%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV074^5 : 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.kHLHf31duy true
% Computer : n010.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 04:57:07 PM UTC 2025
% Result : Theorem 122.99s 16.80s
% Output : Refutation 122.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 58 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 200 ( 114 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 1081 ( 73 ~; 124 |; 2 &; 876 @)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 122 ( 122 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 3 con; 0-5 aty)
% Number of variables : 363 ( 262 ^; 101 !; 0 ?; 363 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk__3_type,type,
sk__3: a > a > $o ).
thf(sk__type,type,
sk_: a > a > $o ).
thf(sk__4_type,type,
sk__4: ( a > a > $o ) > a ).
thf(sk__6_type,type,
sk__6: ( a > a > $o ) > a ).
thf(sk__1_type,type,
sk__1: a ).
thf('#ty_enc41327_type',type,
'#ty_enc41327': ( a > a > a ) > ( a > a > a ) > a > a > $o ).
thf('#l_lift41325_type',type,
'#l_lift41325': ( a > a > $o ) > ( a > a > $o ) > a > a > $o ).
thf('#l_lift41329_type',type,
'#l_lift41329': a > a > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: ( a > a > $o ) > ( a > a > $o ) > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: ( a > a > $o ) > ( a > a > $o ) > $o ).
thf('#l_lift41322_type',type,
'#l_lift41322':
!>[Tb0: $tType] : ( ( a > a > Tb0 ) > ( a > a > Tb0 ) > a > a > $o ) ).
thf(sk__2_type,type,
sk__2: a ).
thf(sk__5_type,type,
sk__5: ( a > a > $o ) > a ).
thf(cTHM523_pme,conjecture,
! [Xr: a > a > $o,Xx: a,Xy: a] :
( ( ( Xr @ Xx @ Xy )
| ( Xx = Xy ) )
<=> ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xx0: a] : ( Xp @ Xx0 @ Xx0 ) )
=> ( Xp @ Xx @ Xy ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xr: a > a > $o,Xx: a,Xy: a] :
( ( ( Xr @ Xx @ Xy )
| ( Xx = Xy ) )
<=> ! [Xp: a > a > $o] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xr @ Xx0 @ Xy0 )
=> ( Xp @ Xx0 @ Xy0 ) )
& ! [Xx0: a] : ( Xp @ Xx0 @ Xx0 ) )
=> ( Xp @ Xx @ Xy ) ) ),
inference('cnf.neg',[status(esa)],[cTHM523_pme]) ).
thf(zip_derived_cl0,plain,
! [X0: a > a > $o] :
( ~ ( X0 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ~ ( X0 @ ( sk__4 @ X0 ) @ ( sk__4 @ X0 ) )
| ( X0 @ sk__1 @ sk__2 )
| ( sk__1 = sk__2 )
| ( sk_ @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
( ~ ( sk__3 @ sk__1 @ sk__2 )
| ( sk__1 != sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8,plain,
( ~ ( sk__3 @ sk__1 @ sk__1 )
| ( sk__1 != sk__2 ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
! [X1: a] :
( ( sk__3 @ X1 @ X1 )
| ( sk__1 != sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
sk__1 != sk__2,
inference(clc,[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(zip_derived_cl16,plain,
! [X0: a > a > $o] :
( ~ ( X0 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ~ ( X0 @ ( sk__4 @ X0 ) @ ( sk__4 @ X0 ) )
| ( X0 @ sk__1 @ sk__2 )
| ( sk_ @ sk__1 @ sk__2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl0,zip_derived_cl9]) ).
thf(zip_derived_cl6,plain,
! [X2: a,X3: a] :
( ~ ( sk_ @ X2 @ X3 )
| ( sk__3 @ X2 @ X3 )
| ~ ( sk_ @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
( ~ ( sk__3 @ sk__1 @ sk__2 )
| ~ ( sk_ @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
( ~ ( sk_ @ sk__1 @ sk__2 )
| ~ ( sk_ @ sk__1 @ sk__2 )
| ~ ( sk_ @ sk__1 @ sk__2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl2]) ).
