%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU523^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 08:32:17 AM UTC 2026
% Result : Theorem 83.76s 12.07s
% Output : Refutation 83.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 4
% Syntax : Number of formulae : 44 ( 19 unt; 0 typ; 2 def)
% Number of atoms : 870 ( 226 equ; 0 cnn)
% Maximal formula atoms : 44 ( 19 avg)
% Number of connectives : 634 ( 36 ~; 31 |; 136 &; 238 @)
% ( 4 <=>; 172 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 10 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 100 ( 95 usr; 48 con; 0-4 aty)
% ( 8 !!; 9 ??; 0 @@+; 0 @@-)
% Number of variables : 74 ( 0 sgn 46 !; 8 ?; 74 :)
% 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,
setbeta: $o ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_37,type,
nonemptyE1: $o ).
thf(func_def_38,type,
nonemptyI: $o ).
thf(func_def_39,type,
nonemptyI1: $o ).
thf(func_def_40,type,
setadjoinIL: $o ).
thf(func_def_41,type,
emptyinunitempty: $o ).
thf(func_def_42,type,
setadjoinIR: $o ).
thf(func_def_43,type,
setadjoinE: $o ).
thf(func_def_44,type,
setadjoinOr: $o ).
thf(func_def_45,type,
setoftrueEq: $o ).
thf(func_def_46,type,
powersetI: $o ).
thf(func_def_47,type,
emptyinPowerset: $o ).
thf(func_def_48,type,
emptyInPowerset: $o ).
thf(func_def_49,type,
powersetE: $o ).
thf(func_def_50,type,
setunionI: $o ).
thf(func_def_51,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_52,type,
vAND: $o > $o > $o ).
thf(func_def_53,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_54,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_55,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_56,type,
vIMP: $o > $o > $o ).
thf(func_def_57,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_58,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_59,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_60,type,
vIFF: $o > $o > $o ).
thf(func_def_61,type,
vNOT: $o > $o ).
thf(func_def_62,type,
vOR: $o > $o > $o ).
thf(func_def_63,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_64,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_69,type,
sK2: $o ).
thf(func_def_70,type,
sK3: $i > $i > $i ).
thf(func_def_71,type,
sK4: $i > $i ).
thf(func_def_72,type,
sK5: $i > $i ).
thf(func_def_73,type,
sK6: $i > $i ).
thf(func_def_74,type,
sK7: $i > $i > $i ).
thf(func_def_75,type,
sK8: $i > $i > $i ).
thf(func_def_76,type,
sK9: ( $i > $o ) > $i ).
thf(func_def_77,type,
sK10: ( $i > $o ) > $i > $i ).
thf(func_def_78,type,
sK11: ( $i > $o ) > $i ).
thf(func_def_79,type,
sK12: ( $i > $o ) > $i > $i ).
thf(func_def_80,type,
sK13: ( $i > $o ) > $i > $i ).
thf(func_def_81,type,
sK14: $i > $i ).
thf(func_def_82,type,
sK15: $i > $i > $i > $i ).
thf(func_def_83,type,
sK16: $i > $i > $i ).
thf(func_def_84,type,
sK17: $i > $i > $i ).
thf(func_def_85,type,
sK18: $i > $i > $i ).
thf(func_def_86,type,
sK19: $i > $i ).
thf(func_def_87,type,
sK20: $i > ( $i > $i > $o ) > $i ).
thf(func_def_88,type,
sK21: $i > ( $i > $i > $o ) > $i ).
thf(func_def_89,type,
sK22: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_90,type,
sK23: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_91,type,
sK24: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_92,type,
sK25: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_93,type,
sK26: $i > $i ).
thf(func_def_94,type,
sK27: $i > $i > $i ).
thf(func_def_95,type,
sK28: $i > $i > $i ).
thf(func_def_96,type,
sK29: $i > $i > $i ).
thf(f6,axiom,
( setunionAx
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( setunion @ X0 ) )
<=> ? [X2: $i] :
( ( in @ X2 @ X0 )
& ( in @ X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionAx) ).
thf(f43,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
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( setunion @ X0 ) )
=> ! [X2: $o] :
( ! [X3: $i] :
( ( in @ X1 @ X3 )
=> ( ( in @ X3 @ X0 )
=> X2 ) )
=> X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setunionE) ).
