%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU508^1 : 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 : n003.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 08:29:51 AM UTC 2026
% Result : Theorem 0.82s 0.38s
% Output : Refutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 7
% Syntax : Number of formulae : 73 ( 31 unt; 0 typ; 4 def)
% Number of atoms : 715 ( 166 equ; 0 cnn)
% Maximal formula atoms : 26 ( 9 avg)
% Number of connectives : 669 ( 37 ~; 41 |; 75 &; 345 @)
% ( 7 <=>; 134 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 45 >; 0 *; 0 +; 0 <<)
% Number of symbols : 79 ( 75 usr; 33 con; 0-4 aty)
% ( 30 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 121 ( 0 sgn 57 !; 6 ?; 121 :)
% 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,
setext: $o ).
thf(func_def_33,type,
emptyI: $o ).
thf(func_def_34,type,
noeltsimpempty: $o ).
thf(func_def_35,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_36,type,
vNOT: $o > $o ).
thf(func_def_37,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_38,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_39,type,
vIMP: $o > $o > $o ).
thf(func_def_40,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_41,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_42,type,
vIFF: $o > $o > $o ).
thf(func_def_43,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_44,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_45,type,
vAND: $o > $o > $o ).
thf(func_def_46,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_47,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_48,type,
vOR: $o > $o > $o ).
thf(func_def_51,type,
sK0: $i > $o ).
thf(func_def_54,type,
sK3: $i > $i ).
thf(func_def_55,type,
sK4: $i > $i > $i ).
thf(func_def_56,type,
sK5: $i > $i > $i ).
thf(func_def_57,type,
sK6: ( $i > $o ) > $i ).
thf(func_def_58,type,
sK7: $i > $i > $i ).
thf(func_def_59,type,
sK8: $i > $i ).
thf(func_def_60,type,
sK9: $i > $i ).
thf(func_def_61,type,
sK10: ( $i > $o ) > $i ).
thf(func_def_62,type,
sK11: $i > $i ).
thf(func_def_63,type,
sK12: $i > $i > $i ).
thf(func_def_64,type,
sK13: $i > $i > $i ).
thf(func_def_65,type,
sK14: $i > $i > $i ).
thf(func_def_66,type,
sK15: $i > $i > $i ).
thf(func_def_67,type,
sK16: $i > $i > $i > $i ).
thf(func_def_68,type,
sK17: ( $i > $i > $o ) > $i > $i ).
thf(func_def_69,type,
sK18: ( $i > $i > $o ) > $i > $i ).
thf(func_def_70,type,
sK19: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_71,type,
sK20: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_72,type,
sK21: $i > $i ).
thf(func_def_73,type,
sK22: $i > $i > $i ).
thf(func_def_74,type,
sK23: $i > $i > $i ).
thf(f14,axiom,
( dsetconstrI
= ( ! [X2: $i,X1: $i > $o,X0: $i] :
( ( in @ X2 @ X0 )
=> ( ( X1 @ X2 )
=> ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrI) ).
thf(f16,axiom,
( dsetconstrER
= ( ! [X1: $i > $o,X0: $i,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
=> ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrER) ).
thf(f27,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ! [X1: $i > $o,X2: $i,X0: $i] :
( ( in @ X2 @ X0 )
=> ( ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
<=> ( X1 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setbeta) ).
thf(f28,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ! [X1: $i > $o,X2: $i,X0: $i] :
( ( in @ X2 @ X0 )
=> ( ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
<=> ( X1 @ X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
thf(f31,plain,
( dsetconstrER
= ( ! [X0: $i > $o,X1: $i,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X1
@ ^ [X3: $i] : ( X0 @ X3 ) ) )
=> ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f32,plain,
( dsetconstrER
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( in @ Y0
@ ( dsetconstr @ Y1
@ ^ [Y3: $i] : ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f31]) ).
thf(f51,plain,
( dsetconstrI
= ( ! [X0: $i,X1: $i > $o,X2: $i] :
( ( in @ X0 @ X2 )
=> ( ( X1 @ X0 )
=> ( in @ X0
@ ( dsetconstr @ X2
@ ^ [X3: $i] : ( X1 @ X3 ) ) ) ) ) ) ),
inference(rectify,[],[f14]) ).
