%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV011^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.m8wTc1T4Kb true
% Computer : n007.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 04:57:00 PM UTC 2025
% Result : Theorem 16.40s 2.69s
% Output : Refutation 16.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 1
% Syntax : Number of formulae : 168 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 897 ( 86 equ; 0 cnn)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 2584 ( 172 ~; 227 |; 51 &;1933 @)
% ( 36 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 64 ( 64 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 7 usr; 4 con; 0-2 aty)
% ( 95 !!; 4 ??; 0 @@+; 0 @@-)
% Number of variables : 481 ( 303 ^; 176 !; 2 ?; 481 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk1_type',type,
'#sk1': a > a > $o ).
thf('#sk9_type',type,
'#sk9': ( a > $o ) > a ).
thf('#_fresh_sk42_type',type,
'#_fresh_sk42': ( a > $o ) > a ).
thf('#_fresh_sk75_type',type,
'#_fresh_sk75': ( a > $o ) > a ).
thf('#sk2_type',type,
'#sk2': a ).
thf('#sk20_type',type,
'#sk20': ( a > $o ) > a ).
thf('#sk16_type',type,
'#sk16': ( a > $o ) > a > $o ).
thf(cTHM260_B_pme,conjecture,
! [R: a > a > $o] :
( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( R @ Xy @ Xz )
& ( R @ Xx @ Xy ) )
=> ( R @ Xx @ Xz ) )
& ! [Xx: a,Xy: a] :
( ( R @ Xx @ Xy )
=> ( R @ Xy @ Xx ) )
& ! [Xx: a] : ( R @ Xx @ Xx ) )
=> ! [Xx: a] :
? [Xp: a > $o] :
( ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( R @ Xx0 @ Xy ) ) )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ( Xq @ Xx )
& ! [Xx0: a] :
( ( Xq @ Xx0 )
=> ! [Xy: a] :
( ( Xq @ Xy )
<=> ( R @ Xx0 @ Xy ) ) ) )
=> ( Xq = Xp ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [R: a > a > $o] :
( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( R @ Xy @ Xz )
& ( R @ Xx @ Xy ) )
=> ( R @ Xx @ Xz ) )
& ! [Xx: a,Xy: a] :
( ( R @ Xx @ Xy )
=> ( R @ Xy @ Xx ) )
& ! [Xx: a] : ( R @ Xx @ Xx ) )
=> ! [Xx: a] :
? [Xp: a > $o] :
( ! [Xx0: a] :
( ( Xp @ Xx0 )
=> ! [Xy: a] :
( ( Xp @ Xy )
<=> ( R @ Xx0 @ Xy ) ) )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ( Xq @ Xx )
& ! [Xx0: a] :
( ( Xq @ Xx0 )
=> ! [Xy: a] :
( ( Xq @ Xy )
<=> ( R @ Xx0 @ Xy ) ) ) )
=> ( Xq = Xp ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM260_B_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( !!
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !!
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
<=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y1 )
& ( !!
@ ^ [Y3: a > $o] :
( ( ( Y3 @ Y1 )
& ( !!
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !!
@ ^ [Y5: a] :
( ( Y3 @ Y5 )
<=> ( Y0 @ Y4 @ Y5 ) ) ) ) ) )
=> ( Y3 = Y2 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] : ( '#sk1' @ Y0 @ Y0 ) ) )
=> ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
<=> ( '#sk1' @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 )
& ( !!
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !!
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
<=> ( '#sk1' @ Y3 @ Y4 ) ) ) ) ) )
=> ( Y2 = Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] : ( '#sk1' @ Y0 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: a] : ( '#sk1' @ Y0 @ Y0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl10,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10_001,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
<=> ( '#sk1' @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 )
& ( !!
@ ^ [Y2: a > $o] :
( ( ( Y2 @ Y0 )
& ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !!
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
<=> ( '#sk1' @ Y3 @ Y4 ) ) ) ) ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl7,plain,
~ ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
<=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ '#sk2' )
& ( !!
