%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU625^2 : 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.ua1CUmy93j true
% Computer : n023.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 04:55:25 PM UTC 2025
% Result : Theorem 0.54s 0.88s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of formulae : 69 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 330 ( 49 equ; 0 cnn)
% Maximal formula atoms : 31 ( 4 avg)
% Number of connectives : 1017 ( 34 ~; 39 |; 0 &; 742 @)
% ( 0 <=>; 108 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 12 con; 0-2 aty)
% ( 94 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 219 ( 94 ^; 125 !; 0 ?; 219 :)
% Comments :
%------------------------------------------------------------------------------
thf(binunionLsub_type,type,
binunionLsub: $o ).
thf(subsetI2_type,type,
subsetI2: $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(subsetE_type,type,
subsetE: $o ).
thf(binunionRsub_type,type,
binunionRsub: $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(setadjoin_type,type,
setadjoin: $i > $i > $i ).
thf(upairset2E_type,type,
upairset2E: $o ).
thf('#sk1_type',type,
'#sk1': $i > $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf('#sk5_type',type,
'#sk5': $i ).
thf(emptyset_type,type,
emptyset: $i ).
thf(binunion_type,type,
binunion: $i > $i > $i ).
thf(upairset2E,axiom,
( upairset2E
= ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) )
=> ( ( Xz = Xx )
| ( Xz = Xy ) ) ) ) ) ).
thf('0',plain,
( upairset2E
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) )
=> ( ( X8 = X4 )
| ( X8 = X6 ) ) ) ) ),
define([status(thm)]) ).
thf(binunionRsub,axiom,
( binunionRsub
= ( ! [A: $i,B: $i] : ( subset @ B @ ( binunion @ A @ B ) ) ) ) ).
thf('1',plain,
( binunionRsub
= ( ! [X4: $i,X6: $i] : ( subset @ X6 @ ( binunion @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(binunionLsub,axiom,
( binunionLsub
= ( ! [A: $i,B: $i] : ( subset @ A @ ( binunion @ A @ B ) ) ) ) ).
thf('2',plain,
( binunionLsub
= ( ! [X4: $i,X6: $i] : ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(subsetE,axiom,
( subsetE
= ( ! [A: $i,B: $i,Xx: $i] :
( ( subset @ A @ B )
=> ( ( in @ Xx @ A )
=> ( in @ Xx @ B ) ) ) ) ) ).
thf('3',plain,
( subsetE
= ( ! [X4: $i,X6: $i,X8: $i] :
( ( subset @ X4 @ X6 )
=> ( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) ) ) ) ),
define([status(thm)]) ).
thf(subsetI2,axiom,
( subsetI2
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( subset @ A @ B ) ) ) ) ).
thf('4',plain,
( subsetI2
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf(upairsubunion,conjecture,
( subsetI2
=> ( subsetE
=> ( binunionLsub
=> ( binunionRsub
=> ( upairset2E
=> ! [A: $i,B: $i,Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( subset @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ ( binunion @ A @ B ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( subset @ X10 @ X12 )
=> ( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) ) )
=> ( ! [X16: $i,X18: $i] : ( subset @ X16 @ ( binunion @ X16 @ X18 ) )
=> ( ! [X20: $i,X22: $i] : ( subset @ X22 @ ( binunion @ X20 @ X22 ) )
=> ( ! [X24: $i,X26: $i,X28: $i] :
( ( in @ X28 @ ( setadjoin @ X24 @ ( setadjoin @ X26 @ emptyset ) ) )
=> ( ( X28 = X26 )
| ( X28 = X24 ) ) )
=> ! [X30: $i,X32: $i,X34: $i] :
( ( in @ X34 @ X30 )
=> ! [X36: $i] :
( ( in @ X36 @ X32 )
=> ( subset @ ( setadjoin @ X34 @ ( setadjoin @ X36 @ emptyset ) ) @ ( binunion @ X30 @ X32 ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( subset @ X4 @ X6 ) )
=> ( ! [X10: $i,X12: $i,X14: $i] :
( ( subset @ X10 @ X12 )
=> ( ( in @ X14 @ X10 )
=> ( in @ X14 @ X12 ) ) )
=> ( ! [X16: $i,X18: $i] : ( subset @ X16 @ ( binunion @ X16 @ X18 ) )
=> ( ! [X20: $i,X22: $i] : ( subset @ X22 @ ( binunion @ X20 @ X22 ) )
=> ( ! [X24: $i,X26: $i,X28: $i] :
( ( in @ X28 @ ( setadjoin @ X24 @ ( setadjoin @ X26 @ emptyset ) ) )
=> ( ( X28 = X26 )
| ( X28 = X24 ) ) )
=> ! [X30: $i,X32: $i,X34: $i] :
( ( in @ X34 @ X30 )
=> ! [X36: $i] :
( ( in @ X36 @ X32 )
=> ( subset @ ( setadjoin @ X34 @ ( setadjoin @ X36 @ emptyset ) ) @ ( binunion @ X30 @ X32 ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ Y0 @ ( binunion @ Y0 @ Y1 ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ Y1 @ ( binunion @ Y0 @ Y1 ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) )
