%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU146+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Um7gpWsAUc true
% Computer : n024.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 0.54s 0.96s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 80 ( 38 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 176 ( 26 ~; 32 |; 1 &; 108 @)
% ( 8 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 39 ( 0 ^; 39 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(sk__8_type,type,
sk__8: $i ).
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_cl65,plain,
( ( sk__7 != empty_set )
| ~ ( subset @ sk__7 @ ( singleton @ sk__8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(l2_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( subset @ ( singleton @ A ) @ B )
<=> ( in @ A @ B ) ) ).
thf(zip_derived_cl60,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( singleton @ X0 ) @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[l2_zfmisc_1]) ).
thf(zip_derived_cl64,plain,
( ( sk__7
= ( singleton @ sk__8 ) )
| ( sk__7 = empty_set )
| ( subset @ sk__7 @ ( singleton @ sk__8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl66,plain,
( ( sk__7
!= ( singleton @ sk__8 ) )
| ~ ( subset @ sk__7 @ ( singleton @ sk__8 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d10_xboole_0,axiom,
! [A: $i,B: $i] :
( ( A = B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl450,plain,
( sk__7
!= ( singleton @ sk__8 ) ),
inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl5]) ).
thf(zip_derived_cl454,plain,
( ( sk__7 = empty_set )
| ( subset @ sk__7 @ ( singleton @ sk__8 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl64,zip_derived_cl450]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
thf(zip_derived_cl455,plain,
( ( sk__7 = empty_set )
| ( ( singleton @ sk__8 )
= sk__7 )
| ~ ( subset @ ( singleton @ sk__8 ) @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl7]) ).
thf(zip_derived_cl450_001,plain,
( sk__7
!= ( singleton @ sk__8 ) ),
inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl5]) ).
thf(zip_derived_cl457,plain,
( ( sk__7 = empty_set )
| ~ ( subset @ ( singleton @ sk__8 ) @ sk__7 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl455,zip_derived_cl450]) ).
thf(zip_derived_cl857,plain,
( ~ ( in @ sk__8 @ sk__7 )
| ( sk__7 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl457]) ).
thf(d1_xboole_0,axiom,
! [A: $i] :
( ( A = empty_set )
<=> ! [B: $i] :
~ ( in @ B @ A ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl454_002,plain,
( ( sk__7 = empty_set )
| ( subset @ sk__7 @ ( singleton @ sk__8 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl64,zip_derived_cl450]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl634,plain,
! [X0: $i] :
( ( sk__7 = empty_set )
| ~ ( in @ X0 @ sk__7 )
| ( in @ X0 @ ( singleton @ sk__8 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl454,zip_derived_cl26]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( X1 != empty_set ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl643,plain,
! [X0: $i] :
( ( in @ X0 @ ( singleton @ sk__8 ) )
| ~ ( in @ X0 @ sk__7 ) ),
inference(clc,[status(thm)],[zip_derived_cl634,zip_derived_cl12]) ).
thf(d1_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( singleton @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( C = A ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X1
!= ( singleton @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl464,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl648,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__7 )
| ( X0 = sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl643,zip_derived_cl464]) ).
thf(zip_derived_cl654,plain,
( ( sk__7 = empty_set )
| ( ( sk__1 @ sk__7 )
= sk__8 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl648]) ).
thf(zip_derived_cl13_003,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( in @ ( sk__1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl659,plain,
( ( sk__7 = empty_set )
| ( sk__7 = empty_set )
| ( in @ sk__8 @ sk__7 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl654,zip_derived_cl13]) ).
thf(zip_derived_cl661,plain,
( ( in @ sk__8 @ sk__7 )
| ( sk__7 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl659]) ).
thf(zip_derived_cl882,plain,
sk__7 = empty_set,
inference(clc,[status(thm)],[zip_derived_cl857,zip_derived_cl661]) ).
thf(zip_derived_cl882_004,plain,
sk__7 = empty_set,
inference(clc,[status(thm)],[zip_derived_cl857,zip_derived_cl661]) ).
thf(t2_xboole_1,axiom,
! [A: $i] : ( subset @ empty_set @ A ) ).
thf(zip_derived_cl81,plain,
! [X0: $i] : ( subset @ empty_set @ X0 ),
inference(cnf,[status(esa)],[t2_xboole_1]) ).
thf(zip_derived_cl883,plain,
empty_set != empty_set,
inference(demod,[status(thm)],[zip_derived_cl65,zip_derived_cl882,zip_derived_cl882,zip_derived_cl81]) ).
thf(zip_derived_cl884,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl883]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU146+2 : TPTP v9.2.0. Released v3.3.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Um7gpWsAUc true
% 0.11/0.34 % Computer : n024.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Wed Oct 1 16:10:53 EDT 2025
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Running portfolio for 300 s
% 0.11/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.53/0.64 % Total configuration time : 435
% 0.53/0.64 % Estimated wc time : 1092
% 0.53/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.96 % Solved by fo/fo6_bce.sh.
% 0.54/0.96 % BCE start: 108
% 0.54/0.96 % BCE eliminated: 2
% 0.54/0.96 % PE start: 106
% 0.54/0.96 logic: eq
% 0.54/0.96 % PE eliminated: 0
% 0.54/0.96 % done 191 iterations in 0.164s
% 0.54/0.96 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.96 % SZS output start Refutation
% See solution above
% 0.54/0.96
% 0.54/0.96
% 0.54/0.96 % Terminating...
% 0.55/1.06 % Runner terminated.
% 1.84/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------