@ ^ [Y1: a > $o] :
( ( ( Y1 @ '#sk2' )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
<=> ( '#sk1' @ Y2 @ Y3 ) ) ) ) ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl11,plain,
! [X2: a > $o] :
~ ( ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
<=> ( '#sk1' @ Y0 @ Y1 ) ) ) ) )
& ( X2 @ '#sk2' )
& ( !!
@ ^ [Y0: a > $o] :
( ( ( Y0 @ '#sk2' )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
<=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 = X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl14,plain,
! [X2: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
<=> ( '#sk1' @ Y0 @ Y1 ) ) ) ) )
| ~ ( X2 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( Y0 @ '#sk2' )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
<=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 = X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl17,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ ( '#sk9' @ X2 ) )
=> ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
<=> ( '#sk1' @ ( '#sk9' @ X2 ) @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( Y0 @ '#sk2' )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
<=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 = X2 ) ) )
| ~ ( X2 @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl20,plain,
! [X2: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
<=> ( '#sk1' @ ( '#sk9' @ X2 ) @ Y0 ) ) )
| ~ ( X2 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( Y0 @ '#sk2' )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
<=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 = X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl24,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ ( '#sk20' @ X2 ) )
<=> ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( Y0 @ '#sk2' )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
<=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 = X2 ) ) )
| ~ ( X2 @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl27,plain,
! [X2: a > $o] :
( ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( Y0 @ '#sk2' )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
<=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 = X2 ) ) )
| ~ ( X2 @ '#sk2' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl28,plain,
! [X2: a > $o] :
( ~ ( ( ( '#sk16' @ X2 @ '#sk2' )
& ( !!
@ ^ [Y0: a] :
( ( '#sk16' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk16' @ X2 @ Y1 )
<=> ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) )
=> ( ( '#sk16' @ X2 )
= X2 ) )
| ~ ( X2 @ '#sk2' )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl34,plain,
! [X2: a > $o] :
( ( ( '#sk16' @ X2 )
!= X2 )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) )
| ~ ( X2 @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl38,plain,
! [X2: a > $o] :
( ( ( '#sk16' @ X2 )
!= X2 )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) )
| ~ ( X2 @ '#sk2' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl39,plain,
! [X2: a > $o] :
( ( ( '#sk16' @ X2 @ ( '#_fresh_sk75' @ X2 ) )
!= ( X2 @ ( '#_fresh_sk75' @ X2 ) ) )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) )
| ~ ( X2 @ '#sk2' ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl100,plain,
! [X2: a > $o] :
( ( '#sk16' @ X2 @ ( '#_fresh_sk75' @ X2 ) )
| ( X2 @ ( '#_fresh_sk75' @ X2 ) )
| ~ ( X2 @ '#sk2' )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl549,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk20' @ X2 ) )
| ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) )
| ~ ( X2 @ '#sk2' )
| ( X2 @ ( '#_fresh_sk75' @ X2 ) )
| ( '#sk16' @ X2 @ ( '#_fresh_sk75' @ X2 ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl718,plain,
( ( '#sk16'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ ( '#_fresh_sk75'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) )
| ( ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ ( '#_fresh_sk75'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) )
| ( '#sk1'
@ ( '#sk9'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) )
@ ( '#sk20'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) )
| ( ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ ( '#sk20'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl549]) ).
thf(zip_derived_cl721,plain,
( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl718]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk1' @ Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk1' @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ X2 @ X4 )
=> ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl16,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl730,plain,
( ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl721,zip_derived_cl16]) ).
thf(zip_derived_cl10_002,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl19,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk9' @ X2 ) )
| ~ ( X2 @ '#sk2' )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( Y0 @ '#sk2' )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
<=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
=> ( Y0 = X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl23,plain,
! [X2: a > $o] :
( ~ ( ( ( '#sk16' @ X2 @ '#sk2' )
& ( !!
