TSTP Solution File: SEU558^2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU558^2 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.frWEWcZqns true
% Computer : n016.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 19:13:51 EDT 2023
% Result : Theorem 56.61s 8.09s
% Output : Refutation 56.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 21
% Syntax : Number of formulae : 90 ( 18 unt; 11 typ; 0 def)
% Number of atoms : 490 ( 93 equ; 0 cnn)
% Maximal formula atoms : 34 ( 6 avg)
% Number of connectives : 1350 ( 57 ~; 55 |; 0 &; 865 @)
% ( 20 <=>; 212 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 75 ( 75 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 8 con; 0-2 aty)
% ( 141 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 323 ( 164 ^; 159 !; 0 ?; 323 :)
% Comments :
%------------------------------------------------------------------------------
thf(in_type,type,
in: $i > $i > $o ).
thf('#sk16_type',type,
'#sk16': $i > $o ).
thf(dsetconstrI_type,type,
dsetconstrI: $o ).
thf(dsetconstrEL_type,type,
dsetconstrEL: $o ).
thf('#sk10_type',type,
'#sk10': $i ).
thf('#sk15_type',type,
'#sk15': $i > $i > $i ).
thf(dsetconstr_type,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf('#sk5_type',type,
'#sk5': $i ).
thf('#sk17_type',type,
'#sk17': $i > $o ).
thf(setext_type,type,
setext: $o ).
thf(dsetconstrER_type,type,
dsetconstrER: $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(dsetconstrER,axiom,
( dsetconstrER
= ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
( ( in @ Xx
@ ( dsetconstr @ A
@ ^ [Xy: $i] : ( Xphi @ Xy ) ) )
=> ( Xphi @ Xx ) ) ) ) ).
thf('1',plain,
( dsetconstrER
= ( ! [X4: $i,X6: $i > $o,X8: $i] :
( ( in @ X8
@ ( dsetconstr @ X4
@ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
=> ( X6 @ X8 ) ) ) ),
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('2',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('3',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(dsetconstr__Cong,conjecture,
( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( setext
=> ! [A: $i,B: $i] :
( ( A = B )
=> ! [Xphi: $i > $o,Xpsi: $i > $o] :
( ! [Xx: $i] :
( ( in @ Xx @ A )
=> ! [Xy: $i] :
( ( in @ Xy @ B )
=> ( ( Xx = Xy )
=> ( ( Xphi @ Xx )
<=> ( Xpsi @ Xy ) ) ) ) )
=> ( ( dsetconstr @ A
@ ^ [Xx: $i] : ( Xphi @ Xx ) )
= ( dsetconstr @ B
@ ^ [Xx: $i] : ( Xpsi @ Xx ) ) ) ) ) ) ) ) ) ).
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 > $o,X20: $i] :
( ( in @ X20
@ ( dsetconstr @ X16
@ ^ [V_3: $i] : ( X18 @ V_3 ) ) )
=> ( X18 @ X20 ) )
=> ( ! [X22: $i,X24: $i] :
( ! [X26: $i] :
( ( in @ X26 @ X22 )
=> ( in @ X26 @ X24 ) )
=> ( ! [X28: $i] :
( ( in @ X28 @ X24 )
=> ( in @ X28 @ X22 ) )
=> ( X22 = X24 ) ) )
=> ! [X30: $i,X32: $i] :
( ( X30 = X32 )
=> ! [X34: $i > $o,X36: $i > $o] :
( ! [X38: $i] :
( ( in @ X38 @ X30 )
=> ! [X40: $i] :
( ( in @ X40 @ X32 )
=> ( ( X38 = X40 )
=> ( ( X34 @ X38 )
<=> ( X36 @ X40 ) ) ) ) )
=> ( ( dsetconstr @ X30
@ ^ [V_4: $i] : ( X34 @ V_4 ) )
= ( dsetconstr @ X32
@ ^ [V_5: $i] : ( X36 @ V_5 ) ) ) ) ) ) ) ) ) ).
