TSTP Solution File: SEU819^2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU819^2 : 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.Rigw8yBP7s true
% Computer : n021.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 19:18:24 EDT 2023
% Result : Theorem 0.21s 0.79s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 29
% Syntax : Number of formulae : 71 ( 23 unt; 15 typ; 0 def)
% Number of atoms : 504 ( 50 equ; 6 cnn)
% Maximal formula atoms : 47 ( 9 avg)
% Number of connectives : 1318 ( 52 ~; 61 |; 66 &; 858 @)
% ( 0 <=>; 188 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 15 usr; 8 con; 0-2 aty)
% ( 87 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 209 ( 108 ^; 96 !; 5 ?; 209 :)
% Comments :
%------------------------------------------------------------------------------
thf(stricttotalorderedByIn_type,type,
stricttotalorderedByIn: $i > $o ).
thf(nonempty_type,type,
nonempty: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
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('#sk2_type',type,
'#sk2': $i > $i ).
thf('#sk4_type',type,
'#sk4': $i > $i ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(setunion_type,type,
setunion: $i > $i ).
thf(setunionTransitive_type,type,
setunionTransitive: $o ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf('#sk1_type',type,
'#sk1': $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(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 )
=> ( ! [X30: $i] :
( ( in @ X30 @ ( powerset @ X14 ) )
=> ( ( X30 != emptyset )
=> ? [X32: $i] :
( ( in @ X32 @ X30 )
& ! [X34: $i] :
( ( in @ X34 @ X30 )
=> ( ( in @ X32 @ X34 )
| ( X32 = X34 ) ) ) ) ) )
& ! [X28: $i] :
( ( in @ X28 @ X14 )
=> ~ ( in @ X28 @ X28 ) )
& ! [X24: $i] :
( ( in @ X24 @ X14 )
=> ! [X26: $i] :
( ( in @ X26 @ X14 )
=> ( ( in @ X26 @ X24 )
| ( in @ X24 @ X26 )
| ( X24 = X26 ) ) ) )
& ! [X18: $i] :
( ( in @ X18 @ X14 )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ! [X22: $i] :
( ( in @ X22 @ X14 )
=> ( ( ( in @ X20 @ X22 )
& ( in @ X18 @ X20 ) )
=> ( in @ X18 @ X22 ) ) ) ) )
& ! [X16: $i] :
( ( in @ X16 @ X14 )
=> ( subset @ X16 @ X14 ) ) ) )
=> ! [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 )
=> ( ! [X30: $i] :
( ( in @ X30 @ ( powerset @ X14 ) )
=> ( ( X30 != emptyset )
=> ? [X32: $i] :
( ( in @ X32 @ X30 )
& ! [X34: $i] :
( ( in @ X34 @ X30 )
=> ( ( in @ X32 @ X34 )
| ( X32 = X34 ) ) ) ) ) )
& ! [X28: $i] :
( ( in @ X28 @ X14 )
=> ~ ( in @ X28 @ X28 ) )
& ! [X24: $i] :
( ( in @ X24 @ X14 )
=> ! [X26: $i] :
( ( in @ X26 @ X14 )
=> ( ( in @ X26 @ X24 )
| ( in @ X24 @ X26 )
| ( X24 = X26 ) ) ) )
& ! [X18: $i] :
( ( in @ X18 @ X14 )
=> ! [X20: $i] :
( ( in @ X20 @ X14 )
=> ! [X22: $i] :
( ( in @ X22 @ X14 )
=> ( ( ( in @ X20 @ X22 )
& ( in @ X18 @ X20 ) )
=> ( in @ X18 @ X22 ) ) ) ) )
& ! [X16: $i] :
( ( in @ X16 @ X14 )
=> ( subset @ X16 @ X14 ) ) ) )
=> ! [X36: $i] :
( ( in @ X36 @ ( setunion @ X12 ) )
=> ( subset @ X36 @ ( setunion @ X12 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( subset @ Y2 @ Y1 ) ) ) ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( setunion @ Y0 ) )
=> ( subset @ Y1 @ ( setunion @ Y0 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y1 ) )
=> ( ( Y2 != emptyset )
=> ( ??
