%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU819^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.E71TzQ6Xm4 true
% Computer : n010.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 04:56:39 PM UTC 2025
% Result : Theorem 1.64s 0.77s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 34 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 206 ( 32 equ; 0 cnn)
% Maximal formula atoms : 29 ( 6 avg)
% Number of connectives : 500 ( 26 ~; 30 |; 30 &; 336 @)
% ( 0 <=>; 78 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 97 ( 15 ^; 77 !; 5 ?; 97 :)
% Comments :
%------------------------------------------------------------------------------
thf(stricttotalorderedByIn_type,type,
stricttotalorderedByIn: $i > $o ).
thf(sk__16_type,type,
sk__16: $i > $i ).
thf(nonempty_type,type,
nonempty: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__12_type,type,
sk__12: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(wellorderedByIn_type,type,
wellorderedByIn: $i > $o ).
thf(transitiveset_type,type,
transitiveset: $i > $o ).
thf(sk__15_type,type,
sk__15: $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(setunion_type,type,
setunion: $i > $i ).
thf(setunionTransitive_type,type,
setunionTransitive: $o ).
thf(ordinal_type,type,
ordinal: $i > $o ).
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(setunionTransitive,axiom,
( setunionTransitive
= ( ! [X: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ X )
=> ( transitiveset @ Xx ) )
=> ( transitiveset @ ( setunion @ X ) ) ) ) ) ).
thf('8',plain,
( setunionTransitive
= ( ! [X4: $i] :
( ! [X6: $i] :
( ( in @ X6 @ X4 )
=> ( transitiveset @ X6 ) )
=> ( transitiveset @ ( setunion @ X4 ) ) ) ) ),
define([status(thm)]) ).
thf(transitiveset,axiom,
( transitiveset
= ( ^ [A: $i] :
! [X: $i] :
( ( in @ X @ A )
=> ( subset @ X @ A ) ) ) ) ).
thf('9',plain,
( transitiveset
= ( ^ [A: $i] :
! [X: $i] :
( ( in @ X @ A )
=> ( subset @ X @ A ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitiveset]) ).
thf('10',plain,
( transitiveset
= ( ^ [V_1: $i] :
! [X4: $i] :
( ( in @ X4 @ V_1 )
=> ( subset @ X4 @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(setunionOrdinalLem1,conjecture,
( setunionTransitive
=> ! [X: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ X )
=> ( ordinal @ Xx ) )
=> ( transitiveset @ ( setunion @ X ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i] :
( ! [X6: $i] :
( ( in @ X6 @ X4 )
=> ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( subset @ X8 @ X6 ) ) )
=> ! [X10: $i] :
( ( in @ X10 @ ( setunion @ X4 ) )
=> ( subset @ X10 @ ( setunion @ X4 ) ) ) )
=> ! [X12: $i] :
( ! [X14: $i] :
( ( in @ X14 @ X12 )
=> ( ! [X16: $i] :
( ( in @ X16 @ X14 )
=> ( subset @ X16 @ X14 ) )
& ! [X18: $i] :
( ( in @ X18 @ X14 )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ! [X22: $i] :
( ( in @ X22 @ X14 )
=> ( ( ( in @ X18 @ X20 )
& ( in @ X20 @ X22 ) )
=> ( in @ X18 @ X22 ) ) ) ) )
& ! [X24: $i] :
( ( in @ X24 @ X14 )
=> ! [X26: $i] :
( ( in @ X26 @ X14 )
=> ( ( X24 = X26 )
| ( in @ X24 @ X26 )
| ( in @ X26 @ X24 ) ) ) )
& ! [X28: $i] :
( ( in @ X28 @ X14 )
=> ~ ( in @ X28 @ X28 ) )
& ! [X30: $i] :
( ( in @ X30 @ ( powerset @ X14 ) )
=> ( ( X30 != emptyset )
=> ? [X32: $i] :
( ! [X34: $i] :
( ( in @ X34 @ X30 )
=> ( ( X32 = X34 )
| ( in @ X32 @ X34 ) ) )
& ( in @ X32 @ X30 ) ) ) ) ) )
=> ! [X36: $i] :
( ( in @ X36 @ ( setunion @ X12 ) )
=> ( subset @ X36 @ ( setunion @ X12 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i] :
( ! [X6: $i] :
( ( in @ X6 @ X4 )
=> ! [X8: $i] :
( ( in @ X8 @ X6 )
=> ( subset @ X8 @ X6 ) ) )
=> ! [X10: $i] :
( ( in @ X10 @ ( setunion @ X4 ) )
=> ( subset @ X10 @ ( setunion @ X4 ) ) ) )
=> ! [X12: $i] :
( ! [X14: $i] :
( ( in @ X14 @ X12 )
=> ( ! [X16: $i] :
( ( in @ X16 @ X14 )
=> ( subset @ X16 @ X14 ) )
& ! [X18: $i] :
( ( in @ X18 @ X14 )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ! [X22: $i] :
( ( in @ X22 @ X14 )
=> ( ( ( in @ X18 @ X20 )
& ( in @ X20 @ X22 ) )
=> ( in @ X18 @ X22 ) ) ) ) )
& ! [X24: $i] :
( ( in @ X24 @ X14 )
=> ! [X26: $i] :
( ( in @ X26 @ X14 )
=> ( ( X24 = X26 )
