%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET889+1 : TPTP v9.2.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oQzfmTFkJo true
% Computer : n004.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 04:53:05 PM UTC 2025
% Result : Theorem 3.45s 1.11s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 103 ( 75 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 434 ( 26 ~; 56 |; 0 &; 347 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 80 ( 0 ^; 80 !; 0 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
thf(singleton_type,type,
singleton: $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(t30_zfmisc_1,conjecture,
! [A: $i] :
( ( powerset @ ( singleton @ A ) )
= ( unordered_pair @ empty_set @ ( singleton @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( powerset @ ( singleton @ A ) )
= ( unordered_pair @ empty_set @ ( singleton @ A ) ) ),
inference('cnf.neg',[status(esa)],[t30_zfmisc_1]) ).
thf(zip_derived_cl21,plain,
( ( powerset @ ( singleton @ sk__5 ) )
!= ( unordered_pair @ empty_set @ ( singleton @ sk__5 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d1_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( B
= ( powerset @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( subset @ C @ A ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( powerset @ X0 ) )
| ( subset @ ( sk_ @ X1 @ X0 ) @ X0 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
thf(l4_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ ( singleton @ B ) )
<=> ( ( A = empty_set )
| ( A
= ( singleton @ B ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( singleton @ X0 ) )
| ( X1 = empty_set )
| ~ ( subset @ X1 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[l4_zfmisc_1]) ).
thf(zip_derived_cl129,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk_ @ X1 @ ( singleton @ X0 ) ) @ X1 )
| ( X1
= ( powerset @ ( singleton @ X0 ) ) )
| ( ( sk_ @ X1 @ ( singleton @ X0 ) )
= ( singleton @ X0 ) )
| ( ( sk_ @ X1 @ ( singleton @ X0 ) )
= empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).
thf(d2_tarski,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( unordered_pair @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( D = A )
| ( D = B ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X0 = X3 )
| ( X1
!= ( unordered_pair @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
thf(zip_derived_cl140,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( X0 = X2 )
| ~ ( in @ X0 @ ( unordered_pair @ X2 @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl198,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( sk_ @ ( unordered_pair @ X1 @ X0 ) @ ( singleton @ X2 ) )
= empty_set )
| ( ( sk_ @ ( unordered_pair @ X1 @ X0 ) @ ( singleton @ X2 ) )
= ( singleton @ X2 ) )
| ( ( unordered_pair @ X1 @ X0 )
= ( powerset @ ( singleton @ X2 ) ) )
| ( ( sk_ @ ( unordered_pair @ X1 @ X0 ) @ ( singleton @ X2 ) )
= X0 )
| ( ( sk_ @ ( unordered_pair @ X1 @ X0 ) @ ( singleton @ X2 ) )
= X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl140]) ).
thf(zip_derived_cl405,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 != empty_set )
| ( ( sk_ @ ( unordered_pair @ X2 @ X0 ) @ ( singleton @ X1 ) )
= X2 )
| ( ( unordered_pair @ X2 @ X0 )
= ( powerset @ ( singleton @ X1 ) ) )
| ( ( sk_ @ ( unordered_pair @ X2 @ X0 ) @ ( singleton @ X1 ) )
= ( singleton @ X1 ) )
| ( ( sk_ @ ( unordered_pair @ X2 @ X0 ) @ ( singleton @ X1 ) )
= empty_set ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl198]) ).
thf(zip_derived_cl1061,plain,
! [X0: $i,X1: $i] :
( ( ( sk_ @ ( unordered_pair @ X1 @ empty_set ) @ ( singleton @ X0 ) )
= empty_set )
| ( ( sk_ @ ( unordered_pair @ X1 @ empty_set ) @ ( singleton @ X0 ) )
= ( singleton @ X0 ) )
| ( ( unordered_pair @ X1 @ empty_set )
= ( powerset @ ( singleton @ X0 ) ) )
| ( ( sk_ @ ( unordered_pair @ X1 @ empty_set ) @ ( singleton @ X0 ) )
= X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl405]) ).
thf(zip_derived_cl1126,plain,
! [X0: $i,X1: $i] :
( ( ( singleton @ X0 )
!= X1 )
| ( ( sk_ @ ( unordered_pair @ X1 @ empty_set ) @ ( singleton @ X0 ) )
= X1 )
| ( ( unordered_pair @ X1 @ empty_set )
= ( powerset @ ( singleton @ X0 ) ) )
| ( ( sk_ @ ( unordered_pair @ X1 @ empty_set ) @ ( singleton @ X0 ) )
= empty_set ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1061]) ).
thf(zip_derived_cl1161,plain,
! [X0: $i] :
( ( ( sk_ @ ( unordered_pair @ ( singleton @ X0 ) @ empty_set ) @ ( singleton @ X0 ) )
= empty_set )
| ( ( unordered_pair @ ( singleton @ X0 ) @ empty_set )
= ( powerset @ ( singleton @ X0 ) ) )
| ( ( sk_ @ ( unordered_pair @ ( singleton @ X0 ) @ empty_set ) @ ( singleton @ X0 ) )
= ( singleton @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1126]) ).