thf(f52,plain,
( dsetconstrI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( Y1 @ Y2 )
=> ( in @ Y2
@ ( dsetconstr @ Y0
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f51]) ).
thf(f65,plain,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ! [X0: $i > $o,X1: $i,X2: $i] :
( ( in @ X1 @ X2 )
=> ( ( in @ X1
@ ( dsetconstr @ X2
@ ^ [X3: $i] : ( X0 @ X3 ) ) )
<=> ( X0 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f28]) ).
thf(f66,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 )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ! [X1: $i,X0: $i > $o,X2: $i] :
( ( ( in @ X1 @ X2 )
= $true )
=> ( ( X0 @ X1 )
= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f65]) ).
thf(f81,plain,
( ? [X0: $i > $o,X1: $i,X2: $i] :
( ( ( X0 @ X1 )
!= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) )
& ( ( in @ X1 @ X2 )
= $true ) )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $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,[],[f66]) ).
thf(f82,plain,
( ( emptysetE = $true )
& ( emptysetAx = $true )
& ( emptysetimpfalse = $true )
& ( exuE3e = $true )
& ( omegaSAx = $true )
& ( wellorderingAx = $true )
& ( setextAx = $true )
& ( exuE1 = $true )
& ( setunionAx = $true )
& ( foundationAx = $true )
& ( noeltsimpempty = $true )
& ( replAx = $true )
& ( powersetAx = $true )
& ( setext = $true )
& ( emptyI = $true )
& ? [X0: $i > $o,X1: $i,X2: $i] :
( ( ( X0 @ X1 )
!= ( in @ X1
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X0 @ Y0 ) ) ) )
& ( ( in @ X1 @ X2 )
= $true ) )
& ( omegaIndAx = $true )
& ( prop2setE = $true )
& ( dsetconstrEL = $true )
& ( notinemptyset = $true )
& ( descrp = $true )
& ( dsetconstrI = $true )
& ( setadjoinAx = $true )
& ( omega0Ax = $true )
& ( dsetconstrER = $true ) ),
inference(flattening,[],[f81]) ).
thf(f83,plain,
( ( emptysetE = $true )
& ( emptysetAx = $true )
& ( emptysetimpfalse = $true )
& ( exuE3e = $true )
& ( omegaSAx = $true )
& ( wellorderingAx = $true )
& ( setextAx = $true )
& ( exuE1 = $true )
& ( setunionAx = $true )
& ( foundationAx = $true )
& ( noeltsimpempty = $true )
& ( replAx = $true )
& ( powersetAx = $true )
& ( setext = $true )
& ( emptyI = $true )
& ( ( in @ sK1
@ ( dsetconstr @ sK2
@ ^ [Y0: $i] : ( sK0 @ Y0 ) ) )
!= ( sK0 @ sK1 ) )
& ( ( in @ sK1 @ sK2 )
= $true )
& ( omegaIndAx = $true )
& ( prop2setE = $true )
& ( dsetconstrEL = $true )
& ( notinemptyset = $true )
& ( descrp = $true )
& ( dsetconstrI = $true )
& ( setadjoinAx = $true )
& ( omega0Ax = $true )
& ( dsetconstrER = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f82]) ).
thf(f88,plain,
dsetconstrER = $true,
inference(cnf_transformation,[],[f83]) ).
thf(f91,plain,
dsetconstrI = $true,
inference(cnf_transformation,[],[f83]) ).
thf(f97,plain,
( ( in @ sK1 @ sK2 )
= $true ),
inference(cnf_transformation,[],[f83]) ).
thf(f98,plain,
( ( in @ sK1
@ ( dsetconstr @ sK2
@ ^ [Y0: $i] : ( sK0 @ Y0 ) ) )
!= ( sK0 @ sK1 ) ),
inference(cnf_transformation,[],[f83]) ).
thf(f117,plain,
( dsetconstrI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( Y1 @ Y2 )
=> ( in @ Y2
@ ( dsetconstr @ Y0
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f52]) ).
thf(f118,plain,
( dsetconstrER
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( in @ Y0
@ ( dsetconstr @ Y1
@ ^ [Y3: $i] : ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f143,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( Y1 @ Y2 )
=> ( in @ Y2
@ ( dsetconstr @ Y0
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f117,f91]) ).
