%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU505^1 : 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 : n013.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 08:29:50 AM UTC 2026
% Result : Theorem 0.35s 0.35s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 2
% Syntax : Number of formulae : 41 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 731 ( 216 equ; 0 cnn)
% Maximal formula atoms : 26 ( 17 avg)
% Number of connectives : 544 ( 32 ~; 37 |; 92 &; 256 @)
% ( 2 <=>; 109 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 67 ( 63 usr; 26 con; 0-4 aty)
% ( 16 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 80 ( 20 ^; 54 !; 6 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_3,type,
setextAx: $o ).
thf(func_def_5,type,
emptysetAx: $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_7,type,
setadjoinAx: $o ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_9,type,
powersetAx: $o ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_11,type,
setunionAx: $o ).
thf(func_def_13,type,
omega0Ax: $o ).
thf(func_def_14,type,
omegaSAx: $o ).
thf(func_def_15,type,
omegaIndAx: $o ).
thf(func_def_16,type,
replAx: $o ).
thf(func_def_17,type,
foundationAx: $o ).
thf(func_def_18,type,
wellorderingAx: $o ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_20,type,
descrp: $o ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
dsetconstrI: $o ).
thf(func_def_23,type,
dsetconstrEL: $o ).
thf(func_def_24,type,
dsetconstrER: $o ).
thf(func_def_25,type,
exuE1: $o ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_27,type,
prop2setE: $o ).
thf(func_def_28,type,
emptysetE: $o ).
thf(func_def_29,type,
emptysetimpfalse: $o ).
thf(func_def_30,type,
notinemptyset: $o ).
thf(func_def_31,type,
exuE3e: $o ).
thf(func_def_32,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_33,type,
vIFF: $o > $o > $o ).
thf(func_def_34,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_35,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_36,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_37,type,
vOR: $o > $o > $o ).
thf(func_def_38,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_39,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_40,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_41,type,
vAND: $o > $o > $o ).
thf(func_def_42,type,
vIMP: $o > $o > $o ).
thf(func_def_43,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_44,type,
vNOT: $o > $o ).
thf(func_def_45,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_50,type,
sK2: $i > $i ).
thf(func_def_51,type,
sK3: $i > $i > $i ).
thf(func_def_52,type,
sK4: $i > $i > $i ).
thf(func_def_53,type,
sK5: $i > $i > $i ).
thf(func_def_54,type,
sK6: ( $i > $o ) > $i ).
thf(func_def_55,type,
sK7: $i > $i ).
thf(func_def_56,type,
sK8: $i > $i > $i ).
thf(func_def_57,type,
sK9: $i > $i > $i ).
thf(func_def_58,type,
sK10: $i > $i > $i ).
thf(func_def_59,type,
sK11: $i > $i > $i ).
thf(func_def_60,type,
sK12: $i > $i > $i > $i ).
thf(func_def_61,type,
sK13: $i > $i ).
thf(func_def_62,type,
sK14: ( $i > $o ) > $i ).
thf(func_def_63,type,
sK15: ( $i > $i > $o ) > $i > $i ).
thf(func_def_64,type,
sK16: ( $i > $i > $o ) > $i > $i ).
thf(func_def_65,type,
sK17: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_66,type,
sK18: $i > ( $i > $i > $o ) > $i > $i ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( ! [X2: $i] :
( ( in @ X2 @ X0 )
<=> ( in @ X2 @ X1 ) )
=> ( X0 = X1 ) )
= setextAx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setextAx) ).
thf(f24,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) )
=> ( ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) )
=> ( X0 = X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setext) ).
thf(f25,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) )
=> ( ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) )
=> ( X0 = X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f24]) ).
thf(f48,plain,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( in @ X2 @ X0 )
=> ( in @ X2 @ X1 ) )
=> ( ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ X3 @ X0 ) )
=> ( X0 = X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f25]) ).
thf(f49,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ! [X0: $i,X1: $i] :
( ! [X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
=> ( ( in @ X2 @ X1 )
= $true ) )
=> ( ! [X3: $i] :
( ( ( in @ X3 @ X1 )
= $true )
=> ( ( in @ X3 @ X0 )
= $true ) )
=> ( X0 = X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f48]) ).
