%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU524^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:32:18 AM UTC 2026
% Result : Theorem 21.78s 3.46s
% Output : Refutation 21.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of formulae : 47 ( 30 unt; 0 typ; 0 def)
% Number of atoms : 892 ( 226 equ; 0 cnn)
% Maximal formula atoms : 42 ( 18 avg)
% Number of connectives : 729 ( 7 ~; 12 |; 123 &; 353 @)
% ( 2 <=>; 200 =>; 0 <=; 0 <~>)
% Maximal formula depth : 48 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 98 ( 94 usr; 45 con; 0-4 aty)
% ( 32 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 100 ( 38 ^; 58 !; 4 ?; 100 :)
% 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,
setunionE: $o ).
thf(func_def_52,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_53,type,
vAND: $o > $o > $o ).
thf(func_def_54,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_55,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_56,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_57,type,
vIMP: $o > $o > $o ).
thf(func_def_58,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_59,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_60,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_61,type,
vIFF: $o > $o > $o ).
thf(func_def_62,type,
vNOT: $o > $o ).
thf(func_def_63,type,
vOR: $o > $o > $o ).
thf(func_def_64,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_65,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_70,type,
sK2: $o > $i > $i > $i ).
thf(func_def_71,type,
sK3: $i > $i > $i ).
thf(func_def_72,type,
sK4: $i > $i ).
thf(func_def_73,type,
sK5: $i > $i ).
thf(func_def_74,type,
sK6: $i > $i ).
thf(func_def_75,type,
sK7: $i > $i > $i ).
thf(func_def_76,type,
sK8: $i > $i > $i ).
thf(func_def_77,type,
sK9: ( $i > $o ) > $i ).
thf(func_def_78,type,
sK10: ( $i > $o ) > $i > $i ).
thf(func_def_79,type,
sK11: ( $i > $o ) > $i ).
thf(func_def_80,type,
sK12: ( $i > $o ) > $i > $i ).
thf(func_def_81,type,
sK13: ( $i > $o ) > $i > $i ).
thf(func_def_82,type,
sK14: $i > $i ).
thf(func_def_83,type,
sK15: $i > $i > $i > $i ).
thf(func_def_84,type,
sK16: $i > $i > $i ).
thf(func_def_85,type,
sK17: $i > $i > $i ).
thf(func_def_86,type,
sK18: $i > $i > $i ).
thf(func_def_87,type,
sK19: $i > $i ).
thf(func_def_88,type,
sK20: $i > ( $i > $i > $o ) > $i ).
thf(func_def_89,type,
sK21: $i > ( $i > $i > $o ) > $i ).
thf(func_def_90,type,
sK22: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_91,type,
sK23: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_92,type,
sK24: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_93,type,
sK25: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_94,type,
sK26: $i > $i ).
thf(func_def_95,type,
sK27: $i > $i > $i ).
thf(func_def_96,type,
sK28: $i > $i > $i ).
thf(func_def_97,type,
sK29: $i > $i > $i ).
thf(f5,axiom,
( powersetAx
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
<=> ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetAx) ).
thf(f42,axiom,
( setunionI
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X2 )
=> ( ( in @ X2 @ X0 )
=> ( in @ X1 @ ( setunion @ X0 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionI) ).
thf(f44,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
=> ( setunionE
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ X0 )
=> ( in @ X1 @ ( powerset @ ( setunion @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subPowSU) ).
thf(f45,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
=> ( setunionE
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ X0 )
=> ( in @ X1 @ ( powerset @ ( setunion @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
thf(f54,plain,
( powersetAx
= ( ! [X0: $i,X1: $i] :
( ( in @ X1 @ ( powerset @ X0 ) )
<=> ! [X2: $i] :
( ( in @ X2 @ X1 )
=> ( in @ X2 @ X0 ) ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f55,plain,
( powersetAx
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
= ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f54]) ).
thf(f123,plain,
( setunionI
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X2 )
=> ( ( in @ X2 @ X0 )
=> ( in @ X1 @ ( setunion @ X0 ) ) ) ) ) ),
inference(rectify,[],[f42]) ).
thf(f124,plain,
( setunionI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ Y0 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y1 @ ( setunion @ Y2 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f123]) ).
thf(f127,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
=> ( setunionE
=> ! [X0: $i,X1: $i] :
( ( in @ X1 @ X0 )
=> ( in @ X1 @ ( powerset @ ( setunion @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f45]) ).