thf(f44,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
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( setunion @ X0 ) )
=> ! [X2: $o] :
( ! [X3: $i] :
( ( in @ X1 @ X3 )
=> ( ( in @ X3 @ X0 )
=> X2 ) )
=> X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
thf(f55,plain,
( setunionAx
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( setunion @ X0 ) )
<=> ? [X2: $i] :
( ( in @ X2 @ X0 )
& ( in @ X1 @ X2 ) ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f56,plain,
( setunionAx
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( setunion @ Y1 ) )
= ( ?? @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
& ( in @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f55]) ).
thf(f124,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
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( setunion @ X0 ) )
=> ! [X2: $o] :
( ! [X3: $i] :
( ( in @ X1 @ X3 )
=> ( ( in @ X3 @ X0 )
=> X2 ) )
=> X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f44]) ).
thf(f125,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 )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( setunion @ X0 ) )
= $true )
=> ! [X2: $o] :
( ! [X3: $i] :
( ( ( in @ X1 @ X3 )
= $true )
=> ( ( ( in @ X3 @ X0 )
= $true )
=> ( $true = X2 ) ) )
=> ( $true = X2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f124]) ).
thf(f126,plain,
( ? [X0: $i,X1: $i] :
( ? [X2: $o] :
( ( $true != X2 )
& ! [X3: $i] :
( ( $true = X2 )
| ( ( in @ X3 @ X0 )
!= $true )
| ( ( in @ X1 @ X3 )
!= $true ) ) )
& ( ( in @ X1 @ ( setunion @ X0 ) )
= $true ) )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $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,[],[f125]) ).
thf(f127,plain,
( ? [X0: $i,X1: $i] :
( ? [X2: $o] :
( ( $true != X2 )
& ! [X3: $i] :
( ( $true = X2 )
| ( ( in @ X3 @ X0 )
!= $true )
| ( ( in @ X1 @ X3 )
!= $true ) ) )
& ( ( in @ X1 @ ( setunion @ X0 ) )
= $true ) )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $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(flattening,[],[f126]) ).
thf(f128,plain,
( ( $true != sK2 )
& ! [X3: $i] :
( ( $true = sK2 )
| ( $true
!= ( in @ X3 @ sK0 ) )
| ( $true
!= ( in @ sK1 @ X3 ) ) )
& ( $true
= ( in @ sK1 @ ( setunion @ sK0 ) ) )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $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(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f127]) ).
thf(f134,plain,
( setunionAx
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( setunion @ Y1 ) )
= ( ?? @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
& ( in @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f56]) ).
thf(f175,plain,
setunionAx = $true,
inference(cnf_transformation,[],[f128]) ).
thf(f210,plain,
( $true
= ( in @ sK1 @ ( setunion @ sK0 ) ) ),
inference(cnf_transformation,[],[f128]) ).
thf(f211,plain,
! [X3: $i] :
( ( $true = sK2 )
| ( $true
!= ( in @ X3 @ sK0 ) )
| ( $true
!= ( in @ sK1 @ X3 ) ) ),
inference(cnf_transformation,[],[f128]) ).
thf(f212,plain,
$true != sK2,
inference(cnf_transformation,[],[f128]) ).
thf(f219,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( setunion @ Y1 ) )
= ( ?? @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
& ( in @ Y2 @ Y1 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f134,f175]) ).
thf(f645,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( setunion @ Y1 ) )
= ( ?? @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
& ( in @ Y2 @ Y1 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f219]) ).
thf(f646,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ ( setunion @ Y0 ) )
= ( ?? @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ Y1 )
& ( in @ Y1 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f645]) ).
thf(f647,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ ( setunion @ Y0 ) )
= ( ?? @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ Y1 )
& ( in @ Y1 @ Y0 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f646]) ).
thf(f648,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( in @ X1 @ ( setunion @ X2 ) )
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ Y0 )
& ( in @ Y0 @ X2 ) ) ) ) ),
inference(beta-eta_normalization,[],[f647]) ).
thf(f649,plain,
! [X2: $i,X1: $i] :
( ( in @ X1 @ ( setunion @ X2 ) )
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ Y0 )
& ( in @ Y0 @ X2 ) ) ) ),
inference(iff_proxy_clausification,[],[f648]) ).
thf(f651,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( setunion @ X2 ) ) )
| ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ Y0 )
& ( in @ Y0 @ X2 ) ) ) ) ),
inference(iff_proxy_clausification,[],[f649]) ).
