TSTP Solution File: SEU712^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU712^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LtafXbmSsE true
% Computer : n024.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 19:16:30 EDT 2023
% Result : Theorem 1.32s 0.78s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 31 ( 8 unt; 7 typ; 0 def)
% Number of atoms : 76 ( 4 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 274 ( 10 ~; 19 |; 0 &; 220 @)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 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 : 55 ( 0 ^; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(powersetI_type,type,
powersetI: $o ).
thf(powersetE_type,type,
powersetE: $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__8_type,type,
sk__8: $i > $i > $i ).
thf(powersetE,axiom,
( powersetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) ) ) ).
thf('0',plain,
( powersetE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X6 @ ( powerset @ X4 ) )
=> ( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(powersetI,axiom,
( powersetI
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( in @ B @ ( powerset @ A ) ) ) ) ) ).
thf('1',plain,
( powersetI
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(powersetT_lem,conjecture,
( powersetI
=> ( powersetE
=> ! [A: $i,X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ( in @ ( powerset @ X ) @ ( powerset @ ( powerset @ A ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ( ( in @ X14 @ X12 )
=> ( in @ X14 @ X10 ) ) )
=> ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ( in @ ( powerset @ X18 ) @ ( powerset @ ( powerset @ X16 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( in @ X12 @ ( powerset @ X10 ) )
=> ( ( in @ X14 @ X12 )
=> ( in @ X14 @ X10 ) ) )
=> ! [X16: $i,X18: $i] :
( ( in @ X18 @ ( powerset @ X16 ) )
=> ( in @ ( powerset @ X18 ) @ ( powerset @ ( powerset @ X16 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( in @ ( powerset @ sk__7 ) @ ( powerset @ ( powerset @ sk__6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
| ~ ( in @ ( sk__8 @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
| ~ ( in @ ( sk__8 @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
| ( in @ ( sk__8 @ X0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1_002,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
| ( in @ ( sk__8 @ X0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( in @ X2 @ ( powerset @ X3 ) )
| ( in @ X4 @ X3 )
| ~ ( in @ X4 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( powerset @ X0 ) @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( sk__8 @ ( powerset @ X0 ) @ X1 ) )
| ( in @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ ( sk__8 @ ( powerset @ X1 ) @ X0 ) @ ( powerset @ X2 ) )
| ( in @ ( sk__8 @ ( sk__8 @ ( powerset @ X1 ) @ X0 ) @ X2 ) @ X1 )
| ( in @ ( powerset @ X1 ) @ ( powerset @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl13]) ).
thf(zip_derived_cl3,plain,
in @ sk__7 @ ( powerset @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4_003,plain,
! [X2: $i,X3: $i,X4: $i] :
( ~ ( in @ X2 @ ( powerset @ X3 ) )
| ( in @ X4 @ X3 )
| ~ ( in @ X4 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__7 )
| ( in @ X0 @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl4]) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] :
( ( in @ ( powerset @ sk__7 ) @ ( powerset @ X1 ) )
| ( in @ ( sk__8 @ ( powerset @ sk__7 ) @ X1 ) @ ( powerset @ X0 ) )
| ( in @ ( sk__8 @ ( sk__8 @ ( powerset @ sk__7 ) @ X1 ) @ X0 ) @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl14]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ( in @ ( sk__8 @ ( powerset @ sk__7 ) @ X0 ) @ ( powerset @ sk__6 ) )
| ( in @ ( sk__8 @ ( powerset @ sk__7 ) @ X0 ) @ ( powerset @ sk__6 ) )
| ( in @ ( powerset @ sk__7 ) @ ( powerset @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl37]) ).
thf(zip_derived_cl55,plain,
! [X0: $i] :
( ( in @ ( powerset @ sk__7 ) @ ( powerset @ X0 ) )
| ( in @ ( sk__8 @ ( powerset @ sk__7 ) @ X0 ) @ ( powerset @ sk__6 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl61,plain,
( ( in @ ( powerset @ sk__7 ) @ ( powerset @ ( powerset @ sk__6 ) ) )
| ( in @ ( powerset @ sk__7 ) @ ( powerset @ ( powerset @ sk__6 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl55]) ).
thf(zip_derived_cl65,plain,
in @ ( powerset @ sk__7 ) @ ( powerset @ ( powerset @ sk__6 ) ),
inference(simplify,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl69,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU712^2 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LtafXbmSsE true
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 18:47:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.32/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.32/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.32/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.32/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.32/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.32/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.32/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.32/0.78 % Solved by lams/40_c.s.sh.
% 1.32/0.78 % done 31 iterations in 0.022s
% 1.32/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.32/0.78 % SZS output start Refutation
% See solution above
% 1.32/0.78
% 1.32/0.78
% 1.32/0.78 % Terminating...
% 1.67/0.86 % Runner terminated.
% 1.67/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------