| ( in @ X24 @ X26 )
| ( in @ X26 @ X24 ) ) ) )
& ! [X28: $i] :
( ( in @ X28 @ X14 )
=> ~ ( in @ X28 @ X28 ) )
& ! [X30: $i] :
( ( in @ X30 @ ( powerset @ X14 ) )
=> ( ( X30 != emptyset )
=> ? [X32: $i] :
( ! [X34: $i] :
( ( in @ X34 @ X30 )
=> ( ( X32 = X34 )
| ( in @ X32 @ X34 ) ) )
& ( in @ X32 @ X30 ) ) ) ) ) )
=> ! [X36: $i] :
( ( in @ X36 @ ( setunion @ X12 ) )
=> ( subset @ X36 @ ( setunion @ X12 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( setunion @ X1 ) )
| ( subset @ X0 @ ( setunion @ X1 ) )
| ~ ( subset @ ( sk__16 @ X1 ) @ ( sk__15 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X2: $i,X3: $i] :
( ~ ( in @ X2 @ X3 )
| ( subset @ X2 @ X3 )
| ~ ( in @ X3 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ ( setunion @ X0 ) )
| ~ ( in @ X1 @ ( setunion @ X0 ) )
| ~ ( in @ ( sk__15 @ X0 ) @ sk__12 )
| ~ ( in @ ( sk__16 @ X0 ) @ ( sk__15 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( setunion @ X1 ) )
| ( subset @ X0 @ ( setunion @ X1 ) )
| ( in @ ( sk__16 @ X1 ) @ ( sk__15 @ X1 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl184,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( sk__15 @ X0 ) @ sk__12 )
| ~ ( in @ X1 @ ( setunion @ X0 ) )
| ( subset @ X1 @ ( setunion @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl29,zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
~ ( subset @ sk__13 @ ( setunion @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl185,plain,
( ~ ( in @ sk__13 @ ( setunion @ sk__12 ) )
| ~ ( in @ ( sk__15 @ sk__12 ) @ sk__12 ) ),
inference('sup-',[status(thm)],[zip_derived_cl184,zip_derived_cl4]) ).
thf(zip_derived_cl3,plain,
in @ sk__13 @ ( setunion @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3_001,plain,
in @ sk__13 @ ( setunion @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ ( setunion @ X1 ) )
| ( subset @ X0 @ ( setunion @ X1 ) )
| ( in @ ( sk__15 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl15,plain,
( ( in @ ( sk__15 @ sk__12 ) @ sk__12 )
| ( subset @ sk__13 @ ( setunion @ sk__12 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl4_002,plain,
~ ( subset @ sk__13 @ ( setunion @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl33,plain,
in @ ( sk__15 @ sk__12 ) @ sk__12,
inference(clc,[status(thm)],[zip_derived_cl15,zip_derived_cl4]) ).
thf(zip_derived_cl191,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl3,zip_derived_cl33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SEU819^2 : TPTP v9.2.0. Released v3.7.0.
% 0.02/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.E71TzQ6Xm4 true
% 0.07/0.29 % Computer : n010.cluster.edu
% 0.07/0.29 % Model : x86_64 x86_64
% 0.07/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.29 % Memory : 8042.1875MB
% 0.07/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.29 % CPULimit : 300
% 0.07/0.29 % WCLimit : 300
% 0.07/0.29 % DateTime : Wed Oct 1 16:08:53 EDT 2025
% 0.07/0.29 % CPUTime :
% 0.07/0.29 % Running portfolio for 300 s
% 0.07/0.29 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.29 % Number of cores: 8
% 0.07/0.29 % Python version: Python 3.6.8
% 0.07/0.29 % Running in HO mode
% 0.64/0.56 % Total configuration time : 828
% 0.64/0.56 % Estimated wc time : 1656
% 0.64/0.56 % Estimated cpu time (8 cpus) : 207.0
% 1.09/0.64 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.09/0.65 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.09/0.65 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.09/0.65 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.23/0.65 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.23/0.65 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.23/0.66 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.23/0.66 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.64/0.77 % Solved by lams/40_c.s.sh.
% 1.64/0.77 % done 55 iterations in 0.082s
% 1.64/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.64/0.77 % SZS output start Refutation
% See solution above
% 1.64/0.77
% 1.64/0.77
% 1.64/0.77 % Terminating...
% 2.35/0.86 % Runner terminated.
% 2.39/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------