@ ^ [Y0: a] :
( ( '#sk16' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk16' @ X2 @ Y1 )
<=> ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) )
=> ( ( '#sk16' @ X2 )
= X2 ) )
| ~ ( X2 @ '#sk2' )
| ( X2 @ ( '#sk9' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl25,plain,
! [X2: a > $o] :
( ( ( '#sk16' @ X2 @ '#sk2' )
& ( !!
@ ^ [Y0: a] :
( ( '#sk16' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk16' @ X2 @ Y1 )
<=> ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) )
| ( X2 @ ( '#sk9' @ X2 ) )
| ~ ( X2 @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl29,plain,
! [X2: a > $o] :
( ( '#sk16' @ X2 @ '#sk2' )
| ~ ( X2 @ '#sk2' )
| ( X2 @ ( '#sk9' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl106,plain,
( ( ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ ( '#sk9'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) )
| ( '#sk16'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl29]) ).
thf(zip_derived_cl112,plain,
( ( '#sk1' @ '#sk2' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ '#sk2' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl106]) ).
thf(zip_derived_cl10_003,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl30,plain,
! [X2: a > $o] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk16' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk16' @ X2 @ Y1 )
<=> ( '#sk1' @ Y0 @ Y1 ) ) ) ) )
| ~ ( X2 @ '#sk2' )
| ( X2 @ ( '#sk9' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl35,plain,
! [X2: a > $o,X4: a] :
( ( ( '#sk16' @ X2 @ X4 )
=> ( !!
@ ^ [Y0: a] :
( ( '#sk16' @ X2 @ Y0 )
<=> ( '#sk1' @ X4 @ Y0 ) ) ) )
| ( X2 @ ( '#sk9' @ X2 ) )
| ~ ( X2 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl40,plain,
! [X2: a > $o,X4: a] :
( ~ ( '#sk16' @ X2 @ X4 )
| ( !!
@ ^ [Y0: a] :
( ( '#sk16' @ X2 @ Y0 )
<=> ( '#sk1' @ X4 @ Y0 ) ) )
| ~ ( X2 @ '#sk2' )
| ( X2 @ ( '#sk9' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl42,plain,
! [X2: a > $o,X4: a,X6: a] :
( ( ( '#sk16' @ X2 @ X6 )
<=> ( '#sk1' @ X4 @ X6 ) )
| ( X2 @ ( '#sk9' @ X2 ) )
| ~ ( X2 @ '#sk2' )
| ~ ( '#sk16' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl44,plain,
! [X2: a > $o,X4: a,X6: a] :
( ( ( '#sk16' @ X2 @ X6 )
= ( '#sk1' @ X4 @ X6 ) )
| ( X2 @ ( '#sk9' @ X2 ) )
| ~ ( X2 @ '#sk2' )
| ~ ( '#sk16' @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl145,plain,
! [X0: a,X1: a] :
( ~ ( '#sk16'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ X0 )
| ( ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ ( '#sk9'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) )
| ( ( '#sk16'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ X1 )
= ( '#sk1' @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl44]) ).
thf(zip_derived_cl152,plain,
! [X0: a,X1: a] :
( ~ ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X0 )
| ( '#sk1' @ '#sk2' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) )
| ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X1 )
= ( '#sk1' @ X0 @ X1 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl145]) ).
thf(zip_derived_cl339,plain,
! [X0: a] :
( ( '#sk1' @ '#sk2' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) )
| ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X0 )
= ( '#sk1' @ '#sk2' @ X0 ) )
| ( '#sk1' @ '#sk2' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl152]) ).
thf(zip_derived_cl350,plain,
! [X0: a] :
( ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X0 )
= ( '#sk1' @ '#sk2' @ X0 ) )
| ( '#sk1' @ '#sk2' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl339]) ).