thf(f144,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( in @ Y0
@ ( dsetconstr @ Y1
@ ^ [Y3: $i] : ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y0 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f118,f88]) ).
thf(f170,plain,
( ( ( in @ sK1
@ ( dsetconstr @ sK2
@ ^ [Y0: $i] : ( sK0 @ Y0 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= $true ) ),
inference(xor_proxy_clausification,[],[f98]) ).
thf(f171,plain,
( ( $false
= ( sK0 @ sK1 ) )
| ( $false
= ( in @ sK1
@ ( dsetconstr @ sK2
@ ^ [Y0: $i] : ( sK0 @ Y0 ) ) ) ) ),
inference(xor_proxy_clausification,[],[f98]) ).
thf(f172,plain,
( ( $false
= ( sK0 @ sK1 ) )
| ( $false
= ( in @ sK1 @ ( dsetconstr @ sK2 @ sK0 ) ) ) ),
inference(beta-eta_normalization,[],[f171]) ).
thf(f173,plain,
( ( ( sK0 @ sK1 )
= $true )
| ( ( in @ sK1 @ ( dsetconstr @ sK2 @ sK0 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f170]) ).
thf(f174,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( in @ Y0
@ ( dsetconstr @ Y1
@ ^ [Y3: $i] : ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f144]) ).
thf(f175,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( in @ X1 @ ( dsetconstr @ Y0 @ Y1 ) )
=> ( Y1 @ X1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f174]) ).
thf(f176,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( in @ X1 @ ( dsetconstr @ Y0 @ Y1 ) )
=> ( Y1 @ X1 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f175]) ).
thf(f177,plain,
! [X2: $i,X1: $i] :
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( in @ X1 @ ( dsetconstr @ X2 @ Y0 ) )
=> ( Y0 @ X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f176]) ).
thf(f178,plain,
! [X2: $i,X3: $i > $o,X1: $i] :
( ( ^ [Y0: $i > $o] :
( ( in @ X1 @ ( dsetconstr @ X2 @ Y0 ) )
=> ( Y0 @ X1 ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f177]) ).
thf(f179,plain,
! [X2: $i,X3: $i > $o,X1: $i] :
( ( ( in @ X1 @ ( dsetconstr @ X2 @ X3 ) )
=> ( X3 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f178]) ).
thf(f180,plain,
! [X2: $i,X3: $i > $o,X1: $i] :
( ( $false
= ( in @ X1 @ ( dsetconstr @ X2 @ X3 ) ) )
| ( ( X3 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f179]) ).
thf(f450,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( Y1 @ Y2 )
=> ( in @ Y2
@ ( dsetconstr @ Y0
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f143]) ).
thf(f451,plain,
! [X1: $i] :
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X1 )
=> ( ( Y0 @ Y1 )
=> ( in @ Y1 @ ( dsetconstr @ X1 @ Y0 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f450]) ).
thf(f452,plain,
! [X2: $i > $o,X1: $i] :
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X1 )
=> ( ( Y0 @ Y1 )
=> ( in @ Y1 @ ( dsetconstr @ X1 @ Y0 ) ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f451]) ).
thf(f453,plain,
! [X2: $i > $o,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( ( X2 @ Y0 )
=> ( in @ Y0 @ ( dsetconstr @ X1 @ X2 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f452]) ).
thf(f454,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( ( X2 @ Y0 )
=> ( in @ Y0 @ ( dsetconstr @ X1 @ X2 ) ) ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f453]) ).
thf(f455,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ( in @ X3 @ X1 )
=> ( ( X2 @ X3 )
=> ( in @ X3 @ ( dsetconstr @ X1 @ X2 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f454]) ).
thf(f456,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ( in @ X3 @ X1 )
= $false )
| ( $true
= ( ( X2 @ X3 )
=> ( in @ X3 @ ( dsetconstr @ X1 @ X2 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f455]) ).
thf(f457,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ( in @ X3 @ ( dsetconstr @ X1 @ X2 ) )
= $true )
| ( ( in @ X3 @ X1 )
= $false )
| ( $false
= ( X2 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f456]) ).
