TSTP Solution File: SEU821^2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU821^2 : 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.ZnpWgKGS55 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 19:18:29 EDT 2023
% Result : Theorem 0.68s 0.76s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 17
% Syntax : Number of formulae : 26 ( 13 unt; 9 typ; 0 def)
% Number of atoms : 137 ( 19 equ; 0 cnn)
% Maximal formula atoms : 22 ( 8 avg)
% Number of connectives : 318 ( 12 ~; 16 |; 30 &; 204 @)
% ( 0 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 9 ^; 47 !; 5 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__9_type,type,
sk__9: $i ).
thf(stricttotalorderedByIn_type,type,
stricttotalorderedByIn: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(nonempty_type,type,
nonempty: $i > $o ).
thf(transitiveset_type,type,
transitiveset: $i > $o ).
thf(sk__10_type,type,
sk__10: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(wellorderedByIn_type,type,
wellorderedByIn: $i > $o ).
thf(ordinal,axiom,
( ordinal
= ( ^ [Xx: $i] :
( ( transitiveset @ Xx )
& ( wellorderedByIn @ Xx ) ) ) ) ).
thf(wellorderedByIn,axiom,
( wellorderedByIn
= ( ^ [A: $i] :
( ( stricttotalorderedByIn @ A )
& ! [X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ( ( nonempty @ X )
=> ? [Xx: $i] :
( ! [Y: $i] :
( ( in @ Y @ X )
=> ( ( Xx = Y )
| ( in @ Xx @ Y ) ) )
& ( in @ Xx @ X ) ) ) ) ) ) ) ).
thf(stricttotalorderedByIn,axiom,
( stricttotalorderedByIn
= ( ^ [A: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [X: $i] :
( ( in @ X @ A )
=> ! [Y: $i] :
( ( in @ Y @ A )
=> ( ( ( in @ Xx @ X )
& ( in @ X @ Y ) )
=> ( in @ Xx @ Y ) ) ) ) )
& ! [X: $i] :
( ( in @ X @ A )
=> ! [Y: $i] :
( ( in @ Y @ A )
=> ( ( X = Y )
| ( in @ X @ Y )
| ( in @ Y @ X ) ) ) )
& ! [X: $i] :
( ( in @ X @ A )
=> ~ ( in @ X @ X ) ) ) ) ) ).
thf('0',plain,
( stricttotalorderedByIn
= ( ^ [A: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [X: $i] :
( ( in @ X @ A )
=> ! [Y: $i] :
( ( in @ Y @ A )
=> ( ( ( in @ Xx @ X )
& ( in @ X @ Y ) )
=> ( in @ Xx @ Y ) ) ) ) )
& ! [X: $i] :
( ( in @ X @ A )
=> ! [Y: $i] :
( ( in @ Y @ A )
=> ( ( X = Y )
| ( in @ X @ Y )
| ( in @ Y @ X ) ) ) )
& ! [X: $i] :
( ( in @ X @ A )
=> ~ ( in @ X @ X ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[stricttotalorderedByIn]) ).
thf('1',plain,
( stricttotalorderedByIn
= ( ^ [V_1: $i] :
( ! [X4: $i] :
( ( in @ X4 @ V_1 )
=> ! [X6: $i] :
( ( in @ X6 @ V_1 )
=> ! [X8: $i] :
( ( in @ X8 @ V_1 )
=> ( ( ( in @ X4 @ X6 )
& ( in @ X6 @ X8 ) )
=> ( in @ X4 @ X8 ) ) ) ) )
& ! [X10: $i] :
( ( in @ X10 @ V_1 )
=> ! [X12: $i] :
( ( in @ X12 @ V_1 )
=> ( ( X10 = X12 )
| ( in @ X10 @ X12 )
| ( in @ X12 @ X10 ) ) ) )
& ! [X14: $i] :
( ( in @ X14 @ V_1 )
=> ~ ( in @ X14 @ X14 ) ) ) ) ),
define([status(thm)]) ).
thf('2',plain,
( wellorderedByIn
= ( ^ [A: $i] :
( ( stricttotalorderedByIn @ A )
& ! [X: $i] :
( ( in @ X @ ( powerset @ A ) )
=> ( ( nonempty @ X )
=> ? [Xx: $i] :
( ! [Y: $i] :
( ( in @ Y @ X )
=> ( ( Xx = Y )
| ( in @ Xx @ Y ) ) )
& ( in @ Xx @ X ) ) ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[wellorderedByIn,'1']) ).