thf(zip_derived_cl10_004,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl26,plain,
! [X2: a > $o] :
( ( ( '#sk16' @ X2 )
!= X2 )
| ( X2 @ ( '#sk9' @ X2 ) )
| ~ ( X2 @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl31,plain,
! [X2: a > $o] :
( ( ( '#sk16' @ X2 )
!= X2 )
| ( X2 @ ( '#sk9' @ X2 ) )
| ~ ( X2 @ '#sk2' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl32,plain,
! [X2: a > $o] :
( ( ( '#sk16' @ X2 @ ( '#_fresh_sk42' @ X2 ) )
!= ( X2 @ ( '#_fresh_sk42' @ X2 ) ) )
| ( X2 @ ( '#sk9' @ X2 ) )
| ~ ( X2 @ '#sk2' ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl120,plain,
( ( ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ ( '#sk9'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) )
| ( ( '#sk16'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ ( '#_fresh_sk42'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) )
!= ( ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ ( '#_fresh_sk42'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl32]) ).
thf(zip_derived_cl123,plain,
( ( '#sk1' @ '#sk2' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) )
| ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk42' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ '#sk2' @ ( '#_fresh_sk42' @ ( '#sk1' @ '#sk2' ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl120]) ).
thf(zip_derived_cl357,plain,
( ( ( '#sk1' @ '#sk2' @ ( '#_fresh_sk42' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ '#sk2' @ ( '#_fresh_sk42' @ ( '#sk1' @ '#sk2' ) ) ) )
| ( '#sk1' @ '#sk2' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ '#sk2' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl350,zip_derived_cl123]) ).
thf(zip_derived_cl378,plain,
'#sk1' @ '#sk2' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ),
inference(simplify,[status(thm)],[zip_derived_cl357]) ).
thf(zip_derived_cl16_005,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl393,plain,
'#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ '#sk2',
inference('sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl16]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y1 @ Y2 )
& ( '#sk1' @ Y0 @ Y1 ) )
=> ( '#sk1' @ Y0 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl8,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk1' @ Y0 @ Y1 )
& ( '#sk1' @ X2 @ Y0 ) )
=> ( '#sk1' @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl12,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a] :
( ( ( '#sk1' @ X4 @ Y0 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl15,plain,
! [X2: a,X4: a,X6: a] :
( ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
=> ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl18,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( ( '#sk1' @ X4 @ X6 )
& ( '#sk1' @ X2 @ X4 ) )
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl21,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk1' @ X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl396,plain,
! [X0: a] :
( ( '#sk1' @ X0 @ '#sk2' )
| ~ ( '#sk1' @ X0 @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl21]) ).
thf(zip_derived_cl777,plain,
( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl730,zip_derived_cl396]) ).
thf(zip_derived_cl16_006,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl791,plain,
( ( '#sk1' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) @ '#sk2' )
| ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl777,zip_derived_cl16]) ).
thf(zip_derived_cl378_007,plain,
'#sk1' @ '#sk2' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ),
inference(simplify,[status(thm)],[zip_derived_cl357]) ).
thf(zip_derived_cl21_008,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk1' @ X4 @ X6 )
| ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl392,plain,
! [X0: a] :
( ( '#sk1' @ X0 @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) )
| ~ ( '#sk1' @ X0 @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl21]) ).
thf(zip_derived_cl16_009,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl418,plain,
! [X0: a] :
( ~ ( '#sk1' @ X0 @ '#sk2' )
| ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl16]) ).
thf(zip_derived_cl792,plain,
( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl791,zip_derived_cl418]) ).
thf(zip_derived_cl10_010,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl39_011,plain,
! [X2: a > $o] :
( ( ( '#sk16' @ X2 @ ( '#_fresh_sk75' @ X2 ) )
!= ( X2 @ ( '#_fresh_sk75' @ X2 ) ) )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) )
| ~ ( X2 @ '#sk2' ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl107,plain,
( ( ( ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ ( '#sk20'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) )
!= ( '#sk1'
@ ( '#sk9'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) )
@ ( '#sk20'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ) )
| ( ( '#sk16'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ ( '#_fresh_sk75'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) )
!= ( ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ ( '#_fresh_sk75'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl39]) ).
