%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO269^5 : 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.3Dw87NYsGc true
% Computer : n011.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 05:07:08 PM UTC 2025
% Result : Theorem 65.65s 8.90s
% Output : Refutation 65.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 20
% Syntax : Number of formulae : 53 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 59 ( 14 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 684 ( 54 ~; 71 |; 8 &; 547 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 248 ( 248 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 1 con; 0-3 aty)
% Number of variables : 238 ( 103 ^; 131 !; 4 ?; 238 :)
% Comments :
%------------------------------------------------------------------------------
thf('#l_lift39621_type',type,
'#l_lift39621': ( $i > $i ) > $i > $o ).
thf(sk__type,type,
sk_: $i > $o ).
thf(sk__1_type,type,
sk__1: ( ( $i > $i ) > $i > $o ) > ( ( $i > $i ) > $i > $o ) > $i > $i ).
thf('#l_lift39620_type',type,
'#l_lift39620': ( ( $i > $i ) > $i > $o ) > ( ( $i > $i ) > $i > $o ) > $i > $i ).
thf(sk__2_type,type,
sk__2: ( ( $i > $i ) > $i > $o ) > ( ( $i > $i ) > $i > $o ) > $i > $i ).
thf('#l_lift39619_type',type,
'#l_lift39619': $i > $i ).
thf(sk__3_type,type,
sk__3: ( ( $i > $i ) > $i > $o ) > ( ( $i > $i ) > $i > $o ) > $i ).
thf('#l_lift39622_type',type,
'#l_lift39622': ( $i > $i ) > $i > $o ).
thf(sk__5_type,type,
sk__5: ( ( $i > $i ) > $i > $o ) > ( ( $i > $i ) > $i > $o ) > $i ).
thf(sk__4_type,type,
sk__4: ( ( $i > $i ) > $i > $o ) > ( ( $i > $i ) > $i > $o ) > $i ).
thf('#l_lift39623_type',type,
'#l_lift39623': $o > ( $i > $i ) > $i > $o ).
thf(cTHM112D,conjecture,
! [P: $i > $o] :
? [Xm_9: ( $i > $i ) > $i > $o,Xm_10: ( $i > $i ) > $i > $o] :
( ! [G: $i > $i,H: $i > $i] :
( ( ! [Xw_1: $i] :
( ( Xm_10 @ G @ Xw_1 )
| ( Xm_9 @ G @ Xw_1 ) )
& ! [Xw_1: $i] :
( ( Xm_10 @ G @ Xw_1 )
| ( Xm_9 @ G @ Xw_1 ) )
& ! [Xw_1: $i] :
( ( Xm_10 @ H @ Xw_1 )
| ( Xm_9 @ H @ Xw_1 ) ) )
=> ( ! [Xw_1: $i] :
( ( Xm_10
@ ^ [Xx: $i] : ( G @ ( H @ Xx ) )
@ Xw_1 )
| ( Xm_9
@ ^ [Xx: $i] : ( G @ ( H @ Xx ) )
@ Xw_1 ) )
& ! [Y: $i] :
( ( P @ Y )
=> ( P @ ( G @ Y ) ) ) ) )
& ! [Xw_1: $i] :
( ( Xm_10
@ ^ [Xx: $i] : Xx
@ Xw_1 )
| ( Xm_9
@ ^ [Xx: $i] : Xx
@ Xw_1 ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [P: $i > $o] :
? [Xm_9: ( $i > $i ) > $i > $o,Xm_10: ( $i > $i ) > $i > $o] :
( ! [G: $i > $i,H: $i > $i] :
( ( ! [Xw_1: $i] :
( ( Xm_10 @ G @ Xw_1 )
| ( Xm_9 @ G @ Xw_1 ) )
& ! [Xw_1: $i] :
( ( Xm_10 @ G @ Xw_1 )
| ( Xm_9 @ G @ Xw_1 ) )
& ! [Xw_1: $i] :
( ( Xm_10 @ H @ Xw_1 )
| ( Xm_9 @ H @ Xw_1 ) ) )
=> ( ! [Xw_1: $i] :
( ( Xm_10
@ ^ [Xx: $i] : ( G @ ( H @ Xx ) )
@ Xw_1 )
| ( Xm_9
@ ^ [Xx: $i] : ( G @ ( H @ Xx ) )
@ Xw_1 ) )
& ! [Y: $i] :
( ( P @ Y )
=> ( P @ ( G @ Y ) ) ) ) )
& ! [Xw_1: $i] :
( ( Xm_10
@ ^ [Xx: $i] : Xx
@ Xw_1 )
| ( Xm_9
@ ^ [Xx: $i] : Xx
@ Xw_1 ) ) ),
inference('cnf.neg',[status(esa)],[cTHM112D]) ).
