TSTP Solution File: SET071+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET071+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.AS1gWlh36T true
% Computer : n014.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 16:12:24 EDT 2023
% Result : Theorem 96.47s 14.41s
% Output : Refutation 96.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 53 ( 12 unt; 9 typ; 0 def)
% Number of atoms : 99 ( 60 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 241 ( 41 ~; 46 |; 5 &; 145 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 57 ( 0 ^; 56 !; 1 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(null_class_type,type,
null_class: $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(regularity,axiom,
! [X: $i] :
( ( X != null_class )
=> ? [U: $i] :
( ( disjoint @ U @ X )
& ( member @ U @ X )
& ( member @ U @ universal_class ) ) ) ).
thf(zip_derived_cl84,plain,
! [X0: $i] :
( ( member @ ( sk__5 @ X0 ) @ X0 )
| ( X0 = null_class ) ),
inference(cnf,[status(esa)],[regularity]) ).
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_cl495,plain,
! [X0: $i,X1: $i] :
( ( ( unordered_pair @ X1 @ X0 )
= null_class )
| ( ( sk__5 @ ( unordered_pair @ X1 @ X0 ) )
= X1 )
| ( ( sk__5 @ ( unordered_pair @ X1 @ X0 ) )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl8]) ).
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(zip_derived_cl8_001,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_cl479,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_cl480,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl479]) ).
thf(zip_derived_cl84_002,plain,
! [X0: $i] :
( ( member @ ( sk__5 @ X0 ) @ X0 )
| ( X0 = null_class ) ),
inference(cnf,[status(esa)],[regularity]) ).
thf(zip_derived_cl510,plain,
! [X0: $i] :
( ( ( sk__5 @ ( singleton @ X0 ) )
= X0 )
| ( ( singleton @ X0 )
= null_class ) ),
inference('sup+',[status(thm)],[zip_derived_cl480,zip_derived_cl84]) ).
thf(zip_derived_cl85,plain,
! [X0: $i] :
( ( member @ ( sk__5 @ X0 ) @ universal_class )
| ( X0 = null_class ) ),
inference(cnf,[status(esa)],[regularity]) ).
thf(zip_derived_cl550,plain,
! [X0: $i] :
( ( member @ X0 @ universal_class )
| ( ( singleton @ X0 )
= null_class )
| ( ( singleton @ X0 )
= null_class ) ),
inference('sup+',[status(thm)],[zip_derived_cl510,zip_derived_cl85]) ).
thf(zip_derived_cl553,plain,
! [X0: $i] :
( ( ( singleton @ X0 )
= null_class )
| ( member @ X0 @ universal_class ) ),
inference(simplify,[status(thm)],[zip_derived_cl550]) ).
thf(null_unordered_pair,conjecture,
! [X: $i,Y: $i] :
( ( ~ ( member @ X @ universal_class )
& ~ ( member @ Y @ universal_class ) )
=> ( ( unordered_pair @ X @ Y )
= null_class ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i] :
( ( ~ ( member @ X @ universal_class )
& ~ ( member @ Y @ universal_class ) )
=> ( ( unordered_pair @ X @ Y )
= null_class ) ),
inference('cnf.neg',[status(esa)],[null_unordered_pair]) ).
thf(zip_derived_cl91,plain,
~ ( member @ sk__7 @ universal_class ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl597,plain,
( ( singleton @ sk__7 )
= null_class ),
inference('sup-',[status(thm)],[zip_derived_cl553,zip_derived_cl91]) ).
thf(zip_derived_cl12_003,plain,
! [X0: $i] :
( ( singleton @ X0 )
= ( unordered_pair @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[singleton_set_defn]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) )
| ( X0 != X2 )
| ~ ( member @ X0 @ universal_class ) ),
inference(cnf,[status(esa)],[unordered_pair_defn]) ).
thf(zip_derived_cl521,plain,
! [X0: $i,X1: $i] :
( ( member @ X1 @ ( singleton @ X0 ) )
| ~ ( member @ X1 @ universal_class )
| ( X1 != X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl9]) ).
thf(zip_derived_cl3142,plain,
! [X0: $i] :
( ( member @ X0 @ null_class )
| ( X0 != sk__7 )
| ~ ( member @ X0 @ universal_class ) ),
inference('sup+',[status(thm)],[zip_derived_cl597,zip_derived_cl521]) ).
thf(null_class_defn,axiom,
! [X: $i] :
~ ( member @ X @ null_class ) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
~ ( member @ X0 @ null_class ),
inference(cnf,[status(esa)],[null_class_defn]) ).
thf(zip_derived_cl3187,plain,
! [X0: $i] :
( ~ ( member @ X0 @ universal_class )
| ( X0 != sk__7 ) ),
inference(clc,[status(thm)],[zip_derived_cl3142,zip_derived_cl31]) ).
thf(zip_derived_cl85_004,plain,
! [X0: $i] :
( ( member @ ( sk__5 @ X0 ) @ universal_class )
| ( X0 = null_class ) ),
inference(cnf,[status(esa)],[regularity]) ).
