%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU575^2 : 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.eiRbaIKybC true
% Computer : n007.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 04:55:09 PM UTC 2025
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 86 ( 27 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 158 ( 13 ~; 6 |; 0 &; 92 @)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 6 con; 0-2 aty)
% ( 12 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 37 ( 12 ^; 25 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1_type',type,
'#sk1': $i ).
thf(setextsub_type,type,
setextsub: $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(emptysetsubset_type,type,
emptysetsubset: $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(setextsub,axiom,
( setextsub
= ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( subset @ B @ A )
=> ( A = B ) ) ) ) ) ).
thf('0',plain,
( setextsub
= ( ! [X4: $i,X6: $i] :
( ( subset @ X4 @ X6 )
=> ( ( subset @ X6 @ X4 )
=> ( X4 = X6 ) ) ) ) ),
define([status(thm)]) ).
thf(emptysetsubset,axiom,
( emptysetsubset
= ( ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
thf('1',plain,
( emptysetsubset
= ( ! [X4: $i] : ( subset @ emptyset @ X4 ) ) ),
define([status(thm)]) ).
thf(subsetemptysetimpeq,conjecture,
( emptysetsubset
=> ( setextsub
=> ! [A: $i] :
( ( subset @ A @ emptyset )
=> ( A = emptyset ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i] : ( subset @ emptyset @ X4 )
=> ( ! [X6: $i,X8: $i] :
( ( subset @ X6 @ X8 )
=> ( ( subset @ X8 @ X6 )
=> ( X6 = X8 ) ) )
=> ! [X10: $i] :
( ( subset @ X10 @ emptyset )
=> ( X10 = emptyset ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i] : ( subset @ emptyset @ X4 )
=> ( ! [X6: $i,X8: $i] :
( ( subset @ X6 @ X8 )
=> ( ( subset @ X8 @ X6 )
=> ( X6 = X8 ) ) )
=> ! [X10: $i] :
( ( subset @ X10 @ emptyset )
=> ( X10 = emptyset ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] : ( subset @ emptyset @ Y0 ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( subset @ Y1 @ Y0 )
=> ( Y0 = Y1 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( subset @ Y0 @ emptyset )
=> ( Y0 = emptyset ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( subset @ Y1 @ Y0 )
=> ( Y0 = Y1 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( subset @ Y0 @ emptyset )
=> ( Y0 = emptyset ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( subset @ Y0 @ emptyset )
=> ( Y0 = emptyset ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
~ ( ( subset @ '#sk1' @ emptyset )
=> ( '#sk1' = emptyset ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
subset @ '#sk1' @ emptyset,
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( subset @ Y1 @ Y0 )
=> ( Y0 = Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( subset @ X2 @ Y0 )
=> ( ( subset @ Y0 @ X2 )
=> ( X2 = Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
! [X2: $i,X4: $i] :
( ( subset @ X2 @ X4 )
=> ( ( subset @ X4 @ X2 )
=> ( X2 = X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
! [X2: $i,X4: $i] :
( ~ ( subset @ X2 @ X4 )
| ( ( subset @ X4 @ X2 )
=> ( X2 = X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl13,plain,
! [X2: $i,X4: $i] :
( ~ ( subset @ X4 @ X2 )
| ( X2 = X4 )
| ~ ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl14,plain,
! [X2: $i,X4: $i] :
( ~ ( subset @ X4 @ X2 )
| ( X2 = X4 )
| ~ ( subset @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl15,plain,
( ~ ( subset @ emptyset @ '#sk1' )
| ( emptyset = '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl14]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] : ( subset @ emptyset @ Y0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] : ( subset @ emptyset @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl21,plain,
emptyset = '#sk1',
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
'#sk1' != emptyset,
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl12,plain,
'#sk1' != emptyset,
inference('simplify nested equalities',[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl22,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl21,zip_derived_cl12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU575^2 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eiRbaIKybC true
% 0.14/0.35 % Computer : n007.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 16:00:53 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
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.57/0.67 % Total configuration time : 828
% 0.57/0.67 % Estimated wc time : 1656
% 0.57/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.75 % Solved by lams/35_full_unif4.sh.
% 0.57/0.75 % done 3 iterations in 0.009s
% 0.57/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.75 % SZS output start Refutation
% See solution above
% 0.57/0.75
% 0.57/0.75
% 0.57/0.75 % Terminating...
% 1.67/0.86 % Runner terminated.
% 1.67/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------