TSTP Solution File: SET797+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET797+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0yTjlXqE8o true
% Computer : n008.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 Aug 31 16:16:04 EDT 2023
% Result : Theorem 1.36s 0.85s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 28 ( 5 unt; 10 typ; 0 def)
% Number of atoms : 43 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 151 ( 11 ~; 11 |; 4 &; 115 @)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 34 ( 0 ^; 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__22_type,type,
sk__22: $i ).
thf(order_type,type,
order: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i > $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(upper_bound_type,type,
upper_bound: $i > $i > $i > $o ).
thf(sk__21_type,type,
sk__21: $i ).
thf(apply_type,type,
apply: $i > $i > $i > $o ).
thf(sk__23_type,type,
sk__23: $i ).
thf(sk__19_type,type,
sk__19: $i ).
thf(thIV9,conjecture,
! [R: $i,E: $i] :
( ( order @ R @ E )
=> ! [X: $i,Y: $i] :
( ( ( subset @ X @ E )
& ( subset @ Y @ E )
& ( subset @ X @ Y ) )
=> ! [M: $i] :
( ( upper_bound @ M @ R @ Y )
=> ( upper_bound @ M @ R @ X ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [R: $i,E: $i] :
( ( order @ R @ E )
=> ! [X: $i,Y: $i] :
( ( ( subset @ X @ E )
& ( subset @ Y @ E )
& ( subset @ X @ Y ) )
=> ! [M: $i] :
( ( upper_bound @ M @ R @ Y )
=> ( upper_bound @ M @ R @ X ) ) ) ),
inference('cnf.neg',[status(esa)],[thIV9]) ).
thf(zip_derived_cl107,plain,
~ ( upper_bound @ sk__23 @ sk__19 @ sk__21 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(upper_bound,axiom,
! [R: $i,E: $i,M: $i] :
( ( upper_bound @ M @ R @ E )
<=> ! [X: $i] :
( ( member @ X @ E )
=> ( apply @ R @ X @ M ) ) ) ).
thf(zip_derived_cl68,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( upper_bound @ X0 @ X1 @ X2 )
| ~ ( apply @ X1 @ ( sk__11 @ X0 @ X2 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[upper_bound]) ).
thf(zip_derived_cl108,plain,
upper_bound @ sk__23 @ sk__19 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X0 @ X1 )
| ( apply @ X2 @ X0 @ X3 )
| ~ ( upper_bound @ X3 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[upper_bound]) ).
thf(zip_derived_cl811,plain,
! [X0: $i] :
( ( apply @ sk__19 @ X0 @ sk__23 )
| ~ ( member @ X0 @ sk__22 ) ),
inference('sup-',[status(thm)],[zip_derived_cl108,zip_derived_cl67]) ).
thf(zip_derived_cl831,plain,
! [X0: $i] :
( ( upper_bound @ sk__23 @ sk__19 @ X0 )
| ~ ( member @ ( sk__11 @ sk__23 @ X0 @ sk__19 ) @ sk__22 ) ),
inference('sup+',[status(thm)],[zip_derived_cl68,zip_derived_cl811]) ).
thf(zip_derived_cl106,plain,
subset @ sk__21 @ sk__22,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(subset,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl742,plain,
! [X0: $i] :
( ( member @ X0 @ sk__22 )
| ~ ( member @ X0 @ sk__21 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl106,zip_derived_cl0]) ).
thf(zip_derived_cl834,plain,
! [X0: $i] :
( ( upper_bound @ sk__23 @ sk__19 @ X0 )
| ~ ( member @ ( sk__11 @ sk__23 @ X0 @ sk__19 ) @ sk__21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl831,zip_derived_cl742]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( upper_bound @ X0 @ X1 @ X2 )
| ( member @ ( sk__11 @ X0 @ X2 @ X1 ) @ X2 ) ),
inference(cnf,[status(esa)],[upper_bound]) ).
thf(zip_derived_cl988,plain,
( ( upper_bound @ sk__23 @ sk__19 @ sk__21 )
| ( upper_bound @ sk__23 @ sk__19 @ sk__21 ) ),
inference('sup+',[status(thm)],[zip_derived_cl834,zip_derived_cl69]) ).
thf(zip_derived_cl990,plain,
upper_bound @ sk__23 @ sk__19 @ sk__21,
inference(simplify,[status(thm)],[zip_derived_cl988]) ).
thf(zip_derived_cl996,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl107,zip_derived_cl990]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET797+4 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0yTjlXqE8o true
% 0.13/0.34 % Computer : n008.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 : Sat Aug 26 09:38:33 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.85 % Solved by fo/fo3_bce.sh.
% 1.36/0.85 % BCE start: 109
% 1.36/0.85 % BCE eliminated: 0
% 1.36/0.85 % PE start: 109
% 1.36/0.85 logic: eq
% 1.36/0.85 % PE eliminated: 17
% 1.36/0.85 % done 84 iterations in 0.080s
% 1.36/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/0.85 % SZS output start Refutation
% See solution above
% 1.36/0.85
% 1.36/0.85
% 1.36/0.85 % Terminating...
% 1.57/0.95 % Runner terminated.
% 1.57/0.96 % Zipperpin 1.5 exiting
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