thf(zip_derived_cl3223,plain,
! [X0: $i] :
( ( ( sk__5 @ X0 )
!= sk__7 )
| ( X0 = null_class ) ),
inference('sup+',[status(thm)],[zip_derived_cl3187,zip_derived_cl85]) ).
thf(zip_derived_cl3489,plain,
! [X0: $i,X1: $i] :
( ( X0 != sk__7 )
| ( ( sk__5 @ ( unordered_pair @ X0 @ X1 ) )
= X1 )
| ( ( unordered_pair @ X0 @ X1 )
= null_class )
| ( ( unordered_pair @ X0 @ X1 )
= null_class ) ),
inference('sup-',[status(thm)],[zip_derived_cl495,zip_derived_cl3223]) ).
thf(zip_derived_cl3495,plain,
! [X0: $i,X1: $i] :
( ( ( unordered_pair @ X0 @ X1 )
= null_class )
| ( ( sk__5 @ ( unordered_pair @ X0 @ X1 ) )
= X1 )
| ( X0 != sk__7 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3489]) ).
thf(zip_derived_cl553_005,plain,
! [X0: $i] :
( ( ( singleton @ X0 )
= null_class )
| ( member @ X0 @ universal_class ) ),
inference(simplify,[status(thm)],[zip_derived_cl550]) ).
thf(zip_derived_cl90,plain,
~ ( member @ sk__8 @ universal_class ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl598,plain,
( ( singleton @ sk__8 )
= null_class ),
inference('sup-',[status(thm)],[zip_derived_cl553,zip_derived_cl90]) ).
thf(zip_derived_cl521_006,plain,
! [X0: $i,X1: $i] :
( ( member @ X1 @ ( singleton @ X0 ) )
| ~ ( member @ X1 @ universal_class )
| ( X1 != X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl9]) ).
thf(zip_derived_cl3143,plain,
! [X0: $i] :
( ( member @ X0 @ null_class )
| ( X0 != sk__8 )
| ~ ( member @ X0 @ universal_class ) ),
inference('sup+',[status(thm)],[zip_derived_cl598,zip_derived_cl521]) ).
thf(zip_derived_cl31_007,plain,
! [X0: $i] :
~ ( member @ X0 @ null_class ),
inference(cnf,[status(esa)],[null_class_defn]) ).
thf(zip_derived_cl12397,plain,
! [X0: $i] :
( ~ ( member @ X0 @ universal_class )
| ( X0 != sk__8 ) ),
inference(clc,[status(thm)],[zip_derived_cl3143,zip_derived_cl31]) ).
thf(zip_derived_cl85_008,plain,
! [X0: $i] :
( ( member @ ( sk__5 @ X0 ) @ universal_class )
| ( X0 = null_class ) ),
inference(cnf,[status(esa)],[regularity]) ).
thf(zip_derived_cl12442,plain,
! [X0: $i] :
( ( ( sk__5 @ X0 )
!= sk__8 )
| ( X0 = null_class ) ),
inference('sup+',[status(thm)],[zip_derived_cl12397,zip_derived_cl85]) ).
thf(zip_derived_cl113573,plain,
! [X0: $i,X1: $i] :
( ( X0 != sk__8 )
| ( X1 != sk__7 )
| ( ( unordered_pair @ X1 @ X0 )
= null_class )
| ( ( unordered_pair @ X1 @ X0 )
= null_class ) ),
inference('sup-',[status(thm)],[zip_derived_cl3495,zip_derived_cl12442]) ).
thf(zip_derived_cl113645,plain,
! [X0: $i,X1: $i] :
( ( ( unordered_pair @ X1 @ X0 )
= null_class )
| ( X1 != sk__7 )
| ( X0 != sk__8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl113573]) ).
thf(zip_derived_cl89,plain,
( ( unordered_pair @ sk__7 @ sk__8 )
!= null_class ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl118857,plain,
( ( null_class != null_class )
| ( sk__8 != sk__8 )
| ( sk__7 != sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl113645,zip_derived_cl89]) ).
thf(zip_derived_cl119341,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl118857]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET071+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.AS1gWlh36T true
% 0.18/0.35 % Computer : n014.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Sat Aug 26 11:30:32 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.18/0.35 % Running portfolio for 300 s
% 0.18/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35 % Number of cores: 8
% 0.18/0.35 % Python version: Python 3.6.8
% 0.18/0.36 % Running in FO mode
% 0.22/0.63 % Total configuration time : 435
% 0.22/0.63 % Estimated wc time : 1092
% 0.22/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /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
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.61/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 96.47/14.41 % Solved by fo/fo3_bce.sh.
% 96.47/14.41 % BCE start: 92
% 96.47/14.41 % BCE eliminated: 0
% 96.47/14.41 % PE start: 92
% 96.47/14.41 logic: eq
% 96.47/14.41 % PE eliminated: 5
% 96.47/14.41 % done 11281 iterations in 13.664s
% 96.47/14.41 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 96.47/14.41 % SZS output start Refutation
% See solution above
% 96.47/14.41
% 96.47/14.41
% 96.47/14.41 % Terminating...
% 96.97/14.48 % Runner terminated.
% 96.97/14.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------