%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG253^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nJTnCJ5b3J true
% Computer : n002.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 04:28:27 PM UTC 2025
% Result : Theorem 0.59s 0.96s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 230 ( 17 equ; 0 cnn)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 857 ( 13 ~; 4 |; 0 &; 552 @)
% ( 0 <=>; 186 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 13 usr; 9 con; 0-2 aty)
% ( 102 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 189 ( 112 ^; 77 !; 0 ?; 189 :)
% Comments :
%------------------------------------------------------------------------------
thf(term_type,type,
term: $tType ).
thf(subst_type,type,
subst: $tType ).
thf(lam_type,type,
lam: term > term ).
thf('#sk1_type',type,
'#sk1': term > $o ).
thf(push_type,type,
push: term > subst > subst ).
thf(induction2_lthm_type,type,
induction2_lthm: $o ).
thf(id_type,type,
id: subst ).
thf('#sk173_type',type,
'#sk173': subst > term ).
thf(induction2_type,type,
induction2: $o ).
thf(axvarid_type,type,
axvarid: $o ).
thf(induction2lem_type,type,
induction2lem: $o ).
thf('#sk26_type',type,
'#sk26': term ).
thf(sub_type,type,
sub: term > subst > term ).
thf(ap_type,type,
ap: term > term > term ).
thf(var_type,type,
var: term > $o ).
thf(induction2_lthm,axiom,
( induction2_lthm
= ( axvarid
=> ( induction2lem
=> induction2 ) ) ) ).
thf('0',plain,
( induction2_lthm
= ( axvarid
=> ( induction2lem
=> induction2 ) ) ),
define([status(thm)]) ).
thf(induction2,axiom,
( induction2
= ( ! [P: term > $o] :
( ! [A: term] :
( ( var @ A )
=> ( P @ A ) )
=> ( ! [A: term,B: term] :
( ( P @ A )
=> ( ( P @ B )
=> ( P @ ( ap @ A @ B ) ) ) )
=> ( ! [A: term] :
( ! [B: term] :
( ( P @ B )
=> ( P @ ( sub @ A @ ( push @ B @ id ) ) ) )
=> ( P @ ( lam @ A ) ) )
=> ! [A: term] : ( P @ A ) ) ) ) ) ) ).
thf('1',plain,
( induction2
= ( ! [X4: term > $o] :
( ! [X6: term] :
( ( var @ X6 )
=> ( X4 @ X6 ) )
=> ( ! [X8: term,X10: term] :
( ( X4 @ X8 )
=> ( ( X4 @ X10 )
=> ( X4 @ ( ap @ X8 @ X10 ) ) ) )
=> ( ! [X12: term] :
( ! [X14: term] :
( ( X4 @ X14 )
=> ( X4 @ ( sub @ X12 @ ( push @ X14 @ id ) ) ) )
=> ( X4 @ ( lam @ X12 ) ) )
=> ! [X16: term] : ( X4 @ X16 ) ) ) ) ) ),
define([status(thm)]) ).
thf(induction2lem,axiom,
( induction2lem
= ( ! [P: term > $o] :
( ! [A: term,B: term] :
( ( P @ A )
=> ( ( P @ B )
=> ( P @ ( ap @ A @ B ) ) ) )
=> ( ! [A: term] :
( ! [B: term] :
( ( P @ B )
=> ( P @ ( sub @ A @ ( push @ B @ id ) ) ) )
=> ( P @ ( lam @ A ) ) )
=> ! [A: term,M: subst] :
( ! [B: term] :
( ( var @ B )
=> ( P @ ( sub @ B @ M ) ) )
=> ( P @ ( sub @ A @ M ) ) ) ) ) ) ) ).
thf('2',plain,
( induction2lem
= ( ! [X4: term > $o] :
( ! [X6: term,X8: term] :
( ( X4 @ X6 )
=> ( ( X4 @ X8 )
=> ( X4 @ ( ap @ X6 @ X8 ) ) ) )
=> ( ! [X10: term] :
( ! [X12: term] :
( ( X4 @ X12 )
=> ( X4 @ ( sub @ X10 @ ( push @ X12 @ id ) ) ) )
=> ( X4 @ ( lam @ X10 ) ) )
=> ! [X14: term,X16: subst] :
( ! [X18: term] :
( ( var @ X18 )
=> ( X4 @ ( sub @ X18 @ X16 ) ) )
=> ( X4 @ ( sub @ X14 @ X16 ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(axvarid,axiom,
( axvarid
= ( ! [A: term] :
( ( sub @ A @ id )
= A ) ) ) ).
