%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU817^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.woXAk8Jdh6 true
% Computer : n016.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 Oct 2 04:56:37 PM UTC 2025
% Result : Theorem 0.51s 1.01s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 29 ( 22 unt; 0 typ; 0 def)
% Number of atoms : 189 ( 32 equ; 0 cnn)
% Maximal formula atoms : 27 ( 6 avg)
% Number of connectives : 412 ( 18 ~; 21 |; 30 &; 268 @)
% ( 0 <=>; 75 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 93 ( 15 ^; 73 !; 5 ?; 93 :)
% Comments :
%------------------------------------------------------------------------------
thf(stricttotalorderedByIn_type,type,
stricttotalorderedByIn: $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(subsetE_type,type,
subsetE: $o ).
thf(wellorderedByIn_type,type,
wellorderedByIn: $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(nonempty_type,type,
nonempty: $i > $o ).
thf(transitiveset_type,type,
transitiveset: $i > $o ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(emptyset_type,type,
emptyset: $i ).
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(nonempty,axiom,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ) ).
thf('2',plain,
( nonempty
= ( ^ [Xx: $i] : ( Xx != emptyset ) ) ),
inference(simplify_rw_rule,[status(thm)],[nonempty]) ).
thf('3',plain,
( nonempty
= ( ^ [V_1: $i] : ( V_1 != emptyset ) ) ),
define([status(thm)]) ).
thf('4',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','3']) ).
thf('5',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('6',plain,
( ordinal
= ( ^ [Xx: $i] :
( ( transitiveset @ Xx )
& ( wellorderedByIn @ Xx ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ordinal,'5','1','3']) ).
thf('7',plain,
( ordinal
= ( ^ [V_1: $i] :
( ( transitiveset @ V_1 )
& ( wellorderedByIn @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(transitiveset,axiom,
( transitiveset
= ( ^ [A: $i] :
! [X: $i] :
( ( in @ X @ A )
=> ( subset @ X @ A ) ) ) ) ).
thf('8',plain,
( transitiveset
= ( ^ [A: $i] :
! [X: $i] :
( ( in @ X @ A )
=> ( subset @ X @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitiveset]) ).
thf('9',plain,
( transitiveset
= ( ^ [V_1: $i] :
! [X4: $i] :
( ( in @ X4 @ V_1 )
=> ( subset @ X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(subsetE,axiom,
( subsetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ) ) ).
thf('10',plain,
( subsetE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(ordinalTransSet,conjecture,
( subsetE
=> ! [X: $i] :
( ( ordinal @ X )
=> ! [Xx: $i,A: $i] :
( ( in @ A @ X )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ X ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) )
=> ! [X10: $i] :
( ( ! [X12: $i] :
( ( in @ X12 @ X10 )
=> ( subset @ X12 @ X10 ) )
& ! [X14: $i] :
( ( in @ X14 @ X10 )
=> ! [X16: $i] :
( ( in @ X16 @ X10 )
=> ! [X18: $i] :
( ( in @ X18 @ X10 )
=> ( ( ( in @ X14 @ X16 )
& ( in @ X16 @ X18 ) )
=> ( in @ X14 @ X18 ) ) ) ) )
& ! [X20: $i] :
( ( in @ X20 @ X10 )
=> ! [X22: $i] :
( ( in @ X22 @ X10 )
=> ( ( X20 = X22 )
| ( in @ X20 @ X22 )
| ( in @ X22 @ X20 ) ) ) )
& ! [X24: $i] :
( ( in @ X24 @ X10 )
=> ~ ( in @ X24 @ X24 ) )
& ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X10 ) )
=> ( ( X26 != emptyset )
=> ? [X28: $i] :
( ! [X30: $i] :
( ( in @ X30 @ X26 )
=> ( ( X28 = X30 )
| ( in @ X28 @ X30 ) ) )
& ( in @ X28 @ X26 ) ) ) ) )
=> ! [X32: $i,X34: $i] :
( ( in @ X34 @ X10 )
=> ( ( in @ X32 @ X34 )
=> ( in @ X32 @ X10 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) )
=> ! [X10: $i] :
( ( ! [X12: $i] :
( ( in @ X12 @ X10 )
=> ( subset @ X12 @ X10 ) )
& ! [X14: $i] :
( ( in @ X14 @ X10 )
=> ! [X16: $i] :
( ( in @ X16 @ X10 )
=> ! [X18: $i] :
( ( in @ X18 @ X10 )
=> ( ( ( in @ X14 @ X16 )
& ( in @ X16 @ X18 ) )
=> ( in @ X14 @ X18 ) ) ) ) )
& ! [X20: $i] :
( ( in @ X20 @ X10 )
=> ! [X22: $i] :
( ( in @ X22 @ X10 )
=> ( ( X20 = X22 )
| ( in @ X20 @ X22 )
| ( in @ X22 @ X20 ) ) ) )
& ! [X24: $i] :
( ( in @ X24 @ X10 )
=> ~ ( in @ X24 @ X24 ) )
& ! [X26: $i] :
( ( in @ X26 @ ( powerset @ X10 ) )
=> ( ( X26 != emptyset )
=> ? [X28: $i] :
( ! [X30: $i] :
( ( in @ X30 @ X26 )
=> ( ( X28 = X30 )
| ( in @ X28 @ X30 ) ) )
& ( in @ X28 @ X26 ) ) ) ) )
=> ! [X32: $i,X34: $i] :
( ( in @ X34 @ X10 )
=> ( ( in @ X32 @ X34 )
=> ( in @ X32 @ X10 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
~ ( in @ sk__14 @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
in @ sk__15 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X11: $i] :
( ( subset @ X11 @ sk__13 )
| ~ ( in @ X11 @ sk__13 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ( in @ X2 @ X1 )
| ~ ( in @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ sk__13 )
| ~ ( in @ X1 @ X0 )
| ( in @ X1 @ sk__13 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( in @ X0 @ sk__13 )
| ~ ( in @ X0 @ sk__15 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl12]) ).
thf(zip_derived_cl1,plain,
in @ sk__14 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl20,plain,
in @ sk__14 @ sk__13,
inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl1]) ).
thf(zip_derived_cl24,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.17 % Problem : SEU817^2 : TPTP v9.2.0. Released v3.7.0.
% 0.03/0.18 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.woXAk8Jdh6 true
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8042.1875MB
% 0.11/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Oct 1 16:07:38 EDT 2025
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Running portfolio for 300 s
% 0.11/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39 % Number of cores: 8
% 0.11/0.39 % Python version: Python 3.6.8
% 0.11/0.39 % Running in HO mode
% 0.49/0.73 % Total configuration time : 828
% 0.49/0.73 % Estimated wc time : 1656
% 0.49/0.73 % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.85 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.97 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.98 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/1.01 % Solved by lams/40_c.s.sh.
% 0.51/1.01 % done 11 iterations in 0.025s
% 0.51/1.01 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/1.01 % SZS output start Refutation
% See solution above
% 0.51/1.01
% 0.51/1.01
% 0.51/1.01 % Terminating...
% 0.54/1.13 % Runner terminated.
% 0.54/1.14 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------