thf(zip_derived_cl14,plain,
~ ( sk_ @ sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl17,plain,
! [X0: a > a > $o] :
( ( X0 @ sk__1 @ sk__2 )
| ~ ( X0 @ ( sk__4 @ X0 ) @ ( sk__4 @ X0 ) )
| ~ ( X0 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl16,zip_derived_cl14]) ).
thf(zip_derived_cl28,plain,
! [X0: $tType,X1: a > a > X0,X2: a > a > X0] :
( ( ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) )
@ sk__1
@ sk__2 )
| ~ ( ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) )
| ~ ( ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) )
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) ),
inference('ho.refine',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl79,plain,
! [X0: $tType,X1: a > a > X0,X2: a > a > X0] :
( ( ( X2 @ sk__1 @ sk__2 )
= ( X1 @ sk__1 @ sk__2 ) )
| ( ( X2
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) )
!= ( X1
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) )
| ( ( X2
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) )
!= ( X1
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl80,plain,
! [X0: $tType,X1: a > a > X0,X2: a > a > X0] :
( ( ( X2 @ sk__1 @ sk__2 )
= ( X1 @ sk__1 @ sk__2 ) )
| ( ( X2
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) )
!= ( X1
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) )
| ( ( X2
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) )
!= ( X1
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl9_001,plain,
sk__1 != sk__2,
inference(clc,[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(zip_derived_cl299,plain,
! [X0: a > a > a] :
( ( sk__1
!= ( X0 @ sk__1 @ sk__2 ) )
| ( ( ^ [Y0: a,Y1: a] : sk__2
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( ( ^ [Y2: a,Y3: a] : sk__2
@ Y0
@ Y1 )
= ( X0 @ Y0 @ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( ( ^ [Y2: a,Y3: a] : sk__2
@ Y0
@ Y1 )
= ( X0 @ Y0 @ Y1 ) ) ) )
!= ( X0
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( ( ^ [Y2: a,Y3: a] : sk__2
@ Y0
@ Y1 )
= ( X0 @ Y0 @ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( ( ^ [Y2: a,Y3: a] : sk__2
@ Y0
@ Y1 )
= ( X0 @ Y0 @ Y1 ) ) ) ) )
| ( ( ^ [Y0: a,Y1: a] : sk__2
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( ^ [Y2: a,Y3: a] : sk__2
@ Y0
@ Y1 )
= ( X0 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( ^ [Y2: a,Y3: a] : sk__2
@ Y0
@ Y1 )
= ( X0 @ Y0 @ Y1 ) ) ) )
!= ( X0
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( ^ [Y2: a,Y3: a] : sk__2
@ Y0
@ Y1 )
= ( X0 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( ^ [Y2: a,Y3: a] : sk__2
@ Y0
@ Y1 )
= ( X0 @ Y0 @ Y1 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl9]) ).
thf(zip_derived_cl404,plain,
! [X0: a > a > a] :
( ( sk__1
!= ( X0 @ sk__1 @ sk__2 ) )
| ( sk__2
!= ( X0
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( sk__2
= ( X0 @ Y0 @ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( sk__2
= ( X0 @ Y0 @ Y1 ) ) ) ) )
| ( sk__2
!= ( X0
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( sk__2
= ( X0 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( sk__2
= ( X0 @ Y0 @ Y1 ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl299]) ).