=> ( ( Y2 = Y1 )
| ( Y2 = Y0 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( subset @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ Y0 @ ( binunion @ Y0 @ Y1 ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ Y1 @ ( binunion @ Y0 @ Y1 ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) )
=> ( ( Y2 = Y1 )
| ( Y2 = Y0 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( subset @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ Y0 @ ( binunion @ Y0 @ Y1 ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ Y1 @ ( binunion @ Y0 @ Y1 ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) )
=> ( ( Y2 = Y1 )
| ( Y2 = Y0 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( subset @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ Y0 @ ( binunion @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] : ( subset @ X2 @ ( binunion @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i] : ( subset @ X2 @ ( binunion @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( subset @ Y0 @ Y1 )
=> ( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( subset @ X2 @ Y0 )
=> ( ( in @ Y1 @ X2 )
=> ( in @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( subset @ X2 @ X4 )
=> ( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( subset @ X2 @ X4 )
=> ( ( in @ X6 @ X2 )
=> ( in @ X6 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl23,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( subset @ X2 @ X4 )
| ( ( in @ X6 @ X2 )
=> ( in @ X6 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X2 )
| ( in @ X6 @ X4 )
| ~ ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( binunion @ X1 @ X0 ) )
| ~ ( in @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl27]) ).
thf(zip_derived_cl9,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ Y1 @ ( binunion @ Y0 @ Y1 ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) )
=> ( ( Y2 = Y1 )
| ( Y2 = Y0 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( subset @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl14,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) )
=> ( ( Y2 = Y1 )
| ( Y2 = Y0 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( subset @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl19,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) )
=> ( ( Y2 = Y1 )
| ( Y2 = Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl25,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( setadjoin @ X2 @ ( setadjoin @ Y0 @ emptyset ) ) )
=> ( ( Y1 = Y0 )
| ( Y1 = X2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl28,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) )
=> ( ( Y0 = X4 )
| ( Y0 = X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl30,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( in @ X6 @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) )
=> ( ( X6 = X4 )
| ( X6 = X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl32,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) )
| ( X6 = X4 )
| ( X6 = X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl35,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X6 = X4 )
| ( X6 = X2 )
| ~ ( in @ X6 @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl37,plain,
! [X2: $i,X4: $i,X6: $i] :
( ( X6 = X4 )
| ( X6 = X2 )
| ~ ( in @ X6 @ ( setadjoin @ X2 @ ( setadjoin @ X4 @ emptyset ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( subset @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( in @ Y1 @ Y0 ) ) )
=> ( subset @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X2: $i,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X4 ) ) )
=> ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X4: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X4 ) ) )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i] :
( ~ ( ( in @ ( '#sk1' @ X2 @ X4 ) @ X2 )
=> ( in @ ( '#sk1' @ X2 @ X4 ) @ X4 ) )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl21,plain,
! [X2: $i,X4: $i] :
( ( in @ ( '#sk1' @ X2 @ X4 ) @ X2 )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( '#sk1' @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ X2 )
= X1 )
| ( ( '#sk1' @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ X2 )
= X0 )
| ( subset @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl21]) ).
