%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU563^2 : 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.WSeL6toDta true
% Computer : n028.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 04:55:05 PM UTC 2025
% Result : Theorem 0.70s 0.74s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 84 ( 7 equ; 3 cnn)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 173 ( 12 ~; 0 |; 0 &; 113 @)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 7 usr; 8 con; 0-2 aty)
% ( 14 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 47 ( 20 ^; 27 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(subsetI2_type,type,
subsetI2: $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(emptysetimpfalse_type,type,
emptysetimpfalse: $o ).
thf(emptyset_type,type,
emptyset: $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(subset,axiom,
( subset
= ( ^ [A: $i,B: $i] :
! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ) ).
thf('1',plain,
( subset
= ( ^ [A: $i,B: $i] :
! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[subset]) ).
thf('2',plain,
( subset
= ( ^ [V_1: $i,V_2: $i] :
! [X4: $i] :
( ( in @ X4 @ V_1 )
=> ( in @ X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(emptysetimpfalse,axiom,
( emptysetimpfalse
= ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> $false ) ) ) ).
thf('3',plain,
( emptysetimpfalse
= ( ! [X4: $i] :
( ( in @ X4 @ emptyset )
=> $false ) ) ),
define([status(thm)]) ).
thf(emptysetsubset,conjecture,
( emptysetimpfalse
=> ( subsetI2
=> ! [A: $i] : ( subset @ emptyset @ A ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i] :
~ ( in @ X4 @ emptyset )
=> ( ! [X6: $i,X8: $i] :
( ! [X10: $i] :
( ( in @ X10 @ X6 )
=> ( in @ X10 @ X8 ) )
=> ! [X12: $i] :
( ( in @ X12 @ X6 )
=> ( in @ X12 @ X8 ) ) )
=> ! [X14: $i,X16: $i] :
( ( in @ X16 @ emptyset )
=> ( in @ X16 @ X14 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i] :
~ ( in @ X4 @ emptyset )
=> ( ! [X6: $i,X8: $i] :
( ! [X10: $i] :
( ( in @ X10 @ X6 )
=> ( in @ X10 @ X8 ) )
=> ! [X12: $i] :
( ( in @ X12 @ X6 )
=> ( in @ X12 @ X8 ) ) )
=> ! [X14: $i,X16: $i] :
( ( in @ X16 @ emptyset )
=> ( in @ X16 @ X14 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] : ( (~) @ ( in @ Y0 @ emptyset ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ emptyset )
=> ( in @ Y1 @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: $i] : ( (~) @ ( in @ Y0 @ emptyset ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ emptyset )
=> ( in @ Y1 @ Y0 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ emptyset )
=> ( in @ Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ emptyset )
=> ( in @ Y0 @ '#sk1' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
~ ( ( in @ '#sk2' @ emptyset )
=> ( in @ '#sk2' @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
in @ '#sk2' @ emptyset,
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i] : ( (~) @ ( in @ Y0 @ emptyset ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X2: $i] :
~ ( in @ X2 @ emptyset ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SEU563^2 : TPTP v9.2.0. Released v3.7.0.
% 0.05/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WSeL6toDta true
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 16:07:53 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in HO mode
% 0.46/0.55 % Total configuration time : 828
% 0.46/0.55 % Estimated wc time : 1656
% 0.46/0.55 % Estimated cpu time (8 cpus) : 207.0
% 0.64/0.64 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.64/0.65 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.68/0.69 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.68/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.68/0.71 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.70/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.70/0.74 % Solved by lams/35_full_unif4.sh.
% 0.70/0.74 % done 2 iterations in 0.008s
% 0.70/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.70/0.74 % SZS output start Refutation
% See solution above
% 0.70/0.74
% 0.70/0.74
% 0.70/0.74 % Terminating...
% 0.74/0.78 % Runner terminated.
% 0.74/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------