%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET056+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DJ9jSYKgYK true
% Computer : n026.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 04:51:20 PM UTC 2025
% Result : Theorem 0.48s 0.77s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 42 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 148 ( 20 equ; 10 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 361 ( 31 ~; 22 |; 21 &; 248 @)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 5 usr; 7 con; 0-2 aty)
% ( 13 !!; 8 ??; 0 @@+; 0 @@-)
% Number of variables : 69 ( 22 ^; 43 !; 4 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(subclass_type,type,
subclass: $i > $i > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf('#sk1_type',type,
'#sk1': $i > $i > $i ).
thf(subclass_defn,axiom,
! [X: $i,Y: $i] :
( ( subclass @ X @ Y )
<=> ! [U: $i] :
( ( member @ U @ X )
=> ( member @ U @ Y ) ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subclass @ Y0 @ Y1 )
<=> ( !!
@ ^ [Y2: $i] :
( ( member @ Y2 @ Y0 )
=> ( member @ Y2 @ Y1 ) ) ) ) ) ),
inference(cnf,[status(esa)],[subclass_defn]) ).
thf(zip_derived_cl48,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( subclass @ X2 @ Y0 )
<=> ( !!
@ ^ [Y1: $i] :
( ( member @ Y1 @ X2 )
=> ( member @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl49,plain,
! [X2: $i,X4: $i] :
( ( subclass @ X2 @ X4 )
<=> ( !!
@ ^ [Y0: $i] :
( ( member @ Y0 @ X2 )
=> ( member @ Y0 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl50,plain,
! [X2: $i,X4: $i] :
( ( subclass @ X2 @ X4 )
= ( !!
@ ^ [Y0: $i] :
( ( member @ Y0 @ X2 )
=> ( member @ Y0 @ X4 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl52,plain,
! [X2: $i,X4: $i] :
( ( subclass @ X2 @ X4 )
= ( ^ [Y0: $i] :
( ( member @ Y0 @ X2 )
=> ( member @ Y0 @ X4 ) )
@ ( '#sk1' @ X2 @ X4 ) ) ),
inference(quantifier_rw,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl53,plain,
! [X2: $i,X4: $i] :
( ( subclass @ X2 @ X4 )
= ( ( member @ ( '#sk1' @ X2 @ X4 ) @ X2 )
=> ( member @ ( '#sk1' @ X2 @ X4 ) @ X4 ) ) ),
inference(rw,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl59,plain,
! [X2: $i,X4: $i] :
( ( member @ ( '#sk1' @ X2 @ X4 ) @ X2 )
| ( ( subclass @ X2 @ X4 )
= ( $false
=> ( member @ ( '#sk1' @ X2 @ X4 ) @ X4 ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl60,plain,
! [X2: $i,X4: $i] :
( ( member @ ( '#sk1' @ X2 @ X4 ) @ X2 )
| ( subclass @ X2 @ X4 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl59]) ).
thf(equality1,conjecture,
! [X: $i,Y: $i] :
( ( X = Y )
| ? [U: $i] :
( ( member @ U @ X )
& ~ ( member @ U @ Y ) )
| ? [W: $i] :
( ( member @ W @ Y )
& ~ ( member @ W @ X ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i] :
( ( X = Y )
| ? [U: $i] :
( ( member @ U @ X )
& ~ ( member @ U @ Y ) )
| ? [W: $i] :
( ( member @ W @ Y )
& ~ ( member @ W @ X ) ) ),
inference('cnf.neg',[status(esa)],[equality1]) ).
thf(zip_derived_cl43,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( Y0 = Y1 )
| ( ??
@ ^ [Y2: $i] :
( ( member @ Y2 @ Y0 )
& ( (~) @ ( member @ Y2 @ Y1 ) ) ) )
| ( ??
@ ^ [Y2: $i] :
( ( member @ Y2 @ Y1 )
& ( (~) @ ( member @ Y2 @ Y0 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( '#sk2' = Y0 )
| ( ??
@ ^ [Y1: $i] :
( ( member @ Y1 @ '#sk2' )
& ( (~) @ ( member @ Y1 @ Y0 ) ) ) )
| ( ??
@ ^ [Y1: $i] :
( ( member @ Y1 @ Y0 )
& ( (~) @ ( member @ Y1 @ '#sk2' ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl112,plain,
~ ( ( '#sk2' = '#sk3' )
| ( ??
@ ^ [Y0: $i] :
( ( member @ Y0 @ '#sk2' )
& ( (~) @ ( member @ Y0 @ '#sk3' ) ) ) )
| ( ??
@ ^ [Y0: $i] :
( ( member @ Y0 @ '#sk3' )
& ( (~) @ ( member @ Y0 @ '#sk2' ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl114,plain,
~ ( ??
