%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU636^2 : 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.5QzuUpKA5K true
% Computer : n021.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 04:55:29 PM UTC 2025
% Result : Theorem 0.71s 0.73s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 49 ( 18 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 119 ( 6 ~; 3 |; 0 &; 93 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 25 ( 0 ^; 25 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(setextsub_type,type,
setextsub: $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(setunion_type,type,
setunion: $i > $i ).
thf(setunionsingleton2_type,type,
setunionsingleton2: $o ).
thf(setunionsingleton1_type,type,
setunionsingleton1: $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(setunionsingleton2,axiom,
( setunionsingleton2
= ( ! [A: $i] : ( subset @ A @ ( setunion @ ( setadjoin @ A @ emptyset ) ) ) ) ) ).
thf('0',plain,
( setunionsingleton2
= ( ! [X4: $i] : ( subset @ X4 @ ( setunion @ ( setadjoin @ X4 @ emptyset ) ) ) ) ),
define([status(thm)]) ).
thf(setunionsingleton1,axiom,
( setunionsingleton1
= ( ! [A: $i] : ( subset @ ( setunion @ ( setadjoin @ A @ emptyset ) ) @ A ) ) ) ).
thf('1',plain,
( setunionsingleton1
= ( ! [X4: $i] : ( subset @ ( setunion @ ( setadjoin @ X4 @ emptyset ) ) @ X4 ) ) ),
define([status(thm)]) ).
thf(setextsub,axiom,
( setextsub
= ( ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( subset @ B @ A )
=> ( A = B ) ) ) ) ) ).
thf('2',plain,
( setextsub
= ( ! [X4: $i,X6: $i] :
( ( subset @ X4 @ X6 )
=> ( ( subset @ X6 @ X4 )
=> ( X4 = X6 ) ) ) ) ),
define([status(thm)]) ).
thf(setunionsingleton,conjecture,
( setextsub
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ! [Xx: $i] :
( ( setunion @ ( setadjoin @ Xx @ emptyset ) )
= Xx ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( subset @ X4 @ X6 )
=> ( ( subset @ X6 @ X4 )
=> ( X4 = X6 ) ) )
=> ( ! [X8: $i] : ( subset @ ( setunion @ ( setadjoin @ X8 @ emptyset ) ) @ X8 )
=> ( ! [X10: $i] : ( subset @ X10 @ ( setunion @ ( setadjoin @ X10 @ emptyset ) ) )
=> ! [X12: $i] :
( ( setunion @ ( setadjoin @ X12 @ emptyset ) )
= X12 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( subset @ X4 @ X6 )
=> ( ( subset @ X6 @ X4 )
=> ( X4 = X6 ) ) )
=> ( ! [X8: $i] : ( subset @ ( setunion @ ( setadjoin @ X8 @ emptyset ) ) @ X8 )
=> ( ! [X10: $i] : ( subset @ X10 @ ( setunion @ ( setadjoin @ X10 @ emptyset ) ) )
=> ! [X12: $i] :
( ( setunion @ ( setadjoin @ X12 @ emptyset ) )
= X12 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
( ( setunion @ ( setadjoin @ sk__4 @ emptyset ) )
!= sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X3: $i] : ( subset @ ( setunion @ ( setadjoin @ X3 @ emptyset ) ) @ X3 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ X0 @ X1 )
| ( X1 = X0 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ( ( setunion @ ( setadjoin @ X0 @ emptyset ) )
= X0 )
| ~ ( subset @ X0 @ ( setunion @ ( setadjoin @ X0 @ emptyset ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl1,plain,
! [X2: $i] : ( subset @ X2 @ ( setunion @ ( setadjoin @ X2 @ emptyset ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( setunion @ ( setadjoin @ X0 @ emptyset ) )
= X0 ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).
thf(zip_derived_cl25,plain,
sk__4 != sk__4,
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl16]) ).
thf(zip_derived_cl26,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU636^2 : TPTP v9.2.0. Released v3.7.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5QzuUpKA5K true
% 0.10/0.31 % Computer : n021.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 16:11:38 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in HO mode
% 0.50/0.62 % Total configuration time : 828
% 0.50/0.62 % Estimated wc time : 1656
% 0.50/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.62/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.62/0.68 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.62/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.62/0.69 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.71/0.71 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.71/0.72 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.71/0.72 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.71/0.72 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.71/0.73 % Solved by lams/40_c.s.sh.
% 0.71/0.73 % done 4 iterations in 0.016s
% 0.71/0.73 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.71/0.73 % SZS output start Refutation
% See solution above
% 0.71/0.73
% 0.71/0.73
% 0.71/0.73 % Terminating...
% 0.82/0.82 % Runner terminated.
% 0.82/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------