%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP099^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QqMgrtOdLg true
% Computer : n015.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 04:38:49 PM UTC 2025
% Result : Theorem 20.38s 3.52s
% Output : Refutation 20.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 57 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 154 ( 57 equ; 2 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 621 ( 52 ~; 23 |; 14 &; 494 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 10 usr; 6 con; 0-3 aty)
% ( 16 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 79 ( 28 ^; 51 !; 0 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
thf(nat_type,type,
nat: $tType ).
thf(list_a_type,type,
list_a: $tType ).
thf(listIn1312259492pend_a_type,type,
listIn1312259492pend_a: list_a > ( nat > a ) > nat > a ).
thf(ord_less_eq_nat_type,type,
ord_less_eq_nat: nat > nat > $o ).
thf(minus_minus_nat_type,type,
minus_minus_nat: nat > nat > nat ).
thf(xs_type,type,
xs: list_a ).
thf(listIn1417627087drop_a_type,type,
listIn1417627087drop_a: nat > ( nat > a ) > nat > a ).
thf(drop_a_type,type,
drop_a: nat > list_a > list_a ).
thf(f_type,type,
f: nat > a ).
thf(ord_less_nat_type,type,
ord_less_nat: nat > nat > $o ).
thf(a_type,type,
a: $tType ).
thf(size_size_list_a_type,type,
size_size_list_a: list_a > nat ).
thf(n_type,type,
n: nat ).
thf(fact_35_i__append__i__drop__eq2,axiom,
! [Xs: list_a,N: nat,F: nat > a] :
( ( ord_less_eq_nat @ ( size_size_list_a @ Xs ) @ N )
=> ( ( listIn1417627087drop_a @ N @ ( listIn1312259492pend_a @ Xs @ F ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ N @ ( size_size_list_a @ Xs ) ) @ F ) ) ) ).
thf(zip_derived_cl35,plain,
( !!
@ ^ [Y0: list_a] :
( !!
@ ^ [Y1: nat] :
( !!
@ ^ [Y2: nat > a] :
( ( ord_less_eq_nat @ ( size_size_list_a @ Y0 ) @ Y1 )
=> ( ( listIn1417627087drop_a @ Y1 @ ( listIn1312259492pend_a @ Y0 @ Y2 ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ Y1 @ ( size_size_list_a @ Y0 ) ) @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_35_i__append__i__drop__eq2]) ).
thf(zip_derived_cl3391,plain,
! [X2: list_a] :
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat > a] :
( ( ord_less_eq_nat @ ( size_size_list_a @ X2 ) @ Y0 )
=> ( ( listIn1417627087drop_a @ Y0 @ ( listIn1312259492pend_a @ X2 @ Y1 ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ Y0 @ ( size_size_list_a @ X2 ) ) @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl3392,plain,
! [X2: list_a,X4: nat] :
( !!
@ ^ [Y0: nat > a] :
( ( ord_less_eq_nat @ ( size_size_list_a @ X2 ) @ X4 )
=> ( ( listIn1417627087drop_a @ X4 @ ( listIn1312259492pend_a @ X2 @ Y0 ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ X4 @ ( size_size_list_a @ X2 ) ) @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3391]) ).
thf(zip_derived_cl3393,plain,
! [X2: list_a,X4: nat,X6: nat > a] :
( ( ord_less_eq_nat @ ( size_size_list_a @ X2 ) @ X4 )
=> ( ( listIn1417627087drop_a @ X4 @ ( listIn1312259492pend_a @ X2 @ X6 ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ X4 @ ( size_size_list_a @ X2 ) ) @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3392]) ).
thf(zip_derived_cl3394,plain,
! [X2: list_a,X4: nat,X6: nat > a] :
( ~ ( ord_less_eq_nat @ ( size_size_list_a @ X2 ) @ X4 )
| ( ( listIn1417627087drop_a @ X4 @ ( listIn1312259492pend_a @ X2 @ X6 ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ X4 @ ( size_size_list_a @ X2 ) ) @ X6 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3393]) ).