thf(f58,plain,
! [X0: $i,X1: $i] :
( ( ! [X2: $i] :
( ( in @ X2 @ X1 )
<=> ( in @ X2 @ X0 ) )
=> ( X0 = X1 ) )
= setextAx ),
inference(rectify,[],[f2]) ).
thf(f59,plain,
( setextAx
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
= ( in @ Y2 @ Y1 ) ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(fool_elimination,[],[f58]) ).
thf(f72,plain,
( ? [X0: $i,X1: $i] :
( ( X0 != X1 )
& ! [X3: $i] :
( ( ( in @ X3 @ X1 )
!= $true )
| ( ( in @ X3 @ X0 )
= $true ) )
& ! [X2: $i] :
( ( ( in @ X2 @ X1 )
= $true )
| ( ( in @ X2 @ X0 )
!= $true ) ) )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[],[f49]) ).
thf(f73,plain,
( ? [X1: $i,X0: $i] :
( ( X0 != X1 )
& ! [X2: $i] :
( ( ( in @ X2 @ X1 )
= $true )
| ( ( in @ X2 @ X0 )
!= $true ) )
& ! [X3: $i] :
( ( ( in @ X3 @ X1 )
!= $true )
| ( ( in @ X3 @ X0 )
= $true ) ) )
& ( emptysetE = $true )
& ( emptysetimpfalse = $true )
& ( dsetconstrER = $true )
& ( setunionAx = $true )
& ( dsetconstrEL = $true )
& ( notinemptyset = $true )
& ( powersetAx = $true )
& ( omega0Ax = $true )
& ( omegaSAx = $true )
& ( omegaIndAx = $true )
& ( prop2setE = $true )
& ( exuE3e = $true )
& ( emptysetAx = $true )
& ( exuE1 = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( setadjoinAx = $true )
& ( dsetconstrI = $true )
& ( wellorderingAx = $true )
& ( descrp = $true )
& ( setextAx = $true ) ),
inference(flattening,[],[f72]) ).
thf(f74,plain,
( ? [X0: $i,X1: $i] :
( ( X0 != X1 )
& ! [X2: $i] :
( ( ( in @ X2 @ X0 )
= $true )
| ( ( in @ X2 @ X1 )
!= $true ) )
& ! [X3: $i] :
( ( ( in @ X3 @ X0 )
!= $true )
| ( ( in @ X3 @ X1 )
= $true ) ) )
& ( emptysetE = $true )
& ( emptysetimpfalse = $true )
& ( dsetconstrER = $true )
& ( setunionAx = $true )
& ( dsetconstrEL = $true )
& ( notinemptyset = $true )
& ( powersetAx = $true )
& ( omega0Ax = $true )
& ( omegaSAx = $true )
& ( omegaIndAx = $true )
& ( prop2setE = $true )
& ( exuE3e = $true )
& ( emptysetAx = $true )
& ( exuE1 = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( setadjoinAx = $true )
& ( dsetconstrI = $true )
& ( wellorderingAx = $true )
& ( descrp = $true )
& ( setextAx = $true ) ),
inference(rectify,[],[f73]) ).
thf(f75,plain,
( ( sK0 != sK1 )
& ! [X2: $i] :
( ( $true
= ( in @ X2 @ sK0 ) )
| ( ( in @ X2 @ sK1 )
!= $true ) )
& ! [X3: $i] :
( ( $true
!= ( in @ X3 @ sK0 ) )
| ( $true
= ( in @ X3 @ sK1 ) ) )
& ( emptysetE = $true )
& ( emptysetimpfalse = $true )
& ( dsetconstrER = $true )
& ( setunionAx = $true )
& ( dsetconstrEL = $true )
& ( notinemptyset = $true )
& ( powersetAx = $true )
& ( omega0Ax = $true )
& ( omegaSAx = $true )
& ( omegaIndAx = $true )
& ( prop2setE = $true )
& ( exuE3e = $true )
& ( emptysetAx = $true )
& ( exuE1 = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( setadjoinAx = $true )
& ( dsetconstrI = $true )
& ( wellorderingAx = $true )
& ( descrp = $true )
& ( setextAx = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f74]) ).