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 > $o,X20: $i] :
( ( in @ X20
@ ( dsetconstr @ X16
@ ^ [V_3: $i] : ( X18 @ V_3 ) ) )
=> ( X18 @ X20 ) )
=> ( ! [X22: $i,X24: $i] :
( ! [X26: $i] :
( ( in @ X26 @ X22 )
=> ( in @ X26 @ X24 ) )
=> ( ! [X28: $i] :
( ( in @ X28 @ X24 )
=> ( in @ X28 @ X22 ) )
=> ( X22 = X24 ) ) )
=> ! [X30: $i,X32: $i] :
( ( X30 = X32 )
=> ! [X34: $i > $o,X36: $i > $o] :
( ! [X38: $i] :
( ( in @ X38 @ X30 )
=> ! [X40: $i] :
( ( in @ X40 @ X32 )
=> ( ( X38 = X40 )
=> ( ( X34 @ X38 )
<=> ( X36 @ X40 ) ) ) ) )
=> ( ( dsetconstr @ X30
@ ^ [V_4: $i] : ( X34 @ V_4 ) )
= ( dsetconstr @ X32
@ ^ [V_5: $i] : ( X36 @ V_5 ) ) ) ) ) ) ) ) ),
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 > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2
@ ( dsetconstr @ Y0
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( Y1 @ Y2 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( Y0 = Y1 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( Y0 = Y1 )
=> ( !!
@ ^ [Y2: $i > $o] :
( !!
@ ^ [Y3: $i > $o] :
( ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y1 )
=> ( ( Y4 = Y5 )
=> ( ( Y2 @ Y4 )
<=> ( Y3 @ Y5 ) ) ) ) ) ) )
=> ( ( dsetconstr @ Y0
@ ^ [Y4: $i] : ( Y2 @ Y4 ) )
= ( dsetconstr @ Y1
@ ^ [Y4: $i] : ( Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) ),
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 > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) )
=> ( Y1 @ Y2 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( Y0 = Y1 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( Y0 = Y1 )
=> ( !!
@ ^ [Y2: $i > $o] :
( !!
@ ^ [Y3: $i > $o] :
( ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y1 )
=> ( ( Y4 = Y5 )
=> ( ( Y2 @ Y4 )
<=> ( Y3 @ Y5 ) ) ) ) ) ) )
=> ( ( dsetconstr @ Y0 @ Y2 )
= ( dsetconstr @ Y1 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ),
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 > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) )
=> ( Y1 @ Y2 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( Y0 = Y1 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( Y0 = Y1 )
=> ( !!
@ ^ [Y2: $i > $o] :
( !!
@ ^ [Y3: $i > $o] :
( ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y1 )
=> ( ( Y4 = Y5 )
=> ( ( Y2 @ Y4 )
<=> ( Y3 @ Y5 ) ) ) ) ) ) )
=> ( ( dsetconstr @ Y0 @ Y2 )
= ( dsetconstr @ Y1 @ Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) )
=> ( Y1 @ Y2 ) ) ) ) )
=> ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ Y2 @ Y1 ) ) )
=> ( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y1 )
=> ( in @ Y2 @ Y0 ) ) )
=> ( Y0 = Y1 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( Y0 = Y1 )
=> ( !!
@ ^ [Y2: $i > $o] :
( !!
@ ^ [Y3: $i > $o] :
( ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y1 )
=> ( ( Y4 = Y5 )
=> ( ( Y2 @ Y4 )
<=> ( Y3 @ Y5 ) ) ) ) ) ) )
=> ( ( dsetconstr @ Y0 @ Y2 )
= ( dsetconstr @ Y1 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl10,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] :
( !!
@ ^ [Y1: $i] :
( ( Y0 = Y1 )
=> ( !!
@ ^ [Y2: $i > $o] :
( !!