thf(zip_derived_cl113,plain,
( ( ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) )
| ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl186,plain,
( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl899,plain,
( ~ ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl792,zip_derived_cl186]) ).
thf(zip_derived_cl903,plain,
( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ~ ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl899]) ).
thf(zip_derived_cl791_012,plain,
( ( '#sk1' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) @ '#sk2' )
| ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl777,zip_derived_cl16]) ).
thf(zip_derived_cl16_013,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl798,plain,
( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl791,zip_derived_cl16]) ).
thf(zip_derived_cl905,plain,
( ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl903,zip_derived_cl798]) ).
thf(zip_derived_cl10_014,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl33,plain,
! [X2: a > $o] :
( ( ( '#sk16' @ X2 @ '#sk2' )
& ( !!
@ ^ [Y0: a] :
( ( '#sk16' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk16' @ X2 @ Y1 )
<=> ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) )
| ~ ( X2 @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl36,plain,
! [X2: a > $o] :
( ( '#sk16' @ X2 @ '#sk2' )
| ~ ( X2 @ '#sk2' )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl195,plain,
( ( ( ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ ( '#sk20'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) )
!= ( '#sk1'
@ ( '#sk9'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) )
@ ( '#sk20'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ) )
| ( '#sk16'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl36]) ).
thf(zip_derived_cl199,plain,
( ( ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) )
| ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ '#sk2' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl195]) ).
thf(zip_derived_cl201,plain,
( ~ ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ~ ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ '#sk2' ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl199]) ).
thf(zip_derived_cl10_015,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl396_016,plain,
! [X0: a] :
( ( '#sk1' @ X0 @ '#sk2' )
| ~ ( '#sk1' @ X0 @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl21]) ).
thf(zip_derived_cl199_017,plain,
( ( ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) )
| ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ '#sk2' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl195]) ).
thf(zip_derived_cl200,plain,
( ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ '#sk2' ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl199]) ).
thf(zip_derived_cl16_018,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl238,plain,
( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ '#sk2' )
| ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl16]) ).
thf(zip_derived_cl400,plain,
( ( '#sk1' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) @ '#sk2' )
| ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ '#sk2' ) ),
inference('sup+',[status(thm)],[zip_derived_cl396,zip_derived_cl238]) ).
thf(zip_derived_cl16_019,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl424,plain,
( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ '#sk2' )
| ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl400,zip_derived_cl16]) ).
thf(zip_derived_cl10_020,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl37,plain,
! [X2: a > $o] :
( ( !!
@ ^ [Y0: a] :
( ( '#sk16' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk16' @ X2 @ Y1 )
<=> ( '#sk1' @ Y0 @ Y1 ) ) ) ) )
| ~ ( X2 @ '#sk2' )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl41,plain,
! [X2: a > $o,X4: a] :
( ( ( '#sk16' @ X2 @ X4 )
=> ( !!
@ ^ [Y0: a] :
( ( '#sk16' @ X2 @ Y0 )
<=> ( '#sk1' @ X4 @ Y0 ) ) ) )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) )
| ~ ( X2 @ '#sk2' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl43,plain,
! [X2: a > $o,X4: a] :
( ~ ( '#sk16' @ X2 @ X4 )
| ( !!
@ ^ [Y0: a] :
( ( '#sk16' @ X2 @ Y0 )
<=> ( '#sk1' @ X4 @ Y0 ) ) )
| ~ ( X2 @ '#sk2' )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl45,plain,
! [X2: a > $o,X4: a,X6: a] :
( ( ( '#sk16' @ X2 @ X6 )
<=> ( '#sk1' @ X4 @ X6 ) )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) )
| ~ ( X2 @ '#sk2' )
| ~ ( '#sk16' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl46,plain,
! [X2: a > $o,X4: a,X6: a] :
( ( ( '#sk16' @ X2 @ X6 )
= ( '#sk1' @ X4 @ X6 ) )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) )
| ~ ( X2 @ '#sk2' )
| ~ ( '#sk16' @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl226,plain,
! [X0: a,X1: a] :
( ~ ( '#sk16'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ X0 )
| ( ( ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ ( '#sk20'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) )
!= ( '#sk1'
@ ( '#sk9'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) )
@ ( '#sk20'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ) )
| ( ( '#sk16'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ X1 )
= ( '#sk1' @ X0 @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl46]) ).