thf('3',plain,
( axvarid
= ( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
induction2_lthm ).
thf(zf_stmt_0,conjecture,
( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 )
=> ( ! [X6: term > $o] :
( ! [X8: term,X10: term] :
( ( X6 @ X8 )
=> ( ( X6 @ X10 )
=> ( X6 @ ( ap @ X8 @ X10 ) ) ) )
=> ( ! [X12: term] :
( ! [X14: term] :
( ( X6 @ X14 )
=> ( X6 @ ( sub @ X12 @ ( push @ X14 @ id ) ) ) )
=> ( X6 @ ( lam @ X12 ) ) )
=> ! [X16: term,X18: subst] :
( ! [X20: term] :
( ( var @ X20 )
=> ( X6 @ ( sub @ X20 @ X18 ) ) )
=> ( X6 @ ( sub @ X16 @ X18 ) ) ) ) )
=> ! [X22: term > $o] :
( ! [X24: term] :
( ( var @ X24 )
=> ( X22 @ X24 ) )
=> ( ! [X26: term,X28: term] :
( ( X22 @ X26 )
=> ( ( X22 @ X28 )
=> ( X22 @ ( ap @ X26 @ X28 ) ) ) )
=> ( ! [X30: term] :
( ! [X32: term] :
( ( X22 @ X32 )
=> ( X22 @ ( sub @ X30 @ ( push @ X32 @ id ) ) ) )
=> ( X22 @ ( lam @ X30 ) ) )
=> ! [X34: term] : ( X22 @ X34 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 )
=> ( ! [X6: term > $o] :
( ! [X8: term,X10: term] :
( ( X6 @ X8 )
=> ( ( X6 @ X10 )
=> ( X6 @ ( ap @ X8 @ X10 ) ) ) )
=> ( ! [X12: term] :
( ! [X14: term] :
( ( X6 @ X14 )
=> ( X6 @ ( sub @ X12 @ ( push @ X14 @ id ) ) ) )
=> ( X6 @ ( lam @ X12 ) ) )
=> ! [X16: term,X18: subst] :
( ! [X20: term] :
( ( var @ X20 )
=> ( X6 @ ( sub @ X20 @ X18 ) ) )
=> ( X6 @ ( sub @ X16 @ X18 ) ) ) ) )
=> ! [X22: term > $o] :
( ! [X24: term] :
( ( var @ X24 )
=> ( X22 @ X24 ) )
=> ( ! [X26: term,X28: term] :
( ( X22 @ X26 )
=> ( ( X22 @ X28 )
=> ( X22 @ ( ap @ X26 @ X28 ) ) ) )
=> ( ! [X30: term] :
( ! [X32: term] :
( ( X22 @ X32 )
=> ( X22 @ ( sub @ X30 @ ( push @ X32 @ id ) ) ) )
=> ( X22 @ ( lam @ X30 ) ) )
=> ! [X34: term] : ( X22 @ X34 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
=> ( ( !!
@ ^ [Y0: term > $o] :
( ( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( ( Y0 @ Y1 )
=> ( ( Y0 @ Y2 )
=> ( Y0 @ ( ap @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y1: term] :
( ( !!
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) ) ) )
=> ( Y0 @ ( lam @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( Y0 @ ( sub @ Y1 @ Y2 ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: term > $o] :
( ( !!
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( ( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( ( Y0 @ Y1 )
=> ( ( Y0 @ Y2 )
=> ( Y0 @ ( ap @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y1: term] :
( ( !!
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) ) ) )
=> ( Y0 @ ( lam @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: term] : ( Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: term > $o] :
( ( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( ( Y0 @ Y1 )
=> ( ( Y0 @ Y2 )
=> ( Y0 @ ( ap @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y1: term] :
( ( !!
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) ) ) )
=> ( Y0 @ ( lam @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( Y0 @ ( sub @ Y1 @ Y2 ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: term > $o] :
( ( !!
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( ( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( ( Y0 @ Y1 )
=> ( ( Y0 @ Y2 )
=> ( Y0 @ ( ap @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y1: term] :
( ( !!