thf(f87,plain,
setextAx = $true,
inference(cnf_transformation,[],[f75]) ).
thf(f108,plain,
! [X3: $i] :
( ( $true
= ( in @ X3 @ sK1 ) )
| ( $true
!= ( in @ X3 @ sK0 ) ) ),
inference(cnf_transformation,[],[f75]) ).
thf(f109,plain,
! [X2: $i] :
( ( $true
= ( in @ X2 @ sK0 ) )
| ( ( in @ X2 @ sK1 )
!= $true ) ),
inference(cnf_transformation,[],[f75]) ).
thf(f110,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f75]) ).
thf(f111,plain,
( setextAx
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
= ( in @ Y2 @ Y1 ) ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f59]) ).
thf(f134,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
= ( in @ Y2 @ Y1 ) ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(definition_unfolding,[],[f111,f87]) ).
thf(f202,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
= ( in @ Y2 @ Y1 ) ) )
=> ( Y1 = Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f134]) ).
thf(f203,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X1 )
= ( in @ Y1 @ Y0 ) ) )
=> ( Y0 = X1 ) ) ) ),
inference(beta-eta_normalization,[],[f202]) ).
thf(f204,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X1 )
= ( in @ Y1 @ Y0 ) ) )
=> ( Y0 = X1 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f203]) ).
thf(f205,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
= ( in @ Y0 @ X2 ) ) )
=> ( X2 = X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f204]) ).
thf(f206,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
= ( in @ Y0 @ X2 ) ) ) )
| ( $true
= ( X2 = X1 ) ) ),
inference(imp_proxy_clausification,[],[f205]) ).
thf(f207,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
= ( in @ Y0 @ X2 ) )
@ ( sK5 @ X1 @ X2 ) ) )
| ( $true
= ( X2 = X1 ) ) ),
inference(sigma_proxy_clausification,[],[f206]) ).
thf(f208,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
= ( in @ Y0 @ X2 ) )
@ ( sK5 @ X1 @ X2 ) ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f207]) ).
thf(f209,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( in @ ( sK5 @ X1 @ X2 ) @ X1 )
= ( in @ ( sK5 @ X1 @ X2 ) @ X2 ) ) )
| ( X1 = X2 ) ),
inference(beta-eta_normalization,[],[f208]) ).
thf(f210,plain,
! [X2: $i,X1: $i] :
( ( ( in @ ( sK5 @ X1 @ X2 ) @ X2 )
!= ( in @ ( sK5 @ X1 @ X2 ) @ X1 ) )
| ( X1 = X2 ) ),
inference(iff_proxy_clausification,[],[f209]) ).
thf(f211,plain,
! [X2: $i,X1: $i] :
( ( ( in @ ( sK5 @ X1 @ X2 ) @ X2 )
= $true )
| ( ( in @ ( sK5 @ X1 @ X2 ) @ X1 )
= $true )
| ( X1 = X2 ) ),
inference(xor_proxy_clausification,[],[f210]) ).
thf(f212,plain,
! [X2: $i,X1: $i] :
( ( ( in @ ( sK5 @ X1 @ X2 ) @ X2 )
= $false )
| ( X1 = X2 )
| ( ( in @ ( sK5 @ X1 @ X2 ) @ X1 )
= $false ) ),
inference(xor_proxy_clausification,[],[f210]) ).
thf(f645,plain,
! [X0: $i] :
( ( $true
!= ( in @ ( sK5 @ X0 @ sK1 ) @ sK0 ) )
| ( $false = $true )
| ( $false
= ( in @ ( sK5 @ X0 @ sK1 ) @ X0 ) )
| ( sK1 = X0 ) ),
inference(superposition,[],[f108,f212]) ).
thf(f647,plain,
! [X0: $i] :
( ( $false
= ( in @ ( sK5 @ X0 @ sK1 ) @ X0 ) )
| ( $true
!= ( in @ ( sK5 @ X0 @ sK1 ) @ sK0 ) )
| ( sK1 = X0 ) ),
inference(trivial_inequality_removal,[],[f645]) ).