thf(f128,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 )
=> ( ( setunionE = $true )
=> ! [X0: $i,X1: $i] :
( ( ( in @ X1 @ X0 )
= $true )
=> ( ( in @ X1 @ ( powerset @ ( setunion @ X0 ) ) )
= $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f127]) ).
thf(f129,plain,
( ? [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ ( setunion @ X0 ) ) )
!= $true )
& ( ( in @ X1 @ X0 )
= $true ) )
& ( setunionE = $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,[],[f128]) ).
thf(f130,plain,
( ? [X0: $i,X1: $i] :
( ( ( in @ X1 @ ( powerset @ ( setunion @ X0 ) ) )
!= $true )
& ( ( in @ X1 @ X0 )
= $true ) )
& ( setunionE = $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,[],[f129]) ).
thf(f131,plain,
( ( $true
!= ( in @ sK1 @ ( powerset @ ( setunion @ sK0 ) ) ) )
& ( $true
= ( in @ sK1 @ sK0 ) )
& ( setunionE = $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(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f130]) ).
thf(f136,plain,
( powersetAx
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
= ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f55]) ).
thf(f173,plain,
( setunionI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ Y0 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y1 @ ( setunion @ Y2 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f124]) ).
thf(f178,plain,
powersetAx = $true,
inference(cnf_transformation,[],[f131]) ).
thf(f213,plain,
setunionI = $true,
inference(cnf_transformation,[],[f131]) ).
thf(f215,plain,
( $true
= ( in @ sK1 @ sK0 ) ),
inference(cnf_transformation,[],[f131]) ).
thf(f216,plain,
( $true
!= ( in @ sK1 @ ( powerset @ ( setunion @ sK0 ) ) ) ),
inference(cnf_transformation,[],[f131]) ).
thf(f222,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
= ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f136,f178]) ).
thf(f257,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ Y0 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y1 @ ( setunion @ Y2 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f173,f213]) ).
thf(f273,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y1 @ Y0 )
=> ( ( in @ Y0 @ Y2 )
=> ( in @ Y1 @ ( setunion @ Y2 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f257]) ).
thf(f274,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ X1 )
=> ( ( in @ X1 @ Y1 )
=> ( in @ Y0 @ ( setunion @ Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f273]) ).
thf(f275,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ X1 )
=> ( ( in @ X1 @ Y1 )
=> ( in @ Y0 @ ( setunion @ Y1 ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f274]) ).
thf(f276,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X2 @ X1 )
=> ( ( in @ X1 @ Y0 )
=> ( in @ X2 @ ( setunion @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f275]) ).
thf(f277,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ X2 @ X1 )
=> ( ( in @ X1 @ Y0 )
=> ( in @ X2 @ ( setunion @ Y0 ) ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f276]) ).
thf(f278,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( in @ X2 @ X1 )
=> ( ( in @ X1 @ X3 )
=> ( in @ X2 @ ( setunion @ X3 ) ) ) ) ),
inference(beta-eta_normalization,[],[f277]) ).
thf(f279,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X2 @ X1 )
= $false )
| ( $true
= ( ( in @ X1 @ X3 )
=> ( in @ X2 @ ( setunion @ X3 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f278]) ).
thf(f280,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X2 @ X1 )
= $false )
| ( ( in @ X1 @ X3 )
= $false )
| ( $true
= ( in @ X2 @ ( setunion @ X3 ) ) ) ),
inference(imp_proxy_clausification,[],[f279]) ).
thf(f678,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ Y1 ) )
= ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f222]) ).
thf(f679,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ ( powerset @ Y0 ) )
= ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X1 )
=> ( in @ Y1 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f678]) ).
thf(f680,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ ( powerset @ Y0 ) )
= ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X1 )
=> ( in @ Y1 @ Y0 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f679]) ).
thf(f681,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( in @ X1 @ ( powerset @ X2 ) )
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) ) ) ) ),
inference(beta-eta_normalization,[],[f680]) ).
thf(f682,plain,
! [X2: $i,X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) ) )
= ( in @ X1 @ ( powerset @ X2 ) ) ),
inference(iff_proxy_clausification,[],[f681]) ).
thf(f684,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) ) ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(iff_proxy_clausification,[],[f682]) ).
thf(f685,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X1 )
=> ( in @ Y0 @ X2 ) )
@ ( sK28 @ X1 @ X2 ) ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(sigma_proxy_clausification,[],[f684]) ).