thf(zip_derived_cl10,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
( ( sk_ @ ( sk__4 @ X1 @ X0 ) )
| ~ ( X1
@ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
@ ( sk__3 @ X1 @ X0 ) )
| ~ ( X1
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
( ( sk_ @ ( sk__4 @ X1 @ X0 ) )
| ~ ( X0
@ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
@ ( sk__3 @ X1 @ X0 ) )
| ~ ( X1
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7732,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
( ( '#l_lift39620' @ X0 @ X1 @ X2 )
= ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl0,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X2 )
| ( X1 @ ( sk__1 @ X1 @ X0 ) @ X2 )
| ~ ( X1
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7725,plain,
! [X3: $i] :
( ( '#l_lift39619' @ X3 )
= X3 ),
define([status(thm)]) ).
thf(zip_derived_cl7737,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
( ( sk_ @ ( sk__4 @ X1 @ X0 ) )
| ~ ( X1 @ ( '#l_lift39620' @ X0 @ X1 ) @ ( sk__3 @ X1 @ X0 ) )
| ~ ( X1 @ '#l_lift39619' @ ( sk__5 @ X1 @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl10,zip_derived_cl7732,zip_derived_cl7725]) ).
thf(zip_derived_cl4,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X4: $i] :
( ( X0 @ ( sk__2 @ X1 @ X0 ) @ X4 )
| ( X1 @ ( sk__2 @ X1 @ X0 ) @ X4 )
| ~ ( X1
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7725_001,plain,
! [X3: $i] :
( ( '#l_lift39619' @ X3 )
= X3 ),
define([status(thm)]) ).
thf(zip_derived_cl7730,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X4: $i] :
( ( X0 @ ( sk__2 @ X1 @ X0 ) @ X4 )
| ( X1 @ ( sk__2 @ X1 @ X0 ) @ X4 )
| ~ ( X1 @ '#l_lift39619' @ ( sk__5 @ X1 @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl4,zip_derived_cl7725]) ).
thf(zip_derived_cl9,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
( ~ ( sk_ @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) )
| ~ ( X0
@ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
@ ( sk__3 @ X1 @ X0 ) )
| ~ ( X0
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7732_002,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
( ( '#l_lift39620' @ X0 @ X1 @ X2 )
= ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl7725_003,plain,
! [X3: $i] :
( ( '#l_lift39619' @ X3 )
= X3 ),
define([status(thm)]) ).
thf(zip_derived_cl7736,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
( ~ ( sk_ @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) )
| ~ ( X0 @ ( '#l_lift39620' @ X0 @ X1 ) @ ( sk__3 @ X1 @ X0 ) )
| ~ ( X0 @ '#l_lift39619' @ ( sk__5 @ X1 @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl9,zip_derived_cl7732,zip_derived_cl7725]) ).