@ ^ [Y3: $i > $o] :
( ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y1 )
=> ( ( Y4 = Y5 )
=> ( ( Y2 @ Y4 )
<=> ( Y3 @ Y5 ) ) ) ) ) ) )
=> ( ( dsetconstr @ Y0 @ Y2 )
= ( dsetconstr @ Y1 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl14,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_cl10]) ).
thf(zip_derived_cl19,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_cl14]) ).
thf(zip_derived_cl24,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_cl19]) ).
thf(zip_derived_cl27,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_cl24]) ).
thf(zip_derived_cl30,plain,
! [X2: $i,X4: $i] :
( ~ ( ( in @ ( '#sk15' @ X2 @ X4 ) @ X2 )
=> ( in @ ( '#sk15' @ X2 @ X4 ) @ X4 ) )
| ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
=> ( X2 = X4 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl37,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ ( '#sk15' @ X2 @ X4 ) @ X4 )
| ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
=> ( X2 = X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl43,plain,
! [X2: $i,X4: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
| ( X2 = X4 )
| ~ ( in @ ( '#sk15' @ X2 @ X4 ) @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl48,plain,
! [X2: $i,X4: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
| ( X2 = X4 )
| ~ ( in @ ( '#sk15' @ X2 @ X4 ) @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl49,plain,
! [X2: $i,X4: $i] :
( ~ ( ( in @ ( '#sk15' @ X4 @ X2 ) @ X4 )
=> ( in @ ( '#sk15' @ X4 @ X2 ) @ X2 ) )
| ~ ( in @ ( '#sk15' @ X2 @ X4 ) @ X4 )
| ( X2 = X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl55,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ ( '#sk15' @ X4 @ X2 ) @ X2 )
| ( X2 = X4 )
| ~ ( in @ ( '#sk15' @ X2 @ X4 ) @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl15,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( Y0 = Y1 )
=> ( !!
@ ^ [Y2: $i > $o] :
( !!
@ ^ [Y3: $i > $o] :
( ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
=> ( !!
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y1 )
=> ( ( Y4 = Y5 )
=> ( ( Y2 @ Y4 )
<=> ( Y3 @ Y5 ) ) ) ) ) ) )
=> ( ( dsetconstr @ Y0 @ Y2 )
= ( dsetconstr @ Y1 @ Y3 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl20,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( '#sk5' = Y0 )
=> ( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ '#sk5' )
=> ( !!
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
=> ( ( Y3 = Y4 )
=> ( ( Y1 @ Y3 )
<=> ( Y2 @ Y4 ) ) ) ) ) ) )
=> ( ( dsetconstr @ '#sk5' @ Y1 )
= ( dsetconstr @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl25,plain,
~ ( ( '#sk5' = '#sk10' )
=> ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ '#sk5' )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ '#sk10' )
=> ( ( Y2 = Y3 )
=> ( ( Y0 @ Y2 )
<=> ( Y1 @ Y3 ) ) ) ) ) ) )
=> ( ( dsetconstr @ '#sk5' @ Y0 )
= ( dsetconstr @ '#sk10' @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl28,plain,
'#sk5' = '#sk10',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl31,plain,
'#sk5' = '#sk10',
inference('simplify nested equalities',[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl29,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ '#sk5' )
=> ( !!
@ ^ [Y3: $i] :
( ( in @ Y3 @ '#sk10' )
=> ( ( Y2 = Y3 )
=> ( ( Y0 @ Y2 )
<=> ( Y1 @ Y3 ) ) ) ) ) ) )
=> ( ( dsetconstr @ '#sk5' @ Y0 )
= ( dsetconstr @ '#sk10' @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl35,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk5' )
=> ( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ '#sk10' )
=> ( ( Y1 = Y2 )
=> ( ( '#sk16' @ Y1 )
<=> ( Y0 @ Y2 ) ) ) ) ) ) )
=> ( ( dsetconstr @ '#sk5' @ '#sk16' )
= ( dsetconstr @ '#sk10' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl41,plain,
~ ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk5' )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk10' )
=> ( ( Y0 = Y1 )
=> ( ( '#sk16' @ Y0 )
<=> ( '#sk17' @ Y1 ) ) ) ) ) ) )
=> ( ( dsetconstr @ '#sk5' @ '#sk16' )
= ( dsetconstr @ '#sk10' @ '#sk17' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl45,plain,
( ( dsetconstr @ '#sk5' @ '#sk16' )
!= ( dsetconstr @ '#sk10' @ '#sk17' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl51,plain,
( ( dsetconstr @ '#sk5' @ '#sk16' )
!= ( dsetconstr @ '#sk10' @ '#sk17' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl76,plain,
( ( dsetconstr @ '#sk5' @ '#sk16' )
!= ( dsetconstr @ '#sk5' @ '#sk17' ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl51]) ).
