%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM643^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3yFXg12igc true
% Computer : n016.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 04:47:46 PM UTC 2025
% Result : Theorem 7.88s 2.17s
% Output : Refutation 7.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 64 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 170 ( 77 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 934 ( 33 ~; 32 |; 0 &; 819 @)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-2 aty)
% ( 25 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 122 ( 60 ^; 62 !; 0 ?; 122 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(set_type,type,
set: $tType ).
thf(pl_type,type,
pl: nat > nat > nat ).
thf(suc_type,type,
suc: nat > nat ).
thf(y_type,type,
y: nat ).
thf(esti_type,type,
esti: nat > set > $o ).
thf(setof_type,type,
setof: ( nat > $o ) > set ).
thf(z_type,type,
z: nat ).
thf(n_1_type,type,
n_1: nat ).
thf(x_type,type,
x: nat ).
thf('#sk29_type',type,
'#sk29': set > nat ).
thf(satz5,conjecture,
( ( pl @ ( pl @ x @ y ) @ z )
= ( pl @ x @ ( pl @ y @ z ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ( pl @ ( pl @ x @ y ) @ z )
!= ( pl @ x @ ( pl @ y @ z ) ) ),
inference('cnf.neg',[status(esa)],[satz5]) ).
thf(zip_derived_cl7,plain,
( ( pl @ ( pl @ x @ y ) @ z )
!= ( pl @ x @ ( pl @ y @ z ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(estie,axiom,
! [Xp: nat > $o,Xs: nat] :
( ( esti @ Xs @ ( setof @ Xp ) )
=> ( Xp @ Xs ) ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: nat > $o] :
( !!
@ ^ [Y1: nat] :
( ( esti @ Y1 @ ( setof @ Y0 ) )
=> ( Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[estie]) ).
thf(zip_derived_cl12,plain,
! [X2: nat > $o] :
( !!
@ ^ [Y0: nat] :
( ( esti @ Y0 @ ( setof @ X2 ) )
=> ( X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: nat] :
( ( esti @ Y0
@ ( setof
@ ^ [Y1: nat] :
( ( pl @ ( pl @ x @ y ) @ Y1 )
= ( pl @ x @ ( pl @ y @ Y1 ) ) ) ) )
=> ( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl72,plain,
! [X2: nat] :
( ( esti @ X2
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) )
=> ( ( pl @ ( pl @ x @ y ) @ X2 )
= ( pl @ x @ ( pl @ y @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl73,plain,
! [X2: nat] :
( ~ ( esti @ X2
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) )
| ( ( pl @ ( pl @ x @ y ) @ X2 )
= ( pl @ x @ ( pl @ y @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl74,plain,
! [X2: nat] :
( ~ ( esti @ X2
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) )
| ( ( pl @ ( pl @ x @ y ) @ X2 )
= ( pl @ x @ ( pl @ y @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl73]) ).
thf(estii,axiom,
! [Xp: nat > $o,Xs: nat] :
( ( Xp @ Xs )
=> ( esti @ Xs @ ( setof @ Xp ) ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: nat > $o] :
( !!
@ ^ [Y1: nat] :
( ( Y0 @ Y1 )
=> ( esti @ Y1 @ ( setof @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[estii]) ).
thf(zip_derived_cl24,plain,
! [X2: nat > $o] :
( !!
@ ^ [Y0: nat] :
( ( X2 @ Y0 )
=> ( esti @ Y0 @ ( setof @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl25,plain,
( !!
@ ^ [Y0: nat] :
( ( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) )
=> ( esti @ Y0
@ ( setof
@ ^ [Y1: nat] :
( ( pl @ ( pl @ x @ y ) @ Y1 )
= ( pl @ x @ ( pl @ y @ Y1 ) ) ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl100,plain,
! [X2: nat] :
( ( ( pl @ ( pl @ x @ y ) @ X2 )
= ( pl @ x @ ( pl @ y @ X2 ) ) )
=> ( esti @ X2
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl101,plain,
! [X2: nat] :
( ( ( pl @ ( pl @ x @ y ) @ X2 )
!= ( pl @ x @ ( pl @ y @ X2 ) ) )
| ( esti @ X2
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl100]) ).
thf(zip_derived_cl102,plain,
! [X2: nat] :
( ( ( pl @ ( pl @ x @ y ) @ X2 )
!= ( pl @ x @ ( pl @ y @ X2 ) ) )
| ( esti @ X2
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl24_001,plain,
! [X2: nat > $o] :
( !!