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y2 )
& ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y2 )
=> ( ( in @ Y3 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( (~) @ ( in @ Y2 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( ( in @ Y3 @ Y2 )
| ( in @ Y2 @ Y3 )
| ( Y2 = Y3 ) ) ) ) ) )
& ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y1 )
=> ( ( ( in @ Y3 @ Y4 )
& ( in @ Y2 @ Y3 ) )
=> ( in @ Y2 @ Y4 ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( subset @ Y2 @ Y1 ) ) ) ) ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( setunion @ Y0 ) )
=> ( subset @ Y1 @ ( setunion @ Y0 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( powerset @ Y1 ) )
=> ( ( Y2 != emptyset )
=> ( ??
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y2 )
& ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y2 )
=> ( ( in @ Y3 @ Y4 )
| ( Y3 = Y4 ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( (~) @ ( in @ Y2 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( ( in @ Y3 @ Y2 )
| ( in @ Y2 @ Y3 )
| ( Y2 = Y3 ) ) ) ) ) )
& ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y1 )
=> ( ( ( in @ Y3 @ Y4 )
& ( in @ Y2 @ Y3 ) )
=> ( in @ Y2 @ Y4 ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( subset @ Y2 @ Y1 ) ) ) ) ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( setunion @ Y0 ) )
=> ( subset @ Y1 @ ( setunion @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( ( Y1 != emptyset )
=> ( ??
@ ^ [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 ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( subset @ Y1 @ Y0 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setunion @ '#sk1' ) )
=> ( subset @ Y0 @ ( setunion @ '#sk1' ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setunion @ '#sk1' ) )
=> ( subset @ Y0 @ ( setunion @ '#sk1' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
~ ( ( in @ '#sk3' @ ( setunion @ '#sk1' ) )
=> ( subset @ '#sk3' @ ( setunion @ '#sk1' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl15,plain,
~ ( subset @ '#sk3' @ ( setunion @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk1' )
=> ( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( powerset @ Y0 ) )
=> ( ( Y1 != emptyset )
=> ( ??
@ ^ [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 ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( subset @ Y1 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
( ( in @ X2 @ '#sk1' )
=> ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( ( Y0 != emptyset )
=> ( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
& ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( in @ Y1 @ Y2 )
| ( Y1 = Y2 ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( (~) @ ( in @ Y0 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( in @ Y1 @ Y0 )
| ( in @ Y0 @ Y1 )
| ( Y0 = Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ X2 )
=> ( ( ( in @ Y1 @ Y2 )
& ( in @ Y0 @ Y1 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( subset @ Y0 @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
! [X2: $i] :
( ~ ( in @ X2 @ '#sk1' )
| ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( powerset @ X2 ) )
=> ( ( Y0 != emptyset )
=> ( ??
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
& ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( in @ Y1 @ Y2 )
| ( Y1 = Y2 ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( (~) @ ( in @ Y0 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( in @ Y1 @ Y0 )
| ( in @ Y0 @ Y1 )
| ( Y0 = Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ X2 )
=> ( ( ( in @ Y1 @ Y2 )
& ( in @ Y0 @ Y1 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( subset @ Y0 @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl22,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( subset @ Y0 @ X2 ) ) )
| ~ ( in @ X2 @ '#sk1' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl30,plain,
! [X2: $i,X4: $i] :
( ( ( in @ X4 @ X2 )
=> ( subset @ X4 @ X2 ) )
| ~ ( in @ X2 @ '#sk1' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl37,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ X2 )
| ( subset @ X4 @ X2 )
| ~ ( in @ X2 @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( subset @ Y2 @ Y1 ) ) ) ) )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( setunion @ Y0 ) )
=> ( subset @ Y1 @ ( setunion @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( subset @ Y1 @ Y0 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setunion @ X2 ) )
=> ( subset @ Y0 @ ( setunion @ X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl5,plain,
! [X2: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( subset @ Y1 @ Y0 ) ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setunion @ X2 ) )