@ ^ [Y0: $i] :
( ( member @ Y0 @ '#sk2' )
& ( (~) @ ( member @ Y0 @ '#sk3' ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl117,plain,
! [X2: $i] :
~ ( ( member @ X2 @ '#sk2' )
& ( (~) @ ( member @ X2 @ '#sk3' ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl119,plain,
! [X2: $i] :
( ~ ( member @ X2 @ '#sk2' )
| ( member @ X2 @ '#sk3' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl121,plain,
! [X0: $i] :
( ( subclass @ '#sk2' @ X0 )
| ( member @ ( '#sk1' @ '#sk2' @ X0 ) @ '#sk3' ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl119]) ).
thf(zip_derived_cl53_001,plain,
! [X2: $i,X4: $i] :
( ( subclass @ X2 @ X4 )
= ( ( member @ ( '#sk1' @ X2 @ X4 ) @ X2 )
=> ( member @ ( '#sk1' @ X2 @ X4 ) @ X4 ) ) ),
inference(rw,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl57,plain,
! [X2: $i,X4: $i] :
( ( subclass @ X2 @ X4 )
| ~ ( ( member @ ( '#sk1' @ X2 @ X4 ) @ X2 )
=> ( member @ ( '#sk1' @ X2 @ X4 ) @ X4 ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl72,plain,
! [X2: $i,X4: $i] :
( ~ ( member @ ( '#sk1' @ X2 @ X4 ) @ X4 )
| ( subclass @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl213,plain,
( ( subclass @ '#sk2' @ '#sk3' )
| ( subclass @ '#sk2' @ '#sk3' ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl72]) ).
thf(zip_derived_cl214,plain,
subclass @ '#sk2' @ '#sk3',
inference(simplify,[status(thm)],[zip_derived_cl213]) ).
thf(extensionality,axiom,
! [X: $i,Y: $i] :
( ( X = Y )
<=> ( ( subclass @ Y @ X )
& ( subclass @ X @ Y ) ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( Y0 = Y1 )
<=> ( ( subclass @ Y1 @ Y0 )
& ( subclass @ Y0 @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[extensionality]) ).
thf(zip_derived_cl79,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( X2 = Y0 )
<=> ( ( subclass @ Y0 @ X2 )
& ( subclass @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl80,plain,
! [X2: $i,X4: $i] :
( ( X2 = X4 )
<=> ( ( subclass @ X4 @ X2 )
& ( subclass @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl81,plain,
! [X2: $i,X4: $i] :
( ( X2 = X4 )
= ( ( subclass @ X4 @ X2 )
& ( subclass @ X2 @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl215,plain,
( ( '#sk3' = '#sk2' )
= ( $true
& ( subclass @ '#sk3' @ '#sk2' ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl81]) ).
thf(zip_derived_cl113,plain,
'#sk2' != '#sk3',
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl116,plain,
'#sk2' != '#sk3',
inference('simplify nested equalities',[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl217,plain,
~ ( $true
& ( subclass @ '#sk3' @ '#sk2' ) ),
inference(inner_simplify_reflect,[status(thm)],[zip_derived_cl215,zip_derived_cl116]) ).
thf(zip_derived_cl218,plain,
~ ( subclass @ '#sk3' @ '#sk2' ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl217]) ).
thf(zip_derived_cl60_002,plain,
! [X2: $i,X4: $i] :
( ( member @ ( '#sk1' @ X2 @ X4 ) @ X2 )
| ( subclass @ X2 @ X4 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl115,plain,
~ ( ??
@ ^ [Y0: $i] :
( ( member @ Y0 @ '#sk3' )
& ( (~) @ ( member @ Y0 @ '#sk2' ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl118,plain,
! [X2: $i] :
~ ( ( member @ X2 @ '#sk3' )
& ( (~) @ ( member @ X2 @ '#sk2' ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl115]) ).
thf(zip_derived_cl120,plain,
! [X2: $i] :
( ~ ( member @ X2 @ '#sk3' )
| ( member @ X2 @ '#sk2' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl118]) ).
thf(zip_derived_cl122,plain,
! [X0: $i] :
( ( subclass @ '#sk3' @ X0 )
| ( member @ ( '#sk1' @ '#sk3' @ X0 ) @ '#sk2' ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl120]) ).
thf(zip_derived_cl72_003,plain,
! [X2: $i,X4: $i] :
( ~ ( member @ ( '#sk1' @ X2 @ X4 ) @ X4 )
| ( subclass @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl231,plain,
( ( subclass @ '#sk3' @ '#sk2' )
| ( subclass @ '#sk3' @ '#sk2' ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl72]) ).
thf(zip_derived_cl232,plain,
subclass @ '#sk3' @ '#sk2',
inference(simplify,[status(thm)],[zip_derived_cl231]) ).
thf(zip_derived_cl233,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET056+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% 0.02/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DJ9jSYKgYK true
% 0.10/0.31 % Computer : n026.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 12:55:38 EDT 2025
% 0.15/0.31 % CPUTime :
% 0.15/0.31 % Running portfolio for 300 s
% 0.15/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.31 % Number of cores: 8
% 0.15/0.31 % Python version: Python 3.6.8
% 0.15/0.32 % Running in FO mode
% 0.45/0.56 % Total configuration time : 435
% 0.45/0.56 % Estimated wc time : 1092
% 0.45/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.48/0.77 % Solved by fo/fo1_lcnf.sh.
% 0.48/0.77 % done 41 iterations in 0.046s
% 0.48/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.77 % SZS output start Refutation
% See solution above
% 0.48/0.77
% 0.48/0.77
% 0.48/0.77 % Terminating...
% 1.58/0.89 % Runner terminated.
% 1.58/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------