@ ^ [Y0: nat] :
( ( X2 @ Y0 )
=> ( esti @ Y0 @ ( setof @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl27,plain,
! [X2: nat > $o,X4: nat] :
( ( X2 @ X4 )
=> ( esti @ X4 @ ( setof @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl28,plain,
! [X2: nat > $o,X4: nat] :
( ~ ( X2 @ X4 )
| ( esti @ X4 @ ( setof @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(ax5,axiom,
! [Xs: set] :
( ( esti @ n_1 @ Xs )
=> ( ! [Xx: nat] :
( ( esti @ Xx @ Xs )
=> ( esti @ ( suc @ Xx ) @ Xs ) )
=> ! [Xx: nat] : ( esti @ Xx @ Xs ) ) ) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: set] :
( ( esti @ n_1 @ Y0 )
=> ( ( !!
@ ^ [Y1: nat] :
( ( esti @ Y1 @ Y0 )
=> ( esti @ ( suc @ Y1 ) @ Y0 ) ) )
=> ( !!
@ ^ [Y1: nat] : ( esti @ Y1 @ Y0 ) ) ) ) ),
inference(cnf,[status(esa)],[ax5]) ).
thf(zip_derived_cl59,plain,
! [X2: set] :
( ( esti @ n_1 @ X2 )
=> ( ( !!
@ ^ [Y0: nat] :
( ( esti @ Y0 @ X2 )
=> ( esti @ ( suc @ Y0 ) @ X2 ) ) )
=> ( !!
@ ^ [Y0: nat] : ( esti @ Y0 @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl60,plain,
! [X2: set] :
( ~ ( esti @ n_1 @ X2 )
| ( ( !!
@ ^ [Y0: nat] :
( ( esti @ Y0 @ X2 )
=> ( esti @ ( suc @ Y0 ) @ X2 ) ) )
=> ( !!
@ ^ [Y0: nat] : ( esti @ Y0 @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl61,plain,
! [X2: set] :
( ~ ( !!
@ ^ [Y0: nat] :
( ( esti @ Y0 @ X2 )
=> ( esti @ ( suc @ Y0 ) @ X2 ) ) )
| ( !!
@ ^ [Y0: nat] : ( esti @ Y0 @ X2 ) )
| ~ ( esti @ n_1 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl62,plain,
! [X2: set] :
( ~ ( ( esti @ ( '#sk29' @ X2 ) @ X2 )
=> ( esti @ ( suc @ ( '#sk29' @ X2 ) ) @ X2 ) )
| ~ ( esti @ n_1 @ X2 )
| ( !!
@ ^ [Y0: nat] : ( esti @ Y0 @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl64,plain,
! [X2: set] :
( ~ ( esti @ ( suc @ ( '#sk29' @ X2 ) ) @ X2 )
| ( !!
@ ^ [Y0: nat] : ( esti @ Y0 @ X2 ) )
| ~ ( esti @ n_1 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl66,plain,
! [X2: set,X4: nat] :
( ( esti @ X4 @ X2 )
| ~ ( esti @ n_1 @ X2 )
| ~ ( esti @ ( suc @ ( '#sk29' @ X2 ) ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl68,plain,
! [X0: nat > $o,X1: nat] :
( ~ ( X0 @ ( suc @ ( '#sk29' @ ( setof @ X0 ) ) ) )
| ~ ( esti @ n_1 @ ( setof @ X0 ) )
| ( esti @ X1 @ ( setof @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl66]) ).
