TSTP Solution File: SEU581^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU581^2 : 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.G2wvq8D3SX true
% Computer : n003.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 19:14:07 EDT 2023
% Result : Theorem 0.20s 0.76s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 22 ( 7 unt; 8 typ; 0 def)
% Number of atoms : 36 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 105 ( 5 ~; 1 |; 0 &; 89 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 37 ( 9 ^; 28 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(powersetE1_type,type,
powersetE1: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(sepInPowerset_type,type,
sepInPowerset: $o ).
thf(sk__5_type,type,
sk__5: $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sepInPowerset,axiom,
( sepInPowerset
= ( ! [A: $i,Xphi: $i > $o] :
( in
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
@ ( powerset @ A ) ) ) ) ).
thf('0',plain,
( sepInPowerset
= ( ! [X4: $i,X6: $i > $o] :
( in
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) )
@ ( powerset @ X4 ) ) ) ),
define([status(thm)]) ).
thf(powersetE1,axiom,
( powersetE1
= ( ! [A: $i,B: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( subset @ B @ A ) ) ) ) ).
thf('1',plain,
( powersetE1
= ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ( subset @ X6 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(sepSubset,conjecture,
( powersetE1
=> ( sepInPowerset
=> ! [A: $i,Xphi: $i > $o] :
( subset
@ ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
@ A ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ( subset @ X6 @ X4 ) )
=> ( ! [X8: $i,X10: $i > $o] :
( in
@ ( dsetconstr @ X8
@ ^ [V_1: $i] : ( X10 @ V_1 ) )
@ ( powerset @ X8 ) )
=> ! [X12: $i,X14: $i > $o] :
( subset
@ ( dsetconstr @ X12
@ ^ [V_2: $i] : ( X14 @ V_2 ) )
@ X12 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ( subset @ X6 @ X4 ) )
=> ( ! [X8: $i,X10: $i > $o] :
( in
@ ( dsetconstr @ X8
@ ^ [V_1: $i] : ( X10 @ V_1 ) )
@ ( powerset @ X8 ) )
=> ! [X12: $i,X14: $i > $o] :
( subset
@ ( dsetconstr @ X12
@ ^ [V_2: $i] : ( X14 @ V_2 ) )
@ X12 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( in @ X0 @ ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( subset
@ ( dsetconstr @ sk__4
@ ^ [Y0: $i] : ( sk__5 @ Y0 ) )
@ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
~ ( subset @ ( dsetconstr @ sk__4 @ sk__5 ) @ sk__4 ),
inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
~ ( in @ ( dsetconstr @ sk__4 @ sk__5 ) @ ( powerset @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
thf(zip_derived_cl2,plain,
! [X2: $i,X3: $i > $o] :
( in
@ ( dsetconstr @ X2
@ ^ [Y0: $i] : ( X3 @ Y0 ) )
@ ( powerset @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X2: $i,X3: $i > $o] : ( in @ ( dsetconstr @ X2 @ X3 ) @ ( powerset @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU581^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.G2wvq8D3SX true
% 0.13/0.35 % Computer : n003.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 : Thu Aug 24 01:01:37 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
% 0.19/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in HO mode
% 0.20/0.65 % Total configuration time : 828
% 0.20/0.65 % Estimated wc time : 1656
% 0.20/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.76 % Solved by lams/40_c.s.sh.
% 0.20/0.76 % done 2 iterations in 0.010s
% 0.20/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.76 % SZS output start Refutation
% See solution above
% 0.20/0.76
% 0.20/0.76
% 0.20/0.76 % Terminating...
% 1.32/0.86 % Runner terminated.
% 1.32/0.87 % Zipperpin 1.5 exiting
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