%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU101+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eXbu1XL36q true
% Computer : n011.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 04:53:26 PM UTC 2025
% Result : Theorem 1.24s 0.78s
% Output : Refutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 54 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 176 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 593 ( 97 ~; 84 |; 8 &; 374 @)
% ( 4 <=>; 6 =>; 20 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 63 ( 0 ^; 63 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
thf(cup_closed_type,type,
cup_closed: $i > $o ).
thf(sk__16_type,type,
sk__16: $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(sk__15_type,type,
sk__15: $i ).
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(diff_closed_type,type,
diff_closed: $i > $o ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(preboolean_type,type,
preboolean: $i > $o ).
thf(d1_finsub_1,axiom,
! [A: $i] :
( ( cup_closed @ A )
<=> ! [B: $i,C: $i] :
( ( ( in @ B @ A )
& ( in @ C @ A ) )
=> ( in @ ( set_union2 @ B @ C ) @ A ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( set_union2 @ X0 @ X1 ) @ X2 )
| ~ ( in @ X1 @ X2 )
| ~ ( in @ X0 @ X2 )
| ~ ( cup_closed @ X2 ) ),
inference(cnf,[status(esa)],[d1_finsub_1]) ).
thf(t10_finsub_1,conjecture,
! [A: $i] :
( ( preboolean @ A )
<=> ! [B: $i,C: $i] :
( ( ( in @ B @ A )
& ( in @ C @ A ) )
=> ( ( in @ ( set_union2 @ B @ C ) @ A )
& ( in @ ( set_difference @ B @ C ) @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( preboolean @ A )
<=> ! [B: $i,C: $i] :
( ( ( in @ B @ A )
& ( in @ C @ A ) )
=> ( ( in @ ( set_union2 @ B @ C ) @ A )
& ( in @ ( set_difference @ B @ C ) @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t10_finsub_1]) ).
thf(zip_derived_cl60,plain,
( ~ ( in @ ( set_difference @ sk__15 @ sk__16 ) @ sk__14 )
| ~ ( in @ ( set_union2 @ sk__15 @ sk__16 ) @ sk__14 )
| ~ ( preboolean @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81,plain,
( ~ ( in @ ( set_union2 @ sk__15 @ sk__16 ) @ sk__14 )
<= ~ ( in @ ( set_union2 @ sk__15 @ sk__16 ) @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl154,plain,
( ( ~ ( cup_closed @ sk__14 )
| ~ ( in @ sk__15 @ sk__14 )
| ~ ( in @ sk__16 @ sk__14 ) )
<= ~ ( in @ ( set_union2 @ sk__15 @ sk__16 ) @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl81]) ).
thf(zip_derived_cl164,plain,
( ~ ( cup_closed @ sk__14 )
<= ~ ( cup_closed @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(cc1_finsub_1,axiom,
! [A: $i] :
( ( preboolean @ A )
=> ( ( cup_closed @ A )
& ( diff_closed @ A ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( cup_closed @ X0 )
| ~ ( preboolean @ X0 ) ),
inference(cnf,[status(esa)],[cc1_finsub_1]) ).
thf(zip_derived_cl167,plain,
( ~ ( preboolean @ sk__14 )
<= ~ ( cup_closed @ sk__14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl164,zip_derived_cl2]) ).
thf(zip_derived_cl56,plain,
! [X0: $i,X1: $i] :
( ( in @ ( set_union2 @ X0 @ X1 ) @ sk__14 )
| ~ ( in @ X1 @ sk__14 )
| ~ ( in @ X0 @ sk__14 )
| ( preboolean @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74,plain,
( ( preboolean @ sk__14 )
<= ( preboolean @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf('0',plain,
( ( cup_closed @ sk__14 )
| ~ ( preboolean @ sk__14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl167,zip_derived_cl74]) ).
thf('1',plain,
( ( in @ ( set_union2 @ sk__15 @ sk__16 ) @ sk__14 )
| ~ ( in @ sk__16 @ sk__14 )
| ~ ( cup_closed @ sk__14 )
| ~ ( in @ sk__15 @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf(zip_derived_cl59,plain,
( ( in @ sk__16 @ sk__14 )
| ~ ( preboolean @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('2',plain,
( ( in @ sk__16 @ sk__14 )
| ~ ( preboolean @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl59]) ).
thf(d3_finsub_1,axiom,
! [A: $i] :
( ( diff_closed @ A )
<=> ! [B: $i,C: $i] :
( ( ( in @ B @ A )
& ( in @ C @ A ) )
=> ( in @ ( set_difference @ B @ C ) @ A ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( set_difference @ X0 @ X1 ) @ X2 )
| ~ ( in @ X1 @ X2 )
| ~ ( in @ X0 @ X2 )
| ~ ( diff_closed @ X2 ) ),
inference(cnf,[status(esa)],[d3_finsub_1]) ).
