%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU573^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NpBxV4yUvC true
% Computer : n012.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 04:55:07 PM UTC 2025
% Result : Theorem 0.92s 2.22s
% Output : Refutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 135 ( 4 equ; 0 cnn)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 363 ( 14 ~; 10 |; 0 &; 254 @)
% ( 0 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 6 con; 0-2 aty)
% ( 29 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 84 ( 29 ^; 55 !; 0 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk2_type',type,
'#sk2': $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf('#sk3_type',type,
'#sk3': $i > $i > $i ).
thf(powersetI_type,type,
powersetI: $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(subsetE_type,type,
subsetE: $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(subsetE,axiom,
( subsetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ) ) ).
thf('0',plain,
( subsetE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(powersetI,axiom,
( powersetI
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) ) ) ).
thf('1',plain,
( powersetI
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(subset2powerset,conjecture,
( powersetI
=> ( subsetE
=> ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( in @ A @ ( powerset @ B ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( subset @ X10 @ X12 )
=> ( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) ) )
=> ! [X16: $i,X18: $i] :
( ( subset @ X16 @ X18 )
=> ( in @ X16 @ ( powerset @ X18 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( subset @ X10 @ X12 )
=> ( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) ) )
=> ! [X16: $i,X18: $i] :
( ( subset @ X16 @ X18 )
=> ( in @ X16 @ ( powerset @ X18 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( in @ Y1 @ ( powerset @ Y0 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( in @ Y0 @ ( powerset @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( subset @ '#sk1' @ Y0 )
=> ( in @ '#sk1' @ ( powerset @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
~ ( ( subset @ '#sk1' @ '#sk2' )
=> ( in @ '#sk1' @ ( powerset @ '#sk2' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
~ ( in @ '#sk1' @ ( powerset @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( in @ Y1 @ ( powerset @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ X2 ) ) )
=> ( in @ Y0 @ ( powerset @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X2: $i,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
=> ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
! [X2: $i,X4: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
| ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X4: $i] :
( ~ ( ( in @ ( '#sk3' @ X2 @ X4 ) @ X4 )
=> ( in @ ( '#sk3' @ X2 @ X4 ) @ X2 ) )
| ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i] :
( ( in @ ( '#sk3' @ X2 @ X4 ) @ X4 )
| ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl14,plain,
subset @ '#sk1' @ '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ X2 @ Y0 )
=> ( ( in @ Y1 @ X2 )
=> ( in @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( subset @ X2 @ X4 )
=> ( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( subset @ X2 @ X4 )
=> ( ( in @ X6 @ X2 )
=> ( in @ X6 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl18,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( subset @ X2 @ X4 )
| ( ( in @ X6 @ X2 )
=> ( in @ X6 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X2 )
| ( in @ X6 @ X4 )
| ~ ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ( in @ X0 @ '#sk2' )
| ~ ( in @ X0 @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl19]) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( in @ '#sk1' @ ( powerset @ X0 ) )
| ( in @ ( '#sk3' @ X0 @ '#sk1' ) @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl20]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ ( '#sk3' @ X2 @ X4 ) @ X2 )
| ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl26,plain,
( ( in @ '#sk1' @ ( powerset @ '#sk2' ) )
| ( in @ '#sk1' @ ( powerset @ '#sk2' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl17]) ).
thf(zip_derived_cl32,plain,
in @ '#sk1' @ ( powerset @ '#sk2' ),
inference(simplify,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl40,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.83 % Problem : SEU573^2 : TPTP v9.2.0. Released v3.7.0.
% 0.08/0.91 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NpBxV4yUvC true
% 0.11/1.24 % Computer : n012.cluster.edu
% 0.11/1.24 % Model : x86_64 x86_64
% 0.11/1.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/1.24 % Memory : 8042.1875MB
% 0.11/1.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/1.24 % CPULimit : 300
% 0.11/1.24 % WCLimit : 300
% 0.11/1.24 % DateTime : Wed Oct 1 16:01:39 EDT 2025
% 0.13/1.26 % CPUTime :
% 0.13/1.26 % Running portfolio for 300 s
% 0.13/1.26 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/1.28 % Number of cores: 8
% 0.13/1.29 % Python version: Python 3.6.8
% 0.13/1.31 % Running in HO mode
% 0.35/1.76 % Total configuration time : 828
% 0.35/1.76 % Estimated wc time : 1656
% 0.35/1.76 % Estimated cpu time (8 cpus) : 207.0
% 0.36/2.09 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.36/2.10 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.37/2.12 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.37/2.12 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.37/2.14 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.92/2.17 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.92/2.17 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.92/2.17 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.92/2.22 % Solved by lams/35_full_unif4.sh.
% 0.92/2.22 % done 8 iterations in 0.014s
% 0.92/2.22 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.92/2.22 % SZS output start Refutation
% See solution above
% 0.92/2.22
% 0.92/2.22
% 0.92/2.22 % Terminating...
% 1.29/2.53 % Runner terminated.
% 1.29/2.54 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------