%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU514^1 : 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.xFdZqJ7XyH true
% Computer : n019.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 04:54:52 PM UTC 2025
% Result : Theorem 1.38s 0.75s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 15 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 131 ( 11 equ; 0 cnn)
% Maximal formula atoms : 34 ( 8 avg)
% Number of connectives : 198 ( 4 ~; 5 |; 0 &; 92 @)
% ( 4 <=>; 93 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 36 usr; 35 con; 0-2 aty)
% Number of variables : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(setadjoinAx_type,type,
setadjoinAx: $o ).
thf(setunionAx_type,type,
setunionAx: $o ).
thf(emptyinunitempty_type,type,
emptyinunitempty: $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(omegaSAx_type,type,
omegaSAx: $o ).
thf(sk__6_type,type,
sk__6: $i ).
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(in_type,type,
in: $i > $i > $o ).
thf(emptyI_type,type,
emptyI: $o ).
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf(powersetAx_type,type,
powersetAx: $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(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(dsetconstrER_type,type,
dsetconstrER: $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(noeltsimpempty_type,type,
noeltsimpempty: $o ).
thf(exuE3e_type,type,
exuE3e: $o ).
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(replAx_type,type,
replAx: $o ).
thf(omegaIndAx_type,type,
omegaIndAx: $o ).
thf(emptyinunitempty,axiom,
( emptyinunitempty
= ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ) ).
thf('0',plain,
( emptyinunitempty
= ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ),
inference(simplify_rw_rule,[status(thm)],[emptyinunitempty]) ).
thf('1',plain,
( emptyinunitempty
= ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) ) ),
define([status(thm)]) ).
thf(setadjoinIL,axiom,
( setadjoinIL
= ( ! [Xx: $i,Xy: $i] : ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ) ) ) ).
thf('2',plain,
( setadjoinIL
= ( ! [X4: $i,X6: $i] : ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(setadjoinAx,axiom,
( setadjoinAx
= ( ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ ( setadjoin @ Xx @ A ) )
<=> ( ( Xy = Xx )
| ( in @ Xy @ A ) ) ) ) ) ).
thf('3',plain,
( setadjoinAx
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
<=> ( ( X8 = X4 )
| ( in @ X8 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(setadjoinIR,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
=> ! [Xx: $i,A: $i,Xy: $i] :
( ( in @ Xy @ A )
=> ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( setextAx
=> ( emptysetAx
=> ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
<=> ( ( X8 = X4 )
| ( in @ X8 @ X6 ) ) )
=> ( 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
=> ( ! [X10: $i,X12: $i] : ( in @ X10 @ ( setadjoin @ X10 @ X12 ) )
=> ( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
=> ! [X14: $i,X16: $i,X18: $i] :
( ( in @ X18 @ X16 )
=> ( in @ X18 @ ( setadjoin @ X14 @ X16 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) )
<=> ( ( X8 = X4 )
| ( in @ X8 @ X6 ) ) )
=> ( 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
=> ( ! [X10: $i,X12: $i] : ( in @ X10 @ ( setadjoin @ X10 @ X12 ) )
=> ( ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )
=> ! [X14: $i,X16: $i,X18: $i] :
( ( in @ X18 @ X16 )
=> ( in @ X18 @ ( setadjoin @ X14 @ X16 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ ( setadjoin @ X1 @ X2 ) )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl17,plain,
~ ( in @ sk__7 @ ( setadjoin @ sk__5 @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl35,plain,
~ ( in @ sk__7 @ sk__6 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl17]) ).
thf(zip_derived_cl18,plain,
in @ sk__7 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl37,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU514^1 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xFdZqJ7XyH true
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:11:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.21/0.61 % Total configuration time : 828
% 0.21/0.61 % Estimated wc time : 1656
% 0.21/0.61 % Estimated cpu time (8 cpus) : 207.0
% 1.19/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.19/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.19/0.71 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.19/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.19/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.37/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.37/0.71 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.37/0.72 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.38/0.75 % Solved by lams/40_c_ic.sh.
% 1.38/0.75 % done 30 iterations in 0.019s
% 1.38/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.38/0.75 % SZS output start Refutation
% See solution above
% 1.38/0.75
% 1.38/0.75
% 1.38/0.75 % Terminating...
% 1.60/0.83 % Runner terminated.
% 1.60/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------