%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET927+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.BnushqgNlf true
% Computer : n003.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 04:53:11 PM UTC 2025
% Result : Theorem 0.60s 0.78s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of formulae : 32 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 69 ( 37 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 233 ( 34 ~; 31 |; 3 &; 162 @)
% ( 3 <=>; 0 =>; 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 : 23 ( 0 ^; 23 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__2_type,type,
sk__2: $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(l39_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
= ( singleton @ A ) )
<=> ( ~ ( in @ A @ C )
& ( ( in @ B @ C )
| ( A = B ) ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( set_difference @ ( unordered_pair @ X0 @ X1 ) @ X2 )
= ( singleton @ X0 ) )
| ( X0 != X1 )
| ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[l39_zfmisc_1]) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i] :
( ( in @ X1 @ X0 )
| ( ( set_difference @ ( unordered_pair @ X1 @ X1 ) @ X0 )
= ( singleton @ X1 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl10]) ).
thf(t70_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
= ( singleton @ A ) )
<=> ( ~ ( in @ A @ C )
& ( ( in @ B @ C )
| ( A = B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
= ( singleton @ A ) )
<=> ( ~ ( in @ A @ C )
& ( ( in @ B @ C )
| ( A = B ) ) ) ),
inference('cnf.neg',[status(esa)],[t70_zfmisc_1]) ).
thf(zip_derived_cl5,plain,
( ( sk__2 = sk__3 )
| ( in @ sk__3 @ sk__4 )
| ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
= ( singleton @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( in @ X0 @ X2 )
| ( ( set_difference @ ( unordered_pair @ X1 @ X0 ) @ X2 )
!= ( singleton @ X1 ) ) ),
inference(cnf,[status(esa)],[l39_zfmisc_1]) ).
thf(zip_derived_cl63,plain,
( ( in @ sk__3 @ sk__4 )
| ( sk__2 = sk__3 )
| ( sk__2 = sk__3 )
| ( in @ sk__3 @ sk__4 )
| ( ( singleton @ sk__2 )
!= ( singleton @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl9]) ).
thf(zip_derived_cl66,plain,
( ( sk__2 = sk__3 )
| ( in @ sk__3 @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl6,plain,
( ~ ( in @ sk__3 @ sk__4 )
| ( in @ sk__2 @ sk__4 )
| ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
!= ( singleton @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
( ~ ( in @ sk__2 @ sk__4 )
| ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
= ( singleton @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( ( set_difference @ ( unordered_pair @ X0 @ X2 ) @ X1 )
!= ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[l39_zfmisc_1]) ).
thf(zip_derived_cl56,plain,
~ ( in @ sk__2 @ sk__4 ),
inference(clc,[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).
thf(zip_derived_cl62,plain,
( ~ ( in @ sk__3 @ sk__4 )
| ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
!= ( singleton @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl56]) ).
thf(zip_derived_cl68,plain,
( ( sk__2 = sk__3 )
| ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
!= ( singleton @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl62]) ).
thf(zip_derived_cl7,plain,
( ( sk__2 != sk__3 )
| ( in @ sk__2 @ sk__4 )
| ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
!= ( singleton @ sk__2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl56_001,plain,
~ ( in @ sk__2 @ sk__4 ),
inference(clc,[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).
thf(zip_derived_cl57,plain,
( ( sk__2 != sk__3 )
| ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
!= ( singleton @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl56]) ).
thf(zip_derived_cl69,plain,
( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
!= ( singleton @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl68,zip_derived_cl57]) ).
thf(zip_derived_cl66_002,plain,
( ( sk__2 = sk__3 )
| ( in @ sk__3 @ sk__4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( set_difference @ ( unordered_pair @ X0 @ X1 ) @ X2 )
= ( singleton @ X0 ) )
| ~ ( in @ X1 @ X2 )
| ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[l39_zfmisc_1]) ).
thf(zip_derived_cl69_003,plain,
( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
!= ( singleton @ sk__2 ) ),
inference(clc,[status(thm)],[zip_derived_cl68,zip_derived_cl57]) ).
thf(zip_derived_cl82,plain,
( ( in @ sk__2 @ sk__4 )
| ~ ( in @ sk__3 @ sk__4 )
| ( ( singleton @ sk__2 )
!= ( singleton @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl69]) ).
thf(zip_derived_cl56_004,plain,
~ ( in @ sk__2 @ sk__4 ),
inference(clc,[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).
thf(zip_derived_cl88,plain,
( ~ ( in @ sk__3 @ sk__4 )
| ( ( singleton @ sk__2 )
!= ( singleton @ sk__2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl56]) ).
thf(zip_derived_cl89,plain,
~ ( in @ sk__3 @ sk__4 ),
inference(simplify,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl90,plain,
sk__2 = sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl89]) ).
thf(zip_derived_cl91,plain,
( ( set_difference @ ( unordered_pair @ sk__2 @ sk__2 ) @ sk__4 )
!= ( singleton @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl90]) ).
thf(zip_derived_cl94,plain,
( ( in @ sk__2 @ sk__4 )
| ( ( singleton @ sk__2 )
!= ( singleton @ sk__2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl91]) ).
thf(zip_derived_cl56_005,plain,
~ ( in @ sk__2 @ sk__4 ),
inference(clc,[status(thm)],[zip_derived_cl4,zip_derived_cl8]) ).
thf(zip_derived_cl99,plain,
( ( singleton @ sk__2 )
!= ( singleton @ sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl56]) ).
thf(zip_derived_cl100,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SET927+1 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BnushqgNlf true
% 0.13/0.36 % Computer : n003.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 12:59:38 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.57/0.69 % Total configuration time : 435
% 0.57/0.69 % Estimated wc time : 1092
% 0.57/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.78 % Solved by fo/fo6_bce.sh.
% 0.60/0.78 % BCE start: 12
% 0.60/0.78 % BCE eliminated: 0
% 0.60/0.78 % PE start: 12
% 0.60/0.78 logic: eq
% 0.60/0.78 % PE eliminated: 1
% 0.60/0.78 % done 25 iterations in 0.012s
% 0.60/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.60/0.78 % SZS output start Refutation
% See solution above
% 0.60/0.78
% 0.60/0.78
% 0.60/0.78 % Terminating...
% 1.60/0.89 % Runner terminated.
% 1.60/0.91 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------