%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU526^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7u0wvYxjm9 true
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:54:55 PM UTC 2025
% Result : Theorem 0.62s 0.93s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 17 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 177 ( 23 equ; 0 cnn)
% Maximal formula atoms : 47 ( 10 avg)
% Number of connectives : 218 ( 14 ~; 1 |; 0 &; 58 @)
% ( 0 <=>; 145 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 50 ( 48 usr; 45 con; 0-2 aty)
% Number of variables : 43 ( 7 ^; 25 !; 11 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(setadjoinAx_type,type,
setadjoinAx: $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(setunionAx_type,type,
setunionAx: $o ).
thf(emptyinunitempty_type,type,
emptyinunitempty: $o ).
thf(emptyInPowerset_type,type,
emptyInPowerset: $o ).
thf(omegaSAx_type,type,
omegaSAx: $o ).
thf(nonemptyI1_type,type,
nonemptyI1: $o ).
thf(wellorderingAx_type,type,
wellorderingAx: $o ).
thf(emptysetE_type,type,
emptysetE: $o ).
thf(nonemptyE1_type,type,
nonemptyE1: $o ).
thf(setadjoinIR_type,type,
setadjoinIR: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(setoftrueEq_type,type,
setoftrueEq: $o ).
thf(emptyI_type,type,
emptyI: $o ).
thf(exuE2_type,type,
exuE2: $o ).
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf(powersetAx_type,type,
powersetAx: $o ).
thf(subPowSU_type,type,
subPowSU: $o ).
thf(setadjoinOr_type,type,
setadjoinOr: $o ).
thf(notinemptyset_type,type,
notinemptyset: $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(setext_type,type,
setext: $o ).
thf(setbeta_type,type,
setbeta: $o ).
thf(emptysetimpfalse_type,type,
emptysetimpfalse: $o ).
thf(setadjoinIL_type,type,
setadjoinIL: $o ).
thf(exuE1_type,type,
exuE1: $o ).
thf(nonemptyI_type,type,
nonemptyI: $o ).
thf(omega0Ax_type,type,
omega0Ax: $o ).
thf(powersetI_type,type,
powersetI: $o ).
thf(prop2setE_type,type,
prop2setE: $o ).
thf(setextAx_type,type,
setextAx: $o ).
thf(descrp_type,type,
descrp: $o ).
thf(foundationAx_type,type,
foundationAx: $o ).
thf(emptysetAx_type,type,
emptysetAx: $o ).
thf(emptyinPowerset_type,type,
emptyinPowerset: $o ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(powersetE_type,type,
powersetE: $o ).
thf(noeltsimpempty_type,type,
noeltsimpempty: $o ).
thf(setunionI_type,type,
setunionI: $o ).
thf(exuE3e_type,type,
exuE3e: $o ).
thf(sk__7_type,type,
sk__7: $i > $i ).
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(setadjoinE_type,type,
setadjoinE: $o ).
thf(replAx_type,type,
replAx: $o ).
thf(nonempty_type,type,
nonempty: $i > $o ).
thf(omegaIndAx_type,type,
omegaIndAx: $o ).
thf(setunionE_type,type,
setunionE: $o ).
thf(nonemptyI1,axiom,
( nonemptyI1
= ( ! [A: $i] :
( ? [Xx: $i] : ( in @ Xx @ A )
=> ( nonempty @ A ) ) ) ) ).
thf('0',plain,
( nonemptyI1
= ( ! [X4: $i] :
( ? [X6: $i] : ( in @ X6 @ X4 )
=> ( nonempty @ X4 ) ) ) ),
define([status(thm)]) ).
thf(nonemptyI,axiom,
( nonemptyI
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( nonempty
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
thf('1',plain,
( nonemptyI
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( nonempty
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(nonemptyE1,axiom,
( nonemptyE1
= ( ! [A: $i] :
( ( nonempty @ A )
=> ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ).
thf('2',plain,
( nonemptyE1
= ( ! [X4: $i] :
( ( nonempty @ X4 )
=> ? [X6: $i] : ( in @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(nonempty,axiom,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
thf('3',plain,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ),
inference(simplify_rw_rule,[status(thm)],[nonempty]) ).
thf('4',plain,
( nonempty
= ( ^ [V_1: $i] : ( V_1 != emptyset ) ) ),
define([status(thm)]) ).
thf(nonemptyImpWitness,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
=> ( subPowSU
=> ( exuE2
=> ! [A: $i] :
( ( nonempty @ A )
=> ? [Xx: $i] : ( in @ Xx @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,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
=> ( ! [X4: $i] :
( ( X4 != emptyset )
=> ? [X6: $i] : ( in @ X6 @ X4 ) )
=> ( ! [X8: $i,X10: $i > $o,X12: $i] :
( ( in @ X12 @ X8 )
=> ( ( X10 @ X12 )
=> ( ( dsetconstr @ X8
@ ^ [V_1: $i] : ( X10 @ V_1 ) )
!= emptyset ) ) )
=> ( ! [X14: $i] :
( ? [X16: $i] : ( in @ X16 @ X14 )
=> ( X14 != emptyset ) )
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ! [X18: $i] :
( ( X18 != emptyset )
=> ? [X20: $i] : ( in @ X20 @ X18 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,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
=> ( ! [X4: $i] :
( ( X4 != emptyset )
=> ? [X6: $i] : ( in @ X6 @ X4 ) )
=> ( ! [X8: $i,X10: $i > $o,X12: $i] :
( ( in @ X12 @ X8 )
=> ( ( X10 @ X12 )
=> ( ( dsetconstr @ X8
@ ^ [V_1: $i] : ( X10 @ V_1 ) )
!= emptyset ) ) )
=> ( ! [X14: $i] :
( ? [X16: $i] : ( in @ X16 @ X14 )
=> ( X14 != emptyset ) )
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ! [X18: $i] :
( ( X18 != emptyset )
=> ? [X20: $i] : ( in @ X20 @ X18 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31,plain,
! [X6: $i] :
( ( in @ ( sk__7 @ X6 ) @ X6 )
| ( X6 = emptyset ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl21,plain,
! [X3: $i] :
~ ( in @ X3 @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl48,plain,
sk__8 = emptyset,
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl21]) ).
thf(zip_derived_cl22,plain,
sk__8 != emptyset,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl54,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl48,zip_derived_cl22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU526^1 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7u0wvYxjm9 true
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Oct 1 16:13:23 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.59/0.71 % Total configuration time : 828
% 0.59/0.71 % Estimated wc time : 1656
% 0.59/0.71 % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.82 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.85 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.61/0.87 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.61/0.88 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.62/0.91 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.62/0.91 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.62/0.92 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.62/0.93 % Solved by lams/40_c_ic.sh.
% 0.62/0.93 % done 44 iterations in 0.020s
% 0.62/0.93 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.62/0.93 % SZS output start Refutation
% See solution above
% 0.62/0.93
% 0.62/0.93
% 0.62/0.93 % Terminating...
% 1.85/1.01 % Runner terminated.
% 1.85/1.03 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------