thf(zip_derived_cl31_001,plain,
'#sk5' = '#sk10',
inference('simplify nested equalities',[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl44,plain,
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk5' )
=> ( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ '#sk10' )
=> ( ( Y0 = Y1 )
=> ( ( '#sk16' @ Y0 )
<=> ( '#sk17' @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl50,plain,
! [X2: $i] :
( ( in @ X2 @ '#sk5' )
=> ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk10' )
=> ( ( X2 = Y0 )
=> ( ( '#sk16' @ X2 )
<=> ( '#sk17' @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl56,plain,
! [X2: $i] :
( ~ ( in @ X2 @ '#sk5' )
| ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ '#sk10' )
=> ( ( X2 = Y0 )
=> ( ( '#sk16' @ X2 )
<=> ( '#sk17' @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl57,plain,
! [X2: $i,X4: $i] :
( ( ( in @ X4 @ '#sk10' )
=> ( ( X2 = X4 )
=> ( ( '#sk16' @ X2 )
<=> ( '#sk17' @ X4 ) ) ) )
| ~ ( in @ X2 @ '#sk5' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl58,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ X4 @ '#sk10' )
| ( ( X2 = X4 )
=> ( ( '#sk16' @ X2 )
<=> ( '#sk17' @ X4 ) ) )
| ~ ( in @ X2 @ '#sk5' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl59,plain,
! [X2: $i,X4: $i] :
( ( X2 != X4 )
| ( ( '#sk16' @ X2 )
<=> ( '#sk17' @ X4 ) )
| ~ ( in @ X2 @ '#sk5' )
| ~ ( in @ X4 @ '#sk10' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl60,plain,
! [X2: $i,X4: $i] :
( ( X2 != X4 )
| ( ( '#sk16' @ X2 )
= ( '#sk17' @ X4 ) )
| ~ ( in @ X2 @ '#sk5' )
| ~ ( in @ X4 @ '#sk10' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl61,plain,
! [X4: $i] :
( ~ ( in @ X4 @ '#sk10' )
| ~ ( in @ X4 @ '#sk5' )
| ( ( '#sk16' @ X4 )
= ( '#sk17' @ X4 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl84,plain,
! [X0: $i] :
( ~ ( in @ X0 @ '#sk5' )
| ( ( '#sk16' @ X0 )
= ( '#sk17' @ X0 ) )
| ~ ( in @ X0 @ '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl61]) ).
