%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET585+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CkY4ZqVIdD true
% Computer : n013.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 04:52:18 PM UTC 2025
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 17 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 67 ( 6 ~; 3 |; 1 &; 56 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 0 ^; 23 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(union_type,type,
union: $i > $i > $i ).
thf(intersection_is_subset,axiom,
! [B: $i,C: $i] : ( subset @ ( intersection @ B @ C ) @ B ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] : ( subset @ ( intersection @ X0 @ X1 ) @ X0 ),
inference(cnf,[status(esa)],[intersection_is_subset]) ).
thf(transitivity_of_subset,axiom,
! [B: $i,C: $i,D: $i] :
( ( ( subset @ B @ C )
& ( subset @ C @ D ) )
=> ( subset @ B @ D ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X2 )
| ( subset @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity_of_subset]) ).
thf(zip_derived_cl98,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X2 )
| ( subset @ ( intersection @ X0 @ X1 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(prove_intersection_subset_of_union,conjecture,
! [B: $i,C: $i,D: $i] : ( subset @ ( intersection @ B @ C ) @ ( union @ B @ D ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i,D: $i] : ( subset @ ( intersection @ B @ C ) @ ( union @ B @ D ) ),
inference('cnf.neg',[status(esa)],[prove_intersection_subset_of_union]) ).
thf(zip_derived_cl19,plain,
~ ( subset @ ( intersection @ sk__2 @ sk__3 ) @ ( union @ sk__2 @ sk__4 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl148,plain,
~ ( subset @ sk__2 @ ( union @ sk__2 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl98,zip_derived_cl19]) ).
thf(subset_of_union,axiom,
! [B: $i,C: $i] : ( subset @ B @ ( union @ B @ C ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] : ( subset @ X0 @ ( union @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[subset_of_union]) ).
thf(zip_derived_cl151,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET585+3 : TPTP v9.2.0. Released v2.2.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CkY4ZqVIdD true
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 13:06:38 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.34 % Python version: Python 3.6.8
% 0.14/0.34 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74 % /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
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % Solved by fo/fo6_bce.sh.
% 0.56/0.75 % BCE start: 20
% 0.56/0.75 % BCE eliminated: 0
% 0.56/0.75 % PE start: 20
% 0.56/0.75 logic: eq
% 0.56/0.75 % PE eliminated: 0
% 0.56/0.75 % done 29 iterations in 0.033s
% 0.56/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.75 % SZS output start Refutation
% See solution above
% 0.56/0.75
% 0.56/0.75
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % Terminating...
% 0.61/0.83 % Runner terminated.
% 0.61/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------