TSTP Solution File: SET788+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET788+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3njWc6uy1g 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 16:16:01 EDT 2023
% Result : Theorem 0.22s 0.78s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 51 ( 8 unt; 7 typ; 0 def)
% Number of atoms : 105 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 367 ( 39 ~; 49 |; 0 &; 267 @)
% ( 9 <=>; 3 =>; 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 : 7 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 69 ( 0 ^; 69 !; 0 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_member_of_type,type,
a_member_of: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(equalish_type,type,
equalish: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(prove_this,conjecture,
( ! [X: $i,Y: $i] :
( ( equalish @ X @ Y )
<=> ! [Z: $i] :
( ( a_member_of @ Z @ X )
<=> ( a_member_of @ Z @ Y ) ) )
=> ! [X: $i,Y: $i] :
( ( equalish @ X @ Y )
<=> ( equalish @ Y @ X ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_0: $i > $i > $i > $o ).
thf(zf_stmt_1,axiom,
! [Z: $i,Y: $i,X: $i] :
( ( zip_tseitin_0 @ Z @ Y @ X )
<=> ( ( a_member_of @ Z @ X )
<=> ( a_member_of @ Z @ Y ) ) ) ).
thf(zf_stmt_2,conjecture,
( ! [X: $i,Y: $i] :
( ( equalish @ X @ Y )
<=> ! [Z: $i] : ( zip_tseitin_0 @ Z @ Y @ X ) )
=> ! [X: $i,Y: $i] :
( ( equalish @ X @ Y )
<=> ( equalish @ Y @ X ) ) ) ).
thf(zf_stmt_3,negated_conjecture,
~ ( ! [X: $i,Y: $i] :
( ( equalish @ X @ Y )
<=> ! [Z: $i] : ( zip_tseitin_0 @ Z @ Y @ X ) )
=> ! [X: $i,Y: $i] :
( ( equalish @ X @ Y )
<=> ( equalish @ Y @ X ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl7,plain,
( ( equalish @ sk__1 @ sk_ )
| ( equalish @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X2: $i,X3: $i] :
( ( zip_tseitin_0 @ X2 @ X3 @ X0 )
| ~ ( equalish @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( a_member_of @ X0 @ X1 )
| ( a_member_of @ X0 @ X2 )
| ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( equalish @ X0 @ X2 )
| ( a_member_of @ X1 @ X0 )
| ~ ( a_member_of @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( equalish @ sk_ @ sk__1 )
| ~ ( a_member_of @ X0 @ sk_ )
| ( a_member_of @ X0 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl12]) ).
thf(zip_derived_cl5_001,plain,
! [X0: $i,X2: $i,X3: $i] :
( ( zip_tseitin_0 @ X2 @ X3 @ X0 )
| ~ ( equalish @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( a_member_of @ X0 @ X1 )
| ( a_member_of @ X0 @ X2 )
| ~ ( zip_tseitin_0 @ X0 @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( equalish @ X2 @ X0 )
| ( a_member_of @ X1 @ X0 )
| ~ ( a_member_of @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( a_member_of @ X0 @ sk__1 )
| ~ ( a_member_of @ X0 @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl18,zip_derived_cl13]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ( a_member_of @ X0 @ X1 )
| ( a_member_of @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( equalish @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ ( sk__2 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( a_member_of @ ( sk__2 @ X0 @ X1 ) @ X1 )
| ( a_member_of @ ( sk__2 @ X0 @ X1 ) @ X0 )
| ( equalish @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl4]) ).
thf(zip_derived_cl7_002,plain,
( ( equalish @ sk__1 @ sk_ )
| ( equalish @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl13_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( equalish @ X2 @ X0 )
| ( a_member_of @ X1 @ X0 )
| ~ ( a_member_of @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ( equalish @ sk_ @ sk__1 )
| ~ ( a_member_of @ X0 @ sk__1 )
| ( a_member_of @ X0 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl13]) ).
thf(zip_derived_cl12_004,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( equalish @ X0 @ X2 )
| ( a_member_of @ X1 @ X0 )
| ~ ( a_member_of @ X1 @ X2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ( a_member_of @ X0 @ sk_ )
| ~ ( a_member_of @ X0 @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl19,zip_derived_cl12]) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ( equalish @ X0 @ sk__1 )
| ( a_member_of @ ( sk__2 @ sk__1 @ X0 ) @ X0 )
| ( a_member_of @ ( sk__2 @ sk__1 @ X0 ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl20]) ).
