%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU517^2 : 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.DRDheKSKk9 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 Oct 2 04:54:53 PM UTC 2025
% Result : Theorem 0.55s 1.05s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 8
% Syntax : Number of formulae : 60 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 312 ( 58 equ; 0 cnn)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 868 ( 33 ~; 48 |; 0 &; 611 @)
% ( 0 <=>; 110 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 7 usr; 7 con; 0-2 aty)
% ( 66 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 225 ( 105 ^; 120 !; 0 ?; 225 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf('#sk10_type',type,
'#sk10': $i > $i > $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(setext_type,type,
setext: $o ).
thf(setext,axiom,
( setext
= ( ! [A: $i,B: $i] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ( in @ Xx @ B ) )
=> ( ! [Xx: $i] :
( ( in @ Xx @ B )
=> ( in @ Xx @ A ) )
=> ( A = B ) ) ) ) ) ).
thf('0',plain,
( setext
= ( ! [X4: $i,X6: $i] :
( ! [X8: $i] :
( ( in @ X8 @ X4 )
=> ( in @ X8 @ X6 ) )
=> ( ! [X10: $i] :
( ( in @ X10 @ X6 )
=> ( in @ X10 @ X4 ) )
=> ( X4 = X6 ) ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrEL,axiom,
( dsetconstrEL
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( in @ Xx @ A ) ) ) ) ).
thf('1',plain,
( dsetconstrEL
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( in @ X8 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(dsetconstrI,axiom,
( dsetconstrI
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx @ A )
=> ( ( Xphi @ Xx )
=> ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).
thf('2',plain,
( dsetconstrI
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(setoftrueEq,conjecture,
( dsetconstrI
=> ( dsetconstrEL
=> ( setext
=> ! [A: $i] :
( ( dsetconstr @ A
@ ^ [Xx: $i] : $true )
= A ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
=> ( ! [X10: $i,X12: $i > $o,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ X10
@ ^ [V_2: $i] : ( X12 @ V_2 ) ) )
=> ( in @ X14 @ X10 ) )
=> ( ! [X16: $i,X18: $i] :
( ! [X20: $i] :
( ( in @ X20 @ X16 )
=> ( in @ X20 @ X18 ) )
=> ( ! [X22: $i] :
( ( in @ X22 @ X18 )
=> ( in @ X22 @ X16 ) )
=> ( X16 = X18 ) ) )
=> ! [X24: $i] :
( ( dsetconstr @ X24
@ ^ [V_3: $i] : $true )
= X24 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8 @ X4 )
=> ( ( X6 @ X8 )
=> ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
=> ( ! [X10: $i,X12: $i > $o,X14: $i] :
( ( in @ X14
@ ( dsetconstr @ X10
@ ^ [V_2: $i] : ( X12 @ V_2 ) ) )
=> ( in @ X14 @ X10 ) )
=> ( ! [X16: $i,X18: $i] :
( ! [X20: $i] :
( ( in @ X20 @ X16 )
=> ( in @ X20 @ X18 ) )
=> ( ! [X22: $i] :
( ( in @ X22 @ X18 )
=> ( in @ X22 @ X16 ) )
=> ( X16 = X18 ) ) )
=> ! [X24: $i] :
( ( dsetconstr @ X24
@ ^ [V_3: $i] : $true )
= X24 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( Y1 @ Y2 )
=> ( in @ Y2
@ ( dsetconstr @ Y0
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2
@ ( dsetconstr @ Y0
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y2 @ Y0 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( Y0 = Y1 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( dsetconstr @ Y0
@ ^ [Y1: $i] : $true )
= Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( Y1 @ Y2 )
=> ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) )
=> ( in @ Y2 @ Y0 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( Y0 = Y1 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( dsetconstr @ Y0
@ ^ [Y1: $i] : $true )
= Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) )
=> ( in @ Y2 @ Y0 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( Y0 = Y1 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( dsetconstr @ Y0
@ ^ [Y1: $i] : $true )
= Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( Y0 = Y1 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( dsetconstr @ Y0
@ ^ [Y1: $i] : $true )
= Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( dsetconstr @ Y0
@ ^ [Y1: $i] : $true )
= Y0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl14,plain,
( ( dsetconstr @ '#sk3'
@ ^ [Y0: $i] : $true )
!= '#sk3' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl18,plain,
( ( dsetconstr @ '#sk3'
@ ^ [Y0: $i] : $true )
!= '#sk3' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( Y0 = Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( in @ Y1 @ Y0 ) ) )
=> ( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ Y0 )
=> ( in @ Y1 @ X2 ) ) )
=> ( X2 = Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl17,plain,
! [X2: $i,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X4 ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
=> ( X2 = X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl21,plain,
! [X2: $i,X4: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ Y0 @ X4 ) ) )
| ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
=> ( X2 = X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl22,plain,
! [X2: $i,X4: $i] :
( ~ ( ( in @ ( '#sk10' @ X2 @ X4 ) @ X2 )
=> ( in @ ( '#sk10' @ X2 @ X4 ) @ X4 ) )
| ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
=> ( X2 = X4 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl23,plain,
! [X2: $i,X4: $i] :
( ( in @ ( '#sk10' @ X2 @ X4 ) @ X2 )
| ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
=> ( X2 = X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl25,plain,
! [X2: $i,X4: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
| ( X2 = X4 )
| ( in @ ( '#sk10' @ X2 @ X4 ) @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl27,plain,
! [X2: $i,X4: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
| ( X2 = X4 )
| ( in @ ( '#sk10' @ X2 @ X4 ) @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl28,plain,
! [X2: $i,X4: $i] :
( ~ ( ( in @ ( '#sk10' @ X4 @ X2 ) @ X4 )
=> ( in @ ( '#sk10' @ X4 @ X2 ) @ X2 ) )
| ( in @ ( '#sk10' @ X2 @ X4 ) @ X2 )
| ( X2 = X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl31,plain,
! [X2: $i,X4: $i] :
( ( in @ ( '#sk10' @ X4 @ X2 ) @ X4 )
| ( X2 = X4 )
| ( in @ ( '#sk10' @ X2 @ X4 ) @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) )
=> ( in @ Y2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( dsetconstr @ X2 @ Y0 ) )
=> ( in @ Y1 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
! [X2: $i,X4: $i > $o] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( dsetconstr @ X2 @ X4 ) )
=> ( in @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) )
=> ( in @ X6 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl20,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ~ ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) )
| ( in @ X6 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl41,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( ( dsetconstr @ X1 @ X0 )
= X2 )
| ( in @ ( '#sk10' @ X2 @ ( dsetconstr @ X1 @ X0 ) ) @ X2 )
| ( in @ ( '#sk10' @ ( dsetconstr @ X1 @ X0 ) @ X2 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl20]) ).
thf(zip_derived_cl32,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ ( '#sk10' @ X4 @ X2 ) @ X2 )
| ( X2 = X4 )
| ( in @ ( '#sk10' @ X2 @ X4 ) @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl90,plain,
! [X0: $i,X1: $i > $o] :
( ( in @ ( '#sk10' @ X0 @ ( dsetconstr @ X0 @ X1 ) ) @ X0 )
| ( ( dsetconstr @ X0 @ X1 )
= X0 )
| ( in @ ( '#sk10' @ X0 @ ( dsetconstr @ X0 @ X1 ) ) @ X0 )
| ( X0
= ( dsetconstr @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl32]) ).
thf(zip_derived_cl112,plain,
! [X0: $i,X1: $i > $o] :
( ( ( dsetconstr @ X0 @ X1 )
= X0 )
| ( in @ ( '#sk10' @ X0 @ ( dsetconstr @ X0 @ X1 ) ) @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( ( Y1 @ Y2 )
=> ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( ( Y0 @ Y1 )
=> ( in @ Y1 @ ( dsetconstr @ X2 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: $i,X4: $i > $o] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( ( X4 @ Y0 )
=> ( in @ Y0 @ ( dsetconstr @ X2 @ X4 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ( in @ X6 @ X2 )
=> ( ( X4 @ X6 )
=> ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl15,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ~ ( in @ X6 @ X2 )
| ( ( X4 @ X6 )
=> ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl19,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ~ ( X4 @ X6 )
| ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) )
| ~ ( in @ X6 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl120,plain,
! [X0: $i,X1: $i > $o,X2: $i > $o] :
( ( ( dsetconstr @ X0 @ X1 )
= X0 )
| ( in @ ( '#sk10' @ X0 @ ( dsetconstr @ X0 @ X1 ) ) @ ( dsetconstr @ X0 @ X2 ) )
| ~ ( X2 @ ( '#sk10' @ X0 @ ( dsetconstr @ X0 @ X1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl19]) ).
