TSTP Solution File: SEU579^2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU579^2 : 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.JEH9XR9vWb 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 19:14:06 EDT 2023
% Result : Theorem 0.21s 0.77s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 21
% Syntax : Number of formulae : 46 ( 12 unt; 11 typ; 0 def)
% Number of atoms : 127 ( 8 equ; 0 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 394 ( 15 ~; 29 |; 0 &; 303 @)
% ( 0 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 91 ( 0 ^; 91 !; 0 ?; 91 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__15_type,type,
sk__15: $i > $i > $i ).
thf(subsetI2_type,type,
subsetI2: $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(subsetE_type,type,
subsetE: $o ).
thf(powersetI_type,type,
powersetI: $o ).
thf(powersetE_type,type,
powersetE: $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__14_type,type,
sk__14: $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(subsetE,axiom,
( subsetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ) ) ).
thf('0',plain,
( subsetE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(subsetI2,axiom,
( subsetI2
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('1',plain,
( subsetI2
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(powersetE,axiom,
( powersetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( in @ B @ ( powerset @ A ) )
=> ( ( in @ Xx @ B )
=> ( in @ Xx @ A ) ) ) ) ) ).
thf('2',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('3',plain,
( powersetI
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( in @ X8 @ X4 ) )
=> ( in @ X6 @ ( powerset @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(powersetsubset,conjecture,
( powersetI
=> ( powersetE
=> ( subsetI2
=> ( subsetE
=> ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ) ) ) ) ) ).
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] :
( ! [X20: $i] :
( ( in @ X20 @ X16 )
=> ( in @ X20 @ X18 ) )
=> ( subset @ X16 @ X18 ) )
=> ( ! [X22: $i,X24: $i,X26: $i] :
( ( subset @ X22 @ X24 )
=> ( ( in @ X26 @ X22 )
=> ( in @ X26 @ X24 ) ) )
=> ! [X28: $i,X30: $i] :
( ( subset @ X28 @ X30 )
=> ( subset @ ( powerset @ X28 ) @ ( powerset @ X30 ) ) ) ) ) ) ) ).
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] :
( ! [X20: $i] :
( ( in @ X20 @ X16 )
=> ( in @ X20 @ X18 ) )
=> ( subset @ X16 @ X18 ) )
=> ( ! [X22: $i,X24: $i,X26: $i] :
( ( subset @ X22 @ X24 )
=> ( ( in @ X26 @ X22 )
=> ( in @ X26 @ X24 ) ) )
=> ! [X28: $i,X30: $i] :
( ( subset @ X28 @ X30 )
=> ( subset @ ( powerset @ X28 ) @ ( powerset @ X30 ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
~ ( subset @ ( powerset @ sk__12 ) @ ( powerset @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
! [X2: $i,X3: $i] :
( ( subset @ X2 @ X3 )
| ~ ( in @ ( sk__14 @ X3 @ X2 ) @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ ( powerset @ X1 ) )
| ~ ( in @ ( sk__15 @ 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__15 @ X0 @ X1 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2_001,plain,
! [X2: $i,X3: $i] :
( ( subset @ X2 @ X3 )
| ~ ( in @ ( sk__14 @ X3 @ X2 ) @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
subset @ sk__12 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
! [X4: $i,X5: $i,X6: $i] :
( ~ ( subset @ X4 @ X5 )
| ( in @ X6 @ X5 )
| ~ ( in @ X6 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__12 )
| ( in @ X0 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( subset @ X0 @ sk__13 )
| ~ ( in @ ( sk__14 @ sk__13 @ X0 ) @ sk__12 ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).
thf(zip_derived_cl3,plain,
! [X2: $i,X3: $i] :
( ( subset @ X2 @ X3 )
| ( in @ ( sk__14 @ X3 @ X2 ) @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3_002,plain,
! [X2: $i,X3: $i] :
( ( subset @ X2 @ X3 )
| ( in @ ( sk__14 @ X3 @ X2 ) @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
! [X7: $i,X8: $i,X9: $i] :
( ~ ( in @ X7 @ ( powerset @ X8 ) )
| ( in @ X9 @ X8 )
| ~ ( in @ X9 @ X7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( powerset @ X0 ) @ X1 )
| ~ ( in @ X2 @ ( sk__14 @ X1 @ ( powerset @ X0 ) ) )
| ( in @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl7]) ).