thf(f1000,plain,
( ( $false = $true )
| ( $true != $true )
| ( $true
!= ( in @ ( sK5 @ sK0 @ sK1 ) @ sK1 ) )
| ( sK0 = sK1 ) ),
inference(superposition,[],[f647,f109]) ).
thf(f1006,plain,
( ( $true
!= ( in @ ( sK5 @ sK0 @ sK1 ) @ sK0 ) )
| ( $true
!= ( in @ ( sK5 @ sK0 @ sK1 ) @ sK1 ) )
| ( sK0 = sK1 )
| ( $false = $true ) ),
inference(superposition,[],[f109,f647]) ).
thf(f1014,plain,
( ( $true
!= ( in @ ( sK5 @ sK0 @ sK1 ) @ sK1 ) )
| ( $true
!= ( in @ ( sK5 @ sK0 @ sK1 ) @ sK0 ) )
| ( sK0 = sK1 ) ),
inference(trivial_inequality_removal,[],[f1006]) ).
thf(f1017,plain,
( ( $true
!= ( in @ ( sK5 @ sK0 @ sK1 ) @ sK1 ) )
| ( sK0 = sK1 ) ),
inference(trivial_inequality_removal,[],[f1000]) ).
thf(f1018,plain,
( ( sK0 = sK1 )
| ( $true
!= ( in @ ( sK5 @ sK0 @ sK1 ) @ sK0 ) ) ),
inference(forward_subsumption_resolution,[],[f1014,f108]) ).
thf(f1019,plain,
( $true
!= ( in @ ( sK5 @ sK0 @ sK1 ) @ sK1 ) ),
inference(forward_subsumption_resolution,[],[f1017,f110]) ).
thf(f1020,plain,
( $true
!= ( in @ ( sK5 @ sK0 @ sK1 ) @ sK0 ) ),
inference(forward_subsumption_resolution,[],[f1018,f110]) ).
thf(f1022,plain,
( ( sK0 = sK1 )
| ( $true
= ( in @ ( sK5 @ sK0 @ sK1 ) @ sK0 ) )
| ( $true != $true ) ),
inference(superposition,[],[f1019,f211]) ).
thf(f1025,plain,
( ( sK0 = sK1 )
| ( $true
= ( in @ ( sK5 @ sK0 @ sK1 ) @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f1022]) ).
thf(f1028,plain,
( $true
= ( in @ ( sK5 @ sK0 @ sK1 ) @ sK0 ) ),
inference(forward_subsumption_resolution,[],[f1025,f110]) ).
thf(f1029,plain,
$false,
inference(forward_subsumption_resolution,[],[f1028,f1020]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU505^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n013.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Sep 29 13:46:21 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running higher-order theorem proving
% 0.10/0.21 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
% 0.35/0.33 % (2137164)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.35/0.33 % (2137179)lrs+10_16_si=on:nwc=1.5:random_seed=2550239124:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.35/0.33 % (2137185)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.35/0.33 % (2137185)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
% 0.35/0.33 % (2137178)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=454730666:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.35/0.33 % (2137181)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=49117171:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.35/0.33 % (2137183)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2154489251:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.35/0.33 % (2137185)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=625370440:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.35/0.33 % (2137184)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2198879416:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.35/0.33 % (2137182)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=4139739947: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)
% 0.35/0.33 % (2137179)Instruction limit reached!
% 0.35/0.33 % (2137179)------------------------------
% 0.35/0.33 % (2137179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.33 % (2137179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.33 % (2137179)CaDiCaL version: 2.1.3
% 0.35/0.33 % (2137179)Termination reason: Instruction limit
% 0.35/0.33 % (2137179)Termination phase: Saturation
% 0.35/0.33 % (2137179)Time elapsed: 0.005 s
% 0.35/0.33 % (2137179)Peak memory usage: 11 MB
% 0.35/0.33 % (2137179)Instructions burned: 19 (million)
% 0.35/0.33 % (2137181)Instruction limit reached!