thf(zip_derived_cl82,plain,
( ~ ( in @ ( set_difference @ sk__15 @ sk__16 ) @ sk__14 )
<= ~ ( in @ ( set_difference @ sk__15 @ sk__16 ) @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl236,plain,
( ( ~ ( diff_closed @ sk__14 )
| ~ ( in @ sk__15 @ sk__14 )
| ~ ( in @ sk__16 @ sk__14 ) )
<= ~ ( in @ ( set_difference @ sk__15 @ sk__16 ) @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl82]) ).
thf(zip_derived_cl242,plain,
( ~ ( diff_closed @ sk__14 )
<= ~ ( diff_closed @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl236]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( diff_closed @ X0 )
| ~ ( preboolean @ X0 ) ),
inference(cnf,[status(esa)],[cc1_finsub_1]) ).
thf(zip_derived_cl245,plain,
( ~ ( preboolean @ sk__14 )
<= ~ ( diff_closed @ sk__14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl242,zip_derived_cl3]) ).
thf(zip_derived_cl74_001,plain,
( ( preboolean @ sk__14 )
<= ( preboolean @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf('3',plain,
( ( diff_closed @ sk__14 )
| ~ ( preboolean @ sk__14 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl245,zip_derived_cl74]) ).
thf(zip_derived_cl57,plain,
! [X0: $i,X1: $i] :
( ( in @ ( set_difference @ X0 @ X1 ) @ sk__14 )
| ~ ( in @ X1 @ sk__14 )
| ~ ( in @ X0 @ sk__14 )
| ( preboolean @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl75,plain,
( ! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__14 )
| ~ ( in @ X0 @ sk__14 )
| ( in @ ( set_difference @ X0 @ X1 ) @ sk__14 ) )
<= ! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__14 )
| ~ ( in @ X0 @ sk__14 )
| ( in @ ( set_difference @ X0 @ X1 ) @ sk__14 ) ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( diff_closed @ X0 )
| ~ ( in @ ( set_difference @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_finsub_1]) ).
thf(zip_derived_cl307,plain,
( ( ~ ( in @ ( sk__2 @ sk__14 ) @ sk__14 )
| ~ ( in @ ( sk__3 @ sk__14 ) @ sk__14 )
| ( diff_closed @ sk__14 ) )
<= ! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__14 )
| ~ ( in @ X0 @ sk__14 )
| ( in @ ( set_difference @ X0 @ X1 ) @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl75,zip_derived_cl14]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( diff_closed @ X0 )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_finsub_1]) ).
thf(zip_derived_cl310,plain,
( ( ( diff_closed @ sk__14 )
| ~ ( in @ ( sk__3 @ sk__14 ) @ sk__14 ) )
<= ! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__14 )
| ~ ( in @ X0 @ sk__14 )
| ( in @ ( set_difference @ X0 @ X1 ) @ sk__14 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl307,zip_derived_cl12]) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( diff_closed @ X0 )
| ( in @ ( sk__3 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_finsub_1]) ).
thf(zip_derived_cl311,plain,
( ( diff_closed @ sk__14 )
<= ! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__14 )
| ~ ( in @ X0 @ sk__14 )
| ( in @ ( set_difference @ X0 @ X1 ) @ sk__14 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl310,zip_derived_cl13]) ).
thf(cc2_finsub_1,axiom,
! [A: $i] :
( ( ( cup_closed @ A )
& ( diff_closed @ A ) )
=> ( preboolean @ A ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( preboolean @ X0 )
| ~ ( diff_closed @ X0 )
| ~ ( cup_closed @ X0 ) ),
inference(cnf,[status(esa)],[cc2_finsub_1]) ).
thf(zip_derived_cl312,plain,
( ( ( preboolean @ sk__14 )
| ~ ( cup_closed @ sk__14 ) )
<= ! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__14 )
| ~ ( in @ X0 @ sk__14 )
| ( in @ ( set_difference @ X0 @ X1 ) @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl311,zip_derived_cl5]) ).
thf('4',plain,
( ~ ! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__14 )
| ~ ( in @ X0 @ sk__14 )
| ( in @ ( set_difference @ X0 @ X1 ) @ sk__14 ) )
| ( preboolean @ sk__14 )
| ~ ( cup_closed @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl312]) ).
thf('5',plain,
( ! [X0: $i,X1: $i] :
( ( in @ ( set_union2 @ X0 @ X1 ) @ sk__14 )
| ~ ( in @ X1 @ sk__14 )
| ~ ( in @ X0 @ sk__14 ) )
| ( preboolean @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf('6',plain,
( ! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ sk__14 )
| ~ ( in @ X0 @ sk__14 )
| ( in @ ( set_difference @ X0 @ X1 ) @ sk__14 ) )
| ( preboolean @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl57]) ).
