TSTP Solution File: SET101+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET101+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.5UYLKr7EJ9 true
% Computer : n017.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 16:12:44 EDT 2023
% Result : Theorem 1.34s 0.76s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 23 ( 13 unt; 7 typ; 0 def)
% Number of atoms : 22 ( 9 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 90 ( 8 ~; 4 |; 1 &; 76 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(universal_class_type,type,
universal_class: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
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_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(singleton_member_of_ordered_pair,conjecture,
! [X: $i,Y: $i] : ( member @ ( singleton @ X ) @ ( ordered_pair @ X @ Y ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i] : ( member @ ( singleton @ X ) @ ( ordered_pair @ X @ Y ) ),
inference('cnf.neg',[status(esa)],[singleton_member_of_ordered_pair]) ).
thf(zip_derived_cl89,plain,
~ ( member @ ( singleton @ sk__7 ) @ ( ordered_pair @ sk__7 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(ordered_pair_defn,axiom,
! [X: $i,Y: $i] :
( ( ordered_pair @ X @ Y )
= ( unordered_pair @ ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( ordered_pair @ X0 @ X1 )
= ( unordered_pair @ ( singleton @ X0 ) @ ( unordered_pair @ X0 @ ( singleton @ X1 ) ) ) ),
inference(cnf,[status(esa)],[ordered_pair_defn]) ).
thf(zip_derived_cl606,plain,
~ ( member @ ( singleton @ sk__7 ) @ ( unordered_pair @ ( singleton @ sk__7 ) @ ( unordered_pair @ sk__7 @ ( singleton @ sk__8 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl13]) ).
thf(zip_derived_cl674,plain,
( ~ ( member @ ( singleton @ sk__7 ) @ universal_class )
| ( ( singleton @ sk__7 )
!= ( singleton @ sk__7 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl606]) ).
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,axiom,
! [X: $i,Y: $i] : ( member @ ( unordered_pair @ X @ Y ) @ universal_class ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] : ( member @ ( unordered_pair @ X0 @ X1 ) @ universal_class ),
inference(cnf,[status(esa)],[unordered_pair]) ).
thf(zip_derived_cl493,plain,
! [X0: $i] : ( member @ ( singleton @ X0 ) @ universal_class ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl11]) ).
thf(zip_derived_cl676,plain,
( ( singleton @ sk__7 )
!= ( singleton @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl674,zip_derived_cl493]) ).
thf(zip_derived_cl677,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl676]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET101+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5UYLKr7EJ9 true
% 0.13/0.34 % Computer : n017.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 15:22:11 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
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.34/0.76 % Solved by fo/fo3_bce.sh.
% 1.34/0.76 % BCE start: 90
% 1.34/0.76 % BCE eliminated: 0
% 1.34/0.76 % PE start: 90
% 1.34/0.76 logic: eq
% 1.34/0.76 % PE eliminated: 5
% 1.34/0.76 % done 85 iterations in 0.051s
% 1.34/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/0.76 % SZS output start Refutation
% See solution above
% 1.34/0.76
% 1.34/0.76
% 1.34/0.76 % Terminating...
% 1.43/0.83 % Runner terminated.
% 1.43/0.84 % Zipperpin 1.5 exiting
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