%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG265^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DLI8TziOnx true
% Computer : n021.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 04:28:30 PM UTC 2025
% Result : Theorem 129.21s 16.94s
% Output : Refutation 129.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 34 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 72 ( 36 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 945 ( 20 ~; 14 |; 0 &; 879 @)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 19 usr; 9 con; 0-3 aty)
% Number of variables : 279 ( 202 ^; 77 !; 0 ?; 279 :)
% Comments :
%------------------------------------------------------------------------------
thf(term_type,type,
term: $tType ).
thf(subst_type,type,
subst: $tType ).
thf(axmap_type,type,
axmap: $o ).
thf(axclos_type,type,
axclos: $o ).
thf(sk__95_type,type,
sk__95: term ).
thf(lam_type,type,
lam: term > term ).
thf(hoasinduction_lem3aa_type,type,
hoasinduction_lem3aa: $o ).
thf(push_type,type,
push: term > subst > subst ).
thf(sk__99_type,type,
sk__99: ( subst > term > term ) > subst ).
thf('#l_lift19624_type',type,
'#l_lift19624': subst > term > term ).
thf(sk__96_type,type,
sk__96: ( subst > term > term ) > term ).
thf(one_type,type,
one: term ).
thf(id_type,type,
id: subst ).
thf(comp_type,type,
comp: subst > subst > subst ).
thf(sk__98_type,type,
sk__98: ( subst > term > term ) > term ).
thf(sh_type,type,
sh: subst ).
thf(hoasinduction_lem3aa_lthm_type,type,
hoasinduction_lem3aa_lthm: $o ).
thf(sk__94_type,type,
sk__94: subst > term > subst > $o ).
thf(sk__97_type,type,
sk__97: ( subst > term > term ) > subst ).
thf(sub_type,type,
sub: term > subst > term ).
thf(hoaslam_type,type,
hoaslam: subst > ( subst > term > term ) > term ).
thf(hoasinduction_lem3aa_lthm,axiom,
( hoasinduction_lem3aa_lthm
= ( axclos
=> ( axmap
=> hoasinduction_lem3aa ) ) ) ).
thf('0',plain,
( hoasinduction_lem3aa_lthm
= ( axclos
=> ( axmap
=> hoasinduction_lem3aa ) ) ),
define([status(thm)]) ).
thf(hoasinduction_lem3aa,axiom,
( hoasinduction_lem3aa
= ( ! [P: subst > term > subst > $o] :
( ! [F: subst > term > term] :
( ! [M: subst,A: term,N: subst] :
( ( sub @ ( F @ M @ A ) @ N )
= ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) )
=> ( ! [A: term] :
( ( P @ id @ A @ id )
=> ( P @ id @ ( F @ id @ A ) @ id ) )
=> ( P @ id
@ ( hoaslam @ id
@ ^ [M: subst,A: term] : ( F @ M @ A ) )
@ id ) ) )
=> ! [A: term] :
( ! [B: term] :
( ( P @ id @ B @ id )
=> ( P @ id @ ( sub @ A @ ( push @ B @ id ) ) @ id ) )
=> ( P @ id @ ( lam @ ( sub @ A @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ).
thf('1',plain,
( hoasinduction_lem3aa
= ( ! [X4: subst > term > subst > $o] :
( ! [X6: subst > term > term] :
( ! [X8: subst,X10: term,X12: subst] :
( ( sub @ ( X6 @ X8 @ X10 ) @ X12 )
= ( X6 @ ( comp @ X8 @ X12 ) @ ( sub @ X10 @ X12 ) ) )
=> ( ! [X14: term] :
( ( X4 @ id @ X14 @ id )
=> ( X4 @ id @ ( X6 @ id @ X14 ) @ id ) )
=> ( X4 @ id
@ ( hoaslam @ id
@ ^ [V_1: subst,V_2: term] : ( X6 @ V_1 @ V_2 ) )
@ id ) ) )
=> ! [X16: term] :
( ! [X18: term] :
( ( X4 @ id @ X18 @ id )
=> ( X4 @ id @ ( sub @ X16 @ ( push @ X18 @ id ) ) @ id ) )
=> ( X4 @ id @ ( lam @ ( sub @ X16 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ),
define([status(thm)]) ).