thf(zip_derived_cl87,plain,
! [X0: $i] :
( ( ( '#sk16' @ X0 )
= ( '#sk17' @ X0 ) )
| ~ ( in @ X0 @ '#sk5' ) ),
inference(simplify,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl90,plain,
! [X0: $i] :
( ~ ( '#sk16' @ X0 )
| ( '#sk17' @ X0 )
| ~ ( in @ X0 @ '#sk5' ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i] :
( ( in @ Y2 @ ( dsetconstr @ Y0 @ Y1 ) )
=> ( Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] :
( ( in @ Y1 @ ( dsetconstr @ X2 @ Y0 ) )
=> ( Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
! [X2: $i,X4: $i > $o] :
( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ ( dsetconstr @ X2 @ X4 ) )
=> ( X4 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl23,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) )
=> ( X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl26,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ~ ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) )
| ( X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
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_cl17,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_cl22,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ~ ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) )
| ( in @ X6 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl36,plain,
! [X2: $i,X4: $i] :
( ( in @ ( '#sk15' @ X2 @ X4 ) @ X2 )
| ( ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
=> ( X2 = X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl42,plain,
! [X2: $i,X4: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
| ( X2 = X4 )
| ( in @ ( '#sk15' @ X2 @ X4 ) @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl46,plain,
! [X2: $i,X4: $i] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( in @ Y0 @ X4 )
=> ( in @ Y0 @ X2 ) ) )
| ( X2 = X4 )
| ( in @ ( '#sk15' @ X2 @ X4 ) @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl47,plain,
! [X2: $i,X4: $i] :
( ~ ( ( in @ ( '#sk15' @ X4 @ X2 ) @ X4 )
=> ( in @ ( '#sk15' @ X4 @ X2 ) @ X2 ) )
| ( in @ ( '#sk15' @ X2 @ X4 ) @ X2 )
| ( X2 = X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl53,plain,
! [X2: $i,X4: $i] :
( ~ ( in @ ( '#sk15' @ X4 @ X2 ) @ X2 )
| ( X2 = X4 )
| ( in @ ( '#sk15' @ X2 @ X4 ) @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl26_002,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ~ ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) )
| ( X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl52,plain,
! [X2: $i,X4: $i] :
( ( in @ ( '#sk15' @ X4 @ X2 ) @ X4 )
| ( X2 = X4 )
| ( in @ ( '#sk15' @ X2 @ X4 ) @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl278,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( X0 @ ( '#sk15' @ ( dsetconstr @ X1 @ X0 ) @ X2 ) )
| ( in @ ( '#sk15' @ X2 @ ( dsetconstr @ X1 @ X0 ) ) @ X2 )
| ( X2
= ( dsetconstr @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl52]) ).
thf(zip_derived_cl52_003,plain,
! [X2: $i,X4: $i] :
( ( in @ ( '#sk15' @ X4 @ X2 ) @ X4 )
| ( X2 = X4 )
| ( in @ ( '#sk15' @ X2 @ X4 ) @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl22_004,plain,
! [X2: $i,X4: $i > $o,X6: $i] :
( ~ ( in @ X6 @ ( dsetconstr @ X2 @ X4 ) )
| ( in @ X6 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl104,plain,
! [X0: $i > $o,X1: $i,X2: $i] :
( ( ( dsetconstr @ X1 @ X0 )
= X2 )
| ( in @ ( '#sk15' @ X2 @ ( dsetconstr @ X1 @ X0 ) ) @ X2 )
| ( in @ ( '#sk15' @ ( dsetconstr @ X1 @ X0 ) @ X2 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl22]) ).
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_cl16,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_cl21,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_cl16]) ).
thf(zip_derived_cl87_005,plain,
! [X0: $i] :
( ( ( '#sk16' @ X0 )
= ( '#sk17' @ X0 ) )
| ~ ( in @ X0 @ '#sk5' ) ),
inference(simplify,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ( '#sk16' @ X0 )
| ~ ( '#sk17' @ X0 )
| ~ ( in @ X0 @ '#sk5' ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl14008,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl55,zip_derived_cl76,zip_derived_cl90,zip_derived_cl26,zip_derived_cl22,zip_derived_cl53,zip_derived_cl278,zip_derived_cl104,zip_derived_cl21,zip_derived_cl89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU558^2 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.frWEWcZqns true
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 Aug 23 20:15:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.20/0.66 % Total configuration time : 828
% 0.20/0.66 % Estimated wc time : 1656
% 0.20/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 56.61/8.09 % Solved by lams/20_acsne_simpl.sh.
% 56.61/8.09 % done 1545 iterations in 7.254s
% 56.61/8.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 56.61/8.09 % SZS output start Refutation
% See solution above
% 56.61/8.10
% 56.61/8.10
% 56.61/8.10 % Terminating...
% 56.89/8.18 % Runner terminated.
% 56.89/8.20 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------