thf(zip_derived_cl142,plain,
! [X0: $i > $o,X1: $i] :
( ( in @ ( '#sk10' @ X1 @ ( dsetconstr @ X1 @ X0 ) )
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : $true ) )
| ( in @ ( '#sk10' @ X1 @ ( dsetconstr @ X1 @ X0 ) )
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : $true ) )
| ( ( dsetconstr @ X1 @ X0 )
= X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl120]) ).
thf(zip_derived_cl143,plain,
! [X0: $i > $o,X1: $i] :
( ( ( dsetconstr @ X1 @ X0 )
= X1 )
| ( in @ ( '#sk10' @ X1 @ ( dsetconstr @ X1 @ X0 ) )
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : $true ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl142]) ).
thf(zip_derived_cl32_001,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ ( '#sk10' @ X4 @ X2 ) @ X2 )
| ( X2 = X4 )
| ( in @ ( '#sk10' @ X2 @ X4 ) @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl173,plain,
! [X0: $i] :
( ( ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
= X0 )
| ( in
@ ( '#sk10'
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
@ X0 )
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : $true ) )
| ( ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl32]) ).
thf(zip_derived_cl178,plain,
! [X0: $i] :
( ( in
@ ( '#sk10'
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
@ X0 )
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : $true ) )
| ( ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl173]) ).
thf(zip_derived_cl20_002,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ~ ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) )
| ( in @ X6 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl186,plain,
! [X0: $i] :
( ( ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
= X0 )
| ( in
@ ( '#sk10'
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
@ X0 )
@ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl178,zip_derived_cl20]) ).
thf(zip_derived_cl143_003,plain,
! [X0: $i > $o,X1: $i] :
( ( ( dsetconstr @ X1 @ X0 )
= X1 )
| ( in @ ( '#sk10' @ X1 @ ( dsetconstr @ X1 @ X0 ) )
@ ( dsetconstr @ X1
@ ^ [Y0: $i] : $true ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl142]) ).
thf(zip_derived_cl24,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ ( '#sk10' @ X2 @ X4 ) @ X4 )
| ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
=> ( X2 = X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl26,plain,
! [X2: $i,X4: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
| ( X2 = X4 )
| ~ ( in @ ( '#sk10' @ X2 @ X4 ) @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl29,plain,
! [X2: $i,X4: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
| ( X2 = X4 )
| ~ ( in @ ( '#sk10' @ X2 @ X4 ) @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl30,plain,
! [X2: $i,X4: $i] :
( ~ ( ( in @ ( '#sk10' @ X4 @ X2 ) @ X4 )
=> ( in @ ( '#sk10' @ X4 @ X2 ) @ X2 ) )
| ~ ( in @ ( '#sk10' @ X2 @ X4 ) @ X4 )
| ( X2 = X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl34,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ ( '#sk10' @ X4 @ X2 ) @ X2 )
| ( X2 = X4 )
| ~ ( in @ ( '#sk10' @ X2 @ X4 ) @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl172,plain,
! [X0: $i] :
( ( ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
= X0 )
| ~ ( in
@ ( '#sk10'
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
@ X0 )
@ X0 )
| ( ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
= X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl34]) ).
thf(zip_derived_cl177,plain,
! [X0: $i] :
( ~ ( in
@ ( '#sk10'
@ ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
@ X0 )
@ X0 )
| ( ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl172]) ).
thf(zip_derived_cl189,plain,
! [X0: $i] :
( ( dsetconstr @ X0
@ ^ [Y0: $i] : $true )
= X0 ),
inference(clc,[status(thm)],[zip_derived_cl186,zip_derived_cl177]) ).
thf(zip_derived_cl190,plain,
'#sk3' != '#sk3',
inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl189]) ).
thf(zip_derived_cl191,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEU517^2 : TPTP v9.2.0. Released v3.7.0.
% 0.02/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.DRDheKSKk9 true
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 16:04:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in HO mode
% 0.53/0.66 % Total configuration time : 828
% 0.53/0.66 % Estimated wc time : 1656
% 0.53/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.81 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.81 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.82 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.82 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.55/1.05 % Solved by lams/20_acsne_simpl.sh.
% 0.55/1.05 % done 32 iterations in 0.178s
% 0.55/1.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/1.05 % SZS output start Refutation
% See solution above
% 0.55/1.05
% 0.55/1.05
% 0.55/1.05 % Terminating...
% 3.74/1.25 % Runner terminated.
% 3.74/1.28 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------