%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU113+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.Q2mIjQHFM8 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 04:53:27 PM UTC 2025
% Result : Theorem 0.63s 0.89s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 8 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 194 ( 21 ~; 18 |; 4 &; 144 @)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 0 ^; 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(cup_closed_type,type,
cup_closed: $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(finite_type,type,
finite: $i > $o ).
thf(finite_subsets_type,type,
finite_subsets: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(diff_closed_type,type,
diff_closed: $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(preboolean_type,type,
preboolean: $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(t26_finsub_1,conjecture,
! [A: $i] : ( subset @ ( finite_subsets @ A ) @ ( powerset @ A ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] : ( subset @ ( finite_subsets @ A ) @ ( powerset @ A ) ),
inference('cnf.neg',[status(esa)],[t26_finsub_1]) ).
thf(zip_derived_cl59,plain,
~ ( subset @ ( finite_subsets @ sk__12 ) @ ( powerset @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl323,plain,
~ ( in @ ( sk_ @ ( powerset @ sk__12 ) @ ( finite_subsets @ sk__12 ) ) @ ( powerset @ sk__12 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl59]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl59_001,plain,
~ ( subset @ ( finite_subsets @ sk__12 ) @ ( powerset @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl328,plain,
in @ ( sk_ @ ( powerset @ sk__12 ) @ ( finite_subsets @ sk__12 ) ) @ ( finite_subsets @ sk__12 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl59]) ).
thf(d5_finsub_1,axiom,
! [A: $i,B: $i] :
( ( preboolean @ B )
=> ( ( B
= ( finite_subsets @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( ( subset @ C @ A )
& ( finite @ C ) ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( finite_subsets @ X0 ) )
| ( subset @ X2 @ X0 )
| ~ ( in @ X2 @ X1 )
| ~ ( preboolean @ X1 ) ),
inference(cnf,[status(esa)],[d5_finsub_1]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl343,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( preboolean @ X0 )
| ~ ( in @ X2 @ X0 )
| ( X0
!= ( finite_subsets @ X1 ) )
| ( element @ X2 @ ( powerset @ X1 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl13,zip_derived_cl62]) ).
thf(zip_derived_cl514,plain,
! [X0: $i] :
( ( element @ ( sk_ @ ( powerset @ sk__12 ) @ ( finite_subsets @ sk__12 ) ) @ ( powerset @ X0 ) )
| ( ( finite_subsets @ sk__12 )
!= ( finite_subsets @ X0 ) )
| ~ ( preboolean @ ( finite_subsets @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl328,zip_derived_cl343]) ).
thf(dt_k5_finsub_1,axiom,
! [A: $i] : ( preboolean @ ( finite_subsets @ A ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] : ( preboolean @ ( finite_subsets @ X0 ) ),
inference(cnf,[status(esa)],[dt_k5_finsub_1]) ).
thf(zip_derived_cl517,plain,
! [X0: $i] :
( ( element @ ( sk_ @ ( powerset @ sk__12 ) @ ( finite_subsets @ sk__12 ) ) @ ( powerset @ X0 ) )
| ( ( finite_subsets @ sk__12 )
!= ( finite_subsets @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl514,zip_derived_cl16]) ).
thf(zip_derived_cl648,plain,
! [X0: $i] :
( ( empty @ ( powerset @ X0 ) )
| ( in @ ( sk_ @ ( powerset @ sk__12 ) @ ( finite_subsets @ sk__12 ) ) @ ( powerset @ X0 ) )
| ( ( finite_subsets @ sk__12 )
!= ( finite_subsets @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl60,zip_derived_cl517]) ).
thf(fc1_finsub_1,axiom,
! [A: $i] :
( ( preboolean @ ( powerset @ A ) )
& ( diff_closed @ ( powerset @ A ) )
& ( cup_closed @ ( powerset @ A ) )
& ~ ( empty @ ( powerset @ A ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
~ ( empty @ ( powerset @ X0 ) ),
inference(cnf,[status(esa)],[fc1_finsub_1]) ).
thf(zip_derived_cl650,plain,
! [X0: $i] :
( ( in @ ( sk_ @ ( powerset @ sk__12 ) @ ( finite_subsets @ sk__12 ) ) @ ( powerset @ X0 ) )
| ( ( finite_subsets @ sk__12 )
!= ( finite_subsets @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl648,zip_derived_cl18]) ).
thf(zip_derived_cl693,plain,
( ( finite_subsets @ sk__12 )
!= ( finite_subsets @ sk__12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl323,zip_derived_cl650]) ).
thf(zip_derived_cl696,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl693]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU113+1 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Q2mIjQHFM8 true
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:08:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.56/0.66 % Total configuration time : 435
% 0.56/0.66 % Estimated wc time : 1092
% 0.56/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.62/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.62/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.63/0.89 % Solved by fo/fo3_bce.sh.
% 0.63/0.89 % BCE start: 68
% 0.63/0.89 % BCE eliminated: 8
% 0.63/0.89 % PE start: 60
% 0.63/0.89 logic: eq
% 0.63/0.89 % PE eliminated: -17
% 0.63/0.89 % done 165 iterations in 0.093s
% 0.63/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.63/0.89 % SZS output start Refutation
% See solution above
% 0.63/0.89
% 0.63/0.89
% 0.63/0.90 % Terminating...
% 0.66/0.98 % Runner terminated.
% 0.66/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------