thf(f686,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( in @ ( sK28 @ X1 @ X2 ) @ X1 )
=> ( in @ ( sK28 @ X1 @ X2 ) @ X2 ) ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f685]) ).
thf(f687,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( in @ ( sK28 @ X1 @ X2 ) @ X2 ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f686]) ).
thf(f688,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( in @ ( sK28 @ X1 @ X2 ) @ X1 ) )
| ( $true
= ( in @ X1 @ ( powerset @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f686]) ).
thf(f2100,plain,
( $false
= ( in @ ( sK28 @ sK1 @ ( setunion @ sK0 ) ) @ ( setunion @ sK0 ) ) ),
inference(unit_resulting_resolution,[],[f687,f216]) ).
thf(f2157,plain,
( $true
= ( in @ ( sK28 @ sK1 @ ( setunion @ sK0 ) ) @ sK1 ) ),
inference(unit_resulting_resolution,[],[f688,f216]) ).
thf(f5006,plain,
! [X0: $i] :
( ( $false = $true )
| ( $false
= ( in @ X0 @ sK1 ) )
| ( $true
= ( in @ X0 @ ( setunion @ sK0 ) ) ) ),
inference(constrained_superposition,[],[f215,f280]) ).
thf(f5074,plain,
! [X0: $i] :
( ( $false
= ( in @ X0 @ sK1 ) )
| ( $true
= ( in @ X0 @ ( setunion @ sK0 ) ) ) ),
inference(trivial_inequality_removal,[],[f5006]) ).
thf(f5274,plain,
( ( $false = $true )
| ( $true
= ( in @ ( sK28 @ sK1 @ ( setunion @ sK0 ) ) @ ( setunion @ sK0 ) ) ) ),
inference(constrained_superposition,[],[f2157,f5074]) ).
thf(f5319,plain,
( $true
= ( in @ ( sK28 @ sK1 @ ( setunion @ sK0 ) ) @ ( setunion @ sK0 ) ) ),
inference(trivial_inequality_removal,[],[f5274]) ).
thf(f5365,plain,
$false = $true,
inference(forward_demodulation,[],[f5319,f2100]) ).
thf(f5366,plain,
$false,
inference(trivial_inequality_removal,[],[f5365]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU524^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 13:51:33 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.47/1.12 % (3553230)Will run a generic schedule for satisfiability detection.
% 5.47/1.12 % (3553236)% WARNING: option uhcvi not known.
% 5.47/1.12 % (3553236)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2667126504:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.47/1.12 % (3553236)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.47/1.12 % (3553236)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.47/1.12 % (3553235)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=367573376_2999 on theBenchmark for (2999ds/0Mi)
% 5.47/1.12 % (3553237)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4094161620:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.47/1.12 % (3553238)dis+10_1_sil=32000:sp=arity:random_seed=4049493317:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.47/1.12 % Exception at run slice level
% 5.47/1.12 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.47/1.12 % (3553239)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=235118068:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.47/1.12 % (3553241)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=405950361:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.47/1.12 % (3553239)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.47/1.12 % (3553240)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2320488766:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.47/1.12 % (3553246)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3909689102:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.47/1.12 % Exception at run slice level
% 5.47/1.12 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.47/1.12 % (3553251)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1468847781:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.47/1.12 % (3553238)Instruction limit reached!
% 5.47/1.12 % (3553238)------------------------------
% 5.47/1.12 % (3553238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.12 % (3553238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.12 % (3553238)CaDiCaL version: 2.1.3
% 5.47/1.12 % (3553238)Termination reason: Instruction limit
% 5.47/1.12 % (3553238)Termination phase: Saturation
% 5.47/1.12 % (3553238)Time elapsed: 0.090 s
% 5.47/1.12 % (3553238)Peak memory usage: 12 MB
% 5.47/1.12 % (3553238)Instructions burned: 103 (million)
% 5.47/1.12 % (3553239)Instruction limit reached!
% 5.47/1.12 % (3553239)------------------------------
% 5.47/1.12 % (3553239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.12 % (3553239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.12 % (3553239)CaDiCaL version: 2.1.3
% 5.47/1.12 % (3553239)Termination reason: Instruction limit
% 5.47/1.12 % (3553239)Termination phase: Saturation
% 5.47/1.12 % (3553239)Time elapsed: 0.102 s
% 5.47/1.12 % (3553239)Peak memory usage: 13 MB
% 5.47/1.12 % (3553239)Instructions burned: 116 (million)
% 5.47/1.12 % (3553255)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=3990642647:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.47/1.12 % (3553255)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.47/1.12 % (3553255)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.47/1.12 % (3553256)ott-21_1_sil=16000:fs=off:random_seed=2422607328:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.47/1.12 % (3553240)Instruction limit reached!
