%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET014^4 : TPTP v9.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1qsGtBgOyH true
% Computer : n012.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 04:51:07 PM UTC 2025
% Result : Theorem 1.25s 0.74s
% Output : Refutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 83 ( 6 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 208 ( 10 ~; 16 |; 8 &; 115 @)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 3 con; 0-3 aty)
% ( 23 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 60 ( 38 ^; 22 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(union_type,type,
union: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i > $o ).
thf('#sk3_type',type,
'#sk3': $i > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf(subset_type,type,
subset: ( $i > $o ) > ( $i > $o ) > $o ).
thf('#sk2_type',type,
'#sk2': $i > $o ).
thf(subset,axiom,
( subset
= ( ^ [X: $i > $o,Y: $i > $o] :
! [U: $i] :
( ( X @ U )
=> ( Y @ U ) ) ) ) ).
thf('0',plain,
( subset
= ( ^ [X: $i > $o,Y: $i > $o] :
! [U: $i] :
( ( X @ U )
=> ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[subset]) ).
thf('1',plain,
( subset
= ( ^ [V_1: $i > $o,V_2: $i > $o] :
! [X4: $i] :
( ( V_1 @ X4 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(union,axiom,
( union
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('2',plain,
( union
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[union]) ).
thf('3',plain,
( union
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [X: $i > $o,Y: $i > $o,A: $i > $o] :
( ( ( subset @ X @ A )
& ( subset @ Y @ A ) )
=> ( subset @ ( union @ X @ Y ) @ A ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $o,X6: $i > $o,X8: $i > $o] :
( ( ! [X12: $i] :
( ( X6 @ X12 )
=> ( X8 @ X12 ) )
& ! [X10: $i] :
( ( X4 @ X10 )
=> ( X8 @ X10 ) ) )
=> ! [X14: $i] :
( ( ( X6 @ X14 )
| ( X4 @ X14 ) )
=> ( X8 @ X14 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $o,X6: $i > $o,X8: $i > $o] :
( ( ! [X12: $i] :
( ( X6 @ X12 )
=> ( X8 @ X12 ) )
& ! [X10: $i] :
( ( X4 @ X10 )
=> ( X8 @ X10 ) ) )
=> ! [X14: $i] :
( ( ( X6 @ X14 )
| ( X4 @ X14 ) )
=> ( X8 @ X14 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !!
@ ^ [Y3: $i] :
( ( Y0 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( !!
@ ^ [Y3: $i] :
( ( ( Y1 @ Y3 )
| ( Y0 @ Y3 ) )
=> ( Y2 @ Y3 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( !!
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
| ( '#sk1' @ Y2 ) )
=> ( Y1 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: $i] :
( ( ( '#sk2' @ Y1 )
| ( '#sk1' @ Y1 ) )
=> ( Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( ( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) )
=> ( '#sk3' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( ( '#sk2' @ Y0 )
| ( '#sk1' @ Y0 ) )
=> ( '#sk3' @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
~ ( ( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) )
=> ( '#sk3' @ '#sk4' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
~ ( '#sk3' @ '#sk4' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl11,plain,
( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
( ( '#sk2' @ '#sk4' )
| ( '#sk1' @ '#sk4' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl4,plain,
( ( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
=> ( '#sk3' @ Y0 ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] :
( ( '#sk1' @ X2 )
=> ( '#sk3' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl14,plain,
! [X2: $i] :
( ~ ( '#sk1' @ X2 )
| ( '#sk3' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl16,plain,
( ( '#sk2' @ '#sk4' )
| ( '#sk3' @ '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl14]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
=> ( '#sk3' @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
( ( '#sk2' @ X2 )
=> ( '#sk3' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
! [X2: $i] :
( ~ ( '#sk2' @ X2 )
| ( '#sk3' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl20,plain,
'#sk3' @ '#sk4',
inference(clc,[status(thm)],[zip_derived_cl16,zip_derived_cl13]) ).
thf(zip_derived_cl21,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET014^4 : TPTP v9.2.0. Released v3.6.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1qsGtBgOyH true
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 13:13:53 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.10/0.31 % Running in HO mode
% 0.15/0.60 % Total configuration time : 828
% 0.15/0.60 % Estimated wc time : 1656
% 0.15/0.60 % Estimated cpu time (8 cpus) : 207.0
% 0.90/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.90/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.90/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.90/0.70 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.25/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.25/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.25/0.74 % Solved by lams/35_full_unif4.sh.
% 1.25/0.74 % done 4 iterations in 0.018s
% 1.25/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.25/0.74 % SZS output start Refutation
% See solution above
% 1.25/0.74
% 1.25/0.74
% 1.25/0.75 % Terminating...
% 1.43/0.79 % Runner terminated.
% 1.43/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------