TSTP Solution File: SET904+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET904+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ObBTQicUHq true
% Computer : n008.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 16:16:44 EDT 2023
% Result : Theorem 0.20s 0.70s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 21 ( 7 unt; 6 typ; 0 def)
% Number of atoms : 25 ( 9 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 100 ( 9 ~; 7 |; 0 &; 81 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(set_union2_type,type,
set_union2: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(t45_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ( subset @ ( set_union2 @ ( singleton @ A ) @ B ) @ B )
=> ( in @ A @ B ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( subset @ ( set_union2 @ ( singleton @ A ) @ B ) @ B )
=> ( in @ A @ B ) ),
inference('cnf.neg',[status(esa)],[t45_zfmisc_1]) ).
thf(zip_derived_cl9,plain,
~ ( in @ sk__2 @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
subset @ ( set_union2 @ ( singleton @ sk__2 ) @ sk__3 ) @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(l21_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( subset @ ( set_union2 @ ( singleton @ A ) @ B ) @ B )
=> ( in @ A @ B ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ~ ( subset @ ( set_union2 @ ( singleton @ X0 ) @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[l21_zfmisc_1]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ( ( set_union2 @ ( singleton @ sk__2 ) @ sk__3 )
!= ( set_union2 @ ( singleton @ X1 ) @ X0 ) )
| ( sk__3 != X0 )
| ( in @ X1 @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl8,zip_derived_cl10]) ).
thf(commutativity_k2_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_union2 @ A @ B )
= ( set_union2 @ B @ A ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( set_union2 @ X1 @ X0 )
= ( set_union2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i] :
( ( ( set_union2 @ sk__3 @ ( singleton @ sk__2 ) )
!= ( set_union2 @ ( singleton @ X1 ) @ X0 ) )
| ( sk__3 != X0 )
| ( in @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl2]) ).
thf(zip_derived_cl53,plain,
! [X0: $i] :
( ( in @ X0 @ sk__3 )
| ( ( set_union2 @ sk__3 @ ( singleton @ sk__2 ) )
!= ( set_union2 @ ( singleton @ X0 ) @ sk__3 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i,X1: $i] :
( ( set_union2 @ X1 @ X0 )
= ( set_union2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).
thf(zip_derived_cl54,plain,
! [X0: $i] :
( ( in @ X0 @ sk__3 )
| ( ( set_union2 @ sk__3 @ ( singleton @ sk__2 ) )
!= ( set_union2 @ sk__3 @ ( singleton @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl2]) ).
thf(zip_derived_cl65,plain,
in @ sk__2 @ sk__3,
inference(eq_res,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl66,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET904+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ObBTQicUHq true
% 0.13/0.34 % Computer : n008.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 : Sat Aug 26 11:21:17 EDT 2023
% 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
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.70 % Solved by fo/fo6_bce.sh.
% 0.20/0.70 % BCE start: 11
% 0.20/0.70 % BCE eliminated: 0
% 0.20/0.70 % PE start: 11
% 0.20/0.70 logic: eq
% 0.20/0.70 % PE eliminated: 1
% 0.20/0.70 % done 18 iterations in 0.010s
% 0.20/0.70 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.70 % SZS output start Refutation
% See solution above
% 0.20/0.70
% 0.20/0.70
% 0.20/0.70 % Terminating...
% 0.20/0.74 % Runner terminated.
% 0.20/0.75 % Zipperpin 1.5 exiting
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