thf(zip_derived_cl7732_004,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
( ( '#l_lift39620' @ X0 @ X1 @ X2 )
= ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl0_005,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X2 )
| ( X1 @ ( sk__1 @ X1 @ X0 ) @ X2 )
| ~ ( X1
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl39,plain,
! [X0: ( $i > $i ) > $i > $o,X1: $i] :
( ~ ( X0
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X0
@ ^ [Y0: $i > $i,Y1: $i] : $false ) )
| ( X0
@ ( sk__1 @ X0
@ ^ [Y0: $i > $i,Y1: $i] : $false )
@ X1 )
| ( ^ [Y0: $i > $i,Y1: $i] : $false
@ ( sk__1 @ X0
@ ^ [Y0: $i > $i,Y1: $i] : $false )
@ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl56,plain,
! [X0: ( $i > $i ) > $i > $o,X1: $i] :
( ~ ( X0
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X0
@ ^ [Y0: $i > $i,Y1: $i] : $false ) )
| ( X0
@ ( sk__1 @ X0
@ ^ [Y0: $i > $i,Y1: $i] : $false )
@ X1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl7725_006,plain,
! [X3: $i] :
( ( '#l_lift39619' @ X3 )
= X3 ),
define([status(thm)]) ).
thf(zip_derived_cl5,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X4: $i] :
( ( X0 @ ( sk__2 @ X1 @ X0 ) @ X4 )
| ( X1 @ ( sk__2 @ X1 @ X0 ) @ X4 )
| ~ ( X0
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4872,plain,
! [X0: ( $i > $i ) > $i > $o,X1: $i] :
( ( X0
@ ( sk__2
@ ^ [Y0: $i > $i,Y1: $i] : $false
@ X0 )
@ X1 )
| ( ^ [Y0: $i > $i,Y1: $i] : $false
@ ( sk__2
@ ^ [Y0: $i > $i,Y1: $i] : $false
@ X0 )
@ X1 )
| ~ ( X0
@ ^ [Y0: $i] : Y0
@ ( sk__5
@ ^ [Y0: $i > $i,Y1: $i] : $false
@ X0 ) ) ),
inference(false_elim,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl4894,plain,
! [X0: ( $i > $i ) > $i > $o,X1: $i] :
( ( X0
@ ( sk__2
@ ^ [Y0: $i > $i,Y1: $i] : $false
@ X0 )
@ X1 )
| ~ ( X0
@ ^ [Y0: $i] : Y0
@ ( sk__5
@ ^ [Y0: $i > $i,Y1: $i] : $false
@ X0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl4872]) ).
thf(zip_derived_cl7741,plain,
! [X2: $i > $i,X3: $i] :
~ ( '#l_lift39621' @ X2 @ X3 ),
define([status(thm)]) ).
thf(zip_derived_cl7741_007,plain,
! [X2: $i > $i,X3: $i] :
~ ( '#l_lift39621' @ X2 @ X3 ),
define([status(thm)]) ).
thf(zip_derived_cl7751,plain,
! [X0: ( $i > $i ) > $i > $o,X1: $i] :
( ~ ( X0 @ '#l_lift39619' @ ( sk__5 @ X0 @ '#l_lift39621' ) )
| ( X0 @ ( sk__1 @ X0 @ '#l_lift39621' ) @ X1 ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl56,zip_derived_cl7725,zip_derived_cl7741,zip_derived_cl7741]) ).
thf(zip_derived_cl7725_008,plain,
! [X3: $i] :
( ( '#l_lift39619' @ X3 )
= X3 ),
define([status(thm)]) ).
thf(zip_derived_cl13,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
( ~ ( sk_ @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) )
| ~ ( X1
@ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
@ ( sk__3 @ X1 @ X0 ) )
| ~ ( X0
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X2 )
| ( X1 @ ( sk__1 @ X1 @ X0 ) @ X2 )
| ~ ( X0
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6337,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: ( $i > $i ) > $i > $o] :
( ~ ( X0
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X1 @ X0 ) )
| ~ ( X1
@ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
@ ( sk__3 @ X1 @ X0 ) )
| ~ ( X2
@ ^ [Y0: $i] : Y0
@ ( sk__5
@ ^ [Y0: $i > $i,Y1: $i] :
( sk_
@ ( ^ [Y2: $i > $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ X2 ) )
| ( X2
@ ( sk__1
@ ^ [Y0: $i > $i,Y1: $i] :
( sk_
@ ( ^ [Y2: $i > $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ X2 )
@ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).
