TSTP Solution File: SET014^4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET014^4 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OEZv2WqXPQ true
% Computer : n005.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 16:11:42 EDT 2023
% Result : Theorem 1.31s 0.76s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 24 ( 11 unt; 6 typ; 0 def)
% Number of atoms : 29 ( 6 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 75 ( 5 ~; 9 |; 3 &; 46 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 35 ( 15 ^; 20 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__4_type,type,
sk__4: $i > $o ).
thf(union_type,type,
union: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $o ).
thf(subset_type,type,
subset: ( $i > $o ) > ( $i > $o ) > $o ).
thf(subset,axiom,
( subset
= ( ^ [X: $i > $o,Y: $i > $o] :
! [U: $i] :
( ( X @ U )
=> ( Y @ U ) ) ) ) ).
thf('0',plain,
( subset
= ( ^ [X: $i > $o,Y: $i > $o] :
! [U: $i] :
( ( X @ U )
=> ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[subset]) ).
thf('1',plain,
( subset
= ( ^ [V_1: $i > $o,V_2: $i > $o] :
! [X4: $i] :
( ( V_1 @ X4 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(union,axiom,
( union
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('2',plain,
( union
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[union]) ).
thf('3',plain,
( union
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
! [X: $i > $o,Y: $i > $o,A: $i > $o] :
( ( ( subset @ X @ A )
& ( subset @ Y @ A ) )
=> ( subset @ ( union @ X @ Y ) @ A ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $o,X6: $i > $o,X8: $i > $o] :
( ( ! [X10: $i] :
( ( X4 @ X10 )
=> ( X8 @ X10 ) )
& ! [X12: $i] :
( ( X6 @ X12 )
=> ( X8 @ X12 ) ) )
=> ! [X14: $i] :
( ( ( X4 @ X14 )
| ( X6 @ X14 ) )
=> ( X8 @ X14 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $o,X6: $i > $o,X8: $i > $o] :
( ( ! [X10: $i] :
( ( X4 @ X10 )
=> ( X8 @ X10 ) )
& ! [X12: $i] :
( ( X6 @ X12 )
=> ( X8 @ X12 ) ) )
=> ! [X14: $i] :
( ( ( X4 @ X14 )
| ( X6 @ X14 ) )
=> ( X8 @ X14 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( sk__5 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
( ( sk__3 @ sk__6 )
| ( sk__4 @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X1: $i] :
( ( sk__5 @ X1 )
| ~ ( sk__4 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
( ( sk__3 @ sk__6 )
| ( sk__5 @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl2_001,plain,
~ ( sk__5 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
sk__3 @ sk__6,
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ( sk__5 @ X0 )
| ~ ( sk__3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
sk__5 @ sk__6,
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).
thf(zip_derived_cl16,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET014^4 : TPTP v8.1.2. Released v3.6.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OEZv2WqXPQ true
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 10:55:38 EDT 2023
% 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
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.21/0.68 % Total configuration time : 828
% 0.21/0.68 % Estimated wc time : 1656
% 0.21/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.31/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.31/0.76 % Solved by lams/40_c.s.sh.
% 1.31/0.76 % done 8 iterations in 0.010s
% 1.31/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.31/0.76 % SZS output start Refutation
% See solution above
% 1.31/0.76
% 1.31/0.76
% 1.31/0.76 % Terminating...
% 1.74/0.88 % Runner terminated.
% 1.74/0.90 % Zipperpin 1.5 exiting
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