thf(zip_derived_cl643,plain,
! [X0: nat] :
( ( ( pl @ ( pl @ x @ y ) @ n_1 )
!= ( pl @ x @ ( pl @ y @ n_1 ) ) )
| ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) )
| ~ ( ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) )
@ ( suc
@ ( '#sk29'
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl68]) ).
thf(zip_derived_cl667,plain,
! [X0: nat] :
( ( ( pl @ ( pl @ x @ y ) @ n_1 )
!= ( pl @ x @ ( pl @ y @ n_1 ) ) )
| ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) )
| ( ( pl @ ( pl @ x @ y )
@ ( suc
@ ( '#sk29'
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ) )
!= ( pl @ x
@ ( pl @ y
@ ( suc
@ ( '#sk29'
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl643]) ).
thf(satz4e,axiom,
! [Xx: nat] :
( ( suc @ Xx )
= ( pl @ Xx @ n_1 ) ) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: nat] :
( ( suc @ Y0 )
= ( pl @ Y0 @ n_1 ) ) ),
inference(cnf,[status(esa)],[satz4e]) ).
thf(zip_derived_cl8,plain,
! [X2: nat] :
( ( suc @ X2 )
= ( pl @ X2 @ n_1 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
! [X2: nat] :
( ( suc @ X2 )
= ( pl @ X2 @ n_1 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(satz4f,axiom,
! [Xx: nat,Xy: nat] :
( ( suc @ ( pl @ Xx @ Xy ) )
= ( pl @ Xx @ ( suc @ Xy ) ) ) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( suc @ ( pl @ Y0 @ Y1 ) )
= ( pl @ Y0 @ ( suc @ Y1 ) ) ) ) ),
inference(cnf,[status(esa)],[satz4f]) ).
thf(zip_derived_cl51,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( ( suc @ ( pl @ X2 @ Y0 ) )
= ( pl @ X2 @ ( suc @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl52,plain,
! [X2: nat,X4: nat] :
( ( suc @ ( pl @ X2 @ X4 ) )
= ( pl @ X2 @ ( suc @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl53,plain,
! [X2: nat,X4: nat] :
( ( suc @ ( pl @ X2 @ X4 ) )
= ( pl @ X2 @ ( suc @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl9_002,plain,
! [X2: nat] :
( ( suc @ X2 )
= ( pl @ X2 @ n_1 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl102_003,plain,
! [X2: nat] :
( ( ( pl @ ( pl @ x @ y ) @ X2 )
!= ( pl @ x @ ( pl @ y @ X2 ) ) )
| ( esti @ X2
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl101]) ).
thf(zip_derived_cl63,plain,
! [X2: set] :
( ( esti @ ( '#sk29' @ X2 ) @ X2 )
| ( !!
@ ^ [Y0: nat] : ( esti @ Y0 @ X2 ) )
| ~ ( esti @ n_1 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl65,plain,
! [X2: set,X4: nat] :
( ( esti @ X4 @ X2 )
| ~ ( esti @ n_1 @ X2 )
| ( esti @ ( '#sk29' @ X2 ) @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl67,plain,
! [X0: set] :
( ( esti @ ( '#sk29' @ X0 ) @ X0 )
| ~ ( esti @ n_1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl112,plain,
( ( ( pl @ ( pl @ x @ y ) @ n_1 )
!= ( pl @ x @ ( pl @ y @ n_1 ) ) )
| ( esti
@ ( '#sk29'
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) )
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl67]) ).
thf(zip_derived_cl9_004,plain,
! [X2: nat] :
( ( suc @ X2 )
= ( pl @ X2 @ n_1 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl53_005,plain,
! [X2: nat,X4: nat] :
( ( suc @ ( pl @ X2 @ X4 ) )
= ( pl @ X2 @ ( suc @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl9_006,plain,
! [X2: nat] :
( ( suc @ X2 )
= ( pl @ X2 @ n_1 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl115,plain,
( ( ( pl @ x @ ( suc @ y ) )
!= ( pl @ x @ ( suc @ y ) ) )
| ( esti
@ ( '#sk29'
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) )
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl9,zip_derived_cl53,zip_derived_cl9]) ).
