TSTP Solution File: SET882+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET882+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.J94HJezEY8 true
% Computer : n027.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 16:16:39 EDT 2023
% Result : Theorem 0.23s 0.76s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 5 unt; 6 typ; 0 def)
% Number of atoms : 36 ( 21 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 17 ~; 13 |; 1 &; 72 @)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 22 ( 0 ^; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
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] :
( ( X1 != X0 )
| ( in @ X1 @ X2 )
| ( X2
!= ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl45,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( singleton @ X1 ) )
| ( in @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
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_cl9,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(t23_zfmisc_1,conjecture,
! [A: $i,B: $i] :
( ( A != B )
=> ( ( set_difference @ ( unordered_pair @ A @ B ) @ ( singleton @ B ) )
= ( singleton @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( A != B )
=> ( ( set_difference @ ( unordered_pair @ A @ B ) @ ( singleton @ B ) )
= ( singleton @ A ) ) ),
inference('cnf.neg',[status(esa)],[t23_zfmisc_1]) ).
thf(zip_derived_cl13,plain,
( ( set_difference @ ( unordered_pair @ sk__3 @ sk__4 ) @ ( singleton @ sk__4 ) )
!= ( singleton @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl72,plain,
( ( ( singleton @ sk__3 )
!= ( singleton @ sk__3 ) )
| ( in @ sk__3 @ ( singleton @ sk__4 ) )
| ~ ( in @ sk__4 @ ( singleton @ sk__4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl13]) ).
thf(zip_derived_cl77,plain,
( ~ ( in @ sk__4 @ ( singleton @ sk__4 ) )
| ( in @ sk__3 @ ( singleton @ sk__4 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl79,plain,
( ( ( singleton @ sk__4 )
!= ( singleton @ sk__4 ) )
| ( in @ sk__3 @ ( singleton @ sk__4 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl77]) ).
thf(zip_derived_cl80,plain,
in @ sk__3 @ ( singleton @ sk__4 ),
inference(simplify,[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( X0 = X2 )
| ( X1
!= ( singleton @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
thf(zip_derived_cl83,plain,
! [X0: $i] :
( ( ( singleton @ sk__4 )
!= ( singleton @ X0 ) )
| ( sk__3 = X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl3]) ).
thf(zip_derived_cl84,plain,
sk__3 = sk__4,
inference(eq_res,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl12,plain,
sk__3 != sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl85,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl84,zip_derived_cl12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET882+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.J94HJezEY8 true
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 16:37:05 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.23/0.64 % Total configuration time : 435
% 0.23/0.65 % Estimated wc time : 1092
% 0.23/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76 % Solved by fo/fo3_bce.sh.
% 0.23/0.76 % BCE start: 14
% 0.23/0.76 % BCE eliminated: 0
% 0.23/0.76 % PE start: 14
% 0.23/0.76 logic: eq
% 0.23/0.76 % PE eliminated: 1
% 0.23/0.76 % done 22 iterations in 0.013s
% 0.23/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.23/0.76 % SZS output start Refutation
% See solution above
% 0.23/0.76
% 0.23/0.76
% 0.23/0.76 % Terminating...
% 1.52/0.85 % Runner terminated.
% 1.52/0.86 % Zipperpin 1.5 exiting
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