%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ALG260^2 : 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.WE9ewyTERK 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 04:28:29 PM UTC 2025
% Result : Theorem 0.57s 0.82s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 32 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 111 ( 33 equ; 9 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 327 ( 25 ~; 0 |; 0 &; 254 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 14 usr; 10 con; 0-3 aty)
% ( 26 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 84 ( 51 ^; 33 !; 0 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
thf(term_type,type,
term: $tType ).
thf(subst_type,type,
subst: $tType ).
thf(lam_type,type,
lam: term > term ).
thf('#sk39_type',type,
'#sk39': subst > term > term ).
thf(hoaslamnotvar_lthm_type,type,
hoaslamnotvar_lthm: $o ).
thf(one_type,type,
one: term ).
thf(id_type,type,
id: subst ).
thf(comp_type,type,
comp: subst > subst > subst ).
thf(axvarid_type,type,
axvarid: $o ).
thf(sh_type,type,
sh: subst ).
thf(lamnotvar_type,type,
lamnotvar: $o ).
thf(sub_type,type,
sub: term > subst > term ).
thf(var_type,type,
var: term > $o ).
thf(hoaslamnotvar_type,type,
hoaslamnotvar: $o ).
thf(hoaslam_type,type,
hoaslam: subst > ( subst > term > term ) > term ).
thf(hoasvar_type,type,
hoasvar: subst > term > subst > $o ).
thf(hoaslam,axiom,
( hoaslam
= ( ^ [M: subst,F: subst > term > term] : ( lam @ ( F @ sh @ one ) ) ) ) ).
thf(zip_derived_cl1,plain,
( hoaslam
= ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) ) ) ),
inference(cnf,[status(esa)],[hoaslam]) ).
thf(zip_derived_cl4,plain,
! [X1: subst,X2: subst > term > term] :
( ( hoaslam @ X1 @ X2 )
= ( ^ [Y0: subst,Y1: subst > term > term] : ( lam @ ( Y1 @ sh @ one ) )
@ X1
@ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X1: subst,X2: subst > term > term] :
( ( hoaslam @ X1 @ X2 )
= ( lam @ ( X2 @ sh @ one ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl4]) ).
thf(hoaslamnotvar_lthm,axiom,
( hoaslamnotvar_lthm
= ( axvarid
=> ( lamnotvar
=> hoaslamnotvar ) ) ) ).
thf('0',plain,
( hoaslamnotvar_lthm
= ( axvarid
=> ( lamnotvar
=> hoaslamnotvar ) ) ),
define([status(thm)]) ).
thf(hoaslamnotvar,axiom,
( hoaslamnotvar
= ( ! [F: subst > term > term] :
( ! [M: subst,A: term,N: subst] :
( ( sub @ ( F @ M @ A ) @ N )
= ( F @ ( comp @ M @ N ) @ ( sub @ A @ N ) ) )
=> ~ ( hoasvar @ id
@ ( hoaslam @ id
@ ^ [M: subst,A: term] : ( F @ M @ A ) )
@ id ) ) ) ) ).
thf('1',plain,
( hoaslamnotvar
= ( ! [X4: subst > term > term] :
( ! [X6: subst,X8: term,X10: subst] :
( ( sub @ ( X4 @ X6 @ X8 ) @ X10 )
= ( X4 @ ( comp @ X6 @ X10 ) @ ( sub @ X8 @ X10 ) ) )
=> ~ ( hoasvar @ id
@ ( hoaslam @ id
@ ^ [V_1: subst,V_2: term] : ( X4 @ V_1 @ V_2 ) )
@ id ) ) ) ),
define([status(thm)]) ).
thf(hoasvar,axiom,
( hoasvar
= ( ^ [M: subst,A: term,N: subst] : ( var @ ( sub @ A @ N ) ) ) ) ).
thf('2',plain,
( hoasvar
= ( ^ [M: subst,A: term,N: subst] : ( var @ ( sub @ A @ N ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[hoasvar]) ).
thf('3',plain,
( hoasvar
= ( ^ [V_1: subst,V_2: term,V_3: subst] : ( var @ ( sub @ V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(lamnotvar,axiom,
( lamnotvar
= ( ! [A: term] :
~ ( var @ ( lam @ A ) ) ) ) ).
thf('4',plain,
( lamnotvar
= ( ! [X4: term] :
~ ( var @ ( lam @ X4 ) ) ) ),
define([status(thm)]) ).
thf(axvarid,axiom,
( axvarid
= ( ! [A: term] :
( ( sub @ A @ id )
= A ) ) ) ).
thf('5',plain,
( axvarid
= ( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
hoaslamnotvar_lthm ).
