%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU518^2 : 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.lrvXljwYUA true
% Computer : n029.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 04:54:53 PM UTC 2025
% Result : Theorem 0.44s 0.85s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 109 ( 7 equ; 0 cnn)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 299 ( 10 ~; 5 |; 0 &; 221 @)
% ( 8 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 6 con; 0-2 aty)
% ( 20 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 60 ( 21 ^; 39 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf('#sk3_type',type,
'#sk3': $i > $i > $i ).
thf(powersetAx_type,type,
powersetAx: $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(powersetAx,axiom,
( powersetAx
= ( ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
<=> ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) ) ) ).
thf('0',plain,
( powersetAx
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
<=> ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(powersetI,conjecture,
( powersetAx
=> ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
<=> ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) ) )
=> ! [X10: $i,X12: $i] :
( ! [X14: $i] :
( ( in @ X14 @ X12 )
=> ( in @ X14 @ X10 ) )
=> ( in @ X12 @ ( powerset @ X10 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
<=> ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) ) )
=> ! [X10: $i,X12: $i] :
( ! [X14: $i] :
( ( in @ X14 @ X12 )
=> ( in @ X14 @ X10 ) )
=> ( in @ X12 @ ( powerset @ X10 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
<=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( in @ Y1 @ ( powerset @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
<=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
<=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X2 ) )
<=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X2 ) )
= ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X2 ) )
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) )
@ ( '#sk3' @ X2 @ X4 ) ) ),
inference(quantifier_rw,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X2 ) )
= ( ( in @ ( '#sk3' @ X2 @ X4 ) @ X4 )
=> ( in @ ( '#sk3' @ X2 @ X4 ) @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( ( in @ ( '#sk3' @ X2 @ X4 ) @ X4 )
=> ( in @ ( '#sk3' @ X2 @ X4 ) @ X2 ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl28,plain,
! [X2: $i,X4: $i] :
( ( in @ ( '#sk3' @ X2 @ X4 ) @ X4 )
| ( in @ X4 @ ( powerset @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl2,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_cl4,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ '#sk1' ) ) )
=> ( in @ Y0 @ ( powerset @ '#sk1' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk2' )
=> ( in @ Y0 @ '#sk1' ) ) )
=> ( in @ '#sk2' @ ( powerset @ '#sk1' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk2' )
=> ( in @ Y0 @ '#sk1' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl16,plain,
! [X2: $i] :
( ( in @ X2 @ '#sk2' )
=> ( in @ X2 @ '#sk1' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl17,plain,
! [X2: $i] :
( ~ ( in @ X2 @ '#sk2' )
| ( in @ X2 @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ( in @ '#sk2' @ ( powerset @ X0 ) )
| ( in @ ( '#sk3' @ X0 @ '#sk2' ) @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl17]) ).
thf(zip_derived_cl12_001,plain,
! [X2: $i,X4: $i] :
( ( in @ X4 @ ( powerset @ X2 ) )
= ( ( in @ ( '#sk3' @ X2 @ X4 ) @ X4 )
=> ( in @ ( '#sk3' @ X2 @ X4 ) @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl54,plain,
( ( ( in @ '#sk2' @ ( powerset @ '#sk1' ) )
= ( ( in @ ( '#sk3' @ '#sk1' @ '#sk2' ) @ '#sk2' )
=> $true ) )
| ( in @ '#sk2' @ ( powerset @ '#sk1' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl12]) ).
thf(zip_derived_cl11,plain,
~ ( in @ '#sk2' @ ( powerset @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11_002,plain,
~ ( in @ '#sk2' @ ( powerset @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl61,plain,
~ ( ( in @ ( '#sk3' @ '#sk1' @ '#sk2' ) @ '#sk2' )
=> $true ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl11,zip_derived_cl11]) ).
thf(zip_derived_cl62,plain,
$false,
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU518^2 : TPTP v9.2.0. Released v3.7.0.
% 0.08/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.lrvXljwYUA true
% 0.09/0.32 % Computer : n029.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Wed Oct 1 16:09:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.43/0.66 % Total configuration time : 828
% 0.43/0.66 % Estimated wc time : 1656
% 0.43/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.44/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.44/0.81 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.44/0.85 % Solved by lams/35_full_unif4.sh.
% 0.44/0.85 % done 16 iterations in 0.020s
% 0.44/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.44/0.85 % SZS output start Refutation
% See solution above
% 0.44/0.85
% 0.44/0.85
% 0.44/0.85 % Terminating...
% 0.51/0.97 % Runner terminated.
% 0.51/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------