thf(zip_derived_cl231,plain,
! [X0: a,X1: a] :
( ~ ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X0 )
| ( ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) )
| ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X1 )
= ( '#sk1' @ X0 @ X1 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl226]) ).
thf(zip_derived_cl531,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X1 )
= ( '#sk1' @ X0 @ X1 ) )
| ~ ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X0 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl231]) ).
thf(zip_derived_cl2560,plain,
! [X0: a] :
( ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X0 )
= ( '#sk1' @ '#sk2' @ X0 ) )
| ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl424,zip_derived_cl531]) ).
thf(zip_derived_cl2571,plain,
! [X0: a] :
( ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X0 )
= ( '#sk1' @ '#sk2' @ X0 ) )
| ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2560]) ).
thf(zip_derived_cl16_021,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl2617,plain,
! [X0: a] :
( ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X0 )
= ( '#sk1' @ '#sk2' @ X0 ) )
| ( '#sk1' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2571,zip_derived_cl16]) ).
thf(zip_derived_cl396_022,plain,
! [X0: a] :
( ( '#sk1' @ X0 @ '#sk2' )
| ~ ( '#sk1' @ X0 @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl21]) ).
thf(zip_derived_cl2706,plain,
! [X0: a] :
( ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X0 )
= ( '#sk1' @ '#sk2' @ X0 ) )
| ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl2617,zip_derived_cl396]) ).
thf(zip_derived_cl16_023,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl2737,plain,
! [X0: a] :
( ( '#sk1' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) @ '#sk2' )
| ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X0 )
= ( '#sk1' @ '#sk2' @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2706,zip_derived_cl16]) ).
thf(zip_derived_cl2751,plain,
! [X0: a] :
( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X0 )
| ~ ( '#sk1' @ '#sk2' @ X0 )
| ( '#sk1' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) @ '#sk2' ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl2737]) ).
thf(zip_derived_cl2815,plain,
( ( '#sk1' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) @ '#sk2' )
| ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl2751]) ).
thf(zip_derived_cl418_024,plain,
! [X0: a] :
( ~ ( '#sk1' @ X0 @ '#sk2' )
| ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl16]) ).
thf(zip_derived_cl2842,plain,
( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ '#sk2' )
| ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2815,zip_derived_cl418]) ).
thf(zip_derived_cl2892,plain,
( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ '#sk2' )
| ~ ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ '#sk2' ) ),
inference('sup+',[status(thm)],[zip_derived_cl201,zip_derived_cl2842]) ).
thf(zip_derived_cl2914,plain,
( ~ ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ '#sk2' ) ),
inference(simplify,[status(thm)],[zip_derived_cl2892]) ).
thf(zip_derived_cl424_025,plain,
( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ '#sk2' )
| ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl400,zip_derived_cl16]) ).
thf(zip_derived_cl2933,plain,
'#sk16' @ ( '#sk1' @ '#sk2' ) @ '#sk2',
inference(clc,[status(thm)],[zip_derived_cl2914,zip_derived_cl424]) ).