% 0.35/0.33 % (2137181)------------------------------
% 0.35/0.33 % (2137181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.33 % (2137181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.33 % (2137181)CaDiCaL version: 2.1.3
% 0.35/0.33 % (2137181)Termination reason: Instruction limit
% 0.35/0.33 % (2137181)Termination phase: Property scanning
% 0.35/0.33 % (2137181)Time elapsed: 0.003 s
% 0.35/0.33 % (2137181)Peak memory usage: 10 MB
% 0.35/0.33 % (2137181)Instructions burned: 7 (million)
% 0.35/0.33 % (2137203)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1186658971:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.35/0.33 % (2137183)Instruction limit reached!
% 0.35/0.33 % (2137183)------------------------------
% 0.35/0.33 % (2137183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.33 % (2137183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.33 % (2137203)Instruction limit reached!
% 0.35/0.33 % (2137203)------------------------------
% 0.35/0.33 % (2137203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.33 % (2137203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.33 % (2137183)CaDiCaL version: 2.1.3
% 0.35/0.33 % (2137183)Termination reason: Instruction limit
% 0.35/0.33 % (2137183)Termination phase: Saturation
% 0.35/0.33 % (2137203)CaDiCaL version: 2.1.3
% 0.35/0.33 % (2137203)Termination reason: Instruction limit
% 0.35/0.33 % (2137203)Termination phase: Property scanning
% 0.35/0.33 % (2137183)Time elapsed: 0.012 s
% 0.35/0.33 % (2137203)Time elapsed: 0.001 s
% 0.35/0.33 % (2137203)Peak memory usage: 10 MB
% 0.35/0.33 % (2137183)Peak memory usage: 12 MB
% 0.35/0.33 % (2137203)Instructions burned: 5 (million)
% 0.35/0.33 % (2137183)Instructions burned: 24 (million)
% 0.35/0.33 % (2137207)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.35/0.35 % (2137207)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1679431096:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.35/0.35 % (2137207)Instruction limit reached!
% 0.35/0.35 % (2137207)------------------------------
% 0.35/0.35 % (2137207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.35 % (2137207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.35 % (2137207)CaDiCaL version: 2.1.3
% 0.35/0.35 % (2137207)Termination reason: Instruction limit
% 0.35/0.35 % (2137207)Termination phase: Property scanning
% 0.35/0.35 % (2137207)Time elapsed: 0.002 s
% 0.35/0.35 % (2137207)Peak memory usage: 10 MB
% 0.35/0.35 % (2137207)Instructions burned: 9 (million)
% 0.35/0.35 % (2137204)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=765387527:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.35/0.35 % (2137204)Instruction limit reached!
% 0.35/0.35 % (2137204)------------------------------
% 0.35/0.35 % (2137204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.35 % (2137204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.35 % (2137204)CaDiCaL version: 2.1.3
% 0.35/0.35 % (2137204)Termination reason: Instruction limit
% 0.35/0.35 % (2137204)Termination phase: Property scanning
% 0.35/0.35 % (2137204)Time elapsed: 0.003 s
% 0.35/0.35 % (2137204)Peak memory usage: 11 MB
% 0.35/0.35 % (2137204)Instructions burned: 6 (million)
% 0.35/0.35 % (2137209)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1436183722:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.35/0.35 % (2137213)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
% 0.35/0.35 % (2137213)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.35/0.35 % (2137213)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=508588818:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.35/0.35 % (2137209)Instruction limit reached!
% 0.35/0.35 % (2137209)------------------------------
% 0.35/0.35 % (2137209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.35 % (2137209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.35 % (2137209)CaDiCaL version: 2.1.3
% 0.35/0.35 % (2137209)Termination reason: Instruction limit
% 0.35/0.35 % (2137209)Termination phase: Saturation
% 0.35/0.35 % (2137209)Time elapsed: 0.006 s
% 0.35/0.35 % (2137209)Peak memory usage: 12 MB
% 0.35/0.35 % (2137209)Instructions burned: 14 (million)
% 0.35/0.35 % (2137184)Instruction limit reached!