thf(f652,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( setunion @ X2 ) ) )
| ( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ Y0 )
& ( in @ Y0 @ X2 ) )
@ ( sK27 @ X1 @ X2 ) ) ) ),
inference(sigma_proxy_clausification,[],[f651]) ).
thf(f653,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( setunion @ X2 ) ) )
| ( $true
= ( ( in @ X1 @ ( sK27 @ X1 @ X2 ) )
& ( in @ ( sK27 @ X1 @ X2 ) @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f652]) ).
thf(f654,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( sK27 @ X1 @ X2 ) @ X2 ) )
| ( $false
= ( in @ X1 @ ( setunion @ X2 ) ) ) ),
inference(and_proxy_clausification,[],[f653]) ).
thf(f655,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ X1 @ ( sK27 @ X1 @ X2 ) ) )
| ( $false
= ( in @ X1 @ ( setunion @ X2 ) ) ) ),
inference(and_proxy_clausification,[],[f653]) ).
thf(f702,definition,
( spl30_1
<=> ! [X3: $i] :
( ( $true
!= ( in @ X3 @ sK0 ) )
| ( $true
!= ( in @ sK1 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
thf(f703,plain,
( ! [X3: $i] :
( ( $true
!= ( in @ sK1 @ X3 ) )
| ( $true
!= ( in @ X3 @ sK0 ) ) )
| ~ spl30_1 ),
inference(avatar_component_clause,[],[f702]) ).
thf(f705,definition,
( spl30_2
<=> ( $true = sK2 ) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
thf(f708,plain,
( spl30_1
| spl30_2 ),
inference(avatar_split_clause,[],[f211,f705,f702]) ).
thf(f709,plain,
~ spl30_2,
inference(avatar_split_clause,[],[f212,f705]) ).
thf(f2705,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( in @ ( sK27 @ sK1 @ X0 ) @ sK0 ) )
| ( $false
= ( in @ sK1 @ ( setunion @ X0 ) ) ) )
| ~ spl30_1 ),
inference(constrained_superposition,[],[f703,f655]) ).
thf(f2712,plain,
( ! [X0: $i] :
( ( $true
!= ( in @ ( sK27 @ sK1 @ X0 ) @ sK0 ) )
| ( $false
= ( in @ sK1 @ ( setunion @ X0 ) ) ) )
| ~ spl30_1 ),
inference(trivial_inequality_removal,[],[f2705]) ).
thf(f2820,plain,
( ( $true != $true )
| ( $false
= ( in @ sK1 @ ( setunion @ sK0 ) ) )
| ( $false
= ( in @ sK1 @ ( setunion @ sK0 ) ) )
| ~ spl30_1 ),
inference(constrained_superposition,[],[f2712,f654]) ).
thf(f2830,plain,
( ( $true != $true )
| ( $false
= ( in @ sK1 @ ( setunion @ sK0 ) ) )
| ~ spl30_1 ),
inference(duplicate_literal_removal,[],[f2820]) ).
thf(f2831,plain,
( ( $false
= ( in @ sK1 @ ( setunion @ sK0 ) ) )
| ~ spl30_1 ),
inference(trivial_inequality_removal,[],[f2830]) ).
thf(f2834,plain,
( ( $false = $true )
| ~ spl30_1 ),
inference(constrained_superposition,[],[f2831,f210]) ).
thf(f2866,plain,
( $false
| ~ spl30_1 ),
inference(trivial_inequality_removal,[],[f2834]) ).
thf(f2867,plain,
~ spl30_1,
inference(avatar_contradiction_clause,[],[f2866]) ).
cnf(s3,plain,
( spl30_1
| spl30_2 ),
inference(sat_conversion,[],[f708]) ).
cnf(s5,plain,
~ spl30_2,
inference(sat_conversion,[],[f709]) ).
cnf(s692,plain,
~ spl30_1,
inference(sat_conversion,[],[f2867]) ).
cnf(s705,plain,
$false,
inference(rat,[],[s3,s5,s692]) ).
thf(f2869,plain,
$false,
inference(avatar_sat_refutation,[],[s705]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU523^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.20 % Computer : n004.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Tue Sep 29 13:47:53 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.23 Running first-order model finding
% 0.11/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.99/0.95 % (1312382)Will run a generic schedule for satisfiability detection.
% 3.99/0.95 % (1312392)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4113232725:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.99/0.95 % (1312388)% WARNING: option uhcvi not known.