thf(hoaslam,axiom,
( hoaslam
= ( ^ [M: subst,F: subst > term > term] : ( lam @ ( F @ sh @ one ) ) ) ) ).
thf('2',plain,
( hoaslam
= ( ^ [M: subst,F: subst > term > term] : ( lam @ ( F @ sh @ one ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[hoaslam]) ).
thf('3',plain,
( hoaslam
= ( ^ [V_1: subst,V_2: subst > term > term] : ( lam @ ( V_2 @ sh @ one ) ) ) ),
define([status(thm)]) ).
thf(axmap,axiom,
( axmap
= ( ! [A: term,M: subst,N: subst] :
( ( comp @ ( push @ A @ M ) @ N )
= ( push @ ( sub @ A @ N ) @ ( comp @ M @ N ) ) ) ) ) ).
thf('4',plain,
( axmap
= ( ! [X4: term,X6: subst,X8: subst] :
( ( comp @ ( push @ X4 @ X6 ) @ X8 )
= ( push @ ( sub @ X4 @ X8 ) @ ( comp @ X6 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(axclos,axiom,
( axclos
= ( ! [A: term,M: subst,N: subst] :
( ( sub @ ( sub @ A @ M ) @ N )
= ( sub @ A @ ( comp @ M @ N ) ) ) ) ) ).
thf('5',plain,
( axclos
= ( ! [X4: term,X6: subst,X8: subst] :
( ( sub @ ( sub @ X4 @ X6 ) @ X8 )
= ( sub @ X4 @ ( comp @ X6 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
hoasinduction_lem3aa_lthm ).
thf(zf_stmt_0,conjecture,
( ! [X4: term,X6: subst,X8: subst] :
( ( sub @ ( sub @ X4 @ X6 ) @ X8 )
= ( sub @ X4 @ ( comp @ X6 @ X8 ) ) )
=> ( ! [X10: term,X12: subst,X14: subst] :
( ( comp @ ( push @ X10 @ X12 ) @ X14 )
= ( push @ ( sub @ X10 @ X14 ) @ ( comp @ X12 @ X14 ) ) )
=> ! [X16: subst > term > subst > $o] :
( ! [X18: subst > term > term] :
( ! [X20: subst,X22: term,X24: subst] :
( ( sub @ ( X18 @ X20 @ X22 ) @ X24 )
= ( X18 @ ( comp @ X20 @ X24 ) @ ( sub @ X22 @ X24 ) ) )
=> ( ! [X26: term] :
( ( X16 @ id @ X26 @ id )
=> ( X16 @ id @ ( X18 @ id @ X26 ) @ id ) )
=> ( X16 @ id @ ( lam @ ( X18 @ sh @ one ) ) @ id ) ) )
=> ! [X28: term] :
( ! [X30: term] :
( ( X16 @ id @ X30 @ id )
=> ( X16 @ id @ ( sub @ X28 @ ( push @ X30 @ id ) ) @ id ) )
=> ( X16 @ id @ ( lam @ ( sub @ X28 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: term,X6: subst,X8: subst] :
( ( sub @ ( sub @ X4 @ X6 ) @ X8 )
= ( sub @ X4 @ ( comp @ X6 @ X8 ) ) )
=> ( ! [X10: term,X12: subst,X14: subst] :
( ( comp @ ( push @ X10 @ X12 ) @ X14 )
= ( push @ ( sub @ X10 @ X14 ) @ ( comp @ X12 @ X14 ) ) )
=> ! [X16: subst > term > subst > $o] :
( ! [X18: subst > term > term] :
( ! [X20: subst,X22: term,X24: subst] :
( ( sub @ ( X18 @ X20 @ X22 ) @ X24 )
= ( X18 @ ( comp @ X20 @ X24 ) @ ( sub @ X22 @ X24 ) ) )
=> ( ! [X26: term] :
( ( X16 @ id @ X26 @ id )
=> ( X16 @ id @ ( X18 @ id @ X26 ) @ id ) )