thf(zip_derived_cl3395,plain,
! [X2: list_a,X4: nat,X6: nat > a] :
( ~ ( ord_less_eq_nat @ ( size_size_list_a @ X2 ) @ X4 )
| ( ( listIn1417627087drop_a @ X4 @ ( listIn1312259492pend_a @ X2 @ X6 ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ X4 @ ( size_size_list_a @ X2 ) ) @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3394]) ).
thf(conj_0,conjecture,
( ( ~ ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) ) )
& ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ~ ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) ) )
& ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl252,plain,
~ ( ( ( (~) @ ( ord_less_nat @ n @ ( size_size_list_a @ xs ) ) )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) ) )
& ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl253,plain,
( ~ ( ( (~) @ ( ord_less_nat @ n @ ( size_size_list_a @ xs ) ) )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) ) )
| ~ ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl252]) ).
thf(zip_derived_cl255,plain,
( ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
!= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) )
| ~ ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl253]) ).
thf(zip_derived_cl259,plain,
( ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
!= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) )
| ~ ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl255]) ).
thf(zip_derived_cl260,plain,
( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
| ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
!= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl259]) ).
thf(fact_33_i__append__i__drop__eq1,axiom,
! [N: nat,Xs: list_a,F: nat > a] :
( ( ord_less_eq_nat @ N @ ( size_size_list_a @ Xs ) )
=> ( ( listIn1417627087drop_a @ N @ ( listIn1312259492pend_a @ Xs @ F ) )
= ( listIn1312259492pend_a @ ( drop_a @ N @ Xs ) @ F ) ) ) ).
thf(zip_derived_cl33,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: list_a] :
( !!
@ ^ [Y2: nat > a] :
( ( ord_less_eq_nat @ Y0 @ ( size_size_list_a @ Y1 ) )
=> ( ( listIn1417627087drop_a @ Y0 @ ( listIn1312259492pend_a @ Y1 @ Y2 ) )
= ( listIn1312259492pend_a @ ( drop_a @ Y0 @ Y1 ) @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_33_i__append__i__drop__eq1]) ).
thf(zip_derived_cl3122,plain,
! [X2: nat] :
( !!
@ ^ [Y0: list_a] :
( !!
@ ^ [Y1: nat > a] :
( ( ord_less_eq_nat @ X2 @ ( size_size_list_a @ Y0 ) )
=> ( ( listIn1417627087drop_a @ X2 @ ( listIn1312259492pend_a @ Y0 @ Y1 ) )
= ( listIn1312259492pend_a @ ( drop_a @ X2 @ Y0 ) @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl3123,plain,
! [X2: nat,X4: list_a] :
( !!
@ ^ [Y0: nat > a] :
( ( ord_less_eq_nat @ X2 @ ( size_size_list_a @ X4 ) )
=> ( ( listIn1417627087drop_a @ X2 @ ( listIn1312259492pend_a @ X4 @ Y0 ) )
= ( listIn1312259492pend_a @ ( drop_a @ X2 @ X4 ) @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3122]) ).
thf(zip_derived_cl3124,plain,
! [X2: nat,X4: list_a,X6: nat > a] :
( ( ord_less_eq_nat @ X2 @ ( size_size_list_a @ X4 ) )
=> ( ( listIn1417627087drop_a @ X2 @ ( listIn1312259492pend_a @ X4 @ X6 ) )
= ( listIn1312259492pend_a @ ( drop_a @ X2 @ X4 ) @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3123]) ).
thf(zip_derived_cl3125,plain,
! [X2: nat,X4: list_a,X6: nat > a] :
( ~ ( ord_less_eq_nat @ X2 @ ( size_size_list_a @ X4 ) )
| ( ( listIn1417627087drop_a @ X2 @ ( listIn1312259492pend_a @ X4 @ X6 ) )
= ( listIn1312259492pend_a @ ( drop_a @ X2 @ X4 ) @ X6 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3124]) ).
thf(zip_derived_cl3126,plain,
! [X2: nat,X4: list_a,X6: nat > a] :
( ~ ( ord_less_eq_nat @ X2 @ ( size_size_list_a @ X4 ) )
| ( ( listIn1417627087drop_a @ X2 @ ( listIn1312259492pend_a @ X4 @ X6 ) )
= ( listIn1312259492pend_a @ ( drop_a @ X2 @ X4 ) @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3125]) ).