thf(zip_derived_cl10_026,plain,
! [X2: a] : ( '#sk1' @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl46_027,plain,
! [X2: a > $o,X4: a,X6: a] :
( ( ( '#sk16' @ X2 @ X6 )
= ( '#sk1' @ X4 @ X6 ) )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) )
| ~ ( X2 @ '#sk2' )
| ~ ( '#sk16' @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl217,plain,
! [X2: a > $o,X4: a,X6: a] :
( ~ ( '#sk16' @ X2 @ X6 )
| ( '#sk1' @ X4 @ X6 )
| ~ ( '#sk16' @ X2 @ X4 )
| ~ ( X2 @ '#sk2' )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl311,plain,
! [X0: a,X1: a] :
( ( ( ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ ( '#sk20'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) )
!= ( '#sk1'
@ ( '#sk9'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) )
@ ( '#sk20'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ) )
| ~ ( '#sk16'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ X0 )
| ( '#sk1' @ X0 @ X1 )
| ~ ( '#sk16'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl217]) ).
thf(zip_derived_cl316,plain,
! [X0: a,X1: a] :
( ( ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) )
| ~ ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X0 )
| ( '#sk1' @ X0 @ X1 )
| ~ ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl311]) ).
thf(zip_derived_cl2737_028,plain,
! [X0: a] :
( ( '#sk1' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) @ '#sk2' )
| ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X0 )
= ( '#sk1' @ '#sk2' @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2706,zip_derived_cl16]) ).
thf(zip_derived_cl16_029,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl2750,plain,
! [X0: a] :
( ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X0 )
= ( '#sk1' @ '#sk2' @ X0 ) )
| ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2737,zip_derived_cl16]) ).
thf(zip_derived_cl113_030,plain,
( ( ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) )
| ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl184,plain,
( ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl2769,plain,
( ( ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) ) )
| ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2750,zip_derived_cl184]) ).
thf(zip_derived_cl2790,plain,
( ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl2769]) ).
thf(zip_derived_cl16_031,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl3024,plain,
( ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2790,zip_derived_cl16]) ).
thf(zip_derived_cl396_032,plain,
! [X0: a] :
( ( '#sk1' @ X0 @ '#sk2' )
| ~ ( '#sk1' @ X0 @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl21]) ).
thf(zip_derived_cl3186,plain,
( ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl3024,zip_derived_cl396]) ).
thf(zip_derived_cl16_033,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl3209,plain,
'#sk1' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) @ '#sk2',
inference(clc,[status(thm)],[zip_derived_cl3186,zip_derived_cl16]) ).
thf(zip_derived_cl16_034,plain,
! [X2: a,X4: a] :
( ~ ( '#sk1' @ X2 @ X4 )
| ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl3221,plain,
'#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl3209,zip_derived_cl16]) ).
thf(zip_derived_cl3258,plain,
! [X0: a,X1: a] :
( ~ ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ~ ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X0 )
| ( '#sk1' @ X0 @ X1 )
| ~ ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl316,zip_derived_cl3221]) ).
thf(zip_derived_cl3209_035,plain,
'#sk1' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) @ '#sk2',
inference(clc,[status(thm)],[zip_derived_cl3186,zip_derived_cl16]) ).
thf(zip_derived_cl418_036,plain,
! [X0: a] :
( ~ ( '#sk1' @ X0 @ '#sk2' )
| ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl392,zip_derived_cl16]) ).
thf(zip_derived_cl3213,plain,
'#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl3209,zip_derived_cl418]) ).
thf(zip_derived_cl3443,plain,
! [X0: a,X1: a] :
( ~ ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X0 )
| ( '#sk1' @ X0 @ X1 )
| ~ ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3258,zip_derived_cl3213]) ).
thf(zip_derived_cl3447,plain,
! [X0: a] :
( ~ ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ X0 )
| ( '#sk1' @ '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2933,zip_derived_cl3443]) ).
thf(zip_derived_cl3460,plain,
( ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl905,zip_derived_cl3447]) ).
thf(zip_derived_cl3472,plain,
'#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ),
inference(simplify,[status(thm)],[zip_derived_cl3460]) ).
