%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV252^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ADdnivaz1L true
% Computer : n006.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 04:57:28 PM UTC 2025
% Result : Theorem 85.99s 11.49s
% Output : Refutation 85.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 47 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 273 ( 8 equ; 0 cnn)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 1012 ( 42 ~; 44 |; 48 &; 626 @)
% ( 7 <=>; 113 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 126 ( 126 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 5 usr; 4 con; 0-2 aty)
% ( 92 !!; 40 ??; 0 @@+; 0 @@-)
% Number of variables : 254 ( 157 ^; 93 !; 4 ?; 254 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk1_type',type,
'#sk1': ( $i > $o ) > $i > $o ).
thf('#sk13_type',type,
'#sk13': ( $i > $o ) > ( $i > $o ) > $i ).
thf('#l_lift14212_type',type,
'#l_lift14212': $i > $o ).
thf('#sk56_type',type,
'#sk56': ( $i > $o ) > $i ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(cTHM2A_EXPANDED_pme,conjecture,
! [K: ( $i > $o ) > $i > $o] :
( ( ! [Xx: $i > $o,Xy: $i > $o] :
( ! [Xx0: $i] :
( ( Xx @ Xx0 )
=> ( Xy @ Xx0 ) )
=> ! [Xx0: $i] :
( ( K @ Xx @ Xx0 )
=> ( K @ Xy @ Xx0 ) ) )
& ! [Xx: $i > $o,Xy: $i > $o] :
( ! [Xx0: $i] :
( ( Xx @ Xx0 )
=> ( Xy @ Xx0 ) )
=> ! [Xx0: $i] :
( ( K @ Xx @ Xx0 )
=> ( K @ Xy @ Xx0 ) ) ) )
=> ! [Xx: $i] :
( ( K
@ ^ [Xx0: $i] :
? [S: $i > $o] :
( ! [Xx1: $i] :
( ( S @ Xx1 )
=> ( K @ S @ Xx1 ) )
& ( S @ Xx0 ) )
@ Xx )
<=> ? [S: $i > $o] :
( ! [Xx0: $i] :
( ( S @ Xx0 )
=> ( K @ S @ Xx0 ) )
& ( S @ Xx ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [K: ( $i > $o ) > $i > $o] :
( ( ! [Xx: $i > $o,Xy: $i > $o] :
( ! [Xx0: $i] :
( ( Xx @ Xx0 )
=> ( Xy @ Xx0 ) )
=> ! [Xx0: $i] :
( ( K @ Xx @ Xx0 )
=> ( K @ Xy @ Xx0 ) ) )
& ! [Xx: $i > $o,Xy: $i > $o] :
( ! [Xx0: $i] :
( ( Xx @ Xx0 )
=> ( Xy @ Xx0 ) )
=> ! [Xx0: $i] :
( ( K @ Xx @ Xx0 )
=> ( K @ Xy @ Xx0 ) ) ) )
=> ! [Xx: $i] :
( ( K
@ ^ [Xx0: $i] :
? [S: $i > $o] :
( ! [Xx1: $i] :
( ( S @ Xx1 )
=> ( K @ S @ Xx1 ) )
& ( S @ Xx0 ) )
@ Xx )
<=> ? [S: $i > $o] :
( ! [Xx0: $i] :
( ( S @ Xx0 )
=> ( K @ S @ Xx0 ) )
& ( S @ Xx ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM2A_EXPANDED_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: ( $i > $o ) > $i > $o] :
( ( ( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( !!
@ ^ [Y3: $i] :
( ( Y0 @ Y1 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
& ( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( !!
@ ^ [Y3: $i] :
( ( Y0 @ Y1 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) )
=> ( !!
@ ^ [Y1: $i] :
( ( Y0
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i > $o] :
( ( !!
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) )
& ( Y3 @ Y2 ) ) )
@ Y1 )
<=> ( ??
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: ( $i > $o ) > $i > $o] :
( ( !!
@ ^ [Y1: $i > $o] :
( !!
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( !!
@ ^ [Y3: $i] :
( ( Y0 @ Y1 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
=> ( !!
@ ^ [Y1: $i] :
( ( Y0
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i > $o] :
( ( !!
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) )
& ( Y3 @ Y2 ) ) )
@ Y1 )
<=> ( ??
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y0 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( '#sk1'
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( '#sk1' @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
<=> ( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y0 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
! [X2: $i > $o] :
( !!
