%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU824^2 : 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.29HtDzuDV1 true
% Computer : n001.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 04:56:41 PM UTC 2025
% Result : Theorem 33.10s 4.87s
% Output : Refutation 33.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of formulae : 16 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 271 ( 29 equ; 2 cnn)
% Maximal formula atoms : 74 ( 16 avg)
% Number of connectives : 655 ( 11 ~; 27 |; 54 &; 413 @)
% ( 0 <=>; 125 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 8 usr; 5 con; 0-2 aty)
% ( 23 !!; 2 ??; 0 @@+; 0 @@-)
% Number of variables : 121 ( 34 ^; 80 !; 7 ?; 121 :)
% Comments :
%------------------------------------------------------------------------------
thf(stricttotalorderedByIn_type,type,
stricttotalorderedByIn: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(nonempty_type,type,
nonempty: $i > $o ).
thf(ordinalTransSet_type,type,
ordinalTransSet: $o ).
thf(transitiveset_type,type,
transitiveset: $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(wellorderedByIn_type,type,
wellorderedByIn: $i > $o ).
thf(ordinalTransSet,axiom,
( ordinalTransSet
= ( ! [X: $i] :
( ( ordinal @ X )
=> ! [Xx: $i,A: $i] :
( ( in @ A @ X )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ X ) ) ) ) ) ) ).
thf('0',plain,
( ordinalTransSet
= ( ! [X4: $i] :
( ( ordinal @ X4 )
=> ! [X6: $i,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( in @ X6 @ X8 )
=> ( in @ X6 @ X4 ) ) ) ) ) ),
define([status(thm)]) ).
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('1',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('2',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('3',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,'2']) ).
thf('4',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('5',plain,
( ordinal
= ( ^ [Xx: $i] :
( ( transitiveset @ Xx )
& ( wellorderedByIn @ Xx ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[ordinal,'4','2']) ).
thf('6',plain,
( ordinal
= ( ^ [V_1: $i] :
( ( transitiveset @ V_1 )
& ( wellorderedByIn @ V_1 ) ) ) ),
define([status(thm)]) ).
thf(ordinalTransIn,conjecture,
( ordinalTransSet
=> ! [X: $i] :
( ( ordinal @ X )
=> ! [Xx: $i,A: $i,B: $i] :
( ( in @ Xx @ A )
=> ( ( in @ A @ B )
=> ( ( in @ B @ X )
=> ( in @ Xx @ B ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i] :
( ( ! [X18: $i] :
( ( in @ X18 @ ( powerset @ X4 ) )
=> ( ( nonempty @ X18 )
=> ? [X20: $i] :
( ( in @ X20 @ X18 )
& ! [X22: $i] :
( ( in @ X22 @ X18 )
=> ( ( in @ X20 @ X22 )
| ( X20 = X22 ) ) ) ) ) )
& ! [X16: $i] :
( ( in @ X16 @ X4 )
=> ~ ( in @ X16 @ X16 ) )
& ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ! [X14: $i] :
( ( in @ X14 @ X4 )
=> ( ( in @ X14 @ X12 )
| ( in @ X12 @ X14 )
| ( X12 = X14 ) ) ) )
& ! [X6: $i] :
( ( in @ X6 @ X4 )
=> ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ( ( in @ X8 @ X10 )
& ( in @ X6 @ X8 ) )
=> ( in @ X6 @ X10 ) ) ) ) )
& ( transitiveset @ X4 ) )
=> ! [X24: $i,X26: $i] :
( ( in @ X26 @ X4 )
=> ( ( in @ X24 @ X26 )
=> ( in @ X24 @ X4 ) ) ) )
=> ! [X28: $i] :
( ( ! [X42: $i] :
( ( in @ X42 @ ( powerset @ X28 ) )
=> ( ( nonempty @ X42 )
=> ? [X44: $i] :
( ( in @ X44 @ X42 )
& ! [X46: $i] :
( ( in @ X46 @ X42 )
=> ( ( in @ X44 @ X46 )
| ( X44 = X46 ) ) ) ) ) )
& ! [X40: $i] :
( ( in @ X40 @ X28 )
=> ~ ( in @ X40 @ X40 ) )
& ! [X36: $i] :
( ( in @ X36 @ X28 )
=> ! [X38: $i] :
( ( in @ X38 @ X28 )
=> ( ( in @ X38 @ X36 )
| ( in @ X36 @ X38 )
| ( X36 = X38 ) ) ) )
& ! [X30: $i] :
( ( in @ X30 @ X28 )
=> ! [X32: $i] :
( ( in @ X32 @ X28 )
=> ! [X34: $i] :
( ( in @ X34 @ X28 )
=> ( ( ( in @ X32 @ X34 )
& ( in @ X30 @ X32 ) )
=> ( in @ X30 @ X34 ) ) ) ) )
& ( transitiveset @ X28 ) )
=> ! [X48: $i,X50: $i,X52: $i] :
( ( in @ X48 @ X50 )
=> ( ( in @ X50 @ X52 )
=> ( ( in @ X52 @ X28 )
=> ( in @ X48 @ X52 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i] :
( ( ! [X18: $i] :
( ( in @ X18 @ ( powerset @ X4 ) )
=> ( ( nonempty @ X18 )
