%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV245^5 : 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.N819yRi6OO true
% Computer : n014.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 04:57:27 PM UTC 2025
% Result : Theorem 46.74s 7.22s
% Output : Refutation 46.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 50 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 384 ( 3 equ; 0 cnn)
% Maximal formula atoms : 18 ( 7 avg)
% Number of connectives : 1019 ( 39 ~; 40 |; 51 &; 629 @)
% ( 0 <=>; 120 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 83 ( 83 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 6 usr; 4 con; 0-2 aty)
% ( 96 !!; 44 ??; 0 @@+; 0 @@-)
% Number of variables : 220 ( 171 ^; 45 !; 4 ?; 220 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk2_type',type,
'#sk2': $i ).
thf('#l_lift11342_type',type,
'#l_lift11342': $i > $o ).
thf('#sk99_type',type,
'#sk99': ( $i > $o ) > $i ).
thf('#sk9_type',type,
'#sk9': $i > $o ).
thf('#sk14_type',type,
'#sk14': ( $i > $o ) > ( $i > $o ) > $i ).
thf('#sk1_type',type,
'#sk1': ( $i > $o ) > $i > $o ).
thf(cTHM2A_TWO_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] :
( ? [S: $i > $o] :
( ! [Xx0: $i] :
( ( S @ Xx0 )
=> ( K @ S @ Xx0 ) )
& ( S @ Xx ) )
=> ( K
@ ^ [Xx0: $i] :
? [S: $i > $o] :
( ! [Xx1: $i] :
( ( S @ Xx1 )
=> ( K @ S @ Xx1 ) )
& ( S @ Xx0 ) )
@ 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] :
( ? [S: $i > $o] :
( ! [Xx0: $i] :
( ( S @ Xx0 )
=> ( K @ S @ Xx0 ) )
& ( S @ Xx ) )
=> ( K
@ ^ [Xx0: $i] :
? [S: $i > $o] :
( ! [Xx1: $i] :
( ( S @ Xx1 )
=> ( K @ S @ Xx1 ) )
& ( S @ Xx0 ) )
@ Xx ) ) ),
inference('cnf.neg',[status(esa)],[cTHM2A_TWO_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] :
( ( ??
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( Y0 @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
=> ( Y0
@ ^ [Y2: $i] :
( ??
@ ^ [Y3: $i > $o] :
( ( !!
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
=> ( Y0 @ Y3 @ Y4 ) ) )
& ( Y3 @ Y2 ) ) )
@ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y0 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ 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_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ 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_cl1]) ).
thf(zip_derived_cl5,plain,
~ ( ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk2' ) ) )
=> ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ '#sk2' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
( ( !!
@ ^ [Y0: $i] :
( ( '#sk9' @ Y0 )
=> ( '#sk1' @ '#sk9' @ Y0 ) ) )
& ( '#sk9' @ '#sk2' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl15,plain,
'#sk9' @ '#sk2',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl8,plain,
~ ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl8_001,plain,
~ ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ '#sk2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl5379,plain,
! [X1: $i] :
( ( '#l_lift11342' @ X1 )
= ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl5380,plain,
~ ( '#sk1' @ '#l_lift11342' @ '#sk2' ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl8,zip_derived_cl5379]) ).
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 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,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_cl2]) ).
thf(zip_derived_cl11,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( '#sk9' @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ '#sk9' @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl34,plain,
! [X2: $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( ( '#sk9' @ Y0 )
=> ( X2 @ Y0 ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk9' @ Y0 )
=> ( '#sk1' @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl35,plain,
( ( !!
@ ^ [Y0: $i] :
( ( '#sk9' @ Y0 )
=> ( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
=> ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk9' @ 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_cl34]) ).
thf(zip_derived_cl71,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk9' @ Y0 )
=> ( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk9' @ 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_cl35]) ).
thf(zip_derived_cl72,plain,
( ~ ( ( '#sk9' @ ( '#sk99' @ '#sk9' ) )
=> ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk99' @ '#sk9' ) ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk9' @ 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_cl71]) ).
thf(zip_derived_cl74,plain,
( ~ ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk99' @ '#sk9' ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk9' @ 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_cl72]) ).
thf(zip_derived_cl76,plain,
! [X2: $i > $o] :
( ~ ( ( !!
@ ^ [Y0: $i] :
( ( X2 @ Y0 )
=> ( '#sk1' @ X2 @ Y0 ) ) )
& ( X2 @ ( '#sk99' @ '#sk9' ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk9' @ 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_cl74]) ).
thf(zip_derived_cl78,plain,
( ~ ( ( !!
@ ^ [Y0: $i] :
( ( '#sk9' @ Y0 )
=> ( '#sk1' @ '#sk9' @ Y0 ) ) )
& ( '#sk9' @ ( '#sk99' @ '#sk9' ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk9' @ 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_cl76]) ).
thf(zip_derived_cl88,plain,
( ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk9' @ Y0 )
=> ( '#sk1' @ '#sk9' @ Y0 ) ) )
| ~ ( '#sk9' @ ( '#sk99' @ '#sk9' ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk9' @ 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_cl78]) ).
thf(zip_derived_cl89,plain,
( ~ ( ( '#sk9' @ ( '#sk14' @ '#sk9' @ ( '#sk1' @ '#sk9' ) ) )
=> ( '#sk1' @ '#sk9' @ ( '#sk14' @ '#sk9' @ ( '#sk1' @ '#sk9' ) ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk9' @ Y0 )
=> ( '#sk1'
@ ^ [Y1: $i] :
( ??
@ ^ [Y2: $i > $o] :
( ( !!
