TSTP Solution File: SET009+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET009+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.L7kUvg9scw true
% Computer : n012.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 16:11:37 EDT 2023
% Result : Theorem 0.21s 0.78s
% Output : Refutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 39 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 197 ( 17 ~; 10 |; 1 &; 164 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 0 ^; 29 !; 0 ?; 29 :)
% Comments :
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thf(difference_type,type,
difference: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(difference_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( difference @ B @ C ) )
<=> ( ( member @ D @ B )
& ~ ( member @ D @ C ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( difference @ X1 @ X2 ) )
| ( member @ X0 @ X2 )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(subset_defn,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(prove_subset_difference,conjecture,
! [B: $i,C: $i,D: $i] :
( ( subset @ B @ C )
=> ( subset @ ( difference @ D @ C ) @ ( difference @ D @ B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i,D: $i] :
( ( subset @ B @ C )
=> ( subset @ ( difference @ D @ C ) @ ( difference @ D @ B ) ) ),
inference('cnf.neg',[status(esa)],[prove_subset_difference]) ).
thf(zip_derived_cl7,plain,
~ ( subset @ ( difference @ sk__3 @ sk__2 ) @ ( difference @ sk__3 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
~ ( member @ ( sk_ @ ( difference @ sk__3 @ sk__1 ) @ ( difference @ sk__3 @ sk__2 ) ) @ ( difference @ sk__3 @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).
thf(zip_derived_cl20,plain,
( ~ ( member @ ( sk_ @ ( difference @ sk__3 @ sk__1 ) @ ( difference @ sk__3 @ sk__2 ) ) @ sk__3 )
| ( member @ ( sk_ @ ( difference @ sk__3 @ sk__1 ) @ ( difference @ sk__3 @ sk__2 ) ) @ sk__1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl10]) ).
thf(zip_derived_cl8,plain,
subset @ sk__1 @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( member @ X0 @ sk__2 )
| ~ ( member @ X0 @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl7_001,plain,
~ ( subset @ ( difference @ sk__3 @ sk__2 ) @ ( difference @ sk__3 @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
member @ ( sk_ @ ( difference @ sk__3 @ sk__1 ) @ ( difference @ sk__3 @ sk__2 ) ) @ ( difference @ sk__3 @ sk__2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl16,plain,
~ ( member @ ( sk_ @ ( difference @ sk__3 @ sk__1 ) @ ( difference @ sk__3 @ sk__2 ) ) @ sk__2 ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl1]) ).
thf(zip_derived_cl19,plain,
~ ( member @ ( sk_ @ ( difference @ sk__3 @ sk__1 ) @ ( difference @ sk__3 @ sk__2 ) ) @ sk__1 ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl16]) ).
thf(zip_derived_cl21,plain,
~ ( member @ ( sk_ @ ( difference @ sk__3 @ sk__1 ) @ ( difference @ sk__3 @ sk__2 ) ) @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl19]) ).
thf(zip_derived_cl12_002,plain,
member @ ( sk_ @ ( difference @ sk__3 @ sk__1 ) @ ( difference @ sk__3 @ sk__2 ) ) @ ( difference @ sk__3 @ sk__2 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl7]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl15,plain,
member @ ( sk_ @ ( difference @ sk__3 @ sk__1 ) @ ( difference @ sk__3 @ sk__2 ) ) @ sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl0]) ).
thf(zip_derived_cl29,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl15]) ).
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET009+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.L7kUvg9scw true
% 0.13/0.35 % Computer : n012.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 16:22:55 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
% 0.20/0.36 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.78 % Solved by fo/fo6_bce.sh.
% 0.21/0.78 % BCE start: 9
% 0.21/0.78 % BCE eliminated: 0
% 0.21/0.78 % PE start: 9
% 0.21/0.78 logic: neq
% 0.21/0.78 % PE eliminated: 1
% 0.21/0.78 % done 11 iterations in 0.012s
% 0.21/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.78 % SZS output start Refutation
% See solution above
% 1.14/0.78
% 1.14/0.78
% 1.14/0.78 % Terminating...
% 1.44/0.87 % Runner terminated.
% 1.44/0.88 % Zipperpin 1.5 exiting
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