% 3.99/0.95 % (1312390)dis+10_1_sil=32000:sp=arity:random_seed=4008359993:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.99/0.95 % (1312387)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4092918257_2999 on theBenchmark for (2999ds/0Mi)
% 3.99/0.95 % (1312388)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2144165027:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.99/0.95 % (1312391)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2046197469:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.99/0.95 % (1312389)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=152612997:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.99/0.95 % (1312393)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3078740927:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.99/0.95 % (1312388)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.99/0.95 % (1312391)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.99/0.95 % Exception at run slice level
% 3.99/0.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.99/0.95 % (1312388)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.99/0.95 % (1312405)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3257088256:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.99/0.95 % (1312392)Instruction limit reached!
% 3.99/0.95 % (1312392)------------------------------
% 3.99/0.95 % (1312392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/0.95 % (1312392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/0.95 % (1312392)CaDiCaL version: 2.1.3
% 3.99/0.95 % (1312392)Termination reason: Instruction limit
% 3.99/0.95 % (1312392)Termination phase: Saturation
% 3.99/0.95 % (1312392)Time elapsed: 0.037 s
% 3.99/0.95 % (1312392)Peak memory usage: 13 MB
% 3.99/0.95 % (1312392)Instructions burned: 133 (million)
% 3.99/0.95 % Exception at run slice level
% 3.99/0.95 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.99/0.95 % (1312410)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3841041674:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.99/0.95 % (1312390)Instruction limit reached!
% 3.99/0.95 % (1312390)------------------------------
% 3.99/0.95 % (1312390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/0.95 % (1312390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/0.95 % (1312390)CaDiCaL version: 2.1.3
% 3.99/0.95 % (1312390)Termination reason: Instruction limit
% 3.99/0.95 % (1312390)Termination phase: Saturation
% 3.99/0.95 % (1312390)Time elapsed: 0.053 s
% 3.99/0.95 % (1312390)Peak memory usage: 12 MB
% 3.99/0.95 % (1312390)Instructions burned: 105 (million)
% 3.99/0.95 % (1312412)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=114469493:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.99/0.95 % (1312391)Instruction limit reached!
% 3.99/0.95 % (1312391)------------------------------
% 3.99/0.95 % (1312391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/0.95 % (1312391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/0.95 % (1312391)CaDiCaL version: 2.1.3
% 3.99/0.95 % (1312391)Termination reason: Instruction limit
% 3.99/0.95 % (1312391)Termination phase: Saturation
% 3.99/0.95 % (1312391)Time elapsed: 0.059 s
% 3.99/0.95 % (1312391)Peak memory usage: 13 MB
% 3.99/0.95 % (1312391)Instructions burned: 117 (million)
% 3.99/0.95 % (1312412)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.99/0.95 % (1312412)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.99/0.95 % (1312424)ott-21_1_sil=16000:fs=off:random_seed=1693833370:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 3.99/0.95 % (1312410)Instruction limit reached!
% 15.96/2.58 % (1312410)------------------------------
% 15.96/2.58 % (1312410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/2.58 % (1312410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/2.58 % (1312410)CaDiCaL version: 2.1.3
% 15.96/2.58 % (1312410)Termination reason: Instruction limit
% 15.96/2.58 % (1312410)Termination phase: Saturation
% 15.96/2.58 % (1312410)Time elapsed: 0.036 s
% 15.96/2.58 % (1312410)Peak memory usage: 13 MB
% 15.96/2.58 % (1312410)Instructions burned: 134 (million)
% 15.96/2.58 % (1312430)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2258245510:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 15.96/2.58 % (1312393)Instruction limit reached!
% 15.96/2.58 % (1312393)------------------------------
% 15.96/2.58 % (1312393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/2.58 % (1312393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/2.58 % (1312393)CaDiCaL version: 2.1.3
% 15.96/2.58 % (1312393)Termination reason: Instruction limit
% 15.96/2.58 % (1312393)Termination phase: Saturation
% 15.96/2.58 % (1312393)Time elapsed: 0.080 s
% 15.96/2.58 % (1312393)Peak memory usage: 13 MB
% 15.96/2.58 % (1312393)Instructions burned: 159 (million)
% 15.96/2.58 % (1312444)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1198796226:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 15.96/2.58 % Exception at run slice level
% 15.96/2.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.96/2.58 % (1312448)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3487525136:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 15.96/2.58 % (1312455)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3393650509:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 15.96/2.58 % Exception at run slice level
% 15.96/2.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.96/2.58 % (1312461)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1188810595:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 15.96/2.58 % (1312461)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.96/2.58 % (1312424)Instruction limit reached!