thf(zip_derived_cl90,plain,
( ( a_member_of @ ( sk__2 @ sk__1 @ sk_ ) @ sk_ )
| ( equalish @ sk_ @ sk__1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl6,plain,
( ~ ( equalish @ sk__1 @ sk_ )
| ~ ( equalish @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl15_005,plain,
! [X0: $i,X1: $i] :
( ( a_member_of @ ( sk__2 @ X0 @ X1 ) @ X1 )
| ( a_member_of @ ( sk__2 @ X0 @ X1 ) @ X0 )
| ( equalish @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl4]) ).
thf(zip_derived_cl20_006,plain,
! [X0: $i] :
( ( a_member_of @ X0 @ sk_ )
| ~ ( a_member_of @ X0 @ sk__1 ) ),
inference(clc,[status(thm)],[zip_derived_cl19,zip_derived_cl12]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ( equalish @ sk__1 @ X0 )
| ( a_member_of @ ( sk__2 @ X0 @ sk__1 ) @ X0 )
| ( a_member_of @ ( sk__2 @ X0 @ sk__1 ) @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl20]) ).
thf(zip_derived_cl61,plain,
( ( a_member_of @ ( sk__2 @ sk_ @ sk__1 ) @ sk_ )
| ( equalish @ sk__1 @ sk_ ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl22_007,plain,
! [X0: $i] :
( ( a_member_of @ X0 @ sk__1 )
| ~ ( a_member_of @ X0 @ sk_ ) ),
inference(clc,[status(thm)],[zip_derived_cl18,zip_derived_cl13]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 )
| ~ ( a_member_of @ X0 @ X1 )
| ~ ( a_member_of @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4_008,plain,
! [X0: $i,X1: $i] :
( ( equalish @ X0 @ X1 )
| ~ ( zip_tseitin_0 @ ( sk__2 @ X1 @ X0 ) @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( a_member_of @ ( sk__2 @ X0 @ X1 ) @ X1 )
| ~ ( a_member_of @ ( sk__2 @ X0 @ X1 ) @ X0 )
| ( equalish @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
( ~ ( a_member_of @ ( sk__2 @ X0 @ sk__1 ) @ sk_ )
| ( equalish @ sk__1 @ X0 )
| ~ ( a_member_of @ ( sk__2 @ X0 @ sk__1 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl14]) ).
thf(zip_derived_cl28,plain,
( ~ ( a_member_of @ ( sk__2 @ sk_ @ sk__1 ) @ sk_ )
| ( equalish @ sk__1 @ sk_ ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl78,plain,
equalish @ sk__1 @ sk_,
inference(clc,[status(thm)],[zip_derived_cl61,zip_derived_cl28]) ).
thf(zip_derived_cl79,plain,
~ ( equalish @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl78]) ).
thf(zip_derived_cl91,plain,
a_member_of @ ( sk__2 @ sk__1 @ sk_ ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl79]) ).
thf(zip_derived_cl14_009,plain,
! [X0: $i,X1: $i] :
( ~ ( a_member_of @ ( sk__2 @ X0 @ X1 ) @ X1 )
| ~ ( a_member_of @ ( sk__2 @ X0 @ X1 ) @ X0 )
| ( equalish @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).
thf(zip_derived_cl99,plain,
( ( equalish @ sk_ @ sk__1 )
| ~ ( a_member_of @ ( sk__2 @ sk__1 @ sk_ ) @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl14]) ).
thf(zip_derived_cl79_010,plain,
~ ( equalish @ sk_ @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl78]) ).
thf(zip_derived_cl100,plain,
~ ( a_member_of @ ( sk__2 @ sk__1 @ sk_ ) @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl79]) ).
thf(zip_derived_cl103,plain,
~ ( a_member_of @ ( sk__2 @ sk__1 @ sk_ ) @ sk_ ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl100]) ).
thf(zip_derived_cl91_011,plain,
a_member_of @ ( sk__2 @ sk__1 @ sk_ ) @ sk_,
inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl79]) ).
thf(zip_derived_cl105,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET788+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3njWc6uy1g 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 15:45:53 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
% 0.13/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.78 % Solved by fo/fo3_bce.sh.
% 0.22/0.78 % BCE start: 8
% 0.22/0.78 % BCE eliminated: 0
% 0.22/0.78 % PE start: 8
% 0.22/0.78 logic: neq
% 0.22/0.78 % PE eliminated: 2
% 0.22/0.78 % done 29 iterations in 0.016s
% 0.22/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.78 % SZS output start Refutation
% See solution above
% 0.22/0.79
% 0.22/0.79
% 0.22/0.79 % Terminating...
% 1.31/0.86 % Runner terminated.
% 1.75/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------