%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU326+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hDFHTSuFdA true
% Computer : n018.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 04:54:15 PM UTC 2025
% Result : Theorem 0.56s 0.77s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 66 ( 40 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 199 ( 35 ~; 22 |; 8 &; 128 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 29 !; 1 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(complements_of_subsets_type,type,
complements_of_subsets: $i > $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(involutiveness_k7_setfam_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ( ( complements_of_subsets @ A @ ( complements_of_subsets @ A @ B ) )
= B ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i] :
( ( ( complements_of_subsets @ X1 @ ( complements_of_subsets @ X1 @ X0 ) )
= X0 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) ) ),
inference(cnf,[status(esa)],[involutiveness_k7_setfam_1]) ).
thf(t46_setfam_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ~ ( ( B != empty_set )
& ( ( complements_of_subsets @ A @ B )
= empty_set ) ) ) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i] :
( ( ( complements_of_subsets @ X0 @ X1 )
!= empty_set )
| ( X1 = empty_set )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ X0 ) ) ) ),
inference(cnf,[status(esa)],[t46_setfam_1]) ).
thf(zip_derived_cl216,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) )
| ( X0 != empty_set )
| ( ( complements_of_subsets @ X1 @ X0 )
= empty_set )
| ~ ( element @ ( complements_of_subsets @ X1 @ X0 ) @ ( powerset @ ( powerset @ X1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl73]) ).
thf(dt_k7_setfam_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ( element @ ( complements_of_subsets @ A @ B ) @ ( powerset @ ( powerset @ A ) ) ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ( element @ ( complements_of_subsets @ X0 @ X1 ) @ ( powerset @ ( powerset @ X0 ) ) )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ X0 ) ) ) ),
inference(cnf,[status(esa)],[dt_k7_setfam_1]) ).
thf(zip_derived_cl224,plain,
! [X0: $i,X1: $i] :
( ( ( complements_of_subsets @ X1 @ X0 )
= empty_set )
| ( X0 != empty_set )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl216,zip_derived_cl42]) ).
thf(t10_tops_2,conjecture,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ( ~ ( ( B != empty_set )
& ( ( complements_of_subsets @ A @ B )
= empty_set ) )
& ~ ( ( ( complements_of_subsets @ A @ B )
!= empty_set )
& ( B = empty_set ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ( ~ ( ( B != empty_set )
& ( ( complements_of_subsets @ A @ B )
= empty_set ) )
& ~ ( ( ( complements_of_subsets @ A @ B )
!= empty_set )
& ( B = empty_set ) ) ) ),
inference('cnf.neg',[status(esa)],[t10_tops_2]) ).
thf(zip_derived_cl65,plain,
( ( sk__5 != empty_set )
| ( ( complements_of_subsets @ sk__4 @ sk__5 )
!= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68,plain,
( ( ( complements_of_subsets @ sk__4 @ sk__5 )
= empty_set )
| ( sk__5 = empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl73_001,plain,
! [X0: $i,X1: $i] :
( ( ( complements_of_subsets @ X0 @ X1 )
!= empty_set )
| ( X1 = empty_set )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ X0 ) ) ) ),
inference(cnf,[status(esa)],[t46_setfam_1]) ).
thf(zip_derived_cl218,plain,
( ( sk__5 = empty_set )
| ( empty_set != empty_set )
| ( sk__5 = empty_set )
| ~ ( element @ sk__5 @ ( powerset @ ( powerset @ sk__4 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl73]) ).
thf(zip_derived_cl64,plain,
element @ sk__5 @ ( powerset @ ( powerset @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl219,plain,
( ( sk__5 = empty_set )
| ( empty_set != empty_set )
| ( sk__5 = empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl64]) ).
thf(zip_derived_cl220,plain,
sk__5 = empty_set,
inference(simplify,[status(thm)],[zip_derived_cl219]) ).
thf(zip_derived_cl220_002,plain,
sk__5 = empty_set,
inference(simplify,[status(thm)],[zip_derived_cl219]) ).
thf(zip_derived_cl222,plain,
( ( empty_set != empty_set )
| ( ( complements_of_subsets @ sk__4 @ empty_set )
!= empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl220,zip_derived_cl220]) ).
thf(zip_derived_cl223,plain,
( ( complements_of_subsets @ sk__4 @ empty_set )
!= empty_set ),
inference(simplify,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl232,plain,
( ~ ( element @ empty_set @ ( powerset @ ( powerset @ sk__4 ) ) )
| ( empty_set != empty_set )
| ( empty_set != empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl224,zip_derived_cl223]) ).
thf(zip_derived_cl233,plain,
~ ( element @ empty_set @ ( powerset @ ( powerset @ sk__4 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl232]) ).
thf(rc2_subset_1,axiom,
! [A: $i] :
? [B: $i] :
( ( empty @ B )
& ( element @ B @ ( powerset @ A ) ) ) ).
thf(zip_derived_cl61,plain,
! [X0: $i] : ( element @ ( sk__3 @ X0 ) @ ( powerset @ X0 ) ),
inference(cnf,[status(esa)],[rc2_subset_1]) ).
thf(zip_derived_cl62,plain,
! [X0: $i] : ( empty @ ( sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[rc2_subset_1]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl76,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl211,plain,
! [X0: $i] :
( ( sk__3 @ X0 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl76]) ).
thf(zip_derived_cl234,plain,
! [X0: $i] : ( element @ empty_set @ ( powerset @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl211]) ).
thf(zip_derived_cl235,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl233,zip_derived_cl234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU326+1 : TPTP v9.2.0. Released v3.3.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.hDFHTSuFdA true
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:00:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % Solved by fo/fo6_bce.sh.
% 0.56/0.77 % BCE start: 79
% 0.56/0.77 % BCE eliminated: 49
% 0.56/0.77 % PE start: 30
% 0.56/0.77 logic: eq
% 0.56/0.77 % PE eliminated: 2
% 0.56/0.77 % done 31 iterations in 0.023s
% 0.56/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.77 % SZS output start Refutation
% See solution above
% 0.56/0.77
% 0.56/0.77
% 0.56/0.77 % Terminating...
% 0.58/0.85 % Runner terminated.
% 0.58/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------