thf(zip_derived_cl80_002,plain,
! [X0: $tType,X1: a > a > X0,X2: a > a > X0] :
( ( ( X2 @ sk__1 @ sk__2 )
= ( X1 @ sk__1 @ sk__2 ) )
| ( ( X2
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) )
!= ( X1
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) )
| ( ( X2
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) )
!= ( X1
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl2984,plain,
! [X0: $tType,X1: a > a > X0,X2: a > a > X0,X3: a,X4: a] :
( ( '#l_lift41322' @ X0 @ X1 @ X2 @ X3 @ X4 )
= ( ( X2 @ X3 @ X4 )
= ( X1 @ X3 @ X4 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl2984_003,plain,
! [X0: $tType,X1: a > a > X0,X2: a > a > X0,X3: a,X4: a] :
( ( '#l_lift41322' @ X0 @ X1 @ X2 @ X3 @ X4 )
= ( ( X2 @ X3 @ X4 )
= ( X1 @ X3 @ X4 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl2984_004,plain,
! [X0: $tType,X1: a > a > X0,X2: a > a > X0,X3: a,X4: a] :
( ( '#l_lift41322' @ X0 @ X1 @ X2 @ X3 @ X4 )
= ( ( X2 @ X3 @ X4 )
= ( X1 @ X3 @ X4 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl2984_005,plain,
! [X0: $tType,X1: a > a > X0,X2: a > a > X0,X3: a,X4: a] :
( ( '#l_lift41322' @ X0 @ X1 @ X2 @ X3 @ X4 )
= ( ( X2 @ X3 @ X4 )
= ( X1 @ X3 @ X4 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl3008,plain,
! [X0: a > a > a] :
( ( sk__1
!= ( X0 @ sk__1 @ sk__2 ) )
| ( sk__2
!= ( X0
@ ( sk__5
@ ( '#l_lift41322' @ a @ X0
@ ^ [Y0: a,Y1: a] : sk__2 ) )
@ ( sk__6
@ ( '#l_lift41322' @ a @ X0
@ ^ [Y0: a,Y1: a] : sk__2 ) ) ) )
| ( sk__2
!= ( X0
@ ( sk__4
@ ( '#l_lift41322' @ a @ X0
@ ^ [Y0: a,Y1: a] : sk__2 ) )
@ ( sk__4
@ ( '#l_lift41322' @ a @ X0
@ ^ [Y0: a,Y1: a] : sk__2 ) ) ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl404,zip_derived_cl2984,zip_derived_cl2984,zip_derived_cl2984,zip_derived_cl2984]) ).
thf(zip_derived_cl3009,plain,
! [X0: a > a > a] :
( ( sk__1
!= ( X0 @ sk__1 @ sk__2 ) )
| ( sk__2
!= ( X0
@ ( sk__5
@ ( '#ty_enc41327' @ X0
@ ^ [Y0: a,Y1: a] : sk__2 ) )
@ ( sk__6
@ ( '#ty_enc41327' @ X0
@ ^ [Y0: a,Y1: a] : sk__2 ) ) ) )
| ( sk__2
!= ( X0
@ ( sk__4
@ ( '#ty_enc41327' @ X0
@ ^ [Y0: a,Y1: a] : sk__2 ) )
@ ( sk__4
@ ( '#ty_enc41327' @ X0
@ ^ [Y0: a,Y1: a] : sk__2 ) ) ) ) ),
inference(remove_ty_args,[status(thm)],[zip_derived_cl3008]) ).
thf(zip_derived_cl14_006,plain,
~ ( sk_ @ sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl17_007,plain,
! [X0: a > a > $o] :
( ( X0 @ sk__1 @ sk__2 )
| ~ ( X0 @ ( sk__4 @ X0 ) @ ( sk__4 @ X0 ) )
| ~ ( X0 @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl16,zip_derived_cl14]) ).