thf(zip_derived_cl6580,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: ( $i > $i ) > $i > $o] :
( ~ ( X0
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X1 @ X0 ) )
| ~ ( X1
@ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
@ ( sk__3 @ X1 @ X0 ) )
| ~ ( X2
@ ^ [Y0: $i] : Y0
@ ( sk__5
@ ^ [Y0: $i > $i] : sk_
@ X2 ) )
| ( X2
@ ( sk__1
@ ^ [Y0: $i > $i] : sk_
@ X2 )
@ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl6337]) ).
thf(zip_derived_cl7761,plain,
! [X3: $i > $i,X4: $i] :
( ( '#l_lift39622' @ X3 @ X4 )
= ( sk_ @ X4 ) ),
define([status(thm)]) ).
thf(zip_derived_cl2,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X3: $i] :
( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X3 )
| ( X1 @ ( sk__1 @ X1 @ X0 ) @ X3 )
| ~ ( X1
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7725_009,plain,
! [X3: $i] :
( ( '#l_lift39619' @ X3 )
= X3 ),
define([status(thm)]) ).
thf(zip_derived_cl7728,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X3: $i] :
( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X3 )
| ( X1 @ ( sk__1 @ X1 @ X0 ) @ X3 )
| ~ ( X1 @ '#l_lift39619' @ ( sk__5 @ X1 @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl2,zip_derived_cl7725]) ).
thf(zip_derived_cl5_010,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X4: $i] :
( ( X0 @ ( sk__2 @ X1 @ X0 ) @ X4 )
| ( X1 @ ( sk__2 @ X1 @ X0 ) @ X4 )
| ~ ( X0
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_011,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X2 )
| ( X1 @ ( sk__1 @ X1 @ X0 ) @ X2 )
| ~ ( X1
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1592,plain,
! [X0: $o,X1: ( $i > $i ) > $i > $o,X2: $i,X3: ( $i > $i ) > $i > $o,X4: $i] :
( ~ ( X3
@ ^ [Y0: $i] : Y0
@ ( sk__5
@ ^ [Y0: $i > $i,Y1: $i] : X0
@ X3 ) )
| ( X3
@ ( sk__2
@ ^ [Y0: $i > $i,Y1: $i] : X0
@ X3 )
@ X2 )
| ( ^ [Y0: $i > $i,Y1: $i] : X0
@ ( sk__1
@ ^ [Y0: $i > $i,Y1: $i] : X0
@ X1 )
@ X4 )
| ( X1
@ ( sk__1
@ ^ [Y0: $i > $i,Y1: $i] : X0
@ X1 )
@ X4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).
thf(zip_derived_cl1836,plain,
! [X0: $o,X1: ( $i > $i ) > $i > $o,X2: $i,X3: ( $i > $i ) > $i > $o,X4: $i] :
( ~ ( X3
@ ^ [Y0: $i] : Y0
@ ( sk__5
@ ^ [Y0: $i > $i,Y1: $i] : X0
@ X3 ) )
| ( X3
@ ( sk__2
@ ^ [Y0: $i > $i,Y1: $i] : X0
@ X3 )
@ X2 )
| X0
| ( X1
@ ( sk__1
@ ^ [Y0: $i > $i,Y1: $i] : X0
@ X1 )
@ X4 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1592]) ).
thf(zip_derived_cl7741_012,plain,
! [X2: $i > $i,X3: $i] :
~ ( '#l_lift39621' @ X2 @ X3 ),
define([status(thm)]) ).
thf(zip_derived_cl7779,plain,
( ( '#l_lift39623' @ $false )
= '#l_lift39621' ),
define([status(thm)]) ).