=> ( X16 @ id @ ( lam @ ( X18 @ sh @ one ) ) @ id ) ) )
=> ! [X28: term] :
( ! [X30: term] :
( ( X16 @ id @ X30 @ id )
=> ( X16 @ id @ ( sub @ X28 @ ( push @ X30 @ id ) ) @ id ) )
=> ( X16 @ id @ ( lam @ ( sub @ X28 @ ( push @ one @ sh ) ) ) @ id ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X5: term,X6: subst,X7: subst] :
( ( comp @ ( push @ X5 @ X7 ) @ X6 )
= ( push @ ( sub @ X5 @ X6 ) @ ( comp @ X7 @ X6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X4: subst > term > term] :
( ~ ( sk__94 @ id @ ( X4 @ id @ ( sk__96 @ X4 ) ) @ id )
| ( sk__94 @ id @ ( lam @ ( X4 @ sh @ one ) ) @ id )
| ( ( sub @ ( X4 @ ( sk__97 @ X4 ) @ ( sk__98 @ X4 ) ) @ ( sk__99 @ X4 ) )
!= ( X4 @ ( comp @ ( sk__97 @ X4 ) @ ( sk__99 @ X4 ) ) @ ( sub @ ( sk__98 @ X4 ) @ ( sk__99 @ X4 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
! [X3: term] :
( ( sk__94 @ id @ ( sub @ sk__95 @ ( push @ X3 @ id ) ) @ id )
| ~ ( sk__94 @ id @ X3 @ id ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl62,plain,
! [X0: subst > term > term] :
( ( ( sub
@ ( ^ [Y0: subst,Y1: term] :
( sub
@ ( ^ [Y2: subst,Y3: term] : sk__95
@ Y0
@ Y1 )
@ ( ^ [Y2: subst,Y3: term] :
( push
@ ( ^ [Y4: subst,Y5: term] : ( X0 @ Y4 @ Y5 )
@ Y2
@ Y3 )
@ ( ^ [Y4: subst,Y5: term] : Y4
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) )
@ ( sk__97
@ ^ [Y0: subst,Y1: term] :
( sub
@ ( ^ [Y2: subst,Y3: term] : sk__95
@ Y0
@ Y1 )
@ ( ^ [Y2: subst,Y3: term] :
( push
@ ( ^ [Y4: subst,Y5: term] : ( X0 @ Y4 @ Y5 )
@ Y2
@ Y3 )
@ ( ^ [Y4: subst,Y5: term] : Y4
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) ) )
@ ( sk__98
@ ^ [Y0: subst,Y1: term] :
( sub
@ ( ^ [Y2: subst,Y3: term] : sk__95
@ Y0
@ Y1 )
@ ( ^ [Y2: subst,Y3: term] :
( push
@ ( ^ [Y4: subst,Y5: term] : ( X0 @ Y4 @ Y5 )
@ Y2
@ Y3 )
@ ( ^ [Y4: subst,Y5: term] : Y4
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) ) ) )
@ ( sk__99
@ ^ [Y0: subst,Y1: term] :
( sub
@ ( ^ [Y2: subst,Y3: term] : sk__95
@ Y0
@ Y1 )
@ ( ^ [Y2: subst,Y3: term] :
( push
@ ( ^ [Y4: subst,Y5: term] : ( X0 @ Y4 @ Y5 )
@ Y2
@ Y3 )
@ ( ^ [Y4: subst,Y5: term] : Y4
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) ) ) )
!= ( ^ [Y0: subst,Y1: term] :
( sub
@ ( ^ [Y2: subst,Y3: term] : sk__95
@ Y0
@ Y1 )
@ ( ^ [Y2: subst,Y3: term] :
( push
@ ( ^ [Y4: subst,Y5: term] : ( X0 @ Y4 @ Y5 )
@ Y2
@ Y3 )
@ ( ^ [Y4: subst,Y5: term] : Y4
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) )
@ ( comp
@ ( sk__97
@ ^ [Y0: subst,Y1: term] :
( sub
@ ( ^ [Y2: subst,Y3: term] : sk__95
@ Y0
@ Y1 )