% 15.96/2.58 % (1312424)------------------------------
% 15.96/2.58 % (1312424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/2.58 % (1312424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/2.58 % (1312424)CaDiCaL version: 2.1.3
% 15.96/2.58 % (1312424)Termination reason: Instruction limit
% 15.96/2.58 % (1312424)Termination phase: Saturation
% 15.96/2.58 % (1312424)Time elapsed: 0.086 s
% 15.96/2.58 % (1312424)Peak memory usage: 12 MB
% 15.96/2.58 % (1312424)Instructions burned: 180 (million)
% 15.96/2.58 % (1312466)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1315272833:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 15.96/2.58 % (1312466)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.96/2.58 % (1312461)Instruction limit reached!
% 15.96/2.58 % (1312461)------------------------------
% 15.96/2.58 % (1312461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.96/2.58 % (1312461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.96/2.58 % (1312461)CaDiCaL version: 2.1.3
% 15.96/2.58 % (1312461)Termination reason: Instruction limit
% 15.96/2.58 % (1312461)Termination phase: Saturation
% 15.96/2.58 % (1312461)Time elapsed: 0.175 s
% 15.96/2.58 % (1312461)Peak memory usage: 16 MB
% 15.96/2.58 % (1312461)Instructions burned: 694 (million)
% 15.96/2.58 % (1312468)fmb+10_1_sil=64000:random_seed=3386562196:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 15.96/2.58 % (1312468)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 15.96/2.58 % Exception at run slice level
% 15.96/2.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.96/2.58 % (1312470)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1619904868:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 15.96/2.58 % Exception at run slice level
% 15.96/2.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.09/5.12 % (1312430)Instruction limit reached!
% 34.09/5.12 % (1312430)------------------------------
% 34.09/5.12 % (1312430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.09/5.12 % (1312430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.09/5.12 % (1312430)CaDiCaL version: 2.1.3
% 34.09/5.12 % (1312430)Termination reason: Instruction limit
% 34.09/5.12 % (1312430)Termination phase: Saturation
% 34.09/5.12 % (1312430)Time elapsed: 0.251 s
% 34.09/5.12 % (1312430)Peak memory usage: 13 MB
% 34.09/5.12 % (1312430)Instructions burned: 477 (million)
% 34.09/5.12 % (1312473)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2820832317:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 34.09/5.12 % (1312472)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4105640105:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 34.09/5.12 % (1312473)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 34.09/5.12 % Exception at run slice level
% 34.09/5.12 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.09/5.12 % (1312476)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1010388879:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 34.09/5.12 % (1312476)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 34.09/5.12 % (1312476)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 34.09/5.12 % (1312412)Instruction limit reached!
% 34.09/5.12 % (1312412)------------------------------
% 34.09/5.12 % (1312412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.09/5.12 % (1312412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.09/5.12 % (1312412)CaDiCaL version: 2.1.3
% 34.09/5.12 % (1312412)Termination reason: Instruction limit
% 34.09/5.12 % (1312412)Termination phase: Saturation
% 34.09/5.12 % (1312412)Time elapsed: 0.332 s
% 34.09/5.12 % (1312412)Peak memory usage: 15 MB
% 34.09/5.12 % (1312412)Instructions burned: 685 (million)
% 34.09/5.12 % (1312478)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1794481078:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 34.09/5.12 % Exception at run slice level
% 34.09/5.12 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.09/5.12 % (1312480)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3013150861:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 34.09/5.12 % Exception at run slice level
% 34.09/5.12 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 34.09/5.12 % (1312482)ott-2_1_sil=16000:newcnf=on:random_seed=3687911143:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2995 on theBenchmark for (2995ds/869Mi)
% 34.09/5.12 % (1312482)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 34.09/5.12 % (1312466)Instruction limit reached!
% 34.09/5.12 % (1312466)------------------------------
% 34.09/5.12 % (1312466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.09/5.12 % (1312466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.09/5.12 % (1312466)CaDiCaL version: 2.1.3
% 34.09/5.12 % (1312466)Termination reason: Instruction limit
% 34.09/5.12 % (1312466)Termination phase: Saturation
% 34.09/5.12 % (1312466)Time elapsed: 0.441 s
% 34.09/5.12 % (1312466)Peak memory usage: 16 MB
% 34.09/5.12 % (1312466)Instructions burned: 881 (million)
% 34.09/5.12 % (1312484)ott+10_1_sil=32000:tgt=ground:random_seed=3408798097:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 34.09/5.12 % (1312448)Instruction limit reached!