thf(zip_derived_cl63,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( sk__14 @ X1 @ ( powerset @ X0 ) ) @ X2 )
| ( in @ ( sk__14 @ X2 @ ( sk__14 @ X1 @ ( powerset @ X0 ) ) ) @ X0 )
| ( subset @ ( powerset @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl53]) ).
thf(zip_derived_cl70,plain,
! [X0: $i] :
( ( subset @ ( sk__14 @ X0 @ ( powerset @ sk__12 ) ) @ sk__13 )
| ( subset @ ( powerset @ sk__12 ) @ X0 )
| ( subset @ ( sk__14 @ X0 @ ( powerset @ sk__12 ) ) @ sk__13 ) ),
inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl63]) ).
thf(zip_derived_cl78,plain,
! [X0: $i] :
( ( subset @ ( powerset @ sk__12 ) @ X0 )
| ( subset @ ( sk__14 @ X0 @ ( powerset @ sk__12 ) ) @ sk__13 ) ),
inference(simplify,[status(thm)],[zip_derived_cl70]) ).
thf(zip_derived_cl6_003,plain,
! [X4: $i,X5: $i,X6: $i] :
( ~ ( subset @ X4 @ X5 )
| ( in @ X6 @ X5 )
| ~ ( in @ X6 @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl86,plain,
! [X0: $i,X1: $i] :
( ( subset @ ( powerset @ sk__12 ) @ X0 )
| ~ ( in @ X1 @ ( sk__14 @ X0 @ ( powerset @ sk__12 ) ) )
| ( in @ X1 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl6]) ).
thf(zip_derived_cl96,plain,
! [X0: $i,X1: $i] :
( ( in @ ( sk__14 @ X0 @ ( powerset @ sk__12 ) ) @ ( powerset @ X1 ) )
| ( in @ ( sk__15 @ ( sk__14 @ X0 @ ( powerset @ sk__12 ) ) @ X1 ) @ sk__13 )
| ( subset @ ( powerset @ sk__12 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl86]) ).
thf(zip_derived_cl111,plain,
! [X0: $i] :
( ( in @ ( sk__14 @ X0 @ ( powerset @ sk__12 ) ) @ ( powerset @ sk__13 ) )
| ( subset @ ( powerset @ sk__12 ) @ X0 )
| ( in @ ( sk__14 @ X0 @ ( powerset @ sk__12 ) ) @ ( powerset @ sk__13 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl96]) ).
thf(zip_derived_cl114,plain,
! [X0: $i] :
( ( subset @ ( powerset @ sk__12 ) @ X0 )
| ( in @ ( sk__14 @ X0 @ ( powerset @ sk__12 ) ) @ ( powerset @ sk__13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl120,plain,
( ( subset @ ( powerset @ sk__12 ) @ ( powerset @ sk__13 ) )
| ( subset @ ( powerset @ sk__12 ) @ ( powerset @ sk__13 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl114]) ).
thf(zip_derived_cl124,plain,
subset @ ( powerset @ sk__12 ) @ ( powerset @ sk__13 ),
inference(simplify,[status(thm)],[zip_derived_cl120]) ).
thf(zip_derived_cl128,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU579^2 : TPTP v8.1.2. Released v3.7.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JEH9XR9vWb true
% 0.14/0.35 % Computer : n031.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 : Wed Aug 23 21:49:50 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.21/0.68 % Total configuration time : 828
% 0.21/0.68 % Estimated wc time : 1656
% 0.21/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77 % Solved by lams/40_c.s.sh.
% 0.21/0.77 % done 64 iterations in 0.035s
% 0.21/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.77 % SZS output start Refutation
% See solution above
% 0.21/0.77
% 0.21/0.77
% 0.21/0.77 % Terminating...
% 1.82/0.86 % Runner terminated.
% 1.82/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------