%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET956+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NwAvn6v0uv true
% Computer : n004.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 04:53:14 PM UTC 2025
% Result : Theorem 0.50s 0.75s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 3 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 154 ( 13 ~; 11 |; 6 &; 118 @)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 35 ( 0 ^; 35 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__4_type,type,
sk__4: $i > $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i > $i > $i ).
thf(cartesian_product2_type,type,
cartesian_product2: $i > $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(t109_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( subset @ A @ ( cartesian_product2 @ B @ C ) )
& ! [E: $i,F: $i] :
( ( in @ ( ordered_pair @ E @ F ) @ A )
=> ( in @ ( ordered_pair @ E @ F ) @ D ) ) )
=> ( subset @ A @ D ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( subset @ A @ ( cartesian_product2 @ B @ C ) )
& ! [E: $i,F: $i] :
( ( in @ ( ordered_pair @ E @ F ) @ A )
=> ( in @ ( ordered_pair @ E @ F ) @ D ) ) )
=> ( subset @ A @ D ) ),
inference('cnf.neg',[status(esa)],[t109_zfmisc_1]) ).
thf(zip_derived_cl13,plain,
~ ( subset @ sk__5 @ sk__8 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl15,plain,
subset @ sk__5 @ ( cartesian_product2 @ sk__6 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t103_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
~ ( ( subset @ A @ ( cartesian_product2 @ B @ C ) )
& ( in @ D @ A )
& ! [E: $i,F: $i] :
~ ( ( in @ E @ B )
& ( in @ F @ C )
& ( D
= ( ordered_pair @ E @ F ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( subset @ X0 @ ( cartesian_product2 @ X1 @ X2 ) )
| ( X3
= ( ordered_pair @ ( sk__3 @ X3 @ X2 @ X1 ) @ ( sk__4 @ X3 @ X2 @ X1 ) ) )
| ~ ( in @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[t103_zfmisc_1]) ).
thf(zip_derived_cl129,plain,
! [X0: $i] :
( ( X0
= ( ordered_pair @ ( sk__3 @ X0 @ sk__7 @ sk__6 ) @ ( sk__4 @ X0 @ sk__7 @ sk__6 ) ) )
| ~ ( in @ X0 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl11]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__8 )
| ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl139,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__5 )
| ( in @ X0 @ sk__8 )
| ~ ( in @ X0 @ sk__5 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl129,zip_derived_cl14]) ).
thf(zip_derived_cl142,plain,
! [X0: $i] :
( ( in @ X0 @ sk__8 )
| ~ ( in @ X0 @ sk__5 ) ),
inference(simplify,[status(thm)],[zip_derived_cl139]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl151,plain,
! [X0: $i] :
( ~ ( in @ ( sk_ @ sk__8 @ X0 ) @ sk__5 )
| ( subset @ X0 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl3]) ).
thf(zip_derived_cl161,plain,
( ( subset @ sk__5 @ sk__8 )
| ( subset @ sk__5 @ sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl151]) ).
thf(zip_derived_cl162,plain,
subset @ sk__5 @ sk__8,
inference(simplify,[status(thm)],[zip_derived_cl161]) ).
thf(zip_derived_cl165,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET956+1 : TPTP v9.2.0. Released v3.2.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.NwAvn6v0uv true
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 13:09:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.47/0.60 % Total configuration time : 435
% 0.47/0.60 % Estimated wc time : 1092
% 0.47/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.75 % Solved by fo/fo6_bce.sh.
% 0.50/0.75 % BCE start: 16
% 0.50/0.75 % BCE eliminated: 0
% 0.50/0.75 % PE start: 16
% 0.50/0.75 logic: eq
% 0.50/0.75 % PE eliminated: 1
% 0.50/0.75 % done 47 iterations in 0.040s
% 0.50/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.50/0.75 % SZS output start Refutation
% See solution above
% 0.50/0.75
% 0.50/0.75
% 0.50/0.75 % Terminating...
% 0.52/0.82 % Runner terminated.
% 1.61/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------