%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET017+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bVhakg0SBj true
% Computer : n026.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 Oct 2 04:51:09 PM UTC 2025
% Result : Theorem 0.76s 0.68s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 31 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 64 ( 42 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 139 ( 21 ~; 25 |; 5 &; 85 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 32 ( 0 ^; 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(universal_class_type,type,
universal_class: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(left_cancellation,conjecture,
! [X: $i,Y: $i,Z: $i] :
( ( ( member @ Y @ universal_class )
& ( member @ Z @ universal_class )
& ( ( unordered_pair @ X @ Y )
= ( unordered_pair @ X @ Z ) ) )
=> ( Y = Z ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i,Y: $i,Z: $i] :
( ( ( member @ Y @ universal_class )
& ( member @ Z @ universal_class )
& ( ( unordered_pair @ X @ Y )
= ( unordered_pair @ X @ Z ) ) )
=> ( Y = Z ) ),
inference('cnf.neg',[status(esa)],[left_cancellation]) ).
thf(zip_derived_cl10,plain,
member @ sk__1 @ universal_class,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
( ( unordered_pair @ sk_ @ sk__1 )
= ( unordered_pair @ sk_ @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
member @ sk__2 @ universal_class,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl2,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_cl8_001,plain,
( ( unordered_pair @ sk_ @ sk__1 )
= ( unordered_pair @ sk_ @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,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_cl16,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( unordered_pair @ sk_ @ sk__2 ) )
| ( X0 = sk_ )
| ( X0 = sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl1]) ).
thf(zip_derived_cl25,plain,
! [X0: $i] :
( ~ ( member @ X0 @ universal_class )
| ( X0 != sk__2 )
| ( X0 = sk__1 )
| ( X0 = sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl16]) ).
thf(zip_derived_cl29,plain,
( ( sk__2 = sk_ )
| ( sk__2 = sk__1 )
| ( sk__2 != sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl25]) ).
thf(zip_derived_cl30,plain,
( ( sk__2 = sk__1 )
| ( sk__2 = sk_ ) ),
inference(simplify,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl7,plain,
sk__1 != sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31,plain,
sk__2 = sk_,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl30,zip_derived_cl7]) ).
thf(singleton_set_defn,axiom,
! [X: $i] :
( ( singleton @ X )
= ( unordered_pair @ X @ X ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( singleton @ X0 )
= ( unordered_pair @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[singleton_set_defn]) ).
thf(zip_derived_cl33,plain,
( ( unordered_pair @ sk_ @ sk__1 )
= ( singleton @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl31,zip_derived_cl5]) ).
thf(zip_derived_cl2_002,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_cl42,plain,
! [X0: $i] :
( ( member @ X0 @ ( singleton @ sk_ ) )
| ~ ( member @ X0 @ universal_class )
| ( X0 != sk__1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl2]) ).
thf(zip_derived_cl5_003,plain,
! [X0: $i] :
( ( singleton @ X0 )
= ( unordered_pair @ X0 @ X0 ) ),
inference(cnf,[status(esa)],[singleton_set_defn]) ).
thf(zip_derived_cl1_004,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_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ ( singleton @ X0 ) )
| ( X1 = X0 )
| ( X1 = X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl48,plain,
! [X0: $i] :
( ( X0 != sk__1 )
| ~ ( member @ X0 @ universal_class )
| ( X0 = sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl13]) ).
thf(zip_derived_cl57,plain,
( ( sk__1 = sk_ )
| ( sk__1 != sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl48]) ).
thf(zip_derived_cl58,plain,
sk__1 = sk_,
inference(simplify,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl7_005,plain,
sk__1 != sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl31_006,plain,
sk__2 = sk_,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl30,zip_derived_cl7]) ).
thf(zip_derived_cl32,plain,
sk__1 != sk_,
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl31]) ).
thf(zip_derived_cl59,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl58,zip_derived_cl32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET017+1 : TPTP v9.2.0. Bugfixed v5.4.0.
% 0.02/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bVhakg0SBj true
% 0.10/0.31 % Computer : n026.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 13:21:38 EDT 2025
% 0.16/0.31 % CPUTime :
% 0.16/0.31 % Running portfolio for 300 s
% 0.16/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.31 % Number of cores: 8
% 0.16/0.31 % Python version: Python 3.6.8
% 0.16/0.31 % Running in FO mode
% 0.51/0.57 % Total configuration time : 435
% 0.51/0.57 % Estimated wc time : 1092
% 0.51/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.76/0.65 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.76/0.65 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.76/0.65 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.76/0.65 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.76/0.65 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.76/0.65 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.76/0.66 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.76/0.68 % Solved by fo/fo4.sh.
% 0.76/0.68 % done 29 iterations in 0.013s
% 0.76/0.68 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.76/0.68 % SZS output start Refutation
% See solution above
% 0.76/0.68
% 0.76/0.68
% 0.76/0.69 % Terminating...
% 1.32/0.78 % Runner terminated.
% 1.32/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------