TSTP Solution File: SET929+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET929+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WTjZwRnidy 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 Aug 31 16:16:53 EDT 2023
% Result : Theorem 1.13s 0.79s
% Output : Refutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 7 unt; 8 typ; 0 def)
% Number of atoms : 56 ( 18 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 183 ( 24 ~; 22 |; 3 &; 130 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 35 ( 0 ^; 35 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(t38_zfmisc_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( subset @ ( unordered_pair @ A @ B ) @ C )
<=> ( ( in @ A @ C )
& ( in @ B @ C ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( unordered_pair @ X0 @ X1 ) @ X2 )
| ~ ( in @ X1 @ X2 )
| ~ ( in @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t38_zfmisc_1]) ).
thf(t37_xboole_1,axiom,
! [A: $i,B: $i] :
( ( ( set_difference @ A @ B )
= empty_set )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( ( set_difference @ X0 @ X1 )
= empty_set )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t37_xboole_1]) ).
thf(zip_derived_cl71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ X0 )
| ~ ( in @ X1 @ X0 )
| ( ( set_difference @ ( unordered_pair @ X2 @ X1 ) @ X0 )
= empty_set ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl7]) ).
thf(t73_zfmisc_1,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
= empty_set )
<=> ( ( in @ A @ C )
& ( in @ B @ C ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( set_difference @ ( unordered_pair @ A @ B ) @ C )
= empty_set )
<=> ( ( in @ A @ C )
& ( in @ B @ C ) ) ),
inference('cnf.neg',[status(esa)],[t73_zfmisc_1]) ).
thf(zip_derived_cl13,plain,
( ~ ( in @ sk__3 @ sk__4 )
| ~ ( in @ sk__2 @ sk__4 )
| ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
!= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
( ( in @ sk__2 @ sk__4 )
| ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( ( set_difference @ X0 @ X1 )
!= empty_set ) ),
inference(cnf,[status(esa)],[t37_xboole_1]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X1 )
| ~ ( subset @ ( unordered_pair @ X0 @ X2 ) @ X1 ) ),
inference(cnf,[status(esa)],[t38_zfmisc_1]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( set_difference @ ( unordered_pair @ X2 @ X1 ) @ X0 )
!= empty_set )
| ( in @ X2 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl8]) ).
thf(zip_derived_cl82,plain,
( ( empty_set != empty_set )
| ( in @ sk__2 @ sk__4 )
| ( in @ sk__2 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl69]) ).
thf(zip_derived_cl86,plain,
in @ sk__2 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl97,plain,
( ~ ( in @ sk__3 @ sk__4 )
| ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
!= empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl86]) ).
thf(zip_derived_cl12,plain,
( ( in @ sk__3 @ sk__4 )
| ( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( ( set_difference @ X0 @ X1 )
!= empty_set ) ),
inference(cnf,[status(esa)],[t37_xboole_1]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X0 @ X1 )
| ~ ( subset @ ( unordered_pair @ X2 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[t38_zfmisc_1]) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( set_difference @ ( unordered_pair @ X2 @ X1 ) @ X0 )
!= empty_set )
| ( in @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl9]) ).
thf(zip_derived_cl101,plain,
( ( empty_set != empty_set )
| ( in @ sk__3 @ sk__4 )
| ( in @ sk__3 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl70]) ).
thf(zip_derived_cl105,plain,
in @ sk__3 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl106,plain,
( ( set_difference @ ( unordered_pair @ sk__2 @ sk__3 ) @ sk__4 )
!= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl105]) ).
thf(zip_derived_cl110,plain,
( ( empty_set != empty_set )
| ~ ( in @ sk__3 @ sk__4 )
| ~ ( in @ sk__2 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl106]) ).
thf(zip_derived_cl105_002,plain,
in @ sk__3 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl86_003,plain,
in @ sk__2 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl115,plain,
empty_set != empty_set,
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl105,zip_derived_cl86]) ).
thf(zip_derived_cl116,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET929+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WTjZwRnidy true
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 09:20:59 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.13/0.79 % Solved by fo/fo3_bce.sh.
% 1.13/0.79 % BCE start: 14
% 1.13/0.79 % BCE eliminated: 0
% 1.13/0.79 % PE start: 14
% 1.13/0.79 logic: eq
% 1.13/0.79 % PE eliminated: -1
% 1.13/0.79 % done 22 iterations in 0.015s
% 1.13/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.13/0.79 % SZS output start Refutation
% See solution above
% 1.13/0.79
% 1.13/0.79
% 1.13/0.79 % Terminating...
% 1.45/0.86 % Runner terminated.
% 1.45/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------