thf('3',plain,
( wellorderedByIn
= ( ^ [V_1: $i] :
( ( stricttotalorderedByIn @ V_1 )
& ! [X4: $i] :
( ( in @ X4 @ ( powerset @ V_1 ) )
=> ( ( nonempty @ X4 )
=> ? [X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 = X8 )
| ( in @ X6 @ X8 ) ) )
& ( in @ X6 @ X4 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf('4',plain,
( ordinal
= ( ^ [Xx: $i] :
( ( transitiveset @ Xx )
& ( wellorderedByIn @ Xx ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ordinal,'3','1']) ).
thf('5',plain,
( ordinal
= ( ^ [V_1: $i] :
( ( transitiveset @ V_1 )
& ( wellorderedByIn @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(ordinalIrrefl,conjecture,
! [X: $i] :
( ( ordinal @ X )
=> ! [A: $i] :
( ( in @ A @ X )
=> ~ ( in @ A @ A ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ( ( transitiveset @ X4 )
& ! [X6: $i] :
( ( in @ X6 @ X4 )
=> ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ( ( in @ X6 @ X8 )
& ( in @ X8 @ X10 ) )
=> ( in @ X6 @ X10 ) ) ) ) )
& ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ! [X14: $i] :
( ( in @ X14 @ X4 )
=> ( ( X12 = X14 )
| ( in @ X12 @ X14 )
| ( in @ X14 @ X12 ) ) ) )
& ! [X16: $i] :
( ( in @ X16 @ X4 )
=> ~ ( in @ X16 @ X16 ) )
& ! [X18: $i] :
( ( in @ X18 @ ( powerset @ X4 ) )
=> ( ( nonempty @ X18 )
=> ? [X20: $i] :
( ! [X22: $i] :
( ( in @ X22 @ X18 )
=> ( ( X20 = X22 )
| ( in @ X20 @ X22 ) ) )
& ( in @ X20 @ X18 ) ) ) ) )
=> ! [X24: $i] :
( ( in @ X24 @ X4 )
=> ~ ( in @ X24 @ X24 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ( ( transitiveset @ X4 )
& ! [X6: $i] :
( ( in @ X6 @ X4 )
=> ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ( ( in @ X6 @ X8 )
& ( in @ X8 @ X10 ) )
=> ( in @ X6 @ X10 ) ) ) ) )
& ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ! [X14: $i] :
( ( in @ X14 @ X4 )
=> ( ( X12 = X14 )
| ( in @ X12 @ X14 )
| ( in @ X14 @ X12 ) ) ) )
& ! [X16: $i] :
( ( in @ X16 @ X4 )
=> ~ ( in @ X16 @ X16 ) )
& ! [X18: $i] :
( ( in @ X18 @ ( powerset @ X4 ) )
=> ( ( nonempty @ X18 )
=> ? [X20: $i] :
( ! [X22: $i] :
( ( in @ X22 @ X18 )
=> ( ( X20 = X22 )
| ( in @ X20 @ X22 ) ) )
& ( in @ X20 @ X18 ) ) ) ) )
=> ! [X24: $i] :
( ( in @ X24 @ X4 )
=> ~ ( in @ X24 @ X24 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
in @ sk__10 @ sk__10,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X5: $i] :
( ~ ( in @ X5 @ X5 )
| ~ ( in @ X5 @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
~ ( in @ sk__10 @ sk__9 ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
in @ sk__10 @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SEU821^2 : TPTP v8.1.2. Released v3.7.0.
% 0.13/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZnpWgKGS55 true
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 23 14:54:05 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in HO mode
% 0.23/0.69 % Total configuration time : 828
% 0.23/0.69 % Estimated wc time : 1656
% 0.23/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.68/0.76 % Solved by lams/40_c.s.sh.
% 0.68/0.76 % done 3 iterations in 0.011s
% 0.68/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.68/0.76 % SZS output start Refutation
% See solution above
% 0.68/0.76
% 0.68/0.76
% 0.68/0.76 % Terminating...
% 1.55/0.79 % Runner terminated.
% 1.55/0.80 % Zipperpin 1.5 exiting
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