thf(zip_derived_cl116,plain,
( esti
@ ( '#sk29'
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) )
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl115]) ).
thf(zip_derived_cl74_007,plain,
! [X2: nat] :
( ~ ( esti @ X2
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) )
| ( ( pl @ ( pl @ x @ y ) @ X2 )
= ( pl @ x @ ( pl @ y @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl128,plain,
( ( pl @ ( pl @ x @ y )
@ ( '#sk29'
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) )
= ( pl @ x
@ ( pl @ y
@ ( '#sk29'
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl74]) ).
thf(zip_derived_cl53_008,plain,
! [X2: nat,X4: nat] :
( ( suc @ ( pl @ X2 @ X4 ) )
= ( pl @ X2 @ ( suc @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl146,plain,
( ( suc
@ ( pl @ x
@ ( pl @ y
@ ( '#sk29'
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ) ) )
= ( pl @ ( pl @ x @ y )
@ ( suc
@ ( '#sk29'
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl128,zip_derived_cl53]) ).
thf(zip_derived_cl53_009,plain,
! [X2: nat,X4: nat] :
( ( suc @ ( pl @ X2 @ X4 ) )
= ( pl @ X2 @ ( suc @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl53_010,plain,
! [X2: nat,X4: nat] :
( ( suc @ ( pl @ X2 @ X4 ) )
= ( pl @ X2 @ ( suc @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl147,plain,
( ( pl @ x
@ ( pl @ y
@ ( suc
@ ( '#sk29'
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ) ) )
= ( pl @ ( pl @ x @ y )
@ ( suc
@ ( '#sk29'
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl668,plain,
! [X0: nat] :
( ( ( pl @ x @ ( suc @ y ) )
!= ( pl @ x @ ( suc @ y ) ) )
| ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) )
| ( ( pl @ x
@ ( pl @ y
@ ( suc
@ ( '#sk29'
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ) ) )
!= ( pl @ x
@ ( pl @ y
@ ( suc
@ ( '#sk29'
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl667,zip_derived_cl9,zip_derived_cl53,zip_derived_cl9,zip_derived_cl147]) ).
thf(zip_derived_cl669,plain,
! [X0: nat] :
( ( ( pl @ x
@ ( pl @ y
@ ( suc
@ ( '#sk29'
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ) ) )
!= ( pl @ x
@ ( pl @ y
@ ( suc
@ ( '#sk29'
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ) ) ) )
| ( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl668]) ).
thf(zip_derived_cl670,plain,
! [X0: nat] :
( esti @ X0
@ ( setof
@ ^ [Y0: nat] :
( ( pl @ ( pl @ x @ y ) @ Y0 )
= ( pl @ x @ ( pl @ y @ Y0 ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl669]) ).
thf(zip_derived_cl949,plain,
! [X2: nat] :
( ( pl @ ( pl @ x @ y ) @ X2 )
= ( pl @ x @ ( pl @ y @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl74,zip_derived_cl670]) ).
thf(zip_derived_cl960,plain,
( ( pl @ x @ ( pl @ y @ z ) )
!= ( pl @ x @ ( pl @ y @ z ) ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl949]) ).
thf(zip_derived_cl961,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl960]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM643^1 : TPTP v9.2.0. Released v3.7.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3yFXg12igc true
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 16:52:08 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in HO mode
% 0.54/0.66 % Total configuration time : 828
% 0.54/0.66 % Estimated wc time : 1656
% 0.54/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.79 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.84 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.86 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 7.88/2.17 % Solved by lams/35_full_unif4.sh.
% 7.88/2.17 % done 186 iterations in 1.298s
% 7.88/2.17 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.88/2.17 % SZS output start Refutation
% See solution above
% 7.88/2.17
% 7.88/2.17
% 7.88/2.17 % Terminating...
% 8.28/2.32 % Runner terminated.
% 8.28/2.33 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------