=> ? [X20: $i] :
( ( in @ X20 @ X18 )
& ! [X22: $i] :
( ( in @ X22 @ X18 )
=> ( ( in @ X20 @ X22 )
| ( X20 = X22 ) ) ) ) ) )
& ! [X16: $i] :
( ( in @ X16 @ X4 )
=> ~ ( in @ X16 @ X16 ) )
& ! [X12: $i] :
( ( in @ X12 @ X4 )
=> ! [X14: $i] :
( ( in @ X14 @ X4 )
=> ( ( in @ X14 @ X12 )
| ( in @ X12 @ X14 )
| ( X12 = X14 ) ) ) )
& ! [X6: $i] :
( ( in @ X6 @ X4 )
=> ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ! [X10: $i] :
( ( in @ X10 @ X4 )
=> ( ( ( in @ X8 @ X10 )
& ( in @ X6 @ X8 ) )
=> ( in @ X6 @ X10 ) ) ) ) )
& ( transitiveset @ X4 ) )
=> ! [X24: $i,X26: $i] :
( ( in @ X26 @ X4 )
=> ( ( in @ X24 @ X26 )
=> ( in @ X24 @ X4 ) ) ) )
=> ! [X28: $i] :
( ( ! [X42: $i] :
( ( in @ X42 @ ( powerset @ X28 ) )
=> ( ( nonempty @ X42 )
=> ? [X44: $i] :
( ( in @ X44 @ X42 )
& ! [X46: $i] :
( ( in @ X46 @ X42 )
=> ( ( in @ X44 @ X46 )
| ( X44 = X46 ) ) ) ) ) )
& ! [X40: $i] :
( ( in @ X40 @ X28 )
=> ~ ( in @ X40 @ X40 ) )
& ! [X36: $i] :
( ( in @ X36 @ X28 )
=> ! [X38: $i] :
( ( in @ X38 @ X28 )
=> ( ( in @ X38 @ X36 )
| ( in @ X36 @ X38 )
| ( X36 = X38 ) ) ) )
& ! [X30: $i] :
( ( in @ X30 @ X28 )
=> ! [X32: $i] :
( ( in @ X32 @ X28 )
=> ! [X34: $i] :
( ( in @ X34 @ X28 )
=> ( ( ( in @ X32 @ X34 )
& ( in @ X30 @ X32 ) )
=> ( in @ X30 @ X34 ) ) ) ) )
& ( transitiveset @ X28 ) )
=> ! [X48: $i,X50: $i,X52: $i] :
( ( in @ X48 @ X50 )
=> ( ( in @ X50 @ X52 )
=> ( ( in @ X52 @ X28 )
=> ( in @ X48 @ X52 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( ( nonempty @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
& ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( ( in @ Y2 @ Y3 )
| ( Y2 = Y3 ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( (~) @ ( in @ Y1 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( in @ Y2 @ Y1 )
| ( in @ Y1 @ Y2 )
| ( Y1 = Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( ( in @ Y2 @ Y3 )
& ( in @ Y1 @ Y2 ) )
=> ( in @ Y1 @ Y3 ) ) ) ) ) ) ) )
& ( transitiveset @ Y0 ) )
=> ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( in @ Y1 @ Y2 )
=> ( in @ Y1 @ Y0 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( ( nonempty @ Y1 )
=> ( ??
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
& ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( ( in @ Y2 @ Y3 )
| ( Y2 = Y3 ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( (~) @ ( in @ Y1 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( in @ Y2 @ Y1 )
| ( in @ Y1 @ Y2 )
| ( Y1 = Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y0 )
=> ( ( ( in @ Y2 @ Y3 )
& ( in @ Y1 @ Y2 ) )
=> ( in @ Y1 @ Y3 ) ) ) ) ) ) ) )
& ( transitiveset @ Y0 ) )
=> ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( in @ Y1 @ Y2 )
=> ( ( in @ Y2 @ Y3 )
=> ( ( in @ Y3 @ Y0 )
=> ( in @ Y1 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1983,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU824^2 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.29HtDzuDV1 true
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:04:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.58/0.72 % Total configuration time : 828
% 0.58/0.72 % Estimated wc time : 1656
% 0.58/0.72 % Estimated cpu time (8 cpus) : 207.0
% 0.63/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.63/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.63/0.83 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.63/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.63/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.63/0.84 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.63/0.84 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.64/0.86 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 33.10/4.87 % Solved by lams/15_e_short1.sh.
% 33.10/4.87 % done 231 iterations in 3.978s
% 33.10/4.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 33.10/4.87 % SZS output start Refutation
% See solution above
% 33.10/4.87
% 33.10/4.87
% 33.10/4.87 % Terminating...
% 33.10/4.95 % Runner terminated.
% 33.10/4.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------