% 34.09/5.12 % (1312448)------------------------------
% 34.09/5.12 % (1312448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.09/5.12 % (1312448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.09/5.12 % (1312448)CaDiCaL version: 2.1.3
% 34.09/5.12 % (1312448)Termination reason: Instruction limit
% 34.09/5.12 % (1312448)Termination phase: Saturation
% 34.09/5.12 % (1312448)Time elapsed: 0.555 s
% 34.09/5.12 % (1312448)Peak memory usage: 17 MB
% 34.09/5.12 % (1312448)Instructions burned: 1179 (million)
% 34.09/5.12 % (1312486)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3804538270:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 34.09/5.12 % Exception at run slice level
% 83.76/12.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 83.76/12.07 % (1312488)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1545750381:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 83.76/12.07 % (1312488)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 83.76/12.07 % (1312482)Instruction limit reached!
% 83.76/12.07 % (1312482)------------------------------
% 83.76/12.07 % (1312482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.76/12.07 % (1312482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.76/12.07 % (1312482)CaDiCaL version: 2.1.3
% 83.76/12.07 % (1312482)Termination reason: Instruction limit
% 83.76/12.07 % (1312482)Termination phase: Saturation
% 83.76/12.07 % (1312482)Time elapsed: 0.413 s
% 83.76/12.07 % (1312482)Peak memory usage: 14 MB
% 83.76/12.07 % (1312482)Instructions burned: 869 (million)
% 83.76/12.07 % (1312490)dis+21_1_sil=32000:sas=cadical:random_seed=551854877:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 83.76/12.07 % (1312476)Instruction limit reached!
% 83.76/12.07 % (1312476)------------------------------
% 83.76/12.07 % (1312476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.76/12.07 % (1312476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.76/12.07 % (1312476)CaDiCaL version: 2.1.3
% 83.76/12.07 % (1312476)Termination reason: Instruction limit
% 83.76/12.07 % (1312476)Termination phase: Saturation
% 83.76/12.07 % (1312476)Time elapsed: 0.687 s
% 83.76/12.07 % (1312476)Peak memory usage: 22 MB
% 83.76/12.07 % (1312476)Instructions burned: 1475 (million)
% 83.76/12.07 % (1312492)ott+11_1_sil=16000:gs=on:random_seed=3684435690:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2989 on theBenchmark for (2989ds/2251Mi)
% 83.76/12.07 % (1312492)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 83.76/12.07 % (1312473)Instruction limit reached!
% 83.76/12.07 % (1312473)------------------------------
% 83.76/12.07 % (1312473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.76/12.07 % (1312473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.76/12.07 % (1312473)CaDiCaL version: 2.1.3
% 83.76/12.07 % (1312473)Termination reason: Instruction limit
% 83.76/12.07 % (1312473)Termination phase: Saturation
% 83.76/12.07 % (1312473)Time elapsed: 1.224 s
% 83.76/12.07 % (1312473)Peak memory usage: 25 MB
% 83.76/12.07 % (1312473)Instructions burned: 5134 (million)
% 83.76/12.07 % (1312494)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2254477864:fmbsr=1.6:i=67534_2984 on theBenchmark for (2984ds/67534Mi)
% 83.76/12.07 % Exception at run slice level
% 83.76/12.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 83.76/12.07 % (1312496)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3957532014:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2983 on theBenchmark for (2983ds/4591Mi)
% 83.76/12.07 % (1312492)Instruction limit reached!
% 83.76/12.07 % (1312492)------------------------------
% 83.76/12.07 % (1312492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.76/12.07 % (1312492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.76/12.07 % (1312492)CaDiCaL version: 2.1.3
% 83.76/12.07 % (1312492)Termination reason: Instruction limit
% 83.76/12.07 % (1312492)Termination phase: Saturation
% 83.76/12.07 % (1312492)Time elapsed: 1.0000 s
% 83.76/12.07 % (1312492)Peak memory usage: 18 MB
% 83.76/12.07 % (1312492)Instructions burned: 2251 (million)
% 83.76/12.07 % (1312498)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3150371844:i=29340_2978 on theBenchmark for (2978ds/29340Mi)
% 83.76/12.07 % (1312488)Instruction limit reached!