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) ) ) )
=> ( Y0 @ ( lam @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: term] : ( Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: term > $o] :
( ( !!
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( ( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( ( Y0 @ Y1 )
=> ( ( Y0 @ Y2 )
=> ( Y0 @ ( ap @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y1: term] :
( ( !!
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) ) ) )
=> ( Y0 @ ( lam @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: term] : ( Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
~ ( ( !!
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( '#sk1' @ Y0 ) ) )
=> ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( ( '#sk1' @ Y0 )
=> ( ( '#sk1' @ Y1 )
=> ( '#sk1' @ ( ap @ Y0 @ Y1 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: term] :
( ( !!
@ ^ [Y1: term] :
( ( '#sk1' @ Y1 )
=> ( '#sk1' @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( '#sk1' @ ( lam @ Y0 ) ) ) )
=> ( !!
@ ^ [Y0: term] : ( '#sk1' @ Y0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl20,plain,
~ ( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( ( '#sk1' @ Y0 )
=> ( ( '#sk1' @ Y1 )
=> ( '#sk1' @ ( ap @ Y0 @ Y1 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: term] :
( ( !!
@ ^ [Y1: term] :
( ( '#sk1' @ Y1 )
=> ( '#sk1' @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( '#sk1' @ ( lam @ Y0 ) ) ) )
=> ( !!
@ ^ [Y0: term] : ( '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl25,plain,
~ ( ( !!
@ ^ [Y0: term] :
( ( !!
@ ^ [Y1: term] :
( ( '#sk1' @ Y1 )
=> ( '#sk1' @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( '#sk1' @ ( lam @ Y0 ) ) ) )
=> ( !!
@ ^ [Y0: term] : ( '#sk1' @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl27,plain,
~ ( !!
@ ^ [Y0: term] : ( '#sk1' @ Y0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl28,plain,
~ ( '#sk1' @ '#sk26' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
! [X2: term] :
( ( sub @ X2 @ id )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl8,plain,
! [X2: term] :
( ( sub @ X2 @ id )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl26,plain,
( !!
@ ^ [Y0: term] :
( ( !!
@ ^ [Y1: term] :
( ( '#sk1' @ Y1 )
=> ( '#sk1' @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( '#sk1' @ ( lam @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: term > $o] :
( ( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: term] :
( ( Y0 @ Y1 )
=> ( ( Y0 @ Y2 )
=> ( Y0 @ ( ap @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y1: term] :
( ( !!
@ ^ [Y2: term] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( sub @ Y1 @ ( push @ Y2 @ id ) ) ) ) )
=> ( Y0 @ ( lam @ Y1 ) ) ) )
=> ( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( !!
@ ^ [Y3: term] :
( ( var @ Y3 )
=> ( Y0 @ ( sub @ Y3 @ Y2 ) ) ) )
=> ( Y0 @ ( sub @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl12,plain,
! [X2: term > $o] :
( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( ( X2 @ Y0 )
=> ( ( X2 @ Y1 )
=> ( X2 @ ( ap @ Y0 @ Y1 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: term] :
( ( !!
@ ^ [Y1: term] :
( ( X2 @ Y1 )
=> ( X2 @ ( sub @ Y0 @ ( push @ Y1 @ id ) ) ) ) )
=> ( X2 @ ( lam @ Y0 ) ) ) )
=> ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( ( !!
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( X2 @ ( sub @ Y2 @ Y1 ) ) ) )
=> ( X2 @ ( sub @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl45,plain,
( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( ( ^ [Y2: term] :
( '#sk1'
@ ( ^ [Y3: term] : Y3
@ Y2 ) )
@ Y0 )
=> ( ( ^ [Y2: term] :
( '#sk1'
@ ( ^ [Y3: term] : Y3
@ Y2 ) )
@ Y1 )
=> ( ^ [Y2: term] :
( '#sk1'
@ ( ^ [Y3: term] : Y3
@ Y2 ) )
@ ( ap @ Y0 @ Y1 ) ) ) ) ) )
=> ( $true
=> ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( ( !!