=> ( subset @ Y0 @ ( setunion @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
! [X2: $i] :
( ~ ( ( in @ ( '#sk2' @ X2 ) @ X2 )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( '#sk2' @ X2 ) )
=> ( subset @ Y0 @ ( '#sk2' @ X2 ) ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setunion @ X2 ) )
=> ( subset @ Y0 @ ( setunion @ X2 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( '#sk2' @ X2 ) )
=> ( subset @ Y0 @ ( '#sk2' @ X2 ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setunion @ X2 ) )
=> ( subset @ Y0 @ ( setunion @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl17,plain,
! [X2: $i] :
( ~ ( ( in @ ( '#sk4' @ X2 ) @ ( '#sk2' @ X2 ) )
=> ( subset @ ( '#sk4' @ X2 ) @ ( '#sk2' @ X2 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setunion @ X2 ) )
=> ( subset @ Y0 @ ( setunion @ X2 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl25,plain,
! [X2: $i] :
( ~ ( subset @ ( '#sk4' @ X2 ) @ ( '#sk2' @ X2 ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setunion @ X2 ) )
=> ( subset @ Y0 @ ( setunion @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl32,plain,
! [X2: $i,X4: $i] :
( ( ( in @ X4 @ ( setunion @ X2 ) )
=> ( subset @ X4 @ ( setunion @ X2 ) ) )
| ~ ( subset @ ( '#sk4' @ X2 ) @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl39,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( setunion @ X2 ) )
| ( subset @ X4 @ ( setunion @ X2 ) )
| ~ ( subset @ ( '#sk4' @ X2 ) @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl95,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ ( '#sk2' @ X0 ) @ '#sk1' )
| ~ ( in @ ( '#sk4' @ X0 ) @ ( '#sk2' @ X0 ) )
| ( subset @ X1 @ ( setunion @ X0 ) )
| ~ ( in @ X1 @ ( setunion @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl39]) ).
thf(zip_derived_cl24,plain,
! [X2: $i] :
( ( in @ ( '#sk4' @ X2 ) @ ( '#sk2' @ X2 ) )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setunion @ X2 ) )
=> ( subset @ Y0 @ ( setunion @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl31,plain,
! [X2: $i,X4: $i] :
( ( ( in @ X4 @ ( setunion @ X2 ) )
=> ( subset @ X4 @ ( setunion @ X2 ) ) )
| ( in @ ( '#sk4' @ X2 ) @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl38,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( setunion @ X2 ) )
| ( subset @ X4 @ ( setunion @ X2 ) )
| ( in @ ( '#sk4' @ X2 ) @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X1 @ ( setunion @ X0 ) )
| ( subset @ X1 @ ( setunion @ X0 ) )
| ~ ( in @ ( '#sk2' @ X0 ) @ '#sk1' ) ),
inference(clc,[status(thm)],[zip_derived_cl95,zip_derived_cl38]) ).
thf(zip_derived_cl101,plain,
( ~ ( in @ ( '#sk2' @ '#sk1' ) @ '#sk1' )
| ~ ( in @ '#sk3' @ ( setunion @ '#sk1' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl99]) ).
thf(zip_derived_cl14,plain,
in @ '#sk3' @ ( setunion @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( ( in @ ( '#sk2' @ X2 ) @ X2 )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setunion @ X2 ) )
=> ( subset @ Y0 @ ( setunion @ X2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i] :
( ( ( in @ X4 @ ( setunion @ X2 ) )
=> ( subset @ X4 @ ( setunion @ X2 ) ) )
| ( in @ ( '#sk2' @ X2 ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl23,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ ( setunion @ X2 ) )
| ( subset @ X4 @ ( setunion @ X2 ) )
| ( in @ ( '#sk2' @ X2 ) @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl77,plain,
( ( in @ ( '#sk2' @ '#sk1' ) @ '#sk1' )
| ( subset @ '#sk3' @ ( setunion @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl23]) ).
thf(zip_derived_cl15_001,plain,
~ ( subset @ '#sk3' @ ( setunion @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl79,plain,
in @ ( '#sk2' @ '#sk1' ) @ '#sk1',
inference(clc,[status(thm)],[zip_derived_cl77,zip_derived_cl15]) ).
thf(zip_derived_cl14_002,plain,
in @ '#sk3' @ ( setunion @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl104,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl79,zip_derived_cl14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU819^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Rigw8yBP7s true
% 0.14/0.35 % Computer : n021.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 16:05:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.69 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.79 % Solved by lams/35_full_unif4.sh.
% 0.21/0.79 % done 28 iterations in 0.041s
% 0.21/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.79 % SZS output start Refutation
% See solution above
% 0.21/0.79
% 0.21/0.79
% 0.21/0.79 % Terminating...
% 1.92/0.86 % Runner terminated.
% 1.92/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------