thf(zip_derived_cl73,plain,
( ! [X0: $i,X1: $i] :
( ( in @ ( set_union2 @ X0 @ X1 ) @ sk__14 )
| ~ ( in @ X1 @ sk__14 )
| ~ ( in @ X0 @ sk__14 ) )
<= ! [X0: $i,X1: $i] :
( ( in @ ( set_union2 @ X0 @ X1 ) @ sk__14 )
| ~ ( in @ X1 @ sk__14 )
| ~ ( in @ X0 @ sk__14 ) ) ),
inference(split,[status(esa)],[zip_derived_cl56]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ( cup_closed @ X0 )
| ~ ( in @ ( set_union2 @ ( sk_ @ X0 ) @ ( sk__1 @ X0 ) ) @ X0 ) ),
inference(cnf,[status(esa)],[d1_finsub_1]) ).
thf(zip_derived_cl200,plain,
( ( ~ ( in @ ( sk_ @ sk__14 ) @ sk__14 )
| ~ ( in @ ( sk__1 @ sk__14 ) @ sk__14 )
| ( cup_closed @ sk__14 ) )
<= ! [X0: $i,X1: $i] :
( ( in @ ( set_union2 @ X0 @ X1 ) @ sk__14 )
| ~ ( in @ X1 @ sk__14 )
| ~ ( in @ X0 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl10]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ( cup_closed @ X0 )
| ( in @ ( sk_ @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d1_finsub_1]) ).
thf(zip_derived_cl211,plain,
( ( ( cup_closed @ sk__14 )
| ~ ( in @ ( sk__1 @ sk__14 ) @ sk__14 ) )
<= ! [X0: $i,X1: $i] :
( ( in @ ( set_union2 @ X0 @ X1 ) @ sk__14 )
| ~ ( in @ X1 @ sk__14 )
| ~ ( in @ X0 @ sk__14 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl200,zip_derived_cl8]) ).
thf(zip_derived_cl9,plain,
! [X0: $i] :
( ( cup_closed @ X0 )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d1_finsub_1]) ).
thf(zip_derived_cl212,plain,
( ( cup_closed @ sk__14 )
<= ! [X0: $i,X1: $i] :
( ( in @ ( set_union2 @ X0 @ X1 ) @ sk__14 )
| ~ ( in @ X1 @ sk__14 )
| ~ ( in @ X0 @ sk__14 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl211,zip_derived_cl9]) ).
thf(zip_derived_cl164_002,plain,
( ~ ( cup_closed @ sk__14 )
<= ~ ( cup_closed @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl154]) ).
thf('7',plain,
( ( cup_closed @ sk__14 )
| ~ ! [X0: $i,X1: $i] :
( ( in @ ( set_union2 @ X0 @ X1 ) @ sk__14 )
| ~ ( in @ X1 @ sk__14 )
| ~ ( in @ X0 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl212,zip_derived_cl164]) ).
thf(zip_derived_cl58,plain,
( ( in @ sk__15 @ sk__14 )
| ~ ( preboolean @ sk__14 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('8',plain,
( ( in @ sk__15 @ sk__14 )
| ~ ( preboolean @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl58]) ).
thf('9',plain,
( ( in @ ( set_difference @ sk__15 @ sk__16 ) @ sk__14 )
| ~ ( in @ sk__15 @ sk__14 )
| ~ ( diff_closed @ sk__14 )
| ~ ( in @ sk__16 @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl236]) ).
thf('10',plain,
( ~ ( in @ ( set_difference @ sk__15 @ sk__16 ) @ sk__14 )
| ~ ( in @ ( set_union2 @ sk__15 @ sk__16 ) @ sk__14 )
| ~ ( preboolean @ sk__14 ) ),
inference(split,[status(esa)],[zip_derived_cl60]) ).
thf(zip_derived_cl316,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU101+1 : TPTP v9.2.0. Released v3.2.0.
% 0.10/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eXbu1XL36q true
% 0.10/0.31 % Computer : n011.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 16:09:08 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox2/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 FO mode
% 0.16/0.56 % Total configuration time : 435
% 0.16/0.56 % Estimated wc time : 1092
% 0.16/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.88/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.88/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.88/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.88/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.88/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.88/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.88/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.24/0.78 % Solved by fo/fo1_av.sh.
% 1.24/0.78 % done 152 iterations in 0.083s
% 1.24/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.24/0.78 % SZS output start Refutation
% See solution above
% 1.24/0.78
% 1.24/0.78
% 1.24/0.78 % Terminating...
% 1.60/0.88 % Runner terminated.
% 1.65/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------