thf(commutativity_k2_tarski,axiom,
! [A: $i,B: $i] :
( ( unordered_pair @ A @ B )
= ( unordered_pair @ B @ A ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl1_001,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl1_002,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl1162,plain,
! [X0: $i] :
( ( ( sk_ @ ( unordered_pair @ empty_set @ ( singleton @ X0 ) ) @ ( singleton @ X0 ) )
= empty_set )
| ( ( unordered_pair @ empty_set @ ( singleton @ X0 ) )
= ( powerset @ ( singleton @ X0 ) ) )
| ( ( sk_ @ ( unordered_pair @ empty_set @ ( singleton @ X0 ) ) @ ( singleton @ X0 ) )
= ( singleton @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1161,zip_derived_cl1,zip_derived_cl1,zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( powerset @ X0 ) )
| ~ ( subset @ ( sk_ @ X1 @ X0 ) @ X0 )
| ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
thf(zip_derived_cl1640,plain,
! [X0: $i] :
( ( ( unordered_pair @ empty_set @ ( singleton @ X0 ) )
= ( powerset @ ( singleton @ X0 ) ) )
| ( ( sk_ @ ( unordered_pair @ empty_set @ ( singleton @ X0 ) ) @ ( singleton @ X0 ) )
= empty_set )
| ( ( unordered_pair @ empty_set @ ( singleton @ X0 ) )
= ( powerset @ ( singleton @ X0 ) ) )
| ~ ( subset @ ( singleton @ X0 ) @ ( singleton @ X0 ) )
| ~ ( in @ ( singleton @ X0 ) @ ( unordered_pair @ empty_set @ ( singleton @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1162,zip_derived_cl4]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl18,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 != X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( unordered_pair @ X3 @ X0 ) ) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
thf(zip_derived_cl116,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl119,plain,
! [X0: $i,X1: $i] : ( in @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl116]) ).
thf(zip_derived_cl1650,plain,
! [X0: $i] :
( ( ( unordered_pair @ empty_set @ ( singleton @ X0 ) )
= ( powerset @ ( singleton @ X0 ) ) )
| ( ( sk_ @ ( unordered_pair @ empty_set @ ( singleton @ X0 ) ) @ ( singleton @ X0 ) )
= empty_set )
| ( ( unordered_pair @ empty_set @ ( singleton @ X0 ) )
= ( powerset @ ( singleton @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1640,zip_derived_cl18,zip_derived_cl119]) ).
thf(zip_derived_cl1651,plain,
! [X0: $i] :
( ( ( sk_ @ ( unordered_pair @ empty_set @ ( singleton @ X0 ) ) @ ( singleton @ X0 ) )
= empty_set )
| ( ( unordered_pair @ empty_set @ ( singleton @ X0 ) )
= ( powerset @ ( singleton @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1650]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ ( singleton @ X1 ) )
| ( X0 != empty_set ) ),
inference(cnf,[status(esa)],[l4_zfmisc_1]) ).
thf(zip_derived_cl4_003,plain,
! [X0: $i,X1: $i] :
( ( X1
= ( powerset @ X0 ) )
| ~ ( subset @ ( sk_ @ X1 @ X0 ) @ X0 )
| ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
thf(zip_derived_cl125,plain,
! [X0: $i,X1: $i] :
( ( ( sk_ @ X1 @ ( singleton @ X0 ) )
!= empty_set )
| ( X1
= ( powerset @ ( singleton @ X0 ) ) )
| ~ ( in @ ( sk_ @ X1 @ ( singleton @ X0 ) ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl4]) ).
thf(zip_derived_cl1669,plain,
! [X0: $i] :
( ( ( unordered_pair @ empty_set @ ( singleton @ X0 ) )
= ( powerset @ ( singleton @ X0 ) ) )
| ( empty_set != empty_set )
| ( ( unordered_pair @ empty_set @ ( singleton @ X0 ) )
= ( powerset @ ( singleton @ X0 ) ) )
| ~ ( in @ empty_set @ ( unordered_pair @ empty_set @ ( singleton @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1651,zip_derived_cl125]) ).
thf(zip_derived_cl1_004,plain,
! [X0: $i,X1: $i] :
( ( unordered_pair @ X1 @ X0 )
= ( unordered_pair @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
thf(zip_derived_cl116_005,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0
!= ( unordered_pair @ X2 @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2
!= ( unordered_pair @ X1 @ X0 ) )
| ( in @ X1 @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl116]) ).
thf(zip_derived_cl124,plain,
! [X0: $i,X1: $i] : ( in @ X1 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl117]) ).
thf(zip_derived_cl1683,plain,
! [X0: $i] :
( ( ( unordered_pair @ empty_set @ ( singleton @ X0 ) )
= ( powerset @ ( singleton @ X0 ) ) )
| ( empty_set != empty_set )
| ( ( unordered_pair @ empty_set @ ( singleton @ X0 ) )
= ( powerset @ ( singleton @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1669,zip_derived_cl124]) ).
thf(zip_derived_cl1684,plain,
! [X0: $i] :
( ( unordered_pair @ empty_set @ ( singleton @ X0 ) )
= ( powerset @ ( singleton @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1683]) ).
thf(zip_derived_cl1694,plain,
( ( unordered_pair @ empty_set @ ( singleton @ sk__5 ) )
!= ( unordered_pair @ empty_set @ ( singleton @ sk__5 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl1684]) ).
thf(zip_derived_cl1695,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1694]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SET889+1 : TPTP v9.2.0. Bugfixed v4.0.0.
% 0.06/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oQzfmTFkJo true
% 0.11/0.31 % Computer : n004.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed Oct 1 12:59:53 EDT 2025
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in FO mode
% 0.51/0.64 % Total configuration time : 435
% 0.51/0.64 % Estimated wc time : 1092
% 0.51/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.45/1.11 % Solved by fo/fo6_bce.sh.
% 3.45/1.11 % BCE start: 22
% 3.45/1.11 % BCE eliminated: 0
% 3.45/1.11 % PE start: 22
% 3.45/1.11 logic: eq
% 3.45/1.11 % PE eliminated: 1
% 3.45/1.11 % done 410 iterations in 0.396s
% 3.45/1.11 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.45/1.11 % SZS output start Refutation
% See solution above
% 3.45/1.11
% 3.45/1.11
% 3.45/1.11 % Terminating...
% 3.81/1.17 % Runner terminated.
% 3.81/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------