TSTP Solution File: SET016+4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET016+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.l6OGkM52Kz true
% Computer : n021.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 16:11:45 EDT 2023
% Result : Theorem 0.23s 0.79s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 36 ( 11 unt; 9 typ; 0 def)
% Number of atoms : 48 ( 17 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 174 ( 11 ~; 13 |; 1 &; 142 @)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 41 ( 0 ^; 41 !; 0 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(unordered_pair_type,type,
unordered_pair: $i > $i > $i ).
thf(equal_set_type,type,
equal_set: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(unordered_pair,axiom,
! [X: $i,A: $i,B: $i] :
( ( member @ X @ ( unordered_pair @ A @ B ) )
<=> ( ( X = A )
| ( X = B ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( unordered_pair @ X1 @ X2 ) )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[unordered_pair]) ).
thf(zip_derived_cl169,plain,
! [X0: $i,X1: $i] : ( member @ X1 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl21]) ).
thf(thI50a,conjecture,
! [A: $i,B: $i,U: $i,V: $i] :
( ( equal_set @ ( unordered_pair @ ( singleton @ A ) @ ( unordered_pair @ A @ B ) ) @ ( unordered_pair @ ( singleton @ U ) @ ( unordered_pair @ U @ V ) ) )
=> ( A = U ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,U: $i,V: $i] :
( ( equal_set @ ( unordered_pair @ ( singleton @ A ) @ ( unordered_pair @ A @ B ) ) @ ( unordered_pair @ ( singleton @ U ) @ ( unordered_pair @ U @ V ) ) )
=> ( A = U ) ),
inference('cnf.neg',[status(esa)],[thI50a]) ).
thf(zip_derived_cl29,plain,
equal_set @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ) @ ( unordered_pair @ ( singleton @ sk__5 ) @ ( unordered_pair @ sk__5 @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(equal_set,axiom,
! [A: $i,B: $i] :
( ( equal_set @ A @ B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( equal_set @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_set]) ).
thf(zip_derived_cl155,plain,
subset @ ( unordered_pair @ ( singleton @ sk__5 ) @ ( unordered_pair @ sk__5 @ sk__6 ) ) @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl29,zip_derived_cl4]) ).
thf(subset,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl170,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__5 ) @ ( unordered_pair @ sk__5 @ sk__6 ) ) )
| ( member @ X0 @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl155,zip_derived_cl0]) ).
thf(zip_derived_cl200,plain,
member @ ( singleton @ sk__5 ) @ ( unordered_pair @ ( singleton @ sk__3 ) @ ( unordered_pair @ sk__3 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl169,zip_derived_cl170]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ( X1 = X2 )
| ~ ( member @ X1 @ ( unordered_pair @ X2 @ X0 ) ) ),
inference(cnf,[status(esa)],[unordered_pair]) ).
thf(zip_derived_cl205,plain,
( ( ( singleton @ sk__5 )
= ( unordered_pair @ sk__3 @ sk__4 ) )
| ( ( singleton @ sk__5 )
= ( singleton @ sk__3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl20]) ).
thf(zip_derived_cl169_001,plain,
! [X0: $i,X1: $i] : ( member @ X1 @ ( unordered_pair @ X1 @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl207,plain,
( ( ( singleton @ sk__5 )
= ( singleton @ sk__3 ) )
| ( member @ sk__3 @ ( singleton @ sk__5 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl205,zip_derived_cl169]) ).
thf(singleton,axiom,
! [X: $i,A: $i] :
( ( member @ X @ ( singleton @ A ) )
<=> ( X = A ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[singleton]) ).
thf(zip_derived_cl212,plain,
( ( singleton @ sk__5 )
= ( singleton @ sk__3 ) ),
inference(clc,[status(thm)],[zip_derived_cl207,zip_derived_cl18]) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( member @ X0 @ ( singleton @ X1 ) )
| ( X0 != X1 ) ),
inference(cnf,[status(esa)],[singleton]) ).
thf(zip_derived_cl167,plain,
! [X0: $i] : ( member @ X0 @ ( singleton @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl219,plain,
member @ sk__5 @ ( singleton @ sk__3 ),
inference('s_sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl167]) ).
thf(zip_derived_cl18_002,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( member @ X1 @ ( singleton @ X0 ) ) ),
inference(cnf,[status(esa)],[singleton]) ).
thf(zip_derived_cl223,plain,
sk__5 = sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl18]) ).
thf(zip_derived_cl30,plain,
sk__3 != sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl224,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl223,zip_derived_cl30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET016+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.l6OGkM52Kz true
% 0.14/0.35 % Computer : n021.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 11:11:57 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.23/0.67 % Total configuration time : 435
% 0.23/0.67 % Estimated wc time : 1092
% 0.23/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.79 % Solved by fo/fo6_bce.sh.
% 0.23/0.79 % BCE start: 31
% 0.23/0.79 % BCE eliminated: 0
% 0.23/0.79 % PE start: 31
% 0.23/0.79 logic: eq
% 0.23/0.79 % PE eliminated: 2
% 0.23/0.79 % done 38 iterations in 0.024s
% 0.23/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.23/0.79 % SZS output start Refutation
% See solution above
% 0.23/0.79
% 0.23/0.79
% 0.23/0.79 % Terminating...
% 0.23/0.87 % Runner terminated.
% 0.23/0.88 % Zipperpin 1.5 exiting
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