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ X2 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: $i > $o,X4: $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X4 @ Y0 ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk1' @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
! [X2: $i > $o,X4: $i > $o] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X4 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk1' @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl10,plain,
! [X2: $i > $o,X4: $i > $o] :
( ~ ( ( X2 @ ( '#sk13' @ X2 @ X4 ) )
=> ( X4 @ ( '#sk13' @ X2 @ X4 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk1' @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl12,plain,
! [X2: $i > $o,X4: $i > $o] :
( ~ ( X4 @ ( '#sk13' @ X2 @ X4 ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk1' @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl14,plain,
! [X2: $i > $o,X4: $i > $o,X6: $i] :
( ( ( '#sk1' @ X2 @ X6 )
=> ( '#sk1' @ X4 @ X6 ) )
| ~ ( X4 @ ( '#sk13' @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl16,plain,
! [X2: $i > $o,X4: $i > $o,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ( '#sk1' @ X4 @ X6 )
| ~ ( X4 @ ( '#sk13' @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl11,plain,
! [X2: $i > $o,X4: $i > $o] :
( ( X2 @ ( '#sk13' @ X2 @ X4 ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk1' @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl13,plain,
! [X2: $i > $o,X4: $i > $o,X6: $i] :
( ( ( '#sk1' @ X2 @ X6 )
=> ( '#sk1' @ X4 @ X6 ) )
| ( X2 @ ( '#sk13' @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl15,plain,
! [X2: $i > $o,X4: $i > $o,X6: $i] :
( ~ ( '#sk1' @ X2 @ X6 )
| ( '#sk1' @ X4 @ X6 )
| ( X2 @ ( '#sk13' @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( '#sk1'
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( '#sk1' @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 )
<=> ( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
~ ( ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk2' )
<=> ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk2' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
( ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk2' )
!= ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk2' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl4026,plain,
! [X1: $i] :
( ( '#l_lift14212' @ X1 )
= ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl7_001,plain,
! [X2: $i > $o,X4: $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( X4 @ Y0 ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X2 @ Y0 )
=> ( '#sk1' @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl17,plain,
! [X0: $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( ( X0 @ Y0 )
=> ( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X0 @ Y0 )
=> ( '#sk1'
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( '#sk1' @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl19,plain,
! [X0: $i > $o] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( X0 @ Y0 )
=> ( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X0 @ Y0 )
=> ( '#sk1'
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( '#sk1' @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl20,plain,
! [X0: $i > $o] :
( ~ ( ( X0 @ ( '#sk56' @ X0 ) )
=> ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk56' @ X0 ) ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X0 @ Y0 )
=> ( '#sk1'
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( '#sk1' @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl22,plain,
! [X0: $i > $o] :
( ~ ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk56' @ X0 ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X0 @ Y0 )
=> ( '#sk1'
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( '#sk1' @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl24,plain,
! [X0: $i > $o,X2: $i > $o] :
( ~ ( ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( '#sk1' @ X2 @ Y0 ) ) )
& ( X2 @ ( '#sk56' @ X0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X0 @ Y0 )
=> ( '#sk1'
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( '#sk1' @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl27,plain,
! [X0: $i > $o,X2: $i > $o] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( '#sk1' @ X2 @ Y0 ) ) )
| ~ ( X2 @ ( '#sk56' @ X0 ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X0 @ Y0 )
=> ( '#sk1'
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( '#sk1' @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl28,plain,
! [X0: $i > $o,X2: $i > $o] :
( ~ ( ( X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) )
=> ( '#sk1' @ X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X0 @ Y0 )
=> ( '#sk1'
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( '#sk1' @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) )
| ~ ( X2 @ ( '#sk56' @ X0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl29,plain,
! [X0: $i > $o,X2: $i > $o] :
( ( X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) )
| ~ ( X2 @ ( '#sk56' @ X0 ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X0 @ Y0 )
=> ( '#sk1'
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( '#sk1' @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl31,plain,
! [X0: $i > $o,X2: $i > $o,X4: $i] :
( ( ( '#sk1' @ X0 @ X4 )
=> ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X4 ) )
| ~ ( X2 @ ( '#sk56' @ X0 ) )
| ( X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl33,plain,
! [X0: $i > $o,X2: $i > $o,X4: $i] :
( ~ ( '#sk1' @ X0 @ X4 )
| ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X4 )
| ( X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) )
| ~ ( X2 @ ( '#sk56' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl4026_002,plain,
! [X1: $i] :
( ( '#l_lift14212' @ X1 )
= ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl4029,plain,
! [X0: $i > $o,X2: $i > $o,X4: $i] :
( ~ ( '#sk1' @ X0 @ X4 )
| ( '#sk1' @ '#l_lift14212' @ X4 )
| ( X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) )
| ~ ( X2 @ ( '#sk56' @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl33,zip_derived_cl4026]) ).