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
=> ( '#sk1' @ Y2 @ Y3 ) ) )
& ( Y2 @ Y1 ) ) )
@ Y0 ) ) )
| ~ ( '#sk9' @ ( '#sk99' @ '#sk9' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl90,plain,
( ( '#sk9' @ ( '#sk14' @ '#sk9' @ ( '#sk1' @ '#sk9' ) ) )
| ~ ( '#sk9' @ ( '#sk99' @ '#sk9' ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk9' @ 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_cl89]) ).
thf(zip_derived_cl92,plain,
! [X2: $i] :
( ( ( '#sk1' @ '#sk9' @ X2 )
=> ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 ) )
| ~ ( '#sk9' @ ( '#sk99' @ '#sk9' ) )
| ( '#sk9' @ ( '#sk14' @ '#sk9' @ ( '#sk1' @ '#sk9' ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl94,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk9' @ X2 )
| ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 )
| ( '#sk9' @ ( '#sk14' @ '#sk9' @ ( '#sk1' @ '#sk9' ) ) )
| ~ ( '#sk9' @ ( '#sk99' @ '#sk9' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl92]) ).
thf(zip_derived_cl4_002,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_cl2]) ).
thf(zip_derived_cl6,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_cl4]) ).
thf(zip_derived_cl24,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_cl6]) ).
thf(zip_derived_cl46,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_cl24]) ).
thf(zip_derived_cl47,plain,
! [X0: $i > $o] :
( ~ ( ( X0 @ ( '#sk99' @ X0 ) )
=> ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ ( '#sk99' @ 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_cl46]) ).
thf(zip_derived_cl48,plain,
! [X0: $i > $o] :
( ( X0 @ ( '#sk99' @ 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_cl47]) ).
thf(zip_derived_cl50,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 @ ( '#sk99' @ X0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl54,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 @ ( '#sk99' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl96,plain,
! [X2: $i] :
( ( '#sk9' @ ( '#sk14' @ '#sk9' @ ( '#sk1' @ '#sk9' ) ) )
| ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 )
| ~ ( '#sk1' @ '#sk9' @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl94,zip_derived_cl54]) ).
thf(zip_derived_cl5379_003,plain,
! [X1: $i] :
( ( '#l_lift11342' @ X1 )
= ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl5384,plain,
! [X2: $i] :
( ( '#sk9' @ ( '#sk14' @ '#sk9' @ ( '#sk1' @ '#sk9' ) ) )
| ( '#sk1' @ '#l_lift11342' @ X2 )
| ~ ( '#sk1' @ '#sk9' @ X2 ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl96,zip_derived_cl5379]) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: $i] :
( ( '#sk9' @ Y0 )
=> ( '#sk1' @ '#sk9' @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl18,plain,
! [X2: $i] :
( ( '#sk9' @ X2 )
=> ( '#sk1' @ '#sk9' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl21,plain,
! [X2: $i] :
( ~ ( '#sk9' @ X2 )
| ( '#sk1' @ '#sk9' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl91,plain,
( ~ ( '#sk1' @ '#sk9' @ ( '#sk14' @ '#sk9' @ ( '#sk1' @ '#sk9' ) ) )
| ~ ( '#sk9' @ ( '#sk99' @ '#sk9' ) )
| ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ '#sk9' @ 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_cl89]) ).
thf(zip_derived_cl93,plain,
! [X2: $i] :
( ( ( '#sk1' @ '#sk9' @ X2 )
=> ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 ) )
| ~ ( '#sk9' @ ( '#sk99' @ '#sk9' ) )
| ~ ( '#sk1' @ '#sk9' @ ( '#sk14' @ '#sk9' @ ( '#sk1' @ '#sk9' ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl95,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk9' @ X2 )
| ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 )
| ~ ( '#sk1' @ '#sk9' @ ( '#sk14' @ '#sk9' @ ( '#sk1' @ '#sk9' ) ) )
| ~ ( '#sk9' @ ( '#sk99' @ '#sk9' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl93]) ).
thf(zip_derived_cl54_004,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 @ ( '#sk99' @ X0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl97,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk9' @ ( '#sk14' @ '#sk9' @ ( '#sk1' @ '#sk9' ) ) )
| ( '#sk1'
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
=> ( '#sk1' @ Y1 @ Y2 ) ) )
& ( Y1 @ Y0 ) ) )
@ X2 )
| ~ ( '#sk1' @ '#sk9' @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl95,zip_derived_cl54]) ).
thf(zip_derived_cl5379_005,plain,
! [X1: $i] :
( ( '#l_lift11342' @ X1 )
= ( ??
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
=> ( '#sk1' @ Y0 @ Y1 ) ) )
& ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl5385,plain,
! [X2: $i] :
( ~ ( '#sk1' @ '#sk9' @ ( '#sk14' @ '#sk9' @ ( '#sk1' @ '#sk9' ) ) )
| ( '#sk1' @ '#l_lift11342' @ X2 )
| ~ ( '#sk1' @ '#sk9' @ X2 ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl97,zip_derived_cl5379]) ).
thf(zip_derived_cl5400,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl15,zip_derived_cl5380,zip_derived_cl5384,zip_derived_cl21,zip_derived_cl5385]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEV245^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.N819yRi6OO true
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 15:40:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.55/0.66 % Total configuration time : 828
% 0.55/0.66 % Estimated wc time : 1656
% 0.55/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 46.74/7.22 % Solved by lams/20_acsne_simpl.sh.
% 46.74/7.22 % done 370 iterations in 6.361s
% 46.74/7.22 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 46.74/7.22 % SZS output start Refutation
% See solution above
% 46.74/7.22
% 46.74/7.22
% 46.74/7.22 % Terminating...
% 47.34/7.44 % Runner terminated.
% 47.34/7.44 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------