thf(zip_derived_cl27,plain,
! [X0: a > a > $o,X1: a > a > $o] :
( ( ^ [Y0: a,Y1: a] :
( ( X1 @ Y0 @ Y1 )
| ( X0 @ Y0 @ Y1 ) )
@ sk__1
@ sk__2 )
| ~ ( ^ [Y0: a,Y1: a] :
( ( X1 @ Y0 @ Y1 )
| ( X0 @ Y0 @ Y1 ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X1 @ Y0 @ Y1 )
| ( X0 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X1 @ Y0 @ Y1 )
| ( X0 @ Y0 @ Y1 ) ) ) )
| ~ ( ^ [Y0: a,Y1: a] :
( ( X1 @ Y0 @ Y1 )
| ( X0 @ Y0 @ Y1 ) )
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( ( X1 @ Y0 @ Y1 )
| ( X0 @ Y0 @ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( ( X1 @ Y0 @ Y1 )
| ( X0 @ Y0 @ Y1 ) ) ) ) ),
inference('ho.refine',[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl78,plain,
! [X0: a > a > $o,X1: a > a > $o] :
( ( X1 @ sk__1 @ sk__2 )
| ( X0 @ sk__1 @ sk__2 )
| ~ ( ( X1
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X1 @ Y0 @ Y1 )
| ( X0 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X1 @ Y0 @ Y1 )
| ( X0 @ Y0 @ Y1 ) ) ) )
| ( X0
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X1 @ Y0 @ Y1 )
| ( X0 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X1 @ Y0 @ Y1 )
| ( X0 @ Y0 @ Y1 ) ) ) ) )
| ~ ( ( X1
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( ( X1 @ Y0 @ Y1 )
| ( X0 @ Y0 @ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( ( X1 @ Y0 @ Y1 )
| ( X0 @ Y0 @ Y1 ) ) ) )
| ( X0
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( ( X1 @ Y0 @ Y1 )
| ( X0 @ Y0 @ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( ( X1 @ Y0 @ Y1 )
| ( X0 @ Y0 @ Y1 ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl1176,plain,
! [X0: a > a > $o,X1: a > a > $o] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ~ ( X0
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( X1 @ Y0 @ Y1 ) ) ) ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl1176_008,plain,
! [X0: a > a > $o,X1: a > a > $o] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ~ ( X0
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( X1 @ Y0 @ Y1 ) ) ) ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl2991,plain,
! [X0: a > a > $o,X1: a > a > $o,X2: a,X3: a] :
( ( '#l_lift41325' @ X0 @ X1 @ X2 @ X3 )
= ( ( X0 @ X2 @ X3 )
| ( X1 @ X2 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl2991_009,plain,
! [X0: a > a > $o,X1: a > a > $o,X2: a,X3: a] :
( ( '#l_lift41325' @ X0 @ X1 @ X2 @ X3 )
= ( ( X0 @ X2 @ X3 )
| ( X1 @ X2 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl2992,plain,
! [X0: a > a > $o,X1: a > a > $o] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ~ ( X0 @ ( sk__4 @ ( '#l_lift41325' @ X0 @ X1 ) ) @ ( sk__4 @ ( '#l_lift41325' @ X0 @ X1 ) ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl1176,zip_derived_cl2991,zip_derived_cl2991]) ).