% 0.35/0.35 % (2137184)------------------------------
% 0.35/0.35 % (2137184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.35 % (2137184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.35 % (2137184)CaDiCaL version: 2.1.3
% 0.35/0.35 % (2137184)Termination reason: Instruction limit
% 0.35/0.35 % (2137184)Termination phase: Saturation
% 0.35/0.35 % (2137184)Time elapsed: 0.040 s
% 0.35/0.35 % (2137184)Peak memory usage: 13 MB
% 0.35/0.35 % (2137184)Instructions burned: 76 (million)
% 0.35/0.35 % (2137213)Instruction limit reached!
% 0.35/0.35 % (2137213)------------------------------
% 0.35/0.35 % (2137213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.35 % (2137213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.35 % (2137213)CaDiCaL version: 2.1.3
% 0.35/0.35 % (2137213)Termination reason: Instruction limit
% 0.35/0.35 % (2137213)Termination phase: Saturation
% 0.35/0.35 % (2137213)Time elapsed: 0.007 s
% 0.35/0.35 % (2137213)Peak memory usage: 12 MB
% 0.35/0.35 % (2137213)Instructions burned: 31 (million)
% 0.35/0.35 % (2137178)Instruction limit reached!
% 0.35/0.35 % (2137178)------------------------------
% 0.35/0.35 % (2137178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.35 % (2137178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.35 % (2137178)CaDiCaL version: 2.1.3
% 0.35/0.35 % (2137178)Termination reason: Instruction limit
% 0.35/0.35 % (2137178)Termination phase: Saturation
% 0.35/0.35 % (2137178)Time elapsed: 0.048 s
% 0.35/0.35 % (2137178)Peak memory usage: 13 MB
% 0.35/0.35 % (2137178)Instructions burned: 88 (million)
% 0.35/0.35 % (2137215)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=750091419:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.35/0.35 % (2137220)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=514026494:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.35/0.35 % (2137219)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.35/0.35 % (2137218)lrs+10_1_si=on:cs=on:random_seed=3309360181:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.35/0.35 % (2137219)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=1686456038:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.35/0.35 % (2137219)Instruction limit reached!
% 0.35/0.35 % (2137219)------------------------------
% 0.35/0.35 % (2137219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.35 % (2137219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.35 % (2137219)CaDiCaL version: 2.1.3
% 0.35/0.35 % (2137219)Termination reason: Instruction limit
% 0.35/0.35 % (2137219)Termination phase: Property scanning
% 0.35/0.35 % (2137219)Time elapsed: 0.002 s
% 0.35/0.35 % (2137219)Peak memory usage: 10 MB
% 0.35/0.35 % (2137219)Instructions burned: 4 (million)
% 0.35/0.35 % (2137218)Instruction limit reached!
% 0.35/0.35 % (2137218)------------------------------
% 0.35/0.35 % (2137218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.35 % (2137218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.35 % (2137218)CaDiCaL version: 2.1.3
% 0.35/0.35 % (2137218)Termination reason: Instruction limit
% 0.35/0.35 % (2137218)Termination phase: Function definition elimination
% 0.35/0.35 % (2137218)Time elapsed: 0.004 s
% 0.35/0.35 % (2137218)Peak memory usage: 10 MB
% 0.35/0.35 % (2137218)Instructions burned: 9 (million)
% 0.35/0.35 % (2137220)Instruction limit reached!
% 0.35/0.35 % (2137220)------------------------------
% 0.35/0.35 % (2137220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.35 % (2137220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.35 % (2137220)CaDiCaL version: 2.1.3
% 0.35/0.35 % (2137220)Termination reason: Instruction limit
% 0.35/0.35 % (2137220)Termination phase: Saturation
% 0.35/0.35 % (2137220)Time elapsed: 0.011 s
% 0.35/0.35 % (2137220)Peak memory usage: 13 MB
% 0.35/0.35 % (2137220)Instructions burned: 38 (million)
% 0.35/0.35 % (2137222)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=254884093:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.35/0.35 % (2137185)Instruction limit reached!
