%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU712^2 : 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.lVqzcFIRaB true
% Computer : n021.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 04:55:54 PM UTC 2025
% Result : Theorem 0.61s 0.88s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 154 ( 4 equ; 0 cnn)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 509 ( 18 ~; 22 |; 0 &; 384 @)
% ( 0 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 6 con; 0-2 aty)
% ( 29 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 100 ( 29 ^; 71 !; 0 ?; 100 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk3_type',type,
'#sk3': $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(powersetI_type,type,
powersetI: $o ).
thf(powersetE_type,type,
powersetE: $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(powersetE,axiom,
( powersetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) ) ) ).
thf('0',plain,
( powersetE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) ) ) ) ),
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(powersetT_lem,conjecture,
( powersetI
=> ( powersetE
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ( in @ ( powerset @ X ) @ ( powerset @ ( powerset @ A ) ) ) ) ) ) ).
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] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ( ( in @ X14 @ X12 )
=> ( in @ X14 @ X10 ) ) )
=> ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ( in @ ( powerset @ X18 ) @ ( powerset @ ( powerset @ X16 ) ) ) ) ) ) ).
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] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ( ( in @ X14 @ X12 )
=> ( in @ X14 @ X10 ) ) )
=> ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ( in @ ( powerset @ X18 ) @ ( powerset @ ( powerset @ X16 ) ) ) ) ) ),
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] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( in @ ( powerset @ Y1 ) @ ( powerset @ ( powerset @ Y0 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( in @ ( powerset @ Y1 ) @ ( powerset @ ( powerset @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( in @ ( powerset @ Y1 ) @ ( powerset @ ( powerset @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( in @ ( powerset @ Y0 ) @ ( powerset @ ( powerset @ '#sk1' ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
~ ( ( in @ '#sk2' @ ( powerset @ '#sk1' ) )
=> ( in @ ( powerset @ '#sk2' ) @ ( powerset @ ( powerset @ '#sk1' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
~ ( in @ ( powerset @ '#sk2' ) @ ( powerset @ ( powerset @ '#sk1' ) ) ),
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_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_cl17_001,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_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_cl16_002,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_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ X4 @ ( powerset @ X2 ) )
=> ( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ X4 @ ( powerset @ X2 ) )
=> ( ( in @ X6 @ X4 )
=> ( in @ X6 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl18,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X4 @ ( powerset @ X2 ) )
| ( ( in @ X6 @ X4 )
=> ( in @ X6 @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X4 )
| ( in @ X6 @ X2 )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( powerset @ X0 ) @ ( powerset @ X1 ) )
| ( in @ X2 @ X0 )
| ~ ( in @ X2 @ ( '#sk3' @ X1 @ ( powerset @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl19]) ).
thf(zip_derived_cl46,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( '#sk3' @ X1 @ ( powerset @ X0 ) ) @ ( powerset @ X2 ) )
| ( in @ ( '#sk3' @ X2 @ ( '#sk3' @ X1 @ ( powerset @ X0 ) ) ) @ X0 )
| ( in @ ( powerset @ X0 ) @ ( powerset @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl24]) ).
thf(zip_derived_cl14,plain,
in @ '#sk2' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl19_003,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X4 )
| ( in @ X6 @ X2 )
| ~ ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ( in @ X0 @ '#sk1' )
| ~ ( in @ X0 @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl19]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i] :
( ( in @ ( powerset @ '#sk2' ) @ ( powerset @ X0 ) )
| ( in @ ( '#sk3' @ X0 @ ( powerset @ '#sk2' ) ) @ ( powerset @ X1 ) )
| ( in @ ( '#sk3' @ X1 @ ( '#sk3' @ X0 @ ( powerset @ '#sk2' ) ) ) @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl20]) ).
thf(zip_derived_cl63,plain,
! [X0: $i] :
( ( in @ ( '#sk3' @ X0 @ ( powerset @ '#sk2' ) ) @ ( powerset @ '#sk1' ) )
| ( in @ ( '#sk3' @ X0 @ ( powerset @ '#sk2' ) ) @ ( powerset @ '#sk1' ) )
| ( in @ ( powerset @ '#sk2' ) @ ( powerset @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl50]) ).
thf(zip_derived_cl66,plain,
! [X0: $i] :
( ( in @ ( powerset @ '#sk2' ) @ ( powerset @ X0 ) )
| ( in @ ( '#sk3' @ X0 @ ( powerset @ '#sk2' ) ) @ ( powerset @ '#sk1' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl72,plain,
( ( in @ ( powerset @ '#sk2' ) @ ( powerset @ ( powerset @ '#sk1' ) ) )
| ( in @ ( powerset @ '#sk2' ) @ ( powerset @ ( powerset @ '#sk1' ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl66]) ).
thf(zip_derived_cl76,plain,
in @ ( powerset @ '#sk2' ) @ ( powerset @ ( powerset @ '#sk1' ) ),
inference(simplify,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl80,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU712^2 : TPTP v9.2.0. Released v3.7.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lVqzcFIRaB true
% 0.14/0.35 % Computer : n021.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 16:10:23 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.22/0.36 % Python version: Python 3.6.8
% 0.22/0.36 % Running in HO mode
% 0.59/0.69 % Total configuration time : 828
% 0.59/0.69 % Estimated wc time : 1656
% 0.59/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.82 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.82 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.82 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.61/0.85 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.61/0.88 % Solved by lams/35_full_unif4.sh.
% 0.61/0.88 % done 29 iterations in 0.027s
% 0.61/0.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.61/0.88 % SZS output start Refutation
% See solution above
% 0.61/0.88
% 0.61/0.88
% 0.61/0.88 % Terminating...
% 0.67/0.99 % Runner terminated.
% 0.67/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------