thf(f459,definition,
( spl24_1
<=> ( $false
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl24_1])],[avatar_definition]) ).
thf(f461,plain,
( ( $false
= ( sK0 @ sK1 ) )
| ~ spl24_1 ),
inference(avatar_component_clause,[],[f459]) ).
thf(f463,definition,
( spl24_2
<=> ( $false
= ( in @ sK1 @ ( dsetconstr @ sK2 @ sK0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl24_2])],[avatar_definition]) ).
thf(f465,plain,
( ( $false
= ( in @ sK1 @ ( dsetconstr @ sK2 @ sK0 ) ) )
| ~ spl24_2 ),
inference(avatar_component_clause,[],[f463]) ).
thf(f466,plain,
( spl24_1
| spl24_2 ),
inference(avatar_split_clause,[],[f172,f463,f459]) ).
thf(f468,definition,
( spl24_3
<=> ( ( in @ sK1 @ ( dsetconstr @ sK2 @ sK0 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl24_3])],[avatar_definition]) ).
thf(f470,plain,
( ( ( in @ sK1 @ ( dsetconstr @ sK2 @ sK0 ) )
= $true )
| ~ spl24_3 ),
inference(avatar_component_clause,[],[f468]) ).
thf(f472,definition,
( spl24_4
<=> ( ( sK0 @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl24_4])],[avatar_definition]) ).
thf(f474,plain,
( ( ( sK0 @ sK1 )
= $true )
| ~ spl24_4 ),
inference(avatar_component_clause,[],[f472]) ).
thf(f475,plain,
( spl24_3
| spl24_4 ),
inference(avatar_split_clause,[],[f173,f472,f468]) ).
thf(f555,plain,
( ( $false = $true )
| ( ( sK0 @ sK1 )
= $true )
| ~ spl24_3 ),
inference(superposition,[],[f180,f470]) ).
thf(f558,plain,
( ( ( sK0 @ sK1 )
= $true )
| ~ spl24_3 ),
inference(trivial_inequality_removal,[],[f555]) ).
thf(f563,plain,
( ( $false = $true )
| ~ spl24_1
| ~ spl24_3 ),
inference(forward_demodulation,[],[f558,f461]) ).
thf(f564,plain,
( $false
| ~ spl24_1
| ~ spl24_3 ),
inference(trivial_inequality_removal,[],[f563]) ).
thf(f565,plain,
( ~ spl24_1
| ~ spl24_3 ),
inference(avatar_contradiction_clause,[],[f564]) ).
thf(f568,plain,
( ( $false = $true )
| ( $false
= ( in @ sK1 @ sK2 ) )
| ( $false
= ( sK0 @ sK1 ) )
| ~ spl24_2 ),
inference(superposition,[],[f457,f465]) ).
thf(f569,plain,
( ( $false
= ( in @ sK1 @ sK2 ) )
| ( $false
= ( sK0 @ sK1 ) )
| ~ spl24_2 ),
inference(trivial_inequality_removal,[],[f568]) ).
thf(f572,plain,
( ( $false
= ( sK0 @ sK1 ) )
| ( $false = $true )
| ~ spl24_2 ),
inference(forward_demodulation,[],[f569,f97]) ).
thf(f573,plain,
( ( $false
= ( sK0 @ sK1 ) )
| ~ spl24_2 ),
inference(trivial_inequality_removal,[],[f572]) ).
thf(f576,plain,
( spl24_1
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f573,f463,f459]) ).
thf(f579,plain,
( ( $false = $true )
| ~ spl24_1
| ~ spl24_4 ),
inference(superposition,[],[f474,f461]) ).
thf(f582,plain,
( $false
| ~ spl24_1
| ~ spl24_4 ),
inference(trivial_inequality_removal,[],[f579]) ).
thf(f583,plain,
( ~ spl24_1
| ~ spl24_4 ),
inference(avatar_contradiction_clause,[],[f582]) ).
cnf(s1,plain,
( spl24_1
| spl24_2 ),
inference(sat_conversion,[],[f466]) ).
cnf(s2,plain,
( spl24_3
| spl24_4 ),
inference(sat_conversion,[],[f475]) ).
