TSTP Solution File: SET867+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET867+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.BAUle493ex true
% Computer : n012.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 16:16:32 EDT 2023
% Result : Theorem 0.21s 0.76s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 7 unt; 5 typ; 0 def)
% Number of atoms : 22 ( 9 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 56 ( 10 ~; 5 |; 1 &; 37 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 0 ^; 15 !; 1 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(empty_set_type,type,
empty_set: $i ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(union_type,type,
union: $i > $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(d1_xboole_0,axiom,
! [A: $i] :
( ( A = empty_set )
<=> ! [B: $i] :
~ ( in @ B @ A ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( in @ ( sk_ @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(d4_tarski,axiom,
! [A: $i,B: $i] :
( ( B
= ( union @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ? [D: $i] :
( ( in @ D @ A )
& ( in @ C @ D ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ ( sk__3 @ X0 @ X2 ) @ X2 )
| ( X1
!= ( union @ X2 ) ) ),
inference(cnf,[status(esa)],[d4_tarski]) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__3 @ X1 @ X0 ) @ X0 )
| ~ ( in @ X1 @ ( union @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( X1 != empty_set ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl64,plain,
! [X0: $i] :
~ ( in @ X0 @ empty_set ),
inference(eq_res,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl86,plain,
! [X0: $i] :
~ ( in @ X0 @ ( union @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl64]) ).
thf(zip_derived_cl99,plain,
( ( union @ empty_set )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl86]) ).
thf(t2_zfmisc_1,conjecture,
( ( union @ empty_set )
= empty_set ) ).
thf(zf_stmt_0,negated_conjecture,
( ( union @ empty_set )
!= empty_set ),
inference('cnf.neg',[status(esa)],[t2_zfmisc_1]) ).
thf(zip_derived_cl12,plain,
( ( union @ empty_set )
!= empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl103,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl99,zip_derived_cl12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET867+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.BAUle493ex true
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 14:52:40 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % Solved by fo/fo6_bce.sh.
% 0.21/0.76 % BCE start: 13
% 0.21/0.76 % BCE eliminated: 0
% 0.21/0.76 % PE start: 13
% 0.21/0.76 logic: eq
% 0.21/0.76 % PE eliminated: 1
% 0.21/0.76 % done 22 iterations in 0.028s
% 0.21/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.76 % SZS output start Refutation
% See solution above
% 0.21/0.76
% 0.21/0.76
% 0.21/0.76 % Terminating...
% 1.15/0.85 % Runner terminated.
% 1.56/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------