%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU716^2 : 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.8KguTZ3iER 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 04:55:56 PM UTC 2025
% Result : Theorem 0.37s 0.78s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 43 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 211 ( 4 equ; 0 cnn)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 588 ( 22 ~; 12 |; 0 &; 406 @)
% ( 0 <=>; 104 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 7 con; 0-2 aty)
% ( 44 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 107 ( 44 ^; 63 !; 0 ?; 107 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk4_type',type,
'#sk4': $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(powersetE_type,type,
powersetE: $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(subsetI2_type,type,
subsetI2: $o ).
thf('#sk3_type',type,
'#sk3': $i > $i > $i ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(subsetI2,axiom,
( subsetI2
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('0',plain,
( subsetI2
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(powersetE,axiom,
( powersetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) ) ) ).
thf('1',plain,
( powersetE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(subsetTI,conjecture,
( powersetE
=> ( subsetI2
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ! [Y: $i] :
( ( in @ Y @ ( powerset @ A ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( ( in @ Xx @ X )
=> ( in @ Xx @ Y ) ) )
=> ( subset @ X @ Y ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) ) )
=> ( ! [X10: $i,X12: $i] :
( ! [X14: $i] :
( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) )
=> ( subset @ X10 @ X12 ) )
=> ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ! [X20: $i] :
( ( in @ X20 @ ( powerset @ X16 ) )
=> ( ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ( ( in @ X22 @ X18 )
=> ( in @ X22 @ X20 ) ) )
=> ( subset @ X18 @ X20 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) ) )
=> ( ! [X10: $i,X12: $i] :
( ! [X14: $i] :
( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) )
=> ( subset @ X10 @ X12 ) )
=> ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ! [X20: $i] :
( ( in @ X20 @ ( powerset @ X16 ) )
=> ( ! [X22: $i] :
( ( in @ X22 @ X16 )
=> ( ( in @ X22 @ X18 )
=> ( in @ X22 @ X20 ) ) )
=> ( subset @ X18 @ X20 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( in @ Y3 @ Y1 )
=> ( in @ Y3 @ Y2 ) ) ) )
=> ( subset @ Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( in @ Y3 @ Y1 )
=> ( in @ Y3 @ Y2 ) ) ) )
=> ( subset @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y0 ) )
=> ( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( in @ Y3 @ Y1 )
=> ( in @ Y3 @ Y2 ) ) ) )
=> ( subset @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ '#sk1' ) )
=> ( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ '#sk1' )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
~ ( ( in @ '#sk2' @ ( powerset @ '#sk1' ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk1' )
=> ( ( in @ Y1 @ '#sk2' )
=> ( in @ Y1 @ Y0 ) ) ) )
=> ( subset @ '#sk2' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ '#sk1' ) )
=> ( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk1' )
=> ( ( in @ Y1 @ '#sk2' )
=> ( in @ Y1 @ Y0 ) ) ) )
=> ( subset @ '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl18,plain,
~ ( ( in @ '#sk4' @ ( powerset @ '#sk1' ) )
=> ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( ( in @ Y0 @ '#sk2' )
=> ( in @ Y0 @ '#sk4' ) ) ) )
=> ( subset @ '#sk2' @ '#sk4' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl22,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( ( in @ Y0 @ '#sk2' )
=> ( in @ Y0 @ '#sk4' ) ) ) )
=> ( subset @ '#sk2' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl24,plain,
~ ( subset @ '#sk2' @ '#sk4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( in @ Y1 @ Y0 ) ) )
=> ( subset @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X4 ) ) )
=> ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
! [X2: $i,X4: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X4 ) ) )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i] :
( ~ ( ( in @ ( '#sk3' @ X2 @ X4 ) @ X2 )
=> ( in @ ( '#sk3' @ X2 @ X4 ) @ X4 ) )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
! [X2: $i,X4: $i] :
( ( in @ ( '#sk3' @ X2 @ X4 ) @ X2 )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl24_001,plain,
~ ( subset @ '#sk2' @ '#sk4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl28,plain,
in @ ( '#sk3' @ '#sk2' @ '#sk4' ) @ '#sk2',
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl24]) ).
thf(zip_derived_cl23,plain,
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( ( in @ Y0 @ '#sk2' )
=> ( in @ Y0 @ '#sk4' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl25,plain,
! [X2: $i] :
( ( in @ X2 @ '#sk1' )
=> ( ( in @ X2 @ '#sk2' )
=> ( in @ X2 @ '#sk4' ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl26,plain,
! [X2: $i] :
( ~ ( in @ X2 @ '#sk1' )
| ( ( in @ X2 @ '#sk2' )
=> ( in @ X2 @ '#sk4' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl27,plain,
! [X2: $i] :
( ~ ( in @ X2 @ '#sk2' )
| ( in @ X2 @ '#sk4' )
| ~ ( in @ X2 @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl36,plain,
( ~ ( in @ ( '#sk3' @ '#sk2' @ '#sk4' ) @ '#sk1' )
| ( in @ ( '#sk3' @ '#sk2' @ '#sk4' ) @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl27]) ).
thf(zip_derived_cl28_002,plain,
in @ ( '#sk3' @ '#sk2' @ '#sk4' ) @ '#sk2',
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl24]) ).
thf(zip_derived_cl14,plain,
in @ '#sk2' @ ( powerset @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl1,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_cl0]) ).
thf(zip_derived_cl3,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_cl1]) ).
thf(zip_derived_cl6,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_cl3]) ).
thf(zip_derived_cl9,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_cl6]) ).
thf(zip_derived_cl12,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_cl9]) ).
thf(zip_derived_cl16,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_cl12]) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ( in @ X0 @ '#sk1' )
| ~ ( in @ X0 @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl16]) ).
thf(zip_derived_cl46,plain,
in @ ( '#sk3' @ '#sk2' @ '#sk4' ) @ '#sk1',
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl40]) ).
thf(zip_derived_cl48,plain,
in @ ( '#sk3' @ '#sk2' @ '#sk4' ) @ '#sk4',
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl46]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ ( '#sk3' @ X2 @ X4 ) @ X4 )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl49,plain,
subset @ '#sk2' @ '#sk4',
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl20]) ).
thf(zip_derived_cl53,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.18 % Problem : SEU716^2 : TPTP v9.2.0. Released v3.7.0.
% 0.09/0.19 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8KguTZ3iER true
% 0.09/0.39 % Computer : n016.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8042.1875MB
% 0.09/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Wed Oct 1 16:07:53 EDT 2025
% 0.09/0.39 % CPUTime :
% 0.09/0.39 % Running portfolio for 300 s
% 0.09/0.39 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.40 % Number of cores: 8
% 0.09/0.40 % Python version: Python 3.6.8
% 0.09/0.40 % Running in HO mode
% 0.37/0.63 % Total configuration time : 828
% 0.37/0.63 % Estimated wc time : 1656
% 0.37/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.37/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.37/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.37/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.37/0.78 % Solved by lams/35_full_unif4.sh.
% 0.37/0.78 % done 20 iterations in 0.019s
% 0.37/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.37/0.78 % SZS output start Refutation
% See solution above
% 0.37/0.79
% 0.37/0.79
% 0.37/0.79 % Terminating...
% 0.39/0.84 % Runner terminated.
% 0.39/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------