cnf(s5,plain,
( ~ spl24_1
| ~ spl24_3 ),
inference(sat_conversion,[],[f565]) ).
cnf(s6,plain,
( spl24_1
| ~ spl24_2 ),
inference(sat_conversion,[],[f576]) ).
cnf(s8,plain,
( ~ spl24_1
| ~ spl24_4 ),
inference(sat_conversion,[],[f583]) ).
cnf(s9,plain,
spl24_1,
inference(rat,[],[s1,s6]) ).
cnf(s10,plain,
~ spl24_4,
inference(rat,[],[s8,s9]) ).
cnf(s11,plain,
~ spl24_3,
inference(rat,[],[s5,s9]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s2,s10,s11]) ).
thf(f585,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU508^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 13:48:59 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.38 % (2524981)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.38 % (2524990)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3176165775:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.38 % (2524992)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.38 % (2524992)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
% 0.22/0.38 % (2524990)Instruction limit reached!
% 0.22/0.38 % (2524990)------------------------------
% 0.22/0.38 % (2524990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.38 % (2524990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.38 % (2524990)CaDiCaL version: 2.1.3
% 0.22/0.38 % (2524990)Termination reason: Instruction limit
% 0.22/0.38 % (2524990)Termination phase: Saturation
% 0.22/0.38 % (2524990)Time elapsed: 0.006 s
% 0.22/0.38 % (2524990)Peak memory usage: 11 MB
% 0.22/0.38 % (2524990)Instructions burned: 24 (million)
% 0.22/0.38 % (2524986)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=934003174:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.38 % (2524987)lrs+10_16_si=on:nwc=1.5:random_seed=943258802:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.38 % (2524988)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=817424907:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.38 % (2524991)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1457778428:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.38 % (2524989)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=4217715479:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.22/0.38 % (2524992)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=1192534327:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.38 % (2524988)Instruction limit reached!
% 0.22/0.38 % (2524988)------------------------------
% 0.22/0.38 % (2524988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.38 % (2524988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.38 % (2524988)CaDiCaL version: 2.1.3
% 0.22/0.38 % (2524988)Termination reason: Instruction limit
% 0.22/0.38 % (2524988)Termination phase: Property scanning
% 0.22/0.38 % (2524988)Time elapsed: 0.002 s
% 0.22/0.38 % (2524988)Peak memory usage: 10 MB
% 0.22/0.38 % (2524988)Instructions burned: 4 (million)
% 0.22/0.38 % (2524987)Instruction limit reached!
% 0.22/0.38 % (2524987)------------------------------
% 0.22/0.38 % (2524987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.38 % (2524987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.38 % (2524987)CaDiCaL version: 2.1.3
% 0.22/0.38 % (2524987)Termination reason: Instruction limit
% 0.22/0.38 % (2524987)Termination phase: Saturation
% 0.22/0.38 % (2524987)Time elapsed: 0.008 s
% 0.22/0.38 % (2524987)Peak memory usage: 11 MB
% 0.22/0.38 % (2524987)Instructions burned: 18 (million)
% 0.22/0.38 % (2524994)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3688840706:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.38 % (2524994)Instruction limit reached!
% 0.22/0.38 % (2524994)------------------------------
% 0.22/0.38 % (2524994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.38 % (2524994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.38 % (2524994)CaDiCaL version: 2.1.3
% 0.22/0.38 % (2524994)Termination reason: Instruction limit
% 0.22/0.38 % (2524994)Termination phase: Property scanning
% 0.22/0.38 % (2524994)Time elapsed: 0.001 s
% 0.22/0.38 % (2524994)Peak memory usage: 10 MB
% 0.22/0.38 % (2524994)Instructions burned: 4 (million)
% 0.22/0.38 % (2525004)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4217090774:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.82/0.38 % (2525002)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.82/0.38 % (2525004)Instruction limit reached!
% 0.82/0.38 % (2525004)------------------------------
% 0.82/0.38 % (2525004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (2525004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (2525004)CaDiCaL version: 2.1.3
% 0.82/0.38 % (2525004)Termination reason: Instruction limit
% 0.82/0.38 % (2525004)Termination phase: Saturation
% 0.82/0.38 % (2525004)Time elapsed: 0.003 s
% 0.82/0.38 % (2525004)Peak memory usage: 11 MB
% 0.82/0.38 % (2525004)Instructions burned: 15 (million)
% 0.82/0.38 % (2525002)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3540611251:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.82/0.38 % (2525002)Instruction limit reached!
