%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET921+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.srKwzUEyyH 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 04:53:09 PM UTC 2025
% Result : Theorem 0.53s 0.74s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 65 ( 22 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 198 ( 29 ~; 27 |; 3 &; 133 @)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 48 ( 0 ^; 48 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__6_type,type,
sk__6: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(t64_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( in @ A @ ( set_difference @ B @ ( singleton @ C ) ) )
<=> ( ( in @ A @ B )
& ( A != C ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( in @ A @ ( set_difference @ B @ ( singleton @ C ) ) )
<=> ( ( in @ A @ B )
& ( A != C ) ) ),
inference('cnf.neg',[status(esa)],[t64_zfmisc_1]) ).
thf(zip_derived_cl14,plain,
( ( sk__4 != sk__6 )
| ( in @ sk__4 @ ( set_difference @ sk__5 @ ( singleton @ sk__6 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d4_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_difference @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ~ ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( in @ X0 @ X3 )
| ( X3
!= ( set_difference @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
thf(zip_derived_cl88,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( set_difference @ X1 @ X0 ) )
| ( in @ X2 @ X0 )
| ~ ( in @ X2 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl15,plain,
( ( sk__4 = sk__6 )
| ~ ( in @ sk__4 @ sk__5 )
| ~ ( in @ sk__4 @ ( set_difference @ sk__5 @ ( singleton @ sk__6 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X1
!= ( set_difference @ X2 @ X3 ) ) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
| ~ ( in @ X1 @ ( set_difference @ X0 @ X2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl87,plain,
( ~ ( in @ sk__4 @ ( set_difference @ sk__5 @ ( singleton @ sk__6 ) ) )
| ( sk__4 = sk__6 ) ),
inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl85]) ).
thf(zip_derived_cl96,plain,
( ~ ( in @ sk__4 @ sk__5 )
| ( in @ sk__4 @ ( singleton @ sk__6 ) )
| ( sk__4 = sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl87]) ).
thf(zip_derived_cl13,plain,
( ( in @ sk__4 @ sk__5 )
| ( in @ sk__4 @ ( set_difference @ sk__5 @ ( singleton @ sk__6 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl85_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X1 @ X0 )
| ~ ( in @ X1 @ ( set_difference @ X0 @ X2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl89,plain,
in @ sk__4 @ sk__5,
inference(clc,[status(thm)],[zip_derived_cl13,zip_derived_cl85]) ).
thf(zip_derived_cl97,plain,
( ( in @ sk__4 @ ( singleton @ sk__6 ) )
| ( sk__4 = sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl89]) ).
thf(d1_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( singleton @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( C = A ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X1
!= ( singleton @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl79,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl101,plain,
sk__4 = sk__6,
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl79]) ).
thf(zip_derived_cl101_002,plain,
sk__4 = sk__6,
inference(clc,[status(thm)],[zip_derived_cl97,zip_derived_cl79]) ).
thf(zip_derived_cl102,plain,
( ( sk__4 != sk__4 )
| ( in @ sk__4 @ ( set_difference @ sk__5 @ ( singleton @ sk__4 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl101,zip_derived_cl101]) ).
thf(zip_derived_cl103,plain,
in @ sk__4 @ ( set_difference @ sk__5 @ ( singleton @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl102]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X0 @ X2 )
| ( X1
!= ( set_difference @ X3 @ X2 ) ) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
thf(zip_derived_cl80,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X1 @ X0 )
| ~ ( in @ X1 @ ( set_difference @ X2 @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl105,plain,
~ ( in @ sk__4 @ ( singleton @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl80]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 != X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( singleton @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl77,plain,
! [X0: $i] : ( in @ X0 @ ( singleton @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl107,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET921+1 : TPTP v9.2.0. Released v3.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.srKwzUEyyH true
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 13:08:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74 % Solved by fo/fo6_bce.sh.
% 0.53/0.74 % BCE start: 16
% 0.53/0.74 % BCE eliminated: 0
% 0.53/0.74 % PE start: 16
% 0.53/0.74 logic: eq
% 0.53/0.74 % PE eliminated: 1
% 0.53/0.74 % done 23 iterations in 0.015s
% 0.53/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.74 % SZS output start Refutation
% See solution above
% 0.53/0.74
% 0.53/0.74
% 0.53/0.74 % Terminating...
% 0.59/0.84 % Runner terminated.
% 0.59/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------