TSTP Solution File: SEU317+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU317+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bix7yd9v84 true
% Computer : n031.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 19:12:05 EDT 2023
% Result : Theorem 1.31s 1.41s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 37 ( 7 unt; 12 typ; 0 def)
% Number of atoms : 78 ( 0 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 322 ( 40 ~; 39 |; 1 &; 229 @)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 47 ( 0 ^; 47 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
thf(element_type,type,
element: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(topstr_closure_type,type,
topstr_closure: $i > $i > $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(top_str_type,type,
top_str: $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__7_type,type,
sk__7: $i > $i > $i > $i ).
thf(closed_subset_type,type,
closed_subset: $i > $i > $o ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(t48_pre_topc,conjecture,
! [A: $i] :
( ( top_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( subset @ B @ ( topstr_closure @ A @ B ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( top_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( subset @ B @ ( topstr_closure @ A @ B ) ) ) ),
inference('cnf.neg',[status(esa)],[t48_pre_topc]) ).
thf(zip_derived_cl81,plain,
~ ( subset @ sk__9 @ ( topstr_closure @ sk__8 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl285,plain,
~ ( in @ ( sk_ @ ( topstr_closure @ sk__8 @ sk__9 ) @ sk__9 ) @ ( topstr_closure @ sk__8 @ sk__9 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl41,zip_derived_cl81]) ).
thf(t45_pre_topc,axiom,
! [A: $i] :
( ( top_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ! [C: $i] :
( ( in @ C @ ( the_carrier @ A ) )
=> ( ( in @ C @ ( topstr_closure @ A @ B ) )
<=> ! [D: $i] :
( ( element @ D @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( ( closed_subset @ D @ A )
& ( subset @ B @ D ) )
=> ( in @ C @ D ) ) ) ) ) ) ) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ~ ( in @ X2 @ ( sk__7 @ X2 @ X0 @ X1 ) )
| ( in @ X2 @ ( topstr_closure @ X1 @ X0 ) )
| ~ ( in @ X2 @ ( the_carrier @ X1 ) )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[t45_pre_topc]) ).
thf(zip_derived_cl77,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ( subset @ X0 @ ( sk__7 @ X2 @ X0 @ X1 ) )
| ( in @ X2 @ ( topstr_closure @ X1 @ X0 ) )
| ~ ( in @ X2 @ ( the_carrier @ X1 ) )
| ~ ( top_str @ X1 ) ),
inference(cnf,[status(esa)],[t45_pre_topc]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( top_str @ X0 )
| ~ ( in @ X2 @ ( the_carrier @ X0 ) )
| ( in @ X2 @ ( topstr_closure @ X0 @ X1 ) )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ( in @ X3 @ ( sk__7 @ X2 @ X1 @ X0 ) )
| ~ ( in @ X3 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl77,zip_derived_cl40]) ).
thf(zip_derived_cl552,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( top_str @ X0 )
| ~ ( in @ X2 @ ( the_carrier @ X0 ) )
| ( in @ X2 @ ( topstr_closure @ X0 @ X1 ) )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ~ ( in @ X2 @ X1 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ( in @ X2 @ ( topstr_closure @ X0 @ X1 ) )
| ~ ( in @ X2 @ ( the_carrier @ X0 ) )
| ~ ( top_str @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl78,zip_derived_cl303]) ).
thf(zip_derived_cl555,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X2 @ X1 )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ( in @ X2 @ ( topstr_closure @ X0 @ X1 ) )
| ~ ( in @ X2 @ ( the_carrier @ X0 ) )
| ~ ( top_str @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl552]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl40_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl299,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X1 @ ( powerset @ X0 ) )
| ( in @ X2 @ X0 )
| ~ ( in @ X2 @ X1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl73,zip_derived_cl40]) ).
thf(zip_derived_cl3865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( top_str @ X0 )
| ( in @ X2 @ ( topstr_closure @ X0 @ X1 ) )
| ~ ( element @ X1 @ ( powerset @ ( the_carrier @ X0 ) ) )
| ~ ( in @ X2 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl555,zip_derived_cl299]) ).
thf(zip_derived_cl3898,plain,
( ~ ( in @ ( sk_ @ ( topstr_closure @ sk__8 @ sk__9 ) @ sk__9 ) @ sk__9 )
| ~ ( element @ sk__9 @ ( powerset @ ( the_carrier @ sk__8 ) ) )
| ~ ( top_str @ sk__8 ) ),
inference('sup+',[status(thm)],[zip_derived_cl285,zip_derived_cl3865]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( in @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl81_002,plain,
~ ( subset @ sk__9 @ ( topstr_closure @ sk__8 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl289,plain,
in @ ( sk_ @ ( topstr_closure @ sk__8 @ sk__9 ) @ sk__9 ) @ sk__9,
inference('dp-resolution',[status(thm)],[zip_derived_cl42,zip_derived_cl81]) ).
thf(zip_derived_cl82,plain,
element @ sk__9 @ ( powerset @ ( the_carrier @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl80,plain,
top_str @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3905,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3898,zip_derived_cl289,zip_derived_cl82,zip_derived_cl80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU317+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bix7yd9v84 true
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 23 12:39:05 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 1.01/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.01/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.22/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.31/1.41 % Solved by fo/fo3_bce.sh.
% 1.31/1.41 % BCE start: 88
% 1.31/1.41 % BCE eliminated: 51
% 1.31/1.41 % PE start: 37
% 1.31/1.41 logic: eq
% 1.31/1.41 % PE eliminated: -8
% 1.31/1.41 % done 698 iterations in 0.650s
% 1.31/1.41 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/1.41 % SZS output start Refutation
% See solution above
% 1.31/1.41
% 1.31/1.41
% 1.31/1.41 % Terminating...
% 5.90/1.48 % Runner terminated.
% 5.90/1.50 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------