TSTP Solution File: SEU519^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU519^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FPmxzY7OhQ true
% Computer : n032.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 19:13:30 EDT 2023
% Result : Theorem 0.13s 0.57s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of formulae : 20 ( 9 unt; 7 typ; 0 def)
% Number of atoms : 36 ( 4 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 87 ( 3 ~; 3 |; 0 &; 63 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(powersetI_type,type,
powersetI: $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(emptysetE_type,type,
emptysetE: $o ).
thf(emptyset_type,type,
emptyset: $i ).
thf(powersetI,axiom,
( powersetI
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) ) ) ).
thf('0',plain,
( powersetI
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(emptysetE,axiom,
( emptysetE
= ( ! [Xx: $i] :
( ( in @ Xx @ emptyset )
=> ! [Xphi: $o] : Xphi ) ) ) ).
thf('1',plain,
( emptysetE
= ( ! [X4: $i] :
( ( in @ X4 @ emptyset )
=> ! [X6: $o] : X6 ) ) ),
define([status(thm)]) ).
thf(emptyinPowerset,conjecture,
( emptysetE
=> ( powersetI
=> ! [A: $i] : ( in @ emptyset @ ( powerset @ A ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i] :
( ( in @ X4 @ emptyset )
=> ! [X6: $o] : X6 )
=> ( ! [X8: $i,X10: $i] :
( ! [X12: $i] :
( ( in @ X12 @ X10 )
=> ( in @ X12 @ X8 ) )
=> ( in @ X10 @ ( powerset @ X8 ) ) )
=> ! [X14: $i] : ( in @ emptyset @ ( powerset @ X14 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i] :
( ( in @ X4 @ emptyset )
=> ! [X6: $o] : X6 )
=> ( ! [X8: $i,X10: $i] :
( ! [X12: $i] :
( ( in @ X12 @ X10 )
=> ( in @ X12 @ X8 ) )
=> ( in @ X10 @ ( powerset @ X8 ) ) )
=> ! [X14: $i] : ( in @ emptyset @ ( powerset @ X14 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( in @ emptyset @ ( powerset @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X2: $i,X3: $i] :
( ( in @ X2 @ ( powerset @ X3 ) )
| ( in @ ( sk__5 @ X2 @ X3 ) @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $o,X1: $i] :
( X0
| ~ ( in @ X1 @ emptyset ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $o] :
( ( in @ emptyset @ ( powerset @ X0 ) )
| X1 ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] : ( in @ emptyset @ ( powerset @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU519^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.09 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FPmxzY7OhQ true
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Wed Aug 23 13:24:41 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % Running portfolio for 300 s
% 0.08/0.28 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.28 % Number of cores: 8
% 0.08/0.28 % Python version: Python 3.6.8
% 0.08/0.28 % Running in HO mode
% 0.13/0.50 % Total configuration time : 828
% 0.13/0.50 % Estimated wc time : 1656
% 0.13/0.50 % Estimated cpu time (8 cpus) : 207.0
% 0.13/0.54 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.13/0.54 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.13/0.54 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.13/0.54 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.13/0.54 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.13/0.54 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.13/0.55 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.13/0.56 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.13/0.57 % Solved by lams/40_c_ic.sh.
% 0.13/0.57 % done 3 iterations in 0.007s
% 0.13/0.57 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.13/0.57 % SZS output start Refutation
% See solution above
% 0.13/0.57
% 0.13/0.57
% 0.13/0.57 % Terminating...
% 0.13/0.59 % Runner terminated.
% 0.13/0.60 % Zipperpin 1.5 exiting
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