TSTP Solution File: SET612^3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET612^3 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dX1dTvTqrY true
% Computer : n003.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 16:15:00 EDT 2023
% Result : Theorem 0.17s 0.75s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of formulae : 29 ( 15 unt; 7 typ; 0 def)
% Number of atoms : 44 ( 10 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 107 ( 19 ~; 15 |; 12 &; 59 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 45 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 38 ( 27 ^; 11 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__6_type,type,
sk__6: $i ).
thf(intersection_type,type,
intersection: ( $i > $o ) > ( $i > $o ) > $i > $o ).
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(setminus_type,type,
setminus: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(setminus,axiom,
( setminus
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ~ ( Y @ U ) ) ) ) ).
thf('0',plain,
( setminus
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ~ ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[setminus]) ).
thf('1',plain,
( setminus
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
& ~ ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(intersection,axiom,
( intersection
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ) ).
thf('2',plain,
( intersection
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
& ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[intersection]) ).
thf('3',plain,
( intersection
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
& ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(union,axiom,
( union
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('4',plain,
( union
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[union]) ).
thf('5',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,Z: $i > $o] :
( ( setminus @ X @ ( union @ Y @ Z ) )
= ( intersection @ ( setminus @ X @ Y ) @ ( setminus @ X @ Z ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $o,X6: $i > $o,X8: $i > $o,V_2: $i] :
( ( ( X4 @ V_2 )
& ~ ( ( X6 @ V_2 )
| ( X8 @ V_2 ) ) )
<=> ( ~ ( X6 @ V_2 )
& ~ ( X8 @ V_2 )
& ( X4 @ V_2 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $o,X6: $i > $o,X8: $i > $o,V_2: $i] :
( ( ( X4 @ V_2 )
& ~ ( ( X6 @ V_2 )
| ( X8 @ V_2 ) ) )
<=> ( ~ ( X6 @ V_2 )
& ~ ( X8 @ V_2 )
& ( X4 @ V_2 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
( ~ ( sk__5 @ sk__6 )
| ~ ( sk__5 @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl16,plain,
~ ( sk__5 @ sk__6 ),
inference(simplify,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
( ~ ( sk__3 @ sk__6 )
| ( sk__5 @ sk__6 )
| ( sk__4 @ sk__6 )
| ( sk__4 @ sk__6 )
| ( sk__5 @ sk__6 )
| ~ ( sk__3 @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl19,plain,
( ( sk__4 @ sk__6 )
| ( sk__5 @ sk__6 )
| ~ ( sk__3 @ sk__6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl2,plain,
( ~ ( sk__4 @ sk__6 )
| ~ ( sk__4 @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl15,plain,
~ ( sk__4 @ sk__6 ),
inference(simplify,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
( ( sk__3 @ sk__6 )
| ( sk__3 @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl10,plain,
sk__3 @ sk__6,
inference(simplify,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl20,plain,
sk__5 @ sk__6,
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl15,zip_derived_cl10]) ).
thf(zip_derived_cl21,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET612^3 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dX1dTvTqrY true
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Aug 26 16:28:09 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in HO mode
% 0.17/0.62 % Total configuration time : 828
% 0.17/0.62 % Estimated wc time : 1656
% 0.17/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.17/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.17/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.17/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.17/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.17/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.17/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.17/0.72 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.17/0.72 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.17/0.75 % Solved by lams/40_c.s.sh.
% 0.17/0.75 % done 9 iterations in 0.014s
% 0.17/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.17/0.75 % SZS output start Refutation
% See solution above
% 0.17/0.75
% 0.17/0.75
% 0.17/0.75 % Terminating...
% 1.38/0.83 % Runner terminated.
% 1.38/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------