% 83.76/12.07 % (1312488)------------------------------
% 83.76/12.07 % (1312488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.76/12.07 % (1312488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.76/12.07 % (1312488)CaDiCaL version: 2.1.3
% 83.76/12.07 % (1312488)Termination reason: Instruction limit
% 83.76/12.07 % (1312488)Termination phase: Saturation
% 83.76/12.07 % (1312488)Time elapsed: 1.590 s
% 83.76/12.07 % (1312488)Peak memory usage: 21 MB
% 83.76/12.07 % (1312488)Instructions burned: 3514 (million)
% 83.76/12.07 % (1312500)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=570182368:i=5211_2976 on theBenchmark for (2976ds/5211Mi)
% 83.76/12.07 % (1312490)Instruction limit reached!
% 83.76/12.07 % (1312490)------------------------------
% 83.76/12.07 % (1312490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.76/12.07 % (1312490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.76/12.07 % (1312490)CaDiCaL version: 2.1.3
% 83.76/12.07 % (1312490)Termination reason: Instruction limit
% 83.76/12.07 % (1312490)Termination phase: Saturation
% 83.76/12.07 % (1312490)Time elapsed: 1.705 s
% 83.76/12.07 % (1312490)Peak memory usage: 22 MB
% 83.76/12.07 % (1312490)Instructions burned: 3774 (million)
% 83.76/12.07 % (1312502)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=81410214:i=5497:nm=2_2973 on theBenchmark for (2973ds/5497Mi)
% 83.76/12.07 % Exception at run slice level
% 83.76/12.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 83.76/12.07 % (1312504)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3025419956:fmbsr=2:i=46332_2973 on theBenchmark for (2973ds/46332Mi)
% 83.76/12.07 % Exception at run slice level
% 83.76/12.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 83.76/12.07 % (1312506)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3131730061:i=14071_2973 on theBenchmark for (2973ds/14071Mi)
% 83.76/12.07 % Exception at run slice level
% 83.76/12.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 83.76/12.07 % (1312508)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2996815839:i=22565:add=on:rawr=on_2972 on theBenchmark for (2972ds/22565Mi)
% 83.76/12.07 % (1312496)Instruction limit reached!
% 83.76/12.07 % (1312496)------------------------------
% 83.76/12.07 % (1312496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.76/12.07 % (1312496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.76/12.07 % (1312496)CaDiCaL version: 2.1.3
% 83.76/12.07 % (1312496)Termination reason: Instruction limit
% 83.76/12.07 % (1312496)Termination phase: Saturation
% 83.76/12.07 % (1312496)Time elapsed: 1.175 s
% 83.76/12.07 % (1312496)Peak memory usage: 24 MB
% 83.76/12.07 % (1312496)Instructions burned: 4593 (million)
% 83.76/12.07 % (1312510)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2864560497:i=8173:av=off_2972 on theBenchmark for (2972ds/8173Mi)
% 83.76/12.07 % (1312484)Instruction limit reached!
% 83.76/12.07 % (1312484)------------------------------
% 83.76/12.07 % (1312484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.76/12.07 % (1312484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.76/12.07 % (1312484)CaDiCaL version: 2.1.3
% 83.76/12.07 % (1312484)Termination reason: Instruction limit
% 83.76/12.07 % (1312484)Termination phase: Saturation
% 83.76/12.07 % (1312484)Time elapsed: 2.381 s
% 83.76/12.07 % (1312484)Peak memory usage: 28 MB
% 83.76/12.07 % (1312484)Instructions burned: 5114 (million)
% 83.76/12.07 % (1312512)dis+10_16:1_sil=16000:random_seed=1284972981:i=9155:fsr=off_2969 on theBenchmark for (2969ds/9155Mi)
% 83.76/12.07 % (1312500)Instruction limit reached!
% 83.76/12.07 % (1312500)------------------------------
% 83.76/12.07 % (1312500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.76/12.07 % (1312500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.76/12.07 % (1312500)CaDiCaL version: 2.1.3
% 83.76/12.07 % (1312500)Termination reason: Instruction limit
% 83.76/12.07 % (1312500)Termination phase: Saturation
% 83.76/12.07 % (1312500)Time elapsed: 2.464 s
% 83.76/12.07 % (1312500)Peak memory usage: 32 MB
% 83.76/12.07 % (1312500)Instructions burned: 5211 (million)
% 83.76/12.07 % (1312514)ott-3_8_sil=64000:random_seed=811761997:i=20139:bs=on_2951 on theBenchmark for (2951ds/20139Mi)
% 83.76/12.07 % (1312510)Instruction limit reached!
