TSTP Solution File: SET067+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET067+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dFHcYSP8TO true
% Computer : n025.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 16:12:22 EDT 2023
% Result : Theorem 1.36s 1.22s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 42 ( 17 unt; 8 typ; 0 def)
% Number of atoms : 60 ( 19 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 225 ( 21 ~; 22 |; 1 &; 178 @)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 0 ^; 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(subclass_type,type,
subclass: $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(universal_class_type,type,
universal_class: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(singleton_set_defn,axiom,
! [X: $i] :
( ( singleton @ X )
= ( unordered_pair @ X @ X ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( singleton @ X0 )
= ( unordered_pair @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[singleton_set_defn]) ).
thf(unordered_pair_defn,axiom,
! [U: $i,X: $i,Y: $i] :
( ( member @ U @ ( unordered_pair @ X @ Y ) )
<=> ( ( member @ U @ universal_class )
& ( ( U = X )
| ( U = Y ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( X1 = X2 )
| ~ ( member @ X1 @ ( unordered_pair @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[unordered_pair_defn]) ).
thf(zip_derived_cl65,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ ( singleton @ X0 ) )
| ( X1 = X0 )
| ( X1 = X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl8]) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl65]) ).
thf(subclass_defn,axiom,
! [X: $i,Y: $i] :
( ( subclass @ X @ Y )
<=> ! [U: $i] :
( ( member @ U @ X )
=> ( member @ U @ Y ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subclass @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subclass_defn]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i] :
( ( ( sk_ @ X1 @ ( singleton @ X0 ) )
= X0 )
| ( subclass @ ( singleton @ X0 ) @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl66,zip_derived_cl2]) ).
thf(pair_contains_other,conjecture,
! [X: $i,Y: $i] : ( subclass @ ( unordered_pair @ X @ X ) @ ( unordered_pair @ X @ Y ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i] : ( subclass @ ( unordered_pair @ X @ X ) @ ( unordered_pair @ X @ Y ) ),
inference('cnf.neg',[status(esa)],[pair_contains_other]) ).
thf(zip_derived_cl14,plain,
~ ( subclass @ ( unordered_pair @ sk__1 @ sk__1 ) @ ( unordered_pair @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12_001,plain,
! [X0: $i] :
( ( singleton @ X0 )
= ( unordered_pair @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[singleton_set_defn]) ).
thf(zip_derived_cl47,plain,
~ ( subclass @ ( singleton @ sk__1 ) @ ( unordered_pair @ sk__1 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl12]) ).
thf(zip_derived_cl2718,plain,
( ( sk_ @ ( unordered_pair @ sk__1 @ sk__2 ) @ ( singleton @ sk__1 ) )
= sk__1 ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl47]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) )
| ( X0 != X1 )
| ~ ( member @ X0 @ universal_class ) ),
inference(cnf,[status(esa)],[unordered_pair_defn]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( subclass @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subclass_defn]) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ ( sk_ @ ( unordered_pair @ X1 @ X0 ) @ X2 ) @ universal_class )
| ( ( sk_ @ ( unordered_pair @ X1 @ X0 ) @ X2 )
!= X1 )
| ( subclass @ X2 @ ( unordered_pair @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1]) ).
thf(zip_derived_cl2732,plain,
( ~ ( member @ sk__1 @ universal_class )
| ( subclass @ ( singleton @ sk__1 ) @ ( unordered_pair @ sk__1 @ sk__2 ) )
| ( ( sk_ @ ( unordered_pair @ sk__1 @ sk__2 ) @ ( singleton @ sk__1 ) )
!= sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2718,zip_derived_cl76]) ).
thf(zip_derived_cl2718_002,plain,
( ( sk_ @ ( unordered_pair @ sk__1 @ sk__2 ) @ ( singleton @ sk__1 ) )
= sk__1 ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl47]) ).
thf(zip_derived_cl2742,plain,
( ~ ( member @ sk__1 @ universal_class )
| ( subclass @ ( singleton @ sk__1 ) @ ( unordered_pair @ sk__1 @ sk__2 ) )
| ( sk__1 != sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2732,zip_derived_cl2718]) ).
thf(zip_derived_cl2743,plain,
( ( subclass @ ( singleton @ sk__1 ) @ ( unordered_pair @ sk__1 @ sk__2 ) )
| ~ ( member @ sk__1 @ universal_class ) ),
inference(simplify,[status(thm)],[zip_derived_cl2742]) ).
thf(zip_derived_cl47_003,plain,
~ ( subclass @ ( singleton @ sk__1 ) @ ( unordered_pair @ sk__1 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl12]) ).
thf(zip_derived_cl2745,plain,
~ ( member @ sk__1 @ universal_class ),
inference(clc,[status(thm)],[zip_derived_cl2743,zip_derived_cl47]) ).
thf(zip_derived_cl2718_004,plain,
( ( sk_ @ ( unordered_pair @ sk__1 @ sk__2 ) @ ( singleton @ sk__1 ) )
= sk__1 ),
inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl47]) ).
thf(zip_derived_cl2_005,plain,
! [X0: $i,X1: $i] :
( ( subclass @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subclass_defn]) ).
thf(zip_derived_cl2728,plain,
( ( member @ sk__1 @ ( singleton @ sk__1 ) )
| ( subclass @ ( singleton @ sk__1 ) @ ( unordered_pair @ sk__1 @ sk__2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2718,zip_derived_cl2]) ).
thf(zip_derived_cl47_006,plain,
~ ( subclass @ ( singleton @ sk__1 ) @ ( unordered_pair @ sk__1 @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl12]) ).
thf(zip_derived_cl3965,plain,
member @ sk__1 @ ( singleton @ sk__1 ),
inference(clc,[status(thm)],[zip_derived_cl2728,zip_derived_cl47]) ).
thf(zip_derived_cl12_007,plain,
! [X0: $i] :
( ( singleton @ X0 )
= ( unordered_pair @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[singleton_set_defn]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ universal_class )
| ~ ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[unordered_pair_defn]) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ ( singleton @ X0 ) )
| ( member @ X1 @ universal_class ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl7]) ).
thf(zip_derived_cl3969,plain,
member @ sk__1 @ universal_class,
inference('sup-',[status(thm)],[zip_derived_cl3965,zip_derived_cl62]) ).
thf(zip_derived_cl3975,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2745,zip_derived_cl3969]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET067+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dFHcYSP8TO true
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 12:10:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % 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
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /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
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.36/1.22 % Solved by fo/fo4.sh.
% 1.36/1.22 % done 465 iterations in 0.423s
% 1.36/1.22 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/1.22 % SZS output start Refutation
% See solution above
% 1.36/1.22
% 1.36/1.22
% 1.36/1.22 % Terminating...
% 1.91/1.28 % Runner terminated.
% 1.91/1.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------