @ ( kpair @ sK3 @ Y0 ) @ sK0 ) ) ) ),
inference(unit_resulting_resolution,[],[f77,f79]) ).
thf(f82,plain,
( $true
= ( ^ [Y0: $i] : ( in @ ( kpair @ sK3 @ Y0 ) @ sK0 )
@ ( setunion
@ ( dsetconstr @ sK2
@ ^ [Y0: $i] : ( in @ ( kpair @ sK3 @ Y0 ) @ sK0 ) ) ) ) ),
inference(unit_resulting_resolution,[],[f76,f80]) ).
thf(f83,plain,
( $true
= ( in
@ ( kpair @ sK3
@ ( setunion
@ ( dsetconstr @ sK2
@ ^ [Y0: $i] : ( in @ ( kpair @ sK3 @ Y0 ) @ sK0 ) ) ) )
@ sK0 ) ),
inference(beta-eta_normalization,[],[f82]) ).
thf(f84,plain,
$false,
inference(forward_subsumption_resolution,[],[f83,f73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU684^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n015.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 14:12:03 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 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
% 0.21/0.36 % (3584516)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.36 % (3584527)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.36 % (3584527)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
% 0.21/0.36 % (3584521)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1106901467:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.36 % (3584522)lrs+10_16_si=on:nwc=1.5:random_seed=1682474453:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.36 % (3584523)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2041755878:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.36 % (3584527)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=2593605355:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.36 % (3584524)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=527547577: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)
% 0.21/0.36 % (3584523)Instruction limit reached!
% 0.21/0.36 % (3584523)------------------------------
% 0.21/0.36 % (3584523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3584523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3584523)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3584523)Termination reason: Instruction limit
% 0.21/0.36 % (3584523)Termination phase: Saturation
% 0.21/0.36 % (3584523)Time elapsed: 0.003 s
% 0.21/0.36 % (3584523)Peak memory usage: 11 MB
% 0.21/0.36 % (3584523)Instructions burned: 4 (million)
% 0.21/0.36 % (3584522)Instruction limit reached!
% 0.21/0.36 % (3584522)------------------------------
% 0.21/0.36 % (3584522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3584522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3584522)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3584522)Termination reason: Instruction limit
% 0.21/0.36 % (3584522)Termination phase: Saturation
% 0.21/0.36 % (3584522)Time elapsed: 0.010 s
% 0.21/0.36 % (3584522)Peak memory usage: 12 MB
% 0.21/0.36 % (3584522)Instructions burned: 18 (million)
% 0.21/0.36 % (3584525)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1139103763:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.36 % (3584526)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1060164877:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.36 % (3584533)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1170593975:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.36 % (3584533)Instruction limit reached!
% 0.21/0.36 % (3584533)------------------------------
% 0.21/0.36 % (3584533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3584533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3584533)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3584533)Termination reason: Instruction limit
% 0.21/0.36 % (3584533)Termination phase: Property scanning
% 0.21/0.36 % (3584533)Time elapsed: 0.002 s
% 0.21/0.36 % (3584533)Peak memory usage: 10 MB
% 0.21/0.36 % (3584533)Instructions burned: 3 (million)
% 0.21/0.36 % (3584534)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3857858346:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.21/0.36 % (3584534)Instruction limit reached!
% 0.21/0.36 % (3584534)------------------------------
% 0.21/0.36 % (3584534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3584534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3584534)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3584534)Termination reason: Instruction limit
% 0.21/0.36 % (3584534)Termination phase: Saturation
% 0.21/0.36 % (3584534)Time elapsed: 0.003 s
% 0.21/0.36 % (3584534)Peak memory usage: 11 MB
% 0.21/0.36 % (3584534)Instructions burned: 6 (million)
% 0.21/0.36 % (3584525)Instruction limit reached!
% 0.21/0.36 % (3584525)------------------------------
% 0.21/0.36 % (3584525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3584525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3584525)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3584525)Termination reason: Instruction limit
% 0.21/0.36 % (3584525)Termination phase: Saturation
% 0.21/0.36 % (3584525)Time elapsed: 0.025 s
% 0.21/0.36 % (3584525)Peak memory usage: 12 MB
% 0.21/0.36 % (3584525)Instructions burned: 24 (million)
% 0.21/0.36 % (3584527)Instruction limit reached!
% 0.21/0.36 % (3584527)------------------------------
% 0.21/0.36 % (3584527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3584527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3584527)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3584527)Termination reason: Instruction limit
% 0.21/0.36 % (3584527)Termination phase: Saturation
% 0.21/0.36 % (3584527)Time elapsed: 0.042 s
% 0.21/0.36 % (3584527)Peak memory usage: 13 MB
% 0.21/0.36 % (3584527)Instructions burned: 157 (million)
% 0.21/0.36 % (3584521)Instruction limit reached!
% 0.21/0.36 % (3584521)------------------------------
% 0.21/0.36 % (3584521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3584521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3584521)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3584521)Termination reason: Instruction limit
% 0.21/0.36 % (3584521)Termination phase: Saturation
% 0.21/0.36 % (3584521)Time elapsed: 0.047 s
% 0.21/0.36 % (3584521)Peak memory usage: 13 MB
% 0.21/0.36 % (3584521)Instructions burned: 89 (million)
% 0.21/0.36 % (3584538)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.36 % (3584524)Refutation not found, incomplete strategy
% 0.21/0.36 % (3584524)------------------------------
% 0.21/0.36 % (3584524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3584524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3584524)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3584524)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.36 % (3584524)Time elapsed: 0.051 s
% 0.21/0.36 % (3584524)Peak memory usage: 13 MB
% 0.21/0.36 % (3584524)Instructions burned: 62 (million)
% 0.21/0.36 % (3584542)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=1929120482:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.21/0.36 % (3584538)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2840202605:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.21/0.36 % (3584524)------------------------------
% 0.21/0.36 % (3584524)------------------------------
% 0.21/0.36 % (3584540)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=301001436:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.21/0.36 % (3584538)Instruction limit reached!
