%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET002+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.nPnEutzq8P 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 04:51:03 PM UTC 2025
% Result : Theorem 0.59s 0.78s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 7 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 6 ~; 2 |; 0 &; 20 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(union_type,type,
union: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(subset_union,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
=> ( ( union @ B @ C )
= C ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( ( union @ X1 @ X0 )
= X0 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[subset_union]) ).
thf(prove_idempotency_of_union,conjecture,
! [B: $i] :
( ( union @ B @ B )
= B ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( union @ B @ B )
= B ),
inference('cnf.neg',[status(esa)],[prove_idempotency_of_union]) ).
thf(zip_derived_cl16,plain,
( ( union @ sk__2 @ sk__2 )
!= sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl81,plain,
( ~ ( subset @ sk__2 @ sk__2 )
| ( sk__2 != sk__2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl16]) ).
thf(reflexivity_of_subset,axiom,
! [B: $i] : ( subset @ B @ B ) ).
thf(zip_derived_cl11,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_subset]) ).
thf(zip_derived_cl82,plain,
sk__2 != sk__2,
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl11]) ).
thf(zip_derived_cl83,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET002+3 : TPTP v9.2.0. Released v2.2.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nPnEutzq8P true
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 13:19:23 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
% 0.13/0.35 % Running in FO mode
% 0.58/0.67 % Total configuration time : 435
% 0.58/0.67 % Estimated wc time : 1092
% 0.58/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.78 % Solved by fo/fo6_bce.sh.
% 0.59/0.78 % BCE start: 17
% 0.59/0.78 % BCE eliminated: 0
% 0.59/0.78 % PE start: 17
% 0.59/0.78 logic: eq
% 0.59/0.78 % PE eliminated: 0
% 0.59/0.78 % done 2 iterations in 0.009s
% 0.59/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.78 % SZS output start Refutation
% See solution above
% 0.59/0.78
% 0.59/0.78
% 0.59/0.79 % Terminating...
% 0.67/0.89 % Runner terminated.
% 0.67/0.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------