@ ( ^ [Y2: subst,Y3: term] :
( push
@ ( ^ [Y4: subst,Y5: term] : ( X0 @ Y4 @ Y5 )
@ Y2
@ Y3 )
@ ( ^ [Y4: subst,Y5: term] : Y4
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) ) )
@ ( sk__99
@ ^ [Y0: subst,Y1: term] :
( sub
@ ( ^ [Y2: subst,Y3: term] : sk__95
@ Y0
@ Y1 )
@ ( ^ [Y2: subst,Y3: term] :
( push
@ ( ^ [Y4: subst,Y5: term] : ( X0 @ Y4 @ Y5 )
@ Y2
@ Y3 )
@ ( ^ [Y4: subst,Y5: term] : Y4
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) ) ) )
@ ( sub
@ ( sk__98
@ ^ [Y0: subst,Y1: term] :
( sub
@ ( ^ [Y2: subst,Y3: term] : sk__95
@ Y0
@ Y1 )
@ ( ^ [Y2: subst,Y3: term] :
( push
@ ( ^ [Y4: subst,Y5: term] : ( X0 @ Y4 @ Y5 )
@ Y2
@ Y3 )
@ ( ^ [Y4: subst,Y5: term] : Y4
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) ) )
@ ( sk__99
@ ^ [Y0: subst,Y1: term] :
( sub
@ ( ^ [Y2: subst,Y3: term] : sk__95
@ Y0
@ Y1 )
@ ( ^ [Y2: subst,Y3: term] :
( push
@ ( ^ [Y4: subst,Y5: term] : ( X0 @ Y4 @ Y5 )
@ Y2
@ Y3 )
@ ( ^ [Y4: subst,Y5: term] : Y4
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) ) ) ) ) )
| ( sk__94 @ id
@ ( lam
@ ( ^ [Y0: subst,Y1: term] :
( sub
@ ( ^ [Y2: subst,Y3: term] : sk__95
@ Y0
@ Y1 )
@ ( ^ [Y2: subst,Y3: term] :
( push
@ ( ^ [Y4: subst,Y5: term] : ( X0 @ Y4 @ Y5 )
@ Y2
@ Y3 )
@ ( ^ [Y4: subst,Y5: term] : Y4
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) )
@ sh
@ one ) )
@ id )
| ~ ( sk__94 @ id
@ ( X0 @ id
@ ( sk__96
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ ( X0 @ Y0 @ Y1 ) @ Y0 ) ) ) )
@ id ) ),
inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl75,plain,
! [X0: subst > term > term] :
( ( ( sub
@ ( sub @ sk__95
@ ( push
@ ( X0
@ ( sk__97
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ ( X0 @ Y0 @ Y1 ) @ Y0 ) ) )
@ ( sk__98
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ ( X0 @ Y0 @ Y1 ) @ Y0 ) ) ) )
@ ( sk__97
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ ( X0 @ Y0 @ Y1 ) @ Y0 ) ) ) ) )
@ ( sk__99
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ ( X0 @ Y0 @ Y1 ) @ Y0 ) ) ) )
!= ( sub @ sk__95
@ ( push
@ ( X0
@ ( comp
@ ( sk__97
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ ( X0 @ Y0 @ Y1 ) @ Y0 ) ) )
@ ( sk__99
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ ( X0 @ Y0 @ Y1 ) @ Y0 ) ) ) )
@ ( sub
@ ( sk__98
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ ( X0 @ Y0 @ Y1 ) @ Y0 ) ) )
@ ( sk__99
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ ( X0 @ Y0 @ Y1 ) @ Y0 ) ) ) ) )
@ ( comp
@ ( sk__97
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ ( X0 @ Y0 @ Y1 ) @ Y0 ) ) )