% 0.82/0.38 % (2525002)------------------------------
% 0.82/0.38 % (2525002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (2525002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (2525002)CaDiCaL version: 2.1.3
% 0.82/0.38 % (2525002)Termination reason: Instruction limit
% 0.82/0.38 % (2525002)Termination phase: Property scanning
% 0.82/0.38 % (2525002)Time elapsed: 0.003 s
% 0.82/0.38 % (2525002)Peak memory usage: 10 MB
% 0.82/0.38 % (2525002)Instructions burned: 7 (million)
% 0.82/0.38 % (2525001)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=194698196:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.82/0.38 % (2525006)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
% 0.82/0.38 % (2525006)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.82/0.38 % (2525006)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3335191197:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.82/0.38 % (2525001)Instruction limit reached!
% 0.82/0.38 % (2525001)------------------------------
% 0.82/0.38 % (2525001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (2525001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (2525001)CaDiCaL version: 2.1.3
% 0.82/0.38 % (2525001)Termination reason: Instruction limit
% 0.82/0.38 % (2525001)Termination phase: Property scanning
% 0.82/0.38 % (2525001)Time elapsed: 0.005 s
% 0.82/0.38 % (2525001)Peak memory usage: 10 MB
% 0.82/0.38 % (2525001)Instructions burned: 6 (million)
% 0.82/0.38 % (2524991)Instruction limit reached!
% 0.82/0.38 % (2524991)------------------------------
% 0.82/0.38 % (2524991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (2524991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (2524991)CaDiCaL version: 2.1.3
% 0.82/0.38 % (2524991)Termination reason: Instruction limit
% 0.82/0.38 % (2524991)Termination phase: Saturation
% 0.82/0.38 % (2524991)Time elapsed: 0.040 s
% 0.82/0.38 % (2524991)Peak memory usage: 13 MB
% 0.82/0.38 % (2524991)Instructions burned: 76 (million)
% 0.82/0.38 % (2525006)Instruction limit reached!
% 0.82/0.38 % (2525006)------------------------------
% 0.82/0.38 % (2525006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (2525006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (2525006)CaDiCaL version: 2.1.3
% 0.82/0.38 % (2525006)Termination reason: Instruction limit
% 0.82/0.38 % (2525006)Termination phase: Saturation
% 0.82/0.38 % (2525006)Time elapsed: 0.008 s
% 0.82/0.38 % (2525006)Peak memory usage: 12 MB
% 0.82/0.38 % (2525006)Instructions burned: 34 (million)
% 0.82/0.38 % (2524986)Instruction limit reached!
% 0.82/0.38 % (2524986)------------------------------
% 0.82/0.38 % (2524986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (2524986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (2524986)CaDiCaL version: 2.1.3
% 0.82/0.38 % (2524986)Termination reason: Instruction limit
% 0.82/0.38 % (2524986)Termination phase: Saturation
% 0.82/0.38 % (2524986)Time elapsed: 0.048 s
% 0.82/0.38 % (2524986)Peak memory usage: 13 MB
% 0.82/0.38 % (2524986)Instructions burned: 88 (million)
% 0.82/0.38 % (2525008)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=289492682:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.82/0.38 % (2525012)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.82/0.38 % (2525013)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=457595551:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.82/0.38 % (2525011)lrs+10_1_si=on:cs=on:random_seed=4187992912:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.82/0.38 % (2525012)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=3823479788:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.82/0.38 % (2525012)Instruction limit reached!
% 0.82/0.38 % (2525012)------------------------------
% 0.82/0.38 % (2525012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (2525012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (2525012)CaDiCaL version: 2.1.3
% 0.82/0.38 % (2525012)Termination reason: Instruction limit
% 0.82/0.38 % (2525012)Termination phase: shuffling
% 0.82/0.38 % (2525012)Time elapsed: 0.001 s
% 0.82/0.38 % (2525012)Peak memory usage: 9 MB
% 0.82/0.38 % (2525012)Instructions burned: 3 (million)
% 0.82/0.38 % (2525011)Instruction limit reached!