% 5.47/1.12 % (3553240)------------------------------
% 5.47/1.12 % (3553240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.47/1.12 % (3553240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.12 % (3553240)CaDiCaL version: 2.1.3
% 5.47/1.12 % (3553240)Termination reason: Instruction limit
% 5.47/1.12 % (3553240)Termination phase: Saturation
% 5.47/1.12 % (3553240)Time elapsed: 0.129 s
% 5.47/1.12 % (3553240)Peak memory usage: 13 MB
% 5.47/1.12 % (3553240)Instructions burned: 132 (million)
% 5.47/1.12 % (3553241)Instruction limit reached!
% 21.26/3.31 % (3553241)------------------------------
% 21.26/3.31 % (3553241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.26/3.31 % (3553241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/3.31 % (3553241)CaDiCaL version: 2.1.3
% 21.26/3.31 % (3553241)Termination reason: Instruction limit
% 21.26/3.31 % (3553241)Termination phase: Saturation
% 21.26/3.31 % (3553241)Time elapsed: 0.141 s
% 21.26/3.31 % (3553241)Peak memory usage: 13 MB
% 21.26/3.31 % (3553241)Instructions burned: 160 (million)
% 21.26/3.31 % (3553251)Instruction limit reached!
% 21.26/3.31 % (3553251)------------------------------
% 21.26/3.31 % (3553251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.26/3.31 % (3553251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/3.31 % (3553251)CaDiCaL version: 2.1.3
% 21.26/3.31 % (3553251)Termination reason: Instruction limit
% 21.26/3.31 % (3553251)Termination phase: Saturation
% 21.26/3.31 % (3553251)Time elapsed: 0.109 s
% 21.26/3.31 % (3553251)Peak memory usage: 13 MB
% 21.26/3.31 % (3553251)Instructions burned: 132 (million)
% 21.26/3.31 % (3553259)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=843470383:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 21.26/3.31 % (3553261)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1693545029:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 21.26/3.31 % (3553260)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=726194933:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 21.26/3.31 % Exception at run slice level
% 21.26/3.31 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.26/3.31 % (3553265)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3521212361:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 21.26/3.31 % (3553256)Instruction limit reached!
% 21.26/3.31 % (3553256)------------------------------
% 21.26/3.31 % (3553256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.26/3.31 % (3553256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/3.31 % (3553256)CaDiCaL version: 2.1.3
% 21.26/3.31 % (3553256)Termination reason: Instruction limit
% 21.26/3.31 % (3553256)Termination phase: Saturation
% 21.26/3.31 % (3553256)Time elapsed: 0.103 s
% 21.26/3.31 % (3553256)Peak memory usage: 12 MB
% 21.26/3.31 % (3553256)Instructions burned: 181 (million)
% 21.26/3.31 % Exception at run slice level
% 21.26/3.31 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.26/3.31 % (3553267)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=2745998702:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 21.26/3.31 % (3553268)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2219171138:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 21.26/3.31 % (3553267)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.26/3.31 % (3553268)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.26/3.31 % (3553255)Instruction limit reached!
% 21.26/3.31 % (3553255)------------------------------
% 21.26/3.31 % (3553255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.26/3.31 % (3553255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.26/3.31 % (3553255)CaDiCaL version: 2.1.3
% 21.26/3.31 % (3553255)Termination reason: Instruction limit
% 21.26/3.31 % (3553255)Termination phase: Saturation
% 21.26/3.31 % (3553255)Time elapsed: 0.335 s
% 21.26/3.31 % (3553255)Peak memory usage: 15 MB
% 21.26/3.31 % (3553255)Instructions burned: 686 (million)
% 21.26/3.31 % (3553271)fmb+10_1_sil=64000:random_seed=3929226218:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 21.26/3.31 % (3553271)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 21.26/3.31 % Exception at run slice level
% 21.26/3.31 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.26/3.31 % (3553273)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3285523256:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 21.26/3.31 % (3553259)Instruction limit reached!