@ ( sk__99
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ ( X0 @ Y0 @ Y1 ) @ Y0 ) ) ) ) ) ) )
| ( sk__94 @ id @ ( lam @ ( sub @ sk__95 @ ( push @ ( X0 @ sh @ one ) @ sh ) ) ) @ id )
| ~ ( sk__94 @ id
@ ( X0 @ id
@ ( sk__96
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ ( X0 @ Y0 @ Y1 ) @ Y0 ) ) ) )
@ id ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl1029,plain,
( ( ( sub
@ ( sub @ sk__95
@ ( push
@ ( ^ [Y0: subst,Y1: term] : Y1
@ ( sk__97
@ ^ [Y0: subst,Y1: term] :
( sub @ sk__95
@ ( push
@ ( ^ [Y2: subst,Y3: term] : Y3
@ Y0
@ Y1 )
@ Y0 ) ) )
@ ( sk__98
@ ^ [Y0: subst,Y1: term] :
( sub @ sk__95
@ ( push
@ ( ^ [Y2: subst,Y3: term] : Y3
@ Y0
@ Y1 )
@ Y0 ) ) ) )
@ ( sk__97
@ ^ [Y0: subst,Y1: term] :
( sub @ sk__95
@ ( push
@ ( ^ [Y2: subst,Y3: term] : Y3
@ Y0
@ Y1 )
@ Y0 ) ) ) ) )
@ ( sk__99
@ ^ [Y0: subst,Y1: term] :
( sub @ sk__95
@ ( push
@ ( ^ [Y2: subst,Y3: term] : Y3
@ Y0
@ Y1 )
@ Y0 ) ) ) )
!= ( sub @ sk__95
@ ( comp
@ ( push
@ ( sk__98
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ Y1 @ Y0 ) ) )
@ ( sk__97
@ ^ [Y0: subst,Y1: term] :
( sub @ sk__95
@ ( push
@ ( ^ [Y2: subst,Y3: term] : Y3
@ Y0
@ Y1 )
@ Y0 ) ) ) )
@ ( sk__99
@ ^ [Y0: subst,Y1: term] :
( sub @ sk__95
@ ( push
@ ( ^ [Y2: subst,Y3: term] : Y3
@ Y0
@ Y1 )
@ Y0 ) ) ) ) ) )
| ~ ( sk__94 @ id
@ ( ^ [Y0: subst,Y1: term] : Y1
@ id
@ ( sk__96
@ ^ [Y0: subst,Y1: term] :
( sub @ sk__95
@ ( push
@ ( ^ [Y2: subst,Y3: term] : Y3
@ Y0
@ Y1 )
@ Y0 ) ) ) )
@ id )
| ( sk__94 @ id
@ ( lam
@ ( sub @ sk__95
@ ( push
@ ( ^ [Y0: subst,Y1: term] : Y1
@ sh
@ one )
@ sh ) ) )
@ id ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl75]) ).
thf(zip_derived_cl1041,plain,
( ( ( sub
@ ( sub @ sk__95
@ ( push
@ ( sk__98
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ Y1 @ Y0 ) ) )
@ ( sk__97
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ Y1 @ Y0 ) ) ) ) )
@ ( sk__99
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ Y1 @ Y0 ) ) ) )
!= ( sub @ sk__95
@ ( comp
@ ( push
@ ( sk__98
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ Y1 @ Y0 ) ) )
@ ( sk__97
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ Y1 @ Y0 ) ) ) )
@ ( sk__99
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ Y1 @ Y0 ) ) ) ) ) )
| ~ ( sk__94 @ id
@ ( sk__96
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ Y1 @ Y0 ) ) )
@ id )
| ( sk__94 @ id @ ( lam @ ( sub @ sk__95 @ ( push @ one @ sh ) ) ) @ id ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1029]) ).