thf(zip_derived_cl254,plain,
( ~ ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
| ~ ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl253]) ).
thf(zip_derived_cl256,plain,
( ~ ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
| ~ ( $true
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl254]) ).
thf(zip_derived_cl257,plain,
( ~ ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
| ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
!= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl256]) ).
thf(zip_derived_cl258,plain,
( ~ ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
| ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
!= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl257]) ).
thf(zip_derived_cl3127,plain,
( ( ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f )
!= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) )
| ~ ( ord_less_eq_nat @ n @ ( size_size_list_a @ xs ) )
| ~ ( ord_less_nat @ n @ ( size_size_list_a @ xs ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3126,zip_derived_cl258]) ).
thf(zip_derived_cl3130,plain,
( ~ ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
| ~ ( ord_less_eq_nat @ n @ ( size_size_list_a @ xs ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3127]) ).
thf(fact_70_nat__less__le,axiom,
( ord_less_nat
= ( ^ [M3: nat,N3: nat] :
( ( M3 != N3 )
& ( ord_less_eq_nat @ M3 @ N3 ) ) ) ) ).
thf(zip_derived_cl70,plain,
( ord_less_nat
= ( ^ [Y0: nat,Y1: nat] :
( ( Y0 != Y1 )
& ( ord_less_eq_nat @ Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_70_nat__less__le]) ).
thf(zip_derived_cl365,plain,
! [X1: nat,X2: nat] :
( ( ord_less_nat @ X1 @ X2 )
= ( ^ [Y0: nat,Y1: nat] :
( ( Y0 != Y1 )
& ( ord_less_eq_nat @ Y0 @ Y1 ) )
@ X1
@ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl70]) ).
thf(zip_derived_cl367,plain,
! [X1: nat,X2: nat] :
( ( ord_less_nat @ X1 @ X2 )
= ( ( X1 != X2 )
& ( ord_less_eq_nat @ X1 @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl365]) ).
thf(zip_derived_cl414,plain,
! [X1: nat,X2: nat] :
( ( ord_less_eq_nat @ X1 @ X2 )
| ( ( ord_less_nat @ X1 @ X2 )
= ( ( X1 != X2 )
& $false ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl367]) ).
thf(zip_derived_cl415,plain,
! [X1: nat,X2: nat] :
( ( ord_less_eq_nat @ X1 @ X2 )
| ~ ( ord_less_nat @ X1 @ X2 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl414]) ).
thf(zip_derived_cl3132,plain,
~ ( ord_less_nat @ n @ ( size_size_list_a @ xs ) ),
inference(clc,[status(thm)],[zip_derived_cl3130,zip_derived_cl415]) ).
thf(zip_derived_cl3133,plain,
( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
!= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) ),
inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl3132]) ).
thf(zip_derived_cl3396,plain,
( ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
!= ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) ) )
| ~ ( ord_less_eq_nat @ ( size_size_list_a @ xs ) @ n ) ),
inference('sup-',[status(thm)],[zip_derived_cl3395,zip_derived_cl3133]) ).
thf(zip_derived_cl3417,plain,
~ ( ord_less_eq_nat @ ( size_size_list_a @ xs ) @ n ),
inference(simplify,[status(thm)],[zip_derived_cl3396]) ).
thf(zip_derived_cl3417_001,plain,
~ ( ord_less_eq_nat @ ( size_size_list_a @ xs ) @ n ),
inference(simplify,[status(thm)],[zip_derived_cl3396]) ).
thf(fact_60_nat__le__linear,axiom,
! [M: nat,N: nat] :
( ( ord_less_eq_nat @ M @ N )
| ( ord_less_eq_nat @ N @ M ) ) ).
thf(zip_derived_cl60,plain,
( !!
@ ^ [Y0: nat] :
( !!
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ Y0 @ Y1 )
| ( ord_less_eq_nat @ Y1 @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[fact_60_nat__le__linear]) ).
thf(zip_derived_cl517,plain,
! [X2: nat] :
( !!