% 21.26/3.31 % (3553259)------------------------------
% 21.26/3.31 % (3553259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.78/3.46 % (3553259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.78/3.46 % (3553259)CaDiCaL version: 2.1.3
% 21.78/3.46 % (3553259)Termination reason: Instruction limit
% 21.78/3.46 % (3553259)Termination phase: Saturation
% 21.78/3.46 % (3553259)Time elapsed: 0.325 s
% 21.78/3.46 % (3553259)Peak memory usage: 14 MB
% 21.78/3.46 % (3553259)Instructions burned: 479 (million)
% 21.78/3.46 % Exception at run slice level
% 21.78/3.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.78/3.46 % (3553275)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1331834982:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 21.78/3.46 % (3553276)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=769875309:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 21.78/3.46 % (3553276)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.78/3.46 % Exception at run slice level
% 21.78/3.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.78/3.46 % (3553279)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1965326389:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 21.78/3.46 % (3553279)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 21.78/3.46 % (3553279)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.78/3.46 % (3553267)Instruction limit reached!
% 21.78/3.46 % (3553267)------------------------------
% 21.78/3.46 % (3553267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.78/3.46 % (3553267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.78/3.46 % (3553267)CaDiCaL version: 2.1.3
% 21.78/3.46 % (3553267)Termination reason: Instruction limit
% 21.78/3.46 % (3553267)Termination phase: Saturation
% 21.78/3.46 % (3553267)Time elapsed: 0.430 s
% 21.78/3.46 % (3553267)Peak memory usage: 15 MB
% 21.78/3.46 % (3553267)Instructions burned: 692 (million)
% 21.78/3.46 % (3553268)Instruction limit reached!
% 21.78/3.46 % (3553268)------------------------------
% 21.78/3.46 % (3553268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.78/3.46 % (3553268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.78/3.46 % (3553268)CaDiCaL version: 2.1.3
% 21.78/3.46 % (3553268)Termination reason: Instruction limit
% 21.78/3.46 % (3553268)Termination phase: Saturation
% 21.78/3.46 % (3553268)Time elapsed: 0.437 s
% 21.78/3.46 % (3553268)Peak memory usage: 16 MB
% 21.78/3.46 % (3553268)Instructions burned: 879 (million)
% 21.78/3.46 % (3553282)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2204088601:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 21.78/3.46 % (3553281)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4266510530:i=6324_2992 on theBenchmark for (2992ds/6324Mi)
% 21.78/3.46 % Exception at run slice level
% 21.78/3.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.78/3.46 % Exception at run slice level
% 21.78/3.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.78/3.46 % (3553285)ott-2_1_sil=16000:newcnf=on:random_seed=1211398333:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 21.78/3.46 % (3553285)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.78/3.46 % (3553286)ott+10_1_sil=32000:tgt=ground:random_seed=1714803573:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 21.78/3.46 % (3553261)Instruction limit reached!
% 21.78/3.46 % (3553261)------------------------------
% 21.78/3.46 % (3553261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.78/3.46 % (3553261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.78/3.46 % (3553261)CaDiCaL version: 2.1.3
% 21.78/3.46 % (3553261)Termination reason: Instruction limit
% 21.78/3.46 % (3553261)Termination phase: Saturation
% 21.78/3.46 % (3553261)Time elapsed: 0.619 s
% 21.78/3.46 % (3553261)Peak memory usage: 18 MB
% 21.78/3.46 % (3553261)Instructions burned: 1181 (million)
% 21.78/3.46 % (3553289)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=532148264:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 21.78/3.46 % Exception at run slice level
% 21.78/3.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.78/3.46 % (3553291)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=492840234:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 21.78/3.46 % (3553291)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.78/3.46 % (3553285)Instruction limit reached!
% 21.78/3.46 % (3553285)------------------------------
% 21.78/3.46 % (3553285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.78/3.46 % (3553285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.78/3.46 % (3553285)CaDiCaL version: 2.1.3
% 21.78/3.46 % (3553285)Termination reason: Instruction limit
% 21.78/3.46 % (3553285)Termination phase: Saturation
% 21.78/3.46 % (3553285)Time elapsed: 0.444 s
% 21.78/3.46 % (3553285)Peak memory usage: 18 MB
% 21.78/3.46 % (3553285)Instructions burned: 871 (million)
% 21.78/3.46 % (3553293)dis+21_1_sil=32000:sas=cadical:random_seed=1358354047:i=3773:amm=off_2987 on theBenchmark for (2987ds/3773Mi)
% 21.78/3.46 % (3553279)Instruction limit reached!
