TSTP Solution File: SET814+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET814+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.KbB2GXeBQ3 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 Aug 31 16:16:09 EDT 2023
% Result : Theorem 58.41s 8.95s
% Output : Refutation 58.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 33 ( 4 unt; 10 typ; 0 def)
% Number of atoms : 55 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 197 ( 18 ~; 22 |; 3 &; 147 @)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 0 ^; 35 !; 1 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(sum_type,type,
sum: $i > $i ).
thf(strict_well_order_type,type,
strict_well_order: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(member_predicate_type,type,
member_predicate: $i ).
thf(on_type,type,
on: $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(set_type,type,
set: $i > $o ).
thf(thV14,conjecture,
! [A: $i] :
( ( member @ A @ on )
=> ( subset @ ( sum @ A ) @ A ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( member @ A @ on )
=> ( subset @ ( sum @ A ) @ A ) ),
inference('cnf.neg',[status(esa)],[thV14]) ).
thf(zip_derived_cl79,plain,
~ ( subset @ ( sum @ sk__13 ) @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(sum,axiom,
! [X: $i,A: $i] :
( ( member @ X @ ( sum @ A ) )
<=> ? [Y: $i] :
( ( member @ X @ Y )
& ( member @ Y @ A ) ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( member @ X0 @ ( sk__1 @ X1 @ X0 ) )
| ~ ( member @ X0 @ ( sum @ X1 ) ) ),
inference(cnf,[status(esa)],[sum]) ).
thf(subset,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ~ ( member @ X1 @ ( sum @ X0 ) ) ),
inference(cnf,[status(esa)],[sum]) ).
thf(zip_derived_cl78,plain,
member @ sk__13 @ on,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ordinal_number,axiom,
! [A: $i] :
( ( member @ A @ on )
<=> ( ( set @ A )
& ( strict_well_order @ member_predicate @ A )
& ! [X: $i] :
( ( member @ X @ A )
=> ( subset @ X @ A ) ) ) ) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ X1 )
| ( subset @ X0 @ X1 )
| ~ ( member @ X1 @ on ) ),
inference(cnf,[status(esa)],[ordinal_number]) ).
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_cl592,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ on )
| ~ ( member @ X1 @ X0 )
| ~ ( member @ X2 @ X1 )
| ( member @ X2 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl0]) ).
thf(zip_derived_cl599,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ sk__13 )
| ~ ( member @ X1 @ X0 )
| ( member @ X1 @ sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl592]) ).
thf(zip_derived_cl675,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ ( sum @ sk__13 ) )
| ~ ( member @ X1 @ ( sk__1 @ sk__13 @ X0 ) )
| ( member @ X1 @ sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl599]) ).
thf(zip_derived_cl1354,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( sum @ sk__13 ) @ X0 )
| ~ ( member @ X1 @ ( sk__1 @ sk__13 @ ( sk_ @ X0 @ ( sum @ sk__13 ) ) ) )
| ( member @ X1 @ sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl675]) ).
thf(zip_derived_cl2992,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ X0 @ ( sum @ sk__13 ) ) @ ( sum @ sk__13 ) )
| ( subset @ ( sum @ sk__13 ) @ X0 )
| ( member @ ( sk_ @ X0 @ ( sum @ sk__13 ) ) @ sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl1354]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl42771,plain,
! [X0: $i] :
( ( member @ ( sk_ @ X0 @ ( sum @ sk__13 ) ) @ sk__13 )
| ( subset @ ( sum @ sk__13 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2992,zip_derived_cl2]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl43158,plain,
( ( subset @ ( sum @ sk__13 ) @ sk__13 )
| ( subset @ ( sum @ sk__13 ) @ sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl42771,zip_derived_cl1]) ).
thf(zip_derived_cl43168,plain,
subset @ ( sum @ sk__13 ) @ sk__13,
inference(simplify,[status(thm)],[zip_derived_cl43158]) ).
thf(zip_derived_cl43196,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl43168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET814+4 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KbB2GXeBQ3 true
% 0.19/0.35 % Computer : n018.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Sat Aug 26 12:48:00 EDT 2023
% 0.19/0.36 % CPUTime :
% 0.19/0.36 % Running portfolio for 300 s
% 0.19/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.36 % Number of cores: 8
% 0.19/0.36 % Python version: Python 3.6.8
% 0.19/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 58.41/8.95 % Solved by fo/fo6_bce.sh.
% 58.41/8.95 % BCE start: 80
% 58.41/8.95 % BCE eliminated: 0
% 58.41/8.95 % PE start: 80
% 58.41/8.95 logic: eq
% 58.41/8.95 % PE eliminated: 14
% 58.41/8.95 % done 3128 iterations in 8.200s
% 58.41/8.95 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 58.41/8.95 % SZS output start Refutation
% See solution above
% 58.41/8.95
% 58.41/8.95
% 58.41/8.95 % Terminating...
% 58.41/9.00 % Runner terminated.
% 58.41/9.01 % Zipperpin 1.5 exiting
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