@ ^ [Y0: nat] :
( ( ord_less_eq_nat @ X2 @ Y0 )
| ( ord_less_eq_nat @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl518,plain,
! [X2: nat,X4: nat] :
( ( ord_less_eq_nat @ X2 @ X4 )
| ( ord_less_eq_nat @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl517]) ).
thf(zip_derived_cl519,plain,
! [X2: nat,X4: nat] :
( ( ord_less_eq_nat @ X2 @ X4 )
| ( ord_less_eq_nat @ X4 @ X2 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl518]) ).
thf(zip_derived_cl3424,plain,
ord_less_eq_nat @ n @ ( size_size_list_a @ xs ),
inference('sup+',[status(thm)],[zip_derived_cl3417,zip_derived_cl519]) ).
thf(fact_178_dual__order_Ostrict__iff__order,axiom,
( ord_less_nat
= ( ^ [B2: nat,A2: nat] :
( ( A2 != B2 )
& ( ord_less_eq_nat @ B2 @ A2 ) ) ) ) ).
thf(zip_derived_cl178,plain,
( ord_less_nat
= ( ^ [Y0: nat,Y1: nat] :
( ( Y1 != Y0 )
& ( ord_less_eq_nat @ Y0 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[fact_178_dual__order_Ostrict__iff__order]) ).
thf(zip_derived_cl373,plain,
! [X1: nat,X2: nat] :
( ( ord_less_nat @ X1 @ X2 )
= ( ^ [Y0: nat,Y1: nat] :
( ( Y1 != Y0 )
& ( ord_less_eq_nat @ Y0 @ Y1 ) )
@ X1
@ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl178]) ).
thf(zip_derived_cl375,plain,
! [X1: nat,X2: nat] :
( ( ord_less_nat @ X1 @ X2 )
= ( ( X2 != X1 )
& ( ord_less_eq_nat @ X1 @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl373]) ).
thf(zip_derived_cl3478,plain,
( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
= ( ( ( size_size_list_a @ xs )
!= n )
& $true ) ),
inference('sup+',[status(thm)],[zip_derived_cl3424,zip_derived_cl375]) ).
thf(zip_derived_cl3132_002,plain,
~ ( ord_less_nat @ n @ ( size_size_list_a @ xs ) ),
inference(clc,[status(thm)],[zip_derived_cl3130,zip_derived_cl415]) ).
thf(zip_derived_cl3519,plain,
~ ( ( ( size_size_list_a @ xs )
!= n )
& $true ),
inference(demod,[status(thm)],[zip_derived_cl3478,zip_derived_cl3132]) ).
thf(zip_derived_cl3520,plain,
~ ( ( ( size_size_list_a @ xs )
!= n ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl3519]) ).
thf(zip_derived_cl3521,plain,
( ( size_size_list_a @ xs )
= n ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl3520]) ).
thf(fact_56_le__refl,axiom,
! [N: nat] : ( ord_less_eq_nat @ N @ N ) ).
thf(zip_derived_cl56,plain,
( !!
@ ^ [Y0: nat] : ( ord_less_eq_nat @ Y0 @ Y0 ) ),
inference(cnf,[status(esa)],[fact_56_le__refl]) ).
thf(zip_derived_cl269,plain,
! [X2: nat] : ( ord_less_eq_nat @ X2 @ X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl3552,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3417,zip_derived_cl3521,zip_derived_cl269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP099^1 : TPTP v9.2.0. Released v7.5.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QqMgrtOdLg true
% 0.14/0.35 % Computer : n015.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 15:34:38 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
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.56/0.67 % Total configuration time : 828
% 0.56/0.67 % Estimated wc time : 1656
% 0.56/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 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/30_sp5.sh running for 60s
% 0.56/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/1.02 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 20.38/3.52 % Solved by lams/35_full_unif4.sh.
% 20.38/3.52 % done 329 iterations in 2.706s
% 20.38/3.52 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 20.38/3.52 % SZS output start Refutation
% See solution above
% 20.38/3.52
% 20.38/3.52
% 20.38/3.53 % Terminating...
% 21.11/3.70 % Runner terminated.
% 21.15/3.73 % Zipperpin 1.5 exiting
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