thf(zip_derived_cl30,plain,
! [X0: $i > $o,X2: $i > $o] :
( ~ ( '#sk1' @ X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) )
| ~ ( X2 @ ( '#sk56' @ X0 ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X0 @ Y0 )
=> ( '#sk1'
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( '#sk1' @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl32,plain,
! [X0: $i > $o,X2: $i > $o,X4: $i] :
( ( ( '#sk1' @ X0 @ X4 )
=> ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X4 ) )
| ~ ( X2 @ ( '#sk56' @ X0 ) )
| ~ ( '#sk1' @ X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl34,plain,
! [X0: $i > $o,X2: $i > $o,X4: $i] :
( ~ ( '#sk1' @ X0 @ X4 )
| ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X4 )
| ~ ( '#sk1' @ X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) )
| ~ ( X2 @ ( '#sk56' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl4026_003,plain,
! [X1: $i] :
( ( '#l_lift14212' @ X1 )
= ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl4030,plain,
! [X0: $i > $o,X2: $i > $o,X4: $i] :
( ~ ( '#sk1' @ X0 @ X4 )
| ( '#sk1' @ '#l_lift14212' @ X4 )
| ~ ( '#sk1' @ X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) )
| ~ ( X2 @ ( '#sk56' @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl34,zip_derived_cl4026]) ).
thf(zip_derived_cl8_004,plain,
( ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk2' )
!= ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk2' ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl4026_005,plain,
! [X1: $i] :
( ( '#l_lift14212' @ X1 )
= ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl4027,plain,
( ( '#sk1' @ '#l_lift14212' @ '#sk2' )
!= ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk2' ) ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl8,zip_derived_cl4026]) ).
thf(zip_derived_cl21,plain,
! [X0: $i > $o] :
( ( X0 @ ( '#sk56' @ X0 ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X0 @ Y0 )
=> ( '#sk1'
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( '#sk1' @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl23,plain,
! [X0: $i > $o,X2: $i] :
( ( ( '#sk1' @ X0 @ X2 )
=> ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 ) )
| ( X0 @ ( '#sk56' @ X0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl26,plain,
! [X0: $i > $o,X2: $i] :
( ~ ( '#sk1' @ X0 @ X2 )
| ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 )
| ( X0 @ ( '#sk56' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl4026_006,plain,
! [X1: $i] :
( ( '#l_lift14212' @ X1 )
= ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl4028,plain,
! [X0: $i > $o,X2: $i] :
( ~ ( '#sk1' @ X0 @ X2 )
| ( '#sk1' @ '#l_lift14212' @ X2 )
| ( X0 @ ( '#sk56' @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl26,zip_derived_cl4026]) ).
thf(zip_derived_cl4046,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl16,zip_derived_cl15,zip_derived_cl4026,zip_derived_cl4029,zip_derived_cl4030,zip_derived_cl4027,zip_derived_cl4028]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEV252^5 : TPTP v9.2.0. Released v4.0.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ADdnivaz1L true
% 0.09/0.30 % Computer : n006.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 15:39:08 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.30 % Python version: Python 3.6.8
% 0.09/0.30 % Running in HO mode
% 0.58/0.60 % Total configuration time : 828
% 0.58/0.60 % Estimated wc time : 1656
% 0.58/0.60 % Estimated cpu time (8 cpus) : 207.0
% 0.99/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.99/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.99/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.99/0.69 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.99/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.99/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.25/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.25/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 85.99/11.49 % Solved by lams/20_acsne_simpl.sh.
% 85.99/11.49 % done 261 iterations in 10.644s
% 85.99/11.49 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 85.99/11.49 % SZS output start Refutation
% See solution above
% 85.99/11.49
% 85.99/11.49
% 85.99/11.49 % Terminating...
% 85.99/11.59 % Runner terminated.
% 85.99/11.61 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------