% 0.82/0.38 % (2525011)------------------------------
% 0.82/0.38 % (2525011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (2525011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (2525011)CaDiCaL version: 2.1.3
% 0.82/0.38 % (2525011)Termination reason: Instruction limit
% 0.82/0.38 % (2525011)Termination phase: Property scanning
% 0.82/0.38 % (2525011)Time elapsed: 0.004 s
% 0.82/0.38 % (2525011)Peak memory usage: 11 MB
% 0.82/0.38 % (2525011)Instructions burned: 8 (million)
% 0.82/0.38 % (2524992)Instruction limit reached!
% 0.82/0.38 % (2524992)------------------------------
% 0.82/0.38 % (2524992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (2524992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (2524992)CaDiCaL version: 2.1.3
% 0.82/0.38 % (2524992)Termination reason: Instruction limit
% 0.82/0.38 % (2524992)Termination phase: Saturation
% 0.82/0.38 % (2524992)Time elapsed: 0.067 s
% 0.82/0.38 % (2524992)Peak memory usage: 13 MB
% 0.82/0.38 % (2524992)Instructions burned: 157 (million)
% 0.82/0.38 % (2525014)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3681292086:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.82/0.38 % (2525013)Instruction limit reached!
% 0.82/0.38 % (2525013)------------------------------
% 0.82/0.38 % (2525013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (2525013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (2525013)CaDiCaL version: 2.1.3
% 0.82/0.38 % (2525013)Termination reason: Instruction limit
% 0.82/0.38 % (2525013)Termination phase: Saturation
% 0.82/0.38 % (2525013)Time elapsed: 0.012 s
% 0.82/0.38 % (2525013)Peak memory usage: 12 MB
% 0.82/0.38 % (2525013)Instructions burned: 40 (million)
% 0.82/0.38 % (2525023)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4122910076:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.82/0.38 % (2525019)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3390615972:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.82/0.38 % (2525020)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1646301481:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.82/0.38 % (2525023)Instruction limit reached!
% 0.82/0.38 % (2525023)------------------------------
% 0.82/0.38 % (2525023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (2525023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (2525023)CaDiCaL version: 2.1.3
% 0.82/0.38 % (2525023)Termination reason: Instruction limit
% 0.82/0.38 % (2525023)Termination phase: Saturation
% 0.82/0.38 % (2525023)Time elapsed: 0.004 s
% 0.82/0.38 % (2525023)Peak memory usage: 12 MB
% 0.82/0.38 % (2525023)Instructions burned: 16 (million)
% 0.82/0.38 % (2525014) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2524981-2525014"...
% 0.82/0.38 % (2525022)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=392715514:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.82/0.38 % (2525008)Instruction limit reached!
% 0.82/0.38 % (2525008)------------------------------
% 0.82/0.38 % (2525008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.38 % (2525008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.38 % (2525008)CaDiCaL version: 2.1.3
% 0.82/0.38 % (2525008)Termination reason: Instruction limit
% 0.82/0.38 % (2525008)Termination phase: Saturation
% 0.82/0.38 % (2525008)Time elapsed: 0.037 s
% 0.82/0.38 % (2525008)Peak memory usage: 12 MB
% 0.82/0.38 % (2525008)Instructions burned: 87 (million)
% 0.82/0.38 % (2525014)...printing done.
% 0.82/0.38 % (2525014)Refutation found. Thanks to Tanya!
% 0.82/0.38 % SZS status Theorem for theBenchmark
% 0.82/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.82/0.39 % (2525014)------------------------------
% 0.82/0.39 % (2525014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.39 % (2525014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.39 % (2525014)CaDiCaL version: 2.1.3
% 0.82/0.39 % (2525014)Termination reason: Refutation
% 0.82/0.39 % (2525014)Time elapsed: 0.020 s
% 0.82/0.39 % (2525014)Peak memory usage: 13 MB
% 0.82/0.39 % (2525014)Instructions burned: 38 (million)
% 0.82/0.39 % (2524981)Success in time 0.13 s
% 0.82/0.39 % Vampire exiting
%------------------------------------------------------------------------------