thf(zip_derived_cl12,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
( ~ ( sk_ @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) )
| ~ ( X1
@ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
@ ( sk__3 @ X1 @ X0 ) )
| ~ ( X1
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7732_013,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
( ( '#l_lift39620' @ X0 @ X1 @ X2 )
= ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ X2 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl7725_014,plain,
! [X3: $i] :
( ( '#l_lift39619' @ X3 )
= X3 ),
define([status(thm)]) ).
thf(zip_derived_cl7739,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
( ~ ( sk_ @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) )
| ~ ( X1 @ ( '#l_lift39620' @ X0 @ X1 ) @ ( sk__3 @ X1 @ X0 ) )
| ~ ( X1 @ '#l_lift39619' @ ( sk__5 @ X1 @ X0 ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl12,zip_derived_cl7732,zip_derived_cl7725]) ).
thf(zip_derived_cl1_015,plain,
! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X2 )
| ( X1 @ ( sk__1 @ X1 @ X0 ) @ X2 )
| ~ ( X0
@ ^ [Y0: $i] : Y0
@ ( sk__5 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl344,plain,
! [X0: $i,X1: ( $i > $i ) > $i > $o] :
( ~ ( X1
@ ^ [Y0: $i] : Y0
@ ( sk__5
@ ^ [Y0: $i > $i,Y1: $i] : $false
@ X1 ) )
| ( ^ [Y0: $i > $i,Y1: $i] : $false
@ ( sk__1
@ ^ [Y0: $i > $i,Y1: $i] : $false
@ X1 )
@ X0 )
| ( X1
@ ( sk__1
@ ^ [Y0: $i > $i,Y1: $i] : $false
@ X1 )
@ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl361,plain,
! [X0: $i,X1: ( $i > $i ) > $i > $o] :
( ~ ( X1
@ ^ [Y0: $i] : Y0
@ ( sk__5
@ ^ [Y0: $i > $i,Y1: $i] : $false
@ X1 ) )
| ( X1
@ ( sk__1
@ ^ [Y0: $i > $i,Y1: $i] : $false
@ X1 )
@ X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl344]) ).
thf(zip_derived_cl7725_016,plain,
! [X3: $i] :
( ( '#l_lift39619' @ X3 )
= X3 ),
define([status(thm)]) ).
thf(zip_derived_cl7741_017,plain,
! [X2: $i > $i,X3: $i] :
~ ( '#l_lift39621' @ X2 @ X3 ),
define([status(thm)]) ).
thf(zip_derived_cl7741_018,plain,
! [X2: $i > $i,X3: $i] :
~ ( '#l_lift39621' @ X2 @ X3 ),
define([status(thm)]) ).
thf(zip_derived_cl7750,plain,
! [X0: $i,X1: ( $i > $i ) > $i > $o] :
( ~ ( X1 @ '#l_lift39619' @ ( sk__5 @ '#l_lift39621' @ X1 ) )
| ( X1 @ ( sk__1 @ '#l_lift39621' @ X1 ) @ X0 ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl361,zip_derived_cl7725,zip_derived_cl7741,zip_derived_cl7741]) ).
thf(zip_derived_cl7809,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl7737,zip_derived_cl7730,zip_derived_cl7736,zip_derived_cl7732,zip_derived_cl7751,zip_derived_cl7725,zip_derived_cl7761,zip_derived_cl7728,zip_derived_cl7779,zip_derived_cl7739,zip_derived_cl7750]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO269^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3Dw87NYsGc true
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 17:55:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 1.18/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.18/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.18/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.18/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.18/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.18/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.18/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.18/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 65.65/8.90 % Solved by lams/40_c_ic.sh.
% 65.65/8.90 % done 387 iterations in 8.112s
% 65.65/8.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 65.65/8.90 % SZS output start Refutation
% See solution above
% 65.65/8.91
% 65.65/8.91
% 65.65/8.91 % Terminating...
% 65.69/9.00 % Runner terminated.
% 65.69/9.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------