TSTP Solution File: SET076+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET076+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5OHGZI2Y3v true
% Computer : n023.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 16:12:28 EDT 2023
% Result : Theorem 0.56s 0.84s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 29 ( 8 unt; 8 typ; 0 def)
% Number of atoms : 42 ( 11 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 148 ( 9 ~; 13 |; 3 &; 118 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(subclass_type,type,
subclass: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(universal_class_type,type,
universal_class: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(unordered_pair_is_subset,conjecture,
! [X: $i,Y: $i,Z: $i] :
( ( ( member @ X @ Z )
& ( member @ Y @ Z ) )
=> ( subclass @ ( unordered_pair @ X @ Y ) @ Z ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i,Z: $i] :
( ( ( member @ X @ Z )
& ( member @ Y @ Z ) )
=> ( subclass @ ( unordered_pair @ X @ Y ) @ Z ) ),
inference('cnf.neg',[status(esa)],[unordered_pair_is_subset]) ).
thf(zip_derived_cl16,plain,
~ ( subclass @ ( unordered_pair @ sk__1 @ sk__2 ) @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(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_cl116,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subclass @ ( unordered_pair @ X1 @ X0 ) @ X2 )
| ( ( sk_ @ X2 @ ( unordered_pair @ X1 @ X0 ) )
= X1 )
| ( ( sk_ @ X2 @ ( unordered_pair @ X1 @ X0 ) )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).
thf(zip_derived_cl16_001,plain,
~ ( subclass @ ( unordered_pair @ sk__1 @ sk__2 ) @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl695,plain,
( ( ( sk_ @ sk__3 @ ( unordered_pair @ sk__1 @ sk__2 ) )
= sk__2 )
| ( ( sk_ @ sk__3 @ ( unordered_pair @ sk__1 @ sk__2 ) )
= sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl16]) ).
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_cl704,plain,
( ~ ( member @ sk__1 @ sk__3 )
| ( ( sk_ @ sk__3 @ ( unordered_pair @ sk__1 @ sk__2 ) )
= sk__2 )
| ( subclass @ ( unordered_pair @ sk__1 @ sk__2 ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl695,zip_derived_cl1]) ).
thf(zip_derived_cl14,plain,
member @ sk__1 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl713,plain,
( ( ( sk_ @ sk__3 @ ( unordered_pair @ sk__1 @ sk__2 ) )
= sk__2 )
| ( subclass @ ( unordered_pair @ sk__1 @ sk__2 ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl704,zip_derived_cl14]) ).
thf(zip_derived_cl16_002,plain,
~ ( subclass @ ( unordered_pair @ sk__1 @ sk__2 ) @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl732,plain,
( ( sk_ @ sk__3 @ ( unordered_pair @ sk__1 @ sk__2 ) )
= sk__2 ),
inference(clc,[status(thm)],[zip_derived_cl713,zip_derived_cl16]) ).
thf(zip_derived_cl1_003,plain,
! [X0: $i,X1: $i] :
( ( subclass @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subclass_defn]) ).
thf(zip_derived_cl733,plain,
( ~ ( member @ sk__2 @ sk__3 )
| ( subclass @ ( unordered_pair @ sk__1 @ sk__2 ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl732,zip_derived_cl1]) ).
thf(zip_derived_cl15,plain,
member @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl741,plain,
subclass @ ( unordered_pair @ sk__1 @ sk__2 ) @ sk__3,
inference(demod,[status(thm)],[zip_derived_cl733,zip_derived_cl15]) ).
thf(zip_derived_cl744,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl741]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET076+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5OHGZI2Y3v true
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 15:47:11 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.84 % Solved by fo/fo4.sh.
% 0.56/0.84 % done 217 iterations in 0.092s
% 0.56/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.84 % SZS output start Refutation
% See solution above
% 0.56/0.84
% 0.56/0.84
% 0.56/0.84 % Terminating...
% 1.51/0.97 % Runner terminated.
% 1.51/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------