% 0.35/0.35 % (2137185)------------------------------
% 0.35/0.35 % (2137185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.35 % (2137185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.35 % (2137185)CaDiCaL version: 2.1.3
% 0.35/0.35 % (2137185)Termination reason: Instruction limit
% 0.35/0.35 % (2137185)Termination phase: Saturation
% 0.35/0.35 % (2137185)Time elapsed: 0.068 s
% 0.35/0.35 % (2137185)Peak memory usage: 14 MB
% 0.35/0.35 % (2137185)Instructions burned: 158 (million)
% 0.35/0.35 % (2137228)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=31943156:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.35/0.35 % (2137226)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1633490079:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.35/0.35 % (2137227)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=90827004:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.35/0.35 % (2137230)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=920229293:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.35/0.35 % (2137227)Instruction limit reached!
% 0.35/0.35 % (2137227)------------------------------
% 0.35/0.35 % (2137227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.35 % (2137227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.35 % (2137227)CaDiCaL version: 2.1.3
% 0.35/0.35 % (2137227)Termination reason: Instruction limit
% 0.35/0.35 % (2137227)Termination phase: Saturation
% 0.35/0.35 % (2137227)Time elapsed: 0.007 s
% 0.35/0.35 % (2137227)Peak memory usage: 12 MB
% 0.35/0.35 % (2137227)Instructions burned: 15 (million)
% 0.35/0.35 % (2137215)Instruction limit reached!
% 0.35/0.35 % (2137215)------------------------------
% 0.35/0.35 % (2137215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.35 % (2137215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.35 % (2137215)CaDiCaL version: 2.1.3
% 0.35/0.35 % (2137215)Termination reason: Instruction limit
% 0.35/0.35 % (2137215)Termination phase: Saturation
% 0.35/0.35 % (2137215)Time elapsed: 0.041 s
% 0.35/0.35 % (2137215)Peak memory usage: 12 MB
% 0.35/0.35 % (2137215)Instructions burned: 97 (million)
% 0.35/0.35 % (2137226)Instruction limit reached!
% 0.35/0.35 % (2137226)------------------------------
% 0.35/0.35 % (2137226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.35 % (2137226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.35 % (2137226)CaDiCaL version: 2.1.3
% 0.35/0.35 % (2137226)Termination reason: Instruction limit
% 0.35/0.35 % (2137226)Termination phase: Saturation
% 0.35/0.35 % (2137226)Time elapsed: 0.013 s
% 0.35/0.35 % (2137226)Peak memory usage: 12 MB
% 0.35/0.35 % (2137226)Instructions burned: 26 (million)
% 0.35/0.35 % (2137230)Instruction limit reached!
% 0.35/0.35 % (2137230)------------------------------
% 0.35/0.35 % (2137230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.35 % (2137230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.35 % (2137230)CaDiCaL version: 2.1.3
% 0.35/0.35 % (2137230)Termination reason: Instruction limit
% 0.35/0.35 % (2137230)Termination phase: Saturation
% 0.35/0.35 % (2137230)Time elapsed: 0.007 s
% 0.35/0.35 % (2137230)Peak memory usage: 12 MB
% 0.35/0.35 % (2137230)Instructions burned: 15 (million)
% 0.35/0.35 % (2137222) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2137164-2137222"...
% 0.35/0.35 % (2137222)...printing done.
% 0.35/0.35 % (2137222)Refutation found. Thanks to Tanya!
% 0.35/0.35 % SZS status Theorem for theBenchmark
% 0.35/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.35/0.35 % (2137222)------------------------------
% 0.35/0.35 % (2137222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.35 % (2137222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.35 % (2137222)CaDiCaL version: 2.1.3
% 0.35/0.35 % (2137222)Termination reason: Refutation
% 0.35/0.35 % (2137222)Time elapsed: 0.037 s
% 0.35/0.35 % (2137222)Peak memory usage: 13 MB
% 0.35/0.35 % (2137222)Instructions burned: 70 (million)
% 0.35/0.35 % (2137164)Success in time 0.139 s
% 0.35/0.35 % Vampire exiting
%------------------------------------------------------------------------------