% 21.78/3.46 % (3553279)------------------------------
% 21.78/3.46 % (3553279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.78/3.46 % (3553279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.78/3.46 % (3553279)CaDiCaL version: 2.1.3
% 21.78/3.46 % (3553279)Termination reason: Instruction limit
% 21.78/3.46 % (3553279)Termination phase: Saturation
% 21.78/3.46 % (3553279)Time elapsed: 1.152 s
% 21.78/3.46 % (3553279)Peak memory usage: 25 MB
% 21.78/3.46 % (3553279)Instructions burned: 1472 (million)
% 21.78/3.46 % (3553295)ott+11_1_sil=16000:gs=on:random_seed=2553907325:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2982 on theBenchmark for (2982ds/2251Mi)
% 21.78/3.46 % (3553295)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.78/3.46 % (3553291)Instruction limit reached!
% 21.78/3.46 % (3553291)------------------------------
% 21.78/3.46 % (3553291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.78/3.46 % (3553291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.78/3.46 % (3553291)CaDiCaL version: 2.1.3
% 21.78/3.46 % (3553291)Termination reason: Instruction limit
% 21.78/3.46 % (3553291)Termination phase: Saturation
% 21.78/3.46 % (3553291)Time elapsed: 1.837 s
% 21.78/3.46 % (3553291)Peak memory usage: 21 MB
% 21.78/3.46 % (3553291)Instructions burned: 3512 (million)
% 21.78/3.46 % (3553310)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3450239282:fmbsr=1.6:i=67534_2972 on theBenchmark for (2972ds/67534Mi)
% 21.78/3.46 % Exception at run slice level
% 21.78/3.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.78/3.46 % (3553312)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=308888298:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2972 on theBenchmark for (2972ds/4591Mi)
% 21.78/3.46 % (3553276)Instruction limit reached!
% 21.78/3.46 % (3553276)------------------------------
% 21.78/3.46 % (3553276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.78/3.46 % (3553276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.78/3.46 % (3553276)CaDiCaL version: 2.1.3
% 21.78/3.46 % (3553276)Termination reason: Instruction limit
% 21.78/3.46 % (3553276)Termination phase: Saturation
% 21.78/3.46 % (3553276)Time elapsed: 2.315 s
% 21.78/3.46 % (3553276)Peak memory usage: 25 MB
% 21.78/3.46 % (3553276)Instructions burned: 5132 (million)
% 21.78/3.46 % (3553315)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3052940947:i=29340_2970 on theBenchmark for (2970ds/29340Mi)
% 21.78/3.46 % (3553295)Instruction limit reached!
% 21.78/3.46 % (3553295)------------------------------
% 21.78/3.46 % (3553295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.78/3.46 % (3553295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.78/3.46 % (3553295)CaDiCaL version: 2.1.3
% 21.78/3.46 % (3553295)Termination reason: Instruction limit
% 21.78/3.46 % (3553295)Termination phase: Saturation
% 21.78/3.46 % (3553295)Time elapsed: 1.282 s
% 21.78/3.46 % (3553295)Peak memory usage: 18 MB
% 21.78/3.46 % (3553295)Instructions burned: 2251 (million)
% 21.78/3.46 % (3553317)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2503173937:i=5211_2969 on theBenchmark for (2969ds/5211Mi)
% 21.78/3.46 % (3553315) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3553230-3553315"...
% 21.78/3.46 % (3553315)...printing done.
% 21.78/3.46 % (3553315)Refutation found. Thanks to Tanya!
% 21.78/3.46 % SZS status Theorem for theBenchmark
% 21.78/3.46 % SZS output start Proof for theBenchmark
% See solution above
% 21.78/3.46 % (3553315)------------------------------
% 21.78/3.46 % (3553315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.78/3.46 % (3553315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.78/3.46 % (3553315)CaDiCaL version: 2.1.3
% 21.78/3.46 % (3553315)Termination reason: Refutation
% 21.78/3.46 % (3553315)Time elapsed: 0.312 s
% 21.78/3.46 % (3553315)Peak memory usage: 15 MB
% 21.78/3.46 % (3553315)Instructions burned: 654 (million)
% 21.78/3.46 % (3553230)Success in time 3.24 s
% 21.78/3.46 % Vampire exiting
%------------------------------------------------------------------------------