thf(zf_stmt_0,conjecture,
( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 )
=> ( ! [X6: term] :
~ ( var @ ( lam @ X6 ) )
=> ! [X8: subst > term > term] :
( ! [X10: subst,X12: term,X14: subst] :
( ( sub @ ( X8 @ X10 @ X12 ) @ X14 )
= ( X8 @ ( comp @ X10 @ X14 ) @ ( sub @ X12 @ X14 ) ) )
=> ~ ( var
@ ( sub
@ ( hoaslam @ id
@ ^ [V_1: subst,V_2: term] : ( X8 @ V_1 @ V_2 ) )
@ id ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: term] :
( ( sub @ X4 @ id )
= X4 )
=> ( ! [X6: term] :
~ ( var @ ( lam @ X6 ) )
=> ! [X8: subst > term > term] :
( ! [X10: subst,X12: term,X14: subst] :
( ( sub @ ( X8 @ X10 @ X12 ) @ X14 )
= ( X8 @ ( comp @ X10 @ X14 ) @ ( sub @ X12 @ X14 ) ) )
=> ~ ( var
@ ( sub
@ ( hoaslam @ id
@ ^ [V_1: subst,V_2: term] : ( X8 @ V_1 @ V_2 ) )
@ id ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
=> ( ( !!
@ ^ [Y0: term] : ( (~) @ ( var @ ( lam @ Y0 ) ) ) )
=> ( !!
@ ^ [Y0: subst > term > term] :
( ( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: term] :
( !!
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
= ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
=> ( (~)
@ ( var
@ ( sub
@ ( hoaslam @ id
@ ^ [Y1: subst,Y2: term] : ( Y0 @ Y1 @ Y2 ) )
@ id ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl29,plain,
~ ( ( !!
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) )
=> ( ( !!
@ ^ [Y0: term] : ( (~) @ ( var @ ( lam @ Y0 ) ) ) )
=> ( !!
@ ^ [Y0: subst > term > term] :
( ( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: term] :
( !!
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
= ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
=> ( (~) @ ( var @ ( sub @ ( hoaslam @ id @ Y0 ) @ id ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl31,plain,
~ ( ( !!
@ ^ [Y0: term] : ( (~) @ ( var @ ( lam @ Y0 ) ) ) )
=> ( !!
@ ^ [Y0: subst > term > term] :
( ( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: term] :
( !!
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
= ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
=> ( (~) @ ( var @ ( sub @ ( hoaslam @ id @ Y0 ) @ id ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl33,plain,
( !!
@ ^ [Y0: term] : ( (~) @ ( var @ ( lam @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl36,plain,
! [X2: term] :
~ ( var @ ( lam @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl54,plain,
! [X0: subst > term > term,X1: subst] :
~ ( var @ ( hoaslam @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl36]) ).
thf(zip_derived_cl34,plain,
~ ( !!
@ ^ [Y0: subst > term > term] :
( ( !!
@ ^ [Y1: subst] :
( !!
@ ^ [Y2: term] :
( !!
@ ^ [Y3: subst] :
( ( sub @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
= ( Y0 @ ( comp @ Y1 @ Y3 ) @ ( sub @ Y2 @ Y3 ) ) ) ) ) )
=> ( (~) @ ( var @ ( sub @ ( hoaslam @ id @ Y0 ) @ id ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl37,plain,
~ ( ( !!
@ ^ [Y0: subst] :
( !!
@ ^ [Y1: term] :
( !!
@ ^ [Y2: subst] :
( ( sub @ ( '#sk39' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk39' @ ( comp @ Y0 @ Y2 ) @ ( sub @ Y1 @ Y2 ) ) ) ) ) )
=> ( (~) @ ( var @ ( sub @ ( hoaslam @ id @ '#sk39' ) @ id ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl39,plain,
var @ ( sub @ ( hoaslam @ id @ '#sk39' ) @ id ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl30,plain,
( !!
@ ^ [Y0: term] :
( ( sub @ Y0 @ id )
= Y0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl32,plain,
! [X2: term] :
( ( sub @ X2 @ id )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl35,plain,
! [X2: term] :
( ( sub @ X2 @ id )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl48,plain,
var @ ( hoaslam @ id @ '#sk39' ),
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl35]) ).
thf(zip_derived_cl85,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl54,zip_derived_cl48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG260^2 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WE9ewyTERK true
% 0.13/0.35 % Computer : n010.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 17:01:23 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
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.55/0.67 % Total configuration time : 828
% 0.55/0.67 % Estimated wc time : 1656
% 0.55/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.57/0.81 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 0.57/0.82 % Solved by lams/35_full_unif4.sh.
% 0.57/0.82 % done 13 iterations in 0.066s
% 0.57/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.82 % SZS output start Refutation
% See solution above
% 0.57/0.82
% 0.57/0.82
% 0.57/0.82 % Terminating...
% 2.07/0.86 % Runner terminated.
% 2.07/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------