thf(zip_derived_cl20,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( subset @ ( setadjoin @ Y2 @ ( setadjoin @ Y3 @ emptyset ) ) @ ( binunion @ Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl26,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk2' )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( subset @ ( setadjoin @ Y1 @ ( setadjoin @ Y2 @ emptyset ) ) @ ( binunion @ '#sk2' @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl29,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk2' )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk3' )
=> ( subset @ ( setadjoin @ Y0 @ ( setadjoin @ Y1 @ emptyset ) ) @ ( binunion @ '#sk2' @ '#sk3' ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl31,plain,
~ ( ( in @ '#sk4' @ '#sk2' )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk3' )
=> ( subset @ ( setadjoin @ '#sk4' @ ( setadjoin @ Y0 @ emptyset ) ) @ ( binunion @ '#sk2' @ '#sk3' ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl34,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk3' )
=> ( subset @ ( setadjoin @ '#sk4' @ ( setadjoin @ Y0 @ emptyset ) ) @ ( binunion @ '#sk2' @ '#sk3' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl36,plain,
~ ( ( in @ '#sk5' @ '#sk3' )
=> ( subset @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ ( binunion @ '#sk2' @ '#sk3' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl39,plain,
~ ( subset @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ ( binunion @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl66,plain,
( ( ( '#sk1' @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ ( binunion @ '#sk2' @ '#sk3' ) )
= '#sk5' )
| ( ( '#sk1' @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ ( binunion @ '#sk2' @ '#sk3' ) )
= '#sk4' ) ),
inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl39]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( subset @ Y1 @ ( binunion @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] : ( subset @ Y0 @ ( binunion @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i] : ( subset @ X4 @ ( binunion @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl27_001,plain,
! [X2: $i,X4: $i,X6: $i] :
( ~ ( in @ X6 @ X2 )
| ( in @ X6 @ X4 )
| ~ ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( binunion @ X1 @ X0 ) )
| ~ ( in @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl27]) ).
thf(zip_derived_cl22,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ ( '#sk1' @ X2 @ X4 ) @ X4 )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ ( '#sk1' @ X2 @ ( binunion @ X1 @ X0 ) ) @ X0 )
| ( subset @ X2 @ ( binunion @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl22]) ).
thf(zip_derived_cl145,plain,
( ~ ( in @ '#sk5' @ '#sk3' )
| ( ( '#sk1' @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ ( binunion @ '#sk2' @ '#sk3' ) )
= '#sk4' )
| ( subset @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ ( binunion @ '#sk2' @ '#sk3' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl58]) ).
thf(zip_derived_cl38,plain,
in @ '#sk5' @ '#sk3',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl159,plain,
( ( ( '#sk1' @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ ( binunion @ '#sk2' @ '#sk3' ) )
= '#sk4' )
| ( subset @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ ( binunion @ '#sk2' @ '#sk3' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl38]) ).
thf(zip_derived_cl39_002,plain,
~ ( subset @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ ( binunion @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl177,plain,
( ( '#sk1' @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ ( binunion @ '#sk2' @ '#sk3' ) )
= '#sk4' ),
inference(clc,[status(thm)],[zip_derived_cl159,zip_derived_cl39]) ).
thf(zip_derived_cl22_003,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ ( '#sk1' @ X2 @ X4 ) @ X4 )
| ( subset @ X2 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl179,plain,
( ~ ( in @ '#sk4' @ ( binunion @ '#sk2' @ '#sk3' ) )
| ( subset @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ ( binunion @ '#sk2' @ '#sk3' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl177,zip_derived_cl22]) ).
thf(zip_derived_cl39_004,plain,
~ ( subset @ ( setadjoin @ '#sk4' @ ( setadjoin @ '#sk5' @ emptyset ) ) @ ( binunion @ '#sk2' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl189,plain,
~ ( in @ '#sk4' @ ( binunion @ '#sk2' @ '#sk3' ) ),
inference(clc,[status(thm)],[zip_derived_cl179,zip_derived_cl39]) ).
thf(zip_derived_cl192,plain,
~ ( in @ '#sk4' @ '#sk2' ),
inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl189]) ).
thf(zip_derived_cl33,plain,
in @ '#sk4' @ '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl198,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU625^2 : TPTP v9.2.0. Released v3.7.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ua1CUmy93j true
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 16:13:23 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in HO mode
% 0.51/0.63 % Total configuration time : 828
% 0.51/0.63 % Estimated wc time : 1656
% 0.51/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.86 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.54/0.88 % Solved by lams/35_full_unif4.sh.
% 0.54/0.88 % done 48 iterations in 0.072s
% 0.54/0.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.88 % SZS output start Refutation
% See solution above
% 0.54/0.89
% 0.54/0.89
% 0.54/0.89 % Terminating...
% 1.66/1.06 % Runner terminated.
% 1.70/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------