thf(zip_derived_cl1177,plain,
! [X0: a > a > $o,X1: a > a > $o] :
( ( X0 @ sk__1 @ sk__2 )
| ~ ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X0 @ X1 )
| ( X1 @ sk__1 @ sk__2 ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl80_010,plain,
! [X0: $tType,X1: a > a > X0,X2: a > a > X0] :
( ( ( X2 @ sk__1 @ sk__2 )
= ( X1 @ sk__1 @ sk__2 ) )
| ( ( X2
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) )
!= ( X1
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) )
| ( ( X2
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) )
!= ( X1
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( ( X2 @ Y0 @ Y1 )
= ( X1 @ Y0 @ Y1 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl917,plain,
( ( ( ^ [Y0: a,Y1: a] : Y1
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( ( ^ [Y2: a,Y3: a] : Y3
@ Y0
@ Y1 )
= ( ^ [Y2: a,Y3: a] : Y2
@ Y0
@ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( ( ^ [Y2: a,Y3: a] : Y3
@ Y0
@ Y1 )
= ( ^ [Y2: a,Y3: a] : Y2
@ Y0
@ Y1 ) ) ) )
!= ( ^ [Y0: a,Y1: a] : Y0
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( ( ^ [Y2: a,Y3: a] : Y3
@ Y0
@ Y1 )
= ( ^ [Y2: a,Y3: a] : Y2
@ Y0
@ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( ( ^ [Y2: a,Y3: a] : Y3
@ Y0
@ Y1 )
= ( ^ [Y2: a,Y3: a] : Y2
@ Y0
@ Y1 ) ) ) ) )
| ( ( ^ [Y0: a,Y1: a] : Y1
@ sk__1
@ sk__2 )
= ( ^ [Y0: a,Y1: a] : Y0
@ sk__1
@ sk__2 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl930,plain,
( ( ( sk__6
@ ^ [Y0: a,Y1: a] : ( Y1 = Y0 ) )
!= ( sk__5
@ ^ [Y0: a,Y1: a] : ( Y1 = Y0 ) ) )
| ( sk__2 = sk__1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl917]) ).
thf(zip_derived_cl9_011,plain,
sk__1 != sk__2,
inference(clc,[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(zip_derived_cl931,plain,
( ( sk__6
@ ^ [Y0: a,Y1: a] : ( Y1 = Y0 ) )
!= ( sk__5
@ ^ [Y0: a,Y1: a] : ( Y1 = Y0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl930,zip_derived_cl9]) ).
thf(zip_derived_cl3025,plain,
! [X1: a,X2: a] :
( ( '#l_lift41329' @ X1 @ X2 )
= ( X2 = X1 ) ),
define([status(thm)]) ).
thf(zip_derived_cl1173,plain,
! [X0: a > a > $o,X1: a > a > $o] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( X1
@ ( sk__5
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( X1 @ Y0 @ Y1 ) ) )
@ ( sk__6
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( X1 @ Y0 @ Y1 ) ) ) ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl1,plain,
! [X0: a > a > $o] :
( ( sk_ @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ~ ( X0 @ ( sk__4 @ X0 ) @ ( sk__4 @ X0 ) )
| ( X0 @ sk__1 @ sk__2 )
| ( sk__1 = sk__2 )
| ( sk_ @ sk__1 @ sk__2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14_012,plain,
~ ( sk_ @ sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl108,plain,
! [X0: a > a > $o] :
( ( sk_ @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ~ ( X0 @ ( sk__4 @ X0 ) @ ( sk__4 @ X0 ) )
| ( X0 @ sk__1 @ sk__2 )
| ( sk__1 = sk__2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl14]) ).
thf(zip_derived_cl9_013,plain,
sk__1 != sk__2,
inference(clc,[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).
thf(zip_derived_cl109,plain,
! [X0: a > a > $o] :
( ( sk_ @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) )
| ~ ( X0 @ ( sk__4 @ X0 ) @ ( sk__4 @ X0 ) )
| ( X0 @ sk__1 @ sk__2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl108,zip_derived_cl9]) ).
thf(zip_derived_cl2232,plain,
! [X0: a > a > $o] :
( ( zip_tseitin_0 @ X0
@ ^ [Y0: a,Y1: a] :
( sk_
@ ( ^ [Y2: a,Y3: a] : Y2
@ Y0
@ Y1 )
@ ( ^ [Y2: a,Y3: a] : Y3
@ Y0
@ Y1 ) ) )
| ( ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( sk_ @ Y0 @ Y1 ) )
@ sk__1
@ sk__2 )
| ~ ( ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( sk_ @ Y0 @ Y1 ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( sk_ @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( sk_ @ Y0 @ Y1 ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1173,zip_derived_cl109]) ).
