%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET879+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.I0CEarcwiT true
% Computer : n020.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 04:53:04 PM UTC 2025
% Result : Theorem 0.60s 0.83s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 30 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 127 ( 20 ~; 16 |; 0 &; 86 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(t20_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ( ( set_difference @ ( singleton @ A ) @ ( singleton @ B ) )
= ( singleton @ A ) )
<=> ( A != B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( ( set_difference @ ( singleton @ A ) @ ( singleton @ B ) )
= ( singleton @ A ) )
<=> ( A != B ) ),
inference('cnf.neg',[status(esa)],[t20_zfmisc_1]) ).
thf(zip_derived_cl9,plain,
( ( sk__3 != sk__4 )
| ( ( set_difference @ ( singleton @ sk__3 ) @ ( singleton @ sk__4 ) )
= ( singleton @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18,plain,
( ( sk__3 != sk__4 )
| ( ( set_difference @ ( singleton @ sk__3 ) @ ( singleton @ sk__3 ) )
= ( singleton @ sk__3 ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl9]) ).
thf(l34_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( ( set_difference @ ( singleton @ A ) @ B )
= ( singleton @ A ) )
<=> ~ ( in @ A @ B ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( ( set_difference @ ( singleton @ X0 ) @ X1 )
= ( singleton @ X0 ) )
| ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[l34_zfmisc_1]) ).
thf(zip_derived_cl10,plain,
( ( sk__3 = sk__4 )
| ( ( set_difference @ ( singleton @ sk__3 ) @ ( singleton @ sk__4 ) )
!= ( singleton @ sk__3 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20,plain,
( ( ( singleton @ sk__3 )
!= ( singleton @ sk__3 ) )
| ( in @ sk__3 @ ( singleton @ sk__4 ) )
| ( sk__3 = sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl10]) ).
thf(zip_derived_cl22,plain,
( ( sk__3 = sk__4 )
| ( in @ sk__3 @ ( singleton @ sk__4 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl20]) ).
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_cl12,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl23,plain,
sk__3 = sk__4,
inference(clc,[status(thm)],[zip_derived_cl22,zip_derived_cl12]) ).
thf(zip_derived_cl24,plain,
( ( sk__3 != sk__3 )
| ( ( set_difference @ ( singleton @ sk__3 ) @ ( singleton @ sk__3 ) )
= ( singleton @ sk__3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl23]) ).
thf(zip_derived_cl25,plain,
( ( set_difference @ ( singleton @ sk__3 ) @ ( singleton @ sk__3 ) )
= ( singleton @ sk__3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( ( set_difference @ ( singleton @ X0 ) @ X1 )
!= ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[l34_zfmisc_1]) ).
thf(zip_derived_cl26,plain,
( ( ( singleton @ sk__3 )
!= ( singleton @ sk__3 ) )
| ~ ( in @ sk__3 @ ( singleton @ sk__3 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl5]) ).
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_cl13,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( singleton @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] : ( in @ X0 @ ( singleton @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl27,plain,
( ( singleton @ sk__3 )
!= ( singleton @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl14]) ).
thf(zip_derived_cl28,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET879+1 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.I0CEarcwiT true
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 13:03:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.58/0.67 % Total configuration time : 435
% 0.58/0.67 % Estimated wc time : 1092
% 0.58/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.83 % Solved by fo/fo7.sh.
% 0.60/0.83 % done 16 iterations in 0.009s
% 0.60/0.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.83 % SZS output start Refutation
% See solution above
% 0.60/0.83
% 0.60/0.83
% 0.60/0.83 % Terminating...
% 0.64/0.88 % Runner terminated.
% 1.79/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------