%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU572^2 : 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.JCJOTieqI3 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 04:55:07 PM UTC 2025
% Result : Theorem 0.54s 0.76s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 104 ( 4 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 280 ( 13 ~; 4 |; 0 &; 198 @)
% ( 0 <=>; 37 =>; 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 : 10 ( 7 usr; 7 con; 0-2 aty)
% ( 28 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 75 ( 28 ^; 47 !; 0 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk3_type',type,
'#sk3': $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(subsetTrans_type,type,
subsetTrans: $o ).
thf(setadjoinSub_type,type,
setadjoinSub: $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(setadjoinSub,axiom,
( setadjoinSub
= ( ! [Xx: $i,A: $i] : ( subset @ A @ ( setadjoin @ Xx @ A ) ) ) ) ).
thf('0',plain,
( setadjoinSub
= ( ! [X4: $i,X6: $i] : ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(subsetTrans,axiom,
( subsetTrans
= ( ! [A: $i,B: $i,C: $i] :
( ( subset @ A @ B )
=> ( ( subset @ B @ C )
=> ( subset @ A @ C ) ) ) ) ) ).
thf('1',plain,
( subsetTrans
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( subset @ X6 @ X8 )
=> ( subset @ X4 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(setadjoinSub2,conjecture,
( subsetTrans
=> ( setadjoinSub
=> ! [A: $i,Xx: $i,B: $i] :
( ( subset @ A @ B )
=> ( subset @ A @ ( setadjoin @ Xx @ B ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( subset @ X6 @ X8 )
=> ( subset @ X4 @ X8 ) ) )
=> ( ! [X10: $i,X12: $i] : ( subset @ X12 @ ( setadjoin @ X10 @ X12 ) )
=> ! [X14: $i,X16: $i,X18: $i] :
( ( subset @ X14 @ X18 )
=> ( subset @ X14 @ ( setadjoin @ X16 @ X18 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( subset @ X6 @ X8 )
=> ( subset @ X4 @ X8 ) ) )
=> ( ! [X10: $i,X12: $i] : ( subset @ X12 @ ( setadjoin @ X10 @ X12 ) )
=> ! [X14: $i,X16: $i,X18: $i] :
( ( subset @ X14 @ X18 )
=> ( subset @ X14 @ ( setadjoin @ X16 @ X18 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( subset @ Y1 @ Y2 )
=> ( subset @ Y0 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ Y1 @ ( setadjoin @ Y0 @ Y1 ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y2 )
=> ( subset @ Y0 @ ( setadjoin @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ Y1 @ ( setadjoin @ Y0 @ Y1 ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y2 )
=> ( subset @ Y0 @ ( setadjoin @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y2 )
=> ( subset @ Y0 @ ( setadjoin @ Y1 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ '#sk1' @ Y1 )
=> ( subset @ '#sk1' @ ( setadjoin @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( subset @ '#sk1' @ Y0 )
=> ( subset @ '#sk1' @ ( setadjoin @ '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl13,plain,
~ ( ( subset @ '#sk1' @ '#sk3' )
=> ( subset @ '#sk1' @ ( setadjoin @ '#sk2' @ '#sk3' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl16,plain,
~ ( subset @ '#sk1' @ ( setadjoin @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ Y1 @ ( setadjoin @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] : ( subset @ Y0 @ ( setadjoin @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i] : ( subset @ X4 @ ( setadjoin @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( subset @ Y1 @ Y2 )
=> ( subset @ Y0 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ X2 @ Y0 )
=> ( ( subset @ Y0 @ Y1 )
=> ( subset @ X2 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( subset @ X2 @ X4 )
=> ( ( subset @ X4 @ Y0 )
=> ( subset @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( subset @ X2 @ X4 )
=> ( ( subset @ X4 @ X6 )
=> ( subset @ X2 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( subset @ X2 @ X4 )
| ( ( subset @ X4 @ X6 )
=> ( subset @ X2 @ X6 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl14,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( subset @ X4 @ X6 )
| ( subset @ X2 @ X6 )
| ~ ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X2 @ X0 )
| ( subset @ X2 @ ( setadjoin @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl14]) ).
thf(zip_derived_cl27,plain,
~ ( subset @ '#sk1' @ '#sk3' ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl18]) ).
thf(zip_derived_cl15,plain,
subset @ '#sk1' @ '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl31,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU572^2 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JCJOTieqI3 true
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 16:05:38 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in HO mode
% 0.43/0.60 % Total configuration time : 828
% 0.43/0.60 % Estimated wc time : 1656
% 0.43/0.60 % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.76 % Solved by lams/35_full_unif4.sh.
% 0.54/0.76 % done 6 iterations in 0.012s
% 0.54/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.76 % SZS output start Refutation
% See solution above
% 0.54/0.76
% 0.54/0.76
% 0.54/0.77 % Terminating...
% 1.66/0.82 % Runner terminated.
% 1.66/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------