% 0.21/0.36 % (3584538)------------------------------
% 0.21/0.36 % (3584538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3584538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3584538)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3584538)Termination reason: Instruction limit
% 0.21/0.36 % (3584538)Termination phase: Saturation
% 0.21/0.36 % (3584538)Time elapsed: 0.005 s
% 0.21/0.36 % (3584538)Peak memory usage: 12 MB
% 0.21/0.36 % (3584538)Instructions burned: 9 (million)
% 0.21/0.36 % (3584540)Instruction limit reached!
% 0.21/0.36 % (3584540)------------------------------
% 0.21/0.36 % (3584540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3584540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3584540)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3584540)Termination reason: Instruction limit
% 0.21/0.36 % (3584540)Termination phase: Saturation
% 0.21/0.36 % (3584540)Time elapsed: 0.007 s
% 0.21/0.36 % (3584540)Peak memory usage: 12 MB
% 0.21/0.36 % (3584540)Instructions burned: 13 (million)
% 0.21/0.36 % (3584542)Refutation not found, incomplete strategy
% 0.21/0.36 % (3584542)------------------------------
% 0.21/0.36 % (3584542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3584542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3584542)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3584542)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.36 % (3584542)Time elapsed: 0.012 s
% 0.21/0.36 % (3584542)Peak memory usage: 12 MB
% 0.21/0.36 % (3584542)Instructions burned: 41 (million)
% 0.21/0.36 % (3584542)------------------------------
% 0.21/0.36 % (3584542)------------------------------
% 0.21/0.36 % (3584543)lrs+10_1_si=on:cs=on:random_seed=3590822711:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.21/0.36 % (3584541)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
% 0.21/0.36 % (3584541)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.36 % (3584541)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2134501517:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.21/0.36 % (3584543)Instruction limit reached!
% 0.21/0.36 % (3584543)------------------------------
% 0.21/0.36 % (3584543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3584543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3584543)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3584543)Termination reason: Instruction limit
% 0.21/0.36 % (3584543)Termination phase: Saturation
% 0.21/0.36 % (3584543)Time elapsed: 0.007 s
% 0.21/0.36 % (3584543)Peak memory usage: 11 MB
% 0.21/0.36 % (3584543)Instructions burned: 16 (million)
% 0.21/0.36 % (3584551)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=756914459:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.21/0.36 % (3584548)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3222603288:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.21/0.36 % (3584547)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.21/0.36 % (3584549)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1792094470:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.21/0.36 % (3584526)Instruction limit reached!
% 0.21/0.36 % (3584526)------------------------------
% 0.21/0.36 % (3584526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3584526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3584526)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3584526)Termination reason: Instruction limit
% 0.21/0.36 % (3584526)Termination phase: Saturation
% 0.21/0.36 % (3584526)Time elapsed: 0.071 s
% 0.21/0.36 % (3584526)Peak memory usage: 12 MB
% 0.21/0.36 % (3584526)Instructions burned: 76 (million)
% 0.21/0.36 % (3584548) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3584516-3584548"...
% 0.21/0.36 % (3584547)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=3440239490:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.36 % (3584548)...printing done.
% 0.21/0.36 % (3584549)Refutation not found, incomplete strategy
% 0.21/0.36 % (3584549)------------------------------
% 0.21/0.36 % (3584549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3584547)Instruction limit reached!
% 0.21/0.36 % (3584547)------------------------------
% 0.21/0.36 % (3584547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3584549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3584547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3584549)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3584549)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.36 % (3584549)Time elapsed: 0.006 s
% 0.21/0.36 % (3584549)Peak memory usage: 12 MB
% 0.21/0.36 % (3584549)Instructions burned: 9 (million)
% 0.21/0.36 % (3584547)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3584547)Termination reason: Instruction limit
% 0.21/0.36 % (3584547)Termination phase: Property scanning
% 0.21/0.36 % (3584547)Time elapsed: 0.002 s
% 0.21/0.36 % (3584547)Peak memory usage: 10 MB
% 0.21/0.36 % (3584551)Instruction limit reached!
% 0.21/0.36 % (3584551)------------------------------
% 0.21/0.36 % (3584551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3584547)Instructions burned: 2 (million)
% 0.21/0.36 % (3584548)Refutation found. Thanks to Tanya!
% 0.21/0.36 % SZS status Theorem for theBenchmark
% 0.21/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.36 % (3584548)------------------------------
% 0.21/0.36 % (3584548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (3584548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (3584548)CaDiCaL version: 2.1.3
% 0.21/0.36 % (3584548)Termination reason: Refutation
% 0.21/0.36 % (3584548)Time elapsed: 0.007 s
% 0.21/0.36 % (3584548)Peak memory usage: 12 MB
% 0.21/0.36 % (3584548)Instructions burned: 10 (million)
% 0.21/0.36 % (3584516)Success in time 0.121 s
% 0.21/0.36 % Vampire exiting
%------------------------------------------------------------------------------