thf(zip_derived_cl46_037,plain,
! [X2: a > $o,X4: a,X6: a] :
( ( ( '#sk16' @ X2 @ X6 )
= ( '#sk1' @ X4 @ X6 ) )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) )
| ~ ( X2 @ '#sk2' )
| ~ ( '#sk16' @ X2 @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl216,plain,
! [X2: a > $o,X4: a,X6: a] :
( ( '#sk16' @ X2 @ X6 )
| ~ ( '#sk1' @ X4 @ X6 )
| ~ ( '#sk16' @ X2 @ X4 )
| ~ ( X2 @ '#sk2' )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl3545,plain,
! [X0: a > $o] :
( ( ( X0 @ ( '#sk20' @ X0 ) )
!= ( '#sk1' @ ( '#sk9' @ X0 ) @ ( '#sk20' @ X0 ) ) )
| ~ ( X0 @ '#sk2' )
| ~ ( '#sk16' @ X0 @ '#sk2' )
| ( '#sk16' @ X0 @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3472,zip_derived_cl216]) ).
thf(zip_derived_cl36_038,plain,
! [X2: a > $o] :
( ( '#sk16' @ X2 @ '#sk2' )
| ~ ( X2 @ '#sk2' )
| ( ( X2 @ ( '#sk20' @ X2 ) )
!= ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk20' @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl3773,plain,
! [X0: a > $o] :
( ( '#sk16' @ X0 @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
| ~ ( X0 @ '#sk2' )
| ( ( X0 @ ( '#sk20' @ X0 ) )
!= ( '#sk1' @ ( '#sk9' @ X0 ) @ ( '#sk20' @ X0 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3545,zip_derived_cl36]) ).
thf(zip_derived_cl3779,plain,
( ( ( ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ ( '#sk20'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) )
!= ( '#sk1'
@ ( '#sk9'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) )
@ ( '#sk20'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ) )
| ( '#sk16'
@ ^ [Y0: a] :
( '#sk1'
@ ( ^ [Y1: a] :
( ^ [Y2: a] : '#sk2'
@ Y1 )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl3773]) ).
thf(zip_derived_cl3783,plain,
( ( ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) )
| ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl3779]) ).
thf(zip_derived_cl3221_039,plain,
'#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl3209,zip_derived_cl16]) ).
thf(zip_derived_cl3213_040,plain,
'#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl3209,zip_derived_cl418]) ).
thf(zip_derived_cl113_041,plain,
( ( ( '#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) ) )
| ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl3221_042,plain,
'#sk1' @ '#sk2' @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl3209,zip_derived_cl16]) ).
thf(zip_derived_cl3253,plain,
( ~ ( '#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ) )
| ( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl3221]) ).
thf(zip_derived_cl3213_043,plain,
'#sk1' @ ( '#sk9' @ ( '#sk1' @ '#sk2' ) ) @ ( '#sk20' @ ( '#sk1' @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl3209,zip_derived_cl418]) ).
thf(zip_derived_cl3320,plain,
( ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) )
!= ( '#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3253,zip_derived_cl3213]) ).
thf(zip_derived_cl3472_044,plain,
'#sk1' @ '#sk2' @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ),
inference(simplify,[status(thm)],[zip_derived_cl3460]) ).
thf(zip_derived_cl3525,plain,
~ ( '#sk16' @ ( '#sk1' @ '#sk2' ) @ ( '#_fresh_sk75' @ ( '#sk1' @ '#sk2' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3320,zip_derived_cl3472]) ).
thf(zip_derived_cl3784,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3783,zip_derived_cl3221,zip_derived_cl3213,zip_derived_cl3525]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEV011^5 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.m8wTc1T4Kb true
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 15:37:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.55/0.67 % Total configuration time : 828
% 0.55/0.67 % Estimated wc time : 1656
% 0.55/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 16.40/2.69 % Solved by lams/20_acsne_simpl.sh.
% 16.40/2.69 % done 853 iterations in 1.895s
% 16.40/2.69 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 16.40/2.69 % SZS output start Refutation
% See solution above
% 16.40/2.69
% 16.40/2.69
% 16.40/2.69 % Terminating...
% 16.95/2.78 % Runner terminated.
% 16.95/2.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------