thf(zip_derived_cl0,plain,
! [X0: term,X1: subst,X2: subst] :
( ( sub @ ( sub @ X0 @ X1 ) @ X2 )
= ( sub @ X0 @ ( comp @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( sk__94 @ id @ ( lam @ ( sub @ sk__95 @ ( push @ one @ sh ) ) ) @ id ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1042,plain,
( ( ( sub
@ ( sub @ sk__95
@ ( push
@ ( sk__98
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ Y1 @ Y0 ) ) )
@ ( sk__97
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ Y1 @ Y0 ) ) ) ) )
@ ( sk__99
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ Y1 @ Y0 ) ) ) )
!= ( sub
@ ( sub @ sk__95
@ ( push
@ ( sk__98
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ Y1 @ Y0 ) ) )
@ ( sk__97
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ Y1 @ Y0 ) ) ) ) )
@ ( sk__99
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ Y1 @ Y0 ) ) ) ) )
| ~ ( sk__94 @ id
@ ( sk__96
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ Y1 @ Y0 ) ) )
@ id ) ),
inference(demod,[status(thm)],[zip_derived_cl1041,zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl1043,plain,
~ ( sk__94 @ id
@ ( sk__96
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ Y1 @ Y0 ) ) )
@ id ),
inference(simplify,[status(thm)],[zip_derived_cl1042]) ).
thf(zip_derived_cl1043_001,plain,
~ ( sk__94 @ id
@ ( sk__96
@ ^ [Y0: subst,Y1: term] : ( sub @ sk__95 @ ( push @ Y1 @ Y0 ) ) )
@ id ),
inference(simplify,[status(thm)],[zip_derived_cl1042]) ).
thf(zip_derived_cl3902,plain,
! [X1: subst,X2: term] :
( ( '#l_lift19624' @ X1 @ X2 )
= ( sub @ sk__95 @ ( push @ X2 @ X1 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl3903,plain,
~ ( sk__94 @ id @ ( sk__96 @ '#l_lift19624' ) @ id ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl1043,zip_derived_cl3902]) ).
thf(zip_derived_cl2_002,plain,
~ ( sk__94 @ id @ ( lam @ ( sub @ sk__95 @ ( push @ one @ sh ) ) ) @ id ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl0_003,plain,
! [X0: term,X1: subst,X2: subst] :
( ( sub @ ( sub @ X0 @ X1 ) @ X2 )
= ( sub @ X0 @ ( comp @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5_004,plain,
! [X5: term,X6: subst,X7: subst] :
( ( comp @ ( push @ X5 @ X7 ) @ X6 )
= ( push @ ( sub @ X5 @ X6 ) @ ( comp @ X7 @ X6 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3902_005,plain,
! [X1: subst,X2: term] :
( ( '#l_lift19624' @ X1 @ X2 )
= ( sub @ sk__95 @ ( push @ X2 @ X1 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl4,plain,
! [X4: subst > term > term] :
( ( sk__94 @ id @ ( sk__96 @ X4 ) @ id )
| ( sk__94 @ id @ ( lam @ ( X4 @ sh @ one ) ) @ id )
| ( ( sub @ ( X4 @ ( sk__97 @ X4 ) @ ( sk__98 @ X4 ) ) @ ( sk__99 @ X4 ) )
!= ( X4 @ ( comp @ ( sk__97 @ X4 ) @ ( sk__99 @ X4 ) ) @ ( sub @ ( sk__98 @ X4 ) @ ( sk__99 @ X4 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4247,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl3903,zip_derived_cl2,zip_derived_cl0,zip_derived_cl5,zip_derived_cl3902,zip_derived_cl4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG265^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DLI8TziOnx true
% 0.13/0.34 % Computer : n021.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 17:04:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in HO mode
% 0.58/0.66 % Total configuration time : 828
% 0.58/0.66 % Estimated wc time : 1656
% 0.58/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 129.21/16.94 % Solved by lams/40_c.s.sh.
% 129.21/16.94 % done 784 iterations in 16.189s
% 129.21/16.94 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 129.21/16.94 % SZS output start Refutation
% See solution above
% 129.21/16.94
% 129.21/16.94
% 129.21/16.94 % Terminating...
% 129.85/17.01 % Runner terminated.
% 129.85/17.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------