%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU146+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OnqsE3uZnq 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 Oct 2 04:53:34 PM UTC 2025
% Result : Theorem 0.46s 0.86s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 68 ( 22 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 177 ( 25 ~; 23 |; 1 &; 121 @)
% ( 5 <=>; 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; 4 con; 0-2 aty)
% Number of variables : 34 ( 0 ^; 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__1_type,type,
sk__1: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(t3_xboole_1,axiom,
! [A: $i] :
( ( subset @ A @ empty_set )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( subset @ X0 @ empty_set ) ),
inference(cnf,[status(esa)],[t3_xboole_1]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(l4_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ( subset @ A @ ( singleton @ B ) )
<=> ( ( A = empty_set )
| ( A
= ( singleton @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( subset @ A @ ( singleton @ B ) )
<=> ( ( A = empty_set )
| ( A
= ( singleton @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[l4_zfmisc_1]) ).
thf(zip_derived_cl11,plain,
( ( sk_
= ( singleton @ sk__1 ) )
| ( sk_ = empty_set )
| ( subset @ sk_ @ ( singleton @ sk__1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
( ( sk_ != empty_set )
| ~ ( subset @ sk_ @ ( singleton @ sk__1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl95,plain,
( ( sk_ != empty_set )
| ~ ( subset @ empty_set @ ( singleton @ sk__1 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl12]) ).
thf(t2_xboole_1,axiom,
! [A: $i] : ( subset @ empty_set @ A ) ).
thf(zip_derived_cl17,plain,
! [X0: $i] : ( subset @ empty_set @ X0 ),
inference(cnf,[status(esa)],[t2_xboole_1]) ).
thf(zip_derived_cl96,plain,
sk_ != empty_set,
inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl17]) ).
thf(zip_derived_cl13,plain,
( ( sk_
!= ( singleton @ sk__1 ) )
| ~ ( subset @ sk_ @ ( singleton @ sk__1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101,plain,
( ( sk_
!= ( singleton @ sk__1 ) )
| ~ ( subset @ sk_ @ sk_ ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl16_001,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(zip_derived_cl102,plain,
( sk_
!= ( singleton @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl16]) ).
thf(zip_derived_cl121,plain,
subset @ sk_ @ ( singleton @ sk__1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11,zip_derived_cl96,zip_derived_cl102]) ).
thf(t37_xboole_1,axiom,
! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
= empty_set )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( ( set_difference @ X0 @ X1 )
= empty_set )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t37_xboole_1]) ).
thf(l3_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( subset @ A @ B )
=> ( ( in @ C @ A )
| ( subset @ A @ ( set_difference @ B @ ( singleton @ C ) ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ( in @ X2 @ X0 )
| ( subset @ X0 @ ( set_difference @ X1 @ ( singleton @ X2 ) ) ) ),
inference(cnf,[status(esa)],[l3_zfmisc_1]) ).
thf(zip_derived_cl131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X2 @ empty_set )
| ~ ( subset @ X1 @ ( singleton @ X0 ) )
| ( in @ X0 @ X2 )
| ~ ( subset @ X2 @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl10]) ).
thf(zip_derived_cl176,plain,
! [X0: $i] :
( ~ ( subset @ X0 @ sk_ )
| ( in @ sk__1 @ X0 )
| ( subset @ X0 @ empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl131]) ).
thf(zip_derived_cl184,plain,
( ( subset @ sk_ @ empty_set )
| ( in @ sk__1 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl176]) ).
thf(zip_derived_cl121_002,plain,
subset @ sk_ @ ( singleton @ sk__1 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl11,zip_derived_cl96,zip_derived_cl102]) ).
thf(d10_xboole_0,axiom,
! [A: $i,B: $i] :
( ( A = B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl122,plain,
( ~ ( subset @ ( singleton @ sk__1 ) @ sk_ )
| ( ( singleton @ sk__1 )
= sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl3]) ).
thf(zip_derived_cl102_003,plain,
( sk_
!= ( singleton @ sk__1 ) ),
inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl16]) ).
thf(zip_derived_cl123,plain,
~ ( subset @ ( singleton @ sk__1 ) @ sk_ ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl122,zip_derived_cl102]) ).
thf(l2_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( subset @ ( singleton @ A ) @ B )
<=> ( in @ A @ B ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( singleton @ X0 ) @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[l2_zfmisc_1]) ).
thf(zip_derived_cl125,plain,
~ ( in @ sk__1 @ sk_ ),
inference('sup+',[status(thm)],[zip_derived_cl123,zip_derived_cl9]) ).
thf(zip_derived_cl187,plain,
subset @ sk_ @ empty_set,
inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl125]) ).
thf(zip_derived_cl191,plain,
sk_ = empty_set,
inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl187]) ).
thf(zip_derived_cl96_004,plain,
sk_ != empty_set,
inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl17]) ).
thf(zip_derived_cl192,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl191,zip_derived_cl96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SEU146+1 : TPTP v9.2.0. Released v3.3.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OnqsE3uZnq true
% 0.10/0.31 % Computer : n017.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 16:06:08 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.14/0.31 % Python version: Python 3.6.8
% 0.14/0.31 % Running in FO mode
% 0.44/0.69 % Total configuration time : 435
% 0.44/0.69 % Estimated wc time : 1092
% 0.44/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.44/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.44/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.44/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.44/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.46/0.86 % Solved by fo/fo3_bce.sh.
% 0.46/0.86 % BCE start: 21
% 0.46/0.86 % BCE eliminated: 0
% 0.46/0.86 % PE start: 21
% 0.46/0.86 logic: eq
% 0.46/0.86 % PE eliminated: 1
% 0.46/0.86 % done 56 iterations in 0.033s
% 0.46/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.46/0.86 % SZS output start Refutation
% See solution above
% 0.46/0.86
% 0.46/0.86
% 0.46/0.86 % Terminating...
% 1.49/0.93 % Runner terminated.
% 1.49/0.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------