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( ^ [Y3: term] :
( '#sk1'
@ ( ^ [Y4: term] : Y4
@ Y3 ) )
@ ( sub @ Y2 @ Y1 ) ) ) )
=> ( ^ [Y2: term] :
( '#sk1'
@ ( ^ [Y3: term] : Y3
@ Y2 ) )
@ ( sub @ Y0 @ Y1 ) ) ) ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl12]) ).
thf(zip_derived_cl51,plain,
( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( ( '#sk1' @ Y0 )
=> ( ( '#sk1' @ Y1 )
=> ( '#sk1' @ ( ap @ Y0 @ Y1 ) ) ) ) ) )
=> ( $true
=> ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( ( !!
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( '#sk1' @ ( sub @ Y2 @ Y1 ) ) ) )
=> ( '#sk1' @ ( sub @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl52,plain,
( ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( ( '#sk1' @ Y0 )
=> ( ( '#sk1' @ Y1 )
=> ( '#sk1' @ ( ap @ Y0 @ Y1 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( ( !!
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( '#sk1' @ ( sub @ Y2 @ Y1 ) ) ) )
=> ( '#sk1' @ ( sub @ Y0 @ Y1 ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl57,plain,
( ~ ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( ( '#sk1' @ Y0 )
=> ( ( '#sk1' @ Y1 )
=> ( '#sk1' @ ( ap @ Y0 @ Y1 ) ) ) ) ) )
| ( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( ( !!
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( '#sk1' @ ( sub @ Y2 @ Y1 ) ) ) )
=> ( '#sk1' @ ( sub @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl24,plain,
( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: term] :
( ( '#sk1' @ Y0 )
=> ( ( '#sk1' @ Y1 )
=> ( '#sk1' @ ( ap @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl62,plain,
( !!
@ ^ [Y0: term] :
( !!
@ ^ [Y1: subst] :
( ( !!
@ ^ [Y2: term] :
( ( var @ Y2 )
=> ( '#sk1' @ ( sub @ Y2 @ Y1 ) ) ) )
=> ( '#sk1' @ ( sub @ Y0 @ Y1 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl57,zip_derived_cl24]) ).
thf(zip_derived_cl65,plain,
! [X2: term] :
( !!
@ ^ [Y0: subst] :
( ( !!
@ ^ [Y1: term] :
( ( var @ Y1 )
=> ( '#sk1' @ ( sub @ Y1 @ Y0 ) ) ) )
=> ( '#sk1' @ ( sub @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl74,plain,
! [X2: term,X4: subst] :
( ( !!
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( '#sk1' @ ( sub @ Y0 @ X4 ) ) ) )
=> ( '#sk1' @ ( sub @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl76,plain,
! [X0: term] :
( ( !!
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( '#sk1' @ ( sub @ Y0 @ id ) ) ) )
=> ( '#sk1' @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl74]) ).
thf(zip_derived_cl80,plain,
! [X0: term] :
( ~ ( !!
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( '#sk1' @ ( sub @ Y0 @ id ) ) ) )
| ( '#sk1' @ X0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl81,plain,
! [X0: term] :
( ~ ( ( var @ ( '#sk173' @ id ) )
=> ( '#sk1' @ ( sub @ ( '#sk173' @ id ) @ id ) ) )
| ( '#sk1' @ X0 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl8_001,plain,
! [X2: term] :
( ( sub @ X2 @ id )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl82,plain,
! [X0: term] :
( ~ ( ( var @ ( '#sk173' @ id ) )
=> ( '#sk1' @ ( '#sk173' @ id ) ) )
| ( '#sk1' @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl8]) ).
thf(zip_derived_cl19,plain,
( !!
@ ^ [Y0: term] :
( ( var @ Y0 )
=> ( '#sk1' @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl22,plain,
! [X2: term] :
( ( var @ X2 )
=> ( '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl83,plain,
! [X0: term] : ( '#sk1' @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl82,zip_derived_cl22]) ).
thf(zip_derived_cl86,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG253^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nJTnCJ5b3J true
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 17:03:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.56/0.68 % Total configuration time : 828
% 0.56/0.68 % Estimated wc time : 1656
% 0.56/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.80 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.57/0.81 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 0.57/0.82 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 0.59/0.96 % Solved by lams/35_full_unif.sh.
% 0.59/0.96 % done 56 iterations in 0.125s
% 0.59/0.96 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.96 % SZS output start Refutation
% See solution above
% 0.59/0.97
% 0.59/0.97
% 0.59/0.97 % Terminating...
% 0.63/1.08 % Runner terminated.
% 0.63/1.09 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------