% 83.76/12.07 % (1312510)------------------------------
% 83.76/12.07 % (1312510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.76/12.07 % (1312510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.76/12.07 % (1312510)CaDiCaL version: 2.1.3
% 83.76/12.07 % (1312510)Termination reason: Instruction limit
% 83.76/12.07 % (1312510)Termination phase: Saturation
% 83.76/12.07 % (1312510)Time elapsed: 2.059 s
% 83.76/12.07 % (1312510)Peak memory usage: 36 MB
% 83.76/12.07 % (1312510)Instructions burned: 8174 (million)
% 83.76/12.07 % (1312516)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=2958596806:fmbsr=2:i=32576_2951 on theBenchmark for (2951ds/32576Mi)
% 83.76/12.07 % Exception at run slice level
% 83.76/12.07 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 83.76/12.07 % (1312518)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=109551601:i=11404_2951 on theBenchmark for (2951ds/11404Mi)
% 83.76/12.07 % (1312512)Instruction limit reached!
% 83.76/12.07 % (1312512)------------------------------
% 83.76/12.07 % (1312512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.76/12.07 % (1312512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.76/12.07 % (1312512)CaDiCaL version: 2.1.3
% 83.76/12.07 % (1312512)Termination reason: Instruction limit
% 83.76/12.07 % (1312512)Termination phase: Saturation
% 83.76/12.07 % (1312512)Time elapsed: 4.071 s
% 83.76/12.07 % (1312512)Peak memory usage: 32 MB
% 83.76/12.07 % (1312512)Instructions burned: 9155 (million)
% 83.76/12.07 % (1312520)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=2148832632:i=14134_2928 on theBenchmark for (2928ds/14134Mi)
% 83.76/12.07 % (1312520)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 83.76/12.07 % (1312518)Instruction limit reached!
% 83.76/12.07 % (1312518)------------------------------
% 83.76/12.07 % (1312518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.76/12.07 % (1312518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.76/12.07 % (1312518)CaDiCaL version: 2.1.3
% 83.76/12.07 % (1312518)Termination reason: Instruction limit
% 83.76/12.07 % (1312518)Termination phase: Saturation
% 83.76/12.07 % (1312518)Time elapsed: 2.997 s
% 83.76/12.07 % (1312518)Peak memory usage: 46 MB
% 83.76/12.07 % (1312518)Instructions burned: 11405 (million)
% 83.76/12.07 % (1312522)dis+33_16_sil=32000:sac=on:random_seed=2407841974:i=15851:nm=0_2921 on theBenchmark for (2921ds/15851Mi)
% 83.76/12.07 % (1312522)Instruction limit reached!
% 83.76/12.07 % (1312522)------------------------------
% 83.76/12.07 % (1312522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.76/12.07 % (1312522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.76/12.07 % (1312522)CaDiCaL version: 2.1.3
% 83.76/12.07 % (1312522)Termination reason: Instruction limit
% 83.76/12.07 % (1312522)Termination phase: Saturation
% 83.76/12.07 % (1312522)Time elapsed: 3.798 s
% 83.76/12.07 % (1312522)Peak memory usage: 41 MB
% 83.76/12.07 % (1312522)Instructions burned: 15854 (million)
% 83.76/12.07 % (1312524)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=3604834477:avsq=on:i=17627:add=on:amm=off_2882 on theBenchmark for (2882ds/17627Mi)
% 83.76/12.07 % (1312524) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1312382-1312524"...
% 83.76/12.07 % (1312524)...printing done.
% 83.76/12.07 % (1312524)Refutation found. Thanks to Tanya!
% 83.76/12.07 % SZS status Theorem for theBenchmark
% 83.76/12.07 % SZS output start Proof for theBenchmark
% See solution above
% 83.76/12.07 % (1312524)------------------------------
% 83.76/12.07 % (1312524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.76/12.07 % (1312524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.76/12.07 % (1312524)CaDiCaL version: 2.1.3
% 83.76/12.07 % (1312524)Termination reason: Refutation
% 83.76/12.07 % (1312524)Time elapsed: 0.090 s
% 83.76/12.07 % (1312524)Peak memory usage: 15 MB
% 83.76/12.07 % (1312524)Instructions burned: 345 (million)
% 83.76/12.07 % (1312382)Success in time 11.823 s
% 83.76/12.07 % Vampire exiting
%------------------------------------------------------------------------------