thf(zip_derived_cl2241,plain,
! [X0: a > a > $o] :
( ( zip_tseitin_0 @ X0 @ sk_ )
| ( X0 @ sk__1 @ sk__2 )
| ( sk_ @ sk__1 @ sk__2 )
| ~ ( ( X0
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( sk_ @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( sk_ @ Y0 @ Y1 ) ) ) )
| ( sk_
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( sk_ @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( sk_ @ Y0 @ Y1 ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl2232]) ).
thf(zip_derived_cl14_014,plain,
~ ( sk_ @ sk__1 @ sk__2 ),
inference(simplify,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl2242,plain,
! [X0: a > a > $o] :
( ( zip_tseitin_0 @ X0 @ sk_ )
| ( X0 @ sk__1 @ sk__2 )
| $false
| ~ ( ( X0
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( sk_ @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( sk_ @ Y0 @ Y1 ) ) ) )
| ( sk_
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( sk_ @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( sk_ @ Y0 @ Y1 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2241,zip_derived_cl14]) ).
thf(zip_derived_cl2243,plain,
! [X0: a > a > $o] :
( ( zip_tseitin_0 @ X0 @ sk_ )
| ( X0 @ sk__1 @ sk__2 )
| ~ ( ( X0
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( sk_ @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( sk_ @ Y0 @ Y1 ) ) ) )
| ( sk_
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( sk_ @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( X0 @ Y0 @ Y1 )
| ( sk_ @ Y0 @ Y1 ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl2242]) ).
thf(zip_derived_cl2967,plain,
! [X0: a > a > $o] :
( ( zip_tseitin_0 @ X0 @ sk_ )
| ( X0 @ sk__1 @ sk__2 )
| ~ ( X0
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( sk_ @ Y0 @ Y1 )
| ( X0 @ Y0 @ Y1 ) ) )
@ ( sk__4
@ ^ [Y0: a,Y1: a] :
( ( sk_ @ Y0 @ Y1 )
| ( X0 @ Y0 @ Y1 ) ) ) ) ),
inference(cnf_otf,[status(thm)],[zip_derived_cl2243]) ).
thf(zip_derived_cl2991_015,plain,
! [X0: a > a > $o,X1: a > a > $o,X2: a,X3: a] :
( ( '#l_lift41325' @ X0 @ X1 @ X2 @ X3 )
= ( ( X0 @ X2 @ X3 )
| ( X1 @ X2 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl2991_016,plain,
! [X0: a > a > $o,X1: a > a > $o,X2: a,X3: a] :
( ( '#l_lift41325' @ X0 @ X1 @ X2 @ X3 )
= ( ( X0 @ X2 @ X3 )
| ( X1 @ X2 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl3031,plain,
! [X0: a > a > $o] :
( ( zip_tseitin_0 @ X0 @ sk_ )
| ( X0 @ sk__1 @ sk__2 )
| ~ ( X0 @ ( sk__4 @ ( '#l_lift41325' @ sk_ @ X0 ) ) @ ( sk__4 @ ( '#l_lift41325' @ sk_ @ X0 ) ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl2967,zip_derived_cl2991,zip_derived_cl2991]) ).
thf(zip_derived_cl3038,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl3009,zip_derived_cl14,zip_derived_cl2992,zip_derived_cl1177,zip_derived_cl3025,zip_derived_cl3031]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SEV074^5 : TPTP v9.2.0. Released v4.0.0.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kHLHf31duy true
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 15:36:53 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.32 % Running in HO mode
% 0.44/0.63 % Total configuration time : 828
% 0.44/0.63 % Estimated wc time : 1656
% 0.44/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 4.22/1.13 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 8.84/1.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 122.99/16.80 % Solved by lams/40_c.s.sh.
% 122.99/16.80 % done 208 iterations in 16.047s
% 122.99/16.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 122.99/16.80 % SZS output start Refutation
% See solution above
% 122.99/16.80
% 122.99/16.80
% 122.99